## Begin on: Tue Oct 15 21:20:48 CEST 2019

ENUMERATION
No. of records: 1638

FAMILY (oriented family) : isomorphism classes
1     [ E1b] : 39 (35 non-degenerate)
2     [ E3b] : 149 (110 non-degenerate)
2*    [E3*b] : 149 (110 non-degenerate)
2ex   [E3*c] : 0
2*ex  [ E3c] : 0
2P    [  E2] : 76 (62 non-degenerate)
2Pex  [ E1a] : 0
3     [ E5a] : 839 (519 non-degenerate)
4     [  E4] : 154 (78 non-degenerate)
4*    [ E4*] : 154 (78 non-degenerate)
4P    [  E6] : 72 (48 non-degenerate)
5     [ E3a] : 3 (3 non-degenerate)
5*    [E3*a] : 3 (3 non-degenerate)
5P    [ E5b] : 0

E13.1 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {13, 13})
Quotient :: toric
Aut^+ = C13 (small group id <13, 1>)
Aut   = D26 (small group id <26, 1>)
|r| :: 2
Presentation :: [ A, B, A, B, A, B, A, B, A, B, A, B, A, B, A, B, A, B, A, B, A, B, A, B, A, B, S^2, S^-1 * A * S * B, S^-1 * B * S * A, S^-1 * Z * S * Z, Z^13, (Z^-1 * A * B^-1 * A^-1 * B)^13 ]
Map::
	R = (1, 15, 28, 41, 2, 17, 30, 43, 4, 19, 32, 45, 6, 21, 34, 47, 8, 23, 36, 49, 10, 25, 38, 51, 12, 26, 39, 52, 13, 24, 37, 50, 11, 22, 35, 48, 9, 20, 33, 46, 7, 18, 31, 44, 5, 16, 29, 42, 3, 14, 27, 40)
	L = (1, 27)(2, 28)(3, 29)(4, 30)(5, 31)(6, 32)(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)
	local type(s) :: { ( 52^52 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph::
	v = 1 e = 26 f = 1
	degree seq :: [ 52 ]

E13.2 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {13, 13})
Quotient :: toric
Aut^+ = C13 (small group id <13, 1>)
Aut   = D26 (small group id <26, 1>)
|r| :: 2
Presentation :: [ S^2, B^-1 * A, A^-1 * Z^-1, B^-1 * Z^-1, (S * Z)^2, S * A * S * B, B^13, Z^13, Z^6 * A^-7 ]
Map::
	R = (1, 15, 28, 41, 2, 17, 30, 43, 4, 19, 32, 45, 6, 21, 34, 47, 8, 23, 36, 49, 10, 25, 38, 51, 12, 26, 39, 52, 13, 24, 37, 50, 11, 22, 35, 48, 9, 20, 33, 46, 7, 18, 31, 44, 5, 16, 29, 42, 3, 14, 27, 40)
	L = (1, 29)(2, 27)(3, 31)(4, 28)(5, 33)(6, 30)(7, 35)(8, 32)(9, 37)(10, 34)(11, 39)(12, 36)(13, 38)(14, 41)(15, 43)(16, 40)(17, 45)(18, 42)(19, 47)(20, 44)(21, 49)(22, 46)(23, 51)(24, 48)(25, 52)(26, 50)
	local type(s) :: { ( 52^52 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph::
	v = 1 e = 26 f = 1
	degree seq :: [ 52 ]

E13.3 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {13, 13})
Quotient :: toric
Aut^+ = C13 (small group id <13, 1>)
Aut   = D26 (small group id <26, 1>)
|r| :: 2
Presentation :: [ S^2, B^-1 * A, Z^2 * A, S * B * S * A, (S * Z)^2, Z * A^-6, (B * Z)^13 ]
Map::
	R = (1, 15, 28, 41, 2, 18, 31, 44, 5, 19, 32, 45, 6, 22, 35, 48, 9, 23, 36, 49, 10, 26, 39, 52, 13, 24, 37, 50, 11, 25, 38, 51, 12, 20, 33, 46, 7, 21, 34, 47, 8, 16, 29, 42, 3, 17, 30, 43, 4, 14, 27, 40)
	L = (1, 29)(2, 30)(3, 33)(4, 34)(5, 27)(6, 28)(7, 37)(8, 38)(9, 31)(10, 32)(11, 36)(12, 39)(13, 35)(14, 44)(15, 45)(16, 40)(17, 41)(18, 48)(19, 49)(20, 42)(21, 43)(22, 52)(23, 50)(24, 46)(25, 47)(26, 51)
	local type(s) :: { ( 52^52 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph::
	v = 1 e = 26 f = 1
	degree seq :: [ 52 ]

E13.4 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {13, 13})
Quotient :: toric
Aut^+ = C13 (small group id <13, 1>)
Aut   = D26 (small group id <26, 1>)
|r| :: 2
Presentation :: [ S^2, A * B^-1, Z^-1 * A^-1 * Z^-2, S * A * S * B, (S * Z)^2, (A^-1, Z^-1), A^-1 * Z * B^-1 * A^-2, Z^-1 * A * B * A^2 ]
Map::
	R = (1, 15, 28, 41, 2, 19, 32, 45, 6, 18, 31, 44, 5, 21, 34, 47, 8, 25, 38, 51, 12, 24, 37, 50, 11, 22, 35, 48, 9, 26, 39, 52, 13, 23, 36, 49, 10, 16, 29, 42, 3, 20, 33, 46, 7, 17, 30, 43, 4, 14, 27, 40)
	L = (1, 29)(2, 33)(3, 35)(4, 36)(5, 27)(6, 30)(7, 39)(8, 28)(9, 34)(10, 37)(11, 31)(12, 32)(13, 38)(14, 44)(15, 47)(16, 40)(17, 45)(18, 50)(19, 51)(20, 41)(21, 48)(22, 42)(23, 43)(24, 49)(25, 52)(26, 46)
	local type(s) :: { ( 52^52 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph::
	v = 1 e = 26 f = 1
	degree seq :: [ 52 ]

E13.5 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {13, 13})
Quotient :: toric
Aut^+ = C13 (small group id <13, 1>)
Aut   = D26 (small group id <26, 1>)
|r| :: 2
Presentation :: [ S^2, A * B^-1, Z^-1 * A * B * A, S * A * S * B, (S * Z)^2, A^-1 * B^-1 * Z * A^-1, Z^3 * A * Z ]
Map::
	R = (1, 15, 28, 41, 2, 19, 32, 45, 6, 24, 37, 50, 11, 18, 31, 44, 5, 21, 34, 47, 8, 25, 38, 51, 12, 26, 39, 52, 13, 22, 35, 48, 9, 16, 29, 42, 3, 20, 33, 46, 7, 23, 36, 49, 10, 17, 30, 43, 4, 14, 27, 40)
	L = (1, 29)(2, 33)(3, 34)(4, 35)(5, 27)(6, 36)(7, 38)(8, 28)(9, 31)(10, 39)(11, 30)(12, 32)(13, 37)(14, 44)(15, 47)(16, 40)(17, 50)(18, 48)(19, 51)(20, 41)(21, 42)(22, 43)(23, 45)(24, 52)(25, 46)(26, 49)
	local type(s) :: { ( 52^52 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph::
	v = 1 e = 26 f = 1
	degree seq :: [ 52 ]

E13.6 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {13, 13})
Quotient :: toric
Aut^+ = C13 (small group id <13, 1>)
Aut   = D26 (small group id <26, 1>)
|r| :: 2
Presentation :: [ S^2, A * B^-1, (Z, A^-1), S * B * S * A, (S * Z)^2, A^3 * Z^2, A^3 * Z^2, Z^3 * A^-2, Z * A * B * Z * A ]
Map::
	R = (1, 15, 28, 41, 2, 19, 32, 45, 6, 22, 35, 48, 9, 25, 38, 51, 12, 18, 31, 44, 5, 21, 34, 47, 8, 23, 36, 49, 10, 16, 29, 42, 3, 20, 33, 46, 7, 26, 39, 52, 13, 24, 37, 50, 11, 17, 30, 43, 4, 14, 27, 40)
	L = (1, 29)(2, 33)(3, 35)(4, 36)(5, 27)(6, 39)(7, 38)(8, 28)(9, 37)(10, 32)(11, 34)(12, 30)(13, 31)(14, 44)(15, 47)(16, 40)(17, 51)(18, 52)(19, 49)(20, 41)(21, 50)(22, 42)(23, 43)(24, 48)(25, 46)(26, 45)
	local type(s) :: { ( 52^52 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph::
	v = 1 e = 26 f = 1
	degree seq :: [ 52 ]

E13.7 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {7, 7})
Quotient :: toric
Aut^+ = C14 (small group id <14, 2>)
Aut   = D28 (small group id <28, 3>)
|r| :: 2
Presentation :: [ S^2, A^2, B^-1 * A, (S * Z)^2, A * Z * A * Z^-1, S * B * S * A, Z^7 ]
Map::
	R = (1, 16, 30, 44, 2, 19, 33, 47, 5, 23, 37, 51, 9, 26, 40, 54, 12, 22, 36, 50, 8, 18, 32, 46, 4, 15, 29, 43)(3, 20, 34, 48, 6, 24, 38, 52, 10, 27, 41, 55, 13, 28, 42, 56, 14, 25, 39, 53, 11, 21, 35, 49, 7, 17, 31, 45)
	L = (1, 31)(2, 34)(3, 29)(4, 35)(5, 38)(6, 30)(7, 32)(8, 39)(9, 41)(10, 33)(11, 36)(12, 42)(13, 37)(14, 40)(15, 45)(16, 48)(17, 43)(18, 49)(19, 52)(20, 44)(21, 46)(22, 53)(23, 55)(24, 47)(25, 50)(26, 56)(27, 51)(28, 54)
	local type(s) :: { ( 28^28 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph:: bipartite
	v = 2 e = 28 f = 2
	degree seq :: [ 28^2 ]

E13.8 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {7, 7})
Quotient :: toric
Aut^+ = C14 (small group id <14, 2>)
Aut   = D28 (small group id <28, 3>)
|r| :: 2
Presentation :: [ S^2, B^-1 * A, Z^-1 * B^-1 * Z * A, Z^-2 * A^-2, S * A * S * B, (A^-1 * Z^-1)^2, (S * Z)^2, A^6 * Z^-1 ]
Map::
	R = (1, 16, 30, 44, 2, 20, 34, 48, 6, 25, 39, 53, 11, 28, 42, 56, 14, 23, 37, 51, 9, 18, 32, 46, 4, 15, 29, 43)(3, 21, 35, 49, 7, 19, 33, 47, 5, 22, 36, 50, 8, 26, 40, 54, 12, 27, 41, 55, 13, 24, 38, 52, 10, 17, 31, 45)
	L = (1, 31)(2, 35)(3, 37)(4, 38)(5, 29)(6, 33)(7, 32)(8, 30)(9, 41)(10, 42)(11, 36)(12, 34)(13, 39)(14, 40)(15, 47)(16, 50)(17, 43)(18, 49)(19, 48)(20, 54)(21, 44)(22, 53)(23, 45)(24, 46)(25, 55)(26, 56)(27, 51)(28, 52)
	local type(s) :: { ( 28^28 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph:: bipartite
	v = 2 e = 28 f = 2
	degree seq :: [ 28^2 ]

E13.9 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {7, 7})
Quotient :: toric
Aut^+ = C14 (small group id <14, 2>)
Aut   = D28 (small group id <28, 3>)
|r| :: 2
Presentation :: [ S^2, B^-1 * A, Z * A^2, S * A * S * B, (S * Z)^2, Z^7, (B * A)^7 ]
Map::
	R = (1, 16, 30, 44, 2, 20, 34, 48, 6, 24, 38, 52, 10, 27, 41, 55, 13, 23, 37, 51, 9, 18, 32, 46, 4, 15, 29, 43)(3, 19, 33, 47, 5, 21, 35, 49, 7, 25, 39, 53, 11, 28, 42, 56, 14, 26, 40, 54, 12, 22, 36, 50, 8, 17, 31, 45)
	L = (1, 31)(2, 33)(3, 32)(4, 36)(5, 29)(6, 35)(7, 30)(8, 37)(9, 40)(10, 39)(11, 34)(12, 41)(13, 42)(14, 38)(15, 47)(16, 49)(17, 43)(18, 45)(19, 44)(20, 53)(21, 48)(22, 46)(23, 50)(24, 56)(25, 52)(26, 51)(27, 54)(28, 55)
	local type(s) :: { ( 28^28 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph:: bipartite
	v = 2 e = 28 f = 2
	degree seq :: [ 28^2 ]

E13.10 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {5, 5})
Quotient :: toric
Aut^+ = C15 (small group id <15, 1>)
Aut   = C3 x D10 (small group id <30, 2>)
|r| :: 2
Presentation :: [ S^2, B^-1 * A^-1, A * B^-2, (S * Z)^2, Z^-1 * A * Z * B, S * A * S * B, Z^-1 * B^-1 * Z * A^-1, Z^5 ]
Map:: non-degenerate
	R = (1, 17, 32, 47, 2, 21, 36, 51, 6, 26, 41, 56, 11, 20, 35, 50, 5, 16, 31, 46)(3, 22, 37, 52, 7, 27, 42, 57, 12, 29, 44, 59, 14, 24, 39, 54, 9, 18, 33, 48)(4, 23, 38, 53, 8, 28, 43, 58, 13, 30, 45, 60, 15, 25, 40, 55, 10, 19, 34, 49)
	L = (1, 33)(2, 37)(3, 34)(4, 31)(5, 39)(6, 42)(7, 38)(8, 32)(9, 40)(10, 35)(11, 44)(12, 43)(13, 36)(14, 45)(15, 41)(16, 48)(17, 52)(18, 49)(19, 46)(20, 54)(21, 57)(22, 53)(23, 47)(24, 55)(25, 50)(26, 59)(27, 58)(28, 51)(29, 60)(30, 56)
	local type(s) :: { ( 20^20 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph::
	v = 3 e = 30 f = 3
	degree seq :: [ 20^3 ]

E13.11 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {5, 5})
Quotient :: toric
Aut^+ = C15 (small group id <15, 1>)
Aut   = C3 x D10 (small group id <30, 2>)
|r| :: 2
Presentation :: [ S^2, B * Z * B * A^-1, B^2 * A^-1 * Z, A^-1 * Z^-1 * B^-1 * Z^-1, Z^-1 * A^-2 * B, B * A^-2 * Z^-1, (A^-1, Z^-1), S * A * S * B, Z^-1 * A^-1 * B^-1 * Z^-1, (S * Z)^2, A * Z^-2 * B * Z^-1, A^-1 * B^-2 * Z * A^-1 ]
Map:: non-degenerate
	R = (1, 17, 32, 47, 2, 23, 38, 53, 8, 29, 44, 59, 14, 20, 35, 50, 5, 16, 31, 46)(3, 24, 39, 54, 9, 22, 37, 52, 7, 27, 42, 57, 12, 30, 45, 60, 15, 18, 33, 48)(4, 25, 40, 55, 10, 21, 36, 51, 6, 26, 41, 56, 11, 28, 43, 58, 13, 19, 34, 49)
	L = (1, 33)(2, 39)(3, 43)(4, 44)(5, 45)(6, 31)(7, 40)(8, 37)(9, 34)(10, 35)(11, 32)(12, 36)(13, 38)(14, 42)(15, 41)(16, 52)(17, 57)(18, 55)(19, 46)(20, 54)(21, 53)(22, 56)(23, 60)(24, 51)(25, 47)(26, 59)(27, 58)(28, 50)(29, 48)(30, 49)
	local type(s) :: { ( 20^20 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph::
	v = 3 e = 30 f = 3
	degree seq :: [ 20^3 ]

E13.12 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {5, 5})
Quotient :: toric
Aut^+ = C15 (small group id <15, 1>)
Aut   = D30 (small group id <30, 3>)
|r| :: 2
Presentation :: [ S^2, A^-1 * B, A * B * A, A * Z^-1 * B^-1 * Z, S * A * S * B, (S * Z)^2, Z^5 ]
Map::
	R = (1, 17, 32, 47, 2, 21, 36, 51, 6, 25, 40, 55, 10, 19, 34, 49, 4, 16, 31, 46)(3, 22, 37, 52, 7, 27, 42, 57, 12, 29, 44, 59, 14, 24, 39, 54, 9, 18, 33, 48)(5, 23, 38, 53, 8, 28, 43, 58, 13, 30, 45, 60, 15, 26, 41, 56, 11, 20, 35, 50)
	L = (1, 33)(2, 37)(3, 35)(4, 39)(5, 31)(6, 42)(7, 38)(8, 32)(9, 41)(10, 44)(11, 34)(12, 43)(13, 36)(14, 45)(15, 40)(16, 50)(17, 53)(18, 46)(19, 56)(20, 48)(21, 58)(22, 47)(23, 52)(24, 49)(25, 60)(26, 54)(27, 51)(28, 57)(29, 55)(30, 59)
	local type(s) :: { ( 20^20 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph::
	v = 3 e = 30 f = 3
	degree seq :: [ 20^3 ]

E13.13 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {5, 5})
Quotient :: toric
Aut^+ = C15 (small group id <15, 1>)
Aut   = D30 (small group id <30, 3>)
|r| :: 2
Presentation :: [ S^2, B^-1 * A, S * B * S * A, (S * Z)^2, (Z, A^-1), Z^2 * A^-3, Z^5 ]
Map::
	R = (1, 17, 32, 47, 2, 21, 36, 51, 6, 26, 41, 56, 11, 19, 34, 49, 4, 16, 31, 46)(3, 22, 37, 52, 7, 29, 44, 59, 14, 28, 43, 58, 13, 25, 40, 55, 10, 18, 33, 48)(5, 23, 38, 53, 8, 24, 39, 54, 9, 30, 45, 60, 15, 27, 42, 57, 12, 20, 35, 50)
	L = (1, 33)(2, 37)(3, 39)(4, 40)(5, 31)(6, 44)(7, 45)(8, 32)(9, 36)(10, 38)(11, 43)(12, 34)(13, 35)(14, 42)(15, 41)(16, 50)(17, 53)(18, 46)(19, 57)(20, 58)(21, 54)(22, 47)(23, 55)(24, 48)(25, 49)(26, 60)(27, 59)(28, 56)(29, 51)(30, 52)
	local type(s) :: { ( 20^20 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph::
	v = 3 e = 30 f = 3
	degree seq :: [ 20^3 ]

E13.14 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {4, 4})
Quotient :: toric
Aut^+ = C16 (small group id <16, 1>)
Aut   = D32 (small group id <32, 18>)
|r| :: 2
Presentation :: [ S^2, B * A^-1, A * B^-1, (S * Z)^2, Z^4, S * A * S * B, (Z, A^-1), A * Z * B * A^2 ]
Map::
	R = (1, 18, 34, 50, 2, 22, 38, 54, 6, 20, 36, 52, 4, 17, 33, 49)(3, 23, 39, 55, 7, 29, 45, 61, 13, 26, 42, 58, 10, 19, 35, 51)(5, 24, 40, 56, 8, 30, 46, 62, 14, 27, 43, 59, 11, 21, 37, 53)(9, 28, 44, 60, 12, 31, 47, 63, 15, 32, 48, 64, 16, 25, 41, 57)
	L = (1, 35)(2, 39)(3, 41)(4, 42)(5, 33)(6, 45)(7, 44)(8, 34)(9, 43)(10, 48)(11, 36)(12, 37)(13, 47)(14, 38)(15, 40)(16, 46)(17, 53)(18, 56)(19, 49)(20, 59)(21, 60)(22, 62)(23, 50)(24, 63)(25, 51)(26, 52)(27, 57)(28, 55)(29, 54)(30, 64)(31, 61)(32, 58)
	local type(s) :: { ( 16^16 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph:: bipartite
	v = 4 e = 32 f = 4
	degree seq :: [ 16^4 ]

E13.15 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {4, 4})
Quotient :: toric
Aut^+ = C16 (small group id <16, 1>)
Aut   = QD32 (small group id <32, 19>)
|r| :: 2
Presentation :: [ S^2, (Z, B), (B, A^-1), (A^-1 * B)^2, Z^-1 * B * A^-1 * Z^-1, B^-1 * A * Z^2, A * Z^-1 * B^-1 * Z^-1, Z^-1 * B^-1 * A * Z^-1, Z^-1 * B * Z^-1 * A^-1, (S * Z)^2, S * B * S * A, B * Z^-1 * A^3, B * Z * A * B * A ]
Map:: non-degenerate
	R = (1, 18, 34, 50, 2, 24, 40, 56, 8, 21, 37, 53, 5, 17, 33, 49)(3, 25, 41, 57, 9, 20, 36, 52, 4, 26, 42, 58, 10, 19, 35, 51)(6, 27, 43, 59, 11, 23, 39, 55, 7, 28, 44, 60, 12, 22, 38, 54)(13, 31, 47, 63, 15, 30, 46, 62, 14, 32, 48, 64, 16, 29, 45, 61)
	L = (1, 35)(2, 41)(3, 45)(4, 46)(5, 42)(6, 33)(7, 40)(8, 36)(9, 47)(10, 48)(11, 34)(12, 37)(13, 44)(14, 43)(15, 38)(16, 39)(17, 55)(18, 60)(19, 56)(20, 49)(21, 59)(22, 64)(23, 63)(24, 54)(25, 53)(26, 50)(27, 61)(28, 62)(29, 52)(30, 51)(31, 58)(32, 57)
	local type(s) :: { ( 16^16 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph:: bipartite
	v = 4 e = 32 f = 4
	degree seq :: [ 16^4 ]

E13.16 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {4, 4})
Quotient :: toric
Aut^+ = C4 x C4 (small group id <16, 2>)
Aut   = C4 x D8 (small group id <32, 25>)
|r| :: 2
Presentation :: [ S^2, B * A, Z^-1 * A^-1 * Z * B^-1, Z^4, (S * Z)^2, S * B * S * A, Z^-1 * B^-1 * Z * A^-1, B^2 * A^-2, B^2 * Z * A^-2 * Z^-1 ]
Map:: non-degenerate
	R = (1, 18, 34, 50, 2, 22, 38, 54, 6, 21, 37, 53, 5, 17, 33, 49)(3, 23, 39, 55, 7, 28, 44, 60, 12, 26, 42, 58, 10, 19, 35, 51)(4, 24, 40, 56, 8, 29, 45, 61, 13, 27, 43, 59, 11, 20, 36, 52)(9, 30, 46, 62, 14, 32, 48, 64, 16, 31, 47, 63, 15, 25, 41, 57)
	L = (1, 35)(2, 39)(3, 41)(4, 33)(5, 42)(6, 44)(7, 46)(8, 34)(9, 36)(10, 47)(11, 37)(12, 48)(13, 38)(14, 40)(15, 43)(16, 45)(17, 51)(18, 55)(19, 57)(20, 49)(21, 58)(22, 60)(23, 62)(24, 50)(25, 52)(26, 63)(27, 53)(28, 64)(29, 54)(30, 56)(31, 59)(32, 61)
	local type(s) :: { ( 16^16 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph:: bipartite
	v = 4 e = 32 f = 4
	degree seq :: [ 16^4 ]

E13.17 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {4, 4})
Quotient :: toric
Aut^+ = (C4 x C2) : C2 (small group id <16, 3>)
Aut   = (C2 x C2 x C2 x C2) : C2 (small group id <32, 27>)
|r| :: 2
Presentation :: [ S^2, A^2, B^-1 * A, S * A * S * B, (S * Z)^2, Z^4, (Z * A * Z)^2, (A * Z^-1)^4 ]
Map::
	R = (1, 18, 34, 50, 2, 21, 37, 53, 5, 20, 36, 52, 4, 17, 33, 49)(3, 23, 39, 55, 7, 26, 42, 58, 10, 24, 40, 56, 8, 19, 35, 51)(6, 27, 43, 59, 11, 25, 41, 57, 9, 28, 44, 60, 12, 22, 38, 54)(13, 31, 47, 63, 15, 30, 46, 62, 14, 32, 48, 64, 16, 29, 45, 61)
	L = (1, 35)(2, 38)(3, 33)(4, 41)(5, 42)(6, 34)(7, 45)(8, 46)(9, 36)(10, 37)(11, 47)(12, 48)(13, 39)(14, 40)(15, 43)(16, 44)(17, 51)(18, 54)(19, 49)(20, 57)(21, 58)(22, 50)(23, 61)(24, 62)(25, 52)(26, 53)(27, 63)(28, 64)(29, 55)(30, 56)(31, 59)(32, 60)
	local type(s) :: { ( 16^16 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph:: bipartite
	v = 4 e = 32 f = 4
	degree seq :: [ 16^4 ]

E13.18 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {4, 4})
Quotient :: toric
Aut^+ = (C4 x C2) : C2 (small group id <16, 3>)
Aut   = (C2 x C2 x C2 x C2) : C2 (small group id <32, 27>)
|r| :: 2
Presentation :: [ S^2, (B * Z)^2, (B^-1 * A)^2, Z^2 * B^-1 * A^-1, A * Z * B^-1 * Z^-1, (A^-1 * Z^-1)^2, B^4, B * Z * A^-1 * Z^-1, (A * Z^-1)^2, (S * Z)^2, S * B * S * A, Z^-1 * B * A * Z^-1, B^2 * A^-2, Z^4 ]
Map:: non-degenerate
	R = (1, 18, 34, 50, 2, 24, 40, 56, 8, 21, 37, 53, 5, 17, 33, 49)(3, 26, 42, 58, 10, 23, 39, 55, 7, 27, 43, 59, 11, 19, 35, 51)(4, 25, 41, 57, 9, 22, 38, 54, 6, 28, 44, 60, 12, 20, 36, 52)(13, 31, 47, 63, 15, 30, 46, 62, 14, 32, 48, 64, 16, 29, 45, 61)
	L = (1, 35)(2, 41)(3, 45)(4, 40)(5, 44)(6, 33)(7, 46)(8, 39)(9, 47)(10, 37)(11, 34)(12, 48)(13, 38)(14, 36)(15, 43)(16, 42)(17, 55)(18, 60)(19, 62)(20, 49)(21, 57)(22, 56)(23, 61)(24, 51)(25, 64)(26, 50)(27, 53)(28, 63)(29, 52)(30, 54)(31, 58)(32, 59)
	local type(s) :: { ( 16^16 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph:: bipartite
	v = 4 e = 32 f = 4
	degree seq :: [ 16^4 ]

E13.19 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {4, 4})
Quotient :: toric
Aut^+ = C4 x C2 x C2 (small group id <16, 10>)
Aut   = (C4 x C2 x C2) : C2 (small group id <32, 28>)
|r| :: 2
Presentation :: [ A^2, B^2, S^2, (B * A)^2, S * A * S * B, (S * Z)^2, B * Z * B * Z^-1, Z^-1 * A * Z * A, Z^4 ]
Map:: non-degenerate
	R = (1, 18, 34, 50, 2, 22, 38, 54, 6, 21, 37, 53, 5, 17, 33, 49)(3, 23, 39, 55, 7, 28, 44, 60, 12, 26, 42, 58, 10, 19, 35, 51)(4, 24, 40, 56, 8, 29, 45, 61, 13, 27, 43, 59, 11, 20, 36, 52)(9, 30, 46, 62, 14, 32, 48, 64, 16, 31, 47, 63, 15, 25, 41, 57)
	L = (1, 35)(2, 39)(3, 33)(4, 41)(5, 42)(6, 44)(7, 34)(8, 46)(9, 36)(10, 37)(11, 47)(12, 38)(13, 48)(14, 40)(15, 43)(16, 45)(17, 52)(18, 56)(19, 57)(20, 49)(21, 59)(22, 61)(23, 62)(24, 50)(25, 51)(26, 63)(27, 53)(28, 64)(29, 54)(30, 55)(31, 58)(32, 60)
	local type(s) :: { ( 16^16 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph:: bipartite
	v = 4 e = 32 f = 4
	degree seq :: [ 16^4 ]

E13.20 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {4, 4})
Quotient :: toric
Aut^+ = (C4 x C2) : C2 (small group id <16, 3>)
Aut   = (C4 x C2 x C2) : C2 (small group id <32, 28>)
|r| :: 2
Presentation :: [ A^2, B^2, S^2, Z^-1 * B * A * Z^-1, B * A * Z^2, (A * B)^2, (S * Z)^2, S * A * S * B, B * Z^-1 * B * Z^-1 * A * Z^-1 * A * Z^-1 ]
Map:: non-degenerate
	R = (1, 18, 34, 50, 2, 22, 38, 54, 6, 21, 37, 53, 5, 17, 33, 49)(3, 25, 41, 57, 9, 20, 36, 52, 4, 26, 42, 58, 10, 19, 35, 51)(7, 27, 43, 59, 11, 24, 40, 56, 8, 28, 44, 60, 12, 23, 39, 55)(13, 31, 47, 63, 15, 30, 46, 62, 14, 32, 48, 64, 16, 29, 45, 61)
	L = (1, 35)(2, 39)(3, 33)(4, 38)(5, 40)(6, 36)(7, 34)(8, 37)(9, 45)(10, 46)(11, 47)(12, 48)(13, 41)(14, 42)(15, 43)(16, 44)(17, 52)(18, 56)(19, 54)(20, 49)(21, 55)(22, 51)(23, 53)(24, 50)(25, 62)(26, 61)(27, 64)(28, 63)(29, 58)(30, 57)(31, 60)(32, 59)
	local type(s) :: { ( 16^16 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph:: bipartite
	v = 4 e = 32 f = 4
	degree seq :: [ 16^4 ]

E13.21 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {4, 4})
Quotient :: toric
Aut^+ = C4 : C4 (small group id <16, 4>)
Aut   = (C4 x C2 x C2) : C2 (small group id <32, 28>)
|r| :: 2
Presentation :: [ S^2, B * A, Z^4, Z^-1 * B^-1 * Z * B^-1, S * B * S * A, (S * Z)^2, B^2 * A^-2, Z^-1 * A^-1 * Z * A^-1, B^2 * Z * A^-2 * Z^-1 ]
Map:: non-degenerate
	R = (1, 18, 34, 50, 2, 22, 38, 54, 6, 21, 37, 53, 5, 17, 33, 49)(3, 24, 40, 56, 8, 28, 44, 60, 12, 26, 42, 58, 10, 19, 35, 51)(4, 23, 39, 55, 7, 29, 45, 61, 13, 27, 43, 59, 11, 20, 36, 52)(9, 30, 46, 62, 14, 32, 48, 64, 16, 31, 47, 63, 15, 25, 41, 57)
	L = (1, 35)(2, 39)(3, 41)(4, 33)(5, 43)(6, 44)(7, 46)(8, 34)(9, 36)(10, 37)(11, 47)(12, 48)(13, 38)(14, 40)(15, 42)(16, 45)(17, 51)(18, 55)(19, 57)(20, 49)(21, 59)(22, 60)(23, 62)(24, 50)(25, 52)(26, 53)(27, 63)(28, 64)(29, 54)(30, 56)(31, 58)(32, 61)
	local type(s) :: { ( 16^16 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph:: bipartite
	v = 4 e = 32 f = 4
	degree seq :: [ 16^4 ]

E13.22 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {4, 4})
Quotient :: toric
Aut^+ = (C4 x C2) : C2 (small group id <16, 3>)
Aut   = (C4 x C2 x C2) : C2 (small group id <32, 28>)
|r| :: 2
Presentation :: [ S^2, A^-1 * B^-1, (S * Z)^2, Z^4, S * A * S * B, A * Z^-1 * B^-1 * Z^-1, B * Z^-1 * A^-1 * Z^-1, B^2 * A^-2 ]
Map:: non-degenerate
	R = (1, 18, 34, 50, 2, 22, 38, 54, 6, 21, 37, 53, 5, 17, 33, 49)(3, 25, 41, 57, 9, 28, 44, 60, 12, 24, 40, 56, 8, 19, 35, 51)(4, 27, 43, 59, 11, 29, 45, 61, 13, 23, 39, 55, 7, 20, 36, 52)(10, 30, 46, 62, 14, 32, 48, 64, 16, 31, 47, 63, 15, 26, 42, 58)
	L = (1, 35)(2, 39)(3, 42)(4, 33)(5, 43)(6, 44)(7, 46)(8, 34)(9, 37)(10, 36)(11, 47)(12, 48)(13, 38)(14, 40)(15, 41)(16, 45)(17, 51)(18, 55)(19, 58)(20, 49)(21, 59)(22, 60)(23, 62)(24, 50)(25, 53)(26, 52)(27, 63)(28, 64)(29, 54)(30, 56)(31, 57)(32, 61)
	local type(s) :: { ( 16^16 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph:: bipartite
	v = 4 e = 32 f = 4
	degree seq :: [ 16^4 ]

E13.23 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {4, 4})
Quotient :: toric
Aut^+ = C4 : C4 (small group id <16, 4>)
Aut   = (C4 x C2 x C2) : C2 (small group id <32, 28>)
|r| :: 2
Presentation :: [ S^2, B * A^-1, Z^4, A^4, (S * Z)^2, S * A * S * B, Z^-1 * A^2 * Z^-1, A * Z * A * Z^-1 * A * Z^-1 * A^-1 * Z^-1 ]
Map::
	R = (1, 18, 34, 50, 2, 22, 38, 54, 6, 20, 36, 52, 4, 17, 33, 49)(3, 25, 41, 57, 9, 21, 37, 53, 5, 26, 42, 58, 10, 19, 35, 51)(7, 27, 43, 59, 11, 24, 40, 56, 8, 28, 44, 60, 12, 23, 39, 55)(13, 31, 47, 63, 15, 30, 46, 62, 14, 32, 48, 64, 16, 29, 45, 61)
	L = (1, 35)(2, 39)(3, 38)(4, 40)(5, 33)(6, 37)(7, 36)(8, 34)(9, 45)(10, 46)(11, 47)(12, 48)(13, 42)(14, 41)(15, 44)(16, 43)(17, 53)(18, 56)(19, 49)(20, 55)(21, 54)(22, 51)(23, 50)(24, 52)(25, 62)(26, 61)(27, 64)(28, 63)(29, 57)(30, 58)(31, 59)(32, 60)
	local type(s) :: { ( 16^16 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph:: bipartite
	v = 4 e = 32 f = 4
	degree seq :: [ 16^4 ]

E13.24 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {4, 4})
Quotient :: toric
Aut^+ = C4 : C4 (small group id <16, 4>)
Aut   = (C4 x C2 x C2) : C2 (small group id <32, 30>)
|r| :: 2
Presentation :: [ S^2, B^-1 * A^-1, A * B, B^-2 * A * B^-1, B^2 * Z^-2, (S * Z)^2, S * B * S * A, A * Z * A * Z * A^-1 * Z^-1 * A^-1 * Z^-1 ]
Map:: non-degenerate
	R = (1, 18, 34, 50, 2, 22, 38, 54, 6, 21, 37, 53, 5, 17, 33, 49)(3, 25, 41, 57, 9, 20, 36, 52, 4, 26, 42, 58, 10, 19, 35, 51)(7, 27, 43, 59, 11, 24, 40, 56, 8, 28, 44, 60, 12, 23, 39, 55)(13, 31, 47, 63, 15, 30, 46, 62, 14, 32, 48, 64, 16, 29, 45, 61)
	L = (1, 35)(2, 39)(3, 38)(4, 33)(5, 40)(6, 36)(7, 37)(8, 34)(9, 45)(10, 46)(11, 47)(12, 48)(13, 42)(14, 41)(15, 44)(16, 43)(17, 51)(18, 55)(19, 54)(20, 49)(21, 56)(22, 52)(23, 53)(24, 50)(25, 61)(26, 62)(27, 63)(28, 64)(29, 58)(30, 57)(31, 60)(32, 59)
	local type(s) :: { ( 16^16 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph:: bipartite
	v = 4 e = 32 f = 4
	degree seq :: [ 16^4 ]

E13.25 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {4, 4})
Quotient :: toric
Aut^+ = C4 : C4 (small group id <16, 4>)
Aut   = (C4 x C2 x C2) : C2 (small group id <32, 30>)
|r| :: 2
Presentation :: [ S^2, A^-1 * Z * A^-1 * Z^-1, (B^-1 * A)^2, A * Z^2 * B, B^-1 * Z^-1 * A * Z^-1, B * Z^-1 * A^-1 * Z^-1, B^4, B^2 * A^-2, Z^-1 * B^-1 * A^-1 * Z^-1, B * Z * B * Z^-1, S * B * S * A, Z^4, (S * Z)^2 ]
Map:: non-degenerate
	R = (1, 18, 34, 50, 2, 24, 40, 56, 8, 21, 37, 53, 5, 17, 33, 49)(3, 27, 43, 59, 11, 23, 39, 55, 7, 26, 42, 58, 10, 19, 35, 51)(4, 28, 44, 60, 12, 22, 38, 54, 6, 25, 41, 57, 9, 20, 36, 52)(13, 31, 47, 63, 15, 30, 46, 62, 14, 32, 48, 64, 16, 29, 45, 61)
	L = (1, 35)(2, 41)(3, 45)(4, 40)(5, 44)(6, 33)(7, 46)(8, 39)(9, 47)(10, 37)(11, 34)(12, 48)(13, 38)(14, 36)(15, 43)(16, 42)(17, 55)(18, 60)(19, 62)(20, 49)(21, 57)(22, 56)(23, 61)(24, 51)(25, 64)(26, 50)(27, 53)(28, 63)(29, 52)(30, 54)(31, 58)(32, 59)
	local type(s) :: { ( 16^16 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph:: bipartite
	v = 4 e = 32 f = 4
	degree seq :: [ 16^4 ]

E13.26 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {4, 4})
Quotient :: toric
Aut^+ = C8 x C2 (small group id <16, 5>)
Aut   = (C8 x C2) : C2 (small group id <32, 38>)
|r| :: 2
Presentation :: [ S^2, A^-1 * B^-1, A^-1 * Z^-1 * B^-1 * Z, S * B * S * A, A * Z * B * Z^-1, Z^4, (S * Z)^2, A^3 * Z^-1 * A * Z^-1, Z^-1 * A^-1 * B * A^-2 * Z^-1, B^3 * A^-1 * Z^2 ]
Map:: non-degenerate
	R = (1, 18, 34, 50, 2, 22, 38, 54, 6, 21, 37, 53, 5, 17, 33, 49)(3, 23, 39, 55, 7, 29, 45, 61, 13, 26, 42, 58, 10, 19, 35, 51)(4, 24, 40, 56, 8, 30, 46, 62, 14, 28, 44, 60, 12, 20, 36, 52)(9, 31, 47, 63, 15, 27, 43, 59, 11, 32, 48, 64, 16, 25, 41, 57)
	L = (1, 35)(2, 39)(3, 41)(4, 33)(5, 42)(6, 45)(7, 47)(8, 34)(9, 46)(10, 48)(11, 36)(12, 37)(13, 43)(14, 38)(15, 44)(16, 40)(17, 51)(18, 55)(19, 57)(20, 49)(21, 58)(22, 61)(23, 63)(24, 50)(25, 62)(26, 64)(27, 52)(28, 53)(29, 59)(30, 54)(31, 60)(32, 56)
	local type(s) :: { ( 16^16 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph:: bipartite
	v = 4 e = 32 f = 4
	degree seq :: [ 16^4 ]

E13.27 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {4, 4})
Quotient :: toric
Aut^+ = QD16 (small group id <16, 8>)
Aut   = (C8 x C2) : C2 (small group id <32, 42>)
|r| :: 2
Presentation :: [ A^2, B^2, S^2, Z^-1 * B * A * Z^-1, B * A * Z^2, (A * B)^2, (S * Z)^2, S * A * S * B, B * Z^-1 * B * Z^-1 * B * Z^-1 * A * Z^-1 ]
Map:: non-degenerate
	R = (1, 18, 34, 50, 2, 22, 38, 54, 6, 21, 37, 53, 5, 17, 33, 49)(3, 25, 41, 57, 9, 20, 36, 52, 4, 26, 42, 58, 10, 19, 35, 51)(7, 27, 43, 59, 11, 24, 40, 56, 8, 28, 44, 60, 12, 23, 39, 55)(13, 32, 48, 64, 16, 30, 46, 62, 14, 31, 47, 63, 15, 29, 45, 61)
	L = (1, 35)(2, 39)(3, 33)(4, 38)(5, 40)(6, 36)(7, 34)(8, 37)(9, 45)(10, 46)(11, 47)(12, 48)(13, 41)(14, 42)(15, 43)(16, 44)(17, 52)(18, 56)(19, 54)(20, 49)(21, 55)(22, 51)(23, 53)(24, 50)(25, 62)(26, 61)(27, 64)(28, 63)(29, 58)(30, 57)(31, 60)(32, 59)
	local type(s) :: { ( 16^16 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph:: bipartite
	v = 4 e = 32 f = 4
	degree seq :: [ 16^4 ]

E13.28 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {4, 4})
Quotient :: toric
Aut^+ = Q16 (small group id <16, 9>)
Aut   = (C8 x C2) : C2 (small group id <32, 42>)
|r| :: 2
Presentation :: [ S^2, B * A^-1, A^4, Z^4, (S * Z)^2, S * A * S * B, A^-1 * Z^-2 * A^-1, A^-1 * Z^-1 * A * Z * A * Z^-1 * A^-1 * Z^-1 ]
Map::
	R = (1, 18, 34, 50, 2, 22, 38, 54, 6, 20, 36, 52, 4, 17, 33, 49)(3, 25, 41, 57, 9, 21, 37, 53, 5, 26, 42, 58, 10, 19, 35, 51)(7, 27, 43, 59, 11, 24, 40, 56, 8, 28, 44, 60, 12, 23, 39, 55)(13, 32, 48, 64, 16, 30, 46, 62, 14, 31, 47, 63, 15, 29, 45, 61)
	L = (1, 35)(2, 39)(3, 38)(4, 40)(5, 33)(6, 37)(7, 36)(8, 34)(9, 45)(10, 46)(11, 47)(12, 48)(13, 42)(14, 41)(15, 44)(16, 43)(17, 53)(18, 56)(19, 49)(20, 55)(21, 54)(22, 51)(23, 50)(24, 52)(25, 62)(26, 61)(27, 64)(28, 63)(29, 57)(30, 58)(31, 59)(32, 60)
	local type(s) :: { ( 16^16 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph:: bipartite
	v = 4 e = 32 f = 4
	degree seq :: [ 16^4 ]

E13.29 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {4, 4})
Quotient :: toric
Aut^+ = Q16 (small group id <16, 9>)
Aut   = (C8 x C2) : C2 (small group id <32, 42>)
|r| :: 2
Presentation :: [ S^2, B^-1 * A^-1, B^-1 * A^-1, S * B * S * A, A * Z * A * Z^-1, Z^4, (S * Z)^2, A^3 * B^-1 * Z^2, A^2 * Z^-1 * B^-2 * Z, A * Z^-1 * B * Z^-1 * A^2 ]
Map:: non-degenerate
	R = (1, 18, 34, 50, 2, 22, 38, 54, 6, 21, 37, 53, 5, 17, 33, 49)(3, 24, 40, 56, 8, 29, 45, 61, 13, 26, 42, 58, 10, 19, 35, 51)(4, 23, 39, 55, 7, 30, 46, 62, 14, 28, 44, 60, 12, 20, 36, 52)(9, 32, 48, 64, 16, 27, 43, 59, 11, 31, 47, 63, 15, 25, 41, 57)
	L = (1, 35)(2, 39)(3, 41)(4, 33)(5, 44)(6, 45)(7, 47)(8, 34)(9, 46)(10, 37)(11, 36)(12, 48)(13, 43)(14, 38)(15, 42)(16, 40)(17, 51)(18, 55)(19, 57)(20, 49)(21, 60)(22, 61)(23, 63)(24, 50)(25, 62)(26, 53)(27, 52)(28, 64)(29, 59)(30, 54)(31, 58)(32, 56)
	local type(s) :: { ( 16^16 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph:: bipartite
	v = 4 e = 32 f = 4
	degree seq :: [ 16^4 ]

E13.30 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {4, 4})
Quotient :: toric
Aut^+ = QD16 (small group id <16, 8>)
Aut   = (C8 x C2) : C2 (small group id <32, 42>)
|r| :: 2
Presentation :: [ S^2, B * A, B * Z * A^-1 * Z, S * B * S * A, (A^-1 * Z^-1)^2, Z^4, (S * Z)^2, B^3 * Z * A * Z^-1, Z^-1 * A^-4 * Z^-1 ]
Map:: non-degenerate
	R = (1, 18, 34, 50, 2, 22, 38, 54, 6, 21, 37, 53, 5, 17, 33, 49)(3, 25, 41, 57, 9, 29, 45, 61, 13, 24, 40, 56, 8, 19, 35, 51)(4, 27, 43, 59, 11, 30, 46, 62, 14, 23, 39, 55, 7, 20, 36, 52)(10, 32, 48, 64, 16, 28, 44, 60, 12, 31, 47, 63, 15, 26, 42, 58)
	L = (1, 35)(2, 39)(3, 42)(4, 33)(5, 43)(6, 45)(7, 47)(8, 34)(9, 37)(10, 46)(11, 48)(12, 36)(13, 44)(14, 38)(15, 41)(16, 40)(17, 51)(18, 55)(19, 58)(20, 49)(21, 59)(22, 61)(23, 63)(24, 50)(25, 53)(26, 62)(27, 64)(28, 52)(29, 60)(30, 54)(31, 57)(32, 56)
	local type(s) :: { ( 16^16 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph:: bipartite
	v = 4 e = 32 f = 4
	degree seq :: [ 16^4 ]

E13.31 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {4, 4})
Quotient :: toric
Aut^+ = (C4 x C2) : C2 (small group id <16, 13>)
Aut   = (C2 x D8) : C2 (small group id <32, 43>)
|r| :: 2
Presentation :: [ A^2, B^2, S^2, A * Z^-1 * A * Z, Z^4, S * A * S * B, B * Z * B * Z^-1, (S * Z)^2, Z^-1 * A * B * A * B * Z^-1 ]
Map:: non-degenerate
	R = (1, 18, 34, 50, 2, 22, 38, 54, 6, 21, 37, 53, 5, 17, 33, 49)(3, 23, 39, 55, 7, 29, 45, 61, 13, 26, 42, 58, 10, 19, 35, 51)(4, 24, 40, 56, 8, 30, 46, 62, 14, 28, 44, 60, 12, 20, 36, 52)(9, 31, 47, 63, 15, 27, 43, 59, 11, 32, 48, 64, 16, 25, 41, 57)
	L = (1, 35)(2, 39)(3, 33)(4, 43)(5, 42)(6, 45)(7, 34)(8, 48)(9, 46)(10, 37)(11, 36)(12, 47)(13, 38)(14, 41)(15, 44)(16, 40)(17, 52)(18, 56)(19, 57)(20, 49)(21, 60)(22, 62)(23, 63)(24, 50)(25, 51)(26, 64)(27, 61)(28, 53)(29, 59)(30, 54)(31, 55)(32, 58)
	local type(s) :: { ( 16^16 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph:: bipartite
	v = 4 e = 32 f = 4
	degree seq :: [ 16^4 ]

E13.32 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {4, 4})
Quotient :: toric
Aut^+ = QD16 (small group id <16, 8>)
Aut   = (C2 x D8) : C2 (small group id <32, 43>)
|r| :: 2
Presentation :: [ S^2, A^2, B^-1 * A, Z^4, S * A * S * B, (S * Z)^2, Z^-1 * A * Z^2 * A * Z^-1, A * Z * A * Z^-1 * A * Z * A * Z ]
Map::
	R = (1, 18, 34, 50, 2, 21, 37, 53, 5, 20, 36, 52, 4, 17, 33, 49)(3, 23, 39, 55, 7, 26, 42, 58, 10, 24, 40, 56, 8, 19, 35, 51)(6, 27, 43, 59, 11, 25, 41, 57, 9, 28, 44, 60, 12, 22, 38, 54)(13, 32, 48, 64, 16, 30, 46, 62, 14, 31, 47, 63, 15, 29, 45, 61)
	L = (1, 35)(2, 38)(3, 33)(4, 41)(5, 42)(6, 34)(7, 45)(8, 46)(9, 36)(10, 37)(11, 47)(12, 48)(13, 39)(14, 40)(15, 43)(16, 44)(17, 51)(18, 54)(19, 49)(20, 57)(21, 58)(22, 50)(23, 61)(24, 62)(25, 52)(26, 53)(27, 63)(28, 64)(29, 55)(30, 56)(31, 59)(32, 60)
	local type(s) :: { ( 16^16 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph:: bipartite
	v = 4 e = 32 f = 4
	degree seq :: [ 16^4 ]

E13.33 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {4, 4})
Quotient :: toric
Aut^+ = QD16 (small group id <16, 8>)
Aut   = (C2 x D8) : C2 (small group id <32, 43>)
|r| :: 2
Presentation :: [ S^2, (B * A)^2, (B^-1 * Z^-1)^2, B^3 * A^-1, B^-1 * A^-1 * Z^-2, B^-2 * A^-2, Z^4, Z^-1 * B * A * Z^-1, (A^-1 * Z^-1)^2, S * B * S * A, A^-2 * B * A^-1, B * Z * A^-1 * Z^-1, (S * Z)^2, Z^-1 * A^-1 * B^-1 * Z^-1, B^-2 * Z * B * A^-1 * Z^-1 ]
Map:: non-degenerate
	R = (1, 18, 34, 50, 2, 24, 40, 56, 8, 21, 37, 53, 5, 17, 33, 49)(3, 26, 42, 58, 10, 23, 39, 55, 7, 27, 43, 59, 11, 19, 35, 51)(4, 25, 41, 57, 9, 22, 38, 54, 6, 28, 44, 60, 12, 20, 36, 52)(13, 32, 48, 64, 16, 30, 46, 62, 14, 31, 47, 63, 15, 29, 45, 61)
	L = (1, 35)(2, 41)(3, 45)(4, 40)(5, 44)(6, 33)(7, 46)(8, 39)(9, 47)(10, 37)(11, 34)(12, 48)(13, 36)(14, 38)(15, 42)(16, 43)(17, 55)(18, 60)(19, 62)(20, 49)(21, 57)(22, 56)(23, 61)(24, 51)(25, 64)(26, 50)(27, 53)(28, 63)(29, 54)(30, 52)(31, 59)(32, 58)
	local type(s) :: { ( 16^16 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph:: bipartite
	v = 4 e = 32 f = 4
	degree seq :: [ 16^4 ]

E13.34 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {4, 4})
Quotient :: toric
Aut^+ = Q16 (small group id <16, 9>)
Aut   = (C2 x Q8) : C2 (small group id <32, 44>)
|r| :: 2
Presentation :: [ S^2, A * B, B * A, (B^-1 * A)^2, S * B * S * A, Z^-1 * A^-1 * B * Z^-1, (S * Z)^2, B * Z^-1 * A * Z * B^-1 * Z^-1 * A^-1 * Z^-1 ]
Map:: non-degenerate
	R = (1, 18, 34, 50, 2, 22, 38, 54, 6, 21, 37, 53, 5, 17, 33, 49)(3, 25, 41, 57, 9, 20, 36, 52, 4, 26, 42, 58, 10, 19, 35, 51)(7, 27, 43, 59, 11, 24, 40, 56, 8, 28, 44, 60, 12, 23, 39, 55)(13, 32, 48, 64, 16, 30, 46, 62, 14, 31, 47, 63, 15, 29, 45, 61)
	L = (1, 35)(2, 39)(3, 38)(4, 33)(5, 40)(6, 36)(7, 37)(8, 34)(9, 45)(10, 46)(11, 47)(12, 48)(13, 42)(14, 41)(15, 44)(16, 43)(17, 51)(18, 55)(19, 54)(20, 49)(21, 56)(22, 52)(23, 53)(24, 50)(25, 61)(26, 62)(27, 63)(28, 64)(29, 58)(30, 57)(31, 60)(32, 59)
	local type(s) :: { ( 16^16 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph:: bipartite
	v = 4 e = 32 f = 4
	degree seq :: [ 16^4 ]

E13.35 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {4, 4})
Quotient :: toric
Aut^+ = Q16 (small group id <16, 9>)
Aut   = (C2 x Q8) : C2 (small group id <32, 44>)
|r| :: 2
Presentation :: [ S^2, B^-2 * A^-2, Z^-1 * B * A * Z^-1, B^3 * A^-1, Z^-1 * A^-1 * Z^-1 * B, A^-2 * B * A^-1, Z^-1 * B^-1 * A^-1 * Z^-1, A * Z^-1 * B^-1 * Z^-1, B^-1 * Z * B^-1 * Z^-1, Z^4, S * B * S * A, (S * Z)^2, B^-2 * Z * B * A^-1 * Z^-1 ]
Map:: non-degenerate
	R = (1, 18, 34, 50, 2, 24, 40, 56, 8, 21, 37, 53, 5, 17, 33, 49)(3, 27, 43, 59, 11, 23, 39, 55, 7, 26, 42, 58, 10, 19, 35, 51)(4, 28, 44, 60, 12, 22, 38, 54, 6, 25, 41, 57, 9, 20, 36, 52)(13, 32, 48, 64, 16, 30, 46, 62, 14, 31, 47, 63, 15, 29, 45, 61)
	L = (1, 35)(2, 41)(3, 45)(4, 40)(5, 44)(6, 33)(7, 46)(8, 39)(9, 47)(10, 37)(11, 34)(12, 48)(13, 36)(14, 38)(15, 42)(16, 43)(17, 55)(18, 60)(19, 62)(20, 49)(21, 57)(22, 56)(23, 61)(24, 51)(25, 64)(26, 50)(27, 53)(28, 63)(29, 54)(30, 52)(31, 59)(32, 58)
	local type(s) :: { ( 16^16 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph:: bipartite
	v = 4 e = 32 f = 4
	degree seq :: [ 16^4 ]

E13.36 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {3, 3})
Quotient :: toric
Aut^+ = C18 (small group id <18, 2>)
Aut   = D36 (small group id <36, 4>)
|r| :: 2
Presentation :: [ S^2, B * A^-1, A * B^-1, Z^3, (A, Z^-1), (S * Z)^2, S * B * S * A, A^6 * Z, A^2 * Z^-1 * B * A^3 * Z^-1 ]
Map::
	R = (1, 20, 38, 56, 2, 22, 40, 58, 4, 19, 37, 55)(3, 24, 42, 60, 6, 27, 45, 63, 9, 21, 39, 57)(5, 25, 43, 61, 7, 28, 46, 64, 10, 23, 41, 59)(8, 30, 48, 66, 12, 33, 51, 69, 15, 26, 44, 62)(11, 31, 49, 67, 13, 34, 52, 70, 16, 29, 47, 65)(14, 35, 53, 71, 17, 36, 54, 72, 18, 32, 50, 68)
	L = (1, 39)(2, 42)(3, 44)(4, 45)(5, 37)(6, 48)(7, 38)(8, 50)(9, 51)(10, 40)(11, 41)(12, 53)(13, 43)(14, 52)(15, 54)(16, 46)(17, 47)(18, 49)(19, 59)(20, 61)(21, 55)(22, 64)(23, 65)(24, 56)(25, 67)(26, 57)(27, 58)(28, 70)(29, 71)(30, 60)(31, 72)(32, 62)(33, 63)(34, 68)(35, 66)(36, 69)
	local type(s) :: { ( 12^12 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph:: bipartite
	v = 6 e = 36 f = 6
	degree seq :: [ 12^6 ]

E13.37 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {3, 3})
Quotient :: toric
Aut^+ = C3 x S3 (small group id <18, 3>)
Aut   = S3 x S3 (small group id <36, 10>)
|r| :: 2
Presentation :: [ A^2, B^2, S^2, Z^3, S * A * S * B, B * Z * B * Z^-1, A * Z * A * Z^-1, (S * Z)^2, (B * A)^3, (B * Z^-1 * A)^3 ]
Map:: non-degenerate
	R = (1, 20, 38, 56, 2, 23, 41, 59, 5, 19, 37, 55)(3, 24, 42, 60, 6, 27, 45, 63, 9, 21, 39, 57)(4, 25, 43, 61, 7, 29, 47, 65, 11, 22, 40, 58)(8, 30, 48, 66, 12, 33, 51, 69, 15, 26, 44, 62)(10, 31, 49, 67, 13, 34, 52, 70, 16, 28, 46, 64)(14, 35, 53, 71, 17, 36, 54, 72, 18, 32, 50, 68)
	L = (1, 39)(2, 42)(3, 37)(4, 46)(5, 45)(6, 38)(7, 49)(8, 50)(9, 41)(10, 40)(11, 52)(12, 53)(13, 43)(14, 44)(15, 54)(16, 47)(17, 48)(18, 51)(19, 58)(20, 61)(21, 62)(22, 55)(23, 65)(24, 66)(25, 56)(26, 57)(27, 69)(28, 68)(29, 59)(30, 60)(31, 71)(32, 64)(33, 63)(34, 72)(35, 67)(36, 70)
	local type(s) :: { ( 12^12 ) }
Outer automorphisms :: reflexible
Dual of E13.39
Transitivity :: VT+
Graph:: bipartite
	v = 6 e = 36 f = 6
	degree seq :: [ 12^6 ]

E13.38 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {3, 3})
Quotient :: toric
Aut^+ = C3 x S3 (small group id <18, 3>)
Aut   = S3 x S3 (small group id <36, 10>)
|r| :: 2
Presentation :: [ S^2, A^2, B^-1 * A, Z^3, S * B * S * A, (S * Z)^2, A * Z * A * Z * A * Z^-1 * A * Z^-1 ]
Map::
	R = (1, 20, 38, 56, 2, 22, 40, 58, 4, 19, 37, 55)(3, 24, 42, 60, 6, 25, 43, 61, 7, 21, 39, 57)(5, 27, 45, 63, 9, 28, 46, 64, 10, 23, 41, 59)(8, 31, 49, 67, 13, 32, 50, 68, 14, 26, 44, 62)(11, 33, 51, 69, 15, 35, 53, 71, 17, 29, 47, 65)(12, 34, 52, 70, 16, 36, 54, 72, 18, 30, 48, 66)
	L = (1, 39)(2, 41)(3, 37)(4, 44)(5, 38)(6, 47)(7, 48)(8, 40)(9, 51)(10, 52)(11, 42)(12, 43)(13, 53)(14, 54)(15, 45)(16, 46)(17, 49)(18, 50)(19, 57)(20, 59)(21, 55)(22, 62)(23, 56)(24, 65)(25, 66)(26, 58)(27, 69)(28, 70)(29, 60)(30, 61)(31, 71)(32, 72)(33, 63)(34, 64)(35, 67)(36, 68)
	local type(s) :: { ( 12^12 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph:: bipartite
	v = 6 e = 36 f = 6
	degree seq :: [ 12^6 ]

E13.39 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {3, 3})
Quotient :: toric
Aut^+ = C3 x S3 (small group id <18, 3>)
Aut   = S3 x S3 (small group id <36, 10>)
|r| :: 2
Presentation :: [ A^2, B^2, S^2, Z^3, Z^-1 * A * Z * B, S * B * S * A, (S * Z)^2, B * A * Z * A * B * Z^-1, B * Z * A * B * A * Z^-1 ]
Map:: non-degenerate
	R = (1, 20, 38, 56, 2, 23, 41, 59, 5, 19, 37, 55)(3, 25, 43, 61, 7, 27, 45, 63, 9, 21, 39, 57)(4, 28, 46, 64, 10, 30, 48, 66, 12, 22, 40, 58)(6, 31, 49, 67, 13, 33, 51, 69, 15, 24, 42, 60)(8, 32, 50, 68, 14, 35, 53, 71, 17, 26, 44, 62)(11, 34, 52, 70, 16, 36, 54, 72, 18, 29, 47, 65)
	L = (1, 39)(2, 42)(3, 37)(4, 47)(5, 48)(6, 38)(7, 52)(8, 51)(9, 53)(10, 50)(11, 40)(12, 41)(13, 54)(14, 46)(15, 44)(16, 43)(17, 45)(18, 49)(19, 58)(20, 61)(21, 62)(22, 55)(23, 67)(24, 68)(25, 56)(26, 57)(27, 72)(28, 70)(29, 69)(30, 71)(31, 59)(32, 60)(33, 65)(34, 64)(35, 66)(36, 63)
	local type(s) :: { ( 12^12 ) }
Outer automorphisms :: reflexible
Dual of E13.37
Transitivity :: VT+
Graph:: bipartite
	v = 6 e = 36 f = 6
	degree seq :: [ 12^6 ]

E13.40 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {3, 3})
Quotient :: toric
Aut^+ = C3 x S3 (small group id <18, 3>)
Aut   = S3 x S3 (small group id <36, 10>)
|r| :: 2
Presentation :: [ A^2, B^2, S^2, Z^3, Z * A * Z^-1 * B, S * B * S * A, (S * Z)^2, B * A * Z * A * B * Z^-1, A * B * A * Z * B * Z^-1 ]
Map:: non-degenerate
	R = (1, 20, 38, 56, 2, 23, 41, 59, 5, 19, 37, 55)(3, 26, 44, 62, 8, 28, 46, 64, 10, 21, 39, 57)(4, 24, 42, 60, 6, 30, 48, 66, 12, 22, 40, 58)(7, 31, 49, 67, 13, 34, 52, 70, 16, 25, 43, 61)(9, 32, 50, 68, 14, 35, 53, 71, 17, 27, 45, 63)(11, 33, 51, 69, 15, 36, 54, 72, 18, 29, 47, 65)
	L = (1, 39)(2, 42)(3, 37)(4, 47)(5, 49)(6, 38)(7, 51)(8, 50)(9, 52)(10, 54)(11, 40)(12, 53)(13, 41)(14, 44)(15, 43)(16, 45)(17, 48)(18, 46)(19, 58)(20, 61)(21, 63)(22, 55)(23, 64)(24, 68)(25, 56)(26, 69)(27, 57)(28, 59)(29, 70)(30, 72)(31, 71)(32, 60)(33, 62)(34, 65)(35, 67)(36, 66)
	local type(s) :: { ( 12^12 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph:: bipartite
	v = 6 e = 36 f = 6
	degree seq :: [ 12^6 ]

E13.41 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {3, 3})
Quotient :: toric
Aut^+ = C6 x C3 (small group id <18, 5>)
Aut   = C6 x S3 (small group id <36, 12>)
|r| :: 2
Presentation :: [ S^2, A^-1 * B^-1, Z^3, (S * Z)^2, S * A * S * B, (Z, A^-1), (Z, B^-1), B^3 * A^-3 ]
Map:: non-degenerate
	R = (1, 20, 38, 56, 2, 23, 41, 59, 5, 19, 37, 55)(3, 24, 42, 60, 6, 27, 45, 63, 9, 21, 39, 57)(4, 25, 43, 61, 7, 29, 47, 65, 11, 22, 40, 58)(8, 30, 48, 66, 12, 33, 51, 69, 15, 26, 44, 62)(10, 31, 49, 67, 13, 34, 52, 70, 16, 28, 46, 64)(14, 35, 53, 71, 17, 36, 54, 72, 18, 32, 50, 68)
	L = (1, 39)(2, 42)(3, 44)(4, 37)(5, 45)(6, 48)(7, 38)(8, 50)(9, 51)(10, 40)(11, 41)(12, 53)(13, 43)(14, 46)(15, 54)(16, 47)(17, 49)(18, 52)(19, 57)(20, 60)(21, 62)(22, 55)(23, 63)(24, 66)(25, 56)(26, 68)(27, 69)(28, 58)(29, 59)(30, 71)(31, 61)(32, 64)(33, 72)(34, 65)(35, 67)(36, 70)
	local type(s) :: { ( 12^12 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph:: bipartite
	v = 6 e = 36 f = 6
	degree seq :: [ 12^6 ]

E13.42 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {2, 2})
Quotient :: toric
Aut^+ = C4 x S3 (small group id <24, 5>)
Aut   = C2 x C4 x S3 (small group id <48, 35>)
|r| :: 2
Presentation :: [ Z^2, S^2, A^-1 * B^-1, (S * Z)^2, S * B * S * A, (B * A^-1)^2, B * Z * A * B^-1 * Z * A^-1, A^2 * Z * A^-2 * Z, A * Z * A^-1 * Z * A * Z * A^-1 * Z * A^-1 * Z * A * Z ]
Map:: non-degenerate
	R = (1, 26, 50, 74, 2, 25, 49, 73)(3, 31, 55, 79, 7, 27, 51, 75)(4, 33, 57, 81, 9, 28, 52, 76)(5, 34, 58, 82, 10, 29, 53, 77)(6, 36, 60, 84, 12, 30, 54, 78)(8, 35, 59, 83, 11, 32, 56, 80)(13, 41, 65, 89, 17, 37, 61, 85)(14, 42, 66, 90, 18, 38, 62, 86)(15, 43, 67, 91, 19, 39, 63, 87)(16, 44, 68, 92, 20, 40, 64, 88)(21, 47, 71, 95, 23, 45, 69, 93)(22, 48, 72, 96, 24, 46, 70, 94)
	L = (1, 51)(2, 53)(3, 56)(4, 49)(5, 59)(6, 50)(7, 61)(8, 52)(9, 62)(10, 63)(11, 54)(12, 64)(13, 57)(14, 55)(15, 60)(16, 58)(17, 69)(18, 70)(19, 71)(20, 72)(21, 66)(22, 65)(23, 68)(24, 67)(25, 75)(26, 77)(27, 80)(28, 73)(29, 83)(30, 74)(31, 85)(32, 76)(33, 86)(34, 87)(35, 78)(36, 88)(37, 81)(38, 79)(39, 84)(40, 82)(41, 93)(42, 94)(43, 95)(44, 96)(45, 90)(46, 89)(47, 92)(48, 91)
	local type(s) :: { ( 8^8 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph:: bipartite
	v = 12 e = 48 f = 12
	degree seq :: [ 8^12 ]

E13.43 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {2, 2})
Quotient :: toric
Aut^+ = C4 x S3 (small group id <24, 5>)
Aut   = C2 x C4 x S3 (small group id <48, 35>)
|r| :: 2
Presentation :: [ Z^2, S^2, A^-1 * B^-1, (S * Z)^2, S * B * S * A, B^2 * Z * A^-2 * Z, B * Z * B * A^-1 * Z * A^-1, B^3 * Z * B^-1 * A * B^-1 * Z, A^3 * Z * A^-1 * B * A^-1 * Z, (A * Z * B^-1 * Z)^2 ]
Map:: non-degenerate
	R = (1, 26, 50, 74, 2, 25, 49, 73)(3, 31, 55, 79, 7, 27, 51, 75)(4, 33, 57, 81, 9, 28, 52, 76)(5, 35, 59, 83, 11, 29, 53, 77)(6, 37, 61, 85, 13, 30, 54, 78)(8, 38, 62, 86, 14, 32, 56, 80)(10, 36, 60, 84, 12, 34, 58, 82)(15, 44, 68, 92, 20, 39, 63, 87)(16, 47, 71, 95, 23, 40, 64, 88)(17, 46, 70, 94, 22, 41, 65, 89)(18, 45, 69, 93, 21, 42, 66, 90)(19, 48, 72, 96, 24, 43, 67, 91)
	L = (1, 51)(2, 53)(3, 56)(4, 49)(5, 60)(6, 50)(7, 63)(8, 65)(9, 66)(10, 52)(11, 68)(12, 70)(13, 71)(14, 54)(15, 57)(16, 55)(17, 69)(18, 72)(19, 58)(20, 61)(21, 59)(22, 64)(23, 67)(24, 62)(25, 75)(26, 77)(27, 80)(28, 73)(29, 84)(30, 74)(31, 87)(32, 89)(33, 90)(34, 76)(35, 92)(36, 94)(37, 95)(38, 78)(39, 81)(40, 79)(41, 93)(42, 96)(43, 82)(44, 85)(45, 83)(46, 88)(47, 91)(48, 86)
	local type(s) :: { ( 8^8 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph:: bipartite
	v = 12 e = 48 f = 12
	degree seq :: [ 8^12 ]

E13.44 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {2, 2})
Quotient :: toric
Aut^+ = C3 x D8 (small group id <24, 10>)
Aut   = D8 x S3 (small group id <48, 38>)
|r| :: 2
Presentation :: [ Z^2, S^2, B * A^-1, (S * Z)^2, S * A * S * B, A^-1 * Z * A^2 * Z * A^-1, A^6, (A^-1 * Z * A * Z)^2 ]
Map::
	R = (1, 26, 50, 74, 2, 25, 49, 73)(3, 31, 55, 79, 7, 27, 51, 75)(4, 33, 57, 81, 9, 28, 52, 76)(5, 35, 59, 83, 11, 29, 53, 77)(6, 37, 61, 85, 13, 30, 54, 78)(8, 36, 60, 84, 12, 32, 56, 80)(10, 38, 62, 86, 14, 34, 58, 82)(15, 43, 67, 91, 19, 39, 63, 87)(16, 44, 68, 92, 20, 40, 64, 88)(17, 47, 71, 95, 23, 41, 65, 89)(18, 46, 70, 94, 22, 42, 66, 90)(21, 48, 72, 96, 24, 45, 69, 93)
	L = (1, 51)(2, 53)(3, 56)(4, 49)(5, 60)(6, 50)(7, 63)(8, 65)(9, 64)(10, 52)(11, 67)(12, 69)(13, 68)(14, 54)(15, 71)(16, 55)(17, 58)(18, 57)(19, 72)(20, 59)(21, 62)(22, 61)(23, 66)(24, 70)(25, 76)(26, 78)(27, 73)(28, 82)(29, 74)(30, 86)(31, 88)(32, 75)(33, 90)(34, 89)(35, 92)(36, 77)(37, 94)(38, 93)(39, 79)(40, 81)(41, 80)(42, 95)(43, 83)(44, 85)(45, 84)(46, 96)(47, 87)(48, 91)
	local type(s) :: { ( 8^8 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph:: bipartite
	v = 12 e = 48 f = 12
	degree seq :: [ 8^12 ]

E13.45 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {2, 2})
Quotient :: toric
Aut^+ = C3 x D8 (small group id <24, 10>)
Aut   = D8 x S3 (small group id <48, 38>)
|r| :: 2
Presentation :: [ Z^2, S^2, (B, A^-1), S * B * S * A, B * Z * A^-1 * Z, B^-2 * A^2, (S * Z)^2, B^-3 * A^-3 ]
Map:: non-degenerate
	R = (1, 26, 50, 74, 2, 25, 49, 73)(3, 32, 56, 80, 8, 27, 51, 75)(4, 31, 55, 79, 7, 28, 52, 76)(5, 34, 58, 82, 10, 29, 53, 77)(6, 33, 57, 81, 9, 30, 54, 78)(11, 40, 64, 88, 16, 35, 59, 83)(12, 41, 65, 89, 17, 36, 60, 84)(13, 42, 66, 90, 18, 37, 61, 85)(14, 43, 67, 91, 19, 38, 62, 86)(15, 44, 68, 92, 20, 39, 63, 87)(21, 48, 72, 96, 24, 45, 69, 93)(22, 47, 71, 95, 23, 46, 70, 94)
	L = (1, 51)(2, 55)(3, 59)(4, 60)(5, 49)(6, 61)(7, 64)(8, 65)(9, 50)(10, 66)(11, 69)(12, 70)(13, 52)(14, 53)(15, 54)(16, 71)(17, 72)(18, 56)(19, 57)(20, 58)(21, 63)(22, 62)(23, 68)(24, 67)(25, 78)(26, 82)(27, 85)(28, 73)(29, 87)(30, 86)(31, 90)(32, 74)(33, 92)(34, 91)(35, 76)(36, 75)(37, 77)(38, 93)(39, 94)(40, 80)(41, 79)(42, 81)(43, 95)(44, 96)(45, 84)(46, 83)(47, 89)(48, 88)
	local type(s) :: { ( 8^8 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph:: bipartite
	v = 12 e = 48 f = 12
	degree seq :: [ 8^12 ]

E13.46 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {2, 2})
Quotient :: toric
Aut^+ = C2 x C2 x S3 (small group id <24, 14>)
Aut   = D8 x S3 (small group id <48, 38>)
|r| :: 2
Presentation :: [ Z^2, S^2, B^2, A^2, (B * A)^2, (S * Z)^2, S * B * S * A, (B * A * Z)^2, (A * Z)^6 ]
Map:: non-degenerate
	R = (1, 26, 50, 74, 2, 25, 49, 73)(3, 31, 55, 79, 7, 27, 51, 75)(4, 33, 57, 81, 9, 28, 52, 76)(5, 34, 58, 82, 10, 29, 53, 77)(6, 36, 60, 84, 12, 30, 54, 78)(8, 35, 59, 83, 11, 32, 56, 80)(13, 41, 65, 89, 17, 37, 61, 85)(14, 42, 66, 90, 18, 38, 62, 86)(15, 43, 67, 91, 19, 39, 63, 87)(16, 44, 68, 92, 20, 40, 64, 88)(21, 47, 71, 95, 23, 45, 69, 93)(22, 48, 72, 96, 24, 46, 70, 94)
	L = (1, 51)(2, 53)(3, 49)(4, 56)(5, 50)(6, 59)(7, 61)(8, 52)(9, 62)(10, 63)(11, 54)(12, 64)(13, 55)(14, 57)(15, 58)(16, 60)(17, 69)(18, 70)(19, 71)(20, 72)(21, 65)(22, 66)(23, 67)(24, 68)(25, 76)(26, 78)(27, 80)(28, 73)(29, 83)(30, 74)(31, 86)(32, 75)(33, 85)(34, 88)(35, 77)(36, 87)(37, 81)(38, 79)(39, 84)(40, 82)(41, 94)(42, 93)(43, 96)(44, 95)(45, 90)(46, 89)(47, 92)(48, 91)
	local type(s) :: { ( 8^8 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph:: bipartite
	v = 12 e = 48 f = 12
	degree seq :: [ 8^12 ]

E13.47 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {2, 2})
Quotient :: toric
Aut^+ = C4 x S3 (small group id <24, 5>)
Aut   = D8 x S3 (small group id <48, 38>)
|r| :: 2
Presentation :: [ Z^2, S^2, B^-1 * A, A^4, (S * Z)^2, S * A * S * B, (A^-1 * Z * A^-1)^2, A^-1 * Z * A^-1 * Z * A * Z * A^-1 * Z * A^-1 * Z * A^-1 * Z ]
Map::
	R = (1, 26, 50, 74, 2, 25, 49, 73)(3, 31, 55, 79, 7, 27, 51, 75)(4, 33, 57, 81, 9, 28, 52, 76)(5, 34, 58, 82, 10, 29, 53, 77)(6, 36, 60, 84, 12, 30, 54, 78)(8, 35, 59, 83, 11, 32, 56, 80)(13, 41, 65, 89, 17, 37, 61, 85)(14, 42, 66, 90, 18, 38, 62, 86)(15, 43, 67, 91, 19, 39, 63, 87)(16, 44, 68, 92, 20, 40, 64, 88)(21, 47, 71, 95, 23, 45, 69, 93)(22, 48, 72, 96, 24, 46, 70, 94)
	L = (1, 51)(2, 53)(3, 56)(4, 49)(5, 59)(6, 50)(7, 61)(8, 52)(9, 62)(10, 63)(11, 54)(12, 64)(13, 57)(14, 55)(15, 60)(16, 58)(17, 69)(18, 70)(19, 71)(20, 72)(21, 66)(22, 65)(23, 68)(24, 67)(25, 76)(26, 78)(27, 73)(28, 80)(29, 74)(30, 83)(31, 86)(32, 75)(33, 85)(34, 88)(35, 77)(36, 87)(37, 79)(38, 81)(39, 82)(40, 84)(41, 94)(42, 93)(43, 96)(44, 95)(45, 89)(46, 90)(47, 91)(48, 92)
	local type(s) :: { ( 8^8 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph:: bipartite
	v = 12 e = 48 f = 12
	degree seq :: [ 8^12 ]

E13.48 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {2, 2})
Quotient :: toric
Aut^+ = C2 x C2 x S3 (small group id <24, 14>)
Aut   = D8 x S3 (small group id <48, 38>)
|r| :: 2
Presentation :: [ Z^2, S^2, A^-2 * B^-2, (A^-1, B^-1), (A^-1 * Z)^2, (S * Z)^2, S * B * S * A, (B * Z)^2, (B^-1 * A^-1)^2, B^3 * A^-2 * B, (B^-1 * A^-1 * Z)^2 ]
Map:: non-degenerate
	R = (1, 26, 50, 74, 2, 25, 49, 73)(3, 33, 57, 81, 9, 27, 51, 75)(4, 34, 58, 82, 10, 28, 52, 76)(5, 31, 55, 79, 7, 29, 53, 77)(6, 32, 56, 80, 8, 30, 54, 78)(11, 43, 67, 91, 19, 35, 59, 83)(12, 41, 65, 89, 17, 36, 60, 84)(13, 44, 68, 92, 20, 37, 61, 85)(14, 40, 64, 88, 16, 38, 62, 86)(15, 42, 66, 90, 18, 39, 63, 87)(21, 47, 71, 95, 23, 45, 69, 93)(22, 48, 72, 96, 24, 46, 70, 94)
	L = (1, 51)(2, 55)(3, 59)(4, 60)(5, 49)(6, 61)(7, 64)(8, 65)(9, 50)(10, 66)(11, 69)(12, 54)(13, 70)(14, 53)(15, 52)(16, 71)(17, 58)(18, 72)(19, 57)(20, 56)(21, 62)(22, 63)(23, 67)(24, 68)(25, 78)(26, 82)(27, 85)(28, 73)(29, 84)(30, 83)(31, 90)(32, 74)(33, 89)(34, 88)(35, 94)(36, 75)(37, 93)(38, 76)(39, 77)(40, 96)(41, 79)(42, 95)(43, 80)(44, 81)(45, 87)(46, 86)(47, 92)(48, 91)
	local type(s) :: { ( 8^8 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph:: bipartite
	v = 12 e = 48 f = 12
	degree seq :: [ 8^12 ]

E13.49 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {2, 2})
Quotient :: toric
Aut^+ = C4 x S3 (small group id <24, 5>)
Aut   = D8 x S3 (small group id <48, 38>)
|r| :: 2
Presentation :: [ Z^2, S^2, (A^-1 * B^-1)^2, (B^-1, A^-1), S * B * S * A, A^-1 * Z * B * Z, (S * Z)^2, A^-1 * B^3 * A^-2 ]
Map:: non-degenerate
	R = (1, 26, 50, 74, 2, 25, 49, 73)(3, 32, 56, 80, 8, 27, 51, 75)(4, 31, 55, 79, 7, 28, 52, 76)(5, 34, 58, 82, 10, 29, 53, 77)(6, 33, 57, 81, 9, 30, 54, 78)(11, 43, 67, 91, 19, 35, 59, 83)(12, 41, 65, 89, 17, 36, 60, 84)(13, 44, 68, 92, 20, 37, 61, 85)(14, 40, 64, 88, 16, 38, 62, 86)(15, 42, 66, 90, 18, 39, 63, 87)(21, 47, 71, 95, 23, 45, 69, 93)(22, 48, 72, 96, 24, 46, 70, 94)
	L = (1, 51)(2, 55)(3, 59)(4, 60)(5, 49)(6, 61)(7, 64)(8, 65)(9, 50)(10, 66)(11, 69)(12, 54)(13, 70)(14, 53)(15, 52)(16, 71)(17, 58)(18, 72)(19, 57)(20, 56)(21, 63)(22, 62)(23, 68)(24, 67)(25, 78)(26, 82)(27, 85)(28, 73)(29, 84)(30, 83)(31, 90)(32, 74)(33, 89)(34, 88)(35, 94)(36, 75)(37, 93)(38, 76)(39, 77)(40, 96)(41, 79)(42, 95)(43, 80)(44, 81)(45, 86)(46, 87)(47, 91)(48, 92)
	local type(s) :: { ( 8^8 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph:: bipartite
	v = 12 e = 48 f = 12
	degree seq :: [ 8^12 ]

E13.50 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {2, 2})
Quotient :: toric
Aut^+ = D24 (small group id <24, 6>)
Aut   = D8 x S3 (small group id <48, 38>)
|r| :: 2
Presentation :: [ Z^2, S^2, B^2, A^2, (B * A)^2, (S * Z)^2, S * B * S * A, (B * A * Z)^2, A * Z * B * Z * A * Z * A * Z * A * Z * A * Z ]
Map:: non-degenerate
	R = (1, 26, 50, 74, 2, 25, 49, 73)(3, 31, 55, 79, 7, 27, 51, 75)(4, 33, 57, 81, 9, 28, 52, 76)(5, 34, 58, 82, 10, 29, 53, 77)(6, 36, 60, 84, 12, 30, 54, 78)(8, 35, 59, 83, 11, 32, 56, 80)(13, 41, 65, 89, 17, 37, 61, 85)(14, 42, 66, 90, 18, 38, 62, 86)(15, 43, 67, 91, 19, 39, 63, 87)(16, 44, 68, 92, 20, 40, 64, 88)(21, 48, 72, 96, 24, 45, 69, 93)(22, 47, 71, 95, 23, 46, 70, 94)
	L = (1, 51)(2, 53)(3, 49)(4, 56)(5, 50)(6, 59)(7, 61)(8, 52)(9, 62)(10, 63)(11, 54)(12, 64)(13, 55)(14, 57)(15, 58)(16, 60)(17, 69)(18, 70)(19, 71)(20, 72)(21, 65)(22, 66)(23, 67)(24, 68)(25, 76)(26, 78)(27, 80)(28, 73)(29, 83)(30, 74)(31, 86)(32, 75)(33, 85)(34, 88)(35, 77)(36, 87)(37, 81)(38, 79)(39, 84)(40, 82)(41, 94)(42, 93)(43, 96)(44, 95)(45, 90)(46, 89)(47, 92)(48, 91)
	local type(s) :: { ( 8^8 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph:: bipartite
	v = 12 e = 48 f = 12
	degree seq :: [ 8^12 ]

E13.51 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {2, 2})
Quotient :: toric
Aut^+ = (C6 x C2) : C2 (small group id <24, 8>)
Aut   = D8 x S3 (small group id <48, 38>)
|r| :: 2
Presentation :: [ Z^2, S^2, B^-1 * A, A^4, S * A * S * B, (S * Z)^2, (A^-1 * Z * A^-1)^2, A^-1 * Z * A^-1 * Z * A * Z * A * Z * A^-1 * Z * A^-1 * Z ]
Map::
	R = (1, 26, 50, 74, 2, 25, 49, 73)(3, 31, 55, 79, 7, 27, 51, 75)(4, 33, 57, 81, 9, 28, 52, 76)(5, 34, 58, 82, 10, 29, 53, 77)(6, 36, 60, 84, 12, 30, 54, 78)(8, 35, 59, 83, 11, 32, 56, 80)(13, 41, 65, 89, 17, 37, 61, 85)(14, 42, 66, 90, 18, 38, 62, 86)(15, 43, 67, 91, 19, 39, 63, 87)(16, 44, 68, 92, 20, 40, 64, 88)(21, 48, 72, 96, 24, 45, 69, 93)(22, 47, 71, 95, 23, 46, 70, 94)
	L = (1, 51)(2, 53)(3, 56)(4, 49)(5, 59)(6, 50)(7, 61)(8, 52)(9, 62)(10, 63)(11, 54)(12, 64)(13, 57)(14, 55)(15, 60)(16, 58)(17, 69)(18, 70)(19, 71)(20, 72)(21, 66)(22, 65)(23, 68)(24, 67)(25, 76)(26, 78)(27, 73)(28, 80)(29, 74)(30, 83)(31, 86)(32, 75)(33, 85)(34, 88)(35, 77)(36, 87)(37, 79)(38, 81)(39, 82)(40, 84)(41, 94)(42, 93)(43, 96)(44, 95)(45, 89)(46, 90)(47, 91)(48, 92)
	local type(s) :: { ( 8^8 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph:: bipartite
	v = 12 e = 48 f = 12
	degree seq :: [ 8^12 ]

E13.52 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {2, 2})
Quotient :: toric
Aut^+ = (C6 x C2) : C2 (small group id <24, 8>)
Aut   = D8 x S3 (small group id <48, 38>)
|r| :: 2
Presentation :: [ Z^2, S^2, (A, B), A^-2 * B^-2, S * B * S * A, (S * Z)^2, (B^-1 * A^-1)^2, A * Z * B^-1 * Z, (B^-1 * A^-1 * Z)^2, B * A^-1 * B^3 * A^-1, (Z * B^2)^2, A^-1 * B * A^-1 * Z * A^-3 * Z ]
Map:: non-degenerate
	R = (1, 26, 50, 74, 2, 25, 49, 73)(3, 32, 56, 80, 8, 27, 51, 75)(4, 31, 55, 79, 7, 28, 52, 76)(5, 34, 58, 82, 10, 29, 53, 77)(6, 33, 57, 81, 9, 30, 54, 78)(11, 43, 67, 91, 19, 35, 59, 83)(12, 41, 65, 89, 17, 36, 60, 84)(13, 44, 68, 92, 20, 37, 61, 85)(14, 40, 64, 88, 16, 38, 62, 86)(15, 42, 66, 90, 18, 39, 63, 87)(21, 48, 72, 96, 24, 45, 69, 93)(22, 47, 71, 95, 23, 46, 70, 94)
	L = (1, 51)(2, 55)(3, 59)(4, 60)(5, 49)(6, 61)(7, 64)(8, 65)(9, 50)(10, 66)(11, 69)(12, 54)(13, 70)(14, 53)(15, 52)(16, 71)(17, 58)(18, 72)(19, 57)(20, 56)(21, 62)(22, 63)(23, 67)(24, 68)(25, 78)(26, 82)(27, 85)(28, 73)(29, 84)(30, 83)(31, 90)(32, 74)(33, 89)(34, 88)(35, 94)(36, 75)(37, 93)(38, 76)(39, 77)(40, 96)(41, 79)(42, 95)(43, 80)(44, 81)(45, 87)(46, 86)(47, 92)(48, 91)
	local type(s) :: { ( 8^8 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph:: bipartite
	v = 12 e = 48 f = 12
	degree seq :: [ 8^12 ]

E13.53 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {2, 2})
Quotient :: toric
Aut^+ = D24 (small group id <24, 6>)
Aut   = D8 x S3 (small group id <48, 38>)
|r| :: 2
Presentation :: [ Z^2, S^2, (B^-1 * A^-1)^2, (A, B^-1), A^-1 * B^-2 * A^-1, (A^-1 * Z)^2, (S * Z)^2, S * B * S * A, (B^-1 * Z)^2, A^-2 * B * A^-3, B * A * Z * B^-1 * A^-1 * Z, B^-2 * A * B^-1 * Z * A^-2 * Z ]
Map:: non-degenerate
	R = (1, 26, 50, 74, 2, 25, 49, 73)(3, 33, 57, 81, 9, 27, 51, 75)(4, 34, 58, 82, 10, 28, 52, 76)(5, 31, 55, 79, 7, 29, 53, 77)(6, 32, 56, 80, 8, 30, 54, 78)(11, 43, 67, 91, 19, 35, 59, 83)(12, 41, 65, 89, 17, 36, 60, 84)(13, 44, 68, 92, 20, 37, 61, 85)(14, 40, 64, 88, 16, 38, 62, 86)(15, 42, 66, 90, 18, 39, 63, 87)(21, 48, 72, 96, 24, 45, 69, 93)(22, 47, 71, 95, 23, 46, 70, 94)
	L = (1, 51)(2, 55)(3, 59)(4, 60)(5, 49)(6, 61)(7, 64)(8, 65)(9, 50)(10, 66)(11, 69)(12, 54)(13, 70)(14, 53)(15, 52)(16, 71)(17, 58)(18, 72)(19, 57)(20, 56)(21, 63)(22, 62)(23, 68)(24, 67)(25, 78)(26, 82)(27, 85)(28, 73)(29, 84)(30, 83)(31, 90)(32, 74)(33, 89)(34, 88)(35, 94)(36, 75)(37, 93)(38, 76)(39, 77)(40, 96)(41, 79)(42, 95)(43, 80)(44, 81)(45, 86)(46, 87)(47, 91)(48, 92)
	local type(s) :: { ( 8^8 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph:: bipartite
	v = 12 e = 48 f = 12
	degree seq :: [ 8^12 ]

E13.54 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {2, 2})
Quotient :: toric
Aut^+ = D24 (small group id <24, 6>)
Aut   = C2 x D24 (small group id <48, 36>)
|r| :: 2
Presentation :: [ Z^2, S^2, A^2, B^-1 * A, S * B * S * A, (S * Z)^2, (A * Z)^12 ]
Map::
	R = (1, 26, 50, 74, 2, 25, 49, 73)(3, 29, 53, 77, 5, 27, 51, 75)(4, 30, 54, 78, 6, 28, 52, 76)(7, 33, 57, 81, 9, 31, 55, 79)(8, 34, 58, 82, 10, 32, 56, 80)(11, 37, 61, 85, 13, 35, 59, 83)(12, 38, 62, 86, 14, 36, 60, 84)(15, 41, 65, 89, 17, 39, 63, 87)(16, 42, 66, 90, 18, 40, 64, 88)(19, 45, 69, 93, 21, 43, 67, 91)(20, 46, 70, 94, 22, 44, 68, 92)(23, 48, 72, 96, 24, 47, 71, 95)
	L = (1, 51)(2, 52)(3, 49)(4, 50)(5, 55)(6, 56)(7, 53)(8, 54)(9, 59)(10, 60)(11, 57)(12, 58)(13, 63)(14, 64)(15, 61)(16, 62)(17, 67)(18, 68)(19, 65)(20, 66)(21, 71)(22, 72)(23, 69)(24, 70)(25, 75)(26, 76)(27, 73)(28, 74)(29, 79)(30, 80)(31, 77)(32, 78)(33, 83)(34, 84)(35, 81)(36, 82)(37, 87)(38, 88)(39, 85)(40, 86)(41, 91)(42, 92)(43, 89)(44, 90)(45, 95)(46, 96)(47, 93)(48, 94)
	local type(s) :: { ( 8^8 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph:: bipartite
	v = 12 e = 48 f = 12
	degree seq :: [ 8^12 ]

E13.55 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {2, 2})
Quotient :: toric
Aut^+ = D24 (small group id <24, 6>)
Aut   = C2 x D24 (small group id <48, 36>)
|r| :: 2
Presentation :: [ Z^2, S^2, A^-1 * B^-1, (S * Z)^2, S * A * S * B, A * Z * B^-1 * Z, B^6 * A^-6 ]
Map:: non-degenerate
	R = (1, 26, 50, 74, 2, 25, 49, 73)(3, 30, 54, 78, 6, 27, 51, 75)(4, 29, 53, 77, 5, 28, 52, 76)(7, 34, 58, 82, 10, 31, 55, 79)(8, 33, 57, 81, 9, 32, 56, 80)(11, 38, 62, 86, 14, 35, 59, 83)(12, 37, 61, 85, 13, 36, 60, 84)(15, 42, 66, 90, 18, 39, 63, 87)(16, 41, 65, 89, 17, 40, 64, 88)(19, 46, 70, 94, 22, 43, 67, 91)(20, 45, 69, 93, 21, 44, 68, 92)(23, 48, 72, 96, 24, 47, 71, 95)
	L = (1, 51)(2, 53)(3, 55)(4, 49)(5, 57)(6, 50)(7, 59)(8, 52)(9, 61)(10, 54)(11, 63)(12, 56)(13, 65)(14, 58)(15, 67)(16, 60)(17, 69)(18, 62)(19, 71)(20, 64)(21, 72)(22, 66)(23, 68)(24, 70)(25, 75)(26, 77)(27, 79)(28, 73)(29, 81)(30, 74)(31, 83)(32, 76)(33, 85)(34, 78)(35, 87)(36, 80)(37, 89)(38, 82)(39, 91)(40, 84)(41, 93)(42, 86)(43, 95)(44, 88)(45, 96)(46, 90)(47, 92)(48, 94)
	local type(s) :: { ( 8^8 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph:: bipartite
	v = 12 e = 48 f = 12
	degree seq :: [ 8^12 ]

E13.56 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {2, 2})
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 :: [ Z^2, S^2, A^-1 * B^-1, (S * Z)^2, S * B * S * A, (B * A^-1)^2, B * Z * A * B^-1 * Z * A^-1, A^2 * Z * A^-2 * Z, A * Z * A * Z * A * Z * A^-1 * Z * A^-1 * Z * B^-1 * Z ]
Map:: non-degenerate
	R = (1, 26, 50, 74, 2, 25, 49, 73)(3, 31, 55, 79, 7, 27, 51, 75)(4, 33, 57, 81, 9, 28, 52, 76)(5, 34, 58, 82, 10, 29, 53, 77)(6, 36, 60, 84, 12, 30, 54, 78)(8, 35, 59, 83, 11, 32, 56, 80)(13, 41, 65, 89, 17, 37, 61, 85)(14, 42, 66, 90, 18, 38, 62, 86)(15, 43, 67, 91, 19, 39, 63, 87)(16, 44, 68, 92, 20, 40, 64, 88)(21, 48, 72, 96, 24, 45, 69, 93)(22, 47, 71, 95, 23, 46, 70, 94)
	L = (1, 51)(2, 53)(3, 56)(4, 49)(5, 59)(6, 50)(7, 61)(8, 52)(9, 62)(10, 63)(11, 54)(12, 64)(13, 57)(14, 55)(15, 60)(16, 58)(17, 69)(18, 70)(19, 71)(20, 72)(21, 66)(22, 65)(23, 68)(24, 67)(25, 75)(26, 77)(27, 80)(28, 73)(29, 83)(30, 74)(31, 85)(32, 76)(33, 86)(34, 87)(35, 78)(36, 88)(37, 81)(38, 79)(39, 84)(40, 82)(41, 93)(42, 94)(43, 95)(44, 96)(45, 90)(46, 89)(47, 92)(48, 91)
	local type(s) :: { ( 8^8 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph:: bipartite
	v = 12 e = 48 f = 12
	degree seq :: [ 8^12 ]

E13.57 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {2, 2})
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 :: [ Z^2, S^2, B^-1 * A^-1, S * B * S * A, (S * Z)^2, A^2 * Z * B^-2 * Z, B * Z * B * A^-1 * Z * A^-1, B^3 * A^-3, (A * Z * B^-1 * Z)^2 ]
Map:: non-degenerate
	R = (1, 26, 50, 74, 2, 25, 49, 73)(3, 31, 55, 79, 7, 27, 51, 75)(4, 33, 57, 81, 9, 28, 52, 76)(5, 35, 59, 83, 11, 29, 53, 77)(6, 37, 61, 85, 13, 30, 54, 78)(8, 38, 62, 86, 14, 32, 56, 80)(10, 36, 60, 84, 12, 34, 58, 82)(15, 43, 67, 91, 19, 39, 63, 87)(16, 46, 70, 94, 22, 40, 64, 88)(17, 47, 71, 95, 23, 41, 65, 89)(18, 44, 68, 92, 20, 42, 66, 90)(21, 48, 72, 96, 24, 45, 69, 93)
	L = (1, 51)(2, 53)(3, 56)(4, 49)(5, 60)(6, 50)(7, 63)(8, 65)(9, 66)(10, 52)(11, 67)(12, 69)(13, 70)(14, 54)(15, 57)(16, 55)(17, 58)(18, 71)(19, 61)(20, 59)(21, 62)(22, 72)(23, 64)(24, 68)(25, 75)(26, 77)(27, 80)(28, 73)(29, 84)(30, 74)(31, 87)(32, 89)(33, 90)(34, 76)(35, 91)(36, 93)(37, 94)(38, 78)(39, 81)(40, 79)(41, 82)(42, 95)(43, 85)(44, 83)(45, 86)(46, 96)(47, 88)(48, 92)
	local type(s) :: { ( 8^8 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph:: bipartite
	v = 12 e = 48 f = 12
	degree seq :: [ 8^12 ]

E13.58 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {2, 2})
Quotient :: toric
Aut^+ = C3 x D8 (small group id <24, 10>)
Aut   = C6 x D8 (small group id <48, 45>)
|r| :: 2
Presentation :: [ Z^2, S^2, A^-1 * B^-1, (S * Z)^2, S * A * S * B, B * Z * A * B^-1 * Z * A^-1, B^3 * A^-3, A^2 * Z * A^-2 * Z, B^2 * Z * B^-2 * Z, B * Z * A * Z * B^-1 * Z * A^-1 * Z ]
Map:: non-degenerate
	R = (1, 26, 50, 74, 2, 25, 49, 73)(3, 31, 55, 79, 7, 27, 51, 75)(4, 33, 57, 81, 9, 28, 52, 76)(5, 35, 59, 83, 11, 29, 53, 77)(6, 37, 61, 85, 13, 30, 54, 78)(8, 36, 60, 84, 12, 32, 56, 80)(10, 38, 62, 86, 14, 34, 58, 82)(15, 43, 67, 91, 19, 39, 63, 87)(16, 44, 68, 92, 20, 40, 64, 88)(17, 47, 71, 95, 23, 41, 65, 89)(18, 46, 70, 94, 22, 42, 66, 90)(21, 48, 72, 96, 24, 45, 69, 93)
	L = (1, 51)(2, 53)(3, 56)(4, 49)(5, 60)(6, 50)(7, 63)(8, 65)(9, 64)(10, 52)(11, 67)(12, 69)(13, 68)(14, 54)(15, 71)(16, 55)(17, 58)(18, 57)(19, 72)(20, 59)(21, 62)(22, 61)(23, 66)(24, 70)(25, 75)(26, 77)(27, 80)(28, 73)(29, 84)(30, 74)(31, 87)(32, 89)(33, 88)(34, 76)(35, 91)(36, 93)(37, 92)(38, 78)(39, 95)(40, 79)(41, 82)(42, 81)(43, 96)(44, 83)(45, 86)(46, 85)(47, 90)(48, 94)
	local type(s) :: { ( 8^8 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph:: bipartite
	v = 12 e = 48 f = 12
	degree seq :: [ 8^12 ]

E13.59 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {2, 2})
Quotient :: toric
Aut^+ = C3 x D8 (small group id <24, 10>)
Aut   = C6 x D8 (small group id <48, 45>)
|r| :: 2
Presentation :: [ Z^2, S^2, B^-1 * A^-1, (S * Z)^2, S * B * S * A, B^2 * Z * B^-2 * Z, A^2 * Z * A^-2 * Z, B^2 * Z * B * Z * A^-2 * B, A * Z * B^-1 * Z * B * Z * A^-1 * Z ]
Map:: non-degenerate
	R = (1, 26, 50, 74, 2, 25, 49, 73)(3, 31, 55, 79, 7, 27, 51, 75)(4, 33, 57, 81, 9, 28, 52, 76)(5, 35, 59, 83, 11, 29, 53, 77)(6, 37, 61, 85, 13, 30, 54, 78)(8, 36, 60, 84, 12, 32, 56, 80)(10, 38, 62, 86, 14, 34, 58, 82)(15, 44, 68, 92, 20, 39, 63, 87)(16, 45, 69, 93, 21, 40, 64, 88)(17, 48, 72, 96, 24, 41, 65, 89)(18, 47, 71, 95, 23, 42, 66, 90)(19, 46, 70, 94, 22, 43, 67, 91)
	L = (1, 51)(2, 53)(3, 56)(4, 49)(5, 60)(6, 50)(7, 63)(8, 65)(9, 64)(10, 52)(11, 68)(12, 70)(13, 69)(14, 54)(15, 72)(16, 55)(17, 71)(18, 57)(19, 58)(20, 67)(21, 59)(22, 66)(23, 61)(24, 62)(25, 75)(26, 77)(27, 80)(28, 73)(29, 84)(30, 74)(31, 87)(32, 89)(33, 88)(34, 76)(35, 92)(36, 94)(37, 93)(38, 78)(39, 96)(40, 79)(41, 95)(42, 81)(43, 82)(44, 91)(45, 83)(46, 90)(47, 85)(48, 86)
	local type(s) :: { ( 8^8 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph:: bipartite
	v = 12 e = 48 f = 12
	degree seq :: [ 8^12 ]

E13.60 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {2, 2})
Quotient :: toric
Aut^+ = C2 x A4 (small group id <24, 13>)
Aut   = C2 x S4 (small group id <48, 48>)
|r| :: 2
Presentation :: [ Z^2, S^2, B^3, A^3, (B * A^-1)^2, (S * Z)^2, S * A * S * B, A * Z * A^-1 * Z, B * Z * B^-1 * Z, (A * Z * B^-1 * A^-1 * B)^2 ]
Map:: polytopal non-degenerate
	R = (1, 26, 50, 74, 2, 25, 49, 73)(3, 31, 55, 79, 7, 27, 51, 75)(4, 32, 56, 80, 8, 28, 52, 76)(5, 33, 57, 81, 9, 29, 53, 77)(6, 34, 58, 82, 10, 30, 54, 78)(11, 41, 65, 89, 17, 35, 59, 83)(12, 42, 66, 90, 18, 36, 60, 84)(13, 43, 67, 91, 19, 37, 61, 85)(14, 44, 68, 92, 20, 38, 62, 86)(15, 45, 69, 93, 21, 39, 63, 87)(16, 46, 70, 94, 22, 40, 64, 88)(23, 48, 72, 96, 24, 47, 71, 95)
	L = (1, 51)(2, 55)(3, 53)(4, 61)(5, 49)(6, 62)(7, 57)(8, 67)(9, 50)(10, 68)(11, 71)(12, 52)(13, 60)(14, 64)(15, 59)(16, 54)(17, 72)(18, 56)(19, 66)(20, 70)(21, 65)(22, 58)(23, 63)(24, 69)(25, 78)(26, 82)(27, 84)(28, 73)(29, 87)(30, 76)(31, 90)(32, 74)(33, 93)(34, 80)(35, 75)(36, 83)(37, 88)(38, 77)(39, 86)(40, 95)(41, 79)(42, 89)(43, 94)(44, 81)(45, 92)(46, 96)(47, 85)(48, 91)
	local type(s) :: { ( 8^8 ) }
Outer automorphisms :: reflexible
Dual of E13.62
Transitivity :: VT+
Graph::
	v = 12 e = 48 f = 12
	degree seq :: [ 8^12 ]

E13.61 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {2, 2})
Quotient :: toric
Aut^+ = C2 x A4 (small group id <24, 13>)
Aut   = C2 x S4 (small group id <48, 48>)
|r| :: 2
Presentation :: [ Z^2, S^2, B^-1 * A, A^3, S * B * S * A, (S * Z)^2, (Z * A * Z * A^-1)^2 ]
Map::
	R = (1, 26, 50, 74, 2, 25, 49, 73)(3, 31, 55, 79, 7, 27, 51, 75)(4, 32, 56, 80, 8, 28, 52, 76)(5, 33, 57, 81, 9, 29, 53, 77)(6, 34, 58, 82, 10, 30, 54, 78)(11, 43, 67, 91, 19, 35, 59, 83)(12, 40, 64, 88, 16, 36, 60, 84)(13, 41, 65, 89, 17, 37, 61, 85)(14, 44, 68, 92, 20, 38, 62, 86)(15, 45, 69, 93, 21, 39, 63, 87)(18, 46, 70, 94, 22, 42, 66, 90)(23, 48, 72, 96, 24, 47, 71, 95)
	L = (1, 51)(2, 53)(3, 52)(4, 49)(5, 54)(6, 50)(7, 59)(8, 61)(9, 63)(10, 65)(11, 60)(12, 55)(13, 62)(14, 56)(15, 64)(16, 57)(17, 66)(18, 58)(19, 71)(20, 67)(21, 72)(22, 69)(23, 68)(24, 70)(25, 76)(26, 78)(27, 73)(28, 75)(29, 74)(30, 77)(31, 84)(32, 86)(33, 88)(34, 90)(35, 79)(36, 83)(37, 80)(38, 85)(39, 81)(40, 87)(41, 82)(42, 89)(43, 92)(44, 95)(45, 94)(46, 96)(47, 91)(48, 93)
	local type(s) :: { ( 8^8 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph::
	v = 12 e = 48 f = 12
	degree seq :: [ 8^12 ]

E13.62 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {2, 2})
Quotient :: toric
Aut^+ = C2 x A4 (small group id <24, 13>)
Aut   = C2 x S4 (small group id <48, 48>)
|r| :: 2
Presentation :: [ Z^2, S^2, B^3, A^3, (B * A^-1)^2, (S * Z)^2, S * A * S * B, A * Z * B^-1 * Z, (B * Z * B * A)^2 ]
Map:: polytopal non-degenerate
	R = (1, 26, 50, 74, 2, 25, 49, 73)(3, 32, 56, 80, 8, 27, 51, 75)(4, 31, 55, 79, 7, 28, 52, 76)(5, 34, 58, 82, 10, 29, 53, 77)(6, 33, 57, 81, 9, 30, 54, 78)(11, 43, 67, 91, 19, 35, 59, 83)(12, 42, 66, 90, 18, 36, 60, 84)(13, 41, 65, 89, 17, 37, 61, 85)(14, 44, 68, 92, 20, 38, 62, 86)(15, 46, 70, 94, 22, 39, 63, 87)(16, 45, 69, 93, 21, 40, 64, 88)(23, 48, 72, 96, 24, 47, 71, 95)
	L = (1, 51)(2, 55)(3, 53)(4, 61)(5, 49)(6, 62)(7, 57)(8, 67)(9, 50)(10, 68)(11, 71)(12, 52)(13, 60)(14, 64)(15, 59)(16, 54)(17, 72)(18, 56)(19, 66)(20, 70)(21, 65)(22, 58)(23, 63)(24, 69)(25, 78)(26, 82)(27, 84)(28, 73)(29, 87)(30, 76)(31, 90)(32, 74)(33, 93)(34, 80)(35, 75)(36, 83)(37, 88)(38, 77)(39, 86)(40, 95)(41, 79)(42, 89)(43, 94)(44, 81)(45, 92)(46, 96)(47, 85)(48, 91)
	local type(s) :: { ( 8^8 ) }
Outer automorphisms :: reflexible
Dual of E13.60
Transitivity :: VT+
Graph::
	v = 12 e = 48 f = 12
	degree seq :: [ 8^12 ]

E13.63 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {2, 2})
Quotient :: toric
Aut^+ = S4 (small group id <24, 12>)
Aut   = C2 x S4 (small group id <48, 48>)
|r| :: 2
Presentation :: [ Z^2, S^2, A^-1 * B^-1, A * B^-2, S * A * S * B, (S * Z)^2, Z * A * Z * B^-1 * Z * B^-1 * Z * B^-1, A * Z * B * Z * A * Z * A^-1 * Z * B^-1 * Z * A^-1 * Z ]
Map:: non-degenerate
	R = (1, 26, 50, 74, 2, 25, 49, 73)(3, 31, 55, 79, 7, 27, 51, 75)(4, 32, 56, 80, 8, 28, 52, 76)(5, 33, 57, 81, 9, 29, 53, 77)(6, 34, 58, 82, 10, 30, 54, 78)(11, 42, 66, 90, 18, 35, 59, 83)(12, 43, 67, 91, 19, 36, 60, 84)(13, 44, 68, 92, 20, 37, 61, 85)(14, 39, 63, 87, 15, 38, 62, 86)(16, 45, 69, 93, 21, 40, 64, 88)(17, 46, 70, 94, 22, 41, 65, 89)(23, 48, 72, 96, 24, 47, 71, 95)
	L = (1, 51)(2, 53)(3, 52)(4, 49)(5, 54)(6, 50)(7, 59)(8, 61)(9, 63)(10, 65)(11, 60)(12, 55)(13, 62)(14, 56)(15, 64)(16, 57)(17, 66)(18, 58)(19, 71)(20, 67)(21, 72)(22, 69)(23, 68)(24, 70)(25, 75)(26, 77)(27, 76)(28, 73)(29, 78)(30, 74)(31, 83)(32, 85)(33, 87)(34, 89)(35, 84)(36, 79)(37, 86)(38, 80)(39, 88)(40, 81)(41, 90)(42, 82)(43, 95)(44, 91)(45, 96)(46, 93)(47, 92)(48, 94)
	local type(s) :: { ( 8^8 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph::
	v = 12 e = 48 f = 12
	degree seq :: [ 8^12 ]

E13.64 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {2, 2})
Quotient :: toric
Aut^+ = S4 (small group id <24, 12>)
Aut   = C2 x S4 (small group id <48, 48>)
|r| :: 2
Presentation :: [ Z^2, S^2, B^-1 * A^-1, B * A^-3, S * B * S * A, (S * Z)^2, Z * A * Z * B^-1 * Z * A, A^2 * Z * A^2 * Z * A^-1 * Z * B^-1 * Z * A^-1 * Z ]
Map:: non-degenerate
	R = (1, 26, 50, 74, 2, 25, 49, 73)(3, 31, 55, 79, 7, 27, 51, 75)(4, 33, 57, 81, 9, 28, 52, 76)(5, 34, 58, 82, 10, 29, 53, 77)(6, 36, 60, 84, 12, 30, 54, 78)(8, 38, 62, 86, 14, 32, 56, 80)(11, 41, 65, 89, 17, 35, 59, 83)(13, 43, 67, 91, 19, 37, 61, 85)(15, 44, 68, 92, 20, 39, 63, 87)(16, 45, 69, 93, 21, 40, 64, 88)(18, 46, 70, 94, 22, 42, 66, 90)(23, 48, 72, 96, 24, 47, 71, 95)
	L = (1, 51)(2, 53)(3, 56)(4, 49)(5, 59)(6, 50)(7, 60)(8, 52)(9, 63)(10, 57)(11, 54)(12, 66)(13, 55)(14, 67)(15, 64)(16, 58)(17, 69)(18, 61)(19, 71)(20, 62)(21, 72)(22, 65)(23, 68)(24, 70)(25, 75)(26, 77)(27, 80)(28, 73)(29, 83)(30, 74)(31, 84)(32, 76)(33, 87)(34, 81)(35, 78)(36, 90)(37, 79)(38, 91)(39, 88)(40, 82)(41, 93)(42, 85)(43, 95)(44, 86)(45, 96)(46, 89)(47, 92)(48, 94)
	local type(s) :: { ( 8^8 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph::
	v = 12 e = 48 f = 12
	degree seq :: [ 8^12 ]

E13.65 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {2, 2})
Quotient :: toric
Aut^+ = S4 (small group id <24, 12>)
Aut   = C2 x S4 (small group id <48, 48>)
|r| :: 2
Presentation :: [ Z^2, S^2, B^2, A^2, (S * Z)^2, S * B * S * A, (B * A)^2, (Z * A)^3, (B * Z)^3 ]
Map:: non-degenerate
	R = (1, 26, 50, 74, 2, 25, 49, 73)(3, 31, 55, 79, 7, 27, 51, 75)(4, 33, 57, 81, 9, 28, 52, 76)(5, 34, 58, 82, 10, 29, 53, 77)(6, 36, 60, 84, 12, 30, 54, 78)(8, 38, 62, 86, 14, 32, 56, 80)(11, 41, 65, 89, 17, 35, 59, 83)(13, 43, 67, 91, 19, 37, 61, 85)(15, 44, 68, 92, 20, 39, 63, 87)(16, 45, 69, 93, 21, 40, 64, 88)(18, 46, 70, 94, 22, 42, 66, 90)(23, 48, 72, 96, 24, 47, 71, 95)
	L = (1, 51)(2, 53)(3, 49)(4, 56)(5, 50)(6, 59)(7, 58)(8, 52)(9, 63)(10, 55)(11, 54)(12, 66)(13, 64)(14, 68)(15, 57)(16, 61)(17, 70)(18, 60)(19, 71)(20, 62)(21, 72)(22, 65)(23, 67)(24, 69)(25, 76)(26, 78)(27, 80)(28, 73)(29, 83)(30, 74)(31, 85)(32, 75)(33, 84)(34, 88)(35, 77)(36, 81)(37, 79)(38, 91)(39, 90)(40, 82)(41, 93)(42, 87)(43, 86)(44, 95)(45, 89)(46, 96)(47, 92)(48, 94)
	local type(s) :: { ( 8^8 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph::
	v = 12 e = 48 f = 12
	degree seq :: [ 8^12 ]

E13.66 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {2, 2})
Quotient :: toric
Aut^+ = S4 (small group id <24, 12>)
Aut   = C2 x S4 (small group id <48, 48>)
|r| :: 2
Presentation :: [ Z^2, S^2, B * A^-1, A^4, S * A * S * B, (S * Z)^2, (A * Z)^3, A^2 * Z * A^2 * Z * A^-1 * Z * A * Z * A^-1 * Z ]
Map::
	R = (1, 26, 50, 74, 2, 25, 49, 73)(3, 31, 55, 79, 7, 27, 51, 75)(4, 33, 57, 81, 9, 28, 52, 76)(5, 34, 58, 82, 10, 29, 53, 77)(6, 36, 60, 84, 12, 30, 54, 78)(8, 38, 62, 86, 14, 32, 56, 80)(11, 41, 65, 89, 17, 35, 59, 83)(13, 43, 67, 91, 19, 37, 61, 85)(15, 44, 68, 92, 20, 39, 63, 87)(16, 45, 69, 93, 21, 40, 64, 88)(18, 46, 70, 94, 22, 42, 66, 90)(23, 48, 72, 96, 24, 47, 71, 95)
	L = (1, 51)(2, 53)(3, 56)(4, 49)(5, 59)(6, 50)(7, 60)(8, 52)(9, 63)(10, 57)(11, 54)(12, 66)(13, 55)(14, 67)(15, 64)(16, 58)(17, 69)(18, 61)(19, 71)(20, 62)(21, 72)(22, 65)(23, 68)(24, 70)(25, 76)(26, 78)(27, 73)(28, 80)(29, 74)(30, 83)(31, 85)(32, 75)(33, 82)(34, 88)(35, 77)(36, 79)(37, 90)(38, 92)(39, 81)(40, 87)(41, 94)(42, 84)(43, 86)(44, 95)(45, 89)(46, 96)(47, 91)(48, 93)
	local type(s) :: { ( 8^8 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph::
	v = 12 e = 48 f = 12
	degree seq :: [ 8^12 ]

E13.67 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {2, 2})
Quotient :: toric
Aut^+ = C2 x A4 (small group id <24, 13>)
Aut   = C2 x C2 x A4 (small group id <48, 49>)
|r| :: 2
Presentation :: [ Z^2, S^2, B^3, A^3, S * A * S * B, (B^-1 * A^-1)^2, (S * Z)^2, A * Z * A^-1 * Z, B * Z * B^-1 * Z, (B * A^-1)^3, (A * Z * B^-1 * A^-1 * B)^2 ]
Map:: polytopal non-degenerate
	R = (1, 26, 50, 74, 2, 25, 49, 73)(3, 31, 55, 79, 7, 27, 51, 75)(4, 32, 56, 80, 8, 28, 52, 76)(5, 33, 57, 81, 9, 29, 53, 77)(6, 34, 58, 82, 10, 30, 54, 78)(11, 41, 65, 89, 17, 35, 59, 83)(12, 42, 66, 90, 18, 36, 60, 84)(13, 43, 67, 91, 19, 37, 61, 85)(14, 44, 68, 92, 20, 38, 62, 86)(15, 45, 69, 93, 21, 39, 63, 87)(16, 46, 70, 94, 22, 40, 64, 88)(23, 48, 72, 96, 24, 47, 71, 95)
	L = (1, 51)(2, 55)(3, 53)(4, 61)(5, 49)(6, 64)(7, 57)(8, 67)(9, 50)(10, 70)(11, 54)(12, 71)(13, 62)(14, 52)(15, 60)(16, 59)(17, 58)(18, 72)(19, 68)(20, 56)(21, 66)(22, 65)(23, 63)(24, 69)(25, 78)(26, 82)(27, 84)(28, 73)(29, 85)(30, 76)(31, 90)(32, 74)(33, 91)(34, 80)(35, 75)(36, 83)(37, 87)(38, 88)(39, 77)(40, 95)(41, 79)(42, 89)(43, 93)(44, 94)(45, 81)(46, 96)(47, 86)(48, 92)
	local type(s) :: { ( 8^8 ) }
Outer automorphisms :: reflexible
Dual of E13.71
Transitivity :: VT+
Graph::
	v = 12 e = 48 f = 12
	degree seq :: [ 8^12 ]

E13.68 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {2, 2})
Quotient :: toric
Aut^+ = C2 x A4 (small group id <24, 13>)
Aut   = C2 x C2 x A4 (small group id <48, 49>)
|r| :: 2
Presentation :: [ Z^2, S^2, B * A, (S * Z)^2, S * B * S * A, B^2 * A^-4, Z * A * Z * A * Z * A^-2, Z * B * Z * B * Z * B^-2, Z * A^2 * Z * A^-1 * Z * A^-1, Z * B^2 * Z * B^-1 * Z * B^-1, Z * B * Z * A * B^-1 * Z * A^-1, A * Z * B * Z * A^-1 * Z * B^-1, Z * A * Z * B * A^-1 * Z * B^-1 ]
Map:: non-degenerate
	R = (1, 26, 50, 74, 2, 25, 49, 73)(3, 31, 55, 79, 7, 27, 51, 75)(4, 33, 57, 81, 9, 28, 52, 76)(5, 35, 59, 83, 11, 29, 53, 77)(6, 37, 61, 85, 13, 30, 54, 78)(8, 41, 65, 89, 17, 32, 56, 80)(10, 45, 69, 93, 21, 34, 58, 82)(12, 39, 63, 87, 15, 36, 60, 84)(14, 44, 68, 92, 20, 38, 62, 86)(16, 43, 67, 91, 19, 40, 64, 88)(18, 46, 70, 94, 22, 42, 66, 90)(23, 48, 72, 96, 24, 47, 71, 95)
	L = (1, 51)(2, 53)(3, 56)(4, 49)(5, 60)(6, 50)(7, 63)(8, 66)(9, 67)(10, 52)(11, 65)(12, 70)(13, 64)(14, 54)(15, 71)(16, 55)(17, 72)(18, 58)(19, 59)(20, 57)(21, 61)(22, 62)(23, 69)(24, 68)(25, 75)(26, 77)(27, 80)(28, 73)(29, 84)(30, 74)(31, 87)(32, 90)(33, 91)(34, 76)(35, 89)(36, 94)(37, 88)(38, 78)(39, 95)(40, 79)(41, 96)(42, 82)(43, 83)(44, 81)(45, 85)(46, 86)(47, 93)(48, 92)
	local type(s) :: { ( 8^8 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph:: bipartite
	v = 12 e = 48 f = 12
	degree seq :: [ 8^12 ]

E13.69 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {2, 2})
Quotient :: toric
Aut^+ = C2 x A4 (small group id <24, 13>)
Aut   = C2 x C2 x A4 (small group id <48, 49>)
|r| :: 2
Presentation :: [ Z^2, S^2, A^-1 * B^-1, A * B^-2, S * A * S * B, (S * Z)^2, Z * B * Z * B^-1 * Z * A^-1 * Z * B^-1 ]
Map:: non-degenerate
	R = (1, 26, 50, 74, 2, 25, 49, 73)(3, 31, 55, 79, 7, 27, 51, 75)(4, 32, 56, 80, 8, 28, 52, 76)(5, 33, 57, 81, 9, 29, 53, 77)(6, 34, 58, 82, 10, 30, 54, 78)(11, 43, 67, 91, 19, 35, 59, 83)(12, 40, 64, 88, 16, 36, 60, 84)(13, 41, 65, 89, 17, 37, 61, 85)(14, 44, 68, 92, 20, 38, 62, 86)(15, 45, 69, 93, 21, 39, 63, 87)(18, 46, 70, 94, 22, 42, 66, 90)(23, 48, 72, 96, 24, 47, 71, 95)
	L = (1, 51)(2, 53)(3, 52)(4, 49)(5, 54)(6, 50)(7, 59)(8, 61)(9, 63)(10, 65)(11, 60)(12, 55)(13, 62)(14, 56)(15, 64)(16, 57)(17, 66)(18, 58)(19, 71)(20, 67)(21, 72)(22, 69)(23, 68)(24, 70)(25, 75)(26, 77)(27, 76)(28, 73)(29, 78)(30, 74)(31, 83)(32, 85)(33, 87)(34, 89)(35, 84)(36, 79)(37, 86)(38, 80)(39, 88)(40, 81)(41, 90)(42, 82)(43, 95)(44, 91)(45, 96)(46, 93)(47, 92)(48, 94)
	local type(s) :: { ( 8^8 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph::
	v = 12 e = 48 f = 12
	degree seq :: [ 8^12 ]

E13.70 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {2, 2})
Quotient :: toric
Aut^+ = C2 x A4 (small group id <24, 13>)
Aut   = C2 x C2 x A4 (small group id <48, 49>)
|r| :: 2
Presentation :: [ Z^2, S^2, A^-1 * B^-1, (S * Z)^2, S * A * S * B, A * Z * A * Z * B^-1 * Z, B^2 * A^-4, B^2 * A^-1 * Z * B * A^-2 * Z, A^2 * Z * A * B^-1 * Z * A^-1 * Z, B * Z * A * Z * A^-1 * Z * B^-1 * Z ]
Map:: non-degenerate
	R = (1, 26, 50, 74, 2, 25, 49, 73)(3, 31, 55, 79, 7, 27, 51, 75)(4, 33, 57, 81, 9, 28, 52, 76)(5, 35, 59, 83, 11, 29, 53, 77)(6, 37, 61, 85, 13, 30, 54, 78)(8, 40, 64, 88, 16, 32, 56, 80)(10, 43, 67, 91, 19, 34, 58, 82)(12, 45, 69, 93, 21, 36, 60, 84)(14, 48, 72, 96, 24, 38, 62, 86)(15, 44, 68, 92, 20, 39, 63, 87)(17, 46, 70, 94, 22, 41, 65, 89)(18, 47, 71, 95, 23, 42, 66, 90)
	L = (1, 51)(2, 53)(3, 56)(4, 49)(5, 60)(6, 50)(7, 61)(8, 65)(9, 66)(10, 52)(11, 57)(12, 70)(13, 71)(14, 54)(15, 55)(16, 68)(17, 58)(18, 72)(19, 69)(20, 59)(21, 63)(22, 62)(23, 67)(24, 64)(25, 75)(26, 77)(27, 80)(28, 73)(29, 84)(30, 74)(31, 85)(32, 89)(33, 90)(34, 76)(35, 81)(36, 94)(37, 95)(38, 78)(39, 79)(40, 92)(41, 82)(42, 96)(43, 93)(44, 83)(45, 87)(46, 86)(47, 91)(48, 88)
	local type(s) :: { ( 8^8 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph::
	v = 12 e = 48 f = 12
	degree seq :: [ 8^12 ]

E13.71 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {2, 2})
Quotient :: toric
Aut^+ = C2 x A4 (small group id <24, 13>)
Aut   = C2 x C2 x A4 (small group id <48, 49>)
|r| :: 2
Presentation :: [ Z^2, S^2, B^3, A^3, (B^-1 * A^-1)^2, S * B * S * A, (S * Z)^2, B * Z * A^-1 * Z * A^-1, B * Z * B * A^-1 * Z, (B^-1 * A^-1 * Z)^2, (A^-1 * B^-1 * Z)^2, (B * A^-1)^3 ]
Map:: polytopal non-degenerate
	R = (1, 26, 50, 74, 2, 25, 49, 73)(3, 35, 59, 83, 11, 27, 51, 75)(4, 38, 62, 86, 14, 28, 52, 76)(5, 41, 65, 89, 17, 29, 53, 77)(6, 43, 67, 91, 19, 30, 54, 78)(7, 42, 66, 90, 18, 31, 55, 79)(8, 37, 61, 85, 13, 32, 56, 80)(9, 44, 68, 92, 20, 33, 57, 81)(10, 40, 64, 88, 16, 34, 58, 82)(12, 45, 69, 93, 21, 36, 60, 84)(15, 46, 70, 94, 22, 39, 63, 87)(23, 48, 72, 96, 24, 47, 71, 95)
	L = (1, 51)(2, 55)(3, 53)(4, 63)(5, 49)(6, 68)(7, 57)(8, 70)(9, 50)(10, 65)(11, 62)(12, 54)(13, 72)(14, 71)(15, 64)(16, 52)(17, 69)(18, 61)(19, 56)(20, 60)(21, 58)(22, 67)(23, 59)(24, 66)(25, 78)(26, 82)(27, 85)(28, 73)(29, 87)(30, 76)(31, 86)(32, 74)(33, 94)(34, 80)(35, 81)(36, 75)(37, 84)(38, 93)(39, 90)(40, 92)(41, 95)(42, 77)(43, 89)(44, 96)(45, 79)(46, 83)(47, 91)(48, 88)
	local type(s) :: { ( 8^8 ) }
Outer automorphisms :: reflexible
Dual of E13.67
Transitivity :: VT+
Graph:: simple
	v = 12 e = 48 f = 12
	degree seq :: [ 8^12 ]

E13.72 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {2, 2})
Quotient :: toric
Aut^+ = C2 x A4 (small group id <24, 13>)
Aut   = C2 x C2 x A4 (small group id <48, 49>)
|r| :: 2
Presentation :: [ Z^2, S^2, B^3, A^3, S * B * S * A, (A * B)^2, (S * Z)^2, B * Z * B * Z * A^-1, A * Z * A * B^-1 * Z, (A^-1 * B^-1 * Z)^2, (B^-1 * A^-1 * Z)^2 ]
Map:: non-degenerate
	R = (1, 26, 50, 74, 2, 25, 49, 73)(3, 35, 59, 83, 11, 27, 51, 75)(4, 38, 62, 86, 14, 28, 52, 76)(5, 41, 65, 89, 17, 29, 53, 77)(6, 43, 67, 91, 19, 30, 54, 78)(7, 40, 64, 88, 16, 31, 55, 79)(8, 44, 68, 92, 20, 32, 56, 80)(9, 37, 61, 85, 13, 33, 57, 81)(10, 42, 66, 90, 18, 34, 58, 82)(12, 45, 69, 93, 21, 36, 60, 84)(15, 46, 70, 94, 22, 39, 63, 87)(23, 48, 72, 96, 24, 47, 71, 95)
	L = (1, 51)(2, 55)(3, 53)(4, 63)(5, 49)(6, 68)(7, 57)(8, 70)(9, 50)(10, 62)(11, 56)(12, 54)(13, 72)(14, 69)(15, 64)(16, 52)(17, 71)(18, 61)(19, 65)(20, 60)(21, 58)(22, 59)(23, 67)(24, 66)(25, 78)(26, 82)(27, 85)(28, 73)(29, 87)(30, 76)(31, 89)(32, 74)(33, 94)(34, 80)(35, 86)(36, 75)(37, 84)(38, 95)(39, 90)(40, 92)(41, 93)(42, 77)(43, 81)(44, 96)(45, 79)(46, 91)(47, 83)(48, 88)
	local type(s) :: { ( 8^8 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph:: simple
	v = 12 e = 48 f = 12
	degree seq :: [ 8^12 ]

E13.73 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {14, 14, 14, 14})
Quotient :: dipole
Aut^+ = C14 (small group id <14, 2>)
Aut   = D28 (small group id <28, 3>)
|r| :: 2
Presentation :: [ Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, R^2, Y2^3 * Y1^-1, (R * Y1)^2, (R * Y3)^2, Y1 * Y2^-1 * Y1^4, (R * Y2 * Y3^-1)^2, (Y3^-1 * Y1^-1)^14, (Y3 * Y2^-1)^14 ]
Map::
	R = (1, 15, 2, 16, 6, 20, 12, 26, 9, 23, 3, 17, 7, 21, 13, 27, 11, 25, 5, 19, 8, 22, 14, 28, 10, 24, 4, 18)(29, 43, 31, 45, 36, 50, 30, 44, 35, 49, 42, 56, 34, 48, 41, 55, 38, 52, 40, 54, 39, 53, 32, 46, 37, 51, 33, 47)
	L = (1, 29)(2, 30)(3, 31)(4, 32)(5, 33)(6, 34)(7, 35)(8, 36)(9, 37)(10, 38)(11, 39)(12, 40)(13, 41)(14, 42)(15, 43)(16, 44)(17, 45)(18, 46)(19, 47)(20, 48)(21, 49)(22, 50)(23, 51)(24, 52)(25, 53)(26, 54)(27, 55)(28, 56)
	local type(s) :: { ( 28^28 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 2 e = 28 f = 2
	degree seq :: [ 28^2 ]

E13.74 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {14, 14, 14, 14})
Quotient :: dipole
Aut^+ = C14 (small group id <14, 2>)
Aut   = D28 (small group id <28, 3>)
|r| :: 2
Presentation :: [ Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, R^2, Y2^-3 * Y1^-1, (R * Y3)^2, (Y2^-1, Y1), (R * Y1)^2, Y1^-1 * Y2^-1 * Y1^-4, (R * Y2 * Y3^-1)^2, (Y1^-2 * Y2)^2, (Y3^-1 * Y1^-1)^14, (Y3 * Y2^-1)^14 ]
Map::
	R = (1, 15, 2, 16, 6, 20, 12, 26, 9, 23, 5, 19, 8, 22, 14, 28, 10, 24, 3, 17, 7, 21, 13, 27, 11, 25, 4, 18)(29, 43, 31, 45, 37, 51, 32, 46, 38, 52, 40, 54, 39, 53, 42, 56, 34, 48, 41, 55, 36, 50, 30, 44, 35, 49, 33, 47)
	L = (1, 29)(2, 30)(3, 31)(4, 32)(5, 33)(6, 34)(7, 35)(8, 36)(9, 37)(10, 38)(11, 39)(12, 40)(13, 41)(14, 42)(15, 43)(16, 44)(17, 45)(18, 46)(19, 47)(20, 48)(21, 49)(22, 50)(23, 51)(24, 52)(25, 53)(26, 54)(27, 55)(28, 56)
	local type(s) :: { ( 28^28 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 2 e = 28 f = 2
	degree seq :: [ 28^2 ]

E13.75 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {14, 14, 14, 14})
Quotient :: dipole
Aut^+ = C14 (small group id <14, 2>)
Aut   = D28 (small group id <28, 3>)
|r| :: 2
Presentation :: [ R^2, Y1^-2 * Y3^-1, Y2^-1 * Y1^-1 * Y2^-2, Y3^-2 * Y2^-2, (Y2^-1, Y1^-1), Y1 * Y2 * Y3^-2, (R * Y3)^2, (R * Y1)^2, (Y3, Y2^-1), (R * Y2)^2, Y2^-1 * Y3^2 * Y1^-1, Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 15, 2, 16, 7, 21, 10, 24, 11, 25, 6, 20, 9, 23, 12, 26, 13, 27, 3, 17, 8, 22, 14, 28, 4, 18, 5, 19)(29, 43, 31, 45, 39, 53, 33, 47, 41, 55, 38, 52, 32, 46, 40, 54, 35, 49, 42, 56, 37, 51, 30, 44, 36, 50, 34, 48)
	L = (1, 32)(2, 33)(3, 40)(4, 36)(5, 42)(6, 38)(7, 29)(8, 41)(9, 39)(10, 30)(11, 35)(12, 34)(13, 37)(14, 31)(15, 43)(16, 44)(17, 45)(18, 46)(19, 47)(20, 48)(21, 49)(22, 50)(23, 51)(24, 52)(25, 53)(26, 54)(27, 55)(28, 56)
	local type(s) :: { ( 28^28 ) }
Outer automorphisms :: reflexible
Dual of E13.76
Graph:: bipartite
	v = 2 e = 28 f = 2
	degree seq :: [ 28^2 ]

E13.76 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {14, 14, 14, 14})
Quotient :: dipole
Aut^+ = C14 (small group id <14, 2>)
Aut   = D28 (small group id <28, 3>)
|r| :: 2
Presentation :: [ R^2, Y2^-1 * Y1^-1 * Y3, Y1 * Y3^-1 * Y2, Y1 * Y2^-1 * Y1^2, (R * Y2)^2, Y3 * Y2^2 * Y3, (R * Y1)^2, (R * Y3)^2, Y3^14 ]
Map:: non-degenerate
	R = (1, 15, 2, 16, 8, 22, 3, 17, 4, 18, 9, 23, 11, 25, 12, 26, 13, 27, 14, 28, 7, 21, 6, 20, 10, 24, 5, 19)(29, 43, 31, 45, 39, 53, 42, 56, 38, 52, 30, 44, 32, 46, 40, 54, 35, 49, 33, 47, 36, 50, 37, 51, 41, 55, 34, 48)
	L = (1, 32)(2, 37)(3, 40)(4, 41)(5, 31)(6, 30)(7, 29)(8, 39)(9, 42)(10, 36)(11, 35)(12, 34)(13, 38)(14, 33)(15, 43)(16, 44)(17, 45)(18, 46)(19, 47)(20, 48)(21, 49)(22, 50)(23, 51)(24, 52)(25, 53)(26, 54)(27, 55)(28, 56)
	local type(s) :: { ( 28^28 ) }
Outer automorphisms :: reflexible
Dual of E13.75
Graph:: bipartite
	v = 2 e = 28 f = 2
	degree seq :: [ 28^2 ]

E13.77 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {5, 15, 15, 15})
Quotient :: dipole
Aut^+ = C15 (small group id <15, 1>)
Aut   = D30 (small group id <30, 3>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y2 * Y3, Y1 * Y3 * Y2, Y3^3, Y1 * Y3^-1 * Y2 * Y3^-1, (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, Y1^5, Y1^2 * Y2^-3, Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y3^-1 * Y1 * Y2^-1 * Y1 ]
Map:: non-degenerate
	R = (1, 16, 2, 17, 8, 23, 14, 29, 5, 20)(3, 18, 7, 22, 10, 25, 15, 30, 12, 27)(4, 19, 6, 21, 9, 24, 11, 26, 13, 28)(31, 46, 33, 48, 41, 56, 38, 53, 40, 55, 34, 49, 35, 50, 42, 57, 39, 54, 32, 47, 37, 52, 43, 58, 44, 59, 45, 60, 36, 51)
	L = (1, 34)(2, 36)(3, 35)(4, 37)(5, 43)(6, 40)(7, 31)(8, 39)(9, 45)(10, 32)(11, 42)(12, 44)(13, 33)(14, 41)(15, 38)(16, 46)(17, 47)(18, 48)(19, 49)(20, 50)(21, 51)(22, 52)(23, 53)(24, 54)(25, 55)(26, 56)(27, 57)(28, 58)(29, 59)(30, 60)
	local type(s) :: { ( 30^10 ), ( 30^30 ) }
Outer automorphisms :: reflexible
Dual of E13.83
Graph:: bipartite
	v = 4 e = 30 f = 2
	degree seq :: [ 10^3, 30 ]

E13.78 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {5, 15, 15, 15})
Quotient :: dipole
Aut^+ = C15 (small group id <15, 1>)
Aut   = D30 (small group id <30, 3>)
|r| :: 2
Presentation :: [ R^2, Y3^3, Y1^-1 * Y3^-1 * Y2^2, Y2^-2 * Y1 * Y3, (Y3^-1, Y1^-1), Y1^-1 * Y2^-3, Y1 * Y2^-1 * Y3 * Y2^-1, (R * Y1)^2, (R * Y2)^2, Y1^-1 * Y3^-1 * Y2^-1 * Y1^-1, (R * Y3)^2, Y2 * Y3 * Y2 * Y3 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 16, 2, 17, 8, 23, 13, 28, 5, 20)(3, 18, 9, 24, 7, 22, 12, 27, 14, 29)(4, 19, 10, 25, 6, 21, 11, 26, 15, 30)(31, 46, 33, 48, 40, 55, 35, 50, 44, 59, 34, 49, 43, 58, 42, 57, 45, 60, 38, 53, 37, 52, 41, 56, 32, 47, 39, 54, 36, 51)
	L = (1, 34)(2, 40)(3, 43)(4, 37)(5, 45)(6, 44)(7, 31)(8, 36)(9, 35)(10, 42)(11, 33)(12, 32)(13, 41)(14, 38)(15, 39)(16, 46)(17, 47)(18, 48)(19, 49)(20, 50)(21, 51)(22, 52)(23, 53)(24, 54)(25, 55)(26, 56)(27, 57)(28, 58)(29, 59)(30, 60)
	local type(s) :: { ( 30^10 ), ( 30^30 ) }
Outer automorphisms :: reflexible
Dual of E13.84
Graph:: bipartite
	v = 4 e = 30 f = 2
	degree seq :: [ 10^3, 30 ]

E13.79 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {5, 15, 15, 15})
Quotient :: dipole
Aut^+ = C15 (small group id <15, 1>)
Aut   = D30 (small group id <30, 3>)
|r| :: 2
Presentation :: [ R^2, Y3^3, Y3^-1 * Y2^2 * Y1, Y3 * Y1^-1 * Y2 * Y1^-1, (Y2^-1, Y1), (R * Y3)^2, Y3 * Y2^-2 * Y1^-1, Y3 * Y1^-2 * Y2, Y1^-1 * Y2^-1 * Y3 * Y2^-1, (R * Y2)^2, (R * Y1)^2, Y2 * Y3 * Y2 * Y3 * Y1, Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y2^-1 * Y3^-1 * Y1 ]
Map:: non-degenerate
	R = (1, 16, 2, 17, 8, 23, 14, 29, 5, 20)(3, 18, 9, 24, 15, 30, 7, 22, 12, 27)(4, 19, 10, 25, 13, 28, 6, 21, 11, 26)(31, 46, 33, 48, 41, 56, 32, 47, 39, 54, 34, 49, 38, 53, 45, 60, 40, 55, 44, 59, 37, 52, 43, 58, 35, 50, 42, 57, 36, 51)
	L = (1, 34)(2, 40)(3, 38)(4, 37)(5, 41)(6, 39)(7, 31)(8, 43)(9, 44)(10, 42)(11, 45)(12, 32)(13, 33)(14, 36)(15, 35)(16, 46)(17, 47)(18, 48)(19, 49)(20, 50)(21, 51)(22, 52)(23, 53)(24, 54)(25, 55)(26, 56)(27, 57)(28, 58)(29, 59)(30, 60)
	local type(s) :: { ( 30^10 ), ( 30^30 ) }
Outer automorphisms :: reflexible
Dual of E13.82
Graph:: bipartite
	v = 4 e = 30 f = 2
	degree seq :: [ 10^3, 30 ]

E13.80 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {5, 15, 15, 15})
Quotient :: dipole
Aut^+ = C15 (small group id <15, 1>)
Aut   = D30 (small group id <30, 3>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y2, (Y2^-1, Y1^-1), (R * Y3)^2, (Y1, Y3^-1), (R * Y1)^2, Y2^-3 * Y1^2, Y3 * Y1 * Y3 * Y1 * Y2^-1, Y1^5, (Y3 * Y2^-1)^15 ]
Map:: non-degenerate
	R = (1, 16, 2, 17, 6, 21, 13, 28, 5, 20)(3, 18, 7, 22, 14, 29, 11, 26, 10, 25)(4, 19, 8, 23, 9, 24, 15, 30, 12, 27)(31, 46, 33, 48, 39, 54, 36, 51, 44, 59, 42, 57, 35, 50, 40, 55, 38, 53, 32, 47, 37, 52, 45, 60, 43, 58, 41, 56, 34, 49)
	L = (1, 34)(2, 38)(3, 31)(4, 41)(5, 42)(6, 39)(7, 32)(8, 40)(9, 33)(10, 35)(11, 43)(12, 44)(13, 45)(14, 36)(15, 37)(16, 46)(17, 47)(18, 48)(19, 49)(20, 50)(21, 51)(22, 52)(23, 53)(24, 54)(25, 55)(26, 56)(27, 57)(28, 58)(29, 59)(30, 60)
	local type(s) :: { ( 30^10 ), ( 30^30 ) }
Outer automorphisms :: reflexible
Dual of E13.86
Graph:: bipartite
	v = 4 e = 30 f = 2
	degree seq :: [ 10^3, 30 ]

E13.81 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {5, 15, 15, 15})
Quotient :: dipole
Aut^+ = C15 (small group id <15, 1>)
Aut   = D30 (small group id <30, 3>)
|r| :: 2
Presentation :: [ R^2, Y2^-2 * Y3, Y1^-1 * Y3^-1 * Y1^-1 * Y2^-1, Y3^2 * Y1^-1 * Y3, Y1^-1 * Y2^-1 * Y3^-1 * Y1^-1, (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, (Y3^-1, Y1^-1), (Y2^-1, Y1^-1), Y2^-1 * Y3^-1 * Y1^3, Y2^-1 * Y3^-1 * Y2^-1 * Y1 * Y3^-1 ]
Map:: non-degenerate
	R = (1, 16, 2, 17, 8, 23, 13, 28, 5, 20)(3, 18, 9, 24, 7, 22, 12, 27, 14, 29)(4, 19, 10, 25, 6, 21, 11, 26, 15, 30)(31, 46, 33, 48, 34, 49, 43, 58, 42, 57, 41, 56, 32, 47, 39, 54, 40, 55, 35, 50, 44, 59, 45, 60, 38, 53, 37, 52, 36, 51)
	L = (1, 34)(2, 40)(3, 43)(4, 42)(5, 45)(6, 33)(7, 31)(8, 36)(9, 35)(10, 44)(11, 39)(12, 32)(13, 41)(14, 38)(15, 37)(16, 46)(17, 47)(18, 48)(19, 49)(20, 50)(21, 51)(22, 52)(23, 53)(24, 54)(25, 55)(26, 56)(27, 57)(28, 58)(29, 59)(30, 60)
	local type(s) :: { ( 30^10 ), ( 30^30 ) }
Outer automorphisms :: reflexible
Dual of E13.85
Graph:: bipartite
	v = 4 e = 30 f = 2
	degree seq :: [ 10^3, 30 ]

E13.82 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {5, 15, 15, 15})
Quotient :: dipole
Aut^+ = C15 (small group id <15, 1>)
Aut   = D30 (small group id <30, 3>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y2^-2, Y3^3, Y3^-1 * Y1^-2 * Y2, (Y3^-1, Y2), (Y1, Y3^-1), Y1^2 * Y2^-1 * Y3, Y1 * Y3 * Y1 * Y2^-1, (R * Y3)^2, (R * Y2)^2, (R * Y1)^2, (Y2^-1 * Y3)^15 ]
Map:: non-degenerate
	R = (1, 16, 2, 17, 8, 23, 15, 30, 13, 28, 4, 19, 9, 24, 3, 18, 6, 21, 10, 25, 7, 22, 11, 26, 12, 27, 14, 29, 5, 20)(31, 46, 33, 48, 35, 50, 39, 54, 44, 59, 34, 49, 42, 57, 43, 58, 41, 56, 45, 60, 37, 52, 38, 53, 40, 55, 32, 47, 36, 51)
	L = (1, 34)(2, 39)(3, 42)(4, 37)(5, 43)(6, 44)(7, 31)(8, 33)(9, 41)(10, 35)(11, 32)(12, 38)(13, 40)(14, 45)(15, 36)(16, 46)(17, 47)(18, 48)(19, 49)(20, 50)(21, 51)(22, 52)(23, 53)(24, 54)(25, 55)(26, 56)(27, 57)(28, 58)(29, 59)(30, 60)
	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 ) }
Outer automorphisms :: reflexible
Dual of E13.79
Graph:: bipartite
	v = 2 e = 30 f = 4
	degree seq :: [ 30^2 ]

E13.83 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {5, 15, 15, 15})
Quotient :: dipole
Aut^+ = C15 (small group id <15, 1>)
Aut   = D30 (small group id <30, 3>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y2 * Y3^-1, Y1 * Y3^-1 * Y2, Y3^3, (R * Y1)^2, (R * Y3)^2, Y1 * Y3 * Y2 * Y3, (R * Y2)^2, Y1 * Y2^-1 * Y1^3, Y1 * Y2^-4 ]
Map:: non-degenerate
	R = (1, 16, 2, 17, 8, 23, 13, 28, 3, 18, 4, 19, 9, 24, 15, 30, 11, 26, 12, 27, 7, 22, 6, 21, 10, 25, 14, 29, 5, 20)(31, 46, 33, 48, 41, 56, 40, 55, 32, 47, 34, 49, 42, 57, 44, 59, 38, 53, 39, 54, 37, 52, 35, 50, 43, 58, 45, 60, 36, 51)
	L = (1, 34)(2, 39)(3, 42)(4, 37)(5, 33)(6, 32)(7, 31)(8, 45)(9, 36)(10, 38)(11, 44)(12, 35)(13, 41)(14, 43)(15, 40)(16, 46)(17, 47)(18, 48)(19, 49)(20, 50)(21, 51)(22, 52)(23, 53)(24, 54)(25, 55)(26, 56)(27, 57)(28, 58)(29, 59)(30, 60)
	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 ) }
Outer automorphisms :: reflexible
Dual of E13.77
Graph:: bipartite
	v = 2 e = 30 f = 4
	degree seq :: [ 30^2 ]

E13.84 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {5, 15, 15, 15})
Quotient :: dipole
Aut^+ = C15 (small group id <15, 1>)
Aut   = D30 (small group id <30, 3>)
|r| :: 2
Presentation :: [ R^2, Y2^-1 * Y1^-2, Y3^3, Y1 * Y2^-1 * Y3^-1 * Y2^-1, Y1^-1 * Y2 * Y3 * Y2, Y2 * Y3 * Y1^-1 * Y2, (Y3^-1, Y2^-1), (R * Y2)^2, Y3 * Y2^2 * Y1^-1, (R * Y1)^2, (R * Y3)^2, (Y3^-1 * Y1^-1)^5, Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 16, 2, 17, 6, 21, 9, 24, 13, 28, 4, 19, 8, 23, 14, 29, 12, 27, 15, 30, 7, 22, 10, 25, 11, 26, 3, 18, 5, 20)(31, 46, 33, 48, 40, 55, 45, 60, 44, 59, 34, 49, 39, 54, 32, 47, 35, 50, 41, 56, 37, 52, 42, 57, 38, 53, 43, 58, 36, 51)
	L = (1, 34)(2, 38)(3, 39)(4, 37)(5, 43)(6, 44)(7, 31)(8, 40)(9, 42)(10, 32)(11, 36)(12, 33)(13, 45)(14, 41)(15, 35)(16, 46)(17, 47)(18, 48)(19, 49)(20, 50)(21, 51)(22, 52)(23, 53)(24, 54)(25, 55)(26, 56)(27, 57)(28, 58)(29, 59)(30, 60)
	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 ) }
Outer automorphisms :: reflexible
Dual of E13.78
Graph:: bipartite
	v = 2 e = 30 f = 4
	degree seq :: [ 30^2 ]

E13.85 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {5, 15, 15, 15})
Quotient :: dipole
Aut^+ = C15 (small group id <15, 1>)
Aut   = D30 (small group id <30, 3>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y2, Y1 * Y2^2, R * Y2 * R * Y3^-1, (R * Y1)^2, Y2 * Y1^-7, (Y3^-1 * Y1^-1)^5 ]
Map:: non-degenerate
	R = (1, 16, 2, 17, 6, 21, 10, 25, 14, 29, 12, 27, 8, 23, 3, 18, 4, 19, 7, 22, 11, 26, 15, 30, 13, 28, 9, 24, 5, 20)(31, 46, 33, 48, 35, 50, 38, 53, 39, 54, 42, 57, 43, 58, 44, 59, 45, 60, 40, 55, 41, 56, 36, 51, 37, 52, 32, 47, 34, 49)
	L = (1, 34)(2, 37)(3, 31)(4, 32)(5, 33)(6, 41)(7, 36)(8, 35)(9, 38)(10, 45)(11, 40)(12, 39)(13, 42)(14, 43)(15, 44)(16, 46)(17, 47)(18, 48)(19, 49)(20, 50)(21, 51)(22, 52)(23, 53)(24, 54)(25, 55)(26, 56)(27, 57)(28, 58)(29, 59)(30, 60)
	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 ) }
Outer automorphisms :: reflexible
Dual of E13.81
Graph:: bipartite
	v = 2 e = 30 f = 4
	degree seq :: [ 30^2 ]

E13.86 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {5, 15, 15, 15})
Quotient :: dipole
Aut^+ = C15 (small group id <15, 1>)
Aut   = D30 (small group id <30, 3>)
|r| :: 2
Presentation :: [ R^2, Y2^-1 * Y3^-1, Y3^-2 * Y2^-2, Y3^-2 * Y2^-2, (R * Y1)^2, (R * Y3)^2, (Y3^-1, Y1^-1), (Y2^-1, Y1^-1), Y1^-1 * Y2^2 * Y3^-2, Y1 * Y3 * Y1^3, Y3 * Y1 * Y2^-3, (Y3 * Y2^-1)^15 ]
Map:: non-degenerate
	R = (1, 16, 2, 17, 6, 21, 10, 25, 3, 18, 7, 22, 14, 29, 11, 26, 9, 24, 15, 30, 12, 27, 4, 19, 8, 23, 13, 28, 5, 20)(31, 46, 33, 48, 39, 54, 38, 53, 32, 47, 37, 52, 45, 60, 43, 58, 36, 51, 44, 59, 42, 57, 35, 50, 40, 55, 41, 56, 34, 49)
	L = (1, 34)(2, 38)(3, 31)(4, 41)(5, 42)(6, 43)(7, 32)(8, 39)(9, 33)(10, 35)(11, 40)(12, 44)(13, 45)(14, 36)(15, 37)(16, 46)(17, 47)(18, 48)(19, 49)(20, 50)(21, 51)(22, 52)(23, 53)(24, 54)(25, 55)(26, 56)(27, 57)(28, 58)(29, 59)(30, 60)
	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 ) }
Outer automorphisms :: reflexible
Dual of E13.80
Graph:: bipartite
	v = 2 e = 30 f = 4
	degree seq :: [ 30^2 ]

E13.87 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {8, 8, 8, 8})
Quotient :: dipole
Aut^+ = C8 x C2 (small group id <16, 5>)
Aut   = C2 x D16 (small group id <32, 39>)
|r| :: 2
Presentation :: [ R^2, Y1^2 * Y3, Y2 * Y3 * Y2, (Y1^-1 * Y2)^2, (Y1^-1, Y2^-1), (R * Y3)^2, (R * Y1)^2, Y3^4, (R * Y2)^2 ]
Map:: non-degenerate
	R = (1, 17, 2, 18, 7, 23, 10, 26, 12, 28, 13, 29, 4, 20, 5, 21)(3, 19, 8, 24, 11, 27, 16, 32, 14, 30, 15, 31, 6, 22, 9, 25)(33, 49, 35, 51, 39, 55, 43, 59, 44, 60, 46, 62, 36, 52, 38, 54)(34, 50, 40, 56, 42, 58, 48, 64, 45, 61, 47, 63, 37, 53, 41, 57)
	L = (1, 36)(2, 37)(3, 38)(4, 44)(5, 45)(6, 46)(7, 33)(8, 41)(9, 47)(10, 34)(11, 35)(12, 39)(13, 42)(14, 43)(15, 48)(16, 40)(17, 49)(18, 50)(19, 51)(20, 52)(21, 53)(22, 54)(23, 55)(24, 56)(25, 57)(26, 58)(27, 59)(28, 60)(29, 61)(30, 62)(31, 63)(32, 64)
	local type(s) :: { ( 16^16 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 4 e = 32 f = 4
	degree seq :: [ 16^4 ]

E13.88 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {8, 8, 8, 8})
Quotient :: edge^2
Aut^+ = C8 : C2 (small group id <16, 6>)
Aut   = (C2 x D8) : C2 (small group id <32, 43>)
|r| :: 2
Presentation :: [ R^2, Y2^-1 * Y1, (R * Y3)^2, (Y3 * Y1^-1)^2, R * Y2 * R * Y1, Y1^-1 * Y3^-2 * Y1^-1, Y3^8, Y2^8 ]
Map:: non-degenerate
	R = (1, 17, 3, 19, 10, 26, 14, 30, 16, 32, 13, 29, 6, 22, 5, 21)(2, 18, 7, 23, 4, 20, 11, 27, 15, 31, 9, 25, 12, 28, 8, 24)(33, 34, 38, 44, 48, 47, 42, 36)(35, 41, 37, 43, 45, 39, 46, 40)(49, 50, 54, 60, 64, 63, 58, 52)(51, 57, 53, 59, 61, 55, 62, 56)
	L = (1, 33)(2, 34)(3, 35)(4, 36)(5, 37)(6, 38)(7, 39)(8, 40)(9, 41)(10, 42)(11, 43)(12, 44)(13, 45)(14, 46)(15, 47)(16, 48)(17, 49)(18, 50)(19, 51)(20, 52)(21, 53)(22, 54)(23, 55)(24, 56)(25, 57)(26, 58)(27, 59)(28, 60)(29, 61)(30, 62)(31, 63)(32, 64)
	local type(s) :: { ( 32^8 ), ( 32^16 ) }
Outer automorphisms :: reflexible
Dual of E13.90
Graph:: bipartite
	v = 6 e = 32 f = 2
	degree seq :: [ 8^4, 16^2 ]

E13.89 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {8, 8, 8, 8})
Quotient :: edge^2
Aut^+ = C8 : C2 (small group id <16, 6>)
Aut   = (C2 x D8) : C2 (small group id <32, 43>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y1^-1, (Y3^-1 * Y1^-1)^2, (R * Y3)^2, R * Y1 * R * Y2, Y3^2 * Y1^-2, Y1^3 * Y3 * Y1^-1 * Y3, Y3^8, Y2^8 ]
Map:: non-degenerate
	R = (1, 17, 3, 19, 6, 22, 13, 29, 16, 32, 14, 30, 11, 27, 5, 21)(2, 18, 7, 23, 12, 28, 10, 26, 15, 31, 9, 25, 4, 20, 8, 24)(33, 34, 38, 44, 48, 47, 43, 36)(35, 41, 45, 40, 46, 39, 37, 42)(49, 50, 54, 60, 64, 63, 59, 52)(51, 57, 61, 56, 62, 55, 53, 58)
	L = (1, 33)(2, 34)(3, 35)(4, 36)(5, 37)(6, 38)(7, 39)(8, 40)(9, 41)(10, 42)(11, 43)(12, 44)(13, 45)(14, 46)(15, 47)(16, 48)(17, 49)(18, 50)(19, 51)(20, 52)(21, 53)(22, 54)(23, 55)(24, 56)(25, 57)(26, 58)(27, 59)(28, 60)(29, 61)(30, 62)(31, 63)(32, 64)
	local type(s) :: { ( 32^8 ), ( 32^16 ) }
Outer automorphisms :: reflexible
Dual of E13.91
Graph:: bipartite
	v = 6 e = 32 f = 2
	degree seq :: [ 8^4, 16^2 ]

E13.90 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {8, 8, 8, 8})
Quotient :: loop^2
Aut^+ = C8 : C2 (small group id <16, 6>)
Aut   = (C2 x D8) : C2 (small group id <32, 43>)
|r| :: 2
Presentation :: [ R^2, Y2^-1 * Y1, (R * Y3)^2, (Y3 * Y1^-1)^2, R * Y2 * R * Y1, Y1^-1 * Y3^-2 * Y1^-1, Y3^8, Y2^8 ]
Map:: non-degenerate
	R = (1, 17, 33, 49, 3, 19, 35, 51, 10, 26, 42, 58, 14, 30, 46, 62, 16, 32, 48, 64, 13, 29, 45, 61, 6, 22, 38, 54, 5, 21, 37, 53)(2, 18, 34, 50, 7, 23, 39, 55, 4, 20, 36, 52, 11, 27, 43, 59, 15, 31, 47, 63, 9, 25, 41, 57, 12, 28, 44, 60, 8, 24, 40, 56)
	L = (1, 18)(2, 22)(3, 25)(4, 17)(5, 27)(6, 28)(7, 30)(8, 19)(9, 21)(10, 20)(11, 29)(12, 32)(13, 23)(14, 24)(15, 26)(16, 31)(33, 50)(34, 54)(35, 57)(36, 49)(37, 59)(38, 60)(39, 62)(40, 51)(41, 53)(42, 52)(43, 61)(44, 64)(45, 55)(46, 56)(47, 58)(48, 63)
	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 E13.88
Transitivity :: VT+
Graph:: bipartite
	v = 2 e = 32 f = 6
	degree seq :: [ 32^2 ]

E13.91 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {8, 8, 8, 8})
Quotient :: loop^2
Aut^+ = C8 : C2 (small group id <16, 6>)
Aut   = (C2 x D8) : C2 (small group id <32, 43>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y1^-1, (Y3^-1 * Y1^-1)^2, (R * Y3)^2, R * Y1 * R * Y2, Y3^2 * Y1^-2, Y1^3 * Y3 * Y1^-1 * Y3, Y3^8, Y2^8 ]
Map:: non-degenerate
	R = (1, 17, 33, 49, 3, 19, 35, 51, 6, 22, 38, 54, 13, 29, 45, 61, 16, 32, 48, 64, 14, 30, 46, 62, 11, 27, 43, 59, 5, 21, 37, 53)(2, 18, 34, 50, 7, 23, 39, 55, 12, 28, 44, 60, 10, 26, 42, 58, 15, 31, 47, 63, 9, 25, 41, 57, 4, 20, 36, 52, 8, 24, 40, 56)
	L = (1, 18)(2, 22)(3, 25)(4, 17)(5, 26)(6, 28)(7, 21)(8, 30)(9, 29)(10, 19)(11, 20)(12, 32)(13, 24)(14, 23)(15, 27)(16, 31)(33, 50)(34, 54)(35, 57)(36, 49)(37, 58)(38, 60)(39, 53)(40, 62)(41, 61)(42, 51)(43, 52)(44, 64)(45, 56)(46, 55)(47, 59)(48, 63)
	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 E13.89
Transitivity :: VT+
Graph:: bipartite
	v = 2 e = 32 f = 6
	degree seq :: [ 32^2 ]

E13.92 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {8, 8, 8, 8})
Quotient :: dipole
Aut^+ = C8 : C2 (small group id <16, 6>)
Aut   = (C2 x D8) : C2 (small group id <32, 43>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y3 * Y1 * Y2, Y2 * Y1^-2 * Y2, (R * Y1^-1)^2, (R * Y3)^2, Y1 * Y3 * Y2^5 ]
Map:: non-degenerate
	R = (1, 17, 2, 18, 7, 23, 12, 28, 16, 32, 15, 31, 14, 30, 5, 21)(3, 19, 10, 26, 8, 24, 9, 25, 13, 29, 4, 20, 6, 22, 11, 27)(33, 49, 35, 51, 39, 55, 40, 56, 48, 64, 45, 61, 46, 62, 38, 54)(34, 50, 36, 52, 44, 60, 43, 59, 47, 63, 42, 58, 37, 53, 41, 57)
	L = (1, 36)(2, 40)(3, 37)(4, 33)(5, 35)(6, 47)(7, 43)(8, 34)(9, 46)(10, 48)(11, 39)(12, 45)(13, 44)(14, 41)(15, 38)(16, 42)(17, 49)(18, 50)(19, 51)(20, 52)(21, 53)(22, 54)(23, 55)(24, 56)(25, 57)(26, 58)(27, 59)(28, 60)(29, 61)(30, 62)(31, 63)(32, 64)
	local type(s) :: { ( 16^16 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 4 e = 32 f = 4
	degree seq :: [ 16^4 ]

E13.93 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 8, 16, 16})
Quotient :: dipole
Aut^+ = C16 (small group id <16, 1>)
Aut   = D32 (small group id <32, 18>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y2^-2, Y3 * Y2^-1 * Y3, (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, (Y3^-1, Y1), Y1^4, Y1^-1 * Y2^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 17, 2, 18, 8, 24, 5, 21)(3, 19, 9, 25, 13, 29, 6, 22)(4, 20, 10, 26, 15, 31, 12, 28)(7, 23, 11, 27, 16, 32, 14, 30)(33, 49, 35, 51, 34, 50, 41, 57, 40, 56, 45, 61, 37, 53, 38, 54)(36, 52, 43, 59, 42, 58, 48, 64, 47, 63, 46, 62, 44, 60, 39, 55)
	L = (1, 36)(2, 42)(3, 43)(4, 35)(5, 44)(6, 39)(7, 33)(8, 47)(9, 48)(10, 41)(11, 34)(12, 38)(13, 46)(14, 37)(15, 45)(16, 40)(17, 49)(18, 50)(19, 51)(20, 52)(21, 53)(22, 54)(23, 55)(24, 56)(25, 57)(26, 58)(27, 59)(28, 60)(29, 61)(30, 62)(31, 63)(32, 64)
	local type(s) :: { ( 32^8 ), ( 32^16 ) }
Outer automorphisms :: reflexible
Dual of E13.111
Graph:: bipartite
	v = 6 e = 32 f = 2
	degree seq :: [ 8^4, 16^2 ]

E13.94 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 8, 16, 16})
Quotient :: dipole
Aut^+ = C16 (small group id <16, 1>)
Aut   = D32 (small group id <32, 18>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y2^2, Y3 * Y2^-1 * Y3, (R * Y3)^2, (R * Y2)^2, Y1^4, (R * Y1)^2, (Y3, Y1^-1), Y1^-1 * Y3 * Y2 * Y1^-2 * Y3 ]
Map:: non-degenerate
	R = (1, 17, 2, 18, 8, 24, 5, 21)(3, 19, 6, 22, 10, 26, 13, 29)(4, 20, 9, 25, 15, 31, 14, 30)(7, 23, 11, 27, 16, 32, 12, 28)(33, 49, 35, 51, 37, 53, 45, 61, 40, 56, 42, 58, 34, 50, 38, 54)(36, 52, 44, 60, 46, 62, 48, 64, 47, 63, 43, 59, 41, 57, 39, 55)
	L = (1, 36)(2, 41)(3, 44)(4, 35)(5, 46)(6, 39)(7, 33)(8, 47)(9, 38)(10, 43)(11, 34)(12, 37)(13, 48)(14, 45)(15, 42)(16, 40)(17, 49)(18, 50)(19, 51)(20, 52)(21, 53)(22, 54)(23, 55)(24, 56)(25, 57)(26, 58)(27, 59)(28, 60)(29, 61)(30, 62)(31, 63)(32, 64)
	local type(s) :: { ( 32^8 ), ( 32^16 ) }
Outer automorphisms :: reflexible
Dual of E13.112
Graph:: bipartite
	v = 6 e = 32 f = 2
	degree seq :: [ 8^4, 16^2 ]

E13.95 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 8, 16, 16})
Quotient :: dipole
Aut^+ = C16 (small group id <16, 1>)
Aut   = D32 (small group id <32, 18>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1, Y1 * Y2^2, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, Y1^8, (Y3^-1 * Y1^-1)^4, (Y3 * Y2^-1)^16 ]
Map:: non-degenerate
	R = (1, 17, 2, 18, 6, 22, 10, 26, 14, 30, 13, 29, 9, 25, 4, 20)(3, 19, 5, 21, 7, 23, 11, 27, 15, 31, 16, 32, 12, 28, 8, 24)(33, 49, 35, 51, 36, 52, 40, 56, 41, 57, 44, 60, 45, 61, 48, 64, 46, 62, 47, 63, 42, 58, 43, 59, 38, 54, 39, 55, 34, 50, 37, 53)
	L = (1, 34)(2, 38)(3, 37)(4, 33)(5, 39)(6, 42)(7, 43)(8, 35)(9, 36)(10, 46)(11, 47)(12, 40)(13, 41)(14, 45)(15, 48)(16, 44)(17, 49)(18, 50)(19, 51)(20, 52)(21, 53)(22, 54)(23, 55)(24, 56)(25, 57)(26, 58)(27, 59)(28, 60)(29, 61)(30, 62)(31, 63)(32, 64)
	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, 8, 32, 8, 32, 8, 32, 8, 32, 8, 32, 8, 32 ) }
Outer automorphisms :: reflexible
Dual of E13.105
Graph:: bipartite
	v = 3 e = 32 f = 5
	degree seq :: [ 16^2, 32 ]

E13.96 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 8, 16, 16})
Quotient :: dipole
Aut^+ = C16 (small group id <16, 1>)
Aut   = D32 (small group id <32, 18>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y2^2, (Y1, Y2), (Y1^-1, Y3^-1), Y3^-1 * Y1^-3, (R * Y1)^2, (R * Y3)^2, (R * Y2)^2, (Y3 * Y1^-1)^2, Y2 * Y1 * Y2 * Y1 * Y3^-1, Y3 * Y1 * Y2^-1 * Y3 * Y2^-1, Y3^8 ]
Map:: non-degenerate
	R = (1, 17, 2, 18, 8, 24, 7, 23, 12, 28, 4, 20, 10, 26, 5, 21)(3, 19, 9, 25, 15, 31, 14, 30, 16, 32, 6, 22, 11, 27, 13, 29)(33, 49, 35, 51, 39, 55, 46, 62, 42, 58, 43, 59, 34, 50, 41, 57, 44, 60, 48, 64, 37, 53, 45, 61, 40, 56, 47, 63, 36, 52, 38, 54)
	L = (1, 36)(2, 42)(3, 38)(4, 40)(5, 44)(6, 47)(7, 33)(8, 37)(9, 43)(10, 39)(11, 46)(12, 34)(13, 48)(14, 35)(15, 45)(16, 41)(17, 49)(18, 50)(19, 51)(20, 52)(21, 53)(22, 54)(23, 55)(24, 56)(25, 57)(26, 58)(27, 59)(28, 60)(29, 61)(30, 62)(31, 63)(32, 64)
	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, 8, 32, 8, 32, 8, 32, 8, 32, 8, 32, 8, 32 ) }
Outer automorphisms :: reflexible
Dual of E13.110
Graph:: bipartite
	v = 3 e = 32 f = 5
	degree seq :: [ 16^2, 32 ]

E13.97 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 8, 16, 16})
Quotient :: dipole
Aut^+ = C16 (small group id <16, 1>)
Aut   = D32 (small group id <32, 18>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1, Y2 * Y1^-1 * Y2, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, Y1^8, (Y3^-1 * Y1^-1)^4, (Y3 * Y2^-1)^16 ]
Map:: non-degenerate
	R = (1, 17, 2, 18, 6, 22, 10, 26, 14, 30, 12, 28, 8, 24, 4, 20)(3, 19, 7, 23, 11, 27, 15, 31, 16, 32, 13, 29, 9, 25, 5, 21)(33, 49, 35, 51, 34, 50, 39, 55, 38, 54, 43, 59, 42, 58, 47, 63, 46, 62, 48, 64, 44, 60, 45, 61, 40, 56, 41, 57, 36, 52, 37, 53)
	L = (1, 34)(2, 38)(3, 39)(4, 33)(5, 35)(6, 42)(7, 43)(8, 36)(9, 37)(10, 46)(11, 47)(12, 40)(13, 41)(14, 44)(15, 48)(16, 45)(17, 49)(18, 50)(19, 51)(20, 52)(21, 53)(22, 54)(23, 55)(24, 56)(25, 57)(26, 58)(27, 59)(28, 60)(29, 61)(30, 62)(31, 63)(32, 64)
	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, 8, 32, 8, 32, 8, 32, 8, 32, 8, 32, 8, 32 ) }
Outer automorphisms :: reflexible
Dual of E13.103
Graph:: bipartite
	v = 3 e = 32 f = 5
	degree seq :: [ 16^2, 32 ]

E13.98 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 8, 16, 16})
Quotient :: dipole
Aut^+ = C16 (small group id <16, 1>)
Aut   = D32 (small group id <32, 18>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1 * Y2, Y1^2 * Y3^-2, Y1 * Y3 * Y1^2, Y1^-1 * Y3^2 * Y1^-1, Y1 * Y3^3, (R * Y1)^2, (R * Y2)^2, (Y3^-1, Y1^-1), (Y2^-1, Y1^-1), (R * Y3)^2, Y2 * Y1^2 * Y2 * Y1, Y3 * Y1 * Y2 * Y3 * Y2 ]
Map:: non-degenerate
	R = (1, 17, 2, 18, 8, 24, 7, 23, 12, 28, 4, 20, 10, 26, 5, 21)(3, 19, 9, 25, 15, 31, 6, 22, 11, 27, 13, 29, 16, 32, 14, 30)(33, 49, 35, 51, 36, 52, 45, 61, 40, 56, 47, 63, 37, 53, 46, 62, 44, 60, 43, 59, 34, 50, 41, 57, 42, 58, 48, 64, 39, 55, 38, 54)
	L = (1, 36)(2, 42)(3, 45)(4, 40)(5, 44)(6, 35)(7, 33)(8, 37)(9, 48)(10, 39)(11, 41)(12, 34)(13, 47)(14, 43)(15, 46)(16, 38)(17, 49)(18, 50)(19, 51)(20, 52)(21, 53)(22, 54)(23, 55)(24, 56)(25, 57)(26, 58)(27, 59)(28, 60)(29, 61)(30, 62)(31, 63)(32, 64)
	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, 8, 32, 8, 32, 8, 32, 8, 32, 8, 32, 8, 32 ) }
Outer automorphisms :: reflexible
Dual of E13.108
Graph:: bipartite
	v = 3 e = 32 f = 5
	degree seq :: [ 16^2, 32 ]

E13.99 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 8, 16, 16})
Quotient :: dipole
Aut^+ = C16 (small group id <16, 1>)
Aut   = D32 (small group id <32, 18>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y2^-2, (Y1 * Y3^-1)^2, Y3^-3 * Y1^-1, Y3^-2 * Y1^2, Y1^-1 * Y3^-1 * Y1^-2, (Y1 * Y3^-1)^2, (R * Y3)^2, (R * Y1)^2, (Y3^-1, Y2), (R * Y2)^2, Y1 * Y2 * Y3^-2 * Y2 ]
Map:: non-degenerate
	R = (1, 17, 2, 18, 8, 24, 7, 23, 11, 27, 4, 20, 10, 26, 5, 21)(3, 19, 9, 25, 16, 32, 13, 29, 14, 30, 12, 28, 15, 31, 6, 22)(33, 49, 35, 51, 34, 50, 41, 57, 40, 56, 48, 64, 39, 55, 45, 61, 43, 59, 46, 62, 36, 52, 44, 60, 42, 58, 47, 63, 37, 53, 38, 54)
	L = (1, 36)(2, 42)(3, 44)(4, 40)(5, 43)(6, 46)(7, 33)(8, 37)(9, 47)(10, 39)(11, 34)(12, 48)(13, 35)(14, 41)(15, 45)(16, 38)(17, 49)(18, 50)(19, 51)(20, 52)(21, 53)(22, 54)(23, 55)(24, 56)(25, 57)(26, 58)(27, 59)(28, 60)(29, 61)(30, 62)(31, 63)(32, 64)
	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, 8, 32, 8, 32, 8, 32, 8, 32, 8, 32, 8, 32 ) }
Outer automorphisms :: reflexible
Dual of E13.109
Graph:: bipartite
	v = 3 e = 32 f = 5
	degree seq :: [ 16^2, 32 ]

E13.100 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 8, 16, 16})
Quotient :: dipole
Aut^+ = C16 (small group id <16, 1>)
Aut   = D32 (small group id <32, 18>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y1^-1, (Y2^-1 * R)^2, (R * Y3)^2, (Y2^-1, Y1), (R * Y1)^2, Y1 * Y2 * Y1 * Y2 * Y1, Y1^-1 * Y2^3 * Y1^-1 * Y2, (Y3^-1 * Y1^-1)^4, (Y3 * Y2^-1)^16 ]
Map:: non-degenerate
	R = (1, 17, 2, 18, 6, 22, 13, 29, 15, 31, 9, 25, 11, 27, 4, 20)(3, 19, 7, 23, 12, 28, 5, 21, 8, 24, 14, 30, 16, 32, 10, 26)(33, 49, 35, 51, 41, 57, 46, 62, 38, 54, 44, 60, 36, 52, 42, 58, 47, 63, 40, 56, 34, 50, 39, 55, 43, 59, 48, 64, 45, 61, 37, 53)
	L = (1, 34)(2, 38)(3, 39)(4, 33)(5, 40)(6, 45)(7, 44)(8, 46)(9, 43)(10, 35)(11, 36)(12, 37)(13, 47)(14, 48)(15, 41)(16, 42)(17, 49)(18, 50)(19, 51)(20, 52)(21, 53)(22, 54)(23, 55)(24, 56)(25, 57)(26, 58)(27, 59)(28, 60)(29, 61)(30, 62)(31, 63)(32, 64)
	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, 8, 32, 8, 32, 8, 32, 8, 32, 8, 32, 8, 32 ) }
Outer automorphisms :: reflexible
Dual of E13.106
Graph:: bipartite
	v = 3 e = 32 f = 5
	degree seq :: [ 16^2, 32 ]

E13.101 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 8, 16, 16})
Quotient :: dipole
Aut^+ = C16 (small group id <16, 1>)
Aut   = D32 (small group id <32, 18>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y2^2, Y1 * Y3^-2 * Y1, Y1^2 * Y3^-2, Y3^-3 * Y1^-1, (Y3, Y1^-1), (Y3, Y2^-1), (R * Y3)^2, (Y3 * Y1^-1)^2, (R * Y1)^2, (R * Y2)^2, Y3^2 * Y2^-1 * Y3 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 17, 2, 18, 8, 24, 7, 23, 11, 27, 4, 20, 9, 25, 5, 21)(3, 19, 6, 22, 10, 26, 14, 30, 16, 32, 12, 28, 15, 31, 13, 29)(33, 49, 35, 51, 37, 53, 45, 61, 41, 57, 47, 63, 36, 52, 44, 60, 43, 59, 48, 64, 39, 55, 46, 62, 40, 56, 42, 58, 34, 50, 38, 54)
	L = (1, 36)(2, 41)(3, 44)(4, 40)(5, 43)(6, 47)(7, 33)(8, 37)(9, 39)(10, 45)(11, 34)(12, 42)(13, 48)(14, 35)(15, 46)(16, 38)(17, 49)(18, 50)(19, 51)(20, 52)(21, 53)(22, 54)(23, 55)(24, 56)(25, 57)(26, 58)(27, 59)(28, 60)(29, 61)(30, 62)(31, 63)(32, 64)
	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, 8, 32, 8, 32, 8, 32, 8, 32, 8, 32, 8, 32 ) }
Outer automorphisms :: reflexible
Dual of E13.107
Graph:: bipartite
	v = 3 e = 32 f = 5
	degree seq :: [ 16^2, 32 ]

E13.102 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 8, 16, 16})
Quotient :: dipole
Aut^+ = C16 (small group id <16, 1>)
Aut   = D32 (small group id <32, 18>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y1^-1, (R * Y1)^2, (Y2^-1 * R)^2, (Y1, Y2), (R * Y3)^2, Y1^2 * Y2^-1 * Y1 * Y2^-1, Y2^-1 * Y1 * Y3 * Y1 * Y2^-1, (Y3^-1 * Y2^-2)^2, Y2^-1 * Y1^-1 * Y2^-3 * Y1^-1, (Y3 * Y2^-1)^16 ]
Map:: non-degenerate
	R = (1, 17, 2, 18, 6, 22, 9, 25, 15, 31, 13, 29, 11, 27, 4, 20)(3, 19, 7, 23, 14, 30, 16, 32, 12, 28, 5, 21, 8, 24, 10, 26)(33, 49, 35, 51, 41, 57, 48, 64, 43, 59, 40, 56, 34, 50, 39, 55, 47, 63, 44, 60, 36, 52, 42, 58, 38, 54, 46, 62, 45, 61, 37, 53)
	L = (1, 34)(2, 38)(3, 39)(4, 33)(5, 40)(6, 41)(7, 46)(8, 42)(9, 47)(10, 35)(11, 36)(12, 37)(13, 43)(14, 48)(15, 45)(16, 44)(17, 49)(18, 50)(19, 51)(20, 52)(21, 53)(22, 54)(23, 55)(24, 56)(25, 57)(26, 58)(27, 59)(28, 60)(29, 61)(30, 62)(31, 63)(32, 64)
	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, 8, 32, 8, 32, 8, 32, 8, 32, 8, 32, 8, 32 ) }
Outer automorphisms :: reflexible
Dual of E13.104
Graph:: bipartite
	v = 3 e = 32 f = 5
	degree seq :: [ 16^2, 32 ]

E13.103 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 8, 16, 16})
Quotient :: dipole
Aut^+ = C16 (small group id <16, 1>)
Aut   = D32 (small group id <32, 18>)
|r| :: 2
Presentation :: [ R^2, Y1^2 * Y3, Y2^-1 * Y3^2, Y2^-1 * Y1^-1 * Y3 * Y1^-1, (R * Y3)^2, (Y1^-1, Y2), (R * Y1)^2, (R * Y2)^2, Y2^4 ]
Map:: non-degenerate
	R = (1, 17, 2, 18, 7, 23, 10, 26, 6, 22, 9, 25, 14, 30, 16, 32, 11, 27, 15, 31, 12, 28, 13, 29, 3, 19, 8, 24, 4, 20, 5, 21)(33, 49, 35, 51, 43, 59, 38, 54)(34, 50, 40, 56, 47, 63, 41, 57)(36, 52, 44, 60, 46, 62, 39, 55)(37, 53, 45, 61, 48, 64, 42, 58)
	L = (1, 36)(2, 37)(3, 44)(4, 35)(5, 40)(6, 39)(7, 33)(8, 45)(9, 42)(10, 34)(11, 46)(12, 43)(13, 47)(14, 38)(15, 48)(16, 41)(17, 49)(18, 50)(19, 51)(20, 52)(21, 53)(22, 54)(23, 55)(24, 56)(25, 57)(26, 58)(27, 59)(28, 60)(29, 61)(30, 62)(31, 63)(32, 64)
	local type(s) :: { ( 16, 32, 16, 32, 16, 32, 16, 32 ), ( 16, 32, 16, 32, 16, 32, 16, 32, 16, 32, 16, 32, 16, 32, 16, 32, 16, 32, 16, 32, 16, 32, 16, 32, 16, 32, 16, 32, 16, 32, 16, 32 ) }
Outer automorphisms :: reflexible
Dual of E13.97
Graph:: bipartite
	v = 5 e = 32 f = 3
	degree seq :: [ 8^4, 32 ]

E13.104 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 8, 16, 16})
Quotient :: dipole
Aut^+ = C16 (small group id <16, 1>)
Aut   = D32 (small group id <32, 18>)
|r| :: 2
Presentation :: [ R^2, Y1^2 * Y3^-1, Y2 * Y3^-2, (Y1^-1, Y2^-1), (R * Y3)^2, Y2^4, (R * Y1)^2, (R * Y2)^2 ]
Map:: non-degenerate
	R = (1, 17, 2, 18, 4, 20, 9, 25, 3, 19, 8, 24, 12, 28, 16, 32, 11, 27, 15, 31, 14, 30, 13, 29, 6, 22, 10, 26, 7, 23, 5, 21)(33, 49, 35, 51, 43, 59, 38, 54)(34, 50, 40, 56, 47, 63, 42, 58)(36, 52, 44, 60, 46, 62, 39, 55)(37, 53, 41, 57, 48, 64, 45, 61)
	L = (1, 36)(2, 41)(3, 44)(4, 35)(5, 34)(6, 39)(7, 33)(8, 48)(9, 40)(10, 37)(11, 46)(12, 43)(13, 42)(14, 38)(15, 45)(16, 47)(17, 49)(18, 50)(19, 51)(20, 52)(21, 53)(22, 54)(23, 55)(24, 56)(25, 57)(26, 58)(27, 59)(28, 60)(29, 61)(30, 62)(31, 63)(32, 64)
	local type(s) :: { ( 16, 32, 16, 32, 16, 32, 16, 32 ), ( 16, 32, 16, 32, 16, 32, 16, 32, 16, 32, 16, 32, 16, 32, 16, 32, 16, 32, 16, 32, 16, 32, 16, 32, 16, 32, 16, 32, 16, 32, 16, 32 ) }
Outer automorphisms :: reflexible
Dual of E13.102
Graph:: bipartite
	v = 5 e = 32 f = 3
	degree seq :: [ 8^4, 32 ]

E13.105 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 8, 16, 16})
Quotient :: dipole
Aut^+ = C16 (small group id <16, 1>)
Aut   = D32 (small group id <32, 18>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y2^-1 * Y3, (Y1, Y3^-1), Y2^-1 * Y1^-1 * Y3^-1 * Y1^-1, Y1^-1 * Y3^-1 * Y2^-1 * Y1^-1, (R * Y2)^2, (R * Y3)^2, Y2^4, (R * Y1)^2, Y1 * Y2^-1 * Y1 * Y3^-1 * Y2^-1, Y3^-1 * Y2^-1 * Y3^-1 * Y2^-2, Y1^10 * Y3^-1 ]
Map:: non-degenerate
	R = (1, 17, 2, 18, 8, 24, 15, 31, 3, 19, 9, 25, 7, 23, 12, 28, 13, 29, 16, 32, 4, 20, 10, 26, 6, 22, 11, 27, 14, 30, 5, 21)(33, 49, 35, 51, 45, 61, 38, 54)(34, 50, 41, 57, 48, 64, 43, 59)(36, 52, 46, 62, 40, 56, 39, 55)(37, 53, 47, 63, 44, 60, 42, 58)
	L = (1, 36)(2, 42)(3, 46)(4, 35)(5, 48)(6, 39)(7, 33)(8, 38)(9, 37)(10, 41)(11, 44)(12, 34)(13, 40)(14, 45)(15, 43)(16, 47)(17, 49)(18, 50)(19, 51)(20, 52)(21, 53)(22, 54)(23, 55)(24, 56)(25, 57)(26, 58)(27, 59)(28, 60)(29, 61)(30, 62)(31, 63)(32, 64)
	local type(s) :: { ( 16, 32, 16, 32, 16, 32, 16, 32 ), ( 16, 32, 16, 32, 16, 32, 16, 32, 16, 32, 16, 32, 16, 32, 16, 32, 16, 32, 16, 32, 16, 32, 16, 32, 16, 32, 16, 32, 16, 32, 16, 32 ) }
Outer automorphisms :: reflexible
Dual of E13.95
Graph:: bipartite
	v = 5 e = 32 f = 3
	degree seq :: [ 8^4, 32 ]

E13.106 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 8, 16, 16})
Quotient :: dipole
Aut^+ = C16 (small group id <16, 1>)
Aut   = D32 (small group id <32, 18>)
|r| :: 2
Presentation :: [ R^2, Y2^-1 * Y3^2, Y1^2 * Y2^-1 * Y3^-1, (Y3^-1, Y1^-1), Y3 * Y1^-1 * Y2 * Y1^-1, Y2 * Y3 * Y1^-2, (R * Y1)^2, Y2^4, (R * Y3)^2, (R * Y2)^2, Y1 * Y2^2 * Y3 * Y1, Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2^2 ]
Map:: non-degenerate
	R = (1, 17, 2, 18, 8, 24, 15, 31, 6, 22, 11, 27, 4, 20, 10, 26, 13, 29, 16, 32, 7, 23, 12, 28, 3, 19, 9, 25, 14, 30, 5, 21)(33, 49, 35, 51, 45, 61, 38, 54)(34, 50, 41, 57, 48, 64, 43, 59)(36, 52, 40, 56, 46, 62, 39, 55)(37, 53, 44, 60, 42, 58, 47, 63)
	L = (1, 36)(2, 42)(3, 40)(4, 35)(5, 43)(6, 39)(7, 33)(8, 45)(9, 47)(10, 41)(11, 44)(12, 34)(13, 46)(14, 38)(15, 48)(16, 37)(17, 49)(18, 50)(19, 51)(20, 52)(21, 53)(22, 54)(23, 55)(24, 56)(25, 57)(26, 58)(27, 59)(28, 60)(29, 61)(30, 62)(31, 63)(32, 64)
	local type(s) :: { ( 16, 32, 16, 32, 16, 32, 16, 32 ), ( 16, 32, 16, 32, 16, 32, 16, 32, 16, 32, 16, 32, 16, 32, 16, 32, 16, 32, 16, 32, 16, 32, 16, 32, 16, 32, 16, 32, 16, 32, 16, 32 ) }
Outer automorphisms :: reflexible
Dual of E13.100
Graph:: bipartite
	v = 5 e = 32 f = 3
	degree seq :: [ 8^4, 32 ]

E13.107 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 8, 16, 16})
Quotient :: dipole
Aut^+ = C16 (small group id <16, 1>)
Aut   = D32 (small group id <32, 18>)
|r| :: 2
Presentation :: [ R^2, Y1^2 * Y3^-1, Y3^2 * Y2, Y2^-1 * Y1^-1 * Y3^-1 * Y1^-1, (R * Y3)^2, (Y1^-1, Y2^-1), Y2^4, (R * Y1)^2, (R * Y2)^2, (Y3^-1 * Y2)^8 ]
Map:: non-degenerate
	R = (1, 17, 2, 18, 4, 20, 9, 25, 6, 22, 10, 26, 14, 30, 16, 32, 11, 27, 15, 31, 13, 29, 12, 28, 3, 19, 8, 24, 7, 23, 5, 21)(33, 49, 35, 51, 43, 59, 38, 54)(34, 50, 40, 56, 47, 63, 42, 58)(36, 52, 39, 55, 45, 61, 46, 62)(37, 53, 44, 60, 48, 64, 41, 57)
	L = (1, 36)(2, 41)(3, 39)(4, 38)(5, 34)(6, 46)(7, 33)(8, 37)(9, 42)(10, 48)(11, 45)(12, 40)(13, 35)(14, 43)(15, 44)(16, 47)(17, 49)(18, 50)(19, 51)(20, 52)(21, 53)(22, 54)(23, 55)(24, 56)(25, 57)(26, 58)(27, 59)(28, 60)(29, 61)(30, 62)(31, 63)(32, 64)
	local type(s) :: { ( 16, 32, 16, 32, 16, 32, 16, 32 ), ( 16, 32, 16, 32, 16, 32, 16, 32, 16, 32, 16, 32, 16, 32, 16, 32, 16, 32, 16, 32, 16, 32, 16, 32, 16, 32, 16, 32, 16, 32, 16, 32 ) }
Outer automorphisms :: reflexible
Dual of E13.101
Graph:: bipartite
	v = 5 e = 32 f = 3
	degree seq :: [ 8^4, 32 ]

E13.108 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 8, 16, 16})
Quotient :: dipole
Aut^+ = C16 (small group id <16, 1>)
Aut   = D32 (small group id <32, 18>)
|r| :: 2
Presentation :: [ R^2, Y1^2 * Y3, Y3 * Y2 * Y3, (R * Y3)^2, (Y1^-1, Y2^-1), (R * Y1)^2, Y2^4, (R * Y2)^2, (Y3 * Y2^-1)^8 ]
Map:: non-degenerate
	R = (1, 17, 2, 18, 7, 23, 10, 26, 3, 19, 8, 24, 12, 28, 16, 32, 11, 27, 15, 31, 13, 29, 14, 30, 6, 22, 9, 25, 4, 20, 5, 21)(33, 49, 35, 51, 43, 59, 38, 54)(34, 50, 40, 56, 47, 63, 41, 57)(36, 52, 39, 55, 44, 60, 45, 61)(37, 53, 42, 58, 48, 64, 46, 62)
	L = (1, 36)(2, 37)(3, 39)(4, 38)(5, 41)(6, 45)(7, 33)(8, 42)(9, 46)(10, 34)(11, 44)(12, 35)(13, 43)(14, 47)(15, 48)(16, 40)(17, 49)(18, 50)(19, 51)(20, 52)(21, 53)(22, 54)(23, 55)(24, 56)(25, 57)(26, 58)(27, 59)(28, 60)(29, 61)(30, 62)(31, 63)(32, 64)
	local type(s) :: { ( 16, 32, 16, 32, 16, 32, 16, 32 ), ( 16, 32, 16, 32, 16, 32, 16, 32, 16, 32, 16, 32, 16, 32, 16, 32, 16, 32, 16, 32, 16, 32, 16, 32, 16, 32, 16, 32, 16, 32, 16, 32 ) }
Outer automorphisms :: reflexible
Dual of E13.98
Graph:: bipartite
	v = 5 e = 32 f = 3
	degree seq :: [ 8^4, 32 ]

E13.109 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 8, 16, 16})
Quotient :: dipole
Aut^+ = C16 (small group id <16, 1>)
Aut   = D32 (small group id <32, 18>)
|r| :: 2
Presentation :: [ R^2, Y3^2 * Y2, Y2^-1 * Y3 * Y1^-2, (Y3^-1, Y1), (R * Y3)^2, Y1 * Y2 * Y3^-1 * Y1, (R * Y2)^2, Y2 * Y1 * Y3^-1 * Y1, (R * Y1)^2, Y2^4, Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1, Y3 * Y1^2 * Y2^-2, Y1^2 * 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, 17, 2, 18, 8, 24, 14, 30, 3, 19, 9, 25, 4, 20, 10, 26, 13, 29, 16, 32, 7, 23, 12, 28, 6, 22, 11, 27, 15, 31, 5, 21)(33, 49, 35, 51, 45, 61, 38, 54)(34, 50, 41, 57, 48, 64, 43, 59)(36, 52, 39, 55, 47, 63, 40, 56)(37, 53, 46, 62, 42, 58, 44, 60)
	L = (1, 36)(2, 42)(3, 39)(4, 38)(5, 41)(6, 40)(7, 33)(8, 45)(9, 44)(10, 43)(11, 46)(12, 34)(13, 47)(14, 48)(15, 35)(16, 37)(17, 49)(18, 50)(19, 51)(20, 52)(21, 53)(22, 54)(23, 55)(24, 56)(25, 57)(26, 58)(27, 59)(28, 60)(29, 61)(30, 62)(31, 63)(32, 64)
	local type(s) :: { ( 16, 32, 16, 32, 16, 32, 16, 32 ), ( 16, 32, 16, 32, 16, 32, 16, 32, 16, 32, 16, 32, 16, 32, 16, 32, 16, 32, 16, 32, 16, 32, 16, 32, 16, 32, 16, 32, 16, 32, 16, 32 ) }
Outer automorphisms :: reflexible
Dual of E13.99
Graph:: bipartite
	v = 5 e = 32 f = 3
	degree seq :: [ 8^4, 32 ]

E13.110 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 8, 16, 16})
Quotient :: dipole
Aut^+ = C16 (small group id <16, 1>)
Aut   = D32 (small group id <32, 18>)
|r| :: 2
Presentation :: [ R^2, Y2^-1 * Y3^-2, Y3 * Y1 * Y2^-1 * Y1, Y2 * Y3^-1 * Y1^-2, (Y2, Y1^-1), (R * Y1)^2, (R * Y2)^2, (R * Y3)^2, Y2^4, Y2^2 * Y1^2 * Y3^-1, Y2 * Y3^-1 * Y1 * Y2 * Y1, Y1^16 ]
Map:: non-degenerate
	R = (1, 17, 2, 18, 8, 24, 16, 32, 6, 22, 11, 27, 7, 23, 12, 28, 13, 29, 14, 30, 4, 20, 10, 26, 3, 19, 9, 25, 15, 31, 5, 21)(33, 49, 35, 51, 45, 61, 38, 54)(34, 50, 41, 57, 46, 62, 43, 59)(36, 52, 39, 55, 40, 56, 47, 63)(37, 53, 42, 58, 44, 60, 48, 64)
	L = (1, 36)(2, 42)(3, 39)(4, 38)(5, 46)(6, 47)(7, 33)(8, 35)(9, 44)(10, 43)(11, 37)(12, 34)(13, 40)(14, 48)(15, 45)(16, 41)(17, 49)(18, 50)(19, 51)(20, 52)(21, 53)(22, 54)(23, 55)(24, 56)(25, 57)(26, 58)(27, 59)(28, 60)(29, 61)(30, 62)(31, 63)(32, 64)
	local type(s) :: { ( 16, 32, 16, 32, 16, 32, 16, 32 ), ( 16, 32, 16, 32, 16, 32, 16, 32, 16, 32, 16, 32, 16, 32, 16, 32, 16, 32, 16, 32, 16, 32, 16, 32, 16, 32, 16, 32, 16, 32, 16, 32 ) }
Outer automorphisms :: reflexible
Dual of E13.96
Graph:: bipartite
	v = 5 e = 32 f = 3
	degree seq :: [ 8^4, 32 ]

E13.111 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 8, 16, 16})
Quotient :: dipole
Aut^+ = C16 (small group id <16, 1>)
Aut   = D32 (small group id <32, 18>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y1^-1, Y2 * Y1 * Y2^2, (Y3^-1, Y2^-1), (R * Y3)^2, (Y2^-1 * R)^2, (R * Y1)^2, (Y1, Y2^-1), Y1^-1 * Y2 * Y1^-4, Y2^-1 * Y3^2 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1, (Y3^-1 * Y1^-1)^8 ]
Map:: non-degenerate
	R = (1, 17, 2, 18, 6, 22, 12, 28, 10, 26, 3, 19, 7, 23, 13, 29, 16, 32, 15, 31, 9, 25, 5, 21, 8, 24, 14, 30, 11, 27, 4, 20)(33, 49, 35, 51, 41, 57, 36, 52, 42, 58, 47, 63, 43, 59, 44, 60, 48, 64, 46, 62, 38, 54, 45, 61, 40, 56, 34, 50, 39, 55, 37, 53)
	L = (1, 34)(2, 38)(3, 39)(4, 33)(5, 40)(6, 44)(7, 45)(8, 46)(9, 37)(10, 35)(11, 36)(12, 42)(13, 48)(14, 43)(15, 41)(16, 47)(17, 49)(18, 50)(19, 51)(20, 52)(21, 53)(22, 54)(23, 55)(24, 56)(25, 57)(26, 58)(27, 59)(28, 60)(29, 61)(30, 62)(31, 63)(32, 64)
	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 E13.93
Graph:: bipartite
	v = 2 e = 32 f = 6
	degree seq :: [ 32^2 ]

E13.112 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 8, 16, 16})
Quotient :: dipole
Aut^+ = C16 (small group id <16, 1>)
Aut   = D32 (small group id <32, 18>)
|r| :: 2
Presentation :: [ R^2, Y2^-1 * Y3^-1 * Y1^-2, (Y3 * Y1^-1)^2, Y1^-1 * Y3^-1 * Y2^2, (Y3^-1, Y1^-1), Y3^-2 * Y1^2, (R * Y2)^2, Y2^-1 * Y1^-1 * Y3^-1 * Y1^-1, Y2 * Y3^-1 * Y2 * Y1^-1, Y2 * Y3 * Y1^2, (R * Y3)^2, (R * Y1)^2 ]
Map:: non-degenerate
	R = (1, 17, 2, 18, 8, 24, 15, 31, 14, 30, 3, 19, 9, 25, 7, 23, 12, 28, 4, 20, 10, 26, 6, 22, 11, 27, 16, 32, 13, 29, 5, 21)(33, 49, 35, 51, 42, 58, 37, 53, 46, 62, 36, 52, 45, 61, 47, 63, 44, 60, 48, 64, 40, 56, 39, 55, 43, 59, 34, 50, 41, 57, 38, 54)
	L = (1, 36)(2, 42)(3, 45)(4, 40)(5, 44)(6, 46)(7, 33)(8, 38)(9, 37)(10, 47)(11, 35)(12, 34)(13, 39)(14, 48)(15, 43)(16, 41)(17, 49)(18, 50)(19, 51)(20, 52)(21, 53)(22, 54)(23, 55)(24, 56)(25, 57)(26, 58)(27, 59)(28, 60)(29, 61)(30, 62)(31, 63)(32, 64)
	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 E13.94
Graph:: bipartite
	v = 2 e = 32 f = 6
	degree seq :: [ 32^2 ]

E13.113 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {6, 6, 6, 6})
Quotient :: edge^2
Aut^+ = C3 x S3 (small group id <18, 3>)
Aut   = S3 x S3 (small group id <36, 10>)
|r| :: 2
Presentation :: [ R^2, Y2^-1 * Y1, Y1^-2 * Y3^-2, (R * Y3)^2, R * Y2 * R * Y1, Y3^6, Y3^-2 * Y1^4, Y3^-1 * Y1^-1 * Y3 * Y1 * Y3^-1 * Y1^-1, Y2^6, (Y3 * Y1^-1)^3 ]
Map:: non-degenerate
	R = (1, 19, 3, 21, 10, 28, 15, 33, 6, 24, 5, 23)(2, 20, 7, 25, 4, 22, 12, 30, 14, 32, 8, 26)(9, 27, 17, 35, 11, 29, 18, 36, 13, 31, 16, 34)(37, 38, 42, 50, 46, 40)(39, 45, 41, 49, 51, 47)(43, 52, 44, 54, 48, 53)(55, 56, 60, 68, 64, 58)(57, 63, 59, 67, 69, 65)(61, 70, 62, 72, 66, 71)
	L = (1, 37)(2, 38)(3, 39)(4, 40)(5, 41)(6, 42)(7, 43)(8, 44)(9, 45)(10, 46)(11, 47)(12, 48)(13, 49)(14, 50)(15, 51)(16, 52)(17, 53)(18, 54)(19, 55)(20, 56)(21, 57)(22, 58)(23, 59)(24, 60)(25, 61)(26, 62)(27, 63)(28, 64)(29, 65)(30, 66)(31, 67)(32, 68)(33, 69)(34, 70)(35, 71)(36, 72)
	local type(s) :: { ( 24^6 ), ( 24^12 ) }
Outer automorphisms :: reflexible
Dual of E13.114
Graph:: bipartite
	v = 9 e = 36 f = 3
	degree seq :: [ 6^6, 12^3 ]

E13.114 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {6, 6, 6, 6})
Quotient :: loop^2
Aut^+ = C3 x S3 (small group id <18, 3>)
Aut   = S3 x S3 (small group id <36, 10>)
|r| :: 2
Presentation :: [ R^2, Y2^-1 * Y1, Y1^-2 * Y3^-2, (R * Y3)^2, R * Y2 * R * Y1, Y3^6, Y3^-2 * Y1^4, Y3^-1 * Y1^-1 * Y3 * Y1 * Y3^-1 * Y1^-1, Y2^6, (Y3 * Y1^-1)^3 ]
Map:: non-degenerate
	R = (1, 19, 37, 55, 3, 21, 39, 57, 10, 28, 46, 64, 15, 33, 51, 69, 6, 24, 42, 60, 5, 23, 41, 59)(2, 20, 38, 56, 7, 25, 43, 61, 4, 22, 40, 58, 12, 30, 48, 66, 14, 32, 50, 68, 8, 26, 44, 62)(9, 27, 45, 63, 17, 35, 53, 71, 11, 29, 47, 65, 18, 36, 54, 72, 13, 31, 49, 67, 16, 34, 52, 70)
	L = (1, 20)(2, 24)(3, 27)(4, 19)(5, 31)(6, 32)(7, 34)(8, 36)(9, 23)(10, 22)(11, 21)(12, 35)(13, 33)(14, 28)(15, 29)(16, 26)(17, 25)(18, 30)(37, 56)(38, 60)(39, 63)(40, 55)(41, 67)(42, 68)(43, 70)(44, 72)(45, 59)(46, 58)(47, 57)(48, 71)(49, 69)(50, 64)(51, 65)(52, 62)(53, 61)(54, 66)
	local type(s) :: { ( 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12 ) }
Outer automorphisms :: reflexible
Dual of E13.113
Transitivity :: VT+
Graph::
	v = 3 e = 36 f = 9
	degree seq :: [ 24^3 ]

E13.115 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {6, 6, 6, 6})
Quotient :: dipole
Aut^+ = C6 x C3 (small group id <18, 5>)
Aut   = C2 x ((C3 x C3) : C2) (small group id <36, 13>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1 * Y2, Y3^3, (Y2 * Y3)^2, (R * Y3)^2, (R * Y2)^2, (R * Y1)^2, (Y2^-1, Y1), (Y3^-1, Y1^-1), Y1 * Y3^-1 * Y1^2 * Y2^-1, Y3 * Y1^2 * Y2 * Y1 ]
Map:: non-degenerate
	R = (1, 19, 2, 20, 8, 26, 13, 31, 16, 34, 5, 23)(3, 21, 9, 27, 18, 36, 7, 25, 12, 30, 14, 32)(4, 22, 10, 28, 17, 35, 6, 24, 11, 29, 15, 33)(37, 55, 39, 57, 40, 58, 49, 67, 43, 61, 42, 60)(38, 56, 45, 63, 46, 64, 52, 70, 48, 66, 47, 65)(41, 59, 50, 68, 51, 69, 44, 62, 54, 72, 53, 71)
	L = (1, 40)(2, 46)(3, 49)(4, 43)(5, 51)(6, 39)(7, 37)(8, 53)(9, 52)(10, 48)(11, 45)(12, 38)(13, 42)(14, 44)(15, 54)(16, 47)(17, 50)(18, 41)(19, 55)(20, 56)(21, 57)(22, 58)(23, 59)(24, 60)(25, 61)(26, 62)(27, 63)(28, 64)(29, 65)(30, 66)(31, 67)(32, 68)(33, 69)(34, 70)(35, 71)(36, 72)
	local type(s) :: { ( 12^12 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 6 e = 36 f = 6
	degree seq :: [ 12^6 ]

E13.116 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 6, 9, 18})
Quotient :: dipole
Aut^+ = C18 (small group id <18, 2>)
Aut   = D36 (small group id <36, 4>)
|r| :: 2
Presentation :: [ R^2, Y1^3, Y2 * Y1 * Y2, Y3^3 * Y2^-1, (Y1^-1, Y3^-1), (R * Y1)^2, (Y3, Y2^-1), (R * Y3)^2, (Y2 * Y1^-1)^2, (R * Y2)^2 ]
Map:: non-degenerate
	R = (1, 19, 2, 20, 5, 23)(3, 21, 6, 24, 9, 27)(4, 22, 8, 26, 13, 31)(7, 25, 10, 28, 15, 33)(11, 29, 14, 32, 17, 35)(12, 30, 16, 34, 18, 36)(37, 55, 39, 57, 41, 59, 45, 63, 38, 56, 42, 60)(40, 58, 47, 65, 49, 67, 53, 71, 44, 62, 50, 68)(43, 61, 48, 66, 51, 69, 54, 72, 46, 64, 52, 70)
	L = (1, 40)(2, 44)(3, 47)(4, 48)(5, 49)(6, 50)(7, 37)(8, 52)(9, 53)(10, 38)(11, 51)(12, 39)(13, 54)(14, 43)(15, 41)(16, 42)(17, 46)(18, 45)(19, 55)(20, 56)(21, 57)(22, 58)(23, 59)(24, 60)(25, 61)(26, 62)(27, 63)(28, 64)(29, 65)(30, 66)(31, 67)(32, 68)(33, 69)(34, 70)(35, 71)(36, 72)
	local type(s) :: { ( 18, 36, 18, 36, 18, 36 ), ( 18, 36, 18, 36, 18, 36, 18, 36, 18, 36, 18, 36 ) }
Outer automorphisms :: reflexible
Dual of E13.131
Graph:: bipartite
	v = 9 e = 36 f = 3
	degree seq :: [ 6^6, 12^3 ]

E13.117 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 6, 9, 18})
Quotient :: dipole
Aut^+ = C18 (small group id <18, 2>)
Aut   = D36 (small group id <36, 4>)
|r| :: 2
Presentation :: [ R^2, Y1^3, Y2 * Y1^-1 * Y2, Y3^3 * Y2^-1, (Y3, Y2), (R * Y1)^2, (R * Y3)^2, (Y3, Y1^-1), (R * Y2)^2 ]
Map:: non-degenerate
	R = (1, 19, 2, 20, 5, 23)(3, 21, 8, 26, 6, 24)(4, 22, 9, 27, 13, 31)(7, 25, 10, 28, 15, 33)(11, 29, 17, 35, 14, 32)(12, 30, 18, 36, 16, 34)(37, 55, 39, 57, 38, 56, 44, 62, 41, 59, 42, 60)(40, 58, 47, 65, 45, 63, 53, 71, 49, 67, 50, 68)(43, 61, 48, 66, 46, 64, 54, 72, 51, 69, 52, 70)
	L = (1, 40)(2, 45)(3, 47)(4, 48)(5, 49)(6, 50)(7, 37)(8, 53)(9, 54)(10, 38)(11, 46)(12, 39)(13, 52)(14, 43)(15, 41)(16, 42)(17, 51)(18, 44)(19, 55)(20, 56)(21, 57)(22, 58)(23, 59)(24, 60)(25, 61)(26, 62)(27, 63)(28, 64)(29, 65)(30, 66)(31, 67)(32, 68)(33, 69)(34, 70)(35, 71)(36, 72)
	local type(s) :: { ( 18, 36, 18, 36, 18, 36 ), ( 18, 36, 18, 36, 18, 36, 18, 36, 18, 36, 18, 36 ) }
Outer automorphisms :: reflexible
Dual of E13.128
Graph:: bipartite
	v = 9 e = 36 f = 3
	degree seq :: [ 6^6, 12^3 ]

E13.118 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 6, 9, 18})
Quotient :: dipole
Aut^+ = C18 (small group id <18, 2>)
Aut   = D36 (small group id <36, 4>)
|r| :: 2
Presentation :: [ R^2, Y1^3, Y2 * Y1 * Y2, Y3^-1 * Y2^-1 * Y3^-2, (R * Y1)^2, (R * Y3)^2, (Y1^-1, Y3^-1), (R * Y2)^2, (Y2 * Y1^-1)^2, (Y3, Y2^-1), Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y2 ]
Map:: non-degenerate
	R = (1, 19, 2, 20, 5, 23)(3, 21, 6, 24, 9, 27)(4, 22, 8, 26, 14, 32)(7, 25, 10, 28, 16, 34)(11, 29, 15, 33, 18, 36)(12, 30, 13, 31, 17, 35)(37, 55, 39, 57, 41, 59, 45, 63, 38, 56, 42, 60)(40, 58, 47, 65, 50, 68, 54, 72, 44, 62, 51, 69)(43, 61, 48, 66, 52, 70, 53, 71, 46, 64, 49, 67)
	L = (1, 40)(2, 44)(3, 47)(4, 49)(5, 50)(6, 51)(7, 37)(8, 53)(9, 54)(10, 38)(11, 43)(12, 39)(13, 42)(14, 48)(15, 46)(16, 41)(17, 45)(18, 52)(19, 55)(20, 56)(21, 57)(22, 58)(23, 59)(24, 60)(25, 61)(26, 62)(27, 63)(28, 64)(29, 65)(30, 66)(31, 67)(32, 68)(33, 69)(34, 70)(35, 71)(36, 72)
	local type(s) :: { ( 18, 36, 18, 36, 18, 36 ), ( 18, 36, 18, 36, 18, 36, 18, 36, 18, 36, 18, 36 ) }
Outer automorphisms :: reflexible
Dual of E13.129
Graph:: bipartite
	v = 9 e = 36 f = 3
	degree seq :: [ 6^6, 12^3 ]

E13.119 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 6, 9, 18})
Quotient :: dipole
Aut^+ = C18 (small group id <18, 2>)
Aut   = D36 (small group id <36, 4>)
|r| :: 2
Presentation :: [ R^2, Y1^3, Y1^-1 * Y2^2, Y3^-3 * Y2^-1, (Y3^-1, Y2), (R * Y1)^2, (R * Y3)^2, (R * Y2)^2, (Y3, Y1^-1) ]
Map:: non-degenerate
	R = (1, 19, 2, 20, 5, 23)(3, 21, 8, 26, 6, 24)(4, 22, 9, 27, 14, 32)(7, 25, 10, 28, 16, 34)(11, 29, 17, 35, 15, 33)(12, 30, 18, 36, 13, 31)(37, 55, 39, 57, 38, 56, 44, 62, 41, 59, 42, 60)(40, 58, 47, 65, 45, 63, 53, 71, 50, 68, 51, 69)(43, 61, 48, 66, 46, 64, 54, 72, 52, 70, 49, 67)
	L = (1, 40)(2, 45)(3, 47)(4, 49)(5, 50)(6, 51)(7, 37)(8, 53)(9, 48)(10, 38)(11, 43)(12, 39)(13, 42)(14, 54)(15, 52)(16, 41)(17, 46)(18, 44)(19, 55)(20, 56)(21, 57)(22, 58)(23, 59)(24, 60)(25, 61)(26, 62)(27, 63)(28, 64)(29, 65)(30, 66)(31, 67)(32, 68)(33, 69)(34, 70)(35, 71)(36, 72)
	local type(s) :: { ( 18, 36, 18, 36, 18, 36 ), ( 18, 36, 18, 36, 18, 36, 18, 36, 18, 36, 18, 36 ) }
Outer automorphisms :: reflexible
Dual of E13.130
Graph:: bipartite
	v = 9 e = 36 f = 3
	degree seq :: [ 6^6, 12^3 ]

E13.120 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 6, 9, 18})
Quotient :: dipole
Aut^+ = C18 (small group id <18, 2>)
Aut   = D36 (small group id <36, 4>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y1^-3 * Y3, Y3 * Y2 * Y3 * Y2^-1, (R * Y1)^2, (R * Y3)^2, (Y2^-1 * R)^2, Y3 * Y1 * Y3 * Y1^-1, (Y2^-1, Y1^-1), Y2^-2 * Y1 * Y3 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 19, 2, 20, 7, 25, 4, 22, 9, 27, 5, 23)(3, 21, 8, 26, 16, 34, 12, 30, 18, 36, 13, 31)(6, 24, 10, 28, 17, 35, 14, 32, 11, 29, 15, 33)(37, 55, 39, 57, 47, 65, 45, 63, 54, 72, 53, 71, 43, 61, 52, 70, 42, 60)(38, 56, 44, 62, 51, 69, 41, 59, 49, 67, 50, 68, 40, 58, 48, 66, 46, 64)
	L = (1, 40)(2, 45)(3, 48)(4, 37)(5, 43)(6, 50)(7, 41)(8, 54)(9, 38)(10, 47)(11, 46)(12, 39)(13, 52)(14, 42)(15, 53)(16, 49)(17, 51)(18, 44)(19, 55)(20, 56)(21, 57)(22, 58)(23, 59)(24, 60)(25, 61)(26, 62)(27, 63)(28, 64)(29, 65)(30, 66)(31, 67)(32, 68)(33, 69)(34, 70)(35, 71)(36, 72)
	local type(s) :: { ( 6, 36, 6, 36, 6, 36, 6, 36, 6, 36, 6, 36 ), ( 6, 36, 6, 36, 6, 36, 6, 36, 6, 36, 6, 36, 6, 36, 6, 36, 6, 36 ) }
Outer automorphisms :: reflexible
Dual of E13.124
Graph:: bipartite
	v = 5 e = 36 f = 7
	degree seq :: [ 12^3, 18^2 ]

E13.121 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 6, 9, 18})
Quotient :: dipole
Aut^+ = C18 (small group id <18, 2>)
Aut   = D36 (small group id <36, 4>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y1^-3 * Y3, Y3 * Y2 * Y3 * Y2^-1, (R * Y3)^2, (R * Y1)^2, Y3 * Y1 * Y3 * Y1^-1, (Y2^-1 * R)^2, (Y2^-1, Y1^-1), Y2 * Y1 * Y3 * Y2^2, (Y2 * Y3 * Y1)^9 ]
Map:: non-degenerate
	R = (1, 19, 2, 20, 7, 25, 4, 22, 9, 27, 5, 23)(3, 21, 8, 26, 17, 35, 12, 30, 16, 34, 13, 31)(6, 24, 10, 28, 11, 29, 14, 32, 18, 36, 15, 33)(37, 55, 39, 57, 47, 65, 43, 61, 53, 71, 54, 72, 45, 63, 52, 70, 42, 60)(38, 56, 44, 62, 50, 68, 40, 58, 48, 66, 51, 69, 41, 59, 49, 67, 46, 64)
	L = (1, 40)(2, 45)(3, 48)(4, 37)(5, 43)(6, 50)(7, 41)(8, 52)(9, 38)(10, 54)(11, 51)(12, 39)(13, 53)(14, 42)(15, 47)(16, 44)(17, 49)(18, 46)(19, 55)(20, 56)(21, 57)(22, 58)(23, 59)(24, 60)(25, 61)(26, 62)(27, 63)(28, 64)(29, 65)(30, 66)(31, 67)(32, 68)(33, 69)(34, 70)(35, 71)(36, 72)
	local type(s) :: { ( 6, 36, 6, 36, 6, 36, 6, 36, 6, 36, 6, 36 ), ( 6, 36, 6, 36, 6, 36, 6, 36, 6, 36, 6, 36, 6, 36, 6, 36, 6, 36 ) }
Outer automorphisms :: reflexible
Dual of E13.125
Graph:: bipartite
	v = 5 e = 36 f = 7
	degree seq :: [ 12^3, 18^2 ]

E13.122 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 6, 9, 18})
Quotient :: dipole
Aut^+ = C18 (small group id <18, 2>)
Aut   = D36 (small group id <36, 4>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y3, Y2 * Y3 * Y2^-1 * Y1^-1, (Y2^-1 * R)^2, (R * Y3)^2, (R * Y1)^2, Y2^-1 * Y3 * Y2 * Y1^-1, Y1 * Y2 * Y3 * Y2^2, (Y3^-1 * Y1^-1)^3, Y1^6, (Y2^-1 * Y1)^18 ]
Map:: non-degenerate
	R = (1, 19, 2, 20, 6, 24, 14, 32, 11, 29, 4, 22)(3, 21, 7, 25, 13, 31, 16, 34, 18, 36, 10, 28)(5, 23, 8, 26, 15, 33, 17, 35, 9, 27, 12, 30)(37, 55, 39, 57, 45, 63, 47, 65, 54, 72, 51, 69, 42, 60, 49, 67, 41, 59)(38, 56, 43, 61, 48, 66, 40, 58, 46, 64, 53, 71, 50, 68, 52, 70, 44, 62)
	L = (1, 38)(2, 42)(3, 43)(4, 37)(5, 44)(6, 50)(7, 49)(8, 51)(9, 48)(10, 39)(11, 40)(12, 41)(13, 52)(14, 47)(15, 53)(16, 54)(17, 45)(18, 46)(19, 55)(20, 56)(21, 57)(22, 58)(23, 59)(24, 60)(25, 61)(26, 62)(27, 63)(28, 64)(29, 65)(30, 66)(31, 67)(32, 68)(33, 69)(34, 70)(35, 71)(36, 72)
	local type(s) :: { ( 6, 36, 6, 36, 6, 36, 6, 36, 6, 36, 6, 36 ), ( 6, 36, 6, 36, 6, 36, 6, 36, 6, 36, 6, 36, 6, 36, 6, 36, 6, 36 ) }
Outer automorphisms :: reflexible
Dual of E13.127
Graph:: bipartite
	v = 5 e = 36 f = 7
	degree seq :: [ 12^3, 18^2 ]

E13.123 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 6, 9, 18})
Quotient :: dipole
Aut^+ = C18 (small group id <18, 2>)
Aut   = D36 (small group id <36, 4>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y3, (R * Y3)^2, (R * Y1)^2, Y2^-1 * Y3 * Y2 * Y1^-1, (Y2^-1 * R)^2, Y2 * Y3 * Y2^-1 * Y1^-1, Y1 * Y2^-1 * Y3 * Y2^-2, Y1^6, (Y3^-1 * Y1^-1)^3, Y2^9 ]
Map:: non-degenerate
	R = (1, 19, 2, 20, 6, 24, 14, 32, 11, 29, 4, 22)(3, 21, 7, 25, 15, 33, 18, 36, 13, 31, 10, 28)(5, 23, 8, 26, 9, 27, 16, 34, 17, 35, 12, 30)(37, 55, 39, 57, 45, 63, 42, 60, 51, 69, 53, 71, 47, 65, 49, 67, 41, 59)(38, 56, 43, 61, 52, 70, 50, 68, 54, 72, 48, 66, 40, 58, 46, 64, 44, 62)
	L = (1, 38)(2, 42)(3, 43)(4, 37)(5, 44)(6, 50)(7, 51)(8, 45)(9, 52)(10, 39)(11, 40)(12, 41)(13, 46)(14, 47)(15, 54)(16, 53)(17, 48)(18, 49)(19, 55)(20, 56)(21, 57)(22, 58)(23, 59)(24, 60)(25, 61)(26, 62)(27, 63)(28, 64)(29, 65)(30, 66)(31, 67)(32, 68)(33, 69)(34, 70)(35, 71)(36, 72)
	local type(s) :: { ( 6, 36, 6, 36, 6, 36, 6, 36, 6, 36, 6, 36 ), ( 6, 36, 6, 36, 6, 36, 6, 36, 6, 36, 6, 36, 6, 36, 6, 36, 6, 36 ) }
Outer automorphisms :: reflexible
Dual of E13.126
Graph:: bipartite
	v = 5 e = 36 f = 7
	degree seq :: [ 12^3, 18^2 ]

E13.124 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 6, 9, 18})
Quotient :: dipole
Aut^+ = C18 (small group id <18, 2>)
Aut   = D36 (small group id <36, 4>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2^3, (R * Y2)^2, Y3 * Y2 * Y3 * Y2^-1, (R * Y1)^2, (R * Y3)^2, (Y2^-1, Y1^-1), Y3 * Y1 * Y3 * Y1^-1, Y2^-1 * Y1^3 * Y3, Y1 * Y3 * Y1^2 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 19, 2, 20, 7, 25, 11, 29, 18, 36, 16, 34, 6, 24, 10, 28, 13, 31, 4, 22, 9, 27, 12, 30, 3, 21, 8, 26, 17, 35, 14, 32, 15, 33, 5, 23)(37, 55, 39, 57, 42, 60)(38, 56, 44, 62, 46, 64)(40, 58, 47, 65, 50, 68)(41, 59, 48, 66, 52, 70)(43, 61, 53, 71, 49, 67)(45, 63, 54, 72, 51, 69)
	L = (1, 40)(2, 45)(3, 47)(4, 37)(5, 49)(6, 50)(7, 48)(8, 54)(9, 38)(10, 51)(11, 39)(12, 43)(13, 41)(14, 42)(15, 46)(16, 53)(17, 52)(18, 44)(19, 55)(20, 56)(21, 57)(22, 58)(23, 59)(24, 60)(25, 61)(26, 62)(27, 63)(28, 64)(29, 65)(30, 66)(31, 67)(32, 68)(33, 69)(34, 70)(35, 71)(36, 72)
	local type(s) :: { ( 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, 12, 18, 12, 18 ) }
Outer automorphisms :: reflexible
Dual of E13.120
Graph:: bipartite
	v = 7 e = 36 f = 5
	degree seq :: [ 6^6, 36 ]

E13.125 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 6, 9, 18})
Quotient :: dipole
Aut^+ = C18 (small group id <18, 2>)
Aut   = D36 (small group id <36, 4>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2^3, Y2^3, (R * Y2)^2, (R * Y3)^2, Y1^-1 * Y3 * Y1 * Y3, (R * Y1)^2, (Y2^-1, Y1^-1), Y3 * Y2 * Y3 * Y2^-1, Y2 * Y1^3 * Y3, Y1^2 * Y2 * Y1 * Y3 ]
Map:: non-degenerate
	R = (1, 19, 2, 20, 7, 25, 14, 32, 18, 36, 12, 30, 3, 21, 8, 26, 13, 31, 4, 22, 9, 27, 16, 34, 6, 24, 10, 28, 17, 35, 11, 29, 15, 33, 5, 23)(37, 55, 39, 57, 42, 60)(38, 56, 44, 62, 46, 64)(40, 58, 47, 65, 50, 68)(41, 59, 48, 66, 52, 70)(43, 61, 49, 67, 53, 71)(45, 63, 51, 69, 54, 72)
	L = (1, 40)(2, 45)(3, 47)(4, 37)(5, 49)(6, 50)(7, 52)(8, 51)(9, 38)(10, 54)(11, 39)(12, 53)(13, 41)(14, 42)(15, 44)(16, 43)(17, 48)(18, 46)(19, 55)(20, 56)(21, 57)(22, 58)(23, 59)(24, 60)(25, 61)(26, 62)(27, 63)(28, 64)(29, 65)(30, 66)(31, 67)(32, 68)(33, 69)(34, 70)(35, 71)(36, 72)
	local type(s) :: { ( 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, 12, 18, 12, 18 ) }
Outer automorphisms :: reflexible
Dual of E13.121
Graph:: bipartite
	v = 7 e = 36 f = 5
	degree seq :: [ 6^6, 36 ]

E13.126 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 6, 9, 18})
Quotient :: dipole
Aut^+ = C18 (small group id <18, 2>)
Aut   = D36 (small group id <36, 4>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y2^-1 * Y3, Y2^3, (Y1, Y2^-1), Y3 * Y1^3, (Y1, Y3), (R * Y1)^2, (R * Y3)^2, (R * Y2)^2, Y2 * Y1^-1 * Y3 * Y2 * Y1^-2 ]
Map:: non-degenerate
	R = (1, 19, 2, 20, 8, 26, 7, 25, 12, 30, 16, 34, 6, 24, 11, 29, 17, 35, 13, 31, 18, 36, 14, 32, 3, 21, 9, 27, 15, 33, 4, 22, 10, 28, 5, 23)(37, 55, 39, 57, 42, 60)(38, 56, 45, 63, 47, 65)(40, 58, 49, 67, 43, 61)(41, 59, 50, 68, 52, 70)(44, 62, 51, 69, 53, 71)(46, 64, 54, 72, 48, 66)
	L = (1, 40)(2, 46)(3, 49)(4, 39)(5, 51)(6, 43)(7, 37)(8, 41)(9, 54)(10, 45)(11, 48)(12, 38)(13, 42)(14, 53)(15, 50)(16, 44)(17, 52)(18, 47)(19, 55)(20, 56)(21, 57)(22, 58)(23, 59)(24, 60)(25, 61)(26, 62)(27, 63)(28, 64)(29, 65)(30, 66)(31, 67)(32, 68)(33, 69)(34, 70)(35, 71)(36, 72)
	local type(s) :: { ( 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, 12, 18, 12, 18 ) }
Outer automorphisms :: reflexible
Dual of E13.123
Graph:: bipartite
	v = 7 e = 36 f = 5
	degree seq :: [ 6^6, 36 ]

E13.127 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 6, 9, 18})
Quotient :: dipole
Aut^+ = C18 (small group id <18, 2>)
Aut   = D36 (small group id <36, 4>)
|r| :: 2
Presentation :: [ R^2, Y2^-1 * Y3^2, Y2^3, Y1^-1 * Y3 * Y1^-2, Y3 * Y1^-3, (Y3^-1 * Y2^-1)^2, (R * Y3)^2, (R * Y2)^2, (R * Y1)^2, (Y2^-1, Y1^-1) ]
Map:: non-degenerate
	R = (1, 19, 2, 20, 8, 26, 4, 22, 10, 28, 14, 32, 3, 21, 9, 27, 17, 35, 13, 31, 18, 36, 15, 33, 6, 24, 11, 29, 16, 34, 7, 25, 12, 30, 5, 23)(37, 55, 39, 57, 42, 60)(38, 56, 45, 63, 47, 65)(40, 58, 49, 67, 43, 61)(41, 59, 50, 68, 51, 69)(44, 62, 53, 71, 52, 70)(46, 64, 54, 72, 48, 66)
	L = (1, 40)(2, 46)(3, 49)(4, 39)(5, 44)(6, 43)(7, 37)(8, 50)(9, 54)(10, 45)(11, 48)(12, 38)(13, 42)(14, 53)(15, 52)(16, 41)(17, 51)(18, 47)(19, 55)(20, 56)(21, 57)(22, 58)(23, 59)(24, 60)(25, 61)(26, 62)(27, 63)(28, 64)(29, 65)(30, 66)(31, 67)(32, 68)(33, 69)(34, 70)(35, 71)(36, 72)
	local type(s) :: { ( 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, 12, 18, 12, 18 ) }
Outer automorphisms :: reflexible
Dual of E13.122
Graph:: bipartite
	v = 7 e = 36 f = 5
	degree seq :: [ 6^6, 36 ]

E13.128 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 6, 9, 18})
Quotient :: dipole
Aut^+ = C18 (small group id <18, 2>)
Aut   = D36 (small group id <36, 4>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y3^2, Y2^-1 * Y1^-2 * Y2^-1, (R * Y3)^2, (Y1 * Y2)^2, (R * Y1)^2, (R * Y2)^2, (Y3^-1, Y2^-1), Y1 * Y2^-1 * Y3 * Y2^-2, Y1^-3 * Y2 * Y3^-1, Y2^-3 * Y3 * Y1, (Y1 * Y3)^6 ]
Map:: non-degenerate
	R = (1, 19, 2, 20, 8, 26, 15, 33, 13, 31, 18, 36, 16, 34, 12, 30, 5, 23)(3, 21, 9, 27, 6, 24, 11, 29, 17, 35, 7, 25, 4, 22, 10, 28, 14, 32)(37, 55, 39, 57, 48, 66, 46, 64, 54, 72, 43, 61, 51, 69, 47, 65, 38, 56, 45, 63, 41, 59, 50, 68, 52, 70, 40, 58, 49, 67, 53, 71, 44, 62, 42, 60)
	L = (1, 40)(2, 46)(3, 49)(4, 38)(5, 43)(6, 52)(7, 37)(8, 50)(9, 54)(10, 44)(11, 48)(12, 53)(13, 45)(14, 51)(15, 39)(16, 47)(17, 41)(18, 42)(19, 55)(20, 56)(21, 57)(22, 58)(23, 59)(24, 60)(25, 61)(26, 62)(27, 63)(28, 64)(29, 65)(30, 66)(31, 67)(32, 68)(33, 69)(34, 70)(35, 71)(36, 72)
	local type(s) :: { ( 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12 ), ( 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12 ) }
Outer automorphisms :: reflexible
Dual of E13.117
Graph:: bipartite
	v = 3 e = 36 f = 9
	degree seq :: [ 18^2, 36 ]

E13.129 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 6, 9, 18})
Quotient :: dipole
Aut^+ = C18 (small group id <18, 2>)
Aut   = D36 (small group id <36, 4>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y2^2, Y1 * Y2^-2, Y1^2 * Y2 * Y3, Y2^-1 * Y1^-1 * Y3^-1 * Y1^-1, (Y3^-1, Y1^-1), (Y3^-1, Y2), (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, Y3^2 * Y1^-1 * Y3 * Y2^-1, Y3^-1 * Y2^-1 * Y3^-1 * Y2^-1 * Y3^-1 * Y2^-1 * Y3^-1 * Y2 ]
Map:: non-degenerate
	R = (1, 19, 2, 20, 8, 26, 13, 31, 14, 32, 17, 35, 16, 34, 12, 30, 5, 23)(3, 21, 9, 27, 7, 25, 11, 29, 18, 36, 15, 33, 4, 22, 10, 28, 6, 24)(37, 55, 39, 57, 38, 56, 45, 63, 44, 62, 43, 61, 49, 67, 47, 65, 50, 68, 54, 72, 53, 71, 51, 69, 52, 70, 40, 58, 48, 66, 46, 64, 41, 59, 42, 60)
	L = (1, 40)(2, 46)(3, 48)(4, 50)(5, 51)(6, 52)(7, 37)(8, 42)(9, 41)(10, 53)(11, 38)(12, 54)(13, 39)(14, 45)(15, 49)(16, 47)(17, 43)(18, 44)(19, 55)(20, 56)(21, 57)(22, 58)(23, 59)(24, 60)(25, 61)(26, 62)(27, 63)(28, 64)(29, 65)(30, 66)(31, 67)(32, 68)(33, 69)(34, 70)(35, 71)(36, 72)
	local type(s) :: { ( 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12 ), ( 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12 ) }
Outer automorphisms :: reflexible
Dual of E13.118
Graph:: bipartite
	v = 3 e = 36 f = 9
	degree seq :: [ 18^2, 36 ]

E13.130 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 6, 9, 18})
Quotient :: dipole
Aut^+ = C18 (small group id <18, 2>)
Aut   = D36 (small group id <36, 4>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y2^-1 * Y1, Y1 * Y2^-1 * Y3^-1, (R * Y1)^2, (R * Y2)^2, (R * Y3)^2, Y1^2 * Y2^2, Y3^-4 * Y1^-1, Y1^18 ]
Map:: non-degenerate
	R = (1, 19, 2, 20, 8, 26, 14, 32, 13, 31, 16, 34, 12, 30, 11, 29, 5, 23)(3, 21, 9, 27, 6, 24, 4, 22, 10, 28, 17, 35, 18, 36, 15, 33, 7, 25)(37, 55, 39, 57, 47, 65, 51, 69, 52, 70, 53, 71, 50, 68, 40, 58, 38, 56, 45, 63, 41, 59, 43, 61, 48, 66, 54, 72, 49, 67, 46, 64, 44, 62, 42, 60)
	L = (1, 40)(2, 46)(3, 38)(4, 49)(5, 42)(6, 50)(7, 37)(8, 53)(9, 44)(10, 52)(11, 45)(12, 39)(13, 51)(14, 54)(15, 41)(16, 43)(17, 48)(18, 47)(19, 55)(20, 56)(21, 57)(22, 58)(23, 59)(24, 60)(25, 61)(26, 62)(27, 63)(28, 64)(29, 65)(30, 66)(31, 67)(32, 68)(33, 69)(34, 70)(35, 71)(36, 72)
	local type(s) :: { ( 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12 ), ( 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12 ) }
Outer automorphisms :: reflexible
Dual of E13.119
Graph:: bipartite
	v = 3 e = 36 f = 9
	degree seq :: [ 18^2, 36 ]

E13.131 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 6, 9, 18})
Quotient :: dipole
Aut^+ = C18 (small group id <18, 2>)
Aut   = D36 (small group id <36, 4>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y3^-2, Y1^-1 * Y3^2, Y1^-1 * Y2^-1 * Y3^-1 * Y1^-1, (Y2, Y3), Y2^-1 * Y1^-1 * Y3^-1 * Y1^-1, (Y2^-1 * R)^2, (Y1^-1, Y2^-1), (R * Y1)^2, Y1^-2 * Y3^-1 * Y2^-1, (R * Y3)^2, Y2^3 * Y1^-1 * Y3^-1, Y2^-1 * Y1 * Y2^-1 * Y3 * Y2^-1, Y2^4 * Y1 ]
Map:: non-degenerate
	R = (1, 19, 2, 20, 8, 26, 16, 34, 12, 30, 17, 35, 15, 33, 13, 31, 5, 23)(3, 21, 9, 27, 7, 25, 4, 22, 10, 28, 6, 24, 11, 29, 18, 36, 14, 32)(37, 55, 39, 57, 48, 66, 46, 64, 41, 59, 50, 68, 52, 70, 40, 58, 49, 67, 54, 72, 44, 62, 43, 61, 51, 69, 47, 65, 38, 56, 45, 63, 53, 71, 42, 60)
	L = (1, 40)(2, 46)(3, 49)(4, 38)(5, 43)(6, 52)(7, 37)(8, 42)(9, 41)(10, 44)(11, 48)(12, 54)(13, 45)(14, 51)(15, 39)(16, 47)(17, 50)(18, 53)(19, 55)(20, 56)(21, 57)(22, 58)(23, 59)(24, 60)(25, 61)(26, 62)(27, 63)(28, 64)(29, 65)(30, 66)(31, 67)(32, 68)(33, 69)(34, 70)(35, 71)(36, 72)
	local type(s) :: { ( 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12 ), ( 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12 ) }
Outer automorphisms :: reflexible
Dual of E13.116
Graph:: bipartite
	v = 3 e = 36 f = 9
	degree seq :: [ 18^2, 36 ]

E13.132 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 6, 9, 18})
Quotient :: dipole
Aut^+ = C18 (small group id <18, 2>)
Aut   = D36 (small group id <36, 4>)
|r| :: 2
Presentation :: [ R^2, Y1^3, Y3^2 * Y2, Y2^-3 * Y1, (Y3^-1, Y1), (Y2^-1, Y1), (R * Y1)^2, (R * Y3)^2, (R * Y2)^2, Y3 * Y1 * Y2^-1 * Y3 * Y2^-1, Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 19, 2, 20, 5, 23)(3, 21, 8, 26, 12, 30)(4, 22, 9, 27, 14, 32)(6, 24, 10, 28, 16, 34)(7, 25, 11, 29, 17, 35)(13, 31, 18, 36, 15, 33)(37, 55, 39, 57, 46, 64, 38, 56, 44, 62, 52, 70, 41, 59, 48, 66, 42, 60)(40, 58, 43, 61, 49, 67, 45, 63, 47, 65, 54, 72, 50, 68, 53, 71, 51, 69)
	L = (1, 40)(2, 45)(3, 43)(4, 42)(5, 50)(6, 51)(7, 37)(8, 47)(9, 46)(10, 49)(11, 38)(12, 53)(13, 39)(14, 52)(15, 48)(16, 54)(17, 41)(18, 44)(19, 55)(20, 56)(21, 57)(22, 58)(23, 59)(24, 60)(25, 61)(26, 62)(27, 63)(28, 64)(29, 65)(30, 66)(31, 67)(32, 68)(33, 69)(34, 70)(35, 71)(36, 72)
	local type(s) :: { ( 12, 36, 12, 36, 12, 36 ), ( 12, 36, 12, 36, 12, 36, 12, 36, 12, 36, 12, 36, 12, 36, 12, 36, 12, 36 ) }
Outer automorphisms :: reflexible
Dual of E13.139
Graph:: bipartite
	v = 8 e = 36 f = 4
	degree seq :: [ 6^6, 18^2 ]

E13.133 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 6, 9, 18})
Quotient :: dipole
Aut^+ = C18 (small group id <18, 2>)
Aut   = D36 (small group id <36, 4>)
|r| :: 2
Presentation :: [ R^2, Y1^-3, Y1^3, Y2 * Y3^2, Y2^-3 * Y1^-1, (R * Y1)^2, (R * Y3)^2, (R * Y2)^2, (Y3^-1, Y1^-1), (Y2^-1, Y1), Y2 * Y1 * Y3^-1 * Y2 * Y3^-1, (Y2 * Y1^-1 * Y3^-1)^2 ]
Map:: non-degenerate
	R = (1, 19, 2, 20, 5, 23)(3, 21, 8, 26, 13, 31)(4, 22, 9, 27, 15, 33)(6, 24, 10, 28, 12, 30)(7, 25, 11, 29, 17, 35)(14, 32, 16, 34, 18, 36)(37, 55, 39, 57, 48, 66, 41, 59, 49, 67, 46, 64, 38, 56, 44, 62, 42, 60)(40, 58, 43, 61, 50, 68, 51, 69, 53, 71, 54, 72, 45, 63, 47, 65, 52, 70)
	L = (1, 40)(2, 45)(3, 43)(4, 42)(5, 51)(6, 52)(7, 37)(8, 47)(9, 46)(10, 54)(11, 38)(12, 50)(13, 53)(14, 39)(15, 48)(16, 44)(17, 41)(18, 49)(19, 55)(20, 56)(21, 57)(22, 58)(23, 59)(24, 60)(25, 61)(26, 62)(27, 63)(28, 64)(29, 65)(30, 66)(31, 67)(32, 68)(33, 69)(34, 70)(35, 71)(36, 72)
	local type(s) :: { ( 12, 36, 12, 36, 12, 36 ), ( 12, 36, 12, 36, 12, 36, 12, 36, 12, 36, 12, 36, 12, 36, 12, 36, 12, 36 ) }
Outer automorphisms :: reflexible
Dual of E13.137
Graph:: bipartite
	v = 8 e = 36 f = 4
	degree seq :: [ 6^6, 18^2 ]

E13.134 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 6, 9, 18})
Quotient :: dipole
Aut^+ = C18 (small group id <18, 2>)
Aut   = D36 (small group id <36, 4>)
|r| :: 2
Presentation :: [ R^2, Y1^3, Y3^-2 * Y2^-1 * Y1^-1, Y3^-1 * Y1^-1 * Y3^-1 * Y2^-1, (Y2^-1 * R)^2, Y2^-1 * Y3^-2 * Y1^-1, (Y3, Y2^-1), (R * Y1)^2, (R * Y3)^2, Y2^3 * Y1^-1, (Y1, Y3^-1), Y2^2 * Y3^-1 * Y1 * Y3^-1, Y3^-3 * Y2 * Y3^-1 ]
Map:: non-degenerate
	R = (1, 19, 2, 20, 5, 23)(3, 21, 8, 26, 13, 31)(4, 22, 9, 27, 16, 34)(6, 24, 10, 28, 15, 33)(7, 25, 11, 29, 12, 30)(14, 32, 17, 35, 18, 36)(37, 55, 39, 57, 46, 64, 38, 56, 44, 62, 51, 69, 41, 59, 49, 67, 42, 60)(40, 58, 48, 66, 54, 72, 45, 63, 43, 61, 50, 68, 52, 70, 47, 65, 53, 71)
	L = (1, 40)(2, 45)(3, 48)(4, 51)(5, 52)(6, 53)(7, 37)(8, 43)(9, 42)(10, 54)(11, 38)(12, 41)(13, 47)(14, 39)(15, 50)(16, 46)(17, 44)(18, 49)(19, 55)(20, 56)(21, 57)(22, 58)(23, 59)(24, 60)(25, 61)(26, 62)(27, 63)(28, 64)(29, 65)(30, 66)(31, 67)(32, 68)(33, 69)(34, 70)(35, 71)(36, 72)
	local type(s) :: { ( 12, 36, 12, 36, 12, 36 ), ( 12, 36, 12, 36, 12, 36, 12, 36, 12, 36, 12, 36, 12, 36, 12, 36, 12, 36 ) }
Outer automorphisms :: reflexible
Dual of E13.136
Graph:: bipartite
	v = 8 e = 36 f = 4
	degree seq :: [ 6^6, 18^2 ]

E13.135 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 6, 9, 18})
Quotient :: dipole
Aut^+ = C18 (small group id <18, 2>)
Aut   = D36 (small group id <36, 4>)
|r| :: 2
Presentation :: [ R^2, Y1^3, (Y2, Y1^-1), (Y3^-1, Y1^-1), Y1^-1 * Y3 * Y2 * Y3, Y3^-2 * Y1 * Y2^-1, (Y2^-1 * R)^2, Y2 * Y3^2 * Y1^-1, (R * Y1)^2, (R * Y3)^2, Y1^-1 * Y2^-3, Y3 * Y1 * Y2^-1 * Y3 * Y2^-1, (Y1^-1 * Y3^-1)^18 ]
Map:: non-degenerate
	R = (1, 19, 2, 20, 5, 23)(3, 21, 8, 26, 13, 31)(4, 22, 9, 27, 15, 33)(6, 24, 10, 28, 12, 30)(7, 25, 11, 29, 17, 35)(14, 32, 18, 36, 16, 34)(37, 55, 39, 57, 48, 66, 41, 59, 49, 67, 46, 64, 38, 56, 44, 62, 42, 60)(40, 58, 47, 65, 54, 72, 51, 69, 43, 61, 50, 68, 45, 63, 53, 71, 52, 70)
	L = (1, 40)(2, 45)(3, 47)(4, 46)(5, 51)(6, 52)(7, 37)(8, 53)(9, 48)(10, 50)(11, 38)(12, 54)(13, 43)(14, 39)(15, 42)(16, 49)(17, 41)(18, 44)(19, 55)(20, 56)(21, 57)(22, 58)(23, 59)(24, 60)(25, 61)(26, 62)(27, 63)(28, 64)(29, 65)(30, 66)(31, 67)(32, 68)(33, 69)(34, 70)(35, 71)(36, 72)
	local type(s) :: { ( 12, 36, 12, 36, 12, 36 ), ( 12, 36, 12, 36, 12, 36, 12, 36, 12, 36, 12, 36, 12, 36, 12, 36, 12, 36 ) }
Outer automorphisms :: reflexible
Dual of E13.138
Graph:: bipartite
	v = 8 e = 36 f = 4
	degree seq :: [ 6^6, 18^2 ]

E13.136 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 6, 9, 18})
Quotient :: dipole
Aut^+ = C18 (small group id <18, 2>)
Aut   = D36 (small group id <36, 4>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2^2 * Y1^-1 * Y2, Y1^-3 * Y3, (Y2, Y1), Y3 * Y2 * Y3 * Y2^-1, (Y2^-1 * R)^2, (R * Y1)^2, (R * Y3)^2, Y3 * Y1 * Y3 * Y1^-1, Y2^-2 * Y3 * Y1^-1 * Y2^-1 * Y1^-1, Y1^-1 * Y2^-1 * Y1^-1 * Y3 * Y2 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 19, 2, 20, 7, 25, 4, 22, 9, 27, 5, 23)(3, 21, 8, 26, 15, 33, 11, 29, 17, 35, 12, 30)(6, 24, 10, 28, 16, 34, 13, 31, 18, 36, 14, 32)(37, 55, 39, 57, 46, 64, 38, 56, 44, 62, 52, 70, 43, 61, 51, 69, 49, 67, 40, 58, 47, 65, 54, 72, 45, 63, 53, 71, 50, 68, 41, 59, 48, 66, 42, 60)
	L = (1, 40)(2, 45)(3, 47)(4, 37)(5, 43)(6, 49)(7, 41)(8, 53)(9, 38)(10, 54)(11, 39)(12, 51)(13, 42)(14, 52)(15, 48)(16, 50)(17, 44)(18, 46)(19, 55)(20, 56)(21, 57)(22, 58)(23, 59)(24, 60)(25, 61)(26, 62)(27, 63)(28, 64)(29, 65)(30, 66)(31, 67)(32, 68)(33, 69)(34, 70)(35, 71)(36, 72)
	local type(s) :: { ( 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18 ), ( 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18 ) }
Outer automorphisms :: reflexible
Dual of E13.134
Graph:: bipartite
	v = 4 e = 36 f = 8
	degree seq :: [ 12^3, 36 ]

E13.137 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 6, 9, 18})
Quotient :: dipole
Aut^+ = C18 (small group id <18, 2>)
Aut   = D36 (small group id <36, 4>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y1^-1 * Y2^-3, Y1^-2 * Y3 * Y1^-1, (Y2^-1, Y1), (Y2^-1 * R)^2, Y3 * Y2 * Y3 * Y2^-1, (R * Y1)^2, (R * Y3)^2, Y2^-2 * Y3 * Y1 * Y2^-1 * Y1 ]
Map:: non-degenerate
	R = (1, 19, 2, 20, 7, 25, 4, 22, 9, 27, 5, 23)(3, 21, 8, 26, 15, 33, 12, 30, 17, 35, 13, 31)(6, 24, 10, 28, 16, 34, 14, 32, 18, 36, 11, 29)(37, 55, 39, 57, 47, 65, 41, 59, 49, 67, 54, 72, 45, 63, 53, 71, 50, 68, 40, 58, 48, 66, 52, 70, 43, 61, 51, 69, 46, 64, 38, 56, 44, 62, 42, 60)
	L = (1, 40)(2, 45)(3, 48)(4, 37)(5, 43)(6, 50)(7, 41)(8, 53)(9, 38)(10, 54)(11, 52)(12, 39)(13, 51)(14, 42)(15, 49)(16, 47)(17, 44)(18, 46)(19, 55)(20, 56)(21, 57)(22, 58)(23, 59)(24, 60)(25, 61)(26, 62)(27, 63)(28, 64)(29, 65)(30, 66)(31, 67)(32, 68)(33, 69)(34, 70)(35, 71)(36, 72)
	local type(s) :: { ( 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18 ), ( 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18 ) }
Outer automorphisms :: reflexible
Dual of E13.133
Graph:: bipartite
	v = 4 e = 36 f = 8
	degree seq :: [ 12^3, 36 ]

E13.138 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 6, 9, 18})
Quotient :: dipole
Aut^+ = C18 (small group id <18, 2>)
Aut   = D36 (small group id <36, 4>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y3, Y2^-3 * Y3, (R * Y1)^2, Y2^-1 * Y3 * Y2 * Y1^-1, (R * Y3)^2, (Y2^-1 * R)^2, Y1^-1 * Y2^-2 * Y1^2 * Y2^-1, Y1^6, (Y3^-1 * Y1^-1)^3, Y2^2 * Y3 * Y2 * Y3^4 ]
Map:: non-degenerate
	R = (1, 19, 2, 20, 6, 24, 12, 30, 10, 28, 4, 22)(3, 21, 7, 25, 13, 31, 17, 35, 15, 33, 9, 27)(5, 23, 8, 26, 14, 32, 18, 36, 16, 34, 11, 29)(37, 55, 39, 57, 44, 62, 38, 56, 43, 61, 50, 68, 42, 60, 49, 67, 54, 72, 48, 66, 53, 71, 52, 70, 46, 64, 51, 69, 47, 65, 40, 58, 45, 63, 41, 59)
	L = (1, 38)(2, 42)(3, 43)(4, 37)(5, 44)(6, 48)(7, 49)(8, 50)(9, 39)(10, 40)(11, 41)(12, 46)(13, 53)(14, 54)(15, 45)(16, 47)(17, 51)(18, 52)(19, 55)(20, 56)(21, 57)(22, 58)(23, 59)(24, 60)(25, 61)(26, 62)(27, 63)(28, 64)(29, 65)(30, 66)(31, 67)(32, 68)(33, 69)(34, 70)(35, 71)(36, 72)
	local type(s) :: { ( 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18 ), ( 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18 ) }
Outer automorphisms :: reflexible
Dual of E13.135
Graph:: bipartite
	v = 4 e = 36 f = 8
	degree seq :: [ 12^3, 36 ]

E13.139 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 6, 9, 18})
Quotient :: dipole
Aut^+ = C18 (small group id <18, 2>)
Aut   = D36 (small group id <36, 4>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y1^-1, Y2^-3 * Y1^-1, (Y3^-1, Y2^-1), (Y2^-1 * R)^2, (R * Y1)^2, (R * Y3)^2, Y1^6, (Y3^-1 * Y1^-1)^3, Y2^-1 * Y3^2 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 19, 2, 20, 6, 24, 12, 30, 11, 29, 4, 22)(3, 21, 7, 25, 13, 31, 17, 35, 16, 34, 10, 28)(5, 23, 8, 26, 14, 32, 18, 36, 15, 33, 9, 27)(37, 55, 39, 57, 45, 63, 40, 58, 46, 64, 51, 69, 47, 65, 52, 70, 54, 72, 48, 66, 53, 71, 50, 68, 42, 60, 49, 67, 44, 62, 38, 56, 43, 61, 41, 59)
	L = (1, 38)(2, 42)(3, 43)(4, 37)(5, 44)(6, 48)(7, 49)(8, 50)(9, 41)(10, 39)(11, 40)(12, 47)(13, 53)(14, 54)(15, 45)(16, 46)(17, 52)(18, 51)(19, 55)(20, 56)(21, 57)(22, 58)(23, 59)(24, 60)(25, 61)(26, 62)(27, 63)(28, 64)(29, 65)(30, 66)(31, 67)(32, 68)(33, 69)(34, 70)(35, 71)(36, 72)
	local type(s) :: { ( 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18 ), ( 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18 ) }
Outer automorphisms :: reflexible
Dual of E13.132
Graph:: bipartite
	v = 4 e = 36 f = 8
	degree seq :: [ 12^3, 36 ]

E13.140 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 18, 18, 18})
Quotient :: dipole
Aut^+ = C18 (small group id <18, 2>)
Aut   = D36 (small group id <36, 4>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y1 * Y3 * Y2, Y1 * Y2 * Y3, (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, Y3^9, Y2^6 * Y3^-3, (Y3 * Y2^-1)^18 ]
Map:: non-degenerate
	R = (1, 19, 2, 20)(3, 21, 6, 24)(4, 22, 5, 23)(7, 25, 8, 26)(9, 27, 10, 28)(11, 29, 12, 30)(13, 31, 14, 32)(15, 33, 16, 34)(17, 35, 18, 36)(37, 55, 39, 57, 43, 61, 47, 65, 51, 69, 54, 72, 49, 67, 46, 64, 40, 58, 38, 56, 42, 60, 44, 62, 48, 66, 52, 70, 53, 71, 50, 68, 45, 63, 41, 59)
	L = (1, 40)(2, 41)(3, 38)(4, 45)(5, 46)(6, 37)(7, 42)(8, 39)(9, 49)(10, 50)(11, 44)(12, 43)(13, 53)(14, 54)(15, 48)(16, 47)(17, 51)(18, 52)(19, 55)(20, 56)(21, 57)(22, 58)(23, 59)(24, 60)(25, 61)(26, 62)(27, 63)(28, 64)(29, 65)(30, 66)(31, 67)(32, 68)(33, 69)(34, 70)(35, 71)(36, 72)
	local type(s) :: { ( 36^4 ), ( 36^36 ) }
Outer automorphisms :: reflexible
Dual of E13.141
Graph:: bipartite
	v = 10 e = 36 f = 2
	degree seq :: [ 4^9, 36 ]

E13.141 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 18, 18, 18})
Quotient :: dipole
Aut^+ = C18 (small group id <18, 2>)
Aut   = D36 (small group id <36, 4>)
|r| :: 2
Presentation :: [ R^2, Y2^-2 * Y3, Y1^2 * Y3^2, (Y1^-1 * Y3^-1)^2, (Y1, Y3^-1), (R * Y1)^2, (R * Y3)^2, (Y2^-1, Y1^-1), (R * Y2)^2, Y2^-1 * Y1 * Y3^-3, Y1 * Y2 * Y1 * Y3 * Y2 ]
Map:: non-degenerate
	R = (1, 19, 2, 20, 8, 26, 13, 31, 17, 35, 6, 24, 11, 29, 16, 34, 4, 22, 10, 28, 7, 25, 12, 30, 14, 32, 3, 21, 9, 27, 18, 36, 15, 33, 5, 23)(37, 55, 39, 57, 40, 58, 49, 67, 51, 69, 48, 66, 47, 65, 38, 56, 45, 63, 46, 64, 53, 71, 41, 59, 50, 68, 52, 70, 44, 62, 54, 72, 43, 61, 42, 60)
	L = (1, 40)(2, 46)(3, 49)(4, 51)(5, 52)(6, 39)(7, 37)(8, 43)(9, 53)(10, 41)(11, 45)(12, 38)(13, 48)(14, 44)(15, 47)(16, 54)(17, 50)(18, 42)(19, 55)(20, 56)(21, 57)(22, 58)(23, 59)(24, 60)(25, 61)(26, 62)(27, 63)(28, 64)(29, 65)(30, 66)(31, 67)(32, 68)(33, 69)(34, 70)(35, 71)(36, 72)
	local type(s) :: { ( 4, 36, 4, 36, 4, 36, 4, 36, 4, 36, 4, 36, 4, 36, 4, 36, 4, 36, 4, 36, 4, 36, 4, 36, 4, 36, 4, 36, 4, 36, 4, 36, 4, 36, 4, 36 ) }
Outer automorphisms :: reflexible
Dual of E13.140
Graph:: bipartite
	v = 2 e = 36 f = 10
	degree seq :: [ 36^2 ]

E13.142 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {4, 4, 5, 10})
Quotient :: edge^2
Aut^+ = C5 : C4 (small group id <20, 1>)
Aut   = (C10 x C2) : C2 (small group id <40, 8>)
|r| :: 2
Presentation :: [ R^2, Y2^-1 * Y1, Y1^4, R * Y1 * R * Y2, Y3 * Y1 * Y3 * Y1^-1, (R * Y3)^2, Y2^4, Y3^5, Y3 * Y1^-1 * Y2^-1 * Y1^-1 * Y3^-1 * Y2^-1 * Y1^-1 * Y3^-1 * Y2^-1 * Y1^-1 * Y3^-1 * Y2^-1 * Y1^-1 * Y3^-1 * Y2^-1 * Y1^-1 * Y3^-1 * Y2^-1 * Y1^-1 * Y3^-1 * Y2^-1 * Y1^-1 * Y3^-1 * Y2^-1 * Y1^-1 * Y3^-1 * Y2^-1 * Y1^-1 * Y3^-1 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 21, 3, 23, 9, 29, 12, 32, 5, 25)(2, 22, 7, 27, 15, 35, 16, 36, 8, 28)(4, 24, 11, 31, 18, 38, 17, 37, 10, 30)(6, 26, 13, 33, 19, 39, 20, 40, 14, 34)(41, 42, 46, 44)(43, 48, 53, 50)(45, 47, 54, 51)(49, 56, 59, 57)(52, 55, 60, 58)(61, 62, 66, 64)(63, 68, 73, 70)(65, 67, 74, 71)(69, 76, 79, 77)(72, 75, 80, 78)
	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) :: { ( 40^4 ), ( 40^10 ) }
Outer automorphisms :: reflexible
Dual of E13.148
Graph:: simple bipartite
	v = 14 e = 40 f = 2
	degree seq :: [ 4^10, 10^4 ]

E13.143 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {4, 4, 5, 10})
Quotient :: edge^2
Aut^+ = C5 : C4 (small group id <20, 1>)
Aut   = (C10 x C2) : C2 (small group id <40, 8>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y2^-1 * Y3^-1, Y1 * Y3 * Y2^-1, Y1^4, Y2^4, Y2 * Y1^2 * Y2, R * Y2 * R * Y1, (R * Y3)^2, Y3^5, Y3^-2 * Y2 * Y3^2 * Y1^-1, Y1^-1 * Y3^-1 * Y2 * Y1 * 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, 21, 4, 24, 13, 33, 16, 36, 7, 27)(2, 22, 3, 23, 12, 32, 18, 38, 10, 30)(5, 25, 6, 26, 15, 35, 20, 40, 14, 34)(8, 28, 9, 29, 17, 37, 19, 39, 11, 31)(41, 42, 48, 45)(43, 51, 46, 47)(44, 50, 49, 54)(52, 59, 55, 56)(53, 58, 57, 60)(61, 63, 68, 66)(62, 69, 65, 64)(67, 72, 71, 75)(70, 77, 74, 73)(76, 78, 79, 80)
	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) :: { ( 40^4 ), ( 40^10 ) }
Outer automorphisms :: reflexible
Dual of E13.149
Graph:: simple bipartite
	v = 14 e = 40 f = 2
	degree seq :: [ 4^10, 10^4 ]

E13.144 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {4, 4, 5, 10})
Quotient :: edge^2
Aut^+ = C5 : C4 (small group id <20, 1>)
Aut   = (C10 x C2) : C2 (small group id <40, 8>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y1^-1, R * Y1 * R * Y2, Y1^4, (R * Y3)^2, Y3 * Y1 * Y3 * Y1^-1, Y2^4, Y3^-2 * Y1^2 * Y3^-3, Y3 * Y1^-1 * Y2^-1 * Y1^-1 * Y3^-1 * Y2^-1 * Y1^-1 * Y3^-1 * Y2^-1 * Y1^-1 * Y3^-1 * Y2^-1 * Y1^-1 * Y3^-1 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 21, 3, 23, 9, 29, 17, 37, 14, 34, 6, 26, 13, 33, 20, 40, 12, 32, 5, 25)(2, 22, 7, 27, 15, 35, 18, 38, 10, 30, 4, 24, 11, 31, 19, 39, 16, 36, 8, 28)(41, 42, 46, 44)(43, 48, 53, 50)(45, 47, 54, 51)(49, 56, 60, 58)(52, 55, 57, 59)(61, 62, 66, 64)(63, 68, 73, 70)(65, 67, 74, 71)(69, 76, 80, 78)(72, 75, 77, 79)
	L = (1, 41)(2, 42)(3, 43)(4, 44)(5, 45)(6, 46)(7, 47)(8, 48)(9, 49)(10, 50)(11, 51)(12, 52)(13, 53)(14, 54)(15, 55)(16, 56)(17, 57)(18, 58)(19, 59)(20, 60)(21, 61)(22, 62)(23, 63)(24, 64)(25, 65)(26, 66)(27, 67)(28, 68)(29, 69)(30, 70)(31, 71)(32, 72)(33, 73)(34, 74)(35, 75)(36, 76)(37, 77)(38, 78)(39, 79)(40, 80)
	local type(s) :: { ( 20^4 ), ( 20^20 ) }
Outer automorphisms :: reflexible
Dual of E13.146
Graph:: bipartite
	v = 12 e = 40 f = 4
	degree seq :: [ 4^10, 20^2 ]

E13.145 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {4, 4, 5, 10})
Quotient :: edge^2
Aut^+ = C5 : C4 (small group id <20, 1>)
Aut   = (C10 x C2) : C2 (small group id <40, 8>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y3 * Y2, Y1 * Y2 * Y3^-1, Y2^2 * Y1^-2, Y1^4, (R * Y3)^2, R * Y2 * R * Y1, Y2^-1 * Y3^4 * Y1 ]
Map:: non-degenerate
	R = (1, 21, 4, 24, 13, 33, 19, 39, 12, 32, 8, 28, 9, 29, 17, 37, 16, 36, 7, 27)(2, 22, 6, 26, 15, 35, 20, 40, 14, 34, 5, 25, 3, 23, 11, 31, 18, 38, 10, 30)(41, 42, 48, 45)(43, 47, 46, 52)(44, 50, 49, 54)(51, 56, 55, 59)(53, 58, 57, 60)(61, 63, 68, 66)(62, 64, 65, 69)(67, 71, 72, 75)(70, 73, 74, 77)(76, 78, 79, 80)
	L = (1, 41)(2, 42)(3, 43)(4, 44)(5, 45)(6, 46)(7, 47)(8, 48)(9, 49)(10, 50)(11, 51)(12, 52)(13, 53)(14, 54)(15, 55)(16, 56)(17, 57)(18, 58)(19, 59)(20, 60)(21, 61)(22, 62)(23, 63)(24, 64)(25, 65)(26, 66)(27, 67)(28, 68)(29, 69)(30, 70)(31, 71)(32, 72)(33, 73)(34, 74)(35, 75)(36, 76)(37, 77)(38, 78)(39, 79)(40, 80)
	local type(s) :: { ( 20^4 ), ( 20^20 ) }
Outer automorphisms :: reflexible
Dual of E13.147
Graph:: bipartite
	v = 12 e = 40 f = 4
	degree seq :: [ 4^10, 20^2 ]

E13.146 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {4, 4, 5, 10})
Quotient :: loop^2
Aut^+ = C5 : C4 (small group id <20, 1>)
Aut   = (C10 x C2) : C2 (small group id <40, 8>)
|r| :: 2
Presentation :: [ R^2, Y2^-1 * Y1, Y1^4, R * Y1 * R * Y2, Y3 * Y1 * Y3 * Y1^-1, (R * Y3)^2, Y2^4, Y3^5, Y3 * Y1^-1 * Y2^-1 * Y1^-1 * Y3^-1 * Y2^-1 * Y1^-1 * Y3^-1 * Y2^-1 * Y1^-1 * Y3^-1 * Y2^-1 * Y1^-1 * Y3^-1 * Y2^-1 * Y1^-1 * Y3^-1 * Y2^-1 * Y1^-1 * Y3^-1 * Y2^-1 * Y1^-1 * Y3^-1 * Y2^-1 * Y1^-1 * Y3^-1 * Y2^-1 * Y1^-1 * Y3^-1 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 21, 41, 61, 3, 23, 43, 63, 9, 29, 49, 69, 12, 32, 52, 72, 5, 25, 45, 65)(2, 22, 42, 62, 7, 27, 47, 67, 15, 35, 55, 75, 16, 36, 56, 76, 8, 28, 48, 68)(4, 24, 44, 64, 11, 31, 51, 71, 18, 38, 58, 78, 17, 37, 57, 77, 10, 30, 50, 70)(6, 26, 46, 66, 13, 33, 53, 73, 19, 39, 59, 79, 20, 40, 60, 80, 14, 34, 54, 74)
	L = (1, 22)(2, 26)(3, 28)(4, 21)(5, 27)(6, 24)(7, 34)(8, 33)(9, 36)(10, 23)(11, 25)(12, 35)(13, 30)(14, 31)(15, 40)(16, 39)(17, 29)(18, 32)(19, 37)(20, 38)(41, 62)(42, 66)(43, 68)(44, 61)(45, 67)(46, 64)(47, 74)(48, 73)(49, 76)(50, 63)(51, 65)(52, 75)(53, 70)(54, 71)(55, 80)(56, 79)(57, 69)(58, 72)(59, 77)(60, 78)
	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 E13.144
Transitivity :: VT+
Graph:: bipartite
	v = 4 e = 40 f = 12
	degree seq :: [ 20^4 ]

E13.147 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {4, 4, 5, 10})
Quotient :: loop^2
Aut^+ = C5 : C4 (small group id <20, 1>)
Aut   = (C10 x C2) : C2 (small group id <40, 8>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y2^-1 * Y3^-1, Y1 * Y3 * Y2^-1, Y1^4, Y2^4, Y2 * Y1^2 * Y2, R * Y2 * R * Y1, (R * Y3)^2, Y3^5, Y3^-2 * Y2 * Y3^2 * Y1^-1, Y1^-1 * Y3^-1 * Y2 * Y1 * 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, 21, 41, 61, 4, 24, 44, 64, 13, 33, 53, 73, 16, 36, 56, 76, 7, 27, 47, 67)(2, 22, 42, 62, 3, 23, 43, 63, 12, 32, 52, 72, 18, 38, 58, 78, 10, 30, 50, 70)(5, 25, 45, 65, 6, 26, 46, 66, 15, 35, 55, 75, 20, 40, 60, 80, 14, 34, 54, 74)(8, 28, 48, 68, 9, 29, 49, 69, 17, 37, 57, 77, 19, 39, 59, 79, 11, 31, 51, 71)
	L = (1, 22)(2, 28)(3, 31)(4, 30)(5, 21)(6, 27)(7, 23)(8, 25)(9, 34)(10, 29)(11, 26)(12, 39)(13, 38)(14, 24)(15, 36)(16, 32)(17, 40)(18, 37)(19, 35)(20, 33)(41, 63)(42, 69)(43, 68)(44, 62)(45, 64)(46, 61)(47, 72)(48, 66)(49, 65)(50, 77)(51, 75)(52, 71)(53, 70)(54, 73)(55, 67)(56, 78)(57, 74)(58, 79)(59, 80)(60, 76)
	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 E13.145
Transitivity :: VT+
Graph:: bipartite
	v = 4 e = 40 f = 12
	degree seq :: [ 20^4 ]

E13.148 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {4, 4, 5, 10})
Quotient :: loop^2
Aut^+ = C5 : C4 (small group id <20, 1>)
Aut   = (C10 x C2) : C2 (small group id <40, 8>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y1^-1, R * Y1 * R * Y2, Y1^4, (R * Y3)^2, Y3 * Y1 * Y3 * Y1^-1, Y2^4, Y3^-2 * Y1^2 * Y3^-3, Y3 * Y1^-1 * Y2^-1 * Y1^-1 * Y3^-1 * Y2^-1 * Y1^-1 * Y3^-1 * Y2^-1 * Y1^-1 * Y3^-1 * Y2^-1 * Y1^-1 * Y3^-1 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 21, 41, 61, 3, 23, 43, 63, 9, 29, 49, 69, 17, 37, 57, 77, 14, 34, 54, 74, 6, 26, 46, 66, 13, 33, 53, 73, 20, 40, 60, 80, 12, 32, 52, 72, 5, 25, 45, 65)(2, 22, 42, 62, 7, 27, 47, 67, 15, 35, 55, 75, 18, 38, 58, 78, 10, 30, 50, 70, 4, 24, 44, 64, 11, 31, 51, 71, 19, 39, 59, 79, 16, 36, 56, 76, 8, 28, 48, 68)
	L = (1, 22)(2, 26)(3, 28)(4, 21)(5, 27)(6, 24)(7, 34)(8, 33)(9, 36)(10, 23)(11, 25)(12, 35)(13, 30)(14, 31)(15, 37)(16, 40)(17, 39)(18, 29)(19, 32)(20, 38)(41, 62)(42, 66)(43, 68)(44, 61)(45, 67)(46, 64)(47, 74)(48, 73)(49, 76)(50, 63)(51, 65)(52, 75)(53, 70)(54, 71)(55, 77)(56, 80)(57, 79)(58, 69)(59, 72)(60, 78)
	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 E13.142
Transitivity :: VT+
Graph:: bipartite
	v = 2 e = 40 f = 14
	degree seq :: [ 40^2 ]

E13.149 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {4, 4, 5, 10})
Quotient :: loop^2
Aut^+ = C5 : C4 (small group id <20, 1>)
Aut   = (C10 x C2) : C2 (small group id <40, 8>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y3 * Y2, Y1 * Y2 * Y3^-1, Y2^2 * Y1^-2, Y1^4, (R * Y3)^2, R * Y2 * R * Y1, Y2^-1 * Y3^4 * Y1 ]
Map:: non-degenerate
	R = (1, 21, 41, 61, 4, 24, 44, 64, 13, 33, 53, 73, 19, 39, 59, 79, 12, 32, 52, 72, 8, 28, 48, 68, 9, 29, 49, 69, 17, 37, 57, 77, 16, 36, 56, 76, 7, 27, 47, 67)(2, 22, 42, 62, 6, 26, 46, 66, 15, 35, 55, 75, 20, 40, 60, 80, 14, 34, 54, 74, 5, 25, 45, 65, 3, 23, 43, 63, 11, 31, 51, 71, 18, 38, 58, 78, 10, 30, 50, 70)
	L = (1, 22)(2, 28)(3, 27)(4, 30)(5, 21)(6, 32)(7, 26)(8, 25)(9, 34)(10, 29)(11, 36)(12, 23)(13, 38)(14, 24)(15, 39)(16, 35)(17, 40)(18, 37)(19, 31)(20, 33)(41, 63)(42, 64)(43, 68)(44, 65)(45, 69)(46, 61)(47, 71)(48, 66)(49, 62)(50, 73)(51, 72)(52, 75)(53, 74)(54, 77)(55, 67)(56, 78)(57, 70)(58, 79)(59, 80)(60, 76)
	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 E13.143
Transitivity :: VT+
Graph:: bipartite
	v = 2 e = 40 f = 14
	degree seq :: [ 40^2 ]

E13.150 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 5, 10})
Quotient :: dipole
Aut^+ = C5 : C4 (small group id <20, 1>)
Aut   = (C10 x C2) : C2 (small group id <40, 8>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y1 * Y3 * Y1, Y1 * Y2^-1 * Y1^-1 * Y2^-1, (R * Y3)^2, Y3 * Y2 * Y3 * Y2^-1, (Y2^-1 * R)^2, (R * Y1)^2, Y2^5 ]
Map:: non-degenerate
	R = (1, 21, 2, 22, 4, 24, 5, 25)(3, 23, 8, 28, 10, 30, 11, 31)(6, 26, 7, 27, 12, 32, 13, 33)(9, 29, 16, 36, 17, 37, 18, 38)(14, 34, 15, 35, 19, 39, 20, 40)(41, 61, 43, 63, 49, 69, 54, 74, 46, 66)(42, 62, 47, 67, 55, 75, 56, 76, 48, 68)(44, 64, 50, 70, 57, 77, 59, 79, 52, 72)(45, 65, 53, 73, 60, 80, 58, 78, 51, 71)
	L = (1, 44)(2, 45)(3, 50)(4, 41)(5, 42)(6, 52)(7, 53)(8, 51)(9, 57)(10, 43)(11, 48)(12, 46)(13, 47)(14, 59)(15, 60)(16, 58)(17, 49)(18, 56)(19, 54)(20, 55)(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) :: { ( 8, 20, 8, 20, 8, 20, 8, 20 ), ( 8, 20, 8, 20, 8, 20, 8, 20, 8, 20 ) }
Outer automorphisms :: reflexible
Dual of E13.154
Graph:: bipartite
	v = 9 e = 40 f = 7
	degree seq :: [ 8^5, 10^4 ]

E13.151 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 5, 10})
Quotient :: dipole
Aut^+ = C5 : C4 (small group id <20, 1>)
Aut   = (C10 x C2) : C2 (small group id <40, 8>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3 * Y1^2, Y2 * Y1 * Y2 * Y1^-1, Y2^-1 * Y1^-1 * Y3 * Y1^-1, (R * Y3)^2, Y2 * Y3 * Y1^-2, Y2 * Y1^-1 * Y3^-1 * Y1^-1, Y3^-1 * Y1^2 * Y2^-1, (R * Y1)^2, (R * Y2)^2, Y2^2 * Y3^-1 * Y2 * Y3^-1, Y2^5 ]
Map:: non-degenerate
	R = (1, 21, 2, 22, 8, 28, 5, 25)(3, 23, 11, 31, 7, 27, 10, 30)(4, 24, 12, 32, 6, 26, 9, 29)(13, 33, 19, 39, 14, 34, 20, 40)(15, 35, 17, 37, 16, 36, 18, 38)(41, 61, 43, 63, 53, 73, 55, 75, 46, 66)(42, 62, 49, 69, 57, 77, 59, 79, 51, 71)(44, 64, 48, 68, 47, 67, 54, 74, 56, 76)(45, 65, 52, 72, 58, 78, 60, 80, 50, 70)
	L = (1, 44)(2, 50)(3, 48)(4, 55)(5, 51)(6, 56)(7, 41)(8, 46)(9, 45)(10, 59)(11, 60)(12, 42)(13, 47)(14, 43)(15, 54)(16, 53)(17, 52)(18, 49)(19, 58)(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) :: { ( 8, 20, 8, 20, 8, 20, 8, 20 ), ( 8, 20, 8, 20, 8, 20, 8, 20, 8, 20 ) }
Outer automorphisms :: reflexible
Dual of E13.156
Graph:: bipartite
	v = 9 e = 40 f = 7
	degree seq :: [ 8^5, 10^4 ]

E13.152 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 5, 10})
Quotient :: dipole
Aut^+ = C5 : C4 (small group id <20, 1>)
Aut   = (C10 x C2) : C2 (small group id <40, 8>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y2^-1 * Y3, Y3 * Y1 * Y3 * Y1^-1, (R * Y2)^2, (R * Y3)^2, (R * Y1)^2, Y1^4, Y1^-1 * Y2^-1 * Y1 * Y2^-1, Y2^-1 * Y1 * Y3 * Y1 * Y2^-1, Y1^-2 * Y3^-1 * Y2^-2, Y2^5 ]
Map:: non-degenerate
	R = (1, 21, 2, 22, 8, 28, 5, 25)(3, 23, 11, 31, 20, 40, 15, 35)(4, 24, 12, 32, 19, 39, 16, 36)(6, 26, 9, 29, 14, 34, 17, 37)(7, 27, 10, 30, 13, 33, 18, 38)(41, 61, 43, 63, 53, 73, 59, 79, 46, 66)(42, 62, 49, 69, 56, 76, 58, 78, 51, 71)(44, 64, 54, 74, 48, 68, 60, 80, 47, 67)(45, 65, 57, 77, 52, 72, 50, 70, 55, 75)
	L = (1, 44)(2, 50)(3, 54)(4, 43)(5, 58)(6, 47)(7, 41)(8, 59)(9, 55)(10, 49)(11, 52)(12, 42)(13, 48)(14, 53)(15, 56)(16, 45)(17, 51)(18, 57)(19, 60)(20, 46)(21, 61)(22, 62)(23, 63)(24, 64)(25, 65)(26, 66)(27, 67)(28, 68)(29, 69)(30, 70)(31, 71)(32, 72)(33, 73)(34, 74)(35, 75)(36, 76)(37, 77)(38, 78)(39, 79)(40, 80)
	local type(s) :: { ( 8, 20, 8, 20, 8, 20, 8, 20 ), ( 8, 20, 8, 20, 8, 20, 8, 20, 8, 20 ) }
Outer automorphisms :: reflexible
Dual of E13.155
Graph:: bipartite
	v = 9 e = 40 f = 7
	degree seq :: [ 8^5, 10^4 ]

E13.153 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 5, 10})
Quotient :: dipole
Aut^+ = C5 : C4 (small group id <20, 1>)
Aut   = (C10 x C2) : C2 (small group id <40, 8>)
|r| :: 2
Presentation :: [ R^2, Y3^2 * Y2, (R * Y2)^2, (R * Y3)^2, (R * Y1)^2, Y3 * Y1 * Y3 * Y1^-1, Y1^4, Y2^-1 * Y1 * Y2^-1 * Y1^-1, Y1^-2 * Y3^-1 * Y2^2, Y1^-2 * Y3 * Y2^-2, Y2^5, (Y3 * Y2^-1)^10 ]
Map:: non-degenerate
	R = (1, 21, 2, 22, 8, 28, 5, 25)(3, 23, 11, 31, 17, 37, 14, 34)(4, 24, 12, 32, 13, 33, 16, 36)(6, 26, 9, 29, 15, 35, 18, 38)(7, 27, 10, 30, 20, 40, 19, 39)(41, 61, 43, 63, 53, 73, 60, 80, 46, 66)(42, 62, 49, 69, 59, 79, 56, 76, 51, 71)(44, 64, 47, 67, 55, 75, 48, 68, 57, 77)(45, 65, 58, 78, 50, 70, 52, 72, 54, 74)
	L = (1, 44)(2, 50)(3, 47)(4, 46)(5, 59)(6, 57)(7, 41)(8, 53)(9, 52)(10, 51)(11, 58)(12, 42)(13, 55)(14, 49)(15, 43)(16, 45)(17, 60)(18, 56)(19, 54)(20, 48)(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) :: { ( 8, 20, 8, 20, 8, 20, 8, 20 ), ( 8, 20, 8, 20, 8, 20, 8, 20, 8, 20 ) }
Outer automorphisms :: reflexible
Dual of E13.157
Graph:: bipartite
	v = 9 e = 40 f = 7
	degree seq :: [ 8^5, 10^4 ]

E13.154 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 5, 10})
Quotient :: dipole
Aut^+ = C5 : C4 (small group id <20, 1>)
Aut   = (C10 x C2) : C2 (small group id <40, 8>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2^2 * Y3, Y2 * Y1^-1 * Y2^-1 * Y1^-1, (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, Y3 * Y1 * Y3 * Y1^-1, Y3 * Y1^-5 ]
Map:: non-degenerate
	R = (1, 21, 2, 22, 7, 27, 15, 35, 12, 32, 4, 24, 9, 29, 17, 37, 13, 33, 5, 25)(3, 23, 11, 31, 19, 39, 18, 38, 10, 30, 6, 26, 14, 34, 20, 40, 16, 36, 8, 28)(41, 61, 43, 63, 44, 64, 46, 66)(42, 62, 48, 68, 49, 69, 50, 70)(45, 65, 51, 71, 52, 72, 54, 74)(47, 67, 56, 76, 57, 77, 58, 78)(53, 73, 59, 79, 55, 75, 60, 80)
	L = (1, 44)(2, 49)(3, 46)(4, 41)(5, 52)(6, 43)(7, 57)(8, 50)(9, 42)(10, 48)(11, 54)(12, 45)(13, 55)(14, 51)(15, 53)(16, 58)(17, 47)(18, 56)(19, 60)(20, 59)(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) :: { ( 8, 10, 8, 10, 8, 10, 8, 10 ), ( 8, 10, 8, 10, 8, 10, 8, 10, 8, 10, 8, 10, 8, 10, 8, 10, 8, 10, 8, 10 ) }
Outer automorphisms :: reflexible
Dual of E13.150
Graph:: bipartite
	v = 7 e = 40 f = 9
	degree seq :: [ 8^5, 20^2 ]

E13.155 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 5, 10})
Quotient :: dipole
Aut^+ = C5 : C4 (small group id <20, 1>)
Aut   = (C10 x C2) : C2 (small group id <40, 8>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1, Y2^4, Y1^-1 * Y2 * Y1^-1 * Y2^-1, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y1^3 * Y2^-1 * Y1^-2 * Y2^-1, (Y3 * Y2^-1)^4, (Y3^-1 * Y1^-1)^5 ]
Map:: non-degenerate
	R = (1, 21, 2, 22, 6, 26, 13, 33, 18, 38, 10, 30, 16, 36, 19, 39, 11, 31, 4, 24)(3, 23, 9, 29, 17, 37, 15, 35, 8, 28, 5, 25, 12, 32, 20, 40, 14, 34, 7, 27)(41, 61, 43, 63, 50, 70, 45, 65)(42, 62, 47, 67, 56, 76, 48, 68)(44, 64, 49, 69, 58, 78, 52, 72)(46, 66, 54, 74, 59, 79, 55, 75)(51, 71, 57, 77, 53, 73, 60, 80)
	L = (1, 42)(2, 46)(3, 49)(4, 41)(5, 52)(6, 53)(7, 43)(8, 45)(9, 57)(10, 56)(11, 44)(12, 60)(13, 58)(14, 47)(15, 48)(16, 59)(17, 55)(18, 50)(19, 51)(20, 54)(21, 61)(22, 62)(23, 63)(24, 64)(25, 65)(26, 66)(27, 67)(28, 68)(29, 69)(30, 70)(31, 71)(32, 72)(33, 73)(34, 74)(35, 75)(36, 76)(37, 77)(38, 78)(39, 79)(40, 80)
	local type(s) :: { ( 8, 10, 8, 10, 8, 10, 8, 10 ), ( 8, 10, 8, 10, 8, 10, 8, 10, 8, 10, 8, 10, 8, 10, 8, 10, 8, 10, 8, 10 ) }
Outer automorphisms :: reflexible
Dual of E13.152
Graph:: bipartite
	v = 7 e = 40 f = 9
	degree seq :: [ 8^5, 20^2 ]

E13.156 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 5, 10})
Quotient :: dipole
Aut^+ = C5 : C4 (small group id <20, 1>)
Aut   = (C10 x C2) : C2 (small group id <40, 8>)
|r| :: 2
Presentation :: [ R^2, Y3^3 * Y1^-1, (R * Y1)^2, (R * Y3)^2, Y3 * Y2 * Y3 * Y2^-1, Y2 * Y1 * Y2^-1 * Y1, Y2^4, Y1^-2 * Y3^-1 * Y1^-1, Y3^-1 * Y1^-1 * Y2^2 * Y3^-1, Y2^-1 * Y1^-1 * Y3 * Y1^-1 * Y2^-1, Y2 * Y1^-1 * Y3^-2 * Y2, (R * Y2 * Y3^-1)^2 ]
Map:: non-degenerate
	R = (1, 21, 2, 22, 8, 28, 7, 27, 12, 32, 14, 34, 17, 37, 4, 24, 10, 30, 5, 25)(3, 23, 13, 33, 20, 40, 16, 36, 11, 31, 6, 26, 19, 39, 15, 35, 18, 38, 9, 29)(41, 61, 43, 63, 54, 74, 46, 66)(42, 62, 49, 69, 57, 77, 51, 71)(44, 64, 56, 76, 48, 68, 58, 78)(45, 65, 53, 73, 52, 72, 59, 79)(47, 67, 55, 75, 50, 70, 60, 80)
	L = (1, 44)(2, 50)(3, 55)(4, 52)(5, 57)(6, 60)(7, 41)(8, 45)(9, 59)(10, 54)(11, 53)(12, 42)(13, 58)(14, 48)(15, 51)(16, 43)(17, 47)(18, 46)(19, 56)(20, 49)(21, 61)(22, 62)(23, 63)(24, 64)(25, 65)(26, 66)(27, 67)(28, 68)(29, 69)(30, 70)(31, 71)(32, 72)(33, 73)(34, 74)(35, 75)(36, 76)(37, 77)(38, 78)(39, 79)(40, 80)
	local type(s) :: { ( 8, 10, 8, 10, 8, 10, 8, 10 ), ( 8, 10, 8, 10, 8, 10, 8, 10, 8, 10, 8, 10, 8, 10, 8, 10, 8, 10, 8, 10 ) }
Outer automorphisms :: reflexible
Dual of E13.151
Graph:: bipartite
	v = 7 e = 40 f = 9
	degree seq :: [ 8^5, 20^2 ]

E13.157 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 5, 10})
Quotient :: dipole
Aut^+ = C5 : C4 (small group id <20, 1>)
Aut   = (C10 x C2) : C2 (small group id <40, 8>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y3 * Y1^-2, Y3^-1 * Y1^-1 * Y3^-2, (R * Y1)^2, Y3 * Y2 * Y3 * Y2^-1, (Y3^-1, Y1^-1), Y2^4, (R * Y3)^2, Y2 * Y1^-1 * Y2^-1 * Y1^-1, Y2^-1 * Y3^-1 * Y2^-1 * Y1^2, Y1^-1 * Y3 * Y2 * Y3^-1 * Y2, Y2^-1 * Y1^-2 * Y3^-1 * Y2^-1, (R * Y2 * Y3^-1)^2 ]
Map:: non-degenerate
	R = (1, 21, 2, 22, 8, 28, 4, 24, 10, 30, 14, 34, 17, 37, 7, 27, 12, 32, 5, 25)(3, 23, 13, 33, 18, 38, 15, 35, 11, 31, 6, 26, 19, 39, 16, 36, 20, 40, 9, 29)(41, 61, 43, 63, 54, 74, 46, 66)(42, 62, 49, 69, 57, 77, 51, 71)(44, 64, 56, 76, 52, 72, 58, 78)(45, 65, 53, 73, 50, 70, 59, 79)(47, 67, 55, 75, 48, 68, 60, 80)
	L = (1, 44)(2, 50)(3, 55)(4, 57)(5, 48)(6, 60)(7, 41)(8, 54)(9, 58)(10, 47)(11, 56)(12, 42)(13, 51)(14, 52)(15, 59)(16, 43)(17, 45)(18, 46)(19, 49)(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) :: { ( 8, 10, 8, 10, 8, 10, 8, 10 ), ( 8, 10, 8, 10, 8, 10, 8, 10, 8, 10, 8, 10, 8, 10, 8, 10, 8, 10, 8, 10 ) }
Outer automorphisms :: reflexible
Dual of E13.153
Graph:: bipartite
	v = 7 e = 40 f = 9
	degree seq :: [ 8^5, 20^2 ]

E13.158 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 5, 10})
Quotient :: dipole
Aut^+ = C20 (small group id <20, 2>)
Aut   = D40 (small group id <40, 6>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y1^2 * Y3, Y2^-1 * Y3 * Y2 * Y3, (R * Y3)^2, (Y2^-1 * R)^2, (R * Y1)^2, (Y1^-1, Y2^-1), Y2^5 ]
Map:: non-degenerate
	R = (1, 21, 2, 22, 4, 24, 5, 25)(3, 23, 7, 27, 10, 30, 11, 31)(6, 26, 8, 28, 12, 32, 13, 33)(9, 29, 15, 35, 17, 37, 18, 38)(14, 34, 16, 36, 19, 39, 20, 40)(41, 61, 43, 63, 49, 69, 54, 74, 46, 66)(42, 62, 47, 67, 55, 75, 56, 76, 48, 68)(44, 64, 50, 70, 57, 77, 59, 79, 52, 72)(45, 65, 51, 71, 58, 78, 60, 80, 53, 73)
	L = (1, 44)(2, 45)(3, 50)(4, 41)(5, 42)(6, 52)(7, 51)(8, 53)(9, 57)(10, 43)(11, 47)(12, 46)(13, 48)(14, 59)(15, 58)(16, 60)(17, 49)(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) :: { ( 8, 20, 8, 20, 8, 20, 8, 20 ), ( 8, 20, 8, 20, 8, 20, 8, 20, 8, 20 ) }
Outer automorphisms :: reflexible
Dual of E13.159
Graph:: bipartite
	v = 9 e = 40 f = 7
	degree seq :: [ 8^5, 10^4 ]

E13.159 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 5, 10})
Quotient :: dipole
Aut^+ = C20 (small group id <20, 2>)
Aut   = D40 (small group id <40, 6>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2^2 * Y3, (Y2^-1, Y1^-1), (R * Y3)^2, Y1^-1 * Y3 * Y1 * Y3, (R * Y2)^2, (R * Y1)^2, Y1^-5 * Y3 ]
Map:: non-degenerate
	R = (1, 21, 2, 22, 7, 27, 15, 35, 12, 32, 4, 24, 9, 29, 17, 37, 13, 33, 5, 25)(3, 23, 8, 28, 16, 36, 20, 40, 14, 34, 6, 26, 10, 30, 18, 38, 19, 39, 11, 31)(41, 61, 43, 63, 44, 64, 46, 66)(42, 62, 48, 68, 49, 69, 50, 70)(45, 65, 51, 71, 52, 72, 54, 74)(47, 67, 56, 76, 57, 77, 58, 78)(53, 73, 59, 79, 55, 75, 60, 80)
	L = (1, 44)(2, 49)(3, 46)(4, 41)(5, 52)(6, 43)(7, 57)(8, 50)(9, 42)(10, 48)(11, 54)(12, 45)(13, 55)(14, 51)(15, 53)(16, 58)(17, 47)(18, 56)(19, 60)(20, 59)(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) :: { ( 8, 10, 8, 10, 8, 10, 8, 10 ), ( 8, 10, 8, 10, 8, 10, 8, 10, 8, 10, 8, 10, 8, 10, 8, 10, 8, 10, 8, 10 ) }
Outer automorphisms :: reflexible
Dual of E13.158
Graph:: bipartite
	v = 7 e = 40 f = 9
	degree seq :: [ 8^5, 20^2 ]

E13.160 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 10, 10, 10})
Quotient :: dipole
Aut^+ = C10 x C2 (small group id <20, 5>)
Aut   = C2 x C2 x D10 (small group id <40, 13>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (Y3 * Y2)^2, Y3^-2 * Y2^-2, (R * Y3)^2, (R * Y1)^2, (Y2^-1 * R)^2, Y2^-1 * Y1 * Y2 * Y1, Y3 * Y1 * Y3^-1 * Y1, Y3^-2 * Y2^2 * Y3^-1 ]
Map:: non-degenerate
	R = (1, 21, 2, 22)(3, 23, 7, 27)(4, 24, 8, 28)(5, 25, 9, 29)(6, 26, 10, 30)(11, 31, 16, 36)(12, 32, 17, 37)(13, 33, 18, 38)(14, 34, 19, 39)(15, 35, 20, 40)(41, 61, 43, 63, 51, 71, 55, 75, 44, 64, 52, 72, 46, 66, 53, 73, 54, 74, 45, 65)(42, 62, 47, 67, 56, 76, 60, 80, 48, 68, 57, 77, 50, 70, 58, 78, 59, 79, 49, 69)
	L = (1, 44)(2, 48)(3, 52)(4, 54)(5, 55)(6, 41)(7, 57)(8, 59)(9, 60)(10, 42)(11, 46)(12, 45)(13, 43)(14, 51)(15, 53)(16, 50)(17, 49)(18, 47)(19, 56)(20, 58)(21, 61)(22, 62)(23, 63)(24, 64)(25, 65)(26, 66)(27, 67)(28, 68)(29, 69)(30, 70)(31, 71)(32, 72)(33, 73)(34, 74)(35, 75)(36, 76)(37, 77)(38, 78)(39, 79)(40, 80)
	local type(s) :: { ( 20^4 ), ( 20^20 ) }
Outer automorphisms :: reflexible
Dual of E13.166
Graph:: bipartite
	v = 12 e = 40 f = 4
	degree seq :: [ 4^10, 20^2 ]

E13.161 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 10, 10, 10})
Quotient :: dipole
Aut^+ = C10 x C2 (small group id <20, 5>)
Aut   = C2 x C2 x D10 (small group id <40, 13>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^2 * Y3^-1, (R * Y2)^2, (R * Y1)^2, (R * Y3)^2, Y2^-1 * Y1 * Y2 * Y1, Y3 * Y1 * Y3^-1 * Y1, Y3^5 ]
Map:: non-degenerate
	R = (1, 21, 2, 22)(3, 23, 7, 27)(4, 24, 8, 28)(5, 25, 9, 29)(6, 26, 10, 30)(11, 31, 15, 35)(12, 32, 16, 36)(13, 33, 17, 37)(14, 34, 18, 38)(19, 39, 20, 40)(41, 61, 43, 63, 44, 64, 51, 71, 52, 72, 59, 79, 54, 74, 53, 73, 46, 66, 45, 65)(42, 62, 47, 67, 48, 68, 55, 75, 56, 76, 60, 80, 58, 78, 57, 77, 50, 70, 49, 69)
	L = (1, 44)(2, 48)(3, 51)(4, 52)(5, 43)(6, 41)(7, 55)(8, 56)(9, 47)(10, 42)(11, 59)(12, 54)(13, 45)(14, 46)(15, 60)(16, 58)(17, 49)(18, 50)(19, 53)(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) :: { ( 20^4 ), ( 20^20 ) }
Outer automorphisms :: reflexible
Dual of E13.165
Graph:: bipartite
	v = 12 e = 40 f = 4
	degree seq :: [ 4^10, 20^2 ]

E13.162 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 10, 10, 10})
Quotient :: dipole
Aut^+ = C10 x C2 (small group id <20, 5>)
Aut   = C2 x C2 x D10 (small group id <40, 13>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^2 * Y3, (R * Y2)^2, (R * Y1)^2, (R * Y3)^2, Y2^-1 * Y1 * Y2 * Y1, Y3 * Y1 * Y3^-1 * Y1, Y3^5, (Y3^2 * Y2^-1)^2 ]
Map:: non-degenerate
	R = (1, 21, 2, 22)(3, 23, 7, 27)(4, 24, 8, 28)(5, 25, 9, 29)(6, 26, 10, 30)(11, 31, 15, 35)(12, 32, 16, 36)(13, 33, 17, 37)(14, 34, 18, 38)(19, 39, 20, 40)(41, 61, 43, 63, 46, 66, 51, 71, 54, 74, 59, 79, 52, 72, 53, 73, 44, 64, 45, 65)(42, 62, 47, 67, 50, 70, 55, 75, 58, 78, 60, 80, 56, 76, 57, 77, 48, 68, 49, 69)
	L = (1, 44)(2, 48)(3, 45)(4, 52)(5, 53)(6, 41)(7, 49)(8, 56)(9, 57)(10, 42)(11, 43)(12, 54)(13, 59)(14, 46)(15, 47)(16, 58)(17, 60)(18, 50)(19, 51)(20, 55)(21, 61)(22, 62)(23, 63)(24, 64)(25, 65)(26, 66)(27, 67)(28, 68)(29, 69)(30, 70)(31, 71)(32, 72)(33, 73)(34, 74)(35, 75)(36, 76)(37, 77)(38, 78)(39, 79)(40, 80)
	local type(s) :: { ( 20^4 ), ( 20^20 ) }
Outer automorphisms :: reflexible
Dual of E13.164
Graph:: bipartite
	v = 12 e = 40 f = 4
	degree seq :: [ 4^10, 20^2 ]

E13.163 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 10, 10, 10})
Quotient :: dipole
Aut^+ = C10 x C2 (small group id <20, 5>)
Aut   = C2 x C2 x D10 (small group id <40, 13>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (Y3^-1 * Y2^-1)^2, Y2^-1 * Y1 * Y2 * Y1, Y2^-2 * Y3^-2, (R * Y3)^2, (R * Y1)^2, (Y2^-1 * R)^2, Y3 * Y1 * Y3^-1 * Y1, Y3^-2 * Y2 * Y1 * Y2^2 ]
Map:: non-degenerate
	R = (1, 21, 2, 22)(3, 23, 7, 27)(4, 24, 8, 28)(5, 25, 9, 29)(6, 26, 10, 30)(11, 31, 16, 36)(12, 32, 17, 37)(13, 33, 18, 38)(14, 34, 19, 39)(15, 35, 20, 40)(41, 61, 43, 63, 51, 71, 59, 79, 49, 69, 42, 62, 47, 67, 56, 76, 54, 74, 45, 65)(44, 64, 52, 72, 46, 66, 53, 73, 60, 80, 48, 68, 57, 77, 50, 70, 58, 78, 55, 75)
	L = (1, 44)(2, 48)(3, 52)(4, 54)(5, 55)(6, 41)(7, 57)(8, 59)(9, 60)(10, 42)(11, 46)(12, 45)(13, 43)(14, 58)(15, 56)(16, 50)(17, 49)(18, 47)(19, 53)(20, 51)(21, 61)(22, 62)(23, 63)(24, 64)(25, 65)(26, 66)(27, 67)(28, 68)(29, 69)(30, 70)(31, 71)(32, 72)(33, 73)(34, 74)(35, 75)(36, 76)(37, 77)(38, 78)(39, 79)(40, 80)
	local type(s) :: { ( 20^4 ), ( 20^20 ) }
Outer automorphisms :: reflexible
Dual of E13.167
Graph:: bipartite
	v = 12 e = 40 f = 4
	degree seq :: [ 4^10, 20^2 ]

E13.164 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 10, 10, 10})
Quotient :: dipole
Aut^+ = C10 x C2 (small group id <20, 5>)
Aut   = C2 x C2 x D10 (small group id <40, 13>)
|r| :: 2
Presentation :: [ R^2, (Y1^-1 * Y3^-1)^2, (Y2 * Y1^-1)^2, (Y2, Y1^-1), (Y3^-1 * Y2^-1)^2, Y2^-1 * Y3^-2 * Y2^-1, Y1^2 * Y2^-2, (R * Y1)^2, (Y1^-1, Y3), (Y2^-1 * R)^2, (R * Y3)^2, (Y3, Y2^-1), Y3^-1 * Y1 * Y2^2 * Y1, Y2^4 * Y3^-1 ]
Map:: non-degenerate
	R = (1, 21, 2, 22, 8, 28, 16, 36, 4, 24, 10, 30, 7, 27, 12, 32, 15, 35, 5, 25)(3, 23, 9, 29, 17, 37, 20, 40, 13, 33, 19, 39, 14, 34, 18, 38, 6, 26, 11, 31)(41, 61, 43, 63, 48, 68, 57, 77, 44, 64, 53, 73, 47, 67, 54, 74, 55, 75, 46, 66)(42, 62, 49, 69, 56, 76, 60, 80, 50, 70, 59, 79, 52, 72, 58, 78, 45, 65, 51, 71)
	L = (1, 44)(2, 50)(3, 53)(4, 55)(5, 56)(6, 57)(7, 41)(8, 47)(9, 59)(10, 45)(11, 60)(12, 42)(13, 46)(14, 43)(15, 48)(16, 52)(17, 54)(18, 49)(19, 51)(20, 58)(21, 61)(22, 62)(23, 63)(24, 64)(25, 65)(26, 66)(27, 67)(28, 68)(29, 69)(30, 70)(31, 71)(32, 72)(33, 73)(34, 74)(35, 75)(36, 76)(37, 77)(38, 78)(39, 79)(40, 80)
	local type(s) :: { ( 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 E13.162
Graph:: bipartite
	v = 4 e = 40 f = 12
	degree seq :: [ 20^4 ]

E13.165 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 10, 10, 10})
Quotient :: dipole
Aut^+ = C10 x C2 (small group id <20, 5>)
Aut   = C2 x C2 x D10 (small group id <40, 13>)
|r| :: 2
Presentation :: [ R^2, Y2^2 * Y3^-1, (Y3^-1, Y1^-1), (R * Y1)^2, (R * Y3)^2, Y1^2 * Y3^2, (Y1, Y2^-1), (R * Y2)^2, Y1^-4 * Y3, Y2 * Y1^-1 * Y3^2 * Y2 * Y1^-1, Y3^10 ]
Map:: non-degenerate
	R = (1, 21, 2, 22, 8, 28, 16, 36, 4, 24, 10, 30, 7, 27, 12, 32, 15, 35, 5, 25)(3, 23, 9, 29, 18, 38, 20, 40, 13, 33, 17, 37, 6, 26, 11, 31, 19, 39, 14, 34)(41, 61, 43, 63, 44, 64, 53, 73, 55, 75, 59, 79, 48, 68, 58, 78, 47, 67, 46, 66)(42, 62, 49, 69, 50, 70, 57, 77, 45, 65, 54, 74, 56, 76, 60, 80, 52, 72, 51, 71)
	L = (1, 44)(2, 50)(3, 53)(4, 55)(5, 56)(6, 43)(7, 41)(8, 47)(9, 57)(10, 45)(11, 49)(12, 42)(13, 59)(14, 60)(15, 48)(16, 52)(17, 54)(18, 46)(19, 58)(20, 51)(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) :: { ( 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 E13.161
Graph:: bipartite
	v = 4 e = 40 f = 12
	degree seq :: [ 20^4 ]

E13.166 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 10, 10, 10})
Quotient :: dipole
Aut^+ = C10 x C2 (small group id <20, 5>)
Aut   = C2 x C2 x D10 (small group id <40, 13>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y2^2, (Y3 * Y1)^2, (Y3^-1, Y1^-1), (R * Y3)^2, (Y2^-1, Y1), (R * Y1)^2, Y1^2 * Y3^2, (R * Y2)^2, Y1^2 * Y3^-3, Y3 * Y1^-1 * Y2^-1 * Y3 * Y2^-1 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 21, 2, 22, 8, 28, 16, 36, 4, 24, 10, 30, 7, 27, 12, 32, 15, 35, 5, 25)(3, 23, 9, 29, 19, 39, 18, 38, 6, 26, 11, 31, 14, 34, 20, 40, 17, 37, 13, 33)(41, 61, 43, 63, 47, 67, 54, 74, 48, 68, 59, 79, 55, 75, 57, 77, 44, 64, 46, 66)(42, 62, 49, 69, 52, 72, 60, 80, 56, 76, 58, 78, 45, 65, 53, 73, 50, 70, 51, 71)
	L = (1, 44)(2, 50)(3, 46)(4, 55)(5, 56)(6, 57)(7, 41)(8, 47)(9, 51)(10, 45)(11, 53)(12, 42)(13, 58)(14, 43)(15, 48)(16, 52)(17, 59)(18, 60)(19, 54)(20, 49)(21, 61)(22, 62)(23, 63)(24, 64)(25, 65)(26, 66)(27, 67)(28, 68)(29, 69)(30, 70)(31, 71)(32, 72)(33, 73)(34, 74)(35, 75)(36, 76)(37, 77)(38, 78)(39, 79)(40, 80)
	local type(s) :: { ( 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 E13.160
Graph:: bipartite
	v = 4 e = 40 f = 12
	degree seq :: [ 20^4 ]

E13.167 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 10, 10, 10})
Quotient :: dipole
Aut^+ = C10 x C2 (small group id <20, 5>)
Aut   = C2 x C2 x D10 (small group id <40, 13>)
|r| :: 2
Presentation :: [ R^2, (Y2, Y3), Y3^-1 * Y1 * Y2^-1 * Y3^-1, Y3^-2 * Y1^-2, (Y3, Y1^-1), Y2^-1 * Y3^-1 * Y1 * Y3^-1, (Y2, Y1^-1), Y2^-3 * Y1^-1, Y2 * Y3^2 * Y1^-1, (R * Y1)^2, (Y3 * Y1)^2, (Y2^-1 * R)^2, (R * Y3)^2, Y3^-1 * Y2^-2 * Y3 * Y2^-1 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 21, 2, 22, 8, 28, 3, 23, 9, 29, 17, 37, 13, 33, 6, 26, 11, 31, 5, 25)(4, 24, 10, 30, 7, 27, 12, 32, 18, 38, 14, 34, 19, 39, 16, 36, 20, 40, 15, 35)(41, 61, 43, 63, 53, 73, 45, 65, 48, 68, 57, 77, 51, 71, 42, 62, 49, 69, 46, 66)(44, 64, 52, 72, 59, 79, 55, 75, 47, 67, 54, 74, 60, 80, 50, 70, 58, 78, 56, 76)
	L = (1, 44)(2, 50)(3, 52)(4, 51)(5, 55)(6, 56)(7, 41)(8, 47)(9, 58)(10, 45)(11, 60)(12, 42)(13, 59)(14, 43)(15, 46)(16, 57)(17, 54)(18, 48)(19, 49)(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) :: { ( 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 E13.163
Graph:: bipartite
	v = 4 e = 40 f = 12
	degree seq :: [ 20^4 ]

E13.168 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 5, 20, 20})
Quotient :: dipole
Aut^+ = C20 (small group id <20, 2>)
Aut   = D40 (small group id <40, 6>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (Y3, Y2^-1), (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, Y3 * Y1 * Y3^-1 * Y1, Y2^-1 * Y1 * Y2 * Y1, Y2 * Y1 * Y3^2 * Y2, Y2^-1 * Y3^4, Y2^5 ]
Map:: non-degenerate
	R = (1, 21, 2, 22)(3, 23, 7, 27)(4, 24, 8, 28)(5, 25, 9, 29)(6, 26, 10, 30)(11, 31, 18, 38)(12, 32, 17, 37)(13, 33, 19, 39)(14, 34, 16, 36)(15, 35, 20, 40)(41, 61, 43, 63, 51, 71, 56, 76, 45, 65)(42, 62, 47, 67, 58, 78, 54, 74, 49, 69)(44, 64, 52, 72, 50, 70, 59, 79, 55, 75)(46, 66, 53, 73, 60, 80, 48, 68, 57, 77)
	L = (1, 44)(2, 48)(3, 52)(4, 54)(5, 55)(6, 41)(7, 57)(8, 56)(9, 60)(10, 42)(11, 50)(12, 49)(13, 43)(14, 53)(15, 58)(16, 59)(17, 45)(18, 46)(19, 47)(20, 51)(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) :: { ( 40^4 ), ( 40^10 ) }
Outer automorphisms :: reflexible
Dual of E13.175
Graph:: simple bipartite
	v = 14 e = 40 f = 2
	degree seq :: [ 4^10, 10^4 ]

E13.169 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 5, 20, 20})
Quotient :: dipole
Aut^+ = C20 (small group id <20, 2>)
Aut   = D40 (small group id <40, 6>)
|r| :: 2
Presentation :: [ R^2, Y2^2 * Y3^-1, Y3^-2 * Y1^-2, (Y3^-1, Y1^-1), (R * Y1)^2, (R * Y3)^2, (Y1, Y2^-1), (R * Y2)^2, Y3^-4 * Y1, Y2 * Y1^-2 * Y3 * Y2 * Y1^-1, Y1^10 ]
Map:: non-degenerate
	R = (1, 21, 2, 22, 8, 28, 15, 35, 5, 25)(3, 23, 9, 29, 18, 38, 20, 40, 14, 34)(4, 24, 10, 30, 7, 27, 12, 32, 16, 36)(6, 26, 11, 31, 19, 39, 13, 33, 17, 37)(41, 61, 43, 63, 44, 64, 53, 73, 55, 75, 60, 80, 52, 72, 51, 71, 42, 62, 49, 69, 50, 70, 57, 77, 45, 65, 54, 74, 56, 76, 59, 79, 48, 68, 58, 78, 47, 67, 46, 66)
	L = (1, 44)(2, 50)(3, 53)(4, 55)(5, 56)(6, 43)(7, 41)(8, 47)(9, 57)(10, 45)(11, 49)(12, 42)(13, 60)(14, 59)(15, 52)(16, 48)(17, 54)(18, 46)(19, 58)(20, 51)(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) :: { ( 4, 40, 4, 40, 4, 40, 4, 40, 4, 40 ), ( 4, 40, 4, 40, 4, 40, 4, 40, 4, 40, 4, 40, 4, 40, 4, 40, 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 E13.173
Graph:: bipartite
	v = 5 e = 40 f = 11
	degree seq :: [ 10^4, 40 ]

E13.170 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 5, 20, 20})
Quotient :: dipole
Aut^+ = C20 (small group id <20, 2>)
Aut   = D40 (small group id <40, 6>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y2^2, Y1^-1 * Y3^-2 * Y1^-1, (R * Y3)^2, (Y3^-1, Y1), (R * Y1)^2, (Y2^-1, Y1), (R * Y2)^2, Y3^-2 * Y1^3, Y3 * Y2^-1 * Y1^-2 * Y2^-1 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 21, 2, 22, 8, 28, 15, 35, 5, 25)(3, 23, 9, 29, 19, 39, 17, 37, 13, 33)(4, 24, 10, 30, 7, 27, 12, 32, 16, 36)(6, 26, 11, 31, 14, 34, 20, 40, 18, 38)(41, 61, 43, 63, 47, 67, 54, 74, 48, 68, 59, 79, 56, 76, 58, 78, 45, 65, 53, 73, 50, 70, 51, 71, 42, 62, 49, 69, 52, 72, 60, 80, 55, 75, 57, 77, 44, 64, 46, 66)
	L = (1, 44)(2, 50)(3, 46)(4, 55)(5, 56)(6, 57)(7, 41)(8, 47)(9, 51)(10, 45)(11, 53)(12, 42)(13, 58)(14, 43)(15, 52)(16, 48)(17, 60)(18, 59)(19, 54)(20, 49)(21, 61)(22, 62)(23, 63)(24, 64)(25, 65)(26, 66)(27, 67)(28, 68)(29, 69)(30, 70)(31, 71)(32, 72)(33, 73)(34, 74)(35, 75)(36, 76)(37, 77)(38, 78)(39, 79)(40, 80)
	local type(s) :: { ( 4, 40, 4, 40, 4, 40, 4, 40, 4, 40 ), ( 4, 40, 4, 40, 4, 40, 4, 40, 4, 40, 4, 40, 4, 40, 4, 40, 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 E13.174
Graph:: bipartite
	v = 5 e = 40 f = 11
	degree seq :: [ 10^4, 40 ]

E13.171 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 5, 20, 20})
Quotient :: dipole
Aut^+ = C20 (small group id <20, 2>)
Aut   = D40 (small group id <40, 6>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y2 * Y1^-1 * Y2, Y1 * Y3^-1 * Y2^-2, (R * Y3)^2, Y3 * Y2^2 * Y1^-1, (Y3 * Y1)^2, (Y3, Y2^-1), (Y2^-1 * R)^2, (R * Y1)^2, Y3^-2 * Y1^-2, Y3^-2 * Y1^3, Y1 * Y3^-1 * Y2^18 ]
Map:: non-degenerate
	R = (1, 21, 2, 22, 8, 28, 15, 35, 5, 25)(3, 23, 9, 29, 17, 37, 20, 40, 13, 33)(4, 24, 10, 30, 7, 27, 12, 32, 16, 36)(6, 26, 11, 31, 19, 39, 14, 34, 18, 38)(41, 61, 43, 63, 52, 72, 58, 78, 45, 65, 53, 73, 47, 67, 54, 74, 55, 75, 60, 80, 50, 70, 59, 79, 48, 68, 57, 77, 44, 64, 51, 71, 42, 62, 49, 69, 56, 76, 46, 66)
	L = (1, 44)(2, 50)(3, 51)(4, 55)(5, 56)(6, 57)(7, 41)(8, 47)(9, 59)(10, 45)(11, 60)(12, 42)(13, 46)(14, 43)(15, 52)(16, 48)(17, 54)(18, 49)(19, 53)(20, 58)(21, 61)(22, 62)(23, 63)(24, 64)(25, 65)(26, 66)(27, 67)(28, 68)(29, 69)(30, 70)(31, 71)(32, 72)(33, 73)(34, 74)(35, 75)(36, 76)(37, 77)(38, 78)(39, 79)(40, 80)
	local type(s) :: { ( 4, 40, 4, 40, 4, 40, 4, 40, 4, 40 ), ( 4, 40, 4, 40, 4, 40, 4, 40, 4, 40, 4, 40, 4, 40, 4, 40, 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 E13.172
Graph:: bipartite
	v = 5 e = 40 f = 11
	degree seq :: [ 10^4, 40 ]

E13.172 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 5, 20, 20})
Quotient :: dipole
Aut^+ = C20 (small group id <20, 2>)
Aut   = D40 (small group id <40, 6>)
|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 * Y2 * Y3^-1 * Y2, Y3^5 * Y2, (Y3^-1 * Y1^-1)^20 ]
Map:: non-degenerate
	R = (1, 21, 2, 22, 4, 24, 8, 28, 12, 32, 16, 36, 19, 39, 18, 38, 11, 31, 10, 30, 3, 23, 7, 27, 9, 29, 15, 35, 17, 37, 20, 40, 14, 34, 13, 33, 6, 26, 5, 25)(41, 61, 43, 63)(42, 62, 47, 67)(44, 64, 49, 69)(45, 65, 50, 70)(46, 66, 51, 71)(48, 68, 55, 75)(52, 72, 57, 77)(53, 73, 58, 78)(54, 74, 59, 79)(56, 76, 60, 80)
	L = (1, 44)(2, 48)(3, 49)(4, 52)(5, 42)(6, 41)(7, 55)(8, 56)(9, 57)(10, 47)(11, 43)(12, 59)(13, 45)(14, 46)(15, 60)(16, 58)(17, 54)(18, 50)(19, 51)(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) :: { ( 10, 40, 10, 40 ), ( 10, 40, 10, 40, 10, 40, 10, 40, 10, 40, 10, 40, 10, 40, 10, 40, 10, 40, 10, 40, 10, 40, 10, 40, 10, 40, 10, 40, 10, 40, 10, 40, 10, 40, 10, 40, 10, 40, 10, 40 ) }
Outer automorphisms :: reflexible
Dual of E13.171
Graph:: bipartite
	v = 11 e = 40 f = 5
	degree seq :: [ 4^10, 40 ]

E13.173 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 5, 20, 20})
Quotient :: dipole
Aut^+ = C20 (small group id <20, 2>)
Aut   = D40 (small group id <40, 6>)
|r| :: 2
Presentation :: [ Y2^2, R^2, Y1^2 * Y3, Y1 * Y2 * Y1^-1 * Y2, (R * Y1)^2, (R * Y2)^2, (R * Y3)^2, Y3 * Y2 * Y3^-1 * Y2, Y3^5 * Y2 ]
Map:: non-degenerate
	R = (1, 21, 2, 22, 6, 26, 8, 28, 14, 34, 16, 36, 17, 37, 18, 38, 9, 29, 10, 30, 3, 23, 7, 27, 11, 31, 15, 35, 19, 39, 20, 40, 12, 32, 13, 33, 4, 24, 5, 25)(41, 61, 43, 63)(42, 62, 47, 67)(44, 64, 49, 69)(45, 65, 50, 70)(46, 66, 51, 71)(48, 68, 55, 75)(52, 72, 57, 77)(53, 73, 58, 78)(54, 74, 59, 79)(56, 76, 60, 80)
	L = (1, 44)(2, 45)(3, 49)(4, 52)(5, 53)(6, 41)(7, 50)(8, 42)(9, 57)(10, 58)(11, 43)(12, 59)(13, 60)(14, 46)(15, 47)(16, 48)(17, 54)(18, 56)(19, 51)(20, 55)(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) :: { ( 10, 40, 10, 40 ), ( 10, 40, 10, 40, 10, 40, 10, 40, 10, 40, 10, 40, 10, 40, 10, 40, 10, 40, 10, 40, 10, 40, 10, 40, 10, 40, 10, 40, 10, 40, 10, 40, 10, 40, 10, 40, 10, 40, 10, 40 ) }
Outer automorphisms :: reflexible
Dual of E13.169
Graph:: bipartite
	v = 11 e = 40 f = 5
	degree seq :: [ 4^10, 40 ]

E13.174 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 5, 20, 20})
Quotient :: dipole
Aut^+ = C20 (small group id <20, 2>)
Aut   = D40 (small group id <40, 6>)
|r| :: 2
Presentation :: [ Y2^2, R^2, (R * Y1)^2, (R * Y3)^2, (R * Y2)^2, Y2 * Y1 * Y2 * Y1^-1, Y3 * Y2 * Y3^-1 * Y2, (Y3^-1, Y1^-1), Y3^3 * Y1^2, Y2 * Y1^2 * Y3^-2, Y3^-1 * Y1 * Y3^-1 * Y1 * Y2, Y1^20 ]
Map:: non-degenerate
	R = (1, 21, 2, 22, 7, 27, 19, 39, 13, 33, 15, 35, 4, 24, 9, 29, 18, 38, 12, 32, 3, 23, 8, 28, 14, 34, 17, 37, 6, 26, 10, 30, 11, 31, 20, 40, 16, 36, 5, 25)(41, 61, 43, 63)(42, 62, 48, 68)(44, 64, 51, 71)(45, 65, 52, 72)(46, 66, 53, 73)(47, 67, 54, 74)(49, 69, 60, 80)(50, 70, 55, 75)(56, 76, 58, 78)(57, 77, 59, 79)
	L = (1, 44)(2, 49)(3, 51)(4, 54)(5, 55)(6, 41)(7, 58)(8, 60)(9, 57)(10, 42)(11, 47)(12, 50)(13, 43)(14, 56)(15, 48)(16, 53)(17, 45)(18, 46)(19, 52)(20, 59)(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) :: { ( 10, 40, 10, 40 ), ( 10, 40, 10, 40, 10, 40, 10, 40, 10, 40, 10, 40, 10, 40, 10, 40, 10, 40, 10, 40, 10, 40, 10, 40, 10, 40, 10, 40, 10, 40, 10, 40, 10, 40, 10, 40, 10, 40, 10, 40 ) }
Outer automorphisms :: reflexible
Dual of E13.170
Graph:: bipartite
	v = 11 e = 40 f = 5
	degree seq :: [ 4^10, 40 ]

E13.175 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 5, 20, 20})
Quotient :: dipole
Aut^+ = C20 (small group id <20, 2>)
Aut   = D40 (small group id <40, 6>)
|r| :: 2
Presentation :: [ R^2, (Y3, Y2^-1), Y2^-1 * Y3^-2 * Y1^-1, Y2^-1 * Y1^-1 * Y2^-2, (R * Y2)^2, Y1^-1 * Y3^-2 * Y2^-1, (Y3^-1, Y1^-1), (R * Y1)^2, Y1^-1 * Y3^-1 * Y2^-1 * Y3^-1, (Y2^-1, Y1^-1), (R * Y3)^2, (Y3 * Y2^-1)^2, Y1^-1 * Y3 * Y1^-2, Y2 * Y1^-2 * Y3^-1 * Y2 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 21, 2, 22, 8, 28, 4, 24, 10, 30, 18, 38, 13, 33, 6, 26, 11, 31, 19, 39, 16, 36, 20, 40, 15, 35, 3, 23, 9, 29, 17, 37, 14, 34, 7, 27, 12, 32, 5, 25)(41, 61, 43, 63, 53, 73, 45, 65, 55, 75, 58, 78, 52, 72, 60, 80, 50, 70, 47, 67, 56, 76, 44, 64, 54, 74, 59, 79, 48, 68, 57, 77, 51, 71, 42, 62, 49, 69, 46, 66)
	L = (1, 44)(2, 50)(3, 54)(4, 53)(5, 48)(6, 56)(7, 41)(8, 58)(9, 47)(10, 46)(11, 60)(12, 42)(13, 59)(14, 45)(15, 57)(16, 43)(17, 52)(18, 51)(19, 55)(20, 49)(21, 61)(22, 62)(23, 63)(24, 64)(25, 65)(26, 66)(27, 67)(28, 68)(29, 69)(30, 70)(31, 71)(32, 72)(33, 73)(34, 74)(35, 75)(36, 76)(37, 77)(38, 78)(39, 79)(40, 80)
	local type(s) :: { ( 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 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 E13.168
Graph:: bipartite
	v = 2 e = 40 f = 14
	degree seq :: [ 40^2 ]

E13.176 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 3, 7, 21})
Quotient :: dipole
Aut^+ = C21 (small group id <21, 2>)
Aut   = D42 (small group id <42, 5>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y3, Y1^3, (Y2^-1 * R)^2, (R * Y1)^2, (R * Y3)^2, Y2^-1 * Y3 * Y2 * Y1^-1, Y2 * Y3 * Y2^-1 * Y1^-1, (Y3^-1 * Y1^-1)^3, Y2^7, (Y2^-1 * Y1)^21 ]
Map:: non-degenerate
	R = (1, 22, 2, 23, 4, 25)(3, 24, 6, 27, 9, 30)(5, 26, 7, 28, 10, 31)(8, 29, 12, 33, 15, 36)(11, 32, 13, 34, 16, 37)(14, 35, 18, 39, 20, 41)(17, 38, 19, 40, 21, 42)(43, 64, 45, 66, 50, 71, 56, 77, 59, 80, 53, 74, 47, 68)(44, 65, 48, 69, 54, 75, 60, 81, 61, 82, 55, 76, 49, 70)(46, 67, 51, 72, 57, 78, 62, 83, 63, 84, 58, 79, 52, 73)
	L = (1, 44)(2, 46)(3, 48)(4, 43)(5, 49)(6, 51)(7, 52)(8, 54)(9, 45)(10, 47)(11, 55)(12, 57)(13, 58)(14, 60)(15, 50)(16, 53)(17, 61)(18, 62)(19, 63)(20, 56)(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) :: { ( 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 E13.177
Graph:: bipartite
	v = 10 e = 42 f = 8
	degree seq :: [ 6^7, 14^3 ]

E13.177 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 3, 7, 21})
Quotient :: dipole
Aut^+ = C21 (small group id <21, 2>)
Aut   = D42 (small group id <42, 5>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3, Y2^3, (R * Y3)^2, (Y3^-1, Y1^-1), (R * Y1)^2, (Y2^-1, Y1^-1), (Y3 * Y2^-1)^3, Y2 * Y1^-7, (Y1^-1 * Y3^-1)^7 ]
Map:: non-degenerate
	R = (1, 22, 2, 23, 6, 27, 12, 33, 18, 39, 15, 36, 9, 30, 3, 24, 7, 28, 13, 34, 19, 40, 21, 42, 16, 37, 10, 31, 4, 25, 8, 29, 14, 35, 20, 41, 17, 38, 11, 32, 5, 26)(43, 64, 45, 66, 46, 67)(44, 65, 49, 70, 50, 71)(47, 68, 51, 72, 52, 73)(48, 69, 55, 76, 56, 77)(53, 74, 57, 78, 58, 79)(54, 75, 61, 82, 62, 83)(59, 80, 60, 81, 63, 84)
	L = (1, 46)(2, 50)(3, 43)(4, 45)(5, 52)(6, 56)(7, 44)(8, 49)(9, 47)(10, 51)(11, 58)(12, 62)(13, 48)(14, 55)(15, 53)(16, 57)(17, 63)(18, 59)(19, 54)(20, 61)(21, 60)(22, 64)(23, 65)(24, 66)(25, 67)(26, 68)(27, 69)(28, 70)(29, 71)(30, 72)(31, 73)(32, 74)(33, 75)(34, 76)(35, 77)(36, 78)(37, 79)(38, 80)(39, 81)(40, 82)(41, 83)(42, 84)
	local type(s) :: { ( 6, 14, 6, 14, 6, 14 ), ( 6, 14, 6, 14, 6, 14, 6, 14, 6, 14, 6, 14, 6, 14, 6, 14, 6, 14, 6, 14, 6, 14, 6, 14, 6, 14, 6, 14, 6, 14, 6, 14, 6, 14, 6, 14, 6, 14, 6, 14, 6, 14 ) }
Outer automorphisms :: reflexible
Dual of E13.176
Graph:: bipartite
	v = 8 e = 42 f = 10
	degree seq :: [ 6^7, 42 ]

E13.178 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {4, 4, 4, 4})
Quotient :: edge^2
Aut^+ = C3 : Q8 (small group id <24, 4>)
Aut   = (C12 x C2) : C2 (small group id <48, 37>)
|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, Y3^-1 * Y1^-1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 25, 3, 27, 6, 30, 5, 29)(2, 26, 7, 31, 4, 28, 8, 32)(9, 33, 13, 37, 10, 34, 14, 38)(11, 35, 15, 39, 12, 36, 16, 40)(17, 41, 21, 45, 18, 42, 22, 46)(19, 43, 23, 47, 20, 44, 24, 48)(49, 50, 54, 52)(51, 57, 53, 58)(55, 59, 56, 60)(61, 65, 62, 66)(63, 67, 64, 68)(69, 72, 70, 71)(73, 74, 78, 76)(75, 81, 77, 82)(79, 83, 80, 84)(85, 89, 86, 90)(87, 91, 88, 92)(93, 96, 94, 95)
	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) :: { ( 16^4 ), ( 16^8 ) }
Outer automorphisms :: reflexible
Dual of E13.181
Graph:: bipartite
	v = 18 e = 48 f = 6
	degree seq :: [ 4^12, 8^6 ]

E13.179 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {4, 4, 4, 4})
Quotient :: edge^2
Aut^+ = C2 x (C3 : C4) (small group id <24, 7>)
Aut   = (C2 x (C3 : C4)) : C2 (small group id <48, 39>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y1, Y1^-2 * Y3^-2, Y2^4, Y1^-1 * Y3^2 * Y1^-1, R * Y2 * R * Y1, (R * Y3)^2, Y3^-1 * Y1^-1 * Y3 * Y1 * Y3 * Y1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 25, 4, 28, 6, 30, 5, 29)(2, 26, 7, 31, 3, 27, 8, 32)(9, 33, 13, 37, 10, 34, 14, 38)(11, 35, 15, 39, 12, 36, 16, 40)(17, 41, 21, 45, 18, 42, 22, 46)(19, 43, 23, 47, 20, 44, 24, 48)(49, 50, 54, 51)(52, 57, 53, 58)(55, 59, 56, 60)(61, 65, 62, 66)(63, 67, 64, 68)(69, 71, 70, 72)(73, 75, 78, 74)(76, 82, 77, 81)(79, 84, 80, 83)(85, 90, 86, 89)(87, 92, 88, 91)(93, 96, 94, 95)
	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) :: { ( 16^4 ), ( 16^8 ) }
Outer automorphisms :: reflexible
Dual of E13.182
Graph:: bipartite
	v = 18 e = 48 f = 6
	degree seq :: [ 4^12, 8^6 ]

E13.180 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {4, 4, 4, 4})
Quotient :: edge^2
Aut^+ = C3 : Q8 (small group id <24, 4>)
Aut   = (C2 x (C3 : C4)) : C2 (small group id <48, 39>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y2, Y2 * Y1, Y2 * Y1^-3, Y3^-1 * Y1^-2 * Y3^-1, Y3^-2 * Y1^2, Y2^4, R * Y2 * R * Y1, (R * Y3)^2, Y3^-1 * Y1^-1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 25, 4, 28, 6, 30, 5, 29)(2, 26, 7, 31, 3, 27, 8, 32)(9, 33, 13, 37, 10, 34, 14, 38)(11, 35, 15, 39, 12, 36, 16, 40)(17, 41, 21, 45, 18, 42, 22, 46)(19, 43, 23, 47, 20, 44, 24, 48)(49, 50, 54, 51)(52, 57, 53, 58)(55, 59, 56, 60)(61, 65, 62, 66)(63, 67, 64, 68)(69, 72, 70, 71)(73, 75, 78, 74)(76, 82, 77, 81)(79, 84, 80, 83)(85, 90, 86, 89)(87, 92, 88, 91)(93, 95, 94, 96)
	L = (1, 49)(2, 50)(3, 51)(4, 52)(5, 53)(6, 54)(7, 55)(8, 56)(9, 57)(10, 58)(11, 59)(12, 60)(13, 61)(14, 62)(15, 63)(16, 64)(17, 65)(18, 66)(19, 67)(20, 68)(21, 69)(22, 70)(23, 71)(24, 72)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 16^4 ), ( 16^8 ) }
Outer automorphisms :: reflexible
Dual of E13.183
Graph:: bipartite
	v = 18 e = 48 f = 6
	degree seq :: [ 4^12, 8^6 ]

E13.181 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {4, 4, 4, 4})
Quotient :: loop^2
Aut^+ = C3 : Q8 (small group id <24, 4>)
Aut   = (C12 x C2) : C2 (small group id <48, 37>)
|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, Y3^-1 * Y1^-1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 25, 49, 73, 3, 27, 51, 75, 6, 30, 54, 78, 5, 29, 53, 77)(2, 26, 50, 74, 7, 31, 55, 79, 4, 28, 52, 76, 8, 32, 56, 80)(9, 33, 57, 81, 13, 37, 61, 85, 10, 34, 58, 82, 14, 38, 62, 86)(11, 35, 59, 83, 15, 39, 63, 87, 12, 36, 60, 84, 16, 40, 64, 88)(17, 41, 65, 89, 21, 45, 69, 93, 18, 42, 66, 90, 22, 46, 70, 94)(19, 43, 67, 91, 23, 47, 71, 95, 20, 44, 68, 92, 24, 48, 72, 96)
	L = (1, 26)(2, 30)(3, 33)(4, 25)(5, 34)(6, 28)(7, 35)(8, 36)(9, 29)(10, 27)(11, 32)(12, 31)(13, 41)(14, 42)(15, 43)(16, 44)(17, 38)(18, 37)(19, 40)(20, 39)(21, 48)(22, 47)(23, 45)(24, 46)(49, 74)(50, 78)(51, 81)(52, 73)(53, 82)(54, 76)(55, 83)(56, 84)(57, 77)(58, 75)(59, 80)(60, 79)(61, 89)(62, 90)(63, 91)(64, 92)(65, 86)(66, 85)(67, 88)(68, 87)(69, 96)(70, 95)(71, 93)(72, 94)
	local type(s) :: { ( 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E13.178
Transitivity :: VT+
Graph:: bipartite
	v = 6 e = 48 f = 18
	degree seq :: [ 16^6 ]

E13.182 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {4, 4, 4, 4})
Quotient :: loop^2
Aut^+ = C2 x (C3 : C4) (small group id <24, 7>)
Aut   = (C2 x (C3 : C4)) : C2 (small group id <48, 39>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y1, Y1^-2 * Y3^-2, Y2^4, Y1^-1 * Y3^2 * Y1^-1, R * Y2 * R * Y1, (R * Y3)^2, Y3^-1 * Y1^-1 * Y3 * Y1 * Y3 * Y1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 25, 49, 73, 4, 28, 52, 76, 6, 30, 54, 78, 5, 29, 53, 77)(2, 26, 50, 74, 7, 31, 55, 79, 3, 27, 51, 75, 8, 32, 56, 80)(9, 33, 57, 81, 13, 37, 61, 85, 10, 34, 58, 82, 14, 38, 62, 86)(11, 35, 59, 83, 15, 39, 63, 87, 12, 36, 60, 84, 16, 40, 64, 88)(17, 41, 65, 89, 21, 45, 69, 93, 18, 42, 66, 90, 22, 46, 70, 94)(19, 43, 67, 91, 23, 47, 71, 95, 20, 44, 68, 92, 24, 48, 72, 96)
	L = (1, 26)(2, 30)(3, 25)(4, 33)(5, 34)(6, 27)(7, 35)(8, 36)(9, 29)(10, 28)(11, 32)(12, 31)(13, 41)(14, 42)(15, 43)(16, 44)(17, 38)(18, 37)(19, 40)(20, 39)(21, 47)(22, 48)(23, 46)(24, 45)(49, 75)(50, 73)(51, 78)(52, 82)(53, 81)(54, 74)(55, 84)(56, 83)(57, 76)(58, 77)(59, 79)(60, 80)(61, 90)(62, 89)(63, 92)(64, 91)(65, 85)(66, 86)(67, 87)(68, 88)(69, 96)(70, 95)(71, 93)(72, 94)
	local type(s) :: { ( 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E13.179
Transitivity :: VT+
Graph:: bipartite
	v = 6 e = 48 f = 18
	degree seq :: [ 16^6 ]

E13.183 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {4, 4, 4, 4})
Quotient :: loop^2
Aut^+ = C3 : Q8 (small group id <24, 4>)
Aut   = (C2 x (C3 : C4)) : C2 (small group id <48, 39>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y2, Y2 * Y1, Y2 * Y1^-3, Y3^-1 * Y1^-2 * Y3^-1, Y3^-2 * Y1^2, Y2^4, R * Y2 * R * Y1, (R * Y3)^2, Y3^-1 * Y1^-1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 25, 49, 73, 4, 28, 52, 76, 6, 30, 54, 78, 5, 29, 53, 77)(2, 26, 50, 74, 7, 31, 55, 79, 3, 27, 51, 75, 8, 32, 56, 80)(9, 33, 57, 81, 13, 37, 61, 85, 10, 34, 58, 82, 14, 38, 62, 86)(11, 35, 59, 83, 15, 39, 63, 87, 12, 36, 60, 84, 16, 40, 64, 88)(17, 41, 65, 89, 21, 45, 69, 93, 18, 42, 66, 90, 22, 46, 70, 94)(19, 43, 67, 91, 23, 47, 71, 95, 20, 44, 68, 92, 24, 48, 72, 96)
	L = (1, 26)(2, 30)(3, 25)(4, 33)(5, 34)(6, 27)(7, 35)(8, 36)(9, 29)(10, 28)(11, 32)(12, 31)(13, 41)(14, 42)(15, 43)(16, 44)(17, 38)(18, 37)(19, 40)(20, 39)(21, 48)(22, 47)(23, 45)(24, 46)(49, 75)(50, 73)(51, 78)(52, 82)(53, 81)(54, 74)(55, 84)(56, 83)(57, 76)(58, 77)(59, 79)(60, 80)(61, 90)(62, 89)(63, 92)(64, 91)(65, 85)(66, 86)(67, 87)(68, 88)(69, 95)(70, 96)(71, 94)(72, 93)
	local type(s) :: { ( 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E13.180
Transitivity :: VT+
Graph:: bipartite
	v = 6 e = 48 f = 18
	degree seq :: [ 16^6 ]

E13.184 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {4, 4, 4, 4})
Quotient :: edge^2
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 :: [ R^2, Y2^-1 * Y1, Y1^4, Y3^2 * Y1^2, Y1^-1 * Y3^2 * Y1^-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)^6 ]
Map:: non-degenerate
	R = (1, 25, 3, 27, 6, 30, 5, 29)(2, 26, 7, 31, 4, 28, 8, 32)(9, 33, 13, 37, 10, 34, 14, 38)(11, 35, 15, 39, 12, 36, 16, 40)(17, 41, 21, 45, 18, 42, 22, 46)(19, 43, 23, 47, 20, 44, 24, 48)(49, 50, 54, 52)(51, 57, 53, 58)(55, 59, 56, 60)(61, 65, 62, 66)(63, 67, 64, 68)(69, 71, 70, 72)(73, 74, 78, 76)(75, 81, 77, 82)(79, 83, 80, 84)(85, 89, 86, 90)(87, 91, 88, 92)(93, 95, 94, 96)
	L = (1, 49)(2, 50)(3, 51)(4, 52)(5, 53)(6, 54)(7, 55)(8, 56)(9, 57)(10, 58)(11, 59)(12, 60)(13, 61)(14, 62)(15, 63)(16, 64)(17, 65)(18, 66)(19, 67)(20, 68)(21, 69)(22, 70)(23, 71)(24, 72)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 16^4 ), ( 16^8 ) }
Outer automorphisms :: reflexible
Dual of E13.185
Graph:: bipartite
	v = 18 e = 48 f = 6
	degree seq :: [ 4^12, 8^6 ]

E13.185 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {4, 4, 4, 4})
Quotient :: loop^2
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 :: [ R^2, Y2^-1 * Y1, Y1^4, Y3^2 * Y1^2, Y1^-1 * Y3^2 * Y1^-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)^6 ]
Map:: non-degenerate
	R = (1, 25, 49, 73, 3, 27, 51, 75, 6, 30, 54, 78, 5, 29, 53, 77)(2, 26, 50, 74, 7, 31, 55, 79, 4, 28, 52, 76, 8, 32, 56, 80)(9, 33, 57, 81, 13, 37, 61, 85, 10, 34, 58, 82, 14, 38, 62, 86)(11, 35, 59, 83, 15, 39, 63, 87, 12, 36, 60, 84, 16, 40, 64, 88)(17, 41, 65, 89, 21, 45, 69, 93, 18, 42, 66, 90, 22, 46, 70, 94)(19, 43, 67, 91, 23, 47, 71, 95, 20, 44, 68, 92, 24, 48, 72, 96)
	L = (1, 26)(2, 30)(3, 33)(4, 25)(5, 34)(6, 28)(7, 35)(8, 36)(9, 29)(10, 27)(11, 32)(12, 31)(13, 41)(14, 42)(15, 43)(16, 44)(17, 38)(18, 37)(19, 40)(20, 39)(21, 47)(22, 48)(23, 46)(24, 45)(49, 74)(50, 78)(51, 81)(52, 73)(53, 82)(54, 76)(55, 83)(56, 84)(57, 77)(58, 75)(59, 80)(60, 79)(61, 89)(62, 90)(63, 91)(64, 92)(65, 86)(66, 85)(67, 88)(68, 87)(69, 95)(70, 96)(71, 94)(72, 93)
	local type(s) :: { ( 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E13.184
Transitivity :: VT+
Graph:: bipartite
	v = 6 e = 48 f = 18
	degree seq :: [ 16^6 ]

E13.186 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {4, 4, 4, 4})
Quotient :: edge^2
Aut^+ = S4 (small group id <24, 12>)
Aut   = C2 x S4 (small group id <48, 48>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y2^-1, Y3^4, Y1^4, (Y2 * Y1^-1)^2, (R * Y3)^2, Y2^4, R * Y1 * R * Y2, Y3 * Y1^2 * Y3 * Y2 * Y1^-1, Y3 * Y1^-1 * Y3^-1 * Y2^-1 * Y3^-1 * Y1^-1, Y2 * Y3 * Y2^-2 * Y3 * Y1^-1, Y3^-2 * Y2 * Y3^-2 * Y1^-1, Y2 * Y3^-1 * Y2 * Y1^-1 * Y3^-1 * Y1^-1, Y2 * Y3 * Y2 * Y3^-1 * Y2^-1 * Y3^-1, Y3 * Y2 * Y3 * Y1^-1 * Y3 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 25, 4, 28, 13, 37, 5, 29)(2, 26, 7, 31, 20, 44, 8, 32)(3, 27, 9, 33, 23, 47, 10, 34)(6, 30, 16, 40, 24, 48, 17, 41)(11, 35, 18, 42, 15, 39, 22, 46)(12, 36, 21, 45, 14, 38, 19, 43)(49, 50, 54, 51)(52, 59, 65, 60)(53, 62, 64, 63)(55, 66, 58, 67)(56, 69, 57, 70)(61, 71, 72, 68)(73, 75, 78, 74)(76, 84, 89, 83)(77, 87, 88, 86)(79, 91, 82, 90)(80, 94, 81, 93)(85, 92, 96, 95)
	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) :: { ( 16^4 ), ( 16^8 ) }
Outer automorphisms :: reflexible
Dual of E13.187
Graph:: simple bipartite
	v = 18 e = 48 f = 6
	degree seq :: [ 4^12, 8^6 ]

E13.187 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {4, 4, 4, 4})
Quotient :: loop^2
Aut^+ = S4 (small group id <24, 12>)
Aut   = C2 x S4 (small group id <48, 48>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y2^-1, Y3^4, Y1^4, (Y2 * Y1^-1)^2, (R * Y3)^2, Y2^4, R * Y1 * R * Y2, Y3 * Y1^2 * Y3 * Y2 * Y1^-1, Y3 * Y1^-1 * Y3^-1 * Y2^-1 * Y3^-1 * Y1^-1, Y2 * Y3 * Y2^-2 * Y3 * Y1^-1, Y3^-2 * Y2 * Y3^-2 * Y1^-1, Y2 * Y3^-1 * Y2 * Y1^-1 * Y3^-1 * Y1^-1, Y2 * Y3 * Y2 * Y3^-1 * Y2^-1 * Y3^-1, Y3 * Y2 * Y3 * Y1^-1 * Y3 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 25, 49, 73, 4, 28, 52, 76, 13, 37, 61, 85, 5, 29, 53, 77)(2, 26, 50, 74, 7, 31, 55, 79, 20, 44, 68, 92, 8, 32, 56, 80)(3, 27, 51, 75, 9, 33, 57, 81, 23, 47, 71, 95, 10, 34, 58, 82)(6, 30, 54, 78, 16, 40, 64, 88, 24, 48, 72, 96, 17, 41, 65, 89)(11, 35, 59, 83, 18, 42, 66, 90, 15, 39, 63, 87, 22, 46, 70, 94)(12, 36, 60, 84, 21, 45, 69, 93, 14, 38, 62, 86, 19, 43, 67, 91)
	L = (1, 26)(2, 30)(3, 25)(4, 35)(5, 38)(6, 27)(7, 42)(8, 45)(9, 46)(10, 43)(11, 41)(12, 28)(13, 47)(14, 40)(15, 29)(16, 39)(17, 36)(18, 34)(19, 31)(20, 37)(21, 33)(22, 32)(23, 48)(24, 44)(49, 75)(50, 73)(51, 78)(52, 84)(53, 87)(54, 74)(55, 91)(56, 94)(57, 93)(58, 90)(59, 76)(60, 89)(61, 92)(62, 77)(63, 88)(64, 86)(65, 83)(66, 79)(67, 82)(68, 96)(69, 80)(70, 81)(71, 85)(72, 95)
	local type(s) :: { ( 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E13.186
Transitivity :: VT+
Graph::
	v = 6 e = 48 f = 18
	degree seq :: [ 16^6 ]

E13.188 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {3, 4, 4, 6})
Quotient :: edge^2
Aut^+ = SL(2,3) (small group id <24, 3>)
Aut   = GL(2,3) (small group id <48, 29>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y2^2 * Y1^-1, Y2^-2 * Y1^-2, R * Y1 * R * Y2, Y2 * Y1^-1 * Y2^-1 * Y1^-1, (R * Y3)^2, Y1^4, Y2^4, Y3 * Y1 * Y3^-1 * Y2^-1, Y2 * Y1^-1 * Y3 * Y2 * Y3^-1, Y3^-1 * Y2^2 * Y3^-2 ]
Map:: non-degenerate
	R = (1, 25, 4, 28, 16, 40, 8, 32, 24, 48, 7, 31)(2, 26, 10, 34, 20, 44, 5, 29, 19, 43, 12, 36)(3, 27, 13, 37, 21, 45, 6, 30, 17, 41, 14, 38)(9, 33, 18, 42, 22, 46, 11, 35, 15, 39, 23, 47)(49, 50, 56, 53)(51, 59, 54, 57)(52, 61, 72, 65)(55, 70, 64, 71)(58, 66, 67, 63)(60, 62, 68, 69)(73, 75, 80, 78)(74, 81, 77, 83)(76, 87, 96, 90)(79, 84, 88, 92)(82, 85, 91, 89)(86, 94, 93, 95)
	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) :: { ( 12^4 ), ( 12^12 ) }
Outer automorphisms :: reflexible
Dual of E13.194
Graph:: bipartite
	v = 16 e = 48 f = 8
	degree seq :: [ 4^12, 12^4 ]

E13.189 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {3, 4, 4, 6})
Quotient :: edge^2
Aut^+ = SL(2,3) (small group id <24, 3>)
Aut   = GL(2,3) (small group id <48, 29>)
|r| :: 2
Presentation :: [ R^2, Y2^-2 * Y1^-2, Y1^-1 * Y2^2 * Y1^-1, Y1^-1 * Y2 * Y1 * Y2, Y2 * Y1^-1 * Y2^-1 * Y1^-1, R * Y1 * R * Y2, Y1^4, (R * Y3)^2, Y3 * Y1 * Y3^-1 * Y2^-1, Y2^4, Y2 * Y1^-1 * Y3 * Y2^-1 * Y3^-1, Y2 * Y1^-1 * Y3^-1 * Y1^-1 * Y3, Y3^-1 * Y2^2 * Y3^-2 ]
Map:: non-degenerate
	R = (1, 25, 4, 28, 16, 40, 8, 32, 24, 48, 7, 31)(2, 26, 10, 34, 20, 44, 5, 29, 19, 43, 12, 36)(3, 27, 13, 37, 21, 45, 6, 30, 17, 41, 14, 38)(9, 33, 15, 39, 23, 47, 11, 35, 18, 42, 22, 46)(49, 50, 56, 53)(51, 59, 54, 57)(52, 61, 72, 65)(55, 70, 64, 71)(58, 63, 67, 66)(60, 69, 68, 62)(73, 75, 80, 78)(74, 81, 77, 83)(76, 87, 96, 90)(79, 84, 88, 92)(82, 89, 91, 85)(86, 95, 93, 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) :: { ( 12^4 ), ( 12^12 ) }
Outer automorphisms :: reflexible
Dual of E13.195
Graph:: bipartite
	v = 16 e = 48 f = 8
	degree seq :: [ 4^12, 12^4 ]

E13.190 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {3, 4, 4, 6})
Quotient :: edge^2
Aut^+ = SL(2,3) (small group id <24, 3>)
Aut   = GL(2,3) (small group id <48, 29>)
|r| :: 2
Presentation :: [ R^2, Y3^3, Y2^-2 * Y1^-2, R * Y2 * R * Y1, (R * Y3)^2, Y2 * Y1 * Y2 * Y1^-1, Y1^4, Y2^4, Y3 * Y1 * Y3^-1 * Y2^-1, Y1 * Y2 * Y3 * Y2^-1 * Y3^-1, Y1^-1 * Y2^-1 * Y3^-1 * Y2^-1 * Y3^-1 * Y2^-1 * Y3 * Y2^-1 * Y3 ]
Map:: non-degenerate
	R = (1, 25, 4, 28, 7, 31)(2, 26, 10, 34, 12, 36)(3, 27, 13, 37, 14, 38)(5, 29, 18, 42, 19, 43)(6, 30, 16, 40, 20, 44)(8, 32, 23, 47, 24, 48)(9, 33, 15, 39, 21, 45)(11, 35, 17, 41, 22, 46)(49, 50, 56, 53)(51, 59, 54, 57)(52, 61, 71, 64)(55, 69, 72, 70)(58, 63, 66, 65)(60, 68, 67, 62)(73, 75, 80, 78)(74, 81, 77, 83)(76, 87, 95, 89)(79, 84, 96, 91)(82, 88, 90, 85)(86, 94, 92, 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) :: { ( 24^4 ), ( 24^6 ) }
Outer automorphisms :: reflexible
Dual of E13.192
Graph:: simple bipartite
	v = 20 e = 48 f = 4
	degree seq :: [ 4^12, 6^8 ]

E13.191 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {3, 4, 4, 6})
Quotient :: edge^2
Aut^+ = SL(2,3) (small group id <24, 3>)
Aut   = GL(2,3) (small group id <48, 29>)
|r| :: 2
Presentation :: [ R^2, Y3^3, Y1 * Y2^-2 * Y1, Y2^4, Y1^2 * Y2^2, R * Y2 * R * Y1, (R * Y3)^2, Y2 * Y1 * Y2 * Y1^-1, Y3 * Y1 * Y3^-1 * Y2^-1, Y1 * Y2 * Y3 * Y2 * Y3^-1 ]
Map:: non-degenerate
	R = (1, 25, 4, 28, 7, 31)(2, 26, 10, 34, 12, 36)(3, 27, 13, 37, 14, 38)(5, 29, 18, 42, 19, 43)(6, 30, 16, 40, 20, 44)(8, 32, 23, 47, 24, 48)(9, 33, 17, 41, 22, 46)(11, 35, 15, 39, 21, 45)(49, 50, 56, 53)(51, 59, 54, 57)(52, 61, 71, 64)(55, 69, 72, 70)(58, 65, 66, 63)(60, 62, 67, 68)(73, 75, 80, 78)(74, 81, 77, 83)(76, 87, 95, 89)(79, 84, 96, 91)(82, 85, 90, 88)(86, 93, 92, 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) :: { ( 24^4 ), ( 24^6 ) }
Outer automorphisms :: reflexible
Dual of E13.193
Graph:: simple bipartite
	v = 20 e = 48 f = 4
	degree seq :: [ 4^12, 6^8 ]

E13.192 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {3, 4, 4, 6})
Quotient :: loop^2
Aut^+ = SL(2,3) (small group id <24, 3>)
Aut   = GL(2,3) (small group id <48, 29>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y2^2 * Y1^-1, Y2^-2 * Y1^-2, R * Y1 * R * Y2, Y2 * Y1^-1 * Y2^-1 * Y1^-1, (R * Y3)^2, Y1^4, Y2^4, Y3 * Y1 * Y3^-1 * Y2^-1, Y2 * Y1^-1 * Y3 * Y2 * Y3^-1, Y3^-1 * Y2^2 * Y3^-2 ]
Map:: non-degenerate
	R = (1, 25, 49, 73, 4, 28, 52, 76, 16, 40, 64, 88, 8, 32, 56, 80, 24, 48, 72, 96, 7, 31, 55, 79)(2, 26, 50, 74, 10, 34, 58, 82, 20, 44, 68, 92, 5, 29, 53, 77, 19, 43, 67, 91, 12, 36, 60, 84)(3, 27, 51, 75, 13, 37, 61, 85, 21, 45, 69, 93, 6, 30, 54, 78, 17, 41, 65, 89, 14, 38, 62, 86)(9, 33, 57, 81, 18, 42, 66, 90, 22, 46, 70, 94, 11, 35, 59, 83, 15, 39, 63, 87, 23, 47, 71, 95)
	L = (1, 26)(2, 32)(3, 35)(4, 37)(5, 25)(6, 33)(7, 46)(8, 29)(9, 27)(10, 42)(11, 30)(12, 38)(13, 48)(14, 44)(15, 34)(16, 47)(17, 28)(18, 43)(19, 39)(20, 45)(21, 36)(22, 40)(23, 31)(24, 41)(49, 75)(50, 81)(51, 80)(52, 87)(53, 83)(54, 73)(55, 84)(56, 78)(57, 77)(58, 85)(59, 74)(60, 88)(61, 91)(62, 94)(63, 96)(64, 92)(65, 82)(66, 76)(67, 89)(68, 79)(69, 95)(70, 93)(71, 86)(72, 90)
	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 E13.190
Transitivity :: VT+
Graph::
	v = 4 e = 48 f = 20
	degree seq :: [ 24^4 ]

E13.193 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {3, 4, 4, 6})
Quotient :: loop^2
Aut^+ = SL(2,3) (small group id <24, 3>)
Aut   = GL(2,3) (small group id <48, 29>)
|r| :: 2
Presentation :: [ R^2, Y2^-2 * Y1^-2, Y1^-1 * Y2^2 * Y1^-1, Y1^-1 * Y2 * Y1 * Y2, Y2 * Y1^-1 * Y2^-1 * Y1^-1, R * Y1 * R * Y2, Y1^4, (R * Y3)^2, Y3 * Y1 * Y3^-1 * Y2^-1, Y2^4, Y2 * Y1^-1 * Y3 * Y2^-1 * Y3^-1, Y2 * Y1^-1 * Y3^-1 * Y1^-1 * Y3, Y3^-1 * Y2^2 * Y3^-2 ]
Map:: non-degenerate
	R = (1, 25, 49, 73, 4, 28, 52, 76, 16, 40, 64, 88, 8, 32, 56, 80, 24, 48, 72, 96, 7, 31, 55, 79)(2, 26, 50, 74, 10, 34, 58, 82, 20, 44, 68, 92, 5, 29, 53, 77, 19, 43, 67, 91, 12, 36, 60, 84)(3, 27, 51, 75, 13, 37, 61, 85, 21, 45, 69, 93, 6, 30, 54, 78, 17, 41, 65, 89, 14, 38, 62, 86)(9, 33, 57, 81, 15, 39, 63, 87, 23, 47, 71, 95, 11, 35, 59, 83, 18, 42, 66, 90, 22, 46, 70, 94)
	L = (1, 26)(2, 32)(3, 35)(4, 37)(5, 25)(6, 33)(7, 46)(8, 29)(9, 27)(10, 39)(11, 30)(12, 45)(13, 48)(14, 36)(15, 43)(16, 47)(17, 28)(18, 34)(19, 42)(20, 38)(21, 44)(22, 40)(23, 31)(24, 41)(49, 75)(50, 81)(51, 80)(52, 87)(53, 83)(54, 73)(55, 84)(56, 78)(57, 77)(58, 89)(59, 74)(60, 88)(61, 82)(62, 95)(63, 96)(64, 92)(65, 91)(66, 76)(67, 85)(68, 79)(69, 94)(70, 86)(71, 93)(72, 90)
	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 E13.191
Transitivity :: VT+
Graph::
	v = 4 e = 48 f = 20
	degree seq :: [ 24^4 ]

E13.194 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {3, 4, 4, 6})
Quotient :: loop^2
Aut^+ = SL(2,3) (small group id <24, 3>)
Aut   = GL(2,3) (small group id <48, 29>)
|r| :: 2
Presentation :: [ R^2, Y3^3, Y2^-2 * Y1^-2, R * Y2 * R * Y1, (R * Y3)^2, Y2 * Y1 * Y2 * Y1^-1, Y1^4, Y2^4, Y3 * Y1 * Y3^-1 * Y2^-1, Y1 * Y2 * Y3 * Y2^-1 * Y3^-1, Y1^-1 * Y2^-1 * Y3^-1 * Y2^-1 * Y3^-1 * Y2^-1 * Y3 * Y2^-1 * Y3 ]
Map:: non-degenerate
	R = (1, 25, 49, 73, 4, 28, 52, 76, 7, 31, 55, 79)(2, 26, 50, 74, 10, 34, 58, 82, 12, 36, 60, 84)(3, 27, 51, 75, 13, 37, 61, 85, 14, 38, 62, 86)(5, 29, 53, 77, 18, 42, 66, 90, 19, 43, 67, 91)(6, 30, 54, 78, 16, 40, 64, 88, 20, 44, 68, 92)(8, 32, 56, 80, 23, 47, 71, 95, 24, 48, 72, 96)(9, 33, 57, 81, 15, 39, 63, 87, 21, 45, 69, 93)(11, 35, 59, 83, 17, 41, 65, 89, 22, 46, 70, 94)
	L = (1, 26)(2, 32)(3, 35)(4, 37)(5, 25)(6, 33)(7, 45)(8, 29)(9, 27)(10, 39)(11, 30)(12, 44)(13, 47)(14, 36)(15, 42)(16, 28)(17, 34)(18, 41)(19, 38)(20, 43)(21, 48)(22, 31)(23, 40)(24, 46)(49, 75)(50, 81)(51, 80)(52, 87)(53, 83)(54, 73)(55, 84)(56, 78)(57, 77)(58, 88)(59, 74)(60, 96)(61, 82)(62, 94)(63, 95)(64, 90)(65, 76)(66, 85)(67, 79)(68, 93)(69, 86)(70, 92)(71, 89)(72, 91)
	local type(s) :: { ( 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E13.188
Transitivity :: VT+
Graph::
	v = 8 e = 48 f = 16
	degree seq :: [ 12^8 ]

E13.195 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {3, 4, 4, 6})
Quotient :: loop^2
Aut^+ = SL(2,3) (small group id <24, 3>)
Aut   = GL(2,3) (small group id <48, 29>)
|r| :: 2
Presentation :: [ R^2, Y3^3, Y1 * Y2^-2 * Y1, Y2^4, Y1^2 * Y2^2, R * Y2 * R * Y1, (R * Y3)^2, Y2 * Y1 * Y2 * Y1^-1, Y3 * Y1 * Y3^-1 * Y2^-1, Y1 * Y2 * Y3 * Y2 * Y3^-1 ]
Map:: non-degenerate
	R = (1, 25, 49, 73, 4, 28, 52, 76, 7, 31, 55, 79)(2, 26, 50, 74, 10, 34, 58, 82, 12, 36, 60, 84)(3, 27, 51, 75, 13, 37, 61, 85, 14, 38, 62, 86)(5, 29, 53, 77, 18, 42, 66, 90, 19, 43, 67, 91)(6, 30, 54, 78, 16, 40, 64, 88, 20, 44, 68, 92)(8, 32, 56, 80, 23, 47, 71, 95, 24, 48, 72, 96)(9, 33, 57, 81, 17, 41, 65, 89, 22, 46, 70, 94)(11, 35, 59, 83, 15, 39, 63, 87, 21, 45, 69, 93)
	L = (1, 26)(2, 32)(3, 35)(4, 37)(5, 25)(6, 33)(7, 45)(8, 29)(9, 27)(10, 41)(11, 30)(12, 38)(13, 47)(14, 43)(15, 34)(16, 28)(17, 42)(18, 39)(19, 44)(20, 36)(21, 48)(22, 31)(23, 40)(24, 46)(49, 75)(50, 81)(51, 80)(52, 87)(53, 83)(54, 73)(55, 84)(56, 78)(57, 77)(58, 85)(59, 74)(60, 96)(61, 90)(62, 93)(63, 95)(64, 82)(65, 76)(66, 88)(67, 79)(68, 94)(69, 92)(70, 86)(71, 89)(72, 91)
	local type(s) :: { ( 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E13.189
Transitivity :: VT+
Graph::
	v = 8 e = 48 f = 16
	degree seq :: [ 12^8 ]

E13.196 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 4, 4, 6})
Quotient :: dipole
Aut^+ = SL(2,3) (small group id <24, 3>)
Aut   = GL(2,3) (small group id <48, 29>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2^2 * Y3, Y1^3, Y1 * Y3 * Y1^-1 * Y3, (R * Y3)^2, (R * Y2)^2, (R * Y1)^2, Y2^-1 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 25, 2, 26, 5, 29)(3, 27, 10, 34, 11, 35)(4, 28, 8, 32, 12, 36)(6, 30, 15, 39, 16, 40)(7, 31, 17, 41, 18, 42)(9, 33, 19, 43, 20, 44)(13, 37, 23, 47, 22, 46)(14, 38, 24, 48, 21, 45)(49, 73, 51, 75, 52, 76, 54, 78)(50, 74, 55, 79, 56, 80, 57, 81)(53, 77, 61, 85, 60, 84, 62, 86)(58, 82, 69, 93, 63, 87, 70, 94)(59, 83, 65, 89, 64, 88, 67, 91)(66, 90, 71, 95, 68, 92, 72, 96)
	L = (1, 52)(2, 56)(3, 54)(4, 49)(5, 60)(6, 51)(7, 57)(8, 50)(9, 55)(10, 63)(11, 64)(12, 53)(13, 62)(14, 61)(15, 58)(16, 59)(17, 67)(18, 68)(19, 65)(20, 66)(21, 70)(22, 69)(23, 72)(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, 12, 8, 12, 8, 12 ), ( 8, 12, 8, 12, 8, 12, 8, 12 ) }
Outer automorphisms :: reflexible
Dual of E13.200
Graph:: bipartite
	v = 14 e = 48 f = 10
	degree seq :: [ 6^8, 8^6 ]

E13.197 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 4, 4, 6})
Quotient :: dipole
Aut^+ = SL(2,3) (small group id <24, 3>)
Aut   = GL(2,3) (small group id <48, 29>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2^2 * Y3, Y1^3, Y1 * Y3 * Y1^-1 * Y3, (R * Y3)^2, (R * Y2)^2, (R * Y1)^2, Y2^-1 * Y1^-1 * Y2 * Y1^-1 * Y2^-1 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 25, 2, 26, 5, 29)(3, 27, 10, 34, 11, 35)(4, 28, 8, 32, 12, 36)(6, 30, 15, 39, 16, 40)(7, 31, 17, 41, 18, 42)(9, 33, 19, 43, 20, 44)(13, 37, 23, 47, 21, 45)(14, 38, 24, 48, 22, 46)(49, 73, 51, 75, 52, 76, 54, 78)(50, 74, 55, 79, 56, 80, 57, 81)(53, 77, 61, 85, 60, 84, 62, 86)(58, 82, 69, 93, 63, 87, 70, 94)(59, 83, 67, 91, 64, 88, 65, 89)(66, 90, 72, 96, 68, 92, 71, 95)
	L = (1, 52)(2, 56)(3, 54)(4, 49)(5, 60)(6, 51)(7, 57)(8, 50)(9, 55)(10, 63)(11, 64)(12, 53)(13, 62)(14, 61)(15, 58)(16, 59)(17, 67)(18, 68)(19, 65)(20, 66)(21, 70)(22, 69)(23, 72)(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, 12, 8, 12, 8, 12 ), ( 8, 12, 8, 12, 8, 12, 8, 12 ) }
Outer automorphisms :: reflexible
Dual of E13.201
Graph:: bipartite
	v = 14 e = 48 f = 10
	degree seq :: [ 6^8, 8^6 ]

E13.198 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 4, 4, 6})
Quotient :: dipole
Aut^+ = SL(2,3) (small group id <24, 3>)
Aut   = GL(2,3) (small group id <48, 29>)
|r| :: 2
Presentation :: [ R^2, Y3^3, Y2^4, Y1^2 * Y2^-2, Y2^-2 * Y1^-2, Y2^-1 * Y1 * Y2^-1 * Y1^-1, Y2^-1 * Y1^-1 * Y2 * Y1^-1, Y3 * Y1 * Y3^-1 * Y2^-1, (R * Y1)^2, (R * Y3)^2, Y1 * Y3 * Y2 * Y1^-1 * Y3^-1, R * Y2 * Y1 * R * Y2, Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-2 ]
Map:: non-degenerate
	R = (1, 25, 2, 26, 8, 32, 5, 29)(3, 27, 11, 35, 6, 30, 9, 33)(4, 28, 13, 37, 23, 47, 16, 40)(7, 31, 21, 45, 24, 48, 22, 46)(10, 34, 17, 41, 18, 42, 15, 39)(12, 36, 14, 38, 19, 43, 20, 44)(49, 73, 51, 75, 56, 80, 54, 78)(50, 74, 57, 81, 53, 77, 59, 83)(52, 76, 63, 87, 71, 95, 65, 89)(55, 79, 60, 84, 72, 96, 67, 91)(58, 82, 61, 85, 66, 90, 64, 88)(62, 86, 69, 93, 68, 92, 70, 94)
	L = (1, 52)(2, 58)(3, 61)(4, 55)(5, 66)(6, 64)(7, 49)(8, 71)(9, 65)(10, 60)(11, 63)(12, 50)(13, 62)(14, 51)(15, 69)(16, 68)(17, 70)(18, 67)(19, 53)(20, 54)(21, 59)(22, 57)(23, 72)(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) :: { ( 6, 12, 6, 12, 6, 12, 6, 12 ) }
Outer automorphisms :: reflexible
Dual of E13.199
Graph:: bipartite
	v = 12 e = 48 f = 12
	degree seq :: [ 8^12 ]

E13.199 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 4, 4, 6})
Quotient :: dipole
Aut^+ = SL(2,3) (small group id <24, 3>)
Aut   = GL(2,3) (small group id <48, 29>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y2^-1 * Y3^-1, Y2^3, Y3^3, (R * Y3^-1)^2, Y1 * Y3^-1 * Y1^-1 * Y2, (R * Y1)^2, Y1^6, (Y1^-1 * Y2^-1)^4, (Y3 * Y2^-1)^4 ]
Map:: non-degenerate
	R = (1, 25, 2, 26, 8, 32, 20, 44, 16, 40, 5, 29)(3, 27, 10, 34, 23, 47, 22, 46, 17, 41, 7, 31)(4, 28, 14, 38, 12, 36, 24, 48, 18, 42, 15, 39)(6, 30, 11, 35, 9, 33, 21, 45, 19, 43, 13, 37)(49, 73, 51, 75, 54, 78)(50, 74, 57, 81, 52, 76)(53, 77, 63, 87, 65, 89)(55, 79, 62, 86, 67, 91)(56, 80, 60, 84, 58, 82)(59, 83, 71, 95, 66, 90)(61, 85, 72, 96, 64, 88)(68, 92, 70, 94, 69, 93)
	L = (1, 52)(2, 58)(3, 60)(4, 55)(5, 54)(6, 66)(7, 49)(8, 69)(9, 70)(10, 59)(11, 50)(12, 61)(13, 51)(14, 56)(15, 57)(16, 65)(17, 67)(18, 53)(19, 64)(20, 72)(21, 62)(22, 63)(23, 68)(24, 71)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 8^6 ), ( 8^12 ) }
Outer automorphisms :: reflexible
Dual of E13.198
Graph:: bipartite
	v = 12 e = 48 f = 12
	degree seq :: [ 6^8, 12^4 ]

E13.200 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 4, 4, 6})
Quotient :: dipole
Aut^+ = SL(2,3) (small group id <24, 3>)
Aut   = GL(2,3) (small group id <48, 29>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y1^2 * Y3, Y2^-3 * Y3, Y2 * Y3 * Y2^-1 * Y3, (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, (Y2^-1 * Y1^-1)^3 ]
Map:: non-degenerate
	R = (1, 25, 2, 26, 4, 28, 5, 29)(3, 27, 9, 33, 11, 35, 12, 36)(6, 30, 15, 39, 10, 34, 16, 40)(7, 31, 17, 41, 13, 37, 18, 42)(8, 32, 19, 43, 14, 38, 20, 44)(21, 45, 24, 48, 22, 46, 23, 47)(49, 73, 51, 75, 58, 82, 52, 76, 59, 83, 54, 78)(50, 74, 55, 79, 62, 86, 53, 77, 61, 85, 56, 80)(57, 81, 67, 91, 70, 94, 60, 84, 68, 92, 69, 93)(63, 87, 71, 95, 65, 89, 64, 88, 72, 96, 66, 90)
	L = (1, 52)(2, 53)(3, 59)(4, 49)(5, 50)(6, 58)(7, 61)(8, 62)(9, 60)(10, 54)(11, 51)(12, 57)(13, 55)(14, 56)(15, 64)(16, 63)(17, 66)(18, 65)(19, 68)(20, 67)(21, 70)(22, 69)(23, 72)(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) :: { ( 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 E13.196
Graph:: bipartite
	v = 10 e = 48 f = 14
	degree seq :: [ 8^6, 12^4 ]

E13.201 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 4, 4, 6})
Quotient :: dipole
Aut^+ = SL(2,3) (small group id <24, 3>)
Aut   = GL(2,3) (small group id <48, 29>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y1^2 * Y3, Y2^-3 * Y3, Y2^-1 * Y3 * Y2 * Y3, (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, Y2 * Y1 * Y2 * Y1 * Y2 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 25, 2, 26, 4, 28, 5, 29)(3, 27, 9, 33, 11, 35, 12, 36)(6, 30, 15, 39, 10, 34, 16, 40)(7, 31, 17, 41, 13, 37, 18, 42)(8, 32, 19, 43, 14, 38, 20, 44)(21, 45, 23, 47, 22, 46, 24, 48)(49, 73, 51, 75, 58, 82, 52, 76, 59, 83, 54, 78)(50, 74, 55, 79, 62, 86, 53, 77, 61, 85, 56, 80)(57, 81, 68, 92, 70, 94, 60, 84, 67, 91, 69, 93)(63, 87, 71, 95, 66, 90, 64, 88, 72, 96, 65, 89)
	L = (1, 52)(2, 53)(3, 59)(4, 49)(5, 50)(6, 58)(7, 61)(8, 62)(9, 60)(10, 54)(11, 51)(12, 57)(13, 55)(14, 56)(15, 64)(16, 63)(17, 66)(18, 65)(19, 68)(20, 67)(21, 70)(22, 69)(23, 72)(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) :: { ( 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 E13.197
Graph:: bipartite
	v = 10 e = 48 f = 14
	degree seq :: [ 8^6, 12^4 ]

E13.202 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {3, 4, 4, 6})
Quotient :: edge^2
Aut^+ = C2 x (C3 : C4) (small group id <24, 7>)
Aut   = (C12 x C2) : C2 (small group id <48, 14>)
|r| :: 2
Presentation :: [ R^2, Y2^2 * Y1^2, Y2^-2 * Y1^2, Y1^4, (Y2^-1, Y1^-1), (R * Y3)^2, Y1 * Y3 * Y1^-1 * Y3, Y3^-1 * Y2 * Y3^-1 * Y2^-1, R * Y1 * R * Y2, Y1^-1 * Y2^-1 * Y3^3 ]
Map:: non-degenerate
	R = (1, 25, 4, 28, 15, 39, 9, 33, 20, 44, 7, 31)(2, 26, 10, 34, 17, 41, 6, 30, 19, 43, 12, 36)(3, 27, 13, 37, 16, 40, 5, 29, 18, 42, 14, 38)(8, 32, 21, 45, 23, 47, 11, 35, 24, 48, 22, 46)(49, 50, 56, 53)(51, 57, 54, 59)(52, 60, 69, 64)(55, 58, 70, 66)(61, 63, 67, 71)(62, 68, 65, 72)(73, 75, 80, 78)(74, 81, 77, 83)(76, 86, 93, 89)(79, 85, 94, 91)(82, 87, 90, 95)(84, 92, 88, 96)
	L = (1, 49)(2, 50)(3, 51)(4, 52)(5, 53)(6, 54)(7, 55)(8, 56)(9, 57)(10, 58)(11, 59)(12, 60)(13, 61)(14, 62)(15, 63)(16, 64)(17, 65)(18, 66)(19, 67)(20, 68)(21, 69)(22, 70)(23, 71)(24, 72)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 12^4 ), ( 12^12 ) }
Outer automorphisms :: reflexible
Dual of E13.205
Graph:: simple bipartite
	v = 16 e = 48 f = 8
	degree seq :: [ 4^12, 12^4 ]

E13.203 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {3, 4, 4, 6})
Quotient :: edge^2
Aut^+ = C2 x (C3 : C4) (small group id <24, 7>)
Aut   = (C12 x C2) : C2 (small group id <48, 14>)
|r| :: 2
Presentation :: [ R^2, Y3^3, Y2^2 * Y1^2, Y1^-2 * Y2^2, Y1^4, R * Y2 * R * Y1, (R * Y3)^2, (Y2^-1, Y1), Y3 * Y1 * Y3 * Y1^-1, Y3 * Y2 * Y3 * Y2^-1, Y3 * Y1^-1 * Y2^-1 * Y1^-1 * Y3^-1 * Y2^-1 * Y1^-1 * Y3^-1 * Y2^-1 * Y1^-1 * Y3^-1 * Y2^-1 * Y1^-1 * Y3^-1 * Y2^-1 * Y1^-1 * Y3^-1 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 25, 4, 28, 7, 31)(2, 26, 10, 34, 12, 36)(3, 27, 13, 37, 14, 38)(5, 29, 17, 41, 15, 39)(6, 30, 18, 42, 16, 40)(8, 32, 19, 43, 20, 44)(9, 33, 21, 45, 22, 46)(11, 35, 24, 48, 23, 47)(49, 50, 56, 53)(51, 57, 54, 59)(52, 60, 67, 63)(55, 58, 68, 65)(61, 70, 66, 71)(62, 69, 64, 72)(73, 75, 80, 78)(74, 81, 77, 83)(76, 86, 91, 88)(79, 85, 92, 90)(82, 94, 89, 95)(84, 93, 87, 96)
	L = (1, 49)(2, 50)(3, 51)(4, 52)(5, 53)(6, 54)(7, 55)(8, 56)(9, 57)(10, 58)(11, 59)(12, 60)(13, 61)(14, 62)(15, 63)(16, 64)(17, 65)(18, 66)(19, 67)(20, 68)(21, 69)(22, 70)(23, 71)(24, 72)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 24^4 ), ( 24^6 ) }
Outer automorphisms :: reflexible
Dual of E13.204
Graph:: simple bipartite
	v = 20 e = 48 f = 4
	degree seq :: [ 4^12, 6^8 ]

E13.204 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {3, 4, 4, 6})
Quotient :: loop^2
Aut^+ = C2 x (C3 : C4) (small group id <24, 7>)
Aut   = (C12 x C2) : C2 (small group id <48, 14>)
|r| :: 2
Presentation :: [ R^2, Y2^2 * Y1^2, Y2^-2 * Y1^2, Y1^4, (Y2^-1, Y1^-1), (R * Y3)^2, Y1 * Y3 * Y1^-1 * Y3, Y3^-1 * Y2 * Y3^-1 * Y2^-1, R * Y1 * R * Y2, Y1^-1 * Y2^-1 * Y3^3 ]
Map:: non-degenerate
	R = (1, 25, 49, 73, 4, 28, 52, 76, 15, 39, 63, 87, 9, 33, 57, 81, 20, 44, 68, 92, 7, 31, 55, 79)(2, 26, 50, 74, 10, 34, 58, 82, 17, 41, 65, 89, 6, 30, 54, 78, 19, 43, 67, 91, 12, 36, 60, 84)(3, 27, 51, 75, 13, 37, 61, 85, 16, 40, 64, 88, 5, 29, 53, 77, 18, 42, 66, 90, 14, 38, 62, 86)(8, 32, 56, 80, 21, 45, 69, 93, 23, 47, 71, 95, 11, 35, 59, 83, 24, 48, 72, 96, 22, 46, 70, 94)
	L = (1, 26)(2, 32)(3, 33)(4, 36)(5, 25)(6, 35)(7, 34)(8, 29)(9, 30)(10, 46)(11, 27)(12, 45)(13, 39)(14, 44)(15, 43)(16, 28)(17, 48)(18, 31)(19, 47)(20, 41)(21, 40)(22, 42)(23, 37)(24, 38)(49, 75)(50, 81)(51, 80)(52, 86)(53, 83)(54, 73)(55, 85)(56, 78)(57, 77)(58, 87)(59, 74)(60, 92)(61, 94)(62, 93)(63, 90)(64, 96)(65, 76)(66, 95)(67, 79)(68, 88)(69, 89)(70, 91)(71, 82)(72, 84)
	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 E13.203
Transitivity :: VT+
Graph:: bipartite
	v = 4 e = 48 f = 20
	degree seq :: [ 24^4 ]

E13.205 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {3, 4, 4, 6})
Quotient :: loop^2
Aut^+ = C2 x (C3 : C4) (small group id <24, 7>)
Aut   = (C12 x C2) : C2 (small group id <48, 14>)
|r| :: 2
Presentation :: [ R^2, Y3^3, Y2^2 * Y1^2, Y1^-2 * Y2^2, Y1^4, R * Y2 * R * Y1, (R * Y3)^2, (Y2^-1, Y1), Y3 * Y1 * Y3 * Y1^-1, Y3 * Y2 * Y3 * Y2^-1, Y3 * Y1^-1 * Y2^-1 * Y1^-1 * Y3^-1 * Y2^-1 * Y1^-1 * Y3^-1 * Y2^-1 * Y1^-1 * Y3^-1 * Y2^-1 * Y1^-1 * Y3^-1 * Y2^-1 * Y1^-1 * Y3^-1 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 25, 49, 73, 4, 28, 52, 76, 7, 31, 55, 79)(2, 26, 50, 74, 10, 34, 58, 82, 12, 36, 60, 84)(3, 27, 51, 75, 13, 37, 61, 85, 14, 38, 62, 86)(5, 29, 53, 77, 17, 41, 65, 89, 15, 39, 63, 87)(6, 30, 54, 78, 18, 42, 66, 90, 16, 40, 64, 88)(8, 32, 56, 80, 19, 43, 67, 91, 20, 44, 68, 92)(9, 33, 57, 81, 21, 45, 69, 93, 22, 46, 70, 94)(11, 35, 59, 83, 24, 48, 72, 96, 23, 47, 71, 95)
	L = (1, 26)(2, 32)(3, 33)(4, 36)(5, 25)(6, 35)(7, 34)(8, 29)(9, 30)(10, 44)(11, 27)(12, 43)(13, 46)(14, 45)(15, 28)(16, 48)(17, 31)(18, 47)(19, 39)(20, 41)(21, 40)(22, 42)(23, 37)(24, 38)(49, 75)(50, 81)(51, 80)(52, 86)(53, 83)(54, 73)(55, 85)(56, 78)(57, 77)(58, 94)(59, 74)(60, 93)(61, 92)(62, 91)(63, 96)(64, 76)(65, 95)(66, 79)(67, 88)(68, 90)(69, 87)(70, 89)(71, 82)(72, 84)
	local type(s) :: { ( 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E13.202
Transitivity :: VT+
Graph:: bipartite
	v = 8 e = 48 f = 16
	degree seq :: [ 12^8 ]

E13.206 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 4, 4, 6})
Quotient :: dipole
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 :: [ R^2, Y3^2, Y1^3, (R * Y3)^2, (R * Y1)^2, (Y2^-1 * R)^2, Y1^-1 * Y3 * Y1 * Y3, Y3 * Y2 * Y3 * Y2^-1, Y2 * Y1^-1 * Y2^-1 * Y1^-1, Y2^4, Y1^-1 * Y3 * Y2 * Y1^-1 * Y3 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 25, 2, 26, 5, 29)(3, 27, 10, 34, 7, 31)(4, 28, 8, 32, 13, 37)(6, 30, 15, 39, 9, 33)(11, 35, 16, 40, 19, 43)(12, 36, 20, 44, 17, 41)(14, 38, 22, 46, 18, 42)(21, 45, 23, 47, 24, 48)(49, 73, 51, 75, 59, 83, 54, 78)(50, 74, 55, 79, 64, 88, 57, 81)(52, 76, 60, 84, 69, 93, 62, 86)(53, 77, 58, 82, 67, 91, 63, 87)(56, 80, 65, 89, 71, 95, 66, 90)(61, 85, 68, 92, 72, 96, 70, 94)
	L = (1, 52)(2, 56)(3, 60)(4, 49)(5, 61)(6, 62)(7, 65)(8, 50)(9, 66)(10, 68)(11, 69)(12, 51)(13, 53)(14, 54)(15, 70)(16, 71)(17, 55)(18, 57)(19, 72)(20, 58)(21, 59)(22, 63)(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, 12, 8, 12, 8, 12 ), ( 8, 12, 8, 12, 8, 12, 8, 12 ) }
Outer automorphisms :: reflexible
Dual of E13.208
Graph:: simple bipartite
	v = 14 e = 48 f = 10
	degree seq :: [ 6^8, 8^6 ]

E13.207 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 4, 4, 6})
Quotient :: dipole
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 :: [ R^2, Y1^3, Y3 * Y1 * Y3, Y1 * Y2^-1 * Y1 * Y2, (R * Y1)^2, (R * Y3)^2, Y2^-1 * Y3^-1 * Y2 * Y3^-1, Y2^4, (Y3 * Y1^-1)^2, (R * Y2 * Y3^-1)^2 ]
Map:: non-degenerate
	R = (1, 25, 2, 26, 5, 29)(3, 27, 11, 35, 8, 32)(4, 28, 7, 31, 10, 34)(6, 30, 16, 40, 9, 33)(12, 36, 18, 42, 21, 45)(13, 37, 14, 38, 19, 43)(15, 39, 20, 44, 17, 41)(22, 46, 23, 47, 24, 48)(49, 73, 51, 75, 60, 84, 54, 78)(50, 74, 56, 80, 66, 90, 57, 81)(52, 76, 62, 86, 70, 94, 63, 87)(53, 77, 59, 83, 69, 93, 64, 88)(55, 79, 61, 85, 71, 95, 65, 89)(58, 82, 67, 91, 72, 96, 68, 92)
	L = (1, 52)(2, 55)(3, 61)(4, 53)(5, 58)(6, 65)(7, 49)(8, 67)(9, 68)(10, 50)(11, 62)(12, 70)(13, 56)(14, 51)(15, 54)(16, 63)(17, 57)(18, 71)(19, 59)(20, 64)(21, 72)(22, 69)(23, 60)(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, 12, 8, 12, 8, 12 ), ( 8, 12, 8, 12, 8, 12, 8, 12 ) }
Outer automorphisms :: reflexible
Dual of E13.209
Graph:: simple bipartite
	v = 14 e = 48 f = 10
	degree seq :: [ 6^8, 8^6 ]

E13.208 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 4, 4, 6})
Quotient :: dipole
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 :: [ R^2, Y3^2, Y2^-3 * Y3, (R * Y2)^2, Y1^-1 * Y3 * Y1 * Y3, (R * Y1)^2, (R * Y3)^2, Y3 * Y2 * Y3 * Y2^-1, Y1^4, Y2 * Y1 * Y2 * Y1^-1, Y3 * Y2^-1 * Y1 * Y3 * Y2^-1 * Y1^-1, Y2^2 * Y1 * Y2^-1 * Y3 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 25, 2, 26, 7, 31, 5, 29)(3, 27, 10, 34, 16, 40, 13, 37)(4, 28, 9, 33, 17, 41, 14, 38)(6, 30, 8, 32, 18, 42, 15, 39)(11, 35, 20, 44, 23, 47, 21, 45)(12, 36, 19, 43, 24, 48, 22, 46)(49, 73, 51, 75, 59, 83, 52, 76, 60, 84, 54, 78)(50, 74, 56, 80, 67, 91, 57, 81, 68, 92, 58, 82)(53, 77, 63, 87, 70, 94, 62, 86, 69, 93, 61, 85)(55, 79, 64, 88, 71, 95, 65, 89, 72, 96, 66, 90)
	L = (1, 52)(2, 57)(3, 60)(4, 49)(5, 62)(6, 59)(7, 65)(8, 68)(9, 50)(10, 67)(11, 54)(12, 51)(13, 70)(14, 53)(15, 69)(16, 72)(17, 55)(18, 71)(19, 58)(20, 56)(21, 63)(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, 8, 6, 8, 6, 8, 6, 8 ), ( 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8 ) }
Outer automorphisms :: reflexible
Dual of E13.206
Graph:: bipartite
	v = 10 e = 48 f = 14
	degree seq :: [ 8^6, 12^4 ]

E13.209 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 4, 4, 6})
Quotient :: dipole
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 :: [ R^2, Y2 * Y3, Y2 * Y1 * Y2 * Y1^-1, (R * Y3)^2, (R * Y1)^2, Y1^4, Y1^-1 * Y3 * Y1 * Y2^-1, Y2 * Y1 * Y3^-1 * Y1^-1, (Y3 * Y2^-1)^3, Y2^6, (Y1^-1 * Y2^-1)^4 ]
Map:: non-degenerate
	R = (1, 25, 2, 26, 6, 30, 5, 29)(3, 27, 8, 32, 13, 37, 10, 34)(4, 28, 7, 31, 14, 38, 12, 36)(9, 33, 16, 40, 20, 44, 18, 42)(11, 35, 15, 39, 21, 45, 19, 43)(17, 41, 22, 46, 24, 48, 23, 47)(49, 73, 51, 75, 57, 81, 65, 89, 59, 83, 52, 76)(50, 74, 55, 79, 63, 87, 70, 94, 64, 88, 56, 80)(53, 77, 60, 84, 67, 91, 71, 95, 66, 90, 58, 82)(54, 78, 61, 85, 68, 92, 72, 96, 69, 93, 62, 86)
	L = (1, 52)(2, 56)(3, 49)(4, 59)(5, 58)(6, 62)(7, 50)(8, 64)(9, 51)(10, 66)(11, 65)(12, 53)(13, 54)(14, 69)(15, 55)(16, 70)(17, 57)(18, 71)(19, 60)(20, 61)(21, 72)(22, 63)(23, 67)(24, 68)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 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 E13.207
Graph:: bipartite
	v = 10 e = 48 f = 14
	degree seq :: [ 8^6, 12^4 ]

E13.210 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 4, 4, 6})
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, Y1^3, (R * Y3)^2, Y1^-1 * Y3 * Y1 * Y3, (R * Y1)^2, (Y2^-1 * R)^2, Y3 * Y2 * Y3 * Y2^-1, (Y2^-1, Y1^-1), Y2^4 ]
Map:: non-degenerate
	R = (1, 25, 2, 26, 5, 29)(3, 27, 7, 31, 12, 36)(4, 28, 8, 32, 13, 37)(6, 30, 9, 33, 15, 39)(10, 34, 16, 40, 20, 44)(11, 35, 17, 41, 21, 45)(14, 38, 18, 42, 22, 46)(19, 43, 23, 47, 24, 48)(49, 73, 51, 75, 58, 82, 54, 78)(50, 74, 55, 79, 64, 88, 57, 81)(52, 76, 59, 83, 67, 91, 62, 86)(53, 77, 60, 84, 68, 92, 63, 87)(56, 80, 65, 89, 71, 95, 66, 90)(61, 85, 69, 93, 72, 96, 70, 94)
	L = (1, 52)(2, 56)(3, 59)(4, 49)(5, 61)(6, 62)(7, 65)(8, 50)(9, 66)(10, 67)(11, 51)(12, 69)(13, 53)(14, 54)(15, 70)(16, 71)(17, 55)(18, 57)(19, 58)(20, 72)(21, 60)(22, 63)(23, 64)(24, 68)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 8, 12, 8, 12, 8, 12 ), ( 8, 12, 8, 12, 8, 12, 8, 12 ) }
Outer automorphisms :: reflexible
Dual of E13.211
Graph:: simple bipartite
	v = 14 e = 48 f = 10
	degree seq :: [ 6^8, 8^6 ]

E13.211 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 4, 4, 6})
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^-3 * Y3, (R * Y2)^2, (R * Y1)^2, (R * Y3)^2, Y3 * Y1 * Y3 * Y1^-1, Y3 * Y2 * Y3 * Y2^-1, (Y2^-1, Y1^-1), Y1^4 ]
Map:: non-degenerate
	R = (1, 25, 2, 26, 7, 31, 5, 29)(3, 27, 8, 32, 16, 40, 13, 37)(4, 28, 9, 33, 17, 41, 14, 38)(6, 30, 10, 34, 18, 42, 15, 39)(11, 35, 19, 43, 23, 47, 21, 45)(12, 36, 20, 44, 24, 48, 22, 46)(49, 73, 51, 75, 59, 83, 52, 76, 60, 84, 54, 78)(50, 74, 56, 80, 67, 91, 57, 81, 68, 92, 58, 82)(53, 77, 61, 85, 69, 93, 62, 86, 70, 94, 63, 87)(55, 79, 64, 88, 71, 95, 65, 89, 72, 96, 66, 90)
	L = (1, 52)(2, 57)(3, 60)(4, 49)(5, 62)(6, 59)(7, 65)(8, 68)(9, 50)(10, 67)(11, 54)(12, 51)(13, 70)(14, 53)(15, 69)(16, 72)(17, 55)(18, 71)(19, 58)(20, 56)(21, 63)(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, 8, 6, 8, 6, 8, 6, 8 ), ( 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8 ) }
Outer automorphisms :: reflexible
Dual of E13.210
Graph:: bipartite
	v = 10 e = 48 f = 14
	degree seq :: [ 8^6, 12^4 ]

E13.212 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 3, 6, 6})
Quotient :: dipole
Aut^+ = SL(2,3) (small group id <24, 3>)
Aut   = GL(2,3) (small group id <48, 29>)
|r| :: 2
Presentation :: [ Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, R^2, Y1^3, (R * Y3)^2, (R * Y1)^2, Y2 * Y1^-1 * Y2^-2 * Y1^-1, Y2^-1 * Y1 * Y2^2 * Y1, (Y2^-1 * Y1^-1)^3, Y2^6, (Y3^-1 * Y1^-1)^3, (R * Y2 * Y3^-1)^2, (Y3 * Y2^-1)^6 ]
Map::
	R = (1, 25, 2, 26, 4, 28)(3, 27, 8, 32, 10, 34)(5, 29, 13, 37, 14, 38)(6, 30, 16, 40, 17, 41)(7, 31, 15, 39, 18, 42)(9, 33, 11, 35, 22, 46)(12, 36, 19, 43, 20, 44)(21, 45, 23, 47, 24, 48)(49, 73, 51, 75, 57, 81, 69, 93, 63, 87, 53, 77)(50, 74, 54, 78, 58, 82, 71, 95, 67, 91, 55, 79)(52, 76, 59, 83, 65, 89, 72, 96, 61, 85, 60, 84)(56, 80, 68, 92, 70, 94, 66, 90, 64, 88, 62, 86)
	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) :: { ( 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 = 12 e = 48 f = 12
	degree seq :: [ 6^8, 12^4 ]

E13.213 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 3, 6, 6})
Quotient :: dipole
Aut^+ = SL(2,3) (small group id <24, 3>)
Aut   = GL(2,3) (small group id <48, 29>)
|r| :: 2
Presentation :: [ Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, R^2, Y1^3, (R * Y1)^2, (R * Y3)^2, Y2 * Y1^-1 * Y2^-1 * Y1^-1 * Y2, Y2^-2 * Y1 * Y2 * Y1, (Y3^-1 * Y1^-1)^3, Y2^6, (Y2 * Y1^-1)^3, (R * Y2 * Y3^-1)^2, (Y3 * Y2^-1)^6 ]
Map::
	R = (1, 25, 2, 26, 4, 28)(3, 27, 8, 32, 10, 34)(5, 29, 13, 37, 14, 38)(6, 30, 9, 33, 17, 41)(7, 31, 18, 42, 19, 43)(11, 35, 16, 40, 22, 46)(12, 36, 23, 47, 15, 39)(20, 44, 21, 45, 24, 48)(49, 73, 51, 75, 57, 81, 69, 93, 63, 87, 53, 77)(50, 74, 54, 78, 64, 88, 72, 96, 62, 86, 55, 79)(52, 76, 59, 83, 56, 80, 68, 92, 67, 91, 60, 84)(58, 82, 66, 90, 65, 89, 71, 95, 70, 94, 61, 85)
	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) :: { ( 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 = 12 e = 48 f = 12
	degree seq :: [ 6^8, 12^4 ]

E13.214 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 3, 6, 6})
Quotient :: dipole
Aut^+ = SL(2,3) (small group id <24, 3>)
Aut   = GL(2,3) (small group id <48, 29>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y1^-1 * Y3, Y1^3, (R * Y3^-1)^2, Y3^4, (R * Y1)^2, Y2 * Y3 * Y1 * Y2, Y1 * Y3^-2 * Y2^-1 * Y3, (Y1^-1 * Y3^-1)^3, Y2 * Y1 * Y2 * Y1 * Y3^-1 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 25, 2, 26, 5, 29)(3, 27, 11, 35, 7, 31)(4, 28, 15, 39, 17, 41)(6, 30, 20, 44, 13, 37)(8, 32, 23, 47, 10, 34)(9, 33, 18, 42, 24, 48)(12, 36, 19, 43, 14, 38)(16, 40, 22, 46, 21, 45)(49, 73, 51, 75, 60, 84, 64, 88, 63, 87, 54, 78)(50, 74, 56, 80, 55, 79, 70, 94, 66, 90, 52, 76)(53, 77, 67, 91, 58, 82, 69, 93, 68, 92, 57, 81)(59, 83, 72, 96, 62, 86, 65, 89, 71, 95, 61, 85)
	L = (1, 52)(2, 57)(3, 61)(4, 64)(5, 54)(6, 69)(7, 49)(8, 65)(9, 70)(10, 50)(11, 56)(12, 53)(13, 63)(14, 51)(15, 62)(16, 55)(17, 66)(18, 59)(19, 72)(20, 71)(21, 60)(22, 58)(23, 67)(24, 68)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 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 = 12 e = 48 f = 12
	degree seq :: [ 6^8, 12^4 ]

E13.215 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 3, 6, 6})
Quotient :: dipole
Aut^+ = SL(2,3) (small group id <24, 3>)
Aut   = GL(2,3) (small group id <48, 29>)
|r| :: 2
Presentation :: [ R^2, Y1^3, Y3 * Y1^-1 * Y2, Y2^-2 * Y3^-1 * Y1^-1, (R * Y1)^2, Y3^4, (R * Y3)^2, Y1 * Y2 * Y3^-1 * Y2 * Y3^-1, (Y3^-1 * Y1^-1)^3 ]
Map:: non-degenerate
	R = (1, 25, 2, 26, 5, 29)(3, 27, 11, 35, 13, 37)(4, 28, 15, 39, 6, 30)(7, 31, 21, 45, 12, 36)(8, 32, 23, 47, 22, 46)(9, 33, 20, 44, 10, 34)(14, 38, 18, 42, 17, 41)(16, 40, 19, 43, 24, 48)(49, 73, 51, 75, 60, 84, 65, 89, 57, 81, 54, 78)(50, 74, 56, 80, 61, 85, 62, 86, 67, 91, 58, 82)(52, 76, 64, 88, 53, 77, 55, 79, 70, 94, 66, 90)(59, 83, 72, 96, 69, 93, 68, 92, 71, 95, 63, 87)
	L = (1, 52)(2, 57)(3, 50)(4, 65)(5, 67)(6, 68)(7, 49)(8, 53)(9, 62)(10, 72)(11, 54)(12, 59)(13, 71)(14, 51)(15, 70)(16, 63)(17, 55)(18, 56)(19, 66)(20, 60)(21, 64)(22, 69)(23, 58)(24, 61)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 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 = 12 e = 48 f = 12
	degree seq :: [ 6^8, 12^4 ]

E13.216 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 3, 6, 6})
Quotient :: dipole
Aut^+ = SL(2,3) (small group id <24, 3>)
Aut   = GL(2,3) (small group id <48, 29>)
|r| :: 2
Presentation :: [ R^2, Y1^3, (R * Y3)^2, Y3 * Y1 * Y2 * Y1^-1, Y2^-2 * Y3^-1 * Y1^-1, (R * Y1)^2, Y2 * Y3^2 * Y1^-1, Y1^-1 * Y2^2 * Y1^-1 * Y2^-1, Y2^-2 * Y1^-1 * Y2^-1 * Y3, Y3 * Y1 * Y3^-1 * Y2^-2, Y3^-1 * Y1 * Y3 * Y1 * Y2^-1, Y3^-1 * Y1 * Y3^-1 * Y2 * Y3^-1, (R * Y2 * Y3^-1)^2 ]
Map:: non-degenerate
	R = (1, 25, 2, 26, 5, 29)(3, 27, 12, 36, 14, 38)(4, 28, 10, 34, 18, 42)(6, 30, 17, 41, 21, 45)(7, 31, 8, 32, 13, 37)(9, 33, 16, 40, 23, 47)(11, 35, 20, 44, 22, 46)(15, 39, 19, 43, 24, 48)(49, 73, 51, 75, 61, 85, 72, 96, 57, 81, 54, 78)(50, 74, 56, 80, 70, 94, 63, 87, 69, 93, 58, 82)(52, 76, 64, 88, 53, 77, 68, 92, 60, 84, 67, 91)(55, 79, 71, 95, 59, 83, 65, 89, 62, 86, 66, 90)
	L = (1, 52)(2, 57)(3, 59)(4, 65)(5, 69)(6, 70)(7, 49)(8, 62)(9, 66)(10, 60)(11, 50)(12, 54)(13, 58)(14, 53)(15, 51)(16, 61)(17, 72)(18, 63)(19, 56)(20, 55)(21, 71)(22, 64)(23, 67)(24, 68)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 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 = 12 e = 48 f = 12
	degree seq :: [ 6^8, 12^4 ]

E13.217 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {3, 3, 6, 6})
Quotient :: edge^2
Aut^+ = C2 x A4 (small group id <24, 13>)
Aut   = C2 x S4 (small group id <48, 48>)
|r| :: 2
Presentation :: [ R^2, Y2^3, Y1^3, Y1^-1 * Y3^-2 * Y2^-1, Y2^-1 * Y3 * Y1 * Y3^-1, (Y3^-1 * Y2^-1)^2, (Y2 * Y1^-1)^2, Y3^2 * Y1 * Y2, (R * Y3)^2, R * Y2 * R * Y1, Y2 * Y3^-1 * Y2 * Y3^-1 * Y1^-1, Y2 * Y1^-1 * Y3 * Y1^-1 * Y3, (Y1^-1 * Y2^-1)^3 ]
Map:: non-degenerate
	R = (1, 25, 4, 28, 16, 40, 24, 48, 8, 32, 7, 31)(2, 26, 9, 33, 12, 36, 18, 42, 19, 43, 11, 35)(3, 27, 13, 37, 5, 29, 20, 44, 23, 47, 14, 38)(6, 30, 17, 41, 10, 34, 22, 46, 21, 45, 15, 39)(49, 50, 53)(51, 60, 58)(52, 61, 65)(54, 67, 64)(55, 70, 57)(56, 71, 69)(59, 63, 68)(62, 72, 66)(73, 75, 78)(74, 80, 82)(76, 87, 90)(77, 91, 93)(79, 83, 85)(81, 89, 86)(84, 95, 88)(92, 94, 96)
	L = (1, 49)(2, 50)(3, 51)(4, 52)(5, 53)(6, 54)(7, 55)(8, 56)(9, 57)(10, 58)(11, 59)(12, 60)(13, 61)(14, 62)(15, 63)(16, 64)(17, 65)(18, 66)(19, 67)(20, 68)(21, 69)(22, 70)(23, 71)(24, 72)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 24^3 ), ( 24^12 ) }
Outer automorphisms :: reflexible
Dual of E13.219
Graph:: simple bipartite
	v = 20 e = 48 f = 4
	degree seq :: [ 3^16, 12^4 ]

E13.218 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {3, 3, 6, 6})
Quotient :: edge^2
Aut^+ = C2 x A4 (small group id <24, 13>)
Aut   = C2 x S4 (small group id <48, 48>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1 * Y1, Y3^3, Y1^-1 * Y3^-1 * Y2 * Y3, (Y1 * Y2^-1)^2, Y2^-1 * Y3 * Y1 * Y3^-1, (R * Y3)^2, R * Y1 * R * Y2, (Y1 * Y3)^2, Y3^-1 * Y1^-2 * Y2^-2, Y1 * Y3^-1 * Y2^-2 * Y3^-1 * Y2^-1, Y2^6, Y1^6 ]
Map:: non-degenerate
	R = (1, 25, 4, 28, 7, 31)(2, 26, 9, 33, 11, 35)(3, 27, 14, 38, 5, 29)(6, 30, 16, 40, 15, 39)(8, 32, 20, 44, 22, 46)(10, 34, 13, 37, 19, 43)(12, 36, 18, 42, 17, 41)(21, 45, 23, 47, 24, 48)(49, 50, 56, 69, 66, 53)(51, 60, 63, 68, 59, 58)(52, 62, 67, 71, 70, 64)(54, 65, 72, 61, 57, 55)(73, 75, 85, 93, 92, 78)(74, 76, 87, 90, 95, 82)(77, 89, 88, 80, 81, 91)(79, 83, 94, 96, 84, 86)
	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) :: { ( 12^6 ) }
Outer automorphisms :: reflexible
Dual of E13.220
Graph:: simple bipartite
	v = 16 e = 48 f = 8
	degree seq :: [ 6^16 ]

E13.219 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {3, 3, 6, 6})
Quotient :: loop^2
Aut^+ = C2 x A4 (small group id <24, 13>)
Aut   = C2 x S4 (small group id <48, 48>)
|r| :: 2
Presentation :: [ R^2, Y2^3, Y1^3, Y1^-1 * Y3^-2 * Y2^-1, Y2^-1 * Y3 * Y1 * Y3^-1, (Y3^-1 * Y2^-1)^2, (Y2 * Y1^-1)^2, Y3^2 * Y1 * Y2, (R * Y3)^2, R * Y2 * R * Y1, Y2 * Y3^-1 * Y2 * Y3^-1 * Y1^-1, Y2 * Y1^-1 * Y3 * Y1^-1 * Y3, (Y1^-1 * Y2^-1)^3 ]
Map:: non-degenerate
	R = (1, 25, 49, 73, 4, 28, 52, 76, 16, 40, 64, 88, 24, 48, 72, 96, 8, 32, 56, 80, 7, 31, 55, 79)(2, 26, 50, 74, 9, 33, 57, 81, 12, 36, 60, 84, 18, 42, 66, 90, 19, 43, 67, 91, 11, 35, 59, 83)(3, 27, 51, 75, 13, 37, 61, 85, 5, 29, 53, 77, 20, 44, 68, 92, 23, 47, 71, 95, 14, 38, 62, 86)(6, 30, 54, 78, 17, 41, 65, 89, 10, 34, 58, 82, 22, 46, 70, 94, 21, 45, 69, 93, 15, 39, 63, 87)
	L = (1, 26)(2, 29)(3, 36)(4, 37)(5, 25)(6, 43)(7, 46)(8, 47)(9, 31)(10, 27)(11, 39)(12, 34)(13, 41)(14, 48)(15, 44)(16, 30)(17, 28)(18, 38)(19, 40)(20, 35)(21, 32)(22, 33)(23, 45)(24, 42)(49, 75)(50, 80)(51, 78)(52, 87)(53, 91)(54, 73)(55, 83)(56, 82)(57, 89)(58, 74)(59, 85)(60, 95)(61, 79)(62, 81)(63, 90)(64, 84)(65, 86)(66, 76)(67, 93)(68, 94)(69, 77)(70, 96)(71, 88)(72, 92)
	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 E13.217
Transitivity :: VT+
Graph::
	v = 4 e = 48 f = 20
	degree seq :: [ 24^4 ]

E13.220 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {3, 3, 6, 6})
Quotient :: loop^2
Aut^+ = C2 x A4 (small group id <24, 13>)
Aut   = C2 x S4 (small group id <48, 48>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1 * Y1, Y3^3, Y1^-1 * Y3^-1 * Y2 * Y3, (Y1 * Y2^-1)^2, Y2^-1 * Y3 * Y1 * Y3^-1, (R * Y3)^2, R * Y1 * R * Y2, (Y1 * Y3)^2, Y3^-1 * Y1^-2 * Y2^-2, Y1 * Y3^-1 * Y2^-2 * Y3^-1 * Y2^-1, Y2^6, Y1^6 ]
Map:: non-degenerate
	R = (1, 25, 49, 73, 4, 28, 52, 76, 7, 31, 55, 79)(2, 26, 50, 74, 9, 33, 57, 81, 11, 35, 59, 83)(3, 27, 51, 75, 14, 38, 62, 86, 5, 29, 53, 77)(6, 30, 54, 78, 16, 40, 64, 88, 15, 39, 63, 87)(8, 32, 56, 80, 20, 44, 68, 92, 22, 46, 70, 94)(10, 34, 58, 82, 13, 37, 61, 85, 19, 43, 67, 91)(12, 36, 60, 84, 18, 42, 66, 90, 17, 41, 65, 89)(21, 45, 69, 93, 23, 47, 71, 95, 24, 48, 72, 96)
	L = (1, 26)(2, 32)(3, 36)(4, 38)(5, 25)(6, 41)(7, 30)(8, 45)(9, 31)(10, 27)(11, 34)(12, 39)(13, 33)(14, 43)(15, 44)(16, 28)(17, 48)(18, 29)(19, 47)(20, 35)(21, 42)(22, 40)(23, 46)(24, 37)(49, 75)(50, 76)(51, 85)(52, 87)(53, 89)(54, 73)(55, 83)(56, 81)(57, 91)(58, 74)(59, 94)(60, 86)(61, 93)(62, 79)(63, 90)(64, 80)(65, 88)(66, 95)(67, 77)(68, 78)(69, 92)(70, 96)(71, 82)(72, 84)
	local type(s) :: { ( 6^12 ) }
Outer automorphisms :: reflexible
Dual of E13.218
Transitivity :: VT+
Graph:: bipartite
	v = 8 e = 48 f = 16
	degree seq :: [ 12^8 ]

E13.221 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 3, 6, 6})
Quotient :: dipole
Aut^+ = C2 x A4 (small group id <24, 13>)
Aut   = C2 x S4 (small group id <48, 48>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2^3, Y1^3, (R * Y3)^2, (R * Y1)^2, (Y2^-1 * Y1^-1)^2, Y1^-1 * Y2 * R * Y2^-1 * R, Y1 * Y3 * Y2^-1 * Y3 * Y2^-1, Y1 * Y2^-1 * Y3 * Y1 * Y3, (Y3 * Y2^-1 * Y1^-1)^2, (Y2 * Y1^-1)^3 ]
Map:: non-degenerate
	R = (1, 25, 2, 26, 5, 29)(3, 27, 10, 34, 12, 36)(4, 28, 13, 37, 15, 39)(6, 30, 19, 43, 7, 31)(8, 32, 14, 38, 23, 47)(9, 33, 24, 48, 17, 41)(11, 35, 21, 45, 16, 40)(18, 42, 22, 46, 20, 44)(49, 73, 51, 75, 54, 78)(50, 74, 55, 79, 57, 81)(52, 76, 62, 86, 64, 88)(53, 77, 65, 89, 58, 82)(56, 80, 70, 94, 59, 83)(60, 84, 72, 96, 67, 91)(61, 85, 69, 93, 66, 90)(63, 87, 68, 92, 71, 95)
	L = (1, 52)(2, 56)(3, 59)(4, 49)(5, 66)(6, 68)(7, 69)(8, 50)(9, 63)(10, 71)(11, 51)(12, 61)(13, 60)(14, 67)(15, 57)(16, 65)(17, 64)(18, 53)(19, 62)(20, 54)(21, 55)(22, 72)(23, 58)(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) :: { ( 12^6 ) }
Outer automorphisms :: reflexible
Dual of E13.231
Graph:: simple bipartite
	v = 16 e = 48 f = 8
	degree seq :: [ 6^16 ]

E13.222 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 3, 6, 6})
Quotient :: dipole
Aut^+ = C2 x A4 (small group id <24, 13>)
Aut   = C2 x S4 (small group id <48, 48>)
|r| :: 2
Presentation :: [ Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, R^2, Y1^3, (Y1 * Y2^-1)^2, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, Y2^6, (Y2^-2 * Y1^-1)^2, (Y3^-1 * Y1^-1)^3, (Y3 * Y2^-1)^6 ]
Map::
	R = (1, 25, 2, 26, 4, 28)(3, 27, 8, 32, 7, 31)(5, 29, 10, 34, 12, 36)(6, 30, 14, 38, 11, 35)(9, 33, 19, 43, 18, 42)(13, 37, 22, 46, 15, 39)(16, 40, 17, 41, 21, 45)(20, 44, 23, 47, 24, 48)(49, 73, 51, 75, 57, 81, 68, 92, 61, 85, 53, 77)(50, 74, 54, 78, 63, 87, 71, 95, 64, 88, 55, 79)(52, 76, 58, 82, 69, 93, 72, 96, 67, 91, 59, 83)(56, 80, 65, 89, 60, 84, 70, 94, 62, 86, 66, 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) :: { ( 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 = 12 e = 48 f = 12
	degree seq :: [ 6^8, 12^4 ]

E13.223 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 3, 6, 6})
Quotient :: dipole
Aut^+ = C2 x A4 (small group id <24, 13>)
Aut   = C2 x S4 (small group id <48, 48>)
|r| :: 2
Presentation :: [ Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, R^2, Y1^3, (Y2 * Y1)^2, (Y2^-1 * Y1^-1)^2, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, (Y2^-1 * Y1 * Y2^-1)^2, (Y3^-1 * Y1^-1)^3, Y2^6, (Y3 * Y2^-1)^6 ]
Map::
	R = (1, 25, 2, 26, 4, 28)(3, 27, 8, 32, 10, 34)(5, 29, 12, 36, 6, 30)(7, 31, 15, 39, 11, 35)(9, 33, 18, 42, 16, 40)(13, 37, 21, 45, 22, 46)(14, 38, 20, 44, 17, 41)(19, 43, 23, 47, 24, 48)(49, 73, 51, 75, 57, 81, 67, 91, 61, 85, 53, 77)(50, 74, 54, 78, 62, 86, 71, 95, 64, 88, 55, 79)(52, 76, 59, 83, 69, 93, 72, 96, 65, 89, 56, 80)(58, 82, 68, 92, 60, 84, 70, 94, 63, 87, 66, 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) :: { ( 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 = 12 e = 48 f = 12
	degree seq :: [ 6^8, 12^4 ]

E13.224 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 3, 6, 6})
Quotient :: dipole
Aut^+ = C2 x A4 (small group id <24, 13>)
Aut   = C2 x S4 (small group id <48, 48>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y1^3, Y3 * Y1^-1 * Y2^-2, (R * Y1)^2, (R * Y3)^2, (Y2 * Y1^-1)^2, Y1 * Y2 * R * Y2^-1 * R, Y1 * Y2 * Y1^-1 * Y2^-1 * Y3, Y2^6, (Y3 * Y1^-1)^3 ]
Map:: non-degenerate
	R = (1, 25, 2, 26, 5, 29)(3, 27, 10, 34, 9, 33)(4, 28, 13, 37, 11, 35)(6, 30, 16, 40, 18, 42)(7, 31, 19, 43, 14, 38)(8, 32, 21, 45, 20, 44)(12, 36, 15, 39, 22, 46)(17, 41, 23, 47, 24, 48)(49, 73, 51, 75, 59, 83, 70, 94, 56, 80, 54, 78)(50, 74, 55, 79, 68, 92, 60, 84, 65, 89, 57, 81)(52, 76, 62, 86, 53, 77, 64, 88, 72, 96, 63, 87)(58, 82, 71, 95, 66, 90, 69, 93, 67, 91, 61, 85)
	L = (1, 52)(2, 56)(3, 60)(4, 49)(5, 65)(6, 58)(7, 63)(8, 50)(9, 67)(10, 54)(11, 69)(12, 51)(13, 72)(14, 66)(15, 55)(16, 70)(17, 53)(18, 62)(19, 57)(20, 71)(21, 59)(22, 64)(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) :: { ( 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 = 12 e = 48 f = 12
	degree seq :: [ 6^8, 12^4 ]

E13.225 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 3, 6, 6})
Quotient :: dipole
Aut^+ = C2 x A4 (small group id <24, 13>)
Aut   = C2 x S4 (small group id <48, 48>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y1^3, Y2^2 * Y1^-1 * Y3, (R * Y1)^2, (R * Y3)^2, (Y2^-1 * Y1^-1)^2, Y3 * Y2^-1 * Y3 * Y2^-1 * Y1, Y3 * Y1^-1 * Y2 * Y1 * Y2^-1, Y1^-1 * Y2 * R * Y2^-1 * R, Y3 * Y2^-2 * Y1^-1 * Y3 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 25, 2, 26, 5, 29)(3, 27, 10, 34, 13, 37)(4, 28, 11, 35, 14, 38)(6, 30, 18, 42, 7, 31)(8, 32, 19, 43, 21, 45)(9, 33, 22, 46, 16, 40)(12, 36, 20, 44, 15, 39)(17, 41, 24, 48, 23, 47)(49, 73, 51, 75, 59, 83, 68, 92, 65, 89, 54, 78)(50, 74, 55, 79, 67, 91, 63, 87, 52, 76, 57, 81)(53, 77, 64, 88, 72, 96, 60, 84, 56, 80, 58, 82)(61, 85, 69, 93, 66, 90, 71, 95, 70, 94, 62, 86)
	L = (1, 52)(2, 56)(3, 60)(4, 49)(5, 65)(6, 61)(7, 68)(8, 50)(9, 66)(10, 70)(11, 71)(12, 51)(13, 54)(14, 67)(15, 64)(16, 63)(17, 53)(18, 57)(19, 62)(20, 55)(21, 72)(22, 58)(23, 59)(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) :: { ( 6, 12, 6, 12, 6, 12 ), ( 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12 ) }
Outer automorphisms :: reflexible
Dual of E13.227
Graph:: bipartite
	v = 12 e = 48 f = 12
	degree seq :: [ 6^8, 12^4 ]

E13.226 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 3, 6, 6})
Quotient :: dipole
Aut^+ = C2 x A4 (small group id <24, 13>)
Aut   = C2 x S4 (small group id <48, 48>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y1^3, (Y2 * Y1^-1)^2, Y3 * Y2^-2 * Y1^-1, (R * Y3)^2, (R * Y1)^2, Y1 * Y3 * Y2^-1 * Y1^-1 * Y2, R * Y2 * Y1 * R * Y2^-1, Y1^-1 * Y3 * Y2^4 ]
Map:: non-degenerate
	R = (1, 25, 2, 26, 5, 29)(3, 27, 10, 34, 9, 33)(4, 28, 13, 37, 15, 39)(6, 30, 16, 40, 12, 36)(7, 31, 19, 43, 17, 41)(8, 32, 20, 44, 21, 45)(11, 35, 24, 48, 23, 47)(14, 38, 18, 42, 22, 46)(49, 73, 51, 75, 59, 83, 70, 94, 61, 85, 54, 78)(50, 74, 55, 79, 52, 76, 62, 86, 68, 92, 57, 81)(53, 77, 64, 88, 56, 80, 66, 90, 72, 96, 65, 89)(58, 82, 69, 93, 60, 84, 63, 87, 67, 91, 71, 95)
	L = (1, 52)(2, 56)(3, 60)(4, 49)(5, 59)(6, 66)(7, 58)(8, 50)(9, 70)(10, 55)(11, 53)(12, 51)(13, 71)(14, 65)(15, 68)(16, 67)(17, 62)(18, 54)(19, 64)(20, 63)(21, 72)(22, 57)(23, 61)(24, 69)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 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 = 12 e = 48 f = 12
	degree seq :: [ 6^8, 12^4 ]

E13.227 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 3, 6, 6})
Quotient :: dipole
Aut^+ = C2 x A4 (small group id <24, 13>)
Aut   = C2 x S4 (small group id <48, 48>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y1^3, Y1^3, (R * Y1)^2, (R * Y3)^2, Y2^2 * Y3 * Y1^-1, (Y1^-1 * Y2^-1)^2, R * Y2 * Y1^-1 * R * Y2^-1, Y2^-1 * Y1 * Y2 * Y1^-1 * Y3, (Y1 * Y3)^3, Y2^6 ]
Map:: non-degenerate
	R = (1, 25, 2, 26, 5, 29)(3, 27, 10, 34, 12, 36)(4, 28, 13, 37, 15, 39)(6, 30, 11, 35, 7, 31)(8, 32, 20, 44, 22, 46)(9, 33, 19, 43, 16, 40)(14, 38, 21, 45, 18, 42)(17, 41, 24, 48, 23, 47)(49, 73, 51, 75, 56, 80, 69, 93, 63, 87, 54, 78)(50, 74, 55, 79, 65, 89, 66, 90, 70, 94, 57, 81)(52, 76, 62, 86, 71, 95, 58, 82, 53, 77, 64, 88)(59, 83, 61, 85, 67, 91, 68, 92, 60, 84, 72, 96)
	L = (1, 52)(2, 56)(3, 59)(4, 49)(5, 65)(6, 66)(7, 67)(8, 50)(9, 62)(10, 69)(11, 51)(12, 64)(13, 71)(14, 57)(15, 68)(16, 60)(17, 53)(18, 54)(19, 55)(20, 63)(21, 58)(22, 72)(23, 61)(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) :: { ( 6, 12, 6, 12, 6, 12 ), ( 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12 ) }
Outer automorphisms :: reflexible
Dual of E13.225
Graph:: bipartite
	v = 12 e = 48 f = 12
	degree seq :: [ 6^8, 12^4 ]

E13.228 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 3, 6, 6})
Quotient :: dipole
Aut^+ = C2 x A4 (small group id <24, 13>)
Aut   = C2 x S4 (small group id <48, 48>)
|r| :: 2
Presentation :: [ R^2, Y1^3, Y2 * Y3^-1 * Y2, Y3^3, (Y2^-1 * Y1^-1)^2, (Y3 * Y1^-1)^2, (R * Y2)^2, (R * Y3)^2, (R * Y1)^2, Y3 * Y2 * Y1 * Y3 * Y2 * Y1^-1, Y2 * Y1^-1 * Y2 * Y1^-1 * Y3^-1 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 25, 2, 26, 5, 29)(3, 27, 12, 36, 14, 38)(4, 28, 15, 39, 11, 35)(6, 30, 19, 43, 8, 32)(7, 31, 17, 41, 20, 44)(9, 33, 22, 46, 18, 42)(10, 34, 23, 47, 16, 40)(13, 37, 21, 45, 24, 48)(49, 73, 51, 75, 52, 76, 61, 85, 55, 79, 54, 78)(50, 74, 56, 80, 57, 81, 69, 93, 59, 83, 58, 82)(53, 77, 64, 88, 65, 89, 72, 96, 66, 90, 60, 84)(62, 86, 70, 94, 67, 91, 68, 92, 71, 95, 63, 87)
	L = (1, 52)(2, 57)(3, 61)(4, 55)(5, 65)(6, 51)(7, 49)(8, 69)(9, 59)(10, 56)(11, 50)(12, 64)(13, 54)(14, 67)(15, 70)(16, 72)(17, 66)(18, 53)(19, 71)(20, 63)(21, 58)(22, 68)(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) :: { ( 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 = 12 e = 48 f = 12
	degree seq :: [ 6^8, 12^4 ]

E13.229 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 3, 6, 6})
Quotient :: dipole
Aut^+ = C2 x A4 (small group id <24, 13>)
Aut   = C2 x S4 (small group id <48, 48>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1, Y1^3, (Y2 * Y1)^2, (Y2^-1 * Y1^-1)^2, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, (Y2^2 * Y1^-1)^2, Y2^6, (Y3^-1 * Y1^-1)^3, (Y3 * Y2^-1)^6 ]
Map:: non-degenerate
	R = (1, 25, 2, 26, 4, 28)(3, 27, 8, 32, 10, 34)(5, 29, 12, 36, 6, 30)(7, 31, 15, 39, 11, 35)(9, 33, 18, 42, 16, 40)(13, 37, 21, 45, 22, 46)(14, 38, 20, 44, 17, 41)(19, 43, 23, 47, 24, 48)(49, 73, 51, 75, 57, 81, 67, 91, 61, 85, 53, 77)(50, 74, 54, 78, 62, 86, 71, 95, 64, 88, 55, 79)(52, 76, 59, 83, 69, 93, 72, 96, 65, 89, 56, 80)(58, 82, 68, 92, 60, 84, 70, 94, 63, 87, 66, 90)
	L = (1, 50)(2, 52)(3, 56)(4, 49)(5, 60)(6, 53)(7, 63)(8, 58)(9, 66)(10, 51)(11, 55)(12, 54)(13, 69)(14, 68)(15, 59)(16, 57)(17, 62)(18, 64)(19, 71)(20, 65)(21, 70)(22, 61)(23, 72)(24, 67)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 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 = 12 e = 48 f = 12
	degree seq :: [ 6^8, 12^4 ]

E13.230 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 3, 6, 6})
Quotient :: dipole
Aut^+ = C2 x A4 (small group id <24, 13>)
Aut   = C2 x S4 (small group id <48, 48>)
|r| :: 2
Presentation :: [ R^2, Y1^3, Y3^3, Y2^2 * Y1 * Y3, Y2^-1 * Y3 * Y2 * Y1^-1, (Y1^-1 * Y2^-1)^2, (R * Y3)^2, (R * Y1)^2, (Y3 * Y1^-1)^2, Y2^-1 * Y1^-1 * Y3^-1 * Y2 * Y3^-1, Y2 * Y1^-1 * R * Y2^-1 * R, Y2^-1 * Y1^-1 * Y3 * Y1 * Y2^-1, Y3 * Y1^-1 * Y2 * Y1^-1 * Y2, Y3^-1 * Y1^-1 * Y2^4 ]
Map:: non-degenerate
	R = (1, 25, 2, 26, 5, 29)(3, 27, 12, 36, 15, 39)(4, 28, 17, 41, 11, 35)(6, 30, 22, 46, 8, 32)(7, 31, 20, 44, 13, 37)(9, 33, 23, 47, 21, 45)(10, 34, 14, 38, 19, 43)(16, 40, 18, 42, 24, 48)(49, 73, 51, 75, 61, 85, 72, 96, 57, 81, 54, 78)(50, 74, 56, 80, 65, 89, 64, 88, 68, 92, 58, 82)(52, 76, 60, 84, 53, 77, 67, 91, 71, 95, 66, 90)(55, 79, 63, 87, 59, 83, 70, 94, 69, 93, 62, 86)
	L = (1, 52)(2, 57)(3, 62)(4, 55)(5, 68)(6, 58)(7, 49)(8, 63)(9, 59)(10, 60)(11, 50)(12, 54)(13, 65)(14, 64)(15, 66)(16, 51)(17, 71)(18, 56)(19, 70)(20, 69)(21, 53)(22, 72)(23, 61)(24, 67)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 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 = 12 e = 48 f = 12
	degree seq :: [ 6^8, 12^4 ]

E13.231 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 3, 6, 6})
Quotient :: dipole
Aut^+ = C2 x A4 (small group id <24, 13>)
Aut   = C2 x S4 (small group id <48, 48>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2 * Y3 * Y1^-2, (R * Y3)^2, (Y1^-1 * Y2^-1)^2, Y3 * Y1 * Y2^-2, (R * Y1)^2, (R * Y2 * Y3)^2, Y1^-2 * Y3 * Y2^-1 * Y3 * Y2^-1, Y2^-1 * Y1^-1 * Y2^3 * Y3, (Y2^-1 * Y1)^3 ]
Map:: non-degenerate
	R = (1, 25, 2, 26, 7, 31, 17, 41, 15, 39, 5, 29)(3, 27, 11, 35, 23, 47, 16, 40, 19, 43, 13, 37)(4, 28, 12, 36, 21, 45, 8, 32, 6, 30, 14, 38)(9, 33, 20, 44, 24, 48, 18, 42, 10, 34, 22, 46)(49, 73, 51, 75, 60, 84, 65, 89, 64, 88, 54, 78)(50, 74, 56, 80, 68, 92, 63, 87, 52, 76, 58, 82)(53, 77, 57, 81, 67, 91, 55, 79, 66, 90, 59, 83)(61, 85, 70, 94, 62, 86, 71, 95, 72, 96, 69, 93)
	L = (1, 52)(2, 57)(3, 55)(4, 49)(5, 64)(6, 61)(7, 51)(8, 65)(9, 50)(10, 69)(11, 70)(12, 71)(13, 54)(14, 68)(15, 66)(16, 53)(17, 56)(18, 63)(19, 72)(20, 62)(21, 58)(22, 59)(23, 60)(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) :: { ( 6^12 ) }
Outer automorphisms :: reflexible
Dual of E13.221
Graph:: bipartite
	v = 8 e = 48 f = 16
	degree seq :: [ 12^8 ]

E13.232 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 6, 6, 6})
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, R * Y1 * R * Y2, Y2^-1 * Y3^2 * Y1^-1, (R * Y3)^2, Y1^-1 * Y3^-1 * Y1^-1 * Y2^-1 * Y3^-1 * Y2^-1, (Y2 * Y1)^3, Y2^6, Y1^6, Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y1 * Y3^-1 * Y1^-1, Y3 * Y1 * Y3 * Y2^-1 * Y3 * Y2 * Y3 * Y2 ]
Map:: non-degenerate
	R = (1, 25, 3, 27, 6, 30, 15, 39, 11, 35, 5, 29)(2, 26, 7, 31, 14, 38, 12, 36, 4, 28, 8, 32)(9, 33, 19, 43, 13, 37, 21, 45, 10, 34, 20, 44)(16, 40, 22, 46, 18, 42, 24, 48, 17, 41, 23, 47)(49, 50, 54, 62, 59, 52)(51, 57, 63, 61, 53, 58)(55, 64, 60, 66, 56, 65)(67, 70, 69, 72, 68, 71)(73, 74, 78, 86, 83, 76)(75, 81, 87, 85, 77, 82)(79, 88, 84, 90, 80, 89)(91, 94, 93, 96, 92, 95)
	L = (1, 49)(2, 50)(3, 51)(4, 52)(5, 53)(6, 54)(7, 55)(8, 56)(9, 57)(10, 58)(11, 59)(12, 60)(13, 61)(14, 62)(15, 63)(16, 64)(17, 65)(18, 66)(19, 67)(20, 68)(21, 69)(22, 70)(23, 71)(24, 72)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 8^6 ), ( 8^12 ) }
Outer automorphisms :: reflexible
Dual of E13.235
Graph:: bipartite
	v = 12 e = 48 f = 12
	degree seq :: [ 6^8, 12^4 ]

E13.233 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 6, 6, 6})
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, Y3^2, Y2 * Y1^-1, R * Y2 * R * Y1, (R * Y3)^2, Y1^-2 * Y3 * Y1^2 * Y3, Y2^6, Y1^6, (Y3 * Y1^-1 * Y3 * Y1)^2, (Y1^-1 * Y3 * Y2^-1)^6 ]
Map:: non-degenerate
	R = (1, 25, 3, 27)(2, 26, 6, 30)(4, 28, 9, 33)(5, 29, 12, 36)(7, 31, 15, 39)(8, 32, 16, 40)(10, 34, 17, 41)(11, 35, 19, 43)(13, 37, 21, 45)(14, 38, 22, 46)(18, 42, 23, 47)(20, 44, 24, 48)(49, 50, 53, 59, 58, 52)(51, 55, 60, 68, 65, 56)(54, 61, 67, 66, 57, 62)(63, 69, 72, 71, 64, 70)(73, 74, 77, 83, 82, 76)(75, 79, 84, 92, 89, 80)(78, 85, 91, 90, 81, 86)(87, 93, 96, 95, 88, 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) :: { ( 24^4 ), ( 24^6 ) }
Outer automorphisms :: reflexible
Dual of E13.234
Graph:: simple bipartite
	v = 20 e = 48 f = 4
	degree seq :: [ 4^12, 6^8 ]

E13.234 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 6, 6, 6})
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, R * Y1 * R * Y2, Y2^-1 * Y3^2 * Y1^-1, (R * Y3)^2, Y1^-1 * Y3^-1 * Y1^-1 * Y2^-1 * Y3^-1 * Y2^-1, (Y2 * Y1)^3, Y2^6, Y1^6, Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y1 * Y3^-1 * Y1^-1, Y3 * Y1 * Y3 * Y2^-1 * Y3 * Y2 * Y3 * Y2 ]
Map:: non-degenerate
	R = (1, 25, 49, 73, 3, 27, 51, 75, 6, 30, 54, 78, 15, 39, 63, 87, 11, 35, 59, 83, 5, 29, 53, 77)(2, 26, 50, 74, 7, 31, 55, 79, 14, 38, 62, 86, 12, 36, 60, 84, 4, 28, 52, 76, 8, 32, 56, 80)(9, 33, 57, 81, 19, 43, 67, 91, 13, 37, 61, 85, 21, 45, 69, 93, 10, 34, 58, 82, 20, 44, 68, 92)(16, 40, 64, 88, 22, 46, 70, 94, 18, 42, 66, 90, 24, 48, 72, 96, 17, 41, 65, 89, 23, 47, 71, 95)
	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, 35)(15, 37)(16, 36)(17, 31)(18, 32)(19, 46)(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, 83)(63, 85)(64, 84)(65, 79)(66, 80)(67, 94)(68, 95)(69, 96)(70, 93)(71, 91)(72, 92)
	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 E13.233
Transitivity :: VT+
Graph:: bipartite
	v = 4 e = 48 f = 20
	degree seq :: [ 24^4 ]

E13.235 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 6, 6, 6})
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, Y3^2, Y2 * Y1^-1, R * Y2 * R * Y1, (R * Y3)^2, Y1^-2 * Y3 * Y1^2 * Y3, Y2^6, Y1^6, (Y3 * Y1^-1 * Y3 * Y1)^2, (Y1^-1 * Y3 * Y2^-1)^6 ]
Map:: non-degenerate
	R = (1, 25, 49, 73, 3, 27, 51, 75)(2, 26, 50, 74, 6, 30, 54, 78)(4, 28, 52, 76, 9, 33, 57, 81)(5, 29, 53, 77, 12, 36, 60, 84)(7, 31, 55, 79, 15, 39, 63, 87)(8, 32, 56, 80, 16, 40, 64, 88)(10, 34, 58, 82, 17, 41, 65, 89)(11, 35, 59, 83, 19, 43, 67, 91)(13, 37, 61, 85, 21, 45, 69, 93)(14, 38, 62, 86, 22, 46, 70, 94)(18, 42, 66, 90, 23, 47, 71, 95)(20, 44, 68, 92, 24, 48, 72, 96)
	L = (1, 26)(2, 29)(3, 31)(4, 25)(5, 35)(6, 37)(7, 36)(8, 27)(9, 38)(10, 28)(11, 34)(12, 44)(13, 43)(14, 30)(15, 45)(16, 46)(17, 32)(18, 33)(19, 42)(20, 41)(21, 48)(22, 39)(23, 40)(24, 47)(49, 74)(50, 77)(51, 79)(52, 73)(53, 83)(54, 85)(55, 84)(56, 75)(57, 86)(58, 76)(59, 82)(60, 92)(61, 91)(62, 78)(63, 93)(64, 94)(65, 80)(66, 81)(67, 90)(68, 89)(69, 96)(70, 87)(71, 88)(72, 95)
	local type(s) :: { ( 6, 12, 6, 12, 6, 12, 6, 12 ) }
Outer automorphisms :: reflexible
Dual of E13.232
Transitivity :: VT+
Graph:: bipartite
	v = 12 e = 48 f = 12
	degree seq :: [ 8^12 ]

E13.236 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 6, 6})
Quotient :: dipole
Aut^+ = C3 x D8 (small group id <24, 10>)
Aut   = D8 x S3 (small group id <48, 38>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2 * Y3^-1 * Y2, Y3^3, (Y2 * Y3)^2, Y1 * Y3^-1 * Y1 * Y3, (R * Y3)^2, (R * Y2)^2, (R * Y1)^2, Y2 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 ]
Map:: non-degenerate
	R = (1, 25, 2, 26)(3, 27, 11, 35)(4, 28, 8, 32)(5, 29, 13, 37)(6, 30, 10, 34)(7, 31, 14, 38)(9, 33, 16, 40)(12, 36, 18, 42)(15, 39, 22, 46)(17, 41, 21, 45)(19, 43, 23, 47)(20, 44, 24, 48)(49, 73, 51, 75, 52, 76, 60, 84, 54, 78, 53, 77)(50, 74, 55, 79, 56, 80, 63, 87, 58, 82, 57, 81)(59, 83, 65, 89, 66, 90, 68, 92, 61, 85, 67, 91)(62, 86, 69, 93, 70, 94, 72, 96, 64, 88, 71, 95)
	L = (1, 52)(2, 56)(3, 60)(4, 54)(5, 51)(6, 49)(7, 63)(8, 58)(9, 55)(10, 50)(11, 66)(12, 53)(13, 59)(14, 70)(15, 57)(16, 62)(17, 68)(18, 61)(19, 65)(20, 67)(21, 72)(22, 64)(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) :: { ( 12^4 ), ( 12^12 ) }
Outer automorphisms :: reflexible
Dual of E13.238
Graph:: bipartite
	v = 16 e = 48 f = 8
	degree seq :: [ 4^12, 12^4 ]

E13.237 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 6, 6})
Quotient :: dipole
Aut^+ = C3 x D8 (small group id <24, 10>)
Aut   = D8 x S3 (small group id <48, 38>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (Y3^-1 * Y2^-1)^2, (Y2^-1 * R)^2, Y2^2 * Y3^2, Y3 * Y1 * Y3^-1 * Y1, (R * Y3)^2, (R * Y1)^2, Y3 * Y1 * Y2^-1 * Y1 * Y2^-1, Y3^-2 * Y2^4, Y1 * Y3^-2 * Y1 * Y2^-2, (Y3 * Y2^-1)^6 ]
Map:: non-degenerate
	R = (1, 25, 2, 26)(3, 27, 11, 35)(4, 28, 8, 32)(5, 29, 17, 41)(6, 30, 10, 34)(7, 31, 16, 40)(9, 33, 14, 38)(12, 36, 18, 42)(13, 37, 21, 45)(15, 39, 20, 44)(19, 43, 23, 47)(22, 46, 24, 48)(49, 73, 51, 75, 60, 84, 71, 95, 63, 87, 53, 77)(50, 74, 55, 79, 66, 90, 69, 93, 68, 92, 57, 81)(52, 76, 61, 85, 54, 78, 62, 86, 72, 96, 64, 88)(56, 80, 67, 91, 58, 82, 65, 89, 70, 94, 59, 83)
	L = (1, 52)(2, 56)(3, 61)(4, 63)(5, 64)(6, 49)(7, 67)(8, 68)(9, 59)(10, 50)(11, 69)(12, 54)(13, 53)(14, 51)(15, 72)(16, 71)(17, 55)(18, 58)(19, 57)(20, 70)(21, 65)(22, 66)(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) :: { ( 12^4 ), ( 12^12 ) }
Outer automorphisms :: reflexible
Dual of E13.239
Graph:: simple bipartite
	v = 16 e = 48 f = 8
	degree seq :: [ 4^12, 12^4 ]

E13.238 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 6, 6})
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, Y2^2 * Y3^-1, Y1^2 * Y3^-1, (R * Y1)^2, (R * Y3)^2, (R * Y2)^2, (Y2 * Y3)^2, (Y3^-1 * Y1^-1)^2, Y2 * Y3 * Y2 * Y1^-1 * Y3^-1 * Y1^-1, (Y2^-1, Y1^-1)^2 ]
Map:: non-degenerate
	R = (1, 25, 2, 26, 4, 28, 9, 33, 7, 31, 5, 29)(3, 27, 11, 35, 12, 36, 15, 39, 6, 30, 13, 37)(8, 32, 16, 40, 14, 38, 18, 42, 10, 34, 17, 41)(19, 43, 22, 46, 21, 45, 24, 48, 20, 44, 23, 47)(49, 73, 51, 75, 52, 76, 60, 84, 55, 79, 54, 78)(50, 74, 56, 80, 57, 81, 62, 86, 53, 77, 58, 82)(59, 83, 67, 91, 63, 87, 69, 93, 61, 85, 68, 92)(64, 88, 70, 94, 66, 90, 72, 96, 65, 89, 71, 95)
	L = (1, 52)(2, 57)(3, 60)(4, 55)(5, 50)(6, 51)(7, 49)(8, 62)(9, 53)(10, 56)(11, 63)(12, 54)(13, 59)(14, 58)(15, 61)(16, 66)(17, 64)(18, 65)(19, 69)(20, 67)(21, 68)(22, 72)(23, 70)(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) :: { ( 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E13.236
Graph:: bipartite
	v = 8 e = 48 f = 16
	degree seq :: [ 12^8 ]

E13.239 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 6, 6})
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^-1, Y2^-1), Y2^-1 * Y3^-2 * Y2^-1, (Y1^-1 * Y3^-1)^2, Y3^-2 * Y1^-2, (R * Y1)^2, (R * Y3)^2, (R * Y2)^2, (Y3^-1, Y1^-1), (Y3^-1 * Y2^-1)^2, Y1 * Y2 * Y3^-1 * Y1 * Y2^-1, Y1 * Y2^-1 * Y3 * Y1^-1 * Y2^-1, Y3^-1 * Y1 * Y2 * Y1 * Y2^-1, Y3 * Y1 * Y2^-1 * Y1^-1 * Y2^-1, Y3 * Y2^-1 * Y3 * Y2^-1 * Y3^2, Y3^-2 * Y1^4, Y3^-2 * Y2^4 ]
Map:: non-degenerate
	R = (1, 25, 2, 26, 8, 32, 22, 46, 17, 41, 5, 29)(3, 27, 13, 37, 23, 47, 21, 45, 6, 30, 15, 39)(4, 28, 10, 34, 7, 31, 12, 36, 24, 48, 18, 42)(9, 33, 14, 38, 20, 44, 16, 40, 11, 35, 19, 43)(49, 73, 51, 75, 56, 80, 71, 95, 65, 89, 54, 78)(50, 74, 57, 81, 70, 94, 68, 92, 53, 77, 59, 83)(52, 76, 62, 86, 55, 79, 64, 88, 72, 96, 67, 91)(58, 82, 69, 93, 60, 84, 63, 87, 66, 90, 61, 85)
	L = (1, 52)(2, 58)(3, 62)(4, 65)(5, 66)(6, 67)(7, 49)(8, 55)(9, 69)(10, 53)(11, 61)(12, 50)(13, 68)(14, 54)(15, 57)(16, 51)(17, 72)(18, 70)(19, 71)(20, 63)(21, 59)(22, 60)(23, 64)(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) :: { ( 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E13.237
Graph:: bipartite
	v = 8 e = 48 f = 16
	degree seq :: [ 12^8 ]

E13.240 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 6, 6, 6})
Quotient :: edge^2
Aut^+ = C2 x A4 (small group id <24, 13>)
Aut   = C2 x S4 (small group id <48, 48>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y1 * Y3^-1 * Y2^-1, Y2^-1 * Y1 * Y3 * Y2^-1, Y3 * Y2 * Y1^-2, Y1 * Y2 * Y3^-1 * Y2^-1, R * Y1 * R * Y2, (Y2 * Y1^-1)^2, (R * Y3)^2, (Y3 * Y1^-1)^2, Y1 * Y3 * Y2^4, Y3^-1 * Y2^-2 * Y1^-1 * Y3^-1 * Y2^-1, Y3^6 ]
Map:: polytopal non-degenerate
	R = (1, 25, 4, 28, 13, 37, 19, 43, 16, 40, 7, 31)(2, 26, 10, 34, 23, 47, 15, 39, 6, 30, 12, 36)(3, 27, 9, 33, 20, 44, 18, 42, 24, 48, 14, 38)(5, 29, 11, 35, 22, 46, 8, 32, 21, 45, 17, 41)(49, 50, 56, 67, 63, 53)(51, 61, 69, 66, 55, 59)(52, 57, 71, 64, 72, 60)(54, 62, 70, 58, 68, 65)(73, 75, 82, 91, 90, 78)(74, 81, 93, 87, 96, 83)(76, 80, 92, 88, 77, 86)(79, 84, 94, 85, 95, 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) :: { ( 8^6 ), ( 8^12 ) }
Outer automorphisms :: reflexible
Dual of E13.243
Graph:: bipartite
	v = 12 e = 48 f = 12
	degree seq :: [ 6^8, 12^4 ]

E13.241 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 6, 6, 6})
Quotient :: edge^2
Aut^+ = C2 x A4 (small group id <24, 13>)
Aut   = C2 x S4 (small group id <48, 48>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2 * Y1^-1, R * Y2 * R * Y1, (R * Y3)^2, Y1^6, Y2^6, (Y3 * Y1^-1)^3, (Y3 * Y1^-3)^2, (Y3 * Y1 * Y3 * Y1^-1)^2, (Y1^-1 * Y3 * Y2^-1)^6 ]
Map:: non-degenerate
	R = (1, 25, 3, 27)(2, 26, 6, 30)(4, 28, 9, 33)(5, 29, 12, 36)(7, 31, 16, 40)(8, 32, 13, 37)(10, 34, 19, 43)(11, 35, 20, 44)(14, 38, 21, 45)(15, 39, 24, 48)(17, 41, 22, 46)(18, 42, 23, 47)(49, 50, 53, 59, 58, 52)(51, 55, 63, 68, 65, 56)(54, 61, 71, 67, 72, 62)(57, 66, 70, 60, 69, 64)(73, 74, 77, 83, 82, 76)(75, 79, 87, 92, 89, 80)(78, 85, 95, 91, 96, 86)(81, 90, 94, 84, 93, 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) :: { ( 24^4 ), ( 24^6 ) }
Outer automorphisms :: reflexible
Dual of E13.242
Graph:: simple bipartite
	v = 20 e = 48 f = 4
	degree seq :: [ 4^12, 6^8 ]

E13.242 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 6, 6, 6})
Quotient :: loop^2
Aut^+ = C2 x A4 (small group id <24, 13>)
Aut   = C2 x S4 (small group id <48, 48>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y1 * Y3^-1 * Y2^-1, Y2^-1 * Y1 * Y3 * Y2^-1, Y3 * Y2 * Y1^-2, Y1 * Y2 * Y3^-1 * Y2^-1, R * Y1 * R * Y2, (Y2 * Y1^-1)^2, (R * Y3)^2, (Y3 * Y1^-1)^2, Y1 * Y3 * Y2^4, Y3^-1 * Y2^-2 * Y1^-1 * Y3^-1 * Y2^-1, Y3^6 ]
Map:: non-degenerate
	R = (1, 25, 49, 73, 4, 28, 52, 76, 13, 37, 61, 85, 19, 43, 67, 91, 16, 40, 64, 88, 7, 31, 55, 79)(2, 26, 50, 74, 10, 34, 58, 82, 23, 47, 71, 95, 15, 39, 63, 87, 6, 30, 54, 78, 12, 36, 60, 84)(3, 27, 51, 75, 9, 33, 57, 81, 20, 44, 68, 92, 18, 42, 66, 90, 24, 48, 72, 96, 14, 38, 62, 86)(5, 29, 53, 77, 11, 35, 59, 83, 22, 46, 70, 94, 8, 32, 56, 80, 21, 45, 69, 93, 17, 41, 65, 89)
	L = (1, 26)(2, 32)(3, 37)(4, 33)(5, 25)(6, 38)(7, 35)(8, 43)(9, 47)(10, 44)(11, 27)(12, 28)(13, 45)(14, 46)(15, 29)(16, 48)(17, 30)(18, 31)(19, 39)(20, 41)(21, 42)(22, 34)(23, 40)(24, 36)(49, 75)(50, 81)(51, 82)(52, 80)(53, 86)(54, 73)(55, 84)(56, 92)(57, 93)(58, 91)(59, 74)(60, 94)(61, 95)(62, 76)(63, 96)(64, 77)(65, 79)(66, 78)(67, 90)(68, 88)(69, 87)(70, 85)(71, 89)(72, 83)
	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 E13.241
Transitivity :: VT+
Graph::
	v = 4 e = 48 f = 20
	degree seq :: [ 24^4 ]

E13.243 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 6, 6, 6})
Quotient :: loop^2
Aut^+ = C2 x A4 (small group id <24, 13>)
Aut   = C2 x S4 (small group id <48, 48>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2 * Y1^-1, R * Y2 * R * Y1, (R * Y3)^2, Y1^6, Y2^6, (Y3 * Y1^-1)^3, (Y3 * Y1^-3)^2, (Y3 * Y1 * Y3 * Y1^-1)^2, (Y1^-1 * Y3 * Y2^-1)^6 ]
Map:: polytopal non-degenerate
	R = (1, 25, 49, 73, 3, 27, 51, 75)(2, 26, 50, 74, 6, 30, 54, 78)(4, 28, 52, 76, 9, 33, 57, 81)(5, 29, 53, 77, 12, 36, 60, 84)(7, 31, 55, 79, 16, 40, 64, 88)(8, 32, 56, 80, 13, 37, 61, 85)(10, 34, 58, 82, 19, 43, 67, 91)(11, 35, 59, 83, 20, 44, 68, 92)(14, 38, 62, 86, 21, 45, 69, 93)(15, 39, 63, 87, 24, 48, 72, 96)(17, 41, 65, 89, 22, 46, 70, 94)(18, 42, 66, 90, 23, 47, 71, 95)
	L = (1, 26)(2, 29)(3, 31)(4, 25)(5, 35)(6, 37)(7, 39)(8, 27)(9, 42)(10, 28)(11, 34)(12, 45)(13, 47)(14, 30)(15, 44)(16, 33)(17, 32)(18, 46)(19, 48)(20, 41)(21, 40)(22, 36)(23, 43)(24, 38)(49, 74)(50, 77)(51, 79)(52, 73)(53, 83)(54, 85)(55, 87)(56, 75)(57, 90)(58, 76)(59, 82)(60, 93)(61, 95)(62, 78)(63, 92)(64, 81)(65, 80)(66, 94)(67, 96)(68, 89)(69, 88)(70, 84)(71, 91)(72, 86)
	local type(s) :: { ( 6, 12, 6, 12, 6, 12, 6, 12 ) }
Outer automorphisms :: reflexible
Dual of E13.240
Transitivity :: VT+
Graph::
	v = 12 e = 48 f = 12
	degree seq :: [ 8^12 ]

E13.244 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 6, 6})
Quotient :: dipole
Aut^+ = C2 x A4 (small group id <24, 13>)
Aut   = C2 x S4 (small group id <48, 48>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2 * Y3^-1 * Y2, Y3^3, (Y3^-1 * Y2^-1)^2, (R * Y2)^2, (R * Y3)^2, (R * Y1)^2, Y2^-1 * Y1 * Y2^-1 * Y3^-1 * Y1 * Y3^-1, (Y2^-1 * Y1)^3 ]
Map:: non-degenerate
	R = (1, 25, 2, 26)(3, 27, 11, 35)(4, 28, 13, 37)(5, 29, 14, 38)(6, 30, 15, 39)(7, 31, 16, 40)(8, 32, 18, 42)(9, 33, 19, 43)(10, 34, 20, 44)(12, 36, 17, 41)(21, 45, 24, 48)(22, 46, 23, 47)(49, 73, 51, 75, 52, 76, 60, 84, 54, 78, 53, 77)(50, 74, 55, 79, 56, 80, 65, 89, 58, 82, 57, 81)(59, 83, 67, 91, 69, 93, 63, 87, 66, 90, 70, 94)(61, 85, 71, 95, 64, 88, 62, 86, 72, 96, 68, 92)
	L = (1, 52)(2, 56)(3, 60)(4, 54)(5, 51)(6, 49)(7, 65)(8, 58)(9, 55)(10, 50)(11, 69)(12, 53)(13, 64)(14, 68)(15, 70)(16, 72)(17, 57)(18, 59)(19, 63)(20, 71)(21, 66)(22, 67)(23, 62)(24, 61)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 12^4 ), ( 12^12 ) }
Outer automorphisms :: reflexible
Dual of E13.245
Graph:: bipartite
	v = 16 e = 48 f = 8
	degree seq :: [ 4^12, 12^4 ]

E13.245 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 6, 6})
Quotient :: dipole
Aut^+ = C2 x A4 (small group id <24, 13>)
Aut   = C2 x S4 (small group id <48, 48>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y2^-2, Y3^3, Y3^2 * Y2^2, (Y1 * Y2^-1)^2, (Y3 * Y1)^2, (R * Y1)^2, (R * Y3)^2, (R * Y2)^2, (Y2^-1 * Y3^-1)^2, Y1 * Y3^-1 * Y1^-1 * Y2 * Y1, Y1^3 * Y2^-1 * Y3^-1, (Y2^-1 * Y1^-1)^3 ]
Map:: non-degenerate
	R = (1, 25, 2, 26, 8, 32, 14, 38, 19, 43, 5, 29)(3, 27, 13, 37, 10, 34, 7, 31, 22, 46, 11, 35)(4, 28, 15, 39, 21, 45, 6, 30, 17, 41, 16, 40)(9, 33, 23, 47, 20, 44, 12, 36, 24, 48, 18, 42)(49, 73, 51, 75, 52, 76, 62, 86, 55, 79, 54, 78)(50, 74, 57, 81, 58, 82, 67, 91, 60, 84, 59, 83)(53, 77, 65, 89, 66, 90, 56, 80, 63, 87, 68, 92)(61, 85, 71, 95, 69, 93, 70, 94, 72, 96, 64, 88)
	L = (1, 52)(2, 58)(3, 62)(4, 55)(5, 66)(6, 51)(7, 49)(8, 68)(9, 67)(10, 60)(11, 57)(12, 50)(13, 69)(14, 54)(15, 53)(16, 71)(17, 56)(18, 63)(19, 59)(20, 65)(21, 72)(22, 64)(23, 70)(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) :: { ( 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E13.244
Graph:: bipartite
	v = 8 e = 48 f = 16
	degree seq :: [ 12^8 ]

E13.246 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 6, 12})
Quotient :: dipole
Aut^+ = C3 x D8 (small group id <24, 10>)
Aut   = D8 x S3 (small group id <48, 38>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (Y1 * Y2)^2, Y2^4, Y3^-1 * Y2^-1 * Y3 * Y2^-1, (R * Y3)^2, (R * Y1)^2, (Y2^-1 * Y1)^2, R * Y2 * R * Y2^-1, Y3^-1 * Y2^-1 * Y3^-1 * Y1 * Y3^-1, Y1 * Y3 * Y2^-1 * Y1 * Y2 * Y3^-1, Y2^-2 * Y3 * Y2^2 * Y3^-1 ]
Map:: non-degenerate
	R = (1, 25, 2, 26)(3, 27, 9, 33)(4, 28, 14, 38)(5, 29, 7, 31)(6, 30, 18, 42)(8, 32, 23, 47)(10, 34, 24, 48)(11, 35, 20, 44)(12, 36, 21, 45)(13, 37, 22, 46)(15, 39, 19, 43)(16, 40, 17, 41)(49, 73, 51, 75, 59, 83, 53, 77)(50, 74, 55, 79, 68, 92, 57, 81)(52, 76, 63, 87, 71, 95, 60, 84)(54, 78, 65, 89, 72, 96, 61, 85)(56, 80, 67, 91, 62, 86, 69, 93)(58, 82, 64, 88, 66, 90, 70, 94)
	L = (1, 52)(2, 56)(3, 60)(4, 64)(5, 63)(6, 49)(7, 69)(8, 65)(9, 67)(10, 50)(11, 71)(12, 66)(13, 51)(14, 61)(15, 58)(16, 57)(17, 53)(18, 68)(19, 54)(20, 62)(21, 72)(22, 55)(23, 70)(24, 59)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 12, 24, 12, 24 ), ( 12, 24, 12, 24, 12, 24, 12, 24 ) }
Outer automorphisms :: reflexible
Dual of E13.256
Graph:: simple bipartite
	v = 18 e = 48 f = 6
	degree seq :: [ 4^12, 8^6 ]

E13.247 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 6, 12})
Quotient :: dipole
Aut^+ = C3 x D8 (small group id <24, 10>)
Aut   = D8 x S3 (small group id <48, 38>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y2 * Y3 * Y2, (R * Y3)^2, (R * Y1)^2, (Y2 * Y1)^2, R * Y2 * R * Y2^-1, Y2^4, Y3 * Y1 * Y3 * Y2^-1 * Y3, Y2^-1 * Y1 * Y3^3, Y2^-1 * Y3 * Y1 * Y2^-1 * Y3^-1 * Y1 ]
Map:: non-degenerate
	R = (1, 25, 2, 26)(3, 27, 9, 33)(4, 28, 14, 38)(5, 29, 7, 31)(6, 30, 18, 42)(8, 32, 21, 45)(10, 34, 24, 48)(11, 35, 20, 44)(12, 36, 19, 43)(13, 37, 16, 40)(15, 39, 22, 46)(17, 41, 23, 47)(49, 73, 51, 75, 59, 83, 53, 77)(50, 74, 55, 79, 68, 92, 57, 81)(52, 76, 63, 87, 69, 93, 60, 84)(54, 78, 65, 89, 72, 96, 61, 85)(56, 80, 70, 94, 62, 86, 67, 91)(58, 82, 71, 95, 66, 90, 64, 88)
	L = (1, 52)(2, 56)(3, 60)(4, 64)(5, 63)(6, 49)(7, 67)(8, 61)(9, 70)(10, 50)(11, 69)(12, 58)(13, 51)(14, 65)(15, 66)(16, 55)(17, 53)(18, 68)(19, 54)(20, 62)(21, 71)(22, 72)(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) :: { ( 12, 24, 12, 24 ), ( 12, 24, 12, 24, 12, 24, 12, 24 ) }
Outer automorphisms :: reflexible
Dual of E13.257
Graph:: simple bipartite
	v = 18 e = 48 f = 6
	degree seq :: [ 4^12, 8^6 ]

E13.248 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 6, 12})
Quotient :: dipole
Aut^+ = C4 x S3 (small group id <24, 5>)
Aut   = D8 x S3 (small group id <48, 38>)
|r| :: 2
Presentation :: [ R^2, Y3^4, Y3^4, Y3^2 * Y1^2, Y3^-2 * Y1^2, (Y3^-1, Y2^-1), (R * Y3)^2, Y1^-1 * Y2^-1 * Y1 * Y2^-1, (R * Y1)^2, (Y3^-1, Y1^-1), Y1^4, (R * Y2)^2, Y3^-2 * Y2^3, Y2^-1 * Y1 * Y2 * Y1 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 25, 2, 26, 8, 32, 5, 29)(3, 27, 11, 35, 19, 43, 15, 39)(4, 28, 10, 34, 7, 31, 12, 36)(6, 30, 9, 33, 13, 37, 18, 42)(14, 38, 23, 47, 16, 40, 24, 48)(17, 41, 21, 45, 20, 44, 22, 46)(49, 73, 51, 75, 61, 85, 56, 80, 67, 91, 54, 78)(50, 74, 57, 81, 63, 87, 53, 77, 66, 90, 59, 83)(52, 76, 62, 86, 68, 92, 55, 79, 64, 88, 65, 89)(58, 82, 69, 93, 72, 96, 60, 84, 70, 94, 71, 95)
	L = (1, 52)(2, 58)(3, 62)(4, 56)(5, 60)(6, 65)(7, 49)(8, 55)(9, 69)(10, 53)(11, 71)(12, 50)(13, 68)(14, 67)(15, 72)(16, 51)(17, 61)(18, 70)(19, 64)(20, 54)(21, 66)(22, 57)(23, 63)(24, 59)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 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 E13.254
Graph:: bipartite
	v = 10 e = 48 f = 14
	degree seq :: [ 8^6, 12^4 ]

E13.249 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 6, 12})
Quotient :: dipole
Aut^+ = C4 x S3 (small group id <24, 5>)
Aut   = D8 x S3 (small group id <48, 38>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y2 * Y3^-1, (R * Y1)^2, (Y1^-1 * Y3)^2, (Y3 * Y1)^2, (R * Y3)^2, Y1^4, (R * Y2)^2, Y1^-1 * Y2^-1 * Y1 * Y2^-1, Y2^-1 * Y1 * Y2 * Y1 * Y2^-1, Y2^-1 * Y3^-1 * Y2^-1 * Y1 * Y3 * Y1^-1, Y2^6 ]
Map:: non-degenerate
	R = (1, 25, 2, 26, 8, 32, 5, 29)(3, 27, 11, 35, 19, 43, 15, 39)(4, 28, 16, 40, 21, 45, 12, 36)(6, 30, 9, 33, 13, 37, 17, 41)(7, 31, 18, 42, 22, 46, 10, 34)(14, 38, 23, 47, 20, 44, 24, 48)(49, 73, 51, 75, 61, 85, 56, 80, 67, 91, 54, 78)(50, 74, 57, 81, 63, 87, 53, 77, 65, 89, 59, 83)(52, 76, 62, 86, 70, 94, 69, 93, 68, 92, 55, 79)(58, 82, 71, 95, 64, 88, 66, 90, 72, 96, 60, 84)
	L = (1, 52)(2, 58)(3, 62)(4, 51)(5, 66)(6, 55)(7, 49)(8, 69)(9, 71)(10, 57)(11, 60)(12, 50)(13, 70)(14, 61)(15, 64)(16, 53)(17, 72)(18, 65)(19, 68)(20, 54)(21, 67)(22, 56)(23, 63)(24, 59)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 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 E13.255
Graph:: bipartite
	v = 10 e = 48 f = 14
	degree seq :: [ 8^6, 12^4 ]

E13.250 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 6, 12})
Quotient :: dipole
Aut^+ = C3 x D8 (small group id <24, 10>)
Aut   = D8 x S3 (small group id <48, 38>)
|r| :: 2
Presentation :: [ R^2, Y3^2, (R * Y3)^2, (Y1^-1 * Y3)^2, (R * Y1)^2, Y1^4, Y2 * Y1^-1 * Y2^-1 * Y1^-1, Y2 * Y1^-1 * Y2 * Y3 * Y2, (R * Y2 * Y3)^2, Y1^-1 * Y3 * Y2 * Y3 * Y2^-1 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 25, 2, 26, 7, 31, 5, 29)(3, 27, 11, 35, 20, 44, 8, 32)(4, 28, 14, 38, 21, 45, 9, 33)(6, 30, 17, 41, 22, 46, 10, 34)(12, 36, 18, 42, 24, 48, 16, 40)(13, 37, 23, 47, 15, 39, 19, 43)(49, 73, 51, 75, 60, 84, 57, 81, 67, 91, 54, 78)(50, 74, 56, 80, 66, 90, 69, 93, 61, 85, 58, 82)(52, 76, 63, 87, 65, 89, 53, 77, 59, 83, 64, 88)(55, 79, 68, 92, 72, 96, 62, 86, 71, 95, 70, 94)
	L = (1, 52)(2, 57)(3, 61)(4, 49)(5, 62)(6, 66)(7, 69)(8, 71)(9, 50)(10, 72)(11, 67)(12, 65)(13, 51)(14, 53)(15, 68)(16, 70)(17, 60)(18, 54)(19, 59)(20, 63)(21, 55)(22, 64)(23, 56)(24, 58)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 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 E13.252
Graph:: bipartite
	v = 10 e = 48 f = 14
	degree seq :: [ 8^6, 12^4 ]

E13.251 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 6, 12})
Quotient :: dipole
Aut^+ = C3 x D8 (small group id <24, 10>)
Aut   = D8 x S3 (small group id <48, 38>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2 * Y1^-1 * Y2^-1 * Y1^-1, (Y1^-1 * Y3)^2, (R * Y1)^2, Y1^4, (R * Y3)^2, Y2 * Y3 * Y2 * Y1^-1 * Y2, (R * Y2 * Y3)^2, Y1^-1 * Y2 * Y3 * Y2^-1 * Y3 * Y1^-1, (Y1^-1 * Y3 * Y2^-1)^3 ]
Map:: non-degenerate
	R = (1, 25, 2, 26, 7, 31, 5, 29)(3, 27, 11, 35, 20, 44, 8, 32)(4, 28, 14, 38, 21, 45, 9, 33)(6, 30, 17, 41, 22, 46, 10, 34)(12, 36, 16, 40, 24, 48, 18, 42)(13, 37, 19, 43, 15, 39, 23, 47)(49, 73, 51, 75, 60, 84, 62, 86, 67, 91, 54, 78)(50, 74, 56, 80, 64, 88, 52, 76, 63, 87, 58, 82)(53, 77, 59, 83, 66, 90, 69, 93, 61, 85, 65, 89)(55, 79, 68, 92, 72, 96, 57, 81, 71, 95, 70, 94)
	L = (1, 52)(2, 57)(3, 61)(4, 49)(5, 62)(6, 66)(7, 69)(8, 67)(9, 50)(10, 60)(11, 71)(12, 58)(13, 51)(14, 53)(15, 68)(16, 70)(17, 72)(18, 54)(19, 56)(20, 63)(21, 55)(22, 64)(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) :: { ( 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 E13.253
Graph:: bipartite
	v = 10 e = 48 f = 14
	degree seq :: [ 8^6, 12^4 ]

E13.252 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 6, 12})
Quotient :: dipole
Aut^+ = C3 x D8 (small group id <24, 10>)
Aut   = D8 x S3 (small group id <48, 38>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, (R * Y3)^2, (R * Y1)^2, Y1 * Y2 * Y1^2 * Y3, Y1^3 * Y2 * Y3, (R * Y2 * Y3)^2, Y2 * Y3 * Y2 * Y1 * Y3 * Y1^-1, (Y3 * Y1 * Y3 * Y1^-1)^2 ]
Map:: non-degenerate
	R = (1, 25, 2, 26, 6, 30, 13, 37, 19, 43, 23, 47, 24, 48, 21, 45, 22, 46, 10, 34, 17, 41, 5, 29)(3, 27, 9, 33, 16, 40, 20, 44, 8, 32, 15, 39, 18, 42, 7, 31, 14, 38, 4, 28, 12, 36, 11, 35)(49, 73, 51, 75)(50, 74, 55, 79)(52, 76, 61, 85)(53, 77, 63, 87)(54, 78, 64, 88)(56, 80, 67, 91)(57, 81, 69, 93)(58, 82, 68, 92)(59, 83, 71, 95)(60, 84, 65, 89)(62, 86, 70, 94)(66, 90, 72, 96)
	L = (1, 52)(2, 56)(3, 58)(4, 49)(5, 64)(6, 59)(7, 65)(8, 50)(9, 67)(10, 51)(11, 54)(12, 69)(13, 66)(14, 71)(15, 70)(16, 53)(17, 55)(18, 61)(19, 57)(20, 72)(21, 60)(22, 63)(23, 62)(24, 68)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 8, 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 E13.250
Graph:: bipartite
	v = 14 e = 48 f = 10
	degree seq :: [ 4^12, 24^2 ]

E13.253 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 6, 12})
Quotient :: dipole
Aut^+ = C3 x D8 (small group id <24, 10>)
Aut   = D8 x S3 (small group id <48, 38>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, (R * Y3)^2, (R * Y1)^2, Y1 * Y2 * Y1 * Y3 * Y1, Y1^3 * Y3 * Y2, (R * Y2 * Y3)^2, Y3 * Y1 * Y2 * Y3 * Y2 * Y1^-1, (Y3 * Y1^-1 * Y3 * Y1)^2 ]
Map:: non-degenerate
	R = (1, 25, 2, 26, 6, 30, 10, 34, 18, 42, 22, 46, 24, 48, 21, 45, 23, 47, 13, 37, 17, 41, 5, 29)(3, 27, 9, 33, 14, 38, 4, 28, 12, 36, 15, 39, 19, 43, 7, 31, 16, 40, 20, 44, 8, 32, 11, 35)(49, 73, 51, 75)(50, 74, 55, 79)(52, 76, 61, 85)(53, 77, 63, 87)(54, 78, 62, 86)(56, 80, 65, 89)(57, 81, 69, 93)(58, 82, 68, 92)(59, 83, 70, 94)(60, 84, 66, 90)(64, 88, 71, 95)(67, 91, 72, 96)
	L = (1, 52)(2, 56)(3, 58)(4, 49)(5, 64)(6, 63)(7, 66)(8, 50)(9, 65)(10, 51)(11, 71)(12, 69)(13, 67)(14, 70)(15, 54)(16, 53)(17, 57)(18, 55)(19, 61)(20, 72)(21, 60)(22, 62)(23, 59)(24, 68)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 8, 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 E13.251
Graph:: bipartite
	v = 14 e = 48 f = 10
	degree seq :: [ 4^12, 24^2 ]

E13.254 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 6, 12})
Quotient :: dipole
Aut^+ = C4 x S3 (small group id <24, 5>)
Aut   = D8 x S3 (small group id <48, 38>)
|r| :: 2
Presentation :: [ Y2^2, R^2, Y3^-1 * Y1^-3, (R * Y1)^2, (R * Y3)^2, (R * Y2)^2, (Y3, Y1^-1), Y3 * Y2 * Y3^-1 * Y2, Y3^4, Y2 * Y1 * Y3 * Y2 * Y1^-2, (Y3 * Y1 * Y2)^2, Y3 * Y1^-1 * Y2 * Y1 * Y2 * Y1^-1, Y3^-2 * Y2 * Y1^-1 * Y2 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 25, 2, 26, 7, 31, 6, 30, 10, 34, 19, 43, 15, 39, 24, 48, 16, 40, 4, 28, 9, 33, 5, 29)(3, 27, 11, 35, 21, 45, 14, 38, 22, 46, 8, 32, 20, 44, 17, 41, 23, 47, 12, 36, 18, 42, 13, 37)(49, 73, 51, 75)(50, 74, 56, 80)(52, 76, 60, 84)(53, 77, 65, 89)(54, 78, 62, 86)(55, 79, 66, 90)(57, 81, 69, 93)(58, 82, 71, 95)(59, 83, 67, 91)(61, 85, 72, 96)(63, 87, 68, 92)(64, 88, 70, 94)
	L = (1, 52)(2, 57)(3, 60)(4, 63)(5, 64)(6, 49)(7, 53)(8, 69)(9, 72)(10, 50)(11, 66)(12, 68)(13, 71)(14, 51)(15, 54)(16, 67)(17, 70)(18, 65)(19, 55)(20, 62)(21, 61)(22, 59)(23, 56)(24, 58)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 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 E13.248
Graph:: bipartite
	v = 14 e = 48 f = 10
	degree seq :: [ 4^12, 24^2 ]

E13.255 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 6, 12})
Quotient :: dipole
Aut^+ = C4 x S3 (small group id <24, 5>)
Aut   = D8 x S3 (small group id <48, 38>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^-1 * Y1, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, (Y2 * Y1^2)^2, (Y2 * Y1^-1)^4, Y2 * Y1^3 * Y2 * Y1^-3, (Y3 * Y2)^4, (Y3^-1 * Y1^-1)^6 ]
Map:: non-degenerate
	R = (1, 25, 2, 26, 5, 29, 11, 35, 20, 44, 16, 40, 23, 47, 17, 41, 24, 48, 19, 43, 10, 34, 4, 28)(3, 27, 7, 31, 15, 39, 21, 45, 14, 38, 6, 30, 13, 37, 9, 33, 18, 42, 22, 46, 12, 36, 8, 32)(49, 73, 51, 75)(50, 74, 54, 78)(52, 76, 57, 81)(53, 77, 60, 84)(55, 79, 64, 88)(56, 80, 65, 89)(58, 82, 63, 87)(59, 83, 69, 93)(61, 85, 71, 95)(62, 86, 72, 96)(66, 90, 68, 92)(67, 91, 70, 94)
	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, 69)(16, 71)(17, 72)(18, 70)(19, 58)(20, 64)(21, 62)(22, 60)(23, 65)(24, 67)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 8, 12, 8, 12 ), ( 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12 ) }
Outer automorphisms :: reflexible
Dual of E13.249
Graph:: bipartite
	v = 14 e = 48 f = 10
	degree seq :: [ 4^12, 24^2 ]

E13.256 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 6, 12})
Quotient :: dipole
Aut^+ = C3 x D8 (small group id <24, 10>)
Aut   = D8 x S3 (small group id <48, 38>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y2^-1 * Y3^-1, (Y3^-1 * Y2)^2, (R * Y3^-1)^2, Y1^-2 * Y3^-2, (R * Y3)^2, (R * Y1)^2, Y1 * Y3^2 * Y1, (Y1 * Y2)^2, (Y3 * Y2^-1)^2, Y2^-1 * Y1^-1 * Y2^2 * Y3, (Y2 * Y3 * Y1^-1)^2, Y3 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y2 ]
Map:: non-degenerate
	R = (1, 25, 2, 26, 8, 32, 21, 45, 17, 41, 5, 29)(3, 27, 12, 36, 18, 42, 4, 28, 16, 40, 7, 31)(6, 30, 20, 44, 10, 34, 19, 43, 11, 35, 9, 33)(13, 37, 23, 47, 24, 48, 14, 38, 22, 46, 15, 39)(49, 73, 51, 75, 61, 85, 58, 82, 56, 80, 66, 90, 72, 96, 59, 83, 65, 89, 64, 88, 70, 94, 54, 78)(50, 74, 57, 81, 71, 95, 55, 79, 69, 93, 68, 92, 62, 86, 60, 84, 53, 77, 67, 91, 63, 87, 52, 76)
	L = (1, 52)(2, 58)(3, 62)(4, 65)(5, 54)(6, 69)(7, 49)(8, 55)(9, 70)(10, 53)(11, 50)(12, 56)(13, 57)(14, 64)(15, 51)(16, 71)(17, 60)(18, 63)(19, 72)(20, 61)(21, 59)(22, 67)(23, 66)(24, 68)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8 ), ( 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 E13.246
Graph:: bipartite
	v = 6 e = 48 f = 18
	degree seq :: [ 12^4, 24^2 ]

E13.257 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 6, 12})
Quotient :: dipole
Aut^+ = C3 x D8 (small group id <24, 10>)
Aut   = D8 x S3 (small group id <48, 38>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y3^-1 * Y2^-1, (R * Y1)^2, Y1^-2 * Y3^-2, (R * Y3)^2, (R * Y1)^2, (Y1 * Y2)^2, Y1^2 * Y3^2, (Y3 * Y2^-1)^2, Y1^2 * Y2 * Y3^-1 * Y1, Y2^3 * Y1 * Y3, Y3^6, (Y3^-1 * Y1^-1)^4 ]
Map:: non-degenerate
	R = (1, 25, 2, 26, 8, 32, 15, 39, 18, 42, 5, 29)(3, 27, 12, 36, 19, 43, 11, 35, 10, 34, 14, 38)(4, 28, 16, 40, 7, 31, 23, 47, 9, 33, 6, 30)(13, 37, 22, 46, 24, 48, 17, 41, 21, 45, 20, 44)(49, 73, 51, 75, 61, 85, 64, 88, 56, 80, 67, 91, 72, 96, 71, 95, 66, 90, 58, 82, 69, 93, 54, 78)(50, 74, 57, 81, 70, 94, 62, 86, 63, 87, 52, 76, 65, 89, 60, 84, 53, 77, 55, 79, 68, 92, 59, 83)
	L = (1, 52)(2, 58)(3, 50)(4, 66)(5, 67)(6, 68)(7, 49)(8, 55)(9, 56)(10, 53)(11, 61)(12, 69)(13, 60)(14, 72)(15, 51)(16, 70)(17, 64)(18, 57)(19, 63)(20, 71)(21, 62)(22, 54)(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) :: { ( 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8 ), ( 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 E13.247
Graph:: bipartite
	v = 6 e = 48 f = 18
	degree seq :: [ 12^4, 24^2 ]

E13.258 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 6, 12})
Quotient :: dipole
Aut^+ = C4 x S3 (small group id <24, 5>)
Aut   = D8 x S3 (small group id <48, 38>)
|r| :: 2
Presentation :: [ Y1^2, R^2, R * Y2 * R * Y2^-1, (R * Y3)^2, (R * Y1)^2, Y3^4, Y3^-1 * Y2^-1 * Y3 * Y2^-1, (Y2 * Y1)^2, Y3 * Y2^-2 * Y3 * Y2, Y1 * Y2^-1 * Y3^-1 * Y1 * Y3^-1, Y3 * Y2^-1 * Y1 * Y3^-1 * Y2^-1 * Y1 ]
Map:: non-degenerate
	R = (1, 25, 2, 26)(3, 27, 9, 33)(4, 28, 14, 38)(5, 29, 7, 31)(6, 30, 19, 43)(8, 32, 18, 42)(10, 34, 15, 39)(11, 35, 24, 48)(12, 36, 21, 45)(13, 37, 22, 46)(16, 40, 23, 47)(17, 41, 20, 44)(49, 73, 51, 75, 59, 83, 64, 88, 65, 89, 53, 77)(50, 74, 55, 79, 68, 92, 71, 95, 72, 96, 57, 81)(52, 76, 63, 87, 61, 85, 54, 78, 66, 90, 60, 84)(56, 80, 67, 91, 70, 94, 58, 82, 62, 86, 69, 93)
	L = (1, 52)(2, 56)(3, 60)(4, 64)(5, 63)(6, 49)(7, 69)(8, 71)(9, 67)(10, 50)(11, 66)(12, 65)(13, 51)(14, 57)(15, 59)(16, 54)(17, 61)(18, 53)(19, 68)(20, 62)(21, 72)(22, 55)(23, 58)(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 ) }
Outer automorphisms :: reflexible
Dual of E13.260
Graph:: simple bipartite
	v = 16 e = 48 f = 8
	degree seq :: [ 4^12, 12^4 ]

E13.259 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 6, 12})
Quotient :: dipole
Aut^+ = C4 x S3 (small group id <24, 5>)
Aut   = D8 x S3 (small group id <48, 38>)
|r| :: 2
Presentation :: [ Y1^2, R^2, R * Y2 * R * Y2^-1, (R * Y3)^2, (R * Y1)^2, Y2^-1 * Y3 * Y2^-1 * Y3^-1, Y3^4, (Y2 * Y1)^2, Y3 * Y2^-2 * Y3 * Y2, Y1 * Y3 * Y1 * Y2 * Y3, Y2^-1 * Y3 * Y1 * Y2^-1 * Y3^-1 * Y1 ]
Map:: non-degenerate
	R = (1, 25, 2, 26)(3, 27, 9, 33)(4, 28, 14, 38)(5, 29, 7, 31)(6, 30, 19, 43)(8, 32, 13, 37)(10, 34, 12, 36)(11, 35, 23, 47)(15, 39, 21, 45)(16, 40, 22, 46)(17, 41, 20, 44)(18, 42, 24, 48)(49, 73, 51, 75, 59, 83, 64, 88, 65, 89, 53, 77)(50, 74, 55, 79, 68, 92, 70, 94, 71, 95, 57, 81)(52, 76, 63, 87, 61, 85, 54, 78, 66, 90, 60, 84)(56, 80, 69, 93, 62, 86, 58, 82, 72, 96, 67, 91)
	L = (1, 52)(2, 56)(3, 60)(4, 64)(5, 63)(6, 49)(7, 67)(8, 70)(9, 69)(10, 50)(11, 66)(12, 65)(13, 51)(14, 55)(15, 59)(16, 54)(17, 61)(18, 53)(19, 71)(20, 72)(21, 68)(22, 58)(23, 62)(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) :: { ( 8, 24, 8, 24 ), ( 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24 ) }
Outer automorphisms :: reflexible
Dual of E13.261
Graph:: simple bipartite
	v = 16 e = 48 f = 8
	degree seq :: [ 4^12, 12^4 ]

E13.260 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 6, 12})
Quotient :: dipole
Aut^+ = C4 x S3 (small group id <24, 5>)
Aut   = D8 x S3 (small group id <48, 38>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y2^-3, Y3^2 * Y1^2, Y3^2 * Y1^-2, (R * Y3)^2, (Y3, Y1^-1), Y3^4, (Y2 * Y1^-1)^2, (Y2^-1 * Y1^-1)^2, (R * Y1)^2, (Y3, Y2), (R * Y2)^2 ]
Map:: non-degenerate
	R = (1, 25, 2, 26, 8, 32, 5, 29)(3, 27, 13, 37, 19, 43, 11, 35)(4, 28, 10, 34, 7, 31, 12, 36)(6, 30, 17, 41, 20, 44, 9, 33)(14, 38, 23, 47, 18, 42, 22, 46)(15, 39, 24, 48, 16, 40, 21, 45)(49, 73, 51, 75, 62, 86, 52, 76, 63, 87, 68, 92, 56, 80, 67, 91, 66, 90, 55, 79, 64, 88, 54, 78)(50, 74, 57, 81, 69, 93, 58, 82, 70, 94, 61, 85, 53, 77, 65, 89, 72, 96, 60, 84, 71, 95, 59, 83)
	L = (1, 52)(2, 58)(3, 63)(4, 56)(5, 60)(6, 62)(7, 49)(8, 55)(9, 70)(10, 53)(11, 69)(12, 50)(13, 72)(14, 68)(15, 67)(16, 51)(17, 71)(18, 54)(19, 64)(20, 66)(21, 61)(22, 65)(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) :: { ( 4, 12, 4, 12, 4, 12, 4, 12 ), ( 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 E13.258
Graph:: bipartite
	v = 8 e = 48 f = 16
	degree seq :: [ 8^6, 24^2 ]

E13.261 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 6, 12})
Quotient :: dipole
Aut^+ = C4 x S3 (small group id <24, 5>)
Aut   = D8 x S3 (small group id <48, 38>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3, (R * Y3)^2, Y3 * Y1^-1 * Y2^-1 * Y1^-1, (R * Y1)^2, Y1^4, (Y3^-1 * Y1^-1)^2, Y2^2 * Y1^-1 * Y3 * Y2^-3 * Y1^-1, (Y3 * Y2^-1)^6, Y2^12 ]
Map:: non-degenerate
	R = (1, 25, 2, 26, 6, 30, 5, 29)(3, 27, 9, 33, 13, 37, 8, 32)(4, 28, 11, 35, 14, 38, 7, 31)(10, 34, 16, 40, 21, 45, 17, 41)(12, 36, 15, 39, 22, 46, 19, 43)(18, 42, 23, 47, 20, 44, 24, 48)(49, 73, 51, 75, 58, 82, 66, 90, 70, 94, 62, 86, 54, 78, 61, 85, 69, 93, 68, 92, 60, 84, 52, 76)(50, 74, 55, 79, 63, 87, 71, 95, 65, 89, 57, 81, 53, 77, 59, 83, 67, 91, 72, 96, 64, 88, 56, 80)
	L = (1, 52)(2, 56)(3, 49)(4, 60)(5, 57)(6, 62)(7, 50)(8, 64)(9, 65)(10, 51)(11, 53)(12, 68)(13, 54)(14, 70)(15, 55)(16, 72)(17, 71)(18, 58)(19, 59)(20, 69)(21, 61)(22, 66)(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) :: { ( 4, 12, 4, 12, 4, 12, 4, 12 ), ( 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 E13.259
Graph:: bipartite
	v = 8 e = 48 f = 16
	degree seq :: [ 8^6, 24^2 ]

E13.262 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 6, 12})
Quotient :: dipole
Aut^+ = C12 x C2 (small group id <24, 9>)
Aut   = C2 x D24 (small group id <48, 36>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^3 * Y2^-1, (Y3^-1, Y2^-1), (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, Y2^4, Y3 * Y1 * Y3^-1 * Y1, Y2 * Y1 * Y2^-1 * Y1, Y3^-1 * Y2^-2 * Y3^-1 * Y2^-1 * Y3^-1 ]
Map:: non-degenerate
	R = (1, 25, 2, 26)(3, 27, 7, 31)(4, 28, 8, 32)(5, 29, 9, 33)(6, 30, 10, 34)(11, 35, 16, 40)(12, 36, 17, 41)(13, 37, 18, 42)(14, 38, 19, 43)(15, 39, 20, 44)(21, 45, 23, 47)(22, 46, 24, 48)(49, 73, 51, 75, 59, 83, 53, 77)(50, 74, 55, 79, 64, 88, 57, 81)(52, 76, 60, 84, 69, 93, 62, 86)(54, 78, 61, 85, 70, 94, 63, 87)(56, 80, 65, 89, 71, 95, 67, 91)(58, 82, 66, 90, 72, 96, 68, 92)
	L = (1, 52)(2, 56)(3, 60)(4, 61)(5, 62)(6, 49)(7, 65)(8, 66)(9, 67)(10, 50)(11, 69)(12, 70)(13, 51)(14, 54)(15, 53)(16, 71)(17, 72)(18, 55)(19, 58)(20, 57)(21, 63)(22, 59)(23, 68)(24, 64)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 12, 24, 12, 24 ), ( 12, 24, 12, 24, 12, 24, 12, 24 ) }
Outer automorphisms :: reflexible
Dual of E13.276
Graph:: simple bipartite
	v = 18 e = 48 f = 6
	degree seq :: [ 4^12, 8^6 ]

E13.263 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 6, 12})
Quotient :: dipole
Aut^+ = C12 x C2 (small group id <24, 9>)
Aut   = C2 x D24 (small group id <48, 36>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (R * Y3)^2, (R * Y1)^2, (Y2, Y3^-1), Y2^-1 * Y1 * Y2 * Y1, (R * Y2)^2, Y2^4, Y3 * Y1 * Y3^-1 * Y1, Y3^3 * Y1 * Y2 ]
Map:: non-degenerate
	R = (1, 25, 2, 26)(3, 27, 7, 31)(4, 28, 8, 32)(5, 29, 9, 33)(6, 30, 10, 34)(11, 35, 18, 42)(12, 36, 17, 41)(13, 37, 19, 43)(14, 38, 16, 40)(15, 39, 20, 44)(21, 45, 23, 47)(22, 46, 24, 48)(49, 73, 51, 75, 59, 83, 53, 77)(50, 74, 55, 79, 66, 90, 57, 81)(52, 76, 60, 84, 69, 93, 63, 87)(54, 78, 61, 85, 70, 94, 64, 88)(56, 80, 65, 89, 71, 95, 68, 92)(58, 82, 67, 91, 72, 96, 62, 86)
	L = (1, 52)(2, 56)(3, 60)(4, 62)(5, 63)(6, 49)(7, 65)(8, 64)(9, 68)(10, 50)(11, 69)(12, 58)(13, 51)(14, 57)(15, 72)(16, 53)(17, 54)(18, 71)(19, 55)(20, 70)(21, 67)(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) :: { ( 12, 24, 12, 24 ), ( 12, 24, 12, 24, 12, 24, 12, 24 ) }
Outer automorphisms :: reflexible
Dual of E13.275
Graph:: simple bipartite
	v = 18 e = 48 f = 6
	degree seq :: [ 4^12, 8^6 ]

E13.264 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 6, 12})
Quotient :: dipole
Aut^+ = C12 x C2 (small group id <24, 9>)
Aut   = C2 x D24 (small group id <48, 36>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2 * Y1 * Y2, Y3^-1 * Y1 * Y3 * Y1, (R * Y3)^2, (Y2^-1, Y3^-1), (R * Y1)^2, (R * Y2)^2, Y3^6 * Y1, (Y2^-1 * Y3)^6 ]
Map:: non-degenerate
	R = (1, 25, 2, 26)(3, 27, 5, 29)(4, 28, 7, 31)(6, 30, 8, 32)(9, 33, 12, 36)(10, 34, 13, 37)(11, 35, 15, 39)(14, 38, 16, 40)(17, 41, 20, 44)(18, 42, 21, 45)(19, 43, 22, 46)(23, 47, 24, 48)(49, 73, 51, 75, 50, 74, 53, 77)(52, 76, 57, 81, 55, 79, 60, 84)(54, 78, 58, 82, 56, 80, 61, 85)(59, 83, 65, 89, 63, 87, 68, 92)(62, 86, 66, 90, 64, 88, 69, 93)(67, 91, 71, 95, 70, 94, 72, 96)
	L = (1, 52)(2, 55)(3, 57)(4, 59)(5, 60)(6, 49)(7, 63)(8, 50)(9, 65)(10, 51)(11, 67)(12, 68)(13, 53)(14, 54)(15, 70)(16, 56)(17, 71)(18, 58)(19, 64)(20, 72)(21, 61)(22, 62)(23, 69)(24, 66)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 12, 24, 12, 24 ), ( 12, 24, 12, 24, 12, 24, 12, 24 ) }
Outer automorphisms :: reflexible
Dual of E13.274
Graph:: bipartite
	v = 18 e = 48 f = 6
	degree seq :: [ 4^12, 8^6 ]

E13.265 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 6, 12})
Quotient :: dipole
Aut^+ = C12 x C2 (small group id <24, 9>)
Aut   = C2 x D24 (small group id <48, 36>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (R * Y3)^2, (R * Y1)^2, (Y3^-1, Y2^-1), (R * Y2)^2, Y2^-1 * Y1 * Y2 * Y1, Y2^4, Y3 * Y1 * Y3^-1 * Y1, Y3^-1 * Y1 * Y2 * Y3^-2, Y3^-1 * Y2^-1 * Y1 * Y2^-1 * Y3^-1 * Y1 * Y2^-1 * Y3^-1 * Y1 ]
Map:: non-degenerate
	R = (1, 25, 2, 26)(3, 27, 7, 31)(4, 28, 8, 32)(5, 29, 9, 33)(6, 30, 10, 34)(11, 35, 18, 42)(12, 36, 19, 43)(13, 37, 14, 38)(15, 39, 17, 41)(16, 40, 20, 44)(21, 45, 24, 48)(22, 46, 23, 47)(49, 73, 51, 75, 59, 83, 53, 77)(50, 74, 55, 79, 66, 90, 57, 81)(52, 76, 60, 84, 69, 93, 63, 87)(54, 78, 61, 85, 70, 94, 64, 88)(56, 80, 67, 91, 72, 96, 65, 89)(58, 82, 62, 86, 71, 95, 68, 92)
	L = (1, 52)(2, 56)(3, 60)(4, 62)(5, 63)(6, 49)(7, 67)(8, 61)(9, 65)(10, 50)(11, 69)(12, 71)(13, 51)(14, 55)(15, 58)(16, 53)(17, 54)(18, 72)(19, 70)(20, 57)(21, 68)(22, 59)(23, 66)(24, 64)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 12, 24, 12, 24 ), ( 12, 24, 12, 24, 12, 24, 12, 24 ) }
Outer automorphisms :: reflexible
Dual of E13.277
Graph:: simple bipartite
	v = 18 e = 48 f = 6
	degree seq :: [ 4^12, 8^6 ]

E13.266 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 6, 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, (R * Y1)^2, (Y2^-1 * R)^2, (Y3^-1, Y2^-1), (R * Y3)^2, Y1^4, (Y3^-1 * Y1^-1)^2, (Y1, Y2^-1), Y2^6, Y3^12 ]
Map:: non-degenerate
	R = (1, 25, 2, 26, 6, 30, 4, 28)(3, 27, 7, 31, 13, 37, 10, 34)(5, 29, 8, 32, 14, 38, 11, 35)(9, 33, 15, 39, 20, 44, 18, 42)(12, 36, 16, 40, 21, 45, 19, 43)(17, 41, 22, 46, 24, 48, 23, 47)(49, 73, 51, 75, 57, 81, 65, 89, 60, 84, 53, 77)(50, 74, 55, 79, 63, 87, 70, 94, 64, 88, 56, 80)(52, 76, 58, 82, 66, 90, 71, 95, 67, 91, 59, 83)(54, 78, 61, 85, 68, 92, 72, 96, 69, 93, 62, 86)
	L = (1, 50)(2, 54)(3, 55)(4, 49)(5, 56)(6, 52)(7, 61)(8, 62)(9, 63)(10, 51)(11, 53)(12, 64)(13, 58)(14, 59)(15, 68)(16, 69)(17, 70)(18, 57)(19, 60)(20, 66)(21, 67)(22, 72)(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) :: { ( 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 E13.273
Graph:: bipartite
	v = 10 e = 48 f = 14
	degree seq :: [ 8^6, 12^4 ]

E13.267 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 6, 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, (Y3^-1, Y1^-1), Y3^2 * Y1^2, (R * Y3)^2, (Y3^-1, Y2^-1), (Y1^-1 * Y3)^2, (R * Y2)^2, (R * Y1)^2, (Y1, Y2^-1), Y2 * Y1 * Y3^-1 * Y2^2, Y2 * Y1 * Y2^2 * Y3^-1, (Y2 * Y3 * Y1)^6 ]
Map:: non-degenerate
	R = (1, 25, 2, 26, 8, 32, 5, 29)(3, 27, 9, 33, 21, 45, 15, 39)(4, 28, 10, 34, 7, 31, 12, 36)(6, 30, 11, 35, 22, 46, 18, 42)(13, 37, 17, 41, 24, 48, 20, 44)(14, 38, 23, 47, 16, 40, 19, 43)(49, 73, 51, 75, 61, 85, 60, 84, 67, 91, 54, 78)(50, 74, 57, 81, 65, 89, 52, 76, 62, 86, 59, 83)(53, 77, 63, 87, 68, 92, 55, 79, 64, 88, 66, 90)(56, 80, 69, 93, 72, 96, 58, 82, 71, 95, 70, 94)
	L = (1, 52)(2, 58)(3, 62)(4, 56)(5, 60)(6, 65)(7, 49)(8, 55)(9, 71)(10, 53)(11, 72)(12, 50)(13, 59)(14, 69)(15, 67)(16, 51)(17, 70)(18, 61)(19, 57)(20, 54)(21, 64)(22, 68)(23, 63)(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) :: { ( 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 E13.271
Graph:: bipartite
	v = 10 e = 48 f = 14
	degree seq :: [ 8^6, 12^4 ]

E13.268 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 6, 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, (R * Y2)^2, (Y3^-1, Y2^-1), (Y3, Y1^-1), (R * Y1)^2, (R * Y3)^2, Y1^4, (Y1, Y2^-1), Y2^-1 * Y1 * Y3 * Y2^-2, Y3 * Y2 * Y1 * Y2^2, Y3^-1 * Y1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 ]
Map:: non-degenerate
	R = (1, 25, 2, 26, 8, 32, 5, 29)(3, 27, 9, 33, 21, 45, 15, 39)(4, 28, 10, 34, 7, 31, 12, 36)(6, 30, 11, 35, 22, 46, 18, 42)(13, 37, 20, 44, 24, 48, 17, 41)(14, 38, 19, 43, 16, 40, 23, 47)(49, 73, 51, 75, 61, 85, 58, 82, 67, 91, 54, 78)(50, 74, 57, 81, 68, 92, 55, 79, 64, 88, 59, 83)(52, 76, 62, 86, 66, 90, 53, 77, 63, 87, 65, 89)(56, 80, 69, 93, 72, 96, 60, 84, 71, 95, 70, 94)
	L = (1, 52)(2, 58)(3, 62)(4, 56)(5, 60)(6, 65)(7, 49)(8, 55)(9, 67)(10, 53)(11, 61)(12, 50)(13, 66)(14, 69)(15, 71)(16, 51)(17, 70)(18, 72)(19, 63)(20, 54)(21, 64)(22, 68)(23, 57)(24, 59)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 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 E13.272
Graph:: bipartite
	v = 10 e = 48 f = 14
	degree seq :: [ 8^6, 12^4 ]

E13.269 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 6, 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, Y3^2 * Y1^2, (R * Y2)^2, (R * Y3)^2, (Y1, Y2^-1), (Y3^-1, Y1^-1), (R * Y1)^2, Y1^4, (Y3^-1, Y2^-1), Y1^2 * Y2^3, Y3^-1 * Y2^2 * Y3^-1 * Y2, Y3 * Y2^2 * Y3 * Y2 ]
Map:: non-degenerate
	R = (1, 25, 2, 26, 8, 32, 5, 29)(3, 27, 9, 33, 19, 43, 15, 39)(4, 28, 10, 34, 7, 31, 12, 36)(6, 30, 11, 35, 13, 37, 18, 42)(14, 38, 21, 45, 16, 40, 22, 46)(17, 41, 23, 47, 20, 44, 24, 48)(49, 73, 51, 75, 61, 85, 56, 80, 67, 91, 54, 78)(50, 74, 57, 81, 66, 90, 53, 77, 63, 87, 59, 83)(52, 76, 62, 86, 68, 92, 55, 79, 64, 88, 65, 89)(58, 82, 69, 93, 72, 96, 60, 84, 70, 94, 71, 95)
	L = (1, 52)(2, 58)(3, 62)(4, 56)(5, 60)(6, 65)(7, 49)(8, 55)(9, 69)(10, 53)(11, 71)(12, 50)(13, 68)(14, 67)(15, 70)(16, 51)(17, 61)(18, 72)(19, 64)(20, 54)(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) :: { ( 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 E13.270
Graph:: bipartite
	v = 10 e = 48 f = 14
	degree seq :: [ 8^6, 12^4 ]

E13.270 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 6, 12})
Quotient :: dipole
Aut^+ = C12 x C2 (small group id <24, 9>)
Aut   = C2 x D24 (small group id <48, 36>)
|r| :: 2
Presentation :: [ Y2^2, R^2, (Y3, Y1), Y1^-3 * Y3^-1, (R * Y1)^2, (R * Y3)^2, (R * Y2)^2, Y2 * Y1 * Y2 * Y1^-1, Y3 * Y2 * Y3^-1 * Y2, Y3^4 ]
Map:: non-degenerate
	R = (1, 25, 2, 26, 7, 31, 6, 30, 10, 34, 17, 41, 14, 38, 20, 44, 15, 39, 4, 28, 9, 33, 5, 29)(3, 27, 8, 32, 16, 40, 13, 37, 19, 43, 23, 47, 21, 45, 24, 48, 22, 46, 11, 35, 18, 42, 12, 36)(49, 73, 51, 75)(50, 74, 56, 80)(52, 76, 59, 83)(53, 77, 60, 84)(54, 78, 61, 85)(55, 79, 64, 88)(57, 81, 66, 90)(58, 82, 67, 91)(62, 86, 69, 93)(63, 87, 70, 94)(65, 89, 71, 95)(68, 92, 72, 96)
	L = (1, 52)(2, 57)(3, 59)(4, 62)(5, 63)(6, 49)(7, 53)(8, 66)(9, 68)(10, 50)(11, 69)(12, 70)(13, 51)(14, 54)(15, 65)(16, 60)(17, 55)(18, 72)(19, 56)(20, 58)(21, 61)(22, 71)(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, 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 E13.269
Graph:: bipartite
	v = 14 e = 48 f = 10
	degree seq :: [ 4^12, 24^2 ]

E13.271 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 6, 12})
Quotient :: dipole
Aut^+ = C12 x C2 (small group id <24, 9>)
Aut   = C2 x D24 (small group id <48, 36>)
|r| :: 2
Presentation :: [ Y2^2, R^2, (R * Y1)^2, (R * Y3)^2, (Y1, Y3^-1), (R * Y2)^2, Y2 * Y1 * Y2 * Y1^-1, Y3^4, Y3 * Y2 * Y3^-1 * Y2, Y2 * Y1^2 * Y3 * Y1, Y3^-1 * Y2 * Y3^-1 * Y1 * Y2 * Y3^-2 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 25, 2, 26, 7, 31, 13, 37, 19, 43, 23, 47, 14, 38, 20, 44, 22, 46, 11, 35, 16, 40, 5, 29)(3, 27, 8, 32, 17, 41, 6, 30, 10, 34, 18, 42, 21, 45, 24, 48, 15, 39, 4, 28, 9, 33, 12, 36)(49, 73, 51, 75)(50, 74, 56, 80)(52, 76, 59, 83)(53, 77, 60, 84)(54, 78, 61, 85)(55, 79, 65, 89)(57, 81, 64, 88)(58, 82, 67, 91)(62, 86, 69, 93)(63, 87, 70, 94)(66, 90, 71, 95)(68, 92, 72, 96)
	L = (1, 52)(2, 57)(3, 59)(4, 62)(5, 63)(6, 49)(7, 60)(8, 64)(9, 68)(10, 50)(11, 69)(12, 70)(13, 51)(14, 54)(15, 71)(16, 72)(17, 53)(18, 55)(19, 56)(20, 58)(21, 61)(22, 66)(23, 65)(24, 67)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 8, 12, 8, 12 ), ( 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12 ) }
Outer automorphisms :: reflexible
Dual of E13.267
Graph:: bipartite
	v = 14 e = 48 f = 10
	degree seq :: [ 4^12, 24^2 ]

E13.272 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 6, 12})
Quotient :: dipole
Aut^+ = C12 x C2 (small group id <24, 9>)
Aut   = C2 x D24 (small group id <48, 36>)
|r| :: 2
Presentation :: [ Y2^2, R^2, (R * Y1)^2, (R * Y3)^2, (R * Y2)^2, (Y3, Y1), Y2 * Y1 * Y2 * Y1^-1, Y3 * Y2 * Y3^-1 * Y2, Y3^4, Y3^-1 * Y1^3 * Y2, (Y3 * Y1 * Y2)^3 ]
Map:: non-degenerate
	R = (1, 25, 2, 26, 7, 31, 11, 35, 19, 43, 23, 47, 14, 38, 20, 44, 22, 46, 13, 37, 16, 40, 5, 29)(3, 27, 8, 32, 15, 39, 4, 28, 9, 33, 18, 42, 21, 45, 24, 48, 17, 41, 6, 30, 10, 34, 12, 36)(49, 73, 51, 75)(50, 74, 56, 80)(52, 76, 59, 83)(53, 77, 60, 84)(54, 78, 61, 85)(55, 79, 63, 87)(57, 81, 67, 91)(58, 82, 64, 88)(62, 86, 69, 93)(65, 89, 70, 94)(66, 90, 71, 95)(68, 92, 72, 96)
	L = (1, 52)(2, 57)(3, 59)(4, 62)(5, 63)(6, 49)(7, 66)(8, 67)(9, 68)(10, 50)(11, 69)(12, 55)(13, 51)(14, 54)(15, 71)(16, 56)(17, 53)(18, 70)(19, 72)(20, 58)(21, 61)(22, 60)(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) :: { ( 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 E13.268
Graph:: bipartite
	v = 14 e = 48 f = 10
	degree seq :: [ 4^12, 24^2 ]

E13.273 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 6, 12})
Quotient :: dipole
Aut^+ = C12 x C2 (small group id <24, 9>)
Aut   = C2 x D24 (small group id <48, 36>)
|r| :: 2
Presentation :: [ Y2^2, R^2, Y2 * Y3^-2, (R * Y3)^2, (Y3^-1, Y1), Y2 * Y1^-1 * Y2 * Y1, (R * Y2)^2, (R * Y1)^2, Y2 * Y1^6, Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^3 ]
Map:: non-degenerate
	R = (1, 25, 2, 26, 7, 31, 15, 39, 19, 43, 11, 35, 3, 27, 8, 32, 16, 40, 21, 45, 13, 37, 5, 29)(4, 28, 9, 33, 17, 41, 23, 47, 22, 46, 14, 38, 6, 30, 10, 34, 18, 42, 24, 48, 20, 44, 12, 36)(49, 73, 51, 75)(50, 74, 56, 80)(52, 76, 54, 78)(53, 77, 59, 83)(55, 79, 64, 88)(57, 81, 58, 82)(60, 84, 62, 86)(61, 85, 67, 91)(63, 87, 69, 93)(65, 89, 66, 90)(68, 92, 70, 94)(71, 95, 72, 96)
	L = (1, 52)(2, 57)(3, 54)(4, 51)(5, 60)(6, 49)(7, 65)(8, 58)(9, 56)(10, 50)(11, 62)(12, 59)(13, 68)(14, 53)(15, 71)(16, 66)(17, 64)(18, 55)(19, 70)(20, 67)(21, 72)(22, 61)(23, 69)(24, 63)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 8, 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 E13.266
Graph:: bipartite
	v = 14 e = 48 f = 10
	degree seq :: [ 4^12, 24^2 ]

E13.274 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 6, 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), Y2^-1 * Y1^-1 * Y3^-1 * Y1^-1, (R * Y1)^2, (R * Y2)^2, Y1^-1 * Y2^-1 * Y3^-1 * Y1^-1, (R * Y3)^2, (Y3^-1 * Y2)^2, Y3^2 * Y2^-2, (Y2^-1, Y1), Y1^-1 * Y2 * Y3 * Y1^-3, Y3^2 * Y1^-1 * Y3^-2 * Y1, Y3^2 * Y2^2 * Y1^-2 ]
Map:: non-degenerate
	R = (1, 25, 2, 26, 8, 32, 19, 43, 14, 38, 5, 29)(3, 27, 9, 33, 7, 31, 12, 36, 21, 45, 15, 39)(4, 28, 10, 34, 6, 30, 11, 35, 20, 44, 17, 41)(13, 37, 22, 46, 16, 40, 23, 47, 18, 42, 24, 48)(49, 73, 51, 75, 61, 85, 68, 92, 56, 80, 55, 79, 64, 88, 52, 76, 62, 86, 69, 93, 66, 90, 54, 78)(50, 74, 57, 81, 70, 94, 65, 89, 67, 91, 60, 84, 71, 95, 58, 82, 53, 77, 63, 87, 72, 96, 59, 83)
	L = (1, 52)(2, 58)(3, 62)(4, 61)(5, 65)(6, 64)(7, 49)(8, 54)(9, 53)(10, 70)(11, 71)(12, 50)(13, 69)(14, 68)(15, 67)(16, 51)(17, 72)(18, 55)(19, 59)(20, 66)(21, 56)(22, 63)(23, 57)(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) :: { ( 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8 ), ( 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 E13.264
Graph:: bipartite
	v = 6 e = 48 f = 18
	degree seq :: [ 12^4, 24^2 ]

E13.275 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 6, 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^-2, (Y3, Y2^-1), (R * Y1)^2, (R * Y3)^2, (Y2^-1, Y1^-1), (Y3^-1, Y1^-1), (R * Y2)^2, (Y3 * Y2^-1)^2, Y2^-1 * Y3^-3 * Y1^-1, Y2 * Y1 * Y2 * Y3 * Y2, Y1 * Y2 * Y1^2 * Y3^-1, Y2^-1 * Y1^2 * Y3 * Y1, Y3 * Y1 * Y2^3, Y3^2 * Y1^-1 * Y2^2 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 25, 2, 26, 8, 32, 16, 40, 18, 42, 5, 29)(3, 27, 9, 33, 17, 41, 4, 28, 10, 34, 15, 39)(6, 30, 11, 35, 20, 44, 7, 31, 12, 36, 19, 43)(13, 37, 22, 46, 24, 48, 14, 38, 21, 45, 23, 47)(49, 73, 51, 75, 61, 85, 68, 92, 56, 80, 65, 89, 72, 96, 60, 84, 66, 90, 58, 82, 69, 93, 54, 78)(50, 74, 57, 81, 70, 94, 55, 79, 64, 88, 52, 76, 62, 86, 67, 91, 53, 77, 63, 87, 71, 95, 59, 83)
	L = (1, 52)(2, 58)(3, 62)(4, 61)(5, 65)(6, 64)(7, 49)(8, 63)(9, 69)(10, 70)(11, 66)(12, 50)(13, 67)(14, 68)(15, 72)(16, 51)(17, 71)(18, 57)(19, 56)(20, 53)(21, 55)(22, 54)(23, 60)(24, 59)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8 ), ( 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 E13.263
Graph:: bipartite
	v = 6 e = 48 f = 18
	degree seq :: [ 12^4, 24^2 ]

E13.276 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 6, 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, Y1 * Y3^-2, (R * Y3)^2, (R * Y1)^2, (Y3 * Y2^-1)^2, (R * Y2 * Y3^-1)^2, Y1^6, (Y3^-1 * Y1^-1)^4 ]
Map:: non-degenerate
	R = (1, 25, 2, 26, 8, 32, 17, 41, 13, 37, 5, 29)(3, 27, 9, 33, 18, 42, 21, 45, 14, 38, 6, 30)(4, 28, 10, 34, 19, 43, 22, 46, 15, 39, 7, 31)(11, 35, 20, 44, 24, 48, 23, 47, 16, 40, 12, 36)(49, 73, 51, 75, 50, 74, 57, 81, 56, 80, 66, 90, 65, 89, 69, 93, 61, 85, 62, 86, 53, 77, 54, 78)(52, 76, 59, 83, 58, 82, 68, 92, 67, 91, 72, 96, 70, 94, 71, 95, 63, 87, 64, 88, 55, 79, 60, 84)
	L = (1, 52)(2, 58)(3, 59)(4, 50)(5, 55)(6, 60)(7, 49)(8, 67)(9, 68)(10, 56)(11, 57)(12, 51)(13, 63)(14, 64)(15, 53)(16, 54)(17, 70)(18, 72)(19, 65)(20, 66)(21, 71)(22, 61)(23, 62)(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) :: { ( 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8 ), ( 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 E13.262
Graph:: bipartite
	v = 6 e = 48 f = 18
	degree seq :: [ 12^4, 24^2 ]

E13.277 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 6, 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^-1 * Y3^-1, Y1 * Y3^-1 * Y2^-1, (R * Y2)^2, (R * Y3)^2, (R * Y1)^2, Y2 * Y3^-2 * Y2, Y1^6, (Y3^-1 * Y1^-1)^4, Y3^12 ]
Map:: non-degenerate
	R = (1, 25, 2, 26, 8, 32, 17, 41, 13, 37, 5, 29)(3, 27, 9, 33, 18, 42, 22, 46, 15, 39, 7, 31)(4, 28, 10, 34, 19, 43, 21, 45, 14, 38, 6, 30)(11, 35, 20, 44, 24, 48, 23, 47, 16, 40, 12, 36)(49, 73, 51, 75, 59, 83, 58, 82, 56, 80, 66, 90, 72, 96, 69, 93, 61, 85, 63, 87, 64, 88, 54, 78)(50, 74, 57, 81, 68, 92, 67, 91, 65, 89, 70, 94, 71, 95, 62, 86, 53, 77, 55, 79, 60, 84, 52, 76)
	L = (1, 52)(2, 58)(3, 50)(4, 59)(5, 54)(6, 60)(7, 49)(8, 67)(9, 56)(10, 68)(11, 57)(12, 51)(13, 62)(14, 64)(15, 53)(16, 55)(17, 69)(18, 65)(19, 72)(20, 66)(21, 71)(22, 61)(23, 63)(24, 70)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8 ), ( 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 E13.265
Graph:: bipartite
	v = 6 e = 48 f = 18
	degree seq :: [ 12^4, 24^2 ]

E13.278 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 6, 12})
Quotient :: dipole
Aut^+ = C12 x C2 (small group id <24, 9>)
Aut   = C2 x D24 (small group id <48, 36>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^-3 * Y1, (R * Y2)^2, (R * Y1)^2, (Y3^-1, Y2^-1), (R * Y3)^2, Y3 * Y1 * Y3^-1 * Y1, Y2^-1 * Y3^-3 * Y2^-1 * Y3^-1, Y2^-1 * Y3^2 * Y1 * Y2 * Y3^2 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 25, 2, 26)(3, 27, 7, 31)(4, 28, 8, 32)(5, 29, 9, 33)(6, 30, 10, 34)(11, 35, 17, 41)(12, 36, 18, 42)(13, 37, 19, 43)(14, 38, 20, 44)(15, 39, 21, 45)(16, 40, 22, 46)(23, 47, 24, 48)(49, 73, 51, 75, 57, 81, 50, 74, 55, 79, 53, 77)(52, 76, 59, 83, 68, 92, 56, 80, 65, 89, 62, 86)(54, 78, 60, 84, 69, 93, 58, 82, 66, 90, 63, 87)(61, 85, 71, 95, 64, 88, 67, 91, 72, 96, 70, 94)
	L = (1, 52)(2, 56)(3, 59)(4, 61)(5, 62)(6, 49)(7, 65)(8, 67)(9, 68)(10, 50)(11, 71)(12, 51)(13, 66)(14, 70)(15, 53)(16, 54)(17, 72)(18, 55)(19, 60)(20, 64)(21, 57)(22, 58)(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 ) }
Outer automorphisms :: reflexible
Dual of E13.284
Graph:: bipartite
	v = 16 e = 48 f = 8
	degree seq :: [ 4^12, 12^4 ]

E13.279 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 6, 12})
Quotient :: dipole
Aut^+ = C12 x C2 (small group id <24, 9>)
Aut   = C2 x D24 (small group id <48, 36>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (Y3, Y2), (R * Y3)^2, (R * Y1)^2, Y3 * Y1 * Y3^-1 * Y1, (R * Y2)^2, Y2^-1 * Y1 * Y2 * Y1, Y1 * Y2^-2 * Y3^2, Y1 * Y2^2 * Y3^-2, Y3^4 * Y2^2, Y2^6 ]
Map:: non-degenerate
	R = (1, 25, 2, 26)(3, 27, 7, 31)(4, 28, 8, 32)(5, 29, 9, 33)(6, 30, 10, 34)(11, 35, 14, 38)(12, 36, 19, 43)(13, 37, 15, 39)(16, 40, 18, 42)(17, 41, 20, 44)(21, 45, 23, 47)(22, 46, 24, 48)(49, 73, 51, 75, 59, 83, 69, 93, 64, 88, 53, 77)(50, 74, 55, 79, 62, 86, 71, 95, 66, 90, 57, 81)(52, 76, 60, 84, 70, 94, 68, 92, 58, 82, 63, 87)(54, 78, 61, 85, 56, 80, 67, 91, 72, 96, 65, 89)
	L = (1, 52)(2, 56)(3, 60)(4, 62)(5, 63)(6, 49)(7, 67)(8, 59)(9, 61)(10, 50)(11, 70)(12, 71)(13, 51)(14, 72)(15, 55)(16, 58)(17, 53)(18, 54)(19, 69)(20, 57)(21, 68)(22, 66)(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) :: { ( 8, 24, 8, 24 ), ( 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24 ) }
Outer automorphisms :: reflexible
Dual of E13.285
Graph:: simple bipartite
	v = 16 e = 48 f = 8
	degree seq :: [ 4^12, 12^4 ]

E13.280 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 6, 12})
Quotient :: dipole
Aut^+ = C12 x C2 (small group id <24, 9>)
Aut   = C2 x D24 (small group id <48, 36>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^2 * Y2 * Y1, Y3 * Y1 * Y3 * Y2, Y2 * Y3^2 * Y1, (Y3, Y2^-1), (R * Y3)^2, (R * Y1)^2, Y2^-1 * Y1 * Y2 * Y1, (Y2^-1 * R)^2, Y2^6 ]
Map:: non-degenerate
	R = (1, 25, 2, 26)(3, 27, 7, 31)(4, 28, 8, 32)(5, 29, 9, 33)(6, 30, 10, 34)(11, 35, 15, 39)(12, 36, 16, 40)(13, 37, 17, 41)(14, 38, 18, 42)(19, 43, 22, 46)(20, 44, 23, 47)(21, 45, 24, 48)(49, 73, 51, 75, 59, 83, 67, 91, 62, 86, 53, 77)(50, 74, 55, 79, 63, 87, 70, 94, 66, 90, 57, 81)(52, 76, 58, 82, 64, 88, 71, 95, 69, 93, 61, 85)(54, 78, 60, 84, 68, 92, 72, 96, 65, 89, 56, 80)
	L = (1, 52)(2, 56)(3, 58)(4, 57)(5, 61)(6, 49)(7, 54)(8, 53)(9, 65)(10, 50)(11, 64)(12, 51)(13, 66)(14, 69)(15, 60)(16, 55)(17, 62)(18, 72)(19, 71)(20, 59)(21, 70)(22, 68)(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) :: { ( 8, 24, 8, 24 ), ( 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24 ) }
Outer automorphisms :: reflexible
Dual of E13.283
Graph:: simple bipartite
	v = 16 e = 48 f = 8
	degree seq :: [ 4^12, 12^4 ]

E13.281 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 6, 12})
Quotient :: dipole
Aut^+ = C12 x C2 (small group id <24, 9>)
Aut   = C2 x D24 (small group id <48, 36>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2 * Y3^2, (R * Y1)^2, (R * Y3)^2, (R * Y2)^2, Y2^-1 * Y1 * Y2 * Y1, Y3 * Y1 * Y3^-1 * Y1, Y2^6, (Y3 * Y2^-1)^4 ]
Map:: non-degenerate
	R = (1, 25, 2, 26)(3, 27, 7, 31)(4, 28, 8, 32)(5, 29, 9, 33)(6, 30, 10, 34)(11, 35, 15, 39)(12, 36, 16, 40)(13, 37, 17, 41)(14, 38, 18, 42)(19, 43, 22, 46)(20, 44, 23, 47)(21, 45, 24, 48)(49, 73, 51, 75, 59, 83, 67, 91, 62, 86, 53, 77)(50, 74, 55, 79, 63, 87, 70, 94, 66, 90, 57, 81)(52, 76, 54, 78, 60, 84, 68, 92, 69, 93, 61, 85)(56, 80, 58, 82, 64, 88, 71, 95, 72, 96, 65, 89)
	L = (1, 52)(2, 56)(3, 54)(4, 53)(5, 61)(6, 49)(7, 58)(8, 57)(9, 65)(10, 50)(11, 60)(12, 51)(13, 62)(14, 69)(15, 64)(16, 55)(17, 66)(18, 72)(19, 68)(20, 59)(21, 67)(22, 71)(23, 63)(24, 70)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 8, 24, 8, 24 ), ( 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24 ) }
Outer automorphisms :: reflexible
Dual of E13.282
Graph:: simple bipartite
	v = 16 e = 48 f = 8
	degree seq :: [ 4^12, 12^4 ]

E13.282 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 6, 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^-3, Y3^2 * Y1^-2, (Y3^-1, Y1^-1), Y3^2 * Y1^2, (Y3^-1, Y2^-1), (R * Y2)^2, (R * Y3)^2, (R * Y1)^2, Y3^4, (Y2^-1, Y1^-1) ]
Map:: non-degenerate
	R = (1, 25, 2, 26, 8, 32, 5, 29)(3, 27, 9, 33, 19, 43, 15, 39)(4, 28, 10, 34, 7, 31, 12, 36)(6, 30, 11, 35, 20, 44, 17, 41)(13, 37, 21, 45, 18, 42, 24, 48)(14, 38, 22, 46, 16, 40, 23, 47)(49, 73, 51, 75, 61, 85, 52, 76, 62, 86, 68, 92, 56, 80, 67, 91, 66, 90, 55, 79, 64, 88, 54, 78)(50, 74, 57, 81, 69, 93, 58, 82, 70, 94, 65, 89, 53, 77, 63, 87, 72, 96, 60, 84, 71, 95, 59, 83)
	L = (1, 52)(2, 58)(3, 62)(4, 56)(5, 60)(6, 61)(7, 49)(8, 55)(9, 70)(10, 53)(11, 69)(12, 50)(13, 68)(14, 67)(15, 71)(16, 51)(17, 72)(18, 54)(19, 64)(20, 66)(21, 65)(22, 63)(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) :: { ( 4, 12, 4, 12, 4, 12, 4, 12 ), ( 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 E13.281
Graph:: bipartite
	v = 8 e = 48 f = 16
	degree seq :: [ 8^6, 24^2 ]

E13.283 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 6, 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, Y3^4, Y3^2 * Y1^2, (R * Y2)^2, (Y3^-1, Y2^-1), Y1^4, Y1^-1 * Y2^-3, (R * Y1)^2, (R * Y3)^2, (Y3^-1, Y1^-1), (Y1^-1 * Y2)^3, Y2^-1 * Y1^-1 * Y3^-1 * Y2 * Y3^-1 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 25, 2, 26, 8, 32, 5, 29)(3, 27, 9, 33, 19, 43, 15, 39)(4, 28, 10, 34, 7, 31, 12, 36)(6, 30, 11, 35, 20, 44, 13, 37)(14, 38, 21, 45, 16, 40, 22, 46)(17, 41, 23, 47, 18, 42, 24, 48)(49, 73, 51, 75, 61, 85, 53, 77, 63, 87, 68, 92, 56, 80, 67, 91, 59, 83, 50, 74, 57, 81, 54, 78)(52, 76, 62, 86, 72, 96, 60, 84, 70, 94, 66, 90, 55, 79, 64, 88, 71, 95, 58, 82, 69, 93, 65, 89)
	L = (1, 52)(2, 58)(3, 62)(4, 56)(5, 60)(6, 65)(7, 49)(8, 55)(9, 69)(10, 53)(11, 71)(12, 50)(13, 72)(14, 67)(15, 70)(16, 51)(17, 68)(18, 54)(19, 64)(20, 66)(21, 63)(22, 57)(23, 61)(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) :: { ( 4, 12, 4, 12, 4, 12, 4, 12 ), ( 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 E13.280
Graph:: bipartite
	v = 8 e = 48 f = 16
	degree seq :: [ 8^6, 24^2 ]

E13.284 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 6, 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, Y3^-2 * Y1^2, Y2^3 * Y1^-1, (R * Y3)^2, (R * Y2)^2, (Y3^-1, Y1^-1), (R * Y1)^2, Y1^4, (Y3^-1, Y2^-1), Y1 * Y2 * Y1 * Y3 * Y2^-1 * Y3, Y2^-2 * Y3 * Y2^-1 * Y1^-1 * Y3 ]
Map:: non-degenerate
	R = (1, 25, 2, 26, 8, 32, 5, 29)(3, 27, 9, 33, 19, 43, 14, 38)(4, 28, 10, 34, 7, 31, 12, 36)(6, 30, 11, 35, 20, 44, 17, 41)(13, 37, 21, 45, 15, 39, 22, 46)(16, 40, 23, 47, 18, 42, 24, 48)(49, 73, 51, 75, 59, 83, 50, 74, 57, 81, 68, 92, 56, 80, 67, 91, 65, 89, 53, 77, 62, 86, 54, 78)(52, 76, 61, 85, 71, 95, 58, 82, 69, 93, 66, 90, 55, 79, 63, 87, 72, 96, 60, 84, 70, 94, 64, 88)
	L = (1, 52)(2, 58)(3, 61)(4, 56)(5, 60)(6, 64)(7, 49)(8, 55)(9, 69)(10, 53)(11, 71)(12, 50)(13, 67)(14, 70)(15, 51)(16, 68)(17, 72)(18, 54)(19, 63)(20, 66)(21, 62)(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) :: { ( 4, 12, 4, 12, 4, 12, 4, 12 ), ( 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 E13.278
Graph:: bipartite
	v = 8 e = 48 f = 16
	degree seq :: [ 8^6, 24^2 ]

E13.285 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 6, 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 * Y1^-1, (Y1, Y2^-1), (R * Y1)^2, (R * Y3)^2, (Y2^-1 * R)^2, Y1^4, (Y3^-1 * Y1^-1)^2, (Y3^-1, Y2^-1), Y1^2 * Y2^6, Y2^-1 * Y3^2 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 25, 2, 26, 6, 30, 4, 28)(3, 27, 7, 31, 13, 37, 10, 34)(5, 29, 8, 32, 14, 38, 11, 35)(9, 33, 15, 39, 21, 45, 18, 42)(12, 36, 16, 40, 22, 46, 19, 43)(17, 41, 23, 47, 20, 44, 24, 48)(49, 73, 51, 75, 57, 81, 65, 89, 70, 94, 62, 86, 54, 78, 61, 85, 69, 93, 68, 92, 60, 84, 53, 77)(50, 74, 55, 79, 63, 87, 71, 95, 67, 91, 59, 83, 52, 76, 58, 82, 66, 90, 72, 96, 64, 88, 56, 80)
	L = (1, 50)(2, 54)(3, 55)(4, 49)(5, 56)(6, 52)(7, 61)(8, 62)(9, 63)(10, 51)(11, 53)(12, 64)(13, 58)(14, 59)(15, 69)(16, 70)(17, 71)(18, 57)(19, 60)(20, 72)(21, 66)(22, 67)(23, 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) :: { ( 4, 12, 4, 12, 4, 12, 4, 12 ), ( 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 E13.279
Graph:: bipartite
	v = 8 e = 48 f = 16
	degree seq :: [ 8^6, 24^2 ]

E13.286 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 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, Y1^3, Y1 * Y3^-2, (Y2, Y3), (Y2, Y1^-1), (R * Y1)^2, (R * Y3)^2, (R * Y2)^2, (Y3^-1 * Y1^-1)^2, Y1 * Y2^-4, (Y2^-2 * Y3)^2, (Y2^2 * Y1)^2 ]
Map:: non-degenerate
	R = (1, 25, 2, 26, 5, 29)(3, 27, 8, 32, 13, 37)(4, 28, 9, 33, 7, 31)(6, 30, 10, 34, 16, 40)(11, 35, 19, 43, 17, 41)(12, 36, 20, 44, 14, 38)(15, 39, 21, 45, 18, 42)(22, 46, 24, 48, 23, 47)(49, 73, 51, 75, 59, 83, 58, 82, 50, 74, 56, 80, 67, 91, 64, 88, 53, 77, 61, 85, 65, 89, 54, 78)(52, 76, 60, 84, 70, 94, 69, 93, 57, 81, 68, 92, 72, 96, 66, 90, 55, 79, 62, 86, 71, 95, 63, 87)
	L = (1, 52)(2, 57)(3, 60)(4, 50)(5, 55)(6, 63)(7, 49)(8, 68)(9, 53)(10, 69)(11, 70)(12, 56)(13, 62)(14, 51)(15, 58)(16, 66)(17, 71)(18, 54)(19, 72)(20, 61)(21, 64)(22, 67)(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) :: { ( 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 E13.287
Graph:: bipartite
	v = 10 e = 48 f = 14
	degree seq :: [ 6^8, 24^2 ]

E13.287 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 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 :: [ Y2^2, R^2, Y2 * Y3 * Y2 * Y3^-1, Y3^-3 * Y2, (R * Y3)^2, (R * Y2)^2, (R * Y1)^2, Y2 * Y1^-1 * Y2 * Y1, (Y1, Y3^-1), Y1^-1 * Y3 * Y2 * Y1^-3 ]
Map:: non-degenerate
	R = (1, 25, 2, 26, 7, 31, 17, 41, 11, 35, 21, 45, 24, 48, 23, 47, 13, 37, 22, 46, 15, 39, 5, 29)(3, 27, 8, 32, 18, 42, 14, 38, 4, 28, 9, 33, 19, 43, 16, 40, 6, 30, 10, 34, 20, 44, 12, 36)(49, 73, 51, 75)(50, 74, 56, 80)(52, 76, 59, 83)(53, 77, 60, 84)(54, 78, 61, 85)(55, 79, 66, 90)(57, 81, 69, 93)(58, 82, 70, 94)(62, 86, 65, 89)(63, 87, 68, 92)(64, 88, 71, 95)(67, 91, 72, 96)
	L = (1, 52)(2, 57)(3, 59)(4, 61)(5, 62)(6, 49)(7, 67)(8, 69)(9, 70)(10, 50)(11, 54)(12, 65)(13, 51)(14, 71)(15, 66)(16, 53)(17, 64)(18, 72)(19, 63)(20, 55)(21, 58)(22, 56)(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) :: { ( 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 E13.286
Graph:: bipartite
	v = 14 e = 48 f = 10
	degree seq :: [ 4^12, 24^2 ]

E13.288 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 8, 24})
Quotient :: dipole
Aut^+ = C24 (small group id <24, 2>)
Aut   = D48 (small group id <48, 7>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^3, Y3^-1 * Y1 * Y3 * Y1, (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, (Y3, Y2^-1), Y2^-1 * Y1 * Y2 * Y1, Y2 * Y1 * Y2 * Y1 * Y2, Y1 * Y3^4 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 25, 2, 26)(3, 27, 7, 31)(4, 28, 8, 32)(5, 29, 9, 33)(6, 30, 10, 34)(11, 35, 17, 41)(12, 36, 18, 42)(13, 37, 19, 43)(14, 38, 20, 44)(15, 39, 21, 45)(16, 40, 22, 46)(23, 47, 24, 48)(49, 73, 51, 75, 53, 77)(50, 74, 55, 79, 57, 81)(52, 76, 59, 83, 62, 86)(54, 78, 60, 84, 63, 87)(56, 80, 65, 89, 68, 92)(58, 82, 66, 90, 69, 93)(61, 85, 71, 95, 70, 94)(64, 88, 67, 91, 72, 96)
	L = (1, 52)(2, 56)(3, 59)(4, 61)(5, 62)(6, 49)(7, 65)(8, 67)(9, 68)(10, 50)(11, 71)(12, 51)(13, 66)(14, 70)(15, 53)(16, 54)(17, 72)(18, 55)(19, 60)(20, 64)(21, 57)(22, 58)(23, 69)(24, 63)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 16, 48, 16, 48 ), ( 16, 48, 16, 48, 16, 48 ) }
Outer automorphisms :: reflexible
Dual of E13.291
Graph:: simple bipartite
	v = 20 e = 48 f = 4
	degree seq :: [ 4^12, 6^8 ]

E13.289 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 8, 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 * Y3^-2, (Y2, Y3), (R * Y3)^2, (R * Y2)^2, (Y2^-1, Y1^-1), (R * Y1)^2, (Y1 * Y3)^2, Y2^3 * Y3^-1 * Y2 * Y1^-1, Y2^2 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3^-1 ]
Map:: non-degenerate
	R = (1, 25, 2, 26, 5, 29)(3, 27, 8, 32, 13, 37)(4, 28, 9, 33, 7, 31)(6, 30, 10, 34, 16, 40)(11, 35, 19, 43, 24, 48)(12, 36, 20, 44, 14, 38)(15, 39, 21, 45, 18, 42)(17, 41, 22, 46, 23, 47)(49, 73, 51, 75, 59, 83, 69, 93, 57, 81, 68, 92, 65, 89, 54, 78)(50, 74, 56, 80, 67, 91, 66, 90, 55, 79, 62, 86, 70, 94, 58, 82)(52, 76, 60, 84, 71, 95, 64, 88, 53, 77, 61, 85, 72, 96, 63, 87)
	L = (1, 52)(2, 57)(3, 60)(4, 50)(5, 55)(6, 63)(7, 49)(8, 68)(9, 53)(10, 69)(11, 71)(12, 56)(13, 62)(14, 51)(15, 58)(16, 66)(17, 72)(18, 54)(19, 65)(20, 61)(21, 64)(22, 59)(23, 67)(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) :: { ( 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 E13.290
Graph:: bipartite
	v = 11 e = 48 f = 13
	degree seq :: [ 6^8, 16^3 ]

E13.290 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 8, 24})
Quotient :: dipole
Aut^+ = C24 (small group id <24, 2>)
Aut   = D48 (small group id <48, 7>)
|r| :: 2
Presentation :: [ Y2^2, R^2, Y3^3 * Y2, (R * Y1)^2, (R * Y3)^2, (Y1, Y3^-1), (R * Y2)^2, Y3^-1 * Y2 * Y3 * Y2, Y2 * Y1 * Y2 * Y1^-1, Y3 * Y1^4, Y2 * Y1^2 * Y3^-1 * Y1^2 * Y3^-1 ]
Map:: non-degenerate
	R = (1, 25, 2, 26, 7, 31, 16, 40, 6, 30, 10, 34, 18, 42, 21, 45, 11, 35, 19, 43, 22, 46, 12, 36, 3, 27, 8, 32, 17, 41, 23, 47, 13, 37, 20, 44, 24, 48, 14, 38, 4, 28, 9, 33, 15, 39, 5, 29)(49, 73, 51, 75)(50, 74, 56, 80)(52, 76, 59, 83)(53, 77, 60, 84)(54, 78, 61, 85)(55, 79, 65, 89)(57, 81, 67, 91)(58, 82, 68, 92)(62, 86, 69, 93)(63, 87, 70, 94)(64, 88, 71, 95)(66, 90, 72, 96)
	L = (1, 52)(2, 57)(3, 59)(4, 61)(5, 62)(6, 49)(7, 63)(8, 67)(9, 68)(10, 50)(11, 54)(12, 69)(13, 51)(14, 71)(15, 72)(16, 53)(17, 70)(18, 55)(19, 58)(20, 56)(21, 64)(22, 66)(23, 60)(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) :: { ( 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 E13.289
Graph:: bipartite
	v = 13 e = 48 f = 11
	degree seq :: [ 4^12, 48 ]

E13.291 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 8, 24})
Quotient :: dipole
Aut^+ = C24 (small group id <24, 2>)
Aut   = D48 (small group id <48, 7>)
|r| :: 2
Presentation :: [ R^2, Y3^2 * Y2 * Y1^-1, (Y3, Y1^-1), Y2^3 * Y1^-1, (Y3, Y2^-1), (Y2 * Y3^-1)^2, (R * Y1)^2, (R * Y3)^2, Y3 * Y2 * Y3 * Y1^-1, (R * Y2 * Y3^-1)^2, Y3 * Y2^-1 * Y1^-4, Y1^-1 * Y3^-2 * Y1^-1 * Y3^-1 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 25, 2, 26, 8, 32, 19, 43, 14, 38, 24, 48, 16, 40, 5, 29)(3, 27, 9, 33, 20, 44, 15, 39, 4, 28, 10, 34, 21, 45, 13, 37)(6, 30, 11, 35, 22, 46, 18, 42, 7, 31, 12, 36, 23, 47, 17, 41)(49, 73, 51, 75, 59, 83, 50, 74, 57, 81, 70, 94, 56, 80, 68, 92, 66, 90, 67, 91, 63, 87, 55, 79, 62, 86, 52, 76, 60, 84, 72, 96, 58, 82, 71, 95, 64, 88, 69, 93, 65, 89, 53, 77, 61, 85, 54, 78)
	L = (1, 52)(2, 58)(3, 60)(4, 59)(5, 63)(6, 62)(7, 49)(8, 69)(9, 71)(10, 70)(11, 72)(12, 50)(13, 55)(14, 51)(15, 54)(16, 68)(17, 67)(18, 53)(19, 61)(20, 65)(21, 66)(22, 64)(23, 56)(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) :: { ( 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6 ), ( 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 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 E13.288
Graph:: bipartite
	v = 4 e = 48 f = 20
	degree seq :: [ 16^3, 48 ]

E13.292 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 8, 24})
Quotient :: dipole
Aut^+ = C24 (small group id <24, 2>)
Aut   = D48 (small group id <48, 7>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (R * Y2)^2, (R * Y3)^2, (R * Y1)^2, (Y2, Y3^-1), Y3 * Y1 * Y3^-1 * Y1, Y2^-1 * Y1 * Y2 * Y1, Y2 * Y1 * Y3^3, Y1 * Y2^4, Y2^-1 * Y3^2 * Y2^-1 * Y3 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 25, 2, 26)(3, 27, 7, 31)(4, 28, 8, 32)(5, 29, 9, 33)(6, 30, 10, 34)(11, 35, 16, 40)(12, 36, 18, 42)(13, 37, 19, 43)(14, 38, 17, 41)(15, 39, 20, 44)(21, 45, 23, 47)(22, 46, 24, 48)(49, 73, 51, 75, 59, 83, 57, 81, 50, 74, 55, 79, 64, 88, 53, 77)(52, 76, 60, 84, 69, 93, 68, 92, 56, 80, 66, 90, 71, 95, 63, 87)(54, 78, 61, 85, 70, 94, 62, 86, 58, 82, 67, 91, 72, 96, 65, 89)
	L = (1, 52)(2, 56)(3, 60)(4, 62)(5, 63)(6, 49)(7, 66)(8, 65)(9, 68)(10, 50)(11, 69)(12, 58)(13, 51)(14, 57)(15, 70)(16, 71)(17, 53)(18, 54)(19, 55)(20, 72)(21, 67)(22, 59)(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) :: { ( 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 E13.293
Graph:: bipartite
	v = 15 e = 48 f = 9
	degree seq :: [ 4^12, 16^3 ]

E13.293 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 8, 24})
Quotient :: dipole
Aut^+ = C24 (small group id <24, 2>)
Aut   = D48 (small group id <48, 7>)
|r| :: 2
Presentation :: [ R^2, Y1^3, Y3^2 * Y1^-1, (R * Y3)^2, (Y2^-1, Y1^-1), (Y2, Y3), (R * Y1)^2, (R * Y2)^2, (Y3^-1 * Y1^-1)^2, Y2^4 * Y3^-1, Y2^-1 * Y3 * Y2^-3 ]
Map:: non-degenerate
	R = (1, 25, 2, 26, 5, 29)(3, 27, 8, 32, 13, 37)(4, 28, 9, 33, 7, 31)(6, 30, 10, 34, 16, 40)(11, 35, 19, 43, 23, 47)(12, 36, 20, 44, 14, 38)(15, 39, 21, 45, 18, 42)(17, 41, 22, 46, 24, 48)(49, 73, 51, 75, 59, 83, 63, 87, 52, 76, 60, 84, 70, 94, 58, 82, 50, 74, 56, 80, 67, 91, 69, 93, 57, 81, 68, 92, 72, 96, 64, 88, 53, 77, 61, 85, 71, 95, 66, 90, 55, 79, 62, 86, 65, 89, 54, 78)
	L = (1, 52)(2, 57)(3, 60)(4, 50)(5, 55)(6, 63)(7, 49)(8, 68)(9, 53)(10, 69)(11, 70)(12, 56)(13, 62)(14, 51)(15, 58)(16, 66)(17, 59)(18, 54)(19, 72)(20, 61)(21, 64)(22, 67)(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) :: { ( 4, 16, 4, 16, 4, 16 ), ( 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16 ) }
Outer automorphisms :: reflexible
Dual of E13.292
Graph:: bipartite
	v = 9 e = 48 f = 15
	degree seq :: [ 6^8, 48 ]

E13.294 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 26, 26})
Quotient :: dipole
Aut^+ = C26 (small group id <26, 2>)
Aut   = D52 (small group id <52, 4>)
|r| :: 2
Presentation :: [ Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y1^2, R^2, (R * Y1)^2, (Y3^-1 * Y1)^2, (R * Y3)^2, Y2 * Y1 * Y2^-1 * Y1, (R * Y2 * Y3^-1)^2, Y2^13 * Y1, (Y3 * Y2^-1)^26 ]
Map::
	R = (1, 27, 2, 28)(3, 29, 5, 31)(4, 30, 6, 32)(7, 33, 9, 35)(8, 34, 10, 36)(11, 37, 13, 39)(12, 38, 14, 40)(15, 41, 17, 43)(16, 42, 18, 44)(19, 45, 21, 47)(20, 46, 22, 48)(23, 49, 25, 51)(24, 50, 26, 52)(53, 79, 55, 81, 59, 85, 63, 89, 67, 93, 71, 97, 75, 101, 78, 104, 74, 100, 70, 96, 66, 92, 62, 88, 58, 84, 54, 80, 57, 83, 61, 87, 65, 91, 69, 95, 73, 99, 77, 103, 76, 102, 72, 98, 68, 94, 64, 90, 60, 86, 56, 82)
	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) :: { ( 4, 52, 4, 52 ), ( 4, 52, 4, 52, 4, 52, 4, 52, 4, 52, 4, 52, 4, 52, 4, 52, 4, 52, 4, 52, 4, 52, 4, 52, 4, 52, 4, 52, 4, 52, 4, 52, 4, 52, 4, 52, 4, 52, 4, 52, 4, 52, 4, 52, 4, 52, 4, 52, 4, 52, 4, 52 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 14 e = 52 f = 14
	degree seq :: [ 4^13, 52 ]

E13.295 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {27, 27, 27})
Quotient :: edge
Aut^+ = C27 (small group id <27, 1>)
Aut   = D54 (small group id <54, 1>)
|r| :: 2
Presentation :: [ F^2, T2 * T1^2, (F * T2)^2, (F * T1)^2, T2^-13 * T1 ]
Map:: non-degenerate
	R = (1, 3, 7, 11, 15, 19, 23, 26, 22, 18, 14, 10, 6, 2, 4, 8, 12, 16, 20, 24, 27, 25, 21, 17, 13, 9, 5)(28, 29, 32, 33, 36, 37, 40, 41, 44, 45, 48, 49, 52, 53, 54, 50, 51, 46, 47, 42, 43, 38, 39, 34, 35, 30, 31)
	L = (1, 28)(2, 29)(3, 30)(4, 31)(5, 32)(6, 33)(7, 34)(8, 35)(9, 36)(10, 37)(11, 38)(12, 39)(13, 40)(14, 41)(15, 42)(16, 43)(17, 44)(18, 45)(19, 46)(20, 47)(21, 48)(22, 49)(23, 50)(24, 51)(25, 52)(26, 53)(27, 54)
	local type(s) :: { ( 54^27 ) }
Outer automorphisms :: reflexible
Dual of E13.299
Transitivity :: ET+
Graph:: bipartite
	v = 2 e = 27 f = 1
	degree seq :: [ 27^2 ]

E13.296 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {27, 27, 27})
Quotient :: edge
Aut^+ = C27 (small group id <27, 1>)
Aut   = D54 (small group id <54, 1>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, (T2^-1, T1^-1), T1^2 * T2^-1 * T1^2, T2^6 * T1^-1 * T2, T2 * T1 * T2^2 * T1 * T2^3 * T1, (T1^-1 * T2 * T1 * T2^2)^9 ]
Map:: non-degenerate
	R = (1, 3, 9, 17, 24, 16, 8, 2, 7, 15, 23, 26, 19, 11, 6, 14, 22, 27, 20, 12, 4, 10, 18, 25, 21, 13, 5)(28, 29, 33, 37, 30, 34, 41, 45, 36, 42, 49, 52, 44, 50, 54, 48, 51, 53, 47, 40, 43, 46, 39, 32, 35, 38, 31)
	L = (1, 28)(2, 29)(3, 30)(4, 31)(5, 32)(6, 33)(7, 34)(8, 35)(9, 36)(10, 37)(11, 38)(12, 39)(13, 40)(14, 41)(15, 42)(16, 43)(17, 44)(18, 45)(19, 46)(20, 47)(21, 48)(22, 49)(23, 50)(24, 51)(25, 52)(26, 53)(27, 54)
	local type(s) :: { ( 54^27 ) }
Outer automorphisms :: reflexible
Dual of E13.301
Transitivity :: ET+
Graph:: bipartite
	v = 2 e = 27 f = 1
	degree seq :: [ 27^2 ]

E13.297 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {27, 27, 27})
Quotient :: edge
Aut^+ = C27 (small group id <27, 1>)
Aut   = D54 (small group id <54, 1>)
|r| :: 2
Presentation :: [ F^2, (T1, T2), (F * T1)^2, (F * T2)^2, T2^-1 * T1^-5, T1 * T2^-1 * T1 * T2^-4, T1^-1 * T2^-2 * T1^3 * T2^-1 * T1^3 * T2^-1 * T1^3 * T2^-1 * T1^3 * T2^-1 * T1^3 * T2^-1 * T1^3 * T2^-1 * T1^3 * T2^-1 * T1^3 * T2^-1 * T1^3 * T2^-1 * T1^3 * T2^-1 * T1^3 * T2^-1 * T1^2 * T2^-2 * T1^-1 ]
Map:: non-degenerate
	R = (1, 3, 9, 19, 16, 6, 15, 25, 27, 22, 12, 4, 10, 20, 18, 8, 2, 7, 17, 26, 24, 14, 11, 21, 23, 13, 5)(28, 29, 33, 41, 39, 32, 35, 43, 51, 49, 40, 45, 46, 53, 54, 50, 47, 36, 44, 52, 48, 37, 30, 34, 42, 38, 31)
	L = (1, 28)(2, 29)(3, 30)(4, 31)(5, 32)(6, 33)(7, 34)(8, 35)(9, 36)(10, 37)(11, 38)(12, 39)(13, 40)(14, 41)(15, 42)(16, 43)(17, 44)(18, 45)(19, 46)(20, 47)(21, 48)(22, 49)(23, 50)(24, 51)(25, 52)(26, 53)(27, 54)
	local type(s) :: { ( 54^27 ) }
Outer automorphisms :: reflexible
Dual of E13.300
Transitivity :: ET+
Graph:: bipartite
	v = 2 e = 27 f = 1
	degree seq :: [ 27^2 ]

E13.298 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {27, 27, 27})
Quotient :: edge
Aut^+ = C27 (small group id <27, 1>)
Aut   = D54 (small group id <54, 1>)
|r| :: 2
Presentation :: [ F^2, (T2^-1, T1^-1), (F * T1)^2, (F * T2)^2, T2^-3 * T1^3, T2 * T1^8, T2^27, (T1^-1 * T2^-1)^27 ]
Map:: non-degenerate
	R = (1, 3, 9, 14, 23, 27, 20, 11, 18, 8, 2, 7, 17, 22, 25, 21, 12, 4, 10, 16, 6, 15, 24, 26, 19, 13, 5)(28, 29, 33, 41, 49, 53, 47, 39, 32, 35, 43, 36, 44, 51, 54, 48, 40, 45, 37, 30, 34, 42, 50, 52, 46, 38, 31)
	L = (1, 28)(2, 29)(3, 30)(4, 31)(5, 32)(6, 33)(7, 34)(8, 35)(9, 36)(10, 37)(11, 38)(12, 39)(13, 40)(14, 41)(15, 42)(16, 43)(17, 44)(18, 45)(19, 46)(20, 47)(21, 48)(22, 49)(23, 50)(24, 51)(25, 52)(26, 53)(27, 54)
	local type(s) :: { ( 54^27 ) }
Outer automorphisms :: reflexible
Dual of E13.302
Transitivity :: ET+
Graph:: bipartite
	v = 2 e = 27 f = 1
	degree seq :: [ 27^2 ]

E13.299 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {27, 27, 27})
Quotient :: loop
Aut^+ = C27 (small group id <27, 1>)
Aut   = D54 (small group id <54, 1>)
|r| :: 2
Presentation :: [ F^2, T2 * T1^-1, (F * T2)^2, (F * T1)^2, T1^27, T2^27, (T2^-1 * T1^-1)^27 ]
Map:: non-degenerate
	R = (1, 28, 2, 29, 6, 33, 14, 41, 22, 49, 27, 54, 21, 48, 13, 40, 18, 45, 10, 37, 3, 30, 7, 34, 15, 42, 23, 50, 26, 53, 20, 47, 12, 39, 5, 32, 8, 35, 16, 43, 9, 36, 17, 44, 24, 51, 25, 52, 19, 46, 11, 38, 4, 31)
	L = (1, 29)(2, 33)(3, 34)(4, 28)(5, 35)(6, 41)(7, 42)(8, 43)(9, 44)(10, 30)(11, 31)(12, 32)(13, 45)(14, 49)(15, 50)(16, 36)(17, 51)(18, 37)(19, 38)(20, 39)(21, 40)(22, 54)(23, 53)(24, 52)(25, 46)(26, 47)(27, 48)
	local type(s) :: { ( 27^54 ) }
Outer automorphisms :: reflexible
Dual of E13.295
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 27 f = 2
	degree seq :: [ 54 ]

E13.300 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {27, 27, 27})
Quotient :: loop
Aut^+ = C27 (small group id <27, 1>)
Aut   = D54 (small group id <54, 1>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, (T2^-1, T1^-1), T1^2 * T2^-1 * T1^2, T2^6 * T1^-1 * T2, T2 * T1 * T2^2 * T1 * T2^3 * T1, (T1^-1 * T2 * T1 * T2^2)^9 ]
Map:: non-degenerate
	R = (1, 28, 3, 30, 9, 36, 17, 44, 24, 51, 16, 43, 8, 35, 2, 29, 7, 34, 15, 42, 23, 50, 26, 53, 19, 46, 11, 38, 6, 33, 14, 41, 22, 49, 27, 54, 20, 47, 12, 39, 4, 31, 10, 37, 18, 45, 25, 52, 21, 48, 13, 40, 5, 32)
	L = (1, 29)(2, 33)(3, 34)(4, 28)(5, 35)(6, 37)(7, 41)(8, 38)(9, 42)(10, 30)(11, 31)(12, 32)(13, 43)(14, 45)(15, 49)(16, 46)(17, 50)(18, 36)(19, 39)(20, 40)(21, 51)(22, 52)(23, 54)(24, 53)(25, 44)(26, 47)(27, 48)
	local type(s) :: { ( 27^54 ) }
Outer automorphisms :: reflexible
Dual of E13.297
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 27 f = 2
	degree seq :: [ 54 ]

E13.301 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {27, 27, 27})
Quotient :: loop
Aut^+ = C27 (small group id <27, 1>)
Aut   = D54 (small group id <54, 1>)
|r| :: 2
Presentation :: [ F^2, (T1, T2), (F * T1)^2, (F * T2)^2, T2^-1 * T1^-5, T1 * T2^-1 * T1 * T2^-4, T1^-1 * T2^-2 * T1^3 * T2^-1 * T1^3 * T2^-1 * T1^3 * T2^-1 * T1^3 * T2^-1 * T1^3 * T2^-1 * T1^3 * T2^-1 * T1^3 * T2^-1 * T1^3 * T2^-1 * T1^3 * T2^-1 * T1^3 * T2^-1 * T1^3 * T2^-1 * T1^2 * T2^-2 * T1^-1 ]
Map:: non-degenerate
	R = (1, 28, 3, 30, 9, 36, 19, 46, 16, 43, 6, 33, 15, 42, 25, 52, 27, 54, 22, 49, 12, 39, 4, 31, 10, 37, 20, 47, 18, 45, 8, 35, 2, 29, 7, 34, 17, 44, 26, 53, 24, 51, 14, 41, 11, 38, 21, 48, 23, 50, 13, 40, 5, 32)
	L = (1, 29)(2, 33)(3, 34)(4, 28)(5, 35)(6, 41)(7, 42)(8, 43)(9, 44)(10, 30)(11, 31)(12, 32)(13, 45)(14, 39)(15, 38)(16, 51)(17, 52)(18, 46)(19, 53)(20, 36)(21, 37)(22, 40)(23, 47)(24, 49)(25, 48)(26, 54)(27, 50)
	local type(s) :: { ( 27^54 ) }
Outer automorphisms :: reflexible
Dual of E13.296
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 27 f = 2
	degree seq :: [ 54 ]

E13.302 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {27, 27, 27})
Quotient :: loop
Aut^+ = C27 (small group id <27, 1>)
Aut   = D54 (small group id <54, 1>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, (T2^-1, T1^-1), T2^3 * T1^-1 * T2, T1^2 * T2^-1 * T1^5, (T1^-1 * T2^-1)^27 ]
Map:: non-degenerate
	R = (1, 28, 3, 30, 9, 36, 8, 35, 2, 29, 7, 34, 17, 44, 16, 43, 6, 33, 15, 42, 25, 52, 24, 51, 14, 41, 23, 50, 26, 53, 19, 46, 22, 49, 27, 54, 20, 47, 11, 38, 18, 45, 21, 48, 12, 39, 4, 31, 10, 37, 13, 40, 5, 32)
	L = (1, 29)(2, 33)(3, 34)(4, 28)(5, 35)(6, 41)(7, 42)(8, 43)(9, 44)(10, 30)(11, 31)(12, 32)(13, 36)(14, 49)(15, 50)(16, 51)(17, 52)(18, 37)(19, 38)(20, 39)(21, 40)(22, 45)(23, 54)(24, 46)(25, 53)(26, 47)(27, 48)
	local type(s) :: { ( 27^54 ) }
Outer automorphisms :: reflexible
Dual of E13.298
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 27 f = 2
	degree seq :: [ 54 ]

E13.303 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {27, 27, 27})
Quotient :: dipole
Aut^+ = C27 (small group id <27, 1>)
Aut   = D54 (small group id <54, 1>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1^-1, Y1 * Y2^2, (R * Y2)^2, (R * Y3)^2, (R * Y1)^2, Y3^13 * Y2, Y2 * Y1^-13 ]
Map::
	R = (1, 28, 2, 29, 6, 33, 10, 37, 14, 41, 18, 45, 22, 49, 26, 53, 24, 51, 20, 47, 16, 43, 12, 39, 8, 35, 3, 30, 5, 32, 7, 34, 11, 38, 15, 42, 19, 46, 23, 50, 27, 54, 25, 52, 21, 48, 17, 44, 13, 40, 9, 36, 4, 31)(55, 82, 57, 84, 58, 85, 62, 89, 63, 90, 66, 93, 67, 94, 70, 97, 71, 98, 74, 101, 75, 102, 78, 105, 79, 106, 80, 107, 81, 108, 76, 103, 77, 104, 72, 99, 73, 100, 68, 95, 69, 96, 64, 91, 65, 92, 60, 87, 61, 88, 56, 83, 59, 86)
	L = (1, 58)(2, 55)(3, 62)(4, 63)(5, 57)(6, 56)(7, 59)(8, 66)(9, 67)(10, 60)(11, 61)(12, 70)(13, 71)(14, 64)(15, 65)(16, 74)(17, 75)(18, 68)(19, 69)(20, 78)(21, 79)(22, 72)(23, 73)(24, 80)(25, 81)(26, 76)(27, 77)(28, 82)(29, 83)(30, 84)(31, 85)(32, 86)(33, 87)(34, 88)(35, 89)(36, 90)(37, 91)(38, 92)(39, 93)(40, 94)(41, 95)(42, 96)(43, 97)(44, 98)(45, 99)(46, 100)(47, 101)(48, 102)(49, 103)(50, 104)(51, 105)(52, 106)(53, 107)(54, 108)
	local type(s) :: { ( 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54 ) }
Outer automorphisms :: reflexible
Dual of E13.307
Graph:: bipartite
	v = 2 e = 54 f = 28
	degree seq :: [ 54^2 ]

E13.304 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {27, 27, 27})
Quotient :: dipole
Aut^+ = C27 (small group id <27, 1>)
Aut   = D54 (small group id <54, 1>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1^-1, (R * Y3)^2, (R * Y2)^2, (Y3^-1, Y2^-1), (R * Y1)^2, (Y2^-1, Y1^-1), Y2 * Y3 * Y2^3, Y1^4 * Y2^-1 * Y3^-3, Y2 * Y3^3 * Y2 * Y3^3 * Y2 * Y3^3 * Y2 * Y3^3 * Y2 * Y3^3 * Y2, Y2^-1 * Y3^2 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 ]
Map::
	R = (1, 28, 2, 29, 6, 33, 14, 41, 22, 49, 18, 45, 10, 37, 3, 30, 7, 34, 15, 42, 23, 50, 27, 54, 21, 48, 13, 40, 9, 36, 17, 44, 25, 52, 26, 53, 20, 47, 12, 39, 5, 32, 8, 35, 16, 43, 24, 51, 19, 46, 11, 38, 4, 31)(55, 82, 57, 84, 63, 90, 62, 89, 56, 83, 61, 88, 71, 98, 70, 97, 60, 87, 69, 96, 79, 106, 78, 105, 68, 95, 77, 104, 80, 107, 73, 100, 76, 103, 81, 108, 74, 101, 65, 92, 72, 99, 75, 102, 66, 93, 58, 85, 64, 91, 67, 94, 59, 86)
	L = (1, 58)(2, 55)(3, 64)(4, 65)(5, 66)(6, 56)(7, 57)(8, 59)(9, 67)(10, 72)(11, 73)(12, 74)(13, 75)(14, 60)(15, 61)(16, 62)(17, 63)(18, 76)(19, 78)(20, 80)(21, 81)(22, 68)(23, 69)(24, 70)(25, 71)(26, 79)(27, 77)(28, 82)(29, 83)(30, 84)(31, 85)(32, 86)(33, 87)(34, 88)(35, 89)(36, 90)(37, 91)(38, 92)(39, 93)(40, 94)(41, 95)(42, 96)(43, 97)(44, 98)(45, 99)(46, 100)(47, 101)(48, 102)(49, 103)(50, 104)(51, 105)(52, 106)(53, 107)(54, 108)
	local type(s) :: { ( 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54 ) }
Outer automorphisms :: reflexible
Dual of E13.310
Graph:: bipartite
	v = 2 e = 54 f = 28
	degree seq :: [ 54^2 ]

E13.305 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {27, 27, 27})
Quotient :: dipole
Aut^+ = C27 (small group id <27, 1>)
Aut   = D54 (small group id <54, 1>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y3, (Y3^-1, Y2), (R * Y1)^2, (Y2^-1, Y1^-1), (Y3^-1, Y2^-1), (R * Y3)^2, (R * Y2)^2, Y2^-3 * Y1^-1 * Y2^-2, Y2^-2 * Y1^2 * Y3^-3, Y1^4 * Y2^-2 * Y3^-1, Y2^-1 * Y3 * Y2^-1 * Y3^3 * Y2^-1 * Y3^2, Y2^-1 * Y3 * Y1^-1 * Y2^-2 * Y3 * Y1^-1 * Y2^-2 * Y3 * Y1^-1 * Y2^-2 * Y3 * Y1^-1 * Y2^-2 * Y3 * Y1^-1 * Y2^-2 * Y3 * Y1^-1 * Y2^-2 * Y3 * Y1^-1 * Y2^-2 * Y3 * Y1^-1 * Y2^-2 * Y3 * Y1^-1 * Y2^-2 * Y3 * Y1^-1 * Y2^-2 * Y3 * Y1^-1 * Y2^-2 * Y3 * Y1^-1 * Y2^-2 * Y3 * Y1^-1 * Y2^-2 * Y3 ]
Map::
	R = (1, 28, 2, 29, 6, 33, 14, 41, 20, 47, 9, 36, 17, 44, 25, 52, 27, 54, 23, 50, 12, 39, 5, 32, 8, 35, 16, 43, 21, 48, 10, 37, 3, 30, 7, 34, 15, 42, 24, 51, 26, 53, 19, 46, 13, 40, 18, 45, 22, 49, 11, 38, 4, 31)(55, 82, 57, 84, 63, 90, 73, 100, 66, 93, 58, 85, 64, 91, 74, 101, 80, 107, 77, 104, 65, 92, 75, 102, 68, 95, 78, 105, 81, 108, 76, 103, 70, 97, 60, 87, 69, 96, 79, 106, 72, 99, 62, 89, 56, 83, 61, 88, 71, 98, 67, 94, 59, 86)
	L = (1, 58)(2, 55)(3, 64)(4, 65)(5, 66)(6, 56)(7, 57)(8, 59)(9, 74)(10, 75)(11, 76)(12, 77)(13, 73)(14, 60)(15, 61)(16, 62)(17, 63)(18, 67)(19, 80)(20, 68)(21, 70)(22, 72)(23, 81)(24, 69)(25, 71)(26, 78)(27, 79)(28, 82)(29, 83)(30, 84)(31, 85)(32, 86)(33, 87)(34, 88)(35, 89)(36, 90)(37, 91)(38, 92)(39, 93)(40, 94)(41, 95)(42, 96)(43, 97)(44, 98)(45, 99)(46, 100)(47, 101)(48, 102)(49, 103)(50, 104)(51, 105)(52, 106)(53, 107)(54, 108)
	local type(s) :: { ( 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54 ) }
Outer automorphisms :: reflexible
Dual of E13.309
Graph:: bipartite
	v = 2 e = 54 f = 28
	degree seq :: [ 54^2 ]

E13.306 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {27, 27, 27})
Quotient :: dipole
Aut^+ = C27 (small group id <27, 1>)
Aut   = D54 (small group id <54, 1>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1^-1, Y3 * Y1, (Y2^-1, Y1^-1), (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, Y2^3 * Y1^-3, Y2^3 * Y1 * Y2 * Y3^-1 * Y2 * Y3^-2, Y3^-1 * Y2^-1 * Y3^2 * Y2 * Y1 * Y2 * Y3^-1 * Y2^-1 * Y1^-1, Y1^27, 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 ]
Map::
	R = (1, 28, 2, 29, 6, 33, 14, 41, 22, 49, 27, 54, 21, 48, 13, 40, 18, 45, 10, 37, 3, 30, 7, 34, 15, 42, 23, 50, 26, 53, 20, 47, 12, 39, 5, 32, 8, 35, 16, 43, 9, 36, 17, 44, 24, 51, 25, 52, 19, 46, 11, 38, 4, 31)(55, 82, 57, 84, 63, 90, 68, 95, 77, 104, 79, 106, 75, 102, 66, 93, 58, 85, 64, 91, 70, 97, 60, 87, 69, 96, 78, 105, 81, 108, 74, 101, 65, 92, 72, 99, 62, 89, 56, 83, 61, 88, 71, 98, 76, 103, 80, 107, 73, 100, 67, 94, 59, 86)
	L = (1, 58)(2, 55)(3, 64)(4, 65)(5, 66)(6, 56)(7, 57)(8, 59)(9, 70)(10, 72)(11, 73)(12, 74)(13, 75)(14, 60)(15, 61)(16, 62)(17, 63)(18, 67)(19, 79)(20, 80)(21, 81)(22, 68)(23, 69)(24, 71)(25, 78)(26, 77)(27, 76)(28, 82)(29, 83)(30, 84)(31, 85)(32, 86)(33, 87)(34, 88)(35, 89)(36, 90)(37, 91)(38, 92)(39, 93)(40, 94)(41, 95)(42, 96)(43, 97)(44, 98)(45, 99)(46, 100)(47, 101)(48, 102)(49, 103)(50, 104)(51, 105)(52, 106)(53, 107)(54, 108)
	local type(s) :: { ( 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54 ) }
Outer automorphisms :: reflexible
Dual of E13.308
Graph:: bipartite
	v = 2 e = 54 f = 28
	degree seq :: [ 54^2 ]

E13.307 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {27, 27, 27})
Quotient :: dipole
Aut^+ = C27 (small group id <27, 1>)
Aut   = D54 (small group id <54, 1>)
|r| :: 2
Presentation :: [ Y1, R^2, Y2 * Y3, (R * Y3)^2, (R * Y1)^2, Y2^27, (Y3 * Y2^-1)^27, (Y3^-1 * Y1^-1)^27 ]
Map::
	R = (1, 28)(2, 29)(3, 30)(4, 31)(5, 32)(6, 33)(7, 34)(8, 35)(9, 36)(10, 37)(11, 38)(12, 39)(13, 40)(14, 41)(15, 42)(16, 43)(17, 44)(18, 45)(19, 46)(20, 47)(21, 48)(22, 49)(23, 50)(24, 51)(25, 52)(26, 53)(27, 54)(55, 82, 56, 83, 58, 85, 60, 87, 62, 89, 64, 91, 66, 93, 70, 97, 68, 95, 69, 96, 71, 98, 72, 99, 73, 100, 74, 101, 75, 102, 79, 106, 77, 104, 78, 105, 80, 107, 81, 108, 76, 103, 67, 94, 65, 92, 63, 90, 61, 88, 59, 86, 57, 84)
	L = (1, 57)(2, 55)(3, 59)(4, 56)(5, 61)(6, 58)(7, 63)(8, 60)(9, 65)(10, 62)(11, 67)(12, 64)(13, 76)(14, 70)(15, 68)(16, 66)(17, 69)(18, 71)(19, 72)(20, 73)(21, 74)(22, 81)(23, 79)(24, 77)(25, 75)(26, 78)(27, 80)(28, 82)(29, 83)(30, 84)(31, 85)(32, 86)(33, 87)(34, 88)(35, 89)(36, 90)(37, 91)(38, 92)(39, 93)(40, 94)(41, 95)(42, 96)(43, 97)(44, 98)(45, 99)(46, 100)(47, 101)(48, 102)(49, 103)(50, 104)(51, 105)(52, 106)(53, 107)(54, 108)
	local type(s) :: { ( 54, 54 ), ( 54^54 ) }
Outer automorphisms :: reflexible
Dual of E13.303
Graph:: bipartite
	v = 28 e = 54 f = 2
	degree seq :: [ 2^27, 54 ]

E13.308 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {27, 27, 27})
Quotient :: dipole
Aut^+ = C27 (small group id <27, 1>)
Aut   = D54 (small group id <54, 1>)
|r| :: 2
Presentation :: [ Y1, R^2, (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, (Y2, Y3^-1), Y3 * Y2^4, Y3^-5 * Y2^-1 * Y3^-2, Y2^-1 * Y3^2 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1, (Y3^-1 * Y1^-1)^27 ]
Map::
	R = (1, 28)(2, 29)(3, 30)(4, 31)(5, 32)(6, 33)(7, 34)(8, 35)(9, 36)(10, 37)(11, 38)(12, 39)(13, 40)(14, 41)(15, 42)(16, 43)(17, 44)(18, 45)(19, 46)(20, 47)(21, 48)(22, 49)(23, 50)(24, 51)(25, 52)(26, 53)(27, 54)(55, 82, 56, 83, 60, 87, 66, 93, 59, 86, 62, 89, 68, 95, 74, 101, 67, 94, 70, 97, 76, 103, 79, 106, 75, 102, 78, 105, 80, 107, 71, 98, 77, 104, 81, 108, 72, 99, 63, 90, 69, 96, 73, 100, 64, 91, 57, 84, 61, 88, 65, 92, 58, 85)
	L = (1, 57)(2, 61)(3, 63)(4, 64)(5, 55)(6, 65)(7, 69)(8, 56)(9, 71)(10, 72)(11, 73)(12, 58)(13, 59)(14, 60)(15, 77)(16, 62)(17, 79)(18, 80)(19, 81)(20, 66)(21, 67)(22, 68)(23, 75)(24, 70)(25, 74)(26, 76)(27, 78)(28, 82)(29, 83)(30, 84)(31, 85)(32, 86)(33, 87)(34, 88)(35, 89)(36, 90)(37, 91)(38, 92)(39, 93)(40, 94)(41, 95)(42, 96)(43, 97)(44, 98)(45, 99)(46, 100)(47, 101)(48, 102)(49, 103)(50, 104)(51, 105)(52, 106)(53, 107)(54, 108)
	local type(s) :: { ( 54, 54 ), ( 54^54 ) }
Outer automorphisms :: reflexible
Dual of E13.306
Graph:: bipartite
	v = 28 e = 54 f = 2
	degree seq :: [ 2^27, 54 ]

E13.309 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {27, 27, 27})
Quotient :: dipole
Aut^+ = C27 (small group id <27, 1>)
Aut   = D54 (small group id <54, 1>)
|r| :: 2
Presentation :: [ Y1, R^2, (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, (Y2, Y3^-1), Y3^-2 * Y2^-1 * Y3^-2, Y2^-2 * Y3^-1 * Y2^-5, Y2^-1 * Y3^2 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * 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)^27 ]
Map::
	R = (1, 28)(2, 29)(3, 30)(4, 31)(5, 32)(6, 33)(7, 34)(8, 35)(9, 36)(10, 37)(11, 38)(12, 39)(13, 40)(14, 41)(15, 42)(16, 43)(17, 44)(18, 45)(19, 46)(20, 47)(21, 48)(22, 49)(23, 50)(24, 51)(25, 52)(26, 53)(27, 54)(55, 82, 56, 83, 60, 87, 68, 95, 76, 103, 75, 102, 66, 93, 59, 86, 62, 89, 70, 97, 78, 105, 80, 107, 72, 99, 63, 90, 67, 94, 71, 98, 79, 106, 81, 108, 73, 100, 64, 91, 57, 84, 61, 88, 69, 96, 77, 104, 74, 101, 65, 92, 58, 85)
	L = (1, 57)(2, 61)(3, 63)(4, 64)(5, 55)(6, 69)(7, 67)(8, 56)(9, 66)(10, 72)(11, 73)(12, 58)(13, 59)(14, 77)(15, 71)(16, 60)(17, 62)(18, 75)(19, 80)(20, 81)(21, 65)(22, 74)(23, 79)(24, 68)(25, 70)(26, 76)(27, 78)(28, 82)(29, 83)(30, 84)(31, 85)(32, 86)(33, 87)(34, 88)(35, 89)(36, 90)(37, 91)(38, 92)(39, 93)(40, 94)(41, 95)(42, 96)(43, 97)(44, 98)(45, 99)(46, 100)(47, 101)(48, 102)(49, 103)(50, 104)(51, 105)(52, 106)(53, 107)(54, 108)
	local type(s) :: { ( 54, 54 ), ( 54^54 ) }
Outer automorphisms :: reflexible
Dual of E13.305
Graph:: bipartite
	v = 28 e = 54 f = 2
	degree seq :: [ 2^27, 54 ]

E13.310 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {27, 27, 27})
Quotient :: dipole
Aut^+ = C27 (small group id <27, 1>)
Aut   = D54 (small group id <54, 1>)
|r| :: 2
Presentation :: [ Y1, R^2, (R * Y2)^2, (R * Y3)^2, (R * Y1)^2, (Y2, Y3), Y3^-1 * Y2^-1 * Y3^-1 * Y2^-2 * Y3^-1, Y2^6 * Y3^-1 * Y2 * Y3^-1, Y3^6 * Y2^-1 * Y3^2, (Y3 * Y2^4)^9, (Y3^-1 * Y1^-1)^27 ]
Map::
	R = (1, 28)(2, 29)(3, 30)(4, 31)(5, 32)(6, 33)(7, 34)(8, 35)(9, 36)(10, 37)(11, 38)(12, 39)(13, 40)(14, 41)(15, 42)(16, 43)(17, 44)(18, 45)(19, 46)(20, 47)(21, 48)(22, 49)(23, 50)(24, 51)(25, 52)(26, 53)(27, 54)(55, 82, 56, 83, 60, 87, 68, 95, 76, 103, 81, 108, 74, 101, 63, 90, 71, 98, 66, 93, 59, 86, 62, 89, 70, 97, 77, 104, 79, 106, 75, 102, 64, 91, 57, 84, 61, 88, 69, 96, 67, 94, 72, 99, 78, 105, 80, 107, 73, 100, 65, 92, 58, 85)
	L = (1, 57)(2, 61)(3, 63)(4, 64)(5, 55)(6, 69)(7, 71)(8, 56)(9, 73)(10, 74)(11, 75)(12, 58)(13, 59)(14, 67)(15, 66)(16, 60)(17, 65)(18, 62)(19, 79)(20, 80)(21, 81)(22, 72)(23, 68)(24, 70)(25, 76)(26, 77)(27, 78)(28, 82)(29, 83)(30, 84)(31, 85)(32, 86)(33, 87)(34, 88)(35, 89)(36, 90)(37, 91)(38, 92)(39, 93)(40, 94)(41, 95)(42, 96)(43, 97)(44, 98)(45, 99)(46, 100)(47, 101)(48, 102)(49, 103)(50, 104)(51, 105)(52, 106)(53, 107)(54, 108)
	local type(s) :: { ( 54, 54 ), ( 54^54 ) }
Outer automorphisms :: reflexible
Dual of E13.304
Graph:: bipartite
	v = 28 e = 54 f = 2
	degree seq :: [ 2^27, 54 ]

E13.311 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 4, 7})
Quotient :: dipole
Aut^+ = C7 : C4 (small group id <28, 1>)
Aut   = (C14 x C2) : C2 (small group id <56, 7>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2 * Y1 * Y2, Y2 * Y3^-1 * Y2^-1 * Y3^-1, (R * Y1)^2, Y3 * Y1 * Y3^-1 * Y1, (R * Y3)^2, (R * Y2 * Y3^-1)^2, Y3^-7 * Y1 ]
Map:: non-degenerate
	R = (1, 29, 2, 30)(3, 31, 5, 33)(4, 32, 7, 35)(6, 34, 8, 36)(9, 37, 13, 41)(10, 38, 12, 40)(11, 39, 15, 43)(14, 42, 16, 44)(17, 45, 21, 49)(18, 46, 20, 48)(19, 47, 23, 51)(22, 50, 24, 52)(25, 53, 28, 56)(26, 54, 27, 55)(57, 85, 59, 87, 58, 86, 61, 89)(60, 88, 66, 94, 63, 91, 68, 96)(62, 90, 65, 93, 64, 92, 69, 97)(67, 95, 74, 102, 71, 99, 76, 104)(70, 98, 73, 101, 72, 100, 77, 105)(75, 103, 82, 110, 79, 107, 83, 111)(78, 106, 81, 109, 80, 108, 84, 112)
	L = (1, 60)(2, 63)(3, 65)(4, 67)(5, 69)(6, 57)(7, 71)(8, 58)(9, 73)(10, 59)(11, 75)(12, 61)(13, 77)(14, 62)(15, 79)(16, 64)(17, 81)(18, 66)(19, 80)(20, 68)(21, 84)(22, 70)(23, 78)(24, 72)(25, 83)(26, 74)(27, 76)(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, 14, 8, 14 ), ( 8, 14, 8, 14, 8, 14, 8, 14 ) }
Outer automorphisms :: reflexible
Dual of E13.312
Graph:: bipartite
	v = 21 e = 56 f = 11
	degree seq :: [ 4^14, 8^7 ]

E13.312 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 4, 7})
Quotient :: dipole
Aut^+ = C7 : C4 (small group id <28, 1>)
Aut   = (C14 x C2) : C2 (small group id <56, 7>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y2^-1 * Y3 * Y1^-1, Y2^-1 * Y3 * Y1^2, Y3 * Y1 * Y3 * Y1^-1, (Y3^-1 * Y2)^2, Y2 * Y3^-1 * Y1^-2, Y2 * Y1^-1 * Y3 * Y1^-1, Y3^2 * Y2^-2, (R * Y1)^2, Y2^-1 * Y1 * Y2^-1 * Y1^-1, (R * Y3)^2, (R * Y2)^2, Y3^2 * Y2^5 ]
Map:: non-degenerate
	R = (1, 29, 2, 30, 8, 36, 5, 33)(3, 31, 11, 39, 4, 32, 12, 40)(6, 34, 9, 37, 7, 35, 10, 38)(13, 41, 19, 47, 14, 42, 20, 48)(15, 43, 17, 45, 16, 44, 18, 46)(21, 49, 27, 55, 22, 50, 28, 56)(23, 51, 25, 53, 24, 52, 26, 54)(57, 85, 59, 87, 69, 97, 77, 105, 79, 107, 71, 99, 62, 90)(58, 86, 65, 93, 73, 101, 81, 109, 83, 111, 75, 103, 67, 95)(60, 88, 70, 98, 78, 106, 80, 108, 72, 100, 63, 91, 64, 92)(61, 89, 66, 94, 74, 102, 82, 110, 84, 112, 76, 104, 68, 96)
	L = (1, 60)(2, 66)(3, 70)(4, 69)(5, 65)(6, 64)(7, 57)(8, 59)(9, 74)(10, 73)(11, 61)(12, 58)(13, 78)(14, 77)(15, 63)(16, 62)(17, 82)(18, 81)(19, 68)(20, 67)(21, 80)(22, 79)(23, 72)(24, 71)(25, 84)(26, 83)(27, 76)(28, 75)(29, 85)(30, 86)(31, 87)(32, 88)(33, 89)(34, 90)(35, 91)(36, 92)(37, 93)(38, 94)(39, 95)(40, 96)(41, 97)(42, 98)(43, 99)(44, 100)(45, 101)(46, 102)(47, 103)(48, 104)(49, 105)(50, 106)(51, 107)(52, 108)(53, 109)(54, 110)(55, 111)(56, 112)
	local type(s) :: { ( 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 E13.311
Graph:: bipartite
	v = 11 e = 56 f = 21
	degree seq :: [ 8^7, 14^4 ]

E13.313 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 14, 14})
Quotient :: halfedge^2
Aut^+ = D28 (small group id <28, 3>)
Aut   = C2 x C2 x D14 (small group id <56, 12>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, Y3 * Y2, (R * Y1)^2, R * Y3 * R * Y2, (Y1^-1 * Y2)^2, Y1^14 ]
Map::
	R = (1, 30, 2, 33, 5, 37, 9, 41, 13, 45, 17, 49, 21, 53, 25, 52, 24, 48, 20, 44, 16, 40, 12, 36, 8, 32, 4, 29)(3, 35, 7, 39, 11, 43, 15, 47, 19, 51, 23, 55, 27, 56, 28, 54, 26, 50, 22, 46, 18, 42, 14, 38, 10, 34, 6, 31)
	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, 28)(29, 31)(30, 34)(32, 35)(33, 38)(36, 39)(37, 42)(40, 43)(41, 46)(44, 47)(45, 50)(48, 51)(49, 54)(52, 55)(53, 56)
	local type(s) :: { ( 28^28 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+ AT
Graph:: bipartite
	v = 2 e = 28 f = 2
	degree seq :: [ 28^2 ]

E13.314 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 14, 14})
Quotient :: halfedge^2
Aut^+ = D28 (small group id <28, 3>)
Aut   = C2 x C2 x D14 (small group id <56, 12>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, (Y2 * Y1^-1)^2, R * Y3 * R * Y2, (R * Y1)^2, (Y3 * Y1^-1)^2, Y3 * Y1 * Y2 * Y1^-3, Y1 * Y3 * Y1^-1 * Y2 * Y3 * Y2 * Y3 * Y2 ]
Map:: non-degenerate
	R = (1, 30, 2, 34, 6, 42, 14, 40, 12, 46, 18, 52, 24, 56, 28, 55, 27, 48, 20, 38, 10, 45, 17, 41, 13, 33, 5, 29)(3, 37, 9, 47, 19, 53, 25, 49, 21, 54, 26, 50, 22, 51, 23, 44, 16, 36, 8, 32, 4, 39, 11, 43, 15, 35, 7, 31)
	L = (1, 3)(2, 7)(4, 12)(5, 9)(6, 15)(8, 18)(10, 21)(11, 14)(13, 19)(16, 24)(17, 25)(20, 26)(22, 27)(23, 28)(29, 32)(30, 36)(31, 38)(33, 39)(34, 44)(35, 45)(37, 48)(40, 50)(41, 43)(42, 51)(46, 54)(47, 55)(49, 52)(53, 56)
	local type(s) :: { ( 28^28 ) }
Outer automorphisms :: reflexible
Dual of E13.315
Transitivity :: VT+ AT
Graph:: bipartite
	v = 2 e = 28 f = 2
	degree seq :: [ 28^2 ]

E13.315 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 14, 14})
Quotient :: halfedge^2
Aut^+ = D28 (small group id <28, 3>)
Aut   = C2 x C2 x D14 (small group id <56, 12>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, (Y3 * Y1^-1)^2, R * Y3 * R * Y2, (R * Y1)^2, (Y2 * Y1^-1)^2, Y1 * Y3 * Y1^-2 * Y2 * Y1, Y1 * Y2 * Y1^-1 * Y3 * Y2 * Y3 * Y2 * Y3 ]
Map:: non-degenerate
	R = (1, 30, 2, 34, 6, 42, 14, 38, 10, 45, 17, 52, 24, 56, 28, 55, 27, 49, 21, 40, 12, 46, 18, 41, 13, 33, 5, 29)(3, 37, 9, 44, 16, 36, 8, 32, 4, 39, 11, 48, 20, 54, 26, 50, 22, 53, 25, 47, 19, 51, 23, 43, 15, 35, 7, 31)
	L = (1, 3)(2, 7)(4, 12)(5, 9)(6, 15)(8, 18)(10, 19)(11, 21)(13, 16)(14, 23)(17, 25)(20, 27)(22, 24)(26, 28)(29, 32)(30, 36)(31, 38)(33, 39)(34, 44)(35, 45)(37, 42)(40, 50)(41, 48)(43, 52)(46, 54)(47, 55)(49, 53)(51, 56)
	local type(s) :: { ( 28^28 ) }
Outer automorphisms :: reflexible
Dual of E13.314
Transitivity :: VT+ AT
Graph:: bipartite
	v = 2 e = 28 f = 2
	degree seq :: [ 28^2 ]

E13.316 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 14, 14})
Quotient :: edge^2
Aut^+ = D28 (small group id <28, 3>)
Aut   = C2 x C2 x D14 (small group id <56, 12>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y1 * Y2, (R * Y3)^2, R * Y1 * R * Y2, (Y3 * Y2)^2, (Y3^-1 * Y1)^2, Y3^14 ]
Map::
	R = (1, 29, 3, 31, 7, 35, 11, 39, 15, 43, 19, 47, 23, 51, 27, 55, 24, 52, 20, 48, 16, 44, 12, 40, 8, 36, 4, 32)(2, 30, 5, 33, 9, 37, 13, 41, 17, 45, 21, 49, 25, 53, 28, 56, 26, 54, 22, 50, 18, 46, 14, 42, 10, 38, 6, 34)(57, 58)(59, 62)(60, 61)(63, 66)(64, 65)(67, 70)(68, 69)(71, 74)(72, 73)(75, 78)(76, 77)(79, 82)(80, 81)(83, 84)(85, 86)(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, 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, 56 ), ( 56^28 ) }
Outer automorphisms :: reflexible
Dual of E13.320
Graph:: simple bipartite
	v = 30 e = 56 f = 2
	degree seq :: [ 2^28, 28^2 ]

E13.317 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 14, 14})
Quotient :: edge^2
Aut^+ = D28 (small group id <28, 3>)
Aut   = C2 x C2 x D14 (small group id <56, 12>)
|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, Y3 * Y2 * Y3^-1 * Y1 * Y2 * Y1 * Y2 * Y1 ]
Map::
	R = (1, 29, 4, 32, 12, 40, 21, 49, 9, 37, 20, 48, 23, 51, 28, 56, 26, 54, 16, 44, 6, 34, 15, 43, 13, 41, 5, 33)(2, 30, 7, 35, 17, 45, 25, 53, 14, 42, 24, 52, 19, 47, 27, 55, 22, 50, 11, 39, 3, 31, 10, 38, 18, 46, 8, 36)(57, 58)(59, 65)(60, 64)(61, 63)(62, 70)(66, 77)(67, 76)(68, 74)(69, 73)(71, 81)(72, 80)(75, 82)(78, 79)(83, 84)(85, 87)(86, 90)(88, 95)(89, 94)(91, 100)(92, 99)(93, 103)(96, 106)(97, 102)(98, 107)(101, 110)(104, 108)(105, 111)(109, 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, 56 ), ( 56^28 ) }
Outer automorphisms :: reflexible
Dual of E13.322
Graph:: simple bipartite
	v = 30 e = 56 f = 2
	degree seq :: [ 2^28, 28^2 ]

E13.318 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 14, 14})
Quotient :: edge^2
Aut^+ = D28 (small group id <28, 3>)
Aut   = C2 x C2 x D14 (small group id <56, 12>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, (Y3^-1 * Y1)^2, R * Y2 * R * Y1, (R * Y3)^2, (Y3 * Y2)^2, Y3^-3 * Y1 * Y3 * Y2, Y1 * Y3^-2 * Y2 * Y1 * Y2 * Y1 * Y2, Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y1 * Y2 ]
Map::
	R = (1, 29, 4, 32, 12, 40, 16, 44, 6, 34, 15, 43, 26, 54, 28, 56, 23, 51, 21, 49, 9, 37, 20, 48, 13, 41, 5, 33)(2, 30, 7, 35, 17, 45, 11, 39, 3, 31, 10, 38, 22, 50, 27, 55, 19, 47, 25, 53, 14, 42, 24, 52, 18, 46, 8, 36)(57, 58)(59, 65)(60, 64)(61, 63)(62, 70)(66, 77)(67, 76)(68, 74)(69, 73)(71, 81)(72, 80)(75, 82)(78, 79)(83, 84)(85, 87)(86, 90)(88, 95)(89, 94)(91, 100)(92, 99)(93, 103)(96, 101)(97, 106)(98, 107)(102, 110)(104, 111)(105, 109)(108, 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, 56 ), ( 56^28 ) }
Outer automorphisms :: reflexible
Dual of E13.321
Graph:: simple bipartite
	v = 30 e = 56 f = 2
	degree seq :: [ 2^28, 28^2 ]

E13.319 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 14, 14})
Quotient :: edge^2
Aut^+ = D28 (small group id <28, 3>)
Aut   = C2 x C2 x D14 (small group id <56, 12>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2^-1 * Y1^-1, R * Y1 * R * Y2, (R * Y3)^2, Y3 * Y2 * Y3 * Y1^-1, Y1^14, Y2^14 ]
Map:: non-degenerate
	R = (1, 29, 4, 32)(2, 30, 6, 34)(3, 31, 8, 36)(5, 33, 10, 38)(7, 35, 12, 40)(9, 37, 14, 42)(11, 39, 16, 44)(13, 41, 18, 46)(15, 43, 20, 48)(17, 45, 22, 50)(19, 47, 24, 52)(21, 49, 26, 54)(23, 51, 27, 55)(25, 53, 28, 56)(57, 58, 61, 65, 69, 73, 77, 81, 79, 75, 71, 67, 63, 59)(60, 64, 68, 72, 76, 80, 83, 84, 82, 78, 74, 70, 66, 62)(85, 87, 91, 95, 99, 103, 107, 109, 105, 101, 97, 93, 89, 86)(88, 90, 94, 98, 102, 106, 110, 112, 111, 108, 104, 100, 96, 92)
	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) :: { ( 8^4 ), ( 8^14 ) }
Outer automorphisms :: reflexible
Dual of E13.323
Graph:: simple bipartite
	v = 18 e = 56 f = 14
	degree seq :: [ 4^14, 14^4 ]

E13.320 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 14, 14})
Quotient :: loop^2
Aut^+ = D28 (small group id <28, 3>)
Aut   = C2 x C2 x D14 (small group id <56, 12>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y1 * Y2, (R * Y3)^2, R * Y1 * R * Y2, (Y3 * Y2)^2, (Y3^-1 * Y1)^2, Y3^14 ]
Map::
	R = (1, 29, 57, 85, 3, 31, 59, 87, 7, 35, 63, 91, 11, 39, 67, 95, 15, 43, 71, 99, 19, 47, 75, 103, 23, 51, 79, 107, 27, 55, 83, 111, 24, 52, 80, 108, 20, 48, 76, 104, 16, 44, 72, 100, 12, 40, 68, 96, 8, 36, 64, 92, 4, 32, 60, 88)(2, 30, 58, 86, 5, 33, 61, 89, 9, 37, 65, 93, 13, 41, 69, 97, 17, 45, 73, 101, 21, 49, 77, 105, 25, 53, 81, 109, 28, 56, 84, 112, 26, 54, 82, 110, 22, 50, 78, 106, 18, 46, 74, 102, 14, 42, 70, 98, 10, 38, 66, 94, 6, 34, 62, 90)
	L = (1, 30)(2, 29)(3, 34)(4, 33)(5, 32)(6, 31)(7, 38)(8, 37)(9, 36)(10, 35)(11, 42)(12, 41)(13, 40)(14, 39)(15, 46)(16, 45)(17, 44)(18, 43)(19, 50)(20, 49)(21, 48)(22, 47)(23, 54)(24, 53)(25, 52)(26, 51)(27, 56)(28, 55)(57, 86)(58, 85)(59, 90)(60, 89)(61, 88)(62, 87)(63, 94)(64, 93)(65, 92)(66, 91)(67, 98)(68, 97)(69, 96)(70, 95)(71, 102)(72, 101)(73, 100)(74, 99)(75, 106)(76, 105)(77, 104)(78, 103)(79, 110)(80, 109)(81, 108)(82, 107)(83, 112)(84, 111)
	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 E13.316
Transitivity :: VT+
Graph:: bipartite
	v = 2 e = 56 f = 30
	degree seq :: [ 56^2 ]

E13.321 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 14, 14})
Quotient :: loop^2
Aut^+ = D28 (small group id <28, 3>)
Aut   = C2 x C2 x D14 (small group id <56, 12>)
|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, Y3 * Y2 * Y3^-1 * Y1 * Y2 * Y1 * Y2 * Y1 ]
Map::
	R = (1, 29, 57, 85, 4, 32, 60, 88, 12, 40, 68, 96, 21, 49, 77, 105, 9, 37, 65, 93, 20, 48, 76, 104, 23, 51, 79, 107, 28, 56, 84, 112, 26, 54, 82, 110, 16, 44, 72, 100, 6, 34, 62, 90, 15, 43, 71, 99, 13, 41, 69, 97, 5, 33, 61, 89)(2, 30, 58, 86, 7, 35, 63, 91, 17, 45, 73, 101, 25, 53, 81, 109, 14, 42, 70, 98, 24, 52, 80, 108, 19, 47, 75, 103, 27, 55, 83, 111, 22, 50, 78, 106, 11, 39, 67, 95, 3, 31, 59, 87, 10, 38, 66, 94, 18, 46, 74, 102, 8, 36, 64, 92)
	L = (1, 30)(2, 29)(3, 37)(4, 36)(5, 35)(6, 42)(7, 33)(8, 32)(9, 31)(10, 49)(11, 48)(12, 46)(13, 45)(14, 34)(15, 53)(16, 52)(17, 41)(18, 40)(19, 54)(20, 39)(21, 38)(22, 51)(23, 50)(24, 44)(25, 43)(26, 47)(27, 56)(28, 55)(57, 87)(58, 90)(59, 85)(60, 95)(61, 94)(62, 86)(63, 100)(64, 99)(65, 103)(66, 89)(67, 88)(68, 106)(69, 102)(70, 107)(71, 92)(72, 91)(73, 110)(74, 97)(75, 93)(76, 108)(77, 111)(78, 96)(79, 98)(80, 104)(81, 112)(82, 101)(83, 105)(84, 109)
	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 E13.318
Transitivity :: VT+
Graph:: bipartite
	v = 2 e = 56 f = 30
	degree seq :: [ 56^2 ]

E13.322 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 14, 14})
Quotient :: loop^2
Aut^+ = D28 (small group id <28, 3>)
Aut   = C2 x C2 x D14 (small group id <56, 12>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, (Y3^-1 * Y1)^2, R * Y2 * R * Y1, (R * Y3)^2, (Y3 * Y2)^2, Y3^-3 * Y1 * Y3 * Y2, Y1 * Y3^-2 * Y2 * Y1 * Y2 * Y1 * Y2, Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y1 * Y2 ]
Map::
	R = (1, 29, 57, 85, 4, 32, 60, 88, 12, 40, 68, 96, 16, 44, 72, 100, 6, 34, 62, 90, 15, 43, 71, 99, 26, 54, 82, 110, 28, 56, 84, 112, 23, 51, 79, 107, 21, 49, 77, 105, 9, 37, 65, 93, 20, 48, 76, 104, 13, 41, 69, 97, 5, 33, 61, 89)(2, 30, 58, 86, 7, 35, 63, 91, 17, 45, 73, 101, 11, 39, 67, 95, 3, 31, 59, 87, 10, 38, 66, 94, 22, 50, 78, 106, 27, 55, 83, 111, 19, 47, 75, 103, 25, 53, 81, 109, 14, 42, 70, 98, 24, 52, 80, 108, 18, 46, 74, 102, 8, 36, 64, 92)
	L = (1, 30)(2, 29)(3, 37)(4, 36)(5, 35)(6, 42)(7, 33)(8, 32)(9, 31)(10, 49)(11, 48)(12, 46)(13, 45)(14, 34)(15, 53)(16, 52)(17, 41)(18, 40)(19, 54)(20, 39)(21, 38)(22, 51)(23, 50)(24, 44)(25, 43)(26, 47)(27, 56)(28, 55)(57, 87)(58, 90)(59, 85)(60, 95)(61, 94)(62, 86)(63, 100)(64, 99)(65, 103)(66, 89)(67, 88)(68, 101)(69, 106)(70, 107)(71, 92)(72, 91)(73, 96)(74, 110)(75, 93)(76, 111)(77, 109)(78, 97)(79, 98)(80, 112)(81, 105)(82, 102)(83, 104)(84, 108)
	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 E13.317
Transitivity :: VT+
Graph:: bipartite
	v = 2 e = 56 f = 30
	degree seq :: [ 56^2 ]

E13.323 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 14, 14})
Quotient :: loop^2
Aut^+ = D28 (small group id <28, 3>)
Aut   = C2 x C2 x D14 (small group id <56, 12>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2^-1 * Y1^-1, R * Y1 * R * Y2, (R * Y3)^2, Y3 * Y2 * Y3 * Y1^-1, Y1^14, Y2^14 ]
Map:: non-degenerate
	R = (1, 29, 57, 85, 4, 32, 60, 88)(2, 30, 58, 86, 6, 34, 62, 90)(3, 31, 59, 87, 8, 36, 64, 92)(5, 33, 61, 89, 10, 38, 66, 94)(7, 35, 63, 91, 12, 40, 68, 96)(9, 37, 65, 93, 14, 42, 70, 98)(11, 39, 67, 95, 16, 44, 72, 100)(13, 41, 69, 97, 18, 46, 74, 102)(15, 43, 71, 99, 20, 48, 76, 104)(17, 45, 73, 101, 22, 50, 78, 106)(19, 47, 75, 103, 24, 52, 80, 108)(21, 49, 77, 105, 26, 54, 82, 110)(23, 51, 79, 107, 27, 55, 83, 111)(25, 53, 81, 109, 28, 56, 84, 112)
	L = (1, 30)(2, 33)(3, 29)(4, 36)(5, 37)(6, 32)(7, 31)(8, 40)(9, 41)(10, 34)(11, 35)(12, 44)(13, 45)(14, 38)(15, 39)(16, 48)(17, 49)(18, 42)(19, 43)(20, 52)(21, 53)(22, 46)(23, 47)(24, 55)(25, 51)(26, 50)(27, 56)(28, 54)(57, 87)(58, 85)(59, 91)(60, 90)(61, 86)(62, 94)(63, 95)(64, 88)(65, 89)(66, 98)(67, 99)(68, 92)(69, 93)(70, 102)(71, 103)(72, 96)(73, 97)(74, 106)(75, 107)(76, 100)(77, 101)(78, 110)(79, 109)(80, 104)(81, 105)(82, 112)(83, 108)(84, 111)
	local type(s) :: { ( 4, 14, 4, 14, 4, 14, 4, 14 ) }
Outer automorphisms :: reflexible
Dual of E13.319
Transitivity :: VT+
Graph:: bipartite
	v = 14 e = 56 f = 18
	degree seq :: [ 8^14 ]

E13.324 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 14, 14})
Quotient :: dipole
Aut^+ = C14 x C2 (small group id <28, 4>)
Aut   = C2 x C2 x D14 (small group id <56, 12>)
|r| :: 2
Presentation :: [ Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y1^2, R^2, (R * Y1)^2, (Y3^-1 * Y1)^2, (R * Y3)^2, Y2 * Y1 * Y2^-1 * Y1, (R * Y2 * Y3^-1)^2, Y2^14, (Y3 * Y2^-1)^14 ]
Map::
	R = (1, 29, 2, 30)(3, 31, 5, 33)(4, 32, 6, 34)(7, 35, 9, 37)(8, 36, 10, 38)(11, 39, 13, 41)(12, 40, 14, 42)(15, 43, 17, 45)(16, 44, 18, 46)(19, 47, 21, 49)(20, 48, 22, 50)(23, 51, 25, 53)(24, 52, 26, 54)(27, 55, 28, 56)(57, 85, 59, 87, 63, 91, 67, 95, 71, 99, 75, 103, 79, 107, 83, 111, 80, 108, 76, 104, 72, 100, 68, 96, 64, 92, 60, 88)(58, 86, 61, 89, 65, 93, 69, 97, 73, 101, 77, 105, 81, 109, 84, 112, 82, 110, 78, 106, 74, 102, 70, 98, 66, 94, 62, 90)
	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) :: { ( 4, 28, 4, 28 ), ( 4, 28, 4, 28, 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 = 16 e = 56 f = 16
	degree seq :: [ 4^14, 28^2 ]

E13.325 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 14, 14})
Quotient :: dipole
Aut^+ = D28 (small group id <28, 3>)
Aut   = C2 x C2 x D14 (small group id <56, 12>)
|r| :: 2
Presentation :: [ Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y1^2, R^2, (R * Y1)^2, (Y3^-1 * Y1)^2, (R * Y3)^2, (Y2^-1 * Y1)^2, (R * Y2 * Y3^-1)^2, Y2^14, (Y3 * Y2^-1)^14 ]
Map::
	R = (1, 29, 2, 30)(3, 31, 6, 34)(4, 32, 5, 33)(7, 35, 10, 38)(8, 36, 9, 37)(11, 39, 14, 42)(12, 40, 13, 41)(15, 43, 18, 46)(16, 44, 17, 45)(19, 47, 22, 50)(20, 48, 21, 49)(23, 51, 26, 54)(24, 52, 25, 53)(27, 55, 28, 56)(57, 85, 59, 87, 63, 91, 67, 95, 71, 99, 75, 103, 79, 107, 83, 111, 80, 108, 76, 104, 72, 100, 68, 96, 64, 92, 60, 88)(58, 86, 61, 89, 65, 93, 69, 97, 73, 101, 77, 105, 81, 109, 84, 112, 82, 110, 78, 106, 74, 102, 70, 98, 66, 94, 62, 90)
	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) :: { ( 4, 28, 4, 28 ), ( 4, 28, 4, 28, 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 = 16 e = 56 f = 16
	degree seq :: [ 4^14, 28^2 ]

E13.326 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 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, Y3^2, R^2, (Y2^-1 * R)^2, (R * Y3)^2, Y2^-1 * Y3 * Y2 * Y3, (Y3 * Y1)^2, (R * Y1)^2, Y2 * Y1 * Y2^-1 * Y1, Y2^7 * Y1 ]
Map:: non-degenerate
	R = (1, 29, 2, 30)(3, 31, 6, 34)(4, 32, 7, 35)(5, 33, 8, 36)(9, 37, 13, 41)(10, 38, 14, 42)(11, 39, 15, 43)(12, 40, 16, 44)(17, 45, 21, 49)(18, 46, 22, 50)(19, 47, 23, 51)(20, 48, 24, 52)(25, 53, 27, 55)(26, 54, 28, 56)(57, 85, 59, 87, 65, 93, 73, 101, 80, 108, 72, 100, 64, 92, 58, 86, 62, 90, 69, 97, 77, 105, 76, 104, 68, 96, 61, 89)(60, 88, 66, 94, 74, 102, 81, 109, 84, 112, 79, 107, 71, 99, 63, 91, 70, 98, 78, 106, 83, 111, 82, 110, 75, 103, 67, 95)
	L = (1, 60)(2, 63)(3, 66)(4, 57)(5, 67)(6, 70)(7, 58)(8, 71)(9, 74)(10, 59)(11, 61)(12, 75)(13, 78)(14, 62)(15, 64)(16, 79)(17, 81)(18, 65)(19, 68)(20, 82)(21, 83)(22, 69)(23, 72)(24, 84)(25, 73)(26, 76)(27, 77)(28, 80)(29, 85)(30, 86)(31, 87)(32, 88)(33, 89)(34, 90)(35, 91)(36, 92)(37, 93)(38, 94)(39, 95)(40, 96)(41, 97)(42, 98)(43, 99)(44, 100)(45, 101)(46, 102)(47, 103)(48, 104)(49, 105)(50, 106)(51, 107)(52, 108)(53, 109)(54, 110)(55, 111)(56, 112)
	local type(s) :: { ( 4, 28, 4, 28 ), ( 4, 28, 4, 28, 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 = 16 e = 56 f = 16
	degree seq :: [ 4^14, 28^2 ]

E13.327 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 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, Y3^2, R^2, (Y3 * Y1)^2, (Y2^-1 * R)^2, (R * Y3)^2, Y3 * Y2 * Y3 * Y2^-1, (R * Y1)^2, Y1 * Y2^-1 * Y1 * Y2, Y2^7 * Y1 * Y3 ]
Map:: non-degenerate
	R = (1, 29, 2, 30)(3, 31, 6, 34)(4, 32, 7, 35)(5, 33, 8, 36)(9, 37, 13, 41)(10, 38, 14, 42)(11, 39, 15, 43)(12, 40, 16, 44)(17, 45, 21, 49)(18, 46, 22, 50)(19, 47, 23, 51)(20, 48, 24, 52)(25, 53, 27, 55)(26, 54, 28, 56)(57, 85, 59, 87, 65, 93, 73, 101, 81, 109, 79, 107, 71, 99, 63, 91, 70, 98, 78, 106, 84, 112, 76, 104, 68, 96, 61, 89)(58, 86, 62, 90, 69, 97, 77, 105, 83, 111, 75, 103, 67, 95, 60, 88, 66, 94, 74, 102, 82, 110, 80, 108, 72, 100, 64, 92)
	L = (1, 60)(2, 63)(3, 66)(4, 57)(5, 67)(6, 70)(7, 58)(8, 71)(9, 74)(10, 59)(11, 61)(12, 75)(13, 78)(14, 62)(15, 64)(16, 79)(17, 82)(18, 65)(19, 68)(20, 83)(21, 84)(22, 69)(23, 72)(24, 81)(25, 80)(26, 73)(27, 76)(28, 77)(29, 85)(30, 86)(31, 87)(32, 88)(33, 89)(34, 90)(35, 91)(36, 92)(37, 93)(38, 94)(39, 95)(40, 96)(41, 97)(42, 98)(43, 99)(44, 100)(45, 101)(46, 102)(47, 103)(48, 104)(49, 105)(50, 106)(51, 107)(52, 108)(53, 109)(54, 110)(55, 111)(56, 112)
	local type(s) :: { ( 4, 28, 4, 28 ), ( 4, 28, 4, 28, 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 = 16 e = 56 f = 16
	degree seq :: [ 4^14, 28^2 ]

E13.328 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 14, 14})
Quotient :: dipole
Aut^+ = D28 (small group id <28, 3>)
Aut   = C2 x C2 x D14 (small group id <56, 12>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-2 * Y2^-2, Y3^2 * Y2^2, (Y3, Y2^-1), (R * Y3)^2, (R * Y1)^2, (Y3^-1 * Y2^-1)^2, (R * Y2)^2, (Y3^-1 * Y1)^2, (Y2^-1 * Y1)^2, Y3 * Y2^-6, Y3^7 ]
Map:: non-degenerate
	R = (1, 29, 2, 30)(3, 31, 9, 37)(4, 32, 10, 38)(5, 33, 7, 35)(6, 34, 8, 36)(11, 39, 19, 47)(12, 40, 17, 45)(13, 41, 20, 48)(14, 42, 16, 44)(15, 43, 18, 46)(21, 49, 28, 56)(22, 50, 27, 55)(23, 51, 26, 54)(24, 52, 25, 53)(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) :: { ( 4, 28, 4, 28 ), ( 4, 28, 4, 28, 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 E13.332
Graph:: bipartite
	v = 16 e = 56 f = 16
	degree seq :: [ 4^14, 28^2 ]

E13.329 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 14, 14})
Quotient :: dipole
Aut^+ = D28 (small group id <28, 3>)
Aut   = C2 x C2 x D14 (small group id <56, 12>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^2 * Y3^-1, (Y3^-1 * Y1)^2, (R * Y1)^2, (R * Y3)^2, (R * Y2)^2, (Y2 * Y1)^2, Y3^7 ]
Map:: non-degenerate
	R = (1, 29, 2, 30)(3, 31, 9, 37)(4, 32, 10, 38)(5, 33, 7, 35)(6, 34, 8, 36)(11, 39, 17, 45)(12, 40, 18, 46)(13, 41, 15, 43)(14, 42, 16, 44)(19, 47, 25, 53)(20, 48, 26, 54)(21, 49, 23, 51)(22, 50, 24, 52)(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) :: { ( 4, 28, 4, 28 ), ( 4, 28, 4, 28, 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 = 16 e = 56 f = 16
	degree seq :: [ 4^14, 28^2 ]

E13.330 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 14, 14})
Quotient :: dipole
Aut^+ = D28 (small group id <28, 3>)
Aut   = C2 x C2 x D14 (small group id <56, 12>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^2 * Y3, (Y3^-1 * Y1)^2, (R * Y3)^2, (R * Y2)^2, (R * Y1)^2, (Y2 * Y1)^2, Y3^7, (Y3^3 * Y2^-1)^2, (Y3 * Y2^-1)^14 ]
Map:: non-degenerate
	R = (1, 29, 2, 30)(3, 31, 9, 37)(4, 32, 10, 38)(5, 33, 7, 35)(6, 34, 8, 36)(11, 39, 17, 45)(12, 40, 18, 46)(13, 41, 15, 43)(14, 42, 16, 44)(19, 47, 25, 53)(20, 48, 26, 54)(21, 49, 23, 51)(22, 50, 24, 52)(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) :: { ( 4, 28, 4, 28 ), ( 4, 28, 4, 28, 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 E13.331
Graph:: bipartite
	v = 16 e = 56 f = 16
	degree seq :: [ 4^14, 28^2 ]

E13.331 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 14, 14})
Quotient :: dipole
Aut^+ = D28 (small group id <28, 3>)
Aut   = C2 x C2 x D14 (small group id <56, 12>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (Y3, Y2^-1), (R * Y3)^2, (R * Y1)^2, (Y3^-1 * Y1)^2, (Y2^-1 * Y1)^2, (R * Y2)^2, Y2^-2 * Y3^3, Y2 * Y3 * Y2^3, (Y2^-1 * Y3)^14 ]
Map:: non-degenerate
	R = (1, 29, 2, 30)(3, 31, 9, 37)(4, 32, 10, 38)(5, 33, 7, 35)(6, 34, 8, 36)(11, 39, 24, 52)(12, 40, 25, 53)(13, 41, 23, 51)(14, 42, 26, 54)(15, 43, 21, 49)(16, 44, 19, 47)(17, 45, 20, 48)(18, 46, 22, 50)(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) :: { ( 4, 28, 4, 28 ), ( 4, 28, 4, 28, 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 E13.330
Graph:: bipartite
	v = 16 e = 56 f = 16
	degree seq :: [ 4^14, 28^2 ]

E13.332 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 14, 14})
Quotient :: dipole
Aut^+ = D28 (small group id <28, 3>)
Aut   = C2 x C2 x D14 (small group id <56, 12>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (R * Y3)^2, (R * Y1)^2, (Y3, Y2), (Y3^-1 * Y1)^2, (R * Y2)^2, (Y2 * Y1)^2, Y2 * Y3^2 * Y2 * Y3, Y3^-1 * Y2^4 ]
Map:: non-degenerate
	R = (1, 29, 2, 30)(3, 31, 9, 37)(4, 32, 10, 38)(5, 33, 7, 35)(6, 34, 8, 36)(11, 39, 24, 52)(12, 40, 25, 53)(13, 41, 23, 51)(14, 42, 26, 54)(15, 43, 21, 49)(16, 44, 19, 47)(17, 45, 20, 48)(18, 46, 22, 50)(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) :: { ( 4, 28, 4, 28 ), ( 4, 28, 4, 28, 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 E13.328
Graph:: bipartite
	v = 16 e = 56 f = 16
	degree seq :: [ 4^14, 28^2 ]

E13.333 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {14, 28, 28})
Quotient :: edge
Aut^+ = C28 (small group id <28, 2>)
Aut   = D56 (small group id <56, 5>)
|r| :: 2
Presentation :: [ F^2, T2 * T1^-1 * T2, (F * T1)^2, (F * T2)^2, T1^14, (T2^-1 * T1^-1)^28 ]
Map:: non-degenerate
	R = (1, 3, 2, 7, 6, 11, 10, 15, 14, 19, 18, 23, 22, 27, 26, 28, 24, 25, 20, 21, 16, 17, 12, 13, 8, 9, 4, 5)(29, 30, 34, 38, 42, 46, 50, 54, 52, 48, 44, 40, 36, 32)(31, 35, 39, 43, 47, 51, 55, 56, 53, 49, 45, 41, 37, 33)
	L = (1, 29)(2, 30)(3, 31)(4, 32)(5, 33)(6, 34)(7, 35)(8, 36)(9, 37)(10, 38)(11, 39)(12, 40)(13, 41)(14, 42)(15, 43)(16, 44)(17, 45)(18, 46)(19, 47)(20, 48)(21, 49)(22, 50)(23, 51)(24, 52)(25, 53)(26, 54)(27, 55)(28, 56)
	local type(s) :: { ( 56^14 ), ( 56^28 ) }
Outer automorphisms :: reflexible
Dual of E13.343
Transitivity :: ET+
Graph:: bipartite
	v = 3 e = 28 f = 1
	degree seq :: [ 14^2, 28 ]

E13.334 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {14, 28, 28})
Quotient :: edge
Aut^+ = C28 (small group id <28, 2>)
Aut   = D56 (small group id <56, 5>)
|r| :: 2
Presentation :: [ F^2, T2^2 * T1, (F * T2)^2, (F * T1)^2, T1^14 ]
Map:: non-degenerate
	R = (1, 3, 4, 8, 9, 12, 13, 16, 17, 20, 21, 24, 25, 28, 26, 27, 22, 23, 18, 19, 14, 15, 10, 11, 6, 7, 2, 5)(29, 30, 34, 38, 42, 46, 50, 54, 53, 49, 45, 41, 37, 32)(31, 33, 35, 39, 43, 47, 51, 55, 56, 52, 48, 44, 40, 36)
	L = (1, 29)(2, 30)(3, 31)(4, 32)(5, 33)(6, 34)(7, 35)(8, 36)(9, 37)(10, 38)(11, 39)(12, 40)(13, 41)(14, 42)(15, 43)(16, 44)(17, 45)(18, 46)(19, 47)(20, 48)(21, 49)(22, 50)(23, 51)(24, 52)(25, 53)(26, 54)(27, 55)(28, 56)
	local type(s) :: { ( 56^14 ), ( 56^28 ) }
Outer automorphisms :: reflexible
Dual of E13.341
Transitivity :: ET+
Graph:: bipartite
	v = 3 e = 28 f = 1
	degree seq :: [ 14^2, 28 ]

E13.335 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {14, 28, 28})
Quotient :: edge
Aut^+ = C28 (small group id <28, 2>)
Aut   = D56 (small group id <56, 5>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, (T2^-1, T1^-1), T1 * T2^-1 * T1 * T2^-1 * T1, T1 * T2 * T1 * T2^7, T1^-2 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 ]
Map:: non-degenerate
	R = (1, 3, 9, 16, 22, 28, 23, 17, 11, 8, 2, 7, 15, 21, 27, 24, 18, 12, 4, 10, 6, 14, 20, 26, 25, 19, 13, 5)(29, 30, 34, 37, 43, 48, 50, 55, 53, 51, 46, 41, 39, 32)(31, 35, 42, 44, 49, 54, 56, 52, 47, 45, 40, 33, 36, 38)
	L = (1, 29)(2, 30)(3, 31)(4, 32)(5, 33)(6, 34)(7, 35)(8, 36)(9, 37)(10, 38)(11, 39)(12, 40)(13, 41)(14, 42)(15, 43)(16, 44)(17, 45)(18, 46)(19, 47)(20, 48)(21, 49)(22, 50)(23, 51)(24, 52)(25, 53)(26, 54)(27, 55)(28, 56)
	local type(s) :: { ( 56^14 ), ( 56^28 ) }
Outer automorphisms :: reflexible
Dual of E13.344
Transitivity :: ET+
Graph:: bipartite
	v = 3 e = 28 f = 1
	degree seq :: [ 14^2, 28 ]

E13.336 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {14, 28, 28})
Quotient :: edge
Aut^+ = C28 (small group id <28, 2>)
Aut   = D56 (small group id <56, 5>)
|r| :: 2
Presentation :: [ F^2, (T1^-1, T2), (F * T1)^2, (F * T2)^2, (T2^-1, T1), T2^2 * T1^3, T2^-8 * T1^2 ]
Map:: non-degenerate
	R = (1, 3, 9, 16, 22, 26, 20, 14, 6, 12, 4, 10, 17, 23, 27, 21, 15, 8, 2, 7, 11, 18, 24, 28, 25, 19, 13, 5)(29, 30, 34, 41, 43, 48, 53, 55, 50, 52, 45, 37, 39, 32)(31, 35, 40, 33, 36, 42, 47, 49, 54, 56, 51, 44, 46, 38)
	L = (1, 29)(2, 30)(3, 31)(4, 32)(5, 33)(6, 34)(7, 35)(8, 36)(9, 37)(10, 38)(11, 39)(12, 40)(13, 41)(14, 42)(15, 43)(16, 44)(17, 45)(18, 46)(19, 47)(20, 48)(21, 49)(22, 50)(23, 51)(24, 52)(25, 53)(26, 54)(27, 55)(28, 56)
	local type(s) :: { ( 56^14 ), ( 56^28 ) }
Outer automorphisms :: reflexible
Dual of E13.340
Transitivity :: ET+
Graph:: bipartite
	v = 3 e = 28 f = 1
	degree seq :: [ 14^2, 28 ]

E13.337 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {14, 28, 28})
Quotient :: edge
Aut^+ = C28 (small group id <28, 2>)
Aut   = D56 (small group id <56, 5>)
|r| :: 2
Presentation :: [ F^2, (T2^-1, T1), (F * T1)^2, (F * T2)^2, T2^6 * T1, T2 * T1^2 * T2 * T1^3, T2 * T1^-1 * T2 * T1^-1 * T2^2 * T1^-2 ]
Map:: non-degenerate
	R = (1, 3, 9, 19, 24, 12, 4, 10, 20, 26, 14, 23, 11, 21, 27, 16, 6, 15, 22, 28, 18, 8, 2, 7, 17, 25, 13, 5)(29, 30, 34, 42, 52, 41, 46, 55, 48, 37, 45, 50, 39, 32)(31, 35, 43, 51, 40, 33, 36, 44, 54, 47, 53, 56, 49, 38)
	L = (1, 29)(2, 30)(3, 31)(4, 32)(5, 33)(6, 34)(7, 35)(8, 36)(9, 37)(10, 38)(11, 39)(12, 40)(13, 41)(14, 42)(15, 43)(16, 44)(17, 45)(18, 46)(19, 47)(20, 48)(21, 49)(22, 50)(23, 51)(24, 52)(25, 53)(26, 54)(27, 55)(28, 56)
	local type(s) :: { ( 56^14 ), ( 56^28 ) }
Outer automorphisms :: reflexible
Dual of E13.342
Transitivity :: ET+
Graph:: bipartite
	v = 3 e = 28 f = 1
	degree seq :: [ 14^2, 28 ]

E13.338 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {14, 28, 28})
Quotient :: edge
Aut^+ = C28 (small group id <28, 2>)
Aut   = D56 (small group id <56, 5>)
|r| :: 2
Presentation :: [ F^2, T1^-2 * T2^-1 * T1^-1, (F * T1)^2, (F * T2)^2, T1 * T2^-9 ]
Map:: non-degenerate
	R = (1, 3, 9, 15, 21, 26, 20, 14, 8, 2, 7, 13, 19, 25, 28, 24, 18, 12, 6, 4, 10, 16, 22, 27, 23, 17, 11, 5)(29, 30, 34, 33, 36, 40, 39, 42, 46, 45, 48, 52, 51, 54, 56, 55, 49, 53, 50, 43, 47, 44, 37, 41, 38, 31, 35, 32)
	L = (1, 29)(2, 30)(3, 31)(4, 32)(5, 33)(6, 34)(7, 35)(8, 36)(9, 37)(10, 38)(11, 39)(12, 40)(13, 41)(14, 42)(15, 43)(16, 44)(17, 45)(18, 46)(19, 47)(20, 48)(21, 49)(22, 50)(23, 51)(24, 52)(25, 53)(26, 54)(27, 55)(28, 56)
	local type(s) :: { ( 28^28 ) }
Outer automorphisms :: reflexible
Dual of E13.345
Transitivity :: ET+
Graph:: bipartite
	v = 2 e = 28 f = 2
	degree seq :: [ 28^2 ]

E13.339 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {14, 28, 28})
Quotient :: edge
Aut^+ = C28 (small group id <28, 2>)
Aut   = D56 (small group id <56, 5>)
|r| :: 2
Presentation :: [ F^2, (T2^-1, T1), (F * T1)^2, (F * T2)^2, T2 * T1^2 * T2^-1 * T1^-2, T1^-5 * T2, T2 * T1^-1 * T2^4 * T1^-1 * T2, T1 * T2^-2 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-4 ]
Map:: non-degenerate
	R = (1, 3, 9, 19, 26, 16, 6, 15, 25, 22, 12, 4, 10, 20, 28, 18, 8, 2, 7, 17, 27, 21, 11, 14, 24, 23, 13, 5)(29, 30, 34, 42, 38, 31, 35, 43, 52, 48, 37, 45, 53, 51, 56, 47, 55, 50, 41, 46, 54, 49, 40, 33, 36, 44, 39, 32)
	L = (1, 29)(2, 30)(3, 31)(4, 32)(5, 33)(6, 34)(7, 35)(8, 36)(9, 37)(10, 38)(11, 39)(12, 40)(13, 41)(14, 42)(15, 43)(16, 44)(17, 45)(18, 46)(19, 47)(20, 48)(21, 49)(22, 50)(23, 51)(24, 52)(25, 53)(26, 54)(27, 55)(28, 56)
	local type(s) :: { ( 28^28 ) }
Outer automorphisms :: reflexible
Dual of E13.346
Transitivity :: ET+
Graph:: bipartite
	v = 2 e = 28 f = 2
	degree seq :: [ 28^2 ]

E13.340 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {14, 28, 28})
Quotient :: loop
Aut^+ = C28 (small group id <28, 2>)
Aut   = D56 (small group id <56, 5>)
|r| :: 2
Presentation :: [ F^2, T2 * T1^-1 * T2, (F * T1)^2, (F * T2)^2, T1^14, (T2^-1 * T1^-1)^28 ]
Map:: non-degenerate
	R = (1, 29, 3, 31, 2, 30, 7, 35, 6, 34, 11, 39, 10, 38, 15, 43, 14, 42, 19, 47, 18, 46, 23, 51, 22, 50, 27, 55, 26, 54, 28, 56, 24, 52, 25, 53, 20, 48, 21, 49, 16, 44, 17, 45, 12, 40, 13, 41, 8, 36, 9, 37, 4, 32, 5, 33)
	L = (1, 30)(2, 34)(3, 35)(4, 29)(5, 31)(6, 38)(7, 39)(8, 32)(9, 33)(10, 42)(11, 43)(12, 36)(13, 37)(14, 46)(15, 47)(16, 40)(17, 41)(18, 50)(19, 51)(20, 44)(21, 45)(22, 54)(23, 55)(24, 48)(25, 49)(26, 52)(27, 56)(28, 53)
	local type(s) :: { ( 14, 28, 14, 28, 14, 28, 14, 28, 14, 28, 14, 28, 14, 28, 14, 28, 14, 28, 14, 28, 14, 28, 14, 28, 14, 28, 14, 28, 14, 28, 14, 28, 14, 28, 14, 28, 14, 28, 14, 28, 14, 28, 14, 28, 14, 28, 14, 28, 14, 28, 14, 28, 14, 28, 14, 28 ) }
Outer automorphisms :: reflexible
Dual of E13.336
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 28 f = 3
	degree seq :: [ 56 ]

E13.341 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {14, 28, 28})
Quotient :: loop
Aut^+ = C28 (small group id <28, 2>)
Aut   = D56 (small group id <56, 5>)
|r| :: 2
Presentation :: [ F^2, T2^2 * T1, (F * T2)^2, (F * T1)^2, T1^14 ]
Map:: non-degenerate
	R = (1, 29, 3, 31, 4, 32, 8, 36, 9, 37, 12, 40, 13, 41, 16, 44, 17, 45, 20, 48, 21, 49, 24, 52, 25, 53, 28, 56, 26, 54, 27, 55, 22, 50, 23, 51, 18, 46, 19, 47, 14, 42, 15, 43, 10, 38, 11, 39, 6, 34, 7, 35, 2, 30, 5, 33)
	L = (1, 30)(2, 34)(3, 33)(4, 29)(5, 35)(6, 38)(7, 39)(8, 31)(9, 32)(10, 42)(11, 43)(12, 36)(13, 37)(14, 46)(15, 47)(16, 40)(17, 41)(18, 50)(19, 51)(20, 44)(21, 45)(22, 54)(23, 55)(24, 48)(25, 49)(26, 53)(27, 56)(28, 52)
	local type(s) :: { ( 14, 28, 14, 28, 14, 28, 14, 28, 14, 28, 14, 28, 14, 28, 14, 28, 14, 28, 14, 28, 14, 28, 14, 28, 14, 28, 14, 28, 14, 28, 14, 28, 14, 28, 14, 28, 14, 28, 14, 28, 14, 28, 14, 28, 14, 28, 14, 28, 14, 28, 14, 28, 14, 28, 14, 28 ) }
Outer automorphisms :: reflexible
Dual of E13.334
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 28 f = 3
	degree seq :: [ 56 ]

E13.342 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {14, 28, 28})
Quotient :: loop
Aut^+ = C28 (small group id <28, 2>)
Aut   = D56 (small group id <56, 5>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, (T2^-1, T1^-1), T1 * T2^-1 * T1 * T2^-1 * T1, T1 * T2 * T1 * T2^7, T1^-2 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 ]
Map:: non-degenerate
	R = (1, 29, 3, 31, 9, 37, 16, 44, 22, 50, 28, 56, 23, 51, 17, 45, 11, 39, 8, 36, 2, 30, 7, 35, 15, 43, 21, 49, 27, 55, 24, 52, 18, 46, 12, 40, 4, 32, 10, 38, 6, 34, 14, 42, 20, 48, 26, 54, 25, 53, 19, 47, 13, 41, 5, 33)
	L = (1, 30)(2, 34)(3, 35)(4, 29)(5, 36)(6, 37)(7, 42)(8, 38)(9, 43)(10, 31)(11, 32)(12, 33)(13, 39)(14, 44)(15, 48)(16, 49)(17, 40)(18, 41)(19, 45)(20, 50)(21, 54)(22, 55)(23, 46)(24, 47)(25, 51)(26, 56)(27, 53)(28, 52)
	local type(s) :: { ( 14, 28, 14, 28, 14, 28, 14, 28, 14, 28, 14, 28, 14, 28, 14, 28, 14, 28, 14, 28, 14, 28, 14, 28, 14, 28, 14, 28, 14, 28, 14, 28, 14, 28, 14, 28, 14, 28, 14, 28, 14, 28, 14, 28, 14, 28, 14, 28, 14, 28, 14, 28, 14, 28, 14, 28 ) }
Outer automorphisms :: reflexible
Dual of E13.337
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 28 f = 3
	degree seq :: [ 56 ]

E13.343 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {14, 28, 28})
Quotient :: loop
Aut^+ = C28 (small group id <28, 2>)
Aut   = D56 (small group id <56, 5>)
|r| :: 2
Presentation :: [ F^2, (T1^-1, T2), (F * T1)^2, (F * T2)^2, (T2^-1, T1), T2^2 * T1^3, T2^-8 * T1^2 ]
Map:: non-degenerate
	R = (1, 29, 3, 31, 9, 37, 16, 44, 22, 50, 26, 54, 20, 48, 14, 42, 6, 34, 12, 40, 4, 32, 10, 38, 17, 45, 23, 51, 27, 55, 21, 49, 15, 43, 8, 36, 2, 30, 7, 35, 11, 39, 18, 46, 24, 52, 28, 56, 25, 53, 19, 47, 13, 41, 5, 33)
	L = (1, 30)(2, 34)(3, 35)(4, 29)(5, 36)(6, 41)(7, 40)(8, 42)(9, 39)(10, 31)(11, 32)(12, 33)(13, 43)(14, 47)(15, 48)(16, 46)(17, 37)(18, 38)(19, 49)(20, 53)(21, 54)(22, 52)(23, 44)(24, 45)(25, 55)(26, 56)(27, 50)(28, 51)
	local type(s) :: { ( 14, 28, 14, 28, 14, 28, 14, 28, 14, 28, 14, 28, 14, 28, 14, 28, 14, 28, 14, 28, 14, 28, 14, 28, 14, 28, 14, 28, 14, 28, 14, 28, 14, 28, 14, 28, 14, 28, 14, 28, 14, 28, 14, 28, 14, 28, 14, 28, 14, 28, 14, 28, 14, 28, 14, 28 ) }
Outer automorphisms :: reflexible
Dual of E13.333
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 28 f = 3
	degree seq :: [ 56 ]

E13.344 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {14, 28, 28})
Quotient :: loop
Aut^+ = C28 (small group id <28, 2>)
Aut   = D56 (small group id <56, 5>)
|r| :: 2
Presentation :: [ F^2, (T2^-1, T1), (F * T1)^2, (F * T2)^2, T2^6 * T1, T2 * T1^2 * T2 * T1^3, T2 * T1^-1 * T2 * T1^-1 * T2^2 * T1^-2 ]
Map:: non-degenerate
	R = (1, 29, 3, 31, 9, 37, 19, 47, 24, 52, 12, 40, 4, 32, 10, 38, 20, 48, 26, 54, 14, 42, 23, 51, 11, 39, 21, 49, 27, 55, 16, 44, 6, 34, 15, 43, 22, 50, 28, 56, 18, 46, 8, 36, 2, 30, 7, 35, 17, 45, 25, 53, 13, 41, 5, 33)
	L = (1, 30)(2, 34)(3, 35)(4, 29)(5, 36)(6, 42)(7, 43)(8, 44)(9, 45)(10, 31)(11, 32)(12, 33)(13, 46)(14, 52)(15, 51)(16, 54)(17, 50)(18, 55)(19, 53)(20, 37)(21, 38)(22, 39)(23, 40)(24, 41)(25, 56)(26, 47)(27, 48)(28, 49)
	local type(s) :: { ( 14, 28, 14, 28, 14, 28, 14, 28, 14, 28, 14, 28, 14, 28, 14, 28, 14, 28, 14, 28, 14, 28, 14, 28, 14, 28, 14, 28, 14, 28, 14, 28, 14, 28, 14, 28, 14, 28, 14, 28, 14, 28, 14, 28, 14, 28, 14, 28, 14, 28, 14, 28, 14, 28, 14, 28 ) }
Outer automorphisms :: reflexible
Dual of E13.335
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 28 f = 3
	degree seq :: [ 56 ]

E13.345 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {14, 28, 28})
Quotient :: loop
Aut^+ = C28 (small group id <28, 2>)
Aut   = D56 (small group id <56, 5>)
|r| :: 2
Presentation :: [ F^2, T1^-2 * T2, (F * T2)^2, (F * T1)^2, T2^14, (T2^-1 * T1^-1)^28 ]
Map:: non-degenerate
	R = (1, 29, 3, 31, 7, 35, 11, 39, 15, 43, 19, 47, 23, 51, 27, 55, 25, 53, 21, 49, 17, 45, 13, 41, 9, 37, 5, 33)(2, 30, 6, 34, 10, 38, 14, 42, 18, 46, 22, 50, 26, 54, 28, 56, 24, 52, 20, 48, 16, 44, 12, 40, 8, 36, 4, 32)
	L = (1, 30)(2, 31)(3, 34)(4, 29)(5, 32)(6, 35)(7, 38)(8, 33)(9, 36)(10, 39)(11, 42)(12, 37)(13, 40)(14, 43)(15, 46)(16, 41)(17, 44)(18, 47)(19, 50)(20, 45)(21, 48)(22, 51)(23, 54)(24, 49)(25, 52)(26, 55)(27, 56)(28, 53)
	local type(s) :: { ( 28^28 ) }
Outer automorphisms :: reflexible
Dual of E13.338
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 2 e = 28 f = 2
	degree seq :: [ 28^2 ]

E13.346 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {14, 28, 28})
Quotient :: loop
Aut^+ = C28 (small group id <28, 2>)
Aut   = D56 (small group id <56, 5>)
|r| :: 2
Presentation :: [ F^2, (T2^-1, T1), (F * T1)^2, (F * T2)^2, T2 * T1 * T2^4 * T1, T1 * T2 * T1^5, T2^-1 * T1^2 * T2^-1 * T1^2 * T2^-2, T2^2 * T1^-1 * T2^2 * T1^-3 ]
Map:: non-degenerate
	R = (1, 29, 3, 31, 9, 37, 19, 47, 23, 51, 11, 39, 21, 49, 27, 55, 16, 44, 6, 34, 15, 43, 25, 53, 13, 41, 5, 33)(2, 30, 7, 35, 17, 45, 24, 52, 12, 40, 4, 32, 10, 38, 20, 48, 26, 54, 14, 42, 22, 50, 28, 56, 18, 46, 8, 36)
	L = (1, 30)(2, 34)(3, 35)(4, 29)(5, 36)(6, 42)(7, 43)(8, 44)(9, 45)(10, 31)(11, 32)(12, 33)(13, 46)(14, 51)(15, 50)(16, 54)(17, 53)(18, 55)(19, 52)(20, 37)(21, 38)(22, 39)(23, 40)(24, 41)(25, 56)(26, 47)(27, 48)(28, 49)
	local type(s) :: { ( 28^28 ) }
Outer automorphisms :: reflexible
Dual of E13.339
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 2 e = 28 f = 2
	degree seq :: [ 28^2 ]

E13.347 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {14, 28, 28})
Quotient :: dipole
Aut^+ = C28 (small group id <28, 2>)
Aut   = D56 (small group id <56, 5>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1^-1, Y2^2 * Y3^-1, (R * Y2)^2, (R * Y3)^2, (R * Y1)^2, Y3^14, Y1^14 ]
Map::
	R = (1, 29, 2, 30, 6, 34, 10, 38, 14, 42, 18, 46, 22, 50, 26, 54, 25, 53, 21, 49, 17, 45, 13, 41, 9, 37, 4, 32)(3, 31, 5, 33, 7, 35, 11, 39, 15, 43, 19, 47, 23, 51, 27, 55, 28, 56, 24, 52, 20, 48, 16, 44, 12, 40, 8, 36)(57, 85, 59, 87, 60, 88, 64, 92, 65, 93, 68, 96, 69, 97, 72, 100, 73, 101, 76, 104, 77, 105, 80, 108, 81, 109, 84, 112, 82, 110, 83, 111, 78, 106, 79, 107, 74, 102, 75, 103, 70, 98, 71, 99, 66, 94, 67, 95, 62, 90, 63, 91, 58, 86, 61, 89)
	L = (1, 60)(2, 57)(3, 64)(4, 65)(5, 59)(6, 58)(7, 61)(8, 68)(9, 69)(10, 62)(11, 63)(12, 72)(13, 73)(14, 66)(15, 67)(16, 76)(17, 77)(18, 70)(19, 71)(20, 80)(21, 81)(22, 74)(23, 75)(24, 84)(25, 82)(26, 78)(27, 79)(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) :: { ( 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56 ), ( 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 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 E13.357
Graph:: bipartite
	v = 3 e = 56 f = 29
	degree seq :: [ 28^2, 56 ]

E13.348 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {14, 28, 28})
Quotient :: dipole
Aut^+ = C28 (small group id <28, 2>)
Aut   = D56 (small group id <56, 5>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1^-1, Y1 * Y2^-2, (R * Y1)^2, (R * Y3)^2, (R * Y2)^2, (Y2, Y3^-1), Y3^-6 * Y1^2 * Y3^-6, Y3^2 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * 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, 29, 2, 30, 6, 34, 10, 38, 14, 42, 18, 46, 22, 50, 26, 54, 24, 52, 20, 48, 16, 44, 12, 40, 8, 36, 4, 32)(3, 31, 7, 35, 11, 39, 15, 43, 19, 47, 23, 51, 27, 55, 28, 56, 25, 53, 21, 49, 17, 45, 13, 41, 9, 37, 5, 33)(57, 85, 59, 87, 58, 86, 63, 91, 62, 90, 67, 95, 66, 94, 71, 99, 70, 98, 75, 103, 74, 102, 79, 107, 78, 106, 83, 111, 82, 110, 84, 112, 80, 108, 81, 109, 76, 104, 77, 105, 72, 100, 73, 101, 68, 96, 69, 97, 64, 92, 65, 93, 60, 88, 61, 89)
	L = (1, 60)(2, 57)(3, 61)(4, 64)(5, 65)(6, 58)(7, 59)(8, 68)(9, 69)(10, 62)(11, 63)(12, 72)(13, 73)(14, 66)(15, 67)(16, 76)(17, 77)(18, 70)(19, 71)(20, 80)(21, 81)(22, 74)(23, 75)(24, 82)(25, 84)(26, 78)(27, 79)(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) :: { ( 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56 ), ( 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 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 E13.359
Graph:: bipartite
	v = 3 e = 56 f = 29
	degree seq :: [ 28^2, 56 ]

E13.349 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {14, 28, 28})
Quotient :: dipole
Aut^+ = C28 (small group id <28, 2>)
Aut   = D56 (small group id <56, 5>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y1, (R * Y3)^2, (Y3^-1, Y2^-1), (Y2^-1, Y1^-1), (R * Y2)^2, (R * Y1)^2, Y1^2 * Y2 * Y1 * Y2 * Y3^-2, Y2^6 * Y1, Y2 * Y1 * Y2 * Y1 * Y3^-3, Y2^2 * Y3 * Y2^2 * 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 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 ]
Map::
	R = (1, 29, 2, 30, 6, 34, 14, 42, 24, 52, 13, 41, 18, 46, 27, 55, 20, 48, 9, 37, 17, 45, 22, 50, 11, 39, 4, 32)(3, 31, 7, 35, 15, 43, 23, 51, 12, 40, 5, 33, 8, 36, 16, 44, 26, 54, 19, 47, 25, 53, 28, 56, 21, 49, 10, 38)(57, 85, 59, 87, 65, 93, 75, 103, 80, 108, 68, 96, 60, 88, 66, 94, 76, 104, 82, 110, 70, 98, 79, 107, 67, 95, 77, 105, 83, 111, 72, 100, 62, 90, 71, 99, 78, 106, 84, 112, 74, 102, 64, 92, 58, 86, 63, 91, 73, 101, 81, 109, 69, 97, 61, 89)
	L = (1, 60)(2, 57)(3, 66)(4, 67)(5, 68)(6, 58)(7, 59)(8, 61)(9, 76)(10, 77)(11, 78)(12, 79)(13, 80)(14, 62)(15, 63)(16, 64)(17, 65)(18, 69)(19, 82)(20, 83)(21, 84)(22, 73)(23, 71)(24, 70)(25, 75)(26, 72)(27, 74)(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) :: { ( 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56 ), ( 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 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 E13.358
Graph:: bipartite
	v = 3 e = 56 f = 29
	degree seq :: [ 28^2, 56 ]

E13.350 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {14, 28, 28})
Quotient :: dipole
Aut^+ = C28 (small group id <28, 2>)
Aut   = D56 (small group id <56, 5>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y3^-1, (Y3^-1, Y2^-1), (R * Y1)^2, (R * Y2)^2, (R * Y3)^2, (Y2^-1, Y1^-1), Y1 * Y2 * Y1 * Y2 * Y3^-1, Y2^3 * Y3 * Y2^5 * Y1^-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 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 ]
Map::
	R = (1, 29, 2, 30, 6, 34, 13, 41, 15, 43, 20, 48, 25, 53, 27, 55, 22, 50, 24, 52, 17, 45, 9, 37, 11, 39, 4, 32)(3, 31, 7, 35, 12, 40, 5, 33, 8, 36, 14, 42, 19, 47, 21, 49, 26, 54, 28, 56, 23, 51, 16, 44, 18, 46, 10, 38)(57, 85, 59, 87, 65, 93, 72, 100, 78, 106, 82, 110, 76, 104, 70, 98, 62, 90, 68, 96, 60, 88, 66, 94, 73, 101, 79, 107, 83, 111, 77, 105, 71, 99, 64, 92, 58, 86, 63, 91, 67, 95, 74, 102, 80, 108, 84, 112, 81, 109, 75, 103, 69, 97, 61, 89)
	L = (1, 60)(2, 57)(3, 66)(4, 67)(5, 68)(6, 58)(7, 59)(8, 61)(9, 73)(10, 74)(11, 65)(12, 63)(13, 62)(14, 64)(15, 69)(16, 79)(17, 80)(18, 72)(19, 70)(20, 71)(21, 75)(22, 83)(23, 84)(24, 78)(25, 76)(26, 77)(27, 81)(28, 82)(29, 85)(30, 86)(31, 87)(32, 88)(33, 89)(34, 90)(35, 91)(36, 92)(37, 93)(38, 94)(39, 95)(40, 96)(41, 97)(42, 98)(43, 99)(44, 100)(45, 101)(46, 102)(47, 103)(48, 104)(49, 105)(50, 106)(51, 107)(52, 108)(53, 109)(54, 110)(55, 111)(56, 112)
	local type(s) :: { ( 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56 ), ( 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 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 E13.356
Graph:: bipartite
	v = 3 e = 56 f = 29
	degree seq :: [ 28^2, 56 ]

E13.351 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {14, 28, 28})
Quotient :: dipole
Aut^+ = C28 (small group id <28, 2>)
Aut   = D56 (small group id <56, 5>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1^-1, Y3^-1 * Y1^-1, (Y3^-1, Y2^-1), (R * Y1)^2, (R * Y3)^2, (R * Y2)^2, (Y2^-1, Y1^-1), Y2^-1 * Y1^2 * Y3^-1 * Y2^-1, Y2^-1 * Y3 * Y2^-2 * Y3 * Y2^-5, Y1^14, Y2^-1 * Y3^2 * Y2^13 * Y1^2 * Y2^-2 * Y3, Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3^2 * Y2^2 * Y1^2 ]
Map::
	R = (1, 29, 2, 30, 6, 34, 9, 37, 15, 43, 20, 48, 22, 50, 27, 55, 25, 53, 23, 51, 18, 46, 13, 41, 11, 39, 4, 32)(3, 31, 7, 35, 14, 42, 16, 44, 21, 49, 26, 54, 28, 56, 24, 52, 19, 47, 17, 45, 12, 40, 5, 33, 8, 36, 10, 38)(57, 85, 59, 87, 65, 93, 72, 100, 78, 106, 84, 112, 79, 107, 73, 101, 67, 95, 64, 92, 58, 86, 63, 91, 71, 99, 77, 105, 83, 111, 80, 108, 74, 102, 68, 96, 60, 88, 66, 94, 62, 90, 70, 98, 76, 104, 82, 110, 81, 109, 75, 103, 69, 97, 61, 89)
	L = (1, 60)(2, 57)(3, 66)(4, 67)(5, 68)(6, 58)(7, 59)(8, 61)(9, 62)(10, 64)(11, 69)(12, 73)(13, 74)(14, 63)(15, 65)(16, 70)(17, 75)(18, 79)(19, 80)(20, 71)(21, 72)(22, 76)(23, 81)(24, 84)(25, 83)(26, 77)(27, 78)(28, 82)(29, 85)(30, 86)(31, 87)(32, 88)(33, 89)(34, 90)(35, 91)(36, 92)(37, 93)(38, 94)(39, 95)(40, 96)(41, 97)(42, 98)(43, 99)(44, 100)(45, 101)(46, 102)(47, 103)(48, 104)(49, 105)(50, 106)(51, 107)(52, 108)(53, 109)(54, 110)(55, 111)(56, 112)
	local type(s) :: { ( 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56 ), ( 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 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 E13.360
Graph:: bipartite
	v = 3 e = 56 f = 29
	degree seq :: [ 28^2, 56 ]

E13.352 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {14, 28, 28})
Quotient :: dipole
Aut^+ = C28 (small group id <28, 2>)
Aut   = D56 (small group id <56, 5>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y2^-1, Y1^-1 * Y2^-3, (R * Y1)^2, R * Y2 * R * Y3, Y2 * Y1^-9, (Y3^-1 * Y1^-1)^14 ]
Map::
	R = (1, 29, 2, 30, 6, 34, 12, 40, 18, 46, 24, 52, 22, 50, 16, 44, 10, 38, 3, 31, 7, 35, 13, 41, 19, 47, 25, 53, 28, 56, 27, 55, 21, 49, 15, 43, 9, 37, 5, 33, 8, 36, 14, 42, 20, 48, 26, 54, 23, 51, 17, 45, 11, 39, 4, 32)(57, 85, 59, 87, 65, 93, 60, 88, 66, 94, 71, 99, 67, 95, 72, 100, 77, 105, 73, 101, 78, 106, 83, 111, 79, 107, 80, 108, 84, 112, 82, 110, 74, 102, 81, 109, 76, 104, 68, 96, 75, 103, 70, 98, 62, 90, 69, 97, 64, 92, 58, 86, 63, 91, 61, 89)
	L = (1, 59)(2, 63)(3, 65)(4, 66)(5, 57)(6, 69)(7, 61)(8, 58)(9, 60)(10, 71)(11, 72)(12, 75)(13, 64)(14, 62)(15, 67)(16, 77)(17, 78)(18, 81)(19, 70)(20, 68)(21, 73)(22, 83)(23, 80)(24, 84)(25, 76)(26, 74)(27, 79)(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) :: { ( 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 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 E13.354
Graph:: bipartite
	v = 2 e = 56 f = 30
	degree seq :: [ 56^2 ]

E13.353 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {14, 28, 28})
Quotient :: dipole
Aut^+ = C28 (small group id <28, 2>)
Aut   = D56 (small group id <56, 5>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, (Y2, Y1), (R * Y1)^2, (R * Y3)^2, Y1 * Y2^2 * Y1^-1 * Y2^-2, Y2^4 * Y1^-1 * Y2, Y1^-1 * Y2 * Y1^-2 * Y2 * Y1^-3, (Y3^-1 * Y1^-1)^14 ]
Map::
	R = (1, 29, 2, 30, 6, 34, 14, 42, 24, 52, 19, 47, 9, 37, 17, 45, 27, 55, 22, 50, 12, 40, 5, 33, 8, 36, 16, 44, 26, 54, 20, 48, 10, 38, 3, 31, 7, 35, 15, 43, 25, 53, 23, 51, 13, 41, 18, 46, 28, 56, 21, 49, 11, 39, 4, 32)(57, 85, 59, 87, 65, 93, 74, 102, 64, 92, 58, 86, 63, 91, 73, 101, 84, 112, 72, 100, 62, 90, 71, 99, 83, 111, 77, 105, 82, 110, 70, 98, 81, 109, 78, 106, 67, 95, 76, 104, 80, 108, 79, 107, 68, 96, 60, 88, 66, 94, 75, 103, 69, 97, 61, 89)
	L = (1, 59)(2, 63)(3, 65)(4, 66)(5, 57)(6, 71)(7, 73)(8, 58)(9, 74)(10, 75)(11, 76)(12, 60)(13, 61)(14, 81)(15, 83)(16, 62)(17, 84)(18, 64)(19, 69)(20, 80)(21, 82)(22, 67)(23, 68)(24, 79)(25, 78)(26, 70)(27, 77)(28, 72)(29, 85)(30, 86)(31, 87)(32, 88)(33, 89)(34, 90)(35, 91)(36, 92)(37, 93)(38, 94)(39, 95)(40, 96)(41, 97)(42, 98)(43, 99)(44, 100)(45, 101)(46, 102)(47, 103)(48, 104)(49, 105)(50, 106)(51, 107)(52, 108)(53, 109)(54, 110)(55, 111)(56, 112)
	local type(s) :: { ( 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 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 E13.355
Graph:: bipartite
	v = 2 e = 56 f = 30
	degree seq :: [ 56^2 ]

E13.354 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {14, 28, 28})
Quotient :: dipole
Aut^+ = C28 (small group id <28, 2>)
Aut   = D56 (small group id <56, 5>)
|r| :: 2
Presentation :: [ Y1, R^2, Y3 * Y2 * Y3, (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, Y2^14, (Y3 * Y2^-1)^28, (Y3^-1 * Y1^-1)^28 ]
Map::
	R = (1, 29)(2, 30)(3, 31)(4, 32)(5, 33)(6, 34)(7, 35)(8, 36)(9, 37)(10, 38)(11, 39)(12, 40)(13, 41)(14, 42)(15, 43)(16, 44)(17, 45)(18, 46)(19, 47)(20, 48)(21, 49)(22, 50)(23, 51)(24, 52)(25, 53)(26, 54)(27, 55)(28, 56)(57, 85, 58, 86, 62, 90, 66, 94, 70, 98, 74, 102, 78, 106, 82, 110, 81, 109, 77, 105, 73, 101, 69, 97, 65, 93, 60, 88)(59, 87, 61, 89, 63, 91, 67, 95, 71, 99, 75, 103, 79, 107, 83, 111, 84, 112, 80, 108, 76, 104, 72, 100, 68, 96, 64, 92)
	L = (1, 59)(2, 61)(3, 60)(4, 64)(5, 57)(6, 63)(7, 58)(8, 65)(9, 68)(10, 67)(11, 62)(12, 69)(13, 72)(14, 71)(15, 66)(16, 73)(17, 76)(18, 75)(19, 70)(20, 77)(21, 80)(22, 79)(23, 74)(24, 81)(25, 84)(26, 83)(27, 78)(28, 82)(29, 85)(30, 86)(31, 87)(32, 88)(33, 89)(34, 90)(35, 91)(36, 92)(37, 93)(38, 94)(39, 95)(40, 96)(41, 97)(42, 98)(43, 99)(44, 100)(45, 101)(46, 102)(47, 103)(48, 104)(49, 105)(50, 106)(51, 107)(52, 108)(53, 109)(54, 110)(55, 111)(56, 112)
	local type(s) :: { ( 56, 56 ), ( 56^28 ) }
Outer automorphisms :: reflexible
Dual of E13.352
Graph:: simple bipartite
	v = 30 e = 56 f = 2
	degree seq :: [ 2^28, 28^2 ]

E13.355 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {14, 28, 28})
Quotient :: dipole
Aut^+ = C28 (small group id <28, 2>)
Aut   = D56 (small group id <56, 5>)
|r| :: 2
Presentation :: [ Y1, R^2, (R * Y2)^2, (R * Y3)^2, (R * Y1)^2, (Y3^-1, Y2), Y3 * Y2 * Y3 * Y2^2, Y2 * Y3^-1 * Y2 * Y3^-7, Y2^-2 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3, (Y3^-1 * Y1^-1)^28 ]
Map::
	R = (1, 29)(2, 30)(3, 31)(4, 32)(5, 33)(6, 34)(7, 35)(8, 36)(9, 37)(10, 38)(11, 39)(12, 40)(13, 41)(14, 42)(15, 43)(16, 44)(17, 45)(18, 46)(19, 47)(20, 48)(21, 49)(22, 50)(23, 51)(24, 52)(25, 53)(26, 54)(27, 55)(28, 56)(57, 85, 58, 86, 62, 90, 69, 97, 71, 99, 76, 104, 81, 109, 83, 111, 78, 106, 80, 108, 73, 101, 65, 93, 67, 95, 60, 88)(59, 87, 63, 91, 68, 96, 61, 89, 64, 92, 70, 98, 75, 103, 77, 105, 82, 110, 84, 112, 79, 107, 72, 100, 74, 102, 66, 94)
	L = (1, 59)(2, 63)(3, 65)(4, 66)(5, 57)(6, 68)(7, 67)(8, 58)(9, 72)(10, 73)(11, 74)(12, 60)(13, 61)(14, 62)(15, 64)(16, 78)(17, 79)(18, 80)(19, 69)(20, 70)(21, 71)(22, 82)(23, 83)(24, 84)(25, 75)(26, 76)(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) :: { ( 56, 56 ), ( 56^28 ) }
Outer automorphisms :: reflexible
Dual of E13.353
Graph:: simple bipartite
	v = 30 e = 56 f = 2
	degree seq :: [ 2^28, 28^2 ]

E13.356 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {14, 28, 28})
Quotient :: dipole
Aut^+ = C28 (small group id <28, 2>)
Aut   = D56 (small group id <56, 5>)
|r| :: 2
Presentation :: [ Y2, R^2, Y1^2 * Y3^-1, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y3^14, (Y3 * Y2^-1)^14, (Y3^-1 * Y1^-1)^28 ]
Map::
	R = (1, 29, 2, 30, 3, 31, 6, 34, 7, 35, 10, 38, 11, 39, 14, 42, 15, 43, 18, 46, 19, 47, 22, 50, 23, 51, 26, 54, 27, 55, 28, 56, 25, 53, 24, 52, 21, 49, 20, 48, 17, 45, 16, 44, 13, 41, 12, 40, 9, 37, 8, 36, 5, 33, 4, 32)(57, 85)(58, 86)(59, 87)(60, 88)(61, 89)(62, 90)(63, 91)(64, 92)(65, 93)(66, 94)(67, 95)(68, 96)(69, 97)(70, 98)(71, 99)(72, 100)(73, 101)(74, 102)(75, 103)(76, 104)(77, 105)(78, 106)(79, 107)(80, 108)(81, 109)(82, 110)(83, 111)(84, 112)
	L = (1, 59)(2, 62)(3, 63)(4, 58)(5, 57)(6, 66)(7, 67)(8, 60)(9, 61)(10, 70)(11, 71)(12, 64)(13, 65)(14, 74)(15, 75)(16, 68)(17, 69)(18, 78)(19, 79)(20, 72)(21, 73)(22, 82)(23, 83)(24, 76)(25, 77)(26, 84)(27, 81)(28, 80)(29, 85)(30, 86)(31, 87)(32, 88)(33, 89)(34, 90)(35, 91)(36, 92)(37, 93)(38, 94)(39, 95)(40, 96)(41, 97)(42, 98)(43, 99)(44, 100)(45, 101)(46, 102)(47, 103)(48, 104)(49, 105)(50, 106)(51, 107)(52, 108)(53, 109)(54, 110)(55, 111)(56, 112)
	local type(s) :: { ( 28, 56 ), ( 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56 ) }
Outer automorphisms :: reflexible
Dual of E13.350
Graph:: bipartite
	v = 29 e = 56 f = 3
	degree seq :: [ 2^28, 56 ]

E13.357 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {14, 28, 28})
Quotient :: dipole
Aut^+ = C28 (small group id <28, 2>)
Aut   = D56 (small group id <56, 5>)
|r| :: 2
Presentation :: [ Y2, R^2, Y1^2 * Y3, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y3^14, (Y3 * Y2^-1)^14 ]
Map::
	R = (1, 29, 2, 30, 5, 33, 6, 34, 9, 37, 10, 38, 13, 41, 14, 42, 17, 45, 18, 46, 21, 49, 22, 50, 25, 53, 26, 54, 27, 55, 28, 56, 23, 51, 24, 52, 19, 47, 20, 48, 15, 43, 16, 44, 11, 39, 12, 40, 7, 35, 8, 36, 3, 31, 4, 32)(57, 85)(58, 86)(59, 87)(60, 88)(61, 89)(62, 90)(63, 91)(64, 92)(65, 93)(66, 94)(67, 95)(68, 96)(69, 97)(70, 98)(71, 99)(72, 100)(73, 101)(74, 102)(75, 103)(76, 104)(77, 105)(78, 106)(79, 107)(80, 108)(81, 109)(82, 110)(83, 111)(84, 112)
	L = (1, 59)(2, 60)(3, 63)(4, 64)(5, 57)(6, 58)(7, 67)(8, 68)(9, 61)(10, 62)(11, 71)(12, 72)(13, 65)(14, 66)(15, 75)(16, 76)(17, 69)(18, 70)(19, 79)(20, 80)(21, 73)(22, 74)(23, 83)(24, 84)(25, 77)(26, 78)(27, 81)(28, 82)(29, 85)(30, 86)(31, 87)(32, 88)(33, 89)(34, 90)(35, 91)(36, 92)(37, 93)(38, 94)(39, 95)(40, 96)(41, 97)(42, 98)(43, 99)(44, 100)(45, 101)(46, 102)(47, 103)(48, 104)(49, 105)(50, 106)(51, 107)(52, 108)(53, 109)(54, 110)(55, 111)(56, 112)
	local type(s) :: { ( 28, 56 ), ( 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56 ) }
Outer automorphisms :: reflexible
Dual of E13.347
Graph:: bipartite
	v = 29 e = 56 f = 3
	degree seq :: [ 2^28, 56 ]

E13.358 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {14, 28, 28})
Quotient :: dipole
Aut^+ = C28 (small group id <28, 2>)
Aut   = D56 (small group id <56, 5>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y1)^2, (R * Y3)^2, (Y3, Y1), Y3^-1 * Y1 * Y3^-2 * Y1, (R * Y2 * Y3^-1)^2, Y1^-4 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-3, (Y3 * Y2^-1)^14, Y1^3 * Y3^2 * Y1^3 * Y3^2 * Y1^3 * Y3^2 * Y1^3 * Y3^2 * Y1^3 * Y3^2 * Y1^3 * Y3^2 * Y1^3 * Y3^2 * Y1^3 * Y3^2 * Y1^2 * Y3 ]
Map::
	R = (1, 29, 2, 30, 6, 34, 14, 42, 20, 48, 26, 54, 25, 53, 19, 47, 13, 41, 10, 38, 3, 31, 7, 35, 15, 43, 21, 49, 27, 55, 24, 52, 18, 46, 12, 40, 5, 33, 8, 36, 9, 37, 16, 44, 22, 50, 28, 56, 23, 51, 17, 45, 11, 39, 4, 32)(57, 85)(58, 86)(59, 87)(60, 88)(61, 89)(62, 90)(63, 91)(64, 92)(65, 93)(66, 94)(67, 95)(68, 96)(69, 97)(70, 98)(71, 99)(72, 100)(73, 101)(74, 102)(75, 103)(76, 104)(77, 105)(78, 106)(79, 107)(80, 108)(81, 109)(82, 110)(83, 111)(84, 112)
	L = (1, 59)(2, 63)(3, 65)(4, 66)(5, 57)(6, 71)(7, 72)(8, 58)(9, 62)(10, 64)(11, 69)(12, 60)(13, 61)(14, 77)(15, 78)(16, 70)(17, 75)(18, 67)(19, 68)(20, 83)(21, 84)(22, 76)(23, 81)(24, 73)(25, 74)(26, 80)(27, 79)(28, 82)(29, 85)(30, 86)(31, 87)(32, 88)(33, 89)(34, 90)(35, 91)(36, 92)(37, 93)(38, 94)(39, 95)(40, 96)(41, 97)(42, 98)(43, 99)(44, 100)(45, 101)(46, 102)(47, 103)(48, 104)(49, 105)(50, 106)(51, 107)(52, 108)(53, 109)(54, 110)(55, 111)(56, 112)
	local type(s) :: { ( 28, 56 ), ( 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56 ) }
Outer automorphisms :: reflexible
Dual of E13.349
Graph:: bipartite
	v = 29 e = 56 f = 3
	degree seq :: [ 2^28, 56 ]

E13.359 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {14, 28, 28})
Quotient :: dipole
Aut^+ = C28 (small group id <28, 2>)
Aut   = D56 (small group id <56, 5>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y1)^2, (R * Y3)^2, (Y3^-1, Y1^-1), Y3 * Y1^2 * Y3^2, (R * Y2 * Y3^-1)^2, Y3 * Y1^-3 * Y3^-1 * Y1^3, Y3^2 * Y1^-8, (Y3 * Y2^-1)^14 ]
Map::
	R = (1, 29, 2, 30, 6, 34, 14, 42, 20, 48, 26, 54, 23, 51, 17, 45, 9, 37, 12, 40, 5, 33, 8, 36, 15, 43, 21, 49, 27, 55, 24, 52, 18, 46, 10, 38, 3, 31, 7, 35, 13, 41, 16, 44, 22, 50, 28, 56, 25, 53, 19, 47, 11, 39, 4, 32)(57, 85)(58, 86)(59, 87)(60, 88)(61, 89)(62, 90)(63, 91)(64, 92)(65, 93)(66, 94)(67, 95)(68, 96)(69, 97)(70, 98)(71, 99)(72, 100)(73, 101)(74, 102)(75, 103)(76, 104)(77, 105)(78, 106)(79, 107)(80, 108)(81, 109)(82, 110)(83, 111)(84, 112)
	L = (1, 59)(2, 63)(3, 65)(4, 66)(5, 57)(6, 69)(7, 68)(8, 58)(9, 67)(10, 73)(11, 74)(12, 60)(13, 61)(14, 72)(15, 62)(16, 64)(17, 75)(18, 79)(19, 80)(20, 78)(21, 70)(22, 71)(23, 81)(24, 82)(25, 83)(26, 84)(27, 76)(28, 77)(29, 85)(30, 86)(31, 87)(32, 88)(33, 89)(34, 90)(35, 91)(36, 92)(37, 93)(38, 94)(39, 95)(40, 96)(41, 97)(42, 98)(43, 99)(44, 100)(45, 101)(46, 102)(47, 103)(48, 104)(49, 105)(50, 106)(51, 107)(52, 108)(53, 109)(54, 110)(55, 111)(56, 112)
	local type(s) :: { ( 28, 56 ), ( 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56 ) }
Outer automorphisms :: reflexible
Dual of E13.348
Graph:: bipartite
	v = 29 e = 56 f = 3
	degree seq :: [ 2^28, 56 ]

E13.360 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {14, 28, 28})
Quotient :: dipole
Aut^+ = C28 (small group id <28, 2>)
Aut   = D56 (small group id <56, 5>)
|r| :: 2
Presentation :: [ Y2, R^2, (Y3^-1, Y1^-1), (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, Y1 * Y3 * Y1^5, Y3 * Y1 * Y3^4 * Y1, Y3^-1 * Y1^2 * Y3^-1 * Y1^2 * Y3^-2, Y3 * Y1^-1 * Y3 * Y1^-1 * Y3^2 * Y1^-2, (Y3 * Y2^-1)^14 ]
Map::
	R = (1, 29, 2, 30, 6, 34, 14, 42, 23, 51, 12, 40, 5, 33, 8, 36, 16, 44, 26, 54, 19, 47, 24, 52, 13, 41, 18, 46, 27, 55, 20, 48, 9, 37, 17, 45, 25, 53, 28, 56, 21, 49, 10, 38, 3, 31, 7, 35, 15, 43, 22, 50, 11, 39, 4, 32)(57, 85)(58, 86)(59, 87)(60, 88)(61, 89)(62, 90)(63, 91)(64, 92)(65, 93)(66, 94)(67, 95)(68, 96)(69, 97)(70, 98)(71, 99)(72, 100)(73, 101)(74, 102)(75, 103)(76, 104)(77, 105)(78, 106)(79, 107)(80, 108)(81, 109)(82, 110)(83, 111)(84, 112)
	L = (1, 59)(2, 63)(3, 65)(4, 66)(5, 57)(6, 71)(7, 73)(8, 58)(9, 75)(10, 76)(11, 77)(12, 60)(13, 61)(14, 78)(15, 81)(16, 62)(17, 80)(18, 64)(19, 79)(20, 82)(21, 83)(22, 84)(23, 67)(24, 68)(25, 69)(26, 70)(27, 72)(28, 74)(29, 85)(30, 86)(31, 87)(32, 88)(33, 89)(34, 90)(35, 91)(36, 92)(37, 93)(38, 94)(39, 95)(40, 96)(41, 97)(42, 98)(43, 99)(44, 100)(45, 101)(46, 102)(47, 103)(48, 104)(49, 105)(50, 106)(51, 107)(52, 108)(53, 109)(54, 110)(55, 111)(56, 112)
	local type(s) :: { ( 28, 56 ), ( 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56 ) }
Outer automorphisms :: reflexible
Dual of E13.351
Graph:: bipartite
	v = 29 e = 56 f = 3
	degree seq :: [ 2^28, 56 ]

E13.361 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 5, 6})
Quotient :: dipole
Aut^+ = C3 x D10 (small group id <30, 2>)
Aut   = S3 x D10 (small group id <60, 8>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^3, (R * Y2)^2, (R * Y3)^2, (Y3, Y2^-1), (R * Y1)^2, Y2^-1 * Y1 * Y2 * Y1, Y2 * Y1 * Y3 * Y1 * Y3, Y3^5 * Y2, (Y2^-1 * Y3 * Y1)^2, (Y2^-1 * Y3)^5 ]
Map:: non-degenerate
	R = (1, 31, 2, 32)(3, 33, 7, 37)(4, 34, 13, 43)(5, 35, 9, 39)(6, 36, 17, 47)(8, 38, 16, 46)(10, 40, 11, 41)(12, 42, 21, 51)(14, 44, 26, 56)(15, 45, 19, 49)(18, 48, 30, 60)(20, 50, 24, 54)(22, 52, 28, 58)(23, 53, 25, 55)(27, 57, 29, 59)(61, 91, 63, 93, 65, 95)(62, 92, 67, 97, 69, 99)(64, 94, 71, 101, 75, 105)(66, 96, 72, 102, 76, 106)(68, 98, 77, 107, 81, 111)(70, 100, 79, 109, 73, 103)(74, 104, 83, 113, 88, 118)(78, 108, 84, 114, 87, 117)(80, 110, 89, 119, 90, 120)(82, 112, 86, 116, 85, 115)
	L = (1, 64)(2, 68)(3, 71)(4, 74)(5, 75)(6, 61)(7, 77)(8, 80)(9, 81)(10, 62)(11, 83)(12, 63)(13, 69)(14, 87)(15, 88)(16, 65)(17, 89)(18, 66)(19, 67)(20, 85)(21, 90)(22, 70)(23, 78)(24, 72)(25, 73)(26, 79)(27, 76)(28, 84)(29, 82)(30, 86)(31, 91)(32, 92)(33, 93)(34, 94)(35, 95)(36, 96)(37, 97)(38, 98)(39, 99)(40, 100)(41, 101)(42, 102)(43, 103)(44, 104)(45, 105)(46, 106)(47, 107)(48, 108)(49, 109)(50, 110)(51, 111)(52, 112)(53, 113)(54, 114)(55, 115)(56, 116)(57, 117)(58, 118)(59, 119)(60, 120)
	local type(s) :: { ( 10, 12, 10, 12 ), ( 10, 12, 10, 12, 10, 12 ) }
Outer automorphisms :: reflexible
Dual of E13.364
Graph:: simple bipartite
	v = 25 e = 60 f = 11
	degree seq :: [ 4^15, 6^10 ]

E13.362 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 5, 6})
Quotient :: dipole
Aut^+ = C3 x D10 (small group id <30, 2>)
Aut   = S3 x D10 (small group id <60, 8>)
|r| :: 2
Presentation :: [ R^2, Y1^3, Y1 * Y3^-2, (R * Y3)^2, (Y1^-1, Y2^-1), (R * Y1)^2, Y2^-1 * Y3^-1 * Y2^-1 * Y3, R * Y2 * R * Y2^-1, (Y3^-1 * Y1^-1)^2, Y2^5 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 5, 35)(3, 33, 8, 38, 13, 43)(4, 34, 9, 39, 7, 37)(6, 36, 10, 40, 16, 46)(11, 41, 19, 49, 24, 54)(12, 42, 20, 50, 14, 44)(15, 45, 21, 51, 18, 48)(17, 47, 22, 52, 27, 57)(23, 53, 29, 59, 25, 55)(26, 56, 30, 60, 28, 58)(61, 91, 63, 93, 71, 101, 77, 107, 66, 96)(62, 92, 68, 98, 79, 109, 82, 112, 70, 100)(64, 94, 75, 105, 86, 116, 83, 113, 72, 102)(65, 95, 73, 103, 84, 114, 87, 117, 76, 106)(67, 97, 78, 108, 88, 118, 85, 115, 74, 104)(69, 99, 81, 111, 90, 120, 89, 119, 80, 110)
	L = (1, 64)(2, 69)(3, 72)(4, 62)(5, 67)(6, 75)(7, 61)(8, 80)(9, 65)(10, 81)(11, 83)(12, 68)(13, 74)(14, 63)(15, 70)(16, 78)(17, 86)(18, 66)(19, 89)(20, 73)(21, 76)(22, 90)(23, 79)(24, 85)(25, 71)(26, 82)(27, 88)(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, 12, 4, 12, 4, 12 ), ( 4, 12, 4, 12, 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E13.363
Graph:: simple bipartite
	v = 16 e = 60 f = 20
	degree seq :: [ 6^10, 10^6 ]

E13.363 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 5, 6})
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, (R * Y2)^2, Y1^-1 * Y3 * Y2 * Y1^-1, Y3^-3 * Y2, Y2 * Y3 * Y2 * Y3^-1, (R * Y1)^2, (R * Y3)^2, Y3 * Y2 * Y1^4, Y2 * Y1^-1 * Y3 * Y1 * Y2 * Y1^-1 * Y3^-1 * Y1^-1 * Y2 * Y1^-1, (Y3^-1 * Y1^-1)^5 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 7, 37, 15, 45, 13, 43, 5, 35)(3, 33, 11, 41, 4, 34, 14, 44, 6, 36, 12, 42)(8, 38, 16, 46, 9, 39, 18, 48, 10, 40, 17, 47)(19, 49, 25, 55, 20, 50, 27, 57, 21, 51, 26, 56)(22, 52, 28, 58, 23, 53, 30, 60, 24, 54, 29, 59)(61, 91, 63, 93)(62, 92, 68, 98)(64, 94, 67, 97)(65, 95, 70, 100)(66, 96, 73, 103)(69, 99, 75, 105)(71, 101, 79, 109)(72, 102, 81, 111)(74, 104, 80, 110)(76, 106, 82, 112)(77, 107, 84, 114)(78, 108, 83, 113)(85, 115, 90, 120)(86, 116, 88, 118)(87, 117, 89, 119)
	L = (1, 64)(2, 69)(3, 67)(4, 73)(5, 68)(6, 61)(7, 66)(8, 75)(9, 65)(10, 62)(11, 80)(12, 79)(13, 63)(14, 81)(15, 70)(16, 83)(17, 82)(18, 84)(19, 74)(20, 72)(21, 71)(22, 78)(23, 77)(24, 76)(25, 89)(26, 90)(27, 88)(28, 85)(29, 86)(30, 87)(31, 91)(32, 92)(33, 93)(34, 94)(35, 95)(36, 96)(37, 97)(38, 98)(39, 99)(40, 100)(41, 101)(42, 102)(43, 103)(44, 104)(45, 105)(46, 106)(47, 107)(48, 108)(49, 109)(50, 110)(51, 111)(52, 112)(53, 113)(54, 114)(55, 115)(56, 116)(57, 117)(58, 118)(59, 119)(60, 120)
	local type(s) :: { ( 6, 10, 6, 10 ), ( 6, 10, 6, 10, 6, 10, 6, 10, 6, 10, 6, 10 ) }
Outer automorphisms :: reflexible
Dual of E13.362
Graph:: bipartite
	v = 20 e = 60 f = 16
	degree seq :: [ 4^15, 12^5 ]

E13.364 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 5, 6})
Quotient :: dipole
Aut^+ = C3 x D10 (small group id <30, 2>)
Aut   = S3 x D10 (small group id <60, 8>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y2^-1 * Y1^-1 * Y2, Y3^-1 * Y2^-2 * Y1^-1, (Y3 * Y2^-1)^2, (Y1^-1, Y3^-1), (R * Y1)^2, (R * Y3)^2, Y2 * Y3 * Y2 * Y1^-1, Y1^2 * Y3^-3, Y1^5, (R * Y2 * Y3^-1)^2, Y1^-1 * Y3^-2 * Y1^-1 * Y3^-1 * Y1^-1, Y1^-1 * Y3^-1 * Y2^4 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 8, 38, 19, 49, 5, 35)(3, 33, 13, 43, 28, 58, 22, 52, 9, 39)(4, 34, 10, 40, 23, 53, 21, 51, 18, 48)(6, 36, 16, 46, 30, 60, 24, 54, 11, 41)(7, 37, 12, 42, 17, 47, 26, 56, 14, 44)(15, 45, 29, 59, 27, 57, 20, 50, 25, 55)(61, 91, 63, 93, 74, 104, 85, 115, 70, 100, 66, 96)(62, 92, 69, 99, 67, 97, 80, 110, 83, 113, 71, 101)(64, 94, 76, 106, 65, 95, 73, 103, 86, 116, 75, 105)(68, 98, 82, 112, 72, 102, 87, 117, 81, 111, 84, 114)(77, 107, 89, 119, 78, 108, 90, 120, 79, 109, 88, 118)
	L = (1, 64)(2, 70)(3, 71)(4, 77)(5, 78)(6, 80)(7, 61)(8, 83)(9, 84)(10, 86)(11, 87)(12, 62)(13, 66)(14, 65)(15, 63)(16, 85)(17, 68)(18, 72)(19, 81)(20, 82)(21, 67)(22, 90)(23, 74)(24, 89)(25, 69)(26, 79)(27, 88)(28, 76)(29, 73)(30, 75)(31, 91)(32, 92)(33, 93)(34, 94)(35, 95)(36, 96)(37, 97)(38, 98)(39, 99)(40, 100)(41, 101)(42, 102)(43, 103)(44, 104)(45, 105)(46, 106)(47, 107)(48, 108)(49, 109)(50, 110)(51, 111)(52, 112)(53, 113)(54, 114)(55, 115)(56, 116)(57, 117)(58, 118)(59, 119)(60, 120)
	local type(s) :: { ( 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 E13.361
Graph:: bipartite
	v = 11 e = 60 f = 25
	degree seq :: [ 10^6, 12^5 ]

E13.365 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 5, 6})
Quotient :: dipole
Aut^+ = C3 x D10 (small group id <30, 2>)
Aut   = S3 x D10 (small group id <60, 8>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (Y2, Y3^-1), (R * Y2)^2, (R * Y3)^2, (Y2^-1 * Y1)^2, (R * Y1)^2, Y2^2 * Y3^3, Y2^5, Y3^-2 * Y2 * Y1 * Y3^-1 * Y1, Y2^-1 * Y3^2 * Y2^-1 * Y3 * Y2^-1, Y2^-1 * Y3 * Y2^-1 * Y1 * Y3^-1 * Y1, Y3^2 * Y2^-1 * Y1 * Y3 * Y1 ]
Map:: polytopal non-degenerate
	R = (1, 31, 2, 32)(3, 33, 9, 39)(4, 34, 14, 44)(5, 35, 7, 37)(6, 36, 19, 49)(8, 38, 24, 54)(10, 40, 29, 59)(11, 41, 27, 57)(12, 42, 30, 60)(13, 43, 23, 53)(15, 45, 28, 58)(16, 46, 26, 56)(17, 47, 21, 51)(18, 48, 25, 55)(20, 50, 22, 52)(61, 91, 63, 93, 71, 101, 77, 107, 65, 95)(62, 92, 67, 97, 81, 111, 87, 117, 69, 99)(64, 94, 72, 102, 80, 110, 84, 114, 76, 106)(66, 96, 73, 103, 89, 119, 75, 105, 78, 108)(68, 98, 82, 112, 90, 120, 74, 104, 86, 116)(70, 100, 83, 113, 79, 109, 85, 115, 88, 118)
	L = (1, 64)(2, 68)(3, 72)(4, 75)(5, 76)(6, 61)(7, 82)(8, 85)(9, 86)(10, 62)(11, 80)(12, 78)(13, 63)(14, 83)(15, 77)(16, 89)(17, 84)(18, 65)(19, 81)(20, 66)(21, 90)(22, 88)(23, 67)(24, 73)(25, 87)(26, 79)(27, 74)(28, 69)(29, 71)(30, 70)(31, 91)(32, 92)(33, 93)(34, 94)(35, 95)(36, 96)(37, 97)(38, 98)(39, 99)(40, 100)(41, 101)(42, 102)(43, 103)(44, 104)(45, 105)(46, 106)(47, 107)(48, 108)(49, 109)(50, 110)(51, 111)(52, 112)(53, 113)(54, 114)(55, 115)(56, 116)(57, 117)(58, 118)(59, 119)(60, 120)
	local type(s) :: { ( 6, 12, 6, 12 ), ( 6, 12, 6, 12, 6, 12, 6, 12, 6, 12 ) }
Outer automorphisms :: reflexible
Dual of E13.366
Graph:: simple bipartite
	v = 21 e = 60 f = 15
	degree seq :: [ 4^15, 10^6 ]

E13.366 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 5, 6})
Quotient :: dipole
Aut^+ = C3 x D10 (small group id <30, 2>)
Aut   = S3 x D10 (small group id <60, 8>)
|r| :: 2
Presentation :: [ R^2, Y1^3, Y1 * Y3^-2, Y1 * Y2^-2, (Y2 * Y1)^2, (R * Y3)^2, (Y1 * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, (Y3 * Y2^-1)^5 ]
Map:: polytopal non-degenerate
	R = (1, 31, 2, 32, 5, 35)(3, 33, 8, 38, 6, 36)(4, 34, 9, 39, 7, 37)(10, 40, 14, 44, 11, 41)(12, 42, 15, 45, 13, 43)(16, 46, 18, 48, 17, 47)(19, 49, 21, 51, 20, 50)(22, 52, 24, 54, 23, 53)(25, 55, 27, 57, 26, 56)(28, 58, 30, 60, 29, 59)(61, 91, 63, 93, 62, 92, 68, 98, 65, 95, 66, 96)(64, 94, 72, 102, 69, 99, 75, 105, 67, 97, 73, 103)(70, 100, 76, 106, 74, 104, 78, 108, 71, 101, 77, 107)(79, 109, 85, 115, 81, 111, 87, 117, 80, 110, 86, 116)(82, 112, 88, 118, 84, 114, 90, 120, 83, 113, 89, 119)
	L = (1, 64)(2, 69)(3, 70)(4, 62)(5, 67)(6, 71)(7, 61)(8, 74)(9, 65)(10, 68)(11, 63)(12, 79)(13, 80)(14, 66)(15, 81)(16, 82)(17, 83)(18, 84)(19, 75)(20, 72)(21, 73)(22, 78)(23, 76)(24, 77)(25, 88)(26, 89)(27, 90)(28, 87)(29, 85)(30, 86)(31, 91)(32, 92)(33, 93)(34, 94)(35, 95)(36, 96)(37, 97)(38, 98)(39, 99)(40, 100)(41, 101)(42, 102)(43, 103)(44, 104)(45, 105)(46, 106)(47, 107)(48, 108)(49, 109)(50, 110)(51, 111)(52, 112)(53, 113)(54, 114)(55, 115)(56, 116)(57, 117)(58, 118)(59, 119)(60, 120)
	local type(s) :: { ( 4, 10, 4, 10, 4, 10 ), ( 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10 ) }
Outer automorphisms :: reflexible
Dual of E13.365
Graph:: bipartite
	v = 15 e = 60 f = 21
	degree seq :: [ 6^10, 12^5 ]

E13.367 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 10, 10})
Quotient :: halfedge^2
Aut^+ = C5 x S3 (small group id <30, 1>)
Aut   = S3 x D10 (small group id <60, 8>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, Y3 * Y2, R * Y2 * R * Y3, (R * Y1)^2, Y2 * Y1^-2 * Y2 * Y1^2, Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-3, Y1^10 ]
Map::
	R = (1, 32, 2, 35, 5, 41, 11, 50, 20, 58, 28, 57, 27, 49, 19, 40, 10, 34, 4, 31)(3, 37, 7, 42, 12, 52, 22, 59, 29, 54, 24, 60, 30, 53, 23, 47, 17, 38, 8, 33)(6, 43, 13, 51, 21, 46, 16, 56, 26, 45, 15, 55, 25, 48, 18, 39, 9, 44, 14, 36)
	L = (1, 3)(2, 6)(4, 9)(5, 12)(7, 15)(8, 16)(10, 17)(11, 21)(13, 23)(14, 24)(18, 22)(19, 25)(20, 29)(26, 28)(27, 30)(31, 33)(32, 36)(34, 39)(35, 42)(37, 45)(38, 46)(40, 47)(41, 51)(43, 53)(44, 54)(48, 52)(49, 55)(50, 59)(56, 58)(57, 60)
	local type(s) :: { ( 20^20 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+ AT
Graph::
	v = 3 e = 30 f = 3
	degree seq :: [ 20^3 ]

E13.368 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 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 :: [ Y1^2, Y2^2, R^2, Y2 * Y1, R * Y1 * R * Y2, (R * Y3)^2, Y3^2 * Y1 * Y3^-2 * Y2, Y3^-2 * Y1 * Y3^2 * Y2, Y3 * Y1 * Y3^3 * Y1 * Y3 * Y1, Y3^10 ]
Map::
	R = (1, 31, 3, 33, 8, 38, 17, 47, 26, 56, 28, 58, 27, 57, 19, 49, 10, 40, 4, 34)(2, 32, 5, 35, 12, 42, 22, 52, 29, 59, 25, 55, 30, 60, 24, 54, 14, 44, 6, 36)(7, 37, 15, 45, 23, 53, 13, 43, 21, 51, 11, 41, 20, 50, 18, 48, 9, 39, 16, 46)(61, 62)(63, 67)(64, 69)(65, 71)(66, 73)(68, 72)(70, 74)(75, 84)(76, 85)(77, 83)(78, 82)(79, 80)(81, 88)(86, 89)(87, 90)(91, 92)(93, 97)(94, 99)(95, 101)(96, 103)(98, 102)(100, 104)(105, 114)(106, 115)(107, 113)(108, 112)(109, 110)(111, 118)(116, 119)(117, 120)
	L = (1, 61)(2, 62)(3, 63)(4, 64)(5, 65)(6, 66)(7, 67)(8, 68)(9, 69)(10, 70)(11, 71)(12, 72)(13, 73)(14, 74)(15, 75)(16, 76)(17, 77)(18, 78)(19, 79)(20, 80)(21, 81)(22, 82)(23, 83)(24, 84)(25, 85)(26, 86)(27, 87)(28, 88)(29, 89)(30, 90)(31, 91)(32, 92)(33, 93)(34, 94)(35, 95)(36, 96)(37, 97)(38, 98)(39, 99)(40, 100)(41, 101)(42, 102)(43, 103)(44, 104)(45, 105)(46, 106)(47, 107)(48, 108)(49, 109)(50, 110)(51, 111)(52, 112)(53, 113)(54, 114)(55, 115)(56, 116)(57, 117)(58, 118)(59, 119)(60, 120)
	local type(s) :: { ( 40, 40 ), ( 40^20 ) }
Outer automorphisms :: reflexible
Dual of E13.370
Graph:: simple bipartite
	v = 33 e = 60 f = 3
	degree seq :: [ 2^30, 20^3 ]

E13.369 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 10, 10})
Quotient :: edge^2
Aut^+ = C5 x S3 (small group id <30, 1>)
Aut   = C10 x S3 (small group id <60, 11>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y1^-1 * Y2^-1, (R * Y3)^2, R * Y2 * R * Y1, Y3 * Y2^2 * Y3 * Y2^-2, Y2 * Y3 * Y1 * Y2^-1 * Y3 * Y1^-1, Y3 * Y1^2 * Y3 * Y1^-2, Y3 * Y2 * Y3 * Y2^2 * Y1^-1 * Y3 * Y1^-1, Y2^10, Y1^10 ]
Map:: non-degenerate
	R = (1, 31, 4, 34)(2, 32, 6, 36)(3, 33, 8, 38)(5, 35, 12, 42)(7, 37, 16, 46)(9, 39, 18, 48)(10, 40, 19, 49)(11, 41, 21, 51)(13, 43, 23, 53)(14, 44, 24, 54)(15, 45, 26, 56)(17, 47, 22, 52)(20, 50, 29, 59)(25, 55, 30, 60)(27, 57, 28, 58)(61, 62, 65, 71, 80, 88, 85, 75, 67, 63)(64, 69, 72, 82, 89, 84, 90, 83, 76, 70)(66, 73, 81, 79, 87, 78, 86, 77, 68, 74)(91, 93, 97, 105, 115, 118, 110, 101, 95, 92)(94, 100, 106, 113, 120, 114, 119, 112, 102, 99)(96, 104, 98, 107, 116, 108, 117, 109, 111, 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) :: { ( 8^4 ), ( 8^10 ) }
Outer automorphisms :: reflexible
Dual of E13.371
Graph:: simple bipartite
	v = 21 e = 60 f = 15
	degree seq :: [ 4^15, 10^6 ]

E13.370 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 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 :: [ Y1^2, Y2^2, R^2, Y2 * Y1, R * Y1 * R * Y2, (R * Y3)^2, Y3^2 * Y1 * Y3^-2 * Y2, Y3^-2 * Y1 * Y3^2 * Y2, Y3 * Y1 * Y3^3 * Y1 * Y3 * Y1, Y3^10 ]
Map::
	R = (1, 31, 61, 91, 3, 33, 63, 93, 8, 38, 68, 98, 17, 47, 77, 107, 26, 56, 86, 116, 28, 58, 88, 118, 27, 57, 87, 117, 19, 49, 79, 109, 10, 40, 70, 100, 4, 34, 64, 94)(2, 32, 62, 92, 5, 35, 65, 95, 12, 42, 72, 102, 22, 52, 82, 112, 29, 59, 89, 119, 25, 55, 85, 115, 30, 60, 90, 120, 24, 54, 84, 114, 14, 44, 74, 104, 6, 36, 66, 96)(7, 37, 67, 97, 15, 45, 75, 105, 23, 53, 83, 113, 13, 43, 73, 103, 21, 51, 81, 111, 11, 41, 71, 101, 20, 50, 80, 110, 18, 48, 78, 108, 9, 39, 69, 99, 16, 46, 76, 106)
	L = (1, 32)(2, 31)(3, 37)(4, 39)(5, 41)(6, 43)(7, 33)(8, 42)(9, 34)(10, 44)(11, 35)(12, 38)(13, 36)(14, 40)(15, 54)(16, 55)(17, 53)(18, 52)(19, 50)(20, 49)(21, 58)(22, 48)(23, 47)(24, 45)(25, 46)(26, 59)(27, 60)(28, 51)(29, 56)(30, 57)(61, 92)(62, 91)(63, 97)(64, 99)(65, 101)(66, 103)(67, 93)(68, 102)(69, 94)(70, 104)(71, 95)(72, 98)(73, 96)(74, 100)(75, 114)(76, 115)(77, 113)(78, 112)(79, 110)(80, 109)(81, 118)(82, 108)(83, 107)(84, 105)(85, 106)(86, 119)(87, 120)(88, 111)(89, 116)(90, 117)
	local type(s) :: { ( 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20 ) }
Outer automorphisms :: reflexible
Dual of E13.368
Transitivity :: VT+
Graph::
	v = 3 e = 60 f = 33
	degree seq :: [ 40^3 ]

E13.371 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 10, 10})
Quotient :: loop^2
Aut^+ = C5 x S3 (small group id <30, 1>)
Aut   = C10 x S3 (small group id <60, 11>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y1^-1 * Y2^-1, (R * Y3)^2, R * Y2 * R * Y1, Y3 * Y2^2 * Y3 * Y2^-2, Y2 * Y3 * Y1 * Y2^-1 * Y3 * Y1^-1, Y3 * Y1^2 * Y3 * Y1^-2, Y3 * Y2 * Y3 * Y2^2 * Y1^-1 * Y3 * Y1^-1, Y2^10, Y1^10 ]
Map:: non-degenerate
	R = (1, 31, 61, 91, 4, 34, 64, 94)(2, 32, 62, 92, 6, 36, 66, 96)(3, 33, 63, 93, 8, 38, 68, 98)(5, 35, 65, 95, 12, 42, 72, 102)(7, 37, 67, 97, 16, 46, 76, 106)(9, 39, 69, 99, 18, 48, 78, 108)(10, 40, 70, 100, 19, 49, 79, 109)(11, 41, 71, 101, 21, 51, 81, 111)(13, 43, 73, 103, 23, 53, 83, 113)(14, 44, 74, 104, 24, 54, 84, 114)(15, 45, 75, 105, 26, 56, 86, 116)(17, 47, 77, 107, 22, 52, 82, 112)(20, 50, 80, 110, 29, 59, 89, 119)(25, 55, 85, 115, 30, 60, 90, 120)(27, 57, 87, 117, 28, 58, 88, 118)
	L = (1, 32)(2, 35)(3, 31)(4, 39)(5, 41)(6, 43)(7, 33)(8, 44)(9, 42)(10, 34)(11, 50)(12, 52)(13, 51)(14, 36)(15, 37)(16, 40)(17, 38)(18, 56)(19, 57)(20, 58)(21, 49)(22, 59)(23, 46)(24, 60)(25, 45)(26, 47)(27, 48)(28, 55)(29, 54)(30, 53)(61, 93)(62, 91)(63, 97)(64, 100)(65, 92)(66, 104)(67, 105)(68, 107)(69, 94)(70, 106)(71, 95)(72, 99)(73, 96)(74, 98)(75, 115)(76, 113)(77, 116)(78, 117)(79, 111)(80, 101)(81, 103)(82, 102)(83, 120)(84, 119)(85, 118)(86, 108)(87, 109)(88, 110)(89, 112)(90, 114)
	local type(s) :: { ( 4, 10, 4, 10, 4, 10, 4, 10 ) }
Outer automorphisms :: reflexible
Dual of E13.369
Transitivity :: VT+
Graph::
	v = 15 e = 60 f = 21
	degree seq :: [ 8^15 ]

E13.372 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 10, 10})
Quotient :: dipole
Aut^+ = C5 x S3 (small group id <30, 1>)
Aut   = S3 x D10 (small group id <60, 8>)
|r| :: 2
Presentation :: [ Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y1^2, R^2, (Y3^-1 * Y1)^2, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y2^-2 * Y1 * Y2^2 * Y1, Y2^3 * Y1 * Y2 * Y1 * Y2 * Y1, Y2^10, (Y3 * Y2^-1)^10 ]
Map::
	R = (1, 31, 2, 32)(3, 33, 7, 37)(4, 34, 9, 39)(5, 35, 11, 41)(6, 36, 13, 43)(8, 38, 12, 42)(10, 40, 14, 44)(15, 45, 24, 54)(16, 46, 25, 55)(17, 47, 23, 53)(18, 48, 22, 52)(19, 49, 20, 50)(21, 51, 28, 58)(26, 56, 29, 59)(27, 57, 30, 60)(61, 91, 63, 93, 68, 98, 77, 107, 86, 116, 88, 118, 87, 117, 79, 109, 70, 100, 64, 94)(62, 92, 65, 95, 72, 102, 82, 112, 89, 119, 85, 115, 90, 120, 84, 114, 74, 104, 66, 96)(67, 97, 75, 105, 83, 113, 73, 103, 81, 111, 71, 101, 80, 110, 78, 108, 69, 99, 76, 106)
	L = (1, 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) :: { ( 4, 20, 4, 20 ), ( 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 18 e = 60 f = 18
	degree seq :: [ 4^15, 20^3 ]

E13.373 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 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, Y3^3, (R * Y3)^2, (R * Y1)^2, (Y1 * Y3^-1)^2, Y2^-1 * Y3^-1 * Y2 * Y3^-1, Y2 * Y3 * Y1 * Y2^-1 * Y1, Y1 * Y2 * Y3^-1 * Y1 * Y2^-1 * Y3^-1, (R * Y2 * Y3^-1)^2, (Y2^-2 * R)^2, Y1 * Y2^4 * Y3 * Y2 ]
Map:: non-degenerate
	R = (1, 31, 2, 32)(3, 33, 11, 41)(4, 34, 10, 40)(5, 35, 16, 46)(6, 36, 8, 38)(7, 37, 13, 43)(9, 39, 17, 47)(12, 42, 19, 49)(14, 44, 20, 50)(15, 45, 21, 51)(18, 48, 22, 52)(23, 53, 25, 55)(24, 54, 29, 59)(26, 56, 30, 60)(27, 57, 28, 58)(61, 91, 63, 93, 72, 102, 84, 114, 81, 111, 68, 98, 80, 110, 90, 120, 78, 108, 65, 95)(62, 92, 67, 97, 79, 109, 87, 117, 75, 105, 64, 94, 74, 104, 85, 115, 82, 112, 69, 99)(66, 96, 73, 103, 86, 116, 88, 118, 76, 106, 70, 100, 71, 101, 83, 113, 89, 119, 77, 107)
	L = (1, 64)(2, 68)(3, 73)(4, 66)(5, 77)(6, 61)(7, 71)(8, 70)(9, 76)(10, 62)(11, 80)(12, 85)(13, 74)(14, 63)(15, 65)(16, 81)(17, 75)(18, 87)(19, 90)(20, 67)(21, 69)(22, 84)(23, 79)(24, 88)(25, 86)(26, 72)(27, 89)(28, 82)(29, 78)(30, 83)(31, 91)(32, 92)(33, 93)(34, 94)(35, 95)(36, 96)(37, 97)(38, 98)(39, 99)(40, 100)(41, 101)(42, 102)(43, 103)(44, 104)(45, 105)(46, 106)(47, 107)(48, 108)(49, 109)(50, 110)(51, 111)(52, 112)(53, 113)(54, 114)(55, 115)(56, 116)(57, 117)(58, 118)(59, 119)(60, 120)
	local type(s) :: { ( 4, 20, 4, 20 ), ( 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 18 e = 60 f = 18
	degree seq :: [ 4^15, 20^3 ]

E13.374 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {10, 15, 30})
Quotient :: edge
Aut^+ = C30 (small group id <30, 4>)
Aut   = D60 (small group id <60, 12>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, (T2^-1, T1^-1), T2^3 * T1^2, T1^-10, T1^10 ]
Map:: non-degenerate
	R = (1, 3, 9, 11, 18, 23, 25, 30, 27, 20, 22, 15, 6, 13, 5)(2, 7, 12, 4, 10, 17, 19, 24, 29, 26, 28, 21, 14, 16, 8)(31, 32, 36, 44, 50, 56, 55, 49, 41, 34)(33, 37, 43, 46, 52, 58, 60, 54, 48, 40)(35, 38, 45, 51, 57, 59, 53, 47, 39, 42)
	L = (1, 31)(2, 32)(3, 33)(4, 34)(5, 35)(6, 36)(7, 37)(8, 38)(9, 39)(10, 40)(11, 41)(12, 42)(13, 43)(14, 44)(15, 45)(16, 46)(17, 47)(18, 48)(19, 49)(20, 50)(21, 51)(22, 52)(23, 53)(24, 54)(25, 55)(26, 56)(27, 57)(28, 58)(29, 59)(30, 60)
	local type(s) :: { ( 60^10 ), ( 60^15 ) }
Outer automorphisms :: reflexible
Dual of E13.386
Transitivity :: ET+
Graph:: bipartite
	v = 5 e = 30 f = 1
	degree seq :: [ 10^3, 15^2 ]

E13.375 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {10, 15, 30})
Quotient :: edge
Aut^+ = C30 (small group id <30, 4>)
Aut   = D60 (small group id <60, 12>)
|r| :: 2
Presentation :: [ F^2, (T2^-1, T1^-1), (F * T1)^2, (F * T2)^2, T2 * T1 * T2 * T1^3 * T2, T2^-5 * T1 * T2^-1 * T1 ]
Map:: non-degenerate
	R = (1, 3, 9, 19, 27, 16, 6, 15, 23, 11, 21, 29, 25, 13, 5)(2, 7, 17, 22, 30, 26, 14, 24, 12, 4, 10, 20, 28, 18, 8)(31, 32, 36, 44, 55, 58, 49, 52, 41, 34)(33, 37, 45, 54, 43, 48, 57, 60, 51, 40)(35, 38, 46, 56, 59, 50, 39, 47, 53, 42)
	L = (1, 31)(2, 32)(3, 33)(4, 34)(5, 35)(6, 36)(7, 37)(8, 38)(9, 39)(10, 40)(11, 41)(12, 42)(13, 43)(14, 44)(15, 45)(16, 46)(17, 47)(18, 48)(19, 49)(20, 50)(21, 51)(22, 52)(23, 53)(24, 54)(25, 55)(26, 56)(27, 57)(28, 58)(29, 59)(30, 60)
	local type(s) :: { ( 60^10 ), ( 60^15 ) }
Outer automorphisms :: reflexible
Dual of E13.387
Transitivity :: ET+
Graph:: bipartite
	v = 5 e = 30 f = 1
	degree seq :: [ 10^3, 15^2 ]

E13.376 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {10, 15, 30})
Quotient :: edge
Aut^+ = C30 (small group id <30, 4>)
Aut   = D60 (small group id <60, 12>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, (T1^-1, T2^-1), T2 * T1^-1 * T2 * T1^-3 * T2, T2 * T1 * T2^5 * T1, T1^-1 * T2^5 * T1^-2 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 ]
Map:: non-degenerate
	R = (1, 3, 9, 19, 29, 23, 11, 21, 16, 6, 15, 27, 25, 13, 5)(2, 7, 17, 28, 24, 12, 4, 10, 20, 14, 26, 30, 22, 18, 8)(31, 32, 36, 44, 49, 58, 55, 52, 41, 34)(33, 37, 45, 56, 59, 54, 43, 48, 51, 40)(35, 38, 46, 50, 39, 47, 57, 60, 53, 42)
	L = (1, 31)(2, 32)(3, 33)(4, 34)(5, 35)(6, 36)(7, 37)(8, 38)(9, 39)(10, 40)(11, 41)(12, 42)(13, 43)(14, 44)(15, 45)(16, 46)(17, 47)(18, 48)(19, 49)(20, 50)(21, 51)(22, 52)(23, 53)(24, 54)(25, 55)(26, 56)(27, 57)(28, 58)(29, 59)(30, 60)
	local type(s) :: { ( 60^10 ), ( 60^15 ) }
Outer automorphisms :: reflexible
Dual of E13.388
Transitivity :: ET+
Graph:: bipartite
	v = 5 e = 30 f = 1
	degree seq :: [ 10^3, 15^2 ]

E13.377 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {10, 15, 30})
Quotient :: edge
Aut^+ = C30 (small group id <30, 4>)
Aut   = D60 (small group id <60, 12>)
|r| :: 2
Presentation :: [ F^2, T2 * T1^-1 * T2, (F * T2)^2, (F * T1)^2, T1^15, (T2^-1 * T1^-1)^10 ]
Map:: non-degenerate
	R = (1, 3, 2, 7, 6, 11, 10, 15, 14, 19, 18, 23, 22, 27, 26, 30, 28, 29, 24, 25, 20, 21, 16, 17, 12, 13, 8, 9, 4, 5)(31, 32, 36, 40, 44, 48, 52, 56, 58, 54, 50, 46, 42, 38, 34)(33, 37, 41, 45, 49, 53, 57, 60, 59, 55, 51, 47, 43, 39, 35)
	L = (1, 31)(2, 32)(3, 33)(4, 34)(5, 35)(6, 36)(7, 37)(8, 38)(9, 39)(10, 40)(11, 41)(12, 42)(13, 43)(14, 44)(15, 45)(16, 46)(17, 47)(18, 48)(19, 49)(20, 50)(21, 51)(22, 52)(23, 53)(24, 54)(25, 55)(26, 56)(27, 57)(28, 58)(29, 59)(30, 60)
	local type(s) :: { ( 20^15 ), ( 20^30 ) }
Outer automorphisms :: reflexible
Dual of E13.391
Transitivity :: ET+
Graph:: bipartite
	v = 3 e = 30 f = 3
	degree seq :: [ 15^2, 30 ]

E13.378 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {10, 15, 30})
Quotient :: edge
Aut^+ = C30 (small group id <30, 4>)
Aut   = D60 (small group id <60, 12>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, (T2^-1, T1^-1), T2 * T1 * T2^3, T2 * T1^-1 * T2 * T1^-6 ]
Map:: non-degenerate
	R = (1, 3, 9, 12, 4, 10, 18, 21, 11, 19, 26, 29, 20, 27, 22, 30, 28, 24, 14, 23, 25, 16, 6, 15, 17, 8, 2, 7, 13, 5)(31, 32, 36, 44, 52, 56, 48, 39, 43, 47, 55, 58, 50, 41, 34)(33, 37, 45, 53, 60, 59, 51, 42, 35, 38, 46, 54, 57, 49, 40)
	L = (1, 31)(2, 32)(3, 33)(4, 34)(5, 35)(6, 36)(7, 37)(8, 38)(9, 39)(10, 40)(11, 41)(12, 42)(13, 43)(14, 44)(15, 45)(16, 46)(17, 47)(18, 48)(19, 49)(20, 50)(21, 51)(22, 52)(23, 53)(24, 54)(25, 55)(26, 56)(27, 57)(28, 58)(29, 59)(30, 60)
	local type(s) :: { ( 20^15 ), ( 20^30 ) }
Outer automorphisms :: reflexible
Dual of E13.390
Transitivity :: ET+
Graph:: bipartite
	v = 3 e = 30 f = 3
	degree seq :: [ 15^2, 30 ]

E13.379 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {10, 15, 30})
Quotient :: edge
Aut^+ = C30 (small group id <30, 4>)
Aut   = D60 (small group id <60, 12>)
|r| :: 2
Presentation :: [ F^2, (T1, T2^-1), (F * T1)^2, (F * T2)^2, (T1^-2 * T2)^2, T1^-1 * T2^-1 * T1^-1 * T2^-5 * T1^-1, T1^-1 * T2^-2 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 ]
Map:: non-degenerate
	R = (1, 3, 9, 19, 27, 26, 18, 8, 2, 7, 17, 25, 28, 20, 11, 16, 6, 15, 24, 29, 21, 12, 4, 10, 14, 23, 30, 22, 13, 5)(31, 32, 36, 44, 39, 47, 54, 60, 57, 58, 51, 43, 48, 41, 34)(33, 37, 45, 53, 49, 55, 59, 52, 56, 50, 42, 35, 38, 46, 40)
	L = (1, 31)(2, 32)(3, 33)(4, 34)(5, 35)(6, 36)(7, 37)(8, 38)(9, 39)(10, 40)(11, 41)(12, 42)(13, 43)(14, 44)(15, 45)(16, 46)(17, 47)(18, 48)(19, 49)(20, 50)(21, 51)(22, 52)(23, 53)(24, 54)(25, 55)(26, 56)(27, 57)(28, 58)(29, 59)(30, 60)
	local type(s) :: { ( 20^15 ), ( 20^30 ) }
Outer automorphisms :: reflexible
Dual of E13.389
Transitivity :: ET+
Graph:: bipartite
	v = 3 e = 30 f = 3
	degree seq :: [ 15^2, 30 ]

E13.380 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {10, 15, 30})
Quotient :: edge
Aut^+ = C30 (small group id <30, 4>)
Aut   = D60 (small group id <60, 12>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, (T2^-1, T1), T2^-3 * T1^3, T2^-1 * T1^-9, T2^10, T1^-1 * T2^-2 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 ]
Map:: non-degenerate
	R = (1, 3, 9, 14, 23, 30, 26, 19, 13, 5)(2, 7, 17, 22, 29, 27, 20, 11, 18, 8)(4, 10, 16, 6, 15, 24, 28, 25, 21, 12)(31, 32, 36, 44, 52, 58, 56, 50, 42, 35, 38, 46, 39, 47, 54, 60, 57, 51, 43, 48, 40, 33, 37, 45, 53, 59, 55, 49, 41, 34)
	L = (1, 31)(2, 32)(3, 33)(4, 34)(5, 35)(6, 36)(7, 37)(8, 38)(9, 39)(10, 40)(11, 41)(12, 42)(13, 43)(14, 44)(15, 45)(16, 46)(17, 47)(18, 48)(19, 49)(20, 50)(21, 51)(22, 52)(23, 53)(24, 54)(25, 55)(26, 56)(27, 57)(28, 58)(29, 59)(30, 60)
	local type(s) :: { ( 30^10 ), ( 30^30 ) }
Outer automorphisms :: reflexible
Dual of E13.385
Transitivity :: ET+
Graph:: bipartite
	v = 4 e = 30 f = 2
	degree seq :: [ 10^3, 30 ]

E13.381 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {10, 15, 30})
Quotient :: edge
Aut^+ = C30 (small group id <30, 4>)
Aut   = D60 (small group id <60, 12>)
|r| :: 2
Presentation :: [ F^2, T2 * T1^-3, (F * T1)^2, (F * T2)^2, (T2^-1, T1^-1), T2^10, (T1^-1 * T2^-1)^15 ]
Map:: non-degenerate
	R = (1, 3, 9, 15, 21, 27, 23, 17, 11, 5)(2, 7, 13, 19, 25, 30, 26, 20, 14, 8)(4, 6, 12, 18, 24, 29, 28, 22, 16, 10)(31, 32, 36, 33, 37, 42, 39, 43, 48, 45, 49, 54, 51, 55, 59, 57, 60, 58, 53, 56, 52, 47, 50, 46, 41, 44, 40, 35, 38, 34)
	L = (1, 31)(2, 32)(3, 33)(4, 34)(5, 35)(6, 36)(7, 37)(8, 38)(9, 39)(10, 40)(11, 41)(12, 42)(13, 43)(14, 44)(15, 45)(16, 46)(17, 47)(18, 48)(19, 49)(20, 50)(21, 51)(22, 52)(23, 53)(24, 54)(25, 55)(26, 56)(27, 57)(28, 58)(29, 59)(30, 60)
	local type(s) :: { ( 30^10 ), ( 30^30 ) }
Outer automorphisms :: reflexible
Dual of E13.384
Transitivity :: ET+
Graph:: bipartite
	v = 4 e = 30 f = 2
	degree seq :: [ 10^3, 30 ]

E13.382 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {10, 15, 30})
Quotient :: edge
Aut^+ = C30 (small group id <30, 4>)
Aut   = D60 (small group id <60, 12>)
|r| :: 2
Presentation :: [ F^2, T2^-1 * T1^-3, (F * T1)^2, (F * T2)^2, (T2^-1, T1^-1), T2^10 ]
Map:: non-degenerate
	R = (1, 3, 9, 15, 21, 27, 23, 17, 11, 5)(2, 7, 13, 19, 25, 30, 26, 20, 14, 8)(4, 10, 16, 22, 28, 29, 24, 18, 12, 6)(31, 32, 36, 35, 38, 42, 41, 44, 48, 47, 50, 54, 53, 56, 59, 57, 60, 58, 51, 55, 52, 45, 49, 46, 39, 43, 40, 33, 37, 34)
	L = (1, 31)(2, 32)(3, 33)(4, 34)(5, 35)(6, 36)(7, 37)(8, 38)(9, 39)(10, 40)(11, 41)(12, 42)(13, 43)(14, 44)(15, 45)(16, 46)(17, 47)(18, 48)(19, 49)(20, 50)(21, 51)(22, 52)(23, 53)(24, 54)(25, 55)(26, 56)(27, 57)(28, 58)(29, 59)(30, 60)
	local type(s) :: { ( 30^10 ), ( 30^30 ) }
Outer automorphisms :: reflexible
Dual of E13.383
Transitivity :: ET+
Graph:: bipartite
	v = 4 e = 30 f = 2
	degree seq :: [ 10^3, 30 ]

E13.383 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {10, 15, 30})
Quotient :: loop
Aut^+ = C30 (small group id <30, 4>)
Aut   = D60 (small group id <60, 12>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, (T2^-1, T1^-1), T2^3 * T1^2, T1^-10, T1^10 ]
Map:: non-degenerate
	R = (1, 31, 3, 33, 9, 39, 11, 41, 18, 48, 23, 53, 25, 55, 30, 60, 27, 57, 20, 50, 22, 52, 15, 45, 6, 36, 13, 43, 5, 35)(2, 32, 7, 37, 12, 42, 4, 34, 10, 40, 17, 47, 19, 49, 24, 54, 29, 59, 26, 56, 28, 58, 21, 51, 14, 44, 16, 46, 8, 38)
	L = (1, 32)(2, 36)(3, 37)(4, 31)(5, 38)(6, 44)(7, 43)(8, 45)(9, 42)(10, 33)(11, 34)(12, 35)(13, 46)(14, 50)(15, 51)(16, 52)(17, 39)(18, 40)(19, 41)(20, 56)(21, 57)(22, 58)(23, 47)(24, 48)(25, 49)(26, 55)(27, 59)(28, 60)(29, 53)(30, 54)
	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 ) }
Outer automorphisms :: reflexible
Dual of E13.382
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 2 e = 30 f = 4
	degree seq :: [ 30^2 ]

E13.384 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {10, 15, 30})
Quotient :: loop
Aut^+ = C30 (small group id <30, 4>)
Aut   = D60 (small group id <60, 12>)
|r| :: 2
Presentation :: [ F^2, (T2^-1, T1^-1), (F * T1)^2, (F * T2)^2, T2 * T1 * T2 * T1^3 * T2, T2^-5 * T1 * T2^-1 * T1 ]
Map:: non-degenerate
	R = (1, 31, 3, 33, 9, 39, 19, 49, 27, 57, 16, 46, 6, 36, 15, 45, 23, 53, 11, 41, 21, 51, 29, 59, 25, 55, 13, 43, 5, 35)(2, 32, 7, 37, 17, 47, 22, 52, 30, 60, 26, 56, 14, 44, 24, 54, 12, 42, 4, 34, 10, 40, 20, 50, 28, 58, 18, 48, 8, 38)
	L = (1, 32)(2, 36)(3, 37)(4, 31)(5, 38)(6, 44)(7, 45)(8, 46)(9, 47)(10, 33)(11, 34)(12, 35)(13, 48)(14, 55)(15, 54)(16, 56)(17, 53)(18, 57)(19, 52)(20, 39)(21, 40)(22, 41)(23, 42)(24, 43)(25, 58)(26, 59)(27, 60)(28, 49)(29, 50)(30, 51)
	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 ) }
Outer automorphisms :: reflexible
Dual of E13.381
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 2 e = 30 f = 4
	degree seq :: [ 30^2 ]

E13.385 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {10, 15, 30})
Quotient :: loop
Aut^+ = C30 (small group id <30, 4>)
Aut   = D60 (small group id <60, 12>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, (T1^-1, T2^-1), T2 * T1^-1 * T2 * T1^-3 * T2, T2 * T1 * T2^5 * T1, T1^-1 * T2^5 * T1^-2 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 ]
Map:: non-degenerate
	R = (1, 31, 3, 33, 9, 39, 19, 49, 29, 59, 23, 53, 11, 41, 21, 51, 16, 46, 6, 36, 15, 45, 27, 57, 25, 55, 13, 43, 5, 35)(2, 32, 7, 37, 17, 47, 28, 58, 24, 54, 12, 42, 4, 34, 10, 40, 20, 50, 14, 44, 26, 56, 30, 60, 22, 52, 18, 48, 8, 38)
	L = (1, 32)(2, 36)(3, 37)(4, 31)(5, 38)(6, 44)(7, 45)(8, 46)(9, 47)(10, 33)(11, 34)(12, 35)(13, 48)(14, 49)(15, 56)(16, 50)(17, 57)(18, 51)(19, 58)(20, 39)(21, 40)(22, 41)(23, 42)(24, 43)(25, 52)(26, 59)(27, 60)(28, 55)(29, 54)(30, 53)
	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 ) }
Outer automorphisms :: reflexible
Dual of E13.380
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 2 e = 30 f = 4
	degree seq :: [ 30^2 ]

E13.386 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {10, 15, 30})
Quotient :: loop
Aut^+ = C30 (small group id <30, 4>)
Aut   = D60 (small group id <60, 12>)
|r| :: 2
Presentation :: [ F^2, T2 * T1^-1 * T2, (F * T2)^2, (F * T1)^2, T1^15, (T2^-1 * T1^-1)^10 ]
Map:: non-degenerate
	R = (1, 31, 3, 33, 2, 32, 7, 37, 6, 36, 11, 41, 10, 40, 15, 45, 14, 44, 19, 49, 18, 48, 23, 53, 22, 52, 27, 57, 26, 56, 30, 60, 28, 58, 29, 59, 24, 54, 25, 55, 20, 50, 21, 51, 16, 46, 17, 47, 12, 42, 13, 43, 8, 38, 9, 39, 4, 34, 5, 35)
	L = (1, 32)(2, 36)(3, 37)(4, 31)(5, 33)(6, 40)(7, 41)(8, 34)(9, 35)(10, 44)(11, 45)(12, 38)(13, 39)(14, 48)(15, 49)(16, 42)(17, 43)(18, 52)(19, 53)(20, 46)(21, 47)(22, 56)(23, 57)(24, 50)(25, 51)(26, 58)(27, 60)(28, 54)(29, 55)(30, 59)
	local type(s) :: { ( 10, 15, 10, 15, 10, 15, 10, 15, 10, 15, 10, 15, 10, 15, 10, 15, 10, 15, 10, 15, 10, 15, 10, 15, 10, 15, 10, 15, 10, 15, 10, 15, 10, 15, 10, 15, 10, 15, 10, 15, 10, 15, 10, 15, 10, 15, 10, 15, 10, 15, 10, 15, 10, 15, 10, 15, 10, 15, 10, 15 ) }
Outer automorphisms :: reflexible
Dual of E13.374
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 30 f = 5
	degree seq :: [ 60 ]

E13.387 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {10, 15, 30})
Quotient :: loop
Aut^+ = C30 (small group id <30, 4>)
Aut   = D60 (small group id <60, 12>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, (T2^-1, T1^-1), T2 * T1 * T2^3, T2 * T1^-1 * T2 * T1^-6 ]
Map:: non-degenerate
	R = (1, 31, 3, 33, 9, 39, 12, 42, 4, 34, 10, 40, 18, 48, 21, 51, 11, 41, 19, 49, 26, 56, 29, 59, 20, 50, 27, 57, 22, 52, 30, 60, 28, 58, 24, 54, 14, 44, 23, 53, 25, 55, 16, 46, 6, 36, 15, 45, 17, 47, 8, 38, 2, 32, 7, 37, 13, 43, 5, 35)
	L = (1, 32)(2, 36)(3, 37)(4, 31)(5, 38)(6, 44)(7, 45)(8, 46)(9, 43)(10, 33)(11, 34)(12, 35)(13, 47)(14, 52)(15, 53)(16, 54)(17, 55)(18, 39)(19, 40)(20, 41)(21, 42)(22, 56)(23, 60)(24, 57)(25, 58)(26, 48)(27, 49)(28, 50)(29, 51)(30, 59)
	local type(s) :: { ( 10, 15, 10, 15, 10, 15, 10, 15, 10, 15, 10, 15, 10, 15, 10, 15, 10, 15, 10, 15, 10, 15, 10, 15, 10, 15, 10, 15, 10, 15, 10, 15, 10, 15, 10, 15, 10, 15, 10, 15, 10, 15, 10, 15, 10, 15, 10, 15, 10, 15, 10, 15, 10, 15, 10, 15, 10, 15, 10, 15 ) }
Outer automorphisms :: reflexible
Dual of E13.375
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 30 f = 5
	degree seq :: [ 60 ]

E13.388 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {10, 15, 30})
Quotient :: loop
Aut^+ = C30 (small group id <30, 4>)
Aut   = D60 (small group id <60, 12>)
|r| :: 2
Presentation :: [ F^2, (T1, T2^-1), (F * T1)^2, (F * T2)^2, (T1^-2 * T2)^2, T1^-1 * T2^-1 * T1^-1 * T2^-5 * T1^-1, T1^-1 * T2^-2 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 ]
Map:: non-degenerate
	R = (1, 31, 3, 33, 9, 39, 19, 49, 27, 57, 26, 56, 18, 48, 8, 38, 2, 32, 7, 37, 17, 47, 25, 55, 28, 58, 20, 50, 11, 41, 16, 46, 6, 36, 15, 45, 24, 54, 29, 59, 21, 51, 12, 42, 4, 34, 10, 40, 14, 44, 23, 53, 30, 60, 22, 52, 13, 43, 5, 35)
	L = (1, 32)(2, 36)(3, 37)(4, 31)(5, 38)(6, 44)(7, 45)(8, 46)(9, 47)(10, 33)(11, 34)(12, 35)(13, 48)(14, 39)(15, 53)(16, 40)(17, 54)(18, 41)(19, 55)(20, 42)(21, 43)(22, 56)(23, 49)(24, 60)(25, 59)(26, 50)(27, 58)(28, 51)(29, 52)(30, 57)
	local type(s) :: { ( 10, 15, 10, 15, 10, 15, 10, 15, 10, 15, 10, 15, 10, 15, 10, 15, 10, 15, 10, 15, 10, 15, 10, 15, 10, 15, 10, 15, 10, 15, 10, 15, 10, 15, 10, 15, 10, 15, 10, 15, 10, 15, 10, 15, 10, 15, 10, 15, 10, 15, 10, 15, 10, 15, 10, 15, 10, 15, 10, 15 ) }
Outer automorphisms :: reflexible
Dual of E13.376
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 30 f = 5
	degree seq :: [ 60 ]

E13.389 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {10, 15, 30})
Quotient :: loop
Aut^+ = C30 (small group id <30, 4>)
Aut   = D60 (small group id <60, 12>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, (T2^-1, T1), T2^-3 * T1^3, T2^-1 * T1^-9, T2^10, T1^-1 * T2^-2 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 ]
Map:: non-degenerate
	R = (1, 31, 3, 33, 9, 39, 14, 44, 23, 53, 30, 60, 26, 56, 19, 49, 13, 43, 5, 35)(2, 32, 7, 37, 17, 47, 22, 52, 29, 59, 27, 57, 20, 50, 11, 41, 18, 48, 8, 38)(4, 34, 10, 40, 16, 46, 6, 36, 15, 45, 24, 54, 28, 58, 25, 55, 21, 51, 12, 42)
	L = (1, 32)(2, 36)(3, 37)(4, 31)(5, 38)(6, 44)(7, 45)(8, 46)(9, 47)(10, 33)(11, 34)(12, 35)(13, 48)(14, 52)(15, 53)(16, 39)(17, 54)(18, 40)(19, 41)(20, 42)(21, 43)(22, 58)(23, 59)(24, 60)(25, 49)(26, 50)(27, 51)(28, 56)(29, 55)(30, 57)
	local type(s) :: { ( 15, 30, 15, 30, 15, 30, 15, 30, 15, 30, 15, 30, 15, 30, 15, 30, 15, 30, 15, 30 ) }
Outer automorphisms :: reflexible
Dual of E13.379
Transitivity :: ET+ VT+ AT
Graph::
	v = 3 e = 30 f = 3
	degree seq :: [ 20^3 ]

E13.390 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {10, 15, 30})
Quotient :: loop
Aut^+ = C30 (small group id <30, 4>)
Aut   = D60 (small group id <60, 12>)
|r| :: 2
Presentation :: [ F^2, T2 * T1^-3, (F * T1)^2, (F * T2)^2, (T2^-1, T1^-1), T2^10, (T1^-1 * T2^-1)^15 ]
Map:: non-degenerate
	R = (1, 31, 3, 33, 9, 39, 15, 45, 21, 51, 27, 57, 23, 53, 17, 47, 11, 41, 5, 35)(2, 32, 7, 37, 13, 43, 19, 49, 25, 55, 30, 60, 26, 56, 20, 50, 14, 44, 8, 38)(4, 34, 6, 36, 12, 42, 18, 48, 24, 54, 29, 59, 28, 58, 22, 52, 16, 46, 10, 40)
	L = (1, 32)(2, 36)(3, 37)(4, 31)(5, 38)(6, 33)(7, 42)(8, 34)(9, 43)(10, 35)(11, 44)(12, 39)(13, 48)(14, 40)(15, 49)(16, 41)(17, 50)(18, 45)(19, 54)(20, 46)(21, 55)(22, 47)(23, 56)(24, 51)(25, 59)(26, 52)(27, 60)(28, 53)(29, 57)(30, 58)
	local type(s) :: { ( 15, 30, 15, 30, 15, 30, 15, 30, 15, 30, 15, 30, 15, 30, 15, 30, 15, 30, 15, 30 ) }
Outer automorphisms :: reflexible
Dual of E13.378
Transitivity :: ET+ VT+ AT
Graph::
	v = 3 e = 30 f = 3
	degree seq :: [ 20^3 ]

E13.391 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {10, 15, 30})
Quotient :: loop
Aut^+ = C30 (small group id <30, 4>)
Aut   = D60 (small group id <60, 12>)
|r| :: 2
Presentation :: [ F^2, T2^-1 * T1^-3, (F * T1)^2, (F * T2)^2, (T2^-1, T1^-1), T2^10 ]
Map:: non-degenerate
	R = (1, 31, 3, 33, 9, 39, 15, 45, 21, 51, 27, 57, 23, 53, 17, 47, 11, 41, 5, 35)(2, 32, 7, 37, 13, 43, 19, 49, 25, 55, 30, 60, 26, 56, 20, 50, 14, 44, 8, 38)(4, 34, 10, 40, 16, 46, 22, 52, 28, 58, 29, 59, 24, 54, 18, 48, 12, 42, 6, 36)
	L = (1, 32)(2, 36)(3, 37)(4, 31)(5, 38)(6, 35)(7, 34)(8, 42)(9, 43)(10, 33)(11, 44)(12, 41)(13, 40)(14, 48)(15, 49)(16, 39)(17, 50)(18, 47)(19, 46)(20, 54)(21, 55)(22, 45)(23, 56)(24, 53)(25, 52)(26, 59)(27, 60)(28, 51)(29, 57)(30, 58)
	local type(s) :: { ( 15, 30, 15, 30, 15, 30, 15, 30, 15, 30, 15, 30, 15, 30, 15, 30, 15, 30, 15, 30 ) }
Outer automorphisms :: reflexible
Dual of E13.377
Transitivity :: ET+ VT+ AT
Graph::
	v = 3 e = 30 f = 3
	degree seq :: [ 20^3 ]

E13.392 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {10, 15, 30})
Quotient :: dipole
Aut^+ = C30 (small group id <30, 4>)
Aut   = D60 (small group id <60, 12>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1^-1, Y1^2 * Y3^2, (R * Y3)^2, (Y3^-1, Y2^-1), (R * Y2)^2, (R * Y1)^2, (Y2^-1, Y1^-1), Y3^-2 * Y2^3, Y1^10, Y3^10 ]
Map::
	R = (1, 31, 2, 32, 6, 36, 14, 44, 20, 50, 26, 56, 25, 55, 19, 49, 11, 41, 4, 34)(3, 33, 7, 37, 13, 43, 16, 46, 22, 52, 28, 58, 30, 60, 24, 54, 18, 48, 10, 40)(5, 35, 8, 38, 15, 45, 21, 51, 27, 57, 29, 59, 23, 53, 17, 47, 9, 39, 12, 42)(61, 91, 63, 93, 69, 99, 71, 101, 78, 108, 83, 113, 85, 115, 90, 120, 87, 117, 80, 110, 82, 112, 75, 105, 66, 96, 73, 103, 65, 95)(62, 92, 67, 97, 72, 102, 64, 94, 70, 100, 77, 107, 79, 109, 84, 114, 89, 119, 86, 116, 88, 118, 81, 111, 74, 104, 76, 106, 68, 98)
	L = (1, 64)(2, 61)(3, 70)(4, 71)(5, 72)(6, 62)(7, 63)(8, 65)(9, 77)(10, 78)(11, 79)(12, 69)(13, 67)(14, 66)(15, 68)(16, 73)(17, 83)(18, 84)(19, 85)(20, 74)(21, 75)(22, 76)(23, 89)(24, 90)(25, 86)(26, 80)(27, 81)(28, 82)(29, 87)(30, 88)(31, 91)(32, 92)(33, 93)(34, 94)(35, 95)(36, 96)(37, 97)(38, 98)(39, 99)(40, 100)(41, 101)(42, 102)(43, 103)(44, 104)(45, 105)(46, 106)(47, 107)(48, 108)(49, 109)(50, 110)(51, 111)(52, 112)(53, 113)(54, 114)(55, 115)(56, 116)(57, 117)(58, 118)(59, 119)(60, 120)
	local type(s) :: { ( 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60 ), ( 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60 ) }
Outer automorphisms :: reflexible
Dual of E13.403
Graph:: bipartite
	v = 5 e = 60 f = 31
	degree seq :: [ 20^3, 30^2 ]

E13.393 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {10, 15, 30})
Quotient :: dipole
Aut^+ = C30 (small group id <30, 4>)
Aut   = D60 (small group id <60, 12>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1^-1, Y3^-1 * Y2^-1 * Y1^-1 * Y2, Y1^2 * Y3^2, (Y2^-1, Y1^-1), (R * Y3)^2, (R * Y2)^2, (R * Y1)^2, (Y3^-1, Y2^-1), Y3^-2 * Y2^-1 * Y1^-1 * Y2 * Y1^-1, Y3 * Y1^-2 * Y2^3 * Y3, Y3 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y3 * Y2, Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-4, Y2^54 * Y3^2 ]
Map::
	R = (1, 31, 2, 32, 6, 36, 14, 44, 19, 49, 28, 58, 25, 55, 22, 52, 11, 41, 4, 34)(3, 33, 7, 37, 15, 45, 26, 56, 29, 59, 24, 54, 13, 43, 18, 48, 21, 51, 10, 40)(5, 35, 8, 38, 16, 46, 20, 50, 9, 39, 17, 47, 27, 57, 30, 60, 23, 53, 12, 42)(61, 91, 63, 93, 69, 99, 79, 109, 89, 119, 83, 113, 71, 101, 81, 111, 76, 106, 66, 96, 75, 105, 87, 117, 85, 115, 73, 103, 65, 95)(62, 92, 67, 97, 77, 107, 88, 118, 84, 114, 72, 102, 64, 94, 70, 100, 80, 110, 74, 104, 86, 116, 90, 120, 82, 112, 78, 108, 68, 98)
	L = (1, 64)(2, 61)(3, 70)(4, 71)(5, 72)(6, 62)(7, 63)(8, 65)(9, 80)(10, 81)(11, 82)(12, 83)(13, 84)(14, 66)(15, 67)(16, 68)(17, 69)(18, 73)(19, 74)(20, 76)(21, 78)(22, 85)(23, 90)(24, 89)(25, 88)(26, 75)(27, 77)(28, 79)(29, 86)(30, 87)(31, 91)(32, 92)(33, 93)(34, 94)(35, 95)(36, 96)(37, 97)(38, 98)(39, 99)(40, 100)(41, 101)(42, 102)(43, 103)(44, 104)(45, 105)(46, 106)(47, 107)(48, 108)(49, 109)(50, 110)(51, 111)(52, 112)(53, 113)(54, 114)(55, 115)(56, 116)(57, 117)(58, 118)(59, 119)(60, 120)
	local type(s) :: { ( 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60 ), ( 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60 ) }
Outer automorphisms :: reflexible
Dual of E13.401
Graph:: bipartite
	v = 5 e = 60 f = 31
	degree seq :: [ 20^3, 30^2 ]

E13.394 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {10, 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, Y3 * Y1, Y3^-1 * Y1^-1, Y2^-1 * Y1 * Y2 * Y3, (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, Y2 * Y3^-2 * Y2^-1 * Y1^-2, Y2 * Y1 * Y2 * Y1^3 * Y2, Y2^2 * Y3 * 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 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * 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, 31, 2, 32, 6, 36, 14, 44, 25, 55, 28, 58, 19, 49, 22, 52, 11, 41, 4, 34)(3, 33, 7, 37, 15, 45, 24, 54, 13, 43, 18, 48, 27, 57, 30, 60, 21, 51, 10, 40)(5, 35, 8, 38, 16, 46, 26, 56, 29, 59, 20, 50, 9, 39, 17, 47, 23, 53, 12, 42)(61, 91, 63, 93, 69, 99, 79, 109, 87, 117, 76, 106, 66, 96, 75, 105, 83, 113, 71, 101, 81, 111, 89, 119, 85, 115, 73, 103, 65, 95)(62, 92, 67, 97, 77, 107, 82, 112, 90, 120, 86, 116, 74, 104, 84, 114, 72, 102, 64, 94, 70, 100, 80, 110, 88, 118, 78, 108, 68, 98)
	L = (1, 64)(2, 61)(3, 70)(4, 71)(5, 72)(6, 62)(7, 63)(8, 65)(9, 80)(10, 81)(11, 82)(12, 83)(13, 84)(14, 66)(15, 67)(16, 68)(17, 69)(18, 73)(19, 88)(20, 89)(21, 90)(22, 79)(23, 77)(24, 75)(25, 74)(26, 76)(27, 78)(28, 85)(29, 86)(30, 87)(31, 91)(32, 92)(33, 93)(34, 94)(35, 95)(36, 96)(37, 97)(38, 98)(39, 99)(40, 100)(41, 101)(42, 102)(43, 103)(44, 104)(45, 105)(46, 106)(47, 107)(48, 108)(49, 109)(50, 110)(51, 111)(52, 112)(53, 113)(54, 114)(55, 115)(56, 116)(57, 117)(58, 118)(59, 119)(60, 120)
	local type(s) :: { ( 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60 ), ( 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60 ) }
Outer automorphisms :: reflexible
Dual of E13.402
Graph:: bipartite
	v = 5 e = 60 f = 31
	degree seq :: [ 20^3, 30^2 ]

E13.395 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {10, 15, 30})
Quotient :: dipole
Aut^+ = C30 (small group id <30, 4>)
Aut   = D60 (small group id <60, 12>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, Y1 * Y2^-2, (R * Y1)^2, (R * Y3)^2, Y1^15, (Y3^-1 * Y1^-1)^10 ]
Map::
	R = (1, 31, 2, 32, 6, 36, 10, 40, 14, 44, 18, 48, 22, 52, 26, 56, 28, 58, 24, 54, 20, 50, 16, 46, 12, 42, 8, 38, 4, 34)(3, 33, 7, 37, 11, 41, 15, 45, 19, 49, 23, 53, 27, 57, 30, 60, 29, 59, 25, 55, 21, 51, 17, 47, 13, 43, 9, 39, 5, 35)(61, 91, 63, 93, 62, 92, 67, 97, 66, 96, 71, 101, 70, 100, 75, 105, 74, 104, 79, 109, 78, 108, 83, 113, 82, 112, 87, 117, 86, 116, 90, 120, 88, 118, 89, 119, 84, 114, 85, 115, 80, 110, 81, 111, 76, 106, 77, 107, 72, 102, 73, 103, 68, 98, 69, 99, 64, 94, 65, 95)
	L = (1, 63)(2, 67)(3, 62)(4, 65)(5, 61)(6, 71)(7, 66)(8, 69)(9, 64)(10, 75)(11, 70)(12, 73)(13, 68)(14, 79)(15, 74)(16, 77)(17, 72)(18, 83)(19, 78)(20, 81)(21, 76)(22, 87)(23, 82)(24, 85)(25, 80)(26, 90)(27, 86)(28, 89)(29, 84)(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) :: { ( 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20 ), ( 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 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 E13.399
Graph:: bipartite
	v = 3 e = 60 f = 33
	degree seq :: [ 30^2, 60 ]

E13.396 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {10, 15, 30})
Quotient :: dipole
Aut^+ = C30 (small group id <30, 4>)
Aut   = D60 (small group id <60, 12>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y2^-1, (R * Y1)^2, R * Y2 * R * Y3, (Y1, Y2^-1), Y2 * Y1 * Y2^3, Y2 * Y1^-1 * Y2 * Y1^-6, (Y3^-1 * Y1^-1)^10 ]
Map::
	R = (1, 31, 2, 32, 6, 36, 14, 44, 22, 52, 26, 56, 18, 48, 9, 39, 13, 43, 17, 47, 25, 55, 28, 58, 20, 50, 11, 41, 4, 34)(3, 33, 7, 37, 15, 45, 23, 53, 30, 60, 29, 59, 21, 51, 12, 42, 5, 35, 8, 38, 16, 46, 24, 54, 27, 57, 19, 49, 10, 40)(61, 91, 63, 93, 69, 99, 72, 102, 64, 94, 70, 100, 78, 108, 81, 111, 71, 101, 79, 109, 86, 116, 89, 119, 80, 110, 87, 117, 82, 112, 90, 120, 88, 118, 84, 114, 74, 104, 83, 113, 85, 115, 76, 106, 66, 96, 75, 105, 77, 107, 68, 98, 62, 92, 67, 97, 73, 103, 65, 95)
	L = (1, 63)(2, 67)(3, 69)(4, 70)(5, 61)(6, 75)(7, 73)(8, 62)(9, 72)(10, 78)(11, 79)(12, 64)(13, 65)(14, 83)(15, 77)(16, 66)(17, 68)(18, 81)(19, 86)(20, 87)(21, 71)(22, 90)(23, 85)(24, 74)(25, 76)(26, 89)(27, 82)(28, 84)(29, 80)(30, 88)(31, 91)(32, 92)(33, 93)(34, 94)(35, 95)(36, 96)(37, 97)(38, 98)(39, 99)(40, 100)(41, 101)(42, 102)(43, 103)(44, 104)(45, 105)(46, 106)(47, 107)(48, 108)(49, 109)(50, 110)(51, 111)(52, 112)(53, 113)(54, 114)(55, 115)(56, 116)(57, 117)(58, 118)(59, 119)(60, 120)
	local type(s) :: { ( 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20 ), ( 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 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 E13.400
Graph:: bipartite
	v = 3 e = 60 f = 33
	degree seq :: [ 30^2, 60 ]

E13.397 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {10, 15, 30})
Quotient :: dipole
Aut^+ = C30 (small group id <30, 4>)
Aut   = D60 (small group id <60, 12>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y2^-1, (R * Y1)^2, R * Y2 * R * Y3, (Y2^-1, Y1^-1), Y2 * Y1^-1 * Y2 * Y1^-3, Y2^-1 * Y1^-1 * Y2^-5 * Y1^-2, (Y3^-1 * Y1^-1)^10 ]
Map::
	R = (1, 31, 2, 32, 6, 36, 14, 44, 9, 39, 17, 47, 24, 54, 30, 60, 27, 57, 28, 58, 21, 51, 13, 43, 18, 48, 11, 41, 4, 34)(3, 33, 7, 37, 15, 45, 23, 53, 19, 49, 25, 55, 29, 59, 22, 52, 26, 56, 20, 50, 12, 42, 5, 35, 8, 38, 16, 46, 10, 40)(61, 91, 63, 93, 69, 99, 79, 109, 87, 117, 86, 116, 78, 108, 68, 98, 62, 92, 67, 97, 77, 107, 85, 115, 88, 118, 80, 110, 71, 101, 76, 106, 66, 96, 75, 105, 84, 114, 89, 119, 81, 111, 72, 102, 64, 94, 70, 100, 74, 104, 83, 113, 90, 120, 82, 112, 73, 103, 65, 95)
	L = (1, 63)(2, 67)(3, 69)(4, 70)(5, 61)(6, 75)(7, 77)(8, 62)(9, 79)(10, 74)(11, 76)(12, 64)(13, 65)(14, 83)(15, 84)(16, 66)(17, 85)(18, 68)(19, 87)(20, 71)(21, 72)(22, 73)(23, 90)(24, 89)(25, 88)(26, 78)(27, 86)(28, 80)(29, 81)(30, 82)(31, 91)(32, 92)(33, 93)(34, 94)(35, 95)(36, 96)(37, 97)(38, 98)(39, 99)(40, 100)(41, 101)(42, 102)(43, 103)(44, 104)(45, 105)(46, 106)(47, 107)(48, 108)(49, 109)(50, 110)(51, 111)(52, 112)(53, 113)(54, 114)(55, 115)(56, 116)(57, 117)(58, 118)(59, 119)(60, 120)
	local type(s) :: { ( 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20 ), ( 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 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 E13.398
Graph:: bipartite
	v = 3 e = 60 f = 33
	degree seq :: [ 30^2, 60 ]

E13.398 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {10, 15, 30})
Quotient :: dipole
Aut^+ = C30 (small group id <30, 4>)
Aut   = D60 (small group id <60, 12>)
|r| :: 2
Presentation :: [ Y1, R^2, (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, (Y3, Y2), Y2^-3 * Y3^-3, Y3^-3 * Y2^-3, Y2^-1 * Y3^9, Y2^10, Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-2, (Y3^-1 * Y1^-1)^30 ]
Map::
	R = (1, 31)(2, 32)(3, 33)(4, 34)(5, 35)(6, 36)(7, 37)(8, 38)(9, 39)(10, 40)(11, 41)(12, 42)(13, 43)(14, 44)(15, 45)(16, 46)(17, 47)(18, 48)(19, 49)(20, 50)(21, 51)(22, 52)(23, 53)(24, 54)(25, 55)(26, 56)(27, 57)(28, 58)(29, 59)(30, 60)(61, 91, 62, 92, 66, 96, 74, 104, 82, 112, 88, 118, 86, 116, 79, 109, 71, 101, 64, 94)(63, 93, 67, 97, 75, 105, 73, 103, 78, 108, 84, 114, 90, 120, 85, 115, 81, 111, 70, 100)(65, 95, 68, 98, 76, 106, 83, 113, 89, 119, 87, 117, 80, 110, 69, 99, 77, 107, 72, 102)
	L = (1, 63)(2, 67)(3, 69)(4, 70)(5, 61)(6, 75)(7, 77)(8, 62)(9, 79)(10, 80)(11, 81)(12, 64)(13, 65)(14, 73)(15, 72)(16, 66)(17, 71)(18, 68)(19, 85)(20, 86)(21, 87)(22, 78)(23, 74)(24, 76)(25, 89)(26, 90)(27, 88)(28, 84)(29, 82)(30, 83)(31, 91)(32, 92)(33, 93)(34, 94)(35, 95)(36, 96)(37, 97)(38, 98)(39, 99)(40, 100)(41, 101)(42, 102)(43, 103)(44, 104)(45, 105)(46, 106)(47, 107)(48, 108)(49, 109)(50, 110)(51, 111)(52, 112)(53, 113)(54, 114)(55, 115)(56, 116)(57, 117)(58, 118)(59, 119)(60, 120)
	local type(s) :: { ( 30, 60 ), ( 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60 ) }
Outer automorphisms :: reflexible
Dual of E13.397
Graph:: simple bipartite
	v = 33 e = 60 f = 3
	degree seq :: [ 2^30, 20^3 ]

E13.399 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {10, 15, 30})
Quotient :: dipole
Aut^+ = C30 (small group id <30, 4>)
Aut   = D60 (small group id <60, 12>)
|r| :: 2
Presentation :: [ Y1, R^2, Y3^-2 * Y2 * Y3^-1, (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, Y2^10, (Y3^-1 * Y1^-1)^30 ]
Map::
	R = (1, 31)(2, 32)(3, 33)(4, 34)(5, 35)(6, 36)(7, 37)(8, 38)(9, 39)(10, 40)(11, 41)(12, 42)(13, 43)(14, 44)(15, 45)(16, 46)(17, 47)(18, 48)(19, 49)(20, 50)(21, 51)(22, 52)(23, 53)(24, 54)(25, 55)(26, 56)(27, 57)(28, 58)(29, 59)(30, 60)(61, 91, 62, 92, 66, 96, 72, 102, 78, 108, 84, 114, 82, 112, 76, 106, 70, 100, 64, 94)(63, 93, 67, 97, 73, 103, 79, 109, 85, 115, 89, 119, 87, 117, 81, 111, 75, 105, 69, 99)(65, 95, 68, 98, 74, 104, 80, 110, 86, 116, 90, 120, 88, 118, 83, 113, 77, 107, 71, 101)
	L = (1, 63)(2, 67)(3, 68)(4, 69)(5, 61)(6, 73)(7, 74)(8, 62)(9, 65)(10, 75)(11, 64)(12, 79)(13, 80)(14, 66)(15, 71)(16, 81)(17, 70)(18, 85)(19, 86)(20, 72)(21, 77)(22, 87)(23, 76)(24, 89)(25, 90)(26, 78)(27, 83)(28, 82)(29, 88)(30, 84)(31, 91)(32, 92)(33, 93)(34, 94)(35, 95)(36, 96)(37, 97)(38, 98)(39, 99)(40, 100)(41, 101)(42, 102)(43, 103)(44, 104)(45, 105)(46, 106)(47, 107)(48, 108)(49, 109)(50, 110)(51, 111)(52, 112)(53, 113)(54, 114)(55, 115)(56, 116)(57, 117)(58, 118)(59, 119)(60, 120)
	local type(s) :: { ( 30, 60 ), ( 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60 ) }
Outer automorphisms :: reflexible
Dual of E13.395
Graph:: simple bipartite
	v = 33 e = 60 f = 3
	degree seq :: [ 2^30, 20^3 ]

E13.400 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {10, 15, 30})
Quotient :: dipole
Aut^+ = C30 (small group id <30, 4>)
Aut   = D60 (small group id <60, 12>)
|r| :: 2
Presentation :: [ Y1, R^2, Y2^-1 * Y3^-3, (Y2^-1 * R)^2, (R * Y3)^2, (R * Y1)^2, Y2^10, (Y3 * Y2^-1)^15, (Y3^-1 * Y1^-1)^30 ]
Map::
	R = (1, 31)(2, 32)(3, 33)(4, 34)(5, 35)(6, 36)(7, 37)(8, 38)(9, 39)(10, 40)(11, 41)(12, 42)(13, 43)(14, 44)(15, 45)(16, 46)(17, 47)(18, 48)(19, 49)(20, 50)(21, 51)(22, 52)(23, 53)(24, 54)(25, 55)(26, 56)(27, 57)(28, 58)(29, 59)(30, 60)(61, 91, 62, 92, 66, 96, 72, 102, 78, 108, 84, 114, 83, 113, 77, 107, 71, 101, 64, 94)(63, 93, 67, 97, 73, 103, 79, 109, 85, 115, 89, 119, 88, 118, 82, 112, 76, 106, 70, 100)(65, 95, 68, 98, 74, 104, 80, 110, 86, 116, 90, 120, 87, 117, 81, 111, 75, 105, 69, 99)
	L = (1, 63)(2, 67)(3, 69)(4, 70)(5, 61)(6, 73)(7, 65)(8, 62)(9, 64)(10, 75)(11, 76)(12, 79)(13, 68)(14, 66)(15, 71)(16, 81)(17, 82)(18, 85)(19, 74)(20, 72)(21, 77)(22, 87)(23, 88)(24, 89)(25, 80)(26, 78)(27, 83)(28, 90)(29, 86)(30, 84)(31, 91)(32, 92)(33, 93)(34, 94)(35, 95)(36, 96)(37, 97)(38, 98)(39, 99)(40, 100)(41, 101)(42, 102)(43, 103)(44, 104)(45, 105)(46, 106)(47, 107)(48, 108)(49, 109)(50, 110)(51, 111)(52, 112)(53, 113)(54, 114)(55, 115)(56, 116)(57, 117)(58, 118)(59, 119)(60, 120)
	local type(s) :: { ( 30, 60 ), ( 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60 ) }
Outer automorphisms :: reflexible
Dual of E13.396
Graph:: simple bipartite
	v = 33 e = 60 f = 3
	degree seq :: [ 2^30, 20^3 ]

E13.401 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {10, 15, 30})
Quotient :: dipole
Aut^+ = C30 (small group id <30, 4>)
Aut   = D60 (small group id <60, 12>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y1)^2, (R * Y3)^2, (Y1, Y3^-1), (R * Y2 * Y3^-1)^2, Y1 * Y3^-1 * Y1 * Y3^-2 * Y1, Y1^-4 * Y3^-1 * Y1^-5, (Y3 * Y2^-1)^10, (Y1^-1 * Y3^-1)^15 ]
Map::
	R = (1, 31, 2, 32, 6, 36, 14, 44, 22, 52, 28, 58, 26, 56, 20, 50, 12, 42, 5, 35, 8, 38, 16, 46, 9, 39, 17, 47, 24, 54, 30, 60, 27, 57, 21, 51, 13, 43, 18, 48, 10, 40, 3, 33, 7, 37, 15, 45, 23, 53, 29, 59, 25, 55, 19, 49, 11, 41, 4, 34)(61, 91)(62, 92)(63, 93)(64, 94)(65, 95)(66, 96)(67, 97)(68, 98)(69, 99)(70, 100)(71, 101)(72, 102)(73, 103)(74, 104)(75, 105)(76, 106)(77, 107)(78, 108)(79, 109)(80, 110)(81, 111)(82, 112)(83, 113)(84, 114)(85, 115)(86, 116)(87, 117)(88, 118)(89, 119)(90, 120)
	L = (1, 63)(2, 67)(3, 69)(4, 70)(5, 61)(6, 75)(7, 77)(8, 62)(9, 74)(10, 76)(11, 78)(12, 64)(13, 65)(14, 83)(15, 84)(16, 66)(17, 82)(18, 68)(19, 73)(20, 71)(21, 72)(22, 89)(23, 90)(24, 88)(25, 81)(26, 79)(27, 80)(28, 85)(29, 87)(30, 86)(31, 91)(32, 92)(33, 93)(34, 94)(35, 95)(36, 96)(37, 97)(38, 98)(39, 99)(40, 100)(41, 101)(42, 102)(43, 103)(44, 104)(45, 105)(46, 106)(47, 107)(48, 108)(49, 109)(50, 110)(51, 111)(52, 112)(53, 113)(54, 114)(55, 115)(56, 116)(57, 117)(58, 118)(59, 119)(60, 120)
	local type(s) :: { ( 20, 30 ), ( 20, 30, 20, 30, 20, 30, 20, 30, 20, 30, 20, 30, 20, 30, 20, 30, 20, 30, 20, 30, 20, 30, 20, 30, 20, 30, 20, 30, 20, 30, 20, 30, 20, 30, 20, 30, 20, 30, 20, 30, 20, 30, 20, 30, 20, 30, 20, 30, 20, 30, 20, 30, 20, 30, 20, 30, 20, 30, 20, 30 ) }
Outer automorphisms :: reflexible
Dual of E13.393
Graph:: bipartite
	v = 31 e = 60 f = 5
	degree seq :: [ 2^30, 60 ]

E13.402 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {10, 15, 30})
Quotient :: dipole
Aut^+ = C30 (small group id <30, 4>)
Aut   = D60 (small group id <60, 12>)
|r| :: 2
Presentation :: [ Y2, R^2, Y3 * Y1^-3, (R * Y1)^2, (R * Y3)^2, (Y3^-1, Y1^-1), (R * Y2 * Y3^-1)^2, Y3^10, (Y3 * Y2^-1)^10, (Y1^-1 * Y3^-1)^15 ]
Map::
	R = (1, 31, 2, 32, 6, 36, 3, 33, 7, 37, 12, 42, 9, 39, 13, 43, 18, 48, 15, 45, 19, 49, 24, 54, 21, 51, 25, 55, 29, 59, 27, 57, 30, 60, 28, 58, 23, 53, 26, 56, 22, 52, 17, 47, 20, 50, 16, 46, 11, 41, 14, 44, 10, 40, 5, 35, 8, 38, 4, 34)(61, 91)(62, 92)(63, 93)(64, 94)(65, 95)(66, 96)(67, 97)(68, 98)(69, 99)(70, 100)(71, 101)(72, 102)(73, 103)(74, 104)(75, 105)(76, 106)(77, 107)(78, 108)(79, 109)(80, 110)(81, 111)(82, 112)(83, 113)(84, 114)(85, 115)(86, 116)(87, 117)(88, 118)(89, 119)(90, 120)
	L = (1, 63)(2, 67)(3, 69)(4, 66)(5, 61)(6, 72)(7, 73)(8, 62)(9, 75)(10, 64)(11, 65)(12, 78)(13, 79)(14, 68)(15, 81)(16, 70)(17, 71)(18, 84)(19, 85)(20, 74)(21, 87)(22, 76)(23, 77)(24, 89)(25, 90)(26, 80)(27, 83)(28, 82)(29, 88)(30, 86)(31, 91)(32, 92)(33, 93)(34, 94)(35, 95)(36, 96)(37, 97)(38, 98)(39, 99)(40, 100)(41, 101)(42, 102)(43, 103)(44, 104)(45, 105)(46, 106)(47, 107)(48, 108)(49, 109)(50, 110)(51, 111)(52, 112)(53, 113)(54, 114)(55, 115)(56, 116)(57, 117)(58, 118)(59, 119)(60, 120)
	local type(s) :: { ( 20, 30 ), ( 20, 30, 20, 30, 20, 30, 20, 30, 20, 30, 20, 30, 20, 30, 20, 30, 20, 30, 20, 30, 20, 30, 20, 30, 20, 30, 20, 30, 20, 30, 20, 30, 20, 30, 20, 30, 20, 30, 20, 30, 20, 30, 20, 30, 20, 30, 20, 30, 20, 30, 20, 30, 20, 30, 20, 30, 20, 30, 20, 30 ) }
Outer automorphisms :: reflexible
Dual of E13.394
Graph:: bipartite
	v = 31 e = 60 f = 5
	degree seq :: [ 2^30, 60 ]

E13.403 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {10, 15, 30})
Quotient :: dipole
Aut^+ = C30 (small group id <30, 4>)
Aut   = D60 (small group id <60, 12>)
|r| :: 2
Presentation :: [ Y2, R^2, Y3^-1 * Y1^-3, (R * Y1)^2, (R * Y3)^2, (Y3^-1, Y1^-1), (R * Y2 * Y3^-1)^2, Y3^10, (Y3 * Y2^-1)^10 ]
Map::
	R = (1, 31, 2, 32, 6, 36, 5, 35, 8, 38, 12, 42, 11, 41, 14, 44, 18, 48, 17, 47, 20, 50, 24, 54, 23, 53, 26, 56, 29, 59, 27, 57, 30, 60, 28, 58, 21, 51, 25, 55, 22, 52, 15, 45, 19, 49, 16, 46, 9, 39, 13, 43, 10, 40, 3, 33, 7, 37, 4, 34)(61, 91)(62, 92)(63, 93)(64, 94)(65, 95)(66, 96)(67, 97)(68, 98)(69, 99)(70, 100)(71, 101)(72, 102)(73, 103)(74, 104)(75, 105)(76, 106)(77, 107)(78, 108)(79, 109)(80, 110)(81, 111)(82, 112)(83, 113)(84, 114)(85, 115)(86, 116)(87, 117)(88, 118)(89, 119)(90, 120)
	L = (1, 63)(2, 67)(3, 69)(4, 70)(5, 61)(6, 64)(7, 73)(8, 62)(9, 75)(10, 76)(11, 65)(12, 66)(13, 79)(14, 68)(15, 81)(16, 82)(17, 71)(18, 72)(19, 85)(20, 74)(21, 87)(22, 88)(23, 77)(24, 78)(25, 90)(26, 80)(27, 83)(28, 89)(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) :: { ( 20, 30 ), ( 20, 30, 20, 30, 20, 30, 20, 30, 20, 30, 20, 30, 20, 30, 20, 30, 20, 30, 20, 30, 20, 30, 20, 30, 20, 30, 20, 30, 20, 30, 20, 30, 20, 30, 20, 30, 20, 30, 20, 30, 20, 30, 20, 30, 20, 30, 20, 30, 20, 30, 20, 30, 20, 30, 20, 30, 20, 30, 20, 30 ) }
Outer automorphisms :: reflexible
Dual of E13.392
Graph:: bipartite
	v = 31 e = 60 f = 5
	degree seq :: [ 2^30, 60 ]

E13.404 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {10, 15, 30})
Quotient :: dipole
Aut^+ = C30 (small group id <30, 4>)
Aut   = D60 (small group id <60, 12>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y1, Y1 * Y3, (R * Y3)^2, (Y2^-1, Y1^-1), (R * Y2)^2, (Y2^-1, Y3^-1), (R * Y1)^2, Y3 * Y2^3 * Y1^-2, Y2^-2 * Y3 * Y2^-2 * Y3 * Y1^-2 * Y2^-2, Y1^10, (Y2^-1 * Y3)^15, (Y3^-1 * Y1^2)^10 ]
Map::
	R = (1, 31, 2, 32, 6, 36, 14, 44, 22, 52, 28, 58, 25, 55, 19, 49, 11, 41, 4, 34)(3, 33, 7, 37, 15, 45, 23, 53, 29, 59, 27, 57, 21, 51, 13, 43, 18, 48, 10, 40)(5, 35, 8, 38, 16, 46, 9, 39, 17, 47, 24, 54, 30, 60, 26, 56, 20, 50, 12, 42)(61, 91, 63, 93, 69, 99, 74, 104, 83, 113, 90, 120, 85, 115, 81, 111, 72, 102, 64, 94, 70, 100, 76, 106, 66, 96, 75, 105, 84, 114, 88, 118, 87, 117, 80, 110, 71, 101, 78, 108, 68, 98, 62, 92, 67, 97, 77, 107, 82, 112, 89, 119, 86, 116, 79, 109, 73, 103, 65, 95)
	L = (1, 64)(2, 61)(3, 70)(4, 71)(5, 72)(6, 62)(7, 63)(8, 65)(9, 76)(10, 78)(11, 79)(12, 80)(13, 81)(14, 66)(15, 67)(16, 68)(17, 69)(18, 73)(19, 85)(20, 86)(21, 87)(22, 74)(23, 75)(24, 77)(25, 88)(26, 90)(27, 89)(28, 82)(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) :: { ( 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30 ), ( 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 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 E13.409
Graph:: bipartite
	v = 4 e = 60 f = 32
	degree seq :: [ 20^3, 60 ]

E13.405 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {10, 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, Y2^-3 * Y1^-1, (Y2^-1, Y1^-1), (R * Y1)^2, (R * Y3)^2, (R * Y2)^2, (Y3^-1, Y2^-1), Y1^10, Y2^-1 * Y3^2 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 ]
Map::
	R = (1, 31, 2, 32, 6, 36, 12, 42, 18, 48, 24, 54, 23, 53, 17, 47, 11, 41, 4, 34)(3, 33, 7, 37, 13, 43, 19, 49, 25, 55, 29, 59, 28, 58, 22, 52, 16, 46, 10, 40)(5, 35, 8, 38, 14, 44, 20, 50, 26, 56, 30, 60, 27, 57, 21, 51, 15, 45, 9, 39)(61, 91, 63, 93, 69, 99, 64, 94, 70, 100, 75, 105, 71, 101, 76, 106, 81, 111, 77, 107, 82, 112, 87, 117, 83, 113, 88, 118, 90, 120, 84, 114, 89, 119, 86, 116, 78, 108, 85, 115, 80, 110, 72, 102, 79, 109, 74, 104, 66, 96, 73, 103, 68, 98, 62, 92, 67, 97, 65, 95)
	L = (1, 64)(2, 61)(3, 70)(4, 71)(5, 69)(6, 62)(7, 63)(8, 65)(9, 75)(10, 76)(11, 77)(12, 66)(13, 67)(14, 68)(15, 81)(16, 82)(17, 83)(18, 72)(19, 73)(20, 74)(21, 87)(22, 88)(23, 84)(24, 78)(25, 79)(26, 80)(27, 90)(28, 89)(29, 85)(30, 86)(31, 91)(32, 92)(33, 93)(34, 94)(35, 95)(36, 96)(37, 97)(38, 98)(39, 99)(40, 100)(41, 101)(42, 102)(43, 103)(44, 104)(45, 105)(46, 106)(47, 107)(48, 108)(49, 109)(50, 110)(51, 111)(52, 112)(53, 113)(54, 114)(55, 115)(56, 116)(57, 117)(58, 118)(59, 119)(60, 120)
	local type(s) :: { ( 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30 ), ( 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 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 E13.407
Graph:: bipartite
	v = 4 e = 60 f = 32
	degree seq :: [ 20^3, 60 ]

E13.406 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {10, 15, 30})
Quotient :: dipole
Aut^+ = C30 (small group id <30, 4>)
Aut   = D60 (small group id <60, 12>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1^-1, Y2^3 * Y1^-1, (R * Y3)^2, (R * Y2)^2, (R * Y1)^2, (Y2^-1, Y1^-1), (Y3^-1, Y2^-1), Y1^10, Y2^-1 * Y3^2 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 ]
Map::
	R = (1, 31, 2, 32, 6, 36, 12, 42, 18, 48, 24, 54, 22, 52, 16, 46, 10, 40, 4, 34)(3, 33, 7, 37, 13, 43, 19, 49, 25, 55, 29, 59, 27, 57, 21, 51, 15, 45, 9, 39)(5, 35, 8, 38, 14, 44, 20, 50, 26, 56, 30, 60, 28, 58, 23, 53, 17, 47, 11, 41)(61, 91, 63, 93, 68, 98, 62, 92, 67, 97, 74, 104, 66, 96, 73, 103, 80, 110, 72, 102, 79, 109, 86, 116, 78, 108, 85, 115, 90, 120, 84, 114, 89, 119, 88, 118, 82, 112, 87, 117, 83, 113, 76, 106, 81, 111, 77, 107, 70, 100, 75, 105, 71, 101, 64, 94, 69, 99, 65, 95)
	L = (1, 64)(2, 61)(3, 69)(4, 70)(5, 71)(6, 62)(7, 63)(8, 65)(9, 75)(10, 76)(11, 77)(12, 66)(13, 67)(14, 68)(15, 81)(16, 82)(17, 83)(18, 72)(19, 73)(20, 74)(21, 87)(22, 84)(23, 88)(24, 78)(25, 79)(26, 80)(27, 89)(28, 90)(29, 85)(30, 86)(31, 91)(32, 92)(33, 93)(34, 94)(35, 95)(36, 96)(37, 97)(38, 98)(39, 99)(40, 100)(41, 101)(42, 102)(43, 103)(44, 104)(45, 105)(46, 106)(47, 107)(48, 108)(49, 109)(50, 110)(51, 111)(52, 112)(53, 113)(54, 114)(55, 115)(56, 116)(57, 117)(58, 118)(59, 119)(60, 120)
	local type(s) :: { ( 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30 ), ( 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 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 E13.408
Graph:: bipartite
	v = 4 e = 60 f = 32
	degree seq :: [ 20^3, 60 ]

E13.407 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {10, 15, 30})
Quotient :: dipole
Aut^+ = C30 (small group id <30, 4>)
Aut   = D60 (small group id <60, 12>)
|r| :: 2
Presentation :: [ Y2, R^2, Y1 * Y3^-2, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, Y1^15, (Y3^-1 * Y1^-1)^10, (Y3 * Y2^-1)^30 ]
Map::
	R = (1, 31, 2, 32, 6, 36, 10, 40, 14, 44, 18, 48, 22, 52, 26, 56, 28, 58, 24, 54, 20, 50, 16, 46, 12, 42, 8, 38, 4, 34)(3, 33, 7, 37, 11, 41, 15, 45, 19, 49, 23, 53, 27, 57, 30, 60, 29, 59, 25, 55, 21, 51, 17, 47, 13, 43, 9, 39, 5, 35)(61, 91)(62, 92)(63, 93)(64, 94)(65, 95)(66, 96)(67, 97)(68, 98)(69, 99)(70, 100)(71, 101)(72, 102)(73, 103)(74, 104)(75, 105)(76, 106)(77, 107)(78, 108)(79, 109)(80, 110)(81, 111)(82, 112)(83, 113)(84, 114)(85, 115)(86, 116)(87, 117)(88, 118)(89, 119)(90, 120)
	L = (1, 63)(2, 67)(3, 62)(4, 65)(5, 61)(6, 71)(7, 66)(8, 69)(9, 64)(10, 75)(11, 70)(12, 73)(13, 68)(14, 79)(15, 74)(16, 77)(17, 72)(18, 83)(19, 78)(20, 81)(21, 76)(22, 87)(23, 82)(24, 85)(25, 80)(26, 90)(27, 86)(28, 89)(29, 84)(30, 88)(31, 91)(32, 92)(33, 93)(34, 94)(35, 95)(36, 96)(37, 97)(38, 98)(39, 99)(40, 100)(41, 101)(42, 102)(43, 103)(44, 104)(45, 105)(46, 106)(47, 107)(48, 108)(49, 109)(50, 110)(51, 111)(52, 112)(53, 113)(54, 114)(55, 115)(56, 116)(57, 117)(58, 118)(59, 119)(60, 120)
	local type(s) :: { ( 20, 60 ), ( 20, 60, 20, 60, 20, 60, 20, 60, 20, 60, 20, 60, 20, 60, 20, 60, 20, 60, 20, 60, 20, 60, 20, 60, 20, 60, 20, 60, 20, 60 ) }
Outer automorphisms :: reflexible
Dual of E13.405
Graph:: simple bipartite
	v = 32 e = 60 f = 4
	degree seq :: [ 2^30, 30^2 ]

E13.408 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {10, 15, 30})
Quotient :: dipole
Aut^+ = C30 (small group id <30, 4>)
Aut   = D60 (small group id <60, 12>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y1)^2, (R * Y3)^2, (Y3^-1, Y1^-1), Y3^4 * Y1, (R * Y2 * Y3^-1)^2, Y1^2 * Y3^-1 * Y1^4 * Y3^-1 * Y1, Y1^15, (Y3 * Y2^-1)^30 ]
Map::
	R = (1, 31, 2, 32, 6, 36, 14, 44, 22, 52, 26, 56, 18, 48, 9, 39, 13, 43, 17, 47, 25, 55, 28, 58, 20, 50, 11, 41, 4, 34)(3, 33, 7, 37, 15, 45, 23, 53, 30, 60, 29, 59, 21, 51, 12, 42, 5, 35, 8, 38, 16, 46, 24, 54, 27, 57, 19, 49, 10, 40)(61, 91)(62, 92)(63, 93)(64, 94)(65, 95)(66, 96)(67, 97)(68, 98)(69, 99)(70, 100)(71, 101)(72, 102)(73, 103)(74, 104)(75, 105)(76, 106)(77, 107)(78, 108)(79, 109)(80, 110)(81, 111)(82, 112)(83, 113)(84, 114)(85, 115)(86, 116)(87, 117)(88, 118)(89, 119)(90, 120)
	L = (1, 63)(2, 67)(3, 69)(4, 70)(5, 61)(6, 75)(7, 73)(8, 62)(9, 72)(10, 78)(11, 79)(12, 64)(13, 65)(14, 83)(15, 77)(16, 66)(17, 68)(18, 81)(19, 86)(20, 87)(21, 71)(22, 90)(23, 85)(24, 74)(25, 76)(26, 89)(27, 82)(28, 84)(29, 80)(30, 88)(31, 91)(32, 92)(33, 93)(34, 94)(35, 95)(36, 96)(37, 97)(38, 98)(39, 99)(40, 100)(41, 101)(42, 102)(43, 103)(44, 104)(45, 105)(46, 106)(47, 107)(48, 108)(49, 109)(50, 110)(51, 111)(52, 112)(53, 113)(54, 114)(55, 115)(56, 116)(57, 117)(58, 118)(59, 119)(60, 120)
	local type(s) :: { ( 20, 60 ), ( 20, 60, 20, 60, 20, 60, 20, 60, 20, 60, 20, 60, 20, 60, 20, 60, 20, 60, 20, 60, 20, 60, 20, 60, 20, 60, 20, 60, 20, 60 ) }
Outer automorphisms :: reflexible
Dual of E13.406
Graph:: simple bipartite
	v = 32 e = 60 f = 4
	degree seq :: [ 2^30, 30^2 ]

E13.409 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {10, 15, 30})
Quotient :: dipole
Aut^+ = C30 (small group id <30, 4>)
Aut   = D60 (small group id <60, 12>)
|r| :: 2
Presentation :: [ Y2, R^2, (Y1, Y3^-1), (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, Y1^-1 * Y3 * Y1^-3 * Y3, Y1 * Y3 * Y1 * Y3^5 * Y1, Y3^2 * Y1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^3 * Y1^-2, (Y3 * Y2^-1)^30 ]
Map::
	R = (1, 31, 2, 32, 6, 36, 14, 44, 9, 39, 17, 47, 24, 54, 30, 60, 27, 57, 28, 58, 21, 51, 13, 43, 18, 48, 11, 41, 4, 34)(3, 33, 7, 37, 15, 45, 23, 53, 19, 49, 25, 55, 29, 59, 22, 52, 26, 56, 20, 50, 12, 42, 5, 35, 8, 38, 16, 46, 10, 40)(61, 91)(62, 92)(63, 93)(64, 94)(65, 95)(66, 96)(67, 97)(68, 98)(69, 99)(70, 100)(71, 101)(72, 102)(73, 103)(74, 104)(75, 105)(76, 106)(77, 107)(78, 108)(79, 109)(80, 110)(81, 111)(82, 112)(83, 113)(84, 114)(85, 115)(86, 116)(87, 117)(88, 118)(89, 119)(90, 120)
	L = (1, 63)(2, 67)(3, 69)(4, 70)(5, 61)(6, 75)(7, 77)(8, 62)(9, 79)(10, 74)(11, 76)(12, 64)(13, 65)(14, 83)(15, 84)(16, 66)(17, 85)(18, 68)(19, 87)(20, 71)(21, 72)(22, 73)(23, 90)(24, 89)(25, 88)(26, 78)(27, 86)(28, 80)(29, 81)(30, 82)(31, 91)(32, 92)(33, 93)(34, 94)(35, 95)(36, 96)(37, 97)(38, 98)(39, 99)(40, 100)(41, 101)(42, 102)(43, 103)(44, 104)(45, 105)(46, 106)(47, 107)(48, 108)(49, 109)(50, 110)(51, 111)(52, 112)(53, 113)(54, 114)(55, 115)(56, 116)(57, 117)(58, 118)(59, 119)(60, 120)
	local type(s) :: { ( 20, 60 ), ( 20, 60, 20, 60, 20, 60, 20, 60, 20, 60, 20, 60, 20, 60, 20, 60, 20, 60, 20, 60, 20, 60, 20, 60, 20, 60, 20, 60, 20, 60 ) }
Outer automorphisms :: reflexible
Dual of E13.404
Graph:: simple bipartite
	v = 32 e = 60 f = 4
	degree seq :: [ 2^30, 30^2 ]

E13.410 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 4, 4})
Quotient :: dipole
Aut^+ = (C4 x C2) : C4 (small group id <32, 2>)
Aut   = (C2 x C2 x D8) : C2 (small group id <64, 73>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y1 * Y3^-2, (R * Y1)^2, (R * Y3)^2, Y1 * Y2^-1 * Y1 * Y2, Y2^4, (R * Y2 * Y3^-1)^2, (Y2^-1 * R * Y2^-1)^2, Y3 * Y2^-2 * Y3^-1 * Y2^-2, (Y3 * Y2)^4 ]
Map:: non-degenerate
	R = (1, 33, 2, 34)(3, 35, 7, 39)(4, 36, 6, 38)(5, 37, 8, 40)(9, 41, 18, 50)(10, 42, 11, 43)(12, 44, 16, 48)(13, 45, 17, 49)(14, 46, 15, 47)(19, 51, 20, 52)(21, 53, 23, 55)(22, 54, 24, 56)(25, 57, 26, 58)(27, 59, 28, 60)(29, 61, 30, 62)(31, 63, 32, 64)(65, 97, 67, 99, 73, 105, 69, 101)(66, 98, 71, 103, 82, 114, 72, 104)(68, 100, 76, 108, 83, 115, 77, 109)(70, 102, 80, 112, 84, 116, 81, 113)(74, 106, 85, 117, 78, 110, 86, 118)(75, 107, 87, 119, 79, 111, 88, 120)(89, 121, 93, 125, 91, 123, 95, 127)(90, 122, 94, 126, 92, 124, 96, 128)
	L = (1, 68)(2, 70)(3, 74)(4, 66)(5, 78)(6, 65)(7, 75)(8, 79)(9, 83)(10, 71)(11, 67)(12, 89)(13, 91)(14, 72)(15, 69)(16, 90)(17, 92)(18, 84)(19, 82)(20, 73)(21, 93)(22, 95)(23, 94)(24, 96)(25, 80)(26, 76)(27, 81)(28, 77)(29, 87)(30, 85)(31, 88)(32, 86)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 8^4 ), ( 8^8 ) }
Outer automorphisms :: reflexible
Dual of E13.412
Graph:: simple bipartite
	v = 24 e = 64 f = 16
	degree seq :: [ 4^16, 8^8 ]

E13.411 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 4, 4})
Quotient :: dipole
Aut^+ = (C4 x C2) : C4 (small group id <32, 2>)
Aut   = (C2 x C2 x D8) : C2 (small group id <64, 73>)
|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, Y3^4, Y2 * Y1 * Y3^2 * Y2, Y3 * Y1 * Y2^2 * Y3, (R * Y2 * Y3^-1)^2, (Y2^-1 * R * Y2^-1)^2, (Y3 * Y2^-1)^4 ]
Map:: polytopal non-degenerate
	R = (1, 33, 2, 34)(3, 35, 7, 39)(4, 36, 8, 40)(5, 37, 9, 41)(6, 38, 10, 42)(11, 43, 15, 47)(12, 44, 18, 50)(13, 45, 17, 49)(14, 46, 20, 52)(16, 48, 19, 51)(21, 53, 24, 56)(22, 54, 23, 55)(25, 57, 28, 60)(26, 58, 27, 59)(29, 61, 32, 64)(30, 62, 31, 63)(65, 97, 67, 99, 75, 107, 69, 101)(66, 98, 71, 103, 79, 111, 73, 105)(68, 100, 78, 110, 74, 106, 80, 112)(70, 102, 83, 115, 72, 104, 84, 116)(76, 108, 85, 117, 81, 113, 86, 118)(77, 109, 87, 119, 82, 114, 88, 120)(89, 121, 93, 125, 91, 123, 95, 127)(90, 122, 94, 126, 92, 124, 96, 128)
	L = (1, 68)(2, 72)(3, 76)(4, 79)(5, 81)(6, 65)(7, 82)(8, 75)(9, 77)(10, 66)(11, 74)(12, 73)(13, 67)(14, 89)(15, 70)(16, 91)(17, 71)(18, 69)(19, 90)(20, 92)(21, 93)(22, 95)(23, 94)(24, 96)(25, 83)(26, 78)(27, 84)(28, 80)(29, 87)(30, 85)(31, 88)(32, 86)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 8^4 ), ( 8^8 ) }
Outer automorphisms :: reflexible
Dual of E13.413
Graph:: simple bipartite
	v = 24 e = 64 f = 16
	degree seq :: [ 4^16, 8^8 ]

E13.412 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 4, 4})
Quotient :: dipole
Aut^+ = (C4 x C2) : C4 (small group id <32, 2>)
Aut   = (C2 x C2 x D8) : C2 (small group id <64, 73>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y1^-1, Y2^4, (R * Y1)^2, Y1^4, (R * Y3)^2, (Y3^-1 * Y1^-1)^2, Y1 * Y2^-1 * Y1^2 * Y2 * Y1, (R * Y2 * Y3^-1)^2, Y2 * Y1 * Y2^2 * Y1^-1 * Y2, (Y2^-1 * R * Y2^-1)^2, Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1, (Y3 * Y2^-1)^4, (Y2^-1, Y1^-1)^2 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 6, 38, 4, 36)(3, 35, 9, 41, 16, 48, 11, 43)(5, 37, 14, 46, 17, 49, 15, 47)(7, 39, 18, 50, 12, 44, 20, 52)(8, 40, 21, 53, 13, 45, 22, 54)(10, 42, 19, 51, 28, 60, 25, 57)(23, 55, 29, 61, 26, 58, 31, 63)(24, 56, 30, 62, 27, 59, 32, 64)(65, 97, 67, 99, 74, 106, 69, 101)(66, 98, 71, 103, 83, 115, 72, 104)(68, 100, 76, 108, 89, 121, 77, 109)(70, 102, 80, 112, 92, 124, 81, 113)(73, 105, 87, 119, 78, 110, 88, 120)(75, 107, 90, 122, 79, 111, 91, 123)(82, 114, 93, 125, 85, 117, 94, 126)(84, 116, 95, 127, 86, 118, 96, 128)
	L = (1, 66)(2, 70)(3, 73)(4, 65)(5, 78)(6, 68)(7, 82)(8, 85)(9, 80)(10, 83)(11, 67)(12, 84)(13, 86)(14, 81)(15, 69)(16, 75)(17, 79)(18, 76)(19, 92)(20, 71)(21, 77)(22, 72)(23, 93)(24, 94)(25, 74)(26, 95)(27, 96)(28, 89)(29, 90)(30, 91)(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) :: { ( 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E13.410
Graph:: bipartite
	v = 16 e = 64 f = 24
	degree seq :: [ 8^16 ]

E13.413 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 4, 4})
Quotient :: dipole
Aut^+ = (C4 x C2) : C4 (small group id <32, 2>)
Aut   = (C2 x C2 x D8) : C2 (small group id <64, 73>)
|r| :: 2
Presentation :: [ R^2, Y1^2 * Y3^2, Y1^2 * Y3^-2, (Y1^-1, Y3), Y2^4, (R * Y1)^2, Y1^4, Y2 * Y3 * Y2^-1 * Y1^-1, (R * Y3)^2, Y3 * Y2 * Y1^-1 * Y2^-1, (R * Y2 * Y3^-1)^2, (Y2^-1 * Y1)^4 ]
Map:: polytopal non-degenerate
	R = (1, 33, 2, 34, 8, 40, 5, 37)(3, 35, 13, 45, 20, 52, 15, 47)(4, 36, 10, 42, 7, 39, 12, 44)(6, 38, 17, 49, 21, 53, 19, 51)(9, 41, 22, 54, 16, 48, 24, 56)(11, 43, 25, 57, 18, 50, 26, 58)(14, 46, 23, 55, 30, 62, 28, 60)(27, 59, 31, 63, 29, 61, 32, 64)(65, 97, 67, 99, 78, 110, 70, 102)(66, 98, 73, 105, 87, 119, 75, 107)(68, 100, 77, 109, 91, 123, 81, 113)(69, 101, 80, 112, 92, 124, 82, 114)(71, 103, 79, 111, 93, 125, 83, 115)(72, 104, 84, 116, 94, 126, 85, 117)(74, 106, 86, 118, 95, 127, 89, 121)(76, 108, 88, 120, 96, 128, 90, 122)
	L = (1, 68)(2, 74)(3, 73)(4, 72)(5, 76)(6, 75)(7, 65)(8, 71)(9, 84)(10, 69)(11, 85)(12, 66)(13, 86)(14, 91)(15, 88)(16, 67)(17, 89)(18, 70)(19, 90)(20, 80)(21, 82)(22, 79)(23, 95)(24, 77)(25, 83)(26, 81)(27, 94)(28, 96)(29, 78)(30, 93)(31, 92)(32, 87)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E13.411
Graph:: simple bipartite
	v = 16 e = 64 f = 24
	degree seq :: [ 8^16 ]

E13.414 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 4, 4, 4})
Quotient :: edge^2
Aut^+ = ((C4 x C2) : C2) : C2 (small group id <32, 6>)
Aut   = (((C4 x C2) : C2) : C2) : C2 (small group id <64, 138>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y2^-1, Y3^4, Y1^-3 * Y2^-1, Y3^4, Y1^4, R * Y1 * R * Y2, (R * Y3)^2, Y2^4, Y2^-1 * Y3^-1 * Y1^-2 * Y3^-1 * Y1^-1, Y3 * Y1 * Y3^2 * Y1^-1 * Y3, Y1 * Y3^-1 * Y2^-1 * Y1^-1 * Y3^-1 * Y1, Y3^-1 * Y1 * Y3^-1 * Y1 * Y3 * Y1^-1 * Y3^-1 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 33, 3, 35, 10, 42, 5, 37)(2, 34, 7, 39, 19, 51, 8, 40)(4, 36, 12, 44, 25, 57, 13, 45)(6, 38, 16, 48, 28, 60, 17, 49)(9, 41, 23, 55, 14, 46, 24, 56)(11, 43, 26, 58, 15, 47, 27, 59)(18, 50, 29, 61, 21, 53, 30, 62)(20, 52, 31, 63, 22, 54, 32, 64)(65, 66, 70, 68)(67, 73, 81, 75)(69, 78, 80, 79)(71, 82, 77, 84)(72, 85, 76, 86)(74, 83, 92, 89)(87, 94, 91, 95)(88, 93, 90, 96)(97, 98, 102, 100)(99, 105, 113, 107)(101, 110, 112, 111)(103, 114, 109, 116)(104, 117, 108, 118)(106, 115, 124, 121)(119, 126, 123, 127)(120, 125, 122, 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) :: { ( 8^4 ), ( 8^8 ) }
Outer automorphisms :: reflexible
Dual of E13.420
Graph:: simple bipartite
	v = 24 e = 64 f = 16
	degree seq :: [ 4^16, 8^8 ]

E13.415 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 4, 4, 4})
Quotient :: edge^2
Aut^+ = ((C4 x C2) : C2) : C2 (small group id <32, 6>)
Aut   = (((C4 x C2) : C2) : C2) : C2 (small group id <64, 139>)
|r| :: 2
Presentation :: [ R^2, Y2^2 * Y1^2, (Y2^-1, Y1^-1), Y3^4, Y3^-1 * Y2 * Y1^-1 * Y3^-1, Y2^2 * Y1^-2, Y2 * Y1^-1 * Y3^2, R * Y1 * R * Y2, Y2^4, Y1^4, (R * Y3)^2, (Y2^-1 * Y3 * Y2^-1)^2, Y1^-1 * Y3^-1 * Y1^2 * Y3^-1 * Y1^-1, Y3^-1 * Y2 * Y3 * Y1^-1 * Y3^-1 * Y1 * Y3^-1 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 33, 4, 36, 11, 43, 7, 39)(2, 34, 10, 42, 3, 35, 12, 44)(5, 37, 17, 49, 6, 38, 18, 50)(8, 40, 19, 51, 9, 41, 20, 52)(13, 45, 25, 57, 14, 46, 26, 58)(15, 47, 27, 59, 16, 48, 28, 60)(21, 53, 29, 61, 22, 54, 30, 62)(23, 55, 31, 63, 24, 56, 32, 64)(65, 66, 72, 69)(67, 73, 70, 75)(68, 77, 84, 79)(71, 78, 83, 80)(74, 85, 82, 87)(76, 86, 81, 88)(89, 94, 92, 95)(90, 93, 91, 96)(97, 99, 104, 102)(98, 105, 101, 107)(100, 110, 116, 112)(103, 109, 115, 111)(106, 118, 114, 120)(108, 117, 113, 119)(121, 125, 124, 128)(122, 126, 123, 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) :: { ( 8^4 ), ( 8^8 ) }
Outer automorphisms :: reflexible
Dual of E13.421
Graph:: simple bipartite
	v = 24 e = 64 f = 16
	degree seq :: [ 4^16, 8^8 ]

E13.416 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 4, 4, 4})
Quotient :: edge^2
Aut^+ = ((C4 x C2) : C2) : C2 (small group id <32, 6>)
Aut   = (((C4 x C2) : C2) : C2) : C2 (small group id <64, 138>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y1^-1 * Y2, Y1^4, (R * Y3)^2, R * Y1 * R * Y2, Y2^4, (Y3 * Y1^-1)^4, (Y3 * Y1^-1)^4, Y3 * Y1 * Y3 * Y2^-1 * Y3 * Y1 * Y3 * Y1^-1, (Y1^-1 * Y3 * Y2^-1)^4 ]
Map:: polytopal non-degenerate
	R = (1, 33, 3, 35)(2, 34, 6, 38)(4, 36, 9, 41)(5, 37, 10, 42)(7, 39, 14, 46)(8, 40, 15, 47)(11, 43, 21, 53)(12, 44, 22, 54)(13, 45, 23, 55)(16, 48, 25, 57)(17, 49, 24, 56)(18, 50, 28, 60)(19, 51, 29, 61)(20, 52, 30, 62)(26, 58, 31, 63)(27, 59, 32, 64)(65, 66, 69, 68)(67, 71, 77, 72)(70, 75, 84, 76)(73, 80, 90, 81)(74, 82, 91, 83)(78, 88, 92, 86)(79, 89, 93, 85)(87, 94, 96, 95)(97, 98, 101, 100)(99, 103, 109, 104)(102, 107, 116, 108)(105, 112, 122, 113)(106, 114, 123, 115)(110, 120, 124, 118)(111, 121, 125, 117)(119, 126, 128, 127)
	L = (1, 65)(2, 66)(3, 67)(4, 68)(5, 69)(6, 70)(7, 71)(8, 72)(9, 73)(10, 74)(11, 75)(12, 76)(13, 77)(14, 78)(15, 79)(16, 80)(17, 81)(18, 82)(19, 83)(20, 84)(21, 85)(22, 86)(23, 87)(24, 88)(25, 89)(26, 90)(27, 91)(28, 92)(29, 93)(30, 94)(31, 95)(32, 96)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 16^4 ) }
Outer automorphisms :: reflexible
Dual of E13.418
Graph:: simple bipartite
	v = 32 e = 64 f = 8
	degree seq :: [ 4^32 ]

E13.417 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 4, 4, 4})
Quotient :: edge^2
Aut^+ = ((C4 x C2) : C2) : C2 (small group id <32, 6>)
Aut   = (((C4 x C2) : C2) : C2) : C2 (small group id <64, 139>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2^2 * Y1^2, Y2^2 * Y1^-2, (Y2^-1, Y1), Y1^4, (R * Y3)^2, R * Y2 * R * Y1, (Y2^-1 * Y3 * Y1)^2, (Y2 * Y3 * Y1^-1)^2, Y1 * Y3 * Y2 * Y1 * Y3 * Y1, Y3 * Y2 * Y3 * Y2 * Y3 * Y1 * Y3 * Y1, (Y3 * Y1 * Y3 * Y1^-1)^2 ]
Map:: polytopal non-degenerate
	R = (1, 33, 4, 36)(2, 34, 9, 41)(3, 35, 11, 43)(5, 37, 16, 48)(6, 38, 17, 49)(7, 39, 18, 50)(8, 40, 19, 51)(10, 42, 24, 56)(12, 44, 25, 57)(13, 45, 26, 58)(14, 46, 27, 59)(15, 47, 28, 60)(20, 52, 29, 61)(21, 53, 30, 62)(22, 54, 31, 63)(23, 55, 32, 64)(65, 66, 71, 69)(67, 72, 70, 74)(68, 76, 83, 78)(73, 84, 81, 86)(75, 85, 80, 87)(77, 82, 79, 88)(89, 94, 92, 95)(90, 93, 91, 96)(97, 99, 103, 102)(98, 104, 101, 106)(100, 109, 115, 111)(105, 117, 113, 119)(107, 116, 112, 118)(108, 114, 110, 120)(121, 125, 124, 128)(122, 126, 123, 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 ) }
Outer automorphisms :: reflexible
Dual of E13.419
Graph:: simple bipartite
	v = 32 e = 64 f = 8
	degree seq :: [ 4^32 ]

E13.418 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 4, 4, 4})
Quotient :: loop^2
Aut^+ = ((C4 x C2) : C2) : C2 (small group id <32, 6>)
Aut   = (((C4 x C2) : C2) : C2) : C2 (small group id <64, 138>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y2^-1, Y3^4, Y1^-3 * Y2^-1, Y3^4, Y1^4, R * Y1 * R * Y2, (R * Y3)^2, Y2^4, Y2^-1 * Y3^-1 * Y1^-2 * Y3^-1 * Y1^-1, Y3 * Y1 * Y3^2 * Y1^-1 * Y3, Y1 * Y3^-1 * Y2^-1 * Y1^-1 * Y3^-1 * Y1, Y3^-1 * Y1 * Y3^-1 * Y1 * Y3 * Y1^-1 * Y3^-1 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 33, 65, 97, 3, 35, 67, 99, 10, 42, 74, 106, 5, 37, 69, 101)(2, 34, 66, 98, 7, 39, 71, 103, 19, 51, 83, 115, 8, 40, 72, 104)(4, 36, 68, 100, 12, 44, 76, 108, 25, 57, 89, 121, 13, 45, 77, 109)(6, 38, 70, 102, 16, 48, 80, 112, 28, 60, 92, 124, 17, 49, 81, 113)(9, 41, 73, 105, 23, 55, 87, 119, 14, 46, 78, 110, 24, 56, 88, 120)(11, 43, 75, 107, 26, 58, 90, 122, 15, 47, 79, 111, 27, 59, 91, 123)(18, 50, 82, 114, 29, 61, 93, 125, 21, 53, 85, 117, 30, 62, 94, 126)(20, 52, 84, 116, 31, 63, 95, 127, 22, 54, 86, 118, 32, 64, 96, 128)
	L = (1, 34)(2, 38)(3, 41)(4, 33)(5, 46)(6, 36)(7, 50)(8, 53)(9, 49)(10, 51)(11, 35)(12, 54)(13, 52)(14, 48)(15, 37)(16, 47)(17, 43)(18, 45)(19, 60)(20, 39)(21, 44)(22, 40)(23, 62)(24, 61)(25, 42)(26, 64)(27, 63)(28, 57)(29, 58)(30, 59)(31, 55)(32, 56)(65, 98)(66, 102)(67, 105)(68, 97)(69, 110)(70, 100)(71, 114)(72, 117)(73, 113)(74, 115)(75, 99)(76, 118)(77, 116)(78, 112)(79, 101)(80, 111)(81, 107)(82, 109)(83, 124)(84, 103)(85, 108)(86, 104)(87, 126)(88, 125)(89, 106)(90, 128)(91, 127)(92, 121)(93, 122)(94, 123)(95, 119)(96, 120)
	local type(s) :: { ( 4^16 ) }
Outer automorphisms :: reflexible
Dual of E13.416
Transitivity :: VT+
Graph:: bipartite
	v = 8 e = 64 f = 32
	degree seq :: [ 16^8 ]

E13.419 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 4, 4, 4})
Quotient :: loop^2
Aut^+ = ((C4 x C2) : C2) : C2 (small group id <32, 6>)
Aut   = (((C4 x C2) : C2) : C2) : C2 (small group id <64, 139>)
|r| :: 2
Presentation :: [ R^2, Y2^2 * Y1^2, (Y2^-1, Y1^-1), Y3^4, Y3^-1 * Y2 * Y1^-1 * Y3^-1, Y2^2 * Y1^-2, Y2 * Y1^-1 * Y3^2, R * Y1 * R * Y2, Y2^4, Y1^4, (R * Y3)^2, (Y2^-1 * Y3 * Y2^-1)^2, Y1^-1 * Y3^-1 * Y1^2 * Y3^-1 * Y1^-1, Y3^-1 * Y2 * Y3 * Y1^-1 * Y3^-1 * Y1 * Y3^-1 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 33, 65, 97, 4, 36, 68, 100, 11, 43, 75, 107, 7, 39, 71, 103)(2, 34, 66, 98, 10, 42, 74, 106, 3, 35, 67, 99, 12, 44, 76, 108)(5, 37, 69, 101, 17, 49, 81, 113, 6, 38, 70, 102, 18, 50, 82, 114)(8, 40, 72, 104, 19, 51, 83, 115, 9, 41, 73, 105, 20, 52, 84, 116)(13, 45, 77, 109, 25, 57, 89, 121, 14, 46, 78, 110, 26, 58, 90, 122)(15, 47, 79, 111, 27, 59, 91, 123, 16, 48, 80, 112, 28, 60, 92, 124)(21, 53, 85, 117, 29, 61, 93, 125, 22, 54, 86, 118, 30, 62, 94, 126)(23, 55, 87, 119, 31, 63, 95, 127, 24, 56, 88, 120, 32, 64, 96, 128)
	L = (1, 34)(2, 40)(3, 41)(4, 45)(5, 33)(6, 43)(7, 46)(8, 37)(9, 38)(10, 53)(11, 35)(12, 54)(13, 52)(14, 51)(15, 36)(16, 39)(17, 56)(18, 55)(19, 48)(20, 47)(21, 50)(22, 49)(23, 42)(24, 44)(25, 62)(26, 61)(27, 64)(28, 63)(29, 59)(30, 60)(31, 57)(32, 58)(65, 99)(66, 105)(67, 104)(68, 110)(69, 107)(70, 97)(71, 109)(72, 102)(73, 101)(74, 118)(75, 98)(76, 117)(77, 115)(78, 116)(79, 103)(80, 100)(81, 119)(82, 120)(83, 111)(84, 112)(85, 113)(86, 114)(87, 108)(88, 106)(89, 125)(90, 126)(91, 127)(92, 128)(93, 124)(94, 123)(95, 122)(96, 121)
	local type(s) :: { ( 4^16 ) }
Outer automorphisms :: reflexible
Dual of E13.417
Transitivity :: VT+
Graph:: bipartite
	v = 8 e = 64 f = 32
	degree seq :: [ 16^8 ]

E13.420 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 4, 4, 4})
Quotient :: loop^2
Aut^+ = ((C4 x C2) : C2) : C2 (small group id <32, 6>)
Aut   = (((C4 x C2) : C2) : C2) : C2 (small group id <64, 138>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y1^-1 * Y2, Y1^4, (R * Y3)^2, R * Y1 * R * Y2, Y2^4, (Y3 * Y1^-1)^4, (Y3 * Y1^-1)^4, Y3 * Y1 * Y3 * Y2^-1 * Y3 * Y1 * Y3 * Y1^-1, (Y1^-1 * Y3 * Y2^-1)^4 ]
Map:: polytopal non-degenerate
	R = (1, 33, 65, 97, 3, 35, 67, 99)(2, 34, 66, 98, 6, 38, 70, 102)(4, 36, 68, 100, 9, 41, 73, 105)(5, 37, 69, 101, 10, 42, 74, 106)(7, 39, 71, 103, 14, 46, 78, 110)(8, 40, 72, 104, 15, 47, 79, 111)(11, 43, 75, 107, 21, 53, 85, 117)(12, 44, 76, 108, 22, 54, 86, 118)(13, 45, 77, 109, 23, 55, 87, 119)(16, 48, 80, 112, 25, 57, 89, 121)(17, 49, 81, 113, 24, 56, 88, 120)(18, 50, 82, 114, 28, 60, 92, 124)(19, 51, 83, 115, 29, 61, 93, 125)(20, 52, 84, 116, 30, 62, 94, 126)(26, 58, 90, 122, 31, 63, 95, 127)(27, 59, 91, 123, 32, 64, 96, 128)
	L = (1, 34)(2, 37)(3, 39)(4, 33)(5, 36)(6, 43)(7, 45)(8, 35)(9, 48)(10, 50)(11, 52)(12, 38)(13, 40)(14, 56)(15, 57)(16, 58)(17, 41)(18, 59)(19, 42)(20, 44)(21, 47)(22, 46)(23, 62)(24, 60)(25, 61)(26, 49)(27, 51)(28, 54)(29, 53)(30, 64)(31, 55)(32, 63)(65, 98)(66, 101)(67, 103)(68, 97)(69, 100)(70, 107)(71, 109)(72, 99)(73, 112)(74, 114)(75, 116)(76, 102)(77, 104)(78, 120)(79, 121)(80, 122)(81, 105)(82, 123)(83, 106)(84, 108)(85, 111)(86, 110)(87, 126)(88, 124)(89, 125)(90, 113)(91, 115)(92, 118)(93, 117)(94, 128)(95, 119)(96, 127)
	local type(s) :: { ( 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E13.414
Transitivity :: VT+
Graph:: bipartite
	v = 16 e = 64 f = 24
	degree seq :: [ 8^16 ]

E13.421 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 4, 4, 4})
Quotient :: loop^2
Aut^+ = ((C4 x C2) : C2) : C2 (small group id <32, 6>)
Aut   = (((C4 x C2) : C2) : C2) : C2 (small group id <64, 139>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2^2 * Y1^2, Y2^2 * Y1^-2, (Y2^-1, Y1), Y1^4, (R * Y3)^2, R * Y2 * R * Y1, (Y2^-1 * Y3 * Y1)^2, (Y2 * Y3 * Y1^-1)^2, Y1 * Y3 * Y2 * Y1 * Y3 * Y1, Y3 * Y2 * Y3 * Y2 * Y3 * Y1 * Y3 * Y1, (Y3 * Y1 * Y3 * Y1^-1)^2 ]
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, 11, 43, 75, 107)(5, 37, 69, 101, 16, 48, 80, 112)(6, 38, 70, 102, 17, 49, 81, 113)(7, 39, 71, 103, 18, 50, 82, 114)(8, 40, 72, 104, 19, 51, 83, 115)(10, 42, 74, 106, 24, 56, 88, 120)(12, 44, 76, 108, 25, 57, 89, 121)(13, 45, 77, 109, 26, 58, 90, 122)(14, 46, 78, 110, 27, 59, 91, 123)(15, 47, 79, 111, 28, 60, 92, 124)(20, 52, 84, 116, 29, 61, 93, 125)(21, 53, 85, 117, 30, 62, 94, 126)(22, 54, 86, 118, 31, 63, 95, 127)(23, 55, 87, 119, 32, 64, 96, 128)
	L = (1, 34)(2, 39)(3, 40)(4, 44)(5, 33)(6, 42)(7, 37)(8, 38)(9, 52)(10, 35)(11, 53)(12, 51)(13, 50)(14, 36)(15, 56)(16, 55)(17, 54)(18, 47)(19, 46)(20, 49)(21, 48)(22, 41)(23, 43)(24, 45)(25, 62)(26, 61)(27, 64)(28, 63)(29, 59)(30, 60)(31, 57)(32, 58)(65, 99)(66, 104)(67, 103)(68, 109)(69, 106)(70, 97)(71, 102)(72, 101)(73, 117)(74, 98)(75, 116)(76, 114)(77, 115)(78, 120)(79, 100)(80, 118)(81, 119)(82, 110)(83, 111)(84, 112)(85, 113)(86, 107)(87, 105)(88, 108)(89, 125)(90, 126)(91, 127)(92, 128)(93, 124)(94, 123)(95, 122)(96, 121)
	local type(s) :: { ( 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E13.415
Transitivity :: VT+
Graph:: simple bipartite
	v = 16 e = 64 f = 24
	degree seq :: [ 8^16 ]

E13.422 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 4, 4})
Quotient :: dipole
Aut^+ = ((C4 x C2) : C2) : C2 (small group id <32, 6>)
Aut   = (((C4 x C2) : C2) : C2) : C2 (small group id <64, 138>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y1 * Y3^-2, (R * Y1)^2, (R * Y3)^2, (Y1 * Y2^-1)^2, Y2^4, (R * Y2 * Y3^-1)^2, (Y2^-1 * R * Y2^-1)^2, Y3 * Y2^-2 * Y3^-1 * Y2^-2, (Y2 * R * Y2^-1 * Y1)^2, (Y3 * Y2)^4 ]
Map:: non-degenerate
	R = (1, 33, 2, 34)(3, 35, 8, 40)(4, 36, 6, 38)(5, 37, 7, 39)(9, 41, 18, 50)(10, 42, 11, 43)(12, 44, 17, 49)(13, 45, 16, 48)(14, 46, 15, 47)(19, 51, 20, 52)(21, 53, 24, 56)(22, 54, 23, 55)(25, 57, 26, 58)(27, 59, 28, 60)(29, 61, 30, 62)(31, 63, 32, 64)(65, 97, 67, 99, 73, 105, 69, 101)(66, 98, 71, 103, 82, 114, 72, 104)(68, 100, 76, 108, 83, 115, 77, 109)(70, 102, 80, 112, 84, 116, 81, 113)(74, 106, 85, 117, 78, 110, 86, 118)(75, 107, 87, 119, 79, 111, 88, 120)(89, 121, 95, 127, 91, 123, 93, 125)(90, 122, 94, 126, 92, 124, 96, 128)
	L = (1, 68)(2, 70)(3, 74)(4, 66)(5, 78)(6, 65)(7, 79)(8, 75)(9, 83)(10, 72)(11, 67)(12, 89)(13, 91)(14, 71)(15, 69)(16, 92)(17, 90)(18, 84)(19, 82)(20, 73)(21, 93)(22, 95)(23, 96)(24, 94)(25, 81)(26, 76)(27, 80)(28, 77)(29, 88)(30, 85)(31, 87)(32, 86)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 8^4 ), ( 8^8 ) }
Outer automorphisms :: reflexible
Dual of E13.434
Graph:: simple bipartite
	v = 24 e = 64 f = 16
	degree seq :: [ 4^16, 8^8 ]

E13.423 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 4, 4})
Quotient :: dipole
Aut^+ = ((C4 x C2) : C2) : C2 (small group id <32, 6>)
Aut   = (((C4 x C2) : C2) : C2) : C2 (small group id <64, 138>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (R * Y3)^2, (R * Y1)^2, Y2^4, Y3 * Y1 * Y3^-1 * Y1, (Y2^-1 * Y1)^2, Y3^4, Y3 * Y1 * Y2^2 * Y3, Y2 * Y1 * Y3^2 * Y2, (Y2^-1 * R * Y2^-1)^2, (R * Y2 * Y3^-1)^2, (Y3 * Y2^-1)^4 ]
Map:: polytopal non-degenerate
	R = (1, 33, 2, 34)(3, 35, 9, 41)(4, 36, 8, 40)(5, 37, 7, 39)(6, 38, 10, 42)(11, 43, 15, 47)(12, 44, 18, 50)(13, 45, 17, 49)(14, 46, 19, 51)(16, 48, 20, 52)(21, 53, 23, 55)(22, 54, 24, 56)(25, 57, 28, 60)(26, 58, 27, 59)(29, 61, 32, 64)(30, 62, 31, 63)(65, 97, 67, 99, 75, 107, 69, 101)(66, 98, 71, 103, 79, 111, 73, 105)(68, 100, 78, 110, 74, 106, 80, 112)(70, 102, 83, 115, 72, 104, 84, 116)(76, 108, 85, 117, 81, 113, 86, 118)(77, 109, 87, 119, 82, 114, 88, 120)(89, 121, 95, 127, 91, 123, 93, 125)(90, 122, 94, 126, 92, 124, 96, 128)
	L = (1, 68)(2, 72)(3, 76)(4, 79)(5, 81)(6, 65)(7, 77)(8, 75)(9, 82)(10, 66)(11, 74)(12, 71)(13, 67)(14, 89)(15, 70)(16, 91)(17, 73)(18, 69)(19, 92)(20, 90)(21, 93)(22, 95)(23, 96)(24, 94)(25, 84)(26, 78)(27, 83)(28, 80)(29, 88)(30, 85)(31, 87)(32, 86)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 8^4 ), ( 8^8 ) }
Outer automorphisms :: reflexible
Dual of E13.435
Graph:: simple bipartite
	v = 24 e = 64 f = 16
	degree seq :: [ 4^16, 8^8 ]

E13.424 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 4, 4})
Quotient :: dipole
Aut^+ = ((C4 x C2) : C2) : C2 (small group id <32, 6>)
Aut   = (((C4 x C2) : C2) : C2) : C2 (small group id <64, 138>)
|r| :: 2
Presentation :: [ Y1^2, Y3^2, R^2, Y2^2 * Y3, (R * Y1)^2, (R * Y3)^2, (R * Y2)^2, (Y3 * Y1)^4, Y2 * Y1 * Y3 * Y1 * Y2^-1 * Y1 * Y3 * Y1, (Y2 * Y1 * Y2^-1 * Y1)^2, (Y2 * Y1)^4 ]
Map:: non-degenerate
	R = (1, 33, 2, 34)(3, 35, 9, 41)(4, 36, 10, 42)(5, 37, 11, 43)(6, 38, 12, 44)(7, 39, 13, 45)(8, 40, 14, 46)(15, 47, 32, 64)(16, 48, 27, 59)(17, 49, 26, 58)(18, 50, 25, 57)(19, 51, 28, 60)(20, 52, 31, 63)(21, 53, 30, 62)(22, 54, 29, 61)(23, 55, 24, 56)(65, 97, 67, 99, 68, 100, 69, 101)(66, 98, 70, 102, 71, 103, 72, 104)(73, 105, 79, 111, 80, 112, 81, 113)(74, 106, 82, 114, 83, 115, 84, 116)(75, 107, 85, 117, 86, 118, 87, 119)(76, 108, 88, 120, 89, 121, 90, 122)(77, 109, 91, 123, 92, 124, 93, 125)(78, 110, 94, 126, 95, 127, 96, 128)
	L = (1, 68)(2, 71)(3, 69)(4, 65)(5, 67)(6, 72)(7, 66)(8, 70)(9, 80)(10, 83)(11, 86)(12, 89)(13, 92)(14, 95)(15, 81)(16, 73)(17, 79)(18, 84)(19, 74)(20, 82)(21, 87)(22, 75)(23, 85)(24, 90)(25, 76)(26, 88)(27, 93)(28, 77)(29, 91)(30, 96)(31, 78)(32, 94)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 8^4 ), ( 8^8 ) }
Outer automorphisms :: reflexible
Dual of E13.432
Graph:: bipartite
	v = 24 e = 64 f = 16
	degree seq :: [ 4^16, 8^8 ]

E13.425 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 4, 4})
Quotient :: dipole
Aut^+ = ((C4 x C2) : C2) : C2 (small group id <32, 6>)
Aut   = (((C4 x C2) : C2) : C2) : C2 (small group id <64, 138>)
|r| :: 2
Presentation :: [ Y1^2, Y3^2, R^2, (R * Y3)^2, (R * Y1)^2, (Y2^-1 * R)^2, Y2^-1 * Y3 * Y2 * Y3, Y2^4, Y2^-1 * Y1 * Y3 * Y1 * Y2^-1, (Y2 * Y1)^4, (Y2 * Y1 * Y2^-1 * Y1)^2 ]
Map:: non-degenerate
	R = (1, 33, 2, 34)(3, 35, 9, 41)(4, 36, 12, 44)(5, 37, 14, 46)(6, 38, 15, 47)(7, 39, 10, 42)(8, 40, 18, 50)(11, 43, 22, 54)(13, 45, 24, 56)(16, 48, 29, 61)(17, 49, 30, 62)(19, 51, 32, 64)(20, 52, 28, 60)(21, 53, 23, 55)(25, 57, 31, 63)(26, 58, 27, 59)(65, 97, 67, 99, 74, 106, 69, 101)(66, 98, 70, 102, 76, 108, 72, 104)(68, 100, 75, 107, 85, 117, 77, 109)(71, 103, 80, 112, 87, 119, 81, 113)(73, 105, 83, 115, 86, 118, 84, 116)(78, 110, 89, 121, 88, 120, 90, 122)(79, 111, 91, 123, 93, 125, 92, 124)(82, 114, 95, 127, 94, 126, 96, 128)
	L = (1, 68)(2, 71)(3, 75)(4, 65)(5, 77)(6, 80)(7, 66)(8, 81)(9, 78)(10, 85)(11, 67)(12, 87)(13, 69)(14, 73)(15, 82)(16, 70)(17, 72)(18, 79)(19, 89)(20, 90)(21, 74)(22, 88)(23, 76)(24, 86)(25, 83)(26, 84)(27, 95)(28, 96)(29, 94)(30, 93)(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) :: { ( 8^4 ), ( 8^8 ) }
Outer automorphisms :: reflexible
Dual of E13.433
Graph:: simple bipartite
	v = 24 e = 64 f = 16
	degree seq :: [ 4^16, 8^8 ]

E13.426 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 4, 4})
Quotient :: dipole
Aut^+ = ((C4 x C2) : C2) : C2 (small group id <32, 6>)
Aut   = (((C4 x C2) : C2) : C2) : C2 (small group id <64, 138>)
|r| :: 2
Presentation :: [ Y1^2, Y3^2, R^2, Y2^4, (R * Y3)^2, (R * Y1)^2, R * Y2 * Y1 * R * Y2^-1, Y2 * Y1 * Y3 * Y2 * Y3, Y2 * Y1 * Y2^-2 * Y1 * Y2, (Y2^-1 * Y1 * Y2 * Y1)^2 ]
Map:: polytopal non-degenerate
	R = (1, 33, 2, 34)(3, 35, 9, 41)(4, 36, 12, 44)(5, 37, 15, 47)(6, 38, 17, 49)(7, 39, 20, 52)(8, 40, 22, 54)(10, 42, 18, 50)(11, 43, 19, 51)(13, 45, 16, 48)(14, 46, 21, 53)(23, 55, 31, 63)(24, 56, 32, 64)(25, 57, 30, 62)(26, 58, 28, 60)(27, 59, 29, 61)(65, 97, 67, 99, 74, 106, 69, 101)(66, 98, 70, 102, 82, 114, 72, 104)(68, 100, 77, 109, 92, 124, 78, 110)(71, 103, 80, 112, 94, 126, 85, 117)(73, 105, 87, 119, 79, 111, 88, 120)(75, 107, 76, 108, 91, 123, 90, 122)(81, 113, 95, 127, 86, 118, 96, 128)(83, 115, 84, 116, 93, 125, 89, 121)
	L = (1, 68)(2, 71)(3, 75)(4, 65)(5, 80)(6, 83)(7, 66)(8, 77)(9, 78)(10, 89)(11, 67)(12, 88)(13, 72)(14, 73)(15, 93)(16, 69)(17, 85)(18, 90)(19, 70)(20, 96)(21, 81)(22, 91)(23, 94)(24, 76)(25, 74)(26, 82)(27, 86)(28, 95)(29, 79)(30, 87)(31, 92)(32, 84)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 8^4 ), ( 8^8 ) }
Outer automorphisms :: reflexible
Dual of E13.430
Graph:: simple bipartite
	v = 24 e = 64 f = 16
	degree seq :: [ 4^16, 8^8 ]

E13.427 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 4, 4})
Quotient :: dipole
Aut^+ = ((C4 x C2) : C2) : C2 (small group id <32, 6>)
Aut   = (((C4 x C2) : C2) : C2) : C2 (small group id <64, 138>)
|r| :: 2
Presentation :: [ Y1^2, Y3^2, R^2, Y2^4, (R * Y1)^2, (R * Y3)^2, Y1 * Y2 * R * Y2^-1 * R, Y2 * Y3 * Y1 * Y2 * Y3, (Y1 * Y2^-2)^2, Y1 * Y3 * Y2 * Y1 * Y2^-1 * Y3, (Y2^-1 * Y1)^4, (Y2 * Y1 * Y2^-1 * Y1)^2 ]
Map:: non-degenerate
	R = (1, 33, 2, 34)(3, 35, 9, 41)(4, 36, 12, 44)(5, 37, 15, 47)(6, 38, 17, 49)(7, 39, 19, 51)(8, 40, 21, 53)(10, 42, 18, 50)(11, 43, 14, 46)(13, 45, 20, 52)(16, 48, 22, 54)(23, 55, 31, 63)(24, 56, 28, 60)(25, 57, 32, 64)(26, 58, 27, 59)(29, 61, 30, 62)(65, 97, 67, 99, 74, 106, 69, 101)(66, 98, 70, 102, 82, 114, 72, 104)(68, 100, 77, 109, 93, 125, 78, 110)(71, 103, 84, 116, 91, 123, 75, 107)(73, 105, 87, 119, 79, 111, 89, 121)(76, 108, 80, 112, 94, 126, 92, 124)(81, 113, 95, 127, 85, 117, 96, 128)(83, 115, 86, 118, 90, 122, 88, 120)
	L = (1, 68)(2, 71)(3, 75)(4, 65)(5, 80)(6, 78)(7, 66)(8, 86)(9, 88)(10, 90)(11, 67)(12, 89)(13, 79)(14, 70)(15, 77)(16, 69)(17, 92)(18, 94)(19, 96)(20, 85)(21, 84)(22, 72)(23, 91)(24, 73)(25, 76)(26, 74)(27, 87)(28, 81)(29, 95)(30, 82)(31, 93)(32, 83)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 8^4 ), ( 8^8 ) }
Outer automorphisms :: reflexible
Dual of E13.429
Graph:: simple bipartite
	v = 24 e = 64 f = 16
	degree seq :: [ 4^16, 8^8 ]

E13.428 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 4, 4})
Quotient :: dipole
Aut^+ = ((C4 x C2) : C2) : C2 (small group id <32, 6>)
Aut   = (((C4 x C2) : C2) : C2) : C2 (small group id <64, 138>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y1 * Y3^-2, (R * Y1)^2, (R * Y3)^2, Y1 * Y2^-1 * Y1 * Y2, Y2^4, (R * Y2 * Y3^-1)^2, (Y3 * Y2^-2)^2, Y2 * R * Y2^-2 * Y1 * R * Y2, (Y3 * Y2 * Y3^-1 * Y2)^2 ]
Map:: non-degenerate
	R = (1, 33, 2, 34)(3, 35, 7, 39)(4, 36, 6, 38)(5, 37, 8, 40)(9, 41, 18, 50)(10, 42, 11, 43)(12, 44, 16, 48)(13, 45, 17, 49)(14, 46, 15, 47)(19, 51, 20, 52)(21, 53, 23, 55)(22, 54, 24, 56)(25, 57, 26, 58)(27, 59, 28, 60)(29, 61, 30, 62)(31, 63, 32, 64)(65, 97, 67, 99, 73, 105, 69, 101)(66, 98, 71, 103, 82, 114, 72, 104)(68, 100, 76, 108, 84, 116, 77, 109)(70, 102, 80, 112, 83, 115, 81, 113)(74, 106, 85, 117, 79, 111, 86, 118)(75, 107, 87, 119, 78, 110, 88, 120)(89, 121, 94, 126, 92, 124, 95, 127)(90, 122, 93, 125, 91, 123, 96, 128)
	L = (1, 68)(2, 70)(3, 74)(4, 66)(5, 78)(6, 65)(7, 75)(8, 79)(9, 83)(10, 71)(11, 67)(12, 89)(13, 91)(14, 72)(15, 69)(16, 90)(17, 92)(18, 84)(19, 82)(20, 73)(21, 93)(22, 95)(23, 94)(24, 96)(25, 80)(26, 76)(27, 81)(28, 77)(29, 87)(30, 85)(31, 88)(32, 86)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 8^4 ), ( 8^8 ) }
Outer automorphisms :: reflexible
Dual of E13.431
Graph:: simple bipartite
	v = 24 e = 64 f = 16
	degree seq :: [ 4^16, 8^8 ]

E13.429 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 4, 4})
Quotient :: dipole
Aut^+ = ((C4 x C2) : C2) : C2 (small group id <32, 6>)
Aut   = (((C4 x C2) : C2) : C2) : C2 (small group id <64, 138>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y1^-1, Y1^4, (R * Y1)^2, (R * Y3)^2, Y1^4, Y2^4, (Y3^-1 * Y1^-1)^2, (Y1 * Y2^-1 * Y1)^2, Y2 * Y1 * Y2^2 * Y1^-1 * Y2, (R * Y2 * Y3^-1)^2, (Y3 * Y2^-1)^4, (Y2^-1, Y1^-1)^2 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 6, 38, 4, 36)(3, 35, 9, 41, 17, 49, 11, 43)(5, 37, 14, 46, 16, 48, 15, 47)(7, 39, 18, 50, 13, 45, 20, 52)(8, 40, 21, 53, 12, 44, 22, 54)(10, 42, 19, 51, 28, 60, 25, 57)(23, 55, 30, 62, 27, 59, 31, 63)(24, 56, 29, 61, 26, 58, 32, 64)(65, 97, 67, 99, 74, 106, 69, 101)(66, 98, 71, 103, 83, 115, 72, 104)(68, 100, 76, 108, 89, 121, 77, 109)(70, 102, 80, 112, 92, 124, 81, 113)(73, 105, 87, 119, 78, 110, 88, 120)(75, 107, 90, 122, 79, 111, 91, 123)(82, 114, 93, 125, 85, 117, 94, 126)(84, 116, 95, 127, 86, 118, 96, 128)
	L = (1, 66)(2, 70)(3, 73)(4, 65)(5, 78)(6, 68)(7, 82)(8, 85)(9, 81)(10, 83)(11, 67)(12, 86)(13, 84)(14, 80)(15, 69)(16, 79)(17, 75)(18, 77)(19, 92)(20, 71)(21, 76)(22, 72)(23, 94)(24, 93)(25, 74)(26, 96)(27, 95)(28, 89)(29, 90)(30, 91)(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) :: { ( 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E13.427
Graph:: bipartite
	v = 16 e = 64 f = 24
	degree seq :: [ 8^16 ]

E13.430 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 4, 4})
Quotient :: dipole
Aut^+ = ((C4 x C2) : C2) : C2 (small group id <32, 6>)
Aut   = (((C4 x C2) : C2) : C2) : C2 (small group id <64, 138>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y3 * Y2^2, Y3^2 * Y1^2, (Y3^-1, Y1^-1), Y1^-1 * Y3^2 * Y1^-1, (Y3^-1 * Y1^-1)^2, (R * Y3)^2, (Y3^-1 * Y1)^2, (R * Y1)^2, Y3 * Y2^-2 * Y1^-1, (R * Y2 * Y3^-1)^2, Y3 * Y2 * Y1^-2 * Y2^-1 * Y1, Y2 * Y3 * Y2^-1 * Y1 * Y2 * Y1^-1 * Y2^-1 * Y1^-1, (Y1 * Y2)^4 ]
Map:: polytopal non-degenerate
	R = (1, 33, 2, 34, 8, 40, 5, 37)(3, 35, 13, 45, 20, 52, 15, 47)(4, 36, 10, 42, 7, 39, 12, 44)(6, 38, 14, 46, 19, 51, 16, 48)(9, 41, 21, 53, 18, 50, 23, 55)(11, 43, 22, 54, 17, 49, 24, 56)(25, 57, 30, 62, 28, 60, 31, 63)(26, 58, 29, 61, 27, 59, 32, 64)(65, 97, 67, 99, 76, 108, 70, 102)(66, 98, 73, 105, 68, 100, 75, 107)(69, 101, 81, 113, 71, 103, 82, 114)(72, 104, 83, 115, 74, 106, 84, 116)(77, 109, 89, 121, 78, 110, 90, 122)(79, 111, 91, 123, 80, 112, 92, 124)(85, 117, 93, 125, 86, 118, 94, 126)(87, 119, 95, 127, 88, 120, 96, 128)
	L = (1, 68)(2, 74)(3, 78)(4, 72)(5, 76)(6, 77)(7, 65)(8, 71)(9, 86)(10, 69)(11, 85)(12, 66)(13, 83)(14, 84)(15, 70)(16, 67)(17, 87)(18, 88)(19, 79)(20, 80)(21, 81)(22, 82)(23, 75)(24, 73)(25, 93)(26, 94)(27, 95)(28, 96)(29, 92)(30, 91)(31, 90)(32, 89)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E13.426
Graph:: bipartite
	v = 16 e = 64 f = 24
	degree seq :: [ 8^16 ]

E13.431 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 4, 4})
Quotient :: dipole
Aut^+ = ((C4 x C2) : C2) : C2 (small group id <32, 6>)
Aut   = (((C4 x C2) : C2) : C2) : C2 (small group id <64, 138>)
|r| :: 2
Presentation :: [ R^2, (Y3^-1 * Y1)^2, Y3^4, Y3^-2 * Y1^-2, (Y3 * Y1)^2, Y3 * Y1^-2 * Y3, Y2^-1 * Y3^-1 * Y1^-1 * Y2^-1, (R * Y1)^2, Y2^4, Y2^2 * Y3^-1 * Y1^-1, (R * Y3)^2, Y2 * Y1^-1 * Y3 * Y2^-1 * Y1^-2, Y1^-1 * Y2^-1 * Y3^2 * Y2^-1 * Y1^-1, (R * Y2 * Y3^-1)^2, Y3 * Y2^-1 * Y3^-1 * Y1 * Y2^-1 * Y1^-1, Y2^-1 * Y3 * Y2^-1 * Y1^-1 * Y2 * Y1^-1 * Y2^-1 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 8, 40, 5, 37)(3, 35, 13, 45, 20, 52, 15, 47)(4, 36, 10, 42, 7, 39, 12, 44)(6, 38, 16, 48, 19, 51, 14, 46)(9, 41, 21, 53, 17, 49, 23, 55)(11, 43, 24, 56, 18, 50, 22, 54)(25, 57, 30, 62, 27, 59, 32, 64)(26, 58, 29, 61, 28, 60, 31, 63)(65, 97, 67, 99, 74, 106, 70, 102)(66, 98, 73, 105, 71, 103, 75, 107)(68, 100, 81, 113, 69, 101, 82, 114)(72, 104, 83, 115, 76, 108, 84, 116)(77, 109, 89, 121, 80, 112, 90, 122)(78, 110, 91, 123, 79, 111, 92, 124)(85, 117, 93, 125, 88, 120, 94, 126)(86, 118, 95, 127, 87, 119, 96, 128)
	L = (1, 68)(2, 74)(3, 78)(4, 72)(5, 76)(6, 79)(7, 65)(8, 71)(9, 86)(10, 69)(11, 87)(12, 66)(13, 70)(14, 84)(15, 83)(16, 67)(17, 88)(18, 85)(19, 77)(20, 80)(21, 75)(22, 81)(23, 82)(24, 73)(25, 95)(26, 96)(27, 93)(28, 94)(29, 89)(30, 90)(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) :: { ( 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E13.428
Graph:: bipartite
	v = 16 e = 64 f = 24
	degree seq :: [ 8^16 ]

E13.432 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 4, 4})
Quotient :: dipole
Aut^+ = ((C4 x C2) : C2) : C2 (small group id <32, 6>)
Aut   = (((C4 x C2) : C2) : C2) : C2 (small group id <64, 138>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y2 * Y3^-1, Y1^4, (R * Y1^-1)^2, (Y1 * Y3)^2, (R * Y3)^2, (R * Y1)^2, (Y3 * Y1)^2, Y2^4, Y1^4, Y3^4, Y3 * Y2 * Y1^-1 * Y2^-2, (Y2 * Y3 * Y1^-1)^2 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 8, 40, 5, 37)(3, 35, 12, 44, 27, 59, 15, 47)(4, 36, 16, 48, 21, 53, 19, 51)(6, 38, 22, 54, 9, 41, 7, 39)(10, 42, 29, 61, 20, 52, 11, 43)(13, 45, 17, 49, 28, 60, 24, 56)(14, 46, 30, 62, 25, 57, 32, 64)(18, 50, 26, 58, 31, 63, 23, 55)(65, 97, 67, 99, 77, 109, 70, 102)(66, 98, 68, 100, 81, 113, 74, 106)(69, 101, 84, 116, 88, 120, 85, 117)(71, 103, 89, 121, 79, 111, 90, 122)(72, 104, 73, 105, 92, 124, 91, 123)(75, 107, 95, 127, 83, 115, 96, 128)(76, 108, 78, 110, 86, 118, 87, 119)(80, 112, 82, 114, 93, 125, 94, 126)
	L = (1, 68)(2, 73)(3, 78)(4, 82)(5, 67)(6, 87)(7, 65)(8, 84)(9, 89)(10, 94)(11, 66)(12, 72)(13, 74)(14, 80)(15, 77)(16, 69)(17, 91)(18, 71)(19, 81)(20, 95)(21, 96)(22, 92)(23, 93)(24, 70)(25, 75)(26, 83)(27, 90)(28, 85)(29, 88)(30, 79)(31, 76)(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 ) }
Outer automorphisms :: reflexible
Dual of E13.424
Graph:: bipartite
	v = 16 e = 64 f = 24
	degree seq :: [ 8^16 ]

E13.433 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 4, 4})
Quotient :: dipole
Aut^+ = ((C4 x C2) : C2) : C2 (small group id <32, 6>)
Aut   = (((C4 x C2) : C2) : C2) : C2 (small group id <64, 138>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y2^-1 * Y3^-1, (Y1^-1 * Y3^-1)^2, (Y1 * Y3)^2, (R * Y3^-1)^2, Y1^4, (Y3 * Y1)^2, (R * Y1)^2, Y2^4, (R * Y3)^2, Y3^4, Y3 * Y2^-1 * Y1^-1 * Y2^2, (Y2 * Y3 * Y1^-1)^2 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 8, 40, 5, 37)(3, 35, 12, 44, 10, 42, 7, 39)(4, 36, 16, 48, 20, 52, 18, 50)(6, 38, 22, 54, 27, 59, 24, 56)(9, 41, 28, 60, 21, 53, 11, 43)(13, 45, 19, 51, 30, 62, 15, 47)(14, 46, 17, 49, 25, 57, 32, 64)(23, 55, 29, 61, 26, 58, 31, 63)(65, 97, 67, 99, 77, 109, 70, 102)(66, 98, 73, 105, 83, 115, 68, 100)(69, 101, 84, 116, 79, 111, 85, 117)(71, 103, 89, 121, 88, 120, 90, 122)(72, 104, 91, 123, 94, 126, 74, 106)(75, 107, 95, 127, 82, 114, 96, 128)(76, 108, 87, 119, 86, 118, 78, 110)(80, 112, 93, 125, 92, 124, 81, 113)
	L = (1, 68)(2, 74)(3, 78)(4, 81)(5, 70)(6, 87)(7, 65)(8, 85)(9, 93)(10, 90)(11, 66)(12, 94)(13, 73)(14, 92)(15, 67)(16, 69)(17, 71)(18, 83)(19, 91)(20, 95)(21, 96)(22, 72)(23, 80)(24, 77)(25, 82)(26, 75)(27, 89)(28, 79)(29, 88)(30, 84)(31, 76)(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 ) }
Outer automorphisms :: reflexible
Dual of E13.425
Graph:: bipartite
	v = 16 e = 64 f = 24
	degree seq :: [ 8^16 ]

E13.434 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 4, 4})
Quotient :: dipole
Aut^+ = ((C4 x C2) : C2) : C2 (small group id <32, 6>)
Aut   = (((C4 x C2) : C2) : C2) : C2 (small group id <64, 138>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1, (R * Y3)^2, (Y2^-1 * Y1^-1)^2, (Y3^-1 * Y1^-1)^2, (R * Y1)^2, Y1^4, Y2^4, (R * Y2 * Y3^-1)^2, Y2 * Y1^-2 * Y2^-2 * Y1 * Y2^-1 * Y1^-1, (Y2 * Y1^-1)^4, (Y3 * Y2^-1)^4 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 6, 38, 4, 36)(3, 35, 9, 41, 19, 51, 11, 43)(5, 37, 13, 45, 17, 49, 7, 39)(8, 40, 18, 50, 27, 59, 14, 46)(10, 42, 21, 53, 26, 58, 22, 54)(12, 44, 15, 47, 28, 60, 24, 56)(16, 48, 29, 61, 20, 52, 30, 62)(23, 55, 31, 63, 25, 57, 32, 64)(65, 97, 67, 99, 74, 106, 69, 101)(66, 98, 71, 103, 80, 112, 72, 104)(68, 100, 76, 108, 84, 116, 73, 105)(70, 102, 78, 110, 90, 122, 79, 111)(75, 107, 87, 119, 92, 124, 85, 117)(77, 109, 86, 118, 91, 123, 89, 121)(81, 113, 95, 127, 83, 115, 93, 125)(82, 114, 94, 126, 88, 120, 96, 128)
	L = (1, 66)(2, 70)(3, 73)(4, 65)(5, 77)(6, 68)(7, 69)(8, 82)(9, 83)(10, 85)(11, 67)(12, 79)(13, 81)(14, 72)(15, 92)(16, 93)(17, 71)(18, 91)(19, 75)(20, 94)(21, 90)(22, 74)(23, 95)(24, 76)(25, 96)(26, 86)(27, 78)(28, 88)(29, 84)(30, 80)(31, 89)(32, 87)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E13.422
Graph:: bipartite
	v = 16 e = 64 f = 24
	degree seq :: [ 8^16 ]

E13.435 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 4, 4})
Quotient :: dipole
Aut^+ = ((C4 x C2) : C2) : C2 (small group id <32, 6>)
Aut   = (((C4 x C2) : C2) : C2) : C2 (small group id <64, 138>)
|r| :: 2
Presentation :: [ R^2, Y3^-2 * Y1^2, Y3^2 * Y1^2, (R * Y1)^2, Y2 * Y3^-1 * Y2 * Y1^-1, (R * Y3)^2, Y2^4, Y1^4, (Y3^-1 * Y2^-1)^2, (Y1^-1 * Y2^-1)^2, (Y3^-1, Y1^-1), (R * Y2 * Y3^-1)^2 ]
Map:: polytopal non-degenerate
	R = (1, 33, 2, 34, 8, 40, 5, 37)(3, 35, 13, 45, 25, 57, 16, 48)(4, 36, 10, 42, 7, 39, 12, 44)(6, 38, 19, 51, 24, 56, 9, 41)(11, 43, 26, 58, 15, 47, 20, 52)(14, 46, 28, 60, 30, 62, 29, 61)(17, 49, 23, 55, 18, 50, 21, 53)(22, 54, 31, 63, 27, 59, 32, 64)(65, 97, 67, 99, 78, 110, 70, 102)(66, 98, 73, 105, 86, 118, 75, 107)(68, 100, 81, 113, 92, 124, 80, 112)(69, 101, 82, 114, 91, 123, 77, 109)(71, 103, 83, 115, 93, 125, 79, 111)(72, 104, 84, 116, 94, 126, 85, 117)(74, 106, 89, 121, 95, 127, 88, 120)(76, 108, 90, 122, 96, 128, 87, 119)
	L = (1, 68)(2, 74)(3, 79)(4, 72)(5, 76)(6, 82)(7, 65)(8, 71)(9, 87)(10, 69)(11, 67)(12, 66)(13, 84)(14, 86)(15, 89)(16, 90)(17, 70)(18, 88)(19, 85)(20, 80)(21, 73)(22, 94)(23, 83)(24, 81)(25, 75)(26, 77)(27, 78)(28, 95)(29, 96)(30, 91)(31, 93)(32, 92)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E13.423
Graph:: simple bipartite
	v = 16 e = 64 f = 24
	degree seq :: [ 8^16 ]

E13.436 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 4, 4, 4})
Quotient :: edge^2
Aut^+ = (C4 x C4) : C2 (small group id <32, 11>)
Aut   = ((C4 x C4) : C2) : C2 (small group id <64, 134>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y1^-1, Y2^-1 * Y1^-2 * Y2^-1, R * Y1 * R * Y2, Y2^4, Y1^4, (R * Y3)^2, Y3^4, Y2^-1 * Y3 * Y1^-2 * Y3 * Y1^-1, Y3 * Y1 * Y3^2 * Y1^-1 * Y3, (Y1^-1 * Y3^-1 * Y2^-1)^2, Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 33, 3, 35, 10, 42, 5, 37)(2, 34, 7, 39, 19, 51, 8, 40)(4, 36, 12, 44, 25, 57, 13, 45)(6, 38, 16, 48, 28, 60, 17, 49)(9, 41, 23, 55, 14, 46, 24, 56)(11, 43, 26, 58, 15, 47, 27, 59)(18, 50, 29, 61, 21, 53, 30, 62)(20, 52, 31, 63, 22, 54, 32, 64)(65, 66, 70, 68)(67, 73, 81, 75)(69, 78, 80, 79)(71, 82, 77, 84)(72, 85, 76, 86)(74, 83, 92, 89)(87, 93, 91, 96)(88, 94, 90, 95)(97, 98, 102, 100)(99, 105, 113, 107)(101, 110, 112, 111)(103, 114, 109, 116)(104, 117, 108, 118)(106, 115, 124, 121)(119, 125, 123, 128)(120, 126, 122, 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) :: { ( 8^4 ), ( 8^8 ) }
Outer automorphisms :: reflexible
Dual of E13.445
Graph:: simple bipartite
	v = 24 e = 64 f = 16
	degree seq :: [ 4^16, 8^8 ]

E13.437 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 4, 4, 4})
Quotient :: edge^2
Aut^+ = (C4 x C4) : C2 (small group id <32, 11>)
Aut   = ((C4 x C4) : C2) : C2 (small group id <64, 136>)
|r| :: 2
Presentation :: [ R^2, Y2^2 * Y1^-2, Y2 * Y1^-1 * Y3^2, Y3^4, Y2 * Y3^-2 * Y1^-1, Y1^4, (Y2 * Y1^-1)^2, Y3^-1 * Y2 * Y1^-1 * Y3^-1, R * Y1 * R * Y2, (R * Y3)^2, Y1^-1 * Y3 * Y1^2 * Y3 * Y1^-1, (Y2^-1 * Y3 * Y2^-1)^2, Y3^-1 * Y2 * Y3 * Y1^-1 * Y3 * Y1 * Y3^-1 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 33, 4, 36, 11, 43, 7, 39)(2, 34, 10, 42, 3, 35, 12, 44)(5, 37, 17, 49, 6, 38, 18, 50)(8, 40, 19, 51, 9, 41, 20, 52)(13, 45, 25, 57, 14, 46, 26, 58)(15, 47, 27, 59, 16, 48, 28, 60)(21, 53, 29, 61, 22, 54, 30, 62)(23, 55, 31, 63, 24, 56, 32, 64)(65, 66, 72, 69)(67, 73, 70, 75)(68, 77, 84, 79)(71, 78, 83, 80)(74, 85, 82, 87)(76, 86, 81, 88)(89, 93, 92, 96)(90, 94, 91, 95)(97, 99, 104, 102)(98, 105, 101, 107)(100, 110, 116, 112)(103, 109, 115, 111)(106, 118, 114, 120)(108, 117, 113, 119)(121, 126, 124, 127)(122, 125, 123, 128)
	L = (1, 65)(2, 66)(3, 67)(4, 68)(5, 69)(6, 70)(7, 71)(8, 72)(9, 73)(10, 74)(11, 75)(12, 76)(13, 77)(14, 78)(15, 79)(16, 80)(17, 81)(18, 82)(19, 83)(20, 84)(21, 85)(22, 86)(23, 87)(24, 88)(25, 89)(26, 90)(27, 91)(28, 92)(29, 93)(30, 94)(31, 95)(32, 96)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 8^4 ), ( 8^8 ) }
Outer automorphisms :: reflexible
Dual of E13.446
Graph:: simple bipartite
	v = 24 e = 64 f = 16
	degree seq :: [ 4^16, 8^8 ]

E13.438 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 4, 4, 4})
Quotient :: edge^2
Aut^+ = (C2 x Q8) : C2 (small group id <32, 44>)
Aut   = ((C4 x C4) : C2) : C2 (small group id <64, 136>)
|r| :: 2
Presentation :: [ R^2, Y2^2 * Y1^2, (Y2, Y1^-1), Y3^2 * Y1^-2, Y3^4, Y1^4, Y2^2 * Y3^2, (R * Y3)^2, Y2^2 * Y1^-2, Y2 * Y3^-2 * Y2, R * Y1 * R * Y2, Y3 * Y2 * Y1^-1 * Y3^-1 * Y2^-1 * Y1^-1, Y2 * Y3^-1 * Y2^-1 * Y1 * Y3^-1 * Y1^-1, Y3 * Y1 * Y3 * Y1 * Y3^-1 * Y2 * Y3 * Y2^-1, Y3^-1 * Y1 * Y3^-1 * Y2^-1 * Y3^-1 * Y2^-1 * Y3^-1 * Y1 ]
Map:: polytopal non-degenerate
	R = (1, 33, 4, 36, 8, 40, 7, 39)(2, 34, 10, 42, 5, 37, 12, 44)(3, 35, 13, 45, 6, 38, 14, 46)(9, 41, 19, 51, 11, 43, 20, 52)(15, 47, 25, 57, 17, 49, 26, 58)(16, 48, 27, 59, 18, 50, 28, 60)(21, 53, 29, 61, 23, 55, 30, 62)(22, 54, 31, 63, 24, 56, 32, 64)(65, 66, 72, 69)(67, 73, 70, 75)(68, 79, 71, 81)(74, 85, 76, 87)(77, 88, 78, 86)(80, 84, 82, 83)(89, 94, 90, 93)(91, 96, 92, 95)(97, 99, 104, 102)(98, 105, 101, 107)(100, 112, 103, 114)(106, 118, 108, 120)(109, 119, 110, 117)(111, 116, 113, 115)(121, 127, 122, 128)(123, 125, 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) :: { ( 8^4 ), ( 8^8 ) }
Outer automorphisms :: reflexible
Dual of E13.447
Graph:: bipartite
	v = 24 e = 64 f = 16
	degree seq :: [ 4^16, 8^8 ]

E13.439 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 4, 4, 4})
Quotient :: edge^2
Aut^+ = (C4 x C4) : C2 (small group id <32, 11>)
Aut   = ((C4 x C4) : C2) : C2 (small group id <64, 134>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2 * Y1^-1, (R * Y3)^2, R * Y2 * R * Y1, Y1^4, Y2^4, Y3 * Y1 * Y3 * Y1 * Y3 * Y1^-1 * Y3 * Y1^-1, (Y1^-1 * Y3 * Y2^-1)^4 ]
Map:: polytopal non-degenerate
	R = (1, 33, 3, 35)(2, 34, 6, 38)(4, 36, 9, 41)(5, 37, 10, 42)(7, 39, 14, 46)(8, 40, 15, 47)(11, 43, 21, 53)(12, 44, 22, 54)(13, 45, 23, 55)(16, 48, 24, 56)(17, 49, 25, 57)(18, 50, 28, 60)(19, 51, 29, 61)(20, 52, 30, 62)(26, 58, 31, 63)(27, 59, 32, 64)(65, 66, 69, 68)(67, 71, 77, 72)(70, 75, 84, 76)(73, 80, 90, 81)(74, 82, 91, 83)(78, 85, 92, 88)(79, 86, 93, 89)(87, 94, 96, 95)(97, 98, 101, 100)(99, 103, 109, 104)(102, 107, 116, 108)(105, 112, 122, 113)(106, 114, 123, 115)(110, 117, 124, 120)(111, 118, 125, 121)(119, 126, 128, 127)
	L = (1, 65)(2, 66)(3, 67)(4, 68)(5, 69)(6, 70)(7, 71)(8, 72)(9, 73)(10, 74)(11, 75)(12, 76)(13, 77)(14, 78)(15, 79)(16, 80)(17, 81)(18, 82)(19, 83)(20, 84)(21, 85)(22, 86)(23, 87)(24, 88)(25, 89)(26, 90)(27, 91)(28, 92)(29, 93)(30, 94)(31, 95)(32, 96)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 16^4 ) }
Outer automorphisms :: reflexible
Dual of E13.442
Graph:: simple bipartite
	v = 32 e = 64 f = 8
	degree seq :: [ 4^32 ]

E13.440 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 4, 4, 4})
Quotient :: edge^2
Aut^+ = (C4 x C4) : C2 (small group id <32, 11>)
Aut   = ((C4 x C4) : C2) : C2 (small group id <64, 136>)
|r| :: 2
Presentation :: [ R^2, Y3^2, (Y1^-1 * Y2)^2, Y2^4, Y1^2 * Y2^2, Y2^-2 * Y1^2, (R * Y3)^2, R * Y2 * R * Y1, Y2 * Y3 * Y2 * Y1^-1 * Y3 * Y1^-1, Y3 * Y2^2 * Y3 * Y2^-1 * Y1^-1, Y3 * Y1 * Y3 * Y2 * Y3 * Y2^-1 * Y3 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 33, 4, 36)(2, 34, 9, 41)(3, 35, 11, 43)(5, 37, 16, 48)(6, 38, 17, 49)(7, 39, 18, 50)(8, 40, 19, 51)(10, 42, 24, 56)(12, 44, 25, 57)(13, 45, 26, 58)(14, 46, 27, 59)(15, 47, 28, 60)(20, 52, 29, 61)(21, 53, 30, 62)(22, 54, 31, 63)(23, 55, 32, 64)(65, 66, 71, 69)(67, 72, 70, 74)(68, 76, 83, 78)(73, 84, 81, 86)(75, 85, 80, 87)(77, 82, 79, 88)(89, 93, 92, 96)(90, 94, 91, 95)(97, 99, 103, 102)(98, 104, 101, 106)(100, 109, 115, 111)(105, 117, 113, 119)(107, 116, 112, 118)(108, 114, 110, 120)(121, 126, 124, 127)(122, 125, 123, 128)
	L = (1, 65)(2, 66)(3, 67)(4, 68)(5, 69)(6, 70)(7, 71)(8, 72)(9, 73)(10, 74)(11, 75)(12, 76)(13, 77)(14, 78)(15, 79)(16, 80)(17, 81)(18, 82)(19, 83)(20, 84)(21, 85)(22, 86)(23, 87)(24, 88)(25, 89)(26, 90)(27, 91)(28, 92)(29, 93)(30, 94)(31, 95)(32, 96)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 16^4 ) }
Outer automorphisms :: reflexible
Dual of E13.443
Graph:: simple bipartite
	v = 32 e = 64 f = 8
	degree seq :: [ 4^32 ]

E13.441 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 4, 4, 4})
Quotient :: edge^2
Aut^+ = (C2 x Q8) : C2 (small group id <32, 44>)
Aut   = ((C4 x C4) : C2) : C2 (small group id <64, 136>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2^2 * Y1^2, (Y2, Y1), (R * Y3)^2, Y1^4, R * Y2 * R * Y1, Y2^4, Y3 * Y1^-1 * Y2^-1 * Y3 * Y2 * Y1^-1, Y1 * Y3 * Y2^2 * Y3 * Y1, Y2 * Y3 * Y1 * Y2 * Y3 * Y1^-1, Y3 * Y1 * Y3 * Y2^-1 * Y3 * Y2 * Y3 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 33, 4, 36)(2, 34, 9, 41)(3, 35, 11, 43)(5, 37, 16, 48)(6, 38, 17, 49)(7, 39, 18, 50)(8, 40, 19, 51)(10, 42, 24, 56)(12, 44, 25, 57)(13, 45, 26, 58)(14, 46, 27, 59)(15, 47, 28, 60)(20, 52, 29, 61)(21, 53, 30, 62)(22, 54, 31, 63)(23, 55, 32, 64)(65, 66, 71, 69)(67, 72, 70, 74)(68, 76, 82, 78)(73, 84, 80, 86)(75, 87, 81, 85)(77, 88, 79, 83)(89, 95, 91, 93)(90, 96, 92, 94)(97, 99, 103, 102)(98, 104, 101, 106)(100, 109, 114, 111)(105, 117, 112, 119)(107, 118, 113, 116)(108, 120, 110, 115)(121, 126, 123, 128)(122, 125, 124, 127)
	L = (1, 65)(2, 66)(3, 67)(4, 68)(5, 69)(6, 70)(7, 71)(8, 72)(9, 73)(10, 74)(11, 75)(12, 76)(13, 77)(14, 78)(15, 79)(16, 80)(17, 81)(18, 82)(19, 83)(20, 84)(21, 85)(22, 86)(23, 87)(24, 88)(25, 89)(26, 90)(27, 91)(28, 92)(29, 93)(30, 94)(31, 95)(32, 96)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 16^4 ) }
Outer automorphisms :: reflexible
Dual of E13.444
Graph:: simple bipartite
	v = 32 e = 64 f = 8
	degree seq :: [ 4^32 ]

E13.442 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 4, 4, 4})
Quotient :: loop^2
Aut^+ = (C4 x C4) : C2 (small group id <32, 11>)
Aut   = ((C4 x C4) : C2) : C2 (small group id <64, 134>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y1^-1, Y2^-1 * Y1^-2 * Y2^-1, R * Y1 * R * Y2, Y2^4, Y1^4, (R * Y3)^2, Y3^4, Y2^-1 * Y3 * Y1^-2 * Y3 * Y1^-1, Y3 * Y1 * Y3^2 * Y1^-1 * Y3, (Y1^-1 * Y3^-1 * Y2^-1)^2, Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 33, 65, 97, 3, 35, 67, 99, 10, 42, 74, 106, 5, 37, 69, 101)(2, 34, 66, 98, 7, 39, 71, 103, 19, 51, 83, 115, 8, 40, 72, 104)(4, 36, 68, 100, 12, 44, 76, 108, 25, 57, 89, 121, 13, 45, 77, 109)(6, 38, 70, 102, 16, 48, 80, 112, 28, 60, 92, 124, 17, 49, 81, 113)(9, 41, 73, 105, 23, 55, 87, 119, 14, 46, 78, 110, 24, 56, 88, 120)(11, 43, 75, 107, 26, 58, 90, 122, 15, 47, 79, 111, 27, 59, 91, 123)(18, 50, 82, 114, 29, 61, 93, 125, 21, 53, 85, 117, 30, 62, 94, 126)(20, 52, 84, 116, 31, 63, 95, 127, 22, 54, 86, 118, 32, 64, 96, 128)
	L = (1, 34)(2, 38)(3, 41)(4, 33)(5, 46)(6, 36)(7, 50)(8, 53)(9, 49)(10, 51)(11, 35)(12, 54)(13, 52)(14, 48)(15, 37)(16, 47)(17, 43)(18, 45)(19, 60)(20, 39)(21, 44)(22, 40)(23, 61)(24, 62)(25, 42)(26, 63)(27, 64)(28, 57)(29, 59)(30, 58)(31, 56)(32, 55)(65, 98)(66, 102)(67, 105)(68, 97)(69, 110)(70, 100)(71, 114)(72, 117)(73, 113)(74, 115)(75, 99)(76, 118)(77, 116)(78, 112)(79, 101)(80, 111)(81, 107)(82, 109)(83, 124)(84, 103)(85, 108)(86, 104)(87, 125)(88, 126)(89, 106)(90, 127)(91, 128)(92, 121)(93, 123)(94, 122)(95, 120)(96, 119)
	local type(s) :: { ( 4^16 ) }
Outer automorphisms :: reflexible
Dual of E13.439
Transitivity :: VT+
Graph:: bipartite
	v = 8 e = 64 f = 32
	degree seq :: [ 16^8 ]

E13.443 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 4, 4, 4})
Quotient :: loop^2
Aut^+ = (C4 x C4) : C2 (small group id <32, 11>)
Aut   = ((C4 x C4) : C2) : C2 (small group id <64, 136>)
|r| :: 2
Presentation :: [ R^2, Y2^2 * Y1^-2, Y2 * Y1^-1 * Y3^2, Y3^4, Y2 * Y3^-2 * Y1^-1, Y1^4, (Y2 * Y1^-1)^2, Y3^-1 * Y2 * Y1^-1 * Y3^-1, R * Y1 * R * Y2, (R * Y3)^2, Y1^-1 * Y3 * Y1^2 * Y3 * Y1^-1, (Y2^-1 * Y3 * Y2^-1)^2, Y3^-1 * Y2 * Y3 * Y1^-1 * Y3 * Y1 * Y3^-1 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 33, 65, 97, 4, 36, 68, 100, 11, 43, 75, 107, 7, 39, 71, 103)(2, 34, 66, 98, 10, 42, 74, 106, 3, 35, 67, 99, 12, 44, 76, 108)(5, 37, 69, 101, 17, 49, 81, 113, 6, 38, 70, 102, 18, 50, 82, 114)(8, 40, 72, 104, 19, 51, 83, 115, 9, 41, 73, 105, 20, 52, 84, 116)(13, 45, 77, 109, 25, 57, 89, 121, 14, 46, 78, 110, 26, 58, 90, 122)(15, 47, 79, 111, 27, 59, 91, 123, 16, 48, 80, 112, 28, 60, 92, 124)(21, 53, 85, 117, 29, 61, 93, 125, 22, 54, 86, 118, 30, 62, 94, 126)(23, 55, 87, 119, 31, 63, 95, 127, 24, 56, 88, 120, 32, 64, 96, 128)
	L = (1, 34)(2, 40)(3, 41)(4, 45)(5, 33)(6, 43)(7, 46)(8, 37)(9, 38)(10, 53)(11, 35)(12, 54)(13, 52)(14, 51)(15, 36)(16, 39)(17, 56)(18, 55)(19, 48)(20, 47)(21, 50)(22, 49)(23, 42)(24, 44)(25, 61)(26, 62)(27, 63)(28, 64)(29, 60)(30, 59)(31, 58)(32, 57)(65, 99)(66, 105)(67, 104)(68, 110)(69, 107)(70, 97)(71, 109)(72, 102)(73, 101)(74, 118)(75, 98)(76, 117)(77, 115)(78, 116)(79, 103)(80, 100)(81, 119)(82, 120)(83, 111)(84, 112)(85, 113)(86, 114)(87, 108)(88, 106)(89, 126)(90, 125)(91, 128)(92, 127)(93, 123)(94, 124)(95, 121)(96, 122)
	local type(s) :: { ( 4^16 ) }
Outer automorphisms :: reflexible
Dual of E13.440
Transitivity :: VT+
Graph:: bipartite
	v = 8 e = 64 f = 32
	degree seq :: [ 16^8 ]

E13.444 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 4, 4, 4})
Quotient :: loop^2
Aut^+ = (C2 x Q8) : C2 (small group id <32, 44>)
Aut   = ((C4 x C4) : C2) : C2 (small group id <64, 136>)
|r| :: 2
Presentation :: [ R^2, Y2^2 * Y1^2, (Y2, Y1^-1), Y3^2 * Y1^-2, Y3^4, Y1^4, Y2^2 * Y3^2, (R * Y3)^2, Y2^2 * Y1^-2, Y2 * Y3^-2 * Y2, R * Y1 * R * Y2, Y3 * Y2 * Y1^-1 * Y3^-1 * Y2^-1 * Y1^-1, Y2 * Y3^-1 * Y2^-1 * Y1 * Y3^-1 * Y1^-1, Y3 * Y1 * Y3 * Y1 * Y3^-1 * Y2 * Y3 * Y2^-1, Y3^-1 * Y1 * Y3^-1 * Y2^-1 * Y3^-1 * Y2^-1 * Y3^-1 * Y1 ]
Map:: non-degenerate
	R = (1, 33, 65, 97, 4, 36, 68, 100, 8, 40, 72, 104, 7, 39, 71, 103)(2, 34, 66, 98, 10, 42, 74, 106, 5, 37, 69, 101, 12, 44, 76, 108)(3, 35, 67, 99, 13, 45, 77, 109, 6, 38, 70, 102, 14, 46, 78, 110)(9, 41, 73, 105, 19, 51, 83, 115, 11, 43, 75, 107, 20, 52, 84, 116)(15, 47, 79, 111, 25, 57, 89, 121, 17, 49, 81, 113, 26, 58, 90, 122)(16, 48, 80, 112, 27, 59, 91, 123, 18, 50, 82, 114, 28, 60, 92, 124)(21, 53, 85, 117, 29, 61, 93, 125, 23, 55, 87, 119, 30, 62, 94, 126)(22, 54, 86, 118, 31, 63, 95, 127, 24, 56, 88, 120, 32, 64, 96, 128)
	L = (1, 34)(2, 40)(3, 41)(4, 47)(5, 33)(6, 43)(7, 49)(8, 37)(9, 38)(10, 53)(11, 35)(12, 55)(13, 56)(14, 54)(15, 39)(16, 52)(17, 36)(18, 51)(19, 48)(20, 50)(21, 44)(22, 45)(23, 42)(24, 46)(25, 62)(26, 61)(27, 64)(28, 63)(29, 57)(30, 58)(31, 59)(32, 60)(65, 99)(66, 105)(67, 104)(68, 112)(69, 107)(70, 97)(71, 114)(72, 102)(73, 101)(74, 118)(75, 98)(76, 120)(77, 119)(78, 117)(79, 116)(80, 103)(81, 115)(82, 100)(83, 111)(84, 113)(85, 109)(86, 108)(87, 110)(88, 106)(89, 127)(90, 128)(91, 125)(92, 126)(93, 124)(94, 123)(95, 122)(96, 121)
	local type(s) :: { ( 4^16 ) }
Outer automorphisms :: reflexible
Dual of E13.441
Transitivity :: VT+
Graph:: bipartite
	v = 8 e = 64 f = 32
	degree seq :: [ 16^8 ]

E13.445 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 4, 4, 4})
Quotient :: loop^2
Aut^+ = (C4 x C4) : C2 (small group id <32, 11>)
Aut   = ((C4 x C4) : C2) : C2 (small group id <64, 134>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2 * Y1^-1, (R * Y3)^2, R * Y2 * R * Y1, Y1^4, Y2^4, Y3 * Y1 * Y3 * Y1 * Y3 * Y1^-1 * Y3 * Y1^-1, (Y1^-1 * Y3 * Y2^-1)^4 ]
Map:: polytopal non-degenerate
	R = (1, 33, 65, 97, 3, 35, 67, 99)(2, 34, 66, 98, 6, 38, 70, 102)(4, 36, 68, 100, 9, 41, 73, 105)(5, 37, 69, 101, 10, 42, 74, 106)(7, 39, 71, 103, 14, 46, 78, 110)(8, 40, 72, 104, 15, 47, 79, 111)(11, 43, 75, 107, 21, 53, 85, 117)(12, 44, 76, 108, 22, 54, 86, 118)(13, 45, 77, 109, 23, 55, 87, 119)(16, 48, 80, 112, 24, 56, 88, 120)(17, 49, 81, 113, 25, 57, 89, 121)(18, 50, 82, 114, 28, 60, 92, 124)(19, 51, 83, 115, 29, 61, 93, 125)(20, 52, 84, 116, 30, 62, 94, 126)(26, 58, 90, 122, 31, 63, 95, 127)(27, 59, 91, 123, 32, 64, 96, 128)
	L = (1, 34)(2, 37)(3, 39)(4, 33)(5, 36)(6, 43)(7, 45)(8, 35)(9, 48)(10, 50)(11, 52)(12, 38)(13, 40)(14, 53)(15, 54)(16, 58)(17, 41)(18, 59)(19, 42)(20, 44)(21, 60)(22, 61)(23, 62)(24, 46)(25, 47)(26, 49)(27, 51)(28, 56)(29, 57)(30, 64)(31, 55)(32, 63)(65, 98)(66, 101)(67, 103)(68, 97)(69, 100)(70, 107)(71, 109)(72, 99)(73, 112)(74, 114)(75, 116)(76, 102)(77, 104)(78, 117)(79, 118)(80, 122)(81, 105)(82, 123)(83, 106)(84, 108)(85, 124)(86, 125)(87, 126)(88, 110)(89, 111)(90, 113)(91, 115)(92, 120)(93, 121)(94, 128)(95, 119)(96, 127)
	local type(s) :: { ( 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E13.436
Transitivity :: VT+
Graph:: bipartite
	v = 16 e = 64 f = 24
	degree seq :: [ 8^16 ]

E13.446 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 4, 4, 4})
Quotient :: loop^2
Aut^+ = (C4 x C4) : C2 (small group id <32, 11>)
Aut   = ((C4 x C4) : C2) : C2 (small group id <64, 136>)
|r| :: 2
Presentation :: [ R^2, Y3^2, (Y1^-1 * Y2)^2, Y2^4, Y1^2 * Y2^2, Y2^-2 * Y1^2, (R * Y3)^2, R * Y2 * R * Y1, Y2 * Y3 * Y2 * Y1^-1 * Y3 * Y1^-1, Y3 * Y2^2 * Y3 * Y2^-1 * Y1^-1, Y3 * Y1 * Y3 * Y2 * Y3 * Y2^-1 * Y3 * Y1^-1 ]
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, 11, 43, 75, 107)(5, 37, 69, 101, 16, 48, 80, 112)(6, 38, 70, 102, 17, 49, 81, 113)(7, 39, 71, 103, 18, 50, 82, 114)(8, 40, 72, 104, 19, 51, 83, 115)(10, 42, 74, 106, 24, 56, 88, 120)(12, 44, 76, 108, 25, 57, 89, 121)(13, 45, 77, 109, 26, 58, 90, 122)(14, 46, 78, 110, 27, 59, 91, 123)(15, 47, 79, 111, 28, 60, 92, 124)(20, 52, 84, 116, 29, 61, 93, 125)(21, 53, 85, 117, 30, 62, 94, 126)(22, 54, 86, 118, 31, 63, 95, 127)(23, 55, 87, 119, 32, 64, 96, 128)
	L = (1, 34)(2, 39)(3, 40)(4, 44)(5, 33)(6, 42)(7, 37)(8, 38)(9, 52)(10, 35)(11, 53)(12, 51)(13, 50)(14, 36)(15, 56)(16, 55)(17, 54)(18, 47)(19, 46)(20, 49)(21, 48)(22, 41)(23, 43)(24, 45)(25, 61)(26, 62)(27, 63)(28, 64)(29, 60)(30, 59)(31, 58)(32, 57)(65, 99)(66, 104)(67, 103)(68, 109)(69, 106)(70, 97)(71, 102)(72, 101)(73, 117)(74, 98)(75, 116)(76, 114)(77, 115)(78, 120)(79, 100)(80, 118)(81, 119)(82, 110)(83, 111)(84, 112)(85, 113)(86, 107)(87, 105)(88, 108)(89, 126)(90, 125)(91, 128)(92, 127)(93, 123)(94, 124)(95, 121)(96, 122)
	local type(s) :: { ( 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E13.437
Transitivity :: VT+
Graph:: simple bipartite
	v = 16 e = 64 f = 24
	degree seq :: [ 8^16 ]

E13.447 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 4, 4, 4})
Quotient :: loop^2
Aut^+ = (C2 x Q8) : C2 (small group id <32, 44>)
Aut   = ((C4 x C4) : C2) : C2 (small group id <64, 136>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2^2 * Y1^2, (Y2, Y1), (R * Y3)^2, Y1^4, R * Y2 * R * Y1, Y2^4, Y3 * Y1^-1 * Y2^-1 * Y3 * Y2 * Y1^-1, Y1 * Y3 * Y2^2 * Y3 * Y1, Y2 * Y3 * Y1 * Y2 * Y3 * Y1^-1, Y3 * Y1 * Y3 * Y2^-1 * Y3 * Y2 * Y3 * Y1^-1 ]
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, 11, 43, 75, 107)(5, 37, 69, 101, 16, 48, 80, 112)(6, 38, 70, 102, 17, 49, 81, 113)(7, 39, 71, 103, 18, 50, 82, 114)(8, 40, 72, 104, 19, 51, 83, 115)(10, 42, 74, 106, 24, 56, 88, 120)(12, 44, 76, 108, 25, 57, 89, 121)(13, 45, 77, 109, 26, 58, 90, 122)(14, 46, 78, 110, 27, 59, 91, 123)(15, 47, 79, 111, 28, 60, 92, 124)(20, 52, 84, 116, 29, 61, 93, 125)(21, 53, 85, 117, 30, 62, 94, 126)(22, 54, 86, 118, 31, 63, 95, 127)(23, 55, 87, 119, 32, 64, 96, 128)
	L = (1, 34)(2, 39)(3, 40)(4, 44)(5, 33)(6, 42)(7, 37)(8, 38)(9, 52)(10, 35)(11, 55)(12, 50)(13, 56)(14, 36)(15, 51)(16, 54)(17, 53)(18, 46)(19, 45)(20, 48)(21, 43)(22, 41)(23, 49)(24, 47)(25, 63)(26, 64)(27, 61)(28, 62)(29, 57)(30, 58)(31, 59)(32, 60)(65, 99)(66, 104)(67, 103)(68, 109)(69, 106)(70, 97)(71, 102)(72, 101)(73, 117)(74, 98)(75, 118)(76, 120)(77, 114)(78, 115)(79, 100)(80, 119)(81, 116)(82, 111)(83, 108)(84, 107)(85, 112)(86, 113)(87, 105)(88, 110)(89, 126)(90, 125)(91, 128)(92, 127)(93, 124)(94, 123)(95, 122)(96, 121)
	local type(s) :: { ( 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E13.438
Transitivity :: VT+
Graph:: simple bipartite
	v = 16 e = 64 f = 24
	degree seq :: [ 8^16 ]

E13.448 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 4, 4})
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 :: [ Y1^2, Y3^2, R^2, Y2^2 * Y3, (R * Y1)^2, (R * Y3)^2, (R * Y2)^2, (Y3 * Y1)^4, Y2 * Y1 * Y3 * Y1 * Y2^-1 * Y1 * Y3 * Y1, Y2 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 ]
Map:: non-degenerate
	R = (1, 33, 2, 34)(3, 35, 9, 41)(4, 36, 10, 42)(5, 37, 11, 43)(6, 38, 12, 44)(7, 39, 13, 45)(8, 40, 14, 46)(15, 47, 24, 56)(16, 48, 27, 59)(17, 49, 30, 62)(18, 50, 25, 57)(19, 51, 28, 60)(20, 52, 31, 63)(21, 53, 26, 58)(22, 54, 29, 61)(23, 55, 32, 64)(65, 97, 67, 99, 68, 100, 69, 101)(66, 98, 70, 102, 71, 103, 72, 104)(73, 105, 79, 111, 80, 112, 81, 113)(74, 106, 82, 114, 83, 115, 84, 116)(75, 107, 85, 117, 86, 118, 87, 119)(76, 108, 88, 120, 89, 121, 90, 122)(77, 109, 91, 123, 92, 124, 93, 125)(78, 110, 94, 126, 95, 127, 96, 128)
	L = (1, 68)(2, 71)(3, 69)(4, 65)(5, 67)(6, 72)(7, 66)(8, 70)(9, 80)(10, 83)(11, 86)(12, 89)(13, 92)(14, 95)(15, 81)(16, 73)(17, 79)(18, 84)(19, 74)(20, 82)(21, 87)(22, 75)(23, 85)(24, 90)(25, 76)(26, 88)(27, 93)(28, 77)(29, 91)(30, 96)(31, 78)(32, 94)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 8^4 ), ( 8^8 ) }
Outer automorphisms :: reflexible
Dual of E13.452
Graph:: bipartite
	v = 24 e = 64 f = 16
	degree seq :: [ 4^16, 8^8 ]

E13.449 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 4, 4})
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 :: [ Y1^2, Y3^2, R^2, (R * Y3)^2, (R * Y1)^2, (Y2^-1 * R)^2, Y2^-1 * Y3 * Y2 * Y3, Y2^4, Y2^-1 * Y1 * Y3 * Y1 * Y2^-1, Y2 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 ]
Map:: non-degenerate
	R = (1, 33, 2, 34)(3, 35, 9, 41)(4, 36, 12, 44)(5, 37, 14, 46)(6, 38, 15, 47)(7, 39, 10, 42)(8, 40, 18, 50)(11, 43, 22, 54)(13, 45, 24, 56)(16, 48, 29, 61)(17, 49, 30, 62)(19, 51, 27, 59)(20, 52, 31, 63)(21, 53, 23, 55)(25, 57, 28, 60)(26, 58, 32, 64)(65, 97, 67, 99, 74, 106, 69, 101)(66, 98, 70, 102, 76, 108, 72, 104)(68, 100, 75, 107, 85, 117, 77, 109)(71, 103, 80, 112, 87, 119, 81, 113)(73, 105, 83, 115, 86, 118, 84, 116)(78, 110, 89, 121, 88, 120, 90, 122)(79, 111, 91, 123, 93, 125, 92, 124)(82, 114, 95, 127, 94, 126, 96, 128)
	L = (1, 68)(2, 71)(3, 75)(4, 65)(5, 77)(6, 80)(7, 66)(8, 81)(9, 78)(10, 85)(11, 67)(12, 87)(13, 69)(14, 73)(15, 82)(16, 70)(17, 72)(18, 79)(19, 89)(20, 90)(21, 74)(22, 88)(23, 76)(24, 86)(25, 83)(26, 84)(27, 95)(28, 96)(29, 94)(30, 93)(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) :: { ( 8^4 ), ( 8^8 ) }
Outer automorphisms :: reflexible
Dual of E13.453
Graph:: simple bipartite
	v = 24 e = 64 f = 16
	degree seq :: [ 4^16, 8^8 ]

E13.450 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 4, 4})
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 :: [ Y1^2, R^2, (Y3, Y2^-1), (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, Y3^-1 * Y1 * Y3 * Y1, Y2^4, Y3^4, Y1 * Y2^-1 * Y3^-1 * Y1 * Y2^-1 ]
Map:: polytopal 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, 18, 50)(9, 41, 13, 45)(12, 44, 25, 57)(14, 46, 24, 56)(15, 47, 21, 53)(16, 48, 30, 62)(19, 51, 32, 64)(20, 52, 29, 61)(22, 54, 28, 60)(23, 55, 26, 58)(27, 59, 31, 63)(65, 97, 67, 99, 76, 108, 69, 101)(66, 98, 71, 103, 83, 115, 73, 105)(68, 100, 77, 109, 90, 122, 80, 112)(70, 102, 78, 110, 91, 123, 82, 114)(72, 104, 81, 113, 95, 127, 86, 118)(74, 106, 84, 116, 87, 119, 75, 107)(79, 111, 92, 124, 96, 128, 93, 125)(85, 117, 94, 126, 89, 121, 88, 120)
	L = (1, 68)(2, 72)(3, 77)(4, 79)(5, 80)(6, 65)(7, 81)(8, 85)(9, 86)(10, 66)(11, 73)(12, 90)(13, 92)(14, 67)(15, 70)(16, 93)(17, 94)(18, 69)(19, 95)(20, 71)(21, 74)(22, 88)(23, 83)(24, 75)(25, 87)(26, 96)(27, 76)(28, 78)(29, 82)(30, 84)(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) :: { ( 8^4 ), ( 8^8 ) }
Outer automorphisms :: reflexible
Dual of E13.454
Graph:: simple bipartite
	v = 24 e = 64 f = 16
	degree seq :: [ 4^16, 8^8 ]

E13.451 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 4, 4})
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 :: [ Y1^2, R^2, (R * Y2)^2, (R * Y3)^2, (R * Y1)^2, (Y3, Y2), Y3^-1 * Y1 * Y3 * Y1, Y2^4, Y3^4, Y3^-1 * Y1 * Y2 * Y1 * Y2 ]
Map:: polytopal 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, 16, 48)(9, 41, 14, 46)(12, 44, 25, 57)(13, 45, 23, 55)(15, 47, 21, 53)(18, 50, 31, 63)(19, 51, 32, 64)(20, 52, 29, 61)(22, 54, 28, 60)(24, 56, 27, 59)(26, 58, 30, 62)(65, 97, 67, 99, 76, 108, 69, 101)(66, 98, 71, 103, 83, 115, 73, 105)(68, 100, 77, 109, 90, 122, 80, 112)(70, 102, 78, 110, 91, 123, 82, 114)(72, 104, 84, 116, 88, 120, 75, 107)(74, 106, 81, 113, 94, 126, 86, 118)(79, 111, 92, 124, 96, 128, 93, 125)(85, 117, 95, 127, 89, 121, 87, 119)
	L = (1, 68)(2, 72)(3, 77)(4, 79)(5, 80)(6, 65)(7, 84)(8, 85)(9, 75)(10, 66)(11, 87)(12, 90)(13, 92)(14, 67)(15, 70)(16, 93)(17, 71)(18, 69)(19, 88)(20, 95)(21, 74)(22, 73)(23, 86)(24, 89)(25, 94)(26, 96)(27, 76)(28, 78)(29, 82)(30, 83)(31, 81)(32, 91)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 8^4 ), ( 8^8 ) }
Outer automorphisms :: reflexible
Dual of E13.455
Graph:: simple bipartite
	v = 24 e = 64 f = 16
	degree seq :: [ 4^16, 8^8 ]

E13.452 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 4, 4})
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, Y2^2 * Y3, (Y1^-1 * Y3)^2, Y1^4, (R * Y3)^2, (R * Y2)^2, (R * Y1)^2, Y1 * Y2^-1 * Y1^2 * Y2 * Y1, Y2 * Y1^-1 * Y2 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 7, 39, 5, 37)(3, 35, 11, 43, 18, 50, 12, 44)(4, 36, 13, 45, 19, 51, 9, 41)(6, 38, 16, 48, 20, 52, 17, 49)(8, 40, 21, 53, 14, 46, 22, 54)(10, 42, 23, 55, 15, 47, 24, 56)(25, 57, 29, 61, 27, 59, 31, 63)(26, 58, 32, 64, 28, 60, 30, 62)(65, 97, 67, 99, 68, 100, 70, 102)(66, 98, 72, 104, 73, 105, 74, 106)(69, 101, 78, 110, 77, 109, 79, 111)(71, 103, 82, 114, 83, 115, 84, 116)(75, 107, 89, 121, 81, 113, 90, 122)(76, 108, 91, 123, 80, 112, 92, 124)(85, 117, 93, 125, 88, 120, 94, 126)(86, 118, 95, 127, 87, 119, 96, 128)
	L = (1, 68)(2, 73)(3, 70)(4, 65)(5, 77)(6, 67)(7, 83)(8, 74)(9, 66)(10, 72)(11, 81)(12, 80)(13, 69)(14, 79)(15, 78)(16, 76)(17, 75)(18, 84)(19, 71)(20, 82)(21, 88)(22, 87)(23, 86)(24, 85)(25, 90)(26, 89)(27, 92)(28, 91)(29, 94)(30, 93)(31, 96)(32, 95)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E13.448
Graph:: bipartite
	v = 16 e = 64 f = 24
	degree seq :: [ 8^16 ]

E13.453 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 4, 4})
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, (Y3 * Y1^-1)^2, (R * Y1)^2, Y2^-1 * Y3 * Y2 * Y3, (Y2^-1 * R)^2, Y1^4, Y2^4, Y1 * Y2^-2 * Y1^-1 * Y3, Y1 * Y3 * Y2^2 * Y1, Y2 * Y1^-1 * Y2 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1^-1, Y2 * Y1 * Y2 * Y1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 7, 39, 5, 37)(3, 35, 11, 43, 16, 48, 14, 46)(4, 36, 15, 47, 12, 44, 9, 41)(6, 38, 19, 51, 13, 45, 20, 52)(8, 40, 21, 53, 17, 49, 22, 54)(10, 42, 23, 55, 18, 50, 24, 56)(25, 57, 29, 61, 27, 59, 31, 63)(26, 58, 32, 64, 28, 60, 30, 62)(65, 97, 67, 99, 76, 108, 70, 102)(66, 98, 72, 104, 79, 111, 74, 106)(68, 100, 77, 109, 71, 103, 80, 112)(69, 101, 81, 113, 73, 105, 82, 114)(75, 107, 89, 121, 84, 116, 90, 122)(78, 110, 91, 123, 83, 115, 92, 124)(85, 117, 93, 125, 88, 120, 94, 126)(86, 118, 95, 127, 87, 119, 96, 128)
	L = (1, 68)(2, 73)(3, 77)(4, 65)(5, 79)(6, 80)(7, 76)(8, 82)(9, 66)(10, 81)(11, 83)(12, 71)(13, 67)(14, 84)(15, 69)(16, 70)(17, 74)(18, 72)(19, 75)(20, 78)(21, 87)(22, 88)(23, 85)(24, 86)(25, 92)(26, 91)(27, 90)(28, 89)(29, 96)(30, 95)(31, 94)(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, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E13.449
Graph:: bipartite
	v = 16 e = 64 f = 24
	degree seq :: [ 8^16 ]

E13.454 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 4, 4})
Quotient :: dipole
Aut^+ = (C4 x C4) : C2 (small group id <32, 11>)
Aut   = ((C4 x C4) : C2) : C2 (small group id <64, 134>)
|r| :: 2
Presentation :: [ R^2, Y3^2 * Y1^2, Y3^-2 * Y1^2, (R * Y2)^2, Y3^4, (R * Y3)^2, (Y3^-1, Y1^-1), Y2^4, Y1^4, (R * Y1)^2, (Y3^-1, Y2^-1), Y1 * Y2^-1 * Y1^-1 * Y3^-1 * Y2^-1, Y1 * Y2 * Y3 * Y1^-1 * Y2 ]
Map:: polytopal non-degenerate
	R = (1, 33, 2, 34, 8, 40, 5, 37)(3, 35, 13, 45, 24, 56, 16, 48)(4, 36, 10, 42, 7, 39, 12, 44)(6, 38, 21, 53, 25, 57, 22, 54)(9, 41, 18, 50, 19, 51, 23, 55)(11, 43, 17, 49, 20, 52, 15, 47)(14, 46, 28, 60, 32, 64, 26, 58)(27, 59, 30, 62, 31, 63, 29, 61)(65, 97, 67, 99, 78, 110, 70, 102)(66, 98, 73, 105, 90, 122, 75, 107)(68, 100, 79, 111, 93, 125, 82, 114)(69, 101, 83, 115, 92, 124, 84, 116)(71, 103, 81, 113, 94, 126, 87, 119)(72, 104, 88, 120, 96, 128, 89, 121)(74, 106, 85, 117, 95, 127, 80, 112)(76, 108, 86, 118, 91, 123, 77, 109)
	L = (1, 68)(2, 74)(3, 79)(4, 72)(5, 76)(6, 82)(7, 65)(8, 71)(9, 85)(10, 69)(11, 80)(12, 66)(13, 75)(14, 93)(15, 88)(16, 84)(17, 67)(18, 89)(19, 86)(20, 77)(21, 83)(22, 73)(23, 70)(24, 81)(25, 87)(26, 95)(27, 90)(28, 91)(29, 96)(30, 78)(31, 92)(32, 94)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E13.450
Graph:: simple bipartite
	v = 16 e = 64 f = 24
	degree seq :: [ 8^16 ]

E13.455 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 4, 4})
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, Y3^2 * Y1^2, Y3^-2 * Y1^2, Y1^4, (Y3^-1, Y1^-1), (R * Y1)^2, (R * Y2)^2, (R * Y3)^2, (Y3^-1, Y2^-1), Y2^4, Y1 * Y2^-1 * Y3 * Y1^-1 * Y2^-1, Y1^-1 * Y3^-1 * Y2 * Y1 * Y2 ]
Map:: polytopal non-degenerate
	R = (1, 33, 2, 34, 8, 40, 5, 37)(3, 35, 13, 45, 24, 56, 16, 48)(4, 36, 10, 42, 7, 39, 12, 44)(6, 38, 21, 53, 25, 57, 22, 54)(9, 41, 23, 55, 19, 51, 18, 50)(11, 43, 15, 47, 20, 52, 17, 49)(14, 46, 28, 60, 32, 64, 26, 58)(27, 59, 29, 61, 31, 63, 30, 62)(65, 97, 67, 99, 78, 110, 70, 102)(66, 98, 73, 105, 90, 122, 75, 107)(68, 100, 79, 111, 93, 125, 82, 114)(69, 101, 83, 115, 92, 124, 84, 116)(71, 103, 81, 113, 94, 126, 87, 119)(72, 104, 88, 120, 96, 128, 89, 121)(74, 106, 86, 118, 91, 123, 77, 109)(76, 108, 85, 117, 95, 127, 80, 112)
	L = (1, 68)(2, 74)(3, 79)(4, 72)(5, 76)(6, 82)(7, 65)(8, 71)(9, 86)(10, 69)(11, 77)(12, 66)(13, 84)(14, 93)(15, 88)(16, 75)(17, 67)(18, 89)(19, 85)(20, 80)(21, 73)(22, 83)(23, 70)(24, 81)(25, 87)(26, 91)(27, 92)(28, 95)(29, 96)(30, 78)(31, 90)(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, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E13.451
Graph:: simple bipartite
	v = 16 e = 64 f = 24
	degree seq :: [ 8^16 ]

E13.456 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 4, 4})
Quotient :: dipole
Aut^+ = C2 x (C4 : C4) (small group id <32, 23>)
Aut   = C2 x ((C4 x C2 x C2) : C2) (small group id <64, 203>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3 * Y2 * Y3 * Y2^-1, (R * Y3)^2, (R * Y1)^2, Y2^4, Y2^-1 * Y1 * Y2 * Y1, Y3 * Y1 * Y3^-1 * Y1, Y3^4, (R * Y2 * Y3^-1)^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, 18, 50)(13, 45, 19, 51)(14, 46, 20, 52)(15, 47, 21, 53)(16, 48, 22, 54)(23, 55, 27, 59)(24, 56, 28, 60)(25, 57, 29, 61)(26, 58, 30, 62)(31, 63, 32, 64)(65, 97, 67, 99, 75, 107, 69, 101)(66, 98, 71, 103, 81, 113, 73, 105)(68, 100, 77, 109, 87, 119, 79, 111)(70, 102, 76, 108, 88, 120, 80, 112)(72, 104, 83, 115, 91, 123, 85, 117)(74, 106, 82, 114, 92, 124, 86, 118)(78, 110, 89, 121, 95, 127, 90, 122)(84, 116, 93, 125, 96, 128, 94, 126)
	L = (1, 68)(2, 72)(3, 76)(4, 78)(5, 80)(6, 65)(7, 82)(8, 84)(9, 86)(10, 66)(11, 87)(12, 89)(13, 67)(14, 70)(15, 69)(16, 90)(17, 91)(18, 93)(19, 71)(20, 74)(21, 73)(22, 94)(23, 95)(24, 75)(25, 77)(26, 79)(27, 96)(28, 81)(29, 83)(30, 85)(31, 88)(32, 92)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 8^4 ), ( 8^8 ) }
Outer automorphisms :: reflexible
Dual of E13.457
Graph:: simple bipartite
	v = 24 e = 64 f = 16
	degree seq :: [ 4^16, 8^8 ]

E13.457 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 4, 4})
Quotient :: dipole
Aut^+ = C2 x (C4 : C4) (small group id <32, 23>)
Aut   = C2 x ((C4 x C2 x C2) : C2) (small group id <64, 203>)
|r| :: 2
Presentation :: [ R^2, Y3^2 * Y1^2, (Y3^-1, Y1^-1), (R * Y3)^2, (R * Y1)^2, Y3^4, R * Y2 * R * Y2^-1, Y2 * Y1 * Y2 * Y1^-1, Y1^4, Y2^4, Y3 * Y2^-1 * Y3^-1 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 8, 40, 5, 37)(3, 35, 11, 43, 20, 52, 15, 47)(4, 36, 10, 42, 7, 39, 12, 44)(6, 38, 9, 41, 21, 53, 18, 50)(13, 45, 22, 54, 30, 62, 28, 60)(14, 46, 25, 57, 16, 48, 26, 58)(17, 49, 23, 55, 19, 51, 24, 56)(27, 59, 31, 63, 29, 61, 32, 64)(65, 97, 67, 99, 77, 109, 70, 102)(66, 98, 73, 105, 86, 118, 75, 107)(68, 100, 81, 113, 91, 123, 78, 110)(69, 101, 82, 114, 92, 124, 79, 111)(71, 103, 83, 115, 93, 125, 80, 112)(72, 104, 84, 116, 94, 126, 85, 117)(74, 106, 89, 121, 95, 127, 87, 119)(76, 108, 90, 122, 96, 128, 88, 120)
	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, 91)(14, 84)(15, 90)(16, 67)(17, 85)(18, 88)(19, 70)(20, 80)(21, 83)(22, 95)(23, 82)(24, 73)(25, 79)(26, 75)(27, 94)(28, 96)(29, 77)(30, 93)(31, 92)(32, 86)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E13.456
Graph:: simple bipartite
	v = 16 e = 64 f = 24
	degree seq :: [ 8^16 ]

E13.458 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 4, 4})
Quotient :: dipole
Aut^+ = (C2 x Q8) : C2 (small group id <32, 29>)
Aut   = (C4 x C2 x C2 x C2) : C2 (small group id <64, 206>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^4, Y3 * Y2 * Y3^-1 * Y2, Y3^-1 * Y2 * Y3^-1 * Y2^-1, R * Y2 * R * Y2^-1, Y3^2 * Y2^2, (R * Y3)^2, (R * Y1)^2, Y2^-1 * Y3^2 * Y2^-1, Y2 * Y1 * Y2^-1 * Y1, Y3^-1 * Y1 * Y2^-2 * Y1 * Y3^-1, (Y3^-1 * Y1)^4 ]
Map:: non-degenerate
	R = (1, 33, 2, 34)(3, 35, 7, 39)(4, 36, 14, 46)(5, 37, 9, 41)(6, 38, 15, 47)(8, 40, 19, 51)(10, 42, 20, 52)(11, 43, 16, 48)(12, 44, 21, 53)(13, 45, 22, 54)(17, 49, 25, 57)(18, 50, 26, 58)(23, 55, 27, 59)(24, 56, 28, 60)(29, 61, 31, 63)(30, 62, 32, 64)(65, 97, 67, 99, 75, 107, 69, 101)(66, 98, 71, 103, 80, 112, 73, 105)(68, 100, 77, 109, 70, 102, 76, 108)(72, 104, 82, 114, 74, 106, 81, 113)(78, 110, 86, 118, 79, 111, 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, 72)(3, 76)(4, 75)(5, 77)(6, 65)(7, 81)(8, 80)(9, 82)(10, 66)(11, 70)(12, 69)(13, 67)(14, 87)(15, 88)(16, 74)(17, 73)(18, 71)(19, 91)(20, 92)(21, 93)(22, 94)(23, 79)(24, 78)(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) :: { ( 8^4 ), ( 8^8 ) }
Outer automorphisms :: reflexible
Dual of E13.464
Graph:: simple bipartite
	v = 24 e = 64 f = 16
	degree seq :: [ 4^16, 8^8 ]

E13.459 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 4, 4})
Quotient :: dipole
Aut^+ = (C4 x C4) : C2 (small group id <32, 31>)
Aut   = (C2 x C2 x D8) : C2 (small group id <64, 216>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (R * Y2)^2, (R * Y3)^2, (R * Y1)^2, (Y3, Y2^-1), Y3^4, (Y2^-1 * Y1)^2, Y2^4, Y3^2 * Y1 * Y3^-2 * Y1, Y2^-2 * Y3 * Y1 * Y3 * Y1, Y3^-1 * Y1 * Y2^-2 * Y3^-1 * Y1 ]
Map:: non-degenerate
	R = (1, 33, 2, 34)(3, 35, 9, 41)(4, 36, 14, 46)(5, 37, 7, 39)(6, 38, 18, 50)(8, 40, 22, 54)(10, 42, 26, 58)(11, 43, 19, 51)(12, 44, 21, 53)(13, 45, 20, 52)(15, 47, 23, 55)(16, 48, 25, 57)(17, 49, 24, 56)(27, 59, 32, 64)(28, 60, 31, 63)(29, 61, 30, 62)(65, 97, 67, 99, 75, 107, 69, 101)(66, 98, 71, 103, 83, 115, 73, 105)(68, 100, 76, 108, 90, 122, 80, 112)(70, 102, 77, 109, 86, 118, 81, 113)(72, 104, 84, 116, 82, 114, 88, 120)(74, 106, 85, 117, 78, 110, 89, 121)(79, 111, 91, 123, 95, 127, 93, 125)(87, 119, 94, 126, 92, 124, 96, 128)
	L = (1, 68)(2, 72)(3, 76)(4, 79)(5, 80)(6, 65)(7, 84)(8, 87)(9, 88)(10, 66)(11, 90)(12, 91)(13, 67)(14, 83)(15, 70)(16, 93)(17, 69)(18, 92)(19, 82)(20, 94)(21, 71)(22, 75)(23, 74)(24, 96)(25, 73)(26, 95)(27, 77)(28, 78)(29, 81)(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) :: { ( 8^4 ), ( 8^8 ) }
Outer automorphisms :: reflexible
Dual of E13.469
Graph:: simple bipartite
	v = 24 e = 64 f = 16
	degree seq :: [ 4^16, 8^8 ]

E13.460 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 4, 4})
Quotient :: dipole
Aut^+ = (C4 x C2 x C2) : C2 (small group id <32, 28>)
Aut   = (C2 x C2 x D8) : C2 (small group id <64, 216>)
|r| :: 2
Presentation :: [ Y1^2, Y3^2, R^2, (Y2 * Y1)^2, (R * Y1)^2, (R * Y3)^2, Y2^4, Y2 * Y3 * Y2 * Y1 * Y3 * Y1, (R * Y2 * Y3)^2, Y3 * Y1 * Y3 * Y1 * Y3 * Y2^-1 * Y3 * Y2^-1 ]
Map:: polytopal non-degenerate
	R = (1, 33, 2, 34)(3, 35, 8, 40)(4, 36, 11, 43)(5, 37, 6, 38)(7, 39, 17, 49)(9, 41, 15, 47)(10, 42, 18, 50)(12, 44, 16, 48)(13, 45, 20, 52)(14, 46, 19, 51)(21, 53, 27, 59)(22, 54, 26, 58)(23, 55, 28, 60)(24, 56, 30, 62)(25, 57, 29, 61)(31, 63, 32, 64)(65, 97, 67, 99, 73, 105, 69, 101)(66, 98, 70, 102, 79, 111, 72, 104)(68, 100, 76, 108, 85, 117, 77, 109)(71, 103, 82, 114, 90, 122, 83, 115)(74, 106, 81, 113, 78, 110, 86, 118)(75, 107, 84, 116, 91, 123, 80, 112)(87, 119, 94, 126, 96, 128, 93, 125)(88, 120, 92, 124, 89, 121, 95, 127)
	L = (1, 68)(2, 71)(3, 74)(4, 65)(5, 78)(6, 80)(7, 66)(8, 84)(9, 85)(10, 67)(11, 87)(12, 88)(13, 89)(14, 69)(15, 90)(16, 70)(17, 92)(18, 93)(19, 94)(20, 72)(21, 73)(22, 95)(23, 75)(24, 76)(25, 77)(26, 79)(27, 96)(28, 81)(29, 82)(30, 83)(31, 86)(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) :: { ( 8^4 ), ( 8^8 ) }
Outer automorphisms :: reflexible
Dual of E13.467
Graph:: simple bipartite
	v = 24 e = 64 f = 16
	degree seq :: [ 4^16, 8^8 ]

E13.461 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 4, 4})
Quotient :: dipole
Aut^+ = (C4 x C4) : C2 (small group id <32, 31>)
Aut   = (C2 x C2 x D8) : C2 (small group id <64, 216>)
|r| :: 2
Presentation :: [ Y1^2, Y3^2, R^2, (R * Y3)^2, (R * Y1)^2, Y2^4, (R * Y2 * Y3)^2, Y2^-1 * Y3 * Y1 * Y3 * Y2^-1 * Y1, Y3 * Y1 * Y2 * Y3 * Y2 * Y1, Y2 * Y1 * Y3 * Y2^-1 * Y3 * Y1, Y2 * Y3 * Y2^-1 * Y3 * Y2 * Y1 * Y2^-1 * Y1, (Y1 * Y2^-1)^4 ]
Map:: polytopal non-degenerate
	R = (1, 33, 2, 34)(3, 35, 9, 41)(4, 36, 12, 44)(5, 37, 15, 47)(6, 38, 17, 49)(7, 39, 20, 52)(8, 40, 23, 55)(10, 42, 18, 50)(11, 43, 24, 56)(13, 45, 22, 54)(14, 46, 21, 53)(16, 48, 19, 51)(25, 57, 29, 61)(26, 58, 30, 62)(27, 59, 32, 64)(28, 60, 31, 63)(65, 97, 67, 99, 74, 106, 69, 101)(66, 98, 70, 102, 82, 114, 72, 104)(68, 100, 77, 109, 91, 123, 78, 110)(71, 103, 85, 117, 95, 127, 86, 118)(73, 105, 89, 121, 79, 111, 90, 122)(75, 107, 84, 116, 80, 112, 92, 124)(76, 108, 88, 120, 96, 128, 83, 115)(81, 113, 93, 125, 87, 119, 94, 126)
	L = (1, 68)(2, 71)(3, 75)(4, 65)(5, 80)(6, 83)(7, 66)(8, 88)(9, 85)(10, 91)(11, 67)(12, 89)(13, 81)(14, 87)(15, 86)(16, 69)(17, 77)(18, 95)(19, 70)(20, 93)(21, 73)(22, 79)(23, 78)(24, 72)(25, 76)(26, 96)(27, 74)(28, 94)(29, 84)(30, 92)(31, 82)(32, 90)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 8^4 ), ( 8^8 ) }
Outer automorphisms :: reflexible
Dual of E13.465
Graph:: simple bipartite
	v = 24 e = 64 f = 16
	degree seq :: [ 4^16, 8^8 ]

E13.462 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 4, 4})
Quotient :: dipole
Aut^+ = (C4 x C4) : C2 (small group id <32, 24>)
Aut   = (C2 x C2 x D8) : C2 (small group id <64, 216>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y1 * Y3 * Y1 * Y3^-1, Y2^4, (Y2, Y3), (R * Y1)^2, (R * Y2)^2, (R * Y3)^2, Y3^4, Y2^-2 * Y1 * Y2^2 * Y1, Y2 * Y3^2 * Y1 * Y2^-1 * Y1 ]
Map:: polytopal 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, 19, 51)(9, 41, 25, 57)(12, 44, 20, 52)(13, 45, 22, 54)(14, 46, 21, 53)(15, 47, 23, 55)(16, 48, 26, 58)(18, 50, 24, 56)(27, 59, 30, 62)(28, 60, 31, 63)(29, 61, 32, 64)(65, 97, 67, 99, 76, 108, 69, 101)(66, 98, 71, 103, 84, 116, 73, 105)(68, 100, 77, 109, 92, 124, 80, 112)(70, 102, 78, 110, 93, 125, 82, 114)(72, 104, 85, 117, 95, 127, 88, 120)(74, 106, 86, 118, 96, 128, 90, 122)(75, 107, 91, 123, 81, 113, 87, 119)(79, 111, 83, 115, 94, 126, 89, 121)
	L = (1, 68)(2, 72)(3, 77)(4, 79)(5, 80)(6, 65)(7, 85)(8, 87)(9, 88)(10, 66)(11, 86)(12, 92)(13, 83)(14, 67)(15, 70)(16, 89)(17, 90)(18, 69)(19, 78)(20, 95)(21, 75)(22, 71)(23, 74)(24, 81)(25, 82)(26, 73)(27, 96)(28, 94)(29, 76)(30, 93)(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) :: { ( 8^4 ), ( 8^8 ) }
Outer automorphisms :: reflexible
Dual of E13.468
Graph:: simple bipartite
	v = 24 e = 64 f = 16
	degree seq :: [ 4^16, 8^8 ]

E13.463 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 4, 4})
Quotient :: dipole
Aut^+ = (C4 x C4) : C2 (small group id <32, 24>)
Aut   = (C2 x C2 x D8) : C2 (small group id <64, 216>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y2 * Y3^-1 * Y2^-1, Y3 * Y1 * Y3^-1 * Y1, (R * Y1)^2, (R * Y3)^2, Y2^4, Y3^4, (Y2^-2 * Y1)^2, Y3^-1 * Y2 * Y3 * Y1 * Y2^-1 * Y1, (R * Y2 * Y3^-1)^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, 19, 51)(9, 41, 25, 57)(12, 44, 20, 52)(13, 45, 22, 54)(14, 46, 21, 53)(15, 47, 23, 55)(16, 48, 26, 58)(18, 50, 24, 56)(27, 59, 30, 62)(28, 60, 31, 63)(29, 61, 32, 64)(65, 97, 67, 99, 76, 108, 69, 101)(66, 98, 71, 103, 84, 116, 73, 105)(68, 100, 78, 110, 92, 124, 80, 112)(70, 102, 77, 109, 93, 125, 82, 114)(72, 104, 86, 118, 95, 127, 88, 120)(74, 106, 85, 117, 96, 128, 90, 122)(75, 107, 91, 123, 81, 113, 87, 119)(79, 111, 83, 115, 94, 126, 89, 121)
	L = (1, 68)(2, 72)(3, 77)(4, 79)(5, 82)(6, 65)(7, 85)(8, 87)(9, 90)(10, 66)(11, 86)(12, 92)(13, 83)(14, 67)(15, 70)(16, 69)(17, 88)(18, 89)(19, 78)(20, 95)(21, 75)(22, 71)(23, 74)(24, 73)(25, 80)(26, 81)(27, 96)(28, 94)(29, 76)(30, 93)(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) :: { ( 8^4 ), ( 8^8 ) }
Outer automorphisms :: reflexible
Dual of E13.466
Graph:: simple bipartite
	v = 24 e = 64 f = 16
	degree seq :: [ 4^16, 8^8 ]

E13.464 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 4, 4})
Quotient :: dipole
Aut^+ = (C2 x Q8) : C2 (small group id <32, 29>)
Aut   = (C4 x C2 x C2 x C2) : C2 (small group id <64, 206>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y2^2 * Y3, Y2^4, Y3^4, Y3^-1 * Y2 * Y3^-1 * Y2^-1, (R * Y1)^2, (R * Y3)^2, (Y3^-1 * Y1^-1)^2, Y2 * Y3^-1 * Y2 * Y3, R * Y2 * R * Y2^-1, Y1^4, Y2 * Y1^-1 * Y2^-1 * Y1^-1, (Y3 * Y1^-1)^2 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 8, 40, 5, 37)(3, 35, 13, 45, 20, 52, 9, 41)(4, 36, 17, 49, 21, 53, 12, 44)(6, 38, 19, 51, 22, 54, 11, 43)(7, 39, 18, 50, 23, 55, 10, 42)(14, 46, 24, 56, 30, 62, 27, 59)(15, 47, 26, 58, 31, 63, 29, 61)(16, 48, 25, 57, 32, 64, 28, 60)(65, 97, 67, 99, 78, 110, 70, 102)(66, 98, 73, 105, 88, 120, 75, 107)(68, 100, 80, 112, 71, 103, 79, 111)(69, 101, 77, 109, 91, 123, 83, 115)(72, 104, 84, 116, 94, 126, 86, 118)(74, 106, 90, 122, 76, 108, 89, 121)(81, 113, 92, 124, 82, 114, 93, 125)(85, 117, 96, 128, 87, 119, 95, 127)
	L = (1, 68)(2, 74)(3, 79)(4, 78)(5, 82)(6, 80)(7, 65)(8, 85)(9, 89)(10, 88)(11, 90)(12, 66)(13, 92)(14, 71)(15, 70)(16, 67)(17, 69)(18, 91)(19, 93)(20, 95)(21, 94)(22, 96)(23, 72)(24, 76)(25, 75)(26, 73)(27, 81)(28, 83)(29, 77)(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) :: { ( 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E13.458
Graph:: simple bipartite
	v = 16 e = 64 f = 24
	degree seq :: [ 8^16 ]

E13.465 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 4, 4})
Quotient :: dipole
Aut^+ = (C4 x C4) : C2 (small group id <32, 31>)
Aut   = (C2 x C2 x D8) : C2 (small group id <64, 216>)
|r| :: 2
Presentation :: [ R^2, Y2^-2 * Y1^-2, Y1^-1 * Y2^2 * Y1^-1, (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, Y2 * Y1^-1 * Y2^-1 * Y1^-1, (Y3^-1 * Y1^-1)^2, Y2^4, Y1^4, (Y3^-1, Y2^-1), (Y3 * Y1^-1)^2, Y3^4 ]
Map:: polytopal non-degenerate
	R = (1, 33, 2, 34, 8, 40, 5, 37)(3, 35, 11, 43, 6, 38, 9, 41)(4, 36, 15, 47, 20, 52, 12, 44)(7, 39, 18, 50, 21, 53, 10, 42)(13, 45, 23, 55, 17, 49, 26, 58)(14, 46, 22, 54, 19, 51, 25, 57)(16, 48, 24, 56, 30, 62, 28, 60)(27, 59, 32, 64, 29, 61, 31, 63)(65, 97, 67, 99, 72, 104, 70, 102)(66, 98, 73, 105, 69, 101, 75, 107)(68, 100, 77, 109, 84, 116, 81, 113)(71, 103, 78, 110, 85, 117, 83, 115)(74, 106, 86, 118, 82, 114, 89, 121)(76, 108, 87, 119, 79, 111, 90, 122)(80, 112, 91, 123, 94, 126, 93, 125)(88, 120, 95, 127, 92, 124, 96, 128)
	L = (1, 68)(2, 74)(3, 77)(4, 80)(5, 82)(6, 81)(7, 65)(8, 84)(9, 86)(10, 88)(11, 89)(12, 66)(13, 91)(14, 67)(15, 69)(16, 71)(17, 93)(18, 92)(19, 70)(20, 94)(21, 72)(22, 95)(23, 73)(24, 76)(25, 96)(26, 75)(27, 78)(28, 79)(29, 83)(30, 85)(31, 87)(32, 90)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E13.461
Graph:: bipartite
	v = 16 e = 64 f = 24
	degree seq :: [ 8^16 ]

E13.466 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 4, 4})
Quotient :: dipole
Aut^+ = (C4 x C4) : C2 (small group id <32, 24>)
Aut   = (C2 x C2 x D8) : C2 (small group id <64, 216>)
|r| :: 2
Presentation :: [ R^2, (R * Y2)^2, (Y3^-1, Y2^-1), (R * Y3)^2, (R * Y1)^2, Y3^4, (Y2^-1, Y1), Y1^4, Y2^4, (Y3 * Y1^-1)^2, (Y3^-1 * Y1^-1)^2, Y3 * Y2^2 * Y3 * Y1^-2 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 8, 40, 5, 37)(3, 35, 9, 41, 23, 55, 15, 47)(4, 36, 17, 49, 24, 56, 12, 44)(6, 38, 11, 43, 25, 57, 21, 53)(7, 39, 20, 52, 26, 58, 10, 42)(13, 45, 27, 59, 18, 50, 30, 62)(14, 46, 31, 63, 22, 54, 29, 61)(16, 48, 32, 64, 19, 51, 28, 60)(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, 79, 111, 94, 126, 85, 117)(71, 103, 80, 112, 88, 120, 86, 118)(72, 104, 87, 119, 82, 114, 89, 121)(74, 106, 92, 124, 81, 113, 95, 127)(76, 108, 93, 125, 84, 116, 96, 128)
	L = (1, 68)(2, 74)(3, 78)(4, 82)(5, 84)(6, 83)(7, 65)(8, 88)(9, 92)(10, 94)(11, 95)(12, 66)(13, 90)(14, 89)(15, 96)(16, 67)(17, 69)(18, 71)(19, 87)(20, 91)(21, 93)(22, 70)(23, 86)(24, 77)(25, 80)(26, 72)(27, 81)(28, 85)(29, 73)(30, 76)(31, 79)(32, 75)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E13.463
Graph:: simple bipartite
	v = 16 e = 64 f = 24
	degree seq :: [ 8^16 ]

E13.467 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 4, 4})
Quotient :: dipole
Aut^+ = (C4 x C2 x C2) : C2 (small group id <32, 28>)
Aut   = (C2 x C2 x D8) : C2 (small group id <64, 216>)
|r| :: 2
Presentation :: [ R^2, Y1^4, Y2^4, (Y2^-1 * Y1^-1)^2, Y1 * Y2^2 * Y1, (R * Y1)^2, (R * Y3)^2, (Y2 * Y1^-1)^2, (Y3 * Y1^-1)^2, R * Y2 * R * Y2^-1, (Y3^-1 * Y1^-1)^2, Y3 * Y2^-1 * Y3^-1 * Y2^-1, Y3^4 ]
Map:: polytopal non-degenerate
	R = (1, 33, 2, 34, 8, 40, 5, 37)(3, 35, 9, 41, 6, 38, 11, 43)(4, 36, 15, 47, 20, 52, 12, 44)(7, 39, 18, 50, 21, 53, 10, 42)(13, 45, 26, 58, 16, 48, 23, 55)(14, 46, 24, 56, 19, 51, 22, 54)(17, 49, 25, 57, 30, 62, 28, 60)(27, 59, 31, 63, 29, 61, 32, 64)(65, 97, 67, 99, 72, 104, 70, 102)(66, 98, 73, 105, 69, 101, 75, 107)(68, 100, 80, 112, 84, 116, 77, 109)(71, 103, 83, 115, 85, 117, 78, 110)(74, 106, 88, 120, 82, 114, 86, 118)(76, 108, 90, 122, 79, 111, 87, 119)(81, 113, 91, 123, 94, 126, 93, 125)(89, 121, 95, 127, 92, 124, 96, 128)
	L = (1, 68)(2, 74)(3, 77)(4, 81)(5, 82)(6, 80)(7, 65)(8, 84)(9, 86)(10, 89)(11, 88)(12, 66)(13, 91)(14, 67)(15, 69)(16, 93)(17, 71)(18, 92)(19, 70)(20, 94)(21, 72)(22, 95)(23, 73)(24, 96)(25, 76)(26, 75)(27, 78)(28, 79)(29, 83)(30, 85)(31, 87)(32, 90)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E13.460
Graph:: bipartite
	v = 16 e = 64 f = 24
	degree seq :: [ 8^16 ]

E13.468 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 4, 4})
Quotient :: dipole
Aut^+ = (C4 x C4) : C2 (small group id <32, 24>)
Aut   = (C2 x C2 x D8) : C2 (small group id <64, 216>)
|r| :: 2
Presentation :: [ R^2, Y1^4, R * Y2 * R * Y2^-1, (R * Y3)^2, (R * Y1)^2, Y3 * Y2^-1 * Y3^-1 * Y2^-1, Y3^4, Y2^4, (Y3^-1 * Y1)^2, (Y3^-1 * Y1^-1)^2, Y2 * Y1 * Y2 * Y1^-1, Y3 * Y2^-1 * Y3 * Y2 * Y1^-2, Y1^-1 * Y2 * Y1^-2 * Y2^-1 * Y1^-1, Y1 * Y2^-1 * Y3^2 * Y2^-1 * Y1 ]
Map:: polytopal non-degenerate
	R = (1, 33, 2, 34, 8, 40, 5, 37)(3, 35, 11, 43, 23, 55, 15, 47)(4, 36, 17, 49, 24, 56, 12, 44)(6, 38, 9, 41, 25, 57, 20, 52)(7, 39, 21, 53, 26, 58, 10, 42)(13, 45, 27, 59, 19, 51, 31, 63)(14, 46, 28, 60, 22, 54, 32, 64)(16, 48, 29, 61, 18, 50, 30, 62)(65, 97, 67, 99, 77, 109, 70, 102)(66, 98, 73, 105, 91, 123, 75, 107)(68, 100, 82, 114, 90, 122, 78, 110)(69, 101, 84, 116, 95, 127, 79, 111)(71, 103, 86, 118, 88, 120, 80, 112)(72, 104, 87, 119, 83, 115, 89, 121)(74, 106, 94, 126, 81, 113, 92, 124)(76, 108, 96, 128, 85, 117, 93, 125)
	L = (1, 68)(2, 74)(3, 78)(4, 83)(5, 85)(6, 82)(7, 65)(8, 88)(9, 92)(10, 95)(11, 94)(12, 66)(13, 90)(14, 89)(15, 93)(16, 67)(17, 69)(18, 87)(19, 71)(20, 96)(21, 91)(22, 70)(23, 86)(24, 77)(25, 80)(26, 72)(27, 81)(28, 79)(29, 73)(30, 84)(31, 76)(32, 75)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E13.462
Graph:: simple bipartite
	v = 16 e = 64 f = 24
	degree seq :: [ 8^16 ]

E13.469 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 4, 4})
Quotient :: dipole
Aut^+ = (C4 x C4) : C2 (small group id <32, 31>)
Aut   = (C2 x C2 x D8) : C2 (small group id <64, 216>)
|r| :: 2
Presentation :: [ R^2, (R * Y2)^2, (Y3^-1, Y2^-1), (R * Y3)^2, (R * Y1)^2, (Y2 * Y1^-1)^2, (Y3 * Y1^-1)^2, Y1^4, Y2^4, (Y2^-1 * Y1^-1)^2, Y3^4, (Y3^-1 * Y1^-1)^2, Y2^-1 * Y3^-2 * Y2^-1 * Y1^-2, Y1^-1 * Y2^-2 * Y3^-2 * Y1^-1, Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1^-1, Y3^2 * Y1 * Y2^-2 * Y1 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 8, 40, 5, 37)(3, 35, 13, 45, 23, 55, 11, 43)(4, 36, 17, 49, 24, 56, 12, 44)(6, 38, 20, 52, 25, 57, 9, 41)(7, 39, 21, 53, 26, 58, 10, 42)(14, 46, 27, 59, 18, 50, 30, 62)(15, 47, 32, 64, 22, 54, 28, 60)(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, 84, 116, 94, 126, 77, 109)(71, 103, 80, 112, 88, 120, 86, 118)(72, 104, 87, 119, 82, 114, 89, 121)(74, 106, 92, 124, 81, 113, 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, 93)(14, 90)(15, 89)(16, 67)(17, 69)(18, 71)(19, 87)(20, 96)(21, 91)(22, 70)(23, 86)(24, 78)(25, 80)(26, 72)(27, 81)(28, 77)(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) :: { ( 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E13.459
Graph:: simple bipartite
	v = 16 e = 64 f = 24
	degree seq :: [ 8^16 ]

E13.470 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 4, 4})
Quotient :: dipole
Aut^+ = (C4 x C4) : C2 (small group id <32, 33>)
Aut   = (C4 x D8) : C2 (small group id <64, 219>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2 * Y3^-2 * Y2, Y2^4, (R * Y3)^2, (R * Y1)^2, Y3^-1 * Y2^-2 * Y3^-1, (R * Y2 * Y3^-1)^2, Y3^-2 * Y1 * Y2^-2 * Y1, Y3 * Y1 * Y3^-1 * Y2^-1 * Y1 * Y2^-1, Y2^-1 * Y1 * Y3^-1 * Y2^-1 * Y3 * Y1, Y2^-1 * Y3^-1 * Y2^-1 * Y1 * Y3^-1 * Y1, Y2 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y1, (Y3^-1 * Y2 * Y3 * Y2)^2 ]
Map:: polytopal non-degenerate
	R = (1, 33, 2, 34)(3, 35, 11, 43)(4, 36, 15, 47)(5, 37, 18, 50)(6, 38, 19, 51)(7, 39, 20, 52)(8, 40, 24, 56)(9, 41, 27, 59)(10, 42, 28, 60)(12, 44, 21, 53)(13, 45, 23, 55)(14, 46, 22, 54)(16, 48, 26, 58)(17, 49, 25, 57)(29, 61, 31, 63)(30, 62, 32, 64)(65, 97, 67, 99, 76, 108, 69, 101)(66, 98, 71, 103, 85, 117, 73, 105)(68, 100, 80, 112, 70, 102, 81, 113)(72, 104, 89, 121, 74, 106, 90, 122)(75, 107, 93, 125, 82, 114, 94, 126)(77, 109, 92, 124, 78, 110, 88, 120)(79, 111, 86, 118, 83, 115, 87, 119)(84, 116, 95, 127, 91, 123, 96, 128)
	L = (1, 68)(2, 72)(3, 77)(4, 76)(5, 78)(6, 65)(7, 86)(8, 85)(9, 87)(10, 66)(11, 90)(12, 70)(13, 69)(14, 67)(15, 94)(16, 84)(17, 91)(18, 89)(19, 93)(20, 81)(21, 74)(22, 73)(23, 71)(24, 96)(25, 75)(26, 82)(27, 80)(28, 95)(29, 79)(30, 83)(31, 88)(32, 92)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 8^4 ), ( 8^8 ) }
Outer automorphisms :: reflexible
Dual of E13.489
Graph:: simple bipartite
	v = 24 e = 64 f = 16
	degree seq :: [ 4^16, 8^8 ]

E13.471 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 4, 4})
Quotient :: dipole
Aut^+ = (C4 x C4) : C2 (small group id <32, 33>)
Aut   = (C4 x D8) : C2 (small group id <64, 219>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3 * Y2^-1 * Y3 * Y2, Y3^4, (R * Y3)^2, (R * Y1)^2, Y2^4, Y2^-1 * Y3^-1 * Y1 * Y2 * Y3 * Y1, (R * Y2 * Y3^-1)^2, Y2 * Y1 * Y3 * Y2 * Y3^-1 * Y1, Y3^-1 * Y1 * Y2^-1 * Y3^-1 * Y2^-1 * Y1, (Y2^-2 * Y1)^2, (Y3^-1 * Y2 * Y3 * Y2)^2 ]
Map:: non-degenerate
	R = (1, 33, 2, 34)(3, 35, 11, 43)(4, 36, 15, 47)(5, 37, 18, 50)(6, 38, 20, 52)(7, 39, 21, 53)(8, 40, 25, 57)(9, 41, 28, 60)(10, 42, 30, 62)(12, 44, 22, 54)(13, 45, 24, 56)(14, 46, 23, 55)(16, 48, 26, 58)(17, 49, 29, 61)(19, 51, 27, 59)(31, 63, 32, 64)(65, 97, 67, 99, 76, 108, 69, 101)(66, 98, 71, 103, 86, 118, 73, 105)(68, 100, 78, 110, 89, 121, 81, 113)(70, 102, 77, 109, 94, 126, 83, 115)(72, 104, 88, 120, 79, 111, 91, 123)(74, 106, 87, 119, 84, 116, 93, 125)(75, 107, 90, 122, 82, 114, 95, 127)(80, 112, 92, 124, 96, 128, 85, 117)
	L = (1, 68)(2, 72)(3, 77)(4, 80)(5, 83)(6, 65)(7, 87)(8, 90)(9, 93)(10, 66)(11, 91)(12, 89)(13, 92)(14, 67)(15, 95)(16, 70)(17, 69)(18, 88)(19, 85)(20, 86)(21, 81)(22, 79)(23, 82)(24, 71)(25, 96)(26, 74)(27, 73)(28, 78)(29, 75)(30, 76)(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) :: { ( 8^4 ), ( 8^8 ) }
Outer automorphisms :: reflexible
Dual of E13.488
Graph:: simple bipartite
	v = 24 e = 64 f = 16
	degree seq :: [ 4^16, 8^8 ]

E13.472 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 4, 4})
Quotient :: dipole
Aut^+ = C4 x D8 (small group id <32, 25>)
Aut   = D8 x D8 (small group id <64, 226>)
|r| :: 2
Presentation :: [ Y1^2, Y3^2, R^2, (Y2^-1 * R)^2, (R * Y1)^2, (R * Y3)^2, Y2^-1 * Y3 * Y2 * Y3, Y2^-1 * Y1 * Y2 * Y1, Y2^4, (Y3 * Y1)^4 ]
Map:: non-degenerate
	R = (1, 33, 2, 34)(3, 35, 6, 38)(4, 36, 11, 43)(5, 37, 8, 40)(7, 39, 15, 47)(9, 41, 13, 45)(10, 42, 18, 50)(12, 44, 20, 52)(14, 46, 22, 54)(16, 48, 24, 56)(17, 49, 25, 57)(19, 51, 23, 55)(21, 53, 28, 60)(26, 58, 29, 61)(27, 59, 30, 62)(31, 63, 32, 64)(65, 97, 67, 99, 73, 105, 69, 101)(66, 98, 70, 102, 77, 109, 72, 104)(68, 100, 74, 106, 81, 113, 76, 108)(71, 103, 78, 110, 85, 117, 80, 112)(75, 107, 82, 114, 89, 121, 84, 116)(79, 111, 86, 118, 92, 124, 88, 120)(83, 115, 90, 122, 95, 127, 91, 123)(87, 119, 93, 125, 96, 128, 94, 126)
	L = (1, 68)(2, 71)(3, 74)(4, 65)(5, 76)(6, 78)(7, 66)(8, 80)(9, 81)(10, 67)(11, 83)(12, 69)(13, 85)(14, 70)(15, 87)(16, 72)(17, 73)(18, 90)(19, 75)(20, 91)(21, 77)(22, 93)(23, 79)(24, 94)(25, 95)(26, 82)(27, 84)(28, 96)(29, 86)(30, 88)(31, 89)(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) :: { ( 8^4 ), ( 8^8 ) }
Outer automorphisms :: reflexible
Dual of E13.494
Graph:: simple bipartite
	v = 24 e = 64 f = 16
	degree seq :: [ 4^16, 8^8 ]

E13.473 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 4, 4})
Quotient :: dipole
Aut^+ = (C4 x C2 x C2) : C2 (small group id <32, 28>)
Aut   = D8 x D8 (small group id <64, 226>)
|r| :: 2
Presentation :: [ Y1^2, Y3^2, R^2, (Y2^-1 * R)^2, (R * Y1)^2, (R * Y3)^2, Y2^-1 * Y3 * Y2 * Y3, (Y2^-1 * Y1)^2, Y2^4, (Y3 * Y1)^4 ]
Map:: non-degenerate
	R = (1, 33, 2, 34)(3, 35, 8, 40)(4, 36, 11, 43)(5, 37, 6, 38)(7, 39, 15, 47)(9, 41, 13, 45)(10, 42, 18, 50)(12, 44, 19, 51)(14, 46, 22, 54)(16, 48, 23, 55)(17, 49, 25, 57)(20, 52, 24, 56)(21, 53, 28, 60)(26, 58, 30, 62)(27, 59, 29, 61)(31, 63, 32, 64)(65, 97, 67, 99, 73, 105, 69, 101)(66, 98, 70, 102, 77, 109, 72, 104)(68, 100, 74, 106, 81, 113, 76, 108)(71, 103, 78, 110, 85, 117, 80, 112)(75, 107, 83, 115, 89, 121, 82, 114)(79, 111, 87, 119, 92, 124, 86, 118)(84, 116, 91, 123, 95, 127, 90, 122)(88, 120, 94, 126, 96, 128, 93, 125)
	L = (1, 68)(2, 71)(3, 74)(4, 65)(5, 76)(6, 78)(7, 66)(8, 80)(9, 81)(10, 67)(11, 84)(12, 69)(13, 85)(14, 70)(15, 88)(16, 72)(17, 73)(18, 90)(19, 91)(20, 75)(21, 77)(22, 93)(23, 94)(24, 79)(25, 95)(26, 82)(27, 83)(28, 96)(29, 86)(30, 87)(31, 89)(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) :: { ( 8^4 ), ( 8^8 ) }
Outer automorphisms :: reflexible
Dual of E13.495
Graph:: simple bipartite
	v = 24 e = 64 f = 16
	degree seq :: [ 4^16, 8^8 ]

E13.474 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 4, 4})
Quotient :: dipole
Aut^+ = C4 x D8 (small group id <32, 25>)
Aut   = D8 x D8 (small group id <64, 226>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (R * Y2)^2, (R * Y3)^2, (R * Y1)^2, (Y3^-1, Y2^-1), (Y2^-1 * Y1)^2, Y3 * Y1 * Y3^-1 * Y1, Y2^4, Y3^4 ]
Map:: polytopal non-degenerate
	R = (1, 33, 2, 34)(3, 35, 9, 41)(4, 36, 8, 40)(5, 37, 7, 39)(6, 38, 10, 42)(11, 43, 17, 49)(12, 44, 21, 53)(13, 45, 22, 54)(14, 46, 20, 52)(15, 47, 18, 50)(16, 48, 19, 51)(23, 55, 27, 59)(24, 56, 28, 60)(25, 57, 30, 62)(26, 58, 29, 61)(31, 63, 32, 64)(65, 97, 67, 99, 75, 107, 69, 101)(66, 98, 71, 103, 81, 113, 73, 105)(68, 100, 76, 108, 87, 119, 79, 111)(70, 102, 77, 109, 88, 120, 80, 112)(72, 104, 82, 114, 91, 123, 85, 117)(74, 106, 83, 115, 92, 124, 86, 118)(78, 110, 89, 121, 95, 127, 90, 122)(84, 116, 93, 125, 96, 128, 94, 126)
	L = (1, 68)(2, 72)(3, 76)(4, 78)(5, 79)(6, 65)(7, 82)(8, 84)(9, 85)(10, 66)(11, 87)(12, 89)(13, 67)(14, 70)(15, 90)(16, 69)(17, 91)(18, 93)(19, 71)(20, 74)(21, 94)(22, 73)(23, 95)(24, 75)(25, 77)(26, 80)(27, 96)(28, 81)(29, 83)(30, 86)(31, 88)(32, 92)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 8^4 ), ( 8^8 ) }
Outer automorphisms :: reflexible
Dual of E13.497
Graph:: simple bipartite
	v = 24 e = 64 f = 16
	degree seq :: [ 4^16, 8^8 ]

E13.475 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 4, 4})
Quotient :: dipole
Aut^+ = C4 x D8 (small group id <32, 25>)
Aut   = D8 x D8 (small group id <64, 226>)
|r| :: 2
Presentation :: [ Y1^2, R^2, R * Y2 * R * Y2^-1, (R * Y3)^2, (R * Y1)^2, Y3 * Y2^-1 * Y3^-1 * Y2^-1, (Y2^-1 * Y1)^2, Y3 * Y1 * Y3^-1 * Y1, Y2^4, Y3^4 ]
Map:: polytopal non-degenerate
	R = (1, 33, 2, 34)(3, 35, 9, 41)(4, 36, 8, 40)(5, 37, 7, 39)(6, 38, 10, 42)(11, 43, 17, 49)(12, 44, 20, 52)(13, 45, 22, 54)(14, 46, 18, 50)(15, 47, 21, 53)(16, 48, 19, 51)(23, 55, 27, 59)(24, 56, 28, 60)(25, 57, 30, 62)(26, 58, 29, 61)(31, 63, 32, 64)(65, 97, 67, 99, 75, 107, 69, 101)(66, 98, 71, 103, 81, 113, 73, 105)(68, 100, 78, 110, 87, 119, 76, 108)(70, 102, 80, 112, 88, 120, 77, 109)(72, 104, 84, 116, 91, 123, 82, 114)(74, 106, 86, 118, 92, 124, 83, 115)(79, 111, 89, 121, 95, 127, 90, 122)(85, 117, 93, 125, 96, 128, 94, 126)
	L = (1, 68)(2, 72)(3, 76)(4, 79)(5, 78)(6, 65)(7, 82)(8, 85)(9, 84)(10, 66)(11, 87)(12, 89)(13, 67)(14, 90)(15, 70)(16, 69)(17, 91)(18, 93)(19, 71)(20, 94)(21, 74)(22, 73)(23, 95)(24, 75)(25, 77)(26, 80)(27, 96)(28, 81)(29, 83)(30, 86)(31, 88)(32, 92)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 8^4 ), ( 8^8 ) }
Outer automorphisms :: reflexible
Dual of E13.493
Graph:: simple bipartite
	v = 24 e = 64 f = 16
	degree seq :: [ 4^16, 8^8 ]

E13.476 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 4, 4})
Quotient :: dipole
Aut^+ = C4 x D8 (small group id <32, 25>)
Aut   = D8 x D8 (small group id <64, 226>)
|r| :: 2
Presentation :: [ Y1^2, Y3^2, R^2, Y3 * Y2 * Y3 * Y2^-1, (R * Y1)^2, (Y2^-1 * R)^2, (R * Y3)^2, Y2^4, (Y2^-1 * Y1 * Y2^-1)^2, Y3 * Y1 * Y2 * Y3 * Y1 * Y2^-1, (Y2^-1 * Y1)^4, (Y3 * Y1)^4 ]
Map:: non-degenerate
	R = (1, 33, 2, 34)(3, 35, 9, 41)(4, 36, 12, 44)(5, 37, 14, 46)(6, 38, 15, 47)(7, 39, 18, 50)(8, 40, 20, 52)(10, 42, 16, 48)(11, 43, 17, 49)(13, 45, 19, 51)(21, 53, 26, 58)(22, 54, 27, 59)(23, 55, 28, 60)(24, 56, 31, 63)(25, 57, 30, 62)(29, 61, 32, 64)(65, 97, 67, 99, 74, 106, 69, 101)(66, 98, 70, 102, 80, 112, 72, 104)(68, 100, 75, 107, 88, 120, 77, 109)(71, 103, 81, 113, 93, 125, 83, 115)(73, 105, 85, 117, 78, 110, 87, 119)(76, 108, 86, 118, 95, 127, 89, 121)(79, 111, 90, 122, 84, 116, 92, 124)(82, 114, 91, 123, 96, 128, 94, 126)
	L = (1, 68)(2, 71)(3, 75)(4, 65)(5, 77)(6, 81)(7, 66)(8, 83)(9, 86)(10, 88)(11, 67)(12, 87)(13, 69)(14, 89)(15, 91)(16, 93)(17, 70)(18, 92)(19, 72)(20, 94)(21, 95)(22, 73)(23, 76)(24, 74)(25, 78)(26, 96)(27, 79)(28, 82)(29, 80)(30, 84)(31, 85)(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) :: { ( 8^4 ), ( 8^8 ) }
Outer automorphisms :: reflexible
Dual of E13.490
Graph:: simple bipartite
	v = 24 e = 64 f = 16
	degree seq :: [ 4^16, 8^8 ]

E13.477 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 4, 4})
Quotient :: dipole
Aut^+ = (C4 x C2 x C2) : C2 (small group id <32, 28>)
Aut   = D8 x D8 (small group id <64, 226>)
|r| :: 2
Presentation :: [ Y1^2, Y3^2, R^2, Y3 * Y2 * Y3 * Y2^-1, (R * Y3)^2, (R * Y1)^2, (Y2^-1 * R)^2, Y2^4, Y3 * Y1 * Y3 * Y2^-1 * Y1 * Y2^-1, (Y2 * Y1)^4, (Y2 * Y1 * Y2^-1 * Y1)^2 ]
Map:: non-degenerate
	R = (1, 33, 2, 34)(3, 35, 9, 41)(4, 36, 12, 44)(5, 37, 14, 46)(6, 38, 15, 47)(7, 39, 18, 50)(8, 40, 20, 52)(10, 42, 16, 48)(11, 43, 19, 51)(13, 45, 17, 49)(21, 53, 26, 58)(22, 54, 30, 62)(23, 55, 28, 60)(24, 56, 31, 63)(25, 57, 27, 59)(29, 61, 32, 64)(65, 97, 67, 99, 74, 106, 69, 101)(66, 98, 70, 102, 80, 112, 72, 104)(68, 100, 75, 107, 88, 120, 77, 109)(71, 103, 81, 113, 93, 125, 83, 115)(73, 105, 85, 117, 78, 110, 87, 119)(76, 108, 89, 121, 95, 127, 86, 118)(79, 111, 90, 122, 84, 116, 92, 124)(82, 114, 94, 126, 96, 128, 91, 123)
	L = (1, 68)(2, 71)(3, 75)(4, 65)(5, 77)(6, 81)(7, 66)(8, 83)(9, 86)(10, 88)(11, 67)(12, 85)(13, 69)(14, 89)(15, 91)(16, 93)(17, 70)(18, 90)(19, 72)(20, 94)(21, 76)(22, 73)(23, 95)(24, 74)(25, 78)(26, 82)(27, 79)(28, 96)(29, 80)(30, 84)(31, 87)(32, 92)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 8^4 ), ( 8^8 ) }
Outer automorphisms :: reflexible
Dual of E13.491
Graph:: simple bipartite
	v = 24 e = 64 f = 16
	degree seq :: [ 4^16, 8^8 ]

E13.478 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 4, 4})
Quotient :: dipole
Aut^+ = (C4 x C2 x C2) : C2 (small group id <32, 28>)
Aut   = D8 x D8 (small group id <64, 226>)
|r| :: 2
Presentation :: [ Y1^2, Y3^2, R^2, Y2^4, (R * Y1)^2, (R * Y3)^2, (Y1 * Y2^-1)^2, (Y2^-1 * Y3 * Y2^-1)^2, (R * Y2 * Y3)^2, Y3 * Y1 * Y3 * Y2^-2 * Y1, (Y3 * Y2)^4, Y2 * R * Y1 * Y2^-2 * R * Y2^-1 * Y1 ]
Map:: non-degenerate
	R = (1, 33, 2, 34)(3, 35, 8, 40)(4, 36, 11, 43)(5, 37, 6, 38)(7, 39, 17, 49)(9, 41, 15, 47)(10, 42, 16, 48)(12, 44, 18, 50)(13, 45, 19, 51)(14, 46, 20, 52)(21, 53, 26, 58)(22, 54, 25, 57)(23, 55, 28, 60)(24, 56, 27, 59)(29, 61, 31, 63)(30, 62, 32, 64)(65, 97, 67, 99, 73, 105, 69, 101)(66, 98, 70, 102, 79, 111, 72, 104)(68, 100, 76, 108, 81, 113, 77, 109)(71, 103, 82, 114, 75, 107, 83, 115)(74, 106, 85, 117, 78, 110, 86, 118)(80, 112, 89, 121, 84, 116, 90, 122)(87, 119, 93, 125, 88, 120, 94, 126)(91, 123, 95, 127, 92, 124, 96, 128)
	L = (1, 68)(2, 71)(3, 74)(4, 65)(5, 78)(6, 80)(7, 66)(8, 84)(9, 81)(10, 67)(11, 79)(12, 87)(13, 88)(14, 69)(15, 75)(16, 70)(17, 73)(18, 91)(19, 92)(20, 72)(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) :: { ( 8^4 ), ( 8^8 ) }
Outer automorphisms :: reflexible
Dual of E13.496
Graph:: simple bipartite
	v = 24 e = 64 f = 16
	degree seq :: [ 4^16, 8^8 ]

E13.479 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 4, 4})
Quotient :: dipole
Aut^+ = C4 x D8 (small group id <32, 25>)
Aut   = D8 x D8 (small group id <64, 226>)
|r| :: 2
Presentation :: [ Y1^2, Y3^2, R^2, Y2^4, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3)^2, Y3 * Y1 * Y2 * Y3 * Y2^-1 * Y1, Y2 * Y1 * Y3 * Y2^-1 * Y3 * Y1, Y2 * Y3 * Y1 * Y3 * Y2^-1 * Y1, Y2^-1 * Y3 * Y1 * Y3 * Y2 * Y1, Y2^-1 * Y1 * Y2^2 * Y1 * Y2^-1, (Y3 * Y2^-2)^2 ]
Map:: polytopal non-degenerate
	R = (1, 33, 2, 34)(3, 35, 9, 41)(4, 36, 12, 44)(5, 37, 15, 47)(6, 38, 17, 49)(7, 39, 20, 52)(8, 40, 23, 55)(10, 42, 18, 50)(11, 43, 19, 51)(13, 45, 21, 53)(14, 46, 22, 54)(16, 48, 24, 56)(25, 57, 29, 61)(26, 58, 30, 62)(27, 59, 32, 64)(28, 60, 31, 63)(65, 97, 67, 99, 74, 106, 69, 101)(66, 98, 70, 102, 82, 114, 72, 104)(68, 100, 77, 109, 91, 123, 78, 110)(71, 103, 85, 117, 95, 127, 86, 118)(73, 105, 89, 121, 79, 111, 90, 122)(75, 107, 92, 124, 80, 112, 84, 116)(76, 108, 83, 115, 96, 128, 88, 120)(81, 113, 93, 125, 87, 119, 94, 126)
	L = (1, 68)(2, 71)(3, 75)(4, 65)(5, 80)(6, 83)(7, 66)(8, 88)(9, 85)(10, 91)(11, 67)(12, 90)(13, 81)(14, 87)(15, 86)(16, 69)(17, 77)(18, 95)(19, 70)(20, 94)(21, 73)(22, 79)(23, 78)(24, 72)(25, 96)(26, 76)(27, 74)(28, 93)(29, 92)(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) :: { ( 8^4 ), ( 8^8 ) }
Outer automorphisms :: reflexible
Dual of E13.492
Graph:: simple bipartite
	v = 24 e = 64 f = 16
	degree seq :: [ 4^16, 8^8 ]

E13.480 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 4, 4})
Quotient :: dipole
Aut^+ = (C4 x C2 x C2) : C2 (small group id <32, 30>)
Aut   = (C2 x C2 x D8) : C2 (small group id <64, 227>)
|r| :: 2
Presentation :: [ Y1^2, Y3^2, R^2, Y2^4, Y2^-1 * Y1 * Y2 * Y1, (R * Y3)^2, (R * Y1)^2, (Y2^-1 * Y3 * Y2^-1)^2, Y2^2 * Y3 * Y1 * Y3 * Y1, (R * Y2 * Y3)^2, (Y3 * Y2)^4 ]
Map:: non-degenerate
	R = (1, 33, 2, 34)(3, 35, 6, 38)(4, 36, 11, 43)(5, 37, 8, 40)(7, 39, 17, 49)(9, 41, 15, 47)(10, 42, 20, 52)(12, 44, 19, 51)(13, 45, 18, 50)(14, 46, 16, 48)(21, 53, 26, 58)(22, 54, 25, 57)(23, 55, 27, 59)(24, 56, 28, 60)(29, 61, 31, 63)(30, 62, 32, 64)(65, 97, 67, 99, 73, 105, 69, 101)(66, 98, 70, 102, 79, 111, 72, 104)(68, 100, 76, 108, 81, 113, 77, 109)(71, 103, 82, 114, 75, 107, 83, 115)(74, 106, 85, 117, 78, 110, 86, 118)(80, 112, 89, 121, 84, 116, 90, 122)(87, 119, 93, 125, 88, 120, 94, 126)(91, 123, 95, 127, 92, 124, 96, 128)
	L = (1, 68)(2, 71)(3, 74)(4, 65)(5, 78)(6, 80)(7, 66)(8, 84)(9, 81)(10, 67)(11, 79)(12, 87)(13, 88)(14, 69)(15, 75)(16, 70)(17, 73)(18, 91)(19, 92)(20, 72)(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) :: { ( 8^4 ), ( 8^8 ) }
Outer automorphisms :: reflexible
Dual of E13.505
Graph:: simple bipartite
	v = 24 e = 64 f = 16
	degree seq :: [ 4^16, 8^8 ]

E13.481 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 4, 4})
Quotient :: dipole
Aut^+ = (C4 x C4) : C2 (small group id <32, 31>)
Aut   = (C2 x C2 x D8) : C2 (small group id <64, 227>)
|r| :: 2
Presentation :: [ Y1^2, Y3^2, R^2, Y2^4, (R * Y3)^2, (R * Y1)^2, Y3 * Y1 * Y2^-2 * Y3 * Y1, (Y2^-2 * Y1)^2, (Y2^-1 * Y3 * Y2^-1)^2, Y2 * Y1 * Y3 * Y2 * Y3 * Y1, (R * Y2 * Y3)^2, (Y2^-1 * Y1)^4, Y2^-1 * Y3 * Y2^-1 * Y1 * Y2 * Y3 * Y2^-1 * Y1 ]
Map:: non-degenerate
	R = (1, 33, 2, 34)(3, 35, 9, 41)(4, 36, 12, 44)(5, 37, 15, 47)(6, 38, 17, 49)(7, 39, 20, 52)(8, 40, 23, 55)(10, 42, 18, 50)(11, 43, 21, 53)(13, 45, 19, 51)(14, 46, 24, 56)(16, 48, 22, 54)(25, 57, 29, 61)(26, 58, 30, 62)(27, 59, 32, 64)(28, 60, 31, 63)(65, 97, 67, 99, 74, 106, 69, 101)(66, 98, 70, 102, 82, 114, 72, 104)(68, 100, 77, 109, 84, 116, 78, 110)(71, 103, 85, 117, 76, 108, 86, 118)(73, 105, 89, 121, 79, 111, 90, 122)(75, 107, 91, 123, 80, 112, 92, 124)(81, 113, 93, 125, 87, 119, 94, 126)(83, 115, 95, 127, 88, 120, 96, 128)
	L = (1, 68)(2, 71)(3, 75)(4, 65)(5, 80)(6, 83)(7, 66)(8, 88)(9, 86)(10, 84)(11, 67)(12, 82)(13, 87)(14, 81)(15, 85)(16, 69)(17, 78)(18, 76)(19, 70)(20, 74)(21, 79)(22, 73)(23, 77)(24, 72)(25, 96)(26, 95)(27, 94)(28, 93)(29, 92)(30, 91)(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) :: { ( 8^4 ), ( 8^8 ) }
Outer automorphisms :: reflexible
Dual of E13.499
Graph:: simple bipartite
	v = 24 e = 64 f = 16
	degree seq :: [ 4^16, 8^8 ]

E13.482 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 4, 4})
Quotient :: dipole
Aut^+ = (C2 x Q8) : C2 (small group id <32, 29>)
Aut   = (C2 x C2 x D8) : C2 (small group id <64, 227>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^-1 * Y3^2 * Y2^-1, Y3 * Y2 * Y3 * Y2^-1, Y2^-2 * Y3^-2, Y3 * Y2^-1 * Y3^-1 * Y2^-1, R * Y2 * R * Y2^-1, (R * Y1)^2, Y3 * Y1 * Y3^-1 * Y1, (R * Y3)^2, Y3^2 * Y1 * Y2^-2 * Y1, Y2 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 ]
Map:: non-degenerate
	R = (1, 33, 2, 34)(3, 35, 11, 43)(4, 36, 8, 40)(5, 37, 15, 47)(6, 38, 10, 42)(7, 39, 16, 48)(9, 41, 20, 52)(12, 44, 17, 49)(13, 45, 22, 54)(14, 46, 24, 56)(18, 50, 26, 58)(19, 51, 28, 60)(21, 53, 25, 57)(23, 55, 27, 59)(29, 61, 31, 63)(30, 62, 32, 64)(65, 97, 67, 99, 76, 108, 69, 101)(66, 98, 71, 103, 81, 113, 73, 105)(68, 100, 78, 110, 70, 102, 77, 109)(72, 104, 83, 115, 74, 106, 82, 114)(75, 107, 85, 117, 79, 111, 87, 119)(80, 112, 89, 121, 84, 116, 91, 123)(86, 118, 94, 126, 88, 120, 93, 125)(90, 122, 96, 128, 92, 124, 95, 127)
	L = (1, 68)(2, 72)(3, 77)(4, 76)(5, 78)(6, 65)(7, 82)(8, 81)(9, 83)(10, 66)(11, 86)(12, 70)(13, 69)(14, 67)(15, 88)(16, 90)(17, 74)(18, 73)(19, 71)(20, 92)(21, 93)(22, 79)(23, 94)(24, 75)(25, 95)(26, 84)(27, 96)(28, 80)(29, 87)(30, 85)(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) :: { ( 8^4 ), ( 8^8 ) }
Outer automorphisms :: reflexible
Dual of E13.502
Graph:: simple bipartite
	v = 24 e = 64 f = 16
	degree seq :: [ 4^16, 8^8 ]

E13.483 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 4, 4})
Quotient :: dipole
Aut^+ = (C2 x Q8) : C2 (small group id <32, 29>)
Aut   = (C2 x C2 x D8) : C2 (small group id <64, 227>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y2^2 * Y3^-1, Y2^4, Y3^4, Y2^-1 * Y3^-1 * Y2 * Y3^-1, R * Y2 * R * Y2^-1, (R * Y3)^2, (R * Y1)^2, Y3^-1 * Y2 * Y1 * Y3^-1 * Y2^-1 * Y1, Y2^-1 * Y1 * Y3^-2 * Y1 * Y2^-1, (Y3^-1 * Y1)^4 ]
Map:: non-degenerate
	R = (1, 33, 2, 34)(3, 35, 11, 43)(4, 36, 15, 47)(5, 37, 16, 48)(6, 38, 17, 49)(7, 39, 18, 50)(8, 40, 22, 54)(9, 41, 23, 55)(10, 42, 24, 56)(12, 44, 19, 51)(13, 45, 20, 52)(14, 46, 21, 53)(25, 57, 29, 61)(26, 58, 30, 62)(27, 59, 31, 63)(28, 60, 32, 64)(65, 97, 67, 99, 76, 108, 69, 101)(66, 98, 71, 103, 83, 115, 73, 105)(68, 100, 78, 110, 70, 102, 77, 109)(72, 104, 85, 117, 74, 106, 84, 116)(75, 107, 89, 121, 80, 112, 91, 123)(79, 111, 92, 124, 81, 113, 90, 122)(82, 114, 93, 125, 87, 119, 95, 127)(86, 118, 96, 128, 88, 120, 94, 126)
	L = (1, 68)(2, 72)(3, 77)(4, 76)(5, 78)(6, 65)(7, 84)(8, 83)(9, 85)(10, 66)(11, 90)(12, 70)(13, 69)(14, 67)(15, 89)(16, 92)(17, 91)(18, 94)(19, 74)(20, 73)(21, 71)(22, 93)(23, 96)(24, 95)(25, 81)(26, 80)(27, 79)(28, 75)(29, 88)(30, 87)(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) :: { ( 8^4 ), ( 8^8 ) }
Outer automorphisms :: reflexible
Dual of E13.498
Graph:: simple bipartite
	v = 24 e = 64 f = 16
	degree seq :: [ 4^16, 8^8 ]

E13.484 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 4, 4})
Quotient :: dipole
Aut^+ = C4 x D8 (small group id <32, 25>)
Aut   = (C2 x C2 x D8) : C2 (small group id <64, 227>)
|r| :: 2
Presentation :: [ Y1^2, Y3^2, R^2, Y2^-1 * Y1 * Y2 * Y1, Y2^4, (R * Y3)^2, (R * Y1)^2, Y2 * Y3 * Y2^-1 * Y1 * Y3 * Y1, (R * Y2 * Y3)^2, (Y3 * Y2^-2)^2, (Y3 * Y2 * Y3 * Y2^-1)^2, (Y3 * Y2)^4 ]
Map:: polytopal non-degenerate
	R = (1, 33, 2, 34)(3, 35, 6, 38)(4, 36, 11, 43)(5, 37, 8, 40)(7, 39, 17, 49)(9, 41, 15, 47)(10, 42, 18, 50)(12, 44, 16, 48)(13, 45, 20, 52)(14, 46, 19, 51)(21, 53, 27, 59)(22, 54, 26, 58)(23, 55, 28, 60)(24, 56, 29, 61)(25, 57, 30, 62)(31, 63, 32, 64)(65, 97, 67, 99, 73, 105, 69, 101)(66, 98, 70, 102, 79, 111, 72, 104)(68, 100, 76, 108, 85, 117, 77, 109)(71, 103, 82, 114, 90, 122, 83, 115)(74, 106, 86, 118, 78, 110, 81, 113)(75, 107, 80, 112, 91, 123, 84, 116)(87, 119, 93, 125, 96, 128, 94, 126)(88, 120, 95, 127, 89, 121, 92, 124)
	L = (1, 68)(2, 71)(3, 74)(4, 65)(5, 78)(6, 80)(7, 66)(8, 84)(9, 85)(10, 67)(11, 87)(12, 88)(13, 89)(14, 69)(15, 90)(16, 70)(17, 92)(18, 93)(19, 94)(20, 72)(21, 73)(22, 95)(23, 75)(24, 76)(25, 77)(26, 79)(27, 96)(28, 81)(29, 82)(30, 83)(31, 86)(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) :: { ( 8^4 ), ( 8^8 ) }
Outer automorphisms :: reflexible
Dual of E13.501
Graph:: simple bipartite
	v = 24 e = 64 f = 16
	degree seq :: [ 4^16, 8^8 ]

E13.485 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 4, 4})
Quotient :: dipole
Aut^+ = (C4 x C2 x C2) : C2 (small group id <32, 30>)
Aut   = (C2 x C2 x D8) : C2 (small group id <64, 227>)
|r| :: 2
Presentation :: [ Y1^2, Y3^2, R^2, (R * Y3)^2, (R * Y1)^2, Y2^4, (R * Y2 * Y3)^2, Y2 * Y3 * Y1 * Y3 * Y2 * Y1, Y2 * Y1 * Y3 * Y2 * Y3 * Y1, (Y3 * Y2^-2)^2, Y3 * Y1 * Y2^-1 * Y3 * Y2 * Y1, (Y2^-1 * Y1)^4, Y1 * Y2 * Y1 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 ]
Map:: polytopal non-degenerate
	R = (1, 33, 2, 34)(3, 35, 9, 41)(4, 36, 12, 44)(5, 37, 15, 47)(6, 38, 17, 49)(7, 39, 20, 52)(8, 40, 23, 55)(10, 42, 18, 50)(11, 43, 24, 56)(13, 45, 22, 54)(14, 46, 21, 53)(16, 48, 19, 51)(25, 57, 29, 61)(26, 58, 30, 62)(27, 59, 32, 64)(28, 60, 31, 63)(65, 97, 67, 99, 74, 106, 69, 101)(66, 98, 70, 102, 82, 114, 72, 104)(68, 100, 77, 109, 91, 123, 78, 110)(71, 103, 85, 117, 95, 127, 86, 118)(73, 105, 89, 121, 79, 111, 90, 122)(75, 107, 92, 124, 80, 112, 84, 116)(76, 108, 83, 115, 96, 128, 88, 120)(81, 113, 93, 125, 87, 119, 94, 126)
	L = (1, 68)(2, 71)(3, 75)(4, 65)(5, 80)(6, 83)(7, 66)(8, 88)(9, 86)(10, 91)(11, 67)(12, 89)(13, 87)(14, 81)(15, 85)(16, 69)(17, 78)(18, 95)(19, 70)(20, 93)(21, 79)(22, 73)(23, 77)(24, 72)(25, 76)(26, 96)(27, 74)(28, 94)(29, 84)(30, 92)(31, 82)(32, 90)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 8^4 ), ( 8^8 ) }
Outer automorphisms :: reflexible
Dual of E13.504
Graph:: simple bipartite
	v = 24 e = 64 f = 16
	degree seq :: [ 4^16, 8^8 ]

E13.486 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 4, 4})
Quotient :: dipole
Aut^+ = (C2 x Q8) : C2 (small group id <32, 29>)
Aut   = (C2 x C2 x D8) : C2 (small group id <64, 227>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1 * Y3 * Y1, Y3^-1 * Y2^-1 * Y3^-1 * Y2, (R * Y3)^2, Y3^4, (R * Y1)^2, Y2^4, (R * Y2 * Y3^-1)^2, Y2^-1 * Y3^-1 * Y1 * Y3^-1 * Y2^-1 * Y1, Y2^-1 * Y3 * Y1 * Y3 * Y2^-1 * Y1, (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, 19, 51)(9, 41, 25, 57)(12, 44, 20, 52)(13, 45, 24, 56)(14, 46, 26, 58)(15, 47, 23, 55)(16, 48, 21, 53)(18, 50, 22, 54)(27, 59, 30, 62)(28, 60, 31, 63)(29, 61, 32, 64)(65, 97, 67, 99, 76, 108, 69, 101)(66, 98, 71, 103, 84, 116, 73, 105)(68, 100, 78, 110, 92, 124, 80, 112)(70, 102, 77, 109, 93, 125, 82, 114)(72, 104, 86, 118, 95, 127, 88, 120)(74, 106, 85, 117, 96, 128, 90, 122)(75, 107, 87, 119, 81, 113, 91, 123)(79, 111, 89, 121, 94, 126, 83, 115)
	L = (1, 68)(2, 72)(3, 77)(4, 79)(5, 82)(6, 65)(7, 85)(8, 87)(9, 90)(10, 66)(11, 88)(12, 92)(13, 89)(14, 67)(15, 70)(16, 69)(17, 86)(18, 83)(19, 80)(20, 95)(21, 81)(22, 71)(23, 74)(24, 73)(25, 78)(26, 75)(27, 96)(28, 94)(29, 76)(30, 93)(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) :: { ( 8^4 ), ( 8^8 ) }
Outer automorphisms :: reflexible
Dual of E13.503
Graph:: simple bipartite
	v = 24 e = 64 f = 16
	degree seq :: [ 4^16, 8^8 ]

E13.487 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 4, 4})
Quotient :: dipole
Aut^+ = (C2 x Q8) : C2 (small group id <32, 29>)
Aut   = (C2 x C2 x D8) : C2 (small group id <64, 227>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^-1 * Y3^-1 * Y2^-1 * Y3, (R * Y3)^2, (R * Y1)^2, R * Y2 * R * Y2^-1, Y3^4, Y3^-1 * Y1 * Y3 * Y1, Y2^4, Y2^-1 * Y1 * Y3^-2 * Y2^-1 * Y1, Y2^-1 * Y3^2 * Y1 * Y2^-1 * Y1, Y3 * Y2^-1 * Y1 * Y3 * Y2 * Y1, (Y2 * Y3^-2 * Y2)^2 ]
Map:: polytopal 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, 19, 51)(9, 41, 25, 57)(12, 44, 20, 52)(13, 45, 26, 58)(14, 46, 23, 55)(15, 47, 22, 54)(16, 48, 24, 56)(18, 50, 21, 53)(27, 59, 30, 62)(28, 60, 31, 63)(29, 61, 32, 64)(65, 97, 67, 99, 76, 108, 69, 101)(66, 98, 71, 103, 84, 116, 73, 105)(68, 100, 79, 111, 92, 124, 77, 109)(70, 102, 82, 114, 93, 125, 78, 110)(72, 104, 87, 119, 95, 127, 85, 117)(74, 106, 90, 122, 96, 128, 86, 118)(75, 107, 88, 120, 81, 113, 91, 123)(80, 112, 89, 121, 94, 126, 83, 115)
	L = (1, 68)(2, 72)(3, 77)(4, 80)(5, 79)(6, 65)(7, 85)(8, 88)(9, 87)(10, 66)(11, 90)(12, 92)(13, 89)(14, 67)(15, 83)(16, 70)(17, 86)(18, 69)(19, 82)(20, 95)(21, 81)(22, 71)(23, 75)(24, 74)(25, 78)(26, 73)(27, 96)(28, 94)(29, 76)(30, 93)(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) :: { ( 8^4 ), ( 8^8 ) }
Outer automorphisms :: reflexible
Dual of E13.500
Graph:: simple bipartite
	v = 24 e = 64 f = 16
	degree seq :: [ 4^16, 8^8 ]

E13.488 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 4, 4})
Quotient :: dipole
Aut^+ = (C4 x C4) : C2 (small group id <32, 33>)
Aut   = (C4 x D8) : C2 (small group id <64, 219>)
|r| :: 2
Presentation :: [ R^2, Y1^4, (R * Y3)^2, Y3^4, (Y3^-1 * Y1^-1)^2, Y2^4, (R * Y1)^2, (Y3 * Y1^-1)^2, (Y2^-1, Y1^-1), Y3 * Y2 * Y3 * Y2^-1, Y2 * Y1^-1 * R * Y2^-1 * R * Y1^-1, (R * Y2 * Y3^-1)^2, Y3^-2 * Y2^2 * Y1^-2, Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1^-1, Y3 * Y2 * Y1 * Y2 * Y3^-1 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 8, 40, 5, 37)(3, 35, 9, 41, 23, 55, 15, 47)(4, 36, 17, 49, 24, 56, 12, 44)(6, 38, 11, 43, 25, 57, 21, 53)(7, 39, 20, 52, 26, 58, 10, 42)(13, 45, 27, 59, 18, 50, 30, 62)(14, 46, 32, 64, 19, 51, 29, 61)(16, 48, 31, 63, 22, 54, 28, 60)(65, 97, 67, 99, 77, 109, 70, 102)(66, 98, 73, 105, 91, 123, 75, 107)(68, 100, 80, 112, 90, 122, 83, 115)(69, 101, 79, 111, 94, 126, 85, 117)(71, 103, 78, 110, 88, 120, 86, 118)(72, 104, 87, 119, 82, 114, 89, 121)(74, 106, 93, 125, 81, 113, 95, 127)(76, 108, 92, 124, 84, 116, 96, 128)
	L = (1, 68)(2, 74)(3, 78)(4, 82)(5, 84)(6, 86)(7, 65)(8, 88)(9, 92)(10, 94)(11, 96)(12, 66)(13, 90)(14, 89)(15, 95)(16, 67)(17, 69)(18, 71)(19, 70)(20, 91)(21, 93)(22, 87)(23, 83)(24, 77)(25, 80)(26, 72)(27, 81)(28, 85)(29, 73)(30, 76)(31, 75)(32, 79)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E13.471
Graph:: simple bipartite
	v = 16 e = 64 f = 24
	degree seq :: [ 8^16 ]

E13.489 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 4, 4})
Quotient :: dipole
Aut^+ = (C4 x C4) : C2 (small group id <32, 33>)
Aut   = (C4 x D8) : C2 (small group id <64, 219>)
|r| :: 2
Presentation :: [ R^2, R * Y2 * R * Y2^-1, Y2 * Y1^-1 * Y2^-1 * Y1^-1, (R * Y3)^2, (R * Y1)^2, Y3^-1 * Y2^-1 * Y3 * Y2^-1, Y1^4, Y2^4, (Y3 * Y1^-1)^2, (Y3^-1 * Y1^-1)^2, Y3^4, Y2^-2 * Y3^2 * Y1^-2, Y1^-1 * Y2^2 * Y3^-2 * Y1^-1, Y3 * Y2^-1 * Y3 * Y2 * Y1^-2 ]
Map:: polytopal non-degenerate
	R = (1, 33, 2, 34, 8, 40, 5, 37)(3, 35, 13, 45, 23, 55, 9, 41)(4, 36, 17, 49, 24, 56, 12, 44)(6, 38, 21, 53, 25, 57, 11, 43)(7, 39, 20, 52, 26, 58, 10, 42)(14, 46, 27, 59, 19, 51, 31, 63)(15, 47, 29, 61, 22, 54, 30, 62)(16, 48, 28, 60, 18, 50, 32, 64)(65, 97, 67, 99, 78, 110, 70, 102)(66, 98, 73, 105, 91, 123, 75, 107)(68, 100, 82, 114, 90, 122, 79, 111)(69, 101, 77, 109, 95, 127, 85, 117)(71, 103, 86, 118, 88, 120, 80, 112)(72, 104, 87, 119, 83, 115, 89, 121)(74, 106, 94, 126, 81, 113, 92, 124)(76, 108, 96, 128, 84, 116, 93, 125)
	L = (1, 68)(2, 74)(3, 79)(4, 83)(5, 84)(6, 82)(7, 65)(8, 88)(9, 92)(10, 95)(11, 94)(12, 66)(13, 96)(14, 90)(15, 89)(16, 67)(17, 69)(18, 87)(19, 71)(20, 91)(21, 93)(22, 70)(23, 86)(24, 78)(25, 80)(26, 72)(27, 81)(28, 85)(29, 73)(30, 77)(31, 76)(32, 75)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E13.470
Graph:: simple bipartite
	v = 16 e = 64 f = 24
	degree seq :: [ 8^16 ]

E13.490 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 4, 4})
Quotient :: dipole
Aut^+ = C4 x D8 (small group id <32, 25>)
Aut   = D8 x D8 (small group id <64, 226>)
|r| :: 2
Presentation :: [ R^2, Y3^2, (Y1^-1 * Y3)^2, (R * Y1)^2, (R * Y3)^2, Y3 * Y2 * Y3 * Y2^-1, (Y2^-1 * R)^2, (Y2^-1, Y1^-1), Y1^4, Y2^4 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 7, 39, 5, 37)(3, 35, 8, 40, 17, 49, 13, 45)(4, 36, 14, 46, 18, 50, 9, 41)(6, 38, 10, 42, 19, 51, 16, 48)(11, 43, 20, 52, 27, 59, 24, 56)(12, 44, 25, 57, 28, 60, 21, 53)(15, 47, 26, 58, 29, 61, 22, 54)(23, 55, 31, 63, 32, 64, 30, 62)(65, 97, 67, 99, 75, 107, 70, 102)(66, 98, 72, 104, 84, 116, 74, 106)(68, 100, 76, 108, 87, 119, 79, 111)(69, 101, 77, 109, 88, 120, 80, 112)(71, 103, 81, 113, 91, 123, 83, 115)(73, 105, 85, 117, 94, 126, 86, 118)(78, 110, 89, 121, 95, 127, 90, 122)(82, 114, 92, 124, 96, 128, 93, 125)
	L = (1, 68)(2, 73)(3, 76)(4, 65)(5, 78)(6, 79)(7, 82)(8, 85)(9, 66)(10, 86)(11, 87)(12, 67)(13, 89)(14, 69)(15, 70)(16, 90)(17, 92)(18, 71)(19, 93)(20, 94)(21, 72)(22, 74)(23, 75)(24, 95)(25, 77)(26, 80)(27, 96)(28, 81)(29, 83)(30, 84)(31, 88)(32, 91)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E13.476
Graph:: simple bipartite
	v = 16 e = 64 f = 24
	degree seq :: [ 8^16 ]

E13.491 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 4, 4})
Quotient :: dipole
Aut^+ = (C4 x C2 x C2) : C2 (small group id <32, 28>)
Aut   = D8 x D8 (small group id <64, 226>)
|r| :: 2
Presentation :: [ R^2, Y3^2, (Y3 * Y1^-1)^2, (R * Y1)^2, (R * Y3)^2, Y3 * Y2 * Y3 * Y2^-1, (Y2^-1 * R)^2, Y1^4, Y2 * Y1 * Y2 * Y1^-1, Y2^4 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 7, 39, 5, 37)(3, 35, 10, 42, 17, 49, 13, 45)(4, 36, 14, 46, 18, 50, 9, 41)(6, 38, 8, 40, 19, 51, 16, 48)(11, 43, 20, 52, 27, 59, 24, 56)(12, 44, 25, 57, 28, 60, 22, 54)(15, 47, 26, 58, 29, 61, 21, 53)(23, 55, 31, 63, 32, 64, 30, 62)(65, 97, 67, 99, 75, 107, 70, 102)(66, 98, 72, 104, 84, 116, 74, 106)(68, 100, 76, 108, 87, 119, 79, 111)(69, 101, 80, 112, 88, 120, 77, 109)(71, 103, 81, 113, 91, 123, 83, 115)(73, 105, 85, 117, 94, 126, 86, 118)(78, 110, 90, 122, 95, 127, 89, 121)(82, 114, 92, 124, 96, 128, 93, 125)
	L = (1, 68)(2, 73)(3, 76)(4, 65)(5, 78)(6, 79)(7, 82)(8, 85)(9, 66)(10, 86)(11, 87)(12, 67)(13, 89)(14, 69)(15, 70)(16, 90)(17, 92)(18, 71)(19, 93)(20, 94)(21, 72)(22, 74)(23, 75)(24, 95)(25, 77)(26, 80)(27, 96)(28, 81)(29, 83)(30, 84)(31, 88)(32, 91)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E13.477
Graph:: simple bipartite
	v = 16 e = 64 f = 24
	degree seq :: [ 8^16 ]

E13.492 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 4, 4})
Quotient :: dipole
Aut^+ = C4 x D8 (small group id <32, 25>)
Aut   = D8 x D8 (small group id <64, 226>)
|r| :: 2
Presentation :: [ R^2, Y3^2 * Y1^2, Y3^-2 * Y1^2, Y3^4, (R * Y2)^2, Y1^4, (Y3^-1, Y1^-1), (R * Y3)^2, Y2 * Y1 * Y2 * Y1^-1, (Y3^-1, Y2^-1), Y2^4, (R * Y1)^2 ]
Map:: polytopal non-degenerate
	R = (1, 33, 2, 34, 8, 40, 5, 37)(3, 35, 11, 43, 20, 52, 15, 47)(4, 36, 10, 42, 7, 39, 12, 44)(6, 38, 9, 41, 21, 53, 18, 50)(13, 45, 22, 54, 30, 62, 28, 60)(14, 46, 25, 57, 16, 48, 26, 58)(17, 49, 23, 55, 19, 51, 24, 56)(27, 59, 31, 63, 29, 61, 32, 64)(65, 97, 67, 99, 77, 109, 70, 102)(66, 98, 73, 105, 86, 118, 75, 107)(68, 100, 78, 110, 91, 123, 81, 113)(69, 101, 82, 114, 92, 124, 79, 111)(71, 103, 80, 112, 93, 125, 83, 115)(72, 104, 84, 116, 94, 126, 85, 117)(74, 106, 87, 119, 95, 127, 89, 121)(76, 108, 88, 120, 96, 128, 90, 122)
	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, 91)(14, 84)(15, 90)(16, 67)(17, 85)(18, 88)(19, 70)(20, 80)(21, 83)(22, 95)(23, 82)(24, 73)(25, 79)(26, 75)(27, 94)(28, 96)(29, 77)(30, 93)(31, 92)(32, 86)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E13.479
Graph:: simple bipartite
	v = 16 e = 64 f = 24
	degree seq :: [ 8^16 ]

E13.493 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 4, 4})
Quotient :: dipole
Aut^+ = C4 x D8 (small group id <32, 25>)
Aut   = D8 x D8 (small group id <64, 226>)
|r| :: 2
Presentation :: [ R^2, (Y2, Y1^-1), Y2^2 * Y1^2, Y2^2 * Y1^-2, (R * Y1)^2, (R * Y2)^2, (Y3^-1, Y2^-1), (R * Y3)^2, Y2^4, Y1^4, (Y3^-1 * Y1^-1)^2, Y3^4, (Y3 * Y1^-1)^2, Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 33, 2, 34, 8, 40, 5, 37)(3, 35, 9, 41, 6, 38, 11, 43)(4, 36, 15, 47, 20, 52, 12, 44)(7, 39, 18, 50, 21, 53, 10, 42)(13, 45, 26, 58, 17, 49, 23, 55)(14, 46, 25, 57, 19, 51, 22, 54)(16, 48, 24, 56, 30, 62, 28, 60)(27, 59, 31, 63, 29, 61, 32, 64)(65, 97, 67, 99, 72, 104, 70, 102)(66, 98, 73, 105, 69, 101, 75, 107)(68, 100, 77, 109, 84, 116, 81, 113)(71, 103, 78, 110, 85, 117, 83, 115)(74, 106, 86, 118, 82, 114, 89, 121)(76, 108, 87, 119, 79, 111, 90, 122)(80, 112, 91, 123, 94, 126, 93, 125)(88, 120, 95, 127, 92, 124, 96, 128)
	L = (1, 68)(2, 74)(3, 77)(4, 80)(5, 82)(6, 81)(7, 65)(8, 84)(9, 86)(10, 88)(11, 89)(12, 66)(13, 91)(14, 67)(15, 69)(16, 71)(17, 93)(18, 92)(19, 70)(20, 94)(21, 72)(22, 95)(23, 73)(24, 76)(25, 96)(26, 75)(27, 78)(28, 79)(29, 83)(30, 85)(31, 87)(32, 90)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E13.475
Graph:: bipartite
	v = 16 e = 64 f = 24
	degree seq :: [ 8^16 ]

E13.494 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 4, 4})
Quotient :: dipole
Aut^+ = C4 x D8 (small group id <32, 25>)
Aut   = D8 x D8 (small group id <64, 226>)
|r| :: 2
Presentation :: [ R^2, (R * Y2)^2, (Y3^-1, Y2^-1), (R * Y3)^2, (R * Y1)^2, Y1^4, Y2^4, Y2 * Y1 * Y2 * Y1^-1, (Y3 * Y1^-1)^2, (Y3^-1 * Y1^-1)^2, Y3^4, (Y3 * Y2 * Y1^-1)^2, Y1^-1 * Y2^-1 * Y3^2 * Y2^-1 * Y1^-1, Y3 * Y2 * Y1 * Y3^-1 * Y2^-1 * Y1^-1, Y3^-1 * Y2^-1 * Y3^-1 * Y2^-1 * Y1^2 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 8, 40, 5, 37)(3, 35, 11, 43, 23, 55, 15, 47)(4, 36, 17, 49, 24, 56, 12, 44)(6, 38, 9, 41, 25, 57, 20, 52)(7, 39, 21, 53, 26, 58, 10, 42)(13, 45, 27, 59, 18, 50, 30, 62)(14, 46, 28, 60, 22, 54, 32, 64)(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, 79, 111)(71, 103, 80, 112, 88, 120, 86, 118)(72, 104, 87, 119, 82, 114, 89, 121)(74, 106, 92, 124, 81, 113, 95, 127)(76, 108, 93, 125, 85, 117, 96, 128)
	L = (1, 68)(2, 74)(3, 78)(4, 82)(5, 85)(6, 83)(7, 65)(8, 88)(9, 92)(10, 94)(11, 95)(12, 66)(13, 90)(14, 89)(15, 93)(16, 67)(17, 69)(18, 71)(19, 87)(20, 96)(21, 91)(22, 70)(23, 86)(24, 77)(25, 80)(26, 72)(27, 81)(28, 79)(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) :: { ( 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E13.472
Graph:: simple bipartite
	v = 16 e = 64 f = 24
	degree seq :: [ 8^16 ]

E13.495 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 4, 4})
Quotient :: dipole
Aut^+ = (C4 x C2 x C2) : C2 (small group id <32, 28>)
Aut   = D8 x D8 (small group id <64, 226>)
|r| :: 2
Presentation :: [ R^2, Y3^2, (R * Y3)^2, (R * Y1)^2, (Y2^-1 * R)^2, (Y3 * Y1^-1)^2, Y3 * Y2 * Y3 * Y2^-1, Y1^4, (Y2 * Y1^-1)^2, Y2^4, (Y1^-1 * Y2^-1)^2 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 7, 39, 5, 37)(3, 35, 11, 43, 17, 49, 10, 42)(4, 36, 14, 46, 18, 50, 9, 41)(6, 38, 16, 48, 19, 51, 8, 40)(12, 44, 20, 52, 27, 59, 24, 56)(13, 45, 22, 54, 28, 60, 23, 55)(15, 47, 21, 53, 29, 61, 26, 58)(25, 57, 31, 63, 32, 64, 30, 62)(65, 97, 67, 99, 76, 108, 70, 102)(66, 98, 72, 104, 84, 116, 74, 106)(68, 100, 77, 109, 89, 121, 79, 111)(69, 101, 80, 112, 88, 120, 75, 107)(71, 103, 81, 113, 91, 123, 83, 115)(73, 105, 85, 117, 94, 126, 86, 118)(78, 110, 90, 122, 95, 127, 87, 119)(82, 114, 92, 124, 96, 128, 93, 125)
	L = (1, 68)(2, 73)(3, 77)(4, 65)(5, 78)(6, 79)(7, 82)(8, 85)(9, 66)(10, 86)(11, 87)(12, 89)(13, 67)(14, 69)(15, 70)(16, 90)(17, 92)(18, 71)(19, 93)(20, 94)(21, 72)(22, 74)(23, 75)(24, 95)(25, 76)(26, 80)(27, 96)(28, 81)(29, 83)(30, 84)(31, 88)(32, 91)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E13.473
Graph:: simple bipartite
	v = 16 e = 64 f = 24
	degree seq :: [ 8^16 ]

E13.496 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 4, 4})
Quotient :: dipole
Aut^+ = (C4 x C2 x C2) : C2 (small group id <32, 28>)
Aut   = D8 x D8 (small group id <64, 226>)
|r| :: 2
Presentation :: [ R^2, Y3^2, (Y2 * Y1^-1)^2, Y1^4, (Y3 * Y1^-1)^2, (R * Y3)^2, (R * Y1)^2, (Y1^-1 * Y2^-1)^2, Y2^4, (R * Y2 * Y3)^2, Y3 * Y2^-1 * Y1^2 * Y3 * Y2^-1, Y1^-1 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 7, 39, 5, 37)(3, 35, 11, 43, 19, 51, 10, 42)(4, 36, 14, 46, 20, 52, 9, 41)(6, 38, 17, 49, 21, 53, 8, 40)(12, 44, 22, 54, 30, 62, 27, 59)(13, 45, 26, 58, 16, 48, 24, 56)(15, 47, 25, 57, 18, 50, 23, 55)(28, 60, 32, 64, 29, 61, 31, 63)(65, 97, 67, 99, 76, 108, 70, 102)(66, 98, 72, 104, 86, 118, 74, 106)(68, 100, 79, 111, 92, 124, 80, 112)(69, 101, 81, 113, 91, 123, 75, 107)(71, 103, 83, 115, 94, 126, 85, 117)(73, 105, 88, 120, 95, 127, 89, 121)(77, 109, 84, 116, 82, 114, 93, 125)(78, 110, 90, 122, 96, 128, 87, 119)
	L = (1, 68)(2, 73)(3, 77)(4, 65)(5, 78)(6, 82)(7, 84)(8, 87)(9, 66)(10, 90)(11, 88)(12, 92)(13, 67)(14, 69)(15, 85)(16, 83)(17, 89)(18, 70)(19, 80)(20, 71)(21, 79)(22, 95)(23, 72)(24, 75)(25, 81)(26, 74)(27, 96)(28, 76)(29, 94)(30, 93)(31, 86)(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, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E13.478
Graph:: simple bipartite
	v = 16 e = 64 f = 24
	degree seq :: [ 8^16 ]

E13.497 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 4, 4})
Quotient :: dipole
Aut^+ = C4 x D8 (small group id <32, 25>)
Aut   = D8 x D8 (small group id <64, 226>)
|r| :: 2
Presentation :: [ R^2, Y2^-2 * Y3^-2, Y3^4, (Y2 * Y1^-1)^2, (R * Y1)^2, (Y1 * Y3^-1)^2, Y2^4, Y1^4, Y3^-1 * Y2^2 * Y3^-1, (Y2^-1 * Y1^-1)^2, (R * Y3)^2, (Y3^-1 * Y1^-1)^2, Y1^2 * Y2^-1 * Y3 * Y2^-1 * Y3^-1, Y2 * Y1 * Y3^-1 * Y2 * Y3^-1 * Y1^-1, (R * Y2 * Y3^-1)^2, Y2 * Y3^-1 * Y2 * Y3 * Y1^-2, Y3^-1 * Y2 * Y1 * Y3 * Y1^-1 * Y2^-1 ]
Map:: polytopal non-degenerate
	R = (1, 33, 2, 34, 8, 40, 5, 37)(3, 35, 13, 45, 22, 54, 11, 43)(4, 36, 17, 49, 23, 55, 12, 44)(6, 38, 20, 52, 24, 56, 9, 41)(7, 39, 21, 53, 25, 57, 10, 42)(14, 46, 26, 58, 32, 64, 31, 63)(15, 47, 27, 59, 19, 51, 30, 62)(16, 48, 28, 60, 18, 50, 29, 61)(65, 97, 67, 99, 78, 110, 70, 102)(66, 98, 73, 105, 90, 122, 75, 107)(68, 100, 82, 114, 71, 103, 83, 115)(69, 101, 84, 116, 95, 127, 77, 109)(72, 104, 86, 118, 96, 128, 88, 120)(74, 106, 93, 125, 76, 108, 94, 126)(79, 111, 87, 119, 80, 112, 89, 121)(81, 113, 91, 123, 85, 117, 92, 124)
	L = (1, 68)(2, 74)(3, 79)(4, 78)(5, 85)(6, 80)(7, 65)(8, 87)(9, 91)(10, 90)(11, 92)(12, 66)(13, 93)(14, 71)(15, 70)(16, 67)(17, 69)(18, 86)(19, 88)(20, 94)(21, 95)(22, 83)(23, 96)(24, 82)(25, 72)(26, 76)(27, 75)(28, 73)(29, 84)(30, 77)(31, 81)(32, 89)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E13.474
Graph:: simple bipartite
	v = 16 e = 64 f = 24
	degree seq :: [ 8^16 ]

E13.498 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 4, 4})
Quotient :: dipole
Aut^+ = (C2 x Q8) : C2 (small group id <32, 29>)
Aut   = (C2 x C2 x D8) : C2 (small group id <64, 227>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y2^-1 * Y3^-1 * Y2^-1, Y2^-1 * Y3^-2 * Y2^-1, (Y3^-1 * Y1^-1)^2, (R * Y1)^2, R * Y2 * R * Y2^-1, (R * Y3)^2, (Y3 * Y1^-1)^2, Y1^4, Y3 * Y2 * Y3 * Y2^-1, Y2^4, Y2 * Y1 * Y2 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 8, 40, 5, 37)(3, 35, 11, 43, 20, 52, 15, 47)(4, 36, 17, 49, 21, 53, 12, 44)(6, 38, 9, 41, 22, 54, 18, 50)(7, 39, 19, 51, 23, 55, 10, 42)(13, 45, 24, 56, 30, 62, 27, 59)(14, 46, 28, 60, 31, 63, 25, 57)(16, 48, 29, 61, 32, 64, 26, 58)(65, 97, 67, 99, 77, 109, 70, 102)(66, 98, 73, 105, 88, 120, 75, 107)(68, 100, 80, 112, 71, 103, 78, 110)(69, 101, 82, 114, 91, 123, 79, 111)(72, 104, 84, 116, 94, 126, 86, 118)(74, 106, 90, 122, 76, 108, 89, 121)(81, 113, 92, 124, 83, 115, 93, 125)(85, 117, 96, 128, 87, 119, 95, 127)
	L = (1, 68)(2, 74)(3, 78)(4, 77)(5, 83)(6, 80)(7, 65)(8, 85)(9, 89)(10, 88)(11, 90)(12, 66)(13, 71)(14, 70)(15, 93)(16, 67)(17, 69)(18, 92)(19, 91)(20, 95)(21, 94)(22, 96)(23, 72)(24, 76)(25, 75)(26, 73)(27, 81)(28, 79)(29, 82)(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) :: { ( 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E13.483
Graph:: simple bipartite
	v = 16 e = 64 f = 24
	degree seq :: [ 8^16 ]

E13.499 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 4, 4})
Quotient :: dipole
Aut^+ = (C4 x C4) : C2 (small group id <32, 31>)
Aut   = (C2 x C2 x D8) : C2 (small group id <64, 227>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y2^-1 * Y3^-1 * Y2^-1, Y2^-1 * Y3^-2 * Y2^-1, (Y3^-1 * Y1^-1)^2, (R * Y1)^2, R * Y2 * R * Y2^-1, (R * Y3)^2, (Y3 * Y1^-1)^2, Y1^4, Y3 * Y2 * Y3 * Y2^-1, Y2^4, (Y2^-1, Y1^-1) ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 8, 40, 5, 37)(3, 35, 9, 41, 20, 52, 15, 47)(4, 36, 17, 49, 21, 53, 12, 44)(6, 38, 11, 43, 22, 54, 19, 51)(7, 39, 18, 50, 23, 55, 10, 42)(13, 45, 24, 56, 30, 62, 27, 59)(14, 46, 28, 60, 31, 63, 26, 58)(16, 48, 29, 61, 32, 64, 25, 57)(65, 97, 67, 99, 77, 109, 70, 102)(66, 98, 73, 105, 88, 120, 75, 107)(68, 100, 80, 112, 71, 103, 78, 110)(69, 101, 79, 111, 91, 123, 83, 115)(72, 104, 84, 116, 94, 126, 86, 118)(74, 106, 90, 122, 76, 108, 89, 121)(81, 113, 93, 125, 82, 114, 92, 124)(85, 117, 96, 128, 87, 119, 95, 127)
	L = (1, 68)(2, 74)(3, 78)(4, 77)(5, 82)(6, 80)(7, 65)(8, 85)(9, 89)(10, 88)(11, 90)(12, 66)(13, 71)(14, 70)(15, 93)(16, 67)(17, 69)(18, 91)(19, 92)(20, 95)(21, 94)(22, 96)(23, 72)(24, 76)(25, 75)(26, 73)(27, 81)(28, 79)(29, 83)(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) :: { ( 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E13.481
Graph:: simple bipartite
	v = 16 e = 64 f = 24
	degree seq :: [ 8^16 ]

E13.500 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 4, 4})
Quotient :: dipole
Aut^+ = (C2 x Q8) : C2 (small group id <32, 29>)
Aut   = (C2 x C2 x D8) : C2 (small group id <64, 227>)
|r| :: 2
Presentation :: [ R^2, Y1^4, Y2^4, Y2 * Y1 * Y2 * Y1^-1, Y2^-1 * Y1^-1 * Y2 * Y1^-1, R * Y2 * R * Y2^-1, (R * Y3)^2, (R * Y1)^2, Y1 * Y2^2 * Y1, Y3^4, (Y3^-1 * Y1^-1)^2, Y3 * Y2^-1 * Y3^-1 * Y2^-1, (Y3 * Y1^-1)^2 ]
Map:: polytopal non-degenerate
	R = (1, 33, 2, 34, 8, 40, 5, 37)(3, 35, 11, 43, 6, 38, 9, 41)(4, 36, 15, 47, 20, 52, 12, 44)(7, 39, 18, 50, 21, 53, 10, 42)(13, 45, 23, 55, 16, 48, 26, 58)(14, 46, 22, 54, 19, 51, 24, 56)(17, 49, 25, 57, 30, 62, 28, 60)(27, 59, 32, 64, 29, 61, 31, 63)(65, 97, 67, 99, 72, 104, 70, 102)(66, 98, 73, 105, 69, 101, 75, 107)(68, 100, 80, 112, 84, 116, 77, 109)(71, 103, 83, 115, 85, 117, 78, 110)(74, 106, 88, 120, 82, 114, 86, 118)(76, 108, 90, 122, 79, 111, 87, 119)(81, 113, 91, 123, 94, 126, 93, 125)(89, 121, 95, 127, 92, 124, 96, 128)
	L = (1, 68)(2, 74)(3, 77)(4, 81)(5, 82)(6, 80)(7, 65)(8, 84)(9, 86)(10, 89)(11, 88)(12, 66)(13, 91)(14, 67)(15, 69)(16, 93)(17, 71)(18, 92)(19, 70)(20, 94)(21, 72)(22, 95)(23, 73)(24, 96)(25, 76)(26, 75)(27, 78)(28, 79)(29, 83)(30, 85)(31, 87)(32, 90)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E13.487
Graph:: bipartite
	v = 16 e = 64 f = 24
	degree seq :: [ 8^16 ]

E13.501 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 4, 4})
Quotient :: dipole
Aut^+ = C4 x D8 (small group id <32, 25>)
Aut   = (C2 x C2 x D8) : C2 (small group id <64, 227>)
|r| :: 2
Presentation :: [ R^2, R * Y2 * R * Y2^-1, (R * Y3)^2, (R * Y1)^2, Y2 * Y3^-1 * Y2 * Y3, Y1^4, Y3^4, Y2^4, (Y2^-1, Y1^-1), (Y3 * Y1^-1)^2, (Y3^-1 * Y1^-1)^2, Y3 * Y2^-1 * Y3 * Y2 * Y1^-2, Y1^-1 * Y2^2 * Y3^-2 * Y1^-1, (Y3 * Y2^-1 * Y1^-1)^2, Y1 * Y2^-1 * Y3^2 * Y2^-1 * Y1 ]
Map:: polytopal non-degenerate
	R = (1, 33, 2, 34, 8, 40, 5, 37)(3, 35, 9, 41, 23, 55, 15, 47)(4, 36, 17, 49, 24, 56, 12, 44)(6, 38, 11, 43, 25, 57, 21, 53)(7, 39, 20, 52, 26, 58, 10, 42)(13, 45, 27, 59, 19, 51, 31, 63)(14, 46, 30, 62, 22, 54, 29, 61)(16, 48, 32, 64, 18, 50, 28, 60)(65, 97, 67, 99, 77, 109, 70, 102)(66, 98, 73, 105, 91, 123, 75, 107)(68, 100, 82, 114, 90, 122, 78, 110)(69, 101, 79, 111, 95, 127, 85, 117)(71, 103, 86, 118, 88, 120, 80, 112)(72, 104, 87, 119, 83, 115, 89, 121)(74, 106, 94, 126, 81, 113, 92, 124)(76, 108, 96, 128, 84, 116, 93, 125)
	L = (1, 68)(2, 74)(3, 78)(4, 83)(5, 84)(6, 82)(7, 65)(8, 88)(9, 92)(10, 95)(11, 94)(12, 66)(13, 90)(14, 89)(15, 96)(16, 67)(17, 69)(18, 87)(19, 71)(20, 91)(21, 93)(22, 70)(23, 86)(24, 77)(25, 80)(26, 72)(27, 81)(28, 85)(29, 73)(30, 79)(31, 76)(32, 75)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E13.484
Graph:: simple bipartite
	v = 16 e = 64 f = 24
	degree seq :: [ 8^16 ]

E13.502 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 4, 4})
Quotient :: dipole
Aut^+ = (C2 x Q8) : C2 (small group id <32, 29>)
Aut   = (C2 x C2 x D8) : C2 (small group id <64, 227>)
|r| :: 2
Presentation :: [ R^2, Y1^4, Y2^2 * Y1^2, Y2^-1 * Y3^-2 * Y2^-1, Y1^-1 * Y3^-2 * Y1^-1, (Y3^-1 * Y1^-1)^2, (R * Y3)^2, Y1^-1 * Y2^2 * Y1^-1, (R * Y1)^2, R * Y2 * R * Y2^-1, Y3 * Y2 * Y3 * Y2^-1, (Y3 * Y1^-1)^2, (Y2^-1 * Y1^-1)^4 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 8, 40, 5, 37)(3, 35, 13, 45, 6, 38, 15, 47)(4, 36, 10, 42, 7, 39, 12, 44)(9, 41, 17, 49, 11, 43, 19, 51)(14, 46, 22, 54, 16, 48, 24, 56)(18, 50, 26, 58, 20, 52, 28, 60)(21, 53, 25, 57, 23, 55, 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, 80, 112, 71, 103, 78, 110)(74, 106, 84, 116, 76, 108, 82, 114)(77, 109, 85, 117, 79, 111, 87, 119)(81, 113, 89, 121, 83, 115, 91, 123)(86, 118, 94, 126, 88, 120, 93, 125)(90, 122, 96, 128, 92, 124, 95, 127)
	L = (1, 68)(2, 74)(3, 78)(4, 72)(5, 76)(6, 80)(7, 65)(8, 71)(9, 82)(10, 69)(11, 84)(12, 66)(13, 86)(14, 70)(15, 88)(16, 67)(17, 90)(18, 75)(19, 92)(20, 73)(21, 93)(22, 79)(23, 94)(24, 77)(25, 95)(26, 83)(27, 96)(28, 81)(29, 87)(30, 85)(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) :: { ( 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E13.482
Graph:: bipartite
	v = 16 e = 64 f = 24
	degree seq :: [ 8^16 ]

E13.503 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 4, 4})
Quotient :: dipole
Aut^+ = (C2 x Q8) : C2 (small group id <32, 29>)
Aut   = (C2 x C2 x D8) : C2 (small group id <64, 227>)
|r| :: 2
Presentation :: [ R^2, Y3^2 * Y1^2, Y3^-2 * Y1^2, (Y3^-1, Y1^-1), (R * Y3)^2, (R * Y1)^2, Y1^4, Y3 * Y2 * Y3 * Y2^-1, Y2 * Y1 * Y2 * Y1^-1, Y2^4, (R * Y2 * Y3^-1)^2, Y2^-1 * Y3^-1 * Y1 * Y2^-1 * Y3^-1 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 8, 40, 5, 37)(3, 35, 11, 43, 20, 52, 15, 47)(4, 36, 10, 42, 7, 39, 12, 44)(6, 38, 9, 41, 21, 53, 18, 50)(13, 45, 22, 54, 30, 62, 28, 60)(14, 46, 26, 58, 16, 48, 25, 57)(17, 49, 24, 56, 19, 51, 23, 55)(27, 59, 31, 63, 29, 61, 32, 64)(65, 97, 67, 99, 77, 109, 70, 102)(66, 98, 73, 105, 86, 118, 75, 107)(68, 100, 80, 112, 91, 123, 81, 113)(69, 101, 82, 114, 92, 124, 79, 111)(71, 103, 78, 110, 93, 125, 83, 115)(72, 104, 84, 116, 94, 126, 85, 117)(74, 106, 88, 120, 95, 127, 89, 121)(76, 108, 87, 119, 96, 128, 90, 122)
	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, 91)(14, 84)(15, 89)(16, 67)(17, 70)(18, 88)(19, 85)(20, 80)(21, 81)(22, 95)(23, 82)(24, 73)(25, 75)(26, 79)(27, 94)(28, 96)(29, 77)(30, 93)(31, 92)(32, 86)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E13.486
Graph:: simple bipartite
	v = 16 e = 64 f = 24
	degree seq :: [ 8^16 ]

E13.504 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 4, 4})
Quotient :: dipole
Aut^+ = (C4 x C2 x C2) : C2 (small group id <32, 30>)
Aut   = (C2 x C2 x D8) : C2 (small group id <64, 227>)
|r| :: 2
Presentation :: [ R^2, Y3^2, (R * Y3)^2, (Y3 * Y1^-1)^2, (R * Y1)^2, Y2 * Y1 * Y2 * Y1^-1, Y1^4, Y2^4, Y1^2 * Y2^-1 * Y3 * Y2 * Y3, (Y3 * Y2^-2)^2, (R * Y2 * Y3)^2, Y2 * Y3 * Y2^-1 * Y1^2 * Y3, Y2 * Y1^-1 * R * Y2^-1 * R * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 33, 2, 34, 7, 39, 5, 37)(3, 35, 10, 42, 19, 51, 13, 45)(4, 36, 14, 46, 20, 52, 9, 41)(6, 38, 8, 40, 21, 53, 17, 49)(11, 43, 22, 54, 30, 62, 28, 60)(12, 44, 25, 57, 15, 47, 26, 58)(16, 48, 23, 55, 18, 50, 24, 56)(27, 59, 32, 64, 29, 61, 31, 63)(65, 97, 67, 99, 75, 107, 70, 102)(66, 98, 72, 104, 86, 118, 74, 106)(68, 100, 79, 111, 91, 123, 80, 112)(69, 101, 81, 113, 92, 124, 77, 109)(71, 103, 83, 115, 94, 126, 85, 117)(73, 105, 88, 120, 95, 127, 89, 121)(76, 108, 93, 125, 82, 114, 84, 116)(78, 110, 87, 119, 96, 128, 90, 122)
	L = (1, 68)(2, 73)(3, 76)(4, 65)(5, 78)(6, 82)(7, 84)(8, 87)(9, 66)(10, 90)(11, 91)(12, 67)(13, 89)(14, 69)(15, 83)(16, 85)(17, 88)(18, 70)(19, 79)(20, 71)(21, 80)(22, 95)(23, 72)(24, 81)(25, 77)(26, 74)(27, 75)(28, 96)(29, 94)(30, 93)(31, 86)(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, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E13.485
Graph:: simple bipartite
	v = 16 e = 64 f = 24
	degree seq :: [ 8^16 ]

E13.505 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 4, 4})
Quotient :: dipole
Aut^+ = (C4 x C2 x C2) : C2 (small group id <32, 30>)
Aut   = (C2 x C2 x D8) : C2 (small group id <64, 227>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y1^4, Y2 * Y1^-1 * Y2 * Y1, (Y3 * Y1^-1)^2, (R * Y1)^2, Y2^4, (R * Y3)^2, Y3 * Y2^-1 * Y1^2 * Y3 * Y2^-1, Y2 * Y1^-1 * R * Y2 * R * Y1^-1, Y2 * Y3 * Y2 * Y1^2 * Y3, (R * Y2 * Y3)^2 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 7, 39, 5, 37)(3, 35, 10, 42, 19, 51, 13, 45)(4, 36, 14, 46, 20, 52, 9, 41)(6, 38, 8, 40, 21, 53, 17, 49)(11, 43, 22, 54, 30, 62, 28, 60)(12, 44, 24, 56, 16, 48, 26, 58)(15, 47, 23, 55, 18, 50, 25, 57)(27, 59, 32, 64, 29, 61, 31, 63)(65, 97, 67, 99, 75, 107, 70, 102)(66, 98, 72, 104, 86, 118, 74, 106)(68, 100, 79, 111, 91, 123, 80, 112)(69, 101, 81, 113, 92, 124, 77, 109)(71, 103, 83, 115, 94, 126, 85, 117)(73, 105, 88, 120, 95, 127, 89, 121)(76, 108, 84, 116, 82, 114, 93, 125)(78, 110, 90, 122, 96, 128, 87, 119)
	L = (1, 68)(2, 73)(3, 76)(4, 65)(5, 78)(6, 82)(7, 84)(8, 87)(9, 66)(10, 90)(11, 91)(12, 67)(13, 88)(14, 69)(15, 85)(16, 83)(17, 89)(18, 70)(19, 80)(20, 71)(21, 79)(22, 95)(23, 72)(24, 77)(25, 81)(26, 74)(27, 75)(28, 96)(29, 94)(30, 93)(31, 86)(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, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E13.480
Graph:: simple bipartite
	v = 16 e = 64 f = 24
	degree seq :: [ 8^16 ]

E13.506 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 4, 4})
Quotient :: dipole
Aut^+ = (C4 x C2 x C2) : C2 (small group id <32, 30>)
Aut   = (C2 x C2 x D8) : C2 (small group id <64, 215>)
|r| :: 2
Presentation :: [ Y1^2, Y3^2, R^2, Y3 * Y2 * Y3 * Y2^-1, Y2^4, (R * Y3)^2, (R * Y1)^2, (Y2^-1 * R)^2, Y3 * Y2 * Y1 * Y3 * Y1 * Y2, (Y2^-1 * Y1 * Y2^-1)^2, (Y2 * Y1 * Y2^-1 * Y1)^2 ]
Map:: non-degenerate
	R = (1, 33, 2, 34)(3, 35, 9, 41)(4, 36, 12, 44)(5, 37, 14, 46)(6, 38, 15, 47)(7, 39, 18, 50)(8, 40, 20, 52)(10, 42, 16, 48)(11, 43, 24, 56)(13, 45, 22, 54)(17, 49, 28, 60)(19, 51, 26, 58)(21, 53, 25, 57)(23, 55, 27, 59)(29, 61, 32, 64)(30, 62, 31, 63)(65, 97, 67, 99, 74, 106, 69, 101)(66, 98, 70, 102, 80, 112, 72, 104)(68, 100, 75, 107, 82, 114, 77, 109)(71, 103, 81, 113, 76, 108, 83, 115)(73, 105, 85, 117, 78, 110, 87, 119)(79, 111, 89, 121, 84, 116, 91, 123)(86, 118, 93, 125, 88, 120, 94, 126)(90, 122, 95, 127, 92, 124, 96, 128)
	L = (1, 68)(2, 71)(3, 75)(4, 65)(5, 77)(6, 81)(7, 66)(8, 83)(9, 86)(10, 82)(11, 67)(12, 80)(13, 69)(14, 88)(15, 90)(16, 76)(17, 70)(18, 74)(19, 72)(20, 92)(21, 93)(22, 73)(23, 94)(24, 78)(25, 95)(26, 79)(27, 96)(28, 84)(29, 85)(30, 87)(31, 89)(32, 91)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 8^4 ), ( 8^8 ) }
Outer automorphisms :: reflexible
Dual of E13.511
Graph:: simple bipartite
	v = 24 e = 64 f = 16
	degree seq :: [ 4^16, 8^8 ]

E13.507 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 4, 4})
Quotient :: dipole
Aut^+ = (C4 x C2 x C2) : C2 (small group id <32, 30>)
Aut   = (C2 x C2 x D8) : C2 (small group id <64, 215>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3 * Y2 * Y3 * Y2^-1, (R * Y3)^2, (R * Y1)^2, (Y2^-1 * Y1)^2, Y3^4, Y2^4, Y3^-1 * Y2 * Y1 * Y3^-1 * Y2^-1 * Y1, (R * Y2 * Y3^-1)^2, (Y3^-1 * Y1)^4 ]
Map:: non-degenerate
	R = (1, 33, 2, 34)(3, 35, 9, 41)(4, 36, 14, 46)(5, 37, 7, 39)(6, 38, 18, 50)(8, 40, 22, 54)(10, 42, 26, 58)(11, 43, 19, 51)(12, 44, 20, 52)(13, 45, 21, 53)(15, 47, 23, 55)(16, 48, 24, 56)(17, 49, 25, 57)(27, 59, 32, 64)(28, 60, 31, 63)(29, 61, 30, 62)(65, 97, 67, 99, 75, 107, 69, 101)(66, 98, 71, 103, 83, 115, 73, 105)(68, 100, 77, 109, 86, 118, 80, 112)(70, 102, 76, 108, 90, 122, 81, 113)(72, 104, 85, 117, 78, 110, 88, 120)(74, 106, 84, 116, 82, 114, 89, 121)(79, 111, 91, 123, 95, 127, 93, 125)(87, 119, 94, 126, 92, 124, 96, 128)
	L = (1, 68)(2, 72)(3, 76)(4, 79)(5, 81)(6, 65)(7, 84)(8, 87)(9, 89)(10, 66)(11, 86)(12, 91)(13, 67)(14, 92)(15, 70)(16, 69)(17, 93)(18, 83)(19, 78)(20, 94)(21, 71)(22, 95)(23, 74)(24, 73)(25, 96)(26, 75)(27, 77)(28, 82)(29, 80)(30, 85)(31, 90)(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) :: { ( 8^4 ), ( 8^8 ) }
Outer automorphisms :: reflexible
Dual of E13.513
Graph:: simple bipartite
	v = 24 e = 64 f = 16
	degree seq :: [ 4^16, 8^8 ]

E13.508 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 4, 4})
Quotient :: dipole
Aut^+ = (C4 x C2 x C2) : C2 (small group id <32, 30>)
Aut   = (C2 x C2 x D8) : C2 (small group id <64, 215>)
|r| :: 2
Presentation :: [ Y1^2, Y3^2, R^2, (R * Y3)^2, (R * Y1)^2, Y2^4, (R * Y2 * Y3)^2, (Y2^-2 * Y1)^2, Y2 * Y3 * Y1 * Y3 * Y2^-1 * Y1, Y3 * Y1 * Y2^-1 * Y3 * Y2^-1 * Y1, Y2^-1 * Y1 * Y3 * Y2^-1 * Y3 * Y1, (Y2^-1 * Y1 * Y2 * Y1)^2, (Y2^-1 * Y1)^4 ]
Map:: polytopal non-degenerate
	R = (1, 33, 2, 34)(3, 35, 9, 41)(4, 36, 12, 44)(5, 37, 15, 47)(6, 38, 17, 49)(7, 39, 20, 52)(8, 40, 23, 55)(10, 42, 18, 50)(11, 43, 19, 51)(13, 45, 21, 53)(14, 46, 22, 54)(16, 48, 24, 56)(25, 57, 29, 61)(26, 58, 30, 62)(27, 59, 32, 64)(28, 60, 31, 63)(65, 97, 67, 99, 74, 106, 69, 101)(66, 98, 70, 102, 82, 114, 72, 104)(68, 100, 77, 109, 91, 123, 78, 110)(71, 103, 85, 117, 95, 127, 86, 118)(73, 105, 89, 121, 79, 111, 90, 122)(75, 107, 84, 116, 80, 112, 92, 124)(76, 108, 88, 120, 96, 128, 83, 115)(81, 113, 93, 125, 87, 119, 94, 126)
	L = (1, 68)(2, 71)(3, 75)(4, 65)(5, 80)(6, 83)(7, 66)(8, 88)(9, 86)(10, 91)(11, 67)(12, 90)(13, 87)(14, 81)(15, 85)(16, 69)(17, 78)(18, 95)(19, 70)(20, 94)(21, 79)(22, 73)(23, 77)(24, 72)(25, 96)(26, 76)(27, 74)(28, 93)(29, 92)(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) :: { ( 8^4 ), ( 8^8 ) }
Outer automorphisms :: reflexible
Dual of E13.512
Graph:: simple bipartite
	v = 24 e = 64 f = 16
	degree seq :: [ 4^16, 8^8 ]

E13.509 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 4, 4})
Quotient :: dipole
Aut^+ = (C4 x C4) : C2 (small group id <32, 33>)
Aut   = ((C4 x C2 x C2) : C2) : C2 (small group id <64, 241>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (Y3, Y2), (R * Y2)^2, (R * Y3)^2, Y2^4, Y3^4, (R * Y1)^2, Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3, Y3^-1 * Y2^2 * Y1 * Y3^-1 * Y1, Y2^-1 * Y1 * Y3 * Y2 * Y3 * Y1, Y2^-2 * Y3^-1 * Y1 * Y3^-1 * Y1, Y3^-1 * Y1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y1 ]
Map:: non-degenerate
	R = (1, 33, 2, 34)(3, 35, 11, 43)(4, 36, 15, 47)(5, 37, 18, 50)(6, 38, 20, 52)(7, 39, 21, 53)(8, 40, 25, 57)(9, 41, 28, 60)(10, 42, 30, 62)(12, 44, 22, 54)(13, 45, 27, 59)(14, 46, 29, 61)(16, 48, 26, 58)(17, 49, 23, 55)(19, 51, 24, 56)(31, 63, 32, 64)(65, 97, 67, 99, 76, 108, 69, 101)(66, 98, 71, 103, 86, 118, 73, 105)(68, 100, 77, 109, 94, 126, 81, 113)(70, 102, 78, 110, 89, 121, 83, 115)(72, 104, 87, 119, 84, 116, 91, 123)(74, 106, 88, 120, 79, 111, 93, 125)(75, 107, 95, 127, 82, 114, 90, 122)(80, 112, 85, 117, 96, 128, 92, 124)
	L = (1, 68)(2, 72)(3, 77)(4, 80)(5, 81)(6, 65)(7, 87)(8, 90)(9, 91)(10, 66)(11, 88)(12, 94)(13, 85)(14, 67)(15, 86)(16, 70)(17, 92)(18, 93)(19, 69)(20, 95)(21, 78)(22, 84)(23, 75)(24, 71)(25, 76)(26, 74)(27, 82)(28, 83)(29, 73)(30, 96)(31, 79)(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) :: { ( 8^4 ), ( 8^8 ) }
Outer automorphisms :: reflexible
Dual of E13.514
Graph:: simple bipartite
	v = 24 e = 64 f = 16
	degree seq :: [ 4^16, 8^8 ]

E13.510 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 4, 4})
Quotient :: dipole
Aut^+ = (C4 x C4) : C2 (small group id <32, 33>)
Aut   = ((C4 x C2 x C2) : C2) : C2 (small group id <64, 241>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (Y3^-1, Y2), Y3^4, Y2^4, (R * Y2)^2, (R * Y3)^2, (R * Y1)^2, Y2^-2 * Y3^-1 * Y1 * Y3 * Y1, Y2^-1 * Y3^-1 * Y1 * Y3^-1 * Y2 * Y1, Y3 * Y1 * Y2 * Y1 * Y3 * Y2, (Y2 * Y1 * Y2^-1 * Y1)^2 ]
Map:: polytopal non-degenerate
	R = (1, 33, 2, 34)(3, 35, 11, 43)(4, 36, 15, 47)(5, 37, 18, 50)(6, 38, 20, 52)(7, 39, 21, 53)(8, 40, 25, 57)(9, 41, 28, 60)(10, 42, 30, 62)(12, 44, 22, 54)(13, 45, 24, 56)(14, 46, 23, 55)(16, 48, 26, 58)(17, 49, 29, 61)(19, 51, 27, 59)(31, 63, 32, 64)(65, 97, 67, 99, 76, 108, 69, 101)(66, 98, 71, 103, 86, 118, 73, 105)(68, 100, 77, 109, 89, 121, 81, 113)(70, 102, 78, 110, 94, 126, 83, 115)(72, 104, 87, 119, 79, 111, 91, 123)(74, 106, 88, 120, 84, 116, 93, 125)(75, 107, 90, 122, 82, 114, 95, 127)(80, 112, 92, 124, 96, 128, 85, 117)
	L = (1, 68)(2, 72)(3, 77)(4, 80)(5, 81)(6, 65)(7, 87)(8, 90)(9, 91)(10, 66)(11, 93)(12, 89)(13, 92)(14, 67)(15, 95)(16, 70)(17, 85)(18, 88)(19, 69)(20, 86)(21, 83)(22, 79)(23, 82)(24, 71)(25, 96)(26, 74)(27, 75)(28, 78)(29, 73)(30, 76)(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) :: { ( 8^4 ), ( 8^8 ) }
Outer automorphisms :: reflexible
Dual of E13.515
Graph:: simple bipartite
	v = 24 e = 64 f = 16
	degree seq :: [ 4^16, 8^8 ]

E13.511 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 4, 4})
Quotient :: dipole
Aut^+ = (C4 x C2 x C2) : C2 (small group id <32, 30>)
Aut   = (C2 x C2 x D8) : C2 (small group id <64, 215>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2^2 * Y1^2, Y1^4, Y3 * Y2 * Y3 * Y2^-1, (R * Y1)^2, (R * Y3)^2, Y1^-1 * Y2^2 * Y1^-1, (Y1^-1 * Y3)^2, (R * Y2)^2, (Y2^-1 * Y1^-1)^4 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 7, 39, 5, 37)(3, 35, 11, 43, 6, 38, 13, 45)(4, 36, 14, 46, 16, 48, 9, 41)(8, 40, 17, 49, 10, 42, 19, 51)(12, 44, 24, 56, 15, 47, 22, 54)(18, 50, 28, 60, 20, 52, 26, 58)(21, 53, 25, 57, 23, 55, 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, 76, 108, 80, 112, 79, 111)(73, 105, 82, 114, 78, 110, 84, 116)(75, 107, 85, 117, 77, 109, 87, 119)(81, 113, 89, 121, 83, 115, 91, 123)(86, 118, 93, 125, 88, 120, 94, 126)(90, 122, 95, 127, 92, 124, 96, 128)
	L = (1, 68)(2, 73)(3, 76)(4, 65)(5, 78)(6, 79)(7, 80)(8, 82)(9, 66)(10, 84)(11, 86)(12, 67)(13, 88)(14, 69)(15, 70)(16, 71)(17, 90)(18, 72)(19, 92)(20, 74)(21, 93)(22, 75)(23, 94)(24, 77)(25, 95)(26, 81)(27, 96)(28, 83)(29, 85)(30, 87)(31, 89)(32, 91)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E13.506
Graph:: bipartite
	v = 16 e = 64 f = 24
	degree seq :: [ 8^16 ]

E13.512 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 4, 4})
Quotient :: dipole
Aut^+ = (C4 x C2 x C2) : C2 (small group id <32, 30>)
Aut   = (C2 x C2 x D8) : C2 (small group id <64, 215>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2^-1 * Y1^-2 * Y2^-1, Y1^4, Y2^4, (R * Y1)^2, (Y3 * Y1^-1)^2, (R * Y3)^2, Y2^-1 * Y3 * Y1^-2 * Y3 * Y2^-1, Y2^-1 * Y1 * Y3 * Y2 * Y3 * Y1^-1, Y3 * Y2 * Y1^-1 * Y3 * Y2 * Y1, (R * Y2 * Y3)^2, Y1^-1 * Y2^-1 * Y1 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1, (Y2^-1 * Y1^-1)^4 ]
Map:: polytopal non-degenerate
	R = (1, 33, 2, 34, 7, 39, 5, 37)(3, 35, 11, 43, 6, 38, 13, 45)(4, 36, 14, 46, 18, 50, 9, 41)(8, 40, 19, 51, 10, 42, 21, 53)(12, 44, 23, 55, 17, 49, 22, 54)(15, 47, 24, 56, 16, 48, 20, 52)(25, 57, 29, 61, 26, 58, 30, 62)(27, 59, 32, 64, 28, 60, 31, 63)(65, 97, 67, 99, 71, 103, 70, 102)(66, 98, 72, 104, 69, 101, 74, 106)(68, 100, 79, 111, 82, 114, 80, 112)(73, 105, 86, 118, 78, 110, 87, 119)(75, 107, 89, 121, 77, 109, 90, 122)(76, 108, 91, 123, 81, 113, 92, 124)(83, 115, 93, 125, 85, 117, 94, 126)(84, 116, 95, 127, 88, 120, 96, 128)
	L = (1, 68)(2, 73)(3, 76)(4, 65)(5, 78)(6, 81)(7, 82)(8, 84)(9, 66)(10, 88)(11, 86)(12, 67)(13, 87)(14, 69)(15, 85)(16, 83)(17, 70)(18, 71)(19, 80)(20, 72)(21, 79)(22, 75)(23, 77)(24, 74)(25, 95)(26, 96)(27, 94)(28, 93)(29, 92)(30, 91)(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) :: { ( 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E13.508
Graph:: bipartite
	v = 16 e = 64 f = 24
	degree seq :: [ 8^16 ]

E13.513 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 4, 4})
Quotient :: dipole
Aut^+ = (C4 x C2 x C2) : C2 (small group id <32, 30>)
Aut   = (C2 x C2 x D8) : C2 (small group id <64, 215>)
|r| :: 2
Presentation :: [ R^2, (Y2 * Y1^-1)^2, (R * Y3)^2, (R * Y1)^2, Y2^4, (Y2^-1 * Y1^-1)^2, Y1^4, Y3 * Y2 * Y3 * Y2^-1, Y3^4, (Y3 * Y1^-1)^2, (Y3^-1 * Y1^-1)^2, Y1^-1 * Y2^-1 * Y3^2 * Y2^-1 * Y1^-1, (R * Y2 * Y3^-1)^2, Y2^2 * Y1^-1 * Y3^-2 * Y1^-1, Y2^-1 * Y1^2 * Y2 * Y1^-2 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 8, 40, 5, 37)(3, 35, 13, 45, 23, 55, 11, 43)(4, 36, 17, 49, 24, 56, 12, 44)(6, 38, 20, 52, 25, 57, 9, 41)(7, 39, 21, 53, 26, 58, 10, 42)(14, 46, 27, 59, 18, 50, 30, 62)(15, 47, 31, 63, 19, 51, 28, 60)(16, 48, 32, 64, 22, 54, 29, 61)(65, 97, 67, 99, 78, 110, 70, 102)(66, 98, 73, 105, 91, 123, 75, 107)(68, 100, 80, 112, 90, 122, 83, 115)(69, 101, 84, 116, 94, 126, 77, 109)(71, 103, 79, 111, 88, 120, 86, 118)(72, 104, 87, 119, 82, 114, 89, 121)(74, 106, 93, 125, 81, 113, 95, 127)(76, 108, 92, 124, 85, 117, 96, 128)
	L = (1, 68)(2, 74)(3, 79)(4, 82)(5, 85)(6, 86)(7, 65)(8, 88)(9, 92)(10, 94)(11, 96)(12, 66)(13, 93)(14, 90)(15, 89)(16, 67)(17, 69)(18, 71)(19, 70)(20, 95)(21, 91)(22, 87)(23, 83)(24, 78)(25, 80)(26, 72)(27, 81)(28, 77)(29, 73)(30, 76)(31, 75)(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 ) }
Outer automorphisms :: reflexible
Dual of E13.507
Graph:: simple bipartite
	v = 16 e = 64 f = 24
	degree seq :: [ 8^16 ]

E13.514 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 4, 4})
Quotient :: dipole
Aut^+ = (C4 x C4) : C2 (small group id <32, 33>)
Aut   = ((C4 x C2 x C2) : C2) : C2 (small group id <64, 241>)
|r| :: 2
Presentation :: [ R^2, (Y2^-1, Y3^-1), (R * Y2)^2, Y2 * Y1^-1 * Y2^-1 * Y1^-1, (R * Y3)^2, Y3^4, (Y3^-1 * Y1^-1)^2, Y1^4, (R * Y1)^2, (Y3 * Y1^-1)^2, Y2^4, Y3 * Y2 * Y3 * Y2 * Y1^-2, Y1^-1 * Y2^2 * Y3^-2 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 8, 40, 5, 37)(3, 35, 13, 45, 23, 55, 9, 41)(4, 36, 17, 49, 24, 56, 12, 44)(6, 38, 21, 53, 25, 57, 11, 43)(7, 39, 20, 52, 26, 58, 10, 42)(14, 46, 27, 59, 18, 50, 30, 62)(15, 47, 29, 61, 22, 54, 31, 63)(16, 48, 28, 60, 19, 51, 32, 64)(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, 77, 109, 94, 126, 85, 117)(71, 103, 80, 112, 88, 120, 86, 118)(72, 104, 87, 119, 82, 114, 89, 121)(74, 106, 92, 124, 81, 113, 95, 127)(76, 108, 93, 125, 84, 116, 96, 128)
	L = (1, 68)(2, 74)(3, 79)(4, 82)(5, 84)(6, 83)(7, 65)(8, 88)(9, 92)(10, 94)(11, 95)(12, 66)(13, 96)(14, 90)(15, 89)(16, 67)(17, 69)(18, 71)(19, 87)(20, 91)(21, 93)(22, 70)(23, 86)(24, 78)(25, 80)(26, 72)(27, 81)(28, 85)(29, 73)(30, 76)(31, 77)(32, 75)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E13.509
Graph:: simple bipartite
	v = 16 e = 64 f = 24
	degree seq :: [ 8^16 ]

E13.515 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 4, 4})
Quotient :: dipole
Aut^+ = (C4 x C4) : C2 (small group id <32, 33>)
Aut   = ((C4 x C2 x C2) : C2) : C2 (small group id <64, 241>)
|r| :: 2
Presentation :: [ R^2, Y2^-4, Y1^4, (R * Y1)^2, Y1^-1 * Y2^2 * Y1^-1, (R * Y2)^2, Y2^2 * Y1^2, (Y3^-1, Y2^-1), (Y3^-1 * Y1^-1)^2, Y3^4, (R * Y3)^2, (Y3 * Y1^-1)^2, Y2^-1 * Y1^-1 * Y3^-2 * Y2^-1 * Y1^-1, Y3^-1 * Y2 * Y1 * Y3 * Y2 * Y1^-1, Y3^2 * Y1 * Y3^-2 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 33, 2, 34, 8, 40, 5, 37)(3, 35, 13, 45, 6, 38, 15, 47)(4, 36, 17, 49, 22, 54, 12, 44)(7, 39, 20, 52, 23, 55, 10, 42)(9, 41, 24, 56, 11, 43, 26, 58)(14, 46, 29, 61, 19, 51, 25, 57)(16, 48, 30, 62, 21, 53, 27, 59)(18, 50, 28, 60, 32, 64, 31, 63)(65, 97, 67, 99, 72, 104, 70, 102)(66, 98, 73, 105, 69, 101, 75, 107)(68, 100, 78, 110, 86, 118, 83, 115)(71, 103, 80, 112, 87, 119, 85, 117)(74, 106, 89, 121, 84, 116, 93, 125)(76, 108, 91, 123, 81, 113, 94, 126)(77, 109, 95, 127, 79, 111, 92, 124)(82, 114, 90, 122, 96, 128, 88, 120)
	L = (1, 68)(2, 74)(3, 78)(4, 82)(5, 84)(6, 83)(7, 65)(8, 86)(9, 89)(10, 92)(11, 93)(12, 66)(13, 91)(14, 90)(15, 94)(16, 67)(17, 69)(18, 71)(19, 88)(20, 95)(21, 70)(22, 96)(23, 72)(24, 85)(25, 77)(26, 80)(27, 73)(28, 76)(29, 79)(30, 75)(31, 81)(32, 87)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E13.510
Graph:: bipartite
	v = 16 e = 64 f = 24
	degree seq :: [ 8^16 ]

E13.516 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 4, 4})
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 :: [ Y1^2, Y3^2, R^2, Y2^4, Y3 * Y2 * Y3 * Y2^-1, (R * Y1)^2, (Y2^-1 * R)^2, (R * Y3)^2, (Y2^-1 * Y1 * Y2^-1)^2, Y2 * Y1 * Y3 * Y1 * Y3 * Y2, Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2^-1 * Y1 ]
Map:: non-degenerate
	R = (1, 33, 2, 34)(3, 35, 9, 41)(4, 36, 12, 44)(5, 37, 14, 46)(6, 38, 15, 47)(7, 39, 18, 50)(8, 40, 20, 52)(10, 42, 16, 48)(11, 43, 24, 56)(13, 45, 22, 54)(17, 49, 28, 60)(19, 51, 26, 58)(21, 53, 27, 59)(23, 55, 25, 57)(29, 61, 31, 63)(30, 62, 32, 64)(65, 97, 67, 99, 74, 106, 69, 101)(66, 98, 70, 102, 80, 112, 72, 104)(68, 100, 75, 107, 82, 114, 77, 109)(71, 103, 81, 113, 76, 108, 83, 115)(73, 105, 85, 117, 78, 110, 87, 119)(79, 111, 89, 121, 84, 116, 91, 123)(86, 118, 93, 125, 88, 120, 94, 126)(90, 122, 95, 127, 92, 124, 96, 128)
	L = (1, 68)(2, 71)(3, 75)(4, 65)(5, 77)(6, 81)(7, 66)(8, 83)(9, 86)(10, 82)(11, 67)(12, 80)(13, 69)(14, 88)(15, 90)(16, 76)(17, 70)(18, 74)(19, 72)(20, 92)(21, 93)(22, 73)(23, 94)(24, 78)(25, 95)(26, 79)(27, 96)(28, 84)(29, 85)(30, 87)(31, 89)(32, 91)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 8^4 ), ( 8^8 ) }
Outer automorphisms :: reflexible
Dual of E13.518
Graph:: simple bipartite
	v = 24 e = 64 f = 16
	degree seq :: [ 4^16, 8^8 ]

E13.517 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 4, 4})
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 :: [ Y1^2, R^2, Y2^4, Y3^-2 * Y2^-2, Y3 * Y1 * Y3^-1 * Y1, Y3 * Y2^-1 * Y3^-1 * Y2^-1, (R * Y3)^2, R * Y2 * R * Y2^-1, (R * Y1)^2, Y3 * Y2 * Y3 * Y2^-1, (Y2^-1 * Y1 * Y2^-1)^2, Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2^-1 * Y1 ]
Map:: non-degenerate
	R = (1, 33, 2, 34)(3, 35, 11, 43)(4, 36, 8, 40)(5, 37, 15, 47)(6, 38, 10, 42)(7, 39, 16, 48)(9, 41, 20, 52)(12, 44, 17, 49)(13, 45, 22, 54)(14, 46, 24, 56)(18, 50, 26, 58)(19, 51, 28, 60)(21, 53, 27, 59)(23, 55, 25, 57)(29, 61, 32, 64)(30, 62, 31, 63)(65, 97, 67, 99, 76, 108, 69, 101)(66, 98, 71, 103, 81, 113, 73, 105)(68, 100, 78, 110, 70, 102, 77, 109)(72, 104, 83, 115, 74, 106, 82, 114)(75, 107, 85, 117, 79, 111, 87, 119)(80, 112, 89, 121, 84, 116, 91, 123)(86, 118, 94, 126, 88, 120, 93, 125)(90, 122, 96, 128, 92, 124, 95, 127)
	L = (1, 68)(2, 72)(3, 77)(4, 76)(5, 78)(6, 65)(7, 82)(8, 81)(9, 83)(10, 66)(11, 86)(12, 70)(13, 69)(14, 67)(15, 88)(16, 90)(17, 74)(18, 73)(19, 71)(20, 92)(21, 93)(22, 79)(23, 94)(24, 75)(25, 95)(26, 84)(27, 96)(28, 80)(29, 87)(30, 85)(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) :: { ( 8^4 ), ( 8^8 ) }
Outer automorphisms :: reflexible
Dual of E13.519
Graph:: simple bipartite
	v = 24 e = 64 f = 16
	degree seq :: [ 4^16, 8^8 ]

E13.518 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 4, 4})
Quotient :: dipole
Aut^+ = (C2 x Q8) : C2 (small group id <32, 44>)
Aut   = (C2 x (C8 : C2)) : C2 (small group id <64, 256>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y1^4, Y2^-2 * Y1^2, Y3 * Y2 * Y3 * Y2^-1, (R * Y1)^2, (R * Y3)^2, Y2^-1 * Y1^-2 * Y2^-1, (Y1^-1 * Y3)^2, (R * Y2)^2, Y2^-1 * Y1^-1 * Y2 * Y1 * Y2 * Y1^-1 * Y2^-1 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 7, 39, 5, 37)(3, 35, 11, 43, 6, 38, 13, 45)(4, 36, 14, 46, 16, 48, 9, 41)(8, 40, 17, 49, 10, 42, 19, 51)(12, 44, 24, 56, 15, 47, 22, 54)(18, 50, 28, 60, 20, 52, 26, 58)(21, 53, 27, 59, 23, 55, 25, 57)(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, 76, 108, 80, 112, 79, 111)(73, 105, 82, 114, 78, 110, 84, 116)(75, 107, 85, 117, 77, 109, 87, 119)(81, 113, 89, 121, 83, 115, 91, 123)(86, 118, 93, 125, 88, 120, 94, 126)(90, 122, 95, 127, 92, 124, 96, 128)
	L = (1, 68)(2, 73)(3, 76)(4, 65)(5, 78)(6, 79)(7, 80)(8, 82)(9, 66)(10, 84)(11, 86)(12, 67)(13, 88)(14, 69)(15, 70)(16, 71)(17, 90)(18, 72)(19, 92)(20, 74)(21, 93)(22, 75)(23, 94)(24, 77)(25, 95)(26, 81)(27, 96)(28, 83)(29, 85)(30, 87)(31, 89)(32, 91)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E13.516
Graph:: bipartite
	v = 16 e = 64 f = 24
	degree seq :: [ 8^16 ]

E13.519 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 4, 4})
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, Y1^-2 * Y2^2, R * Y2 * R * Y2^-1, Y1^4, Y2^-1 * Y3^-2 * Y2^-1, Y1^-1 * Y3^-2 * Y1^-1, (R * Y3)^2, Y3 * Y2 * Y3 * Y2^-1, (R * Y1)^2, Y2^-1 * Y1^-2 * Y2^-1, (Y3^-1 * Y1^-1)^2, (Y3 * Y1^-1)^2, Y2^-1 * Y1^-1 * Y2 * Y1 * Y2 * Y1^-1 * Y2^-1 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 8, 40, 5, 37)(3, 35, 13, 45, 6, 38, 15, 47)(4, 36, 10, 42, 7, 39, 12, 44)(9, 41, 17, 49, 11, 43, 19, 51)(14, 46, 22, 54, 16, 48, 24, 56)(18, 50, 26, 58, 20, 52, 28, 60)(21, 53, 27, 59, 23, 55, 25, 57)(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, 80, 112, 71, 103, 78, 110)(74, 106, 84, 116, 76, 108, 82, 114)(77, 109, 85, 117, 79, 111, 87, 119)(81, 113, 89, 121, 83, 115, 91, 123)(86, 118, 94, 126, 88, 120, 93, 125)(90, 122, 96, 128, 92, 124, 95, 127)
	L = (1, 68)(2, 74)(3, 78)(4, 72)(5, 76)(6, 80)(7, 65)(8, 71)(9, 82)(10, 69)(11, 84)(12, 66)(13, 86)(14, 70)(15, 88)(16, 67)(17, 90)(18, 75)(19, 92)(20, 73)(21, 93)(22, 79)(23, 94)(24, 77)(25, 95)(26, 83)(27, 96)(28, 81)(29, 87)(30, 85)(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) :: { ( 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E13.517
Graph:: bipartite
	v = 16 e = 64 f = 24
	degree seq :: [ 8^16 ]

E13.520 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 8, 8})
Quotient :: halfedge^2
Aut^+ = (C8 x C2) : C2 (small group id <32, 5>)
Aut   = (C2 x C2 x D8) : C2 (small group id <64, 128>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, Y3 * Y2, (R * Y1)^2, R * Y2 * R * Y3, Y2 * Y1^2 * Y2 * Y1^-2, (Y2 * Y1^-1 * Y2 * Y1)^2, Y1^8 ]
Map::
	R = (1, 34, 2, 37, 5, 43, 11, 52, 20, 51, 19, 42, 10, 36, 4, 33)(3, 39, 7, 44, 12, 54, 22, 60, 28, 58, 26, 49, 17, 40, 8, 35)(6, 45, 13, 53, 21, 61, 29, 59, 27, 50, 18, 41, 9, 46, 14, 38)(15, 55, 23, 62, 30, 64, 32, 63, 31, 57, 25, 48, 16, 56, 24, 47)
	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, 28)(22, 30)(26, 31)(29, 32)(33, 35)(34, 38)(36, 41)(37, 44)(39, 47)(40, 48)(42, 49)(43, 53)(45, 55)(46, 56)(50, 57)(51, 59)(52, 60)(54, 62)(58, 63)(61, 64)
	local type(s) :: { ( 16^16 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+ AT
Graph:: bipartite
	v = 4 e = 32 f = 4
	degree seq :: [ 16^4 ]

E13.521 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 8, 8})
Quotient :: halfedge^2
Aut^+ = (C8 x C2) : C2 (small group id <32, 9>)
Aut   = (C2 x C2 x D8) : C2 (small group id <64, 128>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, Y3 * Y2, (R * Y1)^2, R * Y3 * R * Y2, (Y1^-1 * Y2 * Y1^-1)^2, (Y2 * Y1^-1)^4, Y1^8 ]
Map::
	R = (1, 34, 2, 37, 5, 43, 11, 52, 20, 51, 19, 42, 10, 36, 4, 33)(3, 39, 7, 47, 15, 57, 25, 60, 28, 54, 22, 44, 12, 40, 8, 35)(6, 45, 13, 41, 9, 50, 18, 59, 27, 61, 29, 53, 21, 46, 14, 38)(16, 55, 23, 49, 17, 56, 24, 62, 30, 64, 32, 63, 31, 58, 26, 48)
	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, 28)(22, 30)(25, 31)(29, 32)(33, 35)(34, 38)(36, 41)(37, 44)(39, 48)(40, 49)(42, 47)(43, 53)(45, 55)(46, 56)(50, 58)(51, 59)(52, 60)(54, 62)(57, 63)(61, 64)
	local type(s) :: { ( 16^16 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+ AT
Graph:: bipartite
	v = 4 e = 32 f = 4
	degree seq :: [ 16^4 ]

E13.522 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 8, 8})
Quotient :: halfedge^2
Aut^+ = (C8 x C2) : C2 (small group id <32, 9>)
Aut   = (C2 x C2 x D8) : C2 (small group id <64, 128>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, (Y3 * Y2)^2, R * Y3 * R * Y2, (R * Y1)^2, (Y2 * Y1^-2)^2, Y1^-2 * Y2 * Y3 * Y1^-2, Y3 * Y1 * Y3 * Y2 * Y1^-1 * Y2, Y2 * Y1 * Y3 * Y1^-1 * Y2 * Y1 * Y2 * Y1^-1, (Y2 * Y1)^4 ]
Map:: non-degenerate
	R = (1, 34, 2, 38, 6, 49, 17, 42, 10, 53, 21, 48, 16, 37, 5, 33)(3, 41, 9, 51, 19, 45, 13, 36, 4, 44, 12, 50, 18, 43, 11, 35)(7, 52, 20, 46, 14, 56, 24, 40, 8, 55, 23, 47, 15, 54, 22, 39)(25, 61, 29, 59, 27, 63, 31, 58, 26, 62, 30, 60, 28, 64, 32, 57)
	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, 36)(34, 40)(35, 42)(37, 47)(38, 51)(39, 53)(41, 58)(43, 60)(44, 57)(45, 59)(46, 49)(48, 50)(52, 62)(54, 64)(55, 61)(56, 63)
	local type(s) :: { ( 16^16 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+ AT
Graph:: bipartite
	v = 4 e = 32 f = 4
	degree seq :: [ 16^4 ]

E13.523 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 8, 8})
Quotient :: halfedge^2
Aut^+ = (C8 x C2) : C2 (small group id <32, 5>)
Aut   = (C2 x D16) : C2 (small group id <64, 130>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, (Y2 * Y3)^2, R * Y3 * R * Y2, (R * Y1)^2, Y1^-3 * Y3 * Y2 * Y1^-1, Y3 * Y1 * Y2 * Y3 * Y1^-1 * Y2, Y1^-1 * Y3 * Y1^2 * Y3 * Y1^-1, Y1 * Y2 * Y1^-2 * Y2 * Y1, (Y3 * Y1 * Y2 * Y1^-1)^2, (Y2 * Y1^-1 * Y2 * Y1)^2 ]
Map:: non-degenerate
	R = (1, 34, 2, 38, 6, 49, 17, 42, 10, 53, 21, 48, 16, 37, 5, 33)(3, 41, 9, 50, 18, 45, 13, 36, 4, 44, 12, 51, 19, 43, 11, 35)(7, 52, 20, 47, 15, 56, 24, 40, 8, 55, 23, 46, 14, 54, 22, 39)(25, 61, 29, 60, 28, 64, 32, 58, 26, 62, 30, 59, 27, 63, 31, 57)
	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, 36)(34, 40)(35, 42)(37, 47)(38, 51)(39, 53)(41, 58)(43, 60)(44, 57)(45, 59)(46, 49)(48, 50)(52, 62)(54, 64)(55, 61)(56, 63)
	local type(s) :: { ( 16^16 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+ AT
Graph:: bipartite
	v = 4 e = 32 f = 4
	degree seq :: [ 16^4 ]

E13.524 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 8, 8})
Quotient :: edge^2
Aut^+ = (C8 x C2) : C2 (small group id <32, 5>)
Aut   = (C2 x C2 x D8) : C2 (small group id <64, 128>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y1 * Y2, (R * Y3)^2, R * Y1 * R * Y2, Y3^2 * Y2 * Y3^-2 * Y1, (Y3 * Y1 * Y3^-1 * Y1)^2, Y3^8 ]
Map::
	R = (1, 33, 3, 35, 8, 40, 17, 49, 26, 58, 19, 51, 10, 42, 4, 36)(2, 34, 5, 37, 12, 44, 22, 54, 29, 61, 24, 56, 14, 46, 6, 38)(7, 39, 15, 47, 25, 57, 31, 63, 27, 59, 18, 50, 9, 41, 16, 48)(11, 43, 20, 52, 28, 60, 32, 64, 30, 62, 23, 55, 13, 45, 21, 53)(65, 66)(67, 71)(68, 73)(69, 75)(70, 77)(72, 76)(74, 78)(79, 84)(80, 85)(81, 89)(82, 87)(83, 91)(86, 92)(88, 94)(90, 93)(95, 96)(97, 98)(99, 103)(100, 105)(101, 107)(102, 109)(104, 108)(106, 110)(111, 116)(112, 117)(113, 121)(114, 119)(115, 123)(118, 124)(120, 126)(122, 125)(127, 128)
	L = (1, 65)(2, 66)(3, 67)(4, 68)(5, 69)(6, 70)(7, 71)(8, 72)(9, 73)(10, 74)(11, 75)(12, 76)(13, 77)(14, 78)(15, 79)(16, 80)(17, 81)(18, 82)(19, 83)(20, 84)(21, 85)(22, 86)(23, 87)(24, 88)(25, 89)(26, 90)(27, 91)(28, 92)(29, 93)(30, 94)(31, 95)(32, 96)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 32, 32 ), ( 32^16 ) }
Outer automorphisms :: reflexible
Dual of E13.534
Graph:: simple bipartite
	v = 36 e = 64 f = 4
	degree seq :: [ 2^32, 16^4 ]

E13.525 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 8, 8})
Quotient :: edge^2
Aut^+ = (C8 x C2) : C2 (small group id <32, 9>)
Aut   = (C2 x C2 x D8) : C2 (small group id <64, 128>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y2 * Y1, (R * Y3)^2, R * Y1 * R * Y2, (Y3^-1 * Y1 * Y3^-1)^2, (Y3 * Y1)^4, Y3^8 ]
Map::
	R = (1, 33, 3, 35, 8, 40, 17, 49, 26, 58, 19, 51, 10, 42, 4, 36)(2, 34, 5, 37, 12, 44, 22, 54, 29, 61, 24, 56, 14, 46, 6, 38)(7, 39, 15, 47, 9, 41, 18, 50, 27, 59, 31, 63, 25, 57, 16, 48)(11, 43, 20, 52, 13, 45, 23, 55, 30, 62, 32, 64, 28, 60, 21, 53)(65, 66)(67, 71)(68, 73)(69, 75)(70, 77)(72, 78)(74, 76)(79, 84)(80, 87)(81, 89)(82, 85)(83, 91)(86, 92)(88, 94)(90, 93)(95, 96)(97, 98)(99, 103)(100, 105)(101, 107)(102, 109)(104, 110)(106, 108)(111, 116)(112, 119)(113, 121)(114, 117)(115, 123)(118, 124)(120, 126)(122, 125)(127, 128)
	L = (1, 65)(2, 66)(3, 67)(4, 68)(5, 69)(6, 70)(7, 71)(8, 72)(9, 73)(10, 74)(11, 75)(12, 76)(13, 77)(14, 78)(15, 79)(16, 80)(17, 81)(18, 82)(19, 83)(20, 84)(21, 85)(22, 86)(23, 87)(24, 88)(25, 89)(26, 90)(27, 91)(28, 92)(29, 93)(30, 94)(31, 95)(32, 96)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 32, 32 ), ( 32^16 ) }
Outer automorphisms :: reflexible
Dual of E13.535
Graph:: simple bipartite
	v = 36 e = 64 f = 4
	degree seq :: [ 2^32, 16^4 ]

E13.526 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 8, 8})
Quotient :: edge^2
Aut^+ = (C8 x C2) : C2 (small group id <32, 9>)
Aut   = (C2 x C2 x D8) : C2 (small group id <64, 128>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, (Y2 * Y1)^2, (R * Y3)^2, R * Y2 * R * Y1, 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^-1 * Y2 * Y3 * Y2 * Y3^-1 * Y2 * Y3 * Y1, Y3^-1 * Y2 * Y3^-1 * Y2 * Y3^-1 * Y1 * Y3^-1 * Y1 ]
Map::
	R = (1, 33, 4, 36, 13, 45, 18, 50, 6, 38, 17, 49, 16, 48, 5, 37)(2, 34, 7, 39, 21, 53, 10, 42, 3, 35, 9, 41, 24, 56, 8, 40)(11, 43, 25, 57, 14, 46, 28, 60, 12, 44, 27, 59, 15, 47, 26, 58)(19, 51, 29, 61, 22, 54, 32, 64, 20, 52, 31, 63, 23, 55, 30, 62)(65, 66)(67, 70)(68, 75)(69, 78)(71, 83)(72, 86)(73, 84)(74, 87)(76, 81)(77, 88)(79, 82)(80, 85)(89, 93)(90, 96)(91, 95)(92, 94)(97, 99)(98, 102)(100, 108)(101, 111)(103, 116)(104, 119)(105, 115)(106, 118)(107, 113)(109, 117)(110, 114)(112, 120)(121, 127)(122, 126)(123, 125)(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, 32 ), ( 32^16 ) }
Outer automorphisms :: reflexible
Dual of E13.536
Graph:: simple bipartite
	v = 36 e = 64 f = 4
	degree seq :: [ 2^32, 16^4 ]

E13.527 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 8, 8})
Quotient :: edge^2
Aut^+ = (C8 x C2) : C2 (small group id <32, 5>)
Aut   = (C2 x D16) : C2 (small group id <64, 130>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, (Y2 * Y1)^2, (R * Y3)^2, R * Y2 * R * Y1, Y2 * Y3^-1 * Y2 * Y1 * Y3 * Y1, Y1 * Y2 * Y3^4, Y3^-1 * Y1 * Y3^-2 * Y2 * Y3^-1, Y3^-1 * Y2 * Y3^2 * Y2 * Y3^-1, Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y2 * Y3^-1 * Y1 ]
Map::
	R = (1, 33, 4, 36, 13, 45, 18, 50, 6, 38, 17, 49, 16, 48, 5, 37)(2, 34, 7, 39, 21, 53, 10, 42, 3, 35, 9, 41, 24, 56, 8, 40)(11, 43, 25, 57, 15, 47, 28, 60, 12, 44, 27, 59, 14, 46, 26, 58)(19, 51, 29, 61, 23, 55, 32, 64, 20, 52, 31, 63, 22, 54, 30, 62)(65, 66)(67, 70)(68, 75)(69, 78)(71, 83)(72, 86)(73, 84)(74, 87)(76, 81)(77, 85)(79, 82)(80, 88)(89, 93)(90, 94)(91, 95)(92, 96)(97, 99)(98, 102)(100, 108)(101, 111)(103, 116)(104, 119)(105, 115)(106, 118)(107, 113)(109, 120)(110, 114)(112, 117)(121, 127)(122, 128)(123, 125)(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, 32 ), ( 32^16 ) }
Outer automorphisms :: reflexible
Dual of E13.537
Graph:: simple bipartite
	v = 36 e = 64 f = 4
	degree seq :: [ 2^32, 16^4 ]

E13.528 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 8, 8})
Quotient :: edge^2
Aut^+ = (C8 x C2) : C2 (small group id <32, 5>)
Aut   = C2 x ((C8 x C2) : C2) (small group id <64, 87>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y1^-1 * Y2^-1, (R * Y3)^2, R * Y1 * R * Y2, Y3 * Y2^2 * Y3 * Y2^-2, Y2 * Y3 * Y1 * Y2^-1 * Y3 * Y1^-1, Y3 * Y1^2 * Y3 * Y1^-2, Y3 * Y2 * Y3 * Y1 * Y3 * Y2^-1 * Y3 * Y1^-1, Y2^8, Y1^8 ]
Map:: non-degenerate
	R = (1, 33, 4, 36)(2, 34, 6, 38)(3, 35, 8, 40)(5, 37, 12, 44)(7, 39, 16, 48)(9, 41, 18, 50)(10, 42, 19, 51)(11, 43, 21, 53)(13, 45, 23, 55)(14, 46, 24, 56)(15, 47, 25, 57)(17, 49, 27, 59)(20, 52, 28, 60)(22, 54, 30, 62)(26, 58, 31, 63)(29, 61, 32, 64)(65, 66, 69, 75, 84, 79, 71, 67)(68, 73, 76, 86, 92, 90, 80, 74)(70, 77, 85, 93, 89, 81, 72, 78)(82, 87, 94, 96, 95, 91, 83, 88)(97, 99, 103, 111, 116, 107, 101, 98)(100, 106, 112, 122, 124, 118, 108, 105)(102, 110, 104, 113, 121, 125, 117, 109)(114, 120, 115, 123, 127, 128, 126, 119)
	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) :: { ( 8^4 ), ( 8^8 ) }
Outer automorphisms :: reflexible
Dual of E13.538
Graph:: simple bipartite
	v = 24 e = 64 f = 16
	degree seq :: [ 4^16, 8^8 ]

E13.529 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 8, 8})
Quotient :: edge^2
Aut^+ = (C8 x C2) : C2 (small group id <32, 5>)
Aut   = (C2 x (C8 : C2)) : C2 (small group id <64, 88>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2^-2 * Y1^-2, (Y2^-1, Y1^-1), Y2^2 * Y1^-1 * Y2, (Y2 * Y1)^2, (R * Y3)^2, R * Y1 * R * Y2, Y1^-1 * Y3 * Y1 * Y2 * Y3 * Y2^-1, Y3 * Y2^-1 * Y1 * Y3 * Y2 * Y1^-1, Y3 * Y1^2 * Y3 * Y1^-2, (Y2^-1 * Y3 * Y1^-1)^2, Y3 * Y2^-1 * Y3 * Y1 * Y3 * Y1^-1 * Y3 * Y2 ]
Map:: polytopal non-degenerate
	R = (1, 33, 4, 36)(2, 34, 9, 41)(3, 35, 11, 43)(5, 37, 16, 48)(6, 38, 17, 49)(7, 39, 18, 50)(8, 40, 19, 51)(10, 42, 24, 56)(12, 44, 25, 57)(13, 45, 26, 58)(14, 46, 27, 59)(15, 47, 28, 60)(20, 52, 29, 61)(21, 53, 30, 62)(22, 54, 31, 63)(23, 55, 32, 64)(65, 66, 71, 67, 72, 70, 74, 69)(68, 76, 82, 77, 83, 79, 88, 78)(73, 84, 75, 85, 81, 87, 80, 86)(89, 93, 90, 94, 92, 96, 91, 95)(97, 99, 106, 98, 104, 101, 103, 102)(100, 109, 120, 108, 115, 110, 114, 111)(105, 117, 112, 116, 113, 118, 107, 119)(121, 126, 123, 125, 124, 127, 122, 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) :: { ( 8^4 ), ( 8^8 ) }
Outer automorphisms :: reflexible
Dual of E13.539
Graph:: simple bipartite
	v = 24 e = 64 f = 16
	degree seq :: [ 4^16, 8^8 ]

E13.530 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 8, 8})
Quotient :: edge^2
Aut^+ = C2 x D16 (small group id <32, 39>)
Aut   = (C2 x C2 x D8) : C2 (small group id <64, 128>)
|r| :: 2
Presentation :: [ R^2, Y3^2, (Y2^-1 * Y1^-1)^2, R * Y1 * R * Y2, (R * Y3)^2, Y1^-2 * Y2^-2, (Y3 * Y1^-1)^2, (Y3 * Y2^-1)^2, (Y3 * Y1 * Y2^-1)^2, Y2^-2 * Y1^6 ]
Map:: polytopal non-degenerate
	R = (1, 33, 4, 36)(2, 34, 9, 41)(3, 35, 12, 44)(5, 37, 14, 46)(6, 38, 15, 47)(7, 39, 17, 49)(8, 40, 19, 51)(10, 42, 20, 52)(11, 43, 22, 54)(13, 45, 24, 56)(16, 48, 26, 58)(18, 50, 28, 60)(21, 53, 29, 61)(23, 55, 30, 62)(25, 57, 31, 63)(27, 59, 32, 64)(65, 66, 71, 80, 89, 87, 75, 69)(67, 72, 70, 74, 82, 91, 85, 77)(68, 78, 86, 94, 95, 90, 81, 73)(76, 88, 93, 96, 92, 84, 79, 83)(97, 99, 107, 117, 121, 114, 103, 102)(98, 104, 101, 109, 119, 123, 112, 106)(100, 111, 113, 124, 127, 125, 118, 108)(105, 116, 122, 128, 126, 120, 110, 115)
	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) :: { ( 8^4 ), ( 8^8 ) }
Outer automorphisms :: reflexible
Dual of E13.540
Graph:: simple bipartite
	v = 24 e = 64 f = 16
	degree seq :: [ 4^16, 8^8 ]

E13.531 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 8, 8})
Quotient :: edge^2
Aut^+ = (C8 x C2) : C2 (small group id <32, 9>)
Aut   = (C2 x C2 x D8) : C2 (small group id <64, 128>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2^-2 * Y1^-2, R * Y1 * R * Y2, (R * Y3)^2, (Y2^-1, Y1^-1), Y3 * Y1 * Y3 * Y2^-1, Y1^8, Y2^8 ]
Map:: polytopal non-degenerate
	R = (1, 33, 4, 36)(2, 34, 9, 41)(3, 35, 12, 44)(5, 37, 15, 47)(6, 38, 14, 46)(7, 39, 17, 49)(8, 40, 19, 51)(10, 42, 20, 52)(11, 43, 22, 54)(13, 45, 24, 56)(16, 48, 26, 58)(18, 50, 28, 60)(21, 53, 29, 61)(23, 55, 30, 62)(25, 57, 31, 63)(27, 59, 32, 64)(65, 66, 71, 80, 89, 87, 75, 69)(67, 72, 70, 74, 82, 91, 85, 77)(68, 76, 86, 93, 95, 92, 81, 78)(73, 83, 79, 88, 94, 96, 90, 84)(97, 99, 107, 117, 121, 114, 103, 102)(98, 104, 101, 109, 119, 123, 112, 106)(100, 105, 113, 122, 127, 126, 118, 111)(108, 115, 110, 116, 124, 128, 125, 120)
	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) :: { ( 8^4 ), ( 8^8 ) }
Outer automorphisms :: reflexible
Dual of E13.541
Graph:: simple bipartite
	v = 24 e = 64 f = 16
	degree seq :: [ 4^16, 8^8 ]

E13.532 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 8, 8})
Quotient :: edge^2
Aut^+ = C2 x QD16 (small group id <32, 40>)
Aut   = (C2 x QD16) : C2 (small group id <64, 131>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y1^-2 * Y2^-2, (R * Y3)^2, R * Y1 * R * Y2, (Y2^-1, Y1^-1), Y3 * Y2^-2 * Y1 * Y3 * Y1^-1, (Y3 * Y1^-2)^2, (Y3 * Y2^-1 * Y1^-1)^2, Y3 * Y2^-1 * Y1 * Y3 * Y1 * Y2^-1, Y1^-1 * Y2 * Y3 * Y2^-1 * Y3 * Y1^-1, Y3 * Y1^-1 * Y2^-1 * Y3 * Y2 * Y1, Y2^8 ]
Map:: polytopal non-degenerate
	R = (1, 33, 4, 36)(2, 34, 9, 41)(3, 35, 12, 44)(5, 37, 18, 50)(6, 38, 19, 51)(7, 39, 21, 53)(8, 40, 23, 55)(10, 42, 28, 60)(11, 43, 26, 58)(13, 45, 25, 57)(14, 46, 20, 52)(15, 47, 29, 61)(16, 48, 30, 62)(17, 49, 22, 54)(24, 56, 31, 63)(27, 59, 32, 64)(65, 66, 71, 84, 95, 94, 75, 69)(67, 72, 70, 74, 86, 96, 93, 77)(68, 78, 90, 73, 88, 82, 85, 80)(76, 92, 79, 87, 81, 89, 83, 91)(97, 99, 107, 125, 127, 118, 103, 102)(98, 104, 101, 109, 126, 128, 116, 106)(100, 111, 117, 108, 120, 115, 122, 113)(105, 121, 110, 119, 112, 124, 114, 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) :: { ( 8^4 ), ( 8^8 ) }
Outer automorphisms :: reflexible
Dual of E13.542
Graph:: simple bipartite
	v = 24 e = 64 f = 16
	degree seq :: [ 4^16, 8^8 ]

E13.533 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 8, 8})
Quotient :: edge^2
Aut^+ = (C8 x C2) : C2 (small group id <32, 9>)
Aut   = (C2 x QD16) : C2 (small group id <64, 131>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2^-2 * Y1^-2, (R * Y3)^2, (Y2^-1, Y1^-1), R * Y1 * R * Y2, Y3 * Y2^-3 * Y3 * Y1^-1, Y2 * Y3 * Y2 * Y1^-1 * Y3 * Y1^-1, (Y3 * Y2 * Y1)^2, Y1^-1 * Y3 * Y2^2 * Y3 * Y1^-1, (Y1^-1 * Y3 * Y2^-1)^2, Y1^8, (Y3 * Y1 * Y3 * Y2^-1)^2 ]
Map:: polytopal non-degenerate
	R = (1, 33, 4, 36)(2, 34, 9, 41)(3, 35, 12, 44)(5, 37, 18, 50)(6, 38, 19, 51)(7, 39, 21, 53)(8, 40, 23, 55)(10, 42, 28, 60)(11, 43, 25, 57)(13, 45, 26, 58)(14, 46, 22, 54)(15, 47, 30, 62)(16, 48, 29, 61)(17, 49, 20, 52)(24, 56, 32, 64)(27, 59, 31, 63)(65, 66, 71, 84, 95, 94, 75, 69)(67, 72, 70, 74, 86, 96, 93, 77)(68, 78, 89, 83, 91, 76, 85, 80)(73, 88, 82, 92, 79, 87, 81, 90)(97, 99, 107, 125, 127, 118, 103, 102)(98, 104, 101, 109, 126, 128, 116, 106)(100, 111, 117, 114, 123, 105, 121, 113)(108, 120, 115, 122, 110, 119, 112, 124)
	L = (1, 65)(2, 66)(3, 67)(4, 68)(5, 69)(6, 70)(7, 71)(8, 72)(9, 73)(10, 74)(11, 75)(12, 76)(13, 77)(14, 78)(15, 79)(16, 80)(17, 81)(18, 82)(19, 83)(20, 84)(21, 85)(22, 86)(23, 87)(24, 88)(25, 89)(26, 90)(27, 91)(28, 92)(29, 93)(30, 94)(31, 95)(32, 96)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 8^4 ), ( 8^8 ) }
Outer automorphisms :: reflexible
Dual of E13.543
Graph:: simple bipartite
	v = 24 e = 64 f = 16
	degree seq :: [ 4^16, 8^8 ]

E13.534 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 8, 8})
Quotient :: loop^2
Aut^+ = (C8 x C2) : C2 (small group id <32, 5>)
Aut   = (C2 x C2 x D8) : C2 (small group id <64, 128>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y1 * Y2, (R * Y3)^2, R * Y1 * R * Y2, Y3^2 * Y2 * Y3^-2 * Y1, (Y3 * Y1 * Y3^-1 * Y1)^2, Y3^8 ]
Map::
	R = (1, 33, 65, 97, 3, 35, 67, 99, 8, 40, 72, 104, 17, 49, 81, 113, 26, 58, 90, 122, 19, 51, 83, 115, 10, 42, 74, 106, 4, 36, 68, 100)(2, 34, 66, 98, 5, 37, 69, 101, 12, 44, 76, 108, 22, 54, 86, 118, 29, 61, 93, 125, 24, 56, 88, 120, 14, 46, 78, 110, 6, 38, 70, 102)(7, 39, 71, 103, 15, 47, 79, 111, 25, 57, 89, 121, 31, 63, 95, 127, 27, 59, 91, 123, 18, 50, 82, 114, 9, 41, 73, 105, 16, 48, 80, 112)(11, 43, 75, 107, 20, 52, 84, 116, 28, 60, 92, 124, 32, 64, 96, 128, 30, 62, 94, 126, 23, 55, 87, 119, 13, 45, 77, 109, 21, 53, 85, 117)
	L = (1, 34)(2, 33)(3, 39)(4, 41)(5, 43)(6, 45)(7, 35)(8, 44)(9, 36)(10, 46)(11, 37)(12, 40)(13, 38)(14, 42)(15, 52)(16, 53)(17, 57)(18, 55)(19, 59)(20, 47)(21, 48)(22, 60)(23, 50)(24, 62)(25, 49)(26, 61)(27, 51)(28, 54)(29, 58)(30, 56)(31, 64)(32, 63)(65, 98)(66, 97)(67, 103)(68, 105)(69, 107)(70, 109)(71, 99)(72, 108)(73, 100)(74, 110)(75, 101)(76, 104)(77, 102)(78, 106)(79, 116)(80, 117)(81, 121)(82, 119)(83, 123)(84, 111)(85, 112)(86, 124)(87, 114)(88, 126)(89, 113)(90, 125)(91, 115)(92, 118)(93, 122)(94, 120)(95, 128)(96, 127)
	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 E13.524
Transitivity :: VT+
Graph:: bipartite
	v = 4 e = 64 f = 36
	degree seq :: [ 32^4 ]

E13.535 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 8, 8})
Quotient :: loop^2
Aut^+ = (C8 x C2) : C2 (small group id <32, 9>)
Aut   = (C2 x C2 x D8) : C2 (small group id <64, 128>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y2 * Y1, (R * Y3)^2, R * Y1 * R * Y2, (Y3^-1 * Y1 * Y3^-1)^2, (Y3 * Y1)^4, Y3^8 ]
Map::
	R = (1, 33, 65, 97, 3, 35, 67, 99, 8, 40, 72, 104, 17, 49, 81, 113, 26, 58, 90, 122, 19, 51, 83, 115, 10, 42, 74, 106, 4, 36, 68, 100)(2, 34, 66, 98, 5, 37, 69, 101, 12, 44, 76, 108, 22, 54, 86, 118, 29, 61, 93, 125, 24, 56, 88, 120, 14, 46, 78, 110, 6, 38, 70, 102)(7, 39, 71, 103, 15, 47, 79, 111, 9, 41, 73, 105, 18, 50, 82, 114, 27, 59, 91, 123, 31, 63, 95, 127, 25, 57, 89, 121, 16, 48, 80, 112)(11, 43, 75, 107, 20, 52, 84, 116, 13, 45, 77, 109, 23, 55, 87, 119, 30, 62, 94, 126, 32, 64, 96, 128, 28, 60, 92, 124, 21, 53, 85, 117)
	L = (1, 34)(2, 33)(3, 39)(4, 41)(5, 43)(6, 45)(7, 35)(8, 46)(9, 36)(10, 44)(11, 37)(12, 42)(13, 38)(14, 40)(15, 52)(16, 55)(17, 57)(18, 53)(19, 59)(20, 47)(21, 50)(22, 60)(23, 48)(24, 62)(25, 49)(26, 61)(27, 51)(28, 54)(29, 58)(30, 56)(31, 64)(32, 63)(65, 98)(66, 97)(67, 103)(68, 105)(69, 107)(70, 109)(71, 99)(72, 110)(73, 100)(74, 108)(75, 101)(76, 106)(77, 102)(78, 104)(79, 116)(80, 119)(81, 121)(82, 117)(83, 123)(84, 111)(85, 114)(86, 124)(87, 112)(88, 126)(89, 113)(90, 125)(91, 115)(92, 118)(93, 122)(94, 120)(95, 128)(96, 127)
	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 E13.525
Transitivity :: VT+
Graph:: bipartite
	v = 4 e = 64 f = 36
	degree seq :: [ 32^4 ]

E13.536 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 8, 8})
Quotient :: loop^2
Aut^+ = (C8 x C2) : C2 (small group id <32, 9>)
Aut   = (C2 x C2 x D8) : C2 (small group id <64, 128>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, (Y2 * Y1)^2, (R * Y3)^2, R * Y2 * R * Y1, 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^-1 * Y2 * Y3 * Y2 * Y3^-1 * Y2 * Y3 * Y1, Y3^-1 * Y2 * Y3^-1 * Y2 * Y3^-1 * Y1 * Y3^-1 * Y1 ]
Map::
	R = (1, 33, 65, 97, 4, 36, 68, 100, 13, 45, 77, 109, 18, 50, 82, 114, 6, 38, 70, 102, 17, 49, 81, 113, 16, 48, 80, 112, 5, 37, 69, 101)(2, 34, 66, 98, 7, 39, 71, 103, 21, 53, 85, 117, 10, 42, 74, 106, 3, 35, 67, 99, 9, 41, 73, 105, 24, 56, 88, 120, 8, 40, 72, 104)(11, 43, 75, 107, 25, 57, 89, 121, 14, 46, 78, 110, 28, 60, 92, 124, 12, 44, 76, 108, 27, 59, 91, 123, 15, 47, 79, 111, 26, 58, 90, 122)(19, 51, 83, 115, 29, 61, 93, 125, 22, 54, 86, 118, 32, 64, 96, 128, 20, 52, 84, 116, 31, 63, 95, 127, 23, 55, 87, 119, 30, 62, 94, 126)
	L = (1, 34)(2, 33)(3, 38)(4, 43)(5, 46)(6, 35)(7, 51)(8, 54)(9, 52)(10, 55)(11, 36)(12, 49)(13, 56)(14, 37)(15, 50)(16, 53)(17, 44)(18, 47)(19, 39)(20, 41)(21, 48)(22, 40)(23, 42)(24, 45)(25, 61)(26, 64)(27, 63)(28, 62)(29, 57)(30, 60)(31, 59)(32, 58)(65, 99)(66, 102)(67, 97)(68, 108)(69, 111)(70, 98)(71, 116)(72, 119)(73, 115)(74, 118)(75, 113)(76, 100)(77, 117)(78, 114)(79, 101)(80, 120)(81, 107)(82, 110)(83, 105)(84, 103)(85, 109)(86, 106)(87, 104)(88, 112)(89, 127)(90, 126)(91, 125)(92, 128)(93, 123)(94, 122)(95, 121)(96, 124)
	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 E13.526
Transitivity :: VT+
Graph:: bipartite
	v = 4 e = 64 f = 36
	degree seq :: [ 32^4 ]

E13.537 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 8, 8})
Quotient :: loop^2
Aut^+ = (C8 x C2) : C2 (small group id <32, 5>)
Aut   = (C2 x D16) : C2 (small group id <64, 130>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, (Y2 * Y1)^2, (R * Y3)^2, R * Y2 * R * Y1, Y2 * Y3^-1 * Y2 * Y1 * Y3 * Y1, Y1 * Y2 * Y3^4, Y3^-1 * Y1 * Y3^-2 * Y2 * Y3^-1, Y3^-1 * Y2 * Y3^2 * Y2 * Y3^-1, Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y2 * Y3^-1 * Y1 ]
Map::
	R = (1, 33, 65, 97, 4, 36, 68, 100, 13, 45, 77, 109, 18, 50, 82, 114, 6, 38, 70, 102, 17, 49, 81, 113, 16, 48, 80, 112, 5, 37, 69, 101)(2, 34, 66, 98, 7, 39, 71, 103, 21, 53, 85, 117, 10, 42, 74, 106, 3, 35, 67, 99, 9, 41, 73, 105, 24, 56, 88, 120, 8, 40, 72, 104)(11, 43, 75, 107, 25, 57, 89, 121, 15, 47, 79, 111, 28, 60, 92, 124, 12, 44, 76, 108, 27, 59, 91, 123, 14, 46, 78, 110, 26, 58, 90, 122)(19, 51, 83, 115, 29, 61, 93, 125, 23, 55, 87, 119, 32, 64, 96, 128, 20, 52, 84, 116, 31, 63, 95, 127, 22, 54, 86, 118, 30, 62, 94, 126)
	L = (1, 34)(2, 33)(3, 38)(4, 43)(5, 46)(6, 35)(7, 51)(8, 54)(9, 52)(10, 55)(11, 36)(12, 49)(13, 53)(14, 37)(15, 50)(16, 56)(17, 44)(18, 47)(19, 39)(20, 41)(21, 45)(22, 40)(23, 42)(24, 48)(25, 61)(26, 62)(27, 63)(28, 64)(29, 57)(30, 58)(31, 59)(32, 60)(65, 99)(66, 102)(67, 97)(68, 108)(69, 111)(70, 98)(71, 116)(72, 119)(73, 115)(74, 118)(75, 113)(76, 100)(77, 120)(78, 114)(79, 101)(80, 117)(81, 107)(82, 110)(83, 105)(84, 103)(85, 112)(86, 106)(87, 104)(88, 109)(89, 127)(90, 128)(91, 125)(92, 126)(93, 123)(94, 124)(95, 121)(96, 122)
	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 E13.527
Transitivity :: VT+
Graph:: bipartite
	v = 4 e = 64 f = 36
	degree seq :: [ 32^4 ]

E13.538 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 8, 8})
Quotient :: loop^2
Aut^+ = (C8 x C2) : C2 (small group id <32, 5>)
Aut   = C2 x ((C8 x C2) : C2) (small group id <64, 87>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y1^-1 * Y2^-1, (R * Y3)^2, R * Y1 * R * Y2, Y3 * Y2^2 * Y3 * Y2^-2, Y2 * Y3 * Y1 * Y2^-1 * Y3 * Y1^-1, Y3 * Y1^2 * Y3 * Y1^-2, Y3 * Y2 * Y3 * Y1 * Y3 * Y2^-1 * Y3 * Y1^-1, Y2^8, Y1^8 ]
Map:: non-degenerate
	R = (1, 33, 65, 97, 4, 36, 68, 100)(2, 34, 66, 98, 6, 38, 70, 102)(3, 35, 67, 99, 8, 40, 72, 104)(5, 37, 69, 101, 12, 44, 76, 108)(7, 39, 71, 103, 16, 48, 80, 112)(9, 41, 73, 105, 18, 50, 82, 114)(10, 42, 74, 106, 19, 51, 83, 115)(11, 43, 75, 107, 21, 53, 85, 117)(13, 45, 77, 109, 23, 55, 87, 119)(14, 46, 78, 110, 24, 56, 88, 120)(15, 47, 79, 111, 25, 57, 89, 121)(17, 49, 81, 113, 27, 59, 91, 123)(20, 52, 84, 116, 28, 60, 92, 124)(22, 54, 86, 118, 30, 62, 94, 126)(26, 58, 90, 122, 31, 63, 95, 127)(29, 61, 93, 125, 32, 64, 96, 128)
	L = (1, 34)(2, 37)(3, 33)(4, 41)(5, 43)(6, 45)(7, 35)(8, 46)(9, 44)(10, 36)(11, 52)(12, 54)(13, 53)(14, 38)(15, 39)(16, 42)(17, 40)(18, 55)(19, 56)(20, 47)(21, 61)(22, 60)(23, 62)(24, 50)(25, 49)(26, 48)(27, 51)(28, 58)(29, 57)(30, 64)(31, 59)(32, 63)(65, 99)(66, 97)(67, 103)(68, 106)(69, 98)(70, 110)(71, 111)(72, 113)(73, 100)(74, 112)(75, 101)(76, 105)(77, 102)(78, 104)(79, 116)(80, 122)(81, 121)(82, 120)(83, 123)(84, 107)(85, 109)(86, 108)(87, 114)(88, 115)(89, 125)(90, 124)(91, 127)(92, 118)(93, 117)(94, 119)(95, 128)(96, 126)
	local type(s) :: { ( 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E13.528
Transitivity :: VT+
Graph:: bipartite
	v = 16 e = 64 f = 24
	degree seq :: [ 8^16 ]

E13.539 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 8, 8})
Quotient :: loop^2
Aut^+ = (C8 x C2) : C2 (small group id <32, 5>)
Aut   = (C2 x (C8 : C2)) : C2 (small group id <64, 88>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2^-2 * Y1^-2, (Y2^-1, Y1^-1), Y2^2 * Y1^-1 * Y2, (Y2 * Y1)^2, (R * Y3)^2, R * Y1 * R * Y2, Y1^-1 * Y3 * Y1 * Y2 * Y3 * Y2^-1, Y3 * Y2^-1 * Y1 * Y3 * Y2 * Y1^-1, Y3 * Y1^2 * Y3 * Y1^-2, (Y2^-1 * Y3 * Y1^-1)^2, Y3 * Y2^-1 * Y3 * Y1 * Y3 * Y1^-1 * Y3 * Y2 ]
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, 11, 43, 75, 107)(5, 37, 69, 101, 16, 48, 80, 112)(6, 38, 70, 102, 17, 49, 81, 113)(7, 39, 71, 103, 18, 50, 82, 114)(8, 40, 72, 104, 19, 51, 83, 115)(10, 42, 74, 106, 24, 56, 88, 120)(12, 44, 76, 108, 25, 57, 89, 121)(13, 45, 77, 109, 26, 58, 90, 122)(14, 46, 78, 110, 27, 59, 91, 123)(15, 47, 79, 111, 28, 60, 92, 124)(20, 52, 84, 116, 29, 61, 93, 125)(21, 53, 85, 117, 30, 62, 94, 126)(22, 54, 86, 118, 31, 63, 95, 127)(23, 55, 87, 119, 32, 64, 96, 128)
	L = (1, 34)(2, 39)(3, 40)(4, 44)(5, 33)(6, 42)(7, 35)(8, 38)(9, 52)(10, 37)(11, 53)(12, 50)(13, 51)(14, 36)(15, 56)(16, 54)(17, 55)(18, 45)(19, 47)(20, 43)(21, 49)(22, 41)(23, 48)(24, 46)(25, 61)(26, 62)(27, 63)(28, 64)(29, 58)(30, 60)(31, 57)(32, 59)(65, 99)(66, 104)(67, 106)(68, 109)(69, 103)(70, 97)(71, 102)(72, 101)(73, 117)(74, 98)(75, 119)(76, 115)(77, 120)(78, 114)(79, 100)(80, 116)(81, 118)(82, 111)(83, 110)(84, 113)(85, 112)(86, 107)(87, 105)(88, 108)(89, 126)(90, 128)(91, 125)(92, 127)(93, 124)(94, 123)(95, 122)(96, 121)
	local type(s) :: { ( 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E13.529
Transitivity :: VT+
Graph:: simple bipartite
	v = 16 e = 64 f = 24
	degree seq :: [ 8^16 ]

E13.540 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 8, 8})
Quotient :: loop^2
Aut^+ = C2 x D16 (small group id <32, 39>)
Aut   = (C2 x C2 x D8) : C2 (small group id <64, 128>)
|r| :: 2
Presentation :: [ R^2, Y3^2, (Y2^-1 * Y1^-1)^2, R * Y1 * R * Y2, (R * Y3)^2, Y1^-2 * Y2^-2, (Y3 * Y1^-1)^2, (Y3 * Y2^-1)^2, (Y3 * Y1 * Y2^-1)^2, Y2^-2 * Y1^6 ]
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, 14, 46, 78, 110)(6, 38, 70, 102, 15, 47, 79, 111)(7, 39, 71, 103, 17, 49, 81, 113)(8, 40, 72, 104, 19, 51, 83, 115)(10, 42, 74, 106, 20, 52, 84, 116)(11, 43, 75, 107, 22, 54, 86, 118)(13, 45, 77, 109, 24, 56, 88, 120)(16, 48, 80, 112, 26, 58, 90, 122)(18, 50, 82, 114, 28, 60, 92, 124)(21, 53, 85, 117, 29, 61, 93, 125)(23, 55, 87, 119, 30, 62, 94, 126)(25, 57, 89, 121, 31, 63, 95, 127)(27, 59, 91, 123, 32, 64, 96, 128)
	L = (1, 34)(2, 39)(3, 40)(4, 46)(5, 33)(6, 42)(7, 48)(8, 38)(9, 36)(10, 50)(11, 37)(12, 56)(13, 35)(14, 54)(15, 51)(16, 57)(17, 41)(18, 59)(19, 44)(20, 47)(21, 45)(22, 62)(23, 43)(24, 61)(25, 55)(26, 49)(27, 53)(28, 52)(29, 64)(30, 63)(31, 58)(32, 60)(65, 99)(66, 104)(67, 107)(68, 111)(69, 109)(70, 97)(71, 102)(72, 101)(73, 116)(74, 98)(75, 117)(76, 100)(77, 119)(78, 115)(79, 113)(80, 106)(81, 124)(82, 103)(83, 105)(84, 122)(85, 121)(86, 108)(87, 123)(88, 110)(89, 114)(90, 128)(91, 112)(92, 127)(93, 118)(94, 120)(95, 125)(96, 126)
	local type(s) :: { ( 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E13.530
Transitivity :: VT+
Graph:: bipartite
	v = 16 e = 64 f = 24
	degree seq :: [ 8^16 ]

E13.541 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 8, 8})
Quotient :: loop^2
Aut^+ = (C8 x C2) : C2 (small group id <32, 9>)
Aut   = (C2 x C2 x D8) : C2 (small group id <64, 128>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2^-2 * Y1^-2, R * Y1 * R * Y2, (R * Y3)^2, (Y2^-1, Y1^-1), Y3 * Y1 * Y3 * Y2^-1, Y1^8, Y2^8 ]
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, 15, 47, 79, 111)(6, 38, 70, 102, 14, 46, 78, 110)(7, 39, 71, 103, 17, 49, 81, 113)(8, 40, 72, 104, 19, 51, 83, 115)(10, 42, 74, 106, 20, 52, 84, 116)(11, 43, 75, 107, 22, 54, 86, 118)(13, 45, 77, 109, 24, 56, 88, 120)(16, 48, 80, 112, 26, 58, 90, 122)(18, 50, 82, 114, 28, 60, 92, 124)(21, 53, 85, 117, 29, 61, 93, 125)(23, 55, 87, 119, 30, 62, 94, 126)(25, 57, 89, 121, 31, 63, 95, 127)(27, 59, 91, 123, 32, 64, 96, 128)
	L = (1, 34)(2, 39)(3, 40)(4, 44)(5, 33)(6, 42)(7, 48)(8, 38)(9, 51)(10, 50)(11, 37)(12, 54)(13, 35)(14, 36)(15, 56)(16, 57)(17, 46)(18, 59)(19, 47)(20, 41)(21, 45)(22, 61)(23, 43)(24, 62)(25, 55)(26, 52)(27, 53)(28, 49)(29, 63)(30, 64)(31, 60)(32, 58)(65, 99)(66, 104)(67, 107)(68, 105)(69, 109)(70, 97)(71, 102)(72, 101)(73, 113)(74, 98)(75, 117)(76, 115)(77, 119)(78, 116)(79, 100)(80, 106)(81, 122)(82, 103)(83, 110)(84, 124)(85, 121)(86, 111)(87, 123)(88, 108)(89, 114)(90, 127)(91, 112)(92, 128)(93, 120)(94, 118)(95, 126)(96, 125)
	local type(s) :: { ( 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E13.531
Transitivity :: VT+
Graph:: bipartite
	v = 16 e = 64 f = 24
	degree seq :: [ 8^16 ]

E13.542 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 8, 8})
Quotient :: loop^2
Aut^+ = C2 x QD16 (small group id <32, 40>)
Aut   = (C2 x QD16) : C2 (small group id <64, 131>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y1^-2 * Y2^-2, (R * Y3)^2, R * Y1 * R * Y2, (Y2^-1, Y1^-1), Y3 * Y2^-2 * Y1 * Y3 * Y1^-1, (Y3 * Y1^-2)^2, (Y3 * Y2^-1 * Y1^-1)^2, Y3 * Y2^-1 * Y1 * Y3 * Y1 * Y2^-1, Y1^-1 * Y2 * Y3 * Y2^-1 * Y3 * Y1^-1, Y3 * Y1^-1 * Y2^-1 * Y3 * Y2 * Y1, Y2^8 ]
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, 19, 51, 83, 115)(7, 39, 71, 103, 21, 53, 85, 117)(8, 40, 72, 104, 23, 55, 87, 119)(10, 42, 74, 106, 28, 60, 92, 124)(11, 43, 75, 107, 26, 58, 90, 122)(13, 45, 77, 109, 25, 57, 89, 121)(14, 46, 78, 110, 20, 52, 84, 116)(15, 47, 79, 111, 29, 61, 93, 125)(16, 48, 80, 112, 30, 62, 94, 126)(17, 49, 81, 113, 22, 54, 86, 118)(24, 56, 88, 120, 31, 63, 95, 127)(27, 59, 91, 123, 32, 64, 96, 128)
	L = (1, 34)(2, 39)(3, 40)(4, 46)(5, 33)(6, 42)(7, 52)(8, 38)(9, 56)(10, 54)(11, 37)(12, 60)(13, 35)(14, 58)(15, 55)(16, 36)(17, 57)(18, 53)(19, 59)(20, 63)(21, 48)(22, 64)(23, 49)(24, 50)(25, 51)(26, 41)(27, 44)(28, 47)(29, 45)(30, 43)(31, 62)(32, 61)(65, 99)(66, 104)(67, 107)(68, 111)(69, 109)(70, 97)(71, 102)(72, 101)(73, 121)(74, 98)(75, 125)(76, 120)(77, 126)(78, 119)(79, 117)(80, 124)(81, 100)(82, 123)(83, 122)(84, 106)(85, 108)(86, 103)(87, 112)(88, 115)(89, 110)(90, 113)(91, 105)(92, 114)(93, 127)(94, 128)(95, 118)(96, 116)
	local type(s) :: { ( 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E13.532
Transitivity :: VT+
Graph:: simple bipartite
	v = 16 e = 64 f = 24
	degree seq :: [ 8^16 ]

E13.543 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 8, 8})
Quotient :: loop^2
Aut^+ = (C8 x C2) : C2 (small group id <32, 9>)
Aut   = (C2 x QD16) : C2 (small group id <64, 131>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2^-2 * Y1^-2, (R * Y3)^2, (Y2^-1, Y1^-1), R * Y1 * R * Y2, Y3 * Y2^-3 * Y3 * Y1^-1, Y2 * Y3 * Y2 * Y1^-1 * Y3 * Y1^-1, (Y3 * Y2 * Y1)^2, Y1^-1 * Y3 * Y2^2 * Y3 * Y1^-1, (Y1^-1 * Y3 * Y2^-1)^2, Y1^8, (Y3 * Y1 * Y3 * Y2^-1)^2 ]
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, 19, 51, 83, 115)(7, 39, 71, 103, 21, 53, 85, 117)(8, 40, 72, 104, 23, 55, 87, 119)(10, 42, 74, 106, 28, 60, 92, 124)(11, 43, 75, 107, 25, 57, 89, 121)(13, 45, 77, 109, 26, 58, 90, 122)(14, 46, 78, 110, 22, 54, 86, 118)(15, 47, 79, 111, 30, 62, 94, 126)(16, 48, 80, 112, 29, 61, 93, 125)(17, 49, 81, 113, 20, 52, 84, 116)(24, 56, 88, 120, 32, 64, 96, 128)(27, 59, 91, 123, 31, 63, 95, 127)
	L = (1, 34)(2, 39)(3, 40)(4, 46)(5, 33)(6, 42)(7, 52)(8, 38)(9, 56)(10, 54)(11, 37)(12, 53)(13, 35)(14, 57)(15, 55)(16, 36)(17, 58)(18, 60)(19, 59)(20, 63)(21, 48)(22, 64)(23, 49)(24, 50)(25, 51)(26, 41)(27, 44)(28, 47)(29, 45)(30, 43)(31, 62)(32, 61)(65, 99)(66, 104)(67, 107)(68, 111)(69, 109)(70, 97)(71, 102)(72, 101)(73, 121)(74, 98)(75, 125)(76, 120)(77, 126)(78, 119)(79, 117)(80, 124)(81, 100)(82, 123)(83, 122)(84, 106)(85, 114)(86, 103)(87, 112)(88, 115)(89, 113)(90, 110)(91, 105)(92, 108)(93, 127)(94, 128)(95, 118)(96, 116)
	local type(s) :: { ( 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E13.533
Transitivity :: VT+
Graph:: simple bipartite
	v = 16 e = 64 f = 24
	degree seq :: [ 8^16 ]

E13.544 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 8, 8})
Quotient :: dipole
Aut^+ = (C8 x C2) : C2 (small group id <32, 5>)
Aut   = (C2 x C2 x D8) : C2 (small group id <64, 128>)
|r| :: 2
Presentation :: [ Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y1^2, R^2, (R * Y3)^2, (R * Y1)^2, (Y3^-1 * Y1)^2, (R * Y2 * Y3^-1)^2, Y2^2 * Y1 * Y2^-2 * Y1, (Y2^-1 * Y1 * Y2 * Y1)^2, Y2^8, (Y3 * Y2^-1)^8 ]
Map::
	R = (1, 33, 2, 34)(3, 35, 7, 39)(4, 36, 9, 41)(5, 37, 11, 43)(6, 38, 13, 45)(8, 40, 12, 44)(10, 42, 14, 46)(15, 47, 20, 52)(16, 48, 21, 53)(17, 49, 25, 57)(18, 50, 23, 55)(19, 51, 27, 59)(22, 54, 28, 60)(24, 56, 30, 62)(26, 58, 29, 61)(31, 63, 32, 64)(65, 97, 67, 99, 72, 104, 81, 113, 90, 122, 83, 115, 74, 106, 68, 100)(66, 98, 69, 101, 76, 108, 86, 118, 93, 125, 88, 120, 78, 110, 70, 102)(71, 103, 79, 111, 89, 121, 95, 127, 91, 123, 82, 114, 73, 105, 80, 112)(75, 107, 84, 116, 92, 124, 96, 128, 94, 126, 87, 119, 77, 109, 85, 117)
	L = (1, 65)(2, 66)(3, 67)(4, 68)(5, 69)(6, 70)(7, 71)(8, 72)(9, 73)(10, 74)(11, 75)(12, 76)(13, 77)(14, 78)(15, 79)(16, 80)(17, 81)(18, 82)(19, 83)(20, 84)(21, 85)(22, 86)(23, 87)(24, 88)(25, 89)(26, 90)(27, 91)(28, 92)(29, 93)(30, 94)(31, 95)(32, 96)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 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 = 20 e = 64 f = 20
	degree seq :: [ 4^16, 16^4 ]

E13.545 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 8, 8})
Quotient :: dipole
Aut^+ = (C8 x C2) : C2 (small group id <32, 9>)
Aut   = (C2 x C2 x D8) : C2 (small group id <64, 128>)
|r| :: 2
Presentation :: [ Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y1^2, R^2, (R * Y3)^2, (R * Y1)^2, (Y3^-1 * Y1)^2, (Y2^-1 * Y1 * Y2^-1)^2, (R * Y2 * Y3^-1)^2, (Y2 * Y1)^4, Y2^8, (Y3 * Y2^-1)^8 ]
Map::
	R = (1, 33, 2, 34)(3, 35, 7, 39)(4, 36, 9, 41)(5, 37, 11, 43)(6, 38, 13, 45)(8, 40, 14, 46)(10, 42, 12, 44)(15, 47, 20, 52)(16, 48, 23, 55)(17, 49, 25, 57)(18, 50, 21, 53)(19, 51, 27, 59)(22, 54, 28, 60)(24, 56, 30, 62)(26, 58, 29, 61)(31, 63, 32, 64)(65, 97, 67, 99, 72, 104, 81, 113, 90, 122, 83, 115, 74, 106, 68, 100)(66, 98, 69, 101, 76, 108, 86, 118, 93, 125, 88, 120, 78, 110, 70, 102)(71, 103, 79, 111, 73, 105, 82, 114, 91, 123, 95, 127, 89, 121, 80, 112)(75, 107, 84, 116, 77, 109, 87, 119, 94, 126, 96, 128, 92, 124, 85, 117)
	L = (1, 65)(2, 66)(3, 67)(4, 68)(5, 69)(6, 70)(7, 71)(8, 72)(9, 73)(10, 74)(11, 75)(12, 76)(13, 77)(14, 78)(15, 79)(16, 80)(17, 81)(18, 82)(19, 83)(20, 84)(21, 85)(22, 86)(23, 87)(24, 88)(25, 89)(26, 90)(27, 91)(28, 92)(29, 93)(30, 94)(31, 95)(32, 96)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 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 = 20 e = 64 f = 20
	degree seq :: [ 4^16, 16^4 ]

E13.546 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 8, 8})
Quotient :: dipole
Aut^+ = (C8 x C2) : C2 (small group id <32, 5>)
Aut   = (C2 x C2 x D8) : C2 (small group id <64, 128>)
|r| :: 2
Presentation :: [ Y1^2, Y3^2, R^2, (Y2^-1 * R)^2, (R * Y3)^2, Y2^-1 * Y3 * Y2 * Y3, (Y3 * Y1)^2, (R * Y1)^2, Y2^4 * Y3, Y1 * Y2^2 * Y1 * Y2^-2, (Y2^-1 * Y1 * Y2 * Y1)^2 ]
Map:: non-degenerate
	R = (1, 33, 2, 34)(3, 35, 9, 41)(4, 36, 7, 39)(5, 37, 13, 45)(6, 38, 15, 47)(8, 40, 19, 51)(10, 42, 16, 48)(11, 43, 22, 54)(12, 44, 24, 56)(14, 46, 20, 52)(17, 49, 27, 59)(18, 50, 29, 61)(21, 53, 26, 58)(23, 55, 28, 60)(25, 57, 30, 62)(31, 63, 32, 64)(65, 97, 67, 99, 74, 106, 76, 108, 68, 100, 75, 107, 78, 110, 69, 101)(66, 98, 70, 102, 80, 112, 82, 114, 71, 103, 81, 113, 84, 116, 72, 104)(73, 105, 85, 117, 88, 120, 95, 127, 86, 118, 89, 121, 77, 109, 87, 119)(79, 111, 90, 122, 93, 125, 96, 128, 91, 123, 94, 126, 83, 115, 92, 124)
	L = (1, 68)(2, 71)(3, 75)(4, 65)(5, 76)(6, 81)(7, 66)(8, 82)(9, 86)(10, 78)(11, 67)(12, 69)(13, 88)(14, 74)(15, 91)(16, 84)(17, 70)(18, 72)(19, 93)(20, 80)(21, 89)(22, 73)(23, 95)(24, 77)(25, 85)(26, 94)(27, 79)(28, 96)(29, 83)(30, 90)(31, 87)(32, 92)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 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 = 20 e = 64 f = 20
	degree seq :: [ 4^16, 16^4 ]

E13.547 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 8, 8})
Quotient :: dipole
Aut^+ = (C8 x C2) : C2 (small group id <32, 9>)
Aut   = (C2 x C2 x D8) : C2 (small group id <64, 128>)
|r| :: 2
Presentation :: [ Y1^2, Y3^2, R^2, (Y2^-1 * R)^2, (R * Y3)^2, Y2^-1 * Y3 * Y2 * Y3, (Y3 * Y1)^2, (R * Y1)^2, Y2^4 * Y3, (Y1 * Y2^-2)^2, (Y2^-1 * Y1)^4 ]
Map:: non-degenerate
	R = (1, 33, 2, 34)(3, 35, 9, 41)(4, 36, 7, 39)(5, 37, 13, 45)(6, 38, 15, 47)(8, 40, 19, 51)(10, 42, 20, 52)(11, 43, 22, 54)(12, 44, 24, 56)(14, 46, 16, 48)(17, 49, 27, 59)(18, 50, 29, 61)(21, 53, 26, 58)(23, 55, 30, 62)(25, 57, 28, 60)(31, 63, 32, 64)(65, 97, 67, 99, 74, 106, 76, 108, 68, 100, 75, 107, 78, 110, 69, 101)(66, 98, 70, 102, 80, 112, 82, 114, 71, 103, 81, 113, 84, 116, 72, 104)(73, 105, 85, 117, 77, 109, 89, 121, 86, 118, 95, 127, 88, 120, 87, 119)(79, 111, 90, 122, 83, 115, 94, 126, 91, 123, 96, 128, 93, 125, 92, 124)
	L = (1, 68)(2, 71)(3, 75)(4, 65)(5, 76)(6, 81)(7, 66)(8, 82)(9, 86)(10, 78)(11, 67)(12, 69)(13, 88)(14, 74)(15, 91)(16, 84)(17, 70)(18, 72)(19, 93)(20, 80)(21, 95)(22, 73)(23, 89)(24, 77)(25, 87)(26, 96)(27, 79)(28, 94)(29, 83)(30, 92)(31, 85)(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, 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 = 20 e = 64 f = 20
	degree seq :: [ 4^16, 16^4 ]

E13.548 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 8, 8})
Quotient :: dipole
Aut^+ = (C8 x C2) : C2 (small group id <32, 5>)
Aut   = (C2 x C2 x D8) : C2 (small group id <64, 128>)
|r| :: 2
Presentation :: [ Y1^2, Y3^2, R^2, (R * Y3)^2, (Y1 * Y3)^2, (Y2^-1 * R)^2, Y2^-1 * Y3 * Y2 * Y3, (R * Y1)^2, Y1 * Y2 * Y3 * Y1 * Y2^-1, Y2^8 ]
Map:: non-degenerate
	R = (1, 33, 2, 34)(3, 35, 9, 41)(4, 36, 7, 39)(5, 37, 13, 45)(6, 38, 11, 43)(8, 40, 12, 44)(10, 42, 15, 47)(14, 46, 16, 48)(17, 49, 19, 51)(18, 50, 25, 57)(20, 52, 21, 53)(22, 54, 29, 61)(23, 55, 27, 59)(24, 56, 28, 60)(26, 58, 30, 62)(31, 63, 32, 64)(65, 97, 67, 99, 74, 106, 82, 114, 90, 122, 86, 118, 78, 110, 69, 101)(66, 98, 70, 102, 79, 111, 87, 119, 94, 126, 88, 120, 80, 112, 72, 104)(68, 100, 75, 107, 83, 115, 91, 123, 96, 128, 92, 124, 84, 116, 76, 108)(71, 103, 73, 105, 81, 113, 89, 121, 95, 127, 93, 125, 85, 117, 77, 109)
	L = (1, 68)(2, 71)(3, 75)(4, 65)(5, 76)(6, 73)(7, 66)(8, 77)(9, 70)(10, 83)(11, 67)(12, 69)(13, 72)(14, 84)(15, 81)(16, 85)(17, 79)(18, 91)(19, 74)(20, 78)(21, 80)(22, 92)(23, 89)(24, 93)(25, 87)(26, 96)(27, 82)(28, 86)(29, 88)(30, 95)(31, 94)(32, 90)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 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 = 20 e = 64 f = 20
	degree seq :: [ 4^16, 16^4 ]

E13.549 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 8, 8})
Quotient :: dipole
Aut^+ = (C8 x C2) : C2 (small group id <32, 9>)
Aut   = (C2 x C2 x D8) : C2 (small group id <64, 128>)
|r| :: 2
Presentation :: [ Y1^2, Y3^2, R^2, (R * Y3)^2, (Y2^-1 * R)^2, (Y3 * Y1)^2, Y2^-1 * Y3 * Y2 * Y3, (R * Y1)^2, Y1 * Y2^-1 * Y3 * Y1 * Y2^-1, (Y2^-2 * Y1 * Y3)^2, Y2^8 ]
Map:: non-degenerate
	R = (1, 33, 2, 34)(3, 35, 9, 41)(4, 36, 7, 39)(5, 37, 13, 45)(6, 38, 12, 44)(8, 40, 11, 43)(10, 42, 16, 48)(14, 46, 15, 47)(17, 49, 19, 51)(18, 50, 25, 57)(20, 52, 21, 53)(22, 54, 29, 61)(23, 55, 28, 60)(24, 56, 27, 59)(26, 58, 30, 62)(31, 63, 32, 64)(65, 97, 67, 99, 74, 106, 82, 114, 90, 122, 86, 118, 78, 110, 69, 101)(66, 98, 70, 102, 79, 111, 87, 119, 94, 126, 88, 120, 80, 112, 72, 104)(68, 100, 75, 107, 83, 115, 91, 123, 96, 128, 92, 124, 84, 116, 76, 108)(71, 103, 77, 109, 85, 117, 93, 125, 95, 127, 89, 121, 81, 113, 73, 105)
	L = (1, 68)(2, 71)(3, 75)(4, 65)(5, 76)(6, 77)(7, 66)(8, 73)(9, 72)(10, 83)(11, 67)(12, 69)(13, 70)(14, 84)(15, 85)(16, 81)(17, 80)(18, 91)(19, 74)(20, 78)(21, 79)(22, 92)(23, 93)(24, 89)(25, 88)(26, 96)(27, 82)(28, 86)(29, 87)(30, 95)(31, 94)(32, 90)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 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 = 20 e = 64 f = 20
	degree seq :: [ 4^16, 16^4 ]

E13.550 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 8, 8})
Quotient :: dipole
Aut^+ = (C8 x C2) : C2 (small group id <32, 5>)
Aut   = (C2 x C2 x D8) : C2 (small group id <64, 128>)
|r| :: 2
Presentation :: [ Y1^2, Y3^2, R^2, Y2^-1 * Y3 * Y2 * Y3, (Y3 * Y1)^2, (R * Y3)^2, (R * Y1)^2, (Y2^-1 * R)^2, Y3 * Y2 * Y1 * Y3 * Y1 * Y2^-1, Y2^-1 * Y1 * Y2^2 * Y1 * Y2^-1, Y2^2 * Y1 * Y2 * Y1 * Y3 * Y2, (Y2^-1 * Y1 * Y2 * Y1)^2, Y2^8 ]
Map:: non-degenerate
	R = (1, 33, 2, 34)(3, 35, 9, 41)(4, 36, 7, 39)(5, 37, 13, 45)(6, 38, 15, 47)(8, 40, 19, 51)(10, 42, 16, 48)(11, 43, 22, 54)(12, 44, 26, 58)(14, 46, 20, 52)(17, 49, 29, 61)(18, 50, 24, 56)(21, 53, 27, 59)(23, 55, 30, 62)(25, 57, 28, 60)(31, 63, 32, 64)(65, 97, 67, 99, 74, 106, 88, 120, 96, 128, 93, 125, 78, 110, 69, 101)(66, 98, 70, 102, 80, 112, 90, 122, 95, 127, 86, 118, 84, 116, 72, 104)(68, 100, 75, 107, 89, 121, 83, 115, 94, 126, 79, 111, 91, 123, 76, 108)(71, 103, 81, 113, 92, 124, 77, 109, 87, 119, 73, 105, 85, 117, 82, 114)
	L = (1, 68)(2, 71)(3, 75)(4, 65)(5, 76)(6, 81)(7, 66)(8, 82)(9, 86)(10, 89)(11, 67)(12, 69)(13, 90)(14, 91)(15, 93)(16, 92)(17, 70)(18, 72)(19, 88)(20, 85)(21, 84)(22, 73)(23, 95)(24, 83)(25, 74)(26, 77)(27, 78)(28, 80)(29, 79)(30, 96)(31, 87)(32, 94)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 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 = 20 e = 64 f = 20
	degree seq :: [ 4^16, 16^4 ]

E13.551 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 8, 8})
Quotient :: dipole
Aut^+ = (C8 x C2) : C2 (small group id <32, 9>)
Aut   = (C2 x C2 x D8) : C2 (small group id <64, 128>)
|r| :: 2
Presentation :: [ Y1^2, Y3^2, R^2, Y2^-1 * Y3 * Y2 * Y3, (R * Y3)^2, (R * Y1)^2, (Y3 * Y1)^2, (Y2^-1 * R)^2, (Y2^2 * Y1)^2, Y1 * Y2 * Y3 * Y1 * Y2^-3, Y2^8 ]
Map:: non-degenerate
	R = (1, 33, 2, 34)(3, 35, 9, 41)(4, 36, 7, 39)(5, 37, 13, 45)(6, 38, 15, 47)(8, 40, 19, 51)(10, 42, 20, 52)(11, 43, 22, 54)(12, 44, 26, 58)(14, 46, 16, 48)(17, 49, 24, 56)(18, 50, 29, 61)(21, 53, 30, 62)(23, 55, 27, 59)(25, 57, 28, 60)(31, 63, 32, 64)(65, 97, 67, 99, 74, 106, 88, 120, 96, 128, 93, 125, 78, 110, 69, 101)(66, 98, 70, 102, 80, 112, 86, 118, 95, 127, 90, 122, 84, 116, 72, 104)(68, 100, 75, 107, 89, 121, 79, 111, 94, 126, 83, 115, 91, 123, 76, 108)(71, 103, 81, 113, 87, 119, 73, 105, 85, 117, 77, 109, 92, 124, 82, 114)
	L = (1, 68)(2, 71)(3, 75)(4, 65)(5, 76)(6, 81)(7, 66)(8, 82)(9, 86)(10, 89)(11, 67)(12, 69)(13, 90)(14, 91)(15, 88)(16, 87)(17, 70)(18, 72)(19, 93)(20, 92)(21, 95)(22, 73)(23, 80)(24, 79)(25, 74)(26, 77)(27, 78)(28, 84)(29, 83)(30, 96)(31, 85)(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, 4, 16, 4, 16 ) }
Outer automorphisms :: reflexible selfdual
Graph:: simple bipartite
	v = 20 e = 64 f = 20
	degree seq :: [ 4^16, 16^4 ]

E13.552 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 8, 8})
Quotient :: dipole
Aut^+ = (C8 x C2) : C2 (small group id <32, 5>)
Aut   = (C2 x C2 x D8) : C2 (small group id <64, 128>)
|r| :: 2
Presentation :: [ Y1^2, Y3^2, R^2, (R * Y1)^2, (R * Y3)^2, (Y3 * Y1)^2, Y2 * Y1 * Y2^-1 * Y1, Y2^4 * Y1, (R * Y2 * Y3)^2, (Y2 * R * Y2)^2, Y2 * Y3 * Y2^-2 * Y3 * Y2, (Y3 * Y2^-1 * Y3 * Y2)^2 ]
Map:: non-degenerate
	R = (1, 33, 2, 34)(3, 35, 6, 38)(4, 36, 7, 39)(5, 37, 8, 40)(9, 41, 14, 46)(10, 42, 15, 47)(11, 43, 16, 48)(12, 44, 17, 49)(13, 45, 18, 50)(19, 51, 24, 56)(20, 52, 25, 57)(21, 53, 26, 58)(22, 54, 27, 59)(23, 55, 28, 60)(29, 61, 31, 63)(30, 62, 32, 64)(65, 97, 67, 99, 73, 105, 72, 104, 66, 98, 70, 102, 78, 110, 69, 101)(68, 100, 75, 107, 83, 115, 81, 113, 71, 103, 80, 112, 88, 120, 76, 108)(74, 106, 84, 116, 82, 114, 90, 122, 79, 111, 89, 121, 77, 109, 85, 117)(86, 118, 93, 125, 92, 124, 96, 128, 91, 123, 95, 127, 87, 119, 94, 126)
	L = (1, 68)(2, 71)(3, 74)(4, 65)(5, 77)(6, 79)(7, 66)(8, 82)(9, 83)(10, 67)(11, 86)(12, 87)(13, 69)(14, 88)(15, 70)(16, 91)(17, 92)(18, 72)(19, 73)(20, 93)(21, 94)(22, 75)(23, 76)(24, 78)(25, 95)(26, 96)(27, 80)(28, 81)(29, 84)(30, 85)(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) :: { ( 4, 16, 4, 16 ), ( 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16 ) }
Outer automorphisms :: reflexible
Dual of E13.556
Graph:: bipartite
	v = 20 e = 64 f = 20
	degree seq :: [ 4^16, 16^4 ]

E13.553 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 8, 8})
Quotient :: dipole
Aut^+ = (C8 x C2) : C2 (small group id <32, 5>)
Aut   = (C2 x C2 x D8) : C2 (small group id <64, 128>)
|r| :: 2
Presentation :: [ Y1^2, Y3^2, R^2, (R * Y1)^2, (R * Y3)^2, (Y3 * Y1)^2, Y2 * Y1 * Y2^-1 * Y1, Y2 * Y1 * Y3 * Y2^-1 * Y3, R * Y2 * Y1 * R * Y2, Y2^8, Y2^-3 * Y1 * Y3 * Y2^3 * Y3 ]
Map:: non-degenerate
	R = (1, 33, 2, 34)(3, 35, 6, 38)(4, 36, 7, 39)(5, 37, 8, 40)(9, 41, 15, 47)(10, 42, 11, 43)(12, 44, 13, 45)(14, 46, 16, 48)(17, 49, 23, 55)(18, 50, 19, 51)(20, 52, 21, 53)(22, 54, 24, 56)(25, 57, 30, 62)(26, 58, 27, 59)(28, 60, 29, 61)(31, 63, 32, 64)(65, 97, 67, 99, 73, 105, 81, 113, 89, 121, 86, 118, 78, 110, 69, 101)(66, 98, 70, 102, 79, 111, 87, 119, 94, 126, 88, 120, 80, 112, 72, 104)(68, 100, 75, 107, 82, 114, 91, 123, 95, 127, 92, 124, 84, 116, 76, 108)(71, 103, 74, 106, 83, 115, 90, 122, 96, 128, 93, 125, 85, 117, 77, 109)
	L = (1, 68)(2, 71)(3, 74)(4, 65)(5, 77)(6, 75)(7, 66)(8, 76)(9, 82)(10, 67)(11, 70)(12, 72)(13, 69)(14, 84)(15, 83)(16, 85)(17, 90)(18, 73)(19, 79)(20, 78)(21, 80)(22, 93)(23, 91)(24, 92)(25, 95)(26, 81)(27, 87)(28, 88)(29, 86)(30, 96)(31, 89)(32, 94)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 4, 16, 4, 16 ), ( 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16 ) }
Outer automorphisms :: reflexible
Dual of E13.555
Graph:: simple bipartite
	v = 20 e = 64 f = 20
	degree seq :: [ 4^16, 16^4 ]

E13.554 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 8, 8})
Quotient :: dipole
Aut^+ = (C8 x C2) : C2 (small group id <32, 5>)
Aut   = (C2 x C2 x D8) : C2 (small group id <64, 128>)
|r| :: 2
Presentation :: [ Y1^2, Y3^2, R^2, Y2 * Y1 * Y2^-1 * Y1, (Y3 * Y1)^2, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3)^2, Y3 * Y2^2 * Y3 * Y2^-2, (Y2^-2 * R)^2, Y3 * Y1 * Y2^3 * Y3 * Y2, Y2^8 ]
Map:: non-degenerate
	R = (1, 33, 2, 34)(3, 35, 6, 38)(4, 36, 7, 39)(5, 37, 8, 40)(9, 41, 15, 47)(10, 42, 16, 48)(11, 43, 17, 49)(12, 44, 18, 50)(13, 45, 19, 51)(14, 46, 20, 52)(21, 53, 26, 58)(22, 54, 28, 60)(23, 55, 27, 59)(24, 56, 30, 62)(25, 57, 29, 61)(31, 63, 32, 64)(65, 97, 67, 99, 73, 105, 85, 117, 95, 127, 93, 125, 78, 110, 69, 101)(66, 98, 70, 102, 79, 111, 90, 122, 96, 128, 89, 121, 84, 116, 72, 104)(68, 100, 75, 107, 86, 118, 83, 115, 94, 126, 80, 112, 91, 123, 76, 108)(71, 103, 81, 113, 92, 124, 77, 109, 88, 120, 74, 106, 87, 119, 82, 114)
	L = (1, 68)(2, 71)(3, 74)(4, 65)(5, 77)(6, 80)(7, 66)(8, 83)(9, 86)(10, 67)(11, 89)(12, 90)(13, 69)(14, 91)(15, 92)(16, 70)(17, 93)(18, 85)(19, 72)(20, 87)(21, 82)(22, 73)(23, 84)(24, 96)(25, 75)(26, 76)(27, 78)(28, 79)(29, 81)(30, 95)(31, 94)(32, 88)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 4, 16, 4, 16 ), ( 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16 ) }
Outer automorphisms :: reflexible
Dual of E13.557
Graph:: simple bipartite
	v = 20 e = 64 f = 20
	degree seq :: [ 4^16, 16^4 ]

E13.555 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 8, 8})
Quotient :: dipole
Aut^+ = (C8 x C2) : C2 (small group id <32, 5>)
Aut   = (C2 x C2 x D8) : C2 (small group id <64, 128>)
|r| :: 2
Presentation :: [ Y1^2, Y3^2, R^2, (Y3 * Y1)^2, (R * Y3)^2, Y2 * Y3 * Y2^-1 * Y1, Y3 * Y2 * Y1 * Y2^-1, (R * Y1)^2, (R * Y2 * Y3)^2, (Y2^-2 * R)^2, Y2^8, (Y2^-1 * Y1)^8 ]
Map:: non-degenerate
	R = (1, 33, 2, 34)(3, 35, 9, 41)(4, 36, 7, 39)(5, 37, 11, 43)(6, 38, 13, 45)(8, 40, 15, 47)(10, 42, 14, 46)(12, 44, 16, 48)(17, 49, 21, 53)(18, 50, 25, 57)(19, 51, 23, 55)(20, 52, 27, 59)(22, 54, 28, 60)(24, 56, 30, 62)(26, 58, 29, 61)(31, 63, 32, 64)(65, 97, 67, 99, 74, 106, 82, 114, 90, 122, 84, 116, 76, 108, 69, 101)(66, 98, 70, 102, 78, 110, 86, 118, 93, 125, 88, 120, 80, 112, 72, 104)(68, 100, 73, 105, 81, 113, 89, 121, 95, 127, 91, 123, 83, 115, 75, 107)(71, 103, 77, 109, 85, 117, 92, 124, 96, 128, 94, 126, 87, 119, 79, 111)
	L = (1, 68)(2, 71)(3, 70)(4, 65)(5, 72)(6, 67)(7, 66)(8, 69)(9, 77)(10, 81)(11, 79)(12, 83)(13, 73)(14, 85)(15, 75)(16, 87)(17, 74)(18, 86)(19, 76)(20, 88)(21, 78)(22, 82)(23, 80)(24, 84)(25, 92)(26, 95)(27, 94)(28, 89)(29, 96)(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) :: { ( 4, 16, 4, 16 ), ( 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16 ) }
Outer automorphisms :: reflexible
Dual of E13.553
Graph:: simple bipartite
	v = 20 e = 64 f = 20
	degree seq :: [ 4^16, 16^4 ]

E13.556 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 8, 8})
Quotient :: dipole
Aut^+ = (C8 x C2) : C2 (small group id <32, 5>)
Aut   = (C2 x C2 x D8) : C2 (small group id <64, 128>)
|r| :: 2
Presentation :: [ Y1^2, Y3^2, R^2, (Y3 * Y1)^2, (R * Y1)^2, (R * Y3)^2, Y3 * Y2 * Y3 * Y1 * Y2^-1 * Y1, Y2^3 * Y1 * Y3 * Y2, Y2^-1 * Y1 * Y2^-2 * Y3 * Y2^-1, (R * Y2 * Y3)^2, (Y2 * Y3 * Y2^-1 * Y3)^2, Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y1 ]
Map:: non-degenerate
	R = (1, 33, 2, 34)(3, 35, 9, 41)(4, 36, 7, 39)(5, 37, 14, 46)(6, 38, 17, 49)(8, 40, 22, 54)(10, 42, 18, 50)(11, 43, 20, 52)(12, 44, 19, 51)(13, 45, 23, 55)(15, 47, 21, 53)(16, 48, 24, 56)(25, 57, 29, 61)(26, 58, 30, 62)(27, 59, 31, 63)(28, 60, 32, 64)(65, 97, 67, 99, 74, 106, 85, 117, 71, 103, 84, 116, 80, 112, 69, 101)(66, 98, 70, 102, 82, 114, 77, 109, 68, 100, 76, 108, 88, 120, 72, 104)(73, 105, 89, 121, 79, 111, 92, 124, 75, 107, 91, 123, 78, 110, 90, 122)(81, 113, 93, 125, 87, 119, 96, 128, 83, 115, 95, 127, 86, 118, 94, 126)
	L = (1, 68)(2, 71)(3, 75)(4, 65)(5, 79)(6, 83)(7, 66)(8, 87)(9, 84)(10, 88)(11, 67)(12, 81)(13, 86)(14, 85)(15, 69)(16, 82)(17, 76)(18, 80)(19, 70)(20, 73)(21, 78)(22, 77)(23, 72)(24, 74)(25, 95)(26, 96)(27, 93)(28, 94)(29, 91)(30, 92)(31, 89)(32, 90)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 4, 16, 4, 16 ), ( 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16 ) }
Outer automorphisms :: reflexible
Dual of E13.552
Graph:: bipartite
	v = 20 e = 64 f = 20
	degree seq :: [ 4^16, 16^4 ]

E13.557 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 8, 8})
Quotient :: dipole
Aut^+ = (C8 x C2) : C2 (small group id <32, 5>)
Aut   = (C2 x C2 x D8) : C2 (small group id <64, 128>)
|r| :: 2
Presentation :: [ Y1^2, Y3^2, R^2, (Y3 * Y1)^2, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3)^2, Y2 * Y3 * Y1 * Y2^-1 * Y3 * Y1, Y3 * Y2^-1 * Y1 * Y2^-3, Y2^-2 * Y1 * Y2^-1 * Y3 * Y2^-1, (Y2^-2 * R)^2, Y2^-1 * Y1 * Y2^2 * Y1 * Y2^-1, (Y2^-1 * Y1 * Y2 * Y1)^2, (Y3 * Y1 * Y2^2)^4 ]
Map:: non-degenerate
	R = (1, 33, 2, 34)(3, 35, 9, 41)(4, 36, 7, 39)(5, 37, 14, 46)(6, 38, 17, 49)(8, 40, 22, 54)(10, 42, 18, 50)(11, 43, 20, 52)(12, 44, 19, 51)(13, 45, 23, 55)(15, 47, 21, 53)(16, 48, 24, 56)(25, 57, 29, 61)(26, 58, 30, 62)(27, 59, 31, 63)(28, 60, 32, 64)(65, 97, 67, 99, 74, 106, 87, 119, 96, 128, 83, 115, 80, 112, 69, 101)(66, 98, 70, 102, 82, 114, 79, 111, 92, 124, 75, 107, 88, 120, 72, 104)(68, 100, 76, 108, 91, 123, 78, 110, 90, 122, 73, 105, 89, 121, 77, 109)(71, 103, 84, 116, 95, 127, 86, 118, 94, 126, 81, 113, 93, 125, 85, 117)
	L = (1, 68)(2, 71)(3, 75)(4, 65)(5, 79)(6, 83)(7, 66)(8, 87)(9, 84)(10, 91)(11, 67)(12, 81)(13, 86)(14, 85)(15, 69)(16, 89)(17, 76)(18, 95)(19, 70)(20, 73)(21, 78)(22, 77)(23, 72)(24, 93)(25, 80)(26, 96)(27, 74)(28, 94)(29, 88)(30, 92)(31, 82)(32, 90)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 4, 16, 4, 16 ), ( 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16 ) }
Outer automorphisms :: reflexible
Dual of E13.554
Graph:: simple bipartite
	v = 20 e = 64 f = 20
	degree seq :: [ 4^16, 16^4 ]

E13.558 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 8, 8})
Quotient :: dipole
Aut^+ = (C8 x C2) : C2 (small group id <32, 9>)
Aut   = (C2 x C2 x D8) : C2 (small group id <64, 128>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2 * Y3 * Y2, (Y3^-1 * Y1)^2, (R * Y1)^2, (R * Y2)^2, (R * Y3)^2, Y3^4, Y2 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 ]
Map:: non-degenerate
	R = (1, 33, 2, 34)(3, 35, 11, 43)(4, 36, 10, 42)(5, 37, 15, 47)(6, 38, 8, 40)(7, 39, 16, 48)(9, 41, 20, 52)(12, 44, 22, 54)(13, 45, 18, 50)(14, 46, 24, 56)(17, 49, 27, 59)(19, 51, 29, 61)(21, 53, 26, 58)(23, 55, 30, 62)(25, 57, 28, 60)(31, 63, 32, 64)(65, 97, 67, 99, 70, 102, 76, 108, 77, 109, 78, 110, 68, 100, 69, 101)(66, 98, 71, 103, 74, 106, 81, 113, 82, 114, 83, 115, 72, 104, 73, 105)(75, 107, 85, 117, 79, 111, 89, 121, 88, 120, 95, 127, 86, 118, 87, 119)(80, 112, 90, 122, 84, 116, 94, 126, 93, 125, 96, 128, 91, 123, 92, 124)
	L = (1, 68)(2, 72)(3, 69)(4, 77)(5, 78)(6, 65)(7, 73)(8, 82)(9, 83)(10, 66)(11, 86)(12, 67)(13, 70)(14, 76)(15, 75)(16, 91)(17, 71)(18, 74)(19, 81)(20, 80)(21, 87)(22, 88)(23, 95)(24, 79)(25, 85)(26, 92)(27, 93)(28, 96)(29, 84)(30, 90)(31, 89)(32, 94)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 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 = 20 e = 64 f = 20
	degree seq :: [ 4^16, 16^4 ]

E13.559 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 8, 8})
Quotient :: dipole
Aut^+ = (C8 x C2) : C2 (small group id <32, 9>)
Aut   = (C2 x C2 x D8) : C2 (small group id <64, 128>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2 * Y3^-1 * Y2, (R * Y2)^2, (R * Y1)^2, (R * Y3)^2, Y3^4, (Y1 * Y3)^2, R * Y1 * Y2 * R * Y2^-1 * Y1 * Y3^-1, Y2 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2 * Y1 ]
Map:: non-degenerate
	R = (1, 33, 2, 34)(3, 35, 11, 43)(4, 36, 10, 42)(5, 37, 14, 46)(6, 38, 8, 40)(7, 39, 16, 48)(9, 41, 19, 51)(12, 44, 23, 55)(13, 45, 18, 50)(15, 47, 25, 57)(17, 49, 28, 60)(20, 52, 30, 62)(21, 53, 26, 58)(22, 54, 29, 61)(24, 56, 27, 59)(31, 63, 32, 64)(65, 97, 67, 99, 68, 100, 76, 108, 77, 109, 79, 111, 70, 102, 69, 101)(66, 98, 71, 103, 72, 104, 81, 113, 82, 114, 84, 116, 74, 106, 73, 105)(75, 107, 85, 117, 78, 110, 88, 120, 89, 121, 95, 127, 87, 119, 86, 118)(80, 112, 90, 122, 83, 115, 93, 125, 94, 126, 96, 128, 92, 124, 91, 123)
	L = (1, 68)(2, 72)(3, 76)(4, 77)(5, 67)(6, 65)(7, 81)(8, 82)(9, 71)(10, 66)(11, 78)(12, 79)(13, 70)(14, 89)(15, 69)(16, 83)(17, 84)(18, 74)(19, 94)(20, 73)(21, 88)(22, 85)(23, 75)(24, 95)(25, 87)(26, 93)(27, 90)(28, 80)(29, 96)(30, 92)(31, 86)(32, 91)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 4, 16, 4, 16 ), ( 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 20 e = 64 f = 20
	degree seq :: [ 4^16, 16^4 ]

E13.560 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 8, 8})
Quotient :: dipole
Aut^+ = (C8 x C2) : C2 (small group id <32, 9>)
Aut   = (C2 x C2 x D8) : C2 (small group id <64, 128>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (Y3, Y2^-1), (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, (Y3^-1 * Y1)^2, Y3^4, Y1 * Y2 * Y1 * Y3^-1 * Y2^-1, Y3^2 * Y2^-4, (Y2^2 * Y1)^2 ]
Map:: non-degenerate
	R = (1, 33, 2, 34)(3, 35, 11, 43)(4, 36, 10, 42)(5, 37, 17, 49)(6, 38, 8, 40)(7, 39, 13, 45)(9, 41, 19, 51)(12, 44, 24, 56)(14, 46, 26, 58)(15, 47, 22, 54)(16, 48, 31, 63)(18, 50, 20, 52)(21, 53, 30, 62)(23, 55, 27, 59)(25, 57, 28, 60)(29, 61, 32, 64)(65, 97, 67, 99, 76, 108, 91, 123, 79, 111, 94, 126, 82, 114, 69, 101)(66, 98, 71, 103, 84, 116, 95, 127, 86, 118, 90, 122, 88, 120, 73, 105)(68, 100, 77, 109, 92, 124, 83, 115, 70, 102, 78, 110, 93, 125, 80, 112)(72, 104, 75, 107, 89, 121, 81, 113, 74, 106, 85, 117, 96, 128, 87, 119)
	L = (1, 68)(2, 72)(3, 77)(4, 79)(5, 80)(6, 65)(7, 75)(8, 86)(9, 87)(10, 66)(11, 90)(12, 92)(13, 94)(14, 67)(15, 70)(16, 91)(17, 73)(18, 93)(19, 69)(20, 89)(21, 71)(22, 74)(23, 95)(24, 96)(25, 88)(26, 85)(27, 83)(28, 82)(29, 76)(30, 78)(31, 81)(32, 84)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 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 = 20 e = 64 f = 20
	degree seq :: [ 4^16, 16^4 ]

E13.561 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 8, 8})
Quotient :: dipole
Aut^+ = (C8 x C2) : C2 (small group id <32, 9>)
Aut   = (C2 x C2 x D8) : C2 (small group id <64, 128>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^4, (R * Y2)^2, (R * Y3)^2, (R * Y1)^2, (Y3^-1, Y2^-1), (Y3^-1 * Y1)^2, Y3^4, Y1 * Y2 * Y3^-1 * Y1 * Y2^-1, Y3^2 * Y2^4, (Y2^-1 * Y1 * Y2^-1)^2 ]
Map:: non-degenerate
	R = (1, 33, 2, 34)(3, 35, 11, 43)(4, 36, 10, 42)(5, 37, 17, 49)(6, 38, 8, 40)(7, 39, 14, 46)(9, 41, 16, 48)(12, 44, 23, 55)(13, 45, 26, 58)(15, 47, 22, 54)(18, 50, 20, 52)(19, 51, 31, 63)(21, 53, 30, 62)(24, 56, 27, 59)(25, 57, 29, 61)(28, 60, 32, 64)(65, 97, 67, 99, 76, 108, 91, 123, 79, 111, 94, 126, 82, 114, 69, 101)(66, 98, 71, 103, 84, 116, 95, 127, 86, 118, 90, 122, 87, 119, 73, 105)(68, 100, 77, 109, 92, 124, 83, 115, 70, 102, 78, 110, 93, 125, 80, 112)(72, 104, 85, 117, 96, 128, 88, 120, 74, 106, 75, 107, 89, 121, 81, 113)
	L = (1, 68)(2, 72)(3, 77)(4, 79)(5, 80)(6, 65)(7, 85)(8, 86)(9, 81)(10, 66)(11, 71)(12, 92)(13, 94)(14, 67)(15, 70)(16, 91)(17, 95)(18, 93)(19, 69)(20, 96)(21, 90)(22, 74)(23, 89)(24, 73)(25, 84)(26, 75)(27, 83)(28, 82)(29, 76)(30, 78)(31, 88)(32, 87)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 4, 16, 4, 16 ), ( 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16 ) }
Outer automorphisms :: reflexible selfdual
Graph:: simple bipartite
	v = 20 e = 64 f = 20
	degree seq :: [ 4^16, 16^4 ]

E13.562 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 8, 8})
Quotient :: halfedge^2
Aut^+ = (C8 : C2) : C2 (small group id <32, 7>)
Aut   = ((C4 x C4) : C2) : C2 (small group id <64, 134>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, Y3 * Y2, (R * Y1)^2, R * Y3 * R * Y2, (Y1^-1 * Y2 * Y1^-1)^2, Y1^8, (Y2 * Y1 * Y2 * Y1^-1)^2 ]
Map::
	R = (1, 34, 2, 37, 5, 43, 11, 52, 20, 51, 19, 42, 10, 36, 4, 33)(3, 39, 7, 47, 15, 57, 25, 61, 29, 54, 22, 44, 12, 40, 8, 35)(6, 45, 13, 41, 9, 50, 18, 60, 28, 62, 30, 53, 21, 46, 14, 38)(16, 58, 26, 49, 17, 59, 27, 63, 31, 55, 23, 64, 32, 56, 24, 48)
	L = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 17)(10, 15)(11, 21)(13, 23)(14, 24)(18, 27)(19, 28)(20, 29)(22, 31)(25, 32)(26, 30)(33, 35)(34, 38)(36, 41)(37, 44)(39, 48)(40, 49)(42, 47)(43, 53)(45, 55)(46, 56)(50, 59)(51, 60)(52, 61)(54, 63)(57, 64)(58, 62)
	local type(s) :: { ( 16^16 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+ AT
Graph:: bipartite
	v = 4 e = 32 f = 4
	degree seq :: [ 16^4 ]

E13.563 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 8, 8})
Quotient :: halfedge^2
Aut^+ = (C8 : C2) : C2 (small group id <32, 7>)
Aut   = ((C4 x C4) : C2) : C2 (small group id <64, 134>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, (Y2 * Y3)^2, R * Y3 * R * Y2, (R * Y1)^2, Y1^-1 * Y2 * Y1^2 * Y3 * Y1^-1, Y1^-1 * Y2 * Y3 * Y1^-3, Y3 * Y2 * Y1 * Y3 * Y2 * Y1^-1, (Y1^-1 * Y2 * Y1^-1)^2, Y3 * Y1^-1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 34, 2, 38, 6, 49, 17, 42, 10, 53, 21, 48, 16, 37, 5, 33)(3, 41, 9, 51, 19, 45, 13, 36, 4, 44, 12, 50, 18, 43, 11, 35)(7, 52, 20, 46, 14, 56, 24, 40, 8, 55, 23, 47, 15, 54, 22, 39)(25, 62, 30, 59, 27, 64, 32, 58, 26, 61, 29, 60, 28, 63, 31, 57)
	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, 36)(34, 40)(35, 42)(37, 47)(38, 51)(39, 53)(41, 58)(43, 60)(44, 57)(45, 59)(46, 49)(48, 50)(52, 62)(54, 64)(55, 61)(56, 63)
	local type(s) :: { ( 16^16 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+ AT
Graph:: bipartite
	v = 4 e = 32 f = 4
	degree seq :: [ 16^4 ]

E13.564 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 8, 8})
Quotient :: halfedge^2
Aut^+ = (C4 x C4) : C2 (small group id <32, 11>)
Aut   = ((C4 x C4) : C2) : C2 (small group id <64, 134>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, Y3 * Y2, (R * Y1)^2, R * Y3 * R * Y2, Y1^-1 * Y2 * Y1^2 * Y2 * Y1^-1, (Y2 * Y1^-1)^4, Y1^8 ]
Map::
	R = (1, 34, 2, 37, 5, 43, 11, 52, 20, 51, 19, 42, 10, 36, 4, 33)(3, 39, 7, 44, 12, 54, 22, 61, 29, 59, 27, 49, 17, 40, 8, 35)(6, 45, 13, 53, 21, 62, 30, 60, 28, 50, 18, 41, 9, 46, 14, 38)(15, 57, 25, 63, 31, 56, 24, 64, 32, 55, 23, 48, 16, 58, 26, 47)
	L = (1, 3)(2, 6)(4, 9)(5, 12)(7, 15)(8, 16)(10, 17)(11, 21)(13, 23)(14, 24)(18, 25)(19, 28)(20, 29)(22, 31)(26, 30)(27, 32)(33, 35)(34, 38)(36, 41)(37, 44)(39, 47)(40, 48)(42, 49)(43, 53)(45, 55)(46, 56)(50, 57)(51, 60)(52, 61)(54, 63)(58, 62)(59, 64)
	local type(s) :: { ( 16^16 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+ AT
Graph:: bipartite
	v = 4 e = 32 f = 4
	degree seq :: [ 16^4 ]

E13.565 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 8, 8})
Quotient :: halfedge^2
Aut^+ = (C8 : C2) : C2 (small group id <32, 7>)
Aut   = (C2 x D16) : C2 (small group id <64, 153>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, Y1^2 * Y3 * Y2, R * Y3 * R * Y2, (R * Y1)^2, Y1^8, Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1 * Y2 * Y1^-1, Y3 * Y1^2 * Y2 * Y1^-1 * Y3 * Y2 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 34, 2, 38, 6, 46, 14, 58, 26, 56, 24, 44, 12, 37, 5, 33)(3, 41, 9, 36, 4, 43, 11, 54, 22, 60, 28, 47, 15, 42, 10, 35)(7, 48, 16, 40, 8, 50, 18, 45, 13, 57, 25, 59, 27, 49, 17, 39)(19, 63, 31, 52, 20, 64, 32, 53, 21, 61, 29, 55, 23, 62, 30, 51)
	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, 36)(34, 40)(35, 38)(37, 45)(39, 46)(41, 52)(42, 53)(43, 51)(44, 54)(47, 58)(48, 62)(49, 63)(50, 61)(55, 60)(56, 59)(57, 64)
	local type(s) :: { ( 16^16 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+ AT
Graph:: bipartite
	v = 4 e = 32 f = 4
	degree seq :: [ 16^4 ]

E13.566 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 8, 8})
Quotient :: halfedge^2
Aut^+ = (C8 : C2) : C2 (small group id <32, 7>)
Aut   = (C2 x D16) : C2 (small group id <64, 153>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, Y1^-2 * Y3 * Y2, Y1^-2 * Y3 * Y2, R * Y3 * R * Y2, (R * Y1)^2, Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3, Y2 * Y1^-1 * Y3 * Y1 * Y2 * Y1 * Y3 * Y1^-1, (Y2 * Y1 * Y2 * Y1^-1)^2 ]
Map:: non-degenerate
	R = (1, 34, 2, 38, 6, 46, 14, 58, 26, 54, 22, 42, 10, 37, 5, 33)(3, 41, 9, 51, 19, 60, 28, 47, 15, 44, 12, 36, 4, 43, 11, 35)(7, 48, 16, 45, 13, 57, 25, 59, 27, 50, 18, 40, 8, 49, 17, 39)(20, 64, 32, 55, 23, 62, 30, 56, 24, 61, 29, 53, 21, 63, 31, 52)
	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, 36)(34, 40)(35, 42)(37, 39)(38, 47)(41, 53)(43, 52)(44, 55)(45, 54)(46, 59)(48, 62)(49, 61)(50, 63)(51, 58)(56, 60)(57, 64)
	local type(s) :: { ( 16^16 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+ AT
Graph:: bipartite
	v = 4 e = 32 f = 4
	degree seq :: [ 16^4 ]

E13.567 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 8, 8})
Quotient :: edge^2
Aut^+ = (C8 : C2) : C2 (small group id <32, 7>)
Aut   = ((C4 x C4) : C2) : C2 (small group id <64, 134>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y2 * Y1, (R * Y3)^2, R * Y2 * R * Y1, (Y3^2 * Y1)^2, Y3^8, Y3 * Y1 * Y3^-1 * Y2 * Y3 * Y1 * Y3^-1 * Y1 ]
Map::
	R = (1, 33, 3, 35, 8, 40, 17, 49, 27, 59, 19, 51, 10, 42, 4, 36)(2, 34, 5, 37, 12, 44, 22, 54, 31, 63, 24, 56, 14, 46, 6, 38)(7, 39, 15, 47, 9, 41, 18, 50, 28, 60, 29, 61, 26, 58, 16, 48)(11, 43, 20, 52, 13, 45, 23, 55, 32, 64, 25, 57, 30, 62, 21, 53)(65, 66)(67, 71)(68, 73)(69, 75)(70, 77)(72, 78)(74, 76)(79, 89)(80, 85)(81, 90)(82, 87)(83, 92)(84, 93)(86, 94)(88, 96)(91, 95)(97, 98)(99, 103)(100, 105)(101, 107)(102, 109)(104, 110)(106, 108)(111, 121)(112, 117)(113, 122)(114, 119)(115, 124)(116, 125)(118, 126)(120, 128)(123, 127)
	L = (1, 65)(2, 66)(3, 67)(4, 68)(5, 69)(6, 70)(7, 71)(8, 72)(9, 73)(10, 74)(11, 75)(12, 76)(13, 77)(14, 78)(15, 79)(16, 80)(17, 81)(18, 82)(19, 83)(20, 84)(21, 85)(22, 86)(23, 87)(24, 88)(25, 89)(26, 90)(27, 91)(28, 92)(29, 93)(30, 94)(31, 95)(32, 96)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 32, 32 ), ( 32^16 ) }
Outer automorphisms :: reflexible
Dual of E13.576
Graph:: simple bipartite
	v = 36 e = 64 f = 4
	degree seq :: [ 2^32, 16^4 ]

E13.568 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 8, 8})
Quotient :: edge^2
Aut^+ = (C8 : C2) : C2 (small group id <32, 7>)
Aut   = ((C4 x C4) : C2) : C2 (small group id <64, 134>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, (Y2 * Y1)^2, (R * Y3)^2, R * Y2 * R * Y1, 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^-1 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3^-1 * Y1, (Y3 * Y1 * Y3^-1 * Y1)^2 ]
Map::
	R = (1, 33, 4, 36, 13, 45, 18, 50, 6, 38, 17, 49, 16, 48, 5, 37)(2, 34, 7, 39, 21, 53, 10, 42, 3, 35, 9, 41, 24, 56, 8, 40)(11, 43, 25, 57, 14, 46, 28, 60, 12, 44, 27, 59, 15, 47, 26, 58)(19, 51, 29, 61, 22, 54, 32, 64, 20, 52, 31, 63, 23, 55, 30, 62)(65, 66)(67, 70)(68, 75)(69, 78)(71, 83)(72, 86)(73, 84)(74, 87)(76, 81)(77, 88)(79, 82)(80, 85)(89, 95)(90, 94)(91, 93)(92, 96)(97, 99)(98, 102)(100, 108)(101, 111)(103, 116)(104, 119)(105, 115)(106, 118)(107, 113)(109, 117)(110, 114)(112, 120)(121, 125)(122, 128)(123, 127)(124, 126)
	L = (1, 65)(2, 66)(3, 67)(4, 68)(5, 69)(6, 70)(7, 71)(8, 72)(9, 73)(10, 74)(11, 75)(12, 76)(13, 77)(14, 78)(15, 79)(16, 80)(17, 81)(18, 82)(19, 83)(20, 84)(21, 85)(22, 86)(23, 87)(24, 88)(25, 89)(26, 90)(27, 91)(28, 92)(29, 93)(30, 94)(31, 95)(32, 96)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 32, 32 ), ( 32^16 ) }
Outer automorphisms :: reflexible
Dual of E13.577
Graph:: simple bipartite
	v = 36 e = 64 f = 4
	degree seq :: [ 2^32, 16^4 ]

E13.569 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 8, 8})
Quotient :: edge^2
Aut^+ = (C4 x C4) : C2 (small group id <32, 11>)
Aut   = ((C4 x C4) : C2) : C2 (small group id <64, 134>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y2 * Y1, (R * Y3)^2, R * Y1 * R * Y2, Y3^2 * Y1 * Y3^-2 * Y1, Y3^8, Y3 * Y1 * Y3 * Y2 * Y3 * Y1 * Y3 * Y1 ]
Map::
	R = (1, 33, 3, 35, 8, 40, 17, 49, 27, 59, 19, 51, 10, 42, 4, 36)(2, 34, 5, 37, 12, 44, 22, 54, 31, 63, 24, 56, 14, 46, 6, 38)(7, 39, 15, 47, 25, 57, 30, 62, 28, 60, 18, 50, 9, 41, 16, 48)(11, 43, 20, 52, 29, 61, 26, 58, 32, 64, 23, 55, 13, 45, 21, 53)(65, 66)(67, 71)(68, 73)(69, 75)(70, 77)(72, 76)(74, 78)(79, 87)(80, 90)(81, 89)(82, 84)(83, 92)(85, 94)(86, 93)(88, 96)(91, 95)(97, 98)(99, 103)(100, 105)(101, 107)(102, 109)(104, 108)(106, 110)(111, 119)(112, 122)(113, 121)(114, 116)(115, 124)(117, 126)(118, 125)(120, 128)(123, 127)
	L = (1, 65)(2, 66)(3, 67)(4, 68)(5, 69)(6, 70)(7, 71)(8, 72)(9, 73)(10, 74)(11, 75)(12, 76)(13, 77)(14, 78)(15, 79)(16, 80)(17, 81)(18, 82)(19, 83)(20, 84)(21, 85)(22, 86)(23, 87)(24, 88)(25, 89)(26, 90)(27, 91)(28, 92)(29, 93)(30, 94)(31, 95)(32, 96)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 32, 32 ), ( 32^16 ) }
Outer automorphisms :: reflexible
Dual of E13.578
Graph:: simple bipartite
	v = 36 e = 64 f = 4
	degree seq :: [ 2^32, 16^4 ]

E13.570 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 8, 8})
Quotient :: edge^2
Aut^+ = (C8 : C2) : C2 (small group id <32, 7>)
Aut   = (C2 x D16) : C2 (small group id <64, 153>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, R * Y2 * R * Y1, (R * Y3)^2, Y2 * Y3^-2 * Y1, Y3 * Y2 * Y3^-1 * Y1 * Y3^-1 * Y2 * Y3 * Y1, Y3^-2 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1, Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-2 ]
Map::
	R = (1, 33, 4, 36, 6, 38, 15, 47, 26, 58, 20, 52, 9, 41, 5, 37)(2, 34, 7, 39, 3, 35, 10, 42, 19, 51, 27, 59, 14, 46, 8, 40)(11, 43, 22, 54, 12, 44, 24, 56, 13, 45, 25, 57, 28, 60, 23, 55)(16, 48, 29, 61, 17, 49, 31, 63, 18, 50, 32, 64, 21, 53, 30, 62)(65, 66)(67, 73)(68, 75)(69, 76)(70, 78)(71, 80)(72, 81)(74, 85)(77, 84)(79, 92)(82, 91)(83, 90)(86, 96)(87, 94)(88, 95)(89, 93)(97, 99)(98, 102)(100, 108)(101, 109)(103, 113)(104, 114)(105, 115)(106, 112)(107, 111)(110, 122)(116, 124)(117, 123)(118, 126)(119, 125)(120, 128)(121, 127)
	L = (1, 65)(2, 66)(3, 67)(4, 68)(5, 69)(6, 70)(7, 71)(8, 72)(9, 73)(10, 74)(11, 75)(12, 76)(13, 77)(14, 78)(15, 79)(16, 80)(17, 81)(18, 82)(19, 83)(20, 84)(21, 85)(22, 86)(23, 87)(24, 88)(25, 89)(26, 90)(27, 91)(28, 92)(29, 93)(30, 94)(31, 95)(32, 96)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 32, 32 ), ( 32^16 ) }
Outer automorphisms :: reflexible
Dual of E13.579
Graph:: simple bipartite
	v = 36 e = 64 f = 4
	degree seq :: [ 2^32, 16^4 ]

E13.571 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 8, 8})
Quotient :: edge^2
Aut^+ = (C8 : C2) : C2 (small group id <32, 7>)
Aut   = (C2 x D16) : C2 (small group id <64, 153>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^2 * Y1 * Y2, R * Y2 * R * Y1, (R * Y3)^2, Y3 * Y2 * Y3 * Y1 * Y3 * Y1 * Y3^-1 * Y1, (Y1 * Y2)^4 ]
Map::
	R = (1, 33, 4, 36, 9, 41, 20, 52, 26, 58, 15, 47, 6, 38, 5, 37)(2, 34, 7, 39, 14, 46, 27, 59, 19, 51, 10, 42, 3, 35, 8, 40)(11, 43, 22, 54, 13, 45, 25, 57, 28, 60, 24, 56, 12, 44, 23, 55)(16, 48, 29, 61, 18, 50, 32, 64, 21, 53, 31, 63, 17, 49, 30, 62)(65, 66)(67, 73)(68, 75)(69, 77)(70, 78)(71, 80)(72, 82)(74, 85)(76, 84)(79, 92)(81, 91)(83, 90)(86, 95)(87, 94)(88, 93)(89, 96)(97, 99)(98, 102)(100, 108)(101, 107)(103, 113)(104, 112)(105, 115)(106, 114)(109, 111)(110, 122)(116, 124)(117, 123)(118, 128)(119, 127)(120, 126)(121, 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, 32 ), ( 32^16 ) }
Outer automorphisms :: reflexible
Dual of E13.580
Graph:: simple bipartite
	v = 36 e = 64 f = 4
	degree seq :: [ 2^32, 16^4 ]

E13.572 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 8, 8})
Quotient :: edge^2
Aut^+ = (C8 : C2) : C2 (small group id <32, 7>)
Aut   = C2 x ((C8 : C2) : C2) (small group id <64, 92>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2 * Y1, R * Y1 * R * Y2, (R * Y3)^2, Y3 * Y2 * Y1^-1 * Y3 * Y1^-2, Y2 * Y3 * Y1^-2 * Y3 * Y1^-1, Y3 * Y1 * Y2^-1 * Y3 * Y2^-2, Y2 * Y3 * Y1 * Y3 * Y1^-1 * Y3 * Y2^-1 * Y3, Y1^8, Y3 * Y1 * Y3 * Y2 * Y3 * Y2^-1 * Y3 * Y1^-1, Y2^8 ]
Map:: non-degenerate
	R = (1, 33, 4, 36)(2, 34, 6, 38)(3, 35, 8, 40)(5, 37, 12, 44)(7, 39, 16, 48)(9, 41, 18, 50)(10, 42, 19, 51)(11, 43, 21, 53)(13, 45, 23, 55)(14, 46, 24, 56)(15, 47, 25, 57)(17, 49, 27, 59)(20, 52, 29, 61)(22, 54, 31, 63)(26, 58, 32, 64)(28, 60, 30, 62)(65, 66, 69, 75, 84, 79, 71, 67)(68, 73, 80, 90, 93, 86, 76, 74)(70, 77, 72, 81, 89, 94, 85, 78)(82, 92, 83, 91, 95, 87, 96, 88)(97, 99, 103, 111, 116, 107, 101, 98)(100, 106, 108, 118, 125, 122, 112, 105)(102, 110, 117, 126, 121, 113, 104, 109)(114, 120, 128, 119, 127, 123, 115, 124)
	L = (1, 65)(2, 66)(3, 67)(4, 68)(5, 69)(6, 70)(7, 71)(8, 72)(9, 73)(10, 74)(11, 75)(12, 76)(13, 77)(14, 78)(15, 79)(16, 80)(17, 81)(18, 82)(19, 83)(20, 84)(21, 85)(22, 86)(23, 87)(24, 88)(25, 89)(26, 90)(27, 91)(28, 92)(29, 93)(30, 94)(31, 95)(32, 96)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 8^4 ), ( 8^8 ) }
Outer automorphisms :: reflexible
Dual of E13.581
Graph:: simple bipartite
	v = 24 e = 64 f = 16
	degree seq :: [ 4^16, 8^8 ]

E13.573 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 8, 8})
Quotient :: edge^2
Aut^+ = (C8 : C2) : C2 (small group id <32, 7>)
Aut   = C2 x ((C8 : C2) : C2) (small group id <64, 92>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2^2 * Y1^-1 * Y2, (Y1 * Y2)^2, Y1^-2 * Y2 * Y1^-1, Y2^-1 * Y1^-2 * Y2^-1, R * Y1 * R * Y2, (R * Y3)^2, Y2^-1 * Y3 * Y1 * Y2 * Y3 * Y1^-1, Y2 * Y3 * Y2^-2 * Y3 * Y1^-1, Y3 * Y1^2 * Y3 * Y2 * Y1^-1, Y3 * Y1 * Y3 * Y2 * Y3 * Y2^-1 * Y3 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 33, 4, 36)(2, 34, 9, 41)(3, 35, 11, 43)(5, 37, 16, 48)(6, 38, 17, 49)(7, 39, 18, 50)(8, 40, 19, 51)(10, 42, 24, 56)(12, 44, 25, 57)(13, 45, 26, 58)(14, 46, 27, 59)(15, 47, 28, 60)(20, 52, 29, 61)(21, 53, 30, 62)(22, 54, 31, 63)(23, 55, 32, 64)(65, 66, 71, 67, 72, 70, 74, 69)(68, 76, 88, 77, 83, 79, 82, 78)(73, 84, 80, 85, 81, 87, 75, 86)(89, 96, 91, 94, 92, 93, 90, 95)(97, 99, 106, 98, 104, 101, 103, 102)(100, 109, 114, 108, 115, 110, 120, 111)(105, 117, 107, 116, 113, 118, 112, 119)(121, 126, 122, 128, 124, 127, 123, 125)
	L = (1, 65)(2, 66)(3, 67)(4, 68)(5, 69)(6, 70)(7, 71)(8, 72)(9, 73)(10, 74)(11, 75)(12, 76)(13, 77)(14, 78)(15, 79)(16, 80)(17, 81)(18, 82)(19, 83)(20, 84)(21, 85)(22, 86)(23, 87)(24, 88)(25, 89)(26, 90)(27, 91)(28, 92)(29, 93)(30, 94)(31, 95)(32, 96)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 8^4 ), ( 8^8 ) }
Outer automorphisms :: reflexible
Dual of E13.582
Graph:: simple bipartite
	v = 24 e = 64 f = 16
	degree seq :: [ 4^16, 8^8 ]

E13.574 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 8, 8})
Quotient :: edge^2
Aut^+ = (C8 : C2) : C2 (small group id <32, 7>)
Aut   = ((C4 x C4) : C2) : C2 (small group id <64, 134>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2^-1 * Y1, R * Y1 * R * Y2, (R * Y3)^2, (Y1^-1 * Y3 * Y2^-1)^2, (Y1^-1 * Y3 * Y1^-1)^2, Y2^8, Y3 * Y1 * Y3 * Y2^-1 * Y3 * Y1 * Y3 * Y1^-1, Y1^8 ]
Map:: polytopal non-degenerate
	R = (1, 33, 3, 35)(2, 34, 6, 38)(4, 36, 9, 41)(5, 37, 12, 44)(7, 39, 16, 48)(8, 40, 17, 49)(10, 42, 15, 47)(11, 43, 21, 53)(13, 45, 23, 55)(14, 46, 24, 56)(18, 50, 27, 59)(19, 51, 28, 60)(20, 52, 29, 61)(22, 54, 31, 63)(25, 57, 32, 64)(26, 58, 30, 62)(65, 66, 69, 75, 84, 83, 74, 68)(67, 71, 79, 89, 93, 86, 76, 72)(70, 77, 73, 82, 92, 94, 85, 78)(80, 90, 81, 91, 95, 87, 96, 88)(97, 98, 101, 107, 116, 115, 106, 100)(99, 103, 111, 121, 125, 118, 108, 104)(102, 109, 105, 114, 124, 126, 117, 110)(112, 122, 113, 123, 127, 119, 128, 120)
	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) :: { ( 8^4 ), ( 8^8 ) }
Outer automorphisms :: reflexible
Dual of E13.583
Graph:: simple bipartite
	v = 24 e = 64 f = 16
	degree seq :: [ 4^16, 8^8 ]

E13.575 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 8, 8})
Quotient :: edge^2
Aut^+ = (C8 : C2) : C2 (small group id <32, 7>)
Aut   = ((C4 x C4) : C2) : C2 (small group id <64, 136>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y1^3 * Y2, Y2^-3 * Y1^-1, (R * Y3)^2, R * Y1 * R * Y2, (Y1 * Y2^-1)^2, Y2 * Y3 * Y2 * Y1 * Y3 * Y1, Y2 * Y3 * Y1 * Y2^-1 * Y3 * Y1^-1, Y3 * Y1 * Y3 * Y2 * Y3 * Y1^-1 * Y3 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 33, 4, 36)(2, 34, 9, 41)(3, 35, 11, 43)(5, 37, 16, 48)(6, 38, 17, 49)(7, 39, 18, 50)(8, 40, 19, 51)(10, 42, 24, 56)(12, 44, 25, 57)(13, 45, 26, 58)(14, 46, 27, 59)(15, 47, 28, 60)(20, 52, 29, 61)(21, 53, 30, 62)(22, 54, 31, 63)(23, 55, 32, 64)(65, 66, 71, 70, 74, 67, 72, 69)(68, 76, 83, 79, 88, 77, 82, 78)(73, 84, 80, 87, 75, 85, 81, 86)(89, 94, 91, 96, 90, 93, 92, 95)(97, 99, 103, 101, 106, 98, 104, 102)(100, 109, 115, 110, 120, 108, 114, 111)(105, 117, 112, 118, 107, 116, 113, 119)(121, 125, 123, 127, 122, 126, 124, 128)
	L = (1, 65)(2, 66)(3, 67)(4, 68)(5, 69)(6, 70)(7, 71)(8, 72)(9, 73)(10, 74)(11, 75)(12, 76)(13, 77)(14, 78)(15, 79)(16, 80)(17, 81)(18, 82)(19, 83)(20, 84)(21, 85)(22, 86)(23, 87)(24, 88)(25, 89)(26, 90)(27, 91)(28, 92)(29, 93)(30, 94)(31, 95)(32, 96)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 8^4 ), ( 8^8 ) }
Outer automorphisms :: reflexible
Dual of E13.584
Graph:: simple bipartite
	v = 24 e = 64 f = 16
	degree seq :: [ 4^16, 8^8 ]

E13.576 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 8, 8})
Quotient :: loop^2
Aut^+ = (C8 : C2) : C2 (small group id <32, 7>)
Aut   = ((C4 x C4) : C2) : C2 (small group id <64, 134>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y2 * Y1, (R * Y3)^2, R * Y2 * R * Y1, (Y3^2 * Y1)^2, Y3^8, Y3 * Y1 * Y3^-1 * Y2 * Y3 * Y1 * Y3^-1 * Y1 ]
Map::
	R = (1, 33, 65, 97, 3, 35, 67, 99, 8, 40, 72, 104, 17, 49, 81, 113, 27, 59, 91, 123, 19, 51, 83, 115, 10, 42, 74, 106, 4, 36, 68, 100)(2, 34, 66, 98, 5, 37, 69, 101, 12, 44, 76, 108, 22, 54, 86, 118, 31, 63, 95, 127, 24, 56, 88, 120, 14, 46, 78, 110, 6, 38, 70, 102)(7, 39, 71, 103, 15, 47, 79, 111, 9, 41, 73, 105, 18, 50, 82, 114, 28, 60, 92, 124, 29, 61, 93, 125, 26, 58, 90, 122, 16, 48, 80, 112)(11, 43, 75, 107, 20, 52, 84, 116, 13, 45, 77, 109, 23, 55, 87, 119, 32, 64, 96, 128, 25, 57, 89, 121, 30, 62, 94, 126, 21, 53, 85, 117)
	L = (1, 34)(2, 33)(3, 39)(4, 41)(5, 43)(6, 45)(7, 35)(8, 46)(9, 36)(10, 44)(11, 37)(12, 42)(13, 38)(14, 40)(15, 57)(16, 53)(17, 58)(18, 55)(19, 60)(20, 61)(21, 48)(22, 62)(23, 50)(24, 64)(25, 47)(26, 49)(27, 63)(28, 51)(29, 52)(30, 54)(31, 59)(32, 56)(65, 98)(66, 97)(67, 103)(68, 105)(69, 107)(70, 109)(71, 99)(72, 110)(73, 100)(74, 108)(75, 101)(76, 106)(77, 102)(78, 104)(79, 121)(80, 117)(81, 122)(82, 119)(83, 124)(84, 125)(85, 112)(86, 126)(87, 114)(88, 128)(89, 111)(90, 113)(91, 127)(92, 115)(93, 116)(94, 118)(95, 123)(96, 120)
	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 E13.567
Transitivity :: VT+
Graph:: bipartite
	v = 4 e = 64 f = 36
	degree seq :: [ 32^4 ]

E13.577 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 8, 8})
Quotient :: loop^2
Aut^+ = (C8 : C2) : C2 (small group id <32, 7>)
Aut   = ((C4 x C4) : C2) : C2 (small group id <64, 134>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, (Y2 * Y1)^2, (R * Y3)^2, R * Y2 * R * Y1, 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^-1 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3^-1 * Y1, (Y3 * Y1 * Y3^-1 * Y1)^2 ]
Map::
	R = (1, 33, 65, 97, 4, 36, 68, 100, 13, 45, 77, 109, 18, 50, 82, 114, 6, 38, 70, 102, 17, 49, 81, 113, 16, 48, 80, 112, 5, 37, 69, 101)(2, 34, 66, 98, 7, 39, 71, 103, 21, 53, 85, 117, 10, 42, 74, 106, 3, 35, 67, 99, 9, 41, 73, 105, 24, 56, 88, 120, 8, 40, 72, 104)(11, 43, 75, 107, 25, 57, 89, 121, 14, 46, 78, 110, 28, 60, 92, 124, 12, 44, 76, 108, 27, 59, 91, 123, 15, 47, 79, 111, 26, 58, 90, 122)(19, 51, 83, 115, 29, 61, 93, 125, 22, 54, 86, 118, 32, 64, 96, 128, 20, 52, 84, 116, 31, 63, 95, 127, 23, 55, 87, 119, 30, 62, 94, 126)
	L = (1, 34)(2, 33)(3, 38)(4, 43)(5, 46)(6, 35)(7, 51)(8, 54)(9, 52)(10, 55)(11, 36)(12, 49)(13, 56)(14, 37)(15, 50)(16, 53)(17, 44)(18, 47)(19, 39)(20, 41)(21, 48)(22, 40)(23, 42)(24, 45)(25, 63)(26, 62)(27, 61)(28, 64)(29, 59)(30, 58)(31, 57)(32, 60)(65, 99)(66, 102)(67, 97)(68, 108)(69, 111)(70, 98)(71, 116)(72, 119)(73, 115)(74, 118)(75, 113)(76, 100)(77, 117)(78, 114)(79, 101)(80, 120)(81, 107)(82, 110)(83, 105)(84, 103)(85, 109)(86, 106)(87, 104)(88, 112)(89, 125)(90, 128)(91, 127)(92, 126)(93, 121)(94, 124)(95, 123)(96, 122)
	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 E13.568
Transitivity :: VT+
Graph:: bipartite
	v = 4 e = 64 f = 36
	degree seq :: [ 32^4 ]

E13.578 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 8, 8})
Quotient :: loop^2
Aut^+ = (C4 x C4) : C2 (small group id <32, 11>)
Aut   = ((C4 x C4) : C2) : C2 (small group id <64, 134>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y2 * Y1, (R * Y3)^2, R * Y1 * R * Y2, Y3^2 * Y1 * Y3^-2 * Y1, Y3^8, Y3 * Y1 * Y3 * Y2 * Y3 * Y1 * Y3 * Y1 ]
Map::
	R = (1, 33, 65, 97, 3, 35, 67, 99, 8, 40, 72, 104, 17, 49, 81, 113, 27, 59, 91, 123, 19, 51, 83, 115, 10, 42, 74, 106, 4, 36, 68, 100)(2, 34, 66, 98, 5, 37, 69, 101, 12, 44, 76, 108, 22, 54, 86, 118, 31, 63, 95, 127, 24, 56, 88, 120, 14, 46, 78, 110, 6, 38, 70, 102)(7, 39, 71, 103, 15, 47, 79, 111, 25, 57, 89, 121, 30, 62, 94, 126, 28, 60, 92, 124, 18, 50, 82, 114, 9, 41, 73, 105, 16, 48, 80, 112)(11, 43, 75, 107, 20, 52, 84, 116, 29, 61, 93, 125, 26, 58, 90, 122, 32, 64, 96, 128, 23, 55, 87, 119, 13, 45, 77, 109, 21, 53, 85, 117)
	L = (1, 34)(2, 33)(3, 39)(4, 41)(5, 43)(6, 45)(7, 35)(8, 44)(9, 36)(10, 46)(11, 37)(12, 40)(13, 38)(14, 42)(15, 55)(16, 58)(17, 57)(18, 52)(19, 60)(20, 50)(21, 62)(22, 61)(23, 47)(24, 64)(25, 49)(26, 48)(27, 63)(28, 51)(29, 54)(30, 53)(31, 59)(32, 56)(65, 98)(66, 97)(67, 103)(68, 105)(69, 107)(70, 109)(71, 99)(72, 108)(73, 100)(74, 110)(75, 101)(76, 104)(77, 102)(78, 106)(79, 119)(80, 122)(81, 121)(82, 116)(83, 124)(84, 114)(85, 126)(86, 125)(87, 111)(88, 128)(89, 113)(90, 112)(91, 127)(92, 115)(93, 118)(94, 117)(95, 123)(96, 120)
	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 E13.569
Transitivity :: VT+
Graph:: bipartite
	v = 4 e = 64 f = 36
	degree seq :: [ 32^4 ]

E13.579 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 8, 8})
Quotient :: loop^2
Aut^+ = (C8 : C2) : C2 (small group id <32, 7>)
Aut   = (C2 x D16) : C2 (small group id <64, 153>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, R * Y2 * R * Y1, (R * Y3)^2, Y2 * Y3^-2 * Y1, Y3 * Y2 * Y3^-1 * Y1 * Y3^-1 * Y2 * Y3 * Y1, Y3^-2 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1, Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-2 ]
Map::
	R = (1, 33, 65, 97, 4, 36, 68, 100, 6, 38, 70, 102, 15, 47, 79, 111, 26, 58, 90, 122, 20, 52, 84, 116, 9, 41, 73, 105, 5, 37, 69, 101)(2, 34, 66, 98, 7, 39, 71, 103, 3, 35, 67, 99, 10, 42, 74, 106, 19, 51, 83, 115, 27, 59, 91, 123, 14, 46, 78, 110, 8, 40, 72, 104)(11, 43, 75, 107, 22, 54, 86, 118, 12, 44, 76, 108, 24, 56, 88, 120, 13, 45, 77, 109, 25, 57, 89, 121, 28, 60, 92, 124, 23, 55, 87, 119)(16, 48, 80, 112, 29, 61, 93, 125, 17, 49, 81, 113, 31, 63, 95, 127, 18, 50, 82, 114, 32, 64, 96, 128, 21, 53, 85, 117, 30, 62, 94, 126)
	L = (1, 34)(2, 33)(3, 41)(4, 43)(5, 44)(6, 46)(7, 48)(8, 49)(9, 35)(10, 53)(11, 36)(12, 37)(13, 52)(14, 38)(15, 60)(16, 39)(17, 40)(18, 59)(19, 58)(20, 45)(21, 42)(22, 64)(23, 62)(24, 63)(25, 61)(26, 51)(27, 50)(28, 47)(29, 57)(30, 55)(31, 56)(32, 54)(65, 99)(66, 102)(67, 97)(68, 108)(69, 109)(70, 98)(71, 113)(72, 114)(73, 115)(74, 112)(75, 111)(76, 100)(77, 101)(78, 122)(79, 107)(80, 106)(81, 103)(82, 104)(83, 105)(84, 124)(85, 123)(86, 126)(87, 125)(88, 128)(89, 127)(90, 110)(91, 117)(92, 116)(93, 119)(94, 118)(95, 121)(96, 120)
	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 E13.570
Transitivity :: VT+
Graph:: bipartite
	v = 4 e = 64 f = 36
	degree seq :: [ 32^4 ]

E13.580 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 8, 8})
Quotient :: loop^2
Aut^+ = (C8 : C2) : C2 (small group id <32, 7>)
Aut   = (C2 x D16) : C2 (small group id <64, 153>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^2 * Y1 * Y2, R * Y2 * R * Y1, (R * Y3)^2, Y3 * Y2 * Y3 * Y1 * Y3 * Y1 * Y3^-1 * Y1, (Y1 * Y2)^4 ]
Map::
	R = (1, 33, 65, 97, 4, 36, 68, 100, 9, 41, 73, 105, 20, 52, 84, 116, 26, 58, 90, 122, 15, 47, 79, 111, 6, 38, 70, 102, 5, 37, 69, 101)(2, 34, 66, 98, 7, 39, 71, 103, 14, 46, 78, 110, 27, 59, 91, 123, 19, 51, 83, 115, 10, 42, 74, 106, 3, 35, 67, 99, 8, 40, 72, 104)(11, 43, 75, 107, 22, 54, 86, 118, 13, 45, 77, 109, 25, 57, 89, 121, 28, 60, 92, 124, 24, 56, 88, 120, 12, 44, 76, 108, 23, 55, 87, 119)(16, 48, 80, 112, 29, 61, 93, 125, 18, 50, 82, 114, 32, 64, 96, 128, 21, 53, 85, 117, 31, 63, 95, 127, 17, 49, 81, 113, 30, 62, 94, 126)
	L = (1, 34)(2, 33)(3, 41)(4, 43)(5, 45)(6, 46)(7, 48)(8, 50)(9, 35)(10, 53)(11, 36)(12, 52)(13, 37)(14, 38)(15, 60)(16, 39)(17, 59)(18, 40)(19, 58)(20, 44)(21, 42)(22, 63)(23, 62)(24, 61)(25, 64)(26, 51)(27, 49)(28, 47)(29, 56)(30, 55)(31, 54)(32, 57)(65, 99)(66, 102)(67, 97)(68, 108)(69, 107)(70, 98)(71, 113)(72, 112)(73, 115)(74, 114)(75, 101)(76, 100)(77, 111)(78, 122)(79, 109)(80, 104)(81, 103)(82, 106)(83, 105)(84, 124)(85, 123)(86, 128)(87, 127)(88, 126)(89, 125)(90, 110)(91, 117)(92, 116)(93, 121)(94, 120)(95, 119)(96, 118)
	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 E13.571
Transitivity :: VT+
Graph:: bipartite
	v = 4 e = 64 f = 36
	degree seq :: [ 32^4 ]

E13.581 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 8, 8})
Quotient :: loop^2
Aut^+ = (C8 : C2) : C2 (small group id <32, 7>)
Aut   = C2 x ((C8 : C2) : C2) (small group id <64, 92>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2 * Y1, R * Y1 * R * Y2, (R * Y3)^2, Y3 * Y2 * Y1^-1 * Y3 * Y1^-2, Y2 * Y3 * Y1^-2 * Y3 * Y1^-1, Y3 * Y1 * Y2^-1 * Y3 * Y2^-2, Y2 * Y3 * Y1 * Y3 * Y1^-1 * Y3 * Y2^-1 * Y3, Y1^8, Y3 * Y1 * Y3 * Y2 * Y3 * Y2^-1 * Y3 * Y1^-1, Y2^8 ]
Map:: non-degenerate
	R = (1, 33, 65, 97, 4, 36, 68, 100)(2, 34, 66, 98, 6, 38, 70, 102)(3, 35, 67, 99, 8, 40, 72, 104)(5, 37, 69, 101, 12, 44, 76, 108)(7, 39, 71, 103, 16, 48, 80, 112)(9, 41, 73, 105, 18, 50, 82, 114)(10, 42, 74, 106, 19, 51, 83, 115)(11, 43, 75, 107, 21, 53, 85, 117)(13, 45, 77, 109, 23, 55, 87, 119)(14, 46, 78, 110, 24, 56, 88, 120)(15, 47, 79, 111, 25, 57, 89, 121)(17, 49, 81, 113, 27, 59, 91, 123)(20, 52, 84, 116, 29, 61, 93, 125)(22, 54, 86, 118, 31, 63, 95, 127)(26, 58, 90, 122, 32, 64, 96, 128)(28, 60, 92, 124, 30, 62, 94, 126)
	L = (1, 34)(2, 37)(3, 33)(4, 41)(5, 43)(6, 45)(7, 35)(8, 49)(9, 48)(10, 36)(11, 52)(12, 42)(13, 40)(14, 38)(15, 39)(16, 58)(17, 57)(18, 60)(19, 59)(20, 47)(21, 46)(22, 44)(23, 64)(24, 50)(25, 62)(26, 61)(27, 63)(28, 51)(29, 54)(30, 53)(31, 55)(32, 56)(65, 99)(66, 97)(67, 103)(68, 106)(69, 98)(70, 110)(71, 111)(72, 109)(73, 100)(74, 108)(75, 101)(76, 118)(77, 102)(78, 117)(79, 116)(80, 105)(81, 104)(82, 120)(83, 124)(84, 107)(85, 126)(86, 125)(87, 127)(88, 128)(89, 113)(90, 112)(91, 115)(92, 114)(93, 122)(94, 121)(95, 123)(96, 119)
	local type(s) :: { ( 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E13.572
Transitivity :: VT+
Graph:: bipartite
	v = 16 e = 64 f = 24
	degree seq :: [ 8^16 ]

E13.582 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 8, 8})
Quotient :: loop^2
Aut^+ = (C8 : C2) : C2 (small group id <32, 7>)
Aut   = C2 x ((C8 : C2) : C2) (small group id <64, 92>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2^2 * Y1^-1 * Y2, (Y1 * Y2)^2, Y1^-2 * Y2 * Y1^-1, Y2^-1 * Y1^-2 * Y2^-1, R * Y1 * R * Y2, (R * Y3)^2, Y2^-1 * Y3 * Y1 * Y2 * Y3 * Y1^-1, Y2 * Y3 * Y2^-2 * Y3 * Y1^-1, Y3 * Y1^2 * Y3 * Y2 * Y1^-1, Y3 * Y1 * Y3 * Y2 * Y3 * Y2^-1 * Y3 * Y1^-1 ]
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, 11, 43, 75, 107)(5, 37, 69, 101, 16, 48, 80, 112)(6, 38, 70, 102, 17, 49, 81, 113)(7, 39, 71, 103, 18, 50, 82, 114)(8, 40, 72, 104, 19, 51, 83, 115)(10, 42, 74, 106, 24, 56, 88, 120)(12, 44, 76, 108, 25, 57, 89, 121)(13, 45, 77, 109, 26, 58, 90, 122)(14, 46, 78, 110, 27, 59, 91, 123)(15, 47, 79, 111, 28, 60, 92, 124)(20, 52, 84, 116, 29, 61, 93, 125)(21, 53, 85, 117, 30, 62, 94, 126)(22, 54, 86, 118, 31, 63, 95, 127)(23, 55, 87, 119, 32, 64, 96, 128)
	L = (1, 34)(2, 39)(3, 40)(4, 44)(5, 33)(6, 42)(7, 35)(8, 38)(9, 52)(10, 37)(11, 54)(12, 56)(13, 51)(14, 36)(15, 50)(16, 53)(17, 55)(18, 46)(19, 47)(20, 48)(21, 49)(22, 41)(23, 43)(24, 45)(25, 64)(26, 63)(27, 62)(28, 61)(29, 58)(30, 60)(31, 57)(32, 59)(65, 99)(66, 104)(67, 106)(68, 109)(69, 103)(70, 97)(71, 102)(72, 101)(73, 117)(74, 98)(75, 116)(76, 115)(77, 114)(78, 120)(79, 100)(80, 119)(81, 118)(82, 108)(83, 110)(84, 113)(85, 107)(86, 112)(87, 105)(88, 111)(89, 126)(90, 128)(91, 125)(92, 127)(93, 121)(94, 122)(95, 123)(96, 124)
	local type(s) :: { ( 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E13.573
Transitivity :: VT+
Graph:: simple bipartite
	v = 16 e = 64 f = 24
	degree seq :: [ 8^16 ]

E13.583 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 8, 8})
Quotient :: loop^2
Aut^+ = (C8 : C2) : C2 (small group id <32, 7>)
Aut   = ((C4 x C4) : C2) : C2 (small group id <64, 134>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2^-1 * Y1, R * Y1 * R * Y2, (R * Y3)^2, (Y1^-1 * Y3 * Y2^-1)^2, (Y1^-1 * Y3 * Y1^-1)^2, Y2^8, Y3 * Y1 * Y3 * Y2^-1 * Y3 * Y1 * Y3 * Y1^-1, Y1^8 ]
Map:: polytopal non-degenerate
	R = (1, 33, 65, 97, 3, 35, 67, 99)(2, 34, 66, 98, 6, 38, 70, 102)(4, 36, 68, 100, 9, 41, 73, 105)(5, 37, 69, 101, 12, 44, 76, 108)(7, 39, 71, 103, 16, 48, 80, 112)(8, 40, 72, 104, 17, 49, 81, 113)(10, 42, 74, 106, 15, 47, 79, 111)(11, 43, 75, 107, 21, 53, 85, 117)(13, 45, 77, 109, 23, 55, 87, 119)(14, 46, 78, 110, 24, 56, 88, 120)(18, 50, 82, 114, 27, 59, 91, 123)(19, 51, 83, 115, 28, 60, 92, 124)(20, 52, 84, 116, 29, 61, 93, 125)(22, 54, 86, 118, 31, 63, 95, 127)(25, 57, 89, 121, 32, 64, 96, 128)(26, 58, 90, 122, 30, 62, 94, 126)
	L = (1, 34)(2, 37)(3, 39)(4, 33)(5, 43)(6, 45)(7, 47)(8, 35)(9, 50)(10, 36)(11, 52)(12, 40)(13, 41)(14, 38)(15, 57)(16, 58)(17, 59)(18, 60)(19, 42)(20, 51)(21, 46)(22, 44)(23, 64)(24, 48)(25, 61)(26, 49)(27, 63)(28, 62)(29, 54)(30, 53)(31, 55)(32, 56)(65, 98)(66, 101)(67, 103)(68, 97)(69, 107)(70, 109)(71, 111)(72, 99)(73, 114)(74, 100)(75, 116)(76, 104)(77, 105)(78, 102)(79, 121)(80, 122)(81, 123)(82, 124)(83, 106)(84, 115)(85, 110)(86, 108)(87, 128)(88, 112)(89, 125)(90, 113)(91, 127)(92, 126)(93, 118)(94, 117)(95, 119)(96, 120)
	local type(s) :: { ( 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E13.574
Transitivity :: VT+
Graph:: bipartite
	v = 16 e = 64 f = 24
	degree seq :: [ 8^16 ]

E13.584 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 8, 8})
Quotient :: loop^2
Aut^+ = (C8 : C2) : C2 (small group id <32, 7>)
Aut   = ((C4 x C4) : C2) : C2 (small group id <64, 136>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y1^3 * Y2, Y2^-3 * Y1^-1, (R * Y3)^2, R * Y1 * R * Y2, (Y1 * Y2^-1)^2, Y2 * Y3 * Y2 * Y1 * Y3 * Y1, Y2 * Y3 * Y1 * Y2^-1 * Y3 * Y1^-1, Y3 * Y1 * Y3 * Y2 * Y3 * Y1^-1 * Y3 * Y1^-1 ]
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, 11, 43, 75, 107)(5, 37, 69, 101, 16, 48, 80, 112)(6, 38, 70, 102, 17, 49, 81, 113)(7, 39, 71, 103, 18, 50, 82, 114)(8, 40, 72, 104, 19, 51, 83, 115)(10, 42, 74, 106, 24, 56, 88, 120)(12, 44, 76, 108, 25, 57, 89, 121)(13, 45, 77, 109, 26, 58, 90, 122)(14, 46, 78, 110, 27, 59, 91, 123)(15, 47, 79, 111, 28, 60, 92, 124)(20, 52, 84, 116, 29, 61, 93, 125)(21, 53, 85, 117, 30, 62, 94, 126)(22, 54, 86, 118, 31, 63, 95, 127)(23, 55, 87, 119, 32, 64, 96, 128)
	L = (1, 34)(2, 39)(3, 40)(4, 44)(5, 33)(6, 42)(7, 38)(8, 37)(9, 52)(10, 35)(11, 53)(12, 51)(13, 50)(14, 36)(15, 56)(16, 55)(17, 54)(18, 46)(19, 47)(20, 48)(21, 49)(22, 41)(23, 43)(24, 45)(25, 62)(26, 61)(27, 64)(28, 63)(29, 60)(30, 59)(31, 57)(32, 58)(65, 99)(66, 104)(67, 103)(68, 109)(69, 106)(70, 97)(71, 101)(72, 102)(73, 117)(74, 98)(75, 116)(76, 114)(77, 115)(78, 120)(79, 100)(80, 118)(81, 119)(82, 111)(83, 110)(84, 113)(85, 112)(86, 107)(87, 105)(88, 108)(89, 125)(90, 126)(91, 127)(92, 128)(93, 123)(94, 124)(95, 122)(96, 121)
	local type(s) :: { ( 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E13.575
Transitivity :: VT+
Graph:: simple bipartite
	v = 16 e = 64 f = 24
	degree seq :: [ 8^16 ]

E13.585 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 8, 8})
Quotient :: dipole
Aut^+ = (C8 : C2) : C2 (small group id <32, 7>)
Aut   = ((C4 x C4) : C2) : C2 (small group id <64, 134>)
|r| :: 2
Presentation :: [ Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y1^2, R^2, (R * Y3)^2, (R * Y1)^2, (Y3^-1 * Y1)^2, (Y2^2 * Y1)^2, (R * Y2 * Y3^-1)^2, (Y2 * Y1 * Y2^-1 * Y1)^2, Y2^8, (Y3 * Y2^-1)^8 ]
Map::
	R = (1, 33, 2, 34)(3, 35, 7, 39)(4, 36, 9, 41)(5, 37, 11, 43)(6, 38, 13, 45)(8, 40, 14, 46)(10, 42, 12, 44)(15, 47, 25, 57)(16, 48, 21, 53)(17, 49, 26, 58)(18, 50, 23, 55)(19, 51, 28, 60)(20, 52, 29, 61)(22, 54, 30, 62)(24, 56, 32, 64)(27, 59, 31, 63)(65, 97, 67, 99, 72, 104, 81, 113, 91, 123, 83, 115, 74, 106, 68, 100)(66, 98, 69, 101, 76, 108, 86, 118, 95, 127, 88, 120, 78, 110, 70, 102)(71, 103, 79, 111, 73, 105, 82, 114, 92, 124, 93, 125, 90, 122, 80, 112)(75, 107, 84, 116, 77, 109, 87, 119, 96, 128, 89, 121, 94, 126, 85, 117)
	L = (1, 65)(2, 66)(3, 67)(4, 68)(5, 69)(6, 70)(7, 71)(8, 72)(9, 73)(10, 74)(11, 75)(12, 76)(13, 77)(14, 78)(15, 79)(16, 80)(17, 81)(18, 82)(19, 83)(20, 84)(21, 85)(22, 86)(23, 87)(24, 88)(25, 89)(26, 90)(27, 91)(28, 92)(29, 93)(30, 94)(31, 95)(32, 96)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 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 = 20 e = 64 f = 20
	degree seq :: [ 4^16, 16^4 ]

E13.586 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 8, 8})
Quotient :: dipole
Aut^+ = (C4 x C4) : C2 (small group id <32, 11>)
Aut   = ((C4 x C4) : C2) : C2 (small group id <64, 134>)
|r| :: 2
Presentation :: [ Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y1^2, R^2, (R * Y3)^2, (R * Y1)^2, (Y3^-1 * Y1)^2, (R * Y2 * Y3^-1)^2, Y2^2 * Y1 * Y2^-2 * Y1, Y2^8, (Y2 * Y1)^4, (Y3 * Y2^-1)^8 ]
Map::
	R = (1, 33, 2, 34)(3, 35, 7, 39)(4, 36, 9, 41)(5, 37, 11, 43)(6, 38, 13, 45)(8, 40, 12, 44)(10, 42, 14, 46)(15, 47, 23, 55)(16, 48, 26, 58)(17, 49, 25, 57)(18, 50, 20, 52)(19, 51, 28, 60)(21, 53, 30, 62)(22, 54, 29, 61)(24, 56, 32, 64)(27, 59, 31, 63)(65, 97, 67, 99, 72, 104, 81, 113, 91, 123, 83, 115, 74, 106, 68, 100)(66, 98, 69, 101, 76, 108, 86, 118, 95, 127, 88, 120, 78, 110, 70, 102)(71, 103, 79, 111, 89, 121, 94, 126, 92, 124, 82, 114, 73, 105, 80, 112)(75, 107, 84, 116, 93, 125, 90, 122, 96, 128, 87, 119, 77, 109, 85, 117)
	L = (1, 65)(2, 66)(3, 67)(4, 68)(5, 69)(6, 70)(7, 71)(8, 72)(9, 73)(10, 74)(11, 75)(12, 76)(13, 77)(14, 78)(15, 79)(16, 80)(17, 81)(18, 82)(19, 83)(20, 84)(21, 85)(22, 86)(23, 87)(24, 88)(25, 89)(26, 90)(27, 91)(28, 92)(29, 93)(30, 94)(31, 95)(32, 96)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 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 = 20 e = 64 f = 20
	degree seq :: [ 4^16, 16^4 ]

E13.587 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 8, 8})
Quotient :: dipole
Aut^+ = (C8 : C2) : C2 (small group id <32, 7>)
Aut   = ((C4 x C4) : C2) : C2 (small group id <64, 134>)
|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^-2)^2, (Y2 * Y1 * Y2^-1 * Y1)^2 ]
Map:: non-degenerate
	R = (1, 33, 2, 34)(3, 35, 9, 41)(4, 36, 7, 39)(5, 37, 13, 45)(6, 38, 15, 47)(8, 40, 19, 51)(10, 42, 20, 52)(11, 43, 22, 54)(12, 44, 24, 56)(14, 46, 16, 48)(17, 49, 27, 59)(18, 50, 29, 61)(21, 53, 31, 63)(23, 55, 28, 60)(25, 57, 30, 62)(26, 58, 32, 64)(65, 97, 67, 99, 74, 106, 76, 108, 68, 100, 75, 107, 78, 110, 69, 101)(66, 98, 70, 102, 80, 112, 82, 114, 71, 103, 81, 113, 84, 116, 72, 104)(73, 105, 85, 117, 77, 109, 89, 121, 86, 118, 96, 128, 88, 120, 87, 119)(79, 111, 90, 122, 83, 115, 94, 126, 91, 123, 95, 127, 93, 125, 92, 124)
	L = (1, 68)(2, 71)(3, 75)(4, 65)(5, 76)(6, 81)(7, 66)(8, 82)(9, 86)(10, 78)(11, 67)(12, 69)(13, 88)(14, 74)(15, 91)(16, 84)(17, 70)(18, 72)(19, 93)(20, 80)(21, 96)(22, 73)(23, 89)(24, 77)(25, 87)(26, 95)(27, 79)(28, 94)(29, 83)(30, 92)(31, 90)(32, 85)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 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 = 20 e = 64 f = 20
	degree seq :: [ 4^16, 16^4 ]

E13.588 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 8, 8})
Quotient :: dipole
Aut^+ = (C4 x C4) : C2 (small group id <32, 11>)
Aut   = ((C4 x C4) : C2) : C2 (small group id <64, 134>)
|r| :: 2
Presentation :: [ Y1^2, Y3^2, R^2, (Y2^-1 * R)^2, (R * Y3)^2, Y2^-1 * Y3 * Y2 * Y3, (Y3 * Y1)^2, (R * Y1)^2, Y2^4 * Y3, Y1 * Y2^2 * Y1 * Y2^-2, (Y2^-1 * Y1)^4 ]
Map:: non-degenerate
	R = (1, 33, 2, 34)(3, 35, 9, 41)(4, 36, 7, 39)(5, 37, 13, 45)(6, 38, 15, 47)(8, 40, 19, 51)(10, 42, 16, 48)(11, 43, 22, 54)(12, 44, 24, 56)(14, 46, 20, 52)(17, 49, 27, 59)(18, 50, 29, 61)(21, 53, 30, 62)(23, 55, 32, 64)(25, 57, 26, 58)(28, 60, 31, 63)(65, 97, 67, 99, 74, 106, 76, 108, 68, 100, 75, 107, 78, 110, 69, 101)(66, 98, 70, 102, 80, 112, 82, 114, 71, 103, 81, 113, 84, 116, 72, 104)(73, 105, 85, 117, 88, 120, 95, 127, 86, 118, 89, 121, 77, 109, 87, 119)(79, 111, 90, 122, 93, 125, 96, 128, 91, 123, 94, 126, 83, 115, 92, 124)
	L = (1, 68)(2, 71)(3, 75)(4, 65)(5, 76)(6, 81)(7, 66)(8, 82)(9, 86)(10, 78)(11, 67)(12, 69)(13, 88)(14, 74)(15, 91)(16, 84)(17, 70)(18, 72)(19, 93)(20, 80)(21, 89)(22, 73)(23, 95)(24, 77)(25, 85)(26, 94)(27, 79)(28, 96)(29, 83)(30, 90)(31, 87)(32, 92)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 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 = 20 e = 64 f = 20
	degree seq :: [ 4^16, 16^4 ]

E13.589 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 8, 8})
Quotient :: dipole
Aut^+ = (C8 : C2) : C2 (small group id <32, 7>)
Aut   = ((C4 x C4) : C2) : C2 (small group id <64, 134>)
|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 * Y1, (R * Y2 * Y3)^2, (Y3 * Y2^-2)^2, R * Y2^2 * R * Y2^-2, (Y3 * Y2 * Y3 * Y2^-1)^2, (Y3 * Y2)^8 ]
Map:: non-degenerate
	R = (1, 33, 2, 34)(3, 35, 6, 38)(4, 36, 7, 39)(5, 37, 8, 40)(9, 41, 14, 46)(10, 42, 15, 47)(11, 43, 16, 48)(12, 44, 17, 49)(13, 45, 18, 50)(19, 51, 22, 54)(20, 52, 26, 58)(21, 53, 25, 57)(23, 55, 27, 59)(24, 56, 28, 60)(29, 61, 31, 63)(30, 62, 32, 64)(65, 97, 67, 99, 73, 105, 72, 104, 66, 98, 70, 102, 78, 110, 69, 101)(68, 100, 75, 107, 86, 118, 81, 113, 71, 103, 80, 112, 83, 115, 76, 108)(74, 106, 84, 116, 77, 109, 89, 121, 79, 111, 90, 122, 82, 114, 85, 117)(87, 119, 95, 127, 88, 120, 96, 128, 91, 123, 93, 125, 92, 124, 94, 126)
	L = (1, 68)(2, 71)(3, 74)(4, 65)(5, 77)(6, 79)(7, 66)(8, 82)(9, 83)(10, 67)(11, 87)(12, 88)(13, 69)(14, 86)(15, 70)(16, 91)(17, 92)(18, 72)(19, 73)(20, 93)(21, 94)(22, 78)(23, 75)(24, 76)(25, 96)(26, 95)(27, 80)(28, 81)(29, 84)(30, 85)(31, 90)(32, 89)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 4, 16, 4, 16 ), ( 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16 ) }
Outer automorphisms :: reflexible
Dual of E13.590
Graph:: bipartite
	v = 20 e = 64 f = 20
	degree seq :: [ 4^16, 16^4 ]

E13.590 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 8, 8})
Quotient :: dipole
Aut^+ = (C8 : C2) : C2 (small group id <32, 7>)
Aut   = ((C4 x C4) : C2) : C2 (small group id <64, 134>)
|r| :: 2
Presentation :: [ Y1^2, Y3^2, R^2, (Y3 * Y1)^2, (R * Y1)^2, (R * Y3)^2, Y3 * Y2^-1 * Y1 * Y3 * Y2 * Y1, Y2^-1 * R * Y2^2 * R * Y2^-1, Y2^-1 * Y3 * Y2^2 * Y1 * Y2^-1, (R * Y2 * Y3)^2, Y2^4 * Y1 * Y3, Y2^-1 * Y1 * Y2^2 * Y3 * Y2^-1, (R * Y2^-1 * Y1)^2, Y2^-1 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2^-1 * Y1 ]
Map:: non-degenerate
	R = (1, 33, 2, 34)(3, 35, 9, 41)(4, 36, 7, 39)(5, 37, 14, 46)(6, 38, 17, 49)(8, 40, 22, 54)(10, 42, 24, 56)(11, 43, 20, 52)(12, 44, 19, 51)(13, 45, 23, 55)(15, 47, 21, 53)(16, 48, 18, 50)(25, 57, 31, 63)(26, 58, 30, 62)(27, 59, 29, 61)(28, 60, 32, 64)(65, 97, 67, 99, 74, 106, 85, 117, 71, 103, 84, 116, 80, 112, 69, 101)(66, 98, 70, 102, 82, 114, 77, 109, 68, 100, 76, 108, 88, 120, 72, 104)(73, 105, 89, 121, 78, 110, 92, 124, 75, 107, 91, 123, 79, 111, 90, 122)(81, 113, 93, 125, 86, 118, 96, 128, 83, 115, 95, 127, 87, 119, 94, 126)
	L = (1, 68)(2, 71)(3, 75)(4, 65)(5, 79)(6, 83)(7, 66)(8, 87)(9, 84)(10, 82)(11, 67)(12, 81)(13, 86)(14, 85)(15, 69)(16, 88)(17, 76)(18, 74)(19, 70)(20, 73)(21, 78)(22, 77)(23, 72)(24, 80)(25, 93)(26, 96)(27, 95)(28, 94)(29, 89)(30, 92)(31, 91)(32, 90)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 4, 16, 4, 16 ), ( 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16 ) }
Outer automorphisms :: reflexible
Dual of E13.589
Graph:: bipartite
	v = 20 e = 64 f = 20
	degree seq :: [ 4^16, 16^4 ]

E13.591 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 8, 8})
Quotient :: dipole
Aut^+ = (C8 : C2) : C2 (small group id <32, 7>)
Aut   = ((C4 x C4) : C2) : C2 (small group id <64, 134>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2 * Y3 * Y2, (Y1 * Y3^-1)^2, (R * Y1)^2, (R * Y3)^2, (R * Y2)^2, Y3^4, (Y2 * Y1 * Y2^-1 * Y1)^2 ]
Map:: non-degenerate
	R = (1, 33, 2, 34)(3, 35, 11, 43)(4, 36, 10, 42)(5, 37, 15, 47)(6, 38, 8, 40)(7, 39, 16, 48)(9, 41, 20, 52)(12, 44, 22, 54)(13, 45, 18, 50)(14, 46, 24, 56)(17, 49, 27, 59)(19, 51, 29, 61)(21, 53, 31, 63)(23, 55, 28, 60)(25, 57, 30, 62)(26, 58, 32, 64)(65, 97, 67, 99, 70, 102, 76, 108, 77, 109, 78, 110, 68, 100, 69, 101)(66, 98, 71, 103, 74, 106, 81, 113, 82, 114, 83, 115, 72, 104, 73, 105)(75, 107, 85, 117, 79, 111, 89, 121, 88, 120, 96, 128, 86, 118, 87, 119)(80, 112, 90, 122, 84, 116, 94, 126, 93, 125, 95, 127, 91, 123, 92, 124)
	L = (1, 68)(2, 72)(3, 69)(4, 77)(5, 78)(6, 65)(7, 73)(8, 82)(9, 83)(10, 66)(11, 86)(12, 67)(13, 70)(14, 76)(15, 75)(16, 91)(17, 71)(18, 74)(19, 81)(20, 80)(21, 87)(22, 88)(23, 96)(24, 79)(25, 85)(26, 92)(27, 93)(28, 95)(29, 84)(30, 90)(31, 94)(32, 89)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 4, 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 = 20 e = 64 f = 20
	degree seq :: [ 4^16, 16^4 ]

E13.592 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 8, 8})
Quotient :: dipole
Aut^+ = (C8 : C2) : C2 (small group id <32, 7>)
Aut   = ((C4 x C4) : C2) : C2 (small group id <64, 134>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2 * Y3^-1 * Y2, (Y1 * Y3)^2, (R * Y1)^2, (R * Y2)^2, (R * Y3)^2, Y3^4, R * Y1 * Y2 * R * Y2^-1 * Y1 * Y3^-1, (Y2 * Y1 * Y2^-1 * Y1)^2 ]
Map:: non-degenerate
	R = (1, 33, 2, 34)(3, 35, 11, 43)(4, 36, 10, 42)(5, 37, 14, 46)(6, 38, 8, 40)(7, 39, 16, 48)(9, 41, 19, 51)(12, 44, 23, 55)(13, 45, 18, 50)(15, 47, 25, 57)(17, 49, 28, 60)(20, 52, 30, 62)(21, 53, 31, 63)(22, 54, 27, 59)(24, 56, 29, 61)(26, 58, 32, 64)(65, 97, 67, 99, 68, 100, 76, 108, 77, 109, 79, 111, 70, 102, 69, 101)(66, 98, 71, 103, 72, 104, 81, 113, 82, 114, 84, 116, 74, 106, 73, 105)(75, 107, 85, 117, 78, 110, 88, 120, 89, 121, 96, 128, 87, 119, 86, 118)(80, 112, 90, 122, 83, 115, 93, 125, 94, 126, 95, 127, 92, 124, 91, 123)
	L = (1, 68)(2, 72)(3, 76)(4, 77)(5, 67)(6, 65)(7, 81)(8, 82)(9, 71)(10, 66)(11, 78)(12, 79)(13, 70)(14, 89)(15, 69)(16, 83)(17, 84)(18, 74)(19, 94)(20, 73)(21, 88)(22, 85)(23, 75)(24, 96)(25, 87)(26, 93)(27, 90)(28, 80)(29, 95)(30, 92)(31, 91)(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, 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 = 20 e = 64 f = 20
	degree seq :: [ 4^16, 16^4 ]

E13.593 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 8, 8})
Quotient :: halfedge^2
Aut^+ = (C8 x C2) : C2 (small group id <32, 9>)
Aut   = (C4 x D8) : C2 (small group id <64, 140>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, Y1^2 * Y3 * Y2, R * Y3 * R * Y2, (R * Y1)^2, Y1^8, Y3 * Y1^-1 * Y3 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1, Y3 * Y2 * Y3 * Y2 * Y1^-1 * Y3 * Y2 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 34, 2, 38, 6, 46, 14, 58, 26, 56, 24, 44, 12, 37, 5, 33)(3, 41, 9, 36, 4, 43, 11, 54, 22, 60, 28, 47, 15, 42, 10, 35)(7, 48, 16, 40, 8, 50, 18, 45, 13, 57, 25, 59, 27, 49, 17, 39)(19, 61, 29, 52, 20, 62, 30, 53, 21, 63, 31, 55, 23, 64, 32, 51)
	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, 36)(34, 40)(35, 38)(37, 45)(39, 46)(41, 52)(42, 53)(43, 51)(44, 54)(47, 58)(48, 62)(49, 63)(50, 61)(55, 60)(56, 59)(57, 64)
	local type(s) :: { ( 16^16 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+ AT
Graph:: bipartite
	v = 4 e = 32 f = 4
	degree seq :: [ 16^4 ]

E13.594 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 8, 8})
Quotient :: halfedge^2
Aut^+ = (C8 x C2) : C2 (small group id <32, 9>)
Aut   = (C4 x D8) : C2 (small group id <64, 140>)
|r| :: 2
Presentation :: [ R^2, Y2^2, 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 * Y3 * Y1^-1)^2, (Y3 * Y1)^4, Y2 * Y1 * Y2 * Y1^-1 * Y3 * Y1^-1 * Y2 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 34, 2, 38, 6, 46, 14, 58, 26, 54, 22, 42, 10, 37, 5, 33)(3, 41, 9, 51, 19, 60, 28, 47, 15, 44, 12, 36, 4, 43, 11, 35)(7, 48, 16, 45, 13, 57, 25, 59, 27, 50, 18, 40, 8, 49, 17, 39)(20, 61, 29, 55, 23, 63, 31, 56, 24, 64, 32, 53, 21, 62, 30, 52)
	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, 36)(34, 40)(35, 42)(37, 39)(38, 47)(41, 53)(43, 52)(44, 55)(45, 54)(46, 59)(48, 62)(49, 61)(50, 63)(51, 58)(56, 60)(57, 64)
	local type(s) :: { ( 16^16 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+ AT
Graph:: bipartite
	v = 4 e = 32 f = 4
	degree seq :: [ 16^4 ]

E13.595 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 8, 8})
Quotient :: edge^2
Aut^+ = (C8 x C2) : C2 (small group id <32, 9>)
Aut   = (C4 x D8) : C2 (small group id <64, 140>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, R * Y2 * R * Y1, (R * Y3)^2, Y2 * Y3^-2 * Y1, Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1, Y3^-1 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3^-1 * Y1, Y3 * Y2 * Y3^-1 * Y2 * Y3^-1 * Y2 * Y3^-1 * Y1, Y1 * Y2 * Y3^6, (Y3^-1 * Y2 * Y3 * Y1)^2 ]
Map::
	R = (1, 33, 4, 36, 6, 38, 15, 47, 26, 58, 20, 52, 9, 41, 5, 37)(2, 34, 7, 39, 3, 35, 10, 42, 19, 51, 27, 59, 14, 46, 8, 40)(11, 43, 22, 54, 12, 44, 24, 56, 13, 45, 25, 57, 28, 60, 23, 55)(16, 48, 29, 61, 17, 49, 31, 63, 18, 50, 32, 64, 21, 53, 30, 62)(65, 66)(67, 73)(68, 75)(69, 76)(70, 78)(71, 80)(72, 81)(74, 85)(77, 84)(79, 92)(82, 91)(83, 90)(86, 93)(87, 95)(88, 94)(89, 96)(97, 99)(98, 102)(100, 108)(101, 109)(103, 113)(104, 114)(105, 115)(106, 112)(107, 111)(110, 122)(116, 124)(117, 123)(118, 127)(119, 128)(120, 125)(121, 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, 32 ), ( 32^16 ) }
Outer automorphisms :: reflexible
Dual of E13.599
Graph:: simple bipartite
	v = 36 e = 64 f = 4
	degree seq :: [ 2^32, 16^4 ]

E13.596 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 8, 8})
Quotient :: edge^2
Aut^+ = (C8 x C2) : C2 (small group id <32, 9>)
Aut   = (C4 x D8) : C2 (small group id <64, 140>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^2 * Y1 * Y2, R * Y2 * R * Y1, (R * Y3)^2, Y3^-1 * Y2 * Y3 * Y2 * Y3^-1 * Y2 * Y3^-1 * Y1, Y3 * Y2 * Y1 * Y2 * Y1 * Y3 * Y2 * Y1, (Y3 * Y2 * Y3^-1 * Y1)^2 ]
Map::
	R = (1, 33, 4, 36, 9, 41, 20, 52, 26, 58, 15, 47, 6, 38, 5, 37)(2, 34, 7, 39, 14, 46, 27, 59, 19, 51, 10, 42, 3, 35, 8, 40)(11, 43, 22, 54, 13, 45, 25, 57, 28, 60, 24, 56, 12, 44, 23, 55)(16, 48, 29, 61, 18, 50, 32, 64, 21, 53, 31, 63, 17, 49, 30, 62)(65, 66)(67, 73)(68, 75)(69, 77)(70, 78)(71, 80)(72, 82)(74, 85)(76, 84)(79, 92)(81, 91)(83, 90)(86, 93)(87, 96)(88, 95)(89, 94)(97, 99)(98, 102)(100, 108)(101, 107)(103, 113)(104, 112)(105, 115)(106, 114)(109, 111)(110, 122)(116, 124)(117, 123)(118, 126)(119, 125)(120, 128)(121, 127)
	L = (1, 65)(2, 66)(3, 67)(4, 68)(5, 69)(6, 70)(7, 71)(8, 72)(9, 73)(10, 74)(11, 75)(12, 76)(13, 77)(14, 78)(15, 79)(16, 80)(17, 81)(18, 82)(19, 83)(20, 84)(21, 85)(22, 86)(23, 87)(24, 88)(25, 89)(26, 90)(27, 91)(28, 92)(29, 93)(30, 94)(31, 95)(32, 96)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 32, 32 ), ( 32^16 ) }
Outer automorphisms :: reflexible
Dual of E13.600
Graph:: simple bipartite
	v = 36 e = 64 f = 4
	degree seq :: [ 2^32, 16^4 ]

E13.597 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 8, 8})
Quotient :: edge^2
Aut^+ = (C8 x C2) : C2 (small group id <32, 9>)
Aut   = C2 x ((C8 x C2) : C2) (small group id <64, 95>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2^-1 * Y1^-1, R * Y1 * R * Y2, (R * Y3)^2, (Y3 * Y2 * Y1^-1)^2, Y3 * Y1 * Y3 * Y1^-1 * Y3 * Y2 * Y3 * Y2^-1, Y2^8, Y1^8 ]
Map:: non-degenerate
	R = (1, 33, 4, 36)(2, 34, 6, 38)(3, 35, 8, 40)(5, 37, 12, 44)(7, 39, 16, 48)(9, 41, 18, 50)(10, 42, 19, 51)(11, 43, 21, 53)(13, 45, 23, 55)(14, 46, 24, 56)(15, 47, 25, 57)(17, 49, 27, 59)(20, 52, 28, 60)(22, 54, 30, 62)(26, 58, 31, 63)(29, 61, 32, 64)(65, 66, 69, 75, 84, 79, 71, 67)(68, 73, 80, 90, 92, 86, 76, 74)(70, 77, 72, 81, 89, 93, 85, 78)(82, 87, 83, 88, 94, 96, 95, 91)(97, 99, 103, 111, 116, 107, 101, 98)(100, 106, 108, 118, 124, 122, 112, 105)(102, 110, 117, 125, 121, 113, 104, 109)(114, 123, 127, 128, 126, 120, 115, 119)
	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) :: { ( 8^4 ), ( 8^8 ) }
Outer automorphisms :: reflexible
Dual of E13.601
Graph:: simple bipartite
	v = 24 e = 64 f = 16
	degree seq :: [ 4^16, 8^8 ]

E13.598 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 8, 8})
Quotient :: edge^2
Aut^+ = (C8 x C2) : C2 (small group id <32, 9>)
Aut   = (C2 x (C8 : C2)) : C2 (small group id <64, 99>)
|r| :: 2
Presentation :: [ R^2, Y3^2, (Y2, Y1), Y1^-1 * Y2^-2 * Y1^-1, (Y2^-1, Y1^-1), (Y2 * Y1)^2, (R * Y3)^2, Y1^-2 * Y2 * Y1^-1, R * Y1 * R * Y2, Y2 * Y3 * Y1^2 * Y3 * Y1^-1, (Y2^-1 * Y3 * Y1^-1)^2, Y1^-1 * Y3 * Y1 * Y2 * Y3 * Y2^-1, Y3 * Y1 * Y3 * Y1^-1 * Y3 * Y2^-1 * Y3 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 33, 4, 36)(2, 34, 9, 41)(3, 35, 11, 43)(5, 37, 16, 48)(6, 38, 17, 49)(7, 39, 18, 50)(8, 40, 19, 51)(10, 42, 24, 56)(12, 44, 25, 57)(13, 45, 26, 58)(14, 46, 27, 59)(15, 47, 28, 60)(20, 52, 29, 61)(21, 53, 30, 62)(22, 54, 31, 63)(23, 55, 32, 64)(65, 66, 71, 67, 72, 70, 74, 69)(68, 76, 88, 77, 83, 79, 82, 78)(73, 84, 80, 85, 81, 87, 75, 86)(89, 93, 91, 95, 92, 96, 90, 94)(97, 99, 106, 98, 104, 101, 103, 102)(100, 109, 114, 108, 115, 110, 120, 111)(105, 117, 107, 116, 113, 118, 112, 119)(121, 127, 122, 125, 124, 126, 123, 128)
	L = (1, 65)(2, 66)(3, 67)(4, 68)(5, 69)(6, 70)(7, 71)(8, 72)(9, 73)(10, 74)(11, 75)(12, 76)(13, 77)(14, 78)(15, 79)(16, 80)(17, 81)(18, 82)(19, 83)(20, 84)(21, 85)(22, 86)(23, 87)(24, 88)(25, 89)(26, 90)(27, 91)(28, 92)(29, 93)(30, 94)(31, 95)(32, 96)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 8^4 ), ( 8^8 ) }
Outer automorphisms :: reflexible
Dual of E13.602
Graph:: simple bipartite
	v = 24 e = 64 f = 16
	degree seq :: [ 4^16, 8^8 ]

E13.599 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 8, 8})
Quotient :: loop^2
Aut^+ = (C8 x C2) : C2 (small group id <32, 9>)
Aut   = (C4 x D8) : C2 (small group id <64, 140>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, R * Y2 * R * Y1, (R * Y3)^2, Y2 * Y3^-2 * Y1, Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1, Y3^-1 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3^-1 * Y1, Y3 * Y2 * Y3^-1 * Y2 * Y3^-1 * Y2 * Y3^-1 * Y1, Y1 * Y2 * Y3^6, (Y3^-1 * Y2 * Y3 * Y1)^2 ]
Map::
	R = (1, 33, 65, 97, 4, 36, 68, 100, 6, 38, 70, 102, 15, 47, 79, 111, 26, 58, 90, 122, 20, 52, 84, 116, 9, 41, 73, 105, 5, 37, 69, 101)(2, 34, 66, 98, 7, 39, 71, 103, 3, 35, 67, 99, 10, 42, 74, 106, 19, 51, 83, 115, 27, 59, 91, 123, 14, 46, 78, 110, 8, 40, 72, 104)(11, 43, 75, 107, 22, 54, 86, 118, 12, 44, 76, 108, 24, 56, 88, 120, 13, 45, 77, 109, 25, 57, 89, 121, 28, 60, 92, 124, 23, 55, 87, 119)(16, 48, 80, 112, 29, 61, 93, 125, 17, 49, 81, 113, 31, 63, 95, 127, 18, 50, 82, 114, 32, 64, 96, 128, 21, 53, 85, 117, 30, 62, 94, 126)
	L = (1, 34)(2, 33)(3, 41)(4, 43)(5, 44)(6, 46)(7, 48)(8, 49)(9, 35)(10, 53)(11, 36)(12, 37)(13, 52)(14, 38)(15, 60)(16, 39)(17, 40)(18, 59)(19, 58)(20, 45)(21, 42)(22, 61)(23, 63)(24, 62)(25, 64)(26, 51)(27, 50)(28, 47)(29, 54)(30, 56)(31, 55)(32, 57)(65, 99)(66, 102)(67, 97)(68, 108)(69, 109)(70, 98)(71, 113)(72, 114)(73, 115)(74, 112)(75, 111)(76, 100)(77, 101)(78, 122)(79, 107)(80, 106)(81, 103)(82, 104)(83, 105)(84, 124)(85, 123)(86, 127)(87, 128)(88, 125)(89, 126)(90, 110)(91, 117)(92, 116)(93, 120)(94, 121)(95, 118)(96, 119)
	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 E13.595
Transitivity :: VT+
Graph:: bipartite
	v = 4 e = 64 f = 36
	degree seq :: [ 32^4 ]

E13.600 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 8, 8})
Quotient :: loop^2
Aut^+ = (C8 x C2) : C2 (small group id <32, 9>)
Aut   = (C4 x D8) : C2 (small group id <64, 140>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^2 * Y1 * Y2, R * Y2 * R * Y1, (R * Y3)^2, Y3^-1 * Y2 * Y3 * Y2 * Y3^-1 * Y2 * Y3^-1 * Y1, Y3 * Y2 * Y1 * Y2 * Y1 * Y3 * Y2 * Y1, (Y3 * Y2 * Y3^-1 * Y1)^2 ]
Map::
	R = (1, 33, 65, 97, 4, 36, 68, 100, 9, 41, 73, 105, 20, 52, 84, 116, 26, 58, 90, 122, 15, 47, 79, 111, 6, 38, 70, 102, 5, 37, 69, 101)(2, 34, 66, 98, 7, 39, 71, 103, 14, 46, 78, 110, 27, 59, 91, 123, 19, 51, 83, 115, 10, 42, 74, 106, 3, 35, 67, 99, 8, 40, 72, 104)(11, 43, 75, 107, 22, 54, 86, 118, 13, 45, 77, 109, 25, 57, 89, 121, 28, 60, 92, 124, 24, 56, 88, 120, 12, 44, 76, 108, 23, 55, 87, 119)(16, 48, 80, 112, 29, 61, 93, 125, 18, 50, 82, 114, 32, 64, 96, 128, 21, 53, 85, 117, 31, 63, 95, 127, 17, 49, 81, 113, 30, 62, 94, 126)
	L = (1, 34)(2, 33)(3, 41)(4, 43)(5, 45)(6, 46)(7, 48)(8, 50)(9, 35)(10, 53)(11, 36)(12, 52)(13, 37)(14, 38)(15, 60)(16, 39)(17, 59)(18, 40)(19, 58)(20, 44)(21, 42)(22, 61)(23, 64)(24, 63)(25, 62)(26, 51)(27, 49)(28, 47)(29, 54)(30, 57)(31, 56)(32, 55)(65, 99)(66, 102)(67, 97)(68, 108)(69, 107)(70, 98)(71, 113)(72, 112)(73, 115)(74, 114)(75, 101)(76, 100)(77, 111)(78, 122)(79, 109)(80, 104)(81, 103)(82, 106)(83, 105)(84, 124)(85, 123)(86, 126)(87, 125)(88, 128)(89, 127)(90, 110)(91, 117)(92, 116)(93, 119)(94, 118)(95, 121)(96, 120)
	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 E13.596
Transitivity :: VT+
Graph:: bipartite
	v = 4 e = 64 f = 36
	degree seq :: [ 32^4 ]

E13.601 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 8, 8})
Quotient :: loop^2
Aut^+ = (C8 x C2) : C2 (small group id <32, 9>)
Aut   = C2 x ((C8 x C2) : C2) (small group id <64, 95>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2^-1 * Y1^-1, R * Y1 * R * Y2, (R * Y3)^2, (Y3 * Y2 * Y1^-1)^2, Y3 * Y1 * Y3 * Y1^-1 * Y3 * Y2 * Y3 * Y2^-1, Y2^8, Y1^8 ]
Map:: non-degenerate
	R = (1, 33, 65, 97, 4, 36, 68, 100)(2, 34, 66, 98, 6, 38, 70, 102)(3, 35, 67, 99, 8, 40, 72, 104)(5, 37, 69, 101, 12, 44, 76, 108)(7, 39, 71, 103, 16, 48, 80, 112)(9, 41, 73, 105, 18, 50, 82, 114)(10, 42, 74, 106, 19, 51, 83, 115)(11, 43, 75, 107, 21, 53, 85, 117)(13, 45, 77, 109, 23, 55, 87, 119)(14, 46, 78, 110, 24, 56, 88, 120)(15, 47, 79, 111, 25, 57, 89, 121)(17, 49, 81, 113, 27, 59, 91, 123)(20, 52, 84, 116, 28, 60, 92, 124)(22, 54, 86, 118, 30, 62, 94, 126)(26, 58, 90, 122, 31, 63, 95, 127)(29, 61, 93, 125, 32, 64, 96, 128)
	L = (1, 34)(2, 37)(3, 33)(4, 41)(5, 43)(6, 45)(7, 35)(8, 49)(9, 48)(10, 36)(11, 52)(12, 42)(13, 40)(14, 38)(15, 39)(16, 58)(17, 57)(18, 55)(19, 56)(20, 47)(21, 46)(22, 44)(23, 51)(24, 62)(25, 61)(26, 60)(27, 50)(28, 54)(29, 53)(30, 64)(31, 59)(32, 63)(65, 99)(66, 97)(67, 103)(68, 106)(69, 98)(70, 110)(71, 111)(72, 109)(73, 100)(74, 108)(75, 101)(76, 118)(77, 102)(78, 117)(79, 116)(80, 105)(81, 104)(82, 123)(83, 119)(84, 107)(85, 125)(86, 124)(87, 114)(88, 115)(89, 113)(90, 112)(91, 127)(92, 122)(93, 121)(94, 120)(95, 128)(96, 126)
	local type(s) :: { ( 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E13.597
Transitivity :: VT+
Graph:: bipartite
	v = 16 e = 64 f = 24
	degree seq :: [ 8^16 ]

E13.602 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 8, 8})
Quotient :: loop^2
Aut^+ = (C8 x C2) : C2 (small group id <32, 9>)
Aut   = (C2 x (C8 : C2)) : C2 (small group id <64, 99>)
|r| :: 2
Presentation :: [ R^2, Y3^2, (Y2, Y1), Y1^-1 * Y2^-2 * Y1^-1, (Y2^-1, Y1^-1), (Y2 * Y1)^2, (R * Y3)^2, Y1^-2 * Y2 * Y1^-1, R * Y1 * R * Y2, Y2 * Y3 * Y1^2 * Y3 * Y1^-1, (Y2^-1 * Y3 * Y1^-1)^2, Y1^-1 * Y3 * Y1 * Y2 * Y3 * Y2^-1, Y3 * Y1 * Y3 * Y1^-1 * Y3 * Y2^-1 * Y3 * Y1^-1 ]
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, 11, 43, 75, 107)(5, 37, 69, 101, 16, 48, 80, 112)(6, 38, 70, 102, 17, 49, 81, 113)(7, 39, 71, 103, 18, 50, 82, 114)(8, 40, 72, 104, 19, 51, 83, 115)(10, 42, 74, 106, 24, 56, 88, 120)(12, 44, 76, 108, 25, 57, 89, 121)(13, 45, 77, 109, 26, 58, 90, 122)(14, 46, 78, 110, 27, 59, 91, 123)(15, 47, 79, 111, 28, 60, 92, 124)(20, 52, 84, 116, 29, 61, 93, 125)(21, 53, 85, 117, 30, 62, 94, 126)(22, 54, 86, 118, 31, 63, 95, 127)(23, 55, 87, 119, 32, 64, 96, 128)
	L = (1, 34)(2, 39)(3, 40)(4, 44)(5, 33)(6, 42)(7, 35)(8, 38)(9, 52)(10, 37)(11, 54)(12, 56)(13, 51)(14, 36)(15, 50)(16, 53)(17, 55)(18, 46)(19, 47)(20, 48)(21, 49)(22, 41)(23, 43)(24, 45)(25, 61)(26, 62)(27, 63)(28, 64)(29, 59)(30, 57)(31, 60)(32, 58)(65, 99)(66, 104)(67, 106)(68, 109)(69, 103)(70, 97)(71, 102)(72, 101)(73, 117)(74, 98)(75, 116)(76, 115)(77, 114)(78, 120)(79, 100)(80, 119)(81, 118)(82, 108)(83, 110)(84, 113)(85, 107)(86, 112)(87, 105)(88, 111)(89, 127)(90, 125)(91, 128)(92, 126)(93, 124)(94, 123)(95, 122)(96, 121)
	local type(s) :: { ( 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E13.598
Transitivity :: VT+
Graph:: simple bipartite
	v = 16 e = 64 f = 24
	degree seq :: [ 8^16 ]

E13.603 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 8, 8})
Quotient :: halfedge^2
Aut^+ = (C4 x C4) : C2 (small group id <32, 11>)
Aut   = ((C4 x C4) : C2) : C2 (small group id <64, 135>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, (Y2 * Y3)^2, (R * Y1)^2, R * Y3 * R * Y2, Y2 * Y1^-1 * Y2 * Y3 * Y1 * Y3, Y1 * Y3 * Y2 * Y1^3, Y1^-1 * Y3 * Y1^-2 * Y2 * Y1^-1, (Y3 * Y1^-1)^4, Y2 * Y1 * Y3 * Y1^-1 * Y3 * Y1 * Y3 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 34, 2, 38, 6, 49, 17, 42, 10, 53, 21, 48, 16, 37, 5, 33)(3, 41, 9, 50, 18, 45, 13, 36, 4, 44, 12, 51, 19, 43, 11, 35)(7, 52, 20, 47, 15, 56, 24, 40, 8, 55, 23, 46, 14, 54, 22, 39)(25, 62, 30, 60, 28, 63, 31, 58, 26, 61, 29, 59, 27, 64, 32, 57)
	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, 36)(34, 40)(35, 42)(37, 47)(38, 51)(39, 53)(41, 58)(43, 60)(44, 57)(45, 59)(46, 49)(48, 50)(52, 62)(54, 64)(55, 61)(56, 63)
	local type(s) :: { ( 16^16 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+ AT
Graph:: bipartite
	v = 4 e = 32 f = 4
	degree seq :: [ 16^4 ]

E13.604 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 8, 8})
Quotient :: edge^2
Aut^+ = (C4 x C4) : C2 (small group id <32, 11>)
Aut   = ((C4 x C4) : C2) : C2 (small group id <64, 135>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, (Y1 * Y2)^2, R * Y2 * R * Y1, (R * Y3)^2, Y3^4 * Y1 * Y2, Y3^-1 * Y1 * Y3^2 * Y1 * Y3^-1, Y3^-1 * Y2 * Y3^2 * Y2 * Y3^-1, Y3^-1 * Y1 * Y3 * Y2 * Y3^-1 * Y1 * Y3 * Y1, Y3^-1 * Y2 * Y3 * Y2 * Y3^-1 * Y2 * Y3 * Y1 ]
Map::
	R = (1, 33, 4, 36, 13, 45, 18, 50, 6, 38, 17, 49, 16, 48, 5, 37)(2, 34, 7, 39, 21, 53, 10, 42, 3, 35, 9, 41, 24, 56, 8, 40)(11, 43, 25, 57, 15, 47, 28, 60, 12, 44, 27, 59, 14, 46, 26, 58)(19, 51, 29, 61, 23, 55, 32, 64, 20, 52, 31, 63, 22, 54, 30, 62)(65, 66)(67, 70)(68, 75)(69, 78)(71, 83)(72, 86)(73, 84)(74, 87)(76, 81)(77, 85)(79, 82)(80, 88)(89, 95)(90, 96)(91, 93)(92, 94)(97, 99)(98, 102)(100, 108)(101, 111)(103, 116)(104, 119)(105, 115)(106, 118)(107, 113)(109, 120)(110, 114)(112, 117)(121, 125)(122, 126)(123, 127)(124, 128)
	L = (1, 65)(2, 66)(3, 67)(4, 68)(5, 69)(6, 70)(7, 71)(8, 72)(9, 73)(10, 74)(11, 75)(12, 76)(13, 77)(14, 78)(15, 79)(16, 80)(17, 81)(18, 82)(19, 83)(20, 84)(21, 85)(22, 86)(23, 87)(24, 88)(25, 89)(26, 90)(27, 91)(28, 92)(29, 93)(30, 94)(31, 95)(32, 96)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 32, 32 ), ( 32^16 ) }
Outer automorphisms :: reflexible
Dual of E13.607
Graph:: simple bipartite
	v = 36 e = 64 f = 4
	degree seq :: [ 2^32, 16^4 ]

E13.605 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 8, 8})
Quotient :: edge^2
Aut^+ = (C4 x C4) : C2 (small group id <32, 11>)
Aut   = C2 x ((C4 x C4) : C2) (small group id <64, 101>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2 * Y1, (R * Y3)^2, R * Y1 * R * Y2, Y2^2 * Y3 * Y2^-2 * Y3, Y3 * Y1^2 * Y3 * Y1^-2, Y2 * Y3 * Y1 * Y2^-1 * Y3 * Y1^-1, Y3 * Y2^2 * Y3 * Y2^-2, Y2^8, Y3 * Y2 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1, Y1^8 ]
Map:: non-degenerate
	R = (1, 33, 4, 36)(2, 34, 6, 38)(3, 35, 8, 40)(5, 37, 12, 44)(7, 39, 16, 48)(9, 41, 18, 50)(10, 42, 19, 51)(11, 43, 21, 53)(13, 45, 23, 55)(14, 46, 24, 56)(15, 47, 25, 57)(17, 49, 27, 59)(20, 52, 29, 61)(22, 54, 31, 63)(26, 58, 32, 64)(28, 60, 30, 62)(65, 66, 69, 75, 84, 79, 71, 67)(68, 73, 76, 86, 93, 90, 80, 74)(70, 77, 85, 94, 89, 81, 72, 78)(82, 91, 95, 88, 96, 87, 83, 92)(97, 99, 103, 111, 116, 107, 101, 98)(100, 106, 112, 122, 125, 118, 108, 105)(102, 110, 104, 113, 121, 126, 117, 109)(114, 124, 115, 119, 128, 120, 127, 123)
	L = (1, 65)(2, 66)(3, 67)(4, 68)(5, 69)(6, 70)(7, 71)(8, 72)(9, 73)(10, 74)(11, 75)(12, 76)(13, 77)(14, 78)(15, 79)(16, 80)(17, 81)(18, 82)(19, 83)(20, 84)(21, 85)(22, 86)(23, 87)(24, 88)(25, 89)(26, 90)(27, 91)(28, 92)(29, 93)(30, 94)(31, 95)(32, 96)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 8^4 ), ( 8^8 ) }
Outer automorphisms :: reflexible
Dual of E13.608
Graph:: simple bipartite
	v = 24 e = 64 f = 16
	degree seq :: [ 4^16, 8^8 ]

E13.606 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 8, 8})
Quotient :: edge^2
Aut^+ = (C4 x C4) : C2 (small group id <32, 11>)
Aut   = (C2 x (C8 : C2)) : C2 (small group id <64, 102>)
|r| :: 2
Presentation :: [ R^2, Y3^2, (Y1^-1, Y2^-1), Y2^3 * Y1^-1, (Y1 * Y2)^2, Y1^-2 * Y2^-2, R * Y1 * R * Y2, (R * Y3)^2, Y2^-1 * Y3 * Y2 * Y1 * Y3 * Y1^-1, Y2 * Y3 * Y2^-2 * Y3 * Y2, Y3 * Y1 * Y3 * Y1 * Y3 * Y1^-1 * Y3 * Y2 ]
Map:: polytopal non-degenerate
	R = (1, 33, 4, 36)(2, 34, 9, 41)(3, 35, 11, 43)(5, 37, 16, 48)(6, 38, 17, 49)(7, 39, 18, 50)(8, 40, 19, 51)(10, 42, 24, 56)(12, 44, 25, 57)(13, 45, 26, 58)(14, 46, 27, 59)(15, 47, 28, 60)(20, 52, 29, 61)(21, 53, 30, 62)(22, 54, 31, 63)(23, 55, 32, 64)(65, 66, 71, 67, 72, 70, 74, 69)(68, 76, 82, 77, 83, 79, 88, 78)(73, 84, 75, 85, 81, 87, 80, 86)(89, 96, 90, 95, 92, 93, 91, 94)(97, 99, 106, 98, 104, 101, 103, 102)(100, 109, 120, 108, 115, 110, 114, 111)(105, 117, 112, 116, 113, 118, 107, 119)(121, 127, 123, 128, 124, 126, 122, 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) :: { ( 8^4 ), ( 8^8 ) }
Outer automorphisms :: reflexible
Dual of E13.609
Graph:: simple bipartite
	v = 24 e = 64 f = 16
	degree seq :: [ 4^16, 8^8 ]

E13.607 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 8, 8})
Quotient :: loop^2
Aut^+ = (C4 x C4) : C2 (small group id <32, 11>)
Aut   = ((C4 x C4) : C2) : C2 (small group id <64, 135>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, (Y1 * Y2)^2, R * Y2 * R * Y1, (R * Y3)^2, Y3^4 * Y1 * Y2, Y3^-1 * Y1 * Y3^2 * Y1 * Y3^-1, Y3^-1 * Y2 * Y3^2 * Y2 * Y3^-1, Y3^-1 * Y1 * Y3 * Y2 * Y3^-1 * Y1 * Y3 * Y1, Y3^-1 * Y2 * Y3 * Y2 * Y3^-1 * Y2 * Y3 * Y1 ]
Map::
	R = (1, 33, 65, 97, 4, 36, 68, 100, 13, 45, 77, 109, 18, 50, 82, 114, 6, 38, 70, 102, 17, 49, 81, 113, 16, 48, 80, 112, 5, 37, 69, 101)(2, 34, 66, 98, 7, 39, 71, 103, 21, 53, 85, 117, 10, 42, 74, 106, 3, 35, 67, 99, 9, 41, 73, 105, 24, 56, 88, 120, 8, 40, 72, 104)(11, 43, 75, 107, 25, 57, 89, 121, 15, 47, 79, 111, 28, 60, 92, 124, 12, 44, 76, 108, 27, 59, 91, 123, 14, 46, 78, 110, 26, 58, 90, 122)(19, 51, 83, 115, 29, 61, 93, 125, 23, 55, 87, 119, 32, 64, 96, 128, 20, 52, 84, 116, 31, 63, 95, 127, 22, 54, 86, 118, 30, 62, 94, 126)
	L = (1, 34)(2, 33)(3, 38)(4, 43)(5, 46)(6, 35)(7, 51)(8, 54)(9, 52)(10, 55)(11, 36)(12, 49)(13, 53)(14, 37)(15, 50)(16, 56)(17, 44)(18, 47)(19, 39)(20, 41)(21, 45)(22, 40)(23, 42)(24, 48)(25, 63)(26, 64)(27, 61)(28, 62)(29, 59)(30, 60)(31, 57)(32, 58)(65, 99)(66, 102)(67, 97)(68, 108)(69, 111)(70, 98)(71, 116)(72, 119)(73, 115)(74, 118)(75, 113)(76, 100)(77, 120)(78, 114)(79, 101)(80, 117)(81, 107)(82, 110)(83, 105)(84, 103)(85, 112)(86, 106)(87, 104)(88, 109)(89, 125)(90, 126)(91, 127)(92, 128)(93, 121)(94, 122)(95, 123)(96, 124)
	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 E13.604
Transitivity :: VT+
Graph:: bipartite
	v = 4 e = 64 f = 36
	degree seq :: [ 32^4 ]

E13.608 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 8, 8})
Quotient :: loop^2
Aut^+ = (C4 x C4) : C2 (small group id <32, 11>)
Aut   = C2 x ((C4 x C4) : C2) (small group id <64, 101>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2 * Y1, (R * Y3)^2, R * Y1 * R * Y2, Y2^2 * Y3 * Y2^-2 * Y3, Y3 * Y1^2 * Y3 * Y1^-2, Y2 * Y3 * Y1 * Y2^-1 * Y3 * Y1^-1, Y3 * Y2^2 * Y3 * Y2^-2, Y2^8, Y3 * Y2 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1, Y1^8 ]
Map:: non-degenerate
	R = (1, 33, 65, 97, 4, 36, 68, 100)(2, 34, 66, 98, 6, 38, 70, 102)(3, 35, 67, 99, 8, 40, 72, 104)(5, 37, 69, 101, 12, 44, 76, 108)(7, 39, 71, 103, 16, 48, 80, 112)(9, 41, 73, 105, 18, 50, 82, 114)(10, 42, 74, 106, 19, 51, 83, 115)(11, 43, 75, 107, 21, 53, 85, 117)(13, 45, 77, 109, 23, 55, 87, 119)(14, 46, 78, 110, 24, 56, 88, 120)(15, 47, 79, 111, 25, 57, 89, 121)(17, 49, 81, 113, 27, 59, 91, 123)(20, 52, 84, 116, 29, 61, 93, 125)(22, 54, 86, 118, 31, 63, 95, 127)(26, 58, 90, 122, 32, 64, 96, 128)(28, 60, 92, 124, 30, 62, 94, 126)
	L = (1, 34)(2, 37)(3, 33)(4, 41)(5, 43)(6, 45)(7, 35)(8, 46)(9, 44)(10, 36)(11, 52)(12, 54)(13, 53)(14, 38)(15, 39)(16, 42)(17, 40)(18, 59)(19, 60)(20, 47)(21, 62)(22, 61)(23, 51)(24, 64)(25, 49)(26, 48)(27, 63)(28, 50)(29, 58)(30, 57)(31, 56)(32, 55)(65, 99)(66, 97)(67, 103)(68, 106)(69, 98)(70, 110)(71, 111)(72, 113)(73, 100)(74, 112)(75, 101)(76, 105)(77, 102)(78, 104)(79, 116)(80, 122)(81, 121)(82, 124)(83, 119)(84, 107)(85, 109)(86, 108)(87, 128)(88, 127)(89, 126)(90, 125)(91, 114)(92, 115)(93, 118)(94, 117)(95, 123)(96, 120)
	local type(s) :: { ( 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E13.605
Transitivity :: VT+
Graph:: bipartite
	v = 16 e = 64 f = 24
	degree seq :: [ 8^16 ]

E13.609 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 8, 8})
Quotient :: loop^2
Aut^+ = (C4 x C4) : C2 (small group id <32, 11>)
Aut   = (C2 x (C8 : C2)) : C2 (small group id <64, 102>)
|r| :: 2
Presentation :: [ R^2, Y3^2, (Y1^-1, Y2^-1), Y2^3 * Y1^-1, (Y1 * Y2)^2, Y1^-2 * Y2^-2, R * Y1 * R * Y2, (R * Y3)^2, Y2^-1 * Y3 * Y2 * Y1 * Y3 * Y1^-1, Y2 * Y3 * Y2^-2 * Y3 * Y2, Y3 * Y1 * Y3 * Y1 * Y3 * Y1^-1 * Y3 * Y2 ]
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, 11, 43, 75, 107)(5, 37, 69, 101, 16, 48, 80, 112)(6, 38, 70, 102, 17, 49, 81, 113)(7, 39, 71, 103, 18, 50, 82, 114)(8, 40, 72, 104, 19, 51, 83, 115)(10, 42, 74, 106, 24, 56, 88, 120)(12, 44, 76, 108, 25, 57, 89, 121)(13, 45, 77, 109, 26, 58, 90, 122)(14, 46, 78, 110, 27, 59, 91, 123)(15, 47, 79, 111, 28, 60, 92, 124)(20, 52, 84, 116, 29, 61, 93, 125)(21, 53, 85, 117, 30, 62, 94, 126)(22, 54, 86, 118, 31, 63, 95, 127)(23, 55, 87, 119, 32, 64, 96, 128)
	L = (1, 34)(2, 39)(3, 40)(4, 44)(5, 33)(6, 42)(7, 35)(8, 38)(9, 52)(10, 37)(11, 53)(12, 50)(13, 51)(14, 36)(15, 56)(16, 54)(17, 55)(18, 45)(19, 47)(20, 43)(21, 49)(22, 41)(23, 48)(24, 46)(25, 64)(26, 63)(27, 62)(28, 61)(29, 59)(30, 57)(31, 60)(32, 58)(65, 99)(66, 104)(67, 106)(68, 109)(69, 103)(70, 97)(71, 102)(72, 101)(73, 117)(74, 98)(75, 119)(76, 115)(77, 120)(78, 114)(79, 100)(80, 116)(81, 118)(82, 111)(83, 110)(84, 113)(85, 112)(86, 107)(87, 105)(88, 108)(89, 127)(90, 125)(91, 128)(92, 126)(93, 121)(94, 122)(95, 123)(96, 124)
	local type(s) :: { ( 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E13.606
Transitivity :: VT+
Graph:: simple bipartite
	v = 16 e = 64 f = 24
	degree seq :: [ 8^16 ]

E13.610 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 8, 8})
Quotient :: dipole
Aut^+ = C8 x C2 x C2 (small group id <32, 36>)
Aut   = C2 x C2 x D16 (small group id <64, 250>)
|r| :: 2
Presentation :: [ Y1^2, Y3^2, R^2, (Y2^-1 * R)^2, (R * Y3)^2, Y3 * Y2 * Y3 * Y2^-1, (R * Y1)^2, Y2 * Y1 * Y2^-1 * Y1, (Y3 * Y1)^2, Y2^8 ]
Map:: non-degenerate
	R = (1, 33, 2, 34)(3, 35, 6, 38)(4, 36, 7, 39)(5, 37, 8, 40)(9, 41, 13, 45)(10, 42, 14, 46)(11, 43, 15, 47)(12, 44, 16, 48)(17, 49, 21, 53)(18, 50, 22, 54)(19, 51, 23, 55)(20, 52, 24, 56)(25, 57, 28, 60)(26, 58, 29, 61)(27, 59, 30, 62)(31, 63, 32, 64)(65, 97, 67, 99, 73, 105, 81, 113, 89, 121, 84, 116, 76, 108, 69, 101)(66, 98, 70, 102, 77, 109, 85, 117, 92, 124, 88, 120, 80, 112, 72, 104)(68, 100, 74, 106, 82, 114, 90, 122, 95, 127, 91, 123, 83, 115, 75, 107)(71, 103, 78, 110, 86, 118, 93, 125, 96, 128, 94, 126, 87, 119, 79, 111)
	L = (1, 68)(2, 71)(3, 74)(4, 65)(5, 75)(6, 78)(7, 66)(8, 79)(9, 82)(10, 67)(11, 69)(12, 83)(13, 86)(14, 70)(15, 72)(16, 87)(17, 90)(18, 73)(19, 76)(20, 91)(21, 93)(22, 77)(23, 80)(24, 94)(25, 95)(26, 81)(27, 84)(28, 96)(29, 85)(30, 88)(31, 89)(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, 4, 16, 4, 16 ) }
Outer automorphisms :: reflexible selfdual
Graph:: simple bipartite
	v = 20 e = 64 f = 20
	degree seq :: [ 4^16, 16^4 ]

E13.611 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 8, 8})
Quotient :: dipole
Aut^+ = C2 x D16 (small group id <32, 39>)
Aut   = C2 x C2 x D16 (small group id <64, 250>)
|r| :: 2
Presentation :: [ Y1^2, Y3^2, R^2, (Y2^-1 * R)^2, (R * Y3)^2, Y3 * Y2 * Y3 * Y2^-1, (R * Y1)^2, (Y2 * Y1)^2, (Y3 * Y1)^2, Y2^8 ]
Map:: non-degenerate
	R = (1, 33, 2, 34)(3, 35, 8, 40)(4, 36, 7, 39)(5, 37, 6, 38)(9, 41, 16, 48)(10, 42, 15, 47)(11, 43, 14, 46)(12, 44, 13, 45)(17, 49, 24, 56)(18, 50, 23, 55)(19, 51, 22, 54)(20, 52, 21, 53)(25, 57, 28, 60)(26, 58, 30, 62)(27, 59, 29, 61)(31, 63, 32, 64)(65, 97, 67, 99, 73, 105, 81, 113, 89, 121, 84, 116, 76, 108, 69, 101)(66, 98, 70, 102, 77, 109, 85, 117, 92, 124, 88, 120, 80, 112, 72, 104)(68, 100, 74, 106, 82, 114, 90, 122, 95, 127, 91, 123, 83, 115, 75, 107)(71, 103, 78, 110, 86, 118, 93, 125, 96, 128, 94, 126, 87, 119, 79, 111)
	L = (1, 68)(2, 71)(3, 74)(4, 65)(5, 75)(6, 78)(7, 66)(8, 79)(9, 82)(10, 67)(11, 69)(12, 83)(13, 86)(14, 70)(15, 72)(16, 87)(17, 90)(18, 73)(19, 76)(20, 91)(21, 93)(22, 77)(23, 80)(24, 94)(25, 95)(26, 81)(27, 84)(28, 96)(29, 85)(30, 88)(31, 89)(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, 4, 16, 4, 16 ) }
Outer automorphisms :: reflexible selfdual
Graph:: simple bipartite
	v = 20 e = 64 f = 20
	degree seq :: [ 4^16, 16^4 ]

E13.612 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 8, 8})
Quotient :: dipole
Aut^+ = C2 x D16 (small group id <32, 39>)
Aut   = C2 x C2 x D16 (small group id <64, 250>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (Y3^-1, Y2^-1), Y3^4, (R * Y1)^2, (Y2^-1 * Y1)^2, (R * Y2)^2, (R * Y3)^2, (Y3^-1 * Y1)^2, Y3^2 * Y2^-4 ]
Map:: non-degenerate
	R = (1, 33, 2, 34)(3, 35, 9, 41)(4, 36, 10, 42)(5, 37, 7, 39)(6, 38, 8, 40)(11, 43, 23, 55)(12, 44, 24, 56)(13, 45, 22, 54)(14, 46, 21, 53)(15, 47, 20, 52)(16, 48, 18, 50)(17, 49, 19, 51)(25, 57, 32, 64)(26, 58, 30, 62)(27, 59, 31, 63)(28, 60, 29, 61)(65, 97, 67, 99, 75, 107, 89, 121, 78, 110, 92, 124, 80, 112, 69, 101)(66, 98, 71, 103, 82, 114, 93, 125, 85, 117, 96, 128, 87, 119, 73, 105)(68, 100, 76, 108, 90, 122, 81, 113, 70, 102, 77, 109, 91, 123, 79, 111)(72, 104, 83, 115, 94, 126, 88, 120, 74, 106, 84, 116, 95, 127, 86, 118)
	L = (1, 68)(2, 72)(3, 76)(4, 78)(5, 79)(6, 65)(7, 83)(8, 85)(9, 86)(10, 66)(11, 90)(12, 92)(13, 67)(14, 70)(15, 89)(16, 91)(17, 69)(18, 94)(19, 96)(20, 71)(21, 74)(22, 93)(23, 95)(24, 73)(25, 81)(26, 80)(27, 75)(28, 77)(29, 88)(30, 87)(31, 82)(32, 84)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 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 = 20 e = 64 f = 20
	degree seq :: [ 4^16, 16^4 ]

E13.613 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 8, 8})
Quotient :: dipole
Aut^+ = C2 x (C8 : C2) (small group id <32, 37>)
Aut   = C2 x ((C2 x D8) : C2) (small group id <64, 254>)
|r| :: 2
Presentation :: [ Y1^2, Y3^2, R^2, (R * Y3)^2, (Y3 * Y1)^2, Y2^-1 * Y3 * Y2 * Y3, (Y2^-1 * R)^2, (R * Y1)^2, Y2^2 * Y1 * Y2^-2 * Y1, Y2^-1 * Y1 * Y2^-3 * Y1 ]
Map:: non-degenerate
	R = (1, 33, 2, 34)(3, 35, 9, 41)(4, 36, 7, 39)(5, 37, 13, 45)(6, 38, 15, 47)(8, 40, 19, 51)(10, 42, 16, 48)(11, 43, 21, 53)(12, 44, 24, 56)(14, 46, 20, 52)(17, 49, 26, 58)(18, 50, 29, 61)(22, 54, 27, 59)(23, 55, 28, 60)(25, 57, 30, 62)(31, 63, 32, 64)(65, 97, 67, 99, 74, 106, 83, 115, 91, 123, 79, 111, 78, 110, 69, 101)(66, 98, 70, 102, 80, 112, 77, 109, 86, 118, 73, 105, 84, 116, 72, 104)(68, 100, 75, 107, 87, 119, 93, 125, 96, 128, 90, 122, 89, 121, 76, 108)(71, 103, 81, 113, 92, 124, 88, 120, 95, 127, 85, 117, 94, 126, 82, 114)
	L = (1, 68)(2, 71)(3, 75)(4, 65)(5, 76)(6, 81)(7, 66)(8, 82)(9, 85)(10, 87)(11, 67)(12, 69)(13, 88)(14, 89)(15, 90)(16, 92)(17, 70)(18, 72)(19, 93)(20, 94)(21, 73)(22, 95)(23, 74)(24, 77)(25, 78)(26, 79)(27, 96)(28, 80)(29, 83)(30, 84)(31, 86)(32, 91)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 4, 16, 4, 16 ), ( 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16 ) }
Outer automorphisms :: reflexible selfdual
Graph:: simple bipartite
	v = 20 e = 64 f = 20
	degree seq :: [ 4^16, 16^4 ]

E13.614 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 8, 8})
Quotient :: dipole
Aut^+ = C2 x QD16 (small group id <32, 40>)
Aut   = C2 x ((C2 x D8) : C2) (small group id <64, 254>)
|r| :: 2
Presentation :: [ Y1^2, Y3^2, R^2, (R * Y3)^2, (Y3 * Y1)^2, Y2^-1 * Y3 * Y2 * Y3, (Y2^-1 * R)^2, (R * Y1)^2, Y2^3 * Y1 * Y2^-1 * Y1, (Y2^-2 * Y1)^2 ]
Map:: non-degenerate
	R = (1, 33, 2, 34)(3, 35, 9, 41)(4, 36, 7, 39)(5, 37, 13, 45)(6, 38, 15, 47)(8, 40, 19, 51)(10, 42, 20, 52)(11, 43, 22, 54)(12, 44, 24, 56)(14, 46, 16, 48)(17, 49, 27, 59)(18, 50, 29, 61)(21, 53, 26, 58)(23, 55, 30, 62)(25, 57, 28, 60)(31, 63, 32, 64)(65, 97, 67, 99, 74, 106, 79, 111, 90, 122, 83, 115, 78, 110, 69, 101)(66, 98, 70, 102, 80, 112, 73, 105, 85, 117, 77, 109, 84, 116, 72, 104)(68, 100, 75, 107, 87, 119, 91, 123, 96, 128, 93, 125, 89, 121, 76, 108)(71, 103, 81, 113, 92, 124, 86, 118, 95, 127, 88, 120, 94, 126, 82, 114)
	L = (1, 68)(2, 71)(3, 75)(4, 65)(5, 76)(6, 81)(7, 66)(8, 82)(9, 86)(10, 87)(11, 67)(12, 69)(13, 88)(14, 89)(15, 91)(16, 92)(17, 70)(18, 72)(19, 93)(20, 94)(21, 95)(22, 73)(23, 74)(24, 77)(25, 78)(26, 96)(27, 79)(28, 80)(29, 83)(30, 84)(31, 85)(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, 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 = 20 e = 64 f = 20
	degree seq :: [ 4^16, 16^4 ]

E13.615 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 8, 8})
Quotient :: dipole
Aut^+ = C2 x (C8 : C2) (small group id <32, 37>)
Aut   = C2 x ((C2 x D8) : C2) (small group id <64, 254>)
|r| :: 2
Presentation :: [ Y1^2, Y3^2, R^2, (Y3 * Y1)^2, (R * Y1)^2, (R * Y3)^2, Y2 * Y1 * Y2^-1 * Y1, Y3 * Y2^-2 * Y3 * Y2^2, Y2^-2 * Y3 * Y2^-1 * Y3 * Y2^-1, (R * Y2 * Y3)^2 ]
Map:: non-degenerate
	R = (1, 33, 2, 34)(3, 35, 6, 38)(4, 36, 7, 39)(5, 37, 8, 40)(9, 41, 15, 47)(10, 42, 16, 48)(11, 43, 17, 49)(12, 44, 18, 50)(13, 45, 19, 51)(14, 46, 20, 52)(21, 53, 26, 58)(22, 54, 27, 59)(23, 55, 28, 60)(24, 56, 29, 61)(25, 57, 30, 62)(31, 63, 32, 64)(65, 97, 67, 99, 73, 105, 85, 117, 95, 127, 89, 121, 78, 110, 69, 101)(66, 98, 70, 102, 79, 111, 90, 122, 96, 128, 94, 126, 84, 116, 72, 104)(68, 100, 75, 107, 86, 118, 77, 109, 88, 120, 74, 106, 87, 119, 76, 108)(71, 103, 81, 113, 91, 123, 83, 115, 93, 125, 80, 112, 92, 124, 82, 114)
	L = (1, 68)(2, 71)(3, 74)(4, 65)(5, 77)(6, 80)(7, 66)(8, 83)(9, 86)(10, 67)(11, 89)(12, 85)(13, 69)(14, 87)(15, 91)(16, 70)(17, 94)(18, 90)(19, 72)(20, 92)(21, 76)(22, 73)(23, 78)(24, 95)(25, 75)(26, 82)(27, 79)(28, 84)(29, 96)(30, 81)(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) :: { ( 4, 16, 4, 16 ), ( 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16 ) }
Outer automorphisms :: reflexible
Dual of E13.616
Graph:: simple bipartite
	v = 20 e = 64 f = 20
	degree seq :: [ 4^16, 16^4 ]

E13.616 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 8, 8})
Quotient :: dipole
Aut^+ = C2 x (C8 : C2) (small group id <32, 37>)
Aut   = C2 x ((C2 x D8) : C2) (small group id <64, 254>)
|r| :: 2
Presentation :: [ Y1^2, Y3^2, R^2, (Y3 * Y1)^2, (R * Y3)^2, (R * Y1)^2, Y2^2 * Y1 * Y2^-2 * Y1, (R * Y2 * Y3)^2, Y2 * Y3 * Y1 * Y2^-1 * Y3 * Y1, Y3 * Y2^2 * Y3 * Y2^-2, Y2^-1 * Y1 * Y2^-3 * Y1 ]
Map:: non-degenerate
	R = (1, 33, 2, 34)(3, 35, 9, 41)(4, 36, 7, 39)(5, 37, 14, 46)(6, 38, 17, 49)(8, 40, 22, 54)(10, 42, 18, 50)(11, 43, 20, 52)(12, 44, 19, 51)(13, 45, 23, 55)(15, 47, 21, 53)(16, 48, 24, 56)(25, 57, 29, 61)(26, 58, 30, 62)(27, 59, 31, 63)(28, 60, 32, 64)(65, 97, 67, 99, 74, 106, 86, 118, 93, 125, 81, 113, 80, 112, 69, 101)(66, 98, 70, 102, 82, 114, 78, 110, 89, 121, 73, 105, 88, 120, 72, 104)(68, 100, 76, 108, 90, 122, 79, 111, 92, 124, 75, 107, 91, 123, 77, 109)(71, 103, 84, 116, 94, 126, 87, 119, 96, 128, 83, 115, 95, 127, 85, 117)
	L = (1, 68)(2, 71)(3, 75)(4, 65)(5, 79)(6, 83)(7, 66)(8, 87)(9, 84)(10, 90)(11, 67)(12, 81)(13, 86)(14, 85)(15, 69)(16, 91)(17, 76)(18, 94)(19, 70)(20, 73)(21, 78)(22, 77)(23, 72)(24, 95)(25, 96)(26, 74)(27, 80)(28, 93)(29, 92)(30, 82)(31, 88)(32, 89)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 4, 16, 4, 16 ), ( 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16 ) }
Outer automorphisms :: reflexible
Dual of E13.615
Graph:: simple bipartite
	v = 20 e = 64 f = 20
	degree seq :: [ 4^16, 16^4 ]

E13.617 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 8, 8})
Quotient :: dipole
Aut^+ = (C2 x D8) : C2 (small group id <32, 43>)
Aut   = C2 x ((C2 x D8) : C2) (small group id <64, 254>)
|r| :: 2
Presentation :: [ Y1^2, Y3^2, R^2, (Y3 * Y1)^2, (R * Y1)^2, (R * Y3)^2, (Y2^-1 * Y1)^2, Y3 * Y2^-2 * Y3 * Y2^2, Y2^-2 * Y3 * Y2^-1 * Y3 * Y2^-1, (R * Y2 * Y3)^2, Y2 * Y3 * Y1 * Y2^-1 * Y3 * Y2^-1 * Y1 * Y2 ]
Map:: non-degenerate
	R = (1, 33, 2, 34)(3, 35, 8, 40)(4, 36, 7, 39)(5, 37, 6, 38)(9, 41, 20, 52)(10, 42, 19, 51)(11, 43, 18, 50)(12, 44, 17, 49)(13, 45, 16, 48)(14, 46, 15, 47)(21, 53, 30, 62)(22, 54, 28, 60)(23, 55, 27, 59)(24, 56, 29, 61)(25, 57, 26, 58)(31, 63, 32, 64)(65, 97, 67, 99, 73, 105, 85, 117, 95, 127, 89, 121, 78, 110, 69, 101)(66, 98, 70, 102, 79, 111, 90, 122, 96, 128, 94, 126, 84, 116, 72, 104)(68, 100, 75, 107, 86, 118, 77, 109, 88, 120, 74, 106, 87, 119, 76, 108)(71, 103, 81, 113, 91, 123, 83, 115, 93, 125, 80, 112, 92, 124, 82, 114)
	L = (1, 68)(2, 71)(3, 74)(4, 65)(5, 77)(6, 80)(7, 66)(8, 83)(9, 86)(10, 67)(11, 89)(12, 85)(13, 69)(14, 87)(15, 91)(16, 70)(17, 94)(18, 90)(19, 72)(20, 92)(21, 76)(22, 73)(23, 78)(24, 95)(25, 75)(26, 82)(27, 79)(28, 84)(29, 96)(30, 81)(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) :: { ( 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 = 20 e = 64 f = 20
	degree seq :: [ 4^16, 16^4 ]

E13.618 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 8, 8})
Quotient :: dipole
Aut^+ = (C2 x D8) : C2 (small group id <32, 43>)
Aut   = C2 x ((C2 x D8) : C2) (small group id <64, 254>)
|r| :: 2
Presentation :: [ Y1^2, Y3^2, R^2, (Y3 * Y1)^2, (R * Y3)^2, (R * Y1)^2, (Y1 * Y2^2)^2, (Y2 * Y3 * Y1)^2, Y2 * Y1 * Y2^-3 * Y1, Y3 * Y2^2 * Y3 * Y2^-2, (R * Y2 * Y3)^2 ]
Map:: non-degenerate
	R = (1, 33, 2, 34)(3, 35, 9, 41)(4, 36, 7, 39)(5, 37, 14, 46)(6, 38, 17, 49)(8, 40, 22, 54)(10, 42, 24, 56)(11, 43, 21, 53)(12, 44, 23, 55)(13, 45, 19, 51)(15, 47, 20, 52)(16, 48, 18, 50)(25, 57, 29, 61)(26, 58, 31, 63)(27, 59, 30, 62)(28, 60, 32, 64)(65, 97, 67, 99, 74, 106, 81, 113, 93, 125, 86, 118, 80, 112, 69, 101)(66, 98, 70, 102, 82, 114, 73, 105, 89, 121, 78, 110, 88, 120, 72, 104)(68, 100, 76, 108, 90, 122, 79, 111, 92, 124, 75, 107, 91, 123, 77, 109)(71, 103, 84, 116, 94, 126, 87, 119, 96, 128, 83, 115, 95, 127, 85, 117)
	L = (1, 68)(2, 71)(3, 75)(4, 65)(5, 79)(6, 83)(7, 66)(8, 87)(9, 85)(10, 90)(11, 67)(12, 86)(13, 81)(14, 84)(15, 69)(16, 91)(17, 77)(18, 94)(19, 70)(20, 78)(21, 73)(22, 76)(23, 72)(24, 95)(25, 96)(26, 74)(27, 80)(28, 93)(29, 92)(30, 82)(31, 88)(32, 89)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 4, 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 = 20 e = 64 f = 20
	degree seq :: [ 4^16, 16^4 ]

E13.619 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 8, 8})
Quotient :: dipole
Aut^+ = (C2 x D8) : C2 (small group id <32, 43>)
Aut   = C2 x ((C2 x D8) : C2) (small group id <64, 254>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^-1 * Y3 * Y2 * Y3, Y3^4, (R * Y3)^2, (Y2 * Y1)^2, (Y3^-1 * Y1)^2, (R * Y1)^2, Y2^-1 * Y3^-1 * Y2^-1 * Y3 * Y2^-2, (R * Y2 * Y3^-1)^2 ]
Map:: non-degenerate
	R = (1, 33, 2, 34)(3, 35, 9, 41)(4, 36, 10, 42)(5, 37, 7, 39)(6, 38, 8, 40)(11, 43, 24, 56)(12, 44, 22, 54)(13, 45, 23, 55)(14, 46, 21, 53)(15, 47, 19, 51)(16, 48, 20, 52)(17, 49, 18, 50)(25, 57, 32, 64)(26, 58, 30, 62)(27, 59, 31, 63)(28, 60, 29, 61)(65, 97, 67, 99, 75, 107, 89, 121, 78, 110, 92, 124, 81, 113, 69, 101)(66, 98, 71, 103, 82, 114, 93, 125, 85, 117, 96, 128, 88, 120, 73, 105)(68, 100, 77, 109, 90, 122, 80, 112, 70, 102, 76, 108, 91, 123, 79, 111)(72, 104, 84, 116, 94, 126, 87, 119, 74, 106, 83, 115, 95, 127, 86, 118)
	L = (1, 68)(2, 72)(3, 76)(4, 78)(5, 80)(6, 65)(7, 83)(8, 85)(9, 87)(10, 66)(11, 90)(12, 92)(13, 67)(14, 70)(15, 69)(16, 89)(17, 91)(18, 94)(19, 96)(20, 71)(21, 74)(22, 73)(23, 93)(24, 95)(25, 79)(26, 81)(27, 75)(28, 77)(29, 86)(30, 88)(31, 82)(32, 84)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 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 = 20 e = 64 f = 20
	degree seq :: [ 4^16, 16^4 ]

E13.620 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 8, 8})
Quotient :: dipole
Aut^+ = (C2 x D8) : C2 (small group id <32, 43>)
Aut   = C2 x ((C2 x D8) : C2) (small group id <64, 254>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^4, (R * Y3)^2, (R * Y1)^2, Y3 * Y2 * Y3 * Y2^-1, (Y3^-1 * Y1)^2, Y3^-2 * Y2^-1 * Y1 * Y2^-1 * Y1, Y2 * Y1 * Y2^-3 * Y1, (R * Y2 * Y3^-1)^2, (Y2^-1 * Y3^-1 * Y2^-1)^2, (Y2^-2 * Y1)^2, Y2 * Y1 * Y3 * Y2 * Y3^-1 * Y1 ]
Map:: non-degenerate
	R = (1, 33, 2, 34)(3, 35, 11, 43)(4, 36, 10, 42)(5, 37, 17, 49)(6, 38, 8, 40)(7, 39, 20, 52)(9, 41, 26, 58)(12, 44, 28, 60)(13, 45, 27, 59)(14, 46, 25, 57)(15, 47, 24, 56)(16, 48, 23, 55)(18, 50, 22, 54)(19, 51, 21, 53)(29, 61, 31, 63)(30, 62, 32, 64)(65, 97, 67, 99, 76, 108, 84, 116, 79, 111, 90, 122, 83, 115, 69, 101)(66, 98, 71, 103, 85, 117, 75, 107, 88, 120, 81, 113, 92, 124, 73, 105)(68, 100, 78, 110, 93, 125, 82, 114, 70, 102, 77, 109, 94, 126, 80, 112)(72, 104, 87, 119, 95, 127, 91, 123, 74, 106, 86, 118, 96, 128, 89, 121)
	L = (1, 68)(2, 72)(3, 77)(4, 79)(5, 82)(6, 65)(7, 86)(8, 88)(9, 91)(10, 66)(11, 89)(12, 93)(13, 90)(14, 67)(15, 70)(16, 69)(17, 87)(18, 84)(19, 94)(20, 80)(21, 95)(22, 81)(23, 71)(24, 74)(25, 73)(26, 78)(27, 75)(28, 96)(29, 83)(30, 76)(31, 92)(32, 85)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 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 = 20 e = 64 f = 20
	degree seq :: [ 4^16, 16^4 ]

E13.621 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 8, 8})
Quotient :: dipole
Aut^+ = C2 x QD16 (small group id <32, 40>)
Aut   = C2 x ((C2 x D8) : C2) (small group id <64, 254>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^4, (Y3 * Y1)^2, Y3^4, (R * Y1)^2, (Y3^-1, Y2), (R * Y3)^2, (R * Y2)^2, Y3^2 * Y2^-4, Y3 * Y2^-1 * Y3 * Y1 * Y2^-1 * Y1, Y2^-1 * Y1 * Y3^-2 * Y2^-1 * Y1, Y2^-1 * Y3^-1 * Y1 * Y3 * Y2^-1 * Y1, (Y2^2 * Y1)^2, Y2^3 * Y1 * Y2^-1 * Y1 ]
Map:: non-degenerate
	R = (1, 33, 2, 34)(3, 35, 11, 43)(4, 36, 10, 42)(5, 37, 17, 49)(6, 38, 8, 40)(7, 39, 20, 52)(9, 41, 26, 58)(12, 44, 27, 59)(13, 45, 25, 57)(14, 46, 28, 60)(15, 47, 24, 56)(16, 48, 22, 54)(18, 50, 21, 53)(19, 51, 23, 55)(29, 61, 31, 63)(30, 62, 32, 64)(65, 97, 67, 99, 76, 108, 84, 116, 79, 111, 90, 122, 82, 114, 69, 101)(66, 98, 71, 103, 85, 117, 75, 107, 88, 120, 81, 113, 91, 123, 73, 105)(68, 100, 77, 109, 93, 125, 83, 115, 70, 102, 78, 110, 94, 126, 80, 112)(72, 104, 86, 118, 95, 127, 92, 124, 74, 106, 87, 119, 96, 128, 89, 121)
	L = (1, 68)(2, 72)(3, 77)(4, 79)(5, 80)(6, 65)(7, 86)(8, 88)(9, 89)(10, 66)(11, 92)(12, 93)(13, 90)(14, 67)(15, 70)(16, 84)(17, 87)(18, 94)(19, 69)(20, 83)(21, 95)(22, 81)(23, 71)(24, 74)(25, 75)(26, 78)(27, 96)(28, 73)(29, 82)(30, 76)(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) :: { ( 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 = 20 e = 64 f = 20
	degree seq :: [ 4^16, 16^4 ]

E13.622 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 8, 8})
Quotient :: dipole
Aut^+ = (C8 x C2) : C2 (small group id <32, 38>)
Aut   = (C2 x D16) : C2 (small group id <64, 257>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (Y3^-1, Y2^-1), Y3^4, (R * Y1)^2, (R * Y3)^2, Y2^-1 * Y1 * Y2 * Y1, (R * Y2)^2, (Y3^-1 * Y1)^2, Y3^2 * Y2^-4 ]
Map:: non-degenerate
	R = (1, 33, 2, 34)(3, 35, 7, 39)(4, 36, 10, 42)(5, 37, 9, 41)(6, 38, 8, 40)(11, 43, 18, 50)(12, 44, 20, 52)(13, 45, 19, 51)(14, 46, 21, 53)(15, 47, 24, 56)(16, 48, 23, 55)(17, 49, 22, 54)(25, 57, 29, 61)(26, 58, 31, 63)(27, 59, 30, 62)(28, 60, 32, 64)(65, 97, 67, 99, 75, 107, 89, 121, 78, 110, 92, 124, 80, 112, 69, 101)(66, 98, 71, 103, 82, 114, 93, 125, 85, 117, 96, 128, 87, 119, 73, 105)(68, 100, 76, 108, 90, 122, 81, 113, 70, 102, 77, 109, 91, 123, 79, 111)(72, 104, 83, 115, 94, 126, 88, 120, 74, 106, 84, 116, 95, 127, 86, 118)
	L = (1, 68)(2, 72)(3, 76)(4, 78)(5, 79)(6, 65)(7, 83)(8, 85)(9, 86)(10, 66)(11, 90)(12, 92)(13, 67)(14, 70)(15, 89)(16, 91)(17, 69)(18, 94)(19, 96)(20, 71)(21, 74)(22, 93)(23, 95)(24, 73)(25, 81)(26, 80)(27, 75)(28, 77)(29, 88)(30, 87)(31, 82)(32, 84)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 4, 16, 4, 16 ), ( 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16 ) }
Outer automorphisms :: reflexible
Dual of E13.624
Graph:: simple bipartite
	v = 20 e = 64 f = 20
	degree seq :: [ 4^16, 16^4 ]

E13.623 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 8, 8})
Quotient :: dipole
Aut^+ = (C8 x C2) : C2 (small group id <32, 38>)
Aut   = (C2 x D16) : C2 (small group id <64, 257>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^4, (Y3^-1 * Y1)^2, (R * Y1)^2, Y3 * Y2 * Y3 * Y2^-1, (R * Y3)^2, Y2 * Y3^-1 * Y1 * Y3 * Y2^-1 * Y1, (R * Y2 * Y3^-1)^2, (Y2^-1 * Y3^-1 * Y2^-1)^2, Y3^-2 * Y2 * Y1 * Y2^-1 * Y1, Y2 * Y3^2 * Y1 * Y2^-1 * Y1, Y3^-1 * Y2^4 * Y3^-1 ]
Map:: non-degenerate
	R = (1, 33, 2, 34)(3, 35, 11, 43)(4, 36, 10, 42)(5, 37, 17, 49)(6, 38, 8, 40)(7, 39, 20, 52)(9, 41, 26, 58)(12, 44, 21, 53)(13, 45, 22, 54)(14, 46, 23, 55)(15, 47, 24, 56)(16, 48, 25, 57)(18, 50, 27, 59)(19, 51, 28, 60)(29, 61, 32, 64)(30, 62, 31, 63)(65, 97, 67, 99, 76, 108, 90, 122, 79, 111, 84, 116, 83, 115, 69, 101)(66, 98, 71, 103, 85, 117, 81, 113, 88, 120, 75, 107, 92, 124, 73, 105)(68, 100, 78, 110, 93, 125, 82, 114, 70, 102, 77, 109, 94, 126, 80, 112)(72, 104, 87, 119, 95, 127, 91, 123, 74, 106, 86, 118, 96, 128, 89, 121)
	L = (1, 68)(2, 72)(3, 77)(4, 79)(5, 82)(6, 65)(7, 86)(8, 88)(9, 91)(10, 66)(11, 87)(12, 93)(13, 84)(14, 67)(15, 70)(16, 69)(17, 89)(18, 90)(19, 94)(20, 78)(21, 95)(22, 75)(23, 71)(24, 74)(25, 73)(26, 80)(27, 81)(28, 96)(29, 83)(30, 76)(31, 92)(32, 85)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 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 = 20 e = 64 f = 20
	degree seq :: [ 4^16, 16^4 ]

E13.624 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 8, 8})
Quotient :: dipole
Aut^+ = (C8 x C2) : C2 (small group id <32, 38>)
Aut   = (C2 x D16) : C2 (small group id <64, 257>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (Y3, Y2^-1), (Y3^-1 * Y1)^2, (R * Y1)^2, (R * Y2)^2, (R * Y3)^2, Y3^4, Y1 * Y3 * Y2^-1 * Y3 * Y1 * Y2, Y3^-2 * Y2^4, Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-2, Y3 * Y1 * Y3^-1 * Y2^-1 * Y1 * Y2, (Y1 * Y2^-1 * Y1 * Y2)^2 ]
Map:: non-degenerate
	R = (1, 33, 2, 34)(3, 35, 11, 43)(4, 36, 10, 42)(5, 37, 17, 49)(6, 38, 8, 40)(7, 39, 20, 52)(9, 41, 26, 58)(12, 44, 21, 53)(13, 45, 22, 54)(14, 46, 23, 55)(15, 47, 24, 56)(16, 48, 25, 57)(18, 50, 27, 59)(19, 51, 28, 60)(29, 61, 32, 64)(30, 62, 31, 63)(65, 97, 67, 99, 76, 108, 90, 122, 79, 111, 84, 116, 82, 114, 69, 101)(66, 98, 71, 103, 85, 117, 81, 113, 88, 120, 75, 107, 91, 123, 73, 105)(68, 100, 77, 109, 93, 125, 83, 115, 70, 102, 78, 110, 94, 126, 80, 112)(72, 104, 86, 118, 95, 127, 92, 124, 74, 106, 87, 119, 96, 128, 89, 121)
	L = (1, 68)(2, 72)(3, 77)(4, 79)(5, 80)(6, 65)(7, 86)(8, 88)(9, 89)(10, 66)(11, 87)(12, 93)(13, 84)(14, 67)(15, 70)(16, 90)(17, 92)(18, 94)(19, 69)(20, 78)(21, 95)(22, 75)(23, 71)(24, 74)(25, 81)(26, 83)(27, 96)(28, 73)(29, 82)(30, 76)(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) :: { ( 4, 16, 4, 16 ), ( 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16 ) }
Outer automorphisms :: reflexible
Dual of E13.622
Graph:: simple bipartite
	v = 20 e = 64 f = 20
	degree seq :: [ 4^16, 16^4 ]

E13.625 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 8, 8})
Quotient :: dipole
Aut^+ = (C8 x C2) : C2 (small group id <32, 38>)
Aut   = (C2 x QD16) : C2 (small group id <64, 258>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^4, Y3^-1 * Y2^-1 * Y3^-1 * Y2, (R * Y1)^2, (R * Y3)^2, Y2^-1 * Y1 * Y2 * Y1, (Y3^-1 * Y1)^2, Y3^-2 * Y2^-4, (R * Y2 * Y3^-1)^2 ]
Map:: non-degenerate
	R = (1, 33, 2, 34)(3, 35, 7, 39)(4, 36, 10, 42)(5, 37, 9, 41)(6, 38, 8, 40)(11, 43, 18, 50)(12, 44, 20, 52)(13, 45, 19, 51)(14, 46, 21, 53)(15, 47, 23, 55)(16, 48, 22, 54)(17, 49, 24, 56)(25, 57, 29, 61)(26, 58, 31, 63)(27, 59, 30, 62)(28, 60, 32, 64)(65, 97, 67, 99, 75, 107, 89, 121, 78, 110, 92, 124, 81, 113, 69, 101)(66, 98, 71, 103, 82, 114, 93, 125, 85, 117, 96, 128, 88, 120, 73, 105)(68, 100, 77, 109, 90, 122, 80, 112, 70, 102, 76, 108, 91, 123, 79, 111)(72, 104, 84, 116, 94, 126, 87, 119, 74, 106, 83, 115, 95, 127, 86, 118)
	L = (1, 68)(2, 72)(3, 76)(4, 78)(5, 80)(6, 65)(7, 83)(8, 85)(9, 87)(10, 66)(11, 90)(12, 92)(13, 67)(14, 70)(15, 69)(16, 89)(17, 91)(18, 94)(19, 96)(20, 71)(21, 74)(22, 73)(23, 93)(24, 95)(25, 79)(26, 81)(27, 75)(28, 77)(29, 86)(30, 88)(31, 82)(32, 84)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 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 = 20 e = 64 f = 20
	degree seq :: [ 4^16, 16^4 ]

E13.626 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 8, 8})
Quotient :: halfedge^2
Aut^+ = C2 x D16 (small group id <32, 39>)
Aut   = (C8 x C4) : C2 (small group id <64, 174>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, R * Y3 * R * Y2, (Y3 * Y1)^2, (R * Y1)^2, (Y3 * Y2)^2, (Y1^-1 * Y2)^2, Y1^8 ]
Map:: non-degenerate
	R = (1, 34, 2, 38, 6, 45, 13, 53, 21, 52, 20, 44, 12, 37, 5, 33)(3, 41, 9, 49, 17, 57, 25, 60, 28, 54, 22, 46, 14, 39, 7, 35)(4, 43, 11, 51, 19, 59, 27, 61, 29, 55, 23, 47, 15, 40, 8, 36)(10, 48, 16, 56, 24, 62, 30, 64, 32, 63, 31, 58, 26, 50, 18, 42)
	L = (1, 3)(2, 7)(4, 10)(5, 9)(6, 14)(8, 16)(11, 18)(12, 17)(13, 22)(15, 24)(19, 26)(20, 25)(21, 28)(23, 30)(27, 31)(29, 32)(33, 36)(34, 40)(35, 42)(37, 43)(38, 47)(39, 48)(41, 50)(44, 51)(45, 55)(46, 56)(49, 58)(52, 59)(53, 61)(54, 62)(57, 63)(60, 64)
	local type(s) :: { ( 16^16 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+ AT
Graph:: bipartite
	v = 4 e = 32 f = 4
	degree seq :: [ 16^4 ]

E13.627 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 8, 8})
Quotient :: halfedge^2
Aut^+ = C2 x QD16 (small group id <32, 40>)
Aut   = (C2 x D16) : C2 (small group id <64, 177>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, (Y3 * Y2)^2, R * Y3 * R * Y2, (R * Y1)^2, Y1^-1 * Y3 * Y1 * Y3 * Y1^-2, Y2 * Y3 * Y1 * Y3 * Y2 * Y1^-1, (Y2 * Y1^-2)^2, (Y3 * Y1)^4, Y2 * Y1^-1 * Y3 * Y2 * Y1^-1 * Y3 * Y2 * Y1^-1 * Y3 * Y2 * Y1^-1 * Y3 * Y2 * Y1^-1 * Y3 * Y2 * Y3 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 34, 2, 38, 6, 49, 17, 61, 29, 59, 27, 48, 16, 37, 5, 33)(3, 41, 9, 54, 22, 39, 7, 52, 20, 46, 14, 50, 18, 43, 11, 35)(4, 44, 12, 56, 24, 40, 8, 55, 23, 47, 15, 51, 19, 45, 13, 36)(10, 53, 21, 62, 30, 57, 25, 63, 31, 60, 28, 64, 32, 58, 26, 42)
	L = (1, 3)(2, 7)(4, 10)(5, 14)(6, 18)(8, 21)(9, 17)(11, 27)(12, 25)(13, 28)(15, 26)(16, 22)(19, 30)(20, 29)(23, 31)(24, 32)(33, 36)(34, 40)(35, 42)(37, 47)(38, 51)(39, 53)(41, 57)(43, 60)(44, 49)(45, 59)(46, 58)(48, 56)(50, 62)(52, 63)(54, 64)(55, 61)
	local type(s) :: { ( 16^16 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+ AT
Graph:: bipartite
	v = 4 e = 32 f = 4
	degree seq :: [ 16^4 ]

E13.628 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 8, 8})
Quotient :: edge^2
Aut^+ = C2 x D16 (small group id <32, 39>)
Aut   = (C8 x C4) : C2 (small group id <64, 174>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, R * Y2 * R * Y1, (R * Y3)^2, (Y2 * Y1)^2, (Y3^-1 * Y2)^2, (Y3^-1 * Y1)^2, Y3^8, (Y3 * Y1 * Y2)^8 ]
Map::
	R = (1, 33, 4, 36, 11, 43, 19, 51, 27, 59, 20, 52, 12, 44, 5, 37)(2, 34, 7, 39, 15, 47, 23, 55, 30, 62, 24, 56, 16, 48, 8, 40)(3, 35, 9, 41, 17, 49, 25, 57, 31, 63, 26, 58, 18, 50, 10, 42)(6, 38, 13, 45, 21, 53, 28, 60, 32, 64, 29, 61, 22, 54, 14, 46)(65, 66)(67, 70)(68, 72)(69, 71)(73, 78)(74, 77)(75, 80)(76, 79)(81, 86)(82, 85)(83, 88)(84, 87)(89, 93)(90, 92)(91, 94)(95, 96)(97, 99)(98, 102)(100, 106)(101, 105)(103, 110)(104, 109)(107, 114)(108, 113)(111, 118)(112, 117)(115, 122)(116, 121)(119, 125)(120, 124)(123, 127)(126, 128)
	L = (1, 65)(2, 66)(3, 67)(4, 68)(5, 69)(6, 70)(7, 71)(8, 72)(9, 73)(10, 74)(11, 75)(12, 76)(13, 77)(14, 78)(15, 79)(16, 80)(17, 81)(18, 82)(19, 83)(20, 84)(21, 85)(22, 86)(23, 87)(24, 88)(25, 89)(26, 90)(27, 91)(28, 92)(29, 93)(30, 94)(31, 95)(32, 96)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 32, 32 ), ( 32^16 ) }
Outer automorphisms :: reflexible
Dual of E13.630
Graph:: simple bipartite
	v = 36 e = 64 f = 4
	degree seq :: [ 2^32, 16^4 ]

E13.629 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 8, 8})
Quotient :: edge^2
Aut^+ = C2 x QD16 (small group id <32, 40>)
Aut   = (C2 x D16) : C2 (small group id <64, 177>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, (Y2 * Y1)^2, R * Y2 * R * Y1, (R * Y3)^2, (Y2 * Y3^2)^2, Y3^3 * Y1 * Y3^-1 * Y1, Y3^-1 * Y2 * Y3^3 * Y2, (Y3^2 * Y1)^2, Y2 * Y3^-1 * Y1 * Y2 * Y3 * Y1 ]
Map::
	R = (1, 33, 4, 36, 13, 45, 19, 51, 31, 63, 22, 54, 16, 48, 5, 37)(2, 34, 7, 39, 21, 53, 11, 43, 27, 59, 14, 46, 24, 56, 8, 40)(3, 35, 9, 41, 25, 57, 12, 44, 28, 60, 15, 47, 26, 58, 10, 42)(6, 38, 17, 49, 29, 61, 20, 52, 32, 64, 23, 55, 30, 62, 18, 50)(65, 66)(67, 70)(68, 75)(69, 78)(71, 83)(72, 86)(73, 84)(74, 87)(76, 81)(77, 88)(79, 82)(80, 85)(89, 94)(90, 93)(91, 95)(92, 96)(97, 99)(98, 102)(100, 108)(101, 111)(103, 116)(104, 119)(105, 115)(106, 118)(107, 113)(109, 122)(110, 114)(112, 121)(117, 126)(120, 125)(123, 128)(124, 127)
	L = (1, 65)(2, 66)(3, 67)(4, 68)(5, 69)(6, 70)(7, 71)(8, 72)(9, 73)(10, 74)(11, 75)(12, 76)(13, 77)(14, 78)(15, 79)(16, 80)(17, 81)(18, 82)(19, 83)(20, 84)(21, 85)(22, 86)(23, 87)(24, 88)(25, 89)(26, 90)(27, 91)(28, 92)(29, 93)(30, 94)(31, 95)(32, 96)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 32, 32 ), ( 32^16 ) }
Outer automorphisms :: reflexible
Dual of E13.631
Graph:: simple bipartite
	v = 36 e = 64 f = 4
	degree seq :: [ 2^32, 16^4 ]

E13.630 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 8, 8})
Quotient :: loop^2
Aut^+ = C2 x D16 (small group id <32, 39>)
Aut   = (C8 x C4) : C2 (small group id <64, 174>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, R * Y2 * R * Y1, (R * Y3)^2, (Y2 * Y1)^2, (Y3^-1 * Y2)^2, (Y3^-1 * Y1)^2, Y3^8, (Y3 * Y1 * Y2)^8 ]
Map::
	R = (1, 33, 65, 97, 4, 36, 68, 100, 11, 43, 75, 107, 19, 51, 83, 115, 27, 59, 91, 123, 20, 52, 84, 116, 12, 44, 76, 108, 5, 37, 69, 101)(2, 34, 66, 98, 7, 39, 71, 103, 15, 47, 79, 111, 23, 55, 87, 119, 30, 62, 94, 126, 24, 56, 88, 120, 16, 48, 80, 112, 8, 40, 72, 104)(3, 35, 67, 99, 9, 41, 73, 105, 17, 49, 81, 113, 25, 57, 89, 121, 31, 63, 95, 127, 26, 58, 90, 122, 18, 50, 82, 114, 10, 42, 74, 106)(6, 38, 70, 102, 13, 45, 77, 109, 21, 53, 85, 117, 28, 60, 92, 124, 32, 64, 96, 128, 29, 61, 93, 125, 22, 54, 86, 118, 14, 46, 78, 110)
	L = (1, 34)(2, 33)(3, 38)(4, 40)(5, 39)(6, 35)(7, 37)(8, 36)(9, 46)(10, 45)(11, 48)(12, 47)(13, 42)(14, 41)(15, 44)(16, 43)(17, 54)(18, 53)(19, 56)(20, 55)(21, 50)(22, 49)(23, 52)(24, 51)(25, 61)(26, 60)(27, 62)(28, 58)(29, 57)(30, 59)(31, 64)(32, 63)(65, 99)(66, 102)(67, 97)(68, 106)(69, 105)(70, 98)(71, 110)(72, 109)(73, 101)(74, 100)(75, 114)(76, 113)(77, 104)(78, 103)(79, 118)(80, 117)(81, 108)(82, 107)(83, 122)(84, 121)(85, 112)(86, 111)(87, 125)(88, 124)(89, 116)(90, 115)(91, 127)(92, 120)(93, 119)(94, 128)(95, 123)(96, 126)
	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 E13.628
Transitivity :: VT+
Graph:: bipartite
	v = 4 e = 64 f = 36
	degree seq :: [ 32^4 ]

E13.631 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 8, 8})
Quotient :: loop^2
Aut^+ = C2 x QD16 (small group id <32, 40>)
Aut   = (C2 x D16) : C2 (small group id <64, 177>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, (Y2 * Y1)^2, R * Y2 * R * Y1, (R * Y3)^2, (Y2 * Y3^2)^2, Y3^3 * Y1 * Y3^-1 * Y1, Y3^-1 * Y2 * Y3^3 * Y2, (Y3^2 * Y1)^2, Y2 * Y3^-1 * Y1 * Y2 * Y3 * Y1 ]
Map::
	R = (1, 33, 65, 97, 4, 36, 68, 100, 13, 45, 77, 109, 19, 51, 83, 115, 31, 63, 95, 127, 22, 54, 86, 118, 16, 48, 80, 112, 5, 37, 69, 101)(2, 34, 66, 98, 7, 39, 71, 103, 21, 53, 85, 117, 11, 43, 75, 107, 27, 59, 91, 123, 14, 46, 78, 110, 24, 56, 88, 120, 8, 40, 72, 104)(3, 35, 67, 99, 9, 41, 73, 105, 25, 57, 89, 121, 12, 44, 76, 108, 28, 60, 92, 124, 15, 47, 79, 111, 26, 58, 90, 122, 10, 42, 74, 106)(6, 38, 70, 102, 17, 49, 81, 113, 29, 61, 93, 125, 20, 52, 84, 116, 32, 64, 96, 128, 23, 55, 87, 119, 30, 62, 94, 126, 18, 50, 82, 114)
	L = (1, 34)(2, 33)(3, 38)(4, 43)(5, 46)(6, 35)(7, 51)(8, 54)(9, 52)(10, 55)(11, 36)(12, 49)(13, 56)(14, 37)(15, 50)(16, 53)(17, 44)(18, 47)(19, 39)(20, 41)(21, 48)(22, 40)(23, 42)(24, 45)(25, 62)(26, 61)(27, 63)(28, 64)(29, 58)(30, 57)(31, 59)(32, 60)(65, 99)(66, 102)(67, 97)(68, 108)(69, 111)(70, 98)(71, 116)(72, 119)(73, 115)(74, 118)(75, 113)(76, 100)(77, 122)(78, 114)(79, 101)(80, 121)(81, 107)(82, 110)(83, 105)(84, 103)(85, 126)(86, 106)(87, 104)(88, 125)(89, 112)(90, 109)(91, 128)(92, 127)(93, 120)(94, 117)(95, 124)(96, 123)
	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 E13.629
Transitivity :: VT+
Graph:: bipartite
	v = 4 e = 64 f = 36
	degree seq :: [ 32^4 ]

E13.632 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {8, 16, 16})
Quotient :: edge
Aut^+ = C16 x C2 (small group id <32, 16>)
Aut   = C2 x D32 (small group id <64, 186>)
|r| :: 2
Presentation :: [ F^2, (T1, T2), (F * T1)^2, (F * T2)^2, T1^-2 * T2^-4, T1^8 ]
Map:: non-degenerate
	R = (1, 3, 9, 19, 11, 21, 28, 31, 23, 30, 26, 16, 6, 15, 13, 5)(2, 7, 17, 12, 4, 10, 20, 27, 22, 29, 32, 25, 14, 24, 18, 8)(33, 34, 38, 46, 55, 54, 43, 36)(35, 39, 47, 56, 62, 61, 53, 42)(37, 40, 48, 57, 63, 59, 51, 44)(41, 49, 45, 50, 58, 64, 60, 52)
	L = (1, 33)(2, 34)(3, 35)(4, 36)(5, 37)(6, 38)(7, 39)(8, 40)(9, 41)(10, 42)(11, 43)(12, 44)(13, 45)(14, 46)(15, 47)(16, 48)(17, 49)(18, 50)(19, 51)(20, 52)(21, 53)(22, 54)(23, 55)(24, 56)(25, 57)(26, 58)(27, 59)(28, 60)(29, 61)(30, 62)(31, 63)(32, 64)
	local type(s) :: { ( 32^8 ), ( 32^16 ) }
Outer automorphisms :: reflexible
Dual of E13.634
Transitivity :: ET+
Graph:: bipartite
	v = 6 e = 32 f = 2
	degree seq :: [ 8^4, 16^2 ]

E13.633 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {8, 16, 16})
Quotient :: edge
Aut^+ = C16 x C2 (small group id <32, 16>)
Aut   = C2 x D32 (small group id <64, 186>)
|r| :: 2
Presentation :: [ F^2, (T2^-1, T1^-1), (F * T1)^2, (F * T2)^2, T2^-4 * T1^2, T1^-8, T1^8 ]
Map:: non-degenerate
	R = (1, 3, 9, 16, 6, 15, 26, 31, 23, 30, 29, 21, 11, 19, 13, 5)(2, 7, 17, 25, 14, 24, 32, 28, 20, 27, 22, 12, 4, 10, 18, 8)(33, 34, 38, 46, 55, 52, 43, 36)(35, 39, 47, 56, 62, 59, 51, 42)(37, 40, 48, 57, 63, 60, 53, 44)(41, 49, 58, 64, 61, 54, 45, 50)
	L = (1, 33)(2, 34)(3, 35)(4, 36)(5, 37)(6, 38)(7, 39)(8, 40)(9, 41)(10, 42)(11, 43)(12, 44)(13, 45)(14, 46)(15, 47)(16, 48)(17, 49)(18, 50)(19, 51)(20, 52)(21, 53)(22, 54)(23, 55)(24, 56)(25, 57)(26, 58)(27, 59)(28, 60)(29, 61)(30, 62)(31, 63)(32, 64)
	local type(s) :: { ( 32^8 ), ( 32^16 ) }
Outer automorphisms :: reflexible
Dual of E13.635
Transitivity :: ET+
Graph:: bipartite
	v = 6 e = 32 f = 2
	degree seq :: [ 8^4, 16^2 ]

E13.634 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {8, 16, 16})
Quotient :: loop
Aut^+ = C16 x C2 (small group id <32, 16>)
Aut   = C2 x D32 (small group id <64, 186>)
|r| :: 2
Presentation :: [ F^2, (T1, T2), (F * T1)^2, (F * T2)^2, T1^-2 * T2^-4, T1^8 ]
Map:: non-degenerate
	R = (1, 33, 3, 35, 9, 41, 19, 51, 11, 43, 21, 53, 28, 60, 31, 63, 23, 55, 30, 62, 26, 58, 16, 48, 6, 38, 15, 47, 13, 45, 5, 37)(2, 34, 7, 39, 17, 49, 12, 44, 4, 36, 10, 42, 20, 52, 27, 59, 22, 54, 29, 61, 32, 64, 25, 57, 14, 46, 24, 56, 18, 50, 8, 40)
	L = (1, 34)(2, 38)(3, 39)(4, 33)(5, 40)(6, 46)(7, 47)(8, 48)(9, 49)(10, 35)(11, 36)(12, 37)(13, 50)(14, 55)(15, 56)(16, 57)(17, 45)(18, 58)(19, 44)(20, 41)(21, 42)(22, 43)(23, 54)(24, 62)(25, 63)(26, 64)(27, 51)(28, 52)(29, 53)(30, 61)(31, 59)(32, 60)
	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 E13.632
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 2 e = 32 f = 6
	degree seq :: [ 32^2 ]

E13.635 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {8, 16, 16})
Quotient :: loop
Aut^+ = C16 x C2 (small group id <32, 16>)
Aut   = C2 x D32 (small group id <64, 186>)
|r| :: 2
Presentation :: [ F^2, (T2^-1, T1^-1), (F * T1)^2, (F * T2)^2, T2^-4 * T1^2, T1^-8, T1^8 ]
Map:: non-degenerate
	R = (1, 33, 3, 35, 9, 41, 16, 48, 6, 38, 15, 47, 26, 58, 31, 63, 23, 55, 30, 62, 29, 61, 21, 53, 11, 43, 19, 51, 13, 45, 5, 37)(2, 34, 7, 39, 17, 49, 25, 57, 14, 46, 24, 56, 32, 64, 28, 60, 20, 52, 27, 59, 22, 54, 12, 44, 4, 36, 10, 42, 18, 50, 8, 40)
	L = (1, 34)(2, 38)(3, 39)(4, 33)(5, 40)(6, 46)(7, 47)(8, 48)(9, 49)(10, 35)(11, 36)(12, 37)(13, 50)(14, 55)(15, 56)(16, 57)(17, 58)(18, 41)(19, 42)(20, 43)(21, 44)(22, 45)(23, 52)(24, 62)(25, 63)(26, 64)(27, 51)(28, 53)(29, 54)(30, 59)(31, 60)(32, 61)
	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 E13.633
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 2 e = 32 f = 6
	degree seq :: [ 32^2 ]

E13.636 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {8, 16, 16})
Quotient :: dipole
Aut^+ = C16 x C2 (small group id <32, 16>)
Aut   = C2 x D32 (small group id <64, 186>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y1, (R * Y1)^2, (R * Y2)^2, Y2 * Y3^-1 * Y2^-1 * Y1^-1, (R * Y3)^2, Y2^-4 * Y1^2, Y3^8, Y1^8, Y2^-1 * Y1^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 ]
Map::
	R = (1, 33, 2, 34, 6, 38, 14, 46, 23, 55, 20, 52, 11, 43, 4, 36)(3, 35, 7, 39, 15, 47, 24, 56, 30, 62, 27, 59, 19, 51, 10, 42)(5, 37, 8, 40, 16, 48, 25, 57, 31, 63, 28, 60, 21, 53, 12, 44)(9, 41, 17, 49, 26, 58, 32, 64, 29, 61, 22, 54, 13, 45, 18, 50)(65, 97, 67, 99, 73, 105, 80, 112, 70, 102, 79, 111, 90, 122, 95, 127, 87, 119, 94, 126, 93, 125, 85, 117, 75, 107, 83, 115, 77, 109, 69, 101)(66, 98, 71, 103, 81, 113, 89, 121, 78, 110, 88, 120, 96, 128, 92, 124, 84, 116, 91, 123, 86, 118, 76, 108, 68, 100, 74, 106, 82, 114, 72, 104)
	L = (1, 68)(2, 65)(3, 74)(4, 75)(5, 76)(6, 66)(7, 67)(8, 69)(9, 82)(10, 83)(11, 84)(12, 85)(13, 86)(14, 70)(15, 71)(16, 72)(17, 73)(18, 77)(19, 91)(20, 87)(21, 92)(22, 93)(23, 78)(24, 79)(25, 80)(26, 81)(27, 94)(28, 95)(29, 96)(30, 88)(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) :: { ( 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32 ), ( 2, 32, 2, 32, 2, 32, 2, 32, 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 E13.639
Graph:: bipartite
	v = 6 e = 64 f = 34
	degree seq :: [ 16^4, 32^2 ]

E13.637 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {8, 16, 16})
Quotient :: dipole
Aut^+ = C16 x C2 (small group id <32, 16>)
Aut   = C2 x D32 (small group id <64, 186>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y1, (R * Y3)^2, (R * Y1)^2, (Y3^-1, Y2), (Y2^-1, Y1^-1), (R * Y2)^2, Y2^-1 * Y3 * Y2^-3 * Y1^-1, Y3^8, Y1^8, Y2^16 ]
Map::
	R = (1, 33, 2, 34, 6, 38, 14, 46, 23, 55, 22, 54, 11, 43, 4, 36)(3, 35, 7, 39, 15, 47, 24, 56, 30, 62, 29, 61, 21, 53, 10, 42)(5, 37, 8, 40, 16, 48, 25, 57, 31, 63, 27, 59, 19, 51, 12, 44)(9, 41, 17, 49, 13, 45, 18, 50, 26, 58, 32, 64, 28, 60, 20, 52)(65, 97, 67, 99, 73, 105, 83, 115, 75, 107, 85, 117, 92, 124, 95, 127, 87, 119, 94, 126, 90, 122, 80, 112, 70, 102, 79, 111, 77, 109, 69, 101)(66, 98, 71, 103, 81, 113, 76, 108, 68, 100, 74, 106, 84, 116, 91, 123, 86, 118, 93, 125, 96, 128, 89, 121, 78, 110, 88, 120, 82, 114, 72, 104)
	L = (1, 68)(2, 65)(3, 74)(4, 75)(5, 76)(6, 66)(7, 67)(8, 69)(9, 84)(10, 85)(11, 86)(12, 83)(13, 81)(14, 70)(15, 71)(16, 72)(17, 73)(18, 77)(19, 91)(20, 92)(21, 93)(22, 87)(23, 78)(24, 79)(25, 80)(26, 82)(27, 95)(28, 96)(29, 94)(30, 88)(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) :: { ( 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32 ), ( 2, 32, 2, 32, 2, 32, 2, 32, 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 E13.638
Graph:: bipartite
	v = 6 e = 64 f = 34
	degree seq :: [ 16^4, 32^2 ]

E13.638 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {8, 16, 16})
Quotient :: dipole
Aut^+ = C16 x C2 (small group id <32, 16>)
Aut   = C2 x D32 (small group id <64, 186>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y1)^2, (R * Y3)^2, (Y3, Y1), Y3^-2 * Y1^-4, (R * Y2 * Y3^-1)^2, Y3^-8, Y3^8, (Y3 * Y2^-1)^8 ]
Map::
	R = (1, 33, 2, 34, 6, 38, 14, 46, 13, 45, 18, 50, 24, 56, 30, 62, 27, 59, 32, 64, 29, 61, 20, 52, 9, 41, 17, 49, 11, 43, 4, 36)(3, 35, 7, 39, 15, 47, 12, 44, 5, 37, 8, 40, 16, 48, 23, 55, 22, 54, 26, 58, 31, 63, 28, 60, 19, 51, 25, 57, 21, 53, 10, 42)(65, 97)(66, 98)(67, 99)(68, 100)(69, 101)(70, 102)(71, 103)(72, 104)(73, 105)(74, 106)(75, 107)(76, 108)(77, 109)(78, 110)(79, 111)(80, 112)(81, 113)(82, 114)(83, 115)(84, 116)(85, 117)(86, 118)(87, 119)(88, 120)(89, 121)(90, 122)(91, 123)(92, 124)(93, 125)(94, 126)(95, 127)(96, 128)
	L = (1, 67)(2, 71)(3, 73)(4, 74)(5, 65)(6, 79)(7, 81)(8, 66)(9, 83)(10, 84)(11, 85)(12, 68)(13, 69)(14, 76)(15, 75)(16, 70)(17, 89)(18, 72)(19, 91)(20, 92)(21, 93)(22, 77)(23, 78)(24, 80)(25, 96)(26, 82)(27, 86)(28, 94)(29, 95)(30, 87)(31, 88)(32, 90)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 16, 32 ), ( 16, 32, 16, 32, 16, 32, 16, 32, 16, 32, 16, 32, 16, 32, 16, 32, 16, 32, 16, 32, 16, 32, 16, 32, 16, 32, 16, 32, 16, 32, 16, 32 ) }
Outer automorphisms :: reflexible
Dual of E13.637
Graph:: simple bipartite
	v = 34 e = 64 f = 6
	degree seq :: [ 2^32, 32^2 ]

E13.639 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {8, 16, 16})
Quotient :: dipole
Aut^+ = C16 x C2 (small group id <32, 16>)
Aut   = C2 x D32 (small group id <64, 186>)
|r| :: 2
Presentation :: [ Y2, R^2, (Y1, Y3^-1), (R * Y1)^2, (R * Y3)^2, Y1^-4 * Y3^2, (R * Y2 * Y3^-1)^2, Y3^-8, Y3^8, (Y3 * Y2^-1)^8 ]
Map::
	R = (1, 33, 2, 34, 6, 38, 14, 46, 9, 41, 17, 49, 24, 56, 30, 62, 27, 59, 32, 64, 28, 60, 21, 53, 13, 45, 18, 50, 11, 43, 4, 36)(3, 35, 7, 39, 15, 47, 23, 55, 19, 51, 25, 57, 31, 63, 29, 61, 22, 54, 26, 58, 20, 52, 12, 44, 5, 37, 8, 40, 16, 48, 10, 42)(65, 97)(66, 98)(67, 99)(68, 100)(69, 101)(70, 102)(71, 103)(72, 104)(73, 105)(74, 106)(75, 107)(76, 108)(77, 109)(78, 110)(79, 111)(80, 112)(81, 113)(82, 114)(83, 115)(84, 116)(85, 117)(86, 118)(87, 119)(88, 120)(89, 121)(90, 122)(91, 123)(92, 124)(93, 125)(94, 126)(95, 127)(96, 128)
	L = (1, 67)(2, 71)(3, 73)(4, 74)(5, 65)(6, 79)(7, 81)(8, 66)(9, 83)(10, 78)(11, 80)(12, 68)(13, 69)(14, 87)(15, 88)(16, 70)(17, 89)(18, 72)(19, 91)(20, 75)(21, 76)(22, 77)(23, 94)(24, 95)(25, 96)(26, 82)(27, 86)(28, 84)(29, 85)(30, 93)(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) :: { ( 16, 32 ), ( 16, 32, 16, 32, 16, 32, 16, 32, 16, 32, 16, 32, 16, 32, 16, 32, 16, 32, 16, 32, 16, 32, 16, 32, 16, 32, 16, 32, 16, 32, 16, 32 ) }
Outer automorphisms :: reflexible
Dual of E13.636
Graph:: simple bipartite
	v = 34 e = 64 f = 6
	degree seq :: [ 2^32, 32^2 ]

E13.640 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {8, 16, 16})
Quotient :: edge
Aut^+ = C16 : C2 (small group id <32, 17>)
Aut   = (C2 x D16) : C2 (small group id <64, 190>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, T1^-2 * T2 * T1^-1 * T2^-1 * T1^-1, T1^-1 * T2^-4 * T1^-1, T2 * T1^-3 * T2^-1 * T1^-1, T2^2 * T1 * T2^-2 * T1^-1, T2 * T1^2 * T2^-1 * T1^-2, T2^3 * T1^-1 * T2 * T1^-1, (T2^-2 * T1^-1)^2, (T2^-1, T1^-1)^2, (T2 * T1 * T2 * T1^-1)^8 ]
Map:: non-degenerate
	R = (1, 3, 10, 24, 13, 21, 32, 25, 30, 23, 31, 20, 6, 19, 17, 5)(2, 7, 22, 14, 4, 12, 29, 15, 28, 9, 27, 16, 18, 11, 26, 8)(33, 34, 38, 50, 62, 60, 45, 36)(35, 41, 51, 44, 55, 39, 53, 43)(37, 47, 52, 46, 57, 40, 56, 48)(42, 54, 49, 58, 63, 59, 64, 61)
	L = (1, 33)(2, 34)(3, 35)(4, 36)(5, 37)(6, 38)(7, 39)(8, 40)(9, 41)(10, 42)(11, 43)(12, 44)(13, 45)(14, 46)(15, 47)(16, 48)(17, 49)(18, 50)(19, 51)(20, 52)(21, 53)(22, 54)(23, 55)(24, 56)(25, 57)(26, 58)(27, 59)(28, 60)(29, 61)(30, 62)(31, 63)(32, 64)
	local type(s) :: { ( 32^8 ), ( 32^16 ) }
Outer automorphisms :: reflexible
Dual of E13.642
Transitivity :: ET+
Graph:: bipartite
	v = 6 e = 32 f = 2
	degree seq :: [ 8^4, 16^2 ]

E13.641 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {8, 16, 16})
Quotient :: edge
Aut^+ = C16 : C2 (small group id <32, 17>)
Aut   = (C2 x D16) : C2 (small group id <64, 190>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, T2^3 * T1^-2 * T2, (T2^-2 * T1)^2, T1^-2 * T2 * T1^-1 * T2^-1 * T1^-1, T2 * T1^-3 * T2^-1 * T1^-1, T2 * T1^2 * T2^-1 * T1^-2 ]
Map:: non-degenerate
	R = (1, 3, 10, 20, 6, 19, 31, 25, 30, 23, 32, 24, 13, 21, 17, 5)(2, 7, 22, 16, 18, 11, 29, 15, 28, 9, 27, 14, 4, 12, 26, 8)(33, 34, 38, 50, 62, 60, 45, 36)(35, 41, 51, 44, 55, 39, 53, 43)(37, 47, 52, 46, 57, 40, 56, 48)(42, 54, 63, 61, 64, 59, 49, 58)
	L = (1, 33)(2, 34)(3, 35)(4, 36)(5, 37)(6, 38)(7, 39)(8, 40)(9, 41)(10, 42)(11, 43)(12, 44)(13, 45)(14, 46)(15, 47)(16, 48)(17, 49)(18, 50)(19, 51)(20, 52)(21, 53)(22, 54)(23, 55)(24, 56)(25, 57)(26, 58)(27, 59)(28, 60)(29, 61)(30, 62)(31, 63)(32, 64)
	local type(s) :: { ( 32^8 ), ( 32^16 ) }
Outer automorphisms :: reflexible
Dual of E13.643
Transitivity :: ET+
Graph:: bipartite
	v = 6 e = 32 f = 2
	degree seq :: [ 8^4, 16^2 ]

E13.642 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {8, 16, 16})
Quotient :: loop
Aut^+ = C16 : C2 (small group id <32, 17>)
Aut   = (C2 x D16) : C2 (small group id <64, 190>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, T1^-2 * T2 * T1^-1 * T2^-1 * T1^-1, T1^-1 * T2^-4 * T1^-1, T2 * T1^-3 * T2^-1 * T1^-1, T2^2 * T1 * T2^-2 * T1^-1, T2 * T1^2 * T2^-1 * T1^-2, T2^3 * T1^-1 * T2 * T1^-1, (T2^-2 * T1^-1)^2, (T2^-1, T1^-1)^2, (T2 * T1 * T2 * T1^-1)^8 ]
Map:: non-degenerate
	R = (1, 33, 3, 35, 10, 42, 24, 56, 13, 45, 21, 53, 32, 64, 25, 57, 30, 62, 23, 55, 31, 63, 20, 52, 6, 38, 19, 51, 17, 49, 5, 37)(2, 34, 7, 39, 22, 54, 14, 46, 4, 36, 12, 44, 29, 61, 15, 47, 28, 60, 9, 41, 27, 59, 16, 48, 18, 50, 11, 43, 26, 58, 8, 40)
	L = (1, 34)(2, 38)(3, 41)(4, 33)(5, 47)(6, 50)(7, 53)(8, 56)(9, 51)(10, 54)(11, 35)(12, 55)(13, 36)(14, 57)(15, 52)(16, 37)(17, 58)(18, 62)(19, 44)(20, 46)(21, 43)(22, 49)(23, 39)(24, 48)(25, 40)(26, 63)(27, 64)(28, 45)(29, 42)(30, 60)(31, 59)(32, 61)
	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 E13.640
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 2 e = 32 f = 6
	degree seq :: [ 32^2 ]

E13.643 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {8, 16, 16})
Quotient :: loop
Aut^+ = C16 : C2 (small group id <32, 17>)
Aut   = (C2 x D16) : C2 (small group id <64, 190>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, T2^3 * T1^-2 * T2, (T2^-2 * T1)^2, T1^-2 * T2 * T1^-1 * T2^-1 * T1^-1, T2 * T1^-3 * T2^-1 * T1^-1, T2 * T1^2 * T2^-1 * T1^-2 ]
Map:: non-degenerate
	R = (1, 33, 3, 35, 10, 42, 20, 52, 6, 38, 19, 51, 31, 63, 25, 57, 30, 62, 23, 55, 32, 64, 24, 56, 13, 45, 21, 53, 17, 49, 5, 37)(2, 34, 7, 39, 22, 54, 16, 48, 18, 50, 11, 43, 29, 61, 15, 47, 28, 60, 9, 41, 27, 59, 14, 46, 4, 36, 12, 44, 26, 58, 8, 40)
	L = (1, 34)(2, 38)(3, 41)(4, 33)(5, 47)(6, 50)(7, 53)(8, 56)(9, 51)(10, 54)(11, 35)(12, 55)(13, 36)(14, 57)(15, 52)(16, 37)(17, 58)(18, 62)(19, 44)(20, 46)(21, 43)(22, 63)(23, 39)(24, 48)(25, 40)(26, 42)(27, 49)(28, 45)(29, 64)(30, 60)(31, 61)(32, 59)
	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 E13.641
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 2 e = 32 f = 6
	degree seq :: [ 32^2 ]

E13.644 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {8, 16, 16})
Quotient :: dipole
Aut^+ = C16 : C2 (small group id <32, 17>)
Aut   = (C2 x D16) : C2 (small group id <64, 190>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y3^-1, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, (Y2^2 * Y1^-1)^2, Y3^2 * Y2 * Y1^-1 * Y2^-1 * Y1^-1, Y3^-1 * Y2 * Y1 * Y3^-1 * Y1 * Y2^-1, Y2^2 * Y1 * Y2^-2 * Y1^-1, Y2 * Y3 * Y1^-2 * Y2^-1 * Y1^-1, Y2^2 * Y3 * Y1^-1 * Y2^2, Y3^2 * Y1^-1 * Y2 * Y1^-1 * Y2^-1, Y1^-1 * Y2^-1 * Y3 * Y2^-3, Y2 * Y1^2 * Y2^-1 * Y1^-2, (Y1 * Y3^-1)^4, Y1^8, Y3 * Y2^-2 * Y3 * Y2^-1 * Y3^-1 * Y2^-1 * Y1^-1 ]
Map::
	R = (1, 33, 2, 34, 6, 38, 18, 50, 30, 62, 28, 60, 13, 45, 4, 36)(3, 35, 9, 41, 19, 51, 12, 44, 23, 55, 7, 39, 21, 53, 11, 43)(5, 37, 15, 47, 20, 52, 14, 46, 25, 57, 8, 40, 24, 56, 16, 48)(10, 42, 22, 54, 31, 63, 29, 61, 32, 64, 27, 59, 17, 49, 26, 58)(65, 97, 67, 99, 74, 106, 84, 116, 70, 102, 83, 115, 95, 127, 89, 121, 94, 126, 87, 119, 96, 128, 88, 120, 77, 109, 85, 117, 81, 113, 69, 101)(66, 98, 71, 103, 86, 118, 80, 112, 82, 114, 75, 107, 93, 125, 79, 111, 92, 124, 73, 105, 91, 123, 78, 110, 68, 100, 76, 108, 90, 122, 72, 104)
	L = (1, 68)(2, 65)(3, 75)(4, 77)(5, 80)(6, 66)(7, 87)(8, 89)(9, 67)(10, 90)(11, 85)(12, 83)(13, 92)(14, 84)(15, 69)(16, 88)(17, 91)(18, 70)(19, 73)(20, 79)(21, 71)(22, 74)(23, 76)(24, 72)(25, 78)(26, 81)(27, 96)(28, 94)(29, 95)(30, 82)(31, 86)(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) :: { ( 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32 ), ( 2, 32, 2, 32, 2, 32, 2, 32, 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 E13.647
Graph:: bipartite
	v = 6 e = 64 f = 34
	degree seq :: [ 16^4, 32^2 ]

E13.645 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {8, 16, 16})
Quotient :: dipole
Aut^+ = C16 : C2 (small group id <32, 17>)
Aut   = (C2 x D16) : C2 (small group id <64, 190>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1^-1, (Y3^-1, Y1^-1), Y3^2 * Y1^2, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, Y2 * Y1^-1 * Y2^3 * Y1^-1, Y3^2 * Y2^-1 * Y1^-1 * Y2 * Y1^-1, Y2 * Y3 * Y2^-1 * Y1^-1 * Y3 * Y1^-1, Y3 * Y2^-1 * Y1 * Y3^-1 * Y2 * Y1^-1, Y2^-1 * Y3 * Y2 * Y1^-3, Y3 * Y2^-4 * Y1^-1, Y2^-2 * Y3 * Y2^-2 * Y1^-1, Y2^2 * Y1 * Y2^-2 * Y1^-1, Y3 * Y2^2 * Y3^-1 * Y2^-2, Y2 * Y1^2 * Y2^-1 * Y1^-2, Y3 * Y2 * Y1 * Y3^-1 * Y2^-1 * Y1^-1, (Y2^-1, Y3)^2, (Y3 * Y2 * Y1 * Y2)^8 ]
Map::
	R = (1, 33, 2, 34, 6, 38, 18, 50, 30, 62, 28, 60, 13, 45, 4, 36)(3, 35, 9, 41, 19, 51, 12, 44, 23, 55, 7, 39, 21, 53, 11, 43)(5, 37, 15, 47, 20, 52, 14, 46, 25, 57, 8, 40, 24, 56, 16, 48)(10, 42, 22, 54, 17, 49, 26, 58, 31, 63, 27, 59, 32, 64, 29, 61)(65, 97, 67, 99, 74, 106, 88, 120, 77, 109, 85, 117, 96, 128, 89, 121, 94, 126, 87, 119, 95, 127, 84, 116, 70, 102, 83, 115, 81, 113, 69, 101)(66, 98, 71, 103, 86, 118, 78, 110, 68, 100, 76, 108, 93, 125, 79, 111, 92, 124, 73, 105, 91, 123, 80, 112, 82, 114, 75, 107, 90, 122, 72, 104)
	L = (1, 68)(2, 65)(3, 75)(4, 77)(5, 80)(6, 66)(7, 87)(8, 89)(9, 67)(10, 93)(11, 85)(12, 83)(13, 92)(14, 84)(15, 69)(16, 88)(17, 86)(18, 70)(19, 73)(20, 79)(21, 71)(22, 74)(23, 76)(24, 72)(25, 78)(26, 81)(27, 95)(28, 94)(29, 96)(30, 82)(31, 90)(32, 91)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32 ), ( 2, 32, 2, 32, 2, 32, 2, 32, 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 E13.646
Graph:: bipartite
	v = 6 e = 64 f = 34
	degree seq :: [ 16^4, 32^2 ]

E13.646 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {8, 16, 16})
Quotient :: dipole
Aut^+ = C16 : C2 (small group id <32, 17>)
Aut   = (C2 x D16) : C2 (small group id <64, 190>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y1)^2, (R * Y3)^2, Y3 * Y1 * Y3 * Y1^-1 * Y3^2, Y1 * Y3^-1 * Y1^-2 * Y3 * Y1, (R * Y2 * Y3^-1)^2, Y3^-2 * Y1^-4, Y3^2 * Y1 * Y3^-2 * Y1^-1, (Y1^-1 * Y3^-1 * Y1^-1)^2, Y3 * Y1 * Y3^3 * Y1^-1, (Y3 * Y2^-1)^8, Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-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^-1 * Y3 * Y1^-1 * Y3 ]
Map::
	R = (1, 33, 2, 34, 6, 38, 18, 50, 17, 49, 26, 58, 30, 62, 29, 61, 32, 64, 27, 59, 31, 63, 28, 60, 10, 42, 22, 54, 13, 45, 4, 36)(3, 35, 9, 41, 19, 51, 16, 48, 5, 37, 15, 47, 20, 52, 12, 44, 23, 55, 7, 39, 21, 53, 14, 46, 25, 57, 8, 40, 24, 56, 11, 43)(65, 97)(66, 98)(67, 99)(68, 100)(69, 101)(70, 102)(71, 103)(72, 104)(73, 105)(74, 106)(75, 107)(76, 108)(77, 109)(78, 110)(79, 111)(80, 112)(81, 113)(82, 114)(83, 115)(84, 116)(85, 117)(86, 118)(87, 119)(88, 120)(89, 121)(90, 122)(91, 123)(92, 124)(93, 125)(94, 126)(95, 127)(96, 128)
	L = (1, 67)(2, 71)(3, 74)(4, 76)(5, 65)(6, 83)(7, 86)(8, 66)(9, 90)(10, 89)(11, 82)(12, 92)(13, 88)(14, 68)(15, 91)(16, 93)(17, 69)(18, 78)(19, 77)(20, 70)(21, 94)(22, 79)(23, 81)(24, 95)(25, 96)(26, 72)(27, 73)(28, 80)(29, 75)(30, 84)(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) :: { ( 16, 32 ), ( 16, 32, 16, 32, 16, 32, 16, 32, 16, 32, 16, 32, 16, 32, 16, 32, 16, 32, 16, 32, 16, 32, 16, 32, 16, 32, 16, 32, 16, 32, 16, 32 ) }
Outer automorphisms :: reflexible
Dual of E13.645
Graph:: simple bipartite
	v = 34 e = 64 f = 6
	degree seq :: [ 2^32, 32^2 ]

E13.647 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {8, 16, 16})
Quotient :: dipole
Aut^+ = C16 : C2 (small group id <32, 17>)
Aut   = (C2 x D16) : C2 (small group id <64, 190>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y1)^2, (R * Y3)^2, Y1^-1 * Y3^-2 * Y1 * Y3^2, (R * Y2 * Y3^-1)^2, Y1 * Y3^-2 * Y1^3, Y3^-3 * Y1^-1 * Y3^-1 * Y1, Y1^-1 * Y3^-1 * Y1^2 * Y3 * Y1^-1, (Y1^-1 * Y3 * Y1^-1)^2, Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3^-1 * Y1^-1, (Y3 * Y2^-1)^8 ]
Map::
	R = (1, 33, 2, 34, 6, 38, 18, 50, 10, 42, 22, 54, 30, 62, 29, 61, 32, 64, 27, 59, 31, 63, 28, 60, 17, 49, 26, 58, 13, 45, 4, 36)(3, 35, 9, 41, 19, 51, 14, 46, 25, 57, 8, 40, 24, 56, 12, 44, 23, 55, 7, 39, 21, 53, 16, 48, 5, 37, 15, 47, 20, 52, 11, 43)(65, 97)(66, 98)(67, 99)(68, 100)(69, 101)(70, 102)(71, 103)(72, 104)(73, 105)(74, 106)(75, 107)(76, 108)(77, 109)(78, 110)(79, 111)(80, 112)(81, 113)(82, 114)(83, 115)(84, 116)(85, 117)(86, 118)(87, 119)(88, 120)(89, 121)(90, 122)(91, 123)(92, 124)(93, 125)(94, 126)(95, 127)(96, 128)
	L = (1, 67)(2, 71)(3, 74)(4, 76)(5, 65)(6, 83)(7, 86)(8, 66)(9, 90)(10, 89)(11, 92)(12, 82)(13, 84)(14, 68)(15, 91)(16, 93)(17, 69)(18, 80)(19, 94)(20, 70)(21, 77)(22, 79)(23, 81)(24, 95)(25, 96)(26, 72)(27, 73)(28, 78)(29, 75)(30, 88)(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) :: { ( 16, 32 ), ( 16, 32, 16, 32, 16, 32, 16, 32, 16, 32, 16, 32, 16, 32, 16, 32, 16, 32, 16, 32, 16, 32, 16, 32, 16, 32, 16, 32, 16, 32, 16, 32 ) }
Outer automorphisms :: reflexible
Dual of E13.644
Graph:: simple bipartite
	v = 34 e = 64 f = 6
	degree seq :: [ 2^32, 32^2 ]

E13.648 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {3, 3, 3, 3})
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, Y2^3, Y3^3, Y2^-1 * Y1^-1 * Y3, Y1^3, (R * Y3)^2, R * Y1 * R * Y2, (Y3 * Y1^-1 * Y2^-1)^2 ]
Map:: non-degenerate
	R = (1, 37, 4, 40, 7, 43)(2, 38, 8, 44, 10, 46)(3, 39, 12, 48, 5, 41)(6, 42, 18, 54, 13, 49)(9, 45, 23, 59, 15, 51)(11, 47, 25, 61, 27, 63)(14, 50, 30, 66, 31, 67)(16, 52, 32, 68, 21, 57)(17, 53, 19, 55, 34, 70)(20, 56, 35, 71, 29, 65)(22, 58, 24, 60, 33, 69)(26, 62, 36, 72, 28, 64)(73, 74, 77)(75, 83, 85)(76, 86, 87)(78, 89, 79)(80, 92, 93)(81, 94, 82)(84, 88, 100)(90, 101, 96)(91, 104, 103)(95, 99, 98)(97, 102, 107)(105, 108, 106)(109, 111, 114)(110, 112, 117)(113, 116, 124)(115, 127, 122)(118, 132, 128)(119, 120, 134)(121, 133, 137)(123, 138, 135)(125, 126, 141)(129, 143, 139)(130, 131, 144)(136, 140, 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) :: { ( 12^3 ), ( 12^6 ) }
Outer automorphisms :: reflexible
Dual of E13.650
Graph:: simple bipartite
	v = 36 e = 72 f = 12
	degree seq :: [ 3^24, 6^12 ]

E13.649 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {3, 3, 3, 3})
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, Y2^3, Y3^3, Y1^3, (Y2 * Y1^-1)^2, (R * Y3)^2, R * Y1 * R * Y2, (Y1 * Y2^-1)^2, Y2^-1 * Y3 * Y1 * Y3^-1, Y3 * Y2 * Y3^-1 * Y2 * Y1, Y3 * Y1 * Y2 * Y3^-1 * Y2^-1 * Y1^-1, Y3^-1 * Y1 * Y2^-1 * Y3^-1 * Y2^-1 * Y1^-1 * Y3^-1 * Y2^-1 ]
Map:: polytopal non-degenerate
	R = (1, 37, 4, 40, 7, 43)(2, 38, 9, 45, 11, 47)(3, 39, 13, 49, 14, 50)(5, 41, 19, 55, 21, 57)(6, 42, 16, 52, 23, 59)(8, 44, 27, 63, 28, 64)(10, 46, 29, 65, 31, 67)(12, 48, 17, 53, 25, 61)(15, 51, 24, 60, 20, 56)(18, 54, 33, 69, 34, 70)(22, 58, 35, 71, 36, 72)(26, 62, 30, 66, 32, 68)(73, 74, 77)(75, 84, 82)(76, 85, 88)(78, 90, 94)(79, 96, 97)(80, 98, 92)(81, 99, 101)(83, 95, 104)(86, 100, 106)(87, 91, 105)(89, 102, 107)(93, 103, 108)(109, 111, 114)(110, 116, 118)(112, 123, 125)(113, 126, 128)(115, 119, 129)(117, 124, 138)(120, 134, 130)(121, 135, 141)(122, 133, 139)(127, 137, 143)(131, 142, 144)(132, 136, 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) :: { ( 12^3 ), ( 12^6 ) }
Outer automorphisms :: reflexible
Dual of E13.651
Graph:: simple bipartite
	v = 36 e = 72 f = 12
	degree seq :: [ 3^24, 6^12 ]

E13.650 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {3, 3, 3, 3})
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, Y2^3, Y3^3, Y2^-1 * Y1^-1 * Y3, Y1^3, (R * Y3)^2, R * Y1 * R * Y2, (Y3 * Y1^-1 * Y2^-1)^2 ]
Map:: non-degenerate
	R = (1, 37, 73, 109, 4, 40, 76, 112, 7, 43, 79, 115)(2, 38, 74, 110, 8, 44, 80, 116, 10, 46, 82, 118)(3, 39, 75, 111, 12, 48, 84, 120, 5, 41, 77, 113)(6, 42, 78, 114, 18, 54, 90, 126, 13, 49, 85, 121)(9, 45, 81, 117, 23, 59, 95, 131, 15, 51, 87, 123)(11, 47, 83, 119, 25, 61, 97, 133, 27, 63, 99, 135)(14, 50, 86, 122, 30, 66, 102, 138, 31, 67, 103, 139)(16, 52, 88, 124, 32, 68, 104, 140, 21, 57, 93, 129)(17, 53, 89, 125, 19, 55, 91, 127, 34, 70, 106, 142)(20, 56, 92, 128, 35, 71, 107, 143, 29, 65, 101, 137)(22, 58, 94, 130, 24, 60, 96, 132, 33, 69, 105, 141)(26, 62, 98, 134, 36, 72, 108, 144, 28, 64, 100, 136)
	L = (1, 38)(2, 41)(3, 47)(4, 50)(5, 37)(6, 53)(7, 42)(8, 56)(9, 58)(10, 45)(11, 49)(12, 52)(13, 39)(14, 51)(15, 40)(16, 64)(17, 43)(18, 65)(19, 68)(20, 57)(21, 44)(22, 46)(23, 63)(24, 54)(25, 66)(26, 59)(27, 62)(28, 48)(29, 60)(30, 71)(31, 55)(32, 67)(33, 72)(34, 69)(35, 61)(36, 70)(73, 111)(74, 112)(75, 114)(76, 117)(77, 116)(78, 109)(79, 127)(80, 124)(81, 110)(82, 132)(83, 120)(84, 134)(85, 133)(86, 115)(87, 138)(88, 113)(89, 126)(90, 141)(91, 122)(92, 118)(93, 143)(94, 131)(95, 144)(96, 128)(97, 137)(98, 119)(99, 123)(100, 140)(101, 121)(102, 135)(103, 129)(104, 142)(105, 125)(106, 136)(107, 139)(108, 130)
	local type(s) :: { ( 3, 6, 3, 6, 3, 6, 3, 6, 3, 6, 3, 6 ) }
Outer automorphisms :: reflexible
Dual of E13.648
Transitivity :: VT+
Graph::
	v = 12 e = 72 f = 36
	degree seq :: [ 12^12 ]

E13.651 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {3, 3, 3, 3})
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, Y2^3, Y3^3, Y1^3, (Y2 * Y1^-1)^2, (R * Y3)^2, R * Y1 * R * Y2, (Y1 * Y2^-1)^2, Y2^-1 * Y3 * Y1 * Y3^-1, Y3 * Y2 * Y3^-1 * Y2 * Y1, Y3 * Y1 * Y2 * Y3^-1 * Y2^-1 * Y1^-1, Y3^-1 * Y1 * Y2^-1 * Y3^-1 * Y2^-1 * Y1^-1 * Y3^-1 * Y2^-1 ]
Map:: polytopal non-degenerate
	R = (1, 37, 73, 109, 4, 40, 76, 112, 7, 43, 79, 115)(2, 38, 74, 110, 9, 45, 81, 117, 11, 47, 83, 119)(3, 39, 75, 111, 13, 49, 85, 121, 14, 50, 86, 122)(5, 41, 77, 113, 19, 55, 91, 127, 21, 57, 93, 129)(6, 42, 78, 114, 16, 52, 88, 124, 23, 59, 95, 131)(8, 44, 80, 116, 27, 63, 99, 135, 28, 64, 100, 136)(10, 46, 82, 118, 29, 65, 101, 137, 31, 67, 103, 139)(12, 48, 84, 120, 17, 53, 89, 125, 25, 61, 97, 133)(15, 51, 87, 123, 24, 60, 96, 132, 20, 56, 92, 128)(18, 54, 90, 126, 33, 69, 105, 141, 34, 70, 106, 142)(22, 58, 94, 130, 35, 71, 107, 143, 36, 72, 108, 144)(26, 62, 98, 134, 30, 66, 102, 138, 32, 68, 104, 140)
	L = (1, 38)(2, 41)(3, 48)(4, 49)(5, 37)(6, 54)(7, 60)(8, 62)(9, 63)(10, 39)(11, 59)(12, 46)(13, 52)(14, 64)(15, 55)(16, 40)(17, 66)(18, 58)(19, 69)(20, 44)(21, 67)(22, 42)(23, 68)(24, 61)(25, 43)(26, 56)(27, 65)(28, 70)(29, 45)(30, 71)(31, 72)(32, 47)(33, 51)(34, 50)(35, 53)(36, 57)(73, 111)(74, 116)(75, 114)(76, 123)(77, 126)(78, 109)(79, 119)(80, 118)(81, 124)(82, 110)(83, 129)(84, 134)(85, 135)(86, 133)(87, 125)(88, 138)(89, 112)(90, 128)(91, 137)(92, 113)(93, 115)(94, 120)(95, 142)(96, 136)(97, 139)(98, 130)(99, 141)(100, 140)(101, 143)(102, 117)(103, 122)(104, 132)(105, 121)(106, 144)(107, 127)(108, 131)
	local type(s) :: { ( 3, 6, 3, 6, 3, 6, 3, 6, 3, 6, 3, 6 ) }
Outer automorphisms :: reflexible
Dual of E13.649
Transitivity :: VT+
Graph::
	v = 12 e = 72 f = 36
	degree seq :: [ 12^12 ]

E13.652 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 3, 3, 3})
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, Y2^3, Y3^3, (Y3, Y2), (R * Y2^-1)^2, (R * Y1)^2, (Y3 * Y1^-1)^2, (R * Y3)^2, (Y2^-1, Y1^-1), (Y3^-1 * Y1^-1)^3 ]
Map:: polytopal non-degenerate
	R = (1, 37, 2, 38, 5, 41)(3, 39, 8, 44, 13, 49)(4, 40, 15, 51, 11, 47)(6, 42, 10, 46, 18, 54)(7, 43, 17, 53, 21, 57)(9, 45, 24, 60, 19, 55)(12, 48, 27, 63, 23, 59)(14, 50, 28, 64, 30, 66)(16, 52, 31, 67, 26, 62)(20, 56, 32, 68, 34, 70)(22, 58, 35, 71, 29, 65)(25, 61, 36, 72, 33, 69)(73, 109, 75, 111, 78, 114)(74, 110, 80, 116, 82, 118)(76, 112, 84, 120, 88, 124)(77, 113, 85, 121, 90, 126)(79, 115, 86, 122, 92, 128)(81, 117, 94, 130, 97, 133)(83, 119, 95, 131, 98, 134)(87, 123, 99, 135, 103, 139)(89, 125, 100, 136, 104, 140)(91, 127, 101, 137, 105, 141)(93, 129, 102, 138, 106, 142)(96, 132, 107, 143, 108, 144)
	L = (1, 76)(2, 81)(3, 84)(4, 79)(5, 89)(6, 88)(7, 73)(8, 94)(9, 83)(10, 97)(11, 74)(12, 86)(13, 100)(14, 75)(15, 96)(16, 92)(17, 91)(18, 104)(19, 77)(20, 78)(21, 87)(22, 95)(23, 80)(24, 93)(25, 98)(26, 82)(27, 107)(28, 101)(29, 85)(30, 99)(31, 108)(32, 105)(33, 90)(34, 103)(35, 102)(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) :: { ( 6^6 ) }
Outer automorphisms :: reflexible
Dual of E13.656
Graph:: simple bipartite
	v = 24 e = 72 f = 24
	degree seq :: [ 6^24 ]

E13.653 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 3, 3, 3})
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, Y3^2, Y2^3, Y1^3, (R * Y3)^2, (R * Y1)^2, Y1 * Y2^-1 * Y3 * Y1^-1 * Y2, Y2^-1 * Y3 * Y1^-1 * Y2 * Y1, Y1 * Y3 * Y2 * Y1^-1 * Y2^-1, (R * Y2 * Y3)^2, Y3 * Y2 * Y3 * Y1 * Y2^-1 * Y1^-1, Y1 * Y2^-1 * Y1^-1 * Y2^-1 * Y3 * Y2^-1, (Y1^-1 * R * Y2^-1)^2, Y2^-1 * Y1^-1 * Y2 * Y1^-1 * Y3 * Y1^-1, Y2 * Y3 * Y1 * Y3 * Y2^-1 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 37, 2, 38, 5, 41)(3, 39, 10, 46, 12, 48)(4, 40, 13, 49, 15, 51)(6, 42, 20, 56, 22, 58)(7, 43, 23, 59, 25, 61)(8, 44, 26, 62, 27, 63)(9, 45, 29, 65, 30, 66)(11, 47, 24, 60, 32, 68)(14, 50, 31, 67, 17, 53)(16, 52, 28, 64, 36, 72)(18, 54, 33, 69, 34, 70)(19, 55, 21, 57, 35, 71)(73, 109, 75, 111, 78, 114)(74, 110, 79, 115, 81, 117)(76, 112, 86, 122, 88, 124)(77, 113, 89, 125, 91, 127)(80, 116, 82, 118, 100, 136)(83, 119, 102, 138, 105, 141)(84, 120, 101, 137, 87, 123)(85, 121, 96, 132, 107, 143)(90, 126, 95, 131, 108, 144)(92, 128, 106, 142, 103, 139)(93, 129, 99, 135, 97, 133)(94, 130, 98, 134, 104, 140)
	L = (1, 76)(2, 80)(3, 83)(4, 73)(5, 90)(6, 93)(7, 96)(8, 74)(9, 92)(10, 103)(11, 75)(12, 95)(13, 106)(14, 97)(15, 98)(16, 102)(17, 104)(18, 77)(19, 101)(20, 81)(21, 78)(22, 108)(23, 84)(24, 79)(25, 86)(26, 87)(27, 105)(28, 107)(29, 91)(30, 88)(31, 82)(32, 89)(33, 99)(34, 85)(35, 100)(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) :: { ( 6^6 ) }
Outer automorphisms :: reflexible selfdual
Graph:: simple bipartite
	v = 24 e = 72 f = 24
	degree seq :: [ 6^24 ]

E13.654 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 3, 3, 3})
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, Y2^3, Y3^3, (Y3, Y2), (R * Y2)^2, (R * Y3)^2, (Y1, Y3^-1), (R * Y1)^2, Y1^-1 * Y3 * Y2^-1 * Y1^-1 * Y2^-1, (Y2 * Y1^-1)^3 ]
Map:: polytopal non-degenerate
	R = (1, 37, 2, 38, 5, 41)(3, 39, 12, 48, 14, 50)(4, 40, 9, 45, 16, 52)(6, 42, 21, 57, 22, 58)(7, 43, 11, 47, 20, 56)(8, 44, 17, 53, 25, 61)(10, 46, 27, 63, 28, 64)(13, 49, 30, 66, 32, 68)(15, 51, 19, 55, 34, 70)(18, 54, 26, 62, 35, 71)(23, 59, 33, 69, 24, 60)(29, 65, 36, 72, 31, 67)(73, 109, 75, 111, 78, 114)(74, 110, 80, 116, 82, 118)(76, 112, 85, 121, 89, 125)(77, 113, 90, 126, 91, 127)(79, 115, 87, 123, 95, 131)(81, 117, 96, 132, 98, 134)(83, 119, 94, 130, 101, 137)(84, 120, 88, 124, 103, 139)(86, 122, 99, 135, 105, 141)(92, 128, 100, 136, 102, 138)(93, 129, 104, 140, 107, 143)(97, 133, 106, 142, 108, 144)
	L = (1, 76)(2, 81)(3, 85)(4, 79)(5, 88)(6, 89)(7, 73)(8, 96)(9, 83)(10, 98)(11, 74)(12, 102)(13, 87)(14, 104)(15, 75)(16, 92)(17, 95)(18, 103)(19, 84)(20, 77)(21, 97)(22, 80)(23, 78)(24, 94)(25, 105)(26, 101)(27, 107)(28, 90)(29, 82)(30, 91)(31, 100)(32, 106)(33, 93)(34, 86)(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) :: { ( 6^6 ) }
Outer automorphisms :: reflexible selfdual
Graph:: simple bipartite
	v = 24 e = 72 f = 24
	degree seq :: [ 6^24 ]

E13.655 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 3, 3, 3})
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, Y2 * Y3, Y2^3, Y1^3, (R * Y3)^2, (R * Y1)^2, (Y3 * Y2^-1)^3, (Y3^-1 * Y1^-1)^3, Y1 * Y3^-1 * Y2 * Y1 * Y2^-1 * Y1 * Y3, Y2^-1 * Y3 * Y1^-1 * Y2 * Y1^-1 * Y3^-1 * Y1^-1, Y3 * Y1 * Y2 * Y3^-1 * Y1 * Y2^-1 * Y1, Y1^-1 * Y2 * Y1 * Y3 * Y1^-1 * Y3^-1 * Y1 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 5, 41)(3, 39, 8, 44, 9, 45)(4, 40, 10, 46, 11, 47)(6, 42, 14, 50, 15, 51)(7, 43, 16, 52, 17, 53)(12, 48, 25, 61, 22, 58)(13, 49, 26, 62, 27, 63)(18, 54, 28, 64, 33, 69)(19, 55, 23, 59, 30, 66)(20, 56, 34, 70, 35, 71)(21, 57, 29, 65, 31, 67)(24, 60, 32, 68, 36, 72)(73, 109, 75, 111, 76, 112)(74, 110, 78, 114, 79, 115)(77, 113, 84, 120, 85, 121)(80, 116, 90, 126, 91, 127)(81, 117, 88, 124, 92, 128)(82, 118, 93, 129, 94, 130)(83, 119, 95, 131, 96, 132)(86, 122, 100, 136, 101, 137)(87, 123, 98, 134, 102, 138)(89, 125, 103, 139, 104, 140)(97, 133, 105, 141, 106, 142)(99, 135, 107, 143, 108, 144)
	L = (1, 76)(2, 79)(3, 73)(4, 75)(5, 85)(6, 74)(7, 78)(8, 91)(9, 92)(10, 94)(11, 96)(12, 77)(13, 84)(14, 101)(15, 102)(16, 81)(17, 104)(18, 80)(19, 90)(20, 88)(21, 82)(22, 93)(23, 83)(24, 95)(25, 106)(26, 87)(27, 108)(28, 86)(29, 100)(30, 98)(31, 89)(32, 103)(33, 97)(34, 105)(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) :: { ( 6^6 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 24 e = 72 f = 24
	degree seq :: [ 6^24 ]

E13.656 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 3, 3, 3})
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, Y3^3, Y1^3, Y3^3, Y2^3, (R * Y3)^2, (Y3^-1 * Y2^-1)^2, (R * Y1)^2, (Y1^-1, Y3^-1), Y2 * Y1 * Y3^-1 * Y2 * Y1^-1, Y3^-1 * Y2 * Y1^-1 * Y2 * Y1, Y2^-1 * Y3 * Y1^-1 * Y2^-1 * Y1, (R * Y2 * Y3^-1)^2, (Y3 * Y2^-1)^3 ]
Map:: polytopal non-degenerate
	R = (1, 37, 2, 38, 5, 41)(3, 39, 12, 48, 14, 50)(4, 40, 9, 45, 17, 53)(6, 42, 22, 58, 24, 60)(7, 43, 11, 47, 21, 57)(8, 44, 26, 62, 18, 54)(10, 46, 31, 67, 15, 51)(13, 49, 29, 65, 33, 69)(16, 52, 32, 68, 36, 72)(19, 55, 23, 59, 30, 66)(20, 56, 25, 61, 28, 64)(27, 63, 34, 70, 35, 71)(73, 109, 75, 111, 78, 114)(74, 110, 80, 116, 82, 118)(76, 112, 88, 124, 90, 126)(77, 113, 91, 127, 92, 128)(79, 115, 97, 133, 85, 121)(81, 117, 101, 137, 102, 138)(83, 119, 94, 130, 99, 135)(84, 120, 100, 136, 104, 140)(86, 122, 89, 125, 106, 142)(87, 123, 107, 143, 95, 131)(93, 129, 103, 139, 108, 144)(96, 132, 105, 141, 98, 134)
	L = (1, 76)(2, 81)(3, 85)(4, 79)(5, 89)(6, 95)(7, 73)(8, 99)(9, 83)(10, 84)(11, 74)(12, 101)(13, 87)(14, 105)(15, 75)(16, 78)(17, 93)(18, 107)(19, 108)(20, 98)(21, 77)(22, 102)(23, 88)(24, 91)(25, 90)(26, 106)(27, 100)(28, 80)(29, 82)(30, 104)(31, 86)(32, 94)(33, 103)(34, 92)(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) :: { ( 6^6 ) }
Outer automorphisms :: reflexible
Dual of E13.652
Graph:: simple bipartite
	v = 24 e = 72 f = 24
	degree seq :: [ 6^24 ]

E13.657 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 3, 3, 3})
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, Y3^3, Y1^3, Y2^3, (R * Y3)^2, (Y3^-1, Y1), (Y3^-1 * Y2^-1)^2, (R * Y1)^2, Y3^-1 * Y1^-1 * Y2 * Y1 * Y2, (Y3 * Y2^-1)^3, (Y2 * Y1^-1)^3, (R * Y2 * Y3^-1)^2 ]
Map:: polytopal non-degenerate
	R = (1, 37, 2, 38, 5, 41)(3, 39, 12, 48, 14, 50)(4, 40, 9, 45, 17, 53)(6, 42, 22, 58, 24, 60)(7, 43, 11, 47, 21, 57)(8, 44, 26, 62, 23, 59)(10, 46, 29, 65, 25, 61)(13, 49, 32, 68, 33, 69)(15, 51, 31, 67, 20, 56)(16, 52, 27, 63, 34, 70)(18, 54, 30, 66, 19, 55)(28, 64, 36, 72, 35, 71)(73, 109, 75, 111, 78, 114)(74, 110, 80, 116, 82, 118)(76, 112, 88, 124, 90, 126)(77, 113, 91, 127, 92, 128)(79, 115, 97, 133, 85, 121)(81, 117, 100, 136, 84, 120)(83, 119, 103, 139, 99, 135)(86, 122, 101, 137, 106, 142)(87, 123, 107, 143, 95, 131)(89, 125, 105, 141, 98, 134)(93, 129, 96, 132, 108, 144)(94, 130, 104, 140, 102, 138)
	L = (1, 76)(2, 81)(3, 85)(4, 79)(5, 89)(6, 95)(7, 73)(8, 99)(9, 83)(10, 102)(11, 74)(12, 104)(13, 87)(14, 105)(15, 75)(16, 78)(17, 93)(18, 107)(19, 108)(20, 86)(21, 77)(22, 80)(23, 88)(24, 98)(25, 90)(26, 106)(27, 94)(28, 82)(29, 91)(30, 100)(31, 84)(32, 103)(33, 92)(34, 96)(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) :: { ( 6^6 ) }
Outer automorphisms :: reflexible selfdual
Graph:: simple bipartite
	v = 24 e = 72 f = 24
	degree seq :: [ 6^24 ]

E13.658 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 3, 3, 3})
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, Y2^3, Y1^3, Y3^3, (Y3, Y2), (Y2^-1 * Y1^-1)^2, (Y2 * R)^2, (R * Y3)^2, (R * Y1)^2, Y3 * Y1^-1 * Y2 * Y3^-1 * Y1^-1, (Y3^-1 * Y1^-1)^3, (Y2 * Y1^-1)^3 ]
Map:: polytopal non-degenerate
	R = (1, 37, 2, 38, 5, 41)(3, 39, 12, 48, 14, 50)(4, 40, 16, 52, 17, 53)(6, 42, 22, 58, 8, 44)(7, 43, 24, 60, 25, 61)(9, 45, 28, 64, 29, 65)(10, 46, 30, 66, 19, 55)(11, 47, 15, 51, 32, 68)(13, 49, 26, 62, 34, 70)(18, 54, 20, 56, 36, 72)(21, 57, 27, 63, 35, 71)(23, 59, 31, 67, 33, 69)(73, 109, 75, 111, 78, 114)(74, 110, 80, 116, 82, 118)(76, 112, 85, 121, 90, 126)(77, 113, 91, 127, 84, 120)(79, 115, 87, 123, 95, 131)(81, 117, 98, 134, 89, 125)(83, 119, 99, 135, 103, 139)(86, 122, 102, 138, 94, 130)(88, 124, 108, 144, 100, 136)(92, 128, 106, 142, 101, 137)(93, 129, 96, 132, 105, 141)(97, 133, 107, 143, 104, 140)
	L = (1, 76)(2, 81)(3, 85)(4, 79)(5, 92)(6, 90)(7, 73)(8, 98)(9, 83)(10, 89)(11, 74)(12, 101)(13, 87)(14, 88)(15, 75)(16, 107)(17, 103)(18, 95)(19, 106)(20, 93)(21, 77)(22, 100)(23, 78)(24, 91)(25, 94)(26, 99)(27, 80)(28, 97)(29, 105)(30, 108)(31, 82)(32, 102)(33, 84)(34, 96)(35, 86)(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) :: { ( 6^6 ) }
Outer automorphisms :: reflexible selfdual
Graph:: simple bipartite
	v = 24 e = 72 f = 24
	degree seq :: [ 6^24 ]

E13.659 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 3, 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, Y3^2, Y3 * Y1^-1 * Y3 * Y2, R * Y2 * R * Y1, (R * Y3)^2, Y1^4, Y2^4, (Y1^-1 * Y2^-1)^2, (Y2 * Y1^-1)^3, Y2^-1 * Y1^-2 * Y2^-1 * Y3 * Y1^-1 * Y2^-1 ]
Map:: polytopal non-degenerate
	R = (1, 37, 4, 40)(2, 38, 9, 45)(3, 39, 13, 49)(5, 41, 16, 52)(6, 42, 15, 51)(7, 43, 20, 56)(8, 44, 23, 59)(10, 46, 25, 61)(11, 47, 28, 64)(12, 48, 31, 67)(14, 50, 33, 69)(17, 53, 35, 71)(18, 54, 34, 70)(19, 55, 32, 68)(21, 57, 30, 66)(22, 58, 29, 65)(24, 60, 27, 63)(26, 62, 36, 72)(73, 74, 79, 77)(75, 83, 99, 86)(76, 85, 103, 87)(78, 90, 96, 80)(81, 95, 101, 97)(82, 98, 106, 91)(84, 102, 92, 104)(88, 107, 94, 100)(89, 93, 105, 108)(109, 111, 120, 114)(110, 116, 130, 118)(112, 117, 128, 124)(113, 125, 137, 119)(115, 127, 139, 129)(121, 136, 132, 141)(122, 134, 143, 138)(123, 142, 135, 131)(126, 140, 133, 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 ) }
Outer automorphisms :: reflexible
Dual of E13.662
Graph:: simple bipartite
	v = 36 e = 72 f = 12
	degree seq :: [ 4^36 ]

E13.660 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 3, 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, Y3^3, (R * Y3)^2, Y2^4, R * Y1 * R * Y2, Y1^-3 * Y2^-1, (Y1 * Y3^-1 * Y1)^2, (Y1 * Y3 * Y1)^2, (Y3 * Y1^-1 * Y3^-1 * Y1^-1)^2, (Y3 * Y1^-1)^4 ]
Map:: polytopal 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, 88, 82)(77, 85, 87, 86)(79, 89, 84, 90)(80, 91, 83, 92)(93, 102, 96, 103)(94, 106, 95, 107)(97, 101, 100, 104)(98, 105, 99, 108)(109, 110, 114, 112)(111, 117, 124, 118)(113, 121, 123, 122)(115, 125, 120, 126)(116, 127, 119, 128)(129, 138, 132, 139)(130, 142, 131, 143)(133, 137, 136, 140)(134, 141, 135, 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) :: { ( 8^4 ), ( 8^6 ) }
Outer automorphisms :: reflexible
Dual of E13.661
Graph:: simple bipartite
	v = 30 e = 72 f = 18
	degree seq :: [ 4^18, 6^12 ]

E13.661 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 3, 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, Y3^2, Y3 * Y1^-1 * Y3 * Y2, R * Y2 * R * Y1, (R * Y3)^2, Y1^4, Y2^4, (Y1^-1 * Y2^-1)^2, (Y2 * Y1^-1)^3, Y2^-1 * Y1^-2 * Y2^-1 * Y3 * Y1^-1 * Y2^-1 ]
Map:: polytopal 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, 16, 52, 88, 124)(6, 42, 78, 114, 15, 51, 87, 123)(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, 28, 64, 100, 136)(12, 48, 84, 120, 31, 67, 103, 139)(14, 50, 86, 122, 33, 69, 105, 141)(17, 53, 89, 125, 35, 71, 107, 143)(18, 54, 90, 126, 34, 70, 106, 142)(19, 55, 91, 127, 32, 68, 104, 140)(21, 57, 93, 129, 30, 66, 102, 138)(22, 58, 94, 130, 29, 65, 101, 137)(24, 60, 96, 132, 27, 63, 99, 135)(26, 62, 98, 134, 36, 72, 108, 144)
	L = (1, 38)(2, 43)(3, 47)(4, 49)(5, 37)(6, 54)(7, 41)(8, 42)(9, 59)(10, 62)(11, 63)(12, 66)(13, 67)(14, 39)(15, 40)(16, 71)(17, 57)(18, 60)(19, 46)(20, 68)(21, 69)(22, 64)(23, 65)(24, 44)(25, 45)(26, 70)(27, 50)(28, 52)(29, 61)(30, 56)(31, 51)(32, 48)(33, 72)(34, 55)(35, 58)(36, 53)(73, 111)(74, 116)(75, 120)(76, 117)(77, 125)(78, 109)(79, 127)(80, 130)(81, 128)(82, 110)(83, 113)(84, 114)(85, 136)(86, 134)(87, 142)(88, 112)(89, 137)(90, 140)(91, 139)(92, 124)(93, 115)(94, 118)(95, 123)(96, 141)(97, 144)(98, 143)(99, 131)(100, 132)(101, 119)(102, 122)(103, 129)(104, 133)(105, 121)(106, 135)(107, 138)(108, 126)
	local type(s) :: { ( 4, 6, 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible
Dual of E13.660
Transitivity :: VT+
Graph:: bipartite
	v = 18 e = 72 f = 30
	degree seq :: [ 8^18 ]

E13.662 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 3, 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, Y3^3, (R * Y3)^2, Y2^4, R * Y1 * R * Y2, Y1^-3 * Y2^-1, (Y1 * Y3^-1 * Y1)^2, (Y1 * Y3 * Y1)^2, (Y3 * Y1^-1 * Y3^-1 * Y1^-1)^2, (Y3 * Y1^-1)^4 ]
Map:: polytopal 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, 52)(10, 39)(11, 56)(12, 54)(13, 51)(14, 41)(15, 50)(16, 46)(17, 48)(18, 43)(19, 47)(20, 44)(21, 66)(22, 70)(23, 71)(24, 67)(25, 65)(26, 69)(27, 72)(28, 68)(29, 64)(30, 60)(31, 57)(32, 61)(33, 63)(34, 59)(35, 58)(36, 62)(73, 110)(74, 114)(75, 117)(76, 109)(77, 121)(78, 112)(79, 125)(80, 127)(81, 124)(82, 111)(83, 128)(84, 126)(85, 123)(86, 113)(87, 122)(88, 118)(89, 120)(90, 115)(91, 119)(92, 116)(93, 138)(94, 142)(95, 143)(96, 139)(97, 137)(98, 141)(99, 144)(100, 140)(101, 136)(102, 132)(103, 129)(104, 133)(105, 135)(106, 131)(107, 130)(108, 134)
	local type(s) :: { ( 4^12 ) }
Outer automorphisms :: reflexible
Dual of E13.659
Transitivity :: VT+
Graph:: bipartite
	v = 12 e = 72 f = 36
	degree seq :: [ 12^12 ]

E13.663 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 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 :: [ Y1^2, R^2, Y2^3, Y3 * Y1 * Y3, (R * Y3)^2, (R * Y1)^2, (Y1 * Y2)^2, (R * Y2 * Y3^-1)^2, (Y3 * Y2^-1)^4, Y3 * Y2 * Y3 * Y2^-1 * Y3^-1 * Y2^-1 * Y3^-1 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 37, 2, 38)(3, 39, 8, 44)(4, 40, 6, 42)(5, 41, 7, 43)(9, 45, 10, 46)(11, 47, 16, 52)(12, 48, 15, 51)(13, 49, 14, 50)(17, 53, 20, 56)(18, 54, 19, 55)(21, 57, 22, 58)(23, 59, 24, 60)(25, 61, 28, 64)(26, 62, 27, 63)(29, 65, 30, 66)(31, 67, 32, 68)(33, 69, 34, 70)(35, 71, 36, 72)(73, 109, 75, 111, 77, 113)(74, 110, 79, 115, 80, 116)(76, 112, 83, 119, 84, 120)(78, 114, 87, 123, 88, 124)(81, 117, 89, 125, 90, 126)(82, 118, 91, 127, 92, 128)(85, 121, 97, 133, 98, 134)(86, 122, 99, 135, 100, 136)(93, 129, 105, 141, 101, 137)(94, 130, 102, 138, 106, 142)(95, 131, 107, 143, 103, 139)(96, 132, 104, 140, 108, 144)
	L = (1, 76)(2, 78)(3, 81)(4, 74)(5, 85)(6, 73)(7, 86)(8, 82)(9, 80)(10, 75)(11, 93)(12, 95)(13, 79)(14, 77)(15, 96)(16, 94)(17, 101)(18, 103)(19, 104)(20, 102)(21, 88)(22, 83)(23, 87)(24, 84)(25, 105)(26, 107)(27, 108)(28, 106)(29, 92)(30, 89)(31, 91)(32, 90)(33, 100)(34, 97)(35, 99)(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) :: { ( 8^4 ), ( 8^6 ) }
Outer automorphisms :: reflexible
Dual of E13.670
Graph:: simple bipartite
	v = 30 e = 72 f = 18
	degree seq :: [ 4^18, 6^12 ]

E13.664 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 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 :: [ R^2, Y3^2, Y2^2 * Y3, Y1^3, (Y1 * Y3)^2, (R * Y3)^2, (R * Y2)^2, (R * Y1)^2, Y2 * Y1 * Y2 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1, Y2 * Y1^-1 * Y2 * Y1^-1 * Y2^-1 * Y1 * Y2^-1 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 5, 41)(3, 39, 10, 46, 11, 47)(4, 40, 12, 48, 8, 44)(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, 33, 69, 29, 65)(22, 58, 30, 66, 34, 70)(23, 59, 35, 71, 31, 67)(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, 88, 124, 94, 130)(83, 119, 95, 131, 87, 123, 96, 132)(89, 125, 101, 137, 92, 128, 102, 138)(90, 126, 103, 139, 91, 127, 104, 140)(97, 133, 105, 141, 100, 136, 106, 142)(98, 134, 107, 143, 99, 135, 108, 144)
	L = (1, 76)(2, 80)(3, 78)(4, 73)(5, 84)(6, 75)(7, 81)(8, 74)(9, 79)(10, 88)(11, 87)(12, 77)(13, 86)(14, 85)(15, 83)(16, 82)(17, 92)(18, 91)(19, 90)(20, 89)(21, 94)(22, 93)(23, 96)(24, 95)(25, 100)(26, 99)(27, 98)(28, 97)(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) :: { ( 4, 8, 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E13.667
Graph:: bipartite
	v = 21 e = 72 f = 27
	degree seq :: [ 6^12, 8^9 ]

E13.665 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 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 :: [ R^2, Y3^2, Y1^3, Y3 * Y2^2 * Y1^-1, (Y3 * Y1)^2, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3)^2, Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y1 * Y2^-1 * Y1^-1, Y2 * Y1 * Y2^-1 * Y3 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1, Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 ]
Map:: polytopal non-degenerate
	R = (1, 37, 2, 38, 5, 41)(3, 39, 10, 46, 13, 49)(4, 40, 11, 47, 8, 44)(6, 42, 16, 52, 12, 48)(7, 43, 17, 53, 19, 55)(9, 45, 20, 56, 18, 54)(14, 50, 25, 61, 27, 63)(15, 51, 28, 64, 26, 62)(21, 57, 33, 69, 29, 65)(22, 58, 30, 66, 34, 70)(23, 59, 35, 71, 31, 67)(24, 60, 32, 68, 36, 72)(73, 109, 75, 111, 83, 119, 78, 114)(74, 110, 79, 115, 76, 112, 81, 117)(77, 113, 86, 122, 80, 116, 87, 123)(82, 118, 93, 129, 84, 120, 94, 130)(85, 121, 95, 131, 88, 124, 96, 132)(89, 125, 101, 137, 90, 126, 102, 138)(91, 127, 103, 139, 92, 128, 104, 140)(97, 133, 105, 141, 98, 134, 106, 142)(99, 135, 107, 143, 100, 136, 108, 144)
	L = (1, 76)(2, 80)(3, 84)(4, 73)(5, 83)(6, 85)(7, 90)(8, 74)(9, 91)(10, 88)(11, 77)(12, 75)(13, 78)(14, 98)(15, 99)(16, 82)(17, 92)(18, 79)(19, 81)(20, 89)(21, 106)(22, 101)(23, 108)(24, 103)(25, 100)(26, 86)(27, 87)(28, 97)(29, 94)(30, 105)(31, 96)(32, 107)(33, 102)(34, 93)(35, 104)(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 ) }
Outer automorphisms :: reflexible
Dual of E13.668
Graph:: bipartite
	v = 21 e = 72 f = 27
	degree seq :: [ 6^12, 8^9 ]

E13.666 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 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 :: [ R^2, Y3^2, Y1^3, (Y3 * Y1^-1)^2, Y2^4, (R * Y1)^2, (R * Y3)^2, Y2^2 * Y3 * Y1^-1, Y2^-1 * Y3 * Y1^-1 * Y2^-1, (R * Y2 * Y3)^2, (Y2^-1 * Y1 * Y2^-1 * Y1^-1)^2, Y3 * Y2 * Y3 * Y2^-1 * Y1 * Y2 * Y1^-1 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 5, 41)(3, 39, 10, 46, 12, 48)(4, 40, 13, 49, 8, 44)(6, 42, 11, 47, 16, 52)(7, 43, 17, 53, 19, 55)(9, 45, 18, 54, 20, 56)(14, 50, 25, 61, 27, 63)(15, 51, 26, 62, 28, 64)(21, 57, 33, 69, 29, 65)(22, 58, 30, 66, 34, 70)(23, 59, 31, 67, 36, 72)(24, 60, 35, 71, 32, 68)(73, 109, 75, 111, 80, 116, 78, 114)(74, 110, 79, 115, 85, 121, 81, 117)(76, 112, 86, 122, 77, 113, 87, 123)(82, 118, 93, 129, 88, 124, 94, 130)(83, 119, 95, 131, 84, 120, 96, 132)(89, 125, 101, 137, 92, 128, 102, 138)(90, 126, 103, 139, 91, 127, 104, 140)(97, 133, 108, 144, 100, 136, 107, 143)(98, 134, 105, 141, 99, 135, 106, 142)
	L = (1, 76)(2, 80)(3, 83)(4, 73)(5, 85)(6, 82)(7, 90)(8, 74)(9, 89)(10, 78)(11, 75)(12, 88)(13, 77)(14, 98)(15, 97)(16, 84)(17, 81)(18, 79)(19, 92)(20, 91)(21, 102)(22, 105)(23, 107)(24, 103)(25, 87)(26, 86)(27, 100)(28, 99)(29, 106)(30, 93)(31, 96)(32, 108)(33, 94)(34, 101)(35, 95)(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, 8, 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E13.669
Graph:: bipartite
	v = 21 e = 72 f = 27
	degree seq :: [ 6^12, 8^9 ]

E13.667 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 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 :: [ R^2, Y2^2, Y3^2, Y1^2 * Y3, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3)^2, (Y3 * Y2)^3, (Y2 * Y1)^4 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 4, 40, 5, 41)(3, 39, 7, 43, 8, 44, 9, 45)(6, 42, 12, 48, 13, 49, 14, 50)(10, 46, 18, 54, 16, 52, 19, 55)(11, 47, 20, 56, 21, 57, 22, 58)(15, 51, 25, 61, 26, 62, 27, 63)(17, 53, 28, 64, 29, 65, 23, 59)(24, 60, 33, 69, 34, 70, 30, 66)(31, 67, 35, 71, 36, 72, 32, 68)(73, 109, 75, 111)(74, 110, 78, 114)(76, 112, 82, 118)(77, 113, 83, 119)(79, 115, 87, 123)(80, 116, 88, 124)(81, 117, 89, 125)(84, 120, 95, 131)(85, 121, 93, 129)(86, 122, 96, 132)(90, 126, 102, 138)(91, 127, 103, 139)(92, 128, 104, 140)(94, 130, 97, 133)(98, 134, 101, 137)(99, 135, 107, 143)(100, 136, 106, 142)(105, 141, 108, 144)
	L = (1, 76)(2, 77)(3, 80)(4, 73)(5, 74)(6, 85)(7, 81)(8, 75)(9, 79)(10, 88)(11, 93)(12, 86)(13, 78)(14, 84)(15, 98)(16, 82)(17, 101)(18, 91)(19, 90)(20, 94)(21, 83)(22, 92)(23, 100)(24, 106)(25, 99)(26, 87)(27, 97)(28, 95)(29, 89)(30, 105)(31, 108)(32, 107)(33, 102)(34, 96)(35, 104)(36, 103)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 6, 8, 6, 8 ), ( 6, 8, 6, 8, 6, 8, 6, 8 ) }
Outer automorphisms :: reflexible
Dual of E13.664
Graph:: bipartite
	v = 27 e = 72 f = 21
	degree seq :: [ 4^18, 8^9 ]

E13.668 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 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 :: [ R^2, Y2^2, Y3^2, (R * Y1)^2, (R * Y3)^2, Y1^4, Y1 * Y3 * Y1 * Y2 * Y3, (R * Y2 * Y3)^2, Y1 * Y2 * Y1^-1 * Y2 * Y3 * Y2 ]
Map:: polytopal non-degenerate
	R = (1, 37, 2, 38, 6, 42, 5, 41)(3, 39, 9, 45, 23, 59, 11, 47)(4, 40, 12, 48, 28, 64, 14, 50)(7, 43, 19, 55, 25, 61, 20, 56)(8, 44, 13, 49, 24, 60, 22, 58)(10, 46, 16, 52, 32, 68, 26, 62)(15, 51, 30, 66, 36, 72, 31, 67)(17, 53, 33, 69, 35, 71, 29, 65)(18, 54, 21, 57, 34, 70, 27, 63)(73, 109, 75, 111)(74, 110, 79, 115)(76, 112, 85, 121)(77, 113, 87, 123)(78, 114, 89, 125)(80, 116, 93, 129)(81, 117, 96, 132)(82, 118, 92, 128)(83, 119, 99, 135)(84, 120, 88, 124)(86, 122, 101, 137)(90, 126, 104, 140)(91, 127, 106, 142)(94, 130, 103, 139)(95, 131, 107, 143)(97, 133, 108, 144)(98, 134, 105, 141)(100, 136, 102, 138)
	L = (1, 76)(2, 80)(3, 82)(4, 73)(5, 88)(6, 90)(7, 86)(8, 74)(9, 97)(10, 75)(11, 84)(12, 83)(13, 92)(14, 79)(15, 99)(16, 77)(17, 94)(18, 78)(19, 107)(20, 85)(21, 101)(22, 89)(23, 102)(24, 98)(25, 81)(26, 96)(27, 87)(28, 106)(29, 93)(30, 95)(31, 104)(32, 103)(33, 108)(34, 100)(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 ) }
Outer automorphisms :: reflexible
Dual of E13.665
Graph:: simple bipartite
	v = 27 e = 72 f = 21
	degree seq :: [ 4^18, 8^9 ]

E13.669 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 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 :: [ R^2, Y2^2, Y3^2, (R * Y3)^2, (R * Y1)^2, Y1^4, Y1^-1 * Y2 * Y3 * Y1^-1 * Y3, (R * Y2 * Y3)^2, Y1 * Y2 * Y3 * Y2 * Y1^-1 * Y2 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 6, 42, 5, 41)(3, 39, 9, 45, 23, 59, 11, 47)(4, 40, 12, 48, 28, 64, 14, 50)(7, 43, 19, 55, 34, 70, 21, 57)(8, 44, 10, 46, 24, 60, 22, 58)(13, 49, 16, 52, 31, 67, 26, 62)(15, 51, 25, 61, 27, 63, 30, 66)(17, 53, 29, 65, 36, 72, 33, 69)(18, 54, 20, 56, 35, 71, 32, 68)(73, 109, 75, 111)(74, 110, 79, 115)(76, 112, 85, 121)(77, 113, 87, 123)(78, 114, 89, 125)(80, 116, 86, 122)(81, 117, 92, 128)(82, 118, 97, 133)(83, 119, 98, 134)(84, 120, 101, 137)(88, 124, 104, 140)(90, 126, 94, 130)(91, 127, 103, 139)(93, 129, 100, 136)(95, 131, 108, 144)(96, 132, 105, 141)(99, 135, 106, 142)(102, 138, 107, 143)
	L = (1, 76)(2, 80)(3, 82)(4, 73)(5, 88)(6, 90)(7, 92)(8, 74)(9, 86)(10, 75)(11, 99)(12, 87)(13, 97)(14, 81)(15, 84)(16, 77)(17, 103)(18, 78)(19, 94)(20, 79)(21, 95)(22, 91)(23, 93)(24, 98)(25, 85)(26, 96)(27, 83)(28, 107)(29, 104)(30, 108)(31, 89)(32, 101)(33, 106)(34, 105)(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, 8, 6, 8 ), ( 6, 8, 6, 8, 6, 8, 6, 8 ) }
Outer automorphisms :: reflexible
Dual of E13.666
Graph:: simple bipartite
	v = 27 e = 72 f = 21
	degree seq :: [ 4^18, 8^9 ]

E13.670 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 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 :: [ R^2, Y2 * Y3, (Y3^-1 * Y2)^2, Y3^2 * Y2^-2, (R * Y3)^2, (R * Y1)^2, Y1^4, Y1^-1 * Y3 * Y1^-1 * Y2^-1, Y1 * Y2 * Y1^-3 * Y2, Y2 * Y1^-1 * Y2 * Y1^-1 * Y3^-1 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 6, 42, 5, 41)(3, 39, 9, 45, 19, 55, 11, 47)(4, 40, 12, 48, 17, 53, 7, 43)(8, 44, 18, 54, 25, 61, 14, 50)(10, 46, 21, 57, 31, 67, 22, 58)(13, 49, 15, 51, 26, 62, 23, 59)(16, 52, 27, 63, 34, 70, 28, 64)(20, 56, 30, 66, 35, 71, 29, 65)(24, 60, 32, 68, 36, 72, 33, 69)(73, 109, 75, 111, 82, 118, 76, 112)(74, 110, 79, 115, 88, 124, 80, 116)(77, 113, 85, 121, 92, 128, 81, 117)(78, 114, 86, 122, 96, 132, 87, 123)(83, 119, 90, 126, 100, 136, 93, 129)(84, 120, 94, 130, 102, 138, 95, 131)(89, 125, 98, 134, 105, 141, 99, 135)(91, 127, 101, 137, 104, 140, 97, 133)(103, 139, 106, 142, 108, 144, 107, 143)
	L = (1, 76)(2, 80)(3, 73)(4, 82)(5, 81)(6, 87)(7, 74)(8, 88)(9, 92)(10, 75)(11, 93)(12, 95)(13, 77)(14, 78)(15, 96)(16, 79)(17, 99)(18, 83)(19, 97)(20, 85)(21, 100)(22, 84)(23, 102)(24, 86)(25, 104)(26, 89)(27, 105)(28, 90)(29, 91)(30, 94)(31, 107)(32, 101)(33, 98)(34, 103)(35, 108)(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, 6, 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible
Dual of E13.663
Graph:: bipartite
	v = 18 e = 72 f = 30
	degree seq :: [ 8^18 ]

E13.671 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 3, 3, 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, (Y2^-1, Y1^-1), Y1 * Y3^-2 * Y2, Y1^-1 * Y3^2 * Y2^-1, (R * Y3)^2, R * Y2 * R * Y1, Y2 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3^-1, Y1^-1 * Y3^-4 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 37, 4, 40, 8, 44, 24, 60, 19, 55, 7, 43)(2, 38, 9, 45, 13, 49, 21, 57, 6, 42, 11, 47)(3, 39, 12, 48, 10, 46, 20, 56, 5, 41, 14, 50)(15, 51, 32, 68, 23, 59, 35, 71, 18, 54, 33, 69)(16, 52, 25, 61, 22, 58, 30, 66, 17, 53, 28, 64)(26, 62, 34, 70, 29, 65, 31, 67, 27, 63, 36, 72)(73, 74, 77)(75, 80, 85)(76, 87, 89)(78, 82, 91)(79, 90, 94)(81, 97, 99)(83, 100, 101)(84, 103, 105)(86, 106, 107)(88, 96, 95)(92, 108, 104)(93, 102, 98)(109, 111, 114)(110, 116, 118)(112, 124, 126)(113, 121, 127)(115, 125, 131)(117, 134, 136)(119, 135, 138)(120, 140, 142)(122, 141, 144)(123, 132, 130)(128, 143, 139)(129, 137, 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) :: { ( 8^3 ), ( 8^12 ) }
Outer automorphisms :: reflexible
Dual of E13.674
Graph:: simple bipartite
	v = 30 e = 72 f = 18
	degree seq :: [ 3^24, 12^6 ]

E13.672 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 3, 3, 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, Y3^2, Y2^3, Y1^3, (Y1^-1, Y2^-1), (R * Y3)^2, R * Y1 * R * Y2, (Y3 * Y1^-1)^3, Y2^-1 * Y3 * Y2 * Y1 * Y3 * Y1^-1, (Y3 * Y2^-1)^3, Y1 * Y2 * Y3 * Y2 * Y1^-1 * Y2 * Y3 ]
Map:: non-degenerate
	R = (1, 37, 4, 40)(2, 38, 8, 44)(3, 39, 10, 46)(5, 41, 16, 52)(6, 42, 18, 54)(7, 43, 19, 55)(9, 45, 24, 60)(11, 47, 29, 65)(12, 48, 30, 66)(13, 49, 32, 68)(14, 50, 20, 56)(15, 51, 26, 62)(17, 53, 34, 70)(21, 57, 25, 61)(22, 58, 28, 64)(23, 59, 31, 67)(27, 63, 33, 69)(35, 71, 36, 72)(73, 74, 77)(75, 79, 83)(76, 84, 86)(78, 81, 89)(80, 92, 94)(82, 97, 99)(85, 91, 105)(87, 103, 106)(88, 100, 102)(90, 95, 108)(93, 101, 104)(96, 107, 98)(109, 111, 114)(110, 115, 117)(112, 121, 123)(113, 119, 125)(116, 129, 131)(118, 134, 136)(120, 127, 139)(122, 141, 142)(124, 135, 143)(126, 130, 140)(128, 137, 144)(132, 138, 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) :: { ( 24^3 ), ( 24^4 ) }
Outer automorphisms :: reflexible
Dual of E13.673
Graph:: simple bipartite
	v = 42 e = 72 f = 6
	degree seq :: [ 3^24, 4^18 ]

E13.673 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 3, 3, 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, (Y2^-1, Y1^-1), Y1 * Y3^-2 * Y2, Y1^-1 * Y3^2 * Y2^-1, (R * Y3)^2, R * Y2 * R * Y1, Y2 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3^-1, Y1^-1 * Y3^-4 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 37, 73, 109, 4, 40, 76, 112, 8, 44, 80, 116, 24, 60, 96, 132, 19, 55, 91, 127, 7, 43, 79, 115)(2, 38, 74, 110, 9, 45, 81, 117, 13, 49, 85, 121, 21, 57, 93, 129, 6, 42, 78, 114, 11, 47, 83, 119)(3, 39, 75, 111, 12, 48, 84, 120, 10, 46, 82, 118, 20, 56, 92, 128, 5, 41, 77, 113, 14, 50, 86, 122)(15, 51, 87, 123, 32, 68, 104, 140, 23, 59, 95, 131, 35, 71, 107, 143, 18, 54, 90, 126, 33, 69, 105, 141)(16, 52, 88, 124, 25, 61, 97, 133, 22, 58, 94, 130, 30, 66, 102, 138, 17, 53, 89, 125, 28, 64, 100, 136)(26, 62, 98, 134, 34, 70, 106, 142, 29, 65, 101, 137, 31, 67, 103, 139, 27, 63, 99, 135, 36, 72, 108, 144)
	L = (1, 38)(2, 41)(3, 44)(4, 51)(5, 37)(6, 46)(7, 54)(8, 49)(9, 61)(10, 55)(11, 64)(12, 67)(13, 39)(14, 70)(15, 53)(16, 60)(17, 40)(18, 58)(19, 42)(20, 72)(21, 66)(22, 43)(23, 52)(24, 59)(25, 63)(26, 57)(27, 45)(28, 65)(29, 47)(30, 62)(31, 69)(32, 56)(33, 48)(34, 71)(35, 50)(36, 68)(73, 111)(74, 116)(75, 114)(76, 124)(77, 121)(78, 109)(79, 125)(80, 118)(81, 134)(82, 110)(83, 135)(84, 140)(85, 127)(86, 141)(87, 132)(88, 126)(89, 131)(90, 112)(91, 113)(92, 143)(93, 137)(94, 123)(95, 115)(96, 130)(97, 129)(98, 136)(99, 138)(100, 117)(101, 133)(102, 119)(103, 128)(104, 142)(105, 144)(106, 120)(107, 139)(108, 122)
	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 E13.672
Transitivity :: VT+
Graph::
	v = 6 e = 72 f = 42
	degree seq :: [ 24^6 ]

E13.674 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 3, 3, 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, Y3^2, Y2^3, Y1^3, (Y1^-1, Y2^-1), (R * Y3)^2, R * Y1 * R * Y2, (Y3 * Y1^-1)^3, Y2^-1 * Y3 * Y2 * Y1 * Y3 * Y1^-1, (Y3 * Y2^-1)^3, Y1 * Y2 * Y3 * Y2 * Y1^-1 * Y2 * Y3 ]
Map:: non-degenerate
	R = (1, 37, 73, 109, 4, 40, 76, 112)(2, 38, 74, 110, 8, 44, 80, 116)(3, 39, 75, 111, 10, 46, 82, 118)(5, 41, 77, 113, 16, 52, 88, 124)(6, 42, 78, 114, 18, 54, 90, 126)(7, 43, 79, 115, 19, 55, 91, 127)(9, 45, 81, 117, 24, 60, 96, 132)(11, 47, 83, 119, 29, 65, 101, 137)(12, 48, 84, 120, 30, 66, 102, 138)(13, 49, 85, 121, 32, 68, 104, 140)(14, 50, 86, 122, 20, 56, 92, 128)(15, 51, 87, 123, 26, 62, 98, 134)(17, 53, 89, 125, 34, 70, 106, 142)(21, 57, 93, 129, 25, 61, 97, 133)(22, 58, 94, 130, 28, 64, 100, 136)(23, 59, 95, 131, 31, 67, 103, 139)(27, 63, 99, 135, 33, 69, 105, 141)(35, 71, 107, 143, 36, 72, 108, 144)
	L = (1, 38)(2, 41)(3, 43)(4, 48)(5, 37)(6, 45)(7, 47)(8, 56)(9, 53)(10, 61)(11, 39)(12, 50)(13, 55)(14, 40)(15, 67)(16, 64)(17, 42)(18, 59)(19, 69)(20, 58)(21, 65)(22, 44)(23, 72)(24, 71)(25, 63)(26, 60)(27, 46)(28, 66)(29, 68)(30, 52)(31, 70)(32, 57)(33, 49)(34, 51)(35, 62)(36, 54)(73, 111)(74, 115)(75, 114)(76, 121)(77, 119)(78, 109)(79, 117)(80, 129)(81, 110)(82, 134)(83, 125)(84, 127)(85, 123)(86, 141)(87, 112)(88, 135)(89, 113)(90, 130)(91, 139)(92, 137)(93, 131)(94, 140)(95, 116)(96, 138)(97, 132)(98, 136)(99, 143)(100, 118)(101, 144)(102, 133)(103, 120)(104, 126)(105, 142)(106, 122)(107, 124)(108, 128)
	local type(s) :: { ( 3, 12, 3, 12, 3, 12, 3, 12 ) }
Outer automorphisms :: reflexible
Dual of E13.671
Transitivity :: VT+
Graph:: simple
	v = 18 e = 72 f = 30
	degree seq :: [ 8^18 ]

E13.675 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 3, 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 :: [ Y1^2, R^2, Y2^3, Y3^3, (Y3, Y2), (R * Y1)^2, (R * Y3)^2, (R * Y2)^2, Y3 * Y1 * Y3^-1 * Y1, (Y1 * Y2^-1)^3 ]
Map:: non-degenerate
	R = (1, 37, 2, 38)(3, 39, 11, 47)(4, 40, 8, 44)(5, 41, 15, 51)(6, 42, 10, 46)(7, 43, 17, 53)(9, 45, 21, 57)(12, 48, 23, 59)(13, 49, 25, 61)(14, 50, 26, 62)(16, 52, 28, 64)(18, 54, 29, 65)(19, 55, 30, 66)(20, 56, 31, 67)(22, 58, 32, 68)(24, 60, 27, 63)(33, 69, 35, 71)(34, 70, 36, 72)(73, 109, 75, 111, 77, 113)(74, 110, 79, 115, 81, 117)(76, 112, 84, 120, 86, 122)(78, 114, 85, 121, 88, 124)(80, 116, 90, 126, 92, 128)(82, 118, 91, 127, 94, 130)(83, 119, 93, 129, 96, 132)(87, 123, 99, 135, 89, 125)(95, 131, 103, 139, 105, 141)(97, 133, 104, 140, 106, 142)(98, 134, 107, 143, 101, 137)(100, 136, 108, 144, 102, 138)
	L = (1, 76)(2, 80)(3, 84)(4, 78)(5, 86)(6, 73)(7, 90)(8, 82)(9, 92)(10, 74)(11, 95)(12, 85)(13, 75)(14, 88)(15, 98)(16, 77)(17, 101)(18, 91)(19, 79)(20, 94)(21, 103)(22, 81)(23, 97)(24, 105)(25, 83)(26, 100)(27, 107)(28, 87)(29, 102)(30, 89)(31, 104)(32, 93)(33, 106)(34, 96)(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, 12, 6, 12 ), ( 6, 12, 6, 12, 6, 12 ) }
Outer automorphisms :: reflexible
Dual of E13.676
Graph:: simple bipartite
	v = 30 e = 72 f = 18
	degree seq :: [ 4^18, 6^12 ]

E13.676 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 3, 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, Y3^3, Y1^3, Y2 * Y3 * Y2, (Y1, Y3), (Y3 * Y2^-1)^2, (R * Y2)^2, (R * Y1)^2, (R * Y3)^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, 13, 49)(4, 40, 9, 45, 15, 51)(6, 42, 19, 55, 20, 56)(7, 43, 11, 47, 18, 54)(8, 44, 21, 57, 22, 58)(10, 46, 24, 60, 25, 61)(14, 50, 28, 64, 30, 66)(16, 52, 32, 68, 33, 69)(17, 53, 34, 70, 26, 62)(23, 59, 29, 65, 36, 72)(27, 63, 31, 67, 35, 71)(73, 109, 75, 111, 79, 115, 86, 122, 76, 112, 78, 114)(74, 110, 80, 116, 83, 119, 95, 131, 81, 117, 82, 118)(77, 113, 88, 124, 90, 126, 103, 139, 87, 123, 89, 125)(84, 120, 98, 134, 100, 136, 105, 141, 91, 127, 99, 135)(85, 121, 96, 132, 102, 138, 93, 129, 92, 128, 101, 137)(94, 130, 106, 142, 108, 144, 104, 140, 97, 133, 107, 143)
	L = (1, 76)(2, 81)(3, 78)(4, 79)(5, 87)(6, 86)(7, 73)(8, 82)(9, 83)(10, 95)(11, 74)(12, 91)(13, 92)(14, 75)(15, 90)(16, 89)(17, 103)(18, 77)(19, 100)(20, 102)(21, 96)(22, 97)(23, 80)(24, 101)(25, 108)(26, 99)(27, 105)(28, 84)(29, 93)(30, 85)(31, 88)(32, 106)(33, 98)(34, 107)(35, 104)(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) :: { ( 4, 6, 4, 6, 4, 6 ), ( 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible
Dual of E13.675
Graph:: bipartite
	v = 18 e = 72 f = 30
	degree seq :: [ 6^12, 12^6 ]

E13.677 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 6, 6})
Quotient :: halfedge^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, Y2^2, Y3^2, Y3 * Y2, R * Y3 * R * Y2, (R * Y1)^2, Y1^6, (Y2 * Y1^-3)^2, Y2 * Y1 * Y2 * Y1 * Y2 * Y1^-1 * Y2 * Y1^-1 ]
Map::
	R = (1, 38, 2, 41, 5, 47, 11, 46, 10, 40, 4, 37)(3, 43, 7, 51, 15, 58, 22, 54, 18, 44, 8, 39)(6, 49, 13, 61, 25, 57, 21, 64, 28, 50, 14, 42)(9, 55, 19, 60, 24, 48, 12, 59, 23, 56, 20, 45)(16, 62, 26, 69, 33, 68, 32, 72, 36, 66, 30, 52)(17, 63, 27, 70, 34, 65, 29, 71, 35, 67, 31, 53)
	L = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 17)(10, 21)(11, 22)(13, 26)(14, 27)(15, 29)(18, 32)(19, 30)(20, 31)(23, 33)(24, 34)(25, 35)(28, 36)(37, 39)(38, 42)(40, 45)(41, 48)(43, 52)(44, 53)(46, 57)(47, 58)(49, 62)(50, 63)(51, 65)(54, 68)(55, 66)(56, 67)(59, 69)(60, 70)(61, 71)(64, 72)
	local type(s) :: { ( 12^12 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+ AT
Graph:: bipartite
	v = 6 e = 36 f = 6
	degree seq :: [ 12^6 ]

E13.678 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 6, 6})
Quotient :: halfedge^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, Y2^2, Y3^2, Y3 * Y2, (R * Y1)^2, R * Y3 * R * Y2, Y1 * Y2 * Y1^-2 * Y2 * Y1, Y1^6, Y2 * Y1^-1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1 ]
Map::
	R = (1, 38, 2, 41, 5, 47, 11, 46, 10, 40, 4, 37)(3, 43, 7, 48, 12, 56, 20, 53, 17, 44, 8, 39)(6, 49, 13, 55, 19, 54, 18, 45, 9, 50, 14, 42)(15, 59, 23, 63, 27, 61, 25, 52, 16, 60, 24, 51)(21, 64, 28, 62, 26, 66, 30, 58, 22, 65, 29, 57)(31, 70, 34, 69, 33, 72, 36, 68, 32, 71, 35, 67)
	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, 39)(38, 42)(40, 45)(41, 48)(43, 51)(44, 52)(46, 53)(47, 55)(49, 57)(50, 58)(54, 62)(56, 63)(59, 67)(60, 68)(61, 69)(64, 70)(65, 71)(66, 72)
	local type(s) :: { ( 12^12 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+ AT
Graph:: bipartite
	v = 6 e = 36 f = 6
	degree seq :: [ 12^6 ]

E13.679 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 6, 6})
Quotient :: halfedge^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, Y2^2, Y3^2, Y3 * Y2, (R * Y1)^2, R * Y3 * R * Y2, (Y1 * Y2 * Y1)^2, Y1^6, (Y2 * Y1^-1)^6, (Y2 * Y1 * Y2 * Y1^-1)^3 ]
Map::
	R = (1, 38, 2, 41, 5, 47, 11, 46, 10, 40, 4, 37)(3, 43, 7, 51, 15, 56, 20, 48, 12, 44, 8, 39)(6, 49, 13, 45, 9, 54, 18, 55, 19, 50, 14, 42)(16, 59, 23, 53, 17, 61, 25, 63, 27, 60, 24, 52)(21, 64, 28, 58, 22, 66, 30, 62, 26, 65, 29, 57)(31, 71, 35, 68, 32, 72, 36, 69, 33, 70, 34, 67)
	L = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 17)(10, 15)(11, 19)(13, 21)(14, 22)(18, 26)(20, 27)(23, 31)(24, 32)(25, 33)(28, 34)(29, 35)(30, 36)(37, 39)(38, 42)(40, 45)(41, 48)(43, 52)(44, 53)(46, 51)(47, 55)(49, 57)(50, 58)(54, 62)(56, 63)(59, 67)(60, 68)(61, 69)(64, 70)(65, 71)(66, 72)
	local type(s) :: { ( 12^12 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+ AT
Graph:: bipartite
	v = 6 e = 36 f = 6
	degree seq :: [ 12^6 ]

E13.680 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 6, 6})
Quotient :: halfedge^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, Y2^2, Y3^2, Y1^2 * Y3 * Y2, (R * Y1)^2, R * Y3 * R * Y2, Y1 * Y2 * Y3 * Y2 * Y3 * Y1, Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1 * Y3 * Y1 * Y2 * Y1^-1 * Y2 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 38, 2, 42, 6, 50, 14, 48, 12, 41, 5, 37)(3, 45, 9, 40, 4, 47, 11, 51, 15, 46, 10, 39)(7, 52, 16, 44, 8, 54, 18, 49, 13, 53, 17, 43)(19, 61, 25, 56, 20, 63, 27, 57, 21, 62, 26, 55)(22, 64, 28, 59, 23, 66, 30, 60, 24, 65, 29, 58)(31, 71, 35, 68, 32, 72, 36, 69, 33, 70, 34, 67)
	L = (1, 3)(2, 7)(4, 12)(5, 8)(6, 15)(9, 19)(10, 20)(11, 21)(13, 14)(16, 22)(17, 23)(18, 24)(25, 31)(26, 32)(27, 33)(28, 34)(29, 35)(30, 36)(37, 40)(38, 44)(39, 42)(41, 49)(43, 50)(45, 56)(46, 57)(47, 55)(48, 51)(52, 59)(53, 60)(54, 58)(61, 68)(62, 69)(63, 67)(64, 71)(65, 72)(66, 70)
	local type(s) :: { ( 12^12 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+ AT
Graph:: bipartite
	v = 6 e = 36 f = 6
	degree seq :: [ 12^6 ]

E13.681 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 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 :: [ Y1^2, Y2^2, R^2, Y2 * Y1, R * Y2 * R * Y1, (R * Y3)^2, Y3^6, (Y3^-1 * Y1 * Y3^-2)^2, Y3 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3 * Y1 ]
Map::
	R = (1, 37, 3, 39, 8, 44, 18, 54, 10, 46, 4, 40)(2, 38, 5, 41, 12, 48, 25, 61, 14, 50, 6, 42)(7, 43, 15, 51, 29, 65, 21, 57, 30, 66, 16, 52)(9, 45, 19, 55, 32, 68, 17, 53, 31, 67, 20, 56)(11, 47, 22, 58, 33, 69, 28, 64, 34, 70, 23, 59)(13, 49, 26, 62, 36, 72, 24, 60, 35, 71, 27, 63)(73, 74)(75, 79)(76, 81)(77, 83)(78, 85)(80, 89)(82, 93)(84, 96)(86, 100)(87, 94)(88, 98)(90, 97)(91, 95)(92, 99)(101, 107)(102, 106)(103, 105)(104, 108)(109, 110)(111, 115)(112, 117)(113, 119)(114, 121)(116, 125)(118, 129)(120, 132)(122, 136)(123, 130)(124, 134)(126, 133)(127, 131)(128, 135)(137, 143)(138, 142)(139, 141)(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) :: { ( 24, 24 ), ( 24^12 ) }
Outer automorphisms :: reflexible
Dual of E13.687
Graph:: simple bipartite
	v = 42 e = 72 f = 6
	degree seq :: [ 2^36, 12^6 ]

E13.682 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 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 :: [ Y1^2, Y2^2, R^2, Y2 * Y1, (R * Y3)^2, R * Y1 * R * Y2, Y3^6, Y3^-1 * Y1 * Y3^2 * Y1 * Y3^-1, Y3^-1 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3 * Y1 ]
Map::
	R = (1, 37, 3, 39, 8, 44, 17, 53, 10, 46, 4, 40)(2, 38, 5, 41, 12, 48, 21, 57, 14, 50, 6, 42)(7, 43, 15, 51, 24, 60, 18, 54, 9, 45, 16, 52)(11, 47, 19, 55, 28, 64, 22, 58, 13, 49, 20, 56)(23, 59, 31, 67, 26, 62, 33, 69, 25, 61, 32, 68)(27, 63, 34, 70, 30, 66, 36, 72, 29, 65, 35, 71)(73, 74)(75, 79)(76, 81)(77, 83)(78, 85)(80, 84)(82, 86)(87, 95)(88, 97)(89, 96)(90, 98)(91, 99)(92, 101)(93, 100)(94, 102)(103, 106)(104, 107)(105, 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, 142)(140, 143)(141, 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, 24 ), ( 24^12 ) }
Outer automorphisms :: reflexible
Dual of E13.688
Graph:: simple bipartite
	v = 42 e = 72 f = 6
	degree seq :: [ 2^36, 12^6 ]

E13.683 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 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 :: [ Y1^2, Y2^2, R^2, Y2 * Y1, R * Y1 * R * Y2, (R * Y3)^2, (Y3^-1 * Y1 * Y3^-1)^2, Y3^6, (Y3^-1 * Y1)^6, (Y3 * Y1 * Y3^-1 * Y1)^3 ]
Map::
	R = (1, 37, 3, 39, 8, 44, 17, 53, 10, 46, 4, 40)(2, 38, 5, 41, 12, 48, 21, 57, 14, 50, 6, 42)(7, 43, 15, 51, 9, 45, 18, 54, 25, 61, 16, 52)(11, 47, 19, 55, 13, 49, 22, 58, 29, 65, 20, 56)(23, 59, 31, 67, 24, 60, 33, 69, 26, 62, 32, 68)(27, 63, 34, 70, 28, 64, 36, 72, 30, 66, 35, 71)(73, 74)(75, 79)(76, 81)(77, 83)(78, 85)(80, 86)(82, 84)(87, 95)(88, 96)(89, 97)(90, 98)(91, 99)(92, 100)(93, 101)(94, 102)(103, 107)(104, 106)(105, 108)(109, 110)(111, 115)(112, 117)(113, 119)(114, 121)(116, 122)(118, 120)(123, 131)(124, 132)(125, 133)(126, 134)(127, 135)(128, 136)(129, 137)(130, 138)(139, 143)(140, 142)(141, 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, 24 ), ( 24^12 ) }
Outer automorphisms :: reflexible
Dual of E13.689
Graph:: simple bipartite
	v = 42 e = 72 f = 6
	degree seq :: [ 2^36, 12^6 ]

E13.684 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 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 :: [ Y1^2, Y2^2, R^2, Y1 * Y2 * Y3^2, (R * Y3)^2, R * Y2 * R * Y1, Y1 * Y3^4 * Y2, (Y2 * Y1)^3, Y3^-1 * Y2 * Y3^-1 * Y2 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 ]
Map::
	R = (1, 37, 4, 40, 9, 45, 15, 51, 6, 42, 5, 41)(2, 38, 7, 43, 14, 50, 10, 46, 3, 39, 8, 44)(11, 47, 19, 55, 13, 49, 21, 57, 12, 48, 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)(75, 81)(76, 83)(77, 85)(78, 86)(79, 88)(80, 90)(82, 89)(84, 87)(91, 97)(92, 99)(93, 98)(94, 100)(95, 102)(96, 101)(103, 107)(104, 106)(105, 108)(109, 111)(110, 114)(112, 120)(113, 119)(115, 125)(116, 124)(117, 122)(118, 126)(121, 123)(127, 134)(128, 133)(129, 135)(130, 137)(131, 136)(132, 138)(139, 144)(140, 143)(141, 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, 24 ), ( 24^12 ) }
Outer automorphisms :: reflexible
Dual of E13.690
Graph:: simple bipartite
	v = 42 e = 72 f = 6
	degree seq :: [ 2^36, 12^6 ]

E13.685 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 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, Y2 * Y1, (R * Y3)^2, R * Y1 * R * Y2, Y1 * Y3 * Y2^-1 * Y1 * Y3 * Y1, Y1^6, Y2^6, Y3 * Y2 * Y3 * Y2 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1, Y3 * Y1 * Y3 * Y2 * Y3 * Y1 * Y3 * Y1^-1 * Y3 * Y2^-1 * Y3 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 37, 4, 40)(2, 38, 6, 42)(3, 39, 8, 44)(5, 41, 12, 48)(7, 43, 15, 51)(9, 45, 17, 53)(10, 46, 18, 54)(11, 47, 19, 55)(13, 49, 21, 57)(14, 50, 22, 58)(16, 52, 23, 59)(20, 56, 27, 63)(24, 60, 31, 67)(25, 61, 32, 68)(26, 62, 33, 69)(28, 64, 34, 70)(29, 65, 35, 71)(30, 66, 36, 72)(73, 74, 77, 83, 79, 75)(76, 81, 87, 92, 84, 82)(78, 85, 80, 88, 91, 86)(89, 96, 90, 98, 99, 97)(93, 100, 94, 102, 95, 101)(103, 107, 104, 108, 105, 106)(109, 111, 115, 119, 113, 110)(112, 118, 120, 128, 123, 117)(114, 122, 127, 124, 116, 121)(125, 133, 135, 134, 126, 132)(129, 137, 131, 138, 130, 136)(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) :: { ( 8^4 ), ( 8^6 ) }
Outer automorphisms :: reflexible
Dual of E13.691
Graph:: simple bipartite
	v = 30 e = 72 f = 18
	degree seq :: [ 4^18, 6^12 ]

E13.686 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 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, Y2^2 * Y1^2, Y3 * Y1^-1 * Y3 * Y2, (R * Y3)^2, R * Y1 * R * Y2, Y1^-2 * Y2^4, (Y3 * Y2^-2)^2, (Y2^-1 * Y1^-1)^3, (Y2 * Y1^-1)^3 ]
Map:: polytopal non-degenerate
	R = (1, 37, 4, 40)(2, 38, 9, 45)(3, 39, 13, 49)(5, 41, 16, 52)(6, 42, 15, 51)(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, 31, 67)(18, 54, 30, 66)(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, 85, 100, 105, 92, 87)(80, 94, 82, 98, 89, 96)(81, 95, 88, 103, 104, 97)(99, 107, 101, 108, 102, 106)(109, 111, 120, 129, 115, 114)(110, 116, 113, 125, 127, 118)(112, 117, 128, 140, 136, 124)(119, 132, 122, 134, 126, 130)(121, 135, 123, 138, 141, 137)(131, 142, 133, 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) :: { ( 8^4 ), ( 8^6 ) }
Outer automorphisms :: reflexible
Dual of E13.692
Graph:: simple bipartite
	v = 30 e = 72 f = 18
	degree seq :: [ 4^18, 6^12 ]

E13.687 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 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 :: [ Y1^2, Y2^2, R^2, Y2 * Y1, R * Y2 * R * Y1, (R * Y3)^2, Y3^6, (Y3^-1 * Y1 * Y3^-2)^2, Y3 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3 * Y1 ]
Map::
	R = (1, 37, 73, 109, 3, 39, 75, 111, 8, 44, 80, 116, 18, 54, 90, 126, 10, 46, 82, 118, 4, 40, 76, 112)(2, 38, 74, 110, 5, 41, 77, 113, 12, 48, 84, 120, 25, 61, 97, 133, 14, 50, 86, 122, 6, 42, 78, 114)(7, 43, 79, 115, 15, 51, 87, 123, 29, 65, 101, 137, 21, 57, 93, 129, 30, 66, 102, 138, 16, 52, 88, 124)(9, 45, 81, 117, 19, 55, 91, 127, 32, 68, 104, 140, 17, 53, 89, 125, 31, 67, 103, 139, 20, 56, 92, 128)(11, 47, 83, 119, 22, 58, 94, 130, 33, 69, 105, 141, 28, 64, 100, 136, 34, 70, 106, 142, 23, 59, 95, 131)(13, 49, 85, 121, 26, 62, 98, 134, 36, 72, 108, 144, 24, 60, 96, 132, 35, 71, 107, 143, 27, 63, 99, 135)
	L = (1, 38)(2, 37)(3, 43)(4, 45)(5, 47)(6, 49)(7, 39)(8, 53)(9, 40)(10, 57)(11, 41)(12, 60)(13, 42)(14, 64)(15, 58)(16, 62)(17, 44)(18, 61)(19, 59)(20, 63)(21, 46)(22, 51)(23, 55)(24, 48)(25, 54)(26, 52)(27, 56)(28, 50)(29, 71)(30, 70)(31, 69)(32, 72)(33, 67)(34, 66)(35, 65)(36, 68)(73, 110)(74, 109)(75, 115)(76, 117)(77, 119)(78, 121)(79, 111)(80, 125)(81, 112)(82, 129)(83, 113)(84, 132)(85, 114)(86, 136)(87, 130)(88, 134)(89, 116)(90, 133)(91, 131)(92, 135)(93, 118)(94, 123)(95, 127)(96, 120)(97, 126)(98, 124)(99, 128)(100, 122)(101, 143)(102, 142)(103, 141)(104, 144)(105, 139)(106, 138)(107, 137)(108, 140)
	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 E13.681
Transitivity :: VT+
Graph:: bipartite
	v = 6 e = 72 f = 42
	degree seq :: [ 24^6 ]

E13.688 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 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 :: [ Y1^2, Y2^2, R^2, Y2 * Y1, (R * Y3)^2, R * Y1 * R * Y2, Y3^6, Y3^-1 * Y1 * Y3^2 * Y1 * Y3^-1, Y3^-1 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3 * Y1 ]
Map::
	R = (1, 37, 73, 109, 3, 39, 75, 111, 8, 44, 80, 116, 17, 53, 89, 125, 10, 46, 82, 118, 4, 40, 76, 112)(2, 38, 74, 110, 5, 41, 77, 113, 12, 48, 84, 120, 21, 57, 93, 129, 14, 50, 86, 122, 6, 42, 78, 114)(7, 43, 79, 115, 15, 51, 87, 123, 24, 60, 96, 132, 18, 54, 90, 126, 9, 45, 81, 117, 16, 52, 88, 124)(11, 47, 83, 119, 19, 55, 91, 127, 28, 64, 100, 136, 22, 58, 94, 130, 13, 49, 85, 121, 20, 56, 92, 128)(23, 59, 95, 131, 31, 67, 103, 139, 26, 62, 98, 134, 33, 69, 105, 141, 25, 61, 97, 133, 32, 68, 104, 140)(27, 63, 99, 135, 34, 70, 106, 142, 30, 66, 102, 138, 36, 72, 108, 144, 29, 65, 101, 137, 35, 71, 107, 143)
	L = (1, 38)(2, 37)(3, 43)(4, 45)(5, 47)(6, 49)(7, 39)(8, 48)(9, 40)(10, 50)(11, 41)(12, 44)(13, 42)(14, 46)(15, 59)(16, 61)(17, 60)(18, 62)(19, 63)(20, 65)(21, 64)(22, 66)(23, 51)(24, 53)(25, 52)(26, 54)(27, 55)(28, 57)(29, 56)(30, 58)(31, 70)(32, 71)(33, 72)(34, 67)(35, 68)(36, 69)(73, 110)(74, 109)(75, 115)(76, 117)(77, 119)(78, 121)(79, 111)(80, 120)(81, 112)(82, 122)(83, 113)(84, 116)(85, 114)(86, 118)(87, 131)(88, 133)(89, 132)(90, 134)(91, 135)(92, 137)(93, 136)(94, 138)(95, 123)(96, 125)(97, 124)(98, 126)(99, 127)(100, 129)(101, 128)(102, 130)(103, 142)(104, 143)(105, 144)(106, 139)(107, 140)(108, 141)
	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 E13.682
Transitivity :: VT+
Graph:: bipartite
	v = 6 e = 72 f = 42
	degree seq :: [ 24^6 ]

E13.689 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 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 :: [ Y1^2, Y2^2, R^2, Y2 * Y1, R * Y1 * R * Y2, (R * Y3)^2, (Y3^-1 * Y1 * Y3^-1)^2, Y3^6, (Y3^-1 * Y1)^6, (Y3 * Y1 * Y3^-1 * Y1)^3 ]
Map::
	R = (1, 37, 73, 109, 3, 39, 75, 111, 8, 44, 80, 116, 17, 53, 89, 125, 10, 46, 82, 118, 4, 40, 76, 112)(2, 38, 74, 110, 5, 41, 77, 113, 12, 48, 84, 120, 21, 57, 93, 129, 14, 50, 86, 122, 6, 42, 78, 114)(7, 43, 79, 115, 15, 51, 87, 123, 9, 45, 81, 117, 18, 54, 90, 126, 25, 61, 97, 133, 16, 52, 88, 124)(11, 47, 83, 119, 19, 55, 91, 127, 13, 49, 85, 121, 22, 58, 94, 130, 29, 65, 101, 137, 20, 56, 92, 128)(23, 59, 95, 131, 31, 67, 103, 139, 24, 60, 96, 132, 33, 69, 105, 141, 26, 62, 98, 134, 32, 68, 104, 140)(27, 63, 99, 135, 34, 70, 106, 142, 28, 64, 100, 136, 36, 72, 108, 144, 30, 66, 102, 138, 35, 71, 107, 143)
	L = (1, 38)(2, 37)(3, 43)(4, 45)(5, 47)(6, 49)(7, 39)(8, 50)(9, 40)(10, 48)(11, 41)(12, 46)(13, 42)(14, 44)(15, 59)(16, 60)(17, 61)(18, 62)(19, 63)(20, 64)(21, 65)(22, 66)(23, 51)(24, 52)(25, 53)(26, 54)(27, 55)(28, 56)(29, 57)(30, 58)(31, 71)(32, 70)(33, 72)(34, 68)(35, 67)(36, 69)(73, 110)(74, 109)(75, 115)(76, 117)(77, 119)(78, 121)(79, 111)(80, 122)(81, 112)(82, 120)(83, 113)(84, 118)(85, 114)(86, 116)(87, 131)(88, 132)(89, 133)(90, 134)(91, 135)(92, 136)(93, 137)(94, 138)(95, 123)(96, 124)(97, 125)(98, 126)(99, 127)(100, 128)(101, 129)(102, 130)(103, 143)(104, 142)(105, 144)(106, 140)(107, 139)(108, 141)
	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 E13.683
Transitivity :: VT+
Graph:: bipartite
	v = 6 e = 72 f = 42
	degree seq :: [ 24^6 ]

E13.690 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 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 :: [ Y1^2, Y2^2, R^2, Y1 * Y2 * Y3^2, (R * Y3)^2, R * Y2 * R * Y1, Y1 * Y3^4 * Y2, (Y2 * Y1)^3, Y3^-1 * Y2 * Y3^-1 * Y2 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 ]
Map::
	R = (1, 37, 73, 109, 4, 40, 76, 112, 9, 45, 81, 117, 15, 51, 87, 123, 6, 42, 78, 114, 5, 41, 77, 113)(2, 38, 74, 110, 7, 43, 79, 115, 14, 50, 86, 122, 10, 46, 82, 118, 3, 39, 75, 111, 8, 44, 80, 116)(11, 47, 83, 119, 19, 55, 91, 127, 13, 49, 85, 121, 21, 57, 93, 129, 12, 48, 84, 120, 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, 37)(3, 45)(4, 47)(5, 49)(6, 50)(7, 52)(8, 54)(9, 39)(10, 53)(11, 40)(12, 51)(13, 41)(14, 42)(15, 48)(16, 43)(17, 46)(18, 44)(19, 61)(20, 63)(21, 62)(22, 64)(23, 66)(24, 65)(25, 55)(26, 57)(27, 56)(28, 58)(29, 60)(30, 59)(31, 71)(32, 70)(33, 72)(34, 68)(35, 67)(36, 69)(73, 111)(74, 114)(75, 109)(76, 120)(77, 119)(78, 110)(79, 125)(80, 124)(81, 122)(82, 126)(83, 113)(84, 112)(85, 123)(86, 117)(87, 121)(88, 116)(89, 115)(90, 118)(91, 134)(92, 133)(93, 135)(94, 137)(95, 136)(96, 138)(97, 128)(98, 127)(99, 129)(100, 131)(101, 130)(102, 132)(103, 144)(104, 143)(105, 142)(106, 141)(107, 140)(108, 139)
	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 E13.684
Transitivity :: VT+
Graph:: bipartite
	v = 6 e = 72 f = 42
	degree seq :: [ 24^6 ]

E13.691 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 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, Y2 * Y1, (R * Y3)^2, R * Y1 * R * Y2, Y1 * Y3 * Y2^-1 * Y1 * Y3 * Y1, Y1^6, Y2^6, Y3 * Y2 * Y3 * Y2 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1, Y3 * Y1 * Y3 * Y2 * Y3 * Y1 * Y3 * Y1^-1 * Y3 * Y2^-1 * Y3 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 37, 73, 109, 4, 40, 76, 112)(2, 38, 74, 110, 6, 42, 78, 114)(3, 39, 75, 111, 8, 44, 80, 116)(5, 41, 77, 113, 12, 48, 84, 120)(7, 43, 79, 115, 15, 51, 87, 123)(9, 45, 81, 117, 17, 53, 89, 125)(10, 46, 82, 118, 18, 54, 90, 126)(11, 47, 83, 119, 19, 55, 91, 127)(13, 49, 85, 121, 21, 57, 93, 129)(14, 50, 86, 122, 22, 58, 94, 130)(16, 52, 88, 124, 23, 59, 95, 131)(20, 56, 92, 128, 27, 63, 99, 135)(24, 60, 96, 132, 31, 67, 103, 139)(25, 61, 97, 133, 32, 68, 104, 140)(26, 62, 98, 134, 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, 37)(4, 45)(5, 47)(6, 49)(7, 39)(8, 52)(9, 51)(10, 40)(11, 43)(12, 46)(13, 44)(14, 42)(15, 56)(16, 55)(17, 60)(18, 62)(19, 50)(20, 48)(21, 64)(22, 66)(23, 65)(24, 54)(25, 53)(26, 63)(27, 61)(28, 58)(29, 57)(30, 59)(31, 71)(32, 72)(33, 70)(34, 67)(35, 68)(36, 69)(73, 111)(74, 109)(75, 115)(76, 118)(77, 110)(78, 122)(79, 119)(80, 121)(81, 112)(82, 120)(83, 113)(84, 128)(85, 114)(86, 127)(87, 117)(88, 116)(89, 133)(90, 132)(91, 124)(92, 123)(93, 137)(94, 136)(95, 138)(96, 125)(97, 135)(98, 126)(99, 134)(100, 129)(101, 131)(102, 130)(103, 142)(104, 143)(105, 144)(106, 141)(107, 139)(108, 140)
	local type(s) :: { ( 4, 6, 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible
Dual of E13.685
Transitivity :: VT+
Graph:: bipartite
	v = 18 e = 72 f = 30
	degree seq :: [ 8^18 ]

E13.692 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 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, Y2^2 * Y1^2, Y3 * Y1^-1 * Y3 * Y2, (R * Y3)^2, R * Y1 * R * Y2, Y1^-2 * Y2^4, (Y3 * Y2^-2)^2, (Y2^-1 * Y1^-1)^3, (Y2 * Y1^-1)^3 ]
Map:: polytopal 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, 16, 52, 88, 124)(6, 42, 78, 114, 15, 51, 87, 123)(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, 31, 67, 103, 139)(18, 54, 90, 126, 30, 66, 102, 138)(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, 49)(5, 37)(6, 54)(7, 55)(8, 58)(9, 59)(10, 62)(11, 42)(12, 41)(13, 64)(14, 39)(15, 40)(16, 67)(17, 60)(18, 57)(19, 48)(20, 51)(21, 50)(22, 46)(23, 52)(24, 44)(25, 45)(26, 53)(27, 71)(28, 69)(29, 72)(30, 70)(31, 68)(32, 61)(33, 56)(34, 63)(35, 65)(36, 66)(73, 111)(74, 116)(75, 120)(76, 117)(77, 125)(78, 109)(79, 114)(80, 113)(81, 128)(82, 110)(83, 132)(84, 129)(85, 135)(86, 134)(87, 138)(88, 112)(89, 127)(90, 130)(91, 118)(92, 140)(93, 115)(94, 119)(95, 142)(96, 122)(97, 144)(98, 126)(99, 123)(100, 124)(101, 121)(102, 141)(103, 143)(104, 136)(105, 137)(106, 133)(107, 131)(108, 139)
	local type(s) :: { ( 4, 6, 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible
Dual of E13.686
Transitivity :: VT+
Graph:: bipartite
	v = 18 e = 72 f = 30
	degree seq :: [ 8^18 ]

E13.693 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 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, Y2^2, R^2, Y3^3, (R * Y1)^2, (Y1 * Y2)^2, (R * Y3)^2, Y3^-1 * Y2 * Y3 * Y2, (R * Y2)^2, Y3 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3 * Y1 ]
Map:: non-degenerate
	R = (1, 37, 2, 38)(3, 39, 6, 42)(4, 40, 11, 47)(5, 41, 12, 48)(7, 43, 15, 51)(8, 44, 16, 52)(9, 45, 17, 53)(10, 46, 18, 54)(13, 49, 23, 59)(14, 50, 24, 60)(19, 55, 25, 61)(20, 56, 27, 63)(21, 57, 26, 62)(22, 58, 28, 64)(29, 65, 33, 69)(30, 66, 35, 71)(31, 67, 34, 70)(32, 68, 36, 72)(73, 109, 75, 111)(74, 110, 78, 114)(76, 112, 81, 117)(77, 113, 82, 118)(79, 115, 85, 121)(80, 116, 86, 122)(83, 119, 89, 125)(84, 120, 90, 126)(87, 123, 95, 131)(88, 124, 96, 132)(91, 127, 101, 137)(92, 128, 102, 138)(93, 129, 103, 139)(94, 130, 104, 140)(97, 133, 105, 141)(98, 134, 106, 142)(99, 135, 107, 143)(100, 136, 108, 144)
	L = (1, 76)(2, 79)(3, 81)(4, 77)(5, 73)(6, 85)(7, 80)(8, 74)(9, 82)(10, 75)(11, 91)(12, 93)(13, 86)(14, 78)(15, 97)(16, 99)(17, 101)(18, 103)(19, 92)(20, 83)(21, 94)(22, 84)(23, 105)(24, 107)(25, 98)(26, 87)(27, 100)(28, 88)(29, 102)(30, 89)(31, 104)(32, 90)(33, 106)(34, 95)(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) :: { ( 12^4 ) }
Outer automorphisms :: reflexible
Dual of E13.714
Graph:: simple bipartite
	v = 36 e = 72 f = 12
	degree seq :: [ 4^36 ]

E13.694 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 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 * Y1)^2, (R * Y1)^2, (R * Y2)^2, (R * Y3)^2, (Y3, Y2^-1), Y2 * Y1 * Y2^-1 * Y1, Y2^6 ]
Map:: non-degenerate
	R = (1, 37, 2, 38)(3, 39, 7, 43)(4, 40, 10, 46)(5, 41, 9, 45)(6, 42, 8, 44)(11, 47, 17, 53)(12, 48, 19, 55)(13, 49, 18, 54)(14, 50, 22, 58)(15, 51, 21, 57)(16, 52, 20, 56)(23, 59, 28, 64)(24, 60, 30, 66)(25, 61, 29, 65)(26, 62, 32, 68)(27, 63, 31, 67)(33, 69, 36, 72)(34, 70, 35, 71)(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) :: { ( 4, 12, 4, 12 ), ( 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E13.698
Graph:: simple bipartite
	v = 24 e = 72 f = 24
	degree seq :: [ 4^18, 12^6 ]

E13.695 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 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, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y1^2, R^2, (R * Y3)^2, (R * Y1)^2, (Y3^-1 * Y1)^2, (R * Y2 * Y3^-1)^2, Y2^6, (Y2^-1 * Y1 * Y2^-2)^2, Y2 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1, (Y3 * Y2^-1)^6 ]
Map::
	R = (1, 37, 2, 38)(3, 39, 7, 43)(4, 40, 9, 45)(5, 41, 11, 47)(6, 42, 13, 49)(8, 44, 17, 53)(10, 46, 21, 57)(12, 48, 24, 60)(14, 50, 28, 64)(15, 51, 22, 58)(16, 52, 26, 62)(18, 54, 25, 61)(19, 55, 23, 59)(20, 56, 27, 63)(29, 65, 35, 71)(30, 66, 34, 70)(31, 67, 33, 69)(32, 68, 36, 72)(73, 109, 75, 111, 80, 116, 90, 126, 82, 118, 76, 112)(74, 110, 77, 113, 84, 120, 97, 133, 86, 122, 78, 114)(79, 115, 87, 123, 101, 137, 93, 129, 102, 138, 88, 124)(81, 117, 91, 127, 104, 140, 89, 125, 103, 139, 92, 128)(83, 119, 94, 130, 105, 141, 100, 136, 106, 142, 95, 131)(85, 121, 98, 134, 108, 144, 96, 132, 107, 143, 99, 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) :: { ( 4, 12, 4, 12 ), ( 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 24 e = 72 f = 24
	degree seq :: [ 4^18, 12^6 ]

E13.696 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 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, Y2^3 * Y1, (Y3 * Y1)^2, (R * Y3)^2, (R * Y1)^2, Y2 * Y1 * Y2^-1 * Y1, (R * Y2 * Y3)^2, Y3 * Y2 * Y3 * Y2 * Y3 * Y2^-1 * Y3 * Y2^-1 ]
Map:: polytopal non-degenerate
	R = (1, 37, 2, 38)(3, 39, 6, 42)(4, 40, 7, 43)(5, 41, 8, 44)(9, 45, 13, 49)(10, 46, 14, 50)(11, 47, 15, 51)(12, 48, 16, 52)(17, 53, 23, 59)(18, 54, 24, 60)(19, 55, 25, 61)(20, 56, 26, 62)(21, 57, 27, 63)(22, 58, 28, 64)(29, 65, 33, 69)(30, 66, 34, 70)(31, 67, 35, 71)(32, 68, 36, 72)(73, 109, 75, 111, 80, 116, 74, 110, 78, 114, 77, 113)(76, 112, 82, 118, 87, 123, 79, 115, 86, 122, 83, 119)(81, 117, 89, 125, 96, 132, 85, 121, 95, 131, 90, 126)(84, 120, 93, 129, 100, 136, 88, 124, 99, 135, 94, 130)(91, 127, 101, 137, 107, 143, 97, 133, 105, 141, 103, 139)(92, 128, 102, 138, 108, 144, 98, 134, 106, 142, 104, 140)
	L = (1, 76)(2, 79)(3, 81)(4, 73)(5, 84)(6, 85)(7, 74)(8, 88)(9, 75)(10, 91)(11, 92)(12, 77)(13, 78)(14, 97)(15, 98)(16, 80)(17, 101)(18, 102)(19, 82)(20, 83)(21, 103)(22, 104)(23, 105)(24, 106)(25, 86)(26, 87)(27, 107)(28, 108)(29, 89)(30, 90)(31, 93)(32, 94)(33, 95)(34, 96)(35, 99)(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, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E13.705
Graph:: bipartite
	v = 24 e = 72 f = 24
	degree seq :: [ 4^18, 12^6 ]

E13.697 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 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 * Y1)^2, (R * Y1)^2, (R * Y3)^2, Y3 * Y1 * Y2^3, (Y3 * Y2 * R)^2, (Y1 * Y2^-1 * R)^2, (Y2 * R * Y1)^2, Y2 * Y1 * Y2 * R * Y2 * R * Y2^-1 * Y1, Y2 * Y3 * Y2^-1 * Y1 * Y2^-1 * Y3 * Y2 * Y1, Y2 * Y3 * Y2 * Y1 * Y2^-1 * Y3 * Y2^-1 * Y1, (Y3 * Y2^-1)^6 ]
Map:: non-degenerate
	R = (1, 37, 2, 38)(3, 39, 9, 45)(4, 40, 7, 43)(5, 41, 14, 50)(6, 42, 17, 53)(8, 44, 19, 55)(10, 46, 15, 51)(11, 47, 16, 52)(12, 48, 18, 54)(13, 49, 20, 56)(21, 57, 29, 65)(22, 58, 33, 69)(23, 59, 31, 67)(24, 60, 35, 71)(25, 61, 30, 66)(26, 62, 34, 70)(27, 63, 32, 68)(28, 64, 36, 72)(73, 109, 75, 111, 82, 118, 79, 115, 88, 124, 77, 113)(74, 110, 78, 114, 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, 76)(2, 79)(3, 83)(4, 73)(5, 87)(6, 90)(7, 74)(8, 92)(9, 88)(10, 86)(11, 75)(12, 89)(13, 91)(14, 82)(15, 77)(16, 81)(17, 84)(18, 78)(19, 85)(20, 80)(21, 103)(22, 107)(23, 101)(24, 105)(25, 104)(26, 108)(27, 102)(28, 106)(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, 12, 4, 12 ), ( 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E13.704
Graph:: bipartite
	v = 24 e = 72 f = 24
	degree seq :: [ 4^18, 12^6 ]

E13.698 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 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, (R * Y2)^2, (Y1 * Y3)^2, (R * Y1)^2, (Y3, Y2^-1), (R * Y3)^2, Y2 * Y3 * Y1 * Y2^-1 * Y1, Y2^6 ]
Map:: non-degenerate
	R = (1, 37, 2, 38)(3, 39, 11, 47)(4, 40, 10, 46)(5, 41, 16, 52)(6, 42, 8, 44)(7, 43, 13, 49)(9, 45, 18, 54)(12, 48, 24, 60)(14, 50, 20, 56)(15, 51, 21, 57)(17, 53, 30, 66)(19, 55, 27, 63)(22, 58, 28, 64)(23, 59, 26, 62)(25, 61, 32, 68)(29, 65, 31, 67)(33, 69, 36, 72)(34, 70, 35, 71)(73, 109, 75, 111, 84, 120, 97, 133, 89, 125, 77, 113)(74, 110, 79, 115, 91, 127, 104, 140, 94, 130, 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, 83, 119, 95, 131, 105, 141, 102, 138, 93, 129)(82, 118, 92, 128, 96, 132, 106, 142, 101, 137, 88, 124)
	L = (1, 76)(2, 80)(3, 85)(4, 78)(5, 87)(6, 73)(7, 83)(8, 82)(9, 93)(10, 74)(11, 92)(12, 98)(13, 86)(14, 75)(15, 90)(16, 81)(17, 100)(18, 77)(19, 95)(20, 79)(21, 88)(22, 102)(23, 96)(24, 91)(25, 107)(26, 99)(27, 84)(28, 103)(29, 94)(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) :: { ( 4, 12, 4, 12 ), ( 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E13.694
Graph:: simple bipartite
	v = 24 e = 72 f = 24
	degree seq :: [ 4^18, 12^6 ]

E13.699 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 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), (R * Y3)^2, (Y1 * Y3)^2, (R * Y1)^2, (R * Y2)^2, Y2 * Y3^-1 * Y1 * Y2^-1 * Y1, Y3 * Y2 * Y1 * Y2^-1 * Y3^-1 * Y1, Y2^6 ]
Map:: non-degenerate
	R = (1, 37, 2, 38)(3, 39, 11, 47)(4, 40, 10, 46)(5, 41, 16, 52)(6, 42, 8, 44)(7, 43, 14, 50)(9, 45, 15, 51)(12, 48, 24, 60)(13, 49, 20, 56)(17, 53, 30, 66)(18, 54, 22, 58)(19, 55, 26, 62)(21, 57, 31, 67)(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, 96, 132, 106, 142, 101, 137, 88, 124)(82, 118, 83, 119, 95, 131, 105, 141, 102, 138, 94, 130)
	L = (1, 76)(2, 80)(3, 85)(4, 78)(5, 87)(6, 73)(7, 92)(8, 82)(9, 88)(10, 74)(11, 79)(12, 98)(13, 86)(14, 75)(15, 90)(16, 94)(17, 100)(18, 77)(19, 96)(20, 83)(21, 101)(22, 81)(23, 91)(24, 95)(25, 107)(26, 99)(27, 84)(28, 103)(29, 102)(30, 93)(31, 89)(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, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible selfdual
Graph:: simple bipartite
	v = 24 e = 72 f = 24
	degree seq :: [ 4^18, 12^6 ]

E13.700 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 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, 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^-1 * Y1 * Y2^2 * Y1 * Y2^-1, Y2^6, Y2 * Y1 * Y2^-1 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2 * Y1, (Y3 * Y2^-1)^6 ]
Map::
	R = (1, 37, 2, 38)(3, 39, 7, 43)(4, 40, 9, 45)(5, 41, 11, 47)(6, 42, 13, 49)(8, 44, 12, 48)(10, 46, 14, 50)(15, 51, 23, 59)(16, 52, 25, 61)(17, 53, 24, 60)(18, 54, 26, 62)(19, 55, 27, 63)(20, 56, 29, 65)(21, 57, 28, 64)(22, 58, 30, 66)(31, 67, 34, 70)(32, 68, 35, 71)(33, 69, 36, 72)(73, 109, 75, 111, 80, 116, 89, 125, 82, 118, 76, 112)(74, 110, 77, 113, 84, 120, 93, 129, 86, 122, 78, 114)(79, 115, 87, 123, 96, 132, 90, 126, 81, 117, 88, 124)(83, 119, 91, 127, 100, 136, 94, 130, 85, 121, 92, 128)(95, 131, 103, 139, 98, 134, 105, 141, 97, 133, 104, 140)(99, 135, 106, 142, 102, 138, 108, 144, 101, 137, 107, 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) :: { ( 4, 12, 4, 12 ), ( 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 24 e = 72 f = 24
	degree seq :: [ 4^18, 12^6 ]

E13.701 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 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, 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^-1 * Y1 * Y2^-1)^2, Y2^6, Y2^-1 * Y1 * Y2^-1 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1, (Y2 * Y1 * Y2^-1 * Y1)^3, (Y3 * Y2^-1)^6 ]
Map::
	R = (1, 37, 2, 38)(3, 39, 7, 43)(4, 40, 9, 45)(5, 41, 11, 47)(6, 42, 13, 49)(8, 44, 14, 50)(10, 46, 12, 48)(15, 51, 23, 59)(16, 52, 24, 60)(17, 53, 25, 61)(18, 54, 26, 62)(19, 55, 27, 63)(20, 56, 28, 64)(21, 57, 29, 65)(22, 58, 30, 66)(31, 67, 35, 71)(32, 68, 34, 70)(33, 69, 36, 72)(73, 109, 75, 111, 80, 116, 89, 125, 82, 118, 76, 112)(74, 110, 77, 113, 84, 120, 93, 129, 86, 122, 78, 114)(79, 115, 87, 123, 81, 117, 90, 126, 97, 133, 88, 124)(83, 119, 91, 127, 85, 121, 94, 130, 101, 137, 92, 128)(95, 131, 103, 139, 96, 132, 105, 141, 98, 134, 104, 140)(99, 135, 106, 142, 100, 136, 108, 144, 102, 138, 107, 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) :: { ( 4, 12, 4, 12 ), ( 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 24 e = 72 f = 24
	degree seq :: [ 4^18, 12^6 ]

E13.702 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 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 * Y1)^2, (R * Y3)^2, (Y3 * Y1)^2, (Y2^-1 * R)^2, Y2^6, Y2^2 * Y1 * Y2^-2 * Y1, (Y2^-1 * Y1)^3 ]
Map:: non-degenerate
	R = (1, 37, 2, 38)(3, 39, 9, 45)(4, 40, 7, 43)(5, 41, 13, 49)(6, 42, 15, 51)(8, 44, 19, 55)(10, 46, 16, 52)(11, 47, 21, 57)(12, 48, 25, 61)(14, 50, 20, 56)(17, 53, 27, 63)(18, 54, 31, 67)(22, 58, 29, 65)(23, 59, 28, 64)(24, 60, 30, 66)(26, 62, 32, 68)(33, 69, 36, 72)(34, 70, 35, 71)(73, 109, 75, 111, 82, 118, 95, 131, 86, 122, 77, 113)(74, 110, 78, 114, 88, 124, 101, 137, 92, 128, 80, 116)(76, 112, 83, 119, 96, 132, 106, 142, 98, 134, 84, 120)(79, 115, 89, 125, 102, 138, 108, 144, 104, 140, 90, 126)(81, 117, 91, 127, 100, 136, 87, 123, 85, 121, 94, 130)(93, 129, 103, 139, 107, 143, 99, 135, 97, 133, 105, 141)
	L = (1, 76)(2, 79)(3, 83)(4, 73)(5, 84)(6, 89)(7, 74)(8, 90)(9, 93)(10, 96)(11, 75)(12, 77)(13, 97)(14, 98)(15, 99)(16, 102)(17, 78)(18, 80)(19, 103)(20, 104)(21, 81)(22, 105)(23, 106)(24, 82)(25, 85)(26, 86)(27, 87)(28, 107)(29, 108)(30, 88)(31, 91)(32, 92)(33, 94)(34, 95)(35, 100)(36, 101)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 4, 12, 4, 12 ), ( 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible selfdual
Graph:: simple bipartite
	v = 24 e = 72 f = 24
	degree seq :: [ 4^18, 12^6 ]

E13.703 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 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 * Y3 * Y2 * Y3, (Y3 * Y1)^2, (R * Y3)^2, (R * Y1)^2, (Y2^-1 * R)^2, Y2^6, Y2^-1 * Y1 * Y2^2 * Y1 * Y2^-1, Y1 * Y2 * Y1 * Y2 * Y1 * Y3 * Y2 ]
Map:: non-degenerate
	R = (1, 37, 2, 38)(3, 39, 9, 45)(4, 40, 7, 43)(5, 41, 13, 49)(6, 42, 15, 51)(8, 44, 19, 55)(10, 46, 16, 52)(11, 47, 22, 58)(12, 48, 26, 62)(14, 50, 20, 56)(17, 53, 28, 64)(18, 54, 21, 57)(23, 59, 35, 71)(24, 60, 33, 69)(25, 61, 31, 67)(27, 63, 32, 68)(29, 65, 36, 72)(30, 66, 34, 70)(73, 109, 75, 111, 82, 118, 96, 132, 86, 122, 77, 113)(74, 110, 78, 114, 88, 124, 102, 138, 92, 128, 80, 116)(76, 112, 83, 119, 97, 133, 108, 144, 99, 135, 84, 120)(79, 115, 89, 125, 103, 139, 107, 143, 104, 140, 90, 126)(81, 117, 93, 129, 105, 141, 100, 136, 85, 121, 95, 131)(87, 123, 98, 134, 106, 142, 94, 130, 91, 127, 101, 137)
	L = (1, 76)(2, 79)(3, 83)(4, 73)(5, 84)(6, 89)(7, 74)(8, 90)(9, 94)(10, 97)(11, 75)(12, 77)(13, 98)(14, 99)(15, 100)(16, 103)(17, 78)(18, 80)(19, 93)(20, 104)(21, 91)(22, 81)(23, 106)(24, 108)(25, 82)(26, 85)(27, 86)(28, 87)(29, 105)(30, 107)(31, 88)(32, 92)(33, 101)(34, 95)(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, 12, 4, 12 ), ( 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible selfdual
Graph:: simple bipartite
	v = 24 e = 72 f = 24
	degree seq :: [ 4^18, 12^6 ]

E13.704 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 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, (Y1 * Y3)^2, Y2 * Y1 * Y2^-1 * Y1, (R * Y2 * Y3)^2, Y2^6, (Y2^-2 * R)^2, Y3 * Y2^2 * Y3 * Y2^-2, Y2 * Y1 * Y3 * Y2 * Y3 * Y2 * Y3 ]
Map:: non-degenerate
	R = (1, 37, 2, 38)(3, 39, 6, 42)(4, 40, 7, 43)(5, 41, 8, 44)(9, 45, 15, 51)(10, 46, 16, 52)(11, 47, 17, 53)(12, 48, 18, 54)(13, 49, 19, 55)(14, 50, 20, 56)(21, 57, 29, 65)(22, 58, 30, 66)(23, 59, 26, 62)(24, 60, 31, 67)(25, 61, 28, 64)(27, 63, 32, 68)(33, 69, 36, 72)(34, 70, 35, 71)(73, 109, 75, 111, 81, 117, 93, 129, 86, 122, 77, 113)(74, 110, 78, 114, 87, 123, 101, 137, 92, 128, 80, 116)(76, 112, 83, 119, 94, 130, 106, 142, 99, 135, 84, 120)(79, 115, 89, 125, 102, 138, 107, 143, 104, 140, 90, 126)(82, 118, 95, 131, 105, 141, 100, 136, 85, 121, 96, 132)(88, 124, 98, 134, 108, 144, 97, 133, 91, 127, 103, 139)
	L = (1, 76)(2, 79)(3, 82)(4, 73)(5, 85)(6, 88)(7, 74)(8, 91)(9, 94)(10, 75)(11, 97)(12, 98)(13, 77)(14, 99)(15, 102)(16, 78)(17, 100)(18, 95)(19, 80)(20, 104)(21, 105)(22, 81)(23, 90)(24, 107)(25, 83)(26, 84)(27, 86)(28, 89)(29, 108)(30, 87)(31, 106)(32, 92)(33, 93)(34, 103)(35, 96)(36, 101)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 4, 12, 4, 12 ), ( 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E13.697
Graph:: simple bipartite
	v = 24 e = 72 f = 24
	degree seq :: [ 4^18, 12^6 ]

E13.705 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 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 * Y1)^2, (R * Y3)^2, (R * Y1)^2, Y2 * Y3 * Y2 * Y1 * Y2 * Y3, (R * Y2 * Y3)^2, Y2^6, Y2^2 * Y1 * Y2^-2 * Y1, Y2 * Y3 * Y1 * Y2^-1 * Y3 * Y1, Y3 * Y2^2 * Y3 * Y2^-2, (Y2^-2 * R)^2 ]
Map:: polytopal non-degenerate
	R = (1, 37, 2, 38)(3, 39, 9, 45)(4, 40, 7, 43)(5, 41, 14, 50)(6, 42, 17, 53)(8, 44, 22, 58)(10, 46, 18, 54)(11, 47, 20, 56)(12, 48, 19, 55)(13, 49, 23, 59)(15, 51, 21, 57)(16, 52, 24, 60)(25, 61, 31, 67)(26, 62, 30, 66)(27, 63, 32, 68)(28, 64, 35, 71)(29, 65, 34, 70)(33, 69, 36, 72)(73, 109, 75, 111, 82, 118, 98, 134, 88, 124, 77, 113)(74, 110, 78, 114, 90, 126, 103, 139, 96, 132, 80, 116)(76, 112, 84, 120, 99, 135, 107, 143, 101, 137, 85, 121)(79, 115, 92, 128, 104, 140, 108, 144, 106, 142, 93, 129)(81, 117, 94, 130, 102, 138, 89, 125, 86, 122, 97, 133)(83, 119, 95, 131, 105, 141, 91, 127, 87, 123, 100, 136)
	L = (1, 76)(2, 79)(3, 83)(4, 73)(5, 87)(6, 91)(7, 74)(8, 95)(9, 92)(10, 99)(11, 75)(12, 89)(13, 94)(14, 93)(15, 77)(16, 101)(17, 84)(18, 104)(19, 78)(20, 81)(21, 86)(22, 85)(23, 80)(24, 106)(25, 107)(26, 105)(27, 82)(28, 103)(29, 88)(30, 108)(31, 100)(32, 90)(33, 98)(34, 96)(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, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E13.696
Graph:: simple bipartite
	v = 24 e = 72 f = 24
	degree seq :: [ 4^18, 12^6 ]

E13.706 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 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, (R * Y3)^2, (Y3 * Y1)^2, (R * Y1)^2, (R * Y2 * Y3)^2, Y2 * Y3 * Y2^-1 * Y3 * Y2 * Y1, Y3 * Y2^-1 * Y3 * Y1 * Y2^-1 * Y1, (Y3 * Y2^-2)^2, Y2^6, Y2^2 * Y1 * Y2^-2 * Y1, (Y2^-1 * Y1 * Y2^-2)^3 ]
Map:: polytopal non-degenerate
	R = (1, 37, 2, 38)(3, 39, 9, 45)(4, 40, 7, 43)(5, 41, 14, 50)(6, 42, 17, 53)(8, 44, 22, 58)(10, 46, 18, 54)(11, 47, 21, 57)(12, 48, 23, 59)(13, 49, 19, 55)(15, 51, 20, 56)(16, 52, 24, 60)(25, 61, 31, 67)(26, 62, 30, 66)(27, 63, 32, 68)(28, 64, 35, 71)(29, 65, 34, 70)(33, 69, 36, 72)(73, 109, 75, 111, 82, 118, 98, 134, 88, 124, 77, 113)(74, 110, 78, 114, 90, 126, 103, 139, 96, 132, 80, 116)(76, 112, 84, 120, 101, 137, 107, 143, 99, 135, 85, 121)(79, 115, 92, 128, 106, 142, 108, 144, 104, 140, 93, 129)(81, 117, 94, 130, 102, 138, 89, 125, 86, 122, 97, 133)(83, 119, 100, 136, 87, 123, 91, 127, 105, 141, 95, 131)
	L = (1, 76)(2, 79)(3, 83)(4, 73)(5, 87)(6, 91)(7, 74)(8, 95)(9, 93)(10, 99)(11, 75)(12, 94)(13, 89)(14, 92)(15, 77)(16, 101)(17, 85)(18, 104)(19, 78)(20, 86)(21, 81)(22, 84)(23, 80)(24, 106)(25, 107)(26, 105)(27, 82)(28, 103)(29, 88)(30, 108)(31, 100)(32, 90)(33, 98)(34, 96)(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, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible selfdual
Graph:: simple bipartite
	v = 24 e = 72 f = 24
	degree seq :: [ 4^18, 12^6 ]

E13.707 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 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, (R * Y1)^2, (R * Y3)^2, (Y1 * Y3)^2, (Y2^-1 * Y1)^2, (Y3 * Y2^-2)^2, (R * Y2 * Y3)^2, Y2^6, Y2^-1 * Y1 * Y3 * Y2^-1 * Y3 * Y2 * Y3, (Y3 * Y2)^6 ]
Map:: polytopal non-degenerate
	R = (1, 37, 2, 38)(3, 39, 8, 44)(4, 40, 7, 43)(5, 41, 6, 42)(9, 45, 20, 56)(10, 46, 19, 55)(11, 47, 18, 54)(12, 48, 17, 53)(13, 49, 16, 52)(14, 50, 15, 51)(21, 57, 29, 65)(22, 58, 32, 68)(23, 59, 31, 67)(24, 60, 26, 62)(25, 61, 30, 66)(27, 63, 28, 64)(33, 69, 36, 72)(34, 70, 35, 71)(73, 109, 75, 111, 81, 117, 93, 129, 86, 122, 77, 113)(74, 110, 78, 114, 87, 123, 101, 137, 92, 128, 80, 116)(76, 112, 83, 119, 97, 133, 106, 142, 94, 130, 84, 120)(79, 115, 89, 125, 104, 140, 107, 143, 102, 138, 90, 126)(82, 118, 95, 131, 85, 121, 100, 136, 105, 141, 96, 132)(88, 124, 103, 139, 91, 127, 98, 134, 108, 144, 99, 135)
	L = (1, 76)(2, 79)(3, 82)(4, 73)(5, 85)(6, 88)(7, 74)(8, 91)(9, 94)(10, 75)(11, 98)(12, 99)(13, 77)(14, 97)(15, 102)(16, 78)(17, 100)(18, 96)(19, 80)(20, 104)(21, 105)(22, 81)(23, 107)(24, 90)(25, 86)(26, 83)(27, 84)(28, 89)(29, 108)(30, 87)(31, 106)(32, 92)(33, 93)(34, 103)(35, 95)(36, 101)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 4, 12, 4, 12 ), ( 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible selfdual
Graph:: simple bipartite
	v = 24 e = 72 f = 24
	degree seq :: [ 4^18, 12^6 ]

E13.708 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 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, R^2, Y2 * Y3^-1 * Y2, Y3^3, (Y1 * Y3^-1)^2, (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1, (Y2 * Y1 * Y2^-1 * Y1)^3 ]
Map:: non-degenerate
	R = (1, 37, 2, 38)(3, 39, 11, 47)(4, 40, 10, 46)(5, 41, 13, 49)(6, 42, 8, 44)(7, 43, 14, 50)(9, 45, 16, 52)(12, 48, 19, 55)(15, 51, 23, 59)(17, 53, 25, 61)(18, 54, 26, 62)(20, 56, 27, 63)(21, 57, 28, 64)(22, 58, 29, 65)(24, 60, 30, 66)(31, 67, 35, 71)(32, 68, 34, 70)(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, 85, 121, 92, 128, 91, 127, 90, 126)(86, 122, 93, 129, 88, 124, 96, 132, 95, 131, 94, 130)(97, 133, 103, 139, 98, 134, 105, 141, 99, 135, 104, 140)(100, 136, 106, 142, 101, 137, 108, 144, 102, 138, 107, 143)
	L = (1, 76)(2, 80)(3, 84)(4, 78)(5, 75)(6, 73)(7, 87)(8, 82)(9, 79)(10, 74)(11, 85)(12, 77)(13, 91)(14, 88)(15, 81)(16, 95)(17, 92)(18, 89)(19, 83)(20, 90)(21, 96)(22, 93)(23, 86)(24, 94)(25, 98)(26, 99)(27, 97)(28, 101)(29, 102)(30, 100)(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, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 24 e = 72 f = 24
	degree seq :: [ 4^18, 12^6 ]

E13.709 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 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^-1)^2, (R * Y3)^2, Y2^-1 * Y3^-1 * Y2 * Y3^-1, (R * Y1)^2, Y2 * Y3 * Y1 * Y2^-1 * Y1, (R * Y2 * Y3^-1)^2, (Y2^-2 * R)^2, Y2^6 ]
Map:: non-degenerate
	R = (1, 37, 2, 38)(3, 39, 11, 47)(4, 40, 10, 46)(5, 41, 16, 52)(6, 42, 8, 44)(7, 43, 13, 49)(9, 45, 17, 53)(12, 48, 19, 55)(14, 50, 20, 56)(15, 51, 21, 57)(18, 54, 22, 58)(23, 59, 25, 61)(24, 60, 33, 69)(26, 62, 31, 67)(27, 63, 28, 64)(29, 65, 32, 68)(30, 66, 34, 70)(35, 71, 36, 72)(73, 109, 75, 111, 84, 120, 96, 132, 90, 126, 77, 113)(74, 110, 79, 115, 91, 127, 102, 138, 94, 130, 81, 117)(76, 112, 86, 122, 97, 133, 107, 143, 99, 135, 87, 123)(78, 114, 85, 121, 98, 134, 106, 142, 101, 137, 89, 125)(80, 116, 92, 128, 103, 139, 108, 144, 104, 140, 93, 129)(82, 118, 83, 119, 95, 131, 105, 141, 100, 136, 88, 124)
	L = (1, 76)(2, 80)(3, 85)(4, 78)(5, 89)(6, 73)(7, 83)(8, 82)(9, 88)(10, 74)(11, 92)(12, 97)(13, 86)(14, 75)(15, 77)(16, 93)(17, 87)(18, 99)(19, 103)(20, 79)(21, 81)(22, 104)(23, 91)(24, 106)(25, 98)(26, 84)(27, 101)(28, 94)(29, 90)(30, 105)(31, 95)(32, 100)(33, 108)(34, 107)(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) :: { ( 4, 12, 4, 12 ), ( 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible selfdual
Graph:: simple bipartite
	v = 24 e = 72 f = 24
	degree seq :: [ 4^18, 12^6 ]

E13.710 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 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, R^2, Y3^3, (R * Y3)^2, (Y3^-1 * Y1)^2, Y2^-1 * Y3^-1 * Y2 * Y3^-1, (R * Y1)^2, Y1 * Y2 * Y3 * Y1 * Y2, (R * Y2 * Y3^-1)^2, Y2^6, (Y2^-2 * R)^2 ]
Map:: non-degenerate
	R = (1, 37, 2, 38)(3, 39, 11, 47)(4, 40, 10, 46)(5, 41, 16, 52)(6, 42, 8, 44)(7, 43, 17, 53)(9, 45, 13, 49)(12, 48, 22, 58)(14, 50, 21, 57)(15, 51, 20, 56)(18, 54, 19, 55)(23, 59, 25, 61)(24, 60, 33, 69)(26, 62, 32, 68)(27, 63, 28, 64)(29, 65, 31, 67)(30, 66, 34, 70)(35, 71, 36, 72)(73, 109, 75, 111, 84, 120, 96, 132, 90, 126, 77, 113)(74, 110, 79, 115, 91, 127, 102, 138, 94, 130, 81, 117)(76, 112, 86, 122, 97, 133, 107, 143, 99, 135, 87, 123)(78, 114, 85, 121, 98, 134, 106, 142, 101, 137, 89, 125)(80, 116, 92, 128, 103, 139, 108, 144, 104, 140, 93, 129)(82, 118, 88, 124, 100, 136, 105, 141, 95, 131, 83, 119)
	L = (1, 76)(2, 80)(3, 85)(4, 78)(5, 89)(6, 73)(7, 88)(8, 82)(9, 83)(10, 74)(11, 93)(12, 97)(13, 86)(14, 75)(15, 77)(16, 92)(17, 87)(18, 99)(19, 103)(20, 79)(21, 81)(22, 104)(23, 94)(24, 106)(25, 98)(26, 84)(27, 101)(28, 91)(29, 90)(30, 105)(31, 100)(32, 95)(33, 108)(34, 107)(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) :: { ( 4, 12, 4, 12 ), ( 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible selfdual
Graph:: simple bipartite
	v = 24 e = 72 f = 24
	degree seq :: [ 4^18, 12^6 ]

E13.711 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 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, R^2, Y3^3, (Y3^-1 * Y1)^2, (Y2 * Y3)^2, (R * Y3)^2, (R * Y1)^2, Y1 * Y2^-1 * Y3 * Y1 * Y2, (Y2 * Y3^-1 * Y1)^2, Y3^-1 * Y2^-3 * Y3^-1 * Y2, Y3^-1 * Y2 * Y3^-1 * Y2^3, (Y2^2 * Y1)^2, (R * Y2 * Y3^-1)^2, Y2^6, (Y2^-2 * R)^2 ]
Map:: non-degenerate
	R = (1, 37, 2, 38)(3, 39, 11, 47)(4, 40, 10, 46)(5, 41, 17, 53)(6, 42, 8, 44)(7, 43, 20, 56)(9, 45, 18, 54)(12, 48, 26, 62)(13, 49, 28, 64)(14, 50, 25, 61)(15, 51, 24, 60)(16, 52, 23, 59)(19, 55, 21, 57)(22, 58, 29, 65)(27, 63, 33, 69)(30, 66, 34, 70)(31, 67, 36, 72)(32, 68, 35, 71)(73, 109, 75, 111, 84, 120, 101, 137, 91, 127, 77, 113)(74, 110, 79, 115, 93, 129, 100, 136, 98, 134, 81, 117)(76, 112, 87, 123, 102, 138, 86, 122, 105, 141, 88, 124)(78, 114, 92, 128, 103, 139, 90, 126, 104, 140, 85, 121)(80, 116, 96, 132, 107, 143, 95, 131, 108, 144, 97, 133)(82, 118, 83, 119, 99, 135, 89, 125, 106, 142, 94, 130)
	L = (1, 76)(2, 80)(3, 85)(4, 78)(5, 90)(6, 73)(7, 94)(8, 82)(9, 89)(10, 74)(11, 97)(12, 102)(13, 86)(14, 75)(15, 77)(16, 101)(17, 96)(18, 87)(19, 105)(20, 88)(21, 107)(22, 95)(23, 79)(24, 81)(25, 100)(26, 108)(27, 93)(28, 83)(29, 92)(30, 103)(31, 84)(32, 91)(33, 104)(34, 98)(35, 99)(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, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible selfdual
Graph:: simple bipartite
	v = 24 e = 72 f = 24
	degree seq :: [ 4^18, 12^6 ]

E13.712 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 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^-1 * Y3^-1, (Y3^-1 * Y1)^2, (R * Y3)^2, (R * Y1)^2, Y1 * Y2^-1 * Y3 * Y2^-1 * Y3^-1 * Y2^-1, (R * Y2 * Y3^-1)^2, Y2 * Y3^-1 * Y1 * Y3 * Y2^-1 * Y1, Y2^-1 * Y3^-1 * Y2^-1 * Y3 * Y1 * Y2^-1, (Y2^-1 * Y1)^3, Y3^-1 * Y2^-1 * Y3 * Y2^-2 * Y1, Y2^6 ]
Map:: non-degenerate
	R = (1, 37, 2, 38)(3, 39, 11, 47)(4, 40, 10, 46)(5, 41, 17, 53)(6, 42, 8, 44)(7, 43, 21, 57)(9, 45, 27, 63)(12, 48, 22, 58)(13, 49, 31, 67)(14, 50, 24, 60)(15, 51, 30, 66)(16, 52, 26, 62)(18, 54, 32, 68)(19, 55, 29, 65)(20, 56, 25, 61)(23, 59, 34, 70)(28, 64, 35, 71)(33, 69, 36, 72)(73, 109, 75, 111, 84, 120, 102, 138, 91, 127, 77, 113)(74, 110, 79, 115, 94, 130, 92, 128, 101, 137, 81, 117)(76, 112, 86, 122, 104, 140, 108, 144, 103, 139, 88, 124)(78, 114, 85, 121, 100, 136, 82, 118, 95, 131, 90, 126)(80, 116, 96, 132, 107, 143, 105, 141, 106, 142, 98, 134)(83, 119, 99, 135, 87, 123, 93, 129, 89, 125, 97, 133)
	L = (1, 76)(2, 80)(3, 85)(4, 87)(5, 90)(6, 73)(7, 95)(8, 97)(9, 100)(10, 74)(11, 96)(12, 104)(13, 101)(14, 75)(15, 105)(16, 77)(17, 98)(18, 94)(19, 103)(20, 78)(21, 86)(22, 107)(23, 91)(24, 79)(25, 108)(26, 81)(27, 88)(28, 84)(29, 106)(30, 82)(31, 83)(32, 89)(33, 92)(34, 93)(35, 99)(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, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible selfdual
Graph:: simple bipartite
	v = 24 e = 72 f = 24
	degree seq :: [ 4^18, 12^6 ]

E13.713 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 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^-1 * Y1)^2, (R * Y3)^2, (R * Y1)^2, Y3^-1 * Y2 * Y3^-1 * Y2^-1, Y1 * Y3 * Y2^-3, (R * Y2 * Y3^-1)^2, Y3^6 ]
Map:: non-degenerate
	R = (1, 37, 2, 38)(3, 39, 11, 47)(4, 40, 10, 46)(5, 41, 17, 53)(6, 42, 8, 44)(7, 43, 21, 57)(9, 45, 24, 60)(12, 48, 16, 52)(13, 49, 27, 63)(14, 50, 19, 55)(15, 51, 26, 62)(18, 54, 30, 66)(20, 56, 23, 59)(22, 58, 32, 68)(25, 61, 35, 71)(28, 64, 33, 69)(29, 65, 34, 70)(31, 67, 36, 72)(73, 109, 75, 111, 84, 120, 80, 116, 91, 127, 77, 113)(74, 110, 79, 115, 88, 124, 76, 112, 86, 122, 81, 117)(78, 114, 85, 121, 89, 125, 95, 131, 83, 119, 90, 126)(82, 118, 94, 130, 96, 132, 87, 123, 93, 129, 97, 133)(92, 128, 100, 136, 102, 138, 106, 142, 99, 135, 103, 139)(98, 134, 105, 141, 107, 143, 101, 137, 104, 140, 108, 144)
	L = (1, 76)(2, 80)(3, 85)(4, 87)(5, 90)(6, 73)(7, 94)(8, 95)(9, 97)(10, 74)(11, 91)(12, 81)(13, 100)(14, 75)(15, 101)(16, 77)(17, 84)(18, 103)(19, 79)(20, 78)(21, 86)(22, 105)(23, 106)(24, 88)(25, 108)(26, 82)(27, 83)(28, 104)(29, 92)(30, 89)(31, 107)(32, 93)(33, 99)(34, 98)(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) :: { ( 4, 12, 4, 12 ), ( 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 24 e = 72 f = 24
	degree seq :: [ 4^18, 12^6 ]

E13.714 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 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, (Y2 * Y1)^2, (R * Y1)^2, (Y3 * Y2^-1)^2, (R * Y2)^2, (Y3 * Y1)^2, (R * Y3)^2, Y1 * Y2^-1 * Y1 * Y2^-1 * Y1^2, Y1 * Y3^-1 * Y1 * Y3^-1 * Y1^2, Y1^6 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 8, 44, 23, 59, 20, 56, 5, 41)(3, 39, 13, 49, 24, 60, 11, 47, 31, 67, 14, 50)(4, 40, 16, 52, 25, 61, 12, 48, 32, 68, 17, 53)(6, 42, 21, 57, 26, 62, 18, 54, 28, 64, 9, 45)(7, 43, 22, 58, 27, 63, 19, 55, 30, 66, 10, 46)(15, 51, 29, 65, 35, 71, 34, 70, 36, 72, 33, 69)(73, 109, 75, 111, 79, 115, 87, 123, 76, 112, 78, 114)(74, 110, 81, 117, 84, 120, 101, 137, 82, 118, 83, 119)(77, 113, 90, 126, 88, 124, 105, 141, 91, 127, 85, 121)(80, 116, 96, 132, 99, 135, 107, 143, 97, 133, 98, 134)(86, 122, 95, 131, 93, 129, 89, 125, 106, 142, 94, 130)(92, 128, 103, 139, 102, 138, 108, 144, 104, 140, 100, 136)
	L = (1, 76)(2, 82)(3, 78)(4, 79)(5, 91)(6, 87)(7, 73)(8, 97)(9, 83)(10, 84)(11, 101)(12, 74)(13, 105)(14, 106)(15, 75)(16, 77)(17, 95)(18, 85)(19, 88)(20, 104)(21, 86)(22, 89)(23, 94)(24, 98)(25, 99)(26, 107)(27, 80)(28, 108)(29, 81)(30, 92)(31, 100)(32, 102)(33, 90)(34, 93)(35, 96)(36, 103)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 4^12 ) }
Outer automorphisms :: reflexible
Dual of E13.693
Graph:: bipartite
	v = 12 e = 72 f = 36
	degree seq :: [ 12^12 ]

E13.715 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 6, 6})
Quotient :: edge^2
Aut^+ = C6 x S3 (small group id <36, 12>)
Aut   = C2 x C6 x S3 (small group id <72, 48>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y1^-1 * Y2^-1, R * Y1 * R * Y2, (R * Y3)^2, Y1 * Y2^-2 * Y1^2 * Y2^-1, Y1^6, Y2^6, (Y3 * Y1^-3)^2, Y2^2 * Y3 * Y1 * Y2^-2 * Y3 * Y1^-1, Y3 * Y1 * Y3 * Y1 * Y3 * Y1^-1 * Y3 * Y1^-1, Y3 * Y2 * Y3 * Y1 * Y3 * Y2^-1 * Y3 * Y1^-1, Y3 * Y2 * Y3 * Y2 * Y3 * Y2^-1 * Y3 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 37, 4, 40)(2, 38, 6, 42)(3, 39, 8, 44)(5, 41, 12, 48)(7, 43, 15, 51)(9, 45, 19, 55)(10, 46, 21, 57)(11, 47, 22, 58)(13, 49, 26, 62)(14, 50, 28, 64)(16, 52, 29, 65)(17, 53, 30, 66)(18, 54, 31, 67)(20, 56, 32, 68)(23, 59, 33, 69)(24, 60, 34, 70)(25, 61, 35, 71)(27, 63, 36, 72)(73, 74, 77, 83, 79, 75)(76, 81, 90, 94, 92, 82)(78, 85, 97, 87, 99, 86)(80, 88, 96, 84, 95, 89)(91, 98, 105, 104, 108, 101)(93, 100, 106, 103, 107, 102)(109, 111, 115, 119, 113, 110)(112, 118, 128, 130, 126, 117)(114, 122, 135, 123, 133, 121)(116, 125, 131, 120, 132, 124)(127, 137, 144, 140, 141, 134)(129, 138, 143, 139, 142, 136)
	L = (1, 73)(2, 74)(3, 75)(4, 76)(5, 77)(6, 78)(7, 79)(8, 80)(9, 81)(10, 82)(11, 83)(12, 84)(13, 85)(14, 86)(15, 87)(16, 88)(17, 89)(18, 90)(19, 91)(20, 92)(21, 93)(22, 94)(23, 95)(24, 96)(25, 97)(26, 98)(27, 99)(28, 100)(29, 101)(30, 102)(31, 103)(32, 104)(33, 105)(34, 106)(35, 107)(36, 108)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 8^4 ), ( 8^6 ) }
Outer automorphisms :: reflexible
Dual of E13.717
Graph:: simple bipartite
	v = 30 e = 72 f = 18
	degree seq :: [ 4^18, 6^12 ]

E13.716 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 6, 6})
Quotient :: edge^2
Aut^+ = C6 x S3 (small group id <36, 12>)
Aut   = C2 x C6 x S3 (small group id <72, 48>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y1^-1 * Y2^-1, (R * Y3)^2, R * Y1 * R * Y2, Y1^6, Y2 * Y3 * Y1 * Y2^-1 * Y3 * Y1^-1, Y3 * Y1^2 * Y3 * Y1^-2, Y3 * Y2^2 * Y3 * Y2^-2, Y2^6, Y3 * Y1 * Y3 * Y1^-1 * Y3 * Y1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1, Y3 * Y2 * Y3 * Y1 * Y3 * Y2 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 37, 4, 40)(2, 38, 6, 42)(3, 39, 8, 44)(5, 41, 12, 48)(7, 43, 15, 51)(9, 45, 17, 53)(10, 46, 18, 54)(11, 47, 19, 55)(13, 49, 21, 57)(14, 50, 22, 58)(16, 52, 23, 59)(20, 56, 27, 63)(24, 60, 31, 67)(25, 61, 32, 68)(26, 62, 33, 69)(28, 64, 34, 70)(29, 65, 35, 71)(30, 66, 36, 72)(73, 74, 77, 83, 79, 75)(76, 81, 84, 92, 87, 82)(78, 85, 91, 88, 80, 86)(89, 96, 99, 98, 90, 97)(93, 100, 95, 102, 94, 101)(103, 106, 105, 108, 104, 107)(109, 111, 115, 119, 113, 110)(112, 118, 123, 128, 120, 117)(114, 122, 116, 124, 127, 121)(125, 133, 126, 134, 135, 132)(129, 137, 130, 138, 131, 136)(139, 143, 140, 144, 141, 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) :: { ( 8^4 ), ( 8^6 ) }
Outer automorphisms :: reflexible
Dual of E13.718
Graph:: simple bipartite
	v = 30 e = 72 f = 18
	degree seq :: [ 4^18, 6^12 ]

E13.717 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 6, 6})
Quotient :: loop^2
Aut^+ = C6 x S3 (small group id <36, 12>)
Aut   = C2 x C6 x S3 (small group id <72, 48>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y1^-1 * Y2^-1, R * Y1 * R * Y2, (R * Y3)^2, Y1 * Y2^-2 * Y1^2 * Y2^-1, Y1^6, Y2^6, (Y3 * Y1^-3)^2, Y2^2 * Y3 * Y1 * Y2^-2 * Y3 * Y1^-1, Y3 * Y1 * Y3 * Y1 * Y3 * Y1^-1 * Y3 * Y1^-1, Y3 * Y2 * Y3 * Y1 * Y3 * Y2^-1 * Y3 * Y1^-1, Y3 * Y2 * Y3 * Y2 * Y3 * Y2^-1 * Y3 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 37, 73, 109, 4, 40, 76, 112)(2, 38, 74, 110, 6, 42, 78, 114)(3, 39, 75, 111, 8, 44, 80, 116)(5, 41, 77, 113, 12, 48, 84, 120)(7, 43, 79, 115, 15, 51, 87, 123)(9, 45, 81, 117, 19, 55, 91, 127)(10, 46, 82, 118, 21, 57, 93, 129)(11, 47, 83, 119, 22, 58, 94, 130)(13, 49, 85, 121, 26, 62, 98, 134)(14, 50, 86, 122, 28, 64, 100, 136)(16, 52, 88, 124, 29, 65, 101, 137)(17, 53, 89, 125, 30, 66, 102, 138)(18, 54, 90, 126, 31, 67, 103, 139)(20, 56, 92, 128, 32, 68, 104, 140)(23, 59, 95, 131, 33, 69, 105, 141)(24, 60, 96, 132, 34, 70, 106, 142)(25, 61, 97, 133, 35, 71, 107, 143)(27, 63, 99, 135, 36, 72, 108, 144)
	L = (1, 38)(2, 41)(3, 37)(4, 45)(5, 47)(6, 49)(7, 39)(8, 52)(9, 54)(10, 40)(11, 43)(12, 59)(13, 61)(14, 42)(15, 63)(16, 60)(17, 44)(18, 58)(19, 62)(20, 46)(21, 64)(22, 56)(23, 53)(24, 48)(25, 51)(26, 69)(27, 50)(28, 70)(29, 55)(30, 57)(31, 71)(32, 72)(33, 68)(34, 67)(35, 66)(36, 65)(73, 111)(74, 109)(75, 115)(76, 118)(77, 110)(78, 122)(79, 119)(80, 125)(81, 112)(82, 128)(83, 113)(84, 132)(85, 114)(86, 135)(87, 133)(88, 116)(89, 131)(90, 117)(91, 137)(92, 130)(93, 138)(94, 126)(95, 120)(96, 124)(97, 121)(98, 127)(99, 123)(100, 129)(101, 144)(102, 143)(103, 142)(104, 141)(105, 134)(106, 136)(107, 139)(108, 140)
	local type(s) :: { ( 4, 6, 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible
Dual of E13.715
Transitivity :: VT+
Graph:: bipartite
	v = 18 e = 72 f = 30
	degree seq :: [ 8^18 ]

E13.718 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 6, 6})
Quotient :: loop^2
Aut^+ = C6 x S3 (small group id <36, 12>)
Aut   = C2 x C6 x S3 (small group id <72, 48>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y1^-1 * Y2^-1, (R * Y3)^2, R * Y1 * R * Y2, Y1^6, Y2 * Y3 * Y1 * Y2^-1 * Y3 * Y1^-1, Y3 * Y1^2 * Y3 * Y1^-2, Y3 * Y2^2 * Y3 * Y2^-2, Y2^6, Y3 * Y1 * Y3 * Y1^-1 * Y3 * Y1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1, Y3 * Y2 * Y3 * Y1 * Y3 * Y2 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 37, 73, 109, 4, 40, 76, 112)(2, 38, 74, 110, 6, 42, 78, 114)(3, 39, 75, 111, 8, 44, 80, 116)(5, 41, 77, 113, 12, 48, 84, 120)(7, 43, 79, 115, 15, 51, 87, 123)(9, 45, 81, 117, 17, 53, 89, 125)(10, 46, 82, 118, 18, 54, 90, 126)(11, 47, 83, 119, 19, 55, 91, 127)(13, 49, 85, 121, 21, 57, 93, 129)(14, 50, 86, 122, 22, 58, 94, 130)(16, 52, 88, 124, 23, 59, 95, 131)(20, 56, 92, 128, 27, 63, 99, 135)(24, 60, 96, 132, 31, 67, 103, 139)(25, 61, 97, 133, 32, 68, 104, 140)(26, 62, 98, 134, 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, 37)(4, 45)(5, 47)(6, 49)(7, 39)(8, 50)(9, 48)(10, 40)(11, 43)(12, 56)(13, 55)(14, 42)(15, 46)(16, 44)(17, 60)(18, 61)(19, 52)(20, 51)(21, 64)(22, 65)(23, 66)(24, 63)(25, 53)(26, 54)(27, 62)(28, 59)(29, 57)(30, 58)(31, 70)(32, 71)(33, 72)(34, 69)(35, 67)(36, 68)(73, 111)(74, 109)(75, 115)(76, 118)(77, 110)(78, 122)(79, 119)(80, 124)(81, 112)(82, 123)(83, 113)(84, 117)(85, 114)(86, 116)(87, 128)(88, 127)(89, 133)(90, 134)(91, 121)(92, 120)(93, 137)(94, 138)(95, 136)(96, 125)(97, 126)(98, 135)(99, 132)(100, 129)(101, 130)(102, 131)(103, 143)(104, 144)(105, 142)(106, 139)(107, 140)(108, 141)
	local type(s) :: { ( 4, 6, 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible
Dual of E13.716
Transitivity :: VT+
Graph:: bipartite
	v = 18 e = 72 f = 30
	degree seq :: [ 8^18 ]

E13.719 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 6, 6})
Quotient :: dipole
Aut^+ = C2 x ((C3 x C3) : C2) (small group id <36, 13>)
Aut   = C2 x C2 x ((C3 x C3) : C2) (small group id <72, 49>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^3, (Y2 * Y1)^2, (Y3^-1 * Y1)^2, (R * Y1)^2, (R * Y2)^2, (R * Y3)^2, (Y3, Y2^-1), Y2^6 ]
Map:: non-degenerate
	R = (1, 37, 2, 38)(3, 39, 9, 45)(4, 40, 10, 46)(5, 41, 7, 43)(6, 42, 8, 44)(11, 47, 21, 57)(12, 48, 22, 58)(13, 49, 20, 56)(14, 50, 19, 55)(15, 51, 17, 53)(16, 52, 18, 54)(23, 59, 28, 64)(24, 60, 32, 68)(25, 61, 31, 67)(26, 62, 30, 66)(27, 63, 29, 65)(33, 69, 36, 72)(34, 70, 35, 71)(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) :: { ( 4, 12, 4, 12 ), ( 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible selfdual
Graph:: simple bipartite
	v = 24 e = 72 f = 24
	degree seq :: [ 4^18, 12^6 ]

E13.720 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {9, 9, 9})
Quotient :: edge
Aut^+ = (C2 x C2) : C9 (small group id <36, 3>)
Aut   = ((C2 x C2) : C9) : C2 (small group id <72, 15>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, T1 * T2^2 * T1 * T2^-1, (T1^-1 * T2^-1 * T1^-1)^2, T1^3 * T2^-3, (T1 * T2 * T1)^2, T1 * T2 * T1^-1 * T2^2 * T1^-1 * T2, T2^9, 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^-2 * T2^-1 ]
Map:: non-degenerate
	R = (1, 3, 10, 18, 35, 36, 31, 17, 5)(2, 7, 11, 28, 32, 25, 13, 24, 8)(4, 12, 20, 6, 19, 22, 33, 15, 14)(9, 26, 27, 23, 21, 30, 29, 34, 16)(37, 38, 42, 54, 64, 69, 67, 49, 40)(39, 45, 61, 71, 59, 44, 53, 65, 47)(41, 51, 63, 46, 48, 66, 72, 55, 52)(43, 57, 50, 68, 70, 56, 60, 62, 58)
	L = (1, 37)(2, 38)(3, 39)(4, 40)(5, 41)(6, 42)(7, 43)(8, 44)(9, 45)(10, 46)(11, 47)(12, 48)(13, 49)(14, 50)(15, 51)(16, 52)(17, 53)(18, 54)(19, 55)(20, 56)(21, 57)(22, 58)(23, 59)(24, 60)(25, 61)(26, 62)(27, 63)(28, 64)(29, 65)(30, 66)(31, 67)(32, 68)(33, 69)(34, 70)(35, 71)(36, 72)
	local type(s) :: { ( 18^9 ) }
Outer automorphisms :: reflexible
Dual of E13.721
Transitivity :: ET+
Graph:: bipartite
	v = 8 e = 36 f = 4
	degree seq :: [ 9^8 ]

E13.721 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {9, 9, 9})
Quotient :: loop
Aut^+ = (C2 x C2) : C9 (small group id <36, 3>)
Aut   = ((C2 x C2) : C9) : C2 (small group id <72, 15>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, (T2 * T1^-1)^2, T1^-1 * T2^3 * T1^-2, T2^2 * T1 * T2^-1 * T1^-2, T2 * T1^2 * T2^-2 * T1^-1, T2^9, T1^9, (T2^-1 * T1^-1)^9 ]
Map:: non-degenerate
	R = (1, 37, 3, 39, 10, 46, 16, 52, 29, 65, 34, 70, 24, 60, 15, 51, 5, 41)(2, 38, 7, 43, 20, 56, 28, 64, 36, 72, 25, 61, 12, 48, 22, 58, 8, 44)(4, 40, 11, 47, 18, 54, 6, 42, 17, 53, 31, 67, 33, 69, 27, 63, 13, 49)(9, 45, 19, 55, 30, 66, 35, 71, 26, 62, 14, 50, 21, 57, 32, 68, 23, 59)
	L = (1, 38)(2, 42)(3, 45)(4, 37)(5, 47)(6, 52)(7, 55)(8, 39)(9, 56)(10, 53)(11, 59)(12, 40)(13, 58)(14, 41)(15, 57)(16, 64)(17, 66)(18, 43)(19, 67)(20, 65)(21, 44)(22, 68)(23, 46)(24, 48)(25, 51)(26, 49)(27, 50)(28, 69)(29, 71)(30, 70)(31, 72)(32, 54)(33, 60)(34, 63)(35, 61)(36, 62)
	local type(s) :: { ( 9^18 ) }
Outer automorphisms :: reflexible
Dual of E13.720
Transitivity :: ET+ VT+ AT
Graph::
	v = 4 e = 36 f = 8
	degree seq :: [ 18^4 ]

E13.722 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {9, 9, 9})
Quotient :: dipole
Aut^+ = (C2 x C2) : C9 (small group id <36, 3>)
Aut   = ((C2 x C2) : C9) : C2 (small group id <72, 15>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1^-1, (R * Y1)^2, (R * Y3)^2, Y1 * Y2 * R * Y2^-1 * R, Y1^2 * Y2 * Y1^-1 * Y2, Y1 * Y2 * Y3 * Y2 * Y3^-1, (Y2 * Y1 * Y2)^2, (Y1 * Y2^2)^2, Y2^-2 * Y1 * Y3^-2 * Y2^-1, (Y1 * Y2^2)^2, Y1 * Y2^-1 * R * Y2^-2 * R * Y2, Y1 * Y2^-1 * Y1 * Y2 * Y3^-1 * Y2^-1 * Y3^-1, Y1 * Y3^-2 * Y2^6, Y1^9, (Y3 * Y2^-1)^9 ]
Map::
	R = (1, 37, 2, 38, 6, 42, 18, 54, 35, 71, 36, 72, 31, 67, 13, 49, 4, 40)(3, 39, 9, 45, 8, 44, 22, 58, 34, 70, 21, 57, 17, 53, 28, 64, 11, 47)(5, 41, 15, 51, 27, 63, 10, 46, 26, 62, 25, 61, 30, 66, 12, 48, 16, 52)(7, 43, 20, 56, 19, 55, 29, 65, 24, 60, 33, 69, 23, 59, 32, 68, 14, 50)(73, 109, 75, 111, 82, 118, 90, 126, 94, 130, 102, 138, 103, 139, 89, 125, 77, 113)(74, 110, 79, 115, 93, 129, 107, 143, 101, 137, 83, 119, 85, 121, 95, 131, 80, 116)(76, 112, 84, 120, 91, 127, 78, 114, 87, 123, 105, 141, 108, 144, 98, 134, 86, 122)(81, 117, 96, 132, 88, 124, 106, 142, 104, 140, 99, 135, 100, 136, 92, 128, 97, 133)
	L = (1, 76)(2, 73)(3, 83)(4, 85)(5, 88)(6, 74)(7, 86)(8, 81)(9, 75)(10, 99)(11, 100)(12, 102)(13, 103)(14, 104)(15, 77)(16, 84)(17, 93)(18, 78)(19, 92)(20, 79)(21, 106)(22, 80)(23, 105)(24, 101)(25, 98)(26, 82)(27, 87)(28, 89)(29, 91)(30, 97)(31, 108)(32, 95)(33, 96)(34, 94)(35, 90)(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) :: { ( 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18 ) }
Outer automorphisms :: reflexible
Dual of E13.723
Graph:: bipartite
	v = 8 e = 72 f = 40
	degree seq :: [ 18^8 ]

E13.723 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {9, 9, 9})
Quotient :: dipole
Aut^+ = (C2 x C2) : C9 (small group id <36, 3>)
Aut   = ((C2 x C2) : C9) : C2 (small group id <72, 15>)
|r| :: 2
Presentation :: [ Y1, R^2, (Y3^-1 * Y2^-1)^2, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y2^-1 * Y3^-3 * Y2^-2, R * Y3^2 * Y2 * R * Y2^-1, Y3 * Y2^-1 * Y3^-1 * Y2 * Y3^-1 * Y2^-1, Y3^-3 * Y2^6, Y2^-1 * Y3 * Y2^-2 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1, (Y3^-1 * Y1^-1)^9 ]
Map::
	R = (1, 37)(2, 38)(3, 39)(4, 40)(5, 41)(6, 42)(7, 43)(8, 44)(9, 45)(10, 46)(11, 47)(12, 48)(13, 49)(14, 50)(15, 51)(16, 52)(17, 53)(18, 54)(19, 55)(20, 56)(21, 57)(22, 58)(23, 59)(24, 60)(25, 61)(26, 62)(27, 63)(28, 64)(29, 65)(30, 66)(31, 67)(32, 68)(33, 69)(34, 70)(35, 71)(36, 72)(73, 109, 74, 110, 78, 114, 88, 124, 100, 136, 106, 142, 96, 132, 85, 121, 76, 112)(75, 111, 81, 117, 95, 131, 87, 123, 90, 126, 103, 139, 105, 141, 99, 135, 83, 119)(77, 113, 86, 122, 94, 130, 101, 137, 108, 144, 97, 133, 82, 118, 92, 128, 79, 115)(80, 116, 93, 129, 104, 140, 107, 143, 98, 134, 84, 120, 91, 127, 102, 138, 89, 125)
	L = (1, 75)(2, 79)(3, 82)(4, 84)(5, 73)(6, 89)(7, 91)(8, 74)(9, 76)(10, 96)(11, 98)(12, 99)(13, 97)(14, 95)(15, 77)(16, 87)(17, 81)(18, 78)(19, 85)(20, 83)(21, 86)(22, 80)(23, 102)(24, 105)(25, 107)(26, 108)(27, 106)(28, 94)(29, 88)(30, 92)(31, 93)(32, 90)(33, 101)(34, 104)(35, 100)(36, 103)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 18, 18 ), ( 18^18 ) }
Outer automorphisms :: reflexible
Dual of E13.722
Graph:: simple bipartite
	v = 40 e = 72 f = 8
	degree seq :: [ 2^36, 18^4 ]

E13.724 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {6, 12, 12})
Quotient :: edge
Aut^+ = C3 x (C3 : C4) (small group id <36, 6>)
Aut   = (C6 x S3) : C2 (small group id <72, 23>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, T2 * T1^-1 * T2^-1 * T1^-1, T1^6, T1^-1 * T2^3 * T1 * T2^3 * T1^-1, T2^12 ]
Map:: non-degenerate
	R = (1, 3, 10, 21, 33, 26, 14, 25, 36, 24, 13, 5)(2, 7, 17, 29, 34, 22, 11, 19, 31, 30, 18, 8)(4, 9, 20, 32, 28, 16, 6, 15, 27, 35, 23, 12)(37, 38, 42, 50, 47, 40)(39, 45, 55, 61, 51, 43)(41, 48, 58, 62, 52, 44)(46, 53, 63, 72, 67, 56)(49, 54, 64, 69, 70, 59)(57, 68, 66, 60, 71, 65)
	L = (1, 37)(2, 38)(3, 39)(4, 40)(5, 41)(6, 42)(7, 43)(8, 44)(9, 45)(10, 46)(11, 47)(12, 48)(13, 49)(14, 50)(15, 51)(16, 52)(17, 53)(18, 54)(19, 55)(20, 56)(21, 57)(22, 58)(23, 59)(24, 60)(25, 61)(26, 62)(27, 63)(28, 64)(29, 65)(30, 66)(31, 67)(32, 68)(33, 69)(34, 70)(35, 71)(36, 72)
	local type(s) :: { ( 24^6 ), ( 24^12 ) }
Outer automorphisms :: reflexible
Dual of E13.726
Transitivity :: ET+
Graph:: bipartite
	v = 9 e = 36 f = 3
	degree seq :: [ 6^6, 12^3 ]

E13.725 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {6, 12, 12})
Quotient :: edge
Aut^+ = C3 x (C3 : C4) (small group id <36, 6>)
Aut   = (C6 x S3) : C2 (small group id <72, 23>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, T1^2 * T2 * T1^-1 * T2, T1 * T2^-2 * T1^-1 * T2^2, T1^6, T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-2 ]
Map:: non-degenerate
	R = (1, 3, 10, 26, 35, 30, 18, 22, 34, 20, 17, 5)(2, 7, 21, 16, 29, 11, 13, 31, 36, 32, 23, 8)(4, 12, 27, 28, 33, 19, 6, 15, 25, 9, 24, 14)(37, 38, 42, 54, 49, 40)(39, 45, 44, 58, 64, 47)(41, 51, 68, 66, 48, 52)(43, 56, 55, 67, 62, 50)(46, 57, 61, 70, 72, 63)(53, 59, 69, 71, 65, 60)
	L = (1, 37)(2, 38)(3, 39)(4, 40)(5, 41)(6, 42)(7, 43)(8, 44)(9, 45)(10, 46)(11, 47)(12, 48)(13, 49)(14, 50)(15, 51)(16, 52)(17, 53)(18, 54)(19, 55)(20, 56)(21, 57)(22, 58)(23, 59)(24, 60)(25, 61)(26, 62)(27, 63)(28, 64)(29, 65)(30, 66)(31, 67)(32, 68)(33, 69)(34, 70)(35, 71)(36, 72)
	local type(s) :: { ( 24^6 ), ( 24^12 ) }
Outer automorphisms :: reflexible
Dual of E13.727
Transitivity :: ET+
Graph:: bipartite
	v = 9 e = 36 f = 3
	degree seq :: [ 6^6, 12^3 ]

E13.726 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {6, 12, 12})
Quotient :: loop
Aut^+ = C3 x (C3 : C4) (small group id <36, 6>)
Aut   = (C6 x S3) : C2 (small group id <72, 23>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, T2 * T1^-1 * T2^-1 * T1^-1, T1^6, T1^-1 * T2^3 * T1 * T2^3 * T1^-1, T2^12 ]
Map:: non-degenerate
	R = (1, 37, 3, 39, 10, 46, 21, 57, 33, 69, 26, 62, 14, 50, 25, 61, 36, 72, 24, 60, 13, 49, 5, 41)(2, 38, 7, 43, 17, 53, 29, 65, 34, 70, 22, 58, 11, 47, 19, 55, 31, 67, 30, 66, 18, 54, 8, 44)(4, 40, 9, 45, 20, 56, 32, 68, 28, 64, 16, 52, 6, 42, 15, 51, 27, 63, 35, 71, 23, 59, 12, 48)
	L = (1, 38)(2, 42)(3, 45)(4, 37)(5, 48)(6, 50)(7, 39)(8, 41)(9, 55)(10, 53)(11, 40)(12, 58)(13, 54)(14, 47)(15, 43)(16, 44)(17, 63)(18, 64)(19, 61)(20, 46)(21, 68)(22, 62)(23, 49)(24, 71)(25, 51)(26, 52)(27, 72)(28, 69)(29, 57)(30, 60)(31, 56)(32, 66)(33, 70)(34, 59)(35, 65)(36, 67)
	local type(s) :: { ( 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12 ) }
Outer automorphisms :: reflexible
Dual of E13.724
Transitivity :: ET+ VT+ AT
Graph::
	v = 3 e = 36 f = 9
	degree seq :: [ 24^3 ]

E13.727 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {6, 12, 12})
Quotient :: loop
Aut^+ = C3 x (C3 : C4) (small group id <36, 6>)
Aut   = (C6 x S3) : C2 (small group id <72, 23>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, T1^2 * T2 * T1^-1 * T2, T1 * T2^-2 * T1^-1 * T2^2, T1^6, T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-2 ]
Map:: non-degenerate
	R = (1, 37, 3, 39, 10, 46, 26, 62, 35, 71, 30, 66, 18, 54, 22, 58, 34, 70, 20, 56, 17, 53, 5, 41)(2, 38, 7, 43, 21, 57, 16, 52, 29, 65, 11, 47, 13, 49, 31, 67, 36, 72, 32, 68, 23, 59, 8, 44)(4, 40, 12, 48, 27, 63, 28, 64, 33, 69, 19, 55, 6, 42, 15, 51, 25, 61, 9, 45, 24, 60, 14, 50)
	L = (1, 38)(2, 42)(3, 45)(4, 37)(5, 51)(6, 54)(7, 56)(8, 58)(9, 44)(10, 57)(11, 39)(12, 52)(13, 40)(14, 43)(15, 68)(16, 41)(17, 59)(18, 49)(19, 67)(20, 55)(21, 61)(22, 64)(23, 69)(24, 53)(25, 70)(26, 50)(27, 46)(28, 47)(29, 60)(30, 48)(31, 62)(32, 66)(33, 71)(34, 72)(35, 65)(36, 63)
	local type(s) :: { ( 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12 ) }
Outer automorphisms :: reflexible
Dual of E13.725
Transitivity :: ET+ VT+ AT
Graph::
	v = 3 e = 36 f = 9
	degree seq :: [ 24^3 ]

E13.728 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {6, 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, Y3^-1 * Y1^-1, Y3 * Y2 * Y1^-1 * Y2^-1, (R * Y1)^2, (R * Y3)^2, Y2 * Y3 * Y2^-1 * Y1^-1, (R * Y2 * Y3^-1)^2, Y1^6, Y2 * Y3 * Y2^2 * Y3 * Y2^3 * Y3^-1, Y1 * Y2^2 * Y1^2 * Y2^4, (Y2^-1 * Y1)^12 ]
Map::
	R = (1, 37, 2, 38, 6, 42, 14, 50, 11, 47, 4, 40)(3, 39, 9, 45, 19, 55, 25, 61, 15, 51, 7, 43)(5, 41, 12, 48, 22, 58, 26, 62, 16, 52, 8, 44)(10, 46, 17, 53, 27, 63, 36, 72, 31, 67, 20, 56)(13, 49, 18, 54, 28, 64, 33, 69, 34, 70, 23, 59)(21, 57, 32, 68, 30, 66, 24, 60, 35, 71, 29, 65)(73, 109, 75, 111, 82, 118, 93, 129, 105, 141, 98, 134, 86, 122, 97, 133, 108, 144, 96, 132, 85, 121, 77, 113)(74, 110, 79, 115, 89, 125, 101, 137, 106, 142, 94, 130, 83, 119, 91, 127, 103, 139, 102, 138, 90, 126, 80, 116)(76, 112, 81, 117, 92, 128, 104, 140, 100, 136, 88, 124, 78, 114, 87, 123, 99, 135, 107, 143, 95, 131, 84, 120)
	L = (1, 76)(2, 73)(3, 79)(4, 83)(5, 80)(6, 74)(7, 87)(8, 88)(9, 75)(10, 92)(11, 86)(12, 77)(13, 95)(14, 78)(15, 97)(16, 98)(17, 82)(18, 85)(19, 81)(20, 103)(21, 101)(22, 84)(23, 106)(24, 102)(25, 91)(26, 94)(27, 89)(28, 90)(29, 107)(30, 104)(31, 108)(32, 93)(33, 100)(34, 105)(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) :: { ( 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24 ), ( 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 E13.730
Graph:: bipartite
	v = 9 e = 72 f = 39
	degree seq :: [ 12^6, 24^3 ]

E13.729 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {6, 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, Y3^-1 * Y1^-1, (R * Y1)^2, (R * Y3)^2, Y1 * Y2 * R * Y2^-1 * R, Y1 * Y2 * Y3 * Y2 * Y3^-1, Y1^2 * Y2 * Y1^-1 * Y2, Y1^-1 * Y2^-1 * Y3 * Y2^-3, (Y3 * Y1^-1 * Y3)^2, Y3 * Y2^-1 * Y1^-1 * Y2^-3, Y3 * Y2^-3 * Y1^-1 * Y2^-1, Y1^3 * Y3^-1 * Y1 * Y3^-1, Y2^12 ]
Map::
	R = (1, 37, 2, 38, 6, 42, 18, 54, 13, 49, 4, 40)(3, 39, 9, 45, 8, 44, 22, 58, 28, 64, 11, 47)(5, 41, 15, 51, 32, 68, 30, 66, 12, 48, 16, 52)(7, 43, 20, 56, 19, 55, 31, 67, 26, 62, 14, 50)(10, 46, 21, 57, 25, 61, 34, 70, 36, 72, 27, 63)(17, 53, 23, 59, 33, 69, 35, 71, 29, 65, 24, 60)(73, 109, 75, 111, 82, 118, 98, 134, 107, 143, 102, 138, 90, 126, 94, 130, 106, 142, 92, 128, 89, 125, 77, 113)(74, 110, 79, 115, 93, 129, 88, 124, 101, 137, 83, 119, 85, 121, 103, 139, 108, 144, 104, 140, 95, 131, 80, 116)(76, 112, 84, 120, 99, 135, 100, 136, 105, 141, 91, 127, 78, 114, 87, 123, 97, 133, 81, 117, 96, 132, 86, 122)
	L = (1, 76)(2, 73)(3, 83)(4, 85)(5, 88)(6, 74)(7, 86)(8, 81)(9, 75)(10, 99)(11, 100)(12, 102)(13, 90)(14, 98)(15, 77)(16, 84)(17, 96)(18, 78)(19, 92)(20, 79)(21, 82)(22, 80)(23, 89)(24, 101)(25, 93)(26, 103)(27, 108)(28, 94)(29, 107)(30, 104)(31, 91)(32, 87)(33, 95)(34, 97)(35, 105)(36, 106)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24 ), ( 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 E13.731
Graph:: bipartite
	v = 9 e = 72 f = 39
	degree seq :: [ 12^6, 24^3 ]

E13.730 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {6, 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, R^2, Y1 * Y3^-1 * Y1^-1 * Y3^-1, Y3 * Y1 * Y3 * Y1^-1, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, Y3^6, Y1 * Y3 * Y1 * Y3^-1 * Y1^4 * Y3^-1, (Y3 * Y2^-1)^6 ]
Map::
	R = (1, 37, 2, 38, 6, 42, 14, 50, 25, 61, 31, 67, 19, 55, 30, 66, 36, 72, 24, 60, 12, 48, 4, 40)(3, 39, 8, 44, 15, 51, 27, 63, 34, 70, 22, 58, 13, 49, 17, 53, 29, 65, 33, 69, 21, 57, 10, 46)(5, 41, 7, 43, 16, 52, 26, 62, 32, 68, 20, 56, 9, 45, 18, 54, 28, 64, 35, 71, 23, 59, 11, 47)(73, 109)(74, 110)(75, 111)(76, 112)(77, 113)(78, 114)(79, 115)(80, 116)(81, 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, 130)(95, 131)(96, 132)(97, 133)(98, 134)(99, 135)(100, 136)(101, 137)(102, 138)(103, 139)(104, 140)(105, 141)(106, 142)(107, 143)(108, 144)
	L = (1, 75)(2, 79)(3, 81)(4, 83)(5, 73)(6, 87)(7, 89)(8, 74)(9, 91)(10, 76)(11, 94)(12, 93)(13, 77)(14, 98)(15, 100)(16, 78)(17, 102)(18, 80)(19, 85)(20, 82)(21, 104)(22, 103)(23, 84)(24, 107)(25, 106)(26, 105)(27, 86)(28, 108)(29, 88)(30, 90)(31, 92)(32, 97)(33, 96)(34, 95)(35, 99)(36, 101)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 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 E13.728
Graph:: simple bipartite
	v = 39 e = 72 f = 9
	degree seq :: [ 2^36, 24^3 ]

E13.731 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {6, 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, R^2, (R * Y1)^2, (R * Y3)^2, Y1 * Y3^2 * Y1 * Y3^-1, Y3^6, (R * Y2 * Y3^-1)^2, Y1 * Y3 * Y1 * Y3 * Y1^2, Y3 * Y1^-2 * Y3^-1 * Y1^2, Y3 * Y1^-1 * Y3 * Y1^5, (Y3 * Y2^-1)^6 ]
Map::
	R = (1, 37, 2, 38, 6, 42, 18, 54, 33, 69, 31, 67, 26, 62, 28, 64, 35, 71, 25, 61, 13, 49, 4, 40)(3, 39, 9, 45, 19, 55, 14, 50, 23, 59, 8, 44, 17, 53, 32, 68, 34, 70, 30, 66, 29, 65, 11, 47)(5, 41, 15, 51, 20, 56, 24, 60, 36, 72, 27, 63, 10, 46, 12, 48, 22, 58, 7, 43, 21, 57, 16, 52)(73, 109)(74, 110)(75, 111)(76, 112)(77, 113)(78, 114)(79, 115)(80, 116)(81, 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, 130)(95, 131)(96, 132)(97, 133)(98, 134)(99, 135)(100, 136)(101, 137)(102, 138)(103, 139)(104, 140)(105, 141)(106, 142)(107, 143)(108, 144)
	L = (1, 75)(2, 79)(3, 82)(4, 84)(5, 73)(6, 91)(7, 83)(8, 74)(9, 97)(10, 98)(11, 100)(12, 102)(13, 101)(14, 76)(15, 86)(16, 81)(17, 77)(18, 88)(19, 94)(20, 78)(21, 85)(22, 107)(23, 93)(24, 80)(25, 99)(26, 89)(27, 104)(28, 96)(29, 108)(30, 103)(31, 87)(32, 90)(33, 95)(34, 92)(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) :: { ( 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 E13.729
Graph:: simple bipartite
	v = 39 e = 72 f = 9
	degree seq :: [ 2^36, 24^3 ]

E13.732 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {6, 12, 12})
Quotient :: edge
Aut^+ = C12 x C3 (small group id <36, 8>)
Aut   = (C12 x C3) : C2 (small group id <72, 33>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, (T2^-1, T1^-1), T1^-6, T1^6, T2^6 * T1^3 ]
Map:: non-degenerate
	R = (1, 3, 9, 19, 31, 26, 14, 25, 36, 24, 13, 5)(2, 7, 17, 29, 34, 22, 11, 21, 33, 30, 18, 8)(4, 10, 20, 32, 28, 16, 6, 15, 27, 35, 23, 12)(37, 38, 42, 50, 47, 40)(39, 43, 51, 61, 57, 46)(41, 44, 52, 62, 58, 48)(45, 53, 63, 72, 69, 56)(49, 54, 64, 67, 70, 59)(55, 65, 71, 60, 66, 68)
	L = (1, 37)(2, 38)(3, 39)(4, 40)(5, 41)(6, 42)(7, 43)(8, 44)(9, 45)(10, 46)(11, 47)(12, 48)(13, 49)(14, 50)(15, 51)(16, 52)(17, 53)(18, 54)(19, 55)(20, 56)(21, 57)(22, 58)(23, 59)(24, 60)(25, 61)(26, 62)(27, 63)(28, 64)(29, 65)(30, 66)(31, 67)(32, 68)(33, 69)(34, 70)(35, 71)(36, 72)
	local type(s) :: { ( 24^6 ), ( 24^12 ) }
Outer automorphisms :: reflexible
Dual of E13.733
Transitivity :: ET+
Graph:: bipartite
	v = 9 e = 36 f = 3
	degree seq :: [ 6^6, 12^3 ]

E13.733 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {6, 12, 12})
Quotient :: loop
Aut^+ = C12 x C3 (small group id <36, 8>)
Aut   = (C12 x C3) : C2 (small group id <72, 33>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, (T2^-1, T1^-1), T1^-6, T1^6, T2^6 * T1^3 ]
Map:: non-degenerate
	R = (1, 37, 3, 39, 9, 45, 19, 55, 31, 67, 26, 62, 14, 50, 25, 61, 36, 72, 24, 60, 13, 49, 5, 41)(2, 38, 7, 43, 17, 53, 29, 65, 34, 70, 22, 58, 11, 47, 21, 57, 33, 69, 30, 66, 18, 54, 8, 44)(4, 40, 10, 46, 20, 56, 32, 68, 28, 64, 16, 52, 6, 42, 15, 51, 27, 63, 35, 71, 23, 59, 12, 48)
	L = (1, 38)(2, 42)(3, 43)(4, 37)(5, 44)(6, 50)(7, 51)(8, 52)(9, 53)(10, 39)(11, 40)(12, 41)(13, 54)(14, 47)(15, 61)(16, 62)(17, 63)(18, 64)(19, 65)(20, 45)(21, 46)(22, 48)(23, 49)(24, 66)(25, 57)(26, 58)(27, 72)(28, 67)(29, 71)(30, 68)(31, 70)(32, 55)(33, 56)(34, 59)(35, 60)(36, 69)
	local type(s) :: { ( 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12 ) }
Outer automorphisms :: reflexible
Dual of E13.732
Transitivity :: ET+ VT+ AT
Graph::
	v = 3 e = 36 f = 9
	degree seq :: [ 24^3 ]

E13.734 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {6, 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, Y3^-1 * Y1^-1, Y1 * Y3, (Y3^-1, Y2^-1), (R * Y1)^2, (R * Y2)^2, (Y2^-1, Y1^-1), (R * Y3)^2, Y1^6, Y2^6 * Y1^3, Y2^-1 * Y3^2 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 ]
Map::
	R = (1, 37, 2, 38, 6, 42, 14, 50, 11, 47, 4, 40)(3, 39, 7, 43, 15, 51, 25, 61, 21, 57, 10, 46)(5, 41, 8, 44, 16, 52, 26, 62, 22, 58, 12, 48)(9, 45, 17, 53, 27, 63, 36, 72, 33, 69, 20, 56)(13, 49, 18, 54, 28, 64, 31, 67, 34, 70, 23, 59)(19, 55, 29, 65, 35, 71, 24, 60, 30, 66, 32, 68)(73, 109, 75, 111, 81, 117, 91, 127, 103, 139, 98, 134, 86, 122, 97, 133, 108, 144, 96, 132, 85, 121, 77, 113)(74, 110, 79, 115, 89, 125, 101, 137, 106, 142, 94, 130, 83, 119, 93, 129, 105, 141, 102, 138, 90, 126, 80, 116)(76, 112, 82, 118, 92, 128, 104, 140, 100, 136, 88, 124, 78, 114, 87, 123, 99, 135, 107, 143, 95, 131, 84, 120)
	L = (1, 76)(2, 73)(3, 82)(4, 83)(5, 84)(6, 74)(7, 75)(8, 77)(9, 92)(10, 93)(11, 86)(12, 94)(13, 95)(14, 78)(15, 79)(16, 80)(17, 81)(18, 85)(19, 104)(20, 105)(21, 97)(22, 98)(23, 106)(24, 107)(25, 87)(26, 88)(27, 89)(28, 90)(29, 91)(30, 96)(31, 100)(32, 102)(33, 108)(34, 103)(35, 101)(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) :: { ( 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24 ), ( 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 E13.735
Graph:: bipartite
	v = 9 e = 72 f = 39
	degree seq :: [ 12^6, 24^3 ]

E13.735 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {6, 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, R^2, (R * Y1)^2, (R * Y3)^2, (Y3^-1, Y1^-1), Y3^6, (R * Y2 * Y3^-1)^2, Y3^6, Y3^3 * Y1^6, (Y3 * Y2^-1)^6 ]
Map::
	R = (1, 37, 2, 38, 6, 42, 14, 50, 25, 61, 31, 67, 19, 55, 30, 66, 34, 70, 22, 58, 11, 47, 4, 40)(3, 39, 7, 43, 15, 51, 26, 62, 36, 72, 24, 60, 13, 49, 18, 54, 29, 65, 33, 69, 21, 57, 10, 46)(5, 41, 8, 44, 16, 52, 27, 63, 32, 68, 20, 56, 9, 45, 17, 53, 28, 64, 35, 71, 23, 59, 12, 48)(73, 109)(74, 110)(75, 111)(76, 112)(77, 113)(78, 114)(79, 115)(80, 116)(81, 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, 130)(95, 131)(96, 132)(97, 133)(98, 134)(99, 135)(100, 136)(101, 137)(102, 138)(103, 139)(104, 140)(105, 141)(106, 142)(107, 143)(108, 144)
	L = (1, 75)(2, 79)(3, 81)(4, 82)(5, 73)(6, 87)(7, 89)(8, 74)(9, 91)(10, 92)(11, 93)(12, 76)(13, 77)(14, 98)(15, 100)(16, 78)(17, 102)(18, 80)(19, 85)(20, 103)(21, 104)(22, 105)(23, 83)(24, 84)(25, 108)(26, 107)(27, 86)(28, 106)(29, 88)(30, 90)(31, 96)(32, 97)(33, 99)(34, 101)(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) :: { ( 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 E13.734
Graph:: simple bipartite
	v = 39 e = 72 f = 9
	degree seq :: [ 2^36, 24^3 ]

E13.736 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {4, 18, 36})
Quotient :: edge
Aut^+ = C36 (small group id <36, 2>)
Aut   = D72 (small group id <72, 6>)
|r| :: 2
Presentation :: [ F^2, T1^4, (F * T2)^2, (F * T1)^2, (T2^-1, T1^-1), T2^-9 * T1^2 ]
Map:: non-degenerate
	R = (1, 3, 9, 17, 25, 33, 30, 22, 14, 6, 13, 21, 29, 36, 28, 20, 12, 5)(2, 7, 15, 23, 31, 35, 27, 19, 11, 4, 10, 18, 26, 34, 32, 24, 16, 8)(37, 38, 42, 40)(39, 43, 49, 46)(41, 44, 50, 47)(45, 51, 57, 54)(48, 52, 58, 55)(53, 59, 65, 62)(56, 60, 66, 63)(61, 67, 72, 70)(64, 68, 69, 71)
	L = (1, 37)(2, 38)(3, 39)(4, 40)(5, 41)(6, 42)(7, 43)(8, 44)(9, 45)(10, 46)(11, 47)(12, 48)(13, 49)(14, 50)(15, 51)(16, 52)(17, 53)(18, 54)(19, 55)(20, 56)(21, 57)(22, 58)(23, 59)(24, 60)(25, 61)(26, 62)(27, 63)(28, 64)(29, 65)(30, 66)(31, 67)(32, 68)(33, 69)(34, 70)(35, 71)(36, 72)
	local type(s) :: { ( 72^4 ), ( 72^18 ) }
Outer automorphisms :: reflexible
Dual of E13.740
Transitivity :: ET+
Graph:: bipartite
	v = 11 e = 36 f = 1
	degree seq :: [ 4^9, 18^2 ]

E13.737 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {4, 18, 36})
Quotient :: edge
Aut^+ = C36 (small group id <36, 2>)
Aut   = D72 (small group id <72, 6>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, (T1^-1, T2), T1^-4 * T2^-4, T1^7 * T2^-2, T2^-1 * T1 * T2^-2 * T1 * T2^-3 * T1, T2^36 ]
Map:: non-degenerate
	R = (1, 3, 9, 19, 33, 28, 14, 27, 24, 12, 4, 10, 20, 34, 30, 16, 6, 15, 29, 23, 11, 21, 35, 32, 18, 8, 2, 7, 17, 31, 22, 36, 26, 25, 13, 5)(37, 38, 42, 50, 62, 71, 56, 45, 53, 65, 60, 49, 54, 66, 69, 58, 47, 40)(39, 43, 51, 63, 61, 68, 70, 55, 67, 59, 48, 41, 44, 52, 64, 72, 57, 46)
	L = (1, 37)(2, 38)(3, 39)(4, 40)(5, 41)(6, 42)(7, 43)(8, 44)(9, 45)(10, 46)(11, 47)(12, 48)(13, 49)(14, 50)(15, 51)(16, 52)(17, 53)(18, 54)(19, 55)(20, 56)(21, 57)(22, 58)(23, 59)(24, 60)(25, 61)(26, 62)(27, 63)(28, 64)(29, 65)(30, 66)(31, 67)(32, 68)(33, 69)(34, 70)(35, 71)(36, 72)
	local type(s) :: { ( 8^18 ), ( 8^36 ) }
Outer automorphisms :: reflexible
Dual of E13.741
Transitivity :: ET+
Graph:: bipartite
	v = 3 e = 36 f = 9
	degree seq :: [ 18^2, 36 ]

E13.738 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {4, 18, 36})
Quotient :: edge
Aut^+ = C36 (small group id <36, 2>)
Aut   = D72 (small group id <72, 6>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, T2^4, (F * T2)^2, (T2^-1, T1^-1), T2 * T1^-9, (T1^-1 * T2^-1)^18 ]
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, 36, 31)(27, 29, 35, 34)(37, 38, 42, 49, 57, 65, 62, 54, 46, 39, 43, 50, 58, 66, 71, 69, 61, 53, 45, 52, 60, 68, 72, 70, 64, 56, 48, 41, 44, 51, 59, 67, 63, 55, 47, 40)
	L = (1, 37)(2, 38)(3, 39)(4, 40)(5, 41)(6, 42)(7, 43)(8, 44)(9, 45)(10, 46)(11, 47)(12, 48)(13, 49)(14, 50)(15, 51)(16, 52)(17, 53)(18, 54)(19, 55)(20, 56)(21, 57)(22, 58)(23, 59)(24, 60)(25, 61)(26, 62)(27, 63)(28, 64)(29, 65)(30, 66)(31, 67)(32, 68)(33, 69)(34, 70)(35, 71)(36, 72)
	local type(s) :: { ( 36^4 ), ( 36^36 ) }
Outer automorphisms :: reflexible
Dual of E13.739
Transitivity :: ET+
Graph:: bipartite
	v = 10 e = 36 f = 2
	degree seq :: [ 4^9, 36 ]

E13.739 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {4, 18, 36})
Quotient :: loop
Aut^+ = C36 (small group id <36, 2>)
Aut   = D72 (small group id <72, 6>)
|r| :: 2
Presentation :: [ F^2, T1^4, (F * T2)^2, (F * T1)^2, (T2^-1, T1^-1), T2^-9 * T1^2 ]
Map:: non-degenerate
	R = (1, 37, 3, 39, 9, 45, 17, 53, 25, 61, 33, 69, 30, 66, 22, 58, 14, 50, 6, 42, 13, 49, 21, 57, 29, 65, 36, 72, 28, 64, 20, 56, 12, 48, 5, 41)(2, 38, 7, 43, 15, 51, 23, 59, 31, 67, 35, 71, 27, 63, 19, 55, 11, 47, 4, 40, 10, 46, 18, 54, 26, 62, 34, 70, 32, 68, 24, 60, 16, 52, 8, 44)
	L = (1, 38)(2, 42)(3, 43)(4, 37)(5, 44)(6, 40)(7, 49)(8, 50)(9, 51)(10, 39)(11, 41)(12, 52)(13, 46)(14, 47)(15, 57)(16, 58)(17, 59)(18, 45)(19, 48)(20, 60)(21, 54)(22, 55)(23, 65)(24, 66)(25, 67)(26, 53)(27, 56)(28, 68)(29, 62)(30, 63)(31, 72)(32, 69)(33, 71)(34, 61)(35, 64)(36, 70)
	local type(s) :: { ( 4, 36, 4, 36, 4, 36, 4, 36, 4, 36, 4, 36, 4, 36, 4, 36, 4, 36, 4, 36, 4, 36, 4, 36, 4, 36, 4, 36, 4, 36, 4, 36, 4, 36, 4, 36 ) }
Outer automorphisms :: reflexible
Dual of E13.738
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 2 e = 36 f = 10
	degree seq :: [ 36^2 ]

E13.740 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {4, 18, 36})
Quotient :: loop
Aut^+ = C36 (small group id <36, 2>)
Aut   = D72 (small group id <72, 6>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, (T1^-1, T2), T1^-4 * T2^-4, T1^7 * T2^-2, T2^-1 * T1 * T2^-2 * T1 * T2^-3 * T1, T2^36 ]
Map:: non-degenerate
	R = (1, 37, 3, 39, 9, 45, 19, 55, 33, 69, 28, 64, 14, 50, 27, 63, 24, 60, 12, 48, 4, 40, 10, 46, 20, 56, 34, 70, 30, 66, 16, 52, 6, 42, 15, 51, 29, 65, 23, 59, 11, 47, 21, 57, 35, 71, 32, 68, 18, 54, 8, 44, 2, 38, 7, 43, 17, 53, 31, 67, 22, 58, 36, 72, 26, 62, 25, 61, 13, 49, 5, 41)
	L = (1, 38)(2, 42)(3, 43)(4, 37)(5, 44)(6, 50)(7, 51)(8, 52)(9, 53)(10, 39)(11, 40)(12, 41)(13, 54)(14, 62)(15, 63)(16, 64)(17, 65)(18, 66)(19, 67)(20, 45)(21, 46)(22, 47)(23, 48)(24, 49)(25, 68)(26, 71)(27, 61)(28, 72)(29, 60)(30, 69)(31, 59)(32, 70)(33, 58)(34, 55)(35, 56)(36, 57)
	local type(s) :: { ( 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18 ) }
Outer automorphisms :: reflexible
Dual of E13.736
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 36 f = 11
	degree seq :: [ 72 ]

E13.741 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {4, 18, 36})
Quotient :: loop
Aut^+ = C36 (small group id <36, 2>)
Aut   = D72 (small group id <72, 6>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, T2^4, (F * T2)^2, (T2^-1, T1^-1), T2 * T1^-9, (T1^-1 * T2^-1)^18 ]
Map:: non-degenerate
	R = (1, 37, 3, 39, 9, 45, 5, 41)(2, 38, 7, 43, 16, 52, 8, 44)(4, 40, 10, 46, 17, 53, 12, 48)(6, 42, 14, 50, 24, 60, 15, 51)(11, 47, 18, 54, 25, 61, 20, 56)(13, 49, 22, 58, 32, 68, 23, 59)(19, 55, 26, 62, 33, 69, 28, 64)(21, 57, 30, 66, 36, 72, 31, 67)(27, 63, 29, 65, 35, 71, 34, 70)
	L = (1, 38)(2, 42)(3, 43)(4, 37)(5, 44)(6, 49)(7, 50)(8, 51)(9, 52)(10, 39)(11, 40)(12, 41)(13, 57)(14, 58)(15, 59)(16, 60)(17, 45)(18, 46)(19, 47)(20, 48)(21, 65)(22, 66)(23, 67)(24, 68)(25, 53)(26, 54)(27, 55)(28, 56)(29, 62)(30, 71)(31, 63)(32, 72)(33, 61)(34, 64)(35, 69)(36, 70)
	local type(s) :: { ( 18, 36, 18, 36, 18, 36, 18, 36 ) }
Outer automorphisms :: reflexible
Dual of E13.737
Transitivity :: ET+ VT+ AT
Graph::
	v = 9 e = 36 f = 3
	degree seq :: [ 8^9 ]

E13.742 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 18, 36})
Quotient :: dipole
Aut^+ = C36 (small group id <36, 2>)
Aut   = D72 (small group id <72, 6>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1^-1, Y1^4, (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, (Y2, Y1^-1), (Y3^-1, Y2^-1), Y2^-9 * 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 ]
Map::
	R = (1, 37, 2, 38, 6, 42, 4, 40)(3, 39, 7, 43, 13, 49, 10, 46)(5, 41, 8, 44, 14, 50, 11, 47)(9, 45, 15, 51, 21, 57, 18, 54)(12, 48, 16, 52, 22, 58, 19, 55)(17, 53, 23, 59, 29, 65, 26, 62)(20, 56, 24, 60, 30, 66, 27, 63)(25, 61, 31, 67, 36, 72, 34, 70)(28, 64, 32, 68, 33, 69, 35, 71)(73, 109, 75, 111, 81, 117, 89, 125, 97, 133, 105, 141, 102, 138, 94, 130, 86, 122, 78, 114, 85, 121, 93, 129, 101, 137, 108, 144, 100, 136, 92, 128, 84, 120, 77, 113)(74, 110, 79, 115, 87, 123, 95, 131, 103, 139, 107, 143, 99, 135, 91, 127, 83, 119, 76, 112, 82, 118, 90, 126, 98, 134, 106, 142, 104, 140, 96, 132, 88, 124, 80, 116)
	L = (1, 76)(2, 73)(3, 82)(4, 78)(5, 83)(6, 74)(7, 75)(8, 77)(9, 90)(10, 85)(11, 86)(12, 91)(13, 79)(14, 80)(15, 81)(16, 84)(17, 98)(18, 93)(19, 94)(20, 99)(21, 87)(22, 88)(23, 89)(24, 92)(25, 106)(26, 101)(27, 102)(28, 107)(29, 95)(30, 96)(31, 97)(32, 100)(33, 104)(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) :: { ( 2, 72, 2, 72, 2, 72, 2, 72 ), ( 2, 72, 2, 72, 2, 72, 2, 72, 2, 72, 2, 72, 2, 72, 2, 72, 2, 72, 2, 72, 2, 72, 2, 72, 2, 72, 2, 72, 2, 72, 2, 72, 2, 72, 2, 72 ) }
Outer automorphisms :: reflexible
Dual of E13.745
Graph:: bipartite
	v = 11 e = 72 f = 37
	degree seq :: [ 8^9, 36^2 ]

E13.743 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 18, 36})
Quotient :: dipole
Aut^+ = C36 (small group id <36, 2>)
Aut   = D72 (small group id <72, 6>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y2^-1, (R * Y1)^2, R * Y2 * R * Y3, (Y1, Y2^-1), Y1^-4 * Y2^-4, (Y3^-1 * Y1^-1)^4, Y1^7 * Y2^-2, Y2^36 ]
Map::
	R = (1, 37, 2, 38, 6, 42, 14, 50, 26, 62, 35, 71, 20, 56, 9, 45, 17, 53, 29, 65, 24, 60, 13, 49, 18, 54, 30, 66, 33, 69, 22, 58, 11, 47, 4, 40)(3, 39, 7, 43, 15, 51, 27, 63, 25, 61, 32, 68, 34, 70, 19, 55, 31, 67, 23, 59, 12, 48, 5, 41, 8, 44, 16, 52, 28, 64, 36, 72, 21, 57, 10, 46)(73, 109, 75, 111, 81, 117, 91, 127, 105, 141, 100, 136, 86, 122, 99, 135, 96, 132, 84, 120, 76, 112, 82, 118, 92, 128, 106, 142, 102, 138, 88, 124, 78, 114, 87, 123, 101, 137, 95, 131, 83, 119, 93, 129, 107, 143, 104, 140, 90, 126, 80, 116, 74, 110, 79, 115, 89, 125, 103, 139, 94, 130, 108, 144, 98, 134, 97, 133, 85, 121, 77, 113)
	L = (1, 75)(2, 79)(3, 81)(4, 82)(5, 73)(6, 87)(7, 89)(8, 74)(9, 91)(10, 92)(11, 93)(12, 76)(13, 77)(14, 99)(15, 101)(16, 78)(17, 103)(18, 80)(19, 105)(20, 106)(21, 107)(22, 108)(23, 83)(24, 84)(25, 85)(26, 97)(27, 96)(28, 86)(29, 95)(30, 88)(31, 94)(32, 90)(33, 100)(34, 102)(35, 104)(36, 98)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8 ), ( 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 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 E13.744
Graph:: bipartite
	v = 3 e = 72 f = 45
	degree seq :: [ 36^2, 72 ]

E13.744 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 18, 36})
Quotient :: dipole
Aut^+ = C36 (small group id <36, 2>)
Aut   = D72 (small group id <72, 6>)
|r| :: 2
Presentation :: [ Y1, R^2, (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, Y2^4, (Y2, Y3^-1), Y2^-1 * Y3^-9, Y2^-1 * Y3^2 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1, (Y3^-1 * Y1^-1)^36 ]
Map::
	R = (1, 37)(2, 38)(3, 39)(4, 40)(5, 41)(6, 42)(7, 43)(8, 44)(9, 45)(10, 46)(11, 47)(12, 48)(13, 49)(14, 50)(15, 51)(16, 52)(17, 53)(18, 54)(19, 55)(20, 56)(21, 57)(22, 58)(23, 59)(24, 60)(25, 61)(26, 62)(27, 63)(28, 64)(29, 65)(30, 66)(31, 67)(32, 68)(33, 69)(34, 70)(35, 71)(36, 72)(73, 109, 74, 110, 78, 114, 76, 112)(75, 111, 79, 115, 85, 121, 82, 118)(77, 113, 80, 116, 86, 122, 83, 119)(81, 117, 87, 123, 93, 129, 90, 126)(84, 120, 88, 124, 94, 130, 91, 127)(89, 125, 95, 131, 101, 137, 98, 134)(92, 128, 96, 132, 102, 138, 99, 135)(97, 133, 103, 139, 107, 143, 106, 142)(100, 136, 104, 140, 108, 144, 105, 141)
	L = (1, 75)(2, 79)(3, 81)(4, 82)(5, 73)(6, 85)(7, 87)(8, 74)(9, 89)(10, 90)(11, 76)(12, 77)(13, 93)(14, 78)(15, 95)(16, 80)(17, 97)(18, 98)(19, 83)(20, 84)(21, 101)(22, 86)(23, 103)(24, 88)(25, 105)(26, 106)(27, 91)(28, 92)(29, 107)(30, 94)(31, 100)(32, 96)(33, 99)(34, 108)(35, 104)(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) :: { ( 36, 72 ), ( 36, 72, 36, 72, 36, 72, 36, 72 ) }
Outer automorphisms :: reflexible
Dual of E13.743
Graph:: simple bipartite
	v = 45 e = 72 f = 3
	degree seq :: [ 2^36, 8^9 ]

E13.745 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 18, 36})
Quotient :: dipole
Aut^+ = C36 (small group id <36, 2>)
Aut   = D72 (small group id <72, 6>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y1)^2, (R * Y3)^2, Y3^4, (Y3^-1, Y1^-1), (R * Y2 * Y3^-1)^2, (Y3 * Y2^-1)^4, Y3 * Y1^-9, (Y1^-1 * Y3^-1)^18 ]
Map::
	R = (1, 37, 2, 38, 6, 42, 13, 49, 21, 57, 29, 65, 26, 62, 18, 54, 10, 46, 3, 39, 7, 43, 14, 50, 22, 58, 30, 66, 35, 71, 33, 69, 25, 61, 17, 53, 9, 45, 16, 52, 24, 60, 32, 68, 36, 72, 34, 70, 28, 64, 20, 56, 12, 48, 5, 41, 8, 44, 15, 51, 23, 59, 31, 67, 27, 63, 19, 55, 11, 47, 4, 40)(73, 109)(74, 110)(75, 111)(76, 112)(77, 113)(78, 114)(79, 115)(80, 116)(81, 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, 130)(95, 131)(96, 132)(97, 133)(98, 134)(99, 135)(100, 136)(101, 137)(102, 138)(103, 139)(104, 140)(105, 141)(106, 142)(107, 143)(108, 144)
	L = (1, 75)(2, 79)(3, 81)(4, 82)(5, 73)(6, 86)(7, 88)(8, 74)(9, 77)(10, 89)(11, 90)(12, 76)(13, 94)(14, 96)(15, 78)(16, 80)(17, 84)(18, 97)(19, 98)(20, 83)(21, 102)(22, 104)(23, 85)(24, 87)(25, 92)(26, 105)(27, 101)(28, 91)(29, 107)(30, 108)(31, 93)(32, 95)(33, 100)(34, 99)(35, 106)(36, 103)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 8, 36 ), ( 8, 36, 8, 36, 8, 36, 8, 36, 8, 36, 8, 36, 8, 36, 8, 36, 8, 36, 8, 36, 8, 36, 8, 36, 8, 36, 8, 36, 8, 36, 8, 36, 8, 36, 8, 36, 8, 36, 8, 36, 8, 36, 8, 36, 8, 36, 8, 36, 8, 36, 8, 36, 8, 36, 8, 36, 8, 36, 8, 36, 8, 36, 8, 36, 8, 36, 8, 36, 8, 36, 8, 36 ) }
Outer automorphisms :: reflexible
Dual of E13.742
Graph:: bipartite
	v = 37 e = 72 f = 11
	degree seq :: [ 2^36, 72 ]

E13.746 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 18, 36})
Quotient :: dipole
Aut^+ = C36 (small group id <36, 2>)
Aut   = D72 (small group id <72, 6>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1^-1, (R * Y2)^2, (R * Y3)^2, (R * Y1)^2, Y1^4, (Y3^-1, Y2^-1), (Y2, Y1^-1), Y2^9 * Y1^-1, Y2^-1 * Y3^2 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 ]
Map::
	R = (1, 37, 2, 38, 6, 42, 4, 40)(3, 39, 7, 43, 13, 49, 10, 46)(5, 41, 8, 44, 14, 50, 11, 47)(9, 45, 15, 51, 21, 57, 18, 54)(12, 48, 16, 52, 22, 58, 19, 55)(17, 53, 23, 59, 29, 65, 26, 62)(20, 56, 24, 60, 30, 66, 27, 63)(25, 61, 31, 67, 35, 71, 33, 69)(28, 64, 32, 68, 36, 72, 34, 70)(73, 109, 75, 111, 81, 117, 89, 125, 97, 133, 104, 140, 96, 132, 88, 124, 80, 116, 74, 110, 79, 115, 87, 123, 95, 131, 103, 139, 108, 144, 102, 138, 94, 130, 86, 122, 78, 114, 85, 121, 93, 129, 101, 137, 107, 143, 106, 142, 99, 135, 91, 127, 83, 119, 76, 112, 82, 118, 90, 126, 98, 134, 105, 141, 100, 136, 92, 128, 84, 120, 77, 113)
	L = (1, 76)(2, 73)(3, 82)(4, 78)(5, 83)(6, 74)(7, 75)(8, 77)(9, 90)(10, 85)(11, 86)(12, 91)(13, 79)(14, 80)(15, 81)(16, 84)(17, 98)(18, 93)(19, 94)(20, 99)(21, 87)(22, 88)(23, 89)(24, 92)(25, 105)(26, 101)(27, 102)(28, 106)(29, 95)(30, 96)(31, 97)(32, 100)(33, 107)(34, 108)(35, 103)(36, 104)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 2, 36, 2, 36, 2, 36, 2, 36 ), ( 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36 ) }
Outer automorphisms :: reflexible
Dual of E13.747
Graph:: bipartite
	v = 10 e = 72 f = 38
	degree seq :: [ 8^9, 72 ]

E13.747 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 18, 36})
Quotient :: dipole
Aut^+ = C36 (small group id <36, 2>)
Aut   = D72 (small group id <72, 6>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y1)^2, (R * Y3)^2, (Y1^-1, Y3), (R * Y2 * Y3^-1)^2, Y1^-4 * Y3^-4, Y1^3 * Y3^-6, Y1^18, (Y3 * Y2^-1)^36 ]
Map::
	R = (1, 37, 2, 38, 6, 42, 14, 50, 26, 62, 35, 71, 20, 56, 9, 45, 17, 53, 29, 65, 24, 60, 13, 49, 18, 54, 30, 66, 33, 69, 22, 58, 11, 47, 4, 40)(3, 39, 7, 43, 15, 51, 27, 63, 25, 61, 32, 68, 34, 70, 19, 55, 31, 67, 23, 59, 12, 48, 5, 41, 8, 44, 16, 52, 28, 64, 36, 72, 21, 57, 10, 46)(73, 109)(74, 110)(75, 111)(76, 112)(77, 113)(78, 114)(79, 115)(80, 116)(81, 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, 130)(95, 131)(96, 132)(97, 133)(98, 134)(99, 135)(100, 136)(101, 137)(102, 138)(103, 139)(104, 140)(105, 141)(106, 142)(107, 143)(108, 144)
	L = (1, 75)(2, 79)(3, 81)(4, 82)(5, 73)(6, 87)(7, 89)(8, 74)(9, 91)(10, 92)(11, 93)(12, 76)(13, 77)(14, 99)(15, 101)(16, 78)(17, 103)(18, 80)(19, 105)(20, 106)(21, 107)(22, 108)(23, 83)(24, 84)(25, 85)(26, 97)(27, 96)(28, 86)(29, 95)(30, 88)(31, 94)(32, 90)(33, 100)(34, 102)(35, 104)(36, 98)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 8, 72 ), ( 8, 72, 8, 72, 8, 72, 8, 72, 8, 72, 8, 72, 8, 72, 8, 72, 8, 72, 8, 72, 8, 72, 8, 72, 8, 72, 8, 72, 8, 72, 8, 72, 8, 72, 8, 72 ) }
Outer automorphisms :: reflexible
Dual of E13.746
Graph:: simple bipartite
	v = 38 e = 72 f = 10
	degree seq :: [ 2^36, 36^2 ]

E13.748 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {3, 39, 39})
Quotient :: edge
Aut^+ = C39 (small group id <39, 2>)
Aut   = D78 (small group id <78, 5>)
|r| :: 2
Presentation :: [ F^2, T1^3, (F * T1)^2, (F * T2)^2, (T2^-1, T1^-1), T2^13 * T1^-1, (T1^-1 * T2^-1)^39 ]
Map:: non-degenerate
	R = (1, 3, 8, 14, 20, 26, 32, 37, 31, 25, 19, 13, 7, 2, 6, 12, 18, 24, 30, 36, 39, 34, 28, 22, 16, 10, 4, 9, 15, 21, 27, 33, 38, 35, 29, 23, 17, 11, 5)(40, 41, 43)(42, 45, 48)(44, 46, 49)(47, 51, 54)(50, 52, 55)(53, 57, 60)(56, 58, 61)(59, 63, 66)(62, 64, 67)(65, 69, 72)(68, 70, 73)(71, 75, 77)(74, 76, 78)
	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) :: { ( 78^3 ), ( 78^39 ) }
Outer automorphisms :: reflexible
Dual of E13.749
Transitivity :: ET+
Graph:: bipartite
	v = 14 e = 39 f = 1
	degree seq :: [ 3^13, 39 ]

E13.749 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {3, 39, 39})
Quotient :: loop
Aut^+ = C39 (small group id <39, 2>)
Aut   = D78 (small group id <78, 5>)
|r| :: 2
Presentation :: [ F^2, T1^3, (F * T1)^2, (F * T2)^2, (T2^-1, T1^-1), T2^13 * T1^-1, (T1^-1 * T2^-1)^39 ]
Map:: non-degenerate
	R = (1, 40, 3, 42, 8, 47, 14, 53, 20, 59, 26, 65, 32, 71, 37, 76, 31, 70, 25, 64, 19, 58, 13, 52, 7, 46, 2, 41, 6, 45, 12, 51, 18, 57, 24, 63, 30, 69, 36, 75, 39, 78, 34, 73, 28, 67, 22, 61, 16, 55, 10, 49, 4, 43, 9, 48, 15, 54, 21, 60, 27, 66, 33, 72, 38, 77, 35, 74, 29, 68, 23, 62, 17, 56, 11, 50, 5, 44)
	L = (1, 41)(2, 43)(3, 45)(4, 40)(5, 46)(6, 48)(7, 49)(8, 51)(9, 42)(10, 44)(11, 52)(12, 54)(13, 55)(14, 57)(15, 47)(16, 50)(17, 58)(18, 60)(19, 61)(20, 63)(21, 53)(22, 56)(23, 64)(24, 66)(25, 67)(26, 69)(27, 59)(28, 62)(29, 70)(30, 72)(31, 73)(32, 75)(33, 65)(34, 68)(35, 76)(36, 77)(37, 78)(38, 71)(39, 74)
	local type(s) :: { ( 3, 39, 3, 39, 3, 39, 3, 39, 3, 39, 3, 39, 3, 39, 3, 39, 3, 39, 3, 39, 3, 39, 3, 39, 3, 39, 3, 39, 3, 39, 3, 39, 3, 39, 3, 39, 3, 39, 3, 39, 3, 39, 3, 39, 3, 39, 3, 39, 3, 39, 3, 39, 3, 39, 3, 39, 3, 39, 3, 39, 3, 39, 3, 39, 3, 39, 3, 39, 3, 39, 3, 39, 3, 39, 3, 39, 3, 39 ) }
Outer automorphisms :: reflexible
Dual of E13.748
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 39 f = 14
	degree seq :: [ 78 ]

E13.750 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 39, 39})
Quotient :: dipole
Aut^+ = C39 (small group id <39, 2>)
Aut   = D78 (small group id <78, 5>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1^-1, Y1^3, (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, (Y3^-1, Y2^-1), (Y2, 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 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * 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, 4, 43)(3, 42, 6, 45, 9, 48)(5, 44, 7, 46, 10, 49)(8, 47, 12, 51, 15, 54)(11, 50, 13, 52, 16, 55)(14, 53, 18, 57, 21, 60)(17, 56, 19, 58, 22, 61)(20, 59, 24, 63, 27, 66)(23, 62, 25, 64, 28, 67)(26, 65, 30, 69, 33, 72)(29, 68, 31, 70, 34, 73)(32, 71, 36, 75, 38, 77)(35, 74, 37, 76, 39, 78)(79, 118, 81, 120, 86, 125, 92, 131, 98, 137, 104, 143, 110, 149, 115, 154, 109, 148, 103, 142, 97, 136, 91, 130, 85, 124, 80, 119, 84, 123, 90, 129, 96, 135, 102, 141, 108, 147, 114, 153, 117, 156, 112, 151, 106, 145, 100, 139, 94, 133, 88, 127, 82, 121, 87, 126, 93, 132, 99, 138, 105, 144, 111, 150, 116, 155, 113, 152, 107, 146, 101, 140, 95, 134, 89, 128, 83, 122)
	L = (1, 82)(2, 79)(3, 87)(4, 80)(5, 88)(6, 81)(7, 83)(8, 93)(9, 84)(10, 85)(11, 94)(12, 86)(13, 89)(14, 99)(15, 90)(16, 91)(17, 100)(18, 92)(19, 95)(20, 105)(21, 96)(22, 97)(23, 106)(24, 98)(25, 101)(26, 111)(27, 102)(28, 103)(29, 112)(30, 104)(31, 107)(32, 116)(33, 108)(34, 109)(35, 117)(36, 110)(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, 2, 78, 2, 78, 2, 78 ) }
Outer automorphisms :: reflexible
Dual of E13.751
Graph:: bipartite
	v = 14 e = 78 f = 40
	degree seq :: [ 6^13, 78 ]

E13.751 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 39, 39})
Quotient :: dipole
Aut^+ = C39 (small group id <39, 2>)
Aut   = D78 (small group id <78, 5>)
|r| :: 2
Presentation :: [ Y2, R^2, Y3^3, (R * Y1)^2, (R * Y3)^2, (Y3^-1, Y1^-1), (R * Y2 * Y3^-1)^2, (Y3 * Y2^-1)^3, Y3 * Y1^-13, (Y1^-1 * Y3^-1)^39 ]
Map::
	R = (1, 40, 2, 41, 6, 45, 12, 51, 18, 57, 24, 63, 30, 69, 36, 75, 33, 72, 27, 66, 21, 60, 15, 54, 9, 48, 3, 42, 7, 46, 13, 52, 19, 58, 25, 64, 31, 70, 37, 76, 39, 78, 35, 74, 29, 68, 23, 62, 17, 56, 11, 50, 5, 44, 8, 47, 14, 53, 20, 59, 26, 65, 32, 71, 38, 77, 34, 73, 28, 67, 22, 61, 16, 55, 10, 49, 4, 43)(79, 118)(80, 119)(81, 120)(82, 121)(83, 122)(84, 123)(85, 124)(86, 125)(87, 126)(88, 127)(89, 128)(90, 129)(91, 130)(92, 131)(93, 132)(94, 133)(95, 134)(96, 135)(97, 136)(98, 137)(99, 138)(100, 139)(101, 140)(102, 141)(103, 142)(104, 143)(105, 144)(106, 145)(107, 146)(108, 147)(109, 148)(110, 149)(111, 150)(112, 151)(113, 152)(114, 153)(115, 154)(116, 155)(117, 156)
	L = (1, 81)(2, 85)(3, 83)(4, 87)(5, 79)(6, 91)(7, 86)(8, 80)(9, 89)(10, 93)(11, 82)(12, 97)(13, 92)(14, 84)(15, 95)(16, 99)(17, 88)(18, 103)(19, 98)(20, 90)(21, 101)(22, 105)(23, 94)(24, 109)(25, 104)(26, 96)(27, 107)(28, 111)(29, 100)(30, 115)(31, 110)(32, 102)(33, 113)(34, 114)(35, 106)(36, 117)(37, 116)(38, 108)(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) :: { ( 6, 78 ), ( 6, 78, 6, 78, 6, 78, 6, 78, 6, 78, 6, 78, 6, 78, 6, 78, 6, 78, 6, 78, 6, 78, 6, 78, 6, 78, 6, 78, 6, 78, 6, 78, 6, 78, 6, 78, 6, 78, 6, 78, 6, 78, 6, 78, 6, 78, 6, 78, 6, 78, 6, 78, 6, 78, 6, 78, 6, 78, 6, 78, 6, 78, 6, 78, 6, 78, 6, 78, 6, 78, 6, 78, 6, 78, 6, 78, 6, 78 ) }
Outer automorphisms :: reflexible
Dual of E13.750
Graph:: bipartite
	v = 40 e = 78 f = 14
	degree seq :: [ 2^39, 78 ]

E13.752 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {4, 10, 20})
Quotient :: edge
Aut^+ = C20 x C2 (small group id <40, 9>)
Aut   = C2 x D40 (small group id <80, 37>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, T1^4, (T2^-1, T1^-1), T2^10 ]
Map:: non-degenerate
	R = (1, 3, 9, 17, 25, 33, 28, 20, 12, 5)(2, 7, 15, 23, 31, 38, 32, 24, 16, 8)(4, 10, 18, 26, 34, 39, 35, 27, 19, 11)(6, 13, 21, 29, 36, 40, 37, 30, 22, 14)(41, 42, 46, 44)(43, 47, 53, 50)(45, 48, 54, 51)(49, 55, 61, 58)(52, 56, 62, 59)(57, 63, 69, 66)(60, 64, 70, 67)(65, 71, 76, 74)(68, 72, 77, 75)(73, 78, 80, 79)
	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) :: { ( 40^4 ), ( 40^10 ) }
Outer automorphisms :: reflexible
Dual of E13.756
Transitivity :: ET+
Graph:: simple bipartite
	v = 14 e = 40 f = 2
	degree seq :: [ 4^10, 10^4 ]

E13.753 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {4, 10, 20})
Quotient :: edge
Aut^+ = C20 x C2 (small group id <40, 9>)
Aut   = C2 x D40 (small group id <80, 37>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, (T2^-1, T1^-1), T2^4 * T1^4, T2^8 * T1^-2, T1^10 ]
Map:: non-degenerate
	R = (1, 3, 9, 19, 33, 40, 30, 16, 6, 15, 29, 23, 11, 21, 35, 38, 26, 25, 13, 5)(2, 7, 17, 31, 22, 36, 39, 28, 14, 27, 24, 12, 4, 10, 20, 34, 37, 32, 18, 8)(41, 42, 46, 54, 66, 77, 73, 62, 51, 44)(43, 47, 55, 67, 65, 72, 80, 76, 61, 50)(45, 48, 56, 68, 78, 74, 59, 71, 63, 52)(49, 57, 69, 64, 53, 58, 70, 79, 75, 60)
	L = (1, 41)(2, 42)(3, 43)(4, 44)(5, 45)(6, 46)(7, 47)(8, 48)(9, 49)(10, 50)(11, 51)(12, 52)(13, 53)(14, 54)(15, 55)(16, 56)(17, 57)(18, 58)(19, 59)(20, 60)(21, 61)(22, 62)(23, 63)(24, 64)(25, 65)(26, 66)(27, 67)(28, 68)(29, 69)(30, 70)(31, 71)(32, 72)(33, 73)(34, 74)(35, 75)(36, 76)(37, 77)(38, 78)(39, 79)(40, 80)
	local type(s) :: { ( 8^10 ), ( 8^20 ) }
Outer automorphisms :: reflexible
Dual of E13.757
Transitivity :: ET+
Graph:: bipartite
	v = 6 e = 40 f = 10
	degree seq :: [ 10^4, 20^2 ]

E13.754 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {4, 10, 20})
Quotient :: edge
Aut^+ = C20 x C2 (small group id <40, 9>)
Aut   = C2 x D40 (small group id <80, 37>)
|r| :: 2
Presentation :: [ F^2, T2^-4, (F * T1)^2, T2^4, (F * T2)^2, (T2^-1, T1^-1), T2^2 * T1^-10 ]
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, 37, 36)(29, 38, 35, 39)(41, 42, 46, 53, 61, 69, 77, 73, 65, 57, 49, 56, 64, 72, 80, 75, 67, 59, 51, 44)(43, 47, 54, 62, 70, 78, 76, 68, 60, 52, 45, 48, 55, 63, 71, 79, 74, 66, 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) :: { ( 20^4 ), ( 20^20 ) }
Outer automorphisms :: reflexible
Dual of E13.755
Transitivity :: ET+
Graph:: bipartite
	v = 12 e = 40 f = 4
	degree seq :: [ 4^10, 20^2 ]

E13.755 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {4, 10, 20})
Quotient :: loop
Aut^+ = C20 x C2 (small group id <40, 9>)
Aut   = C2 x D40 (small group id <80, 37>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, T1^4, (T2^-1, T1^-1), T2^10 ]
Map:: non-degenerate
	R = (1, 41, 3, 43, 9, 49, 17, 57, 25, 65, 33, 73, 28, 68, 20, 60, 12, 52, 5, 45)(2, 42, 7, 47, 15, 55, 23, 63, 31, 71, 38, 78, 32, 72, 24, 64, 16, 56, 8, 48)(4, 44, 10, 50, 18, 58, 26, 66, 34, 74, 39, 79, 35, 75, 27, 67, 19, 59, 11, 51)(6, 46, 13, 53, 21, 61, 29, 69, 36, 76, 40, 80, 37, 77, 30, 70, 22, 62, 14, 54)
	L = (1, 42)(2, 46)(3, 47)(4, 41)(5, 48)(6, 44)(7, 53)(8, 54)(9, 55)(10, 43)(11, 45)(12, 56)(13, 50)(14, 51)(15, 61)(16, 62)(17, 63)(18, 49)(19, 52)(20, 64)(21, 58)(22, 59)(23, 69)(24, 70)(25, 71)(26, 57)(27, 60)(28, 72)(29, 66)(30, 67)(31, 76)(32, 77)(33, 78)(34, 65)(35, 68)(36, 74)(37, 75)(38, 80)(39, 73)(40, 79)
	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 E13.754
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 4 e = 40 f = 12
	degree seq :: [ 20^4 ]

E13.756 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {4, 10, 20})
Quotient :: loop
Aut^+ = C20 x C2 (small group id <40, 9>)
Aut   = C2 x D40 (small group id <80, 37>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, (T2^-1, T1^-1), T2^4 * T1^4, T2^8 * T1^-2, T1^10 ]
Map:: non-degenerate
	R = (1, 41, 3, 43, 9, 49, 19, 59, 33, 73, 40, 80, 30, 70, 16, 56, 6, 46, 15, 55, 29, 69, 23, 63, 11, 51, 21, 61, 35, 75, 38, 78, 26, 66, 25, 65, 13, 53, 5, 45)(2, 42, 7, 47, 17, 57, 31, 71, 22, 62, 36, 76, 39, 79, 28, 68, 14, 54, 27, 67, 24, 64, 12, 52, 4, 44, 10, 50, 20, 60, 34, 74, 37, 77, 32, 72, 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, 66)(15, 67)(16, 68)(17, 69)(18, 70)(19, 71)(20, 49)(21, 50)(22, 51)(23, 52)(24, 53)(25, 72)(26, 77)(27, 65)(28, 78)(29, 64)(30, 79)(31, 63)(32, 80)(33, 62)(34, 59)(35, 60)(36, 61)(37, 73)(38, 74)(39, 75)(40, 76)
	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 E13.752
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 2 e = 40 f = 14
	degree seq :: [ 40^2 ]

E13.757 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {4, 10, 20})
Quotient :: loop
Aut^+ = C20 x C2 (small group id <40, 9>)
Aut   = C2 x D40 (small group id <80, 37>)
|r| :: 2
Presentation :: [ F^2, T2^-4, (F * T1)^2, T2^4, (F * T2)^2, (T2^-1, T1^-1), T2^2 * T1^-10 ]
Map:: non-degenerate
	R = (1, 41, 3, 43, 9, 49, 5, 45)(2, 42, 7, 47, 16, 56, 8, 48)(4, 44, 10, 50, 17, 57, 12, 52)(6, 46, 14, 54, 24, 64, 15, 55)(11, 51, 18, 58, 25, 65, 20, 60)(13, 53, 22, 62, 32, 72, 23, 63)(19, 59, 26, 66, 33, 73, 28, 68)(21, 61, 30, 70, 40, 80, 31, 71)(27, 67, 34, 74, 37, 77, 36, 76)(29, 69, 38, 78, 35, 75, 39, 79)
	L = (1, 42)(2, 46)(3, 47)(4, 41)(5, 48)(6, 53)(7, 54)(8, 55)(9, 56)(10, 43)(11, 44)(12, 45)(13, 61)(14, 62)(15, 63)(16, 64)(17, 49)(18, 50)(19, 51)(20, 52)(21, 69)(22, 70)(23, 71)(24, 72)(25, 57)(26, 58)(27, 59)(28, 60)(29, 77)(30, 78)(31, 79)(32, 80)(33, 65)(34, 66)(35, 67)(36, 68)(37, 73)(38, 76)(39, 74)(40, 75)
	local type(s) :: { ( 10, 20, 10, 20, 10, 20, 10, 20 ) }
Outer automorphisms :: reflexible
Dual of E13.753
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 10 e = 40 f = 6
	degree seq :: [ 8^10 ]

E13.758 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 10, 20})
Quotient :: dipole
Aut^+ = C20 x C2 (small group id <40, 9>)
Aut   = C2 x D40 (small group id <80, 37>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1^-1, (R * Y2)^2, (R * Y3)^2, (R * Y1)^2, (Y3^-1, Y2^-1), Y1^4, (Y2, Y1^-1), Y2^10, Y3^20 ]
Map::
	R = (1, 41, 2, 42, 6, 46, 4, 44)(3, 43, 7, 47, 13, 53, 10, 50)(5, 45, 8, 48, 14, 54, 11, 51)(9, 49, 15, 55, 21, 61, 18, 58)(12, 52, 16, 56, 22, 62, 19, 59)(17, 57, 23, 63, 29, 69, 26, 66)(20, 60, 24, 64, 30, 70, 27, 67)(25, 65, 31, 71, 36, 76, 34, 74)(28, 68, 32, 72, 37, 77, 35, 75)(33, 73, 38, 78, 40, 80, 39, 79)(81, 121, 83, 123, 89, 129, 97, 137, 105, 145, 113, 153, 108, 148, 100, 140, 92, 132, 85, 125)(82, 122, 87, 127, 95, 135, 103, 143, 111, 151, 118, 158, 112, 152, 104, 144, 96, 136, 88, 128)(84, 124, 90, 130, 98, 138, 106, 146, 114, 154, 119, 159, 115, 155, 107, 147, 99, 139, 91, 131)(86, 126, 93, 133, 101, 141, 109, 149, 116, 156, 120, 160, 117, 157, 110, 150, 102, 142, 94, 134)
	L = (1, 84)(2, 81)(3, 90)(4, 86)(5, 91)(6, 82)(7, 83)(8, 85)(9, 98)(10, 93)(11, 94)(12, 99)(13, 87)(14, 88)(15, 89)(16, 92)(17, 106)(18, 101)(19, 102)(20, 107)(21, 95)(22, 96)(23, 97)(24, 100)(25, 114)(26, 109)(27, 110)(28, 115)(29, 103)(30, 104)(31, 105)(32, 108)(33, 119)(34, 116)(35, 117)(36, 111)(37, 112)(38, 113)(39, 120)(40, 118)(41, 121)(42, 122)(43, 123)(44, 124)(45, 125)(46, 126)(47, 127)(48, 128)(49, 129)(50, 130)(51, 131)(52, 132)(53, 133)(54, 134)(55, 135)(56, 136)(57, 137)(58, 138)(59, 139)(60, 140)(61, 141)(62, 142)(63, 143)(64, 144)(65, 145)(66, 146)(67, 147)(68, 148)(69, 149)(70, 150)(71, 151)(72, 152)(73, 153)(74, 154)(75, 155)(76, 156)(77, 157)(78, 158)(79, 159)(80, 160)
	local type(s) :: { ( 2, 40, 2, 40, 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 E13.761
Graph:: bipartite
	v = 14 e = 80 f = 42
	degree seq :: [ 8^10, 20^4 ]

E13.759 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 10, 20})
Quotient :: dipole
Aut^+ = C20 x C2 (small group id <40, 9>)
Aut   = C2 x D40 (small group id <80, 37>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, (R * Y1)^2, (R * Y3)^2, (Y1, Y2^-1), Y1^-1 * Y2^2 * Y1^2 * Y2^-1 * Y1^-1 * Y2^-1, Y2^2 * Y1 * Y2 * Y1^3 * Y2, (Y3^-1 * Y1^-1)^4, Y2^7 * Y1^-1 * Y2 * Y1^-1, Y2^2 * Y1^-1 * Y2^2 * Y1^-5 ]
Map::
	R = (1, 41, 2, 42, 6, 46, 14, 54, 26, 66, 37, 77, 33, 73, 22, 62, 11, 51, 4, 44)(3, 43, 7, 47, 15, 55, 27, 67, 25, 65, 32, 72, 40, 80, 36, 76, 21, 61, 10, 50)(5, 45, 8, 48, 16, 56, 28, 68, 38, 78, 34, 74, 19, 59, 31, 71, 23, 63, 12, 52)(9, 49, 17, 57, 29, 69, 24, 64, 13, 53, 18, 58, 30, 70, 39, 79, 35, 75, 20, 60)(81, 121, 83, 123, 89, 129, 99, 139, 113, 153, 120, 160, 110, 150, 96, 136, 86, 126, 95, 135, 109, 149, 103, 143, 91, 131, 101, 141, 115, 155, 118, 158, 106, 146, 105, 145, 93, 133, 85, 125)(82, 122, 87, 127, 97, 137, 111, 151, 102, 142, 116, 156, 119, 159, 108, 148, 94, 134, 107, 147, 104, 144, 92, 132, 84, 124, 90, 130, 100, 140, 114, 154, 117, 157, 112, 152, 98, 138, 88, 128)
	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, 105)(27, 104)(28, 94)(29, 103)(30, 96)(31, 102)(32, 98)(33, 120)(34, 117)(35, 118)(36, 119)(37, 112)(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) :: { ( 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8 ), ( 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 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 E13.760
Graph:: bipartite
	v = 6 e = 80 f = 50
	degree seq :: [ 20^4, 40^2 ]

E13.760 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 10, 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, R^2, (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, Y2^4, (Y2, Y3^-1), Y2^2 * Y3^10, (Y3^-1 * Y1^-1)^20 ]
Map::
	R = (1, 41)(2, 42)(3, 43)(4, 44)(5, 45)(6, 46)(7, 47)(8, 48)(9, 49)(10, 50)(11, 51)(12, 52)(13, 53)(14, 54)(15, 55)(16, 56)(17, 57)(18, 58)(19, 59)(20, 60)(21, 61)(22, 62)(23, 63)(24, 64)(25, 65)(26, 66)(27, 67)(28, 68)(29, 69)(30, 70)(31, 71)(32, 72)(33, 73)(34, 74)(35, 75)(36, 76)(37, 77)(38, 78)(39, 79)(40, 80)(81, 121, 82, 122, 86, 126, 84, 124)(83, 123, 87, 127, 93, 133, 90, 130)(85, 125, 88, 128, 94, 134, 91, 131)(89, 129, 95, 135, 101, 141, 98, 138)(92, 132, 96, 136, 102, 142, 99, 139)(97, 137, 103, 143, 109, 149, 106, 146)(100, 140, 104, 144, 110, 150, 107, 147)(105, 145, 111, 151, 117, 157, 114, 154)(108, 148, 112, 152, 118, 158, 115, 155)(113, 153, 119, 159, 116, 156, 120, 160)
	L = (1, 83)(2, 87)(3, 89)(4, 90)(5, 81)(6, 93)(7, 95)(8, 82)(9, 97)(10, 98)(11, 84)(12, 85)(13, 101)(14, 86)(15, 103)(16, 88)(17, 105)(18, 106)(19, 91)(20, 92)(21, 109)(22, 94)(23, 111)(24, 96)(25, 113)(26, 114)(27, 99)(28, 100)(29, 117)(30, 102)(31, 119)(32, 104)(33, 118)(34, 120)(35, 107)(36, 108)(37, 116)(38, 110)(39, 115)(40, 112)(41, 121)(42, 122)(43, 123)(44, 124)(45, 125)(46, 126)(47, 127)(48, 128)(49, 129)(50, 130)(51, 131)(52, 132)(53, 133)(54, 134)(55, 135)(56, 136)(57, 137)(58, 138)(59, 139)(60, 140)(61, 141)(62, 142)(63, 143)(64, 144)(65, 145)(66, 146)(67, 147)(68, 148)(69, 149)(70, 150)(71, 151)(72, 152)(73, 153)(74, 154)(75, 155)(76, 156)(77, 157)(78, 158)(79, 159)(80, 160)
	local type(s) :: { ( 20, 40 ), ( 20, 40, 20, 40, 20, 40, 20, 40 ) }
Outer automorphisms :: reflexible
Dual of E13.759
Graph:: simple bipartite
	v = 50 e = 80 f = 6
	degree seq :: [ 2^40, 8^10 ]

E13.761 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 10, 20})
Quotient :: dipole
Aut^+ = C20 x C2 (small group id <40, 9>)
Aut   = C2 x D40 (small group id <80, 37>)
|r| :: 2
Presentation :: [ Y2, R^2, Y3^-4, (R * Y1)^2, (R * Y3)^2, Y3^4, (Y3^-1, Y1^-1), (R * Y2 * Y3^-1)^2, (Y3 * Y2^-1)^4, Y3^2 * Y1^-10 ]
Map::
	R = (1, 41, 2, 42, 6, 46, 13, 53, 21, 61, 29, 69, 37, 77, 33, 73, 25, 65, 17, 57, 9, 49, 16, 56, 24, 64, 32, 72, 40, 80, 35, 75, 27, 67, 19, 59, 11, 51, 4, 44)(3, 43, 7, 47, 14, 54, 22, 62, 30, 70, 38, 78, 36, 76, 28, 68, 20, 60, 12, 52, 5, 45, 8, 48, 15, 55, 23, 63, 31, 71, 39, 79, 34, 74, 26, 66, 18, 58, 10, 50)(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, 94)(7, 96)(8, 82)(9, 85)(10, 97)(11, 98)(12, 84)(13, 102)(14, 104)(15, 86)(16, 88)(17, 92)(18, 105)(19, 106)(20, 91)(21, 110)(22, 112)(23, 93)(24, 95)(25, 100)(26, 113)(27, 114)(28, 99)(29, 118)(30, 120)(31, 101)(32, 103)(33, 108)(34, 117)(35, 119)(36, 107)(37, 116)(38, 115)(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) :: { ( 8, 20 ), ( 8, 20, 8, 20, 8, 20, 8, 20, 8, 20, 8, 20, 8, 20, 8, 20, 8, 20, 8, 20, 8, 20, 8, 20, 8, 20, 8, 20, 8, 20, 8, 20, 8, 20, 8, 20, 8, 20, 8, 20 ) }
Outer automorphisms :: reflexible
Dual of E13.758
Graph:: simple bipartite
	v = 42 e = 80 f = 14
	degree seq :: [ 2^40, 40^2 ]

E13.762 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 10, 20})
Quotient :: dipole
Aut^+ = C20 x C2 (small group id <40, 9>)
Aut   = C2 x D40 (small group id <80, 37>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1^-1, (R * Y2)^2, (R * Y3)^2, (R * Y1)^2, Y1^4, (Y2, Y1^-1), (Y3^-1, Y2^-1), Y2^10 * 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 ]
Map::
	R = (1, 41, 2, 42, 6, 46, 4, 44)(3, 43, 7, 47, 13, 53, 10, 50)(5, 45, 8, 48, 14, 54, 11, 51)(9, 49, 15, 55, 21, 61, 18, 58)(12, 52, 16, 56, 22, 62, 19, 59)(17, 57, 23, 63, 29, 69, 26, 66)(20, 60, 24, 64, 30, 70, 27, 67)(25, 65, 31, 71, 37, 77, 34, 74)(28, 68, 32, 72, 38, 78, 35, 75)(33, 73, 39, 79, 36, 76, 40, 80)(81, 121, 83, 123, 89, 129, 97, 137, 105, 145, 113, 153, 118, 158, 110, 150, 102, 142, 94, 134, 86, 126, 93, 133, 101, 141, 109, 149, 117, 157, 116, 156, 108, 148, 100, 140, 92, 132, 85, 125)(82, 122, 87, 127, 95, 135, 103, 143, 111, 151, 119, 159, 115, 155, 107, 147, 99, 139, 91, 131, 84, 124, 90, 130, 98, 138, 106, 146, 114, 154, 120, 160, 112, 152, 104, 144, 96, 136, 88, 128)
	L = (1, 84)(2, 81)(3, 90)(4, 86)(5, 91)(6, 82)(7, 83)(8, 85)(9, 98)(10, 93)(11, 94)(12, 99)(13, 87)(14, 88)(15, 89)(16, 92)(17, 106)(18, 101)(19, 102)(20, 107)(21, 95)(22, 96)(23, 97)(24, 100)(25, 114)(26, 109)(27, 110)(28, 115)(29, 103)(30, 104)(31, 105)(32, 108)(33, 120)(34, 117)(35, 118)(36, 119)(37, 111)(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) :: { ( 2, 20, 2, 20, 2, 20, 2, 20 ), ( 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 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 E13.763
Graph:: bipartite
	v = 12 e = 80 f = 44
	degree seq :: [ 8^10, 40^2 ]

E13.763 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 10, 20})
Quotient :: dipole
Aut^+ = C20 x C2 (small group id <40, 9>)
Aut   = C2 x D40 (small group id <80, 37>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y1)^2, (R * Y3)^2, (Y3^-1, Y1^-1), (R * Y2 * Y3^-1)^2, Y3^-4 * Y1^-4, Y3^8 * Y1^-2, Y1^10, (Y3 * Y2^-1)^20 ]
Map::
	R = (1, 41, 2, 42, 6, 46, 14, 54, 26, 66, 37, 77, 33, 73, 22, 62, 11, 51, 4, 44)(3, 43, 7, 47, 15, 55, 27, 67, 25, 65, 32, 72, 40, 80, 36, 76, 21, 61, 10, 50)(5, 45, 8, 48, 16, 56, 28, 68, 38, 78, 34, 74, 19, 59, 31, 71, 23, 63, 12, 52)(9, 49, 17, 57, 29, 69, 24, 64, 13, 53, 18, 58, 30, 70, 39, 79, 35, 75, 20, 60)(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, 107)(15, 109)(16, 86)(17, 111)(18, 88)(19, 113)(20, 114)(21, 115)(22, 116)(23, 91)(24, 92)(25, 93)(26, 105)(27, 104)(28, 94)(29, 103)(30, 96)(31, 102)(32, 98)(33, 120)(34, 117)(35, 118)(36, 119)(37, 112)(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) :: { ( 8, 40 ), ( 8, 40, 8, 40, 8, 40, 8, 40, 8, 40, 8, 40, 8, 40, 8, 40, 8, 40, 8, 40 ) }
Outer automorphisms :: reflexible
Dual of E13.762
Graph:: simple bipartite
	v = 44 e = 80 f = 12
	degree seq :: [ 2^40, 20^4 ]

E13.764 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {3, 14, 42})
Quotient :: edge
Aut^+ = C42 (small group id <42, 6>)
Aut   = D84 (small group id <84, 14>)
|r| :: 2
Presentation :: [ F^2, T1^3, (F * T2)^2, (F * T1)^2, (T2^-1, T1^-1), T2^14 ]
Map:: non-degenerate
	R = (1, 3, 8, 14, 20, 26, 32, 38, 35, 29, 23, 17, 11, 5)(2, 6, 12, 18, 24, 30, 36, 41, 37, 31, 25, 19, 13, 7)(4, 9, 15, 21, 27, 33, 39, 42, 40, 34, 28, 22, 16, 10)(43, 44, 46)(45, 48, 51)(47, 49, 52)(50, 54, 57)(53, 55, 58)(56, 60, 63)(59, 61, 64)(62, 66, 69)(65, 67, 70)(68, 72, 75)(71, 73, 76)(74, 78, 81)(77, 79, 82)(80, 83, 84)
	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) :: { ( 84^3 ), ( 84^14 ) }
Outer automorphisms :: reflexible
Dual of E13.768
Transitivity :: ET+
Graph:: simple bipartite
	v = 17 e = 42 f = 1
	degree seq :: [ 3^14, 14^3 ]

E13.765 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {3, 14, 42})
Quotient :: edge
Aut^+ = C42 (small group id <42, 6>)
Aut   = D84 (small group id <84, 14>)
|r| :: 2
Presentation :: [ F^2, (T1, T2), (F * T1)^2, (F * T2)^2, T1^-3 * T2^-3, T2^-12 * T1^2, T2^7 * T1^-2 * T2 * T1^-3 * T2, T1^14 ]
Map:: non-degenerate
	R = (1, 3, 9, 19, 25, 31, 37, 42, 35, 28, 24, 16, 6, 15, 12, 4, 10, 20, 26, 32, 38, 40, 36, 29, 22, 18, 8, 2, 7, 17, 11, 21, 27, 33, 39, 41, 34, 30, 23, 14, 13, 5)(43, 44, 48, 56, 64, 70, 76, 82, 79, 75, 68, 61, 53, 46)(45, 49, 57, 55, 60, 66, 72, 78, 84, 81, 74, 67, 63, 52)(47, 50, 58, 65, 71, 77, 83, 80, 73, 69, 62, 51, 59, 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) :: { ( 6^14 ), ( 6^42 ) }
Outer automorphisms :: reflexible
Dual of E13.769
Transitivity :: ET+
Graph:: bipartite
	v = 4 e = 42 f = 14
	degree seq :: [ 14^3, 42 ]

E13.766 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {3, 14, 42})
Quotient :: edge
Aut^+ = C42 (small group id <42, 6>)
Aut   = D84 (small group id <84, 14>)
|r| :: 2
Presentation :: [ F^2, T2^3, (F * T1)^2, (F * T2)^2, (T2^-1, T1^-1), T2^-1 * T1^14, (T1^-1 * T2^-1)^14 ]
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, 42, 40)(43, 44, 48, 54, 60, 66, 72, 78, 81, 75, 69, 63, 57, 51, 45, 49, 55, 61, 67, 73, 79, 84, 83, 77, 71, 65, 59, 53, 47, 50, 56, 62, 68, 74, 80, 82, 76, 70, 64, 58, 52, 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) :: { ( 28^3 ), ( 28^42 ) }
Outer automorphisms :: reflexible
Dual of E13.767
Transitivity :: ET+
Graph:: bipartite
	v = 15 e = 42 f = 3
	degree seq :: [ 3^14, 42 ]

E13.767 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {3, 14, 42})
Quotient :: loop
Aut^+ = C42 (small group id <42, 6>)
Aut   = D84 (small group id <84, 14>)
|r| :: 2
Presentation :: [ F^2, T1^3, (F * T2)^2, (F * T1)^2, (T2^-1, T1^-1), T2^14 ]
Map:: non-degenerate
	R = (1, 43, 3, 45, 8, 50, 14, 56, 20, 62, 26, 68, 32, 74, 38, 80, 35, 77, 29, 71, 23, 65, 17, 59, 11, 53, 5, 47)(2, 44, 6, 48, 12, 54, 18, 60, 24, 66, 30, 72, 36, 78, 41, 83, 37, 79, 31, 73, 25, 67, 19, 61, 13, 55, 7, 49)(4, 46, 9, 51, 15, 57, 21, 63, 27, 69, 33, 75, 39, 81, 42, 84, 40, 82, 34, 76, 28, 70, 22, 64, 16, 58, 10, 52)
	L = (1, 44)(2, 46)(3, 48)(4, 43)(5, 49)(6, 51)(7, 52)(8, 54)(9, 45)(10, 47)(11, 55)(12, 57)(13, 58)(14, 60)(15, 50)(16, 53)(17, 61)(18, 63)(19, 64)(20, 66)(21, 56)(22, 59)(23, 67)(24, 69)(25, 70)(26, 72)(27, 62)(28, 65)(29, 73)(30, 75)(31, 76)(32, 78)(33, 68)(34, 71)(35, 79)(36, 81)(37, 82)(38, 83)(39, 74)(40, 77)(41, 84)(42, 80)
	local type(s) :: { ( 3, 42, 3, 42, 3, 42, 3, 42, 3, 42, 3, 42, 3, 42, 3, 42, 3, 42, 3, 42, 3, 42, 3, 42, 3, 42, 3, 42 ) }
Outer automorphisms :: reflexible
Dual of E13.766
Transitivity :: ET+ VT+ AT
Graph::
	v = 3 e = 42 f = 15
	degree seq :: [ 28^3 ]

E13.768 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {3, 14, 42})
Quotient :: loop
Aut^+ = C42 (small group id <42, 6>)
Aut   = D84 (small group id <84, 14>)
|r| :: 2
Presentation :: [ F^2, (T1, T2), (F * T1)^2, (F * T2)^2, T1^-3 * T2^-3, T2^-12 * T1^2, T2^7 * T1^-2 * T2 * T1^-3 * T2, T1^14 ]
Map:: non-degenerate
	R = (1, 43, 3, 45, 9, 51, 19, 61, 25, 67, 31, 73, 37, 79, 42, 84, 35, 77, 28, 70, 24, 66, 16, 58, 6, 48, 15, 57, 12, 54, 4, 46, 10, 52, 20, 62, 26, 68, 32, 74, 38, 80, 40, 82, 36, 78, 29, 71, 22, 64, 18, 60, 8, 50, 2, 44, 7, 49, 17, 59, 11, 53, 21, 63, 27, 69, 33, 75, 39, 81, 41, 83, 34, 76, 30, 72, 23, 65, 14, 56, 13, 55, 5, 47)
	L = (1, 44)(2, 48)(3, 49)(4, 43)(5, 50)(6, 56)(7, 57)(8, 58)(9, 59)(10, 45)(11, 46)(12, 47)(13, 60)(14, 64)(15, 55)(16, 65)(17, 54)(18, 66)(19, 53)(20, 51)(21, 52)(22, 70)(23, 71)(24, 72)(25, 63)(26, 61)(27, 62)(28, 76)(29, 77)(30, 78)(31, 69)(32, 67)(33, 68)(34, 82)(35, 83)(36, 84)(37, 75)(38, 73)(39, 74)(40, 79)(41, 80)(42, 81)
	local type(s) :: { ( 3, 14, 3, 14, 3, 14, 3, 14, 3, 14, 3, 14, 3, 14, 3, 14, 3, 14, 3, 14, 3, 14, 3, 14, 3, 14, 3, 14, 3, 14, 3, 14, 3, 14, 3, 14, 3, 14, 3, 14, 3, 14, 3, 14, 3, 14, 3, 14, 3, 14, 3, 14, 3, 14, 3, 14, 3, 14, 3, 14, 3, 14, 3, 14, 3, 14, 3, 14, 3, 14, 3, 14, 3, 14, 3, 14, 3, 14, 3, 14, 3, 14, 3, 14 ) }
Outer automorphisms :: reflexible
Dual of E13.764
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 42 f = 17
	degree seq :: [ 84 ]

E13.769 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {3, 14, 42})
Quotient :: loop
Aut^+ = C42 (small group id <42, 6>)
Aut   = D84 (small group id <84, 14>)
|r| :: 2
Presentation :: [ F^2, T2^3, (F * T1)^2, (F * T2)^2, (T2^-1, T1^-1), T2^-1 * T1^14, (T1^-1 * T2^-1)^14 ]
Map:: non-degenerate
	R = (1, 43, 3, 45, 5, 47)(2, 44, 7, 49, 8, 50)(4, 46, 9, 51, 11, 53)(6, 48, 13, 55, 14, 56)(10, 52, 15, 57, 17, 59)(12, 54, 19, 61, 20, 62)(16, 58, 21, 63, 23, 65)(18, 60, 25, 67, 26, 68)(22, 64, 27, 69, 29, 71)(24, 66, 31, 73, 32, 74)(28, 70, 33, 75, 35, 77)(30, 72, 37, 79, 38, 80)(34, 76, 39, 81, 41, 83)(36, 78, 42, 84, 40, 82)
	L = (1, 44)(2, 48)(3, 49)(4, 43)(5, 50)(6, 54)(7, 55)(8, 56)(9, 45)(10, 46)(11, 47)(12, 60)(13, 61)(14, 62)(15, 51)(16, 52)(17, 53)(18, 66)(19, 67)(20, 68)(21, 57)(22, 58)(23, 59)(24, 72)(25, 73)(26, 74)(27, 63)(28, 64)(29, 65)(30, 78)(31, 79)(32, 80)(33, 69)(34, 70)(35, 71)(36, 81)(37, 84)(38, 82)(39, 75)(40, 76)(41, 77)(42, 83)
	local type(s) :: { ( 14, 42, 14, 42, 14, 42 ) }
Outer automorphisms :: reflexible
Dual of E13.765
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 14 e = 42 f = 4
	degree seq :: [ 6^14 ]

E13.770 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 14, 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, Y1^3, (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, (Y3^-1, Y2^-1), (Y2, Y1^-1), Y2^14, Y3^42 ]
Map::
	R = (1, 43, 2, 44, 4, 46)(3, 45, 6, 48, 9, 51)(5, 47, 7, 49, 10, 52)(8, 50, 12, 54, 15, 57)(11, 53, 13, 55, 16, 58)(14, 56, 18, 60, 21, 63)(17, 59, 19, 61, 22, 64)(20, 62, 24, 66, 27, 69)(23, 65, 25, 67, 28, 70)(26, 68, 30, 72, 33, 75)(29, 71, 31, 73, 34, 76)(32, 74, 36, 78, 39, 81)(35, 77, 37, 79, 40, 82)(38, 80, 41, 83, 42, 84)(85, 127, 87, 129, 92, 134, 98, 140, 104, 146, 110, 152, 116, 158, 122, 164, 119, 161, 113, 155, 107, 149, 101, 143, 95, 137, 89, 131)(86, 128, 90, 132, 96, 138, 102, 144, 108, 150, 114, 156, 120, 162, 125, 167, 121, 163, 115, 157, 109, 151, 103, 145, 97, 139, 91, 133)(88, 130, 93, 135, 99, 141, 105, 147, 111, 153, 117, 159, 123, 165, 126, 168, 124, 166, 118, 160, 112, 154, 106, 148, 100, 142, 94, 136)
	L = (1, 88)(2, 85)(3, 93)(4, 86)(5, 94)(6, 87)(7, 89)(8, 99)(9, 90)(10, 91)(11, 100)(12, 92)(13, 95)(14, 105)(15, 96)(16, 97)(17, 106)(18, 98)(19, 101)(20, 111)(21, 102)(22, 103)(23, 112)(24, 104)(25, 107)(26, 117)(27, 108)(28, 109)(29, 118)(30, 110)(31, 113)(32, 123)(33, 114)(34, 115)(35, 124)(36, 116)(37, 119)(38, 126)(39, 120)(40, 121)(41, 122)(42, 125)(43, 127)(44, 128)(45, 129)(46, 130)(47, 131)(48, 132)(49, 133)(50, 134)(51, 135)(52, 136)(53, 137)(54, 138)(55, 139)(56, 140)(57, 141)(58, 142)(59, 143)(60, 144)(61, 145)(62, 146)(63, 147)(64, 148)(65, 149)(66, 150)(67, 151)(68, 152)(69, 153)(70, 154)(71, 155)(72, 156)(73, 157)(74, 158)(75, 159)(76, 160)(77, 161)(78, 162)(79, 163)(80, 164)(81, 165)(82, 166)(83, 167)(84, 168)
	local type(s) :: { ( 2, 84, 2, 84, 2, 84 ), ( 2, 84, 2, 84, 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 E13.773
Graph:: bipartite
	v = 17 e = 84 f = 43
	degree seq :: [ 6^14, 28^3 ]

E13.771 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 14, 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 * Y1)^2, (R * Y3)^2, (Y1, Y2^-1), Y1^3 * Y2^3, (Y3^-1 * Y1^-1)^3, Y1^-8 * Y2^6, Y2^42 ]
Map::
	R = (1, 43, 2, 44, 6, 48, 14, 56, 22, 64, 28, 70, 34, 76, 40, 82, 37, 79, 33, 75, 26, 68, 19, 61, 11, 53, 4, 46)(3, 45, 7, 49, 15, 57, 13, 55, 18, 60, 24, 66, 30, 72, 36, 78, 42, 84, 39, 81, 32, 74, 25, 67, 21, 63, 10, 52)(5, 47, 8, 50, 16, 58, 23, 65, 29, 71, 35, 77, 41, 83, 38, 80, 31, 73, 27, 69, 20, 62, 9, 51, 17, 59, 12, 54)(85, 127, 87, 129, 93, 135, 103, 145, 109, 151, 115, 157, 121, 163, 126, 168, 119, 161, 112, 154, 108, 150, 100, 142, 90, 132, 99, 141, 96, 138, 88, 130, 94, 136, 104, 146, 110, 152, 116, 158, 122, 164, 124, 166, 120, 162, 113, 155, 106, 148, 102, 144, 92, 134, 86, 128, 91, 133, 101, 143, 95, 137, 105, 147, 111, 153, 117, 159, 123, 165, 125, 167, 118, 160, 114, 156, 107, 149, 98, 140, 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, 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) :: { ( 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6 ), ( 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 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 E13.772
Graph:: bipartite
	v = 4 e = 84 f = 56
	degree seq :: [ 28^3, 84 ]

E13.772 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 14, 42})
Quotient :: dipole
Aut^+ = C42 (small group id <42, 6>)
Aut   = D84 (small group id <84, 14>)
|r| :: 2
Presentation :: [ Y1, R^2, Y2^3, (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, (Y2, Y3^-1), Y2 * Y3^14, Y3^2 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3^2, (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, 88, 130)(87, 129, 90, 132, 93, 135)(89, 131, 91, 133, 94, 136)(92, 134, 96, 138, 99, 141)(95, 137, 97, 139, 100, 142)(98, 140, 102, 144, 105, 147)(101, 143, 103, 145, 106, 148)(104, 146, 108, 150, 111, 153)(107, 149, 109, 151, 112, 154)(110, 152, 114, 156, 117, 159)(113, 155, 115, 157, 118, 160)(116, 158, 120, 162, 123, 165)(119, 161, 121, 163, 124, 166)(122, 164, 125, 167, 126, 168)
	L = (1, 87)(2, 90)(3, 92)(4, 93)(5, 85)(6, 96)(7, 86)(8, 98)(9, 99)(10, 88)(11, 89)(12, 102)(13, 91)(14, 104)(15, 105)(16, 94)(17, 95)(18, 108)(19, 97)(20, 110)(21, 111)(22, 100)(23, 101)(24, 114)(25, 103)(26, 116)(27, 117)(28, 106)(29, 107)(30, 120)(31, 109)(32, 122)(33, 123)(34, 112)(35, 113)(36, 125)(37, 115)(38, 124)(39, 126)(40, 118)(41, 119)(42, 121)(43, 127)(44, 128)(45, 129)(46, 130)(47, 131)(48, 132)(49, 133)(50, 134)(51, 135)(52, 136)(53, 137)(54, 138)(55, 139)(56, 140)(57, 141)(58, 142)(59, 143)(60, 144)(61, 145)(62, 146)(63, 147)(64, 148)(65, 149)(66, 150)(67, 151)(68, 152)(69, 153)(70, 154)(71, 155)(72, 156)(73, 157)(74, 158)(75, 159)(76, 160)(77, 161)(78, 162)(79, 163)(80, 164)(81, 165)(82, 166)(83, 167)(84, 168)
	local type(s) :: { ( 28, 84 ), ( 28, 84, 28, 84, 28, 84 ) }
Outer automorphisms :: reflexible
Dual of E13.771
Graph:: simple bipartite
	v = 56 e = 84 f = 4
	degree seq :: [ 2^42, 6^14 ]

E13.773 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 14, 42})
Quotient :: dipole
Aut^+ = C42 (small group id <42, 6>)
Aut   = D84 (small group id <84, 14>)
|r| :: 2
Presentation :: [ Y2, R^2, Y3^3, (R * Y1)^2, (R * Y3)^2, (Y3^-1, Y1^-1), (R * Y2 * Y3^-1)^2, (Y3 * Y2^-1)^3, Y3^-1 * Y1^14, (Y1^-1 * Y3^-1)^14 ]
Map::
	R = (1, 43, 2, 44, 6, 48, 12, 54, 18, 60, 24, 66, 30, 72, 36, 78, 39, 81, 33, 75, 27, 69, 21, 63, 15, 57, 9, 51, 3, 45, 7, 49, 13, 55, 19, 61, 25, 67, 31, 73, 37, 79, 42, 84, 41, 83, 35, 77, 29, 71, 23, 65, 17, 59, 11, 53, 5, 47, 8, 50, 14, 56, 20, 62, 26, 68, 32, 74, 38, 80, 40, 82, 34, 76, 28, 70, 22, 64, 16, 58, 10, 52, 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, 89)(4, 93)(5, 85)(6, 97)(7, 92)(8, 86)(9, 95)(10, 99)(11, 88)(12, 103)(13, 98)(14, 90)(15, 101)(16, 105)(17, 94)(18, 109)(19, 104)(20, 96)(21, 107)(22, 111)(23, 100)(24, 115)(25, 110)(26, 102)(27, 113)(28, 117)(29, 106)(30, 121)(31, 116)(32, 108)(33, 119)(34, 123)(35, 112)(36, 126)(37, 122)(38, 114)(39, 125)(40, 120)(41, 118)(42, 124)(43, 127)(44, 128)(45, 129)(46, 130)(47, 131)(48, 132)(49, 133)(50, 134)(51, 135)(52, 136)(53, 137)(54, 138)(55, 139)(56, 140)(57, 141)(58, 142)(59, 143)(60, 144)(61, 145)(62, 146)(63, 147)(64, 148)(65, 149)(66, 150)(67, 151)(68, 152)(69, 153)(70, 154)(71, 155)(72, 156)(73, 157)(74, 158)(75, 159)(76, 160)(77, 161)(78, 162)(79, 163)(80, 164)(81, 165)(82, 166)(83, 167)(84, 168)
	local type(s) :: { ( 6, 28 ), ( 6, 28, 6, 28, 6, 28, 6, 28, 6, 28, 6, 28, 6, 28, 6, 28, 6, 28, 6, 28, 6, 28, 6, 28, 6, 28, 6, 28, 6, 28, 6, 28, 6, 28, 6, 28, 6, 28, 6, 28, 6, 28, 6, 28, 6, 28, 6, 28, 6, 28, 6, 28, 6, 28, 6, 28, 6, 28, 6, 28, 6, 28, 6, 28, 6, 28, 6, 28, 6, 28, 6, 28, 6, 28, 6, 28, 6, 28, 6, 28, 6, 28, 6, 28 ) }
Outer automorphisms :: reflexible
Dual of E13.770
Graph:: bipartite
	v = 43 e = 84 f = 17
	degree seq :: [ 2^42, 84 ]

E13.774 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 14, 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, Y1^3, (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, (Y3^-1, Y2^-1), (Y2, Y1^-1), Y2^-14 * Y1, Y2^-1 * Y3^2 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 ]
Map::
	R = (1, 43, 2, 44, 4, 46)(3, 45, 6, 48, 9, 51)(5, 47, 7, 49, 10, 52)(8, 50, 12, 54, 15, 57)(11, 53, 13, 55, 16, 58)(14, 56, 18, 60, 21, 63)(17, 59, 19, 61, 22, 64)(20, 62, 24, 66, 27, 69)(23, 65, 25, 67, 28, 70)(26, 68, 30, 72, 33, 75)(29, 71, 31, 73, 34, 76)(32, 74, 36, 78, 39, 81)(35, 77, 37, 79, 40, 82)(38, 80, 42, 84, 41, 83)(85, 127, 87, 129, 92, 134, 98, 140, 104, 146, 110, 152, 116, 158, 122, 164, 121, 163, 115, 157, 109, 151, 103, 145, 97, 139, 91, 133, 86, 128, 90, 132, 96, 138, 102, 144, 108, 150, 114, 156, 120, 162, 126, 168, 124, 166, 118, 160, 112, 154, 106, 148, 100, 142, 94, 136, 88, 130, 93, 135, 99, 141, 105, 147, 111, 153, 117, 159, 123, 165, 125, 167, 119, 161, 113, 155, 107, 149, 101, 143, 95, 137, 89, 131)
	L = (1, 88)(2, 85)(3, 93)(4, 86)(5, 94)(6, 87)(7, 89)(8, 99)(9, 90)(10, 91)(11, 100)(12, 92)(13, 95)(14, 105)(15, 96)(16, 97)(17, 106)(18, 98)(19, 101)(20, 111)(21, 102)(22, 103)(23, 112)(24, 104)(25, 107)(26, 117)(27, 108)(28, 109)(29, 118)(30, 110)(31, 113)(32, 123)(33, 114)(34, 115)(35, 124)(36, 116)(37, 119)(38, 125)(39, 120)(40, 121)(41, 126)(42, 122)(43, 127)(44, 128)(45, 129)(46, 130)(47, 131)(48, 132)(49, 133)(50, 134)(51, 135)(52, 136)(53, 137)(54, 138)(55, 139)(56, 140)(57, 141)(58, 142)(59, 143)(60, 144)(61, 145)(62, 146)(63, 147)(64, 148)(65, 149)(66, 150)(67, 151)(68, 152)(69, 153)(70, 154)(71, 155)(72, 156)(73, 157)(74, 158)(75, 159)(76, 160)(77, 161)(78, 162)(79, 163)(80, 164)(81, 165)(82, 166)(83, 167)(84, 168)
	local type(s) :: { ( 2, 28, 2, 28, 2, 28 ), ( 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 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 E13.775
Graph:: bipartite
	v = 15 e = 84 f = 45
	degree seq :: [ 6^14, 84 ]

E13.775 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 14, 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), (R * Y1)^2, (R * Y3)^2, Y1^-3 * Y3^-3, (R * Y2 * Y3^-1)^2, Y3^-12 * Y1^2, Y3^8 * Y1^-1 * Y3 * Y1^-4, Y1^14, (Y3 * Y2^-1)^42 ]
Map::
	R = (1, 43, 2, 44, 6, 48, 14, 56, 22, 64, 28, 70, 34, 76, 40, 82, 37, 79, 33, 75, 26, 68, 19, 61, 11, 53, 4, 46)(3, 45, 7, 49, 15, 57, 13, 55, 18, 60, 24, 66, 30, 72, 36, 78, 42, 84, 39, 81, 32, 74, 25, 67, 21, 63, 10, 52)(5, 47, 8, 50, 16, 58, 23, 65, 29, 71, 35, 77, 41, 83, 38, 80, 31, 73, 27, 69, 20, 62, 9, 51, 17, 59, 12, 54)(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, 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) :: { ( 6, 84 ), ( 6, 84, 6, 84, 6, 84, 6, 84, 6, 84, 6, 84, 6, 84, 6, 84, 6, 84, 6, 84, 6, 84, 6, 84, 6, 84, 6, 84 ) }
Outer automorphisms :: reflexible
Dual of E13.774
Graph:: simple bipartite
	v = 45 e = 84 f = 15
	degree seq :: [ 2^42, 28^3 ]

E13.776 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {3, 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, T1^3, (F * T2)^2, (F * T1)^2, (T2^-1, T1^-1), T2^15 ]
Map:: non-degenerate
	R = (1, 3, 8, 14, 20, 26, 32, 38, 41, 35, 29, 23, 17, 11, 5)(2, 6, 12, 18, 24, 30, 36, 42, 43, 37, 31, 25, 19, 13, 7)(4, 9, 15, 21, 27, 33, 39, 44, 45, 40, 34, 28, 22, 16, 10)(46, 47, 49)(48, 51, 54)(50, 52, 55)(53, 57, 60)(56, 58, 61)(59, 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, 89)(86, 88, 90)
	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) :: { ( 30^3 ), ( 30^15 ) }
Outer automorphisms :: reflexible
Dual of E13.777
Transitivity :: ET+
Graph:: simple bipartite
	v = 18 e = 45 f = 3
	degree seq :: [ 3^15, 15^3 ]

E13.777 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {3, 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, T1^3, (F * T2)^2, (F * T1)^2, (T2^-1, T1^-1), T2^15 ]
Map:: non-degenerate
	R = (1, 46, 3, 48, 8, 53, 14, 59, 20, 65, 26, 71, 32, 77, 38, 83, 41, 86, 35, 80, 29, 74, 23, 68, 17, 62, 11, 56, 5, 50)(2, 47, 6, 51, 12, 57, 18, 63, 24, 69, 30, 75, 36, 81, 42, 87, 43, 88, 37, 82, 31, 76, 25, 70, 19, 64, 13, 58, 7, 52)(4, 49, 9, 54, 15, 60, 21, 66, 27, 72, 33, 78, 39, 84, 44, 89, 45, 90, 40, 85, 34, 79, 28, 73, 22, 67, 16, 61, 10, 55)
	L = (1, 47)(2, 49)(3, 51)(4, 46)(5, 52)(6, 54)(7, 55)(8, 57)(9, 48)(10, 50)(11, 58)(12, 60)(13, 61)(14, 63)(15, 53)(16, 56)(17, 64)(18, 66)(19, 67)(20, 69)(21, 59)(22, 62)(23, 70)(24, 72)(25, 73)(26, 75)(27, 65)(28, 68)(29, 76)(30, 78)(31, 79)(32, 81)(33, 71)(34, 74)(35, 82)(36, 84)(37, 85)(38, 87)(39, 77)(40, 80)(41, 88)(42, 89)(43, 90)(44, 83)(45, 86)
	local type(s) :: { ( 3, 15, 3, 15, 3, 15, 3, 15, 3, 15, 3, 15, 3, 15, 3, 15, 3, 15, 3, 15, 3, 15, 3, 15, 3, 15, 3, 15, 3, 15 ) }
Outer automorphisms :: reflexible
Dual of E13.776
Transitivity :: ET+ VT+ AT
Graph::
	v = 3 e = 45 f = 18
	degree seq :: [ 30^3 ]

E13.778 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 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, Y3^-1 * Y1^-1, Y1^3, (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, (Y3^-1, Y2^-1), (Y2, Y1^-1), Y3^15, Y2^15 ]
Map::
	R = (1, 46, 2, 47, 4, 49)(3, 48, 6, 51, 9, 54)(5, 50, 7, 52, 10, 55)(8, 53, 12, 57, 15, 60)(11, 56, 13, 58, 16, 61)(14, 59, 18, 63, 21, 66)(17, 62, 19, 64, 22, 67)(20, 65, 24, 69, 27, 72)(23, 68, 25, 70, 28, 73)(26, 71, 30, 75, 33, 78)(29, 74, 31, 76, 34, 79)(32, 77, 36, 81, 39, 84)(35, 80, 37, 82, 40, 85)(38, 83, 42, 87, 44, 89)(41, 86, 43, 88, 45, 90)(91, 136, 93, 138, 98, 143, 104, 149, 110, 155, 116, 161, 122, 167, 128, 173, 131, 176, 125, 170, 119, 164, 113, 158, 107, 152, 101, 146, 95, 140)(92, 137, 96, 141, 102, 147, 108, 153, 114, 159, 120, 165, 126, 171, 132, 177, 133, 178, 127, 172, 121, 166, 115, 160, 109, 154, 103, 148, 97, 142)(94, 139, 99, 144, 105, 150, 111, 156, 117, 162, 123, 168, 129, 174, 134, 179, 135, 180, 130, 175, 124, 169, 118, 163, 112, 157, 106, 151, 100, 145)
	L = (1, 94)(2, 91)(3, 99)(4, 92)(5, 100)(6, 93)(7, 95)(8, 105)(9, 96)(10, 97)(11, 106)(12, 98)(13, 101)(14, 111)(15, 102)(16, 103)(17, 112)(18, 104)(19, 107)(20, 117)(21, 108)(22, 109)(23, 118)(24, 110)(25, 113)(26, 123)(27, 114)(28, 115)(29, 124)(30, 116)(31, 119)(32, 129)(33, 120)(34, 121)(35, 130)(36, 122)(37, 125)(38, 134)(39, 126)(40, 127)(41, 135)(42, 128)(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, 2, 30, 2, 30, 2, 30 ) }
Outer automorphisms :: reflexible
Dual of E13.779
Graph:: bipartite
	v = 18 e = 90 f = 48
	degree seq :: [ 6^15, 30^3 ]

E13.779 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 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 :: [ Y2, R^2, (R * Y1)^2, (R * Y3)^2, (Y3^-1, Y1^-1), (R * Y2 * Y3^-1)^2, (Y3 * Y2^-1)^3, Y3^-15, Y1^15 ]
Map::
	R = (1, 46, 2, 47, 6, 51, 12, 57, 18, 63, 24, 69, 30, 75, 36, 81, 40, 85, 34, 79, 28, 73, 22, 67, 16, 61, 10, 55, 4, 49)(3, 48, 7, 52, 13, 58, 19, 64, 25, 70, 31, 76, 37, 82, 42, 87, 44, 89, 39, 84, 33, 78, 27, 72, 21, 66, 15, 60, 9, 54)(5, 50, 8, 53, 14, 59, 20, 65, 26, 71, 32, 77, 38, 83, 43, 88, 45, 90, 41, 86, 35, 80, 29, 74, 23, 68, 17, 62, 11, 56)(91, 136)(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, 95)(4, 99)(5, 91)(6, 103)(7, 98)(8, 92)(9, 101)(10, 105)(11, 94)(12, 109)(13, 104)(14, 96)(15, 107)(16, 111)(17, 100)(18, 115)(19, 110)(20, 102)(21, 113)(22, 117)(23, 106)(24, 121)(25, 116)(26, 108)(27, 119)(28, 123)(29, 112)(30, 127)(31, 122)(32, 114)(33, 125)(34, 129)(35, 118)(36, 132)(37, 128)(38, 120)(39, 131)(40, 134)(41, 124)(42, 133)(43, 126)(44, 135)(45, 130)(46, 136)(47, 137)(48, 138)(49, 139)(50, 140)(51, 141)(52, 142)(53, 143)(54, 144)(55, 145)(56, 146)(57, 147)(58, 148)(59, 149)(60, 150)(61, 151)(62, 152)(63, 153)(64, 154)(65, 155)(66, 156)(67, 157)(68, 158)(69, 159)(70, 160)(71, 161)(72, 162)(73, 163)(74, 164)(75, 165)(76, 166)(77, 167)(78, 168)(79, 169)(80, 170)(81, 171)(82, 172)(83, 173)(84, 174)(85, 175)(86, 176)(87, 177)(88, 178)(89, 179)(90, 180)
	local type(s) :: { ( 6, 30 ), ( 6, 30, 6, 30, 6, 30, 6, 30, 6, 30, 6, 30, 6, 30, 6, 30, 6, 30, 6, 30, 6, 30, 6, 30, 6, 30, 6, 30, 6, 30 ) }
Outer automorphisms :: reflexible
Dual of E13.778
Graph:: simple bipartite
	v = 48 e = 90 f = 18
	degree seq :: [ 2^45, 30^3 ]

E13.780 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 4, 4})
Quotient :: halfedge^2
Aut^+ = C24 : C2 (small group id <48, 6>)
Aut   = (C24 x C2) : C2 (small group id <96, 111>)
|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 * Y3 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 50, 2, 54, 6, 53, 5, 49)(3, 57, 9, 52, 4, 58, 10, 51)(7, 59, 11, 56, 8, 60, 12, 55)(13, 65, 17, 62, 14, 66, 18, 61)(15, 67, 19, 64, 16, 68, 20, 63)(21, 73, 25, 70, 22, 74, 26, 69)(23, 75, 27, 72, 24, 76, 28, 71)(29, 81, 33, 78, 30, 82, 34, 77)(31, 83, 35, 80, 32, 84, 36, 79)(37, 89, 41, 86, 38, 90, 42, 85)(39, 91, 43, 88, 40, 92, 44, 87)(45, 96, 48, 94, 46, 95, 47, 93)
	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, 37)(34, 38)(35, 39)(36, 40)(41, 45)(42, 46)(43, 47)(44, 48)(49, 52)(50, 56)(51, 54)(53, 55)(57, 62)(58, 61)(59, 64)(60, 63)(65, 70)(66, 69)(67, 72)(68, 71)(73, 78)(74, 77)(75, 80)(76, 79)(81, 86)(82, 85)(83, 88)(84, 87)(89, 94)(90, 93)(91, 96)(92, 95)
	local type(s) :: { ( 8^8 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+ AT
Graph:: bipartite
	v = 12 e = 48 f = 12
	degree seq :: [ 8^12 ]

E13.781 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 4, 4})
Quotient :: halfedge^2
Aut^+ = C24 : C2 (small group id <48, 6>)
Aut   = (C2 x D24) : C2 (small group id <96, 115>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, Y3 * Y2, Y1^4, R * Y2 * R * Y3, (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^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 ]
Map::
	R = (1, 50, 2, 53, 5, 52, 4, 49)(3, 55, 7, 58, 10, 56, 8, 51)(6, 59, 11, 57, 9, 60, 12, 54)(13, 65, 17, 62, 14, 66, 18, 61)(15, 67, 19, 64, 16, 68, 20, 63)(21, 73, 25, 70, 22, 74, 26, 69)(23, 75, 27, 72, 24, 76, 28, 71)(29, 81, 33, 78, 30, 82, 34, 77)(31, 83, 35, 80, 32, 84, 36, 79)(37, 89, 41, 86, 38, 90, 42, 85)(39, 91, 43, 88, 40, 92, 44, 87)(45, 96, 48, 94, 46, 95, 47, 93)
	L = (1, 3)(2, 6)(4, 9)(5, 10)(7, 13)(8, 14)(11, 15)(12, 16)(17, 21)(18, 22)(19, 23)(20, 24)(25, 29)(26, 30)(27, 31)(28, 32)(33, 37)(34, 38)(35, 39)(36, 40)(41, 45)(42, 46)(43, 47)(44, 48)(49, 51)(50, 54)(52, 57)(53, 58)(55, 61)(56, 62)(59, 63)(60, 64)(65, 69)(66, 70)(67, 71)(68, 72)(73, 77)(74, 78)(75, 79)(76, 80)(81, 85)(82, 86)(83, 87)(84, 88)(89, 93)(90, 94)(91, 95)(92, 96)
	local type(s) :: { ( 8^8 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+ AT
Graph:: bipartite
	v = 12 e = 48 f = 12
	degree seq :: [ 8^12 ]

E13.782 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 4, 4})
Quotient :: halfedge^2
Aut^+ = C24 : C2 (small group id <48, 6>)
Aut   = (D8 x S3) : C2 (small group id <96, 118>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, Y1^4, (R * Y1)^2, R * Y3 * R * Y2, (Y1^-1 * Y2 * Y1^-1)^2, Y3 * Y2 * Y3 * Y1^-2 * Y2, Y3 * Y1 * Y3 * Y2 * Y1 * Y2, Y3 * Y1^-1 * Y3 * Y1 * Y2 * Y1 * Y3 * Y1 * Y2 * Y1^-1 * Y2 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 50, 2, 54, 6, 53, 5, 49)(3, 57, 9, 65, 17, 59, 11, 51)(4, 60, 12, 66, 18, 62, 14, 52)(7, 67, 19, 63, 15, 69, 21, 55)(8, 70, 22, 64, 16, 72, 24, 56)(10, 71, 23, 61, 13, 68, 20, 58)(25, 81, 33, 75, 27, 82, 34, 73)(26, 83, 35, 76, 28, 84, 36, 74)(29, 85, 37, 79, 31, 86, 38, 77)(30, 87, 39, 80, 32, 88, 40, 78)(41, 96, 48, 91, 43, 94, 46, 89)(42, 95, 47, 92, 44, 93, 45, 90)
	L = (1, 3)(2, 7)(4, 13)(5, 15)(6, 17)(8, 23)(9, 25)(10, 18)(11, 27)(12, 26)(14, 28)(16, 20)(19, 29)(21, 31)(22, 30)(24, 32)(33, 41)(34, 43)(35, 42)(36, 44)(37, 45)(38, 47)(39, 46)(40, 48)(49, 52)(50, 56)(51, 58)(53, 64)(54, 66)(55, 68)(57, 74)(59, 76)(60, 75)(61, 65)(62, 73)(63, 71)(67, 78)(69, 80)(70, 79)(72, 77)(81, 90)(82, 92)(83, 91)(84, 89)(85, 94)(86, 96)(87, 95)(88, 93)
	local type(s) :: { ( 8^8 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+ AT
Graph:: bipartite
	v = 12 e = 48 f = 12
	degree seq :: [ 8^12 ]

E13.783 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 4, 4})
Quotient :: halfedge^2
Aut^+ = C24 : C2 (small group id <48, 6>)
Aut   = (C8 x S3) : C2 (small group id <96, 123>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, R * Y3 * R * Y2, (R * Y1)^2, Y1^4, Y2 * Y3 * Y2 * Y3 * Y1^2, Y2 * Y1 * Y3 * Y2 * Y1^-1 * Y3, Y2 * Y1^-2 * Y2 * Y1^2, Y2 * Y1 * Y3 * Y1 * Y2 * Y1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 50, 2, 54, 6, 53, 5, 49)(3, 57, 9, 65, 17, 59, 11, 51)(4, 60, 12, 66, 18, 62, 14, 52)(7, 67, 19, 63, 15, 69, 21, 55)(8, 70, 22, 64, 16, 72, 24, 56)(10, 71, 23, 61, 13, 68, 20, 58)(25, 81, 33, 75, 27, 82, 34, 73)(26, 83, 35, 76, 28, 84, 36, 74)(29, 85, 37, 79, 31, 86, 38, 77)(30, 87, 39, 80, 32, 88, 40, 78)(41, 94, 46, 91, 43, 96, 48, 89)(42, 93, 45, 92, 44, 95, 47, 90)
	L = (1, 3)(2, 7)(4, 13)(5, 15)(6, 17)(8, 23)(9, 25)(10, 18)(11, 27)(12, 26)(14, 28)(16, 20)(19, 29)(21, 31)(22, 30)(24, 32)(33, 41)(34, 43)(35, 42)(36, 44)(37, 45)(38, 47)(39, 46)(40, 48)(49, 52)(50, 56)(51, 58)(53, 64)(54, 66)(55, 68)(57, 74)(59, 76)(60, 75)(61, 65)(62, 73)(63, 71)(67, 78)(69, 80)(70, 79)(72, 77)(81, 90)(82, 92)(83, 91)(84, 89)(85, 94)(86, 96)(87, 95)(88, 93)
	local type(s) :: { ( 8^8 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+ AT
Graph:: bipartite
	v = 12 e = 48 f = 12
	degree seq :: [ 8^12 ]

E13.784 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 4, 4})
Quotient :: edge^2
Aut^+ = C24 : C2 (small group id <48, 6>)
Aut   = (C24 x C2) : C2 (small group id <96, 111>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^4, (Y2 * Y1)^2, Y3^2 * Y2 * Y1, Y2 * Y3^2 * Y1, (R * Y3)^2, R * Y1 * R * Y2, Y3^-1 * Y2 * Y3^-1 * Y2 * Y3^-1 * Y2 * Y3^-1 * Y2 * Y3^-1 * Y2 * Y3^-1 * Y2 * Y3^-1 * Y2 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 ]
Map::
	R = (1, 49, 4, 52, 6, 54, 5, 53)(2, 50, 7, 55, 3, 51, 8, 56)(9, 57, 13, 61, 10, 58, 14, 62)(11, 59, 15, 63, 12, 60, 16, 64)(17, 65, 21, 69, 18, 66, 22, 70)(19, 67, 23, 71, 20, 68, 24, 72)(25, 73, 29, 77, 26, 74, 30, 78)(27, 75, 31, 79, 28, 76, 32, 80)(33, 81, 37, 85, 34, 82, 38, 86)(35, 83, 39, 87, 36, 84, 40, 88)(41, 89, 45, 93, 42, 90, 46, 94)(43, 91, 47, 95, 44, 92, 48, 96)(97, 98)(99, 102)(100, 105)(101, 106)(103, 107)(104, 108)(109, 113)(110, 114)(111, 115)(112, 116)(117, 121)(118, 122)(119, 123)(120, 124)(125, 129)(126, 130)(127, 131)(128, 132)(133, 137)(134, 138)(135, 139)(136, 140)(141, 144)(142, 143)(145, 147)(146, 150)(148, 154)(149, 153)(151, 156)(152, 155)(157, 162)(158, 161)(159, 164)(160, 163)(165, 170)(166, 169)(167, 172)(168, 171)(173, 178)(174, 177)(175, 180)(176, 179)(181, 186)(182, 185)(183, 188)(184, 187)(189, 191)(190, 192)
	L = (1, 97)(2, 98)(3, 99)(4, 100)(5, 101)(6, 102)(7, 103)(8, 104)(9, 105)(10, 106)(11, 107)(12, 108)(13, 109)(14, 110)(15, 111)(16, 112)(17, 113)(18, 114)(19, 115)(20, 116)(21, 117)(22, 118)(23, 119)(24, 120)(25, 121)(26, 122)(27, 123)(28, 124)(29, 125)(30, 126)(31, 127)(32, 128)(33, 129)(34, 130)(35, 131)(36, 132)(37, 133)(38, 134)(39, 135)(40, 136)(41, 137)(42, 138)(43, 139)(44, 140)(45, 141)(46, 142)(47, 143)(48, 144)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 16, 16 ), ( 16^8 ) }
Outer automorphisms :: reflexible
Dual of E13.792
Graph:: simple bipartite
	v = 60 e = 96 f = 12
	degree seq :: [ 2^48, 8^12 ]

E13.785 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 4, 4})
Quotient :: edge^2
Aut^+ = C24 : C2 (small group id <48, 6>)
Aut   = (C2 x D24) : C2 (small group id <96, 115>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y2 * Y1, Y3^4, R * Y1 * R * Y2, (R * Y3)^2, (Y3^-1 * Y1 * Y3^-1)^2, Y3^-1 * Y1 * Y3^-1 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 ]
Map::
	R = (1, 49, 3, 51, 8, 56, 4, 52)(2, 50, 5, 53, 11, 59, 6, 54)(7, 55, 13, 61, 9, 57, 14, 62)(10, 58, 15, 63, 12, 60, 16, 64)(17, 65, 21, 69, 18, 66, 22, 70)(19, 67, 23, 71, 20, 68, 24, 72)(25, 73, 29, 77, 26, 74, 30, 78)(27, 75, 31, 79, 28, 76, 32, 80)(33, 81, 37, 85, 34, 82, 38, 86)(35, 83, 39, 87, 36, 84, 40, 88)(41, 89, 45, 93, 42, 90, 46, 94)(43, 91, 47, 95, 44, 92, 48, 96)(97, 98)(99, 103)(100, 105)(101, 106)(102, 108)(104, 107)(109, 113)(110, 114)(111, 115)(112, 116)(117, 121)(118, 122)(119, 123)(120, 124)(125, 129)(126, 130)(127, 131)(128, 132)(133, 137)(134, 138)(135, 139)(136, 140)(141, 144)(142, 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, 179)(176, 180)(181, 185)(182, 186)(183, 187)(184, 188)(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) :: { ( 16, 16 ), ( 16^8 ) }
Outer automorphisms :: reflexible
Dual of E13.793
Graph:: simple bipartite
	v = 60 e = 96 f = 12
	degree seq :: [ 2^48, 8^12 ]

E13.786 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 4, 4})
Quotient :: edge^2
Aut^+ = C24 : C2 (small group id <48, 6>)
Aut   = (D8 x S3) : C2 (small group id <96, 118>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^4, Y3^4, Y3^4, (R * Y3)^2, R * Y1 * R * Y2, (Y3^-1 * Y1 * Y3^-1)^2, Y3^-2 * Y2 * Y1 * Y2 * Y1, Y2 * Y3 * Y2 * Y1 * Y3 * Y1, Y3^-1 * Y1 * Y3^-1 * Y1 * Y3 * Y1 * Y3 * Y2 * Y3^-1 * Y1 * Y3^-1 * Y1 ]
Map::
	R = (1, 49, 4, 52, 14, 62, 5, 53)(2, 50, 7, 55, 22, 70, 8, 56)(3, 51, 10, 58, 17, 65, 11, 59)(6, 54, 18, 66, 9, 57, 19, 67)(12, 60, 25, 73, 15, 63, 26, 74)(13, 61, 27, 75, 16, 64, 28, 76)(20, 68, 29, 77, 23, 71, 30, 78)(21, 69, 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)(99, 105)(100, 108)(101, 111)(102, 113)(103, 116)(104, 119)(106, 117)(107, 120)(109, 114)(110, 118)(112, 115)(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, 157)(149, 160)(151, 165)(152, 168)(153, 166)(154, 167)(155, 164)(156, 163)(158, 161)(159, 162)(169, 178)(170, 180)(171, 179)(172, 177)(173, 182)(174, 184)(175, 183)(176, 181)(185, 190)(186, 189)(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) :: { ( 16, 16 ), ( 16^8 ) }
Outer automorphisms :: reflexible
Dual of E13.794
Graph:: simple bipartite
	v = 60 e = 96 f = 12
	degree seq :: [ 2^48, 8^12 ]

E13.787 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 4, 4})
Quotient :: edge^2
Aut^+ = C24 : C2 (small group id <48, 6>)
Aut   = (C8 x S3) : C2 (small group id <96, 123>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^4, (R * Y3)^2, R * Y1 * R * Y2, (Y3^-1 * Y1 * Y3^-1)^2, Y2 * Y1 * Y2 * Y3^-2 * Y1, Y2 * Y3 * Y2 * Y1 * Y3 * Y1, Y3^-1 * Y1 * Y3^-1 * Y1 * Y3 * Y1 * Y3^-1 * Y2 * Y3^-1 * Y1 * Y3^-1 * Y1 ]
Map::
	R = (1, 49, 4, 52, 14, 62, 5, 53)(2, 50, 7, 55, 22, 70, 8, 56)(3, 51, 10, 58, 17, 65, 11, 59)(6, 54, 18, 66, 9, 57, 19, 67)(12, 60, 25, 73, 15, 63, 26, 74)(13, 61, 27, 75, 16, 64, 28, 76)(20, 68, 29, 77, 23, 71, 30, 78)(21, 69, 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)(99, 105)(100, 108)(101, 111)(102, 113)(103, 116)(104, 119)(106, 117)(107, 120)(109, 114)(110, 118)(112, 115)(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, 157)(149, 160)(151, 165)(152, 168)(153, 166)(154, 167)(155, 164)(156, 163)(158, 161)(159, 162)(169, 178)(170, 180)(171, 179)(172, 177)(173, 182)(174, 184)(175, 183)(176, 181)(185, 189)(186, 190)(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) :: { ( 16, 16 ), ( 16^8 ) }
Outer automorphisms :: reflexible
Dual of E13.795
Graph:: simple bipartite
	v = 60 e = 96 f = 12
	degree seq :: [ 2^48, 8^12 ]

E13.788 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 4, 4})
Quotient :: edge^2
Aut^+ = C24 : C2 (small group id <48, 6>)
Aut   = C2 x (C24 : C2) (small group id <96, 109>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2^-1 * Y1^-1, Y1^4, Y2^2 * Y1^-2, R * Y2 * R * Y1, (R * Y3)^2, (Y2 * Y3 * Y1^-1)^2, 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 ]
Map:: non-degenerate
	R = (1, 49, 4, 52)(2, 50, 6, 54)(3, 51, 7, 55)(5, 53, 10, 58)(8, 56, 13, 61)(9, 57, 14, 62)(11, 59, 15, 63)(12, 60, 16, 64)(17, 65, 21, 69)(18, 66, 22, 70)(19, 67, 23, 71)(20, 68, 24, 72)(25, 73, 29, 77)(26, 74, 30, 78)(27, 75, 31, 79)(28, 76, 32, 80)(33, 81, 37, 85)(34, 82, 38, 86)(35, 83, 39, 87)(36, 84, 40, 88)(41, 89, 45, 93)(42, 90, 46, 94)(43, 91, 47, 95)(44, 92, 48, 96)(97, 98, 101, 99)(100, 104, 106, 105)(102, 107, 103, 108)(109, 113, 110, 114)(111, 115, 112, 116)(117, 121, 118, 122)(119, 123, 120, 124)(125, 129, 126, 130)(127, 131, 128, 132)(133, 137, 134, 138)(135, 139, 136, 140)(141, 144, 142, 143)(145, 147, 149, 146)(148, 153, 154, 152)(150, 156, 151, 155)(157, 162, 158, 161)(159, 164, 160, 163)(165, 170, 166, 169)(167, 172, 168, 171)(173, 178, 174, 177)(175, 180, 176, 179)(181, 186, 182, 185)(183, 188, 184, 187)(189, 191, 190, 192)
	L = (1, 97)(2, 98)(3, 99)(4, 100)(5, 101)(6, 102)(7, 103)(8, 104)(9, 105)(10, 106)(11, 107)(12, 108)(13, 109)(14, 110)(15, 111)(16, 112)(17, 113)(18, 114)(19, 115)(20, 116)(21, 117)(22, 118)(23, 119)(24, 120)(25, 121)(26, 122)(27, 123)(28, 124)(29, 125)(30, 126)(31, 127)(32, 128)(33, 129)(34, 130)(35, 131)(36, 132)(37, 133)(38, 134)(39, 135)(40, 136)(41, 137)(42, 138)(43, 139)(44, 140)(45, 141)(46, 142)(47, 143)(48, 144)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 8^4 ) }
Outer automorphisms :: reflexible
Dual of E13.796
Graph:: simple bipartite
	v = 48 e = 96 f = 24
	degree seq :: [ 4^48 ]

E13.789 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 4, 4})
Quotient :: edge^2
Aut^+ = C24 : C2 (small group id <48, 6>)
Aut   = (C2 x D24) : C2 (small group id <96, 115>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2 * Y1^-1, (R * Y3)^2, R * Y2 * R * Y1, 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^-1 * Y3 * Y2 * Y3 * Y2 * Y3 * Y1^-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, 13, 61)(8, 56, 14, 62)(11, 59, 15, 63)(12, 60, 16, 64)(17, 65, 21, 69)(18, 66, 22, 70)(19, 67, 23, 71)(20, 68, 24, 72)(25, 73, 29, 77)(26, 74, 30, 78)(27, 75, 31, 79)(28, 76, 32, 80)(33, 81, 37, 85)(34, 82, 38, 86)(35, 83, 39, 87)(36, 84, 40, 88)(41, 89, 45, 93)(42, 90, 46, 94)(43, 91, 47, 95)(44, 92, 48, 96)(97, 98, 101, 100)(99, 103, 106, 104)(102, 107, 105, 108)(109, 113, 110, 114)(111, 115, 112, 116)(117, 121, 118, 122)(119, 123, 120, 124)(125, 129, 126, 130)(127, 131, 128, 132)(133, 137, 134, 138)(135, 139, 136, 140)(141, 144, 142, 143)(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, 179, 176, 180)(181, 185, 182, 186)(183, 187, 184, 188)(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) :: { ( 8^4 ) }
Outer automorphisms :: reflexible
Dual of E13.797
Graph:: simple bipartite
	v = 48 e = 96 f = 24
	degree seq :: [ 4^48 ]

E13.790 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 4, 4})
Quotient :: edge^2
Aut^+ = C24 : C2 (small group id <48, 6>)
Aut   = (D8 x S3) : C2 (small group id <96, 118>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y1^-1 * Y2^-2 * Y1^-1, R * Y2 * R * Y1, Y1^-2 * Y2^2, Y1^-1 * Y2 * Y1^-1 * Y2^-1, (R * Y3)^2, Y2 * Y1 * Y2 * Y1^-1, Y1^-1 * Y3 * Y1^-1 * Y2 * Y3 * Y2^-1, Y2^-1 * Y3 * Y2^2 * Y3 * Y2^-1, Y3 * Y2 * Y3 * Y2^-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, 101)(99, 106, 102, 104)(100, 108, 114, 110)(105, 116, 112, 118)(107, 117, 113, 119)(109, 115, 111, 120)(121, 129, 123, 131)(122, 130, 124, 132)(125, 133, 127, 135)(126, 134, 128, 136)(137, 144, 139, 142)(138, 143, 140, 141)(145, 147, 151, 150)(146, 152, 149, 154)(148, 157, 162, 159)(153, 165, 160, 167)(155, 166, 161, 164)(156, 168, 158, 163)(169, 178, 171, 180)(170, 179, 172, 177)(173, 182, 175, 184)(174, 183, 176, 181)(185, 191, 187, 189)(186, 190, 188, 192)
	L = (1, 97)(2, 98)(3, 99)(4, 100)(5, 101)(6, 102)(7, 103)(8, 104)(9, 105)(10, 106)(11, 107)(12, 108)(13, 109)(14, 110)(15, 111)(16, 112)(17, 113)(18, 114)(19, 115)(20, 116)(21, 117)(22, 118)(23, 119)(24, 120)(25, 121)(26, 122)(27, 123)(28, 124)(29, 125)(30, 126)(31, 127)(32, 128)(33, 129)(34, 130)(35, 131)(36, 132)(37, 133)(38, 134)(39, 135)(40, 136)(41, 137)(42, 138)(43, 139)(44, 140)(45, 141)(46, 142)(47, 143)(48, 144)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 8^4 ) }
Outer automorphisms :: reflexible
Dual of E13.798
Graph:: simple bipartite
	v = 48 e = 96 f = 24
	degree seq :: [ 4^48 ]

E13.791 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 4, 4})
Quotient :: edge^2
Aut^+ = C24 : C2 (small group id <48, 6>)
Aut   = QD16 x S3 (small group id <96, 120>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y1 * Y2^2 * Y1, Y2^4, Y2^-2 * Y1^2, (R * Y3)^2, R * Y2 * R * Y1, (Y2 * Y3 * Y2)^2, Y3 * Y2^-1 * Y1 * Y3 * Y2 * Y1^-1, Y2^-1 * Y1^-1 * Y2 * Y1 * Y2^-1 * Y1^-1, Y1^-1 * Y3 * Y2 * Y1 * Y3 * Y2^-1, Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y1 * Y3 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 49, 4, 52)(2, 50, 9, 57)(3, 51, 12, 60)(5, 53, 18, 66)(6, 54, 19, 67)(7, 55, 20, 68)(8, 56, 22, 70)(10, 58, 28, 76)(11, 59, 29, 77)(13, 61, 32, 80)(14, 62, 33, 81)(15, 63, 34, 82)(16, 64, 35, 83)(17, 65, 36, 84)(21, 69, 37, 85)(23, 71, 40, 88)(24, 72, 41, 89)(25, 73, 42, 90)(26, 74, 43, 91)(27, 75, 44, 92)(30, 78, 45, 93)(31, 79, 46, 94)(38, 86, 47, 95)(39, 87, 48, 96)(97, 98, 103, 101)(99, 107, 102, 109)(100, 110, 116, 112)(104, 117, 106, 119)(105, 120, 114, 122)(108, 121, 115, 123)(111, 118, 113, 124)(125, 135, 128, 134)(126, 136, 127, 133)(129, 142, 131, 141)(130, 140, 132, 138)(137, 144, 139, 143)(145, 147, 151, 150)(146, 152, 149, 154)(148, 159, 164, 161)(153, 169, 162, 171)(155, 167, 157, 165)(156, 174, 163, 175)(158, 173, 160, 176)(166, 182, 172, 183)(168, 181, 170, 184)(177, 188, 179, 186)(178, 187, 180, 185)(189, 191, 190, 192)
	L = (1, 97)(2, 98)(3, 99)(4, 100)(5, 101)(6, 102)(7, 103)(8, 104)(9, 105)(10, 106)(11, 107)(12, 108)(13, 109)(14, 110)(15, 111)(16, 112)(17, 113)(18, 114)(19, 115)(20, 116)(21, 117)(22, 118)(23, 119)(24, 120)(25, 121)(26, 122)(27, 123)(28, 124)(29, 125)(30, 126)(31, 127)(32, 128)(33, 129)(34, 130)(35, 131)(36, 132)(37, 133)(38, 134)(39, 135)(40, 136)(41, 137)(42, 138)(43, 139)(44, 140)(45, 141)(46, 142)(47, 143)(48, 144)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 8^4 ) }
Outer automorphisms :: reflexible
Dual of E13.799
Graph:: simple bipartite
	v = 48 e = 96 f = 24
	degree seq :: [ 4^48 ]

E13.792 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 4, 4})
Quotient :: loop^2
Aut^+ = C24 : C2 (small group id <48, 6>)
Aut   = (C24 x C2) : C2 (small group id <96, 111>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^4, (Y2 * Y1)^2, Y3^2 * Y2 * Y1, Y2 * Y3^2 * Y1, (R * Y3)^2, R * Y1 * R * Y2, Y3^-1 * Y2 * Y3^-1 * Y2 * Y3^-1 * Y2 * Y3^-1 * Y2 * Y3^-1 * Y2 * Y3^-1 * Y2 * Y3^-1 * Y2 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 ]
Map::
	R = (1, 49, 97, 145, 4, 52, 100, 148, 6, 54, 102, 150, 5, 53, 101, 149)(2, 50, 98, 146, 7, 55, 103, 151, 3, 51, 99, 147, 8, 56, 104, 152)(9, 57, 105, 153, 13, 61, 109, 157, 10, 58, 106, 154, 14, 62, 110, 158)(11, 59, 107, 155, 15, 63, 111, 159, 12, 60, 108, 156, 16, 64, 112, 160)(17, 65, 113, 161, 21, 69, 117, 165, 18, 66, 114, 162, 22, 70, 118, 166)(19, 67, 115, 163, 23, 71, 119, 167, 20, 68, 116, 164, 24, 72, 120, 168)(25, 73, 121, 169, 29, 77, 125, 173, 26, 74, 122, 170, 30, 78, 126, 174)(27, 75, 123, 171, 31, 79, 127, 175, 28, 76, 124, 172, 32, 80, 128, 176)(33, 81, 129, 177, 37, 85, 133, 181, 34, 82, 130, 178, 38, 86, 134, 182)(35, 83, 131, 179, 39, 87, 135, 183, 36, 84, 132, 180, 40, 88, 136, 184)(41, 89, 137, 185, 45, 93, 141, 189, 42, 90, 138, 186, 46, 94, 142, 190)(43, 91, 139, 187, 47, 95, 143, 191, 44, 92, 140, 188, 48, 96, 144, 192)
	L = (1, 50)(2, 49)(3, 54)(4, 57)(5, 58)(6, 51)(7, 59)(8, 60)(9, 52)(10, 53)(11, 55)(12, 56)(13, 65)(14, 66)(15, 67)(16, 68)(17, 61)(18, 62)(19, 63)(20, 64)(21, 73)(22, 74)(23, 75)(24, 76)(25, 69)(26, 70)(27, 71)(28, 72)(29, 81)(30, 82)(31, 83)(32, 84)(33, 77)(34, 78)(35, 79)(36, 80)(37, 89)(38, 90)(39, 91)(40, 92)(41, 85)(42, 86)(43, 87)(44, 88)(45, 96)(46, 95)(47, 94)(48, 93)(97, 147)(98, 150)(99, 145)(100, 154)(101, 153)(102, 146)(103, 156)(104, 155)(105, 149)(106, 148)(107, 152)(108, 151)(109, 162)(110, 161)(111, 164)(112, 163)(113, 158)(114, 157)(115, 160)(116, 159)(117, 170)(118, 169)(119, 172)(120, 171)(121, 166)(122, 165)(123, 168)(124, 167)(125, 178)(126, 177)(127, 180)(128, 179)(129, 174)(130, 173)(131, 176)(132, 175)(133, 186)(134, 185)(135, 188)(136, 187)(137, 182)(138, 181)(139, 184)(140, 183)(141, 191)(142, 192)(143, 189)(144, 190)
	local type(s) :: { ( 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8 ) }
Outer automorphisms :: reflexible
Dual of E13.784
Transitivity :: VT+
Graph:: bipartite
	v = 12 e = 96 f = 60
	degree seq :: [ 16^12 ]

E13.793 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 4, 4})
Quotient :: loop^2
Aut^+ = C24 : C2 (small group id <48, 6>)
Aut   = (C2 x D24) : C2 (small group id <96, 115>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y2 * Y1, Y3^4, R * Y1 * R * Y2, (R * Y3)^2, (Y3^-1 * Y1 * Y3^-1)^2, Y3^-1 * Y1 * Y3^-1 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 ]
Map::
	R = (1, 49, 97, 145, 3, 51, 99, 147, 8, 56, 104, 152, 4, 52, 100, 148)(2, 50, 98, 146, 5, 53, 101, 149, 11, 59, 107, 155, 6, 54, 102, 150)(7, 55, 103, 151, 13, 61, 109, 157, 9, 57, 105, 153, 14, 62, 110, 158)(10, 58, 106, 154, 15, 63, 111, 159, 12, 60, 108, 156, 16, 64, 112, 160)(17, 65, 113, 161, 21, 69, 117, 165, 18, 66, 114, 162, 22, 70, 118, 166)(19, 67, 115, 163, 23, 71, 119, 167, 20, 68, 116, 164, 24, 72, 120, 168)(25, 73, 121, 169, 29, 77, 125, 173, 26, 74, 122, 170, 30, 78, 126, 174)(27, 75, 123, 171, 31, 79, 127, 175, 28, 76, 124, 172, 32, 80, 128, 176)(33, 81, 129, 177, 37, 85, 133, 181, 34, 82, 130, 178, 38, 86, 134, 182)(35, 83, 131, 179, 39, 87, 135, 183, 36, 84, 132, 180, 40, 88, 136, 184)(41, 89, 137, 185, 45, 93, 141, 189, 42, 90, 138, 186, 46, 94, 142, 190)(43, 91, 139, 187, 47, 95, 143, 191, 44, 92, 140, 188, 48, 96, 144, 192)
	L = (1, 50)(2, 49)(3, 55)(4, 57)(5, 58)(6, 60)(7, 51)(8, 59)(9, 52)(10, 53)(11, 56)(12, 54)(13, 65)(14, 66)(15, 67)(16, 68)(17, 61)(18, 62)(19, 63)(20, 64)(21, 73)(22, 74)(23, 75)(24, 76)(25, 69)(26, 70)(27, 71)(28, 72)(29, 81)(30, 82)(31, 83)(32, 84)(33, 77)(34, 78)(35, 79)(36, 80)(37, 89)(38, 90)(39, 91)(40, 92)(41, 85)(42, 86)(43, 87)(44, 88)(45, 96)(46, 95)(47, 94)(48, 93)(97, 146)(98, 145)(99, 151)(100, 153)(101, 154)(102, 156)(103, 147)(104, 155)(105, 148)(106, 149)(107, 152)(108, 150)(109, 161)(110, 162)(111, 163)(112, 164)(113, 157)(114, 158)(115, 159)(116, 160)(117, 169)(118, 170)(119, 171)(120, 172)(121, 165)(122, 166)(123, 167)(124, 168)(125, 177)(126, 178)(127, 179)(128, 180)(129, 173)(130, 174)(131, 175)(132, 176)(133, 185)(134, 186)(135, 187)(136, 188)(137, 181)(138, 182)(139, 183)(140, 184)(141, 192)(142, 191)(143, 190)(144, 189)
	local type(s) :: { ( 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8 ) }
Outer automorphisms :: reflexible
Dual of E13.785
Transitivity :: VT+
Graph:: bipartite
	v = 12 e = 96 f = 60
	degree seq :: [ 16^12 ]

E13.794 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 4, 4})
Quotient :: loop^2
Aut^+ = C24 : C2 (small group id <48, 6>)
Aut   = (D8 x S3) : C2 (small group id <96, 118>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^4, Y3^4, Y3^4, (R * Y3)^2, R * Y1 * R * Y2, (Y3^-1 * Y1 * Y3^-1)^2, Y3^-2 * Y2 * Y1 * Y2 * Y1, Y2 * Y3 * Y2 * Y1 * Y3 * Y1, Y3^-1 * Y1 * Y3^-1 * Y1 * Y3 * Y1 * Y3 * Y2 * Y3^-1 * Y1 * Y3^-1 * Y1 ]
Map::
	R = (1, 49, 97, 145, 4, 52, 100, 148, 14, 62, 110, 158, 5, 53, 101, 149)(2, 50, 98, 146, 7, 55, 103, 151, 22, 70, 118, 166, 8, 56, 104, 152)(3, 51, 99, 147, 10, 58, 106, 154, 17, 65, 113, 161, 11, 59, 107, 155)(6, 54, 102, 150, 18, 66, 114, 162, 9, 57, 105, 153, 19, 67, 115, 163)(12, 60, 108, 156, 25, 73, 121, 169, 15, 63, 111, 159, 26, 74, 122, 170)(13, 61, 109, 157, 27, 75, 123, 171, 16, 64, 112, 160, 28, 76, 124, 172)(20, 68, 116, 164, 29, 77, 125, 173, 23, 71, 119, 167, 30, 78, 126, 174)(21, 69, 117, 165, 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, 49)(3, 57)(4, 60)(5, 63)(6, 65)(7, 68)(8, 71)(9, 51)(10, 69)(11, 72)(12, 52)(13, 66)(14, 70)(15, 53)(16, 67)(17, 54)(18, 61)(19, 64)(20, 55)(21, 58)(22, 62)(23, 56)(24, 59)(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, 157)(101, 160)(102, 146)(103, 165)(104, 168)(105, 166)(106, 167)(107, 164)(108, 163)(109, 148)(110, 161)(111, 162)(112, 149)(113, 158)(114, 159)(115, 156)(116, 155)(117, 151)(118, 153)(119, 154)(120, 152)(121, 178)(122, 180)(123, 179)(124, 177)(125, 182)(126, 184)(127, 183)(128, 181)(129, 172)(130, 169)(131, 171)(132, 170)(133, 176)(134, 173)(135, 175)(136, 174)(137, 190)(138, 189)(139, 191)(140, 192)(141, 186)(142, 185)(143, 187)(144, 188)
	local type(s) :: { ( 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8 ) }
Outer automorphisms :: reflexible
Dual of E13.786
Transitivity :: VT+
Graph:: bipartite
	v = 12 e = 96 f = 60
	degree seq :: [ 16^12 ]

E13.795 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 4, 4})
Quotient :: loop^2
Aut^+ = C24 : C2 (small group id <48, 6>)
Aut   = (C8 x S3) : C2 (small group id <96, 123>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^4, (R * Y3)^2, R * Y1 * R * Y2, (Y3^-1 * Y1 * Y3^-1)^2, Y2 * Y1 * Y2 * Y3^-2 * Y1, Y2 * Y3 * Y2 * Y1 * Y3 * Y1, Y3^-1 * Y1 * Y3^-1 * Y1 * Y3 * Y1 * Y3^-1 * Y2 * Y3^-1 * Y1 * Y3^-1 * Y1 ]
Map::
	R = (1, 49, 97, 145, 4, 52, 100, 148, 14, 62, 110, 158, 5, 53, 101, 149)(2, 50, 98, 146, 7, 55, 103, 151, 22, 70, 118, 166, 8, 56, 104, 152)(3, 51, 99, 147, 10, 58, 106, 154, 17, 65, 113, 161, 11, 59, 107, 155)(6, 54, 102, 150, 18, 66, 114, 162, 9, 57, 105, 153, 19, 67, 115, 163)(12, 60, 108, 156, 25, 73, 121, 169, 15, 63, 111, 159, 26, 74, 122, 170)(13, 61, 109, 157, 27, 75, 123, 171, 16, 64, 112, 160, 28, 76, 124, 172)(20, 68, 116, 164, 29, 77, 125, 173, 23, 71, 119, 167, 30, 78, 126, 174)(21, 69, 117, 165, 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, 49)(3, 57)(4, 60)(5, 63)(6, 65)(7, 68)(8, 71)(9, 51)(10, 69)(11, 72)(12, 52)(13, 66)(14, 70)(15, 53)(16, 67)(17, 54)(18, 61)(19, 64)(20, 55)(21, 58)(22, 62)(23, 56)(24, 59)(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, 157)(101, 160)(102, 146)(103, 165)(104, 168)(105, 166)(106, 167)(107, 164)(108, 163)(109, 148)(110, 161)(111, 162)(112, 149)(113, 158)(114, 159)(115, 156)(116, 155)(117, 151)(118, 153)(119, 154)(120, 152)(121, 178)(122, 180)(123, 179)(124, 177)(125, 182)(126, 184)(127, 183)(128, 181)(129, 172)(130, 169)(131, 171)(132, 170)(133, 176)(134, 173)(135, 175)(136, 174)(137, 189)(138, 190)(139, 192)(140, 191)(141, 185)(142, 186)(143, 188)(144, 187)
	local type(s) :: { ( 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8 ) }
Outer automorphisms :: reflexible
Dual of E13.787
Transitivity :: VT+
Graph:: bipartite
	v = 12 e = 96 f = 60
	degree seq :: [ 16^12 ]

E13.796 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 4, 4})
Quotient :: loop^2
Aut^+ = C24 : C2 (small group id <48, 6>)
Aut   = C2 x (C24 : C2) (small group id <96, 109>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2^-1 * Y1^-1, Y1^4, Y2^2 * Y1^-2, R * Y2 * R * Y1, (R * Y3)^2, (Y2 * Y3 * Y1^-1)^2, 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 ]
Map:: non-degenerate
	R = (1, 49, 97, 145, 4, 52, 100, 148)(2, 50, 98, 146, 6, 54, 102, 150)(3, 51, 99, 147, 7, 55, 103, 151)(5, 53, 101, 149, 10, 58, 106, 154)(8, 56, 104, 152, 13, 61, 109, 157)(9, 57, 105, 153, 14, 62, 110, 158)(11, 59, 107, 155, 15, 63, 111, 159)(12, 60, 108, 156, 16, 64, 112, 160)(17, 65, 113, 161, 21, 69, 117, 165)(18, 66, 114, 162, 22, 70, 118, 166)(19, 67, 115, 163, 23, 71, 119, 167)(20, 68, 116, 164, 24, 72, 120, 168)(25, 73, 121, 169, 29, 77, 125, 173)(26, 74, 122, 170, 30, 78, 126, 174)(27, 75, 123, 171, 31, 79, 127, 175)(28, 76, 124, 172, 32, 80, 128, 176)(33, 81, 129, 177, 37, 85, 133, 181)(34, 82, 130, 178, 38, 86, 134, 182)(35, 83, 131, 179, 39, 87, 135, 183)(36, 84, 132, 180, 40, 88, 136, 184)(41, 89, 137, 185, 45, 93, 141, 189)(42, 90, 138, 186, 46, 94, 142, 190)(43, 91, 139, 187, 47, 95, 143, 191)(44, 92, 140, 188, 48, 96, 144, 192)
	L = (1, 50)(2, 53)(3, 49)(4, 56)(5, 51)(6, 59)(7, 60)(8, 58)(9, 52)(10, 57)(11, 55)(12, 54)(13, 65)(14, 66)(15, 67)(16, 68)(17, 62)(18, 61)(19, 64)(20, 63)(21, 73)(22, 74)(23, 75)(24, 76)(25, 70)(26, 69)(27, 72)(28, 71)(29, 81)(30, 82)(31, 83)(32, 84)(33, 78)(34, 77)(35, 80)(36, 79)(37, 89)(38, 90)(39, 91)(40, 92)(41, 86)(42, 85)(43, 88)(44, 87)(45, 96)(46, 95)(47, 93)(48, 94)(97, 147)(98, 145)(99, 149)(100, 153)(101, 146)(102, 156)(103, 155)(104, 148)(105, 154)(106, 152)(107, 150)(108, 151)(109, 162)(110, 161)(111, 164)(112, 163)(113, 157)(114, 158)(115, 159)(116, 160)(117, 170)(118, 169)(119, 172)(120, 171)(121, 165)(122, 166)(123, 167)(124, 168)(125, 178)(126, 177)(127, 180)(128, 179)(129, 173)(130, 174)(131, 175)(132, 176)(133, 186)(134, 185)(135, 188)(136, 187)(137, 181)(138, 182)(139, 183)(140, 184)(141, 191)(142, 192)(143, 190)(144, 189)
	local type(s) :: { ( 4^8 ) }
Outer automorphisms :: reflexible
Dual of E13.788
Transitivity :: VT+
Graph:: bipartite
	v = 24 e = 96 f = 48
	degree seq :: [ 8^24 ]

E13.797 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 4, 4})
Quotient :: loop^2
Aut^+ = C24 : C2 (small group id <48, 6>)
Aut   = (C2 x D24) : C2 (small group id <96, 115>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2 * Y1^-1, (R * Y3)^2, R * Y2 * R * Y1, 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^-1 * Y3 * Y2 * Y3 * Y2 * Y3 * Y1^-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, 13, 61, 109, 157)(8, 56, 104, 152, 14, 62, 110, 158)(11, 59, 107, 155, 15, 63, 111, 159)(12, 60, 108, 156, 16, 64, 112, 160)(17, 65, 113, 161, 21, 69, 117, 165)(18, 66, 114, 162, 22, 70, 118, 166)(19, 67, 115, 163, 23, 71, 119, 167)(20, 68, 116, 164, 24, 72, 120, 168)(25, 73, 121, 169, 29, 77, 125, 173)(26, 74, 122, 170, 30, 78, 126, 174)(27, 75, 123, 171, 31, 79, 127, 175)(28, 76, 124, 172, 32, 80, 128, 176)(33, 81, 129, 177, 37, 85, 133, 181)(34, 82, 130, 178, 38, 86, 134, 182)(35, 83, 131, 179, 39, 87, 135, 183)(36, 84, 132, 180, 40, 88, 136, 184)(41, 89, 137, 185, 45, 93, 141, 189)(42, 90, 138, 186, 46, 94, 142, 190)(43, 91, 139, 187, 47, 95, 143, 191)(44, 92, 140, 188, 48, 96, 144, 192)
	L = (1, 50)(2, 53)(3, 55)(4, 49)(5, 52)(6, 59)(7, 58)(8, 51)(9, 60)(10, 56)(11, 57)(12, 54)(13, 65)(14, 66)(15, 67)(16, 68)(17, 62)(18, 61)(19, 64)(20, 63)(21, 73)(22, 74)(23, 75)(24, 76)(25, 70)(26, 69)(27, 72)(28, 71)(29, 81)(30, 82)(31, 83)(32, 84)(33, 78)(34, 77)(35, 80)(36, 79)(37, 89)(38, 90)(39, 91)(40, 92)(41, 86)(42, 85)(43, 88)(44, 87)(45, 96)(46, 95)(47, 93)(48, 94)(97, 146)(98, 149)(99, 151)(100, 145)(101, 148)(102, 155)(103, 154)(104, 147)(105, 156)(106, 152)(107, 153)(108, 150)(109, 161)(110, 162)(111, 163)(112, 164)(113, 158)(114, 157)(115, 160)(116, 159)(117, 169)(118, 170)(119, 171)(120, 172)(121, 166)(122, 165)(123, 168)(124, 167)(125, 177)(126, 178)(127, 179)(128, 180)(129, 174)(130, 173)(131, 176)(132, 175)(133, 185)(134, 186)(135, 187)(136, 188)(137, 182)(138, 181)(139, 184)(140, 183)(141, 192)(142, 191)(143, 189)(144, 190)
	local type(s) :: { ( 4^8 ) }
Outer automorphisms :: reflexible
Dual of E13.789
Transitivity :: VT+
Graph:: bipartite
	v = 24 e = 96 f = 48
	degree seq :: [ 8^24 ]

E13.798 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 4, 4})
Quotient :: loop^2
Aut^+ = C24 : C2 (small group id <48, 6>)
Aut   = (D8 x S3) : C2 (small group id <96, 118>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y1^-1 * Y2^-2 * Y1^-1, R * Y2 * R * Y1, Y1^-2 * Y2^2, Y1^-1 * Y2 * Y1^-1 * Y2^-1, (R * Y3)^2, Y2 * Y1 * Y2 * Y1^-1, Y1^-1 * Y3 * Y1^-1 * Y2 * Y3 * Y2^-1, Y2^-1 * Y3 * Y2^2 * Y3 * Y2^-1, Y3 * Y2 * Y3 * Y2^-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, 58)(4, 60)(5, 49)(6, 56)(7, 53)(8, 51)(9, 68)(10, 54)(11, 69)(12, 66)(13, 67)(14, 52)(15, 72)(16, 70)(17, 71)(18, 62)(19, 63)(20, 64)(21, 65)(22, 57)(23, 59)(24, 61)(25, 81)(26, 82)(27, 83)(28, 84)(29, 85)(30, 86)(31, 87)(32, 88)(33, 75)(34, 76)(35, 73)(36, 74)(37, 79)(38, 80)(39, 77)(40, 78)(41, 96)(42, 95)(43, 94)(44, 93)(45, 90)(46, 89)(47, 92)(48, 91)(97, 147)(98, 152)(99, 151)(100, 157)(101, 154)(102, 145)(103, 150)(104, 149)(105, 165)(106, 146)(107, 166)(108, 168)(109, 162)(110, 163)(111, 148)(112, 167)(113, 164)(114, 159)(115, 156)(116, 155)(117, 160)(118, 161)(119, 153)(120, 158)(121, 178)(122, 179)(123, 180)(124, 177)(125, 182)(126, 183)(127, 184)(128, 181)(129, 170)(130, 171)(131, 172)(132, 169)(133, 174)(134, 175)(135, 176)(136, 173)(137, 191)(138, 190)(139, 189)(140, 192)(141, 185)(142, 188)(143, 187)(144, 186)
	local type(s) :: { ( 4^8 ) }
Outer automorphisms :: reflexible
Dual of E13.790
Transitivity :: VT+
Graph:: simple bipartite
	v = 24 e = 96 f = 48
	degree seq :: [ 8^24 ]

E13.799 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 4, 4})
Quotient :: loop^2
Aut^+ = C24 : C2 (small group id <48, 6>)
Aut   = QD16 x S3 (small group id <96, 120>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y1 * Y2^2 * Y1, Y2^4, Y2^-2 * Y1^2, (R * Y3)^2, R * Y2 * R * Y1, (Y2 * Y3 * Y2)^2, Y3 * Y2^-1 * Y1 * Y3 * Y2 * Y1^-1, Y2^-1 * Y1^-1 * Y2 * Y1 * Y2^-1 * Y1^-1, Y1^-1 * Y3 * Y2 * Y1 * Y3 * Y2^-1, Y3 * Y2^-1 * Y3 * Y2^-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, 12, 60, 108, 156)(5, 53, 101, 149, 18, 66, 114, 162)(6, 54, 102, 150, 19, 67, 115, 163)(7, 55, 103, 151, 20, 68, 116, 164)(8, 56, 104, 152, 22, 70, 118, 166)(10, 58, 106, 154, 28, 76, 124, 172)(11, 59, 107, 155, 29, 77, 125, 173)(13, 61, 109, 157, 32, 80, 128, 176)(14, 62, 110, 158, 33, 81, 129, 177)(15, 63, 111, 159, 34, 82, 130, 178)(16, 64, 112, 160, 35, 83, 131, 179)(17, 65, 113, 161, 36, 84, 132, 180)(21, 69, 117, 165, 37, 85, 133, 181)(23, 71, 119, 167, 40, 88, 136, 184)(24, 72, 120, 168, 41, 89, 137, 185)(25, 73, 121, 169, 42, 90, 138, 186)(26, 74, 122, 170, 43, 91, 139, 187)(27, 75, 123, 171, 44, 92, 140, 188)(30, 78, 126, 174, 45, 93, 141, 189)(31, 79, 127, 175, 46, 94, 142, 190)(38, 86, 134, 182, 47, 95, 143, 191)(39, 87, 135, 183, 48, 96, 144, 192)
	L = (1, 50)(2, 55)(3, 59)(4, 62)(5, 49)(6, 61)(7, 53)(8, 69)(9, 72)(10, 71)(11, 54)(12, 73)(13, 51)(14, 68)(15, 70)(16, 52)(17, 76)(18, 74)(19, 75)(20, 64)(21, 58)(22, 65)(23, 56)(24, 66)(25, 67)(26, 57)(27, 60)(28, 63)(29, 87)(30, 88)(31, 85)(32, 86)(33, 94)(34, 92)(35, 93)(36, 90)(37, 78)(38, 77)(39, 80)(40, 79)(41, 96)(42, 82)(43, 95)(44, 84)(45, 81)(46, 83)(47, 89)(48, 91)(97, 147)(98, 152)(99, 151)(100, 159)(101, 154)(102, 145)(103, 150)(104, 149)(105, 169)(106, 146)(107, 167)(108, 174)(109, 165)(110, 173)(111, 164)(112, 176)(113, 148)(114, 171)(115, 175)(116, 161)(117, 155)(118, 182)(119, 157)(120, 181)(121, 162)(122, 184)(123, 153)(124, 183)(125, 160)(126, 163)(127, 156)(128, 158)(129, 188)(130, 187)(131, 186)(132, 185)(133, 170)(134, 172)(135, 166)(136, 168)(137, 178)(138, 177)(139, 180)(140, 179)(141, 191)(142, 192)(143, 190)(144, 189)
	local type(s) :: { ( 4^8 ) }
Outer automorphisms :: reflexible
Dual of E13.791
Transitivity :: VT+
Graph:: simple bipartite
	v = 24 e = 96 f = 48
	degree seq :: [ 8^24 ]

E13.800 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 4})
Quotient :: dipole
Aut^+ = C24 : C2 (small group id <48, 6>)
Aut   = (C2 x D24) : C2 (small group id <96, 115>)
|r| :: 2
Presentation :: [ Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, R^2, Y1^2, Y2^4, (R * Y1)^2, (Y3^-1 * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, (Y2^-1 * Y1 * Y2^-1)^2, (Y3 * Y2^-1)^4, Y2^-1 * Y1 * Y2^-1 * 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 ]
Map::
	R = (1, 49, 2, 50)(3, 51, 7, 55)(4, 52, 9, 57)(5, 53, 10, 58)(6, 54, 12, 60)(8, 56, 11, 59)(13, 61, 17, 65)(14, 62, 18, 66)(15, 63, 19, 67)(16, 64, 20, 68)(21, 69, 25, 73)(22, 70, 26, 74)(23, 71, 27, 75)(24, 72, 28, 76)(29, 77, 33, 81)(30, 78, 34, 82)(31, 79, 35, 83)(32, 80, 36, 84)(37, 85, 41, 89)(38, 86, 42, 90)(39, 87, 43, 91)(40, 88, 44, 92)(45, 93, 48, 96)(46, 94, 47, 95)(97, 145, 99, 147, 104, 152, 100, 148)(98, 146, 101, 149, 107, 155, 102, 150)(103, 151, 109, 157, 105, 153, 110, 158)(106, 154, 111, 159, 108, 156, 112, 160)(113, 161, 117, 165, 114, 162, 118, 166)(115, 163, 119, 167, 116, 164, 120, 168)(121, 169, 125, 173, 122, 170, 126, 174)(123, 171, 127, 175, 124, 172, 128, 176)(129, 177, 133, 181, 130, 178, 134, 182)(131, 179, 135, 183, 132, 180, 136, 184)(137, 185, 141, 189, 138, 186, 142, 190)(139, 187, 143, 191, 140, 188, 144, 192)
	L = (1, 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, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 36 e = 96 f = 36
	degree seq :: [ 4^24, 8^12 ]

E13.801 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 4})
Quotient :: dipole
Aut^+ = C24 : C2 (small group id <48, 6>)
Aut   = (C2 x D24) : C2 (small group id <96, 115>)
|r| :: 2
Presentation :: [ Y1^2, Y3^2, R^2, Y2^2 * Y3, (Y1 * Y3)^2, (R * Y1)^2, (R * Y2)^2, (R * Y3)^2, 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 ]
Map:: non-degenerate
	R = (1, 49, 2, 50)(3, 51, 9, 57)(4, 52, 7, 55)(5, 53, 10, 58)(6, 54, 11, 59)(8, 56, 12, 60)(13, 61, 17, 65)(14, 62, 18, 66)(15, 63, 19, 67)(16, 64, 20, 68)(21, 69, 25, 73)(22, 70, 26, 74)(23, 71, 27, 75)(24, 72, 28, 76)(29, 77, 33, 81)(30, 78, 34, 82)(31, 79, 35, 83)(32, 80, 36, 84)(37, 85, 41, 89)(38, 86, 42, 90)(39, 87, 43, 91)(40, 88, 44, 92)(45, 93, 48, 96)(46, 94, 47, 95)(97, 145, 99, 147, 100, 148, 101, 149)(98, 146, 102, 150, 103, 151, 104, 152)(105, 153, 109, 157, 106, 154, 110, 158)(107, 155, 111, 159, 108, 156, 112, 160)(113, 161, 117, 165, 114, 162, 118, 166)(115, 163, 119, 167, 116, 164, 120, 168)(121, 169, 125, 173, 122, 170, 126, 174)(123, 171, 127, 175, 124, 172, 128, 176)(129, 177, 133, 181, 130, 178, 134, 182)(131, 179, 135, 183, 132, 180, 136, 184)(137, 185, 141, 189, 138, 186, 142, 190)(139, 187, 143, 191, 140, 188, 144, 192)
	L = (1, 100)(2, 103)(3, 101)(4, 97)(5, 99)(6, 104)(7, 98)(8, 102)(9, 106)(10, 105)(11, 108)(12, 107)(13, 110)(14, 109)(15, 112)(16, 111)(17, 114)(18, 113)(19, 116)(20, 115)(21, 118)(22, 117)(23, 120)(24, 119)(25, 122)(26, 121)(27, 124)(28, 123)(29, 126)(30, 125)(31, 128)(32, 127)(33, 130)(34, 129)(35, 132)(36, 131)(37, 134)(38, 133)(39, 136)(40, 135)(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, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 36 e = 96 f = 36
	degree seq :: [ 4^24, 8^12 ]

E13.802 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 4})
Quotient :: dipole
Aut^+ = C24 : C2 (small group id <48, 6>)
Aut   = (D8 x S3) : C2 (small group id <96, 118>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^3, Y2^4, (Y3^-1 * Y1)^2, (R * Y1)^2, Y2 * Y3^-1 * Y2^-1 * Y3^-1, (R * Y3)^2, (R * Y2 * Y3^-1)^2, Y2^-1 * Y1 * Y2^2 * Y1 * Y2^-1, Y2 * Y1 * Y2 * Y3^-1 * Y1 * Y2^-1 * Y1 * Y2 * Y1 ]
Map:: non-degenerate
	R = (1, 49, 2, 50)(3, 51, 11, 59)(4, 52, 10, 58)(5, 53, 16, 64)(6, 54, 8, 56)(7, 55, 18, 66)(9, 57, 23, 71)(12, 60, 19, 67)(13, 61, 28, 76)(14, 62, 26, 74)(15, 63, 31, 79)(17, 65, 32, 80)(20, 68, 36, 84)(21, 69, 34, 82)(22, 70, 39, 87)(24, 72, 40, 88)(25, 73, 41, 89)(27, 75, 45, 93)(29, 77, 38, 86)(30, 78, 37, 85)(33, 81, 44, 92)(35, 83, 43, 91)(42, 90, 48, 96)(46, 94, 47, 95)(97, 145, 99, 147, 108, 156, 101, 149)(98, 146, 103, 151, 115, 163, 105, 153)(100, 148, 110, 158, 125, 173, 111, 159)(102, 150, 109, 157, 126, 174, 113, 161)(104, 152, 117, 165, 133, 181, 118, 166)(106, 154, 116, 164, 134, 182, 120, 168)(107, 155, 121, 169, 112, 160, 123, 171)(114, 162, 129, 177, 119, 167, 131, 179)(122, 170, 139, 187, 127, 175, 140, 188)(124, 172, 138, 186, 128, 176, 142, 190)(130, 178, 141, 189, 135, 183, 137, 185)(132, 180, 143, 191, 136, 184, 144, 192)
	L = (1, 100)(2, 104)(3, 109)(4, 102)(5, 113)(6, 97)(7, 116)(8, 106)(9, 120)(10, 98)(11, 122)(12, 125)(13, 110)(14, 99)(15, 101)(16, 127)(17, 111)(18, 130)(19, 133)(20, 117)(21, 103)(22, 105)(23, 135)(24, 118)(25, 138)(26, 124)(27, 142)(28, 107)(29, 126)(30, 108)(31, 128)(32, 112)(33, 143)(34, 132)(35, 144)(36, 114)(37, 134)(38, 115)(39, 136)(40, 119)(41, 131)(42, 139)(43, 121)(44, 123)(45, 129)(46, 140)(47, 141)(48, 137)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible selfdual
Graph:: simple bipartite
	v = 36 e = 96 f = 36
	degree seq :: [ 4^24, 8^12 ]

E13.803 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 4})
Quotient :: dipole
Aut^+ = C24 : C2 (small group id <48, 6>)
Aut   = (D8 x S3) : C2 (small group id <96, 118>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^4, Y3^-1 * Y2^-1 * Y3^-1 * Y2, (R * Y3)^2, (R * Y1)^2, (Y3^-1 * Y1)^2, R * Y2 * Y3 * R * Y2^-1, Y2 * Y3^2 * Y2 * Y3^-1, Y2^-1 * Y1 * Y2^2 * Y1 * Y2^-1, Y1 * Y2 * Y1 * Y2^-1 * Y3^-1 * Y1 * Y2 * Y1 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 49, 2, 50)(3, 51, 11, 59)(4, 52, 10, 58)(5, 53, 17, 65)(6, 54, 8, 56)(7, 55, 20, 68)(9, 57, 26, 74)(12, 60, 21, 69)(13, 61, 32, 80)(14, 62, 30, 78)(15, 63, 28, 76)(16, 64, 33, 81)(18, 66, 34, 82)(19, 67, 24, 72)(22, 70, 38, 86)(23, 71, 36, 84)(25, 73, 39, 87)(27, 75, 40, 88)(29, 77, 41, 89)(31, 79, 45, 93)(35, 83, 43, 91)(37, 85, 44, 92)(42, 90, 48, 96)(46, 94, 47, 95)(97, 145, 99, 147, 108, 156, 101, 149)(98, 146, 103, 151, 117, 165, 105, 153)(100, 148, 110, 158, 115, 163, 112, 160)(102, 150, 109, 157, 111, 159, 114, 162)(104, 152, 119, 167, 124, 172, 121, 169)(106, 154, 118, 166, 120, 168, 123, 171)(107, 155, 125, 173, 113, 161, 127, 175)(116, 164, 131, 179, 122, 170, 133, 181)(126, 174, 139, 187, 129, 177, 140, 188)(128, 176, 138, 186, 130, 178, 142, 190)(132, 180, 137, 185, 135, 183, 141, 189)(134, 182, 143, 191, 136, 184, 144, 192)
	L = (1, 100)(2, 104)(3, 109)(4, 111)(5, 114)(6, 97)(7, 118)(8, 120)(9, 123)(10, 98)(11, 126)(12, 115)(13, 112)(14, 99)(15, 108)(16, 101)(17, 129)(18, 110)(19, 102)(20, 132)(21, 124)(22, 121)(23, 103)(24, 117)(25, 105)(26, 135)(27, 119)(28, 106)(29, 138)(30, 130)(31, 142)(32, 107)(33, 128)(34, 113)(35, 143)(36, 136)(37, 144)(38, 116)(39, 134)(40, 122)(41, 131)(42, 140)(43, 125)(44, 127)(45, 133)(46, 139)(47, 141)(48, 137)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible selfdual
Graph:: simple bipartite
	v = 36 e = 96 f = 36
	degree seq :: [ 4^24, 8^12 ]

E13.804 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 4, 4})
Quotient :: halfedge^2
Aut^+ = (C12 x C2) : C2 (small group id <48, 14>)
Aut   = (C2 x C2 x C2 x S3) : C2 (small group id <96, 89>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, Y3 * Y2, (R * Y1)^2, R * Y2 * R * Y3, Y1^4, (Y1^-1 * Y2 * Y1^-1)^2, Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 ]
Map::
	R = (1, 50, 2, 53, 5, 52, 4, 49)(3, 55, 7, 58, 10, 56, 8, 51)(6, 59, 11, 57, 9, 60, 12, 54)(13, 65, 17, 62, 14, 66, 18, 61)(15, 67, 19, 64, 16, 68, 20, 63)(21, 73, 25, 70, 22, 74, 26, 69)(23, 75, 27, 72, 24, 76, 28, 71)(29, 81, 33, 78, 30, 82, 34, 77)(31, 83, 35, 80, 32, 84, 36, 79)(37, 89, 41, 86, 38, 90, 42, 85)(39, 91, 43, 88, 40, 92, 44, 87)(45, 95, 47, 94, 46, 96, 48, 93)
	L = (1, 3)(2, 6)(4, 9)(5, 10)(7, 13)(8, 14)(11, 15)(12, 16)(17, 21)(18, 22)(19, 23)(20, 24)(25, 29)(26, 30)(27, 31)(28, 32)(33, 37)(34, 38)(35, 39)(36, 40)(41, 45)(42, 46)(43, 47)(44, 48)(49, 51)(50, 54)(52, 57)(53, 58)(55, 61)(56, 62)(59, 63)(60, 64)(65, 69)(66, 70)(67, 71)(68, 72)(73, 77)(74, 78)(75, 79)(76, 80)(81, 85)(82, 86)(83, 87)(84, 88)(89, 93)(90, 94)(91, 95)(92, 96)
	local type(s) :: { ( 8^8 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+ AT
Graph:: bipartite
	v = 12 e = 48 f = 12
	degree seq :: [ 8^12 ]

E13.805 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 4, 4})
Quotient :: halfedge^2
Aut^+ = C2 x C4 x S3 (small group id <48, 35>)
Aut   = (C2 x C4 x S3) : C2 (small group id <96, 91>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, (Y3 * Y2)^2, Y1^4, (R * Y1)^2, R * Y3 * R * Y2, (Y1^-1 * Y2 * Y1^-1)^2, (Y1^-1 * Y3 * Y1^-1)^2, Y3 * Y1 * Y3 * Y2 * Y1^-1 * Y2, Y3 * Y1 * Y3 * Y1 * Y2 * Y1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 50, 2, 54, 6, 53, 5, 49)(3, 57, 9, 64, 16, 59, 11, 51)(4, 60, 12, 65, 17, 61, 13, 52)(7, 66, 18, 62, 14, 68, 20, 55)(8, 69, 21, 63, 15, 70, 22, 56)(10, 67, 19, 76, 28, 73, 25, 58)(23, 81, 33, 74, 26, 82, 34, 71)(24, 83, 35, 75, 27, 84, 36, 72)(29, 85, 37, 79, 31, 86, 38, 77)(30, 87, 39, 80, 32, 88, 40, 78)(41, 93, 45, 91, 43, 95, 47, 89)(42, 94, 46, 92, 44, 96, 48, 90)
	L = (1, 3)(2, 7)(4, 10)(5, 14)(6, 16)(8, 19)(9, 23)(11, 26)(12, 24)(13, 27)(15, 25)(17, 28)(18, 29)(20, 31)(21, 30)(22, 32)(33, 41)(34, 43)(35, 42)(36, 44)(37, 45)(38, 47)(39, 46)(40, 48)(49, 52)(50, 56)(51, 58)(53, 63)(54, 65)(55, 67)(57, 72)(59, 75)(60, 71)(61, 74)(62, 73)(64, 76)(66, 78)(68, 80)(69, 77)(70, 79)(81, 90)(82, 92)(83, 89)(84, 91)(85, 94)(86, 96)(87, 93)(88, 95)
	local type(s) :: { ( 8^8 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+ AT
Graph:: bipartite
	v = 12 e = 48 f = 12
	degree seq :: [ 8^12 ]

E13.806 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 4, 4})
Quotient :: halfedge^2
Aut^+ = (C12 x C2) : C2 (small group id <48, 14>)
Aut   = (C2 x C4 x S3) : C2 (small group id <96, 91>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, Y1^4, (Y2 * Y3)^2, R * Y3 * R * Y2, (R * Y1)^2, (Y1^-1 * Y2 * Y1^-1)^2, (Y1^-1 * Y3 * Y1^-1)^2, Y3 * Y1 * Y3 * Y2 * Y1^-1 * Y2, Y3 * Y1 * Y3 * Y1 * Y2 * Y1 * Y3 * Y1 * Y2 * Y1^-1 * Y2 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 50, 2, 54, 6, 53, 5, 49)(3, 57, 9, 64, 16, 59, 11, 51)(4, 60, 12, 65, 17, 61, 13, 52)(7, 66, 18, 62, 14, 68, 20, 55)(8, 69, 21, 63, 15, 70, 22, 56)(10, 67, 19, 76, 28, 73, 25, 58)(23, 81, 33, 74, 26, 82, 34, 71)(24, 83, 35, 75, 27, 84, 36, 72)(29, 85, 37, 79, 31, 86, 38, 77)(30, 87, 39, 80, 32, 88, 40, 78)(41, 96, 48, 91, 43, 94, 46, 89)(42, 95, 47, 92, 44, 93, 45, 90)
	L = (1, 3)(2, 7)(4, 10)(5, 14)(6, 16)(8, 19)(9, 23)(11, 26)(12, 24)(13, 27)(15, 25)(17, 28)(18, 29)(20, 31)(21, 30)(22, 32)(33, 41)(34, 43)(35, 42)(36, 44)(37, 45)(38, 47)(39, 46)(40, 48)(49, 52)(50, 56)(51, 58)(53, 63)(54, 65)(55, 67)(57, 72)(59, 75)(60, 71)(61, 74)(62, 73)(64, 76)(66, 78)(68, 80)(69, 77)(70, 79)(81, 90)(82, 92)(83, 89)(84, 91)(85, 94)(86, 96)(87, 93)(88, 95)
	local type(s) :: { ( 8^8 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+ AT
Graph:: bipartite
	v = 12 e = 48 f = 12
	degree seq :: [ 8^12 ]

E13.807 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 4, 4})
Quotient :: halfedge^2
Aut^+ = (C12 x C2) : C2 (small group id <48, 14>)
Aut   = (C12 x C2 x C2) : C2 (small group id <96, 137>)
|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^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 50, 2, 54, 6, 53, 5, 49)(3, 57, 9, 52, 4, 58, 10, 51)(7, 59, 11, 56, 8, 60, 12, 55)(13, 65, 17, 62, 14, 66, 18, 61)(15, 67, 19, 64, 16, 68, 20, 63)(21, 73, 25, 70, 22, 74, 26, 69)(23, 75, 27, 72, 24, 76, 28, 71)(29, 81, 33, 78, 30, 82, 34, 77)(31, 83, 35, 80, 32, 84, 36, 79)(37, 89, 41, 86, 38, 90, 42, 85)(39, 91, 43, 88, 40, 92, 44, 87)(45, 95, 47, 94, 46, 96, 48, 93)
	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, 37)(34, 38)(35, 39)(36, 40)(41, 45)(42, 46)(43, 47)(44, 48)(49, 52)(50, 56)(51, 54)(53, 55)(57, 62)(58, 61)(59, 64)(60, 63)(65, 70)(66, 69)(67, 72)(68, 71)(73, 78)(74, 77)(75, 80)(76, 79)(81, 86)(82, 85)(83, 88)(84, 87)(89, 94)(90, 93)(91, 96)(92, 95)
	local type(s) :: { ( 8^8 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+ AT
Graph:: bipartite
	v = 12 e = 48 f = 12
	degree seq :: [ 8^12 ]

E13.808 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 4, 4})
Quotient :: halfedge^2
Aut^+ = (C12 x C2) : C2 (small group id <48, 14>)
Aut   = (C2 x C2 x C2 x S3) : C2 (small group id <96, 144>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, (Y3 * Y2)^2, (R * Y1)^2, R * Y3 * R * Y2, Y1^4, (Y1^-1 * Y2 * Y1^-1)^2, (Y1^-1 * Y3 * Y1^-1)^2, Y3 * Y1 * Y3 * Y2 * Y1^-1 * Y2, Y3 * Y1 * Y3 * Y1 * Y2 * Y1 * Y3 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 50, 2, 54, 6, 53, 5, 49)(3, 57, 9, 64, 16, 59, 11, 51)(4, 60, 12, 65, 17, 61, 13, 52)(7, 66, 18, 62, 14, 68, 20, 55)(8, 69, 21, 63, 15, 70, 22, 56)(10, 67, 19, 76, 28, 73, 25, 58)(23, 81, 33, 74, 26, 82, 34, 71)(24, 83, 35, 75, 27, 84, 36, 72)(29, 85, 37, 79, 31, 86, 38, 77)(30, 87, 39, 80, 32, 88, 40, 78)(41, 94, 46, 91, 43, 96, 48, 89)(42, 93, 45, 92, 44, 95, 47, 90)
	L = (1, 3)(2, 7)(4, 10)(5, 14)(6, 16)(8, 19)(9, 23)(11, 26)(12, 24)(13, 27)(15, 25)(17, 28)(18, 29)(20, 31)(21, 30)(22, 32)(33, 41)(34, 43)(35, 42)(36, 44)(37, 45)(38, 47)(39, 46)(40, 48)(49, 52)(50, 56)(51, 58)(53, 63)(54, 65)(55, 67)(57, 72)(59, 75)(60, 71)(61, 74)(62, 73)(64, 76)(66, 78)(68, 80)(69, 77)(70, 79)(81, 90)(82, 92)(83, 89)(84, 91)(85, 94)(86, 96)(87, 93)(88, 95)
	local type(s) :: { ( 8^8 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+ AT
Graph:: bipartite
	v = 12 e = 48 f = 12
	degree seq :: [ 8^12 ]

E13.809 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 4, 4})
Quotient :: edge^2
Aut^+ = (C12 x C2) : C2 (small group id <48, 14>)
Aut   = (C2 x C2 x C2 x S3) : C2 (small group id <96, 89>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y2 * Y1, R * Y1 * R * Y2, (R * Y3)^2, Y3^4, (Y3^-1 * Y1 * Y3^-1)^2, Y3^-1 * Y1 * Y3^-1 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 ]
Map::
	R = (1, 49, 3, 51, 8, 56, 4, 52)(2, 50, 5, 53, 11, 59, 6, 54)(7, 55, 13, 61, 9, 57, 14, 62)(10, 58, 15, 63, 12, 60, 16, 64)(17, 65, 21, 69, 18, 66, 22, 70)(19, 67, 23, 71, 20, 68, 24, 72)(25, 73, 29, 77, 26, 74, 30, 78)(27, 75, 31, 79, 28, 76, 32, 80)(33, 81, 37, 85, 34, 82, 38, 86)(35, 83, 39, 87, 36, 84, 40, 88)(41, 89, 45, 93, 42, 90, 46, 94)(43, 91, 47, 95, 44, 92, 48, 96)(97, 98)(99, 103)(100, 105)(101, 106)(102, 108)(104, 107)(109, 113)(110, 114)(111, 115)(112, 116)(117, 121)(118, 122)(119, 123)(120, 124)(125, 129)(126, 130)(127, 131)(128, 132)(133, 137)(134, 138)(135, 139)(136, 140)(141, 143)(142, 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, 179)(176, 180)(181, 185)(182, 186)(183, 187)(184, 188)(189, 191)(190, 192)
	L = (1, 97)(2, 98)(3, 99)(4, 100)(5, 101)(6, 102)(7, 103)(8, 104)(9, 105)(10, 106)(11, 107)(12, 108)(13, 109)(14, 110)(15, 111)(16, 112)(17, 113)(18, 114)(19, 115)(20, 116)(21, 117)(22, 118)(23, 119)(24, 120)(25, 121)(26, 122)(27, 123)(28, 124)(29, 125)(30, 126)(31, 127)(32, 128)(33, 129)(34, 130)(35, 131)(36, 132)(37, 133)(38, 134)(39, 135)(40, 136)(41, 137)(42, 138)(43, 139)(44, 140)(45, 141)(46, 142)(47, 143)(48, 144)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 16, 16 ), ( 16^8 ) }
Outer automorphisms :: reflexible
Dual of E13.820
Graph:: simple bipartite
	v = 60 e = 96 f = 12
	degree seq :: [ 2^48, 8^12 ]

E13.810 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 4, 4})
Quotient :: edge^2
Aut^+ = C2 x C4 x S3 (small group id <48, 35>)
Aut   = (C2 x C4 x S3) : C2 (small group id <96, 91>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, (Y2 * Y1)^2, Y3^4, (R * Y3)^2, R * Y1 * R * Y2, (Y3^-1 * Y1 * Y3^-1)^2, (Y3^-1 * Y2 * Y3^-1)^2, Y2 * Y3 * Y2 * Y1 * Y3^-1 * Y1, Y3^-1 * Y1 * Y3^-1 * Y1 * Y3 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 ]
Map::
	R = (1, 49, 4, 52, 13, 61, 5, 53)(2, 50, 7, 55, 20, 68, 8, 56)(3, 51, 9, 57, 23, 71, 10, 58)(6, 54, 16, 64, 28, 76, 17, 65)(11, 59, 24, 72, 14, 62, 25, 73)(12, 60, 26, 74, 15, 63, 27, 75)(18, 66, 29, 77, 21, 69, 30, 78)(19, 67, 31, 79, 22, 70, 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)(99, 102)(100, 107)(101, 110)(103, 114)(104, 117)(105, 115)(106, 118)(108, 112)(109, 116)(111, 113)(119, 124)(120, 129)(121, 131)(122, 130)(123, 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, 163)(152, 166)(153, 162)(154, 165)(155, 160)(157, 167)(158, 161)(164, 172)(168, 178)(169, 180)(170, 177)(171, 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) :: { ( 16, 16 ), ( 16^8 ) }
Outer automorphisms :: reflexible
Dual of E13.821
Graph:: simple bipartite
	v = 60 e = 96 f = 12
	degree seq :: [ 2^48, 8^12 ]

E13.811 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 4, 4})
Quotient :: edge^2
Aut^+ = (C12 x C2) : C2 (small group id <48, 14>)
Aut   = (C2 x C4 x S3) : C2 (small group id <96, 91>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^4, (Y2 * Y1)^2, R * Y1 * R * Y2, (R * Y3)^2, (Y3^-1 * Y1 * Y3^-1)^2, (Y3^-1 * Y2 * Y3^-1)^2, Y2 * Y3 * Y2 * Y1 * Y3^-1 * Y1, Y3^-1 * Y1 * Y3^-1 * Y1 * Y3 * Y1 * Y3 * Y2 * Y3^-1 * Y1 * Y3^-1 * Y1 ]
Map::
	R = (1, 49, 4, 52, 13, 61, 5, 53)(2, 50, 7, 55, 20, 68, 8, 56)(3, 51, 9, 57, 23, 71, 10, 58)(6, 54, 16, 64, 28, 76, 17, 65)(11, 59, 24, 72, 14, 62, 25, 73)(12, 60, 26, 74, 15, 63, 27, 75)(18, 66, 29, 77, 21, 69, 30, 78)(19, 67, 31, 79, 22, 70, 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)(99, 102)(100, 107)(101, 110)(103, 114)(104, 117)(105, 115)(106, 118)(108, 112)(109, 116)(111, 113)(119, 124)(120, 129)(121, 131)(122, 130)(123, 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, 163)(152, 166)(153, 162)(154, 165)(155, 160)(157, 167)(158, 161)(164, 172)(168, 178)(169, 180)(170, 177)(171, 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) :: { ( 16, 16 ), ( 16^8 ) }
Outer automorphisms :: reflexible
Dual of E13.822
Graph:: simple bipartite
	v = 60 e = 96 f = 12
	degree seq :: [ 2^48, 8^12 ]

E13.812 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 4, 4})
Quotient :: edge^2
Aut^+ = (C12 x C2) : C2 (small group id <48, 14>)
Aut   = (C12 x C2 x C2) : C2 (small group id <96, 137>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^4, (Y2 * Y1)^2, Y3^2 * Y2 * Y1, Y2 * Y3^2 * Y1, (R * Y3)^2, R * Y1 * R * Y2, Y3^-1 * Y2 * Y3^-1 * Y2 * Y3^-1 * Y2 * Y3^-1 * Y2 * Y3^-1 * Y2 * Y3^-1 * Y2 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 ]
Map::
	R = (1, 49, 4, 52, 6, 54, 5, 53)(2, 50, 7, 55, 3, 51, 8, 56)(9, 57, 13, 61, 10, 58, 14, 62)(11, 59, 15, 63, 12, 60, 16, 64)(17, 65, 21, 69, 18, 66, 22, 70)(19, 67, 23, 71, 20, 68, 24, 72)(25, 73, 29, 77, 26, 74, 30, 78)(27, 75, 31, 79, 28, 76, 32, 80)(33, 81, 37, 85, 34, 82, 38, 86)(35, 83, 39, 87, 36, 84, 40, 88)(41, 89, 45, 93, 42, 90, 46, 94)(43, 91, 47, 95, 44, 92, 48, 96)(97, 98)(99, 102)(100, 105)(101, 106)(103, 107)(104, 108)(109, 113)(110, 114)(111, 115)(112, 116)(117, 121)(118, 122)(119, 123)(120, 124)(125, 129)(126, 130)(127, 131)(128, 132)(133, 137)(134, 138)(135, 139)(136, 140)(141, 143)(142, 144)(145, 147)(146, 150)(148, 154)(149, 153)(151, 156)(152, 155)(157, 162)(158, 161)(159, 164)(160, 163)(165, 170)(166, 169)(167, 172)(168, 171)(173, 178)(174, 177)(175, 180)(176, 179)(181, 186)(182, 185)(183, 188)(184, 187)(189, 192)(190, 191)
	L = (1, 97)(2, 98)(3, 99)(4, 100)(5, 101)(6, 102)(7, 103)(8, 104)(9, 105)(10, 106)(11, 107)(12, 108)(13, 109)(14, 110)(15, 111)(16, 112)(17, 113)(18, 114)(19, 115)(20, 116)(21, 117)(22, 118)(23, 119)(24, 120)(25, 121)(26, 122)(27, 123)(28, 124)(29, 125)(30, 126)(31, 127)(32, 128)(33, 129)(34, 130)(35, 131)(36, 132)(37, 133)(38, 134)(39, 135)(40, 136)(41, 137)(42, 138)(43, 139)(44, 140)(45, 141)(46, 142)(47, 143)(48, 144)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 16, 16 ), ( 16^8 ) }
Outer automorphisms :: reflexible
Dual of E13.823
Graph:: simple bipartite
	v = 60 e = 96 f = 12
	degree seq :: [ 2^48, 8^12 ]

E13.813 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 4, 4})
Quotient :: edge^2
Aut^+ = (C12 x C2) : C2 (small group id <48, 14>)
Aut   = (C2 x C2 x C2 x S3) : C2 (small group id <96, 144>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, (Y2 * Y1)^2, (R * Y3)^2, Y3^4, R * Y1 * R * Y2, (Y3^-1 * Y1 * Y3^-1)^2, Y2 * Y3 * Y2 * Y1 * Y3^-1 * Y1, (Y3^-1 * Y2 * Y3^-1)^2, Y3^-1 * Y1 * Y3^-1 * Y1 * Y3 * Y1 * Y3^-1 * Y2 * Y3^-1 * Y1 * Y3^-1 * Y1 ]
Map::
	R = (1, 49, 4, 52, 13, 61, 5, 53)(2, 50, 7, 55, 20, 68, 8, 56)(3, 51, 9, 57, 23, 71, 10, 58)(6, 54, 16, 64, 28, 76, 17, 65)(11, 59, 24, 72, 14, 62, 25, 73)(12, 60, 26, 74, 15, 63, 27, 75)(18, 66, 29, 77, 21, 69, 30, 78)(19, 67, 31, 79, 22, 70, 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)(99, 102)(100, 107)(101, 110)(103, 114)(104, 117)(105, 115)(106, 118)(108, 112)(109, 116)(111, 113)(119, 124)(120, 129)(121, 131)(122, 130)(123, 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, 163)(152, 166)(153, 162)(154, 165)(155, 160)(157, 167)(158, 161)(164, 172)(168, 178)(169, 180)(170, 177)(171, 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) :: { ( 16, 16 ), ( 16^8 ) }
Outer automorphisms :: reflexible
Dual of E13.824
Graph:: simple bipartite
	v = 60 e = 96 f = 12
	degree seq :: [ 2^48, 8^12 ]

E13.814 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 4, 4})
Quotient :: edge^2
Aut^+ = C2 x C4 x S3 (small group id <48, 35>)
Aut   = ((C4 x C2) : C2) x S3 (small group id <96, 87>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2^2 * Y1^2, (Y2^-1, Y1^-1), (R * Y3)^2, R * Y2 * R * Y1, Y2^4, Y1^4, (Y3 * Y1^-2)^2, Y2^-1 * Y3 * Y1 * Y2 * Y3 * Y1^-1, Y1 * Y3 * Y1 * Y2^-1 * Y3 * Y2^-1, Y3 * Y1^-1 * Y3 * Y1^-1 * 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, 101)(99, 104, 102, 106)(100, 108, 114, 110)(105, 116, 112, 118)(107, 117, 113, 119)(109, 115, 111, 120)(121, 129, 123, 131)(122, 130, 124, 132)(125, 133, 127, 135)(126, 134, 128, 136)(137, 141, 139, 143)(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, 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) :: { ( 8^4 ) }
Outer automorphisms :: reflexible
Dual of E13.825
Graph:: simple bipartite
	v = 48 e = 96 f = 24
	degree seq :: [ 4^48 ]

E13.815 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 4, 4})
Quotient :: edge^2
Aut^+ = (C12 x C2) : C2 (small group id <48, 14>)
Aut   = ((C4 x C2) : C2) x S3 (small group id <96, 87>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2^-2 * Y1^2, Y1^-2 * Y2^-2, (Y2^-1, Y1^-1), Y1^-2 * Y2^2, (R * Y3)^2, (Y2 * Y1^-1)^2, R * Y2 * R * Y1, (Y1^-1 * Y3 * Y1^-1)^2, Y2^-1 * Y3 * Y2^-1 * Y1^-1 * Y3 * Y1^-1, Y3 * Y2^-1 * Y3 * Y2^-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, 101)(99, 104, 102, 106)(100, 108, 114, 110)(105, 116, 112, 118)(107, 117, 113, 119)(109, 115, 111, 120)(121, 129, 123, 131)(122, 130, 124, 132)(125, 133, 127, 135)(126, 134, 128, 136)(137, 144, 139, 142)(138, 143, 140, 141)(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, 191, 187, 189)(186, 192, 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 ) }
Outer automorphisms :: reflexible
Dual of E13.826
Graph:: simple bipartite
	v = 48 e = 96 f = 24
	degree seq :: [ 4^48 ]

E13.816 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 4, 4})
Quotient :: edge^2
Aut^+ = (C12 x C2) : C2 (small group id <48, 14>)
Aut   = (C2 x C2 x C2 x S3) : C2 (small group id <96, 89>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2 * Y1^-1, (R * Y3)^2, R * Y2 * R * Y1, Y1^4, Y2^4, (Y1^-1 * Y3 * Y2^-1)^2, Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1^-2 * 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 ]
Map:: polytopal non-degenerate
	R = (1, 49, 3, 51)(2, 50, 6, 54)(4, 52, 9, 57)(5, 53, 10, 58)(7, 55, 13, 61)(8, 56, 14, 62)(11, 59, 15, 63)(12, 60, 16, 64)(17, 65, 21, 69)(18, 66, 22, 70)(19, 67, 23, 71)(20, 68, 24, 72)(25, 73, 29, 77)(26, 74, 30, 78)(27, 75, 31, 79)(28, 76, 32, 80)(33, 81, 37, 85)(34, 82, 38, 86)(35, 83, 39, 87)(36, 84, 40, 88)(41, 89, 45, 93)(42, 90, 46, 94)(43, 91, 47, 95)(44, 92, 48, 96)(97, 98, 101, 100)(99, 103, 106, 104)(102, 107, 105, 108)(109, 113, 110, 114)(111, 115, 112, 116)(117, 121, 118, 122)(119, 123, 120, 124)(125, 129, 126, 130)(127, 131, 128, 132)(133, 137, 134, 138)(135, 139, 136, 140)(141, 143, 142, 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, 179, 176, 180)(181, 185, 182, 186)(183, 187, 184, 188)(189, 191, 190, 192)
	L = (1, 97)(2, 98)(3, 99)(4, 100)(5, 101)(6, 102)(7, 103)(8, 104)(9, 105)(10, 106)(11, 107)(12, 108)(13, 109)(14, 110)(15, 111)(16, 112)(17, 113)(18, 114)(19, 115)(20, 116)(21, 117)(22, 118)(23, 119)(24, 120)(25, 121)(26, 122)(27, 123)(28, 124)(29, 125)(30, 126)(31, 127)(32, 128)(33, 129)(34, 130)(35, 131)(36, 132)(37, 133)(38, 134)(39, 135)(40, 136)(41, 137)(42, 138)(43, 139)(44, 140)(45, 141)(46, 142)(47, 143)(48, 144)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 8^4 ) }
Outer automorphisms :: reflexible
Dual of E13.827
Graph:: simple bipartite
	v = 48 e = 96 f = 24
	degree seq :: [ 4^48 ]

E13.817 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 4, 4})
Quotient :: edge^2
Aut^+ = (C12 x C2) : C2 (small group id <48, 14>)
Aut   = C2 x ((C12 x C2) : C2) (small group id <96, 134>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2^-1 * Y1^-1, R * Y2 * R * Y1, Y1^4, (R * Y3)^2, Y2^4, (Y3 * Y1^-2)^2, Y2 * Y3 * Y1 * Y2^-1 * Y3 * Y1^-1, Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 49, 4, 52)(2, 50, 6, 54)(3, 51, 7, 55)(5, 53, 10, 58)(8, 56, 13, 61)(9, 57, 14, 62)(11, 59, 15, 63)(12, 60, 16, 64)(17, 65, 21, 69)(18, 66, 22, 70)(19, 67, 23, 71)(20, 68, 24, 72)(25, 73, 29, 77)(26, 74, 30, 78)(27, 75, 31, 79)(28, 76, 32, 80)(33, 81, 37, 85)(34, 82, 38, 86)(35, 83, 39, 87)(36, 84, 40, 88)(41, 89, 45, 93)(42, 90, 46, 94)(43, 91, 47, 95)(44, 92, 48, 96)(97, 98, 101, 99)(100, 104, 106, 105)(102, 107, 103, 108)(109, 113, 110, 114)(111, 115, 112, 116)(117, 121, 118, 122)(119, 123, 120, 124)(125, 129, 126, 130)(127, 131, 128, 132)(133, 137, 134, 138)(135, 139, 136, 140)(141, 143, 142, 144)(145, 147, 149, 146)(148, 153, 154, 152)(150, 156, 151, 155)(157, 162, 158, 161)(159, 164, 160, 163)(165, 170, 166, 169)(167, 172, 168, 171)(173, 178, 174, 177)(175, 180, 176, 179)(181, 186, 182, 185)(183, 188, 184, 187)(189, 192, 190, 191)
	L = (1, 97)(2, 98)(3, 99)(4, 100)(5, 101)(6, 102)(7, 103)(8, 104)(9, 105)(10, 106)(11, 107)(12, 108)(13, 109)(14, 110)(15, 111)(16, 112)(17, 113)(18, 114)(19, 115)(20, 116)(21, 117)(22, 118)(23, 119)(24, 120)(25, 121)(26, 122)(27, 123)(28, 124)(29, 125)(30, 126)(31, 127)(32, 128)(33, 129)(34, 130)(35, 131)(36, 132)(37, 133)(38, 134)(39, 135)(40, 136)(41, 137)(42, 138)(43, 139)(44, 140)(45, 141)(46, 142)(47, 143)(48, 144)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 8^4 ) }
Outer automorphisms :: reflexible
Dual of E13.828
Graph:: simple bipartite
	v = 48 e = 96 f = 24
	degree seq :: [ 4^48 ]

E13.818 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 4, 4})
Quotient :: edge^2
Aut^+ = C2 x ((C6 x C2) : C2) (small group id <48, 43>)
Aut   = (C2 x C2 x C2 x S3) : C2 (small group id <96, 144>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2^2 * Y1^2, Y1^4, (Y2^-1, Y1^-1), Y2^4, R * Y2 * R * Y1, (R * Y3)^2, Y3 * Y2^-2 * Y3 * Y1^-2, Y1^-1 * Y3 * Y1^-1 * Y2^-1 * Y3 * Y2^-1, Y3 * Y2^-1 * Y3 * Y2^-1 * 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, 101)(99, 104, 102, 106)(100, 108, 114, 110)(105, 116, 112, 118)(107, 117, 113, 119)(109, 115, 111, 120)(121, 129, 123, 131)(122, 130, 124, 132)(125, 133, 127, 135)(126, 134, 128, 136)(137, 143, 139, 141)(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, 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) :: { ( 8^4 ) }
Outer automorphisms :: reflexible
Dual of E13.829
Graph:: simple bipartite
	v = 48 e = 96 f = 24
	degree seq :: [ 4^48 ]

E13.819 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 4, 4})
Quotient :: edge^2
Aut^+ = (C12 x C2) : C2 (small group id <48, 14>)
Aut   = (C2 x C2 x C2 x S3) : C2 (small group id <96, 144>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2^2 * Y1^2, (Y2^-1, Y1^-1), Y1^4, (R * Y3)^2, R * Y2 * R * Y1, (Y3 * Y1^-2)^2, Y1 * Y3 * Y1 * Y2^-1 * Y3 * Y2^-1, Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1 * Y3 * Y2^-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, 101)(99, 104, 102, 106)(100, 108, 114, 110)(105, 116, 112, 118)(107, 117, 113, 119)(109, 115, 111, 120)(121, 129, 123, 131)(122, 130, 124, 132)(125, 133, 127, 135)(126, 134, 128, 136)(137, 142, 139, 144)(138, 141, 140, 143)(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, 189, 187, 191)(186, 190, 188, 192)
	L = (1, 97)(2, 98)(3, 99)(4, 100)(5, 101)(6, 102)(7, 103)(8, 104)(9, 105)(10, 106)(11, 107)(12, 108)(13, 109)(14, 110)(15, 111)(16, 112)(17, 113)(18, 114)(19, 115)(20, 116)(21, 117)(22, 118)(23, 119)(24, 120)(25, 121)(26, 122)(27, 123)(28, 124)(29, 125)(30, 126)(31, 127)(32, 128)(33, 129)(34, 130)(35, 131)(36, 132)(37, 133)(38, 134)(39, 135)(40, 136)(41, 137)(42, 138)(43, 139)(44, 140)(45, 141)(46, 142)(47, 143)(48, 144)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 8^4 ) }
Outer automorphisms :: reflexible
Dual of E13.830
Graph:: simple bipartite
	v = 48 e = 96 f = 24
	degree seq :: [ 4^48 ]

E13.820 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 4, 4})
Quotient :: loop^2
Aut^+ = (C12 x C2) : C2 (small group id <48, 14>)
Aut   = (C2 x C2 x C2 x S3) : C2 (small group id <96, 89>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y2 * Y1, R * Y1 * R * Y2, (R * Y3)^2, Y3^4, (Y3^-1 * Y1 * Y3^-1)^2, Y3^-1 * Y1 * Y3^-1 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 ]
Map::
	R = (1, 49, 97, 145, 3, 51, 99, 147, 8, 56, 104, 152, 4, 52, 100, 148)(2, 50, 98, 146, 5, 53, 101, 149, 11, 59, 107, 155, 6, 54, 102, 150)(7, 55, 103, 151, 13, 61, 109, 157, 9, 57, 105, 153, 14, 62, 110, 158)(10, 58, 106, 154, 15, 63, 111, 159, 12, 60, 108, 156, 16, 64, 112, 160)(17, 65, 113, 161, 21, 69, 117, 165, 18, 66, 114, 162, 22, 70, 118, 166)(19, 67, 115, 163, 23, 71, 119, 167, 20, 68, 116, 164, 24, 72, 120, 168)(25, 73, 121, 169, 29, 77, 125, 173, 26, 74, 122, 170, 30, 78, 126, 174)(27, 75, 123, 171, 31, 79, 127, 175, 28, 76, 124, 172, 32, 80, 128, 176)(33, 81, 129, 177, 37, 85, 133, 181, 34, 82, 130, 178, 38, 86, 134, 182)(35, 83, 131, 179, 39, 87, 135, 183, 36, 84, 132, 180, 40, 88, 136, 184)(41, 89, 137, 185, 45, 93, 141, 189, 42, 90, 138, 186, 46, 94, 142, 190)(43, 91, 139, 187, 47, 95, 143, 191, 44, 92, 140, 188, 48, 96, 144, 192)
	L = (1, 50)(2, 49)(3, 55)(4, 57)(5, 58)(6, 60)(7, 51)(8, 59)(9, 52)(10, 53)(11, 56)(12, 54)(13, 65)(14, 66)(15, 67)(16, 68)(17, 61)(18, 62)(19, 63)(20, 64)(21, 73)(22, 74)(23, 75)(24, 76)(25, 69)(26, 70)(27, 71)(28, 72)(29, 81)(30, 82)(31, 83)(32, 84)(33, 77)(34, 78)(35, 79)(36, 80)(37, 89)(38, 90)(39, 91)(40, 92)(41, 85)(42, 86)(43, 87)(44, 88)(45, 95)(46, 96)(47, 93)(48, 94)(97, 146)(98, 145)(99, 151)(100, 153)(101, 154)(102, 156)(103, 147)(104, 155)(105, 148)(106, 149)(107, 152)(108, 150)(109, 161)(110, 162)(111, 163)(112, 164)(113, 157)(114, 158)(115, 159)(116, 160)(117, 169)(118, 170)(119, 171)(120, 172)(121, 165)(122, 166)(123, 167)(124, 168)(125, 177)(126, 178)(127, 179)(128, 180)(129, 173)(130, 174)(131, 175)(132, 176)(133, 185)(134, 186)(135, 187)(136, 188)(137, 181)(138, 182)(139, 183)(140, 184)(141, 191)(142, 192)(143, 189)(144, 190)
	local type(s) :: { ( 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8 ) }
Outer automorphisms :: reflexible
Dual of E13.809
Transitivity :: VT+
Graph:: bipartite
	v = 12 e = 96 f = 60
	degree seq :: [ 16^12 ]

E13.821 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 4, 4})
Quotient :: loop^2
Aut^+ = C2 x C4 x S3 (small group id <48, 35>)
Aut   = (C2 x C4 x S3) : C2 (small group id <96, 91>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, (Y2 * Y1)^2, Y3^4, (R * Y3)^2, R * Y1 * R * Y2, (Y3^-1 * Y1 * Y3^-1)^2, (Y3^-1 * Y2 * Y3^-1)^2, Y2 * Y3 * Y2 * Y1 * Y3^-1 * Y1, Y3^-1 * Y1 * Y3^-1 * Y1 * Y3 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 ]
Map::
	R = (1, 49, 97, 145, 4, 52, 100, 148, 13, 61, 109, 157, 5, 53, 101, 149)(2, 50, 98, 146, 7, 55, 103, 151, 20, 68, 116, 164, 8, 56, 104, 152)(3, 51, 99, 147, 9, 57, 105, 153, 23, 71, 119, 167, 10, 58, 106, 154)(6, 54, 102, 150, 16, 64, 112, 160, 28, 76, 124, 172, 17, 65, 113, 161)(11, 59, 107, 155, 24, 72, 120, 168, 14, 62, 110, 158, 25, 73, 121, 169)(12, 60, 108, 156, 26, 74, 122, 170, 15, 63, 111, 159, 27, 75, 123, 171)(18, 66, 114, 162, 29, 77, 125, 173, 21, 69, 117, 165, 30, 78, 126, 174)(19, 67, 115, 163, 31, 79, 127, 175, 22, 70, 118, 166, 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, 49)(3, 54)(4, 59)(5, 62)(6, 51)(7, 66)(8, 69)(9, 67)(10, 70)(11, 52)(12, 64)(13, 68)(14, 53)(15, 65)(16, 60)(17, 63)(18, 55)(19, 57)(20, 61)(21, 56)(22, 58)(23, 76)(24, 81)(25, 83)(26, 82)(27, 84)(28, 71)(29, 85)(30, 87)(31, 86)(32, 88)(33, 72)(34, 74)(35, 73)(36, 75)(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, 163)(104, 166)(105, 162)(106, 165)(107, 160)(108, 148)(109, 167)(110, 161)(111, 149)(112, 155)(113, 158)(114, 153)(115, 151)(116, 172)(117, 154)(118, 152)(119, 157)(120, 178)(121, 180)(122, 177)(123, 179)(124, 164)(125, 182)(126, 184)(127, 181)(128, 183)(129, 170)(130, 168)(131, 171)(132, 169)(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, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8 ) }
Outer automorphisms :: reflexible
Dual of E13.810
Transitivity :: VT+
Graph:: bipartite
	v = 12 e = 96 f = 60
	degree seq :: [ 16^12 ]

E13.822 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 4, 4})
Quotient :: loop^2
Aut^+ = (C12 x C2) : C2 (small group id <48, 14>)
Aut   = (C2 x C4 x S3) : C2 (small group id <96, 91>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^4, (Y2 * Y1)^2, R * Y1 * R * Y2, (R * Y3)^2, (Y3^-1 * Y1 * Y3^-1)^2, (Y3^-1 * Y2 * Y3^-1)^2, Y2 * Y3 * Y2 * Y1 * Y3^-1 * Y1, Y3^-1 * Y1 * Y3^-1 * Y1 * Y3 * Y1 * Y3 * Y2 * Y3^-1 * Y1 * Y3^-1 * Y1 ]
Map::
	R = (1, 49, 97, 145, 4, 52, 100, 148, 13, 61, 109, 157, 5, 53, 101, 149)(2, 50, 98, 146, 7, 55, 103, 151, 20, 68, 116, 164, 8, 56, 104, 152)(3, 51, 99, 147, 9, 57, 105, 153, 23, 71, 119, 167, 10, 58, 106, 154)(6, 54, 102, 150, 16, 64, 112, 160, 28, 76, 124, 172, 17, 65, 113, 161)(11, 59, 107, 155, 24, 72, 120, 168, 14, 62, 110, 158, 25, 73, 121, 169)(12, 60, 108, 156, 26, 74, 122, 170, 15, 63, 111, 159, 27, 75, 123, 171)(18, 66, 114, 162, 29, 77, 125, 173, 21, 69, 117, 165, 30, 78, 126, 174)(19, 67, 115, 163, 31, 79, 127, 175, 22, 70, 118, 166, 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, 49)(3, 54)(4, 59)(5, 62)(6, 51)(7, 66)(8, 69)(9, 67)(10, 70)(11, 52)(12, 64)(13, 68)(14, 53)(15, 65)(16, 60)(17, 63)(18, 55)(19, 57)(20, 61)(21, 56)(22, 58)(23, 76)(24, 81)(25, 83)(26, 82)(27, 84)(28, 71)(29, 85)(30, 87)(31, 86)(32, 88)(33, 72)(34, 74)(35, 73)(36, 75)(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, 163)(104, 166)(105, 162)(106, 165)(107, 160)(108, 148)(109, 167)(110, 161)(111, 149)(112, 155)(113, 158)(114, 153)(115, 151)(116, 172)(117, 154)(118, 152)(119, 157)(120, 178)(121, 180)(122, 177)(123, 179)(124, 164)(125, 182)(126, 184)(127, 181)(128, 183)(129, 170)(130, 168)(131, 171)(132, 169)(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, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8 ) }
Outer automorphisms :: reflexible
Dual of E13.811
Transitivity :: VT+
Graph:: bipartite
	v = 12 e = 96 f = 60
	degree seq :: [ 16^12 ]

E13.823 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 4, 4})
Quotient :: loop^2
Aut^+ = (C12 x C2) : C2 (small group id <48, 14>)
Aut   = (C12 x C2 x C2) : C2 (small group id <96, 137>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^4, (Y2 * Y1)^2, Y3^2 * Y2 * Y1, Y2 * Y3^2 * Y1, (R * Y3)^2, R * Y1 * R * Y2, Y3^-1 * Y2 * Y3^-1 * Y2 * Y3^-1 * Y2 * Y3^-1 * Y2 * Y3^-1 * Y2 * Y3^-1 * Y2 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 ]
Map::
	R = (1, 49, 97, 145, 4, 52, 100, 148, 6, 54, 102, 150, 5, 53, 101, 149)(2, 50, 98, 146, 7, 55, 103, 151, 3, 51, 99, 147, 8, 56, 104, 152)(9, 57, 105, 153, 13, 61, 109, 157, 10, 58, 106, 154, 14, 62, 110, 158)(11, 59, 107, 155, 15, 63, 111, 159, 12, 60, 108, 156, 16, 64, 112, 160)(17, 65, 113, 161, 21, 69, 117, 165, 18, 66, 114, 162, 22, 70, 118, 166)(19, 67, 115, 163, 23, 71, 119, 167, 20, 68, 116, 164, 24, 72, 120, 168)(25, 73, 121, 169, 29, 77, 125, 173, 26, 74, 122, 170, 30, 78, 126, 174)(27, 75, 123, 171, 31, 79, 127, 175, 28, 76, 124, 172, 32, 80, 128, 176)(33, 81, 129, 177, 37, 85, 133, 181, 34, 82, 130, 178, 38, 86, 134, 182)(35, 83, 131, 179, 39, 87, 135, 183, 36, 84, 132, 180, 40, 88, 136, 184)(41, 89, 137, 185, 45, 93, 141, 189, 42, 90, 138, 186, 46, 94, 142, 190)(43, 91, 139, 187, 47, 95, 143, 191, 44, 92, 140, 188, 48, 96, 144, 192)
	L = (1, 50)(2, 49)(3, 54)(4, 57)(5, 58)(6, 51)(7, 59)(8, 60)(9, 52)(10, 53)(11, 55)(12, 56)(13, 65)(14, 66)(15, 67)(16, 68)(17, 61)(18, 62)(19, 63)(20, 64)(21, 73)(22, 74)(23, 75)(24, 76)(25, 69)(26, 70)(27, 71)(28, 72)(29, 81)(30, 82)(31, 83)(32, 84)(33, 77)(34, 78)(35, 79)(36, 80)(37, 89)(38, 90)(39, 91)(40, 92)(41, 85)(42, 86)(43, 87)(44, 88)(45, 95)(46, 96)(47, 93)(48, 94)(97, 147)(98, 150)(99, 145)(100, 154)(101, 153)(102, 146)(103, 156)(104, 155)(105, 149)(106, 148)(107, 152)(108, 151)(109, 162)(110, 161)(111, 164)(112, 163)(113, 158)(114, 157)(115, 160)(116, 159)(117, 170)(118, 169)(119, 172)(120, 171)(121, 166)(122, 165)(123, 168)(124, 167)(125, 178)(126, 177)(127, 180)(128, 179)(129, 174)(130, 173)(131, 176)(132, 175)(133, 186)(134, 185)(135, 188)(136, 187)(137, 182)(138, 181)(139, 184)(140, 183)(141, 192)(142, 191)(143, 190)(144, 189)
	local type(s) :: { ( 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8 ) }
Outer automorphisms :: reflexible
Dual of E13.812
Transitivity :: VT+
Graph:: bipartite
	v = 12 e = 96 f = 60
	degree seq :: [ 16^12 ]

E13.824 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 4, 4})
Quotient :: loop^2
Aut^+ = (C12 x C2) : C2 (small group id <48, 14>)
Aut   = (C2 x C2 x C2 x S3) : C2 (small group id <96, 144>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, (Y2 * Y1)^2, (R * Y3)^2, Y3^4, R * Y1 * R * Y2, (Y3^-1 * Y1 * Y3^-1)^2, Y2 * Y3 * Y2 * Y1 * Y3^-1 * Y1, (Y3^-1 * Y2 * Y3^-1)^2, Y3^-1 * Y1 * Y3^-1 * Y1 * Y3 * Y1 * Y3^-1 * Y2 * Y3^-1 * Y1 * Y3^-1 * Y1 ]
Map::
	R = (1, 49, 97, 145, 4, 52, 100, 148, 13, 61, 109, 157, 5, 53, 101, 149)(2, 50, 98, 146, 7, 55, 103, 151, 20, 68, 116, 164, 8, 56, 104, 152)(3, 51, 99, 147, 9, 57, 105, 153, 23, 71, 119, 167, 10, 58, 106, 154)(6, 54, 102, 150, 16, 64, 112, 160, 28, 76, 124, 172, 17, 65, 113, 161)(11, 59, 107, 155, 24, 72, 120, 168, 14, 62, 110, 158, 25, 73, 121, 169)(12, 60, 108, 156, 26, 74, 122, 170, 15, 63, 111, 159, 27, 75, 123, 171)(18, 66, 114, 162, 29, 77, 125, 173, 21, 69, 117, 165, 30, 78, 126, 174)(19, 67, 115, 163, 31, 79, 127, 175, 22, 70, 118, 166, 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, 49)(3, 54)(4, 59)(5, 62)(6, 51)(7, 66)(8, 69)(9, 67)(10, 70)(11, 52)(12, 64)(13, 68)(14, 53)(15, 65)(16, 60)(17, 63)(18, 55)(19, 57)(20, 61)(21, 56)(22, 58)(23, 76)(24, 81)(25, 83)(26, 82)(27, 84)(28, 71)(29, 85)(30, 87)(31, 86)(32, 88)(33, 72)(34, 74)(35, 73)(36, 75)(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, 163)(104, 166)(105, 162)(106, 165)(107, 160)(108, 148)(109, 167)(110, 161)(111, 149)(112, 155)(113, 158)(114, 153)(115, 151)(116, 172)(117, 154)(118, 152)(119, 157)(120, 178)(121, 180)(122, 177)(123, 179)(124, 164)(125, 182)(126, 184)(127, 181)(128, 183)(129, 170)(130, 168)(131, 171)(132, 169)(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, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8 ) }
Outer automorphisms :: reflexible
Dual of E13.813
Transitivity :: VT+
Graph:: bipartite
	v = 12 e = 96 f = 60
	degree seq :: [ 16^12 ]

E13.825 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 4, 4})
Quotient :: loop^2
Aut^+ = C2 x C4 x S3 (small group id <48, 35>)
Aut   = ((C4 x C2) : C2) x S3 (small group id <96, 87>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2^2 * Y1^2, (Y2^-1, Y1^-1), (R * Y3)^2, R * Y2 * R * Y1, Y2^4, Y1^4, (Y3 * Y1^-2)^2, Y2^-1 * Y3 * Y1 * Y2 * Y3 * Y1^-1, Y1 * Y3 * Y1 * Y2^-1 * Y3 * Y2^-1, Y3 * Y1^-1 * Y3 * Y1^-1 * 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, 53)(8, 54)(9, 68)(10, 51)(11, 69)(12, 66)(13, 67)(14, 52)(15, 72)(16, 70)(17, 71)(18, 62)(19, 63)(20, 64)(21, 65)(22, 57)(23, 59)(24, 61)(25, 81)(26, 82)(27, 83)(28, 84)(29, 85)(30, 86)(31, 87)(32, 88)(33, 75)(34, 76)(35, 73)(36, 74)(37, 79)(38, 80)(39, 77)(40, 78)(41, 93)(42, 94)(43, 95)(44, 96)(45, 91)(46, 92)(47, 89)(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, 190)(138, 189)(139, 192)(140, 191)(141, 188)(142, 187)(143, 186)(144, 185)
	local type(s) :: { ( 4^8 ) }
Outer automorphisms :: reflexible
Dual of E13.814
Transitivity :: VT+
Graph:: simple bipartite
	v = 24 e = 96 f = 48
	degree seq :: [ 8^24 ]

E13.826 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 4, 4})
Quotient :: loop^2
Aut^+ = (C12 x C2) : C2 (small group id <48, 14>)
Aut   = ((C4 x C2) : C2) x S3 (small group id <96, 87>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2^-2 * Y1^2, Y1^-2 * Y2^-2, (Y2^-1, Y1^-1), Y1^-2 * Y2^2, (R * Y3)^2, (Y2 * Y1^-1)^2, R * Y2 * R * Y1, (Y1^-1 * Y3 * Y1^-1)^2, Y2^-1 * Y3 * Y2^-1 * Y1^-1 * Y3 * Y1^-1, Y3 * Y2^-1 * Y3 * Y2^-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, 53)(8, 54)(9, 68)(10, 51)(11, 69)(12, 66)(13, 67)(14, 52)(15, 72)(16, 70)(17, 71)(18, 62)(19, 63)(20, 64)(21, 65)(22, 57)(23, 59)(24, 61)(25, 81)(26, 82)(27, 83)(28, 84)(29, 85)(30, 86)(31, 87)(32, 88)(33, 75)(34, 76)(35, 73)(36, 74)(37, 79)(38, 80)(39, 77)(40, 78)(41, 96)(42, 95)(43, 94)(44, 93)(45, 90)(46, 89)(47, 92)(48, 91)(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, 191)(138, 192)(139, 189)(140, 190)(141, 185)(142, 186)(143, 187)(144, 188)
	local type(s) :: { ( 4^8 ) }
Outer automorphisms :: reflexible
Dual of E13.815
Transitivity :: VT+
Graph:: simple bipartite
	v = 24 e = 96 f = 48
	degree seq :: [ 8^24 ]

E13.827 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 4, 4})
Quotient :: loop^2
Aut^+ = (C12 x C2) : C2 (small group id <48, 14>)
Aut   = (C2 x C2 x C2 x S3) : C2 (small group id <96, 89>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2 * Y1^-1, (R * Y3)^2, R * Y2 * R * Y1, Y1^4, Y2^4, (Y1^-1 * Y3 * Y2^-1)^2, Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1^-2 * 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 ]
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, 13, 61, 109, 157)(8, 56, 104, 152, 14, 62, 110, 158)(11, 59, 107, 155, 15, 63, 111, 159)(12, 60, 108, 156, 16, 64, 112, 160)(17, 65, 113, 161, 21, 69, 117, 165)(18, 66, 114, 162, 22, 70, 118, 166)(19, 67, 115, 163, 23, 71, 119, 167)(20, 68, 116, 164, 24, 72, 120, 168)(25, 73, 121, 169, 29, 77, 125, 173)(26, 74, 122, 170, 30, 78, 126, 174)(27, 75, 123, 171, 31, 79, 127, 175)(28, 76, 124, 172, 32, 80, 128, 176)(33, 81, 129, 177, 37, 85, 133, 181)(34, 82, 130, 178, 38, 86, 134, 182)(35, 83, 131, 179, 39, 87, 135, 183)(36, 84, 132, 180, 40, 88, 136, 184)(41, 89, 137, 185, 45, 93, 141, 189)(42, 90, 138, 186, 46, 94, 142, 190)(43, 91, 139, 187, 47, 95, 143, 191)(44, 92, 140, 188, 48, 96, 144, 192)
	L = (1, 50)(2, 53)(3, 55)(4, 49)(5, 52)(6, 59)(7, 58)(8, 51)(9, 60)(10, 56)(11, 57)(12, 54)(13, 65)(14, 66)(15, 67)(16, 68)(17, 62)(18, 61)(19, 64)(20, 63)(21, 73)(22, 74)(23, 75)(24, 76)(25, 70)(26, 69)(27, 72)(28, 71)(29, 81)(30, 82)(31, 83)(32, 84)(33, 78)(34, 77)(35, 80)(36, 79)(37, 89)(38, 90)(39, 91)(40, 92)(41, 86)(42, 85)(43, 88)(44, 87)(45, 95)(46, 96)(47, 94)(48, 93)(97, 146)(98, 149)(99, 151)(100, 145)(101, 148)(102, 155)(103, 154)(104, 147)(105, 156)(106, 152)(107, 153)(108, 150)(109, 161)(110, 162)(111, 163)(112, 164)(113, 158)(114, 157)(115, 160)(116, 159)(117, 169)(118, 170)(119, 171)(120, 172)(121, 166)(122, 165)(123, 168)(124, 167)(125, 177)(126, 178)(127, 179)(128, 180)(129, 174)(130, 173)(131, 176)(132, 175)(133, 185)(134, 186)(135, 187)(136, 188)(137, 182)(138, 181)(139, 184)(140, 183)(141, 191)(142, 192)(143, 190)(144, 189)
	local type(s) :: { ( 4^8 ) }
Outer automorphisms :: reflexible
Dual of E13.816
Transitivity :: VT+
Graph:: bipartite
	v = 24 e = 96 f = 48
	degree seq :: [ 8^24 ]

E13.828 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 4, 4})
Quotient :: loop^2
Aut^+ = (C12 x C2) : C2 (small group id <48, 14>)
Aut   = C2 x ((C12 x C2) : C2) (small group id <96, 134>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2^-1 * Y1^-1, R * Y2 * R * Y1, Y1^4, (R * Y3)^2, Y2^4, (Y3 * Y1^-2)^2, Y2 * Y3 * Y1 * Y2^-1 * Y3 * Y1^-1, Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-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, 7, 55, 103, 151)(5, 53, 101, 149, 10, 58, 106, 154)(8, 56, 104, 152, 13, 61, 109, 157)(9, 57, 105, 153, 14, 62, 110, 158)(11, 59, 107, 155, 15, 63, 111, 159)(12, 60, 108, 156, 16, 64, 112, 160)(17, 65, 113, 161, 21, 69, 117, 165)(18, 66, 114, 162, 22, 70, 118, 166)(19, 67, 115, 163, 23, 71, 119, 167)(20, 68, 116, 164, 24, 72, 120, 168)(25, 73, 121, 169, 29, 77, 125, 173)(26, 74, 122, 170, 30, 78, 126, 174)(27, 75, 123, 171, 31, 79, 127, 175)(28, 76, 124, 172, 32, 80, 128, 176)(33, 81, 129, 177, 37, 85, 133, 181)(34, 82, 130, 178, 38, 86, 134, 182)(35, 83, 131, 179, 39, 87, 135, 183)(36, 84, 132, 180, 40, 88, 136, 184)(41, 89, 137, 185, 45, 93, 141, 189)(42, 90, 138, 186, 46, 94, 142, 190)(43, 91, 139, 187, 47, 95, 143, 191)(44, 92, 140, 188, 48, 96, 144, 192)
	L = (1, 50)(2, 53)(3, 49)(4, 56)(5, 51)(6, 59)(7, 60)(8, 58)(9, 52)(10, 57)(11, 55)(12, 54)(13, 65)(14, 66)(15, 67)(16, 68)(17, 62)(18, 61)(19, 64)(20, 63)(21, 73)(22, 74)(23, 75)(24, 76)(25, 70)(26, 69)(27, 72)(28, 71)(29, 81)(30, 82)(31, 83)(32, 84)(33, 78)(34, 77)(35, 80)(36, 79)(37, 89)(38, 90)(39, 91)(40, 92)(41, 86)(42, 85)(43, 88)(44, 87)(45, 95)(46, 96)(47, 94)(48, 93)(97, 147)(98, 145)(99, 149)(100, 153)(101, 146)(102, 156)(103, 155)(104, 148)(105, 154)(106, 152)(107, 150)(108, 151)(109, 162)(110, 161)(111, 164)(112, 163)(113, 157)(114, 158)(115, 159)(116, 160)(117, 170)(118, 169)(119, 172)(120, 171)(121, 165)(122, 166)(123, 167)(124, 168)(125, 178)(126, 177)(127, 180)(128, 179)(129, 173)(130, 174)(131, 175)(132, 176)(133, 186)(134, 185)(135, 188)(136, 187)(137, 181)(138, 182)(139, 183)(140, 184)(141, 192)(142, 191)(143, 189)(144, 190)
	local type(s) :: { ( 4^8 ) }
Outer automorphisms :: reflexible
Dual of E13.817
Transitivity :: VT+
Graph:: bipartite
	v = 24 e = 96 f = 48
	degree seq :: [ 8^24 ]

E13.829 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 4, 4})
Quotient :: loop^2
Aut^+ = C2 x ((C6 x C2) : C2) (small group id <48, 43>)
Aut   = (C2 x C2 x C2 x S3) : C2 (small group id <96, 144>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2^2 * Y1^2, Y1^4, (Y2^-1, Y1^-1), Y2^4, R * Y2 * R * Y1, (R * Y3)^2, Y3 * Y2^-2 * Y3 * Y1^-2, Y1^-1 * Y3 * Y1^-1 * Y2^-1 * Y3 * Y2^-1, Y3 * Y2^-1 * Y3 * Y2^-1 * 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, 53)(8, 54)(9, 68)(10, 51)(11, 69)(12, 66)(13, 67)(14, 52)(15, 72)(16, 70)(17, 71)(18, 62)(19, 63)(20, 64)(21, 65)(22, 57)(23, 59)(24, 61)(25, 81)(26, 82)(27, 83)(28, 84)(29, 85)(30, 86)(31, 87)(32, 88)(33, 75)(34, 76)(35, 73)(36, 74)(37, 79)(38, 80)(39, 77)(40, 78)(41, 95)(42, 96)(43, 93)(44, 94)(45, 89)(46, 90)(47, 91)(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, 192)(138, 191)(139, 190)(140, 189)(141, 186)(142, 185)(143, 188)(144, 187)
	local type(s) :: { ( 4^8 ) }
Outer automorphisms :: reflexible
Dual of E13.818
Transitivity :: VT+
Graph:: simple bipartite
	v = 24 e = 96 f = 48
	degree seq :: [ 8^24 ]

E13.830 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 4, 4})
Quotient :: loop^2
Aut^+ = (C12 x C2) : C2 (small group id <48, 14>)
Aut   = (C2 x C2 x C2 x S3) : C2 (small group id <96, 144>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2^2 * Y1^2, (Y2^-1, Y1^-1), Y1^4, (R * Y3)^2, R * Y2 * R * Y1, (Y3 * Y1^-2)^2, Y1 * Y3 * Y1 * Y2^-1 * Y3 * Y2^-1, Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1 * Y3 * Y2^-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, 53)(8, 54)(9, 68)(10, 51)(11, 69)(12, 66)(13, 67)(14, 52)(15, 72)(16, 70)(17, 71)(18, 62)(19, 63)(20, 64)(21, 65)(22, 57)(23, 59)(24, 61)(25, 81)(26, 82)(27, 83)(28, 84)(29, 85)(30, 86)(31, 87)(32, 88)(33, 75)(34, 76)(35, 73)(36, 74)(37, 79)(38, 80)(39, 77)(40, 78)(41, 94)(42, 93)(43, 96)(44, 95)(45, 92)(46, 91)(47, 90)(48, 89)(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, 189)(138, 190)(139, 191)(140, 192)(141, 187)(142, 188)(143, 185)(144, 186)
	local type(s) :: { ( 4^8 ) }
Outer automorphisms :: reflexible
Dual of E13.819
Transitivity :: VT+
Graph:: simple bipartite
	v = 24 e = 96 f = 48
	degree seq :: [ 8^24 ]

E13.831 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 4})
Quotient :: dipole
Aut^+ = (C12 x C2) : C2 (small group id <48, 14>)
Aut   = (C2 x C2 x C2 x S3) : C2 (small group id <96, 89>)
|r| :: 2
Presentation :: [ Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, R^2, Y1^2, (R * Y1)^2, (R * Y3)^2, (Y3^-1 * Y1)^2, Y2^4, (R * Y2 * Y3^-1)^2, (Y2^-1 * Y1 * Y2^-1)^2, (Y3 * Y2^-1)^4, Y2^-1 * Y1 * Y2^-1 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 ]
Map::
	R = (1, 49, 2, 50)(3, 51, 7, 55)(4, 52, 9, 57)(5, 53, 10, 58)(6, 54, 12, 60)(8, 56, 11, 59)(13, 61, 17, 65)(14, 62, 18, 66)(15, 63, 19, 67)(16, 64, 20, 68)(21, 69, 25, 73)(22, 70, 26, 74)(23, 71, 27, 75)(24, 72, 28, 76)(29, 77, 33, 81)(30, 78, 34, 82)(31, 79, 35, 83)(32, 80, 36, 84)(37, 85, 41, 89)(38, 86, 42, 90)(39, 87, 43, 91)(40, 88, 44, 92)(45, 93, 47, 95)(46, 94, 48, 96)(97, 145, 99, 147, 104, 152, 100, 148)(98, 146, 101, 149, 107, 155, 102, 150)(103, 151, 109, 157, 105, 153, 110, 158)(106, 154, 111, 159, 108, 156, 112, 160)(113, 161, 117, 165, 114, 162, 118, 166)(115, 163, 119, 167, 116, 164, 120, 168)(121, 169, 125, 173, 122, 170, 126, 174)(123, 171, 127, 175, 124, 172, 128, 176)(129, 177, 133, 181, 130, 178, 134, 182)(131, 179, 135, 183, 132, 180, 136, 184)(137, 185, 141, 189, 138, 186, 142, 190)(139, 187, 143, 191, 140, 188, 144, 192)
	L = (1, 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, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 36 e = 96 f = 36
	degree seq :: [ 4^24, 8^12 ]

E13.832 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 4})
Quotient :: dipole
Aut^+ = (C12 x C2) : C2 (small group id <48, 14>)
Aut   = (C2 x C2 x C2 x S3) : C2 (small group id <96, 89>)
|r| :: 2
Presentation :: [ Y1^2, Y3^2, R^2, Y3 * Y2 * Y3 * Y2^-1, (R * Y3)^2, (Y2^-1 * R)^2, Y2^4, (Y3 * Y1)^2, (R * Y1)^2, (Y2^-1 * Y1 * Y2^-1)^2, Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2 * Y3 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 49, 2, 50)(3, 51, 9, 57)(4, 52, 7, 55)(5, 53, 13, 61)(6, 54, 14, 62)(8, 56, 18, 66)(10, 58, 15, 63)(11, 59, 20, 68)(12, 60, 23, 71)(16, 64, 25, 73)(17, 65, 28, 76)(19, 67, 29, 77)(21, 69, 32, 80)(22, 70, 27, 75)(24, 72, 33, 81)(26, 74, 36, 84)(30, 78, 38, 86)(31, 79, 40, 88)(34, 82, 42, 90)(35, 83, 44, 92)(37, 85, 45, 93)(39, 87, 48, 96)(41, 89, 46, 94)(43, 91, 47, 95)(97, 145, 99, 147, 106, 154, 101, 149)(98, 146, 102, 150, 111, 159, 104, 152)(100, 148, 107, 155, 118, 166, 108, 156)(103, 151, 112, 160, 123, 171, 113, 161)(105, 153, 115, 163, 109, 157, 117, 165)(110, 158, 120, 168, 114, 162, 122, 170)(116, 164, 126, 174, 119, 167, 127, 175)(121, 169, 130, 178, 124, 172, 131, 179)(125, 173, 133, 181, 128, 176, 135, 183)(129, 177, 137, 185, 132, 180, 139, 187)(134, 182, 142, 190, 136, 184, 143, 191)(138, 186, 141, 189, 140, 188, 144, 192)
	L = (1, 100)(2, 103)(3, 107)(4, 97)(5, 108)(6, 112)(7, 98)(8, 113)(9, 116)(10, 118)(11, 99)(12, 101)(13, 119)(14, 121)(15, 123)(16, 102)(17, 104)(18, 124)(19, 126)(20, 105)(21, 127)(22, 106)(23, 109)(24, 130)(25, 110)(26, 131)(27, 111)(28, 114)(29, 134)(30, 115)(31, 117)(32, 136)(33, 138)(34, 120)(35, 122)(36, 140)(37, 142)(38, 125)(39, 143)(40, 128)(41, 141)(42, 129)(43, 144)(44, 132)(45, 137)(46, 133)(47, 135)(48, 139)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible selfdual
Graph:: simple bipartite
	v = 36 e = 96 f = 36
	degree seq :: [ 4^24, 8^12 ]

E13.833 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 4})
Quotient :: dipole
Aut^+ = (C12 x C2) : C2 (small group id <48, 14>)
Aut   = (C2 x C2 x C2 x S3) : C2 (small group id <96, 89>)
|r| :: 2
Presentation :: [ Y1^2, Y3^2, R^2, Y2^4, Y3 * Y2 * Y3 * Y2^-1, (R * Y3)^2, (Y2^-1 * R)^2, (Y3 * Y1)^2, (R * Y1)^2, Y2^-1 * Y1 * Y2^2 * Y1 * Y2^-1, Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y3 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2 ]
Map:: non-degenerate
	R = (1, 49, 2, 50)(3, 51, 9, 57)(4, 52, 7, 55)(5, 53, 13, 61)(6, 54, 14, 62)(8, 56, 18, 66)(10, 58, 15, 63)(11, 59, 20, 68)(12, 60, 23, 71)(16, 64, 25, 73)(17, 65, 28, 76)(19, 67, 29, 77)(21, 69, 32, 80)(22, 70, 27, 75)(24, 72, 33, 81)(26, 74, 36, 84)(30, 78, 38, 86)(31, 79, 40, 88)(34, 82, 42, 90)(35, 83, 44, 92)(37, 85, 45, 93)(39, 87, 48, 96)(41, 89, 47, 95)(43, 91, 46, 94)(97, 145, 99, 147, 106, 154, 101, 149)(98, 146, 102, 150, 111, 159, 104, 152)(100, 148, 107, 155, 118, 166, 108, 156)(103, 151, 112, 160, 123, 171, 113, 161)(105, 153, 115, 163, 109, 157, 117, 165)(110, 158, 120, 168, 114, 162, 122, 170)(116, 164, 126, 174, 119, 167, 127, 175)(121, 169, 130, 178, 124, 172, 131, 179)(125, 173, 133, 181, 128, 176, 135, 183)(129, 177, 137, 185, 132, 180, 139, 187)(134, 182, 142, 190, 136, 184, 143, 191)(138, 186, 144, 192, 140, 188, 141, 189)
	L = (1, 100)(2, 103)(3, 107)(4, 97)(5, 108)(6, 112)(7, 98)(8, 113)(9, 116)(10, 118)(11, 99)(12, 101)(13, 119)(14, 121)(15, 123)(16, 102)(17, 104)(18, 124)(19, 126)(20, 105)(21, 127)(22, 106)(23, 109)(24, 130)(25, 110)(26, 131)(27, 111)(28, 114)(29, 134)(30, 115)(31, 117)(32, 136)(33, 138)(34, 120)(35, 122)(36, 140)(37, 142)(38, 125)(39, 143)(40, 128)(41, 144)(42, 129)(43, 141)(44, 132)(45, 139)(46, 133)(47, 135)(48, 137)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible selfdual
Graph:: simple bipartite
	v = 36 e = 96 f = 36
	degree seq :: [ 4^24, 8^12 ]

E13.834 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 4})
Quotient :: dipole
Aut^+ = (C12 x C2) : C2 (small group id <48, 14>)
Aut   = (C2 x C2 x C2 x S3) : C2 (small group id <96, 89>)
|r| :: 2
Presentation :: [ Y1^2, Y3^2, R^2, Y2^2 * Y3, (R * Y1)^2, (Y1 * Y3)^2, (R * Y3)^2, (R * Y2)^2, Y1 * Y2 * Y1 * Y2 * Y1 * Y3 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y3, Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 ]
Map:: non-degenerate
	R = (1, 49, 2, 50)(3, 51, 9, 57)(4, 52, 7, 55)(5, 53, 10, 58)(6, 54, 11, 59)(8, 56, 12, 60)(13, 61, 17, 65)(14, 62, 18, 66)(15, 63, 19, 67)(16, 64, 20, 68)(21, 69, 25, 73)(22, 70, 26, 74)(23, 71, 27, 75)(24, 72, 28, 76)(29, 77, 33, 81)(30, 78, 34, 82)(31, 79, 35, 83)(32, 80, 36, 84)(37, 85, 41, 89)(38, 86, 42, 90)(39, 87, 43, 91)(40, 88, 44, 92)(45, 93, 47, 95)(46, 94, 48, 96)(97, 145, 99, 147, 100, 148, 101, 149)(98, 146, 102, 150, 103, 151, 104, 152)(105, 153, 109, 157, 106, 154, 110, 158)(107, 155, 111, 159, 108, 156, 112, 160)(113, 161, 117, 165, 114, 162, 118, 166)(115, 163, 119, 167, 116, 164, 120, 168)(121, 169, 125, 173, 122, 170, 126, 174)(123, 171, 127, 175, 124, 172, 128, 176)(129, 177, 133, 181, 130, 178, 134, 182)(131, 179, 135, 183, 132, 180, 136, 184)(137, 185, 141, 189, 138, 186, 142, 190)(139, 187, 143, 191, 140, 188, 144, 192)
	L = (1, 100)(2, 103)(3, 101)(4, 97)(5, 99)(6, 104)(7, 98)(8, 102)(9, 106)(10, 105)(11, 108)(12, 107)(13, 110)(14, 109)(15, 112)(16, 111)(17, 114)(18, 113)(19, 116)(20, 115)(21, 118)(22, 117)(23, 120)(24, 119)(25, 122)(26, 121)(27, 124)(28, 123)(29, 126)(30, 125)(31, 128)(32, 127)(33, 130)(34, 129)(35, 132)(36, 131)(37, 134)(38, 133)(39, 136)(40, 135)(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, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 36 e = 96 f = 36
	degree seq :: [ 4^24, 8^12 ]

E13.835 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 4})
Quotient :: dipole
Aut^+ = (C12 x C2) : C2 (small group id <48, 14>)
Aut   = (C2 x C2 x C2 x S3) : C2 (small group id <96, 144>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^3, (Y3^-1 * Y1)^2, (R * Y1)^2, Y3^-1 * Y2 * Y3^-1 * Y2^-1, (R * Y3)^2, Y2^4, (Y2^-1 * Y1 * Y2^-1)^2, (R * Y2 * Y3^-1)^2, Y2^-1 * Y1 * Y2^-1 * Y3^-1 * 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, 16, 64)(6, 54, 8, 56)(7, 55, 18, 66)(9, 57, 23, 71)(12, 60, 19, 67)(13, 61, 28, 76)(14, 62, 26, 74)(15, 63, 31, 79)(17, 65, 32, 80)(20, 68, 36, 84)(21, 69, 34, 82)(22, 70, 39, 87)(24, 72, 40, 88)(25, 73, 41, 89)(27, 75, 45, 93)(29, 77, 38, 86)(30, 78, 37, 85)(33, 81, 43, 91)(35, 83, 44, 92)(42, 90, 47, 95)(46, 94, 48, 96)(97, 145, 99, 147, 108, 156, 101, 149)(98, 146, 103, 151, 115, 163, 105, 153)(100, 148, 110, 158, 125, 173, 111, 159)(102, 150, 109, 157, 126, 174, 113, 161)(104, 152, 117, 165, 133, 181, 118, 166)(106, 154, 116, 164, 134, 182, 120, 168)(107, 155, 121, 169, 112, 160, 123, 171)(114, 162, 129, 177, 119, 167, 131, 179)(122, 170, 139, 187, 127, 175, 140, 188)(124, 172, 138, 186, 128, 176, 142, 190)(130, 178, 137, 185, 135, 183, 141, 189)(132, 180, 143, 191, 136, 184, 144, 192)
	L = (1, 100)(2, 104)(3, 109)(4, 102)(5, 113)(6, 97)(7, 116)(8, 106)(9, 120)(10, 98)(11, 122)(12, 125)(13, 110)(14, 99)(15, 101)(16, 127)(17, 111)(18, 130)(19, 133)(20, 117)(21, 103)(22, 105)(23, 135)(24, 118)(25, 138)(26, 124)(27, 142)(28, 107)(29, 126)(30, 108)(31, 128)(32, 112)(33, 143)(34, 132)(35, 144)(36, 114)(37, 134)(38, 115)(39, 136)(40, 119)(41, 129)(42, 139)(43, 121)(44, 123)(45, 131)(46, 140)(47, 137)(48, 141)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible selfdual
Graph:: simple bipartite
	v = 36 e = 96 f = 36
	degree seq :: [ 4^24, 8^12 ]

E13.836 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 4})
Quotient :: dipole
Aut^+ = (C12 x C2) : C2 (small group id <48, 14>)
Aut   = (C2 x C2 x C2 x S3) : C2 (small group id <96, 144>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^4, Y2 * Y3^-1 * Y2^-1 * Y3^-1, (R * Y3)^2, (R * Y1)^2, (Y3^-1 * Y1)^2, R * Y2 * Y3 * R * Y2^-1, Y3^-1 * Y2 * Y3 * Y2 * Y3^-1, Y2^-1 * Y1 * Y2^2 * Y1 * Y2^-1, Y2 * Y1 * Y2 * Y3^-1 * Y1 * Y2^-1 * Y1 * Y2 * Y1 ]
Map:: non-degenerate
	R = (1, 49, 2, 50)(3, 51, 11, 59)(4, 52, 10, 58)(5, 53, 17, 65)(6, 54, 8, 56)(7, 55, 20, 68)(9, 57, 26, 74)(12, 60, 21, 69)(13, 61, 32, 80)(14, 62, 30, 78)(15, 63, 28, 76)(16, 64, 33, 81)(18, 66, 34, 82)(19, 67, 24, 72)(22, 70, 38, 86)(23, 71, 36, 84)(25, 73, 39, 87)(27, 75, 40, 88)(29, 77, 41, 89)(31, 79, 45, 93)(35, 83, 44, 92)(37, 85, 43, 91)(42, 90, 47, 95)(46, 94, 48, 96)(97, 145, 99, 147, 108, 156, 101, 149)(98, 146, 103, 151, 117, 165, 105, 153)(100, 148, 110, 158, 115, 163, 112, 160)(102, 150, 109, 157, 111, 159, 114, 162)(104, 152, 119, 167, 124, 172, 121, 169)(106, 154, 118, 166, 120, 168, 123, 171)(107, 155, 125, 173, 113, 161, 127, 175)(116, 164, 131, 179, 122, 170, 133, 181)(126, 174, 139, 187, 129, 177, 140, 188)(128, 176, 138, 186, 130, 178, 142, 190)(132, 180, 141, 189, 135, 183, 137, 185)(134, 182, 143, 191, 136, 184, 144, 192)
	L = (1, 100)(2, 104)(3, 109)(4, 111)(5, 114)(6, 97)(7, 118)(8, 120)(9, 123)(10, 98)(11, 126)(12, 115)(13, 112)(14, 99)(15, 108)(16, 101)(17, 129)(18, 110)(19, 102)(20, 132)(21, 124)(22, 121)(23, 103)(24, 117)(25, 105)(26, 135)(27, 119)(28, 106)(29, 138)(30, 130)(31, 142)(32, 107)(33, 128)(34, 113)(35, 143)(36, 136)(37, 144)(38, 116)(39, 134)(40, 122)(41, 133)(42, 140)(43, 125)(44, 127)(45, 131)(46, 139)(47, 137)(48, 141)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible selfdual
Graph:: simple bipartite
	v = 36 e = 96 f = 36
	degree seq :: [ 4^24, 8^12 ]

E13.837 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 4})
Quotient :: dipole
Aut^+ = (C12 x C2) : C2 (small group id <48, 14>)
Aut   = (C2 x C2 x C2 x S3) : C2 (small group id <96, 144>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3 * Y2 * Y3 * Y2^-1, (R * Y3)^2, (R * Y1)^2, (Y3^-1 * Y1)^2, Y2^4, Y1 * Y2 * Y3 * Y1 * Y2, (R * Y2 * Y3^-1)^2, Y3^6 ]
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, 18, 66)(9, 57, 13, 61)(12, 60, 20, 68)(14, 62, 25, 73)(15, 63, 24, 72)(16, 64, 33, 81)(19, 67, 22, 70)(21, 69, 34, 82)(23, 71, 29, 77)(26, 74, 27, 75)(28, 76, 35, 83)(30, 78, 39, 87)(31, 79, 37, 85)(32, 80, 45, 93)(36, 84, 44, 92)(38, 86, 43, 91)(40, 88, 41, 89)(42, 90, 46, 94)(47, 95, 48, 96)(97, 145, 99, 147, 108, 156, 101, 149)(98, 146, 103, 151, 116, 164, 105, 153)(100, 148, 110, 158, 123, 171, 112, 160)(102, 150, 109, 157, 124, 172, 114, 162)(104, 152, 117, 165, 131, 179, 119, 167)(106, 154, 113, 161, 122, 170, 107, 155)(111, 159, 126, 174, 137, 185, 128, 176)(115, 163, 125, 173, 138, 186, 130, 178)(118, 166, 132, 180, 142, 190, 134, 182)(120, 168, 129, 177, 136, 184, 121, 169)(127, 175, 139, 187, 144, 192, 140, 188)(133, 181, 141, 189, 143, 191, 135, 183)
	L = (1, 100)(2, 104)(3, 109)(4, 111)(5, 114)(6, 97)(7, 113)(8, 118)(9, 107)(10, 98)(11, 121)(12, 123)(13, 125)(14, 99)(15, 127)(16, 101)(17, 129)(18, 130)(19, 102)(20, 131)(21, 103)(22, 133)(23, 105)(24, 106)(25, 135)(26, 116)(27, 137)(28, 108)(29, 139)(30, 110)(31, 115)(32, 112)(33, 141)(34, 140)(35, 142)(36, 117)(37, 120)(38, 119)(39, 134)(40, 122)(41, 144)(42, 124)(43, 126)(44, 128)(45, 132)(46, 143)(47, 136)(48, 138)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible selfdual
Graph:: simple bipartite
	v = 36 e = 96 f = 36
	degree seq :: [ 4^24, 8^12 ]

E13.838 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 4})
Quotient :: dipole
Aut^+ = (C12 x C2) : C2 (small group id <48, 14>)
Aut   = (C2 x C2 x C2 x S3) : C2 (small group id <96, 144>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3 * Y2 * Y3 * Y2^-1, (R * Y3)^2, (R * Y1)^2, (Y3^-1 * Y1)^2, Y2^4, Y1 * Y2^-1 * Y3 * Y1 * Y2, (R * Y2 * Y3^-1)^2, Y3^6 ]
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, 13, 61)(9, 57, 18, 66)(12, 60, 20, 68)(14, 62, 26, 74)(15, 63, 24, 72)(16, 64, 33, 81)(19, 67, 22, 70)(21, 69, 29, 77)(23, 71, 34, 82)(25, 73, 27, 75)(28, 76, 35, 83)(30, 78, 40, 88)(31, 79, 37, 85)(32, 80, 45, 93)(36, 84, 43, 91)(38, 86, 44, 92)(39, 87, 41, 89)(42, 90, 46, 94)(47, 95, 48, 96)(97, 145, 99, 147, 108, 156, 101, 149)(98, 146, 103, 151, 116, 164, 105, 153)(100, 148, 110, 158, 123, 171, 112, 160)(102, 150, 109, 157, 124, 172, 114, 162)(104, 152, 117, 165, 131, 179, 119, 167)(106, 154, 107, 155, 121, 169, 113, 161)(111, 159, 126, 174, 137, 185, 128, 176)(115, 163, 125, 173, 138, 186, 130, 178)(118, 166, 132, 180, 142, 190, 134, 182)(120, 168, 122, 170, 135, 183, 129, 177)(127, 175, 139, 187, 144, 192, 140, 188)(133, 181, 136, 184, 143, 191, 141, 189)
	L = (1, 100)(2, 104)(3, 109)(4, 111)(5, 114)(6, 97)(7, 107)(8, 118)(9, 113)(10, 98)(11, 122)(12, 123)(13, 125)(14, 99)(15, 127)(16, 101)(17, 129)(18, 130)(19, 102)(20, 131)(21, 103)(22, 133)(23, 105)(24, 106)(25, 116)(26, 136)(27, 137)(28, 108)(29, 139)(30, 110)(31, 115)(32, 112)(33, 141)(34, 140)(35, 142)(36, 117)(37, 120)(38, 119)(39, 121)(40, 132)(41, 144)(42, 124)(43, 126)(44, 128)(45, 134)(46, 143)(47, 135)(48, 138)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible selfdual
Graph:: simple bipartite
	v = 36 e = 96 f = 36
	degree seq :: [ 4^24, 8^12 ]

E13.839 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 4})
Quotient :: dipole
Aut^+ = (C12 x C2) : C2 (small group id <48, 37>)
Aut   = C2 x ((C12 x C2) : C2) (small group id <96, 208>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (Y1 * Y3)^2, (R * Y3)^2, (R * Y1)^2, Y2^-1 * Y3^-1 * Y2 * Y3^-1, Y2^4, Y2^-1 * Y3^-1 * Y1 * Y3 * Y2^-1 * Y1, (R * Y2 * Y3^-1)^2, Y3^-1 * Y2 * Y1 * Y2^-1 * Y3^3 * Y1 ]
Map:: non-degenerate
	R = (1, 49, 2, 50)(3, 51, 11, 59)(4, 52, 10, 58)(5, 53, 17, 65)(6, 54, 8, 56)(7, 55, 20, 68)(9, 57, 26, 74)(12, 60, 21, 69)(13, 61, 30, 78)(14, 62, 25, 73)(15, 63, 28, 76)(16, 64, 23, 71)(18, 66, 35, 83)(19, 67, 24, 72)(22, 70, 39, 87)(27, 75, 44, 92)(29, 77, 47, 95)(31, 79, 41, 89)(32, 80, 40, 88)(33, 81, 42, 90)(34, 82, 46, 94)(36, 84, 45, 93)(37, 85, 43, 91)(38, 86, 48, 96)(97, 145, 99, 147, 108, 156, 101, 149)(98, 146, 103, 151, 117, 165, 105, 153)(100, 148, 110, 158, 127, 175, 112, 160)(102, 150, 109, 157, 128, 176, 114, 162)(104, 152, 119, 167, 136, 184, 121, 169)(106, 154, 118, 166, 137, 185, 123, 171)(107, 155, 120, 168, 113, 161, 125, 173)(111, 159, 122, 170, 134, 182, 116, 164)(115, 163, 129, 177, 143, 191, 132, 180)(124, 172, 138, 186, 144, 192, 141, 189)(126, 174, 139, 187, 131, 179, 142, 190)(130, 178, 140, 188, 133, 181, 135, 183)
	L = (1, 100)(2, 104)(3, 109)(4, 111)(5, 114)(6, 97)(7, 118)(8, 120)(9, 123)(10, 98)(11, 121)(12, 127)(13, 129)(14, 99)(15, 130)(16, 101)(17, 119)(18, 132)(19, 102)(20, 112)(21, 136)(22, 138)(23, 103)(24, 139)(25, 105)(26, 110)(27, 141)(28, 106)(29, 142)(30, 107)(31, 134)(32, 108)(33, 135)(34, 143)(35, 113)(36, 140)(37, 115)(38, 133)(39, 116)(40, 125)(41, 117)(42, 126)(43, 144)(44, 122)(45, 131)(46, 124)(47, 128)(48, 137)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible selfdual
Graph:: simple bipartite
	v = 36 e = 96 f = 36
	degree seq :: [ 4^24, 8^12 ]

E13.840 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 4})
Quotient :: dipole
Aut^+ = C2 x C4 x S3 (small group id <48, 35>)
Aut   = C2 x D8 x S3 (small group id <96, 209>)
|r| :: 2
Presentation :: [ Y1^2, Y3^2, R^2, Y3 * Y2 * Y3 * Y2^-1, (R * Y3)^2, (Y2^-1 * R)^2, (Y3 * Y1)^2, (R * Y1)^2, Y2^4, (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, 7, 55)(5, 53, 13, 61)(6, 54, 14, 62)(8, 56, 18, 66)(10, 58, 15, 63)(11, 59, 20, 68)(12, 60, 23, 71)(16, 64, 25, 73)(17, 65, 28, 76)(19, 67, 29, 77)(21, 69, 32, 80)(22, 70, 27, 75)(24, 72, 33, 81)(26, 74, 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, 106, 154, 101, 149)(98, 146, 102, 150, 111, 159, 104, 152)(100, 148, 107, 155, 118, 166, 108, 156)(103, 151, 112, 160, 123, 171, 113, 161)(105, 153, 115, 163, 109, 157, 117, 165)(110, 158, 120, 168, 114, 162, 122, 170)(116, 164, 126, 174, 119, 167, 127, 175)(121, 169, 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, 108)(6, 112)(7, 98)(8, 113)(9, 116)(10, 118)(11, 99)(12, 101)(13, 119)(14, 121)(15, 123)(16, 102)(17, 104)(18, 124)(19, 126)(20, 105)(21, 127)(22, 106)(23, 109)(24, 130)(25, 110)(26, 131)(27, 111)(28, 114)(29, 134)(30, 115)(31, 117)(32, 136)(33, 138)(34, 120)(35, 122)(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) :: { ( 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible selfdual
Graph:: simple bipartite
	v = 36 e = 96 f = 36
	degree seq :: [ 4^24, 8^12 ]

E13.841 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 4})
Quotient :: dipole
Aut^+ = C2 x ((C6 x C2) : C2) (small group id <48, 43>)
Aut   = C2 x D8 x S3 (small group id <96, 209>)
|r| :: 2
Presentation :: [ Y1^2, Y3^2, R^2, Y2^4, (R * Y3)^2, (Y2^-1 * R)^2, (Y3 * Y1)^2, Y3 * Y2 * Y3 * Y2^-1, (R * Y1)^2, Y2 * Y1 * Y2^-2 * Y1 * Y2, Y2^-1 * Y1 * Y2 * 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, 14, 62)(8, 56, 18, 66)(10, 58, 15, 63)(11, 59, 20, 68)(12, 60, 23, 71)(16, 64, 25, 73)(17, 65, 28, 76)(19, 67, 29, 77)(21, 69, 32, 80)(22, 70, 27, 75)(24, 72, 33, 81)(26, 74, 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, 106, 154, 101, 149)(98, 146, 102, 150, 111, 159, 104, 152)(100, 148, 107, 155, 118, 166, 108, 156)(103, 151, 112, 160, 123, 171, 113, 161)(105, 153, 115, 163, 109, 157, 117, 165)(110, 158, 120, 168, 114, 162, 122, 170)(116, 164, 126, 174, 119, 167, 127, 175)(121, 169, 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, 108)(6, 112)(7, 98)(8, 113)(9, 116)(10, 118)(11, 99)(12, 101)(13, 119)(14, 121)(15, 123)(16, 102)(17, 104)(18, 124)(19, 126)(20, 105)(21, 127)(22, 106)(23, 109)(24, 130)(25, 110)(26, 131)(27, 111)(28, 114)(29, 134)(30, 115)(31, 117)(32, 136)(33, 138)(34, 120)(35, 122)(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) :: { ( 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible selfdual
Graph:: simple bipartite
	v = 36 e = 96 f = 36
	degree seq :: [ 4^24, 8^12 ]

E13.842 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 4})
Quotient :: dipole
Aut^+ = C2 x C4 x S3 (small group id <48, 35>)
Aut   = C2 x D8 x S3 (small group id <96, 209>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3 * Y2^-1 * Y3 * Y2, (R * Y3)^2, (R * Y1)^2, (Y3^-1 * Y1)^2, Y2^4, (R * Y2 * Y3^-1)^2, Y3 * Y2^-1 * Y3^-1 * Y1 * Y2 * Y1, (Y2^-2 * Y1)^2, Y3^6 ]
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, 30, 78)(14, 62, 23, 71)(15, 63, 28, 76)(16, 64, 25, 73)(18, 66, 35, 83)(19, 67, 24, 72)(22, 70, 38, 86)(27, 75, 43, 91)(29, 77, 45, 93)(31, 79, 40, 88)(32, 80, 39, 87)(33, 81, 41, 89)(34, 82, 42, 90)(36, 84, 44, 92)(37, 85, 47, 95)(46, 94, 48, 96)(97, 145, 99, 147, 108, 156, 101, 149)(98, 146, 103, 151, 117, 165, 105, 153)(100, 148, 110, 158, 127, 175, 112, 160)(102, 150, 109, 157, 128, 176, 114, 162)(104, 152, 119, 167, 135, 183, 121, 169)(106, 154, 118, 166, 136, 184, 123, 171)(107, 155, 125, 173, 113, 161, 120, 168)(111, 159, 116, 164, 133, 181, 122, 170)(115, 163, 129, 177, 141, 189, 132, 180)(124, 172, 137, 185, 143, 191, 140, 188)(126, 174, 142, 190, 131, 179, 138, 186)(130, 178, 134, 182, 144, 192, 139, 187)
	L = (1, 100)(2, 104)(3, 109)(4, 111)(5, 114)(6, 97)(7, 118)(8, 120)(9, 123)(10, 98)(11, 119)(12, 127)(13, 129)(14, 99)(15, 130)(16, 101)(17, 121)(18, 132)(19, 102)(20, 110)(21, 135)(22, 137)(23, 103)(24, 138)(25, 105)(26, 112)(27, 140)(28, 106)(29, 142)(30, 107)(31, 133)(32, 108)(33, 134)(34, 115)(35, 113)(36, 139)(37, 144)(38, 116)(39, 125)(40, 117)(41, 126)(42, 124)(43, 122)(44, 131)(45, 128)(46, 143)(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) :: { ( 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible selfdual
Graph:: simple bipartite
	v = 36 e = 96 f = 36
	degree seq :: [ 4^24, 8^12 ]

E13.843 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 4})
Quotient :: dipole
Aut^+ = (C12 x C2) : C2 (small group id <48, 37>)
Aut   = ((C4 x C2) : C2) x S3 (small group id <96, 215>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^-1 * Y3^2 * Y2^-1, Y3^2 * Y2^2, Y3^-1 * Y2 * Y3^-1 * Y2^-1, Y3 * Y2^-1 * Y3^-1 * Y2^-1, (R * Y3)^2, (R * Y1)^2, (Y3^-1 * Y1)^2, R * Y2 * R * Y2^-1, Y2^-1 * Y1 * Y3^2 * Y1 * Y2^-1, Y2 * Y1 * Y2 * Y1 * Y2^-1 * 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, 17, 65)(13, 61, 24, 72)(14, 62, 22, 70)(18, 66, 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, 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) :: { ( 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible selfdual
Graph:: simple bipartite
	v = 36 e = 96 f = 36
	degree seq :: [ 4^24, 8^12 ]

E13.844 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 4})
Quotient :: dipole
Aut^+ = (C12 x C2) : C2 (small group id <48, 37>)
Aut   = (C6 x D8) : C2 (small group id <96, 211>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3 * Y2^2 * Y3, Y2^-1 * Y3^2 * Y2^-1, Y3^-1 * Y2 * Y3^-1 * Y2^-1, Y2^4, Y3 * Y2^-1 * Y3^-1 * Y2^-1, (R * Y3)^2, (R * Y1)^2, (Y3^-1 * Y1)^2, R * Y2 * R * Y2^-1, (Y2^-1 * Y1 * Y2^-1)^2, (Y2^-1 * Y1)^6 ]
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, 17, 65)(13, 61, 24, 72)(14, 62, 22, 70)(18, 66, 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, 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) :: { ( 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible selfdual
Graph:: simple bipartite
	v = 36 e = 96 f = 36
	degree seq :: [ 4^24, 8^12 ]

E13.845 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 4})
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 * Y2 * Y3 * Y2^-1, Y2^4, (R * Y3)^2, (R * Y1)^2, (Y3^-1 * Y1)^2, Y3 * Y2 * Y3^-1 * Y1 * Y2^-1 * Y1, (R * Y2 * Y3^-1)^2, Y2^2 * Y1 * Y2^-2 * Y1, Y2 * Y3^-2 * Y2 * Y3^4 ]
Map:: non-degenerate
	R = (1, 49, 2, 50)(3, 51, 11, 59)(4, 52, 10, 58)(5, 53, 17, 65)(6, 54, 8, 56)(7, 55, 20, 68)(9, 57, 26, 74)(12, 60, 21, 69)(13, 61, 30, 78)(14, 62, 23, 71)(15, 63, 28, 76)(16, 64, 25, 73)(18, 66, 35, 83)(19, 67, 24, 72)(22, 70, 39, 87)(27, 75, 44, 92)(29, 77, 47, 95)(31, 79, 41, 89)(32, 80, 40, 88)(33, 81, 45, 93)(34, 82, 46, 94)(36, 84, 42, 90)(37, 85, 43, 91)(38, 86, 48, 96)(97, 145, 99, 147, 108, 156, 101, 149)(98, 146, 103, 151, 117, 165, 105, 153)(100, 148, 110, 158, 127, 175, 112, 160)(102, 150, 109, 157, 128, 176, 114, 162)(104, 152, 119, 167, 136, 184, 121, 169)(106, 154, 118, 166, 137, 185, 123, 171)(107, 155, 125, 173, 113, 161, 120, 168)(111, 159, 116, 164, 134, 182, 122, 170)(115, 163, 129, 177, 143, 191, 132, 180)(124, 172, 138, 186, 144, 192, 141, 189)(126, 174, 142, 190, 131, 179, 139, 187)(130, 178, 135, 183, 133, 181, 140, 188)
	L = (1, 100)(2, 104)(3, 109)(4, 111)(5, 114)(6, 97)(7, 118)(8, 120)(9, 123)(10, 98)(11, 119)(12, 127)(13, 129)(14, 99)(15, 130)(16, 101)(17, 121)(18, 132)(19, 102)(20, 110)(21, 136)(22, 138)(23, 103)(24, 139)(25, 105)(26, 112)(27, 141)(28, 106)(29, 142)(30, 107)(31, 134)(32, 108)(33, 140)(34, 143)(35, 113)(36, 135)(37, 115)(38, 133)(39, 116)(40, 125)(41, 117)(42, 131)(43, 144)(44, 122)(45, 126)(46, 124)(47, 128)(48, 137)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible selfdual
Graph:: simple bipartite
	v = 36 e = 96 f = 36
	degree seq :: [ 4^24, 8^12 ]

E13.846 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 4, 4})
Quotient :: halfedge^2
Aut^+ = C2 x ((C6 x C2) : C2) (small group id <48, 43>)
Aut   = (C6 x D8) : C2 (small group id <96, 147>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, Y1^4, (Y3 * Y2)^2, R * Y3 * R * Y2, (R * Y1)^2, (Y1^-1 * Y3 * Y1^-1)^2, (Y1^-1 * Y2 * Y1^-1)^2, Y3 * Y1 * Y3 * Y2 * Y1^-1 * Y2, Y3 * Y1 * Y3 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1^-1 * Y2 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 50, 2, 54, 6, 53, 5, 49)(3, 57, 9, 64, 16, 59, 11, 51)(4, 60, 12, 65, 17, 61, 13, 52)(7, 66, 18, 62, 14, 68, 20, 55)(8, 69, 21, 63, 15, 70, 22, 56)(10, 67, 19, 76, 28, 73, 25, 58)(23, 81, 33, 74, 26, 82, 34, 71)(24, 83, 35, 75, 27, 84, 36, 72)(29, 85, 37, 79, 31, 86, 38, 77)(30, 87, 39, 80, 32, 88, 40, 78)(41, 95, 47, 91, 43, 93, 45, 89)(42, 96, 48, 92, 44, 94, 46, 90)
	L = (1, 3)(2, 7)(4, 10)(5, 14)(6, 16)(8, 19)(9, 23)(11, 26)(12, 24)(13, 27)(15, 25)(17, 28)(18, 29)(20, 31)(21, 30)(22, 32)(33, 41)(34, 43)(35, 42)(36, 44)(37, 45)(38, 47)(39, 46)(40, 48)(49, 52)(50, 56)(51, 58)(53, 63)(54, 65)(55, 67)(57, 72)(59, 75)(60, 71)(61, 74)(62, 73)(64, 76)(66, 78)(68, 80)(69, 77)(70, 79)(81, 90)(82, 92)(83, 89)(84, 91)(85, 94)(86, 96)(87, 93)(88, 95)
	local type(s) :: { ( 8^8 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+ AT
Graph:: bipartite
	v = 12 e = 48 f = 12
	degree seq :: [ 8^12 ]

E13.847 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 4, 4})
Quotient :: edge^2
Aut^+ = C2 x ((C6 x C2) : C2) (small group id <48, 43>)
Aut   = (C6 x D8) : C2 (small group id <96, 147>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^4, (Y2 * Y1)^2, (R * Y3)^2, R * Y1 * R * Y2, (Y3^-1 * Y2 * Y3^-1)^2, (Y3^-1 * Y1 * Y3^-1)^2, Y2 * Y3 * Y2 * Y1 * Y3^-1 * Y1, Y3^-1 * Y1 * Y3^-1 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 ]
Map::
	R = (1, 49, 4, 52, 13, 61, 5, 53)(2, 50, 7, 55, 20, 68, 8, 56)(3, 51, 9, 57, 23, 71, 10, 58)(6, 54, 16, 64, 28, 76, 17, 65)(11, 59, 24, 72, 14, 62, 25, 73)(12, 60, 26, 74, 15, 63, 27, 75)(18, 66, 29, 77, 21, 69, 30, 78)(19, 67, 31, 79, 22, 70, 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)(99, 102)(100, 107)(101, 110)(103, 114)(104, 117)(105, 115)(106, 118)(108, 112)(109, 116)(111, 113)(119, 124)(120, 129)(121, 131)(122, 130)(123, 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, 163)(152, 166)(153, 162)(154, 165)(155, 160)(157, 167)(158, 161)(164, 172)(168, 178)(169, 180)(170, 177)(171, 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) :: { ( 16, 16 ), ( 16^8 ) }
Outer automorphisms :: reflexible
Dual of E13.848
Graph:: simple bipartite
	v = 60 e = 96 f = 12
	degree seq :: [ 2^48, 8^12 ]

E13.848 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 4, 4})
Quotient :: loop^2
Aut^+ = C2 x ((C6 x C2) : C2) (small group id <48, 43>)
Aut   = (C6 x D8) : C2 (small group id <96, 147>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^4, (Y2 * Y1)^2, (R * Y3)^2, R * Y1 * R * Y2, (Y3^-1 * Y2 * Y3^-1)^2, (Y3^-1 * Y1 * Y3^-1)^2, Y2 * Y3 * Y2 * Y1 * Y3^-1 * Y1, Y3^-1 * Y1 * Y3^-1 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 ]
Map::
	R = (1, 49, 97, 145, 4, 52, 100, 148, 13, 61, 109, 157, 5, 53, 101, 149)(2, 50, 98, 146, 7, 55, 103, 151, 20, 68, 116, 164, 8, 56, 104, 152)(3, 51, 99, 147, 9, 57, 105, 153, 23, 71, 119, 167, 10, 58, 106, 154)(6, 54, 102, 150, 16, 64, 112, 160, 28, 76, 124, 172, 17, 65, 113, 161)(11, 59, 107, 155, 24, 72, 120, 168, 14, 62, 110, 158, 25, 73, 121, 169)(12, 60, 108, 156, 26, 74, 122, 170, 15, 63, 111, 159, 27, 75, 123, 171)(18, 66, 114, 162, 29, 77, 125, 173, 21, 69, 117, 165, 30, 78, 126, 174)(19, 67, 115, 163, 31, 79, 127, 175, 22, 70, 118, 166, 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, 49)(3, 54)(4, 59)(5, 62)(6, 51)(7, 66)(8, 69)(9, 67)(10, 70)(11, 52)(12, 64)(13, 68)(14, 53)(15, 65)(16, 60)(17, 63)(18, 55)(19, 57)(20, 61)(21, 56)(22, 58)(23, 76)(24, 81)(25, 83)(26, 82)(27, 84)(28, 71)(29, 85)(30, 87)(31, 86)(32, 88)(33, 72)(34, 74)(35, 73)(36, 75)(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, 163)(104, 166)(105, 162)(106, 165)(107, 160)(108, 148)(109, 167)(110, 161)(111, 149)(112, 155)(113, 158)(114, 153)(115, 151)(116, 172)(117, 154)(118, 152)(119, 157)(120, 178)(121, 180)(122, 177)(123, 179)(124, 164)(125, 182)(126, 184)(127, 181)(128, 183)(129, 170)(130, 168)(131, 171)(132, 169)(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, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8 ) }
Outer automorphisms :: reflexible
Dual of E13.847
Transitivity :: VT+
Graph:: bipartite
	v = 12 e = 96 f = 60
	degree seq :: [ 16^12 ]

E13.849 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 4})
Quotient :: dipole
Aut^+ = C2 x ((C6 x C2) : C2) (small group id <48, 43>)
Aut   = C2 x C2 x ((C6 x C2) : C2) (small group id <96, 219>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (R * Y3)^2, (R * Y1)^2, Y2^-1 * Y3^-1 * Y2 * Y3^-1, (Y3^-1 * Y1)^2, Y2^4, Y3 * Y2 * Y3^-1 * Y1 * Y2 * Y1, (R * Y2 * Y3^-1)^2, (Y2^-2 * Y1)^2, Y3^6 ]
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, 30, 78)(14, 62, 25, 73)(15, 63, 28, 76)(16, 64, 23, 71)(18, 66, 35, 83)(19, 67, 24, 72)(22, 70, 38, 86)(27, 75, 43, 91)(29, 77, 45, 93)(31, 79, 40, 88)(32, 80, 39, 87)(33, 81, 44, 92)(34, 82, 42, 90)(36, 84, 41, 89)(37, 85, 47, 95)(46, 94, 48, 96)(97, 145, 99, 147, 108, 156, 101, 149)(98, 146, 103, 151, 117, 165, 105, 153)(100, 148, 110, 158, 127, 175, 112, 160)(102, 150, 109, 157, 128, 176, 114, 162)(104, 152, 119, 167, 135, 183, 121, 169)(106, 154, 118, 166, 136, 184, 123, 171)(107, 155, 120, 168, 113, 161, 125, 173)(111, 159, 122, 170, 133, 181, 116, 164)(115, 163, 129, 177, 141, 189, 132, 180)(124, 172, 137, 185, 143, 191, 140, 188)(126, 174, 138, 186, 131, 179, 142, 190)(130, 178, 139, 187, 144, 192, 134, 182)
	L = (1, 100)(2, 104)(3, 109)(4, 111)(5, 114)(6, 97)(7, 118)(8, 120)(9, 123)(10, 98)(11, 121)(12, 127)(13, 129)(14, 99)(15, 130)(16, 101)(17, 119)(18, 132)(19, 102)(20, 112)(21, 135)(22, 137)(23, 103)(24, 138)(25, 105)(26, 110)(27, 140)(28, 106)(29, 142)(30, 107)(31, 133)(32, 108)(33, 139)(34, 115)(35, 113)(36, 134)(37, 144)(38, 116)(39, 125)(40, 117)(41, 131)(42, 124)(43, 122)(44, 126)(45, 128)(46, 143)(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) :: { ( 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible selfdual
Graph:: simple bipartite
	v = 36 e = 96 f = 36
	degree seq :: [ 4^24, 8^12 ]

E13.850 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 4, 4})
Quotient :: halfedge^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, Y2^2, Y3^2, Y3 * Y2, (R * Y1)^2, R * Y2 * R * Y3, Y1^4, (Y1 * Y2 * Y1 * Y2 * Y1)^2, (Y2 * Y1^-1)^6, (Y2 * Y1 * Y2 * Y1^-1)^3 ]
Map::
	R = (1, 50, 2, 53, 5, 52, 4, 49)(3, 55, 7, 61, 13, 56, 8, 51)(6, 59, 11, 68, 20, 60, 12, 54)(9, 64, 16, 76, 28, 65, 17, 57)(10, 66, 18, 79, 31, 67, 19, 58)(14, 72, 24, 81, 33, 73, 25, 62)(15, 74, 26, 80, 32, 75, 27, 63)(21, 83, 35, 78, 30, 84, 36, 69)(22, 85, 37, 77, 29, 86, 38, 70)(23, 87, 39, 92, 44, 82, 34, 71)(40, 93, 45, 91, 43, 96, 48, 88)(41, 95, 47, 90, 42, 94, 46, 89)
	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, 51)(50, 54)(52, 57)(53, 58)(55, 62)(56, 63)(59, 69)(60, 70)(61, 71)(64, 77)(65, 78)(66, 80)(67, 81)(68, 82)(72, 88)(73, 89)(74, 90)(75, 91)(76, 87)(79, 92)(83, 93)(84, 94)(85, 95)(86, 96)
	local type(s) :: { ( 8^8 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+ AT
Graph:: bipartite
	v = 12 e = 48 f = 12
	degree seq :: [ 8^12 ]

E13.851 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 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 :: [ Y1^2, Y2^2, R^2, Y2 * Y1, Y3^4, R * Y1 * R * Y2, (R * Y3)^2, Y3^-2 * Y1 * Y3^-1 * Y1 * Y3^2 * Y1 * Y3^-1 * Y1, (Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1)^2, (Y3^-1 * Y1)^6, (Y3 * Y1 * Y3^-1 * Y1)^3 ]
Map::
	R = (1, 49, 3, 51, 8, 56, 4, 52)(2, 50, 5, 53, 11, 59, 6, 54)(7, 55, 13, 61, 24, 72, 14, 62)(9, 57, 16, 64, 29, 77, 17, 65)(10, 58, 18, 66, 32, 80, 19, 67)(12, 60, 21, 69, 37, 85, 22, 70)(15, 63, 26, 74, 43, 91, 27, 75)(20, 68, 34, 82, 48, 96, 35, 83)(23, 71, 39, 87, 30, 78, 40, 88)(25, 73, 41, 89, 28, 76, 42, 90)(31, 79, 44, 92, 38, 86, 45, 93)(33, 81, 46, 94, 36, 84, 47, 95)(97, 98)(99, 103)(100, 105)(101, 106)(102, 108)(104, 111)(107, 116)(109, 119)(110, 121)(112, 124)(113, 126)(114, 127)(115, 129)(117, 132)(118, 134)(120, 131)(122, 133)(123, 128)(125, 130)(135, 140)(136, 143)(137, 142)(138, 141)(139, 144)(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, 188)(184, 191)(185, 190)(186, 189)(187, 192)
	L = (1, 97)(2, 98)(3, 99)(4, 100)(5, 101)(6, 102)(7, 103)(8, 104)(9, 105)(10, 106)(11, 107)(12, 108)(13, 109)(14, 110)(15, 111)(16, 112)(17, 113)(18, 114)(19, 115)(20, 116)(21, 117)(22, 118)(23, 119)(24, 120)(25, 121)(26, 122)(27, 123)(28, 124)(29, 125)(30, 126)(31, 127)(32, 128)(33, 129)(34, 130)(35, 131)(36, 132)(37, 133)(38, 134)(39, 135)(40, 136)(41, 137)(42, 138)(43, 139)(44, 140)(45, 141)(46, 142)(47, 143)(48, 144)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 16, 16 ), ( 16^8 ) }
Outer automorphisms :: reflexible
Dual of E13.853
Graph:: simple bipartite
	v = 60 e = 96 f = 12
	degree seq :: [ 2^48, 8^12 ]

E13.852 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 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, Y2^-1 * Y1^-1, Y2^4, R * Y2 * R * Y1, Y1^4, (R * Y3)^2, Y2 * Y3 * Y1 * Y3 * Y1 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y1^-1, Y3 * Y1 * Y3 * Y1^-2 * Y3 * Y2^-1 * Y3 * Y1^-2, Y3 * Y2 * Y3 * Y1^-2 * Y3 * Y1^-1 * Y3 * Y1^-2, Y2 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y1 * Y3 * Y1 * Y3 * Y1^-1, Y3 * Y1^-1 * Y3 * Y2 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1, Y3 * Y1 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2^-1 * Y3 * Y1^-1 * Y3 * Y1^-1, Y3 * Y2 * Y3 * Y2 * Y3 * Y1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 49, 4, 52)(2, 50, 6, 54)(3, 51, 7, 55)(5, 53, 10, 58)(8, 56, 16, 64)(9, 57, 17, 65)(11, 59, 21, 69)(12, 60, 22, 70)(13, 61, 24, 72)(14, 62, 25, 73)(15, 63, 26, 74)(18, 66, 32, 80)(19, 67, 33, 81)(20, 68, 34, 82)(23, 71, 39, 87)(27, 75, 40, 88)(28, 76, 41, 89)(29, 77, 42, 90)(30, 78, 43, 91)(31, 79, 44, 92)(35, 83, 45, 93)(36, 84, 46, 94)(37, 85, 47, 95)(38, 86, 48, 96)(97, 98, 101, 99)(100, 104, 111, 105)(102, 107, 116, 108)(103, 109, 119, 110)(106, 114, 127, 115)(112, 123, 129, 124)(113, 125, 128, 126)(117, 131, 121, 132)(118, 133, 120, 134)(122, 135, 140, 130)(136, 141, 139, 144)(137, 143, 138, 142)(145, 147, 149, 146)(148, 153, 159, 152)(150, 156, 164, 155)(151, 158, 167, 157)(154, 163, 175, 162)(160, 172, 177, 171)(161, 174, 176, 173)(165, 180, 169, 179)(166, 182, 168, 181)(170, 178, 188, 183)(184, 192, 187, 189)(185, 190, 186, 191)
	L = (1, 97)(2, 98)(3, 99)(4, 100)(5, 101)(6, 102)(7, 103)(8, 104)(9, 105)(10, 106)(11, 107)(12, 108)(13, 109)(14, 110)(15, 111)(16, 112)(17, 113)(18, 114)(19, 115)(20, 116)(21, 117)(22, 118)(23, 119)(24, 120)(25, 121)(26, 122)(27, 123)(28, 124)(29, 125)(30, 126)(31, 127)(32, 128)(33, 129)(34, 130)(35, 131)(36, 132)(37, 133)(38, 134)(39, 135)(40, 136)(41, 137)(42, 138)(43, 139)(44, 140)(45, 141)(46, 142)(47, 143)(48, 144)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 8^4 ) }
Outer automorphisms :: reflexible
Dual of E13.854
Graph:: simple bipartite
	v = 48 e = 96 f = 24
	degree seq :: [ 4^48 ]

E13.853 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 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 :: [ Y1^2, Y2^2, R^2, Y2 * Y1, Y3^4, R * Y1 * R * Y2, (R * Y3)^2, Y3^-2 * Y1 * Y3^-1 * Y1 * Y3^2 * Y1 * Y3^-1 * Y1, (Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1)^2, (Y3^-1 * Y1)^6, (Y3 * Y1 * Y3^-1 * Y1)^3 ]
Map::
	R = (1, 49, 97, 145, 3, 51, 99, 147, 8, 56, 104, 152, 4, 52, 100, 148)(2, 50, 98, 146, 5, 53, 101, 149, 11, 59, 107, 155, 6, 54, 102, 150)(7, 55, 103, 151, 13, 61, 109, 157, 24, 72, 120, 168, 14, 62, 110, 158)(9, 57, 105, 153, 16, 64, 112, 160, 29, 77, 125, 173, 17, 65, 113, 161)(10, 58, 106, 154, 18, 66, 114, 162, 32, 80, 128, 176, 19, 67, 115, 163)(12, 60, 108, 156, 21, 69, 117, 165, 37, 85, 133, 181, 22, 70, 118, 166)(15, 63, 111, 159, 26, 74, 122, 170, 43, 91, 139, 187, 27, 75, 123, 171)(20, 68, 116, 164, 34, 82, 130, 178, 48, 96, 144, 192, 35, 83, 131, 179)(23, 71, 119, 167, 39, 87, 135, 183, 30, 78, 126, 174, 40, 88, 136, 184)(25, 73, 121, 169, 41, 89, 137, 185, 28, 76, 124, 172, 42, 90, 138, 186)(31, 79, 127, 175, 44, 92, 140, 188, 38, 86, 134, 182, 45, 93, 141, 189)(33, 81, 129, 177, 46, 94, 142, 190, 36, 84, 132, 180, 47, 95, 143, 191)
	L = (1, 50)(2, 49)(3, 55)(4, 57)(5, 58)(6, 60)(7, 51)(8, 63)(9, 52)(10, 53)(11, 68)(12, 54)(13, 71)(14, 73)(15, 56)(16, 76)(17, 78)(18, 79)(19, 81)(20, 59)(21, 84)(22, 86)(23, 61)(24, 83)(25, 62)(26, 85)(27, 80)(28, 64)(29, 82)(30, 65)(31, 66)(32, 75)(33, 67)(34, 77)(35, 72)(36, 69)(37, 74)(38, 70)(39, 92)(40, 95)(41, 94)(42, 93)(43, 96)(44, 87)(45, 90)(46, 89)(47, 88)(48, 91)(97, 146)(98, 145)(99, 151)(100, 153)(101, 154)(102, 156)(103, 147)(104, 159)(105, 148)(106, 149)(107, 164)(108, 150)(109, 167)(110, 169)(111, 152)(112, 172)(113, 174)(114, 175)(115, 177)(116, 155)(117, 180)(118, 182)(119, 157)(120, 179)(121, 158)(122, 181)(123, 176)(124, 160)(125, 178)(126, 161)(127, 162)(128, 171)(129, 163)(130, 173)(131, 168)(132, 165)(133, 170)(134, 166)(135, 188)(136, 191)(137, 190)(138, 189)(139, 192)(140, 183)(141, 186)(142, 185)(143, 184)(144, 187)
	local type(s) :: { ( 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8 ) }
Outer automorphisms :: reflexible
Dual of E13.851
Transitivity :: VT+
Graph:: bipartite
	v = 12 e = 96 f = 60
	degree seq :: [ 16^12 ]

E13.854 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 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, Y2^-1 * Y1^-1, Y2^4, R * Y2 * R * Y1, Y1^4, (R * Y3)^2, Y2 * Y3 * Y1 * Y3 * Y1 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y1^-1, Y3 * Y1 * Y3 * Y1^-2 * Y3 * Y2^-1 * Y3 * Y1^-2, Y3 * Y2 * Y3 * Y1^-2 * Y3 * Y1^-1 * Y3 * Y1^-2, Y2 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y1 * Y3 * Y1 * Y3 * Y1^-1, Y3 * Y1^-1 * Y3 * Y2 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1, Y3 * Y1 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2^-1 * Y3 * Y1^-1 * Y3 * Y1^-1, Y3 * Y2 * Y3 * Y2 * Y3 * Y1 * Y3 * Y1^-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, 7, 55, 103, 151)(5, 53, 101, 149, 10, 58, 106, 154)(8, 56, 104, 152, 16, 64, 112, 160)(9, 57, 105, 153, 17, 65, 113, 161)(11, 59, 107, 155, 21, 69, 117, 165)(12, 60, 108, 156, 22, 70, 118, 166)(13, 61, 109, 157, 24, 72, 120, 168)(14, 62, 110, 158, 25, 73, 121, 169)(15, 63, 111, 159, 26, 74, 122, 170)(18, 66, 114, 162, 32, 80, 128, 176)(19, 67, 115, 163, 33, 81, 129, 177)(20, 68, 116, 164, 34, 82, 130, 178)(23, 71, 119, 167, 39, 87, 135, 183)(27, 75, 123, 171, 40, 88, 136, 184)(28, 76, 124, 172, 41, 89, 137, 185)(29, 77, 125, 173, 42, 90, 138, 186)(30, 78, 126, 174, 43, 91, 139, 187)(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, 49)(4, 56)(5, 51)(6, 59)(7, 61)(8, 63)(9, 52)(10, 66)(11, 68)(12, 54)(13, 71)(14, 55)(15, 57)(16, 75)(17, 77)(18, 79)(19, 58)(20, 60)(21, 83)(22, 85)(23, 62)(24, 86)(25, 84)(26, 87)(27, 81)(28, 64)(29, 80)(30, 65)(31, 67)(32, 78)(33, 76)(34, 74)(35, 73)(36, 69)(37, 72)(38, 70)(39, 92)(40, 93)(41, 95)(42, 94)(43, 96)(44, 82)(45, 91)(46, 89)(47, 90)(48, 88)(97, 147)(98, 145)(99, 149)(100, 153)(101, 146)(102, 156)(103, 158)(104, 148)(105, 159)(106, 163)(107, 150)(108, 164)(109, 151)(110, 167)(111, 152)(112, 172)(113, 174)(114, 154)(115, 175)(116, 155)(117, 180)(118, 182)(119, 157)(120, 181)(121, 179)(122, 178)(123, 160)(124, 177)(125, 161)(126, 176)(127, 162)(128, 173)(129, 171)(130, 188)(131, 165)(132, 169)(133, 166)(134, 168)(135, 170)(136, 192)(137, 190)(138, 191)(139, 189)(140, 183)(141, 184)(142, 186)(143, 185)(144, 187)
	local type(s) :: { ( 4^8 ) }
Outer automorphisms :: reflexible
Dual of E13.852
Transitivity :: VT+
Graph:: bipartite
	v = 24 e = 96 f = 48
	degree seq :: [ 8^24 ]

E13.855 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 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, 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, Y2^4, (R * Y2 * Y3^-1)^2, (Y3 * Y2^-1)^4, (Y2 * Y1 * Y2^-2 * Y1)^2, (Y2^-2 * Y1)^4, Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 ]
Map::
	R = (1, 49, 2, 50)(3, 51, 7, 55)(4, 52, 9, 57)(5, 53, 10, 58)(6, 54, 12, 60)(8, 56, 15, 63)(11, 59, 20, 68)(13, 61, 23, 71)(14, 62, 25, 73)(16, 64, 28, 76)(17, 65, 30, 78)(18, 66, 31, 79)(19, 67, 33, 81)(21, 69, 36, 84)(22, 70, 38, 86)(24, 72, 35, 83)(26, 74, 37, 85)(27, 75, 32, 80)(29, 77, 34, 82)(39, 87, 44, 92)(40, 88, 47, 95)(41, 89, 46, 94)(42, 90, 45, 93)(43, 91, 48, 96)(97, 145, 99, 147, 104, 152, 100, 148)(98, 146, 101, 149, 107, 155, 102, 150)(103, 151, 109, 157, 120, 168, 110, 158)(105, 153, 112, 160, 125, 173, 113, 161)(106, 154, 114, 162, 128, 176, 115, 163)(108, 156, 117, 165, 133, 181, 118, 166)(111, 159, 122, 170, 139, 187, 123, 171)(116, 164, 130, 178, 144, 192, 131, 179)(119, 167, 135, 183, 126, 174, 136, 184)(121, 169, 137, 185, 124, 172, 138, 186)(127, 175, 140, 188, 134, 182, 141, 189)(129, 177, 142, 190, 132, 180, 143, 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) :: { ( 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 36 e = 96 f = 36
	degree seq :: [ 4^24, 8^12 ]

E13.856 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 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 * Y3)^2, (Y2^-1 * R)^2, Y2^4, (Y3 * Y1)^2, (R * Y1)^2, (Y1 * Y2)^3, 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, 14, 62)(8, 56, 18, 66)(10, 58, 21, 69)(11, 59, 19, 67)(12, 60, 23, 71)(15, 63, 27, 75)(16, 64, 25, 73)(17, 65, 29, 77)(20, 68, 32, 80)(22, 70, 33, 81)(24, 72, 34, 82)(26, 74, 37, 85)(28, 76, 38, 86)(30, 78, 39, 87)(31, 79, 41, 89)(35, 83, 43, 91)(36, 84, 44, 92)(40, 88, 46, 94)(42, 90, 45, 93)(47, 95, 48, 96)(97, 145, 99, 147, 106, 154, 101, 149)(98, 146, 102, 150, 111, 159, 104, 152)(100, 148, 107, 155, 118, 166, 108, 156)(103, 151, 112, 160, 124, 172, 113, 161)(105, 153, 114, 162, 126, 174, 116, 164)(109, 157, 120, 168, 122, 170, 110, 158)(115, 163, 125, 173, 136, 184, 127, 175)(117, 165, 128, 176, 138, 186, 130, 178)(119, 167, 131, 179, 132, 180, 121, 169)(123, 171, 133, 181, 141, 189, 135, 183)(129, 177, 137, 185, 143, 191, 139, 187)(134, 182, 140, 188, 144, 192, 142, 190)
	L = (1, 100)(2, 103)(3, 107)(4, 97)(5, 108)(6, 112)(7, 98)(8, 113)(9, 115)(10, 118)(11, 99)(12, 101)(13, 119)(14, 121)(15, 124)(16, 102)(17, 104)(18, 125)(19, 105)(20, 127)(21, 129)(22, 106)(23, 109)(24, 131)(25, 110)(26, 132)(27, 134)(28, 111)(29, 114)(30, 136)(31, 116)(32, 137)(33, 117)(34, 139)(35, 120)(36, 122)(37, 140)(38, 123)(39, 142)(40, 126)(41, 128)(42, 143)(43, 130)(44, 133)(45, 144)(46, 135)(47, 138)(48, 141)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible selfdual
Graph:: simple bipartite
	v = 36 e = 96 f = 36
	degree seq :: [ 4^24, 8^12 ]

E13.857 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 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 * Y1)^2, Y2^4, (Y2^-1 * R)^2, Y2 * Y3 * Y2^-1 * Y3, (R * Y1)^2, (R * Y3)^2, Y3 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1, (Y2 * Y1 * Y2^-1 * Y1)^3 ]
Map:: non-degenerate
	R = (1, 49, 2, 50)(3, 51, 9, 57)(4, 52, 7, 55)(5, 53, 13, 61)(6, 54, 14, 62)(8, 56, 18, 66)(10, 58, 22, 70)(11, 59, 20, 68)(12, 60, 24, 72)(15, 63, 28, 76)(16, 64, 26, 74)(17, 65, 19, 67)(21, 69, 33, 81)(23, 71, 35, 83)(25, 73, 38, 86)(27, 75, 40, 88)(29, 77, 42, 90)(30, 78, 44, 92)(31, 79, 43, 91)(32, 80, 34, 82)(36, 84, 37, 85)(39, 87, 41, 89)(45, 93, 47, 95)(46, 94, 48, 96)(97, 145, 99, 147, 106, 154, 101, 149)(98, 146, 102, 150, 111, 159, 104, 152)(100, 148, 107, 155, 119, 167, 108, 156)(103, 151, 112, 160, 125, 173, 113, 161)(105, 153, 115, 163, 127, 175, 117, 165)(109, 157, 121, 169, 135, 183, 122, 170)(110, 158, 120, 168, 133, 181, 123, 171)(114, 162, 126, 174, 128, 176, 116, 164)(118, 166, 130, 178, 142, 190, 132, 180)(124, 172, 137, 185, 144, 192, 139, 187)(129, 177, 141, 189, 134, 182, 131, 179)(136, 184, 143, 191, 140, 188, 138, 186)
	L = (1, 100)(2, 103)(3, 107)(4, 97)(5, 108)(6, 112)(7, 98)(8, 113)(9, 116)(10, 119)(11, 99)(12, 101)(13, 120)(14, 122)(15, 125)(16, 102)(17, 104)(18, 115)(19, 114)(20, 105)(21, 128)(22, 131)(23, 106)(24, 109)(25, 133)(26, 110)(27, 135)(28, 138)(29, 111)(30, 127)(31, 126)(32, 117)(33, 130)(34, 129)(35, 118)(36, 134)(37, 121)(38, 132)(39, 123)(40, 137)(41, 136)(42, 124)(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, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible selfdual
Graph:: simple bipartite
	v = 36 e = 96 f = 36
	degree seq :: [ 4^24, 8^12 ]

E13.858 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 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, R^2, Y3^3, (Y3 * Y1)^2, (R * Y1)^2, (R * Y3)^2, (Y2 * Y3)^2, Y2^4, Y3^-1 * Y2 * Y1 * Y2^-1 * Y1, (R * Y2 * Y3^-1)^2, (Y3 * Y2^-1)^4 ]
Map:: polytopal 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, 19, 67)(9, 57, 18, 66)(12, 60, 27, 75)(13, 61, 26, 74)(14, 62, 24, 72)(15, 63, 23, 71)(16, 64, 22, 70)(20, 68, 37, 85)(21, 69, 33, 81)(25, 73, 31, 79)(28, 76, 35, 83)(29, 77, 40, 88)(30, 78, 39, 87)(32, 80, 34, 82)(36, 84, 38, 86)(41, 89, 45, 93)(42, 90, 44, 92)(43, 91, 48, 96)(46, 94, 47, 95)(97, 145, 99, 147, 108, 156, 101, 149)(98, 146, 103, 151, 116, 164, 105, 153)(100, 148, 111, 159, 128, 176, 112, 160)(102, 150, 115, 163, 126, 174, 109, 157)(104, 152, 119, 167, 136, 184, 120, 168)(106, 154, 107, 155, 121, 169, 117, 165)(110, 158, 127, 175, 139, 187, 124, 172)(113, 161, 130, 178, 142, 190, 131, 179)(114, 162, 125, 173, 140, 188, 132, 180)(118, 166, 135, 183, 144, 192, 134, 182)(122, 170, 123, 171, 138, 186, 137, 185)(129, 177, 133, 181, 143, 191, 141, 189)
	L = (1, 100)(2, 104)(3, 109)(4, 102)(5, 114)(6, 97)(7, 117)(8, 106)(9, 113)(10, 98)(11, 120)(12, 124)(13, 110)(14, 99)(15, 101)(16, 129)(17, 119)(18, 111)(19, 112)(20, 134)(21, 118)(22, 103)(23, 105)(24, 122)(25, 137)(26, 107)(27, 136)(28, 125)(29, 108)(30, 141)(31, 126)(32, 132)(33, 115)(34, 116)(35, 123)(36, 133)(37, 128)(38, 130)(39, 121)(40, 131)(41, 135)(42, 142)(43, 143)(44, 139)(45, 127)(46, 144)(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, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible selfdual
Graph:: simple bipartite
	v = 36 e = 96 f = 36
	degree seq :: [ 4^24, 8^12 ]

E13.859 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 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, R^2, (Y3^-1 * Y2^-1)^2, (Y3 * Y1)^2, (R * Y3)^2, (R * Y1)^2, Y2^4, Y2^-1 * Y3^-1 * Y2 * Y3 * Y1 * Y2^-1, (Y2^-1 * Y3^-1 * Y1)^2, (Y2 * Y3^-1 * Y1)^2, (R * Y2 * Y3^-1)^2, (Y2 * Y1)^3, Y3^6, (Y3^2 * Y2^-1)^2 ]
Map:: polytopal 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, 29, 77)(12, 60, 34, 82)(13, 61, 33, 81)(14, 62, 28, 76)(15, 63, 26, 74)(16, 64, 32, 80)(17, 65, 25, 73)(19, 67, 36, 84)(20, 68, 35, 83)(21, 69, 27, 75)(23, 71, 42, 90)(24, 72, 41, 89)(30, 78, 44, 92)(31, 79, 43, 91)(37, 85, 47, 95)(38, 86, 46, 94)(39, 87, 45, 93)(40, 88, 48, 96)(97, 145, 99, 147, 108, 156, 101, 149)(98, 146, 103, 151, 119, 167, 105, 153)(100, 148, 111, 159, 129, 177, 113, 161)(102, 150, 116, 164, 126, 174, 109, 157)(104, 152, 122, 170, 137, 185, 124, 172)(106, 154, 127, 175, 115, 163, 120, 168)(107, 155, 125, 173, 141, 189, 123, 171)(110, 158, 132, 180, 142, 190, 131, 179)(112, 160, 118, 166, 114, 162, 133, 181)(117, 165, 136, 184, 143, 191, 130, 178)(121, 169, 140, 188, 134, 182, 139, 187)(128, 176, 144, 192, 135, 183, 138, 186)
	L = (1, 100)(2, 104)(3, 109)(4, 112)(5, 115)(6, 97)(7, 120)(8, 123)(9, 126)(10, 98)(11, 124)(12, 131)(13, 119)(14, 99)(15, 101)(16, 134)(17, 135)(18, 122)(19, 136)(20, 130)(21, 102)(22, 113)(23, 139)(24, 108)(25, 103)(26, 105)(27, 142)(28, 143)(29, 111)(30, 144)(31, 138)(32, 106)(33, 107)(34, 137)(35, 141)(36, 114)(37, 110)(38, 117)(39, 116)(40, 140)(41, 118)(42, 129)(43, 133)(44, 125)(45, 121)(46, 128)(47, 127)(48, 132)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible selfdual
Graph:: simple bipartite
	v = 36 e = 96 f = 36
	degree seq :: [ 4^24, 8^12 ]

E13.860 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 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, R^2, (Y3^-1 * Y1)^2, (R * Y3)^2, (R * Y1)^2, (Y3^-1 * Y2^-1)^2, Y2^4, Y2^-1 * Y1 * Y2 * Y3^-1 * Y2^-1, Y3 * Y2^-1 * Y3^-1 * Y1 * Y2^-1 * Y1, (R * Y2 * Y3^-1)^2, (Y3^-2 * Y2)^2, Y3^6, Y3^-2 * Y1 * Y2^-1 * Y3 * Y2^2 ]
Map:: polytopal 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, 27, 75)(12, 60, 17, 65)(13, 61, 31, 79)(14, 62, 26, 74)(15, 63, 24, 72)(16, 64, 30, 78)(19, 67, 38, 86)(20, 68, 40, 88)(21, 69, 25, 73)(23, 71, 42, 90)(28, 76, 45, 93)(29, 77, 47, 95)(32, 80, 37, 85)(33, 81, 48, 96)(34, 82, 35, 83)(36, 84, 44, 92)(39, 87, 46, 94)(41, 89, 43, 91)(97, 145, 99, 147, 108, 156, 101, 149)(98, 146, 103, 151, 110, 158, 105, 153)(100, 148, 111, 159, 131, 179, 113, 161)(102, 150, 116, 164, 114, 162, 109, 157)(104, 152, 120, 168, 133, 181, 122, 170)(106, 154, 125, 173, 123, 171, 119, 167)(107, 155, 115, 163, 128, 176, 121, 169)(112, 160, 118, 166, 124, 172, 130, 178)(117, 165, 135, 183, 127, 175, 137, 185)(126, 174, 142, 190, 138, 186, 144, 192)(129, 177, 134, 182, 140, 188, 136, 184)(132, 180, 143, 191, 139, 187, 141, 189)
	L = (1, 100)(2, 104)(3, 109)(4, 112)(5, 115)(6, 97)(7, 119)(8, 121)(9, 124)(10, 98)(11, 122)(12, 103)(13, 129)(14, 99)(15, 101)(16, 132)(17, 133)(18, 120)(19, 135)(20, 137)(21, 102)(22, 113)(23, 139)(24, 105)(25, 140)(26, 131)(27, 111)(28, 142)(29, 144)(30, 106)(31, 107)(32, 108)(33, 143)(34, 110)(35, 125)(36, 117)(37, 116)(38, 114)(39, 141)(40, 128)(41, 138)(42, 118)(43, 136)(44, 126)(45, 123)(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, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible selfdual
Graph:: simple bipartite
	v = 36 e = 96 f = 36
	degree seq :: [ 4^24, 8^12 ]

E13.861 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 3, 6})
Quotient :: halfedge^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, Y2^2, Y3^2, R * Y3 * R * Y2, (R * Y1)^2, Y3 * Y1^2 * Y2 * Y1, Y1^6, (Y3 * Y2)^3, Y2 * Y1^2 * Y3 * Y2 * Y1^-1 * Y3, Y1 * Y2 * Y1^-1 * Y3 * Y1 * Y3 * Y2, Y1 * Y2 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y3 ]
Map:: non-degenerate
	R = (1, 50, 2, 54, 6, 66, 18, 65, 17, 53, 5, 49)(3, 57, 9, 72, 24, 71, 23, 56, 8, 59, 11, 51)(4, 60, 12, 63, 15, 85, 37, 84, 36, 62, 14, 52)(7, 64, 16, 87, 39, 89, 41, 67, 19, 69, 21, 55)(10, 74, 26, 77, 29, 92, 44, 88, 40, 76, 28, 58)(13, 81, 33, 68, 20, 90, 42, 80, 32, 82, 34, 61)(22, 79, 31, 83, 35, 73, 25, 78, 30, 86, 38, 70)(27, 95, 47, 93, 45, 96, 48, 94, 46, 91, 43, 75)
	L = (1, 3)(2, 7)(4, 13)(5, 15)(6, 14)(8, 22)(9, 25)(10, 27)(11, 29)(12, 31)(16, 40)(17, 41)(18, 23)(19, 26)(20, 43)(21, 32)(24, 28)(30, 36)(33, 39)(34, 45)(35, 46)(37, 42)(38, 47)(44, 48)(49, 52)(50, 56)(51, 58)(53, 64)(54, 67)(55, 68)(57, 65)(59, 78)(60, 80)(61, 75)(62, 83)(63, 86)(66, 85)(69, 76)(70, 91)(71, 92)(72, 79)(73, 93)(74, 94)(77, 87)(81, 84)(82, 89)(88, 95)(90, 96)
	local type(s) :: { ( 6^12 ) }
Outer automorphisms :: reflexible
Dual of E13.863
Transitivity :: VT+ AT
Graph:: bipartite
	v = 8 e = 48 f = 16
	degree seq :: [ 12^8 ]

E13.862 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 3, 6})
Quotient :: halfedge^2
Aut^+ = SL(2,3) : C2 (small group id <48, 33>)
Aut   = (C2 . S4 = SL(2,3) . C2) : C2 (small group id <96, 192>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, R * Y3 * R * Y2, (R * Y1)^2, Y1^-1 * Y2 * Y1^-2 * Y3, Y1^6, Y1^6, Y2 * Y1 * Y2 * Y3 * Y2 * Y1^-1, Y1^-1 * Y3 * Y2 * Y3 * Y1 * Y3 ]
Map:: non-degenerate
	R = (1, 50, 2, 54, 6, 66, 18, 65, 17, 53, 5, 49)(3, 57, 9, 72, 24, 71, 23, 56, 8, 59, 11, 51)(4, 60, 12, 63, 15, 74, 26, 81, 33, 62, 14, 52)(7, 64, 16, 83, 35, 84, 36, 67, 19, 69, 21, 55)(10, 73, 25, 76, 28, 61, 13, 79, 31, 75, 27, 58)(20, 77, 29, 86, 38, 70, 22, 88, 40, 85, 37, 68)(30, 80, 32, 87, 39, 94, 46, 82, 34, 93, 45, 78)(41, 90, 42, 95, 47, 92, 44, 91, 43, 96, 48, 89)
	L = (1, 3)(2, 7)(4, 13)(5, 15)(6, 14)(8, 22)(9, 20)(10, 26)(11, 28)(12, 30)(16, 32)(17, 36)(18, 23)(19, 34)(21, 38)(24, 27)(25, 41)(29, 42)(31, 44)(33, 46)(35, 37)(39, 47)(40, 43)(45, 48)(49, 52)(50, 56)(51, 58)(53, 64)(54, 67)(55, 68)(57, 65)(59, 77)(60, 73)(61, 71)(62, 80)(63, 82)(66, 74)(69, 87)(70, 84)(72, 88)(75, 90)(76, 91)(78, 92)(79, 81)(83, 93)(85, 95)(86, 96)(89, 94)
	local type(s) :: { ( 6^12 ) }
Outer automorphisms :: reflexible
Dual of E13.864
Transitivity :: VT+ AT
Graph:: bipartite
	v = 8 e = 48 f = 16
	degree seq :: [ 12^8 ]

E13.863 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 3, 6})
Quotient :: halfedge^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, Y2^2, Y3^2, Y1^3, R * Y3 * R * Y2, (R * Y1)^2, (Y3 * Y2)^2, Y3 * Y1 * Y3 * Y2 * Y1^-1 * Y2, Y2 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1, Y3 * Y1 * Y3 * Y1^-1 * Y2 * Y1 * Y3 * Y1^-1 * Y2 * Y1 * Y2 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 50, 2, 53, 5, 49)(3, 56, 8, 58, 10, 51)(4, 59, 11, 60, 12, 52)(6, 63, 15, 65, 17, 54)(7, 66, 18, 67, 19, 55)(9, 64, 16, 70, 22, 57)(13, 73, 25, 74, 26, 61)(14, 75, 27, 76, 28, 62)(20, 81, 33, 82, 34, 68)(21, 83, 35, 84, 36, 69)(23, 85, 37, 78, 30, 71)(24, 86, 38, 77, 29, 72)(31, 89, 41, 88, 40, 79)(32, 90, 42, 87, 39, 80)(43, 96, 48, 94, 46, 91)(44, 95, 47, 93, 45, 92)
	L = (1, 3)(2, 6)(4, 9)(5, 13)(7, 16)(8, 20)(10, 23)(11, 21)(12, 24)(14, 22)(15, 29)(17, 31)(18, 30)(19, 32)(25, 39)(26, 35)(27, 40)(28, 33)(34, 43)(36, 44)(37, 45)(38, 46)(41, 47)(42, 48)(49, 52)(50, 55)(51, 57)(53, 62)(54, 64)(56, 69)(58, 72)(59, 68)(60, 71)(61, 70)(63, 78)(65, 80)(66, 77)(67, 79)(73, 88)(74, 81)(75, 87)(76, 83)(82, 92)(84, 91)(85, 94)(86, 93)(89, 96)(90, 95)
	local type(s) :: { ( 12^6 ) }
Outer automorphisms :: reflexible
Dual of E13.861
Transitivity :: VT+ AT
Graph:: simple bipartite
	v = 16 e = 48 f = 8
	degree seq :: [ 6^16 ]

E13.864 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 3, 6})
Quotient :: halfedge^2
Aut^+ = SL(2,3) : C2 (small group id <48, 33>)
Aut   = (C2 . S4 = SL(2,3) . C2) : C2 (small group id <96, 192>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, Y1^3, R * Y3 * R * Y2, (R * Y1)^2, Y3 * Y1^-1 * Y3 * Y2 * Y3 * Y1, Y2 * Y1 * Y2 * Y3 * Y2 * Y1^-1, Y3 * Y1 * Y2 * Y1 * Y3 * Y2 * Y1, Y3 * Y1 * Y3 * Y2 * Y1^-1 * Y3 * Y2 * Y1 * Y2 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 50, 2, 53, 5, 49)(3, 56, 8, 58, 10, 51)(4, 59, 11, 61, 13, 52)(6, 64, 16, 66, 18, 54)(7, 67, 19, 69, 21, 55)(9, 71, 23, 73, 25, 57)(12, 77, 29, 74, 26, 60)(14, 72, 24, 81, 33, 62)(15, 82, 34, 83, 35, 63)(17, 84, 36, 85, 37, 65)(20, 75, 27, 86, 38, 68)(22, 78, 30, 88, 40, 70)(28, 80, 32, 93, 45, 76)(31, 87, 39, 94, 46, 79)(41, 91, 43, 96, 48, 89)(42, 95, 47, 92, 44, 90)
	L = (1, 3)(2, 6)(4, 12)(5, 14)(7, 20)(8, 17)(9, 24)(10, 26)(11, 28)(13, 30)(15, 31)(16, 32)(18, 38)(19, 25)(21, 40)(22, 35)(23, 41)(27, 42)(29, 44)(33, 46)(34, 37)(36, 43)(39, 47)(45, 48)(49, 52)(50, 55)(51, 57)(53, 63)(54, 65)(56, 70)(58, 75)(59, 71)(60, 69)(61, 79)(62, 80)(64, 78)(66, 87)(67, 84)(68, 83)(72, 88)(73, 90)(74, 91)(76, 92)(77, 81)(82, 93)(85, 95)(86, 96)(89, 94)
	local type(s) :: { ( 12^6 ) }
Outer automorphisms :: reflexible
Dual of E13.862
Transitivity :: VT+ AT
Graph:: simple bipartite
	v = 16 e = 48 f = 8
	degree seq :: [ 6^16 ]

E13.865 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 3, 6})
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 :: [ Y1^2, Y2^2, R^2, Y3^3, (Y2 * Y1)^2, (R * Y3)^2, R * Y1 * R * Y2, Y2 * Y3^-1 * Y2 * Y1 * Y3 * Y1, Y2 * Y3^-1 * Y2 * Y3^-1 * Y2 * Y3^-1 * Y1 * Y3^-1, Y3 * Y2 * Y3^-1 * Y2 * Y3 * Y1 * Y3^-1 * Y2 * Y3 * Y1 * Y3^-1 * Y1 ]
Map::
	R = (1, 49, 4, 52, 5, 53)(2, 50, 7, 55, 8, 56)(3, 51, 9, 57, 10, 58)(6, 54, 15, 63, 16, 64)(11, 59, 21, 69, 22, 70)(12, 60, 23, 71, 24, 72)(13, 61, 25, 73, 26, 74)(14, 62, 27, 75, 28, 76)(17, 65, 29, 77, 30, 78)(18, 66, 31, 79, 32, 80)(19, 67, 33, 81, 34, 82)(20, 68, 35, 83, 36, 84)(37, 85, 45, 93, 40, 88)(38, 86, 46, 94, 39, 87)(41, 89, 47, 95, 44, 92)(42, 90, 48, 96, 43, 91)(97, 98)(99, 102)(100, 107)(101, 109)(103, 113)(104, 115)(105, 114)(106, 116)(108, 111)(110, 112)(117, 132)(118, 133)(119, 130)(120, 134)(121, 135)(122, 127)(123, 136)(124, 125)(126, 137)(128, 138)(129, 139)(131, 140)(141, 144)(142, 143)(145, 147)(146, 150)(148, 156)(149, 158)(151, 162)(152, 164)(153, 161)(154, 163)(155, 159)(157, 160)(165, 178)(166, 182)(167, 180)(168, 181)(169, 184)(170, 173)(171, 183)(172, 175)(174, 186)(176, 185)(177, 188)(179, 187)(189, 191)(190, 192)
	L = (1, 97)(2, 98)(3, 99)(4, 100)(5, 101)(6, 102)(7, 103)(8, 104)(9, 105)(10, 106)(11, 107)(12, 108)(13, 109)(14, 110)(15, 111)(16, 112)(17, 113)(18, 114)(19, 115)(20, 116)(21, 117)(22, 118)(23, 119)(24, 120)(25, 121)(26, 122)(27, 123)(28, 124)(29, 125)(30, 126)(31, 127)(32, 128)(33, 129)(34, 130)(35, 131)(36, 132)(37, 133)(38, 134)(39, 135)(40, 136)(41, 137)(42, 138)(43, 139)(44, 140)(45, 141)(46, 142)(47, 143)(48, 144)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 24, 24 ), ( 24^6 ) }
Outer automorphisms :: reflexible
Dual of E13.871
Graph:: simple bipartite
	v = 64 e = 96 f = 8
	degree seq :: [ 2^48, 6^16 ]

E13.866 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 3, 6})
Quotient :: edge^2
Aut^+ = SL(2,3) : C2 (small group id <48, 33>)
Aut   = (C2 . S4 = SL(2,3) . C2) : C2 (small group id <96, 192>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^3, (R * Y3)^2, R * Y1 * R * Y2, Y3^-1 * Y1 * Y2 * Y1 * Y3 * Y1, Y3 * Y2 * Y1 * Y2 * Y3^-1 * Y2, Y1 * Y3^-1 * Y2 * Y3^-1 * Y1 * Y3^-1 * Y2, Y1 * Y2 * Y3 * Y1 * Y3 * Y2 * Y3, (Y3^-1 * Y2 * Y3 * Y1)^2, Y3 * Y2 * Y1 * Y3^-1 * Y1 * Y3 * Y2 * Y3^-1 * Y2 * Y1 ]
Map::
	R = (1, 49, 4, 52, 5, 53)(2, 50, 7, 55, 8, 56)(3, 51, 10, 58, 11, 59)(6, 54, 17, 65, 18, 66)(9, 57, 19, 67, 24, 72)(12, 60, 29, 77, 16, 64)(13, 61, 30, 78, 31, 79)(14, 62, 32, 80, 33, 81)(15, 63, 23, 71, 35, 83)(20, 68, 34, 82, 40, 88)(21, 69, 41, 89, 42, 90)(22, 70, 36, 84, 25, 73)(26, 74, 44, 92, 45, 93)(27, 75, 46, 94, 28, 76)(37, 85, 43, 91, 47, 95)(38, 86, 48, 96, 39, 87)(97, 98)(99, 105)(100, 108)(101, 110)(102, 112)(103, 115)(104, 117)(106, 121)(107, 123)(109, 122)(111, 130)(113, 131)(114, 134)(116, 133)(118, 126)(119, 132)(120, 139)(124, 129)(125, 140)(127, 137)(128, 136)(135, 138)(141, 143)(142, 144)(145, 147)(146, 150)(148, 157)(149, 159)(151, 164)(152, 166)(153, 167)(154, 170)(155, 162)(156, 172)(158, 165)(160, 180)(161, 181)(163, 183)(168, 173)(169, 177)(171, 187)(174, 178)(175, 190)(176, 189)(179, 186)(182, 188)(184, 192)(185, 191)
	L = (1, 97)(2, 98)(3, 99)(4, 100)(5, 101)(6, 102)(7, 103)(8, 104)(9, 105)(10, 106)(11, 107)(12, 108)(13, 109)(14, 110)(15, 111)(16, 112)(17, 113)(18, 114)(19, 115)(20, 116)(21, 117)(22, 118)(23, 119)(24, 120)(25, 121)(26, 122)(27, 123)(28, 124)(29, 125)(30, 126)(31, 127)(32, 128)(33, 129)(34, 130)(35, 131)(36, 132)(37, 133)(38, 134)(39, 135)(40, 136)(41, 137)(42, 138)(43, 139)(44, 140)(45, 141)(46, 142)(47, 143)(48, 144)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 24, 24 ), ( 24^6 ) }
Outer automorphisms :: reflexible
Dual of E13.872
Graph:: simple bipartite
	v = 64 e = 96 f = 8
	degree seq :: [ 2^48, 6^16 ]

E13.867 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 3, 6})
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 :: [ Y1^2, Y2^2, R^2, R * Y2 * R * Y1, (R * Y3)^2, (Y1 * Y2)^2, Y3^-2 * Y1 * Y2 * Y3^-1, Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y2 * Y3^-1, Y3 * Y1 * Y3^-1 * Y1 * Y3 * Y1 * Y3^-1 * Y2 * Y3 * Y1 * Y3^-1 * Y1 ]
Map::
	R = (1, 49, 4, 52, 13, 61, 6, 54, 16, 64, 5, 53)(2, 50, 7, 55, 10, 58, 3, 51, 9, 57, 8, 56)(11, 59, 21, 69, 24, 72, 12, 60, 23, 71, 22, 70)(14, 62, 25, 73, 28, 76, 15, 63, 27, 75, 26, 74)(17, 65, 29, 77, 32, 80, 18, 66, 31, 79, 30, 78)(19, 67, 33, 81, 36, 84, 20, 68, 35, 83, 34, 82)(37, 85, 45, 93, 40, 88, 38, 86, 46, 94, 39, 87)(41, 89, 47, 95, 44, 92, 42, 90, 48, 96, 43, 91)(97, 98)(99, 102)(100, 107)(101, 110)(103, 113)(104, 115)(105, 114)(106, 116)(108, 112)(109, 111)(117, 132)(118, 133)(119, 130)(120, 134)(121, 135)(122, 127)(123, 136)(124, 125)(126, 137)(128, 138)(129, 139)(131, 140)(141, 144)(142, 143)(145, 147)(146, 150)(148, 156)(149, 159)(151, 162)(152, 164)(153, 161)(154, 163)(155, 160)(157, 158)(165, 178)(166, 182)(167, 180)(168, 181)(169, 184)(170, 173)(171, 183)(172, 175)(174, 186)(176, 185)(177, 188)(179, 187)(189, 191)(190, 192)
	L = (1, 97)(2, 98)(3, 99)(4, 100)(5, 101)(6, 102)(7, 103)(8, 104)(9, 105)(10, 106)(11, 107)(12, 108)(13, 109)(14, 110)(15, 111)(16, 112)(17, 113)(18, 114)(19, 115)(20, 116)(21, 117)(22, 118)(23, 119)(24, 120)(25, 121)(26, 122)(27, 123)(28, 124)(29, 125)(30, 126)(31, 127)(32, 128)(33, 129)(34, 130)(35, 131)(36, 132)(37, 133)(38, 134)(39, 135)(40, 136)(41, 137)(42, 138)(43, 139)(44, 140)(45, 141)(46, 142)(47, 143)(48, 144)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 12, 12 ), ( 12^12 ) }
Outer automorphisms :: reflexible
Dual of E13.869
Graph:: simple bipartite
	v = 56 e = 96 f = 16
	degree seq :: [ 2^48, 12^8 ]

E13.868 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 3, 6})
Quotient :: edge^2
Aut^+ = SL(2,3) : C2 (small group id <48, 33>)
Aut   = (C2 . S4 = SL(2,3) . C2) : C2 (small group id <96, 192>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, R * Y2 * R * Y1, (R * Y3)^2, Y2 * Y3 * Y1 * Y3^2, Y3^6, Y3 * Y2 * Y1 * Y2 * Y3^-1 * Y2, Y3^6, Y1 * Y2 * Y1 * Y3 * Y1 * Y3^-1 ]
Map::
	R = (1, 49, 4, 52, 14, 62, 33, 81, 17, 65, 5, 53)(2, 50, 7, 55, 16, 64, 25, 73, 24, 72, 8, 56)(3, 51, 10, 58, 28, 76, 18, 66, 12, 60, 11, 59)(6, 54, 19, 67, 26, 74, 9, 57, 21, 69, 20, 68)(13, 61, 15, 63, 34, 82, 36, 84, 32, 80, 31, 79)(22, 70, 23, 71, 41, 89, 42, 90, 35, 83, 40, 88)(27, 75, 29, 77, 46, 94, 30, 78, 45, 93, 44, 92)(37, 85, 38, 86, 48, 96, 39, 87, 43, 91, 47, 95)(97, 98)(99, 105)(100, 108)(101, 111)(102, 114)(103, 117)(104, 119)(106, 113)(107, 125)(109, 123)(110, 128)(112, 131)(115, 120)(116, 134)(118, 133)(121, 129)(122, 139)(124, 141)(126, 132)(127, 137)(130, 136)(135, 138)(140, 143)(142, 144)(145, 147)(146, 150)(148, 157)(149, 160)(151, 166)(152, 158)(153, 169)(154, 171)(155, 164)(156, 174)(159, 167)(161, 180)(162, 177)(163, 181)(165, 183)(168, 186)(170, 172)(173, 187)(175, 190)(176, 179)(178, 188)(182, 189)(184, 192)(185, 191)
	L = (1, 97)(2, 98)(3, 99)(4, 100)(5, 101)(6, 102)(7, 103)(8, 104)(9, 105)(10, 106)(11, 107)(12, 108)(13, 109)(14, 110)(15, 111)(16, 112)(17, 113)(18, 114)(19, 115)(20, 116)(21, 117)(22, 118)(23, 119)(24, 120)(25, 121)(26, 122)(27, 123)(28, 124)(29, 125)(30, 126)(31, 127)(32, 128)(33, 129)(34, 130)(35, 131)(36, 132)(37, 133)(38, 134)(39, 135)(40, 136)(41, 137)(42, 138)(43, 139)(44, 140)(45, 141)(46, 142)(47, 143)(48, 144)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 12, 12 ), ( 12^12 ) }
Outer automorphisms :: reflexible
Dual of E13.870
Graph:: simple bipartite
	v = 56 e = 96 f = 16
	degree seq :: [ 2^48, 12^8 ]

E13.869 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 3, 6})
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 :: [ Y1^2, Y2^2, R^2, Y3^3, (Y2 * Y1)^2, (R * Y3)^2, R * Y1 * R * Y2, Y2 * Y3^-1 * Y2 * Y1 * Y3 * Y1, Y2 * Y3^-1 * Y2 * Y3^-1 * Y2 * Y3^-1 * Y1 * Y3^-1, Y3 * Y2 * Y3^-1 * Y2 * Y3 * Y1 * Y3^-1 * Y2 * Y3 * Y1 * Y3^-1 * Y1 ]
Map::
	R = (1, 49, 97, 145, 4, 52, 100, 148, 5, 53, 101, 149)(2, 50, 98, 146, 7, 55, 103, 151, 8, 56, 104, 152)(3, 51, 99, 147, 9, 57, 105, 153, 10, 58, 106, 154)(6, 54, 102, 150, 15, 63, 111, 159, 16, 64, 112, 160)(11, 59, 107, 155, 21, 69, 117, 165, 22, 70, 118, 166)(12, 60, 108, 156, 23, 71, 119, 167, 24, 72, 120, 168)(13, 61, 109, 157, 25, 73, 121, 169, 26, 74, 122, 170)(14, 62, 110, 158, 27, 75, 123, 171, 28, 76, 124, 172)(17, 65, 113, 161, 29, 77, 125, 173, 30, 78, 126, 174)(18, 66, 114, 162, 31, 79, 127, 175, 32, 80, 128, 176)(19, 67, 115, 163, 33, 81, 129, 177, 34, 82, 130, 178)(20, 68, 116, 164, 35, 83, 131, 179, 36, 84, 132, 180)(37, 85, 133, 181, 45, 93, 141, 189, 40, 88, 136, 184)(38, 86, 134, 182, 46, 94, 142, 190, 39, 87, 135, 183)(41, 89, 137, 185, 47, 95, 143, 191, 44, 92, 140, 188)(42, 90, 138, 186, 48, 96, 144, 192, 43, 91, 139, 187)
	L = (1, 50)(2, 49)(3, 54)(4, 59)(5, 61)(6, 51)(7, 65)(8, 67)(9, 66)(10, 68)(11, 52)(12, 63)(13, 53)(14, 64)(15, 60)(16, 62)(17, 55)(18, 57)(19, 56)(20, 58)(21, 84)(22, 85)(23, 82)(24, 86)(25, 87)(26, 79)(27, 88)(28, 77)(29, 76)(30, 89)(31, 74)(32, 90)(33, 91)(34, 71)(35, 92)(36, 69)(37, 70)(38, 72)(39, 73)(40, 75)(41, 78)(42, 80)(43, 81)(44, 83)(45, 96)(46, 95)(47, 94)(48, 93)(97, 147)(98, 150)(99, 145)(100, 156)(101, 158)(102, 146)(103, 162)(104, 164)(105, 161)(106, 163)(107, 159)(108, 148)(109, 160)(110, 149)(111, 155)(112, 157)(113, 153)(114, 151)(115, 154)(116, 152)(117, 178)(118, 182)(119, 180)(120, 181)(121, 184)(122, 173)(123, 183)(124, 175)(125, 170)(126, 186)(127, 172)(128, 185)(129, 188)(130, 165)(131, 187)(132, 167)(133, 168)(134, 166)(135, 171)(136, 169)(137, 176)(138, 174)(139, 179)(140, 177)(141, 191)(142, 192)(143, 189)(144, 190)
	local type(s) :: { ( 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12 ) }
Outer automorphisms :: reflexible
Dual of E13.867
Transitivity :: VT+
Graph:: bipartite
	v = 16 e = 96 f = 56
	degree seq :: [ 12^16 ]

E13.870 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 3, 6})
Quotient :: loop^2
Aut^+ = SL(2,3) : C2 (small group id <48, 33>)
Aut   = (C2 . S4 = SL(2,3) . C2) : C2 (small group id <96, 192>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^3, (R * Y3)^2, R * Y1 * R * Y2, Y3^-1 * Y1 * Y2 * Y1 * Y3 * Y1, Y3 * Y2 * Y1 * Y2 * Y3^-1 * Y2, Y1 * Y3^-1 * Y2 * Y3^-1 * Y1 * Y3^-1 * Y2, Y1 * Y2 * Y3 * Y1 * Y3 * Y2 * Y3, (Y3^-1 * Y2 * Y3 * Y1)^2, Y3 * Y2 * Y1 * Y3^-1 * Y1 * Y3 * Y2 * Y3^-1 * Y2 * Y1 ]
Map::
	R = (1, 49, 97, 145, 4, 52, 100, 148, 5, 53, 101, 149)(2, 50, 98, 146, 7, 55, 103, 151, 8, 56, 104, 152)(3, 51, 99, 147, 10, 58, 106, 154, 11, 59, 107, 155)(6, 54, 102, 150, 17, 65, 113, 161, 18, 66, 114, 162)(9, 57, 105, 153, 19, 67, 115, 163, 24, 72, 120, 168)(12, 60, 108, 156, 29, 77, 125, 173, 16, 64, 112, 160)(13, 61, 109, 157, 30, 78, 126, 174, 31, 79, 127, 175)(14, 62, 110, 158, 32, 80, 128, 176, 33, 81, 129, 177)(15, 63, 111, 159, 23, 71, 119, 167, 35, 83, 131, 179)(20, 68, 116, 164, 34, 82, 130, 178, 40, 88, 136, 184)(21, 69, 117, 165, 41, 89, 137, 185, 42, 90, 138, 186)(22, 70, 118, 166, 36, 84, 132, 180, 25, 73, 121, 169)(26, 74, 122, 170, 44, 92, 140, 188, 45, 93, 141, 189)(27, 75, 123, 171, 46, 94, 142, 190, 28, 76, 124, 172)(37, 85, 133, 181, 43, 91, 139, 187, 47, 95, 143, 191)(38, 86, 134, 182, 48, 96, 144, 192, 39, 87, 135, 183)
	L = (1, 50)(2, 49)(3, 57)(4, 60)(5, 62)(6, 64)(7, 67)(8, 69)(9, 51)(10, 73)(11, 75)(12, 52)(13, 74)(14, 53)(15, 82)(16, 54)(17, 83)(18, 86)(19, 55)(20, 85)(21, 56)(22, 78)(23, 84)(24, 91)(25, 58)(26, 61)(27, 59)(28, 81)(29, 92)(30, 70)(31, 89)(32, 88)(33, 76)(34, 63)(35, 65)(36, 71)(37, 68)(38, 66)(39, 90)(40, 80)(41, 79)(42, 87)(43, 72)(44, 77)(45, 95)(46, 96)(47, 93)(48, 94)(97, 147)(98, 150)(99, 145)(100, 157)(101, 159)(102, 146)(103, 164)(104, 166)(105, 167)(106, 170)(107, 162)(108, 172)(109, 148)(110, 165)(111, 149)(112, 180)(113, 181)(114, 155)(115, 183)(116, 151)(117, 158)(118, 152)(119, 153)(120, 173)(121, 177)(122, 154)(123, 187)(124, 156)(125, 168)(126, 178)(127, 190)(128, 189)(129, 169)(130, 174)(131, 186)(132, 160)(133, 161)(134, 188)(135, 163)(136, 192)(137, 191)(138, 179)(139, 171)(140, 182)(141, 176)(142, 175)(143, 185)(144, 184)
	local type(s) :: { ( 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12 ) }
Outer automorphisms :: reflexible
Dual of E13.868
Transitivity :: VT+
Graph:: bipartite
	v = 16 e = 96 f = 56
	degree seq :: [ 12^16 ]

E13.871 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 3, 6})
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 :: [ Y1^2, Y2^2, R^2, R * Y2 * R * Y1, (R * Y3)^2, (Y1 * Y2)^2, Y3^-2 * Y1 * Y2 * Y3^-1, Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y2 * Y3^-1, Y3 * Y1 * Y3^-1 * Y1 * Y3 * Y1 * Y3^-1 * Y2 * Y3 * Y1 * Y3^-1 * Y1 ]
Map::
	R = (1, 49, 97, 145, 4, 52, 100, 148, 13, 61, 109, 157, 6, 54, 102, 150, 16, 64, 112, 160, 5, 53, 101, 149)(2, 50, 98, 146, 7, 55, 103, 151, 10, 58, 106, 154, 3, 51, 99, 147, 9, 57, 105, 153, 8, 56, 104, 152)(11, 59, 107, 155, 21, 69, 117, 165, 24, 72, 120, 168, 12, 60, 108, 156, 23, 71, 119, 167, 22, 70, 118, 166)(14, 62, 110, 158, 25, 73, 121, 169, 28, 76, 124, 172, 15, 63, 111, 159, 27, 75, 123, 171, 26, 74, 122, 170)(17, 65, 113, 161, 29, 77, 125, 173, 32, 80, 128, 176, 18, 66, 114, 162, 31, 79, 127, 175, 30, 78, 126, 174)(19, 67, 115, 163, 33, 81, 129, 177, 36, 84, 132, 180, 20, 68, 116, 164, 35, 83, 131, 179, 34, 82, 130, 178)(37, 85, 133, 181, 45, 93, 141, 189, 40, 88, 136, 184, 38, 86, 134, 182, 46, 94, 142, 190, 39, 87, 135, 183)(41, 89, 137, 185, 47, 95, 143, 191, 44, 92, 140, 188, 42, 90, 138, 186, 48, 96, 144, 192, 43, 91, 139, 187)
	L = (1, 50)(2, 49)(3, 54)(4, 59)(5, 62)(6, 51)(7, 65)(8, 67)(9, 66)(10, 68)(11, 52)(12, 64)(13, 63)(14, 53)(15, 61)(16, 60)(17, 55)(18, 57)(19, 56)(20, 58)(21, 84)(22, 85)(23, 82)(24, 86)(25, 87)(26, 79)(27, 88)(28, 77)(29, 76)(30, 89)(31, 74)(32, 90)(33, 91)(34, 71)(35, 92)(36, 69)(37, 70)(38, 72)(39, 73)(40, 75)(41, 78)(42, 80)(43, 81)(44, 83)(45, 96)(46, 95)(47, 94)(48, 93)(97, 147)(98, 150)(99, 145)(100, 156)(101, 159)(102, 146)(103, 162)(104, 164)(105, 161)(106, 163)(107, 160)(108, 148)(109, 158)(110, 157)(111, 149)(112, 155)(113, 153)(114, 151)(115, 154)(116, 152)(117, 178)(118, 182)(119, 180)(120, 181)(121, 184)(122, 173)(123, 183)(124, 175)(125, 170)(126, 186)(127, 172)(128, 185)(129, 188)(130, 165)(131, 187)(132, 167)(133, 168)(134, 166)(135, 171)(136, 169)(137, 176)(138, 174)(139, 179)(140, 177)(141, 191)(142, 192)(143, 189)(144, 190)
	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 E13.865
Transitivity :: VT+
Graph:: bipartite
	v = 8 e = 96 f = 64
	degree seq :: [ 24^8 ]

E13.872 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 3, 6})
Quotient :: loop^2
Aut^+ = SL(2,3) : C2 (small group id <48, 33>)
Aut   = (C2 . S4 = SL(2,3) . C2) : C2 (small group id <96, 192>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, R * Y2 * R * Y1, (R * Y3)^2, Y2 * Y3 * Y1 * Y3^2, Y3^6, Y3 * Y2 * Y1 * Y2 * Y3^-1 * Y2, Y3^6, Y1 * Y2 * Y1 * Y3 * Y1 * Y3^-1 ]
Map::
	R = (1, 49, 97, 145, 4, 52, 100, 148, 14, 62, 110, 158, 33, 81, 129, 177, 17, 65, 113, 161, 5, 53, 101, 149)(2, 50, 98, 146, 7, 55, 103, 151, 16, 64, 112, 160, 25, 73, 121, 169, 24, 72, 120, 168, 8, 56, 104, 152)(3, 51, 99, 147, 10, 58, 106, 154, 28, 76, 124, 172, 18, 66, 114, 162, 12, 60, 108, 156, 11, 59, 107, 155)(6, 54, 102, 150, 19, 67, 115, 163, 26, 74, 122, 170, 9, 57, 105, 153, 21, 69, 117, 165, 20, 68, 116, 164)(13, 61, 109, 157, 15, 63, 111, 159, 34, 82, 130, 178, 36, 84, 132, 180, 32, 80, 128, 176, 31, 79, 127, 175)(22, 70, 118, 166, 23, 71, 119, 167, 41, 89, 137, 185, 42, 90, 138, 186, 35, 83, 131, 179, 40, 88, 136, 184)(27, 75, 123, 171, 29, 77, 125, 173, 46, 94, 142, 190, 30, 78, 126, 174, 45, 93, 141, 189, 44, 92, 140, 188)(37, 85, 133, 181, 38, 86, 134, 182, 48, 96, 144, 192, 39, 87, 135, 183, 43, 91, 139, 187, 47, 95, 143, 191)
	L = (1, 50)(2, 49)(3, 57)(4, 60)(5, 63)(6, 66)(7, 69)(8, 71)(9, 51)(10, 65)(11, 77)(12, 52)(13, 75)(14, 80)(15, 53)(16, 83)(17, 58)(18, 54)(19, 72)(20, 86)(21, 55)(22, 85)(23, 56)(24, 67)(25, 81)(26, 91)(27, 61)(28, 93)(29, 59)(30, 84)(31, 89)(32, 62)(33, 73)(34, 88)(35, 64)(36, 78)(37, 70)(38, 68)(39, 90)(40, 82)(41, 79)(42, 87)(43, 74)(44, 95)(45, 76)(46, 96)(47, 92)(48, 94)(97, 147)(98, 150)(99, 145)(100, 157)(101, 160)(102, 146)(103, 166)(104, 158)(105, 169)(106, 171)(107, 164)(108, 174)(109, 148)(110, 152)(111, 167)(112, 149)(113, 180)(114, 177)(115, 181)(116, 155)(117, 183)(118, 151)(119, 159)(120, 186)(121, 153)(122, 172)(123, 154)(124, 170)(125, 187)(126, 156)(127, 190)(128, 179)(129, 162)(130, 188)(131, 176)(132, 161)(133, 163)(134, 189)(135, 165)(136, 192)(137, 191)(138, 168)(139, 173)(140, 178)(141, 182)(142, 175)(143, 185)(144, 184)
	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 E13.866
Transitivity :: VT+
Graph:: bipartite
	v = 8 e = 96 f = 64
	degree seq :: [ 24^8 ]

E13.873 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 6})
Quotient :: dipole
Aut^+ = GL(2,3) (small group id <48, 29>)
Aut   = C2 x GL(2,3) (small group id <96, 189>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^3, Y2^3, (Y1 * Y3^-1)^2, (Y1 * Y3^-1)^2, (R * Y3)^2, (R * Y1)^2, Y3 * Y1 * Y3^-2 * Y1, (Y1 * Y2 * Y3^-1)^2, (R * Y2 * Y3^-1)^2, Y3^-1 * Y2 * Y3^-1 * Y2^-1 * Y3 * Y2^-1 ]
Map:: polytopal 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, 21, 69)(9, 57, 26, 74)(12, 60, 32, 80)(13, 61, 25, 73)(14, 62, 28, 76)(15, 63, 23, 71)(17, 65, 38, 86)(18, 66, 24, 72)(19, 67, 42, 90)(20, 68, 37, 85)(22, 70, 36, 84)(27, 75, 35, 83)(29, 77, 43, 91)(30, 78, 34, 82)(31, 79, 41, 89)(33, 81, 46, 94)(39, 87, 45, 93)(40, 88, 44, 92)(47, 95, 48, 96)(97, 145, 99, 147, 101, 149)(98, 146, 103, 151, 105, 153)(100, 148, 110, 158, 111, 159)(102, 150, 115, 163, 116, 164)(104, 152, 120, 168, 121, 169)(106, 154, 125, 173, 126, 174)(107, 155, 118, 166, 127, 175)(108, 156, 129, 177, 117, 165)(109, 157, 130, 178, 122, 170)(112, 160, 119, 167, 133, 181)(113, 161, 135, 183, 132, 180)(114, 162, 136, 184, 137, 185)(123, 171, 140, 188, 128, 176)(124, 172, 141, 189, 142, 190)(131, 179, 144, 192, 139, 187)(134, 182, 143, 191, 138, 186)
	L = (1, 100)(2, 104)(3, 108)(4, 102)(5, 113)(6, 97)(7, 118)(8, 106)(9, 123)(10, 98)(11, 121)(12, 109)(13, 99)(14, 131)(15, 132)(16, 120)(17, 114)(18, 101)(19, 136)(20, 135)(21, 111)(22, 119)(23, 103)(24, 134)(25, 128)(26, 110)(27, 124)(28, 105)(29, 141)(30, 140)(31, 143)(32, 107)(33, 144)(34, 115)(35, 122)(36, 117)(37, 125)(38, 112)(39, 139)(40, 130)(41, 129)(42, 126)(43, 116)(44, 138)(45, 133)(46, 127)(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, 12, 4, 12 ), ( 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E13.878
Graph:: simple bipartite
	v = 40 e = 96 f = 32
	degree seq :: [ 4^24, 6^16 ]

E13.874 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 6})
Quotient :: dipole
Aut^+ = GL(2,3) (small group id <48, 29>)
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^-1 * Y1)^2, Y3^4, Y2 * Y3^-1 * Y2 * Y1 * Y2^-1 * Y1, (Y3^-1 * Y2^-1)^3, (R * Y2 * Y3^-1)^2, (Y2 * Y3 * Y1)^2, Y3 * Y2^-1 * Y3 * Y2^-1 * Y3^-1 * Y2^-1, Y2 * Y3^-1 * Y2^-1 * Y1 * Y2^-1 * Y3 * Y2 * Y1 ]
Map:: polytopal 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, 22, 70)(9, 57, 28, 76)(12, 60, 32, 80)(13, 61, 27, 75)(14, 62, 30, 78)(15, 63, 26, 74)(16, 64, 24, 72)(18, 66, 31, 79)(19, 67, 25, 73)(20, 68, 29, 77)(21, 69, 23, 71)(33, 81, 42, 90)(34, 82, 44, 92)(35, 83, 43, 91)(36, 84, 40, 88)(37, 85, 48, 96)(38, 86, 47, 95)(39, 87, 46, 94)(41, 89, 45, 93)(97, 145, 99, 147, 101, 149)(98, 146, 103, 151, 105, 153)(100, 148, 110, 158, 112, 160)(102, 150, 116, 164, 117, 165)(104, 152, 121, 169, 123, 171)(106, 154, 127, 175, 128, 176)(107, 155, 129, 177, 120, 168)(108, 156, 130, 178, 132, 180)(109, 157, 118, 166, 133, 181)(111, 159, 131, 179, 135, 183)(113, 161, 125, 173, 136, 184)(114, 162, 137, 185, 124, 172)(115, 163, 138, 186, 134, 182)(119, 167, 139, 187, 141, 189)(122, 170, 140, 188, 143, 191)(126, 174, 144, 192, 142, 190)
	L = (1, 100)(2, 104)(3, 108)(4, 111)(5, 114)(6, 97)(7, 119)(8, 122)(9, 125)(10, 98)(11, 123)(12, 131)(13, 99)(14, 134)(15, 102)(16, 130)(17, 121)(18, 135)(19, 101)(20, 124)(21, 118)(22, 112)(23, 140)(24, 103)(25, 142)(26, 106)(27, 139)(28, 110)(29, 143)(30, 105)(31, 113)(32, 107)(33, 144)(34, 117)(35, 109)(36, 137)(37, 138)(38, 116)(39, 115)(40, 129)(41, 133)(42, 132)(43, 128)(44, 120)(45, 136)(46, 127)(47, 126)(48, 141)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 4, 12, 4, 12 ), ( 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E13.879
Graph:: simple bipartite
	v = 40 e = 96 f = 32
	degree seq :: [ 4^24, 6^16 ]

E13.875 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 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, Y3^2, R^2, Y2^3, Y3 * Y2^-1 * Y3 * Y2, (R * Y2)^2, (Y3 * Y1)^2, (R * Y1)^2, (R * Y3)^2, Y1 * Y2^-1 * Y1 * Y3 * Y2 * Y1 * Y2^-1 * Y1 * Y2 ]
Map:: non-degenerate
	R = (1, 49, 2, 50)(3, 51, 9, 57)(4, 52, 7, 55)(5, 53, 12, 60)(6, 54, 13, 61)(8, 56, 16, 64)(10, 58, 18, 66)(11, 59, 20, 68)(14, 62, 24, 72)(15, 63, 26, 74)(17, 65, 29, 77)(19, 67, 32, 80)(21, 69, 35, 83)(22, 70, 36, 84)(23, 71, 37, 85)(25, 73, 31, 79)(27, 75, 33, 81)(28, 76, 40, 88)(30, 78, 42, 90)(34, 82, 43, 91)(38, 86, 46, 94)(39, 87, 47, 95)(41, 89, 45, 93)(44, 92, 48, 96)(97, 145, 99, 147, 101, 149)(98, 146, 102, 150, 104, 152)(100, 148, 106, 154, 107, 155)(103, 151, 110, 158, 111, 159)(105, 153, 113, 161, 115, 163)(108, 156, 117, 165, 118, 166)(109, 157, 119, 167, 121, 169)(112, 160, 123, 171, 124, 172)(114, 162, 126, 174, 127, 175)(116, 164, 129, 177, 130, 178)(120, 168, 134, 182, 128, 176)(122, 170, 131, 179, 135, 183)(125, 173, 137, 185, 139, 187)(132, 180, 138, 186, 140, 188)(133, 181, 141, 189, 143, 191)(136, 184, 142, 190, 144, 192)
	L = (1, 100)(2, 103)(3, 106)(4, 97)(5, 107)(6, 110)(7, 98)(8, 111)(9, 114)(10, 99)(11, 101)(12, 116)(13, 120)(14, 102)(15, 104)(16, 122)(17, 126)(18, 105)(19, 127)(20, 108)(21, 129)(22, 130)(23, 134)(24, 109)(25, 128)(26, 112)(27, 131)(28, 135)(29, 138)(30, 113)(31, 115)(32, 121)(33, 117)(34, 118)(35, 123)(36, 139)(37, 142)(38, 119)(39, 124)(40, 143)(41, 140)(42, 125)(43, 132)(44, 137)(45, 144)(46, 133)(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) :: { ( 4, 12, 4, 12 ), ( 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E13.880
Graph:: simple bipartite
	v = 40 e = 96 f = 32
	degree seq :: [ 4^24, 6^16 ]

E13.876 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 6})
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, Y2^3, Y2 * Y3 * Y2^-1 * Y3, (Y3 * Y1)^2, (R * Y3)^2, (R * Y2)^2, (R * Y1)^2, Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y3 * Y2 ]
Map:: non-degenerate
	R = (1, 49, 2, 50)(3, 51, 9, 57)(4, 52, 7, 55)(5, 53, 12, 60)(6, 54, 13, 61)(8, 56, 16, 64)(10, 58, 18, 66)(11, 59, 20, 68)(14, 62, 24, 72)(15, 63, 26, 74)(17, 65, 29, 77)(19, 67, 32, 80)(21, 69, 35, 83)(22, 70, 36, 84)(23, 71, 34, 82)(25, 73, 38, 86)(27, 75, 40, 88)(28, 76, 30, 78)(31, 79, 41, 89)(33, 81, 43, 91)(37, 85, 45, 93)(39, 87, 47, 95)(42, 90, 48, 96)(44, 92, 46, 94)(97, 145, 99, 147, 101, 149)(98, 146, 102, 150, 104, 152)(100, 148, 106, 154, 107, 155)(103, 151, 110, 158, 111, 159)(105, 153, 113, 161, 115, 163)(108, 156, 117, 165, 118, 166)(109, 157, 119, 167, 121, 169)(112, 160, 123, 171, 124, 172)(114, 162, 126, 174, 127, 175)(116, 164, 129, 177, 130, 178)(120, 168, 132, 180, 133, 181)(122, 170, 135, 183, 125, 173)(128, 176, 138, 186, 139, 187)(131, 179, 137, 185, 140, 188)(134, 182, 142, 190, 143, 191)(136, 184, 141, 189, 144, 192)
	L = (1, 100)(2, 103)(3, 106)(4, 97)(5, 107)(6, 110)(7, 98)(8, 111)(9, 114)(10, 99)(11, 101)(12, 116)(13, 120)(14, 102)(15, 104)(16, 122)(17, 126)(18, 105)(19, 127)(20, 108)(21, 129)(22, 130)(23, 132)(24, 109)(25, 133)(26, 112)(27, 135)(28, 125)(29, 124)(30, 113)(31, 115)(32, 137)(33, 117)(34, 118)(35, 139)(36, 119)(37, 121)(38, 141)(39, 123)(40, 143)(41, 128)(42, 140)(43, 131)(44, 138)(45, 134)(46, 144)(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) :: { ( 4, 12, 4, 12 ), ( 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E13.881
Graph:: simple bipartite
	v = 40 e = 96 f = 32
	degree seq :: [ 4^24, 6^16 ]

E13.877 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 6})
Quotient :: dipole
Aut^+ = GL(2,3) (small group id <48, 29>)
Aut   = (SL(2,3) : C2) : C2 (small group id <96, 193>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^3, (R * Y3)^2, (R * Y1)^2, (Y3 * Y1)^2, Y3^4, (Y2 * Y1)^2, (R * Y2 * Y3^-1)^2, R * Y2 * Y3^-1 * Y2 * R * Y2^-1, Y3 * Y2^-1 * Y3^2 * Y2 * Y3, (Y2^-1 * Y3^-1)^3 ]
Map:: polytopal 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, 26, 74)(12, 60, 25, 73)(13, 61, 28, 76)(14, 62, 23, 71)(15, 63, 27, 75)(16, 64, 21, 69)(17, 65, 20, 68)(18, 66, 24, 72)(19, 67, 22, 70)(29, 77, 44, 92)(30, 78, 46, 94)(31, 79, 48, 96)(32, 80, 45, 93)(33, 81, 47, 95)(34, 82, 39, 87)(35, 83, 42, 90)(36, 84, 40, 88)(37, 85, 43, 91)(38, 86, 41, 89)(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, 120, 168)(106, 154, 123, 171, 124, 172)(107, 155, 125, 173, 127, 175)(108, 156, 128, 176, 129, 177)(110, 158, 126, 174, 132, 180)(112, 160, 133, 181, 131, 179)(113, 161, 134, 182, 130, 178)(116, 164, 135, 183, 137, 185)(117, 165, 138, 186, 139, 187)(119, 167, 136, 184, 142, 190)(121, 169, 143, 191, 141, 189)(122, 170, 144, 192, 140, 188)
	L = (1, 100)(2, 104)(3, 107)(4, 110)(5, 112)(6, 97)(7, 116)(8, 119)(9, 121)(10, 98)(11, 126)(12, 99)(13, 130)(14, 102)(15, 125)(16, 132)(17, 101)(18, 131)(19, 128)(20, 136)(21, 103)(22, 140)(23, 106)(24, 135)(25, 142)(26, 105)(27, 141)(28, 138)(29, 115)(30, 108)(31, 133)(32, 111)(33, 134)(34, 114)(35, 109)(36, 113)(37, 129)(38, 127)(39, 124)(40, 117)(41, 143)(42, 120)(43, 144)(44, 123)(45, 118)(46, 122)(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, 12, 4, 12 ), ( 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E13.882
Graph:: simple bipartite
	v = 40 e = 96 f = 32
	degree seq :: [ 4^24, 6^16 ]

E13.878 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 6})
Quotient :: dipole
Aut^+ = GL(2,3) (small group id <48, 29>)
Aut   = C2 x GL(2,3) (small group id <96, 189>)
|r| :: 2
Presentation :: [ Y2^2, R^2, Y3^3, (Y2 * Y3)^2, (R * Y1)^2, (R * Y3)^2, Y1^-2 * Y3^-1 * Y1 * Y3^-1, Y1^6, (R * Y2 * Y3^-1)^2, (Y2 * Y1 * Y3)^2, Y1^2 * Y3^-1 * Y2 * Y1 * Y2, Y1^6, (Y3^-1 * Y1^-1)^3 ]
Map:: polytopal non-degenerate
	R = (1, 49, 2, 50, 7, 55, 23, 71, 19, 67, 5, 53)(3, 51, 11, 59, 32, 80, 46, 94, 38, 86, 13, 61)(4, 52, 15, 63, 10, 58, 31, 79, 33, 81, 16, 64)(6, 54, 21, 69, 41, 89, 45, 93, 18, 66, 22, 70)(8, 56, 26, 74, 12, 60, 36, 84, 35, 83, 28, 76)(9, 57, 30, 78, 25, 73, 43, 91, 40, 88, 20, 68)(14, 62, 39, 87, 48, 96, 47, 95, 37, 85, 29, 77)(17, 65, 44, 92, 42, 90, 24, 72, 34, 82, 27, 75)(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, 125, 173)(106, 154, 123, 171)(107, 155, 129, 177)(109, 157, 121, 169)(111, 159, 134, 182)(112, 160, 138, 186)(114, 162, 135, 183)(115, 163, 132, 180)(116, 164, 128, 176)(117, 165, 133, 181)(118, 166, 130, 178)(119, 167, 142, 190)(122, 170, 136, 184)(124, 172, 141, 189)(126, 174, 131, 179)(127, 175, 143, 191)(137, 185, 140, 188)(139, 187, 144, 192)
	L = (1, 100)(2, 105)(3, 108)(4, 102)(5, 114)(6, 97)(7, 117)(8, 123)(9, 106)(10, 98)(11, 130)(12, 110)(13, 133)(14, 99)(15, 136)(16, 115)(17, 128)(18, 116)(19, 139)(20, 101)(21, 121)(22, 129)(23, 127)(24, 109)(25, 103)(26, 134)(27, 125)(28, 143)(29, 104)(30, 118)(31, 141)(32, 135)(33, 126)(34, 131)(35, 107)(36, 138)(37, 120)(38, 140)(39, 113)(40, 137)(41, 111)(42, 144)(43, 112)(44, 122)(45, 119)(46, 124)(47, 142)(48, 132)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 4, 6, 4, 6 ), ( 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible
Dual of E13.873
Graph:: simple bipartite
	v = 32 e = 96 f = 40
	degree seq :: [ 4^24, 12^8 ]

E13.879 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 6})
Quotient :: dipole
Aut^+ = GL(2,3) (small group id <48, 29>)
Aut   = C2 x GL(2,3) (small group id <96, 189>)
|r| :: 2
Presentation :: [ Y2^2, R^2, (R * Y1)^2, (Y3 * Y2)^2, (R * Y3)^2, Y3^4, Y1^2 * Y3^-2 * Y1, Y3 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1, (R * Y2 * Y3^-1)^2, Y3 * Y1^-1 * Y2 * Y1 * Y2 * Y1^-1, (Y3^-1 * Y2 * Y1^-1)^2, (Y3^-1 * Y1^-1)^3, Y1 * Y2 * Y3^-1 * Y1^-1 * Y3^-1 * Y2 * Y1 ]
Map:: polytopal non-degenerate
	R = (1, 49, 2, 50, 7, 55, 16, 64, 20, 68, 5, 53)(3, 51, 11, 59, 33, 81, 36, 84, 39, 87, 13, 61)(4, 52, 15, 63, 23, 71, 6, 54, 22, 70, 17, 65)(8, 56, 25, 73, 34, 82, 45, 93, 48, 96, 27, 75)(9, 57, 29, 77, 32, 80, 10, 58, 31, 79, 30, 78)(12, 60, 35, 83, 28, 76, 14, 62, 41, 89, 26, 74)(18, 66, 38, 86, 47, 95, 24, 72, 40, 88, 43, 91)(19, 67, 44, 92, 42, 90, 21, 69, 46, 94, 37, 85)(97, 145, 99, 147)(98, 146, 104, 152)(100, 148, 110, 158)(101, 149, 114, 162)(102, 150, 108, 156)(103, 151, 120, 168)(105, 153, 124, 172)(106, 154, 122, 170)(107, 155, 127, 175)(109, 157, 133, 181)(111, 159, 136, 184)(112, 160, 132, 180)(113, 161, 123, 171)(115, 163, 137, 185)(116, 164, 141, 189)(117, 165, 131, 179)(118, 166, 134, 182)(119, 167, 130, 178)(121, 169, 140, 188)(125, 173, 135, 183)(126, 174, 143, 191)(128, 176, 139, 187)(129, 177, 138, 186)(142, 190, 144, 192)
	L = (1, 100)(2, 105)(3, 108)(4, 112)(5, 115)(6, 97)(7, 117)(8, 122)(9, 116)(10, 98)(11, 130)(12, 132)(13, 134)(14, 99)(15, 138)(16, 102)(17, 125)(18, 131)(19, 103)(20, 106)(21, 101)(22, 133)(23, 127)(24, 137)(25, 139)(26, 141)(27, 107)(28, 104)(29, 119)(30, 142)(31, 113)(32, 140)(33, 136)(34, 135)(35, 120)(36, 110)(37, 111)(38, 129)(39, 123)(40, 109)(41, 114)(42, 118)(43, 144)(44, 126)(45, 124)(46, 128)(47, 121)(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 ) }
Outer automorphisms :: reflexible
Dual of E13.874
Graph:: simple bipartite
	v = 32 e = 96 f = 40
	degree seq :: [ 4^24, 12^8 ]

E13.880 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 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, Y2^2, Y3^2, Y1^-2 * Y3 * Y1^-1, (R * Y2)^2, (Y3 * Y2)^2, (R * Y1)^2, (R * Y3)^2, Y1^-1 * Y2 * Y1 * Y2 * Y1^-1 * Y2 * Y1 * Y2 * Y3 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 6, 54, 4, 52, 8, 56, 5, 53)(3, 51, 9, 57, 17, 65, 10, 58, 19, 67, 11, 59)(7, 55, 14, 62, 25, 73, 15, 63, 27, 75, 16, 64)(12, 60, 21, 69, 24, 72, 13, 61, 23, 71, 22, 70)(18, 66, 30, 78, 28, 76, 31, 79, 42, 90, 32, 80)(20, 68, 33, 81, 40, 88, 29, 77, 35, 83, 34, 82)(26, 74, 38, 86, 37, 85, 39, 87, 44, 92, 36, 84)(41, 89, 45, 93, 46, 94, 47, 95, 48, 96, 43, 91)(97, 145, 99, 147)(98, 146, 103, 151)(100, 148, 106, 154)(101, 149, 108, 156)(102, 150, 109, 157)(104, 152, 111, 159)(105, 153, 114, 162)(107, 155, 116, 164)(110, 158, 122, 170)(112, 160, 124, 172)(113, 161, 125, 173)(115, 163, 127, 175)(117, 165, 131, 179)(118, 166, 132, 180)(119, 167, 129, 177)(120, 168, 133, 181)(121, 169, 128, 176)(123, 171, 135, 183)(126, 174, 137, 185)(130, 178, 139, 187)(134, 182, 141, 189)(136, 184, 142, 190)(138, 186, 143, 191)(140, 188, 144, 192)
	L = (1, 100)(2, 104)(3, 106)(4, 97)(5, 102)(6, 101)(7, 111)(8, 98)(9, 115)(10, 99)(11, 113)(12, 109)(13, 108)(14, 123)(15, 103)(16, 121)(17, 107)(18, 127)(19, 105)(20, 125)(21, 119)(22, 120)(23, 117)(24, 118)(25, 112)(26, 135)(27, 110)(28, 128)(29, 116)(30, 138)(31, 114)(32, 124)(33, 131)(34, 136)(35, 129)(36, 133)(37, 132)(38, 140)(39, 122)(40, 130)(41, 143)(42, 126)(43, 142)(44, 134)(45, 144)(46, 139)(47, 137)(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, 6, 4, 6 ), ( 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible
Dual of E13.875
Graph:: bipartite
	v = 32 e = 96 f = 40
	degree seq :: [ 4^24, 12^8 ]

E13.881 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 6})
Quotient :: dipole
Aut^+ = GL(2,3) (small group id <48, 29>)
Aut   = (SL(2,3) : C2) : C2 (small group id <96, 193>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, Y1^-3 * Y3, (R * Y2)^2, (R * Y1)^2, (R * Y3)^2, Y3 * Y1 * Y3 * Y1^-1, (Y3 * Y2)^2, Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y3 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 6, 54, 4, 52, 8, 56, 5, 53)(3, 51, 9, 57, 17, 65, 10, 58, 19, 67, 11, 59)(7, 55, 14, 62, 25, 73, 15, 63, 27, 75, 16, 64)(12, 60, 21, 69, 24, 72, 13, 61, 23, 71, 22, 70)(18, 66, 30, 78, 41, 89, 31, 79, 36, 84, 32, 80)(20, 68, 33, 81, 26, 74, 29, 77, 40, 88, 34, 82)(28, 76, 39, 87, 37, 85, 38, 86, 44, 92, 35, 83)(42, 90, 48, 96, 46, 94, 47, 95, 45, 93, 43, 91)(97, 145, 99, 147)(98, 146, 103, 151)(100, 148, 106, 154)(101, 149, 108, 156)(102, 150, 109, 157)(104, 152, 111, 159)(105, 153, 114, 162)(107, 155, 116, 164)(110, 158, 122, 170)(112, 160, 124, 172)(113, 161, 125, 173)(115, 163, 127, 175)(117, 165, 131, 179)(118, 166, 132, 180)(119, 167, 133, 181)(120, 168, 126, 174)(121, 169, 134, 182)(123, 171, 130, 178)(128, 176, 138, 186)(129, 177, 139, 187)(135, 183, 141, 189)(136, 184, 142, 190)(137, 185, 143, 191)(140, 188, 144, 192)
	L = (1, 100)(2, 104)(3, 106)(4, 97)(5, 102)(6, 101)(7, 111)(8, 98)(9, 115)(10, 99)(11, 113)(12, 109)(13, 108)(14, 123)(15, 103)(16, 121)(17, 107)(18, 127)(19, 105)(20, 125)(21, 119)(22, 120)(23, 117)(24, 118)(25, 112)(26, 130)(27, 110)(28, 134)(29, 116)(30, 132)(31, 114)(32, 137)(33, 136)(34, 122)(35, 133)(36, 126)(37, 131)(38, 124)(39, 140)(40, 129)(41, 128)(42, 143)(43, 142)(44, 135)(45, 144)(46, 139)(47, 138)(48, 141)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 4, 6, 4, 6 ), ( 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible
Dual of E13.876
Graph:: bipartite
	v = 32 e = 96 f = 40
	degree seq :: [ 4^24, 12^8 ]

E13.882 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 6})
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 :: [ Y2^2, R^2, (R * Y1)^2, (Y3 * Y2)^2, (Y2 * Y1)^2, (R * Y3)^2, Y3^4, Y3^-1 * Y1^3 * Y3^-1, (R * Y2 * Y3^-1)^2, Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3^-1 ]
Map:: polytopal non-degenerate
	R = (1, 49, 2, 50, 7, 55, 15, 63, 18, 66, 5, 53)(3, 51, 11, 59, 29, 77, 33, 81, 22, 70, 8, 56)(4, 52, 14, 62, 21, 69, 6, 54, 20, 68, 16, 64)(9, 57, 25, 73, 28, 76, 10, 58, 27, 75, 26, 74)(12, 60, 32, 80, 36, 84, 13, 61, 35, 83, 34, 82)(17, 65, 39, 87, 37, 85, 19, 67, 40, 88, 38, 86)(23, 71, 41, 89, 44, 92, 24, 72, 43, 91, 42, 90)(30, 78, 45, 93, 48, 96, 31, 79, 47, 95, 46, 94)(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, 120, 168)(106, 154, 119, 167)(110, 158, 132, 180)(111, 159, 129, 177)(112, 160, 131, 179)(113, 161, 127, 175)(114, 162, 125, 173)(115, 163, 126, 174)(116, 164, 130, 178)(117, 165, 128, 176)(121, 169, 140, 188)(122, 170, 139, 187)(123, 171, 138, 186)(124, 172, 137, 185)(133, 181, 141, 189)(134, 182, 143, 191)(135, 183, 144, 192)(136, 184, 142, 190)
	L = (1, 100)(2, 105)(3, 108)(4, 111)(5, 113)(6, 97)(7, 115)(8, 119)(9, 114)(10, 98)(11, 126)(12, 129)(13, 99)(14, 133)(15, 102)(16, 121)(17, 103)(18, 106)(19, 101)(20, 134)(21, 123)(22, 127)(23, 125)(24, 104)(25, 117)(26, 136)(27, 112)(28, 135)(29, 120)(30, 118)(31, 107)(32, 140)(33, 109)(34, 141)(35, 138)(36, 143)(37, 116)(38, 110)(39, 122)(40, 124)(41, 142)(42, 128)(43, 144)(44, 131)(45, 132)(46, 139)(47, 130)(48, 137)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 4, 6, 4, 6 ), ( 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible
Dual of E13.877
Graph:: simple bipartite
	v = 32 e = 96 f = 40
	degree seq :: [ 4^24, 12^8 ]

E13.883 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 3, 6})
Quotient :: halfedge^2
Aut^+ = C2 x S4 (small group id <48, 48>)
Aut   = (C2 x S4) : C2 (small group id <96, 187>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, R * Y3 * R * Y2, (R * Y1)^2, (Y2 * Y3)^2, Y3 * Y1^-3 * Y2, Y2 * Y1^-1 * Y2 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1, (Y2 * Y1 * Y2 * Y1^-1)^3 ]
Map:: non-degenerate
	R = (1, 50, 2, 54, 6, 58, 10, 64, 16, 53, 5, 49)(3, 57, 9, 61, 13, 52, 4, 60, 12, 59, 11, 51)(7, 65, 17, 68, 20, 56, 8, 67, 19, 66, 18, 55)(14, 73, 25, 76, 28, 63, 15, 75, 27, 74, 26, 62)(21, 81, 33, 84, 36, 70, 22, 83, 35, 82, 34, 69)(23, 85, 37, 78, 30, 72, 24, 86, 38, 77, 29, 71)(31, 89, 41, 87, 39, 80, 32, 90, 42, 88, 40, 79)(43, 95, 47, 93, 45, 92, 44, 96, 48, 94, 46, 91)
	L = (1, 3)(2, 7)(4, 10)(5, 14)(6, 15)(8, 16)(9, 21)(11, 23)(12, 22)(13, 24)(17, 29)(18, 31)(19, 30)(20, 32)(25, 39)(26, 33)(27, 40)(28, 35)(34, 43)(36, 44)(37, 45)(38, 46)(41, 47)(42, 48)(49, 52)(50, 56)(51, 58)(53, 63)(54, 62)(55, 64)(57, 70)(59, 72)(60, 69)(61, 71)(65, 78)(66, 80)(67, 77)(68, 79)(73, 88)(74, 83)(75, 87)(76, 81)(82, 92)(84, 91)(85, 94)(86, 93)(89, 96)(90, 95)
	local type(s) :: { ( 6^12 ) }
Outer automorphisms :: reflexible
Dual of E13.885
Transitivity :: VT+ AT
Graph:: bipartite
	v = 8 e = 48 f = 16
	degree seq :: [ 12^8 ]

E13.884 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 3, 6})
Quotient :: halfedge^2
Aut^+ = C2 x C2 x A4 (small group id <48, 49>)
Aut   = (C2 x C2 x A4) : C2 (small group id <96, 195>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, R * Y3 * R * Y2, (R * Y1)^2, (Y3 * Y2)^2, Y3 * Y1^2 * Y2 * Y1, Y1^6, Y1^6, (Y3 * Y1 * Y2 * Y1^-1)^2, (Y2 * Y1 * Y2 * Y1^-1)^2 ]
Map:: non-degenerate
	R = (1, 50, 2, 54, 6, 65, 17, 64, 16, 53, 5, 49)(3, 57, 9, 70, 22, 69, 21, 56, 8, 59, 11, 51)(4, 60, 12, 62, 14, 80, 32, 79, 31, 61, 13, 52)(7, 63, 15, 82, 34, 83, 35, 66, 18, 68, 20, 55)(10, 72, 24, 74, 26, 88, 40, 77, 29, 73, 25, 58)(19, 84, 36, 86, 38, 71, 23, 75, 27, 85, 37, 67)(28, 78, 30, 93, 45, 94, 46, 81, 33, 87, 39, 76)(41, 90, 42, 95, 47, 92, 44, 91, 43, 96, 48, 89)
	L = (1, 3)(2, 7)(4, 10)(5, 14)(6, 13)(8, 19)(9, 23)(11, 26)(12, 28)(15, 33)(16, 35)(17, 21)(18, 30)(20, 38)(22, 25)(24, 41)(27, 43)(29, 44)(31, 46)(32, 40)(34, 37)(36, 42)(39, 48)(45, 47)(49, 52)(50, 56)(51, 58)(53, 63)(54, 66)(55, 67)(57, 64)(59, 75)(60, 77)(61, 78)(62, 81)(65, 80)(68, 87)(69, 88)(70, 84)(71, 83)(72, 79)(73, 90)(74, 91)(76, 92)(82, 93)(85, 95)(86, 96)(89, 94)
	local type(s) :: { ( 6^12 ) }
Outer automorphisms :: reflexible
Dual of E13.886
Transitivity :: VT+ AT
Graph:: bipartite
	v = 8 e = 48 f = 16
	degree seq :: [ 12^8 ]

E13.885 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 3, 6})
Quotient :: halfedge^2
Aut^+ = C2 x S4 (small group id <48, 48>)
Aut   = (C2 x S4) : C2 (small group id <96, 187>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, Y1^3, (Y3 * Y2)^2, R * Y3 * R * Y2, (R * Y1)^2, Y3 * Y2 * Y1 * Y3 * Y2 * Y1^-1, Y3 * Y1^-1 * Y3 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1, (Y2 * Y1 * Y2 * Y1^-1)^3 ]
Map:: non-degenerate
	R = (1, 50, 2, 53, 5, 49)(3, 56, 8, 58, 10, 51)(4, 59, 11, 60, 12, 52)(6, 63, 15, 65, 17, 54)(7, 66, 18, 67, 19, 55)(9, 64, 16, 70, 22, 57)(13, 73, 25, 74, 26, 61)(14, 75, 27, 76, 28, 62)(20, 81, 33, 82, 34, 68)(21, 83, 35, 84, 36, 69)(23, 85, 37, 77, 29, 71)(24, 86, 38, 78, 30, 72)(31, 89, 41, 87, 39, 79)(32, 90, 42, 88, 40, 80)(43, 95, 47, 93, 45, 91)(44, 96, 48, 94, 46, 92)
	L = (1, 3)(2, 6)(4, 9)(5, 13)(7, 16)(8, 20)(10, 23)(11, 21)(12, 24)(14, 22)(15, 29)(17, 31)(18, 30)(19, 32)(25, 39)(26, 33)(27, 40)(28, 35)(34, 43)(36, 44)(37, 45)(38, 46)(41, 47)(42, 48)(49, 52)(50, 55)(51, 57)(53, 62)(54, 64)(56, 69)(58, 72)(59, 68)(60, 71)(61, 70)(63, 78)(65, 80)(66, 77)(67, 79)(73, 88)(74, 83)(75, 87)(76, 81)(82, 92)(84, 91)(85, 94)(86, 93)(89, 96)(90, 95)
	local type(s) :: { ( 12^6 ) }
Outer automorphisms :: reflexible
Dual of E13.883
Transitivity :: VT+ AT
Graph:: simple bipartite
	v = 16 e = 48 f = 8
	degree seq :: [ 6^16 ]

E13.886 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 3, 6})
Quotient :: halfedge^2
Aut^+ = C2 x C2 x A4 (small group id <48, 49>)
Aut   = (C2 x C2 x A4) : C2 (small group id <96, 195>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, Y1^3, (Y3 * Y2)^2, R * Y3 * R * Y2, (R * Y1)^2, Y2 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y2 * Y1^-1, (Y1^-1 * Y2 * Y1 * Y3)^2, (Y3 * Y1 * Y2 * Y1^-1)^2 ]
Map:: non-degenerate
	R = (1, 50, 2, 53, 5, 49)(3, 56, 8, 58, 10, 51)(4, 59, 11, 60, 12, 52)(6, 63, 15, 65, 17, 54)(7, 66, 18, 67, 19, 55)(9, 70, 22, 71, 23, 57)(13, 78, 30, 80, 32, 61)(14, 81, 33, 82, 34, 62)(16, 73, 25, 83, 35, 64)(20, 86, 38, 84, 36, 68)(21, 76, 28, 87, 39, 69)(24, 88, 40, 75, 27, 72)(26, 79, 31, 85, 37, 74)(29, 93, 45, 94, 46, 77)(41, 91, 43, 96, 48, 89)(42, 95, 47, 92, 44, 90)
	L = (1, 3)(2, 6)(4, 9)(5, 13)(7, 16)(8, 20)(10, 24)(11, 26)(12, 28)(14, 31)(15, 29)(17, 36)(18, 23)(19, 39)(21, 34)(22, 41)(25, 43)(27, 44)(30, 40)(32, 46)(33, 35)(37, 48)(38, 42)(45, 47)(49, 52)(50, 55)(51, 57)(53, 62)(54, 64)(56, 69)(58, 73)(59, 75)(60, 77)(61, 79)(63, 76)(65, 85)(66, 86)(67, 88)(68, 82)(70, 80)(71, 90)(72, 91)(74, 92)(78, 87)(81, 93)(83, 95)(84, 96)(89, 94)
	local type(s) :: { ( 12^6 ) }
Outer automorphisms :: reflexible
Dual of E13.884
Transitivity :: VT+ AT
Graph:: simple bipartite
	v = 16 e = 48 f = 8
	degree seq :: [ 6^16 ]

E13.887 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 3, 6})
Quotient :: edge^2
Aut^+ = C2 x S4 (small group id <48, 48>)
Aut   = (C2 x S4) : C2 (small group id <96, 187>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^3, (Y2 * Y1)^2, R * Y1 * R * Y2, (R * Y3)^2, Y2 * Y3^-1 * Y1 * Y2 * Y3 * Y1, (Y3^-1 * Y1 * Y3^-1 * Y2)^2, (Y1 * Y3^-1)^4, (Y3 * Y1 * Y3^-1 * Y1)^3 ]
Map::
	R = (1, 49, 4, 52, 5, 53)(2, 50, 7, 55, 8, 56)(3, 51, 9, 57, 10, 58)(6, 54, 15, 63, 16, 64)(11, 59, 21, 69, 22, 70)(12, 60, 23, 71, 24, 72)(13, 61, 25, 73, 26, 74)(14, 62, 27, 75, 28, 76)(17, 65, 29, 77, 30, 78)(18, 66, 31, 79, 32, 80)(19, 67, 33, 81, 34, 82)(20, 68, 35, 83, 36, 84)(37, 85, 45, 93, 39, 87)(38, 86, 46, 94, 40, 88)(41, 89, 47, 95, 43, 91)(42, 90, 48, 96, 44, 92)(97, 98)(99, 102)(100, 107)(101, 109)(103, 113)(104, 115)(105, 114)(106, 116)(108, 111)(110, 112)(117, 130)(118, 133)(119, 132)(120, 134)(121, 135)(122, 125)(123, 136)(124, 127)(126, 137)(128, 138)(129, 139)(131, 140)(141, 143)(142, 144)(145, 147)(146, 150)(148, 156)(149, 158)(151, 162)(152, 164)(153, 161)(154, 163)(155, 159)(157, 160)(165, 180)(166, 182)(167, 178)(168, 181)(169, 184)(170, 175)(171, 183)(172, 173)(174, 186)(176, 185)(177, 188)(179, 187)(189, 192)(190, 191)
	L = (1, 97)(2, 98)(3, 99)(4, 100)(5, 101)(6, 102)(7, 103)(8, 104)(9, 105)(10, 106)(11, 107)(12, 108)(13, 109)(14, 110)(15, 111)(16, 112)(17, 113)(18, 114)(19, 115)(20, 116)(21, 117)(22, 118)(23, 119)(24, 120)(25, 121)(26, 122)(27, 123)(28, 124)(29, 125)(30, 126)(31, 127)(32, 128)(33, 129)(34, 130)(35, 131)(36, 132)(37, 133)(38, 134)(39, 135)(40, 136)(41, 137)(42, 138)(43, 139)(44, 140)(45, 141)(46, 142)(47, 143)(48, 144)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 24, 24 ), ( 24^6 ) }
Outer automorphisms :: reflexible
Dual of E13.893
Graph:: simple bipartite
	v = 64 e = 96 f = 8
	degree seq :: [ 2^48, 6^16 ]

E13.888 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 3, 6})
Quotient :: edge^2
Aut^+ = C2 x C2 x A4 (small group id <48, 49>)
Aut   = (C2 x C2 x A4) : C2 (small group id <96, 195>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^3, (Y1 * Y2)^2, R * Y2 * R * Y1, (R * Y3)^2, Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y3^-1 * Y1, (Y3^-1 * Y1 * Y3 * Y1)^2, (Y3 * Y2 * Y3^-1 * Y2)^2, (Y3 * Y2 * Y3^-1 * Y1)^2 ]
Map::
	R = (1, 49, 4, 52, 5, 53)(2, 50, 7, 55, 8, 56)(3, 51, 9, 57, 10, 58)(6, 54, 15, 63, 16, 64)(11, 59, 26, 74, 27, 75)(12, 60, 28, 76, 29, 77)(13, 61, 31, 79, 32, 80)(14, 62, 33, 81, 34, 82)(17, 65, 24, 72, 38, 86)(18, 66, 30, 78, 39, 87)(19, 67, 40, 88, 41, 89)(20, 68, 42, 90, 21, 69)(22, 70, 43, 91, 44, 92)(23, 71, 46, 94, 25, 73)(35, 83, 45, 93, 47, 95)(36, 84, 48, 96, 37, 85)(97, 98)(99, 102)(100, 107)(101, 109)(103, 113)(104, 115)(105, 117)(106, 119)(108, 121)(110, 126)(111, 130)(112, 132)(114, 133)(116, 124)(118, 128)(120, 141)(122, 139)(123, 134)(125, 135)(127, 136)(129, 138)(131, 137)(140, 143)(142, 144)(145, 147)(146, 150)(148, 156)(149, 158)(151, 162)(152, 164)(153, 166)(154, 168)(155, 169)(157, 174)(159, 179)(160, 170)(161, 181)(163, 172)(165, 176)(167, 189)(171, 186)(173, 188)(175, 190)(177, 182)(178, 185)(180, 187)(183, 191)(184, 192)
	L = (1, 97)(2, 98)(3, 99)(4, 100)(5, 101)(6, 102)(7, 103)(8, 104)(9, 105)(10, 106)(11, 107)(12, 108)(13, 109)(14, 110)(15, 111)(16, 112)(17, 113)(18, 114)(19, 115)(20, 116)(21, 117)(22, 118)(23, 119)(24, 120)(25, 121)(26, 122)(27, 123)(28, 124)(29, 125)(30, 126)(31, 127)(32, 128)(33, 129)(34, 130)(35, 131)(36, 132)(37, 133)(38, 134)(39, 135)(40, 136)(41, 137)(42, 138)(43, 139)(44, 140)(45, 141)(46, 142)(47, 143)(48, 144)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 24, 24 ), ( 24^6 ) }
Outer automorphisms :: reflexible
Dual of E13.894
Graph:: simple bipartite
	v = 64 e = 96 f = 8
	degree seq :: [ 2^48, 6^16 ]

E13.889 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 3, 6})
Quotient :: edge^2
Aut^+ = C2 x S4 (small group id <48, 48>)
Aut   = (C2 x S4) : C2 (small group id <96, 187>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, R * Y2 * R * Y1, (R * Y3)^2, (Y1 * Y2)^2, Y2 * Y3^3 * Y1, (Y1 * Y3^-1 * Y2 * Y3^-1)^2, (Y3 * Y1 * Y3^-1 * Y1)^3 ]
Map::
	R = (1, 49, 4, 52, 13, 61, 6, 54, 16, 64, 5, 53)(2, 50, 7, 55, 10, 58, 3, 51, 9, 57, 8, 56)(11, 59, 21, 69, 24, 72, 12, 60, 23, 71, 22, 70)(14, 62, 25, 73, 28, 76, 15, 63, 27, 75, 26, 74)(17, 65, 29, 77, 32, 80, 18, 66, 31, 79, 30, 78)(19, 67, 33, 81, 36, 84, 20, 68, 35, 83, 34, 82)(37, 85, 45, 93, 39, 87, 38, 86, 46, 94, 40, 88)(41, 89, 47, 95, 43, 91, 42, 90, 48, 96, 44, 92)(97, 98)(99, 102)(100, 107)(101, 110)(103, 113)(104, 115)(105, 114)(106, 116)(108, 112)(109, 111)(117, 130)(118, 133)(119, 132)(120, 134)(121, 135)(122, 125)(123, 136)(124, 127)(126, 137)(128, 138)(129, 139)(131, 140)(141, 143)(142, 144)(145, 147)(146, 150)(148, 156)(149, 159)(151, 162)(152, 164)(153, 161)(154, 163)(155, 160)(157, 158)(165, 180)(166, 182)(167, 178)(168, 181)(169, 184)(170, 175)(171, 183)(172, 173)(174, 186)(176, 185)(177, 188)(179, 187)(189, 192)(190, 191)
	L = (1, 97)(2, 98)(3, 99)(4, 100)(5, 101)(6, 102)(7, 103)(8, 104)(9, 105)(10, 106)(11, 107)(12, 108)(13, 109)(14, 110)(15, 111)(16, 112)(17, 113)(18, 114)(19, 115)(20, 116)(21, 117)(22, 118)(23, 119)(24, 120)(25, 121)(26, 122)(27, 123)(28, 124)(29, 125)(30, 126)(31, 127)(32, 128)(33, 129)(34, 130)(35, 131)(36, 132)(37, 133)(38, 134)(39, 135)(40, 136)(41, 137)(42, 138)(43, 139)(44, 140)(45, 141)(46, 142)(47, 143)(48, 144)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 12, 12 ), ( 12^12 ) }
Outer automorphisms :: reflexible
Dual of E13.891
Graph:: simple bipartite
	v = 56 e = 96 f = 16
	degree seq :: [ 2^48, 12^8 ]

E13.890 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 3, 6})
Quotient :: edge^2
Aut^+ = C2 x C2 x A4 (small group id <48, 49>)
Aut   = (C2 x C2 x A4) : C2 (small group id <96, 195>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, R * Y2 * R * Y1, (R * Y3)^2, (Y2 * Y1)^2, Y2 * Y3^-2 * Y1 * Y3^-1, Y3^6, (Y3 * Y2 * Y3^-1 * Y2)^2, (Y3 * Y1 * Y3^-1 * Y1)^2, (Y3 * Y2 * Y3^-1 * Y1)^2 ]
Map::
	R = (1, 49, 4, 52, 13, 61, 31, 79, 16, 64, 5, 53)(2, 50, 7, 55, 15, 63, 34, 82, 22, 70, 8, 56)(3, 51, 9, 57, 24, 72, 28, 76, 11, 59, 10, 58)(6, 54, 17, 65, 26, 74, 39, 87, 19, 67, 18, 66)(12, 60, 14, 62, 33, 81, 35, 83, 30, 78, 29, 77)(20, 68, 21, 69, 41, 89, 42, 90, 32, 80, 40, 88)(23, 71, 25, 73, 46, 94, 27, 75, 44, 92, 43, 91)(36, 84, 37, 85, 48, 96, 38, 86, 45, 93, 47, 95)(97, 98)(99, 102)(100, 107)(101, 110)(103, 115)(104, 117)(105, 112)(106, 121)(108, 123)(109, 126)(111, 128)(113, 118)(114, 133)(116, 134)(119, 131)(120, 140)(122, 141)(124, 135)(125, 136)(127, 130)(129, 137)(132, 138)(139, 143)(142, 144)(145, 147)(146, 150)(148, 156)(149, 159)(151, 164)(152, 157)(153, 167)(154, 170)(155, 171)(158, 176)(160, 179)(161, 180)(162, 168)(163, 182)(165, 174)(166, 186)(169, 189)(172, 175)(173, 187)(177, 190)(178, 183)(181, 188)(184, 191)(185, 192)
	L = (1, 97)(2, 98)(3, 99)(4, 100)(5, 101)(6, 102)(7, 103)(8, 104)(9, 105)(10, 106)(11, 107)(12, 108)(13, 109)(14, 110)(15, 111)(16, 112)(17, 113)(18, 114)(19, 115)(20, 116)(21, 117)(22, 118)(23, 119)(24, 120)(25, 121)(26, 122)(27, 123)(28, 124)(29, 125)(30, 126)(31, 127)(32, 128)(33, 129)(34, 130)(35, 131)(36, 132)(37, 133)(38, 134)(39, 135)(40, 136)(41, 137)(42, 138)(43, 139)(44, 140)(45, 141)(46, 142)(47, 143)(48, 144)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 12, 12 ), ( 12^12 ) }
Outer automorphisms :: reflexible
Dual of E13.892
Graph:: simple bipartite
	v = 56 e = 96 f = 16
	degree seq :: [ 2^48, 12^8 ]

E13.891 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 3, 6})
Quotient :: loop^2
Aut^+ = C2 x S4 (small group id <48, 48>)
Aut   = (C2 x S4) : C2 (small group id <96, 187>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^3, (Y2 * Y1)^2, R * Y1 * R * Y2, (R * Y3)^2, Y2 * Y3^-1 * Y1 * Y2 * Y3 * Y1, (Y3^-1 * Y1 * Y3^-1 * Y2)^2, (Y1 * Y3^-1)^4, (Y3 * Y1 * Y3^-1 * Y1)^3 ]
Map::
	R = (1, 49, 97, 145, 4, 52, 100, 148, 5, 53, 101, 149)(2, 50, 98, 146, 7, 55, 103, 151, 8, 56, 104, 152)(3, 51, 99, 147, 9, 57, 105, 153, 10, 58, 106, 154)(6, 54, 102, 150, 15, 63, 111, 159, 16, 64, 112, 160)(11, 59, 107, 155, 21, 69, 117, 165, 22, 70, 118, 166)(12, 60, 108, 156, 23, 71, 119, 167, 24, 72, 120, 168)(13, 61, 109, 157, 25, 73, 121, 169, 26, 74, 122, 170)(14, 62, 110, 158, 27, 75, 123, 171, 28, 76, 124, 172)(17, 65, 113, 161, 29, 77, 125, 173, 30, 78, 126, 174)(18, 66, 114, 162, 31, 79, 127, 175, 32, 80, 128, 176)(19, 67, 115, 163, 33, 81, 129, 177, 34, 82, 130, 178)(20, 68, 116, 164, 35, 83, 131, 179, 36, 84, 132, 180)(37, 85, 133, 181, 45, 93, 141, 189, 39, 87, 135, 183)(38, 86, 134, 182, 46, 94, 142, 190, 40, 88, 136, 184)(41, 89, 137, 185, 47, 95, 143, 191, 43, 91, 139, 187)(42, 90, 138, 186, 48, 96, 144, 192, 44, 92, 140, 188)
	L = (1, 50)(2, 49)(3, 54)(4, 59)(5, 61)(6, 51)(7, 65)(8, 67)(9, 66)(10, 68)(11, 52)(12, 63)(13, 53)(14, 64)(15, 60)(16, 62)(17, 55)(18, 57)(19, 56)(20, 58)(21, 82)(22, 85)(23, 84)(24, 86)(25, 87)(26, 77)(27, 88)(28, 79)(29, 74)(30, 89)(31, 76)(32, 90)(33, 91)(34, 69)(35, 92)(36, 71)(37, 70)(38, 72)(39, 73)(40, 75)(41, 78)(42, 80)(43, 81)(44, 83)(45, 95)(46, 96)(47, 93)(48, 94)(97, 147)(98, 150)(99, 145)(100, 156)(101, 158)(102, 146)(103, 162)(104, 164)(105, 161)(106, 163)(107, 159)(108, 148)(109, 160)(110, 149)(111, 155)(112, 157)(113, 153)(114, 151)(115, 154)(116, 152)(117, 180)(118, 182)(119, 178)(120, 181)(121, 184)(122, 175)(123, 183)(124, 173)(125, 172)(126, 186)(127, 170)(128, 185)(129, 188)(130, 167)(131, 187)(132, 165)(133, 168)(134, 166)(135, 171)(136, 169)(137, 176)(138, 174)(139, 179)(140, 177)(141, 192)(142, 191)(143, 190)(144, 189)
	local type(s) :: { ( 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12 ) }
Outer automorphisms :: reflexible
Dual of E13.889
Transitivity :: VT+
Graph:: bipartite
	v = 16 e = 96 f = 56
	degree seq :: [ 12^16 ]

E13.892 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 3, 6})
Quotient :: loop^2
Aut^+ = C2 x C2 x A4 (small group id <48, 49>)
Aut   = (C2 x C2 x A4) : C2 (small group id <96, 195>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^3, (Y1 * Y2)^2, R * Y2 * R * Y1, (R * Y3)^2, Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y3^-1 * Y1, (Y3^-1 * Y1 * Y3 * Y1)^2, (Y3 * Y2 * Y3^-1 * Y2)^2, (Y3 * Y2 * Y3^-1 * Y1)^2 ]
Map::
	R = (1, 49, 97, 145, 4, 52, 100, 148, 5, 53, 101, 149)(2, 50, 98, 146, 7, 55, 103, 151, 8, 56, 104, 152)(3, 51, 99, 147, 9, 57, 105, 153, 10, 58, 106, 154)(6, 54, 102, 150, 15, 63, 111, 159, 16, 64, 112, 160)(11, 59, 107, 155, 26, 74, 122, 170, 27, 75, 123, 171)(12, 60, 108, 156, 28, 76, 124, 172, 29, 77, 125, 173)(13, 61, 109, 157, 31, 79, 127, 175, 32, 80, 128, 176)(14, 62, 110, 158, 33, 81, 129, 177, 34, 82, 130, 178)(17, 65, 113, 161, 24, 72, 120, 168, 38, 86, 134, 182)(18, 66, 114, 162, 30, 78, 126, 174, 39, 87, 135, 183)(19, 67, 115, 163, 40, 88, 136, 184, 41, 89, 137, 185)(20, 68, 116, 164, 42, 90, 138, 186, 21, 69, 117, 165)(22, 70, 118, 166, 43, 91, 139, 187, 44, 92, 140, 188)(23, 71, 119, 167, 46, 94, 142, 190, 25, 73, 121, 169)(35, 83, 131, 179, 45, 93, 141, 189, 47, 95, 143, 191)(36, 84, 132, 180, 48, 96, 144, 192, 37, 85, 133, 181)
	L = (1, 50)(2, 49)(3, 54)(4, 59)(5, 61)(6, 51)(7, 65)(8, 67)(9, 69)(10, 71)(11, 52)(12, 73)(13, 53)(14, 78)(15, 82)(16, 84)(17, 55)(18, 85)(19, 56)(20, 76)(21, 57)(22, 80)(23, 58)(24, 93)(25, 60)(26, 91)(27, 86)(28, 68)(29, 87)(30, 62)(31, 88)(32, 70)(33, 90)(34, 63)(35, 89)(36, 64)(37, 66)(38, 75)(39, 77)(40, 79)(41, 83)(42, 81)(43, 74)(44, 95)(45, 72)(46, 96)(47, 92)(48, 94)(97, 147)(98, 150)(99, 145)(100, 156)(101, 158)(102, 146)(103, 162)(104, 164)(105, 166)(106, 168)(107, 169)(108, 148)(109, 174)(110, 149)(111, 179)(112, 170)(113, 181)(114, 151)(115, 172)(116, 152)(117, 176)(118, 153)(119, 189)(120, 154)(121, 155)(122, 160)(123, 186)(124, 163)(125, 188)(126, 157)(127, 190)(128, 165)(129, 182)(130, 185)(131, 159)(132, 187)(133, 161)(134, 177)(135, 191)(136, 192)(137, 178)(138, 171)(139, 180)(140, 173)(141, 167)(142, 175)(143, 183)(144, 184)
	local type(s) :: { ( 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12 ) }
Outer automorphisms :: reflexible
Dual of E13.890
Transitivity :: VT+
Graph:: bipartite
	v = 16 e = 96 f = 56
	degree seq :: [ 12^16 ]

E13.893 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 3, 6})
Quotient :: loop^2
Aut^+ = C2 x S4 (small group id <48, 48>)
Aut   = (C2 x S4) : C2 (small group id <96, 187>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, R * Y2 * R * Y1, (R * Y3)^2, (Y1 * Y2)^2, Y2 * Y3^3 * Y1, (Y1 * Y3^-1 * Y2 * Y3^-1)^2, (Y3 * Y1 * Y3^-1 * Y1)^3 ]
Map::
	R = (1, 49, 97, 145, 4, 52, 100, 148, 13, 61, 109, 157, 6, 54, 102, 150, 16, 64, 112, 160, 5, 53, 101, 149)(2, 50, 98, 146, 7, 55, 103, 151, 10, 58, 106, 154, 3, 51, 99, 147, 9, 57, 105, 153, 8, 56, 104, 152)(11, 59, 107, 155, 21, 69, 117, 165, 24, 72, 120, 168, 12, 60, 108, 156, 23, 71, 119, 167, 22, 70, 118, 166)(14, 62, 110, 158, 25, 73, 121, 169, 28, 76, 124, 172, 15, 63, 111, 159, 27, 75, 123, 171, 26, 74, 122, 170)(17, 65, 113, 161, 29, 77, 125, 173, 32, 80, 128, 176, 18, 66, 114, 162, 31, 79, 127, 175, 30, 78, 126, 174)(19, 67, 115, 163, 33, 81, 129, 177, 36, 84, 132, 180, 20, 68, 116, 164, 35, 83, 131, 179, 34, 82, 130, 178)(37, 85, 133, 181, 45, 93, 141, 189, 39, 87, 135, 183, 38, 86, 134, 182, 46, 94, 142, 190, 40, 88, 136, 184)(41, 89, 137, 185, 47, 95, 143, 191, 43, 91, 139, 187, 42, 90, 138, 186, 48, 96, 144, 192, 44, 92, 140, 188)
	L = (1, 50)(2, 49)(3, 54)(4, 59)(5, 62)(6, 51)(7, 65)(8, 67)(9, 66)(10, 68)(11, 52)(12, 64)(13, 63)(14, 53)(15, 61)(16, 60)(17, 55)(18, 57)(19, 56)(20, 58)(21, 82)(22, 85)(23, 84)(24, 86)(25, 87)(26, 77)(27, 88)(28, 79)(29, 74)(30, 89)(31, 76)(32, 90)(33, 91)(34, 69)(35, 92)(36, 71)(37, 70)(38, 72)(39, 73)(40, 75)(41, 78)(42, 80)(43, 81)(44, 83)(45, 95)(46, 96)(47, 93)(48, 94)(97, 147)(98, 150)(99, 145)(100, 156)(101, 159)(102, 146)(103, 162)(104, 164)(105, 161)(106, 163)(107, 160)(108, 148)(109, 158)(110, 157)(111, 149)(112, 155)(113, 153)(114, 151)(115, 154)(116, 152)(117, 180)(118, 182)(119, 178)(120, 181)(121, 184)(122, 175)(123, 183)(124, 173)(125, 172)(126, 186)(127, 170)(128, 185)(129, 188)(130, 167)(131, 187)(132, 165)(133, 168)(134, 166)(135, 171)(136, 169)(137, 176)(138, 174)(139, 179)(140, 177)(141, 192)(142, 191)(143, 190)(144, 189)
	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 E13.887
Transitivity :: VT+
Graph:: bipartite
	v = 8 e = 96 f = 64
	degree seq :: [ 24^8 ]

E13.894 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 3, 6})
Quotient :: loop^2
Aut^+ = C2 x C2 x A4 (small group id <48, 49>)
Aut   = (C2 x C2 x A4) : C2 (small group id <96, 195>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, R * Y2 * R * Y1, (R * Y3)^2, (Y2 * Y1)^2, Y2 * Y3^-2 * Y1 * Y3^-1, Y3^6, (Y3 * Y2 * Y3^-1 * Y2)^2, (Y3 * Y1 * Y3^-1 * Y1)^2, (Y3 * Y2 * Y3^-1 * Y1)^2 ]
Map::
	R = (1, 49, 97, 145, 4, 52, 100, 148, 13, 61, 109, 157, 31, 79, 127, 175, 16, 64, 112, 160, 5, 53, 101, 149)(2, 50, 98, 146, 7, 55, 103, 151, 15, 63, 111, 159, 34, 82, 130, 178, 22, 70, 118, 166, 8, 56, 104, 152)(3, 51, 99, 147, 9, 57, 105, 153, 24, 72, 120, 168, 28, 76, 124, 172, 11, 59, 107, 155, 10, 58, 106, 154)(6, 54, 102, 150, 17, 65, 113, 161, 26, 74, 122, 170, 39, 87, 135, 183, 19, 67, 115, 163, 18, 66, 114, 162)(12, 60, 108, 156, 14, 62, 110, 158, 33, 81, 129, 177, 35, 83, 131, 179, 30, 78, 126, 174, 29, 77, 125, 173)(20, 68, 116, 164, 21, 69, 117, 165, 41, 89, 137, 185, 42, 90, 138, 186, 32, 80, 128, 176, 40, 88, 136, 184)(23, 71, 119, 167, 25, 73, 121, 169, 46, 94, 142, 190, 27, 75, 123, 171, 44, 92, 140, 188, 43, 91, 139, 187)(36, 84, 132, 180, 37, 85, 133, 181, 48, 96, 144, 192, 38, 86, 134, 182, 45, 93, 141, 189, 47, 95, 143, 191)
	L = (1, 50)(2, 49)(3, 54)(4, 59)(5, 62)(6, 51)(7, 67)(8, 69)(9, 64)(10, 73)(11, 52)(12, 75)(13, 78)(14, 53)(15, 80)(16, 57)(17, 70)(18, 85)(19, 55)(20, 86)(21, 56)(22, 65)(23, 83)(24, 92)(25, 58)(26, 93)(27, 60)(28, 87)(29, 88)(30, 61)(31, 82)(32, 63)(33, 89)(34, 79)(35, 71)(36, 90)(37, 66)(38, 68)(39, 76)(40, 77)(41, 81)(42, 84)(43, 95)(44, 72)(45, 74)(46, 96)(47, 91)(48, 94)(97, 147)(98, 150)(99, 145)(100, 156)(101, 159)(102, 146)(103, 164)(104, 157)(105, 167)(106, 170)(107, 171)(108, 148)(109, 152)(110, 176)(111, 149)(112, 179)(113, 180)(114, 168)(115, 182)(116, 151)(117, 174)(118, 186)(119, 153)(120, 162)(121, 189)(122, 154)(123, 155)(124, 175)(125, 187)(126, 165)(127, 172)(128, 158)(129, 190)(130, 183)(131, 160)(132, 161)(133, 188)(134, 163)(135, 178)(136, 191)(137, 192)(138, 166)(139, 173)(140, 181)(141, 169)(142, 177)(143, 184)(144, 185)
	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 E13.888
Transitivity :: VT+
Graph:: bipartite
	v = 8 e = 96 f = 64
	degree seq :: [ 24^8 ]

E13.895 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 6})
Quotient :: dipole
Aut^+ = C2 x C2 x A4 (small group id <48, 49>)
Aut   = C2 x C2 x S4 (small group id <96, 226>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^-1 * Y2 * Y3 * Y2, Y3^-3 * Y2, (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, (Y1 * Y2)^2, (Y3 * Y1 * Y3^-1 * Y1)^2, (Y3^-1 * Y1)^6 ]
Map:: polytopal 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, 26, 74)(21, 69, 27, 75)(22, 70, 34, 82)(25, 73, 39, 87)(28, 76, 40, 88)(29, 77, 41, 89)(30, 78, 36, 84)(31, 79, 37, 85)(32, 80, 42, 90)(35, 83, 44, 92)(38, 86, 45, 93)(43, 91, 46, 94)(47, 95, 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, 131, 179)(122, 170, 132, 180)(123, 171, 133, 181)(124, 172, 134, 182)(129, 177, 137, 185)(130, 178, 138, 186)(135, 183, 140, 188)(136, 184, 141, 189)(139, 187, 143, 191)(142, 190, 144, 192)
	L = (1, 100)(2, 103)(3, 105)(4, 106)(5, 97)(6, 109)(7, 110)(8, 98)(9, 101)(10, 99)(11, 115)(12, 117)(13, 104)(14, 102)(15, 121)(16, 123)(17, 125)(18, 127)(19, 126)(20, 107)(21, 128)(22, 108)(23, 131)(24, 133)(25, 132)(26, 111)(27, 134)(28, 112)(29, 116)(30, 113)(31, 118)(32, 114)(33, 139)(34, 137)(35, 122)(36, 119)(37, 124)(38, 120)(39, 142)(40, 140)(41, 143)(42, 129)(43, 130)(44, 144)(45, 135)(46, 136)(47, 138)(48, 141)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 6, 12, 6, 12 ) }
Outer automorphisms :: reflexible
Dual of E13.910
Graph:: simple bipartite
	v = 48 e = 96 f = 24
	degree seq :: [ 4^48 ]

E13.896 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 6})
Quotient :: dipole
Aut^+ = C2 x C2 x A4 (small group id <48, 49>)
Aut   = C2 x C2 x S4 (small group id <96, 226>)
|r| :: 2
Presentation :: [ Y1^2, Y3^2, R^2, Y2^3, Y3 * Y2 * Y3 * Y2^-1, (R * Y3)^2, (R * Y2)^2, (Y3 * Y1)^2, (R * Y1)^2, Y2 * Y1 * Y2 * Y3 * Y2^-1 * Y1 * Y2^-1 * Y3, (Y1 * Y2 * Y1 * Y2^-1)^2 ]
Map:: non-degenerate
	R = (1, 49, 2, 50)(3, 51, 9, 57)(4, 52, 7, 55)(5, 53, 12, 60)(6, 54, 13, 61)(8, 56, 16, 64)(10, 58, 18, 66)(11, 59, 20, 68)(14, 62, 24, 72)(15, 63, 26, 74)(17, 65, 29, 77)(19, 67, 25, 73)(21, 69, 27, 75)(22, 70, 34, 82)(23, 71, 35, 83)(28, 76, 40, 88)(30, 78, 42, 90)(31, 79, 37, 85)(32, 80, 38, 86)(33, 81, 43, 91)(36, 84, 45, 93)(39, 87, 46, 94)(41, 89, 44, 92)(47, 95, 48, 96)(97, 145, 99, 147, 101, 149)(98, 146, 102, 150, 104, 152)(100, 148, 106, 154, 107, 155)(103, 151, 110, 158, 111, 159)(105, 153, 113, 161, 115, 163)(108, 156, 117, 165, 118, 166)(109, 157, 119, 167, 121, 169)(112, 160, 123, 171, 124, 172)(114, 162, 126, 174, 127, 175)(116, 164, 128, 176, 129, 177)(120, 168, 132, 180, 133, 181)(122, 170, 134, 182, 135, 183)(125, 173, 137, 185, 130, 178)(131, 179, 140, 188, 136, 184)(138, 186, 143, 191, 139, 187)(141, 189, 144, 192, 142, 190)
	L = (1, 100)(2, 103)(3, 106)(4, 97)(5, 107)(6, 110)(7, 98)(8, 111)(9, 114)(10, 99)(11, 101)(12, 116)(13, 120)(14, 102)(15, 104)(16, 122)(17, 126)(18, 105)(19, 127)(20, 108)(21, 128)(22, 129)(23, 132)(24, 109)(25, 133)(26, 112)(27, 134)(28, 135)(29, 138)(30, 113)(31, 115)(32, 117)(33, 118)(34, 139)(35, 141)(36, 119)(37, 121)(38, 123)(39, 124)(40, 142)(41, 143)(42, 125)(43, 130)(44, 144)(45, 131)(46, 136)(47, 137)(48, 140)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 4, 12, 4, 12 ), ( 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E13.904
Graph:: simple bipartite
	v = 40 e = 96 f = 32
	degree seq :: [ 4^24, 6^16 ]

E13.897 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 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, Y3^2, R^2, Y2^3, Y3 * Y2 * Y3 * Y2^-1, (R * Y3)^2, (R * Y2)^2, (Y3 * Y1)^2, (R * Y1)^2, (Y1 * Y2^-1)^4, (Y2 * Y1 * Y2^-1 * Y1)^3 ]
Map:: non-degenerate
	R = (1, 49, 2, 50)(3, 51, 9, 57)(4, 52, 7, 55)(5, 53, 12, 60)(6, 54, 13, 61)(8, 56, 16, 64)(10, 58, 18, 66)(11, 59, 20, 68)(14, 62, 24, 72)(15, 63, 26, 74)(17, 65, 28, 76)(19, 67, 31, 79)(21, 69, 34, 82)(22, 70, 23, 71)(25, 73, 37, 85)(27, 75, 40, 88)(29, 77, 39, 87)(30, 78, 41, 89)(32, 80, 43, 91)(33, 81, 35, 83)(36, 84, 44, 92)(38, 86, 46, 94)(42, 90, 45, 93)(47, 95, 48, 96)(97, 145, 99, 147, 101, 149)(98, 146, 102, 150, 104, 152)(100, 148, 106, 154, 107, 155)(103, 151, 110, 158, 111, 159)(105, 153, 113, 161, 115, 163)(108, 156, 117, 165, 118, 166)(109, 157, 119, 167, 121, 169)(112, 160, 123, 171, 124, 172)(114, 162, 125, 173, 126, 174)(116, 164, 128, 176, 129, 177)(120, 168, 131, 179, 132, 180)(122, 170, 134, 182, 135, 183)(127, 175, 138, 186, 130, 178)(133, 181, 141, 189, 136, 184)(137, 185, 143, 191, 139, 187)(140, 188, 144, 192, 142, 190)
	L = (1, 100)(2, 103)(3, 106)(4, 97)(5, 107)(6, 110)(7, 98)(8, 111)(9, 114)(10, 99)(11, 101)(12, 116)(13, 120)(14, 102)(15, 104)(16, 122)(17, 125)(18, 105)(19, 126)(20, 108)(21, 128)(22, 129)(23, 131)(24, 109)(25, 132)(26, 112)(27, 134)(28, 135)(29, 113)(30, 115)(31, 137)(32, 117)(33, 118)(34, 139)(35, 119)(36, 121)(37, 140)(38, 123)(39, 124)(40, 142)(41, 127)(42, 143)(43, 130)(44, 133)(45, 144)(46, 136)(47, 138)(48, 141)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 4, 12, 4, 12 ), ( 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E13.906
Graph:: simple bipartite
	v = 40 e = 96 f = 32
	degree seq :: [ 4^24, 6^16 ]

E13.898 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 6})
Quotient :: dipole
Aut^+ = C2 x C2 x A4 (small group id <48, 49>)
Aut   = C2 x C2 x S4 (small group id <96, 226>)
|r| :: 2
Presentation :: [ Y1^2, Y3^2, R^2, Y2^3, (Y3 * Y1)^2, (R * Y1)^2, (R * Y3)^2, Y2 * Y1 * Y2^-1 * Y1, (R * Y2 * Y3)^2, (Y3 * Y2 * Y3 * Y2^-1)^2, (Y3 * Y2^-1)^6 ]
Map:: polytopal 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, 35, 83)(30, 78, 36, 84)(31, 79, 37, 85)(32, 80, 38, 86)(33, 81, 39, 87)(34, 82, 40, 88)(41, 89, 44, 92)(42, 90, 45, 93)(43, 91, 46, 94)(47, 95, 48, 96)(97, 145, 99, 147, 101, 149)(98, 146, 102, 150, 104, 152)(100, 148, 106, 154, 107, 155)(103, 151, 110, 158, 111, 159)(105, 153, 113, 161, 114, 162)(108, 156, 117, 165, 118, 166)(109, 157, 119, 167, 120, 168)(112, 160, 123, 171, 124, 172)(115, 163, 127, 175, 126, 174)(116, 164, 128, 176, 129, 177)(121, 169, 133, 181, 132, 180)(122, 170, 134, 182, 135, 183)(125, 173, 137, 185, 130, 178)(131, 179, 140, 188, 136, 184)(138, 186, 143, 191, 139, 187)(141, 189, 144, 192, 142, 190)
	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, 128)(22, 130)(23, 131)(24, 132)(25, 110)(26, 111)(27, 134)(28, 136)(29, 113)(30, 114)(31, 138)(32, 117)(33, 139)(34, 118)(35, 119)(36, 120)(37, 141)(38, 123)(39, 142)(40, 124)(41, 143)(42, 127)(43, 129)(44, 144)(45, 133)(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, 12, 4, 12 ), ( 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E13.905
Graph:: simple bipartite
	v = 40 e = 96 f = 32
	degree seq :: [ 4^24, 6^16 ]

E13.899 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 6})
Quotient :: dipole
Aut^+ = C2 x C2 x A4 (small group id <48, 49>)
Aut   = C2 x C2 x S4 (small group id <96, 226>)
|r| :: 2
Presentation :: [ Y1^2, Y3^2, R^2, Y2^3, (Y3 * Y1)^2, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3)^2, Y3 * Y2 * Y3 * Y1 * Y2^-1 * Y1, (R * Y2 * Y1)^2, (Y2 * Y3 * Y2^-1 * Y3)^2, (Y2 * Y3 * Y2^-1 * Y1)^2, (Y2^-1 * Y3 * Y2 * Y1)^2, Y1 * Y2^-1 * Y1 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 ]
Map:: polytopal non-degenerate
	R = (1, 49, 2, 50)(3, 51, 9, 57)(4, 52, 7, 55)(5, 53, 13, 61)(6, 54, 15, 63)(8, 56, 19, 67)(10, 58, 17, 65)(11, 59, 16, 64)(12, 60, 20, 68)(14, 62, 18, 66)(21, 69, 37, 85)(22, 70, 30, 78)(23, 71, 38, 86)(24, 72, 32, 80)(25, 73, 33, 81)(26, 74, 39, 87)(27, 75, 35, 83)(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, 101, 149)(98, 146, 102, 150, 104, 152)(100, 148, 107, 155, 108, 156)(103, 151, 113, 161, 114, 162)(105, 153, 117, 165, 118, 166)(106, 154, 119, 167, 120, 168)(109, 157, 121, 169, 122, 170)(110, 158, 123, 171, 124, 172)(111, 159, 125, 173, 126, 174)(112, 160, 127, 175, 128, 176)(115, 163, 129, 177, 130, 178)(116, 164, 131, 179, 132, 180)(133, 181, 141, 189, 135, 183)(134, 182, 142, 190, 136, 184)(137, 185, 143, 191, 139, 187)(138, 186, 144, 192, 140, 188)
	L = (1, 100)(2, 103)(3, 106)(4, 97)(5, 110)(6, 112)(7, 98)(8, 116)(9, 113)(10, 99)(11, 111)(12, 115)(13, 114)(14, 101)(15, 107)(16, 102)(17, 105)(18, 109)(19, 108)(20, 104)(21, 134)(22, 128)(23, 133)(24, 126)(25, 131)(26, 136)(27, 129)(28, 135)(29, 138)(30, 120)(31, 137)(32, 118)(33, 123)(34, 140)(35, 121)(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, 12, 4, 12 ), ( 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E13.903
Graph:: simple bipartite
	v = 40 e = 96 f = 32
	degree seq :: [ 4^24, 6^16 ]

E13.900 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 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, Y3^2, R^2, Y2^3, (Y3 * Y1)^2, (R * Y1)^2, (Y2^-1 * Y1)^2, (R * Y3)^2, (R * Y2 * Y3)^2, (Y3 * Y2 * Y3 * Y2^-1)^2, Y2 * Y3 * Y2 * Y3 * Y1 * Y2 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y1, (Y3 * Y2^-1)^6 ]
Map:: polytopal non-degenerate
	R = (1, 49, 2, 50)(3, 51, 8, 56)(4, 52, 7, 55)(5, 53, 6, 54)(9, 57, 16, 64)(10, 58, 15, 63)(11, 59, 14, 62)(12, 60, 13, 61)(17, 65, 28, 76)(18, 66, 27, 75)(19, 67, 26, 74)(20, 68, 25, 73)(21, 69, 24, 72)(22, 70, 23, 71)(29, 77, 40, 88)(30, 78, 38, 86)(31, 79, 39, 87)(32, 80, 36, 84)(33, 81, 37, 85)(34, 82, 35, 83)(41, 89, 44, 92)(42, 90, 46, 94)(43, 91, 45, 93)(47, 95, 48, 96)(97, 145, 99, 147, 101, 149)(98, 146, 102, 150, 104, 152)(100, 148, 106, 154, 107, 155)(103, 151, 110, 158, 111, 159)(105, 153, 113, 161, 114, 162)(108, 156, 117, 165, 118, 166)(109, 157, 119, 167, 120, 168)(112, 160, 123, 171, 124, 172)(115, 163, 127, 175, 126, 174)(116, 164, 128, 176, 129, 177)(121, 169, 133, 181, 132, 180)(122, 170, 134, 182, 135, 183)(125, 173, 137, 185, 130, 178)(131, 179, 140, 188, 136, 184)(138, 186, 143, 191, 139, 187)(141, 189, 144, 192, 142, 190)
	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, 128)(22, 130)(23, 131)(24, 132)(25, 110)(26, 111)(27, 134)(28, 136)(29, 113)(30, 114)(31, 138)(32, 117)(33, 139)(34, 118)(35, 119)(36, 120)(37, 141)(38, 123)(39, 142)(40, 124)(41, 143)(42, 127)(43, 129)(44, 144)(45, 133)(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, 12, 4, 12 ), ( 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E13.907
Graph:: simple bipartite
	v = 40 e = 96 f = 32
	degree seq :: [ 4^24, 6^16 ]

E13.901 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 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, Y3^2, R^2, Y2^3, (Y1 * Y3)^2, (R * Y3)^2, (R * Y1)^2, Y3 * Y2 * Y3 * Y1 * Y2 * Y1, (R * Y2 * Y3)^2, (Y2^-1 * Y1)^4, Y2 * Y3 * Y2 * Y3 * Y2 * Y1 * Y2^-1 * Y1 * Y2 * Y1 * Y2^-1 * Y1 ]
Map:: polytopal 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, 18, 66)(11, 59, 20, 68)(12, 60, 16, 64)(14, 62, 17, 65)(21, 69, 34, 82)(22, 70, 37, 85)(23, 71, 38, 86)(24, 72, 35, 83)(25, 73, 39, 87)(26, 74, 29, 77)(27, 75, 32, 80)(28, 76, 40, 88)(30, 78, 41, 89)(31, 79, 42, 90)(33, 81, 43, 91)(36, 84, 44, 92)(45, 93, 47, 95)(46, 94, 48, 96)(97, 145, 99, 147, 101, 149)(98, 146, 102, 150, 104, 152)(100, 148, 107, 155, 108, 156)(103, 151, 113, 161, 114, 162)(105, 153, 117, 165, 118, 166)(106, 154, 119, 167, 120, 168)(109, 157, 121, 169, 122, 170)(110, 158, 123, 171, 124, 172)(111, 159, 125, 173, 126, 174)(112, 160, 127, 175, 128, 176)(115, 163, 129, 177, 130, 178)(116, 164, 131, 179, 132, 180)(133, 181, 141, 189, 135, 183)(134, 182, 136, 184, 142, 190)(137, 185, 143, 191, 139, 187)(138, 186, 140, 188, 144, 192)
	L = (1, 100)(2, 103)(3, 106)(4, 97)(5, 110)(6, 112)(7, 98)(8, 116)(9, 114)(10, 99)(11, 115)(12, 111)(13, 113)(14, 101)(15, 108)(16, 102)(17, 109)(18, 105)(19, 107)(20, 104)(21, 131)(22, 134)(23, 133)(24, 130)(25, 136)(26, 128)(27, 125)(28, 135)(29, 123)(30, 138)(31, 137)(32, 122)(33, 140)(34, 120)(35, 117)(36, 139)(37, 119)(38, 118)(39, 124)(40, 121)(41, 127)(42, 126)(43, 132)(44, 129)(45, 144)(46, 143)(47, 142)(48, 141)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 4, 12, 4, 12 ), ( 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E13.908
Graph:: simple bipartite
	v = 40 e = 96 f = 32
	degree seq :: [ 4^24, 6^16 ]

E13.902 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 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, (Y3 * Y1)^2, (R * Y1)^2, (Y3 * Y2)^2, (R * Y3)^2, Y3^-1 * Y2^2 * Y3^-1 * Y2^-1, (Y2 * Y3^-1 * Y1)^2, (Y2^-1 * Y3^-1 * Y1)^2, Y3^6, (Y3^-1 * Y2 * Y3^-1)^2, (R * Y2 * Y3^-1)^2, Y3^-1 * Y2 * Y3 * Y1 * Y2^-1 * Y1 * Y2 ]
Map:: polytopal 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, 32, 80)(13, 61, 26, 74)(14, 62, 24, 72)(15, 63, 30, 78)(16, 64, 23, 71)(18, 66, 40, 88)(19, 67, 42, 90)(20, 68, 25, 73)(22, 70, 34, 82)(28, 76, 45, 93)(29, 77, 47, 95)(31, 79, 37, 85)(33, 81, 48, 96)(35, 83, 39, 87)(36, 84, 44, 92)(38, 86, 43, 91)(41, 89, 46, 94)(97, 145, 99, 147, 101, 149)(98, 146, 103, 151, 105, 153)(100, 148, 110, 158, 112, 160)(102, 150, 115, 163, 108, 156)(104, 152, 120, 168, 122, 170)(106, 154, 125, 173, 118, 166)(107, 155, 127, 175, 121, 169)(109, 157, 130, 178, 114, 162)(111, 159, 117, 165, 131, 179)(113, 161, 134, 182, 135, 183)(116, 164, 137, 185, 139, 187)(119, 167, 128, 176, 124, 172)(123, 171, 129, 177, 133, 181)(126, 174, 142, 190, 144, 192)(132, 180, 143, 191, 141, 189)(136, 184, 140, 188, 138, 186)
	L = (1, 100)(2, 104)(3, 108)(4, 111)(5, 114)(6, 97)(7, 118)(8, 121)(9, 124)(10, 98)(11, 122)(12, 129)(13, 99)(14, 101)(15, 132)(16, 133)(17, 120)(18, 137)(19, 139)(20, 102)(21, 112)(22, 134)(23, 103)(24, 105)(25, 140)(26, 135)(27, 110)(28, 142)(29, 144)(30, 106)(31, 119)(32, 107)(33, 143)(34, 117)(35, 109)(36, 116)(37, 115)(38, 138)(39, 125)(40, 113)(41, 141)(42, 127)(43, 130)(44, 126)(45, 123)(46, 136)(47, 131)(48, 128)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 4, 12, 4, 12 ), ( 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E13.909
Graph:: simple bipartite
	v = 40 e = 96 f = 32
	degree seq :: [ 4^24, 6^16 ]

E13.903 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 6})
Quotient :: dipole
Aut^+ = C2 x C2 x A4 (small group id <48, 49>)
Aut   = C2 x C2 x S4 (small group id <96, 226>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, (R * Y2)^2, (Y3 * Y2)^2, (R * Y3)^2, Y1^-1 * Y2 * Y1 * Y2, (R * Y1)^2, Y1^6, (Y3 * Y1^-1)^3, (Y3 * Y1^-3)^2, (Y3 * Y1 * Y3 * Y1^-1)^2 ]
Map:: polytopal non-degenerate
	R = (1, 49, 2, 50, 6, 54, 15, 63, 14, 62, 5, 53)(3, 51, 7, 55, 16, 64, 30, 78, 24, 72, 10, 58)(4, 52, 11, 59, 25, 73, 31, 79, 27, 75, 12, 60)(8, 56, 19, 67, 37, 85, 29, 77, 38, 86, 20, 68)(9, 57, 21, 69, 39, 87, 44, 92, 41, 89, 22, 70)(13, 61, 28, 76, 34, 82, 17, 65, 33, 81, 26, 74)(18, 66, 35, 83, 47, 95, 43, 91, 48, 96, 36, 84)(23, 71, 42, 90, 46, 94, 32, 80, 45, 93, 40, 88)(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, 126, 174)(113, 161, 128, 176)(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)(127, 175, 140, 188)(129, 177, 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, 122)(12, 115)(13, 101)(14, 125)(15, 127)(16, 128)(17, 102)(18, 103)(19, 108)(20, 129)(21, 136)(22, 131)(23, 106)(24, 139)(25, 134)(26, 107)(27, 130)(28, 133)(29, 110)(30, 140)(31, 111)(32, 112)(33, 116)(34, 123)(35, 118)(36, 141)(37, 124)(38, 121)(39, 144)(40, 117)(41, 142)(42, 143)(43, 120)(44, 126)(45, 132)(46, 137)(47, 138)(48, 135)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 4, 6, 4, 6 ), ( 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible
Dual of E13.899
Graph:: simple bipartite
	v = 32 e = 96 f = 40
	degree seq :: [ 4^24, 12^8 ]

E13.904 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 6})
Quotient :: dipole
Aut^+ = C2 x C2 x A4 (small group id <48, 49>)
Aut   = C2 x C2 x S4 (small group id <96, 226>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, Y1^-3 * Y3, (R * Y2)^2, (R * Y1)^2, (R * Y3)^2, Y3 * Y1 * Y3 * Y1^-1, (Y3 * Y2)^2, (Y2 * Y1 * Y2 * Y1^-1)^2, (Y2 * Y1^-1)^6 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 6, 54, 4, 52, 8, 56, 5, 53)(3, 51, 9, 57, 17, 65, 10, 58, 19, 67, 11, 59)(7, 55, 14, 62, 25, 73, 15, 63, 27, 75, 16, 64)(12, 60, 21, 69, 24, 72, 13, 61, 23, 71, 22, 70)(18, 66, 30, 78, 37, 85, 31, 79, 40, 88, 28, 76)(20, 68, 32, 80, 41, 89, 29, 77, 35, 83, 33, 81)(26, 74, 38, 86, 34, 82, 39, 87, 44, 92, 36, 84)(42, 90, 45, 93, 43, 91, 46, 94, 48, 96, 47, 95)(97, 145, 99, 147)(98, 146, 103, 151)(100, 148, 106, 154)(101, 149, 108, 156)(102, 150, 109, 157)(104, 152, 111, 159)(105, 153, 114, 162)(107, 155, 116, 164)(110, 158, 122, 170)(112, 160, 124, 172)(113, 161, 125, 173)(115, 163, 127, 175)(117, 165, 128, 176)(118, 166, 130, 178)(119, 167, 131, 179)(120, 168, 132, 180)(121, 169, 133, 181)(123, 171, 135, 183)(126, 174, 138, 186)(129, 177, 139, 187)(134, 182, 141, 189)(136, 184, 142, 190)(137, 185, 143, 191)(140, 188, 144, 192)
	L = (1, 100)(2, 104)(3, 106)(4, 97)(5, 102)(6, 101)(7, 111)(8, 98)(9, 115)(10, 99)(11, 113)(12, 109)(13, 108)(14, 123)(15, 103)(16, 121)(17, 107)(18, 127)(19, 105)(20, 125)(21, 119)(22, 120)(23, 117)(24, 118)(25, 112)(26, 135)(27, 110)(28, 133)(29, 116)(30, 136)(31, 114)(32, 131)(33, 137)(34, 132)(35, 128)(36, 130)(37, 124)(38, 140)(39, 122)(40, 126)(41, 129)(42, 142)(43, 143)(44, 134)(45, 144)(46, 138)(47, 139)(48, 141)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 4, 6, 4, 6 ), ( 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible
Dual of E13.896
Graph:: bipartite
	v = 32 e = 96 f = 40
	degree seq :: [ 4^24, 12^8 ]

E13.905 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 6})
Quotient :: dipole
Aut^+ = C2 x C2 x A4 (small group id <48, 49>)
Aut   = C2 x C2 x S4 (small group id <96, 226>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, (Y2 * Y3)^2, (R * Y2)^2, (R * Y1)^2, (R * Y3)^2, Y3 * Y2 * Y1 * Y2 * Y3 * Y1^-1, Y2 * Y1^-1 * Y2 * Y1^-1 * Y3 * Y1^-1, Y1^6, (Y2 * Y1^-3)^2, (Y2 * Y1 * Y3 * Y1^-1)^2, (Y3 * Y1^-3)^2, (Y2 * Y1 * Y2 * Y1^-1)^2 ]
Map:: polytopal non-degenerate
	R = (1, 49, 2, 50, 6, 54, 17, 65, 16, 64, 5, 53)(3, 51, 9, 57, 25, 73, 36, 84, 29, 77, 11, 59)(4, 52, 12, 60, 30, 78, 37, 85, 31, 79, 13, 61)(7, 55, 20, 68, 43, 91, 34, 82, 44, 92, 22, 70)(8, 56, 23, 71, 45, 93, 35, 83, 46, 94, 24, 72)(10, 58, 21, 69, 39, 87, 48, 96, 47, 95, 28, 76)(14, 62, 32, 80, 40, 88, 18, 66, 38, 86, 27, 75)(15, 63, 33, 81, 42, 90, 19, 67, 41, 89, 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, 119, 167)(108, 156, 123, 171)(109, 157, 116, 164)(111, 159, 124, 172)(112, 160, 130, 178)(113, 161, 132, 180)(115, 163, 135, 183)(118, 166, 137, 185)(120, 168, 134, 182)(121, 169, 142, 190)(125, 173, 138, 186)(126, 174, 140, 188)(127, 175, 136, 184)(128, 176, 141, 189)(129, 177, 139, 187)(131, 179, 143, 191)(133, 181, 144, 192)
	L = (1, 100)(2, 104)(3, 106)(4, 97)(5, 111)(6, 115)(7, 117)(8, 98)(9, 123)(10, 99)(11, 116)(12, 122)(13, 119)(14, 124)(15, 101)(16, 131)(17, 133)(18, 135)(19, 102)(20, 107)(21, 103)(22, 134)(23, 109)(24, 137)(25, 140)(26, 108)(27, 105)(28, 110)(29, 136)(30, 142)(31, 138)(32, 139)(33, 141)(34, 143)(35, 112)(36, 144)(37, 113)(38, 118)(39, 114)(40, 125)(41, 120)(42, 127)(43, 128)(44, 121)(45, 129)(46, 126)(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) :: { ( 4, 6, 4, 6 ), ( 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible
Dual of E13.898
Graph:: simple bipartite
	v = 32 e = 96 f = 40
	degree seq :: [ 4^24, 12^8 ]

E13.906 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 6})
Quotient :: dipole
Aut^+ = C2 x S4 (small group id <48, 48>)
Aut   = C2 x C2 x S4 (small group id <96, 226>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, Y1^-3 * Y3, Y1 * Y3 * Y1^-1 * Y3, (R * Y2)^2, (Y3 * Y2)^2, (R * Y1)^2, (R * Y3)^2, (Y2 * Y1^-1)^4, (Y2 * Y1 * Y2 * Y1^-1)^3 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 6, 54, 4, 52, 8, 56, 5, 53)(3, 51, 9, 57, 17, 65, 10, 58, 19, 67, 11, 59)(7, 55, 14, 62, 25, 73, 15, 63, 27, 75, 16, 64)(12, 60, 21, 69, 24, 72, 13, 61, 23, 71, 22, 70)(18, 66, 30, 78, 41, 89, 31, 79, 36, 84, 32, 80)(20, 68, 33, 81, 38, 86, 29, 77, 39, 87, 26, 74)(28, 76, 40, 88, 34, 82, 37, 85, 44, 92, 35, 83)(42, 90, 46, 94, 43, 91, 47, 95, 48, 96, 45, 93)(97, 145, 99, 147)(98, 146, 103, 151)(100, 148, 106, 154)(101, 149, 108, 156)(102, 150, 109, 157)(104, 152, 111, 159)(105, 153, 114, 162)(107, 155, 116, 164)(110, 158, 122, 170)(112, 160, 124, 172)(113, 161, 125, 173)(115, 163, 127, 175)(117, 165, 130, 178)(118, 166, 126, 174)(119, 167, 131, 179)(120, 168, 132, 180)(121, 169, 133, 181)(123, 171, 134, 182)(128, 176, 138, 186)(129, 177, 139, 187)(135, 183, 141, 189)(136, 184, 142, 190)(137, 185, 143, 191)(140, 188, 144, 192)
	L = (1, 100)(2, 104)(3, 106)(4, 97)(5, 102)(6, 101)(7, 111)(8, 98)(9, 115)(10, 99)(11, 113)(12, 109)(13, 108)(14, 123)(15, 103)(16, 121)(17, 107)(18, 127)(19, 105)(20, 125)(21, 119)(22, 120)(23, 117)(24, 118)(25, 112)(26, 134)(27, 110)(28, 133)(29, 116)(30, 132)(31, 114)(32, 137)(33, 135)(34, 131)(35, 130)(36, 126)(37, 124)(38, 122)(39, 129)(40, 140)(41, 128)(42, 143)(43, 141)(44, 136)(45, 139)(46, 144)(47, 138)(48, 142)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 4, 6, 4, 6 ), ( 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible
Dual of E13.897
Graph:: bipartite
	v = 32 e = 96 f = 40
	degree seq :: [ 4^24, 12^8 ]

E13.907 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 6})
Quotient :: dipole
Aut^+ = C2 x S4 (small group id <48, 48>)
Aut   = C2 x C2 x S4 (small group id <96, 226>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, (R * Y2)^2, (Y3 * Y2)^2, (R * Y1)^2, (Y1 * Y2)^2, (R * Y3)^2, (Y3 * Y1^-1)^3, Y1^6, (Y3 * Y1 * Y3 * Y1^-1)^2, (Y3 * Y1^-3)^2 ]
Map:: polytopal non-degenerate
	R = (1, 49, 2, 50, 6, 54, 15, 63, 14, 62, 5, 53)(3, 51, 9, 57, 21, 69, 30, 78, 16, 64, 7, 55)(4, 52, 11, 59, 25, 73, 31, 79, 27, 75, 12, 60)(8, 56, 19, 67, 37, 85, 29, 77, 38, 86, 20, 68)(10, 58, 23, 71, 42, 90, 44, 92, 43, 91, 24, 72)(13, 61, 28, 76, 34, 82, 17, 65, 33, 81, 26, 74)(18, 66, 35, 83, 47, 95, 39, 87, 48, 96, 36, 84)(22, 70, 40, 88, 46, 94, 32, 80, 45, 93, 41, 89)(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, 126, 174)(113, 161, 128, 176)(115, 163, 132, 180)(116, 164, 131, 179)(121, 169, 139, 187)(122, 170, 136, 184)(123, 171, 138, 186)(124, 172, 137, 185)(125, 173, 135, 183)(127, 175, 140, 188)(129, 177, 142, 190)(130, 178, 141, 189)(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, 122)(12, 115)(13, 101)(14, 125)(15, 127)(16, 128)(17, 102)(18, 103)(19, 108)(20, 129)(21, 135)(22, 105)(23, 132)(24, 136)(25, 134)(26, 107)(27, 130)(28, 133)(29, 110)(30, 140)(31, 111)(32, 112)(33, 116)(34, 123)(35, 142)(36, 119)(37, 124)(38, 121)(39, 117)(40, 120)(41, 144)(42, 141)(43, 143)(44, 126)(45, 138)(46, 131)(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, 6, 4, 6 ), ( 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible
Dual of E13.900
Graph:: simple bipartite
	v = 32 e = 96 f = 40
	degree seq :: [ 4^24, 12^8 ]

E13.908 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 6})
Quotient :: dipole
Aut^+ = C2 x S4 (small group id <48, 48>)
Aut   = C2 x C2 x S4 (small group id <96, 226>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, (R * Y2)^2, (Y3 * Y2)^2, (R * Y3)^2, (R * Y1)^2, Y2 * Y1 * Y2 * Y3 * Y1 * Y3, Y1^-1 * Y3 * Y1^-1 * Y2 * Y1 * Y2, (Y3 * Y1^-1)^3, Y1^6, Y3 * Y1 * Y3 * Y1^-2 * Y3 * Y1^-2, (Y2 * Y1^-3)^2 ]
Map:: polytopal non-degenerate
	R = (1, 49, 2, 50, 6, 54, 17, 65, 16, 64, 5, 53)(3, 51, 9, 57, 25, 73, 36, 84, 29, 77, 11, 59)(4, 52, 12, 60, 30, 78, 37, 85, 31, 79, 13, 61)(7, 55, 20, 68, 43, 91, 34, 82, 44, 92, 22, 70)(8, 56, 23, 71, 45, 93, 35, 83, 46, 94, 24, 72)(10, 58, 26, 74, 47, 95, 48, 96, 39, 87, 21, 69)(14, 62, 28, 76, 40, 88, 18, 66, 38, 86, 32, 80)(15, 63, 33, 81, 42, 90, 19, 67, 41, 89, 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, 119, 167)(107, 155, 123, 171)(108, 156, 124, 172)(109, 157, 118, 166)(111, 159, 122, 170)(112, 160, 130, 178)(113, 161, 132, 180)(115, 163, 135, 183)(116, 164, 137, 185)(120, 168, 136, 184)(121, 169, 138, 186)(125, 173, 142, 190)(126, 174, 139, 187)(127, 175, 134, 182)(128, 176, 141, 189)(129, 177, 140, 188)(131, 179, 143, 191)(133, 181, 144, 192)
	L = (1, 100)(2, 104)(3, 106)(4, 97)(5, 111)(6, 115)(7, 117)(8, 98)(9, 118)(10, 99)(11, 124)(12, 123)(13, 119)(14, 122)(15, 101)(16, 131)(17, 133)(18, 135)(19, 102)(20, 136)(21, 103)(22, 105)(23, 109)(24, 137)(25, 134)(26, 110)(27, 108)(28, 107)(29, 139)(30, 142)(31, 138)(32, 140)(33, 141)(34, 143)(35, 112)(36, 144)(37, 113)(38, 121)(39, 114)(40, 116)(41, 120)(42, 127)(43, 125)(44, 128)(45, 129)(46, 126)(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) :: { ( 4, 6, 4, 6 ), ( 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible
Dual of E13.901
Graph:: simple bipartite
	v = 32 e = 96 f = 40
	degree seq :: [ 4^24, 12^8 ]

E13.909 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 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, (R * Y1)^2, (Y3 * Y2)^2, (Y3 * Y1^-1)^2, (R * Y3)^2, (Y1^-1 * R * Y2)^2, (R * Y2 * Y3^-1)^2, Y2 * Y1 * Y2 * Y1^2 * Y3^-1, Y3^2 * Y2 * Y1 * Y2 * Y1^-1, Y3^-3 * Y1^3, (Y1^-1 * Y3^-1 * Y1^-1)^2, (Y3^-1 * Y1^-1)^3, Y1^6 ]
Map:: polytopal non-degenerate
	R = (1, 49, 2, 50, 7, 55, 23, 71, 19, 67, 5, 53)(3, 51, 11, 59, 35, 83, 42, 90, 40, 88, 13, 61)(4, 52, 15, 63, 32, 80, 22, 70, 33, 81, 10, 58)(6, 54, 18, 66, 41, 89, 16, 64, 25, 73, 21, 69)(8, 56, 27, 75, 12, 60, 37, 85, 48, 96, 29, 77)(9, 57, 31, 79, 20, 68, 34, 82, 46, 94, 26, 74)(14, 62, 39, 87, 47, 95, 38, 86, 45, 93, 30, 78)(17, 65, 36, 84, 44, 92, 24, 72, 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, 129, 177)(109, 157, 122, 170)(111, 159, 136, 184)(112, 160, 125, 173)(114, 162, 135, 183)(115, 163, 133, 181)(116, 164, 131, 179)(117, 165, 132, 180)(118, 166, 134, 182)(119, 167, 138, 186)(121, 169, 141, 189)(123, 171, 142, 190)(127, 175, 144, 192)(128, 176, 140, 188)(130, 178, 143, 191)(137, 185, 139, 187)
	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, 135)(14, 99)(15, 127)(16, 119)(17, 131)(18, 122)(19, 130)(20, 101)(21, 129)(22, 102)(23, 118)(24, 109)(25, 116)(26, 103)(27, 107)(28, 143)(29, 110)(30, 104)(31, 117)(32, 115)(33, 142)(34, 106)(35, 141)(36, 144)(37, 140)(38, 138)(39, 113)(40, 139)(41, 111)(42, 125)(43, 123)(44, 126)(45, 120)(46, 137)(47, 133)(48, 136)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 4, 6, 4, 6 ), ( 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible
Dual of E13.902
Graph:: simple bipartite
	v = 32 e = 96 f = 40
	degree seq :: [ 4^24, 12^8 ]

E13.910 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 6})
Quotient :: dipole
Aut^+ = C2 x C2 x A4 (small group id <48, 49>)
Aut   = C2 x C2 x S4 (small group id <96, 226>)
|r| :: 2
Presentation :: [ R^2, Y1^3, Y3^2 * Y2^-2, (Y3, Y2^-1), (Y1 * Y2)^2, (R * Y2)^2, (R * Y3)^2, (Y3^-1 * Y1^-1)^2, (R * Y1)^2, (Y3^2 * Y1^-1)^2, Y3^6, (Y3 * Y2 * Y1^-1)^2 ]
Map:: polytopal non-degenerate
	R = (1, 49, 2, 50, 5, 53)(3, 51, 12, 60, 15, 63)(4, 52, 17, 65, 18, 66)(6, 54, 21, 69, 8, 56)(7, 55, 24, 72, 9, 57)(10, 58, 28, 76, 19, 67)(11, 59, 31, 79, 20, 68)(13, 61, 35, 83, 29, 77)(14, 62, 38, 86, 30, 78)(16, 64, 27, 75, 32, 80)(22, 70, 41, 89, 43, 91)(23, 71, 42, 90, 44, 92)(25, 73, 39, 87, 33, 81)(26, 74, 40, 88, 34, 82)(36, 84, 45, 93, 47, 95)(37, 85, 46, 94, 48, 96)(97, 145, 99, 147, 109, 157, 132, 180, 118, 166, 102, 150)(98, 146, 104, 152, 121, 169, 141, 189, 125, 173, 106, 154)(100, 148, 110, 158, 133, 181, 119, 167, 103, 151, 112, 160)(101, 149, 115, 163, 137, 185, 143, 191, 129, 177, 108, 156)(105, 153, 122, 170, 142, 190, 126, 174, 107, 155, 123, 171)(111, 159, 135, 183, 117, 165, 139, 187, 124, 172, 131, 179)(113, 161, 128, 176, 116, 164, 138, 186, 144, 192, 130, 178)(114, 162, 136, 184, 120, 168, 140, 188, 127, 175, 134, 182)
	L = (1, 100)(2, 105)(3, 110)(4, 109)(5, 116)(6, 112)(7, 97)(8, 122)(9, 121)(10, 123)(11, 98)(12, 128)(13, 133)(14, 132)(15, 136)(16, 99)(17, 101)(18, 135)(19, 138)(20, 137)(21, 140)(22, 103)(23, 102)(24, 139)(25, 142)(26, 141)(27, 104)(28, 134)(29, 107)(30, 106)(31, 131)(32, 115)(33, 113)(34, 108)(35, 114)(36, 119)(37, 118)(38, 111)(39, 120)(40, 117)(41, 144)(42, 143)(43, 127)(44, 124)(45, 126)(46, 125)(47, 130)(48, 129)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 4^6 ), ( 4^12 ) }
Outer automorphisms :: reflexible
Dual of E13.895
Graph:: simple bipartite
	v = 24 e = 96 f = 48
	degree seq :: [ 6^16, 12^8 ]

E13.911 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {6, 6, 6})
Quotient :: edge
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 :: [ F^2, (F * T1)^2, (F * T2)^2, T1^-1 * T2 * T1^-1 * T2^-2, T2^6, T1^6, T1^2 * T2 * T1^2 * T2^-2, T1^2 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 ]
Map:: non-degenerate
	R = (1, 3, 10, 27, 17, 5)(2, 7, 11, 29, 24, 8)(4, 12, 32, 38, 15, 14)(6, 19, 22, 45, 39, 20)(9, 26, 28, 41, 40, 16)(13, 33, 25, 47, 35, 34)(18, 42, 44, 48, 46, 43)(21, 37, 30, 36, 31, 23)(49, 50, 54, 66, 61, 52)(51, 57, 73, 90, 78, 59)(53, 63, 85, 91, 87, 64)(55, 69, 80, 81, 88, 70)(56, 65, 89, 82, 94, 71)(58, 60, 79, 92, 67, 76)(62, 83, 74, 68, 72, 84)(75, 77, 93, 96, 95, 86)
	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) :: { ( 12^6 ) }
Outer automorphisms :: reflexible
Dual of E13.912
Transitivity :: ET+
Graph:: simple bipartite
	v = 16 e = 48 f = 8
	degree seq :: [ 6^16 ]

E13.912 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {6, 6, 6})
Quotient :: loop
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 :: [ F^2, (F * T1)^2, (F * T2)^2, T2^3 * T1^3, T1^6, T1 * T2^-1 * T1^-1 * T2^-1 * T1 * T2, T2 * T1^-3 * T2^2, (T2 * T1^-1)^4 ]
Map:: non-degenerate
	R = (1, 49, 3, 51, 10, 58, 18, 66, 17, 65, 5, 53)(2, 50, 7, 55, 22, 70, 13, 61, 26, 74, 8, 56)(4, 52, 12, 60, 20, 68, 6, 54, 19, 67, 14, 62)(9, 57, 21, 69, 37, 85, 32, 80, 45, 93, 28, 76)(11, 59, 31, 79, 39, 87, 27, 75, 47, 95, 33, 81)(15, 63, 23, 71, 44, 92, 29, 77, 41, 89, 36, 84)(16, 64, 25, 73, 40, 88, 30, 78, 43, 91, 35, 83)(24, 72, 38, 86, 48, 96, 42, 90, 34, 82, 46, 94)
	L = (1, 50)(2, 54)(3, 57)(4, 49)(5, 63)(6, 66)(7, 69)(8, 72)(9, 75)(10, 77)(11, 51)(12, 76)(13, 52)(14, 81)(15, 78)(16, 53)(17, 80)(18, 61)(19, 85)(20, 87)(21, 89)(22, 90)(23, 55)(24, 91)(25, 56)(26, 93)(27, 65)(28, 86)(29, 64)(30, 58)(31, 92)(32, 59)(33, 88)(34, 60)(35, 62)(36, 94)(37, 82)(38, 67)(39, 83)(40, 68)(41, 74)(42, 73)(43, 70)(44, 96)(45, 71)(46, 79)(47, 84)(48, 95)
	local type(s) :: { ( 6^12 ) }
Outer automorphisms :: reflexible
Dual of E13.911
Transitivity :: ET+ VT+ AT
Graph::
	v = 8 e = 48 f = 16
	degree seq :: [ 12^8 ]

E13.913 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {6, 6, 6})
Quotient :: dipole
Aut^+ = C2 x SL(2,3) (small group id <48, 32>)
Aut   = C2 x GL(2,3) (small group id <96, 189>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1^-1, (R * Y3)^2, (R * Y1)^2, Y1 * Y2 * R * Y2^-1 * R, Y1^2 * Y2 * Y1^-1 * Y2, Y1 * Y2 * Y3 * Y2 * Y3^-1, Y1^6, Y2^6, Y1 * Y2 * Y1 * Y2 * Y3^-1 * Y2^-2, Y1 * Y2 * Y1 * Y2^-2 * Y3^-1 * Y2, Y1 * Y2^2 * Y3 * Y1^-1 * Y2^2, Y1 * Y2^-2 * Y3 * Y2^-2 * Y3^-1, (Y3 * Y2^-1)^6 ]
Map::
	R = (1, 49, 2, 50, 6, 54, 18, 66, 13, 61, 4, 52)(3, 51, 9, 57, 8, 56, 22, 70, 29, 77, 11, 59)(5, 53, 15, 63, 36, 84, 32, 80, 12, 60, 16, 64)(7, 55, 20, 68, 19, 67, 33, 81, 34, 82, 14, 62)(10, 58, 26, 74, 25, 73, 44, 92, 35, 83, 28, 76)(17, 65, 40, 88, 21, 69, 42, 90, 38, 86, 41, 89)(23, 71, 39, 87, 37, 85, 30, 78, 24, 72, 31, 79)(27, 75, 43, 91, 45, 93, 48, 96, 47, 95, 46, 94)(97, 145, 99, 147, 106, 154, 123, 171, 113, 161, 101, 149)(98, 146, 103, 151, 117, 165, 139, 187, 119, 167, 104, 152)(100, 148, 108, 156, 127, 175, 142, 190, 131, 179, 110, 158)(102, 150, 111, 159, 133, 181, 141, 189, 122, 170, 115, 163)(105, 153, 120, 168, 132, 180, 136, 184, 130, 178, 121, 169)(107, 155, 109, 157, 129, 177, 137, 185, 143, 191, 126, 174)(112, 160, 134, 182, 116, 164, 124, 172, 125, 173, 135, 183)(114, 162, 118, 166, 140, 188, 144, 192, 138, 186, 128, 176)
	L = (1, 100)(2, 97)(3, 107)(4, 109)(5, 112)(6, 98)(7, 110)(8, 105)(9, 99)(10, 124)(11, 125)(12, 128)(13, 114)(14, 130)(15, 101)(16, 108)(17, 137)(18, 102)(19, 116)(20, 103)(21, 136)(22, 104)(23, 127)(24, 126)(25, 122)(26, 106)(27, 142)(28, 131)(29, 118)(30, 133)(31, 120)(32, 132)(33, 115)(34, 129)(35, 140)(36, 111)(37, 135)(38, 138)(39, 119)(40, 113)(41, 134)(42, 117)(43, 123)(44, 121)(45, 139)(46, 143)(47, 144)(48, 141)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12 ) }
Outer automorphisms :: reflexible
Dual of E13.914
Graph:: bipartite
	v = 16 e = 96 f = 56
	degree seq :: [ 12^16 ]

E13.914 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {6, 6, 6})
Quotient :: dipole
Aut^+ = C2 x SL(2,3) (small group id <48, 32>)
Aut   = C2 x GL(2,3) (small group id <96, 189>)
|r| :: 2
Presentation :: [ Y1, R^2, (R * Y3)^2, (R * Y1)^2, Y3^-3 * Y2^3, (R * Y2 * Y3^-1)^2, R * Y2^-1 * R * Y2 * Y3 * Y2^-1, Y2^-2 * Y3^-3 * Y2^-1, Y3 * Y2 * Y3^-1 * Y2 * Y3 * Y2^-1, Y3^-2 * Y2^-1 * Y3^-1 * Y2^-2 * Y3^-1 * Y2^-1, Y3^-1 * Y2^-1 * Y3^-1 * Y2^-1 * Y3 * Y2 * Y3 * Y2, (Y3^-1 * Y1^-1)^6 ]
Map::
	R = (1, 49)(2, 50)(3, 51)(4, 52)(5, 53)(6, 54)(7, 55)(8, 56)(9, 57)(10, 58)(11, 59)(12, 60)(13, 61)(14, 62)(15, 63)(16, 64)(17, 65)(18, 66)(19, 67)(20, 68)(21, 69)(22, 70)(23, 71)(24, 72)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)(97, 145, 98, 146, 102, 150, 114, 162, 109, 157, 100, 148)(99, 147, 105, 153, 123, 171, 113, 161, 128, 176, 107, 155)(101, 149, 111, 159, 126, 174, 106, 154, 125, 173, 112, 160)(103, 151, 117, 165, 137, 185, 122, 170, 141, 189, 119, 167)(104, 152, 120, 168, 140, 188, 118, 166, 139, 187, 121, 169)(108, 156, 129, 177, 134, 182, 115, 163, 133, 181, 127, 175)(110, 158, 130, 178, 136, 184, 116, 164, 135, 183, 131, 179)(124, 172, 138, 186, 132, 180, 142, 190, 144, 192, 143, 191)
	L = (1, 99)(2, 103)(3, 106)(4, 108)(5, 97)(6, 115)(7, 118)(8, 98)(9, 124)(10, 114)(11, 127)(12, 116)(13, 122)(14, 100)(15, 130)(16, 129)(17, 101)(18, 113)(19, 110)(20, 102)(21, 138)(22, 109)(23, 107)(24, 111)(25, 105)(26, 104)(27, 134)(28, 140)(29, 135)(30, 133)(31, 137)(32, 142)(33, 143)(34, 139)(35, 141)(36, 112)(37, 132)(38, 119)(39, 120)(40, 117)(41, 123)(42, 131)(43, 125)(44, 128)(45, 144)(46, 121)(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) :: { ( 12, 12 ), ( 12^12 ) }
Outer automorphisms :: reflexible
Dual of E13.913
Graph:: simple bipartite
	v = 56 e = 96 f = 16
	degree seq :: [ 2^48, 12^8 ]

E13.915 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {4, 6, 12})
Quotient :: edge
Aut^+ = C3 x ((C4 x C2) : C2) (small group id <48, 21>)
Aut   = (C2 x C2 x C2 x S3) : C2 (small group id <96, 89>)
|r| :: 2
Presentation :: [ F^2, T1^4, (F * T2)^2, (F * T1)^2, T1^4, T1 * T2^-1 * T1^2 * T2 * T1, T2^2 * T1 * T2^-2 * T1^-1, T2^6, (T2^-1, T1^-1)^2, T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 ]
Map:: non-degenerate
	R = (1, 3, 10, 27, 16, 5)(2, 7, 20, 38, 24, 8)(4, 12, 28, 45, 31, 13)(6, 17, 34, 46, 35, 18)(9, 25, 43, 32, 14, 26)(11, 29, 44, 33, 15, 30)(19, 36, 47, 41, 22, 37)(21, 39, 48, 42, 23, 40)(49, 50, 54, 52)(51, 57, 65, 59)(53, 62, 66, 63)(55, 67, 60, 69)(56, 70, 61, 71)(58, 68, 82, 76)(64, 72, 83, 79)(73, 84, 77, 87)(74, 85, 78, 88)(75, 91, 94, 92)(80, 89, 81, 90)(86, 95, 93, 96)
	L = (1, 49)(2, 50)(3, 51)(4, 52)(5, 53)(6, 54)(7, 55)(8, 56)(9, 57)(10, 58)(11, 59)(12, 60)(13, 61)(14, 62)(15, 63)(16, 64)(17, 65)(18, 66)(19, 67)(20, 68)(21, 69)(22, 70)(23, 71)(24, 72)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 24^4 ), ( 24^6 ) }
Outer automorphisms :: reflexible
Dual of E13.919
Transitivity :: ET+
Graph:: simple bipartite
	v = 20 e = 48 f = 4
	degree seq :: [ 4^12, 6^8 ]

E13.916 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {4, 6, 12})
Quotient :: edge
Aut^+ = C3 x ((C4 x C2) : C2) (small group id <48, 21>)
Aut   = (C2 x C2 x C2 x S3) : C2 (small group id <96, 89>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, T2^4 * T1^-2, T1^-1 * T2^-1 * T1^2 * T2 * T1^-1, T1^6, (T2^2 * T1^-1)^2, T2^-1 * T1 * T2^-1 * T1^-1 * T2 * T1 * T2 * T1^-1, (T2^-1 * T1^-1)^4 ]
Map:: polytopal non-degenerate
	R = (1, 3, 10, 20, 6, 19, 40, 33, 13, 30, 17, 5)(2, 7, 22, 38, 18, 37, 35, 14, 4, 12, 26, 8)(9, 27, 41, 48, 39, 36, 16, 31, 11, 29, 15, 28)(21, 42, 34, 47, 32, 46, 25, 45, 23, 44, 24, 43)(49, 50, 54, 66, 61, 52)(51, 57, 67, 87, 78, 59)(53, 63, 68, 89, 81, 64)(55, 69, 85, 80, 60, 71)(56, 72, 86, 82, 62, 73)(58, 70, 88, 83, 65, 74)(75, 90, 84, 94, 77, 92)(76, 91, 96, 95, 79, 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) :: { ( 8^6 ), ( 8^12 ) }
Outer automorphisms :: reflexible
Dual of E13.920
Transitivity :: ET+
Graph:: bipartite
	v = 12 e = 48 f = 12
	degree seq :: [ 6^8, 12^4 ]

E13.917 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {4, 6, 12})
Quotient :: edge
Aut^+ = C3 x ((C4 x C2) : C2) (small group id <48, 21>)
Aut   = (C2 x C2 x C2 x S3) : C2 (small group id <96, 89>)
|r| :: 2
Presentation :: [ F^2, T2^4, (F * T1)^2, (F * T2)^2, T2^-2 * T1 * T2^-2 * T1^-1, T2 * T1^2 * T2^-1 * T1^-2, T2^-1 * T1^-1 * T2^-1 * T1^-5, (T2^-1 * T1 * T2^-1 * T1^-1)^2, (T2^-1, T1^-1)^2, (T2 * T1^-1)^6 ]
Map:: non-degenerate
	R = (1, 3, 10, 5)(2, 7, 21, 8)(4, 12, 27, 14)(6, 18, 39, 19)(9, 25, 15, 26)(11, 28, 16, 30)(13, 29, 45, 33)(17, 36, 47, 37)(20, 41, 23, 42)(22, 43, 24, 44)(31, 35, 34, 46)(32, 40, 48, 38)(49, 50, 54, 65, 83, 76, 91, 73, 89, 80, 61, 52)(51, 57, 66, 86, 82, 62, 72, 56, 71, 85, 77, 59)(53, 63, 67, 88, 79, 60, 70, 55, 68, 84, 81, 64)(58, 69, 87, 95, 94, 78, 92, 74, 90, 96, 93, 75)
	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) :: { ( 12^4 ), ( 12^12 ) }
Outer automorphisms :: reflexible
Dual of E13.918
Transitivity :: ET+
Graph:: simple bipartite
	v = 16 e = 48 f = 8
	degree seq :: [ 4^12, 12^4 ]

E13.918 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {4, 6, 12})
Quotient :: loop
Aut^+ = C3 x ((C4 x C2) : C2) (small group id <48, 21>)
Aut   = (C2 x C2 x C2 x S3) : C2 (small group id <96, 89>)
|r| :: 2
Presentation :: [ F^2, T1^4, (F * T2)^2, (F * T1)^2, T1^4, T1 * T2^-1 * T1^2 * T2 * T1, T2^2 * T1 * T2^-2 * T1^-1, T2^6, (T2^-1, T1^-1)^2, T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 ]
Map:: non-degenerate
	R = (1, 49, 3, 51, 10, 58, 27, 75, 16, 64, 5, 53)(2, 50, 7, 55, 20, 68, 38, 86, 24, 72, 8, 56)(4, 52, 12, 60, 28, 76, 45, 93, 31, 79, 13, 61)(6, 54, 17, 65, 34, 82, 46, 94, 35, 83, 18, 66)(9, 57, 25, 73, 43, 91, 32, 80, 14, 62, 26, 74)(11, 59, 29, 77, 44, 92, 33, 81, 15, 63, 30, 78)(19, 67, 36, 84, 47, 95, 41, 89, 22, 70, 37, 85)(21, 69, 39, 87, 48, 96, 42, 90, 23, 71, 40, 88)
	L = (1, 50)(2, 54)(3, 57)(4, 49)(5, 62)(6, 52)(7, 67)(8, 70)(9, 65)(10, 68)(11, 51)(12, 69)(13, 71)(14, 66)(15, 53)(16, 72)(17, 59)(18, 63)(19, 60)(20, 82)(21, 55)(22, 61)(23, 56)(24, 83)(25, 84)(26, 85)(27, 91)(28, 58)(29, 87)(30, 88)(31, 64)(32, 89)(33, 90)(34, 76)(35, 79)(36, 77)(37, 78)(38, 95)(39, 73)(40, 74)(41, 81)(42, 80)(43, 94)(44, 75)(45, 96)(46, 92)(47, 93)(48, 86)
	local type(s) :: { ( 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E13.917
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 8 e = 48 f = 16
	degree seq :: [ 12^8 ]

E13.919 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {4, 6, 12})
Quotient :: loop
Aut^+ = C3 x ((C4 x C2) : C2) (small group id <48, 21>)
Aut   = (C2 x C2 x C2 x S3) : C2 (small group id <96, 89>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, T2^4 * T1^-2, T1^-1 * T2^-1 * T1^2 * T2 * T1^-1, T1^6, (T2^2 * T1^-1)^2, T2^-1 * T1 * T2^-1 * T1^-1 * T2 * T1 * T2 * T1^-1, (T2^-1 * T1^-1)^4 ]
Map:: non-degenerate
	R = (1, 49, 3, 51, 10, 58, 20, 68, 6, 54, 19, 67, 40, 88, 33, 81, 13, 61, 30, 78, 17, 65, 5, 53)(2, 50, 7, 55, 22, 70, 38, 86, 18, 66, 37, 85, 35, 83, 14, 62, 4, 52, 12, 60, 26, 74, 8, 56)(9, 57, 27, 75, 41, 89, 48, 96, 39, 87, 36, 84, 16, 64, 31, 79, 11, 59, 29, 77, 15, 63, 28, 76)(21, 69, 42, 90, 34, 82, 47, 95, 32, 80, 46, 94, 25, 73, 45, 93, 23, 71, 44, 92, 24, 72, 43, 91)
	L = (1, 50)(2, 54)(3, 57)(4, 49)(5, 63)(6, 66)(7, 69)(8, 72)(9, 67)(10, 70)(11, 51)(12, 71)(13, 52)(14, 73)(15, 68)(16, 53)(17, 74)(18, 61)(19, 87)(20, 89)(21, 85)(22, 88)(23, 55)(24, 86)(25, 56)(26, 58)(27, 90)(28, 91)(29, 92)(30, 59)(31, 93)(32, 60)(33, 64)(34, 62)(35, 65)(36, 94)(37, 80)(38, 82)(39, 78)(40, 83)(41, 81)(42, 84)(43, 96)(44, 75)(45, 76)(46, 77)(47, 79)(48, 95)
	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 E13.915
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 4 e = 48 f = 20
	degree seq :: [ 24^4 ]

E13.920 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {4, 6, 12})
Quotient :: loop
Aut^+ = C3 x ((C4 x C2) : C2) (small group id <48, 21>)
Aut   = (C2 x C2 x C2 x S3) : C2 (small group id <96, 89>)
|r| :: 2
Presentation :: [ F^2, T2^4, (F * T1)^2, (F * T2)^2, T2^-2 * T1 * T2^-2 * T1^-1, T2 * T1^2 * T2^-1 * T1^-2, T2^-1 * T1^-1 * T2^-1 * T1^-5, (T2^-1 * T1 * T2^-1 * T1^-1)^2, (T2^-1, T1^-1)^2, (T2 * T1^-1)^6 ]
Map:: polytopal non-degenerate
	R = (1, 49, 3, 51, 10, 58, 5, 53)(2, 50, 7, 55, 21, 69, 8, 56)(4, 52, 12, 60, 27, 75, 14, 62)(6, 54, 18, 66, 39, 87, 19, 67)(9, 57, 25, 73, 15, 63, 26, 74)(11, 59, 28, 76, 16, 64, 30, 78)(13, 61, 29, 77, 45, 93, 33, 81)(17, 65, 36, 84, 47, 95, 37, 85)(20, 68, 41, 89, 23, 71, 42, 90)(22, 70, 43, 91, 24, 72, 44, 92)(31, 79, 35, 83, 34, 82, 46, 94)(32, 80, 40, 88, 48, 96, 38, 86)
	L = (1, 50)(2, 54)(3, 57)(4, 49)(5, 63)(6, 65)(7, 68)(8, 71)(9, 66)(10, 69)(11, 51)(12, 70)(13, 52)(14, 72)(15, 67)(16, 53)(17, 83)(18, 86)(19, 88)(20, 84)(21, 87)(22, 55)(23, 85)(24, 56)(25, 89)(26, 90)(27, 58)(28, 91)(29, 59)(30, 92)(31, 60)(32, 61)(33, 64)(34, 62)(35, 76)(36, 81)(37, 77)(38, 82)(39, 95)(40, 79)(41, 80)(42, 96)(43, 73)(44, 74)(45, 75)(46, 78)(47, 94)(48, 93)
	local type(s) :: { ( 6, 12, 6, 12, 6, 12, 6, 12 ) }
Outer automorphisms :: reflexible
Dual of E13.916
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 12 e = 48 f = 12
	degree seq :: [ 8^12 ]

E13.921 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 6, 12})
Quotient :: dipole
Aut^+ = C3 x ((C4 x C2) : C2) (small group id <48, 21>)
Aut   = (C2 x C2 x C2 x S3) : C2 (small group id <96, 89>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1^-1, (R * Y1)^2, Y1^4, (R * Y3)^2, Y2 * Y1^-2 * Y2^-1 * Y1^-2, Y3 * Y2^2 * Y3^-1 * Y2^-2, (Y2^-1 * R * Y2^-1)^2, Y1 * Y2^-1 * Y1^-1 * Y3 * Y2 * Y3^-1, (R * Y2 * Y3^-1)^2, Y2^6, Y2^-2 * Y1 * Y2^2 * Y1^-1, Y2^-1 * Y1 * Y2 * Y1 * Y2 * Y1^-1 * Y2^-1 * Y1^-1, Y2^-1 * Y3 * Y2 * Y1 * Y2 * Y3^-1 * Y2^-1 * Y1^-1, (Y3 * Y2^-1)^12 ]
Map::
	R = (1, 49, 2, 50, 6, 54, 4, 52)(3, 51, 9, 57, 17, 65, 11, 59)(5, 53, 14, 62, 18, 66, 15, 63)(7, 55, 19, 67, 12, 60, 21, 69)(8, 56, 22, 70, 13, 61, 23, 71)(10, 58, 20, 68, 34, 82, 28, 76)(16, 64, 24, 72, 35, 83, 31, 79)(25, 73, 36, 84, 29, 77, 39, 87)(26, 74, 37, 85, 30, 78, 40, 88)(27, 75, 43, 91, 46, 94, 44, 92)(32, 80, 41, 89, 33, 81, 42, 90)(38, 86, 47, 95, 45, 93, 48, 96)(97, 145, 99, 147, 106, 154, 123, 171, 112, 160, 101, 149)(98, 146, 103, 151, 116, 164, 134, 182, 120, 168, 104, 152)(100, 148, 108, 156, 124, 172, 141, 189, 127, 175, 109, 157)(102, 150, 113, 161, 130, 178, 142, 190, 131, 179, 114, 162)(105, 153, 121, 169, 139, 187, 128, 176, 110, 158, 122, 170)(107, 155, 125, 173, 140, 188, 129, 177, 111, 159, 126, 174)(115, 163, 132, 180, 143, 191, 137, 185, 118, 166, 133, 181)(117, 165, 135, 183, 144, 192, 138, 186, 119, 167, 136, 184)
	L = (1, 100)(2, 97)(3, 107)(4, 102)(5, 111)(6, 98)(7, 117)(8, 119)(9, 99)(10, 124)(11, 113)(12, 115)(13, 118)(14, 101)(15, 114)(16, 127)(17, 105)(18, 110)(19, 103)(20, 106)(21, 108)(22, 104)(23, 109)(24, 112)(25, 135)(26, 136)(27, 140)(28, 130)(29, 132)(30, 133)(31, 131)(32, 138)(33, 137)(34, 116)(35, 120)(36, 121)(37, 122)(38, 144)(39, 125)(40, 126)(41, 128)(42, 129)(43, 123)(44, 142)(45, 143)(46, 139)(47, 134)(48, 141)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 2, 24, 2, 24, 2, 24, 2, 24 ), ( 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24 ) }
Outer automorphisms :: reflexible
Dual of E13.924
Graph:: bipartite
	v = 20 e = 96 f = 52
	degree seq :: [ 8^12, 12^8 ]

E13.922 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 6, 12})
Quotient :: dipole
Aut^+ = C3 x ((C4 x C2) : C2) (small group id <48, 21>)
Aut   = (C2 x C2 x C2 x S3) : C2 (small group id <96, 89>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, (R * Y1)^2, (R * Y3)^2, Y1^-1 * Y2^4 * Y1^-1, Y1^6, Y2^2 * Y1 * Y2^-2 * Y1^-1, Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1 * Y2 * Y1^-1, (Y3^-1 * Y1^-1)^4 ]
Map::
	R = (1, 49, 2, 50, 6, 54, 18, 66, 13, 61, 4, 52)(3, 51, 9, 57, 19, 67, 39, 87, 30, 78, 11, 59)(5, 53, 15, 63, 20, 68, 41, 89, 33, 81, 16, 64)(7, 55, 21, 69, 37, 85, 32, 80, 12, 60, 23, 71)(8, 56, 24, 72, 38, 86, 34, 82, 14, 62, 25, 73)(10, 58, 22, 70, 40, 88, 35, 83, 17, 65, 26, 74)(27, 75, 42, 90, 36, 84, 46, 94, 29, 77, 44, 92)(28, 76, 43, 91, 48, 96, 47, 95, 31, 79, 45, 93)(97, 145, 99, 147, 106, 154, 116, 164, 102, 150, 115, 163, 136, 184, 129, 177, 109, 157, 126, 174, 113, 161, 101, 149)(98, 146, 103, 151, 118, 166, 134, 182, 114, 162, 133, 181, 131, 179, 110, 158, 100, 148, 108, 156, 122, 170, 104, 152)(105, 153, 123, 171, 137, 185, 144, 192, 135, 183, 132, 180, 112, 160, 127, 175, 107, 155, 125, 173, 111, 159, 124, 172)(117, 165, 138, 186, 130, 178, 143, 191, 128, 176, 142, 190, 121, 169, 141, 189, 119, 167, 140, 188, 120, 168, 139, 187)
	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, 133)(19, 136)(20, 102)(21, 138)(22, 134)(23, 140)(24, 139)(25, 141)(26, 104)(27, 137)(28, 105)(29, 111)(30, 113)(31, 107)(32, 142)(33, 109)(34, 143)(35, 110)(36, 112)(37, 131)(38, 114)(39, 132)(40, 129)(41, 144)(42, 130)(43, 117)(44, 120)(45, 119)(46, 121)(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) :: { ( 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8 ), ( 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 E13.923
Graph:: bipartite
	v = 12 e = 96 f = 60
	degree seq :: [ 12^8, 24^4 ]

E13.923 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 6, 12})
Quotient :: dipole
Aut^+ = C3 x ((C4 x C2) : C2) (small group id <48, 21>)
Aut   = (C2 x C2 x C2 x S3) : C2 (small group id <96, 89>)
|r| :: 2
Presentation :: [ Y1, R^2, Y2^4, Y2^4, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y3 * Y2^-2 * Y3^-1 * Y2^-2, Y3^2 * Y2^-1 * Y3^-2 * Y2, (Y3^-1, Y2^-1)^2, (Y3 * Y2^-1 * Y3^2)^2, (Y3^-2 * Y2^-1 * Y3^-1)^2, (Y3^-1 * Y1^-1)^12 ]
Map:: polytopal
	R = (1, 49)(2, 50)(3, 51)(4, 52)(5, 53)(6, 54)(7, 55)(8, 56)(9, 57)(10, 58)(11, 59)(12, 60)(13, 61)(14, 62)(15, 63)(16, 64)(17, 65)(18, 66)(19, 67)(20, 68)(21, 69)(22, 70)(23, 71)(24, 72)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)(97, 145, 98, 146, 102, 150, 100, 148)(99, 147, 105, 153, 113, 161, 107, 155)(101, 149, 110, 158, 114, 162, 111, 159)(103, 151, 115, 163, 108, 156, 117, 165)(104, 152, 118, 166, 109, 157, 119, 167)(106, 154, 116, 164, 131, 179, 124, 172)(112, 160, 120, 168, 132, 180, 127, 175)(121, 169, 133, 181, 125, 173, 136, 184)(122, 170, 134, 182, 126, 174, 137, 185)(123, 171, 141, 189, 143, 191, 140, 188)(128, 176, 138, 186, 129, 177, 139, 187)(130, 178, 142, 190, 144, 192, 135, 183)
	L = (1, 99)(2, 103)(3, 106)(4, 108)(5, 97)(6, 113)(7, 116)(8, 98)(9, 121)(10, 123)(11, 125)(12, 124)(13, 100)(14, 122)(15, 126)(16, 101)(17, 131)(18, 102)(19, 133)(20, 135)(21, 136)(22, 134)(23, 137)(24, 104)(25, 141)(26, 105)(27, 138)(28, 142)(29, 140)(30, 107)(31, 109)(32, 110)(33, 111)(34, 112)(35, 143)(36, 114)(37, 130)(38, 115)(39, 129)(40, 144)(41, 117)(42, 118)(43, 119)(44, 120)(45, 127)(46, 128)(47, 139)(48, 132)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 12, 24 ), ( 12, 24, 12, 24, 12, 24, 12, 24 ) }
Outer automorphisms :: reflexible
Dual of E13.922
Graph:: simple bipartite
	v = 60 e = 96 f = 12
	degree seq :: [ 2^48, 8^12 ]

E13.924 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 6, 12})
Quotient :: dipole
Aut^+ = C3 x ((C4 x C2) : C2) (small group id <48, 21>)
Aut   = (C2 x C2 x C2 x S3) : C2 (small group id <96, 89>)
|r| :: 2
Presentation :: [ Y2, R^2, Y3^4, (R * Y1)^2, (R * Y3)^2, Y3^-2 * Y1 * Y3^-2 * Y1^-1, (R * Y2 * Y3^-1)^2, Y1 * Y3^-1 * Y1^-2 * Y3 * Y1, Y3^-1 * Y1^-5 * Y3^-1 * Y1^-1, (Y3^-1, Y1)^2, Y3^-1 * Y1^-1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1^-1, Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-4, (Y3 * Y2^-1)^4 ]
Map::
	R = (1, 49, 2, 50, 6, 54, 17, 65, 35, 83, 28, 76, 43, 91, 25, 73, 41, 89, 32, 80, 13, 61, 4, 52)(3, 51, 9, 57, 18, 66, 38, 86, 34, 82, 14, 62, 24, 72, 8, 56, 23, 71, 37, 85, 29, 77, 11, 59)(5, 53, 15, 63, 19, 67, 40, 88, 31, 79, 12, 60, 22, 70, 7, 55, 20, 68, 36, 84, 33, 81, 16, 64)(10, 58, 21, 69, 39, 87, 47, 95, 46, 94, 30, 78, 44, 92, 26, 74, 42, 90, 48, 96, 45, 93, 27, 75)(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, 114)(7, 117)(8, 98)(9, 121)(10, 101)(11, 124)(12, 123)(13, 125)(14, 100)(15, 122)(16, 126)(17, 132)(18, 135)(19, 102)(20, 137)(21, 104)(22, 139)(23, 138)(24, 140)(25, 111)(26, 105)(27, 110)(28, 112)(29, 141)(30, 107)(31, 131)(32, 136)(33, 109)(34, 142)(35, 130)(36, 143)(37, 113)(38, 128)(39, 115)(40, 144)(41, 119)(42, 116)(43, 120)(44, 118)(45, 129)(46, 127)(47, 133)(48, 134)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 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 E13.921
Graph:: simple bipartite
	v = 52 e = 96 f = 20
	degree seq :: [ 2^48, 24^4 ]

E13.925 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 6, 12})
Quotient :: dipole
Aut^+ = C3 x ((C4 x C2) : C2) (small group id <48, 21>)
Aut   = (C2 x C2 x C2 x S3) : C2 (small group id <96, 89>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y3, (R * Y1)^2, (R * Y3)^2, Y1^4, (R * Y2 * Y3^-1)^2, Y2 * Y1^-2 * Y2^-1 * Y1^-2, Y3 * Y2^-1 * Y1 * Y3^-1 * Y2 * Y1^-1, Y2^2 * Y3^-1 * Y2^-2 * Y1^-1, Y3 * Y2 * Y1 * Y3^-1 * Y2^-1 * Y1^-1, (Y2^-1 * R * Y2^-1)^2, (Y2 * Y1^-1 * Y2^-1 * Y1^-1)^2, Y2 * Y1^-1 * Y2^5 * Y1^-1, Y2^-1 * Y3 * Y2^-1 * Y1 * Y2 * Y3^-1 * Y2 * Y1^-1, Y2 * Y3 * Y2 * Y1 * Y2^-1 * Y3^-1 * Y2^-1 * Y1^-1, Y2 * Y1^-1 * Y2 * Y1^-1 * Y2^-1 * Y1 * Y2^-1 * Y1, (Y3 * Y2^-1)^6 ]
Map::
	R = (1, 49, 2, 50, 6, 54, 4, 52)(3, 51, 9, 57, 17, 65, 11, 59)(5, 53, 14, 62, 18, 66, 15, 63)(7, 55, 19, 67, 12, 60, 21, 69)(8, 56, 22, 70, 13, 61, 23, 71)(10, 58, 20, 68, 35, 83, 28, 76)(16, 64, 24, 72, 36, 84, 31, 79)(25, 73, 37, 85, 29, 77, 40, 88)(26, 74, 38, 86, 30, 78, 41, 89)(27, 75, 45, 93, 47, 95, 44, 92)(32, 80, 42, 90, 33, 81, 43, 91)(34, 82, 46, 94, 48, 96, 39, 87)(97, 145, 99, 147, 106, 154, 123, 171, 138, 186, 118, 166, 134, 182, 115, 163, 133, 181, 130, 178, 112, 160, 101, 149)(98, 146, 103, 151, 116, 164, 135, 183, 129, 177, 111, 159, 126, 174, 107, 155, 125, 173, 140, 188, 120, 168, 104, 152)(100, 148, 108, 156, 124, 172, 142, 190, 128, 176, 110, 158, 122, 170, 105, 153, 121, 169, 141, 189, 127, 175, 109, 157)(102, 150, 113, 161, 131, 179, 143, 191, 139, 187, 119, 167, 137, 185, 117, 165, 136, 184, 144, 192, 132, 180, 114, 162)
	L = (1, 100)(2, 97)(3, 107)(4, 102)(5, 111)(6, 98)(7, 117)(8, 119)(9, 99)(10, 124)(11, 113)(12, 115)(13, 118)(14, 101)(15, 114)(16, 127)(17, 105)(18, 110)(19, 103)(20, 106)(21, 108)(22, 104)(23, 109)(24, 112)(25, 136)(26, 137)(27, 140)(28, 131)(29, 133)(30, 134)(31, 132)(32, 139)(33, 138)(34, 135)(35, 116)(36, 120)(37, 121)(38, 122)(39, 144)(40, 125)(41, 126)(42, 128)(43, 129)(44, 143)(45, 123)(46, 130)(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) :: { ( 2, 12, 2, 12, 2, 12, 2, 12 ), ( 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 E13.926
Graph:: bipartite
	v = 16 e = 96 f = 56
	degree seq :: [ 8^12, 24^4 ]

E13.926 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 6, 12})
Quotient :: dipole
Aut^+ = C3 x ((C4 x C2) : C2) (small group id <48, 21>)
Aut   = (C2 x C2 x C2 x S3) : C2 (small group id <96, 89>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, (Y3^2 * Y1^-1)^2, Y1^6, Y3^4 * Y1^-2, Y3^-1 * Y1^2 * Y3 * Y1^-2, (Y1^-1 * Y3^-1)^4, Y3 * Y1 * Y3 * Y1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1, (Y3 * Y2^-1)^12 ]
Map::
	R = (1, 49, 2, 50, 6, 54, 18, 66, 13, 61, 4, 52)(3, 51, 9, 57, 19, 67, 39, 87, 30, 78, 11, 59)(5, 53, 15, 63, 20, 68, 41, 89, 33, 81, 16, 64)(7, 55, 21, 69, 37, 85, 32, 80, 12, 60, 23, 71)(8, 56, 24, 72, 38, 86, 34, 82, 14, 62, 25, 73)(10, 58, 22, 70, 40, 88, 35, 83, 17, 65, 26, 74)(27, 75, 42, 90, 36, 84, 46, 94, 29, 77, 44, 92)(28, 76, 43, 91, 48, 96, 47, 95, 31, 79, 45, 93)(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, 133)(19, 136)(20, 102)(21, 138)(22, 134)(23, 140)(24, 139)(25, 141)(26, 104)(27, 137)(28, 105)(29, 111)(30, 113)(31, 107)(32, 142)(33, 109)(34, 143)(35, 110)(36, 112)(37, 131)(38, 114)(39, 132)(40, 129)(41, 144)(42, 130)(43, 117)(44, 120)(45, 119)(46, 121)(47, 128)(48, 135)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 8, 24 ), ( 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24 ) }
Outer automorphisms :: reflexible
Dual of E13.925
Graph:: simple bipartite
	v = 56 e = 96 f = 16
	degree seq :: [ 2^48, 12^8 ]

E13.927 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {4, 6, 12})
Quotient :: edge
Aut^+ = C4 x A4 (small group id <48, 31>)
Aut   = (C2 x S4) : C2 (small group id <96, 187>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, T1^4, T1^-2 * T2^3, (T1, T2^-1, T1^-1), (T2^-1 * T1^-1)^12 ]
Map:: non-degenerate
	R = (1, 3, 10, 6, 16, 5)(2, 7, 13, 4, 12, 8)(9, 21, 24, 11, 23, 22)(14, 25, 28, 15, 27, 26)(17, 29, 32, 18, 31, 30)(19, 33, 36, 20, 35, 34)(37, 45, 39, 38, 46, 40)(41, 47, 43, 42, 48, 44)(49, 50, 54, 52)(51, 57, 64, 59)(53, 62, 58, 63)(55, 65, 60, 66)(56, 67, 61, 68)(69, 85, 71, 86)(70, 78, 72, 80)(73, 81, 75, 83)(74, 87, 76, 88)(77, 89, 79, 90)(82, 91, 84, 92)(93, 95, 94, 96)
	L = (1, 49)(2, 50)(3, 51)(4, 52)(5, 53)(6, 54)(7, 55)(8, 56)(9, 57)(10, 58)(11, 59)(12, 60)(13, 61)(14, 62)(15, 63)(16, 64)(17, 65)(18, 66)(19, 67)(20, 68)(21, 69)(22, 70)(23, 71)(24, 72)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 24^4 ), ( 24^6 ) }
Outer automorphisms :: reflexible
Dual of E13.931
Transitivity :: ET+
Graph:: bipartite
	v = 20 e = 48 f = 4
	degree seq :: [ 4^12, 6^8 ]

E13.928 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {4, 6, 12})
Quotient :: edge
Aut^+ = C4 x A4 (small group id <48, 31>)
Aut   = (C2 x S4) : C2 (small group id <96, 187>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, T1^2 * T2^-1 * T1^-1 * T2^-1, (T2^2 * T1^-1)^2, (T1 * T2^-2)^2, T1^6, T2^5 * T1^-1 * T2^-1 * T1^-1, (T1 * T2^2 * T1)^2 ]
Map:: non-degenerate
	R = (1, 3, 10, 27, 41, 20, 18, 33, 47, 39, 17, 5)(2, 7, 21, 43, 46, 32, 13, 16, 36, 44, 23, 8)(4, 12, 30, 45, 25, 9, 6, 19, 40, 48, 34, 14)(11, 28, 15, 35, 22, 26, 24, 42, 37, 38, 31, 29)(49, 50, 54, 66, 61, 52)(51, 57, 72, 81, 62, 59)(53, 63, 55, 68, 85, 64)(56, 70, 67, 80, 79, 60)(58, 74, 94, 95, 77, 71)(65, 78, 83, 89, 88, 86)(69, 90, 82, 84, 76, 73)(75, 91, 96, 87, 92, 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) :: { ( 8^6 ), ( 8^12 ) }
Outer automorphisms :: reflexible
Dual of E13.932
Transitivity :: ET+
Graph:: bipartite
	v = 12 e = 48 f = 12
	degree seq :: [ 6^8, 12^4 ]

E13.929 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {4, 6, 12})
Quotient :: edge
Aut^+ = C4 x A4 (small group id <48, 31>)
Aut   = (C2 x S4) : C2 (small group id <96, 187>)
|r| :: 2
Presentation :: [ F^2, T2^4, (F * T2)^2, (F * T1)^2, T2^-2 * T1 * T2^-2 * T1^-1, (T1^-1 * T2)^3, T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2 * T1^-1, T2 * T1 * T2 * T1^-1 * T2^-1 * T1 * T2^-1 * T1^-1, T1^-1 * T2^2 * T1^-5, (T2 * T1^-3)^2 ]
Map:: non-degenerate
	R = (1, 3, 10, 5)(2, 7, 21, 8)(4, 12, 28, 14)(6, 18, 41, 19)(9, 26, 15, 27)(11, 23, 16, 20)(13, 31, 37, 33)(17, 38, 32, 39)(22, 43, 24, 40)(25, 46, 35, 48)(29, 44, 36, 42)(30, 47, 34, 45)(49, 50, 54, 65, 85, 76, 58, 69, 89, 80, 61, 52)(51, 57, 73, 86, 84, 64, 53, 63, 83, 87, 77, 59)(55, 68, 93, 81, 96, 72, 56, 71, 95, 79, 94, 70)(60, 78, 90, 66, 88, 75, 62, 82, 92, 67, 91, 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) :: { ( 12^4 ), ( 12^12 ) }
Outer automorphisms :: reflexible
Dual of E13.930
Transitivity :: ET+
Graph:: bipartite
	v = 16 e = 48 f = 8
	degree seq :: [ 4^12, 12^4 ]

E13.930 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {4, 6, 12})
Quotient :: loop
Aut^+ = C4 x A4 (small group id <48, 31>)
Aut   = (C2 x S4) : C2 (small group id <96, 187>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, T1^4, T1^-2 * T2^3, (T1, T2^-1, T1^-1), (T2^-1 * T1^-1)^12 ]
Map:: non-degenerate
	R = (1, 49, 3, 51, 10, 58, 6, 54, 16, 64, 5, 53)(2, 50, 7, 55, 13, 61, 4, 52, 12, 60, 8, 56)(9, 57, 21, 69, 24, 72, 11, 59, 23, 71, 22, 70)(14, 62, 25, 73, 28, 76, 15, 63, 27, 75, 26, 74)(17, 65, 29, 77, 32, 80, 18, 66, 31, 79, 30, 78)(19, 67, 33, 81, 36, 84, 20, 68, 35, 83, 34, 82)(37, 85, 45, 93, 39, 87, 38, 86, 46, 94, 40, 88)(41, 89, 47, 95, 43, 91, 42, 90, 48, 96, 44, 92)
	L = (1, 50)(2, 54)(3, 57)(4, 49)(5, 62)(6, 52)(7, 65)(8, 67)(9, 64)(10, 63)(11, 51)(12, 66)(13, 68)(14, 58)(15, 53)(16, 59)(17, 60)(18, 55)(19, 61)(20, 56)(21, 85)(22, 78)(23, 86)(24, 80)(25, 81)(26, 87)(27, 83)(28, 88)(29, 89)(30, 72)(31, 90)(32, 70)(33, 75)(34, 91)(35, 73)(36, 92)(37, 71)(38, 69)(39, 76)(40, 74)(41, 79)(42, 77)(43, 84)(44, 82)(45, 95)(46, 96)(47, 94)(48, 93)
	local type(s) :: { ( 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E13.929
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 8 e = 48 f = 16
	degree seq :: [ 12^8 ]

E13.931 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {4, 6, 12})
Quotient :: loop
Aut^+ = C4 x A4 (small group id <48, 31>)
Aut   = (C2 x S4) : C2 (small group id <96, 187>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, T1^2 * T2^-1 * T1^-1 * T2^-1, (T2^2 * T1^-1)^2, (T1 * T2^-2)^2, T1^6, T2^5 * T1^-1 * T2^-1 * T1^-1, (T1 * T2^2 * T1)^2 ]
Map:: non-degenerate
	R = (1, 49, 3, 51, 10, 58, 27, 75, 41, 89, 20, 68, 18, 66, 33, 81, 47, 95, 39, 87, 17, 65, 5, 53)(2, 50, 7, 55, 21, 69, 43, 91, 46, 94, 32, 80, 13, 61, 16, 64, 36, 84, 44, 92, 23, 71, 8, 56)(4, 52, 12, 60, 30, 78, 45, 93, 25, 73, 9, 57, 6, 54, 19, 67, 40, 88, 48, 96, 34, 82, 14, 62)(11, 59, 28, 76, 15, 63, 35, 83, 22, 70, 26, 74, 24, 72, 42, 90, 37, 85, 38, 86, 31, 79, 29, 77)
	L = (1, 50)(2, 54)(3, 57)(4, 49)(5, 63)(6, 66)(7, 68)(8, 70)(9, 72)(10, 74)(11, 51)(12, 56)(13, 52)(14, 59)(15, 55)(16, 53)(17, 78)(18, 61)(19, 80)(20, 85)(21, 90)(22, 67)(23, 58)(24, 81)(25, 69)(26, 94)(27, 91)(28, 73)(29, 71)(30, 83)(31, 60)(32, 79)(33, 62)(34, 84)(35, 89)(36, 76)(37, 64)(38, 65)(39, 92)(40, 86)(41, 88)(42, 82)(43, 96)(44, 93)(45, 75)(46, 95)(47, 77)(48, 87)
	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 E13.927
Transitivity :: ET+ VT+ AT
Graph::
	v = 4 e = 48 f = 20
	degree seq :: [ 24^4 ]

E13.932 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {4, 6, 12})
Quotient :: loop
Aut^+ = C4 x A4 (small group id <48, 31>)
Aut   = (C2 x S4) : C2 (small group id <96, 187>)
|r| :: 2
Presentation :: [ F^2, T2^4, (F * T2)^2, (F * T1)^2, T2^-2 * T1 * T2^-2 * T1^-1, (T1^-1 * T2)^3, T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2 * T1^-1, T2 * T1 * T2 * T1^-1 * T2^-1 * T1 * T2^-1 * T1^-1, T1^-1 * T2^2 * T1^-5, (T2 * T1^-3)^2 ]
Map:: non-degenerate
	R = (1, 49, 3, 51, 10, 58, 5, 53)(2, 50, 7, 55, 21, 69, 8, 56)(4, 52, 12, 60, 28, 76, 14, 62)(6, 54, 18, 66, 41, 89, 19, 67)(9, 57, 26, 74, 15, 63, 27, 75)(11, 59, 23, 71, 16, 64, 20, 68)(13, 61, 31, 79, 37, 85, 33, 81)(17, 65, 38, 86, 32, 80, 39, 87)(22, 70, 43, 91, 24, 72, 40, 88)(25, 73, 46, 94, 35, 83, 48, 96)(29, 77, 44, 92, 36, 84, 42, 90)(30, 78, 47, 95, 34, 82, 45, 93)
	L = (1, 50)(2, 54)(3, 57)(4, 49)(5, 63)(6, 65)(7, 68)(8, 71)(9, 73)(10, 69)(11, 51)(12, 78)(13, 52)(14, 82)(15, 83)(16, 53)(17, 85)(18, 88)(19, 91)(20, 93)(21, 89)(22, 55)(23, 95)(24, 56)(25, 86)(26, 60)(27, 62)(28, 58)(29, 59)(30, 90)(31, 94)(32, 61)(33, 96)(34, 92)(35, 87)(36, 64)(37, 76)(38, 84)(39, 77)(40, 75)(41, 80)(42, 66)(43, 74)(44, 67)(45, 81)(46, 70)(47, 79)(48, 72)
	local type(s) :: { ( 6, 12, 6, 12, 6, 12, 6, 12 ) }
Outer automorphisms :: reflexible
Dual of E13.928
Transitivity :: ET+ VT+ AT
Graph::
	v = 12 e = 48 f = 12
	degree seq :: [ 8^12 ]

E13.933 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 6, 12})
Quotient :: dipole
Aut^+ = C4 x A4 (small group id <48, 31>)
Aut   = (C2 x S4) : C2 (small group id <96, 187>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y3, (Y3^-1, Y1), (Y1 * Y3^-1)^2, Y1^-1 * Y3^2 * Y1^-1, (R * Y3)^2, (R * Y1)^2, Y3 * Y2^-3 * Y1^-1, R * Y2 * R * Y1 * Y2 * Y1^-1, (R * Y2 * Y3^-1)^2, Y1 * Y2^-1 * Y1 * Y2 * Y3^-1 * Y2^-1 * Y3^-1 * Y2, (Y3 * Y2^-1)^12 ]
Map::
	R = (1, 49, 2, 50, 6, 54, 4, 52)(3, 51, 9, 57, 16, 64, 11, 59)(5, 53, 14, 62, 10, 58, 15, 63)(7, 55, 17, 65, 12, 60, 18, 66)(8, 56, 19, 67, 13, 61, 20, 68)(21, 69, 37, 85, 23, 71, 38, 86)(22, 70, 30, 78, 24, 72, 32, 80)(25, 73, 33, 81, 27, 75, 35, 83)(26, 74, 39, 87, 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, 102, 150, 112, 160, 101, 149)(98, 146, 103, 151, 109, 157, 100, 148, 108, 156, 104, 152)(105, 153, 117, 165, 120, 168, 107, 155, 119, 167, 118, 166)(110, 158, 121, 169, 124, 172, 111, 159, 123, 171, 122, 170)(113, 161, 125, 173, 128, 176, 114, 162, 127, 175, 126, 174)(115, 163, 129, 177, 132, 180, 116, 164, 131, 179, 130, 178)(133, 181, 141, 189, 135, 183, 134, 182, 142, 190, 136, 184)(137, 185, 143, 191, 139, 187, 138, 186, 144, 192, 140, 188)
	L = (1, 100)(2, 97)(3, 107)(4, 102)(5, 111)(6, 98)(7, 114)(8, 116)(9, 99)(10, 110)(11, 112)(12, 113)(13, 115)(14, 101)(15, 106)(16, 105)(17, 103)(18, 108)(19, 104)(20, 109)(21, 134)(22, 128)(23, 133)(24, 126)(25, 131)(26, 136)(27, 129)(28, 135)(29, 138)(30, 118)(31, 137)(32, 120)(33, 121)(34, 140)(35, 123)(36, 139)(37, 117)(38, 119)(39, 122)(40, 124)(41, 125)(42, 127)(43, 130)(44, 132)(45, 144)(46, 143)(47, 141)(48, 142)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 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 E13.936
Graph:: bipartite
	v = 20 e = 96 f = 52
	degree seq :: [ 8^12, 12^8 ]

E13.934 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 6, 12})
Quotient :: dipole
Aut^+ = C4 x A4 (small group id <48, 31>)
Aut   = (C2 x S4) : C2 (small group id <96, 187>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, (R * Y1)^2, (R * Y3)^2, Y1 * Y2 * Y1^-2 * Y2, Y1^6, (Y1 * Y2^-2)^2, Y2^3 * Y1 * Y2^-3 * Y1^-1, (Y1 * Y2^2 * Y1)^2, (Y3^-1 * Y1^-1)^4 ]
Map::
	R = (1, 49, 2, 50, 6, 54, 18, 66, 13, 61, 4, 52)(3, 51, 9, 57, 24, 72, 33, 81, 14, 62, 11, 59)(5, 53, 15, 63, 7, 55, 20, 68, 37, 85, 16, 64)(8, 56, 22, 70, 19, 67, 32, 80, 31, 79, 12, 60)(10, 58, 26, 74, 46, 94, 47, 95, 29, 77, 23, 71)(17, 65, 30, 78, 35, 83, 41, 89, 40, 88, 38, 86)(21, 69, 42, 90, 34, 82, 36, 84, 28, 76, 25, 73)(27, 75, 43, 91, 48, 96, 39, 87, 44, 92, 45, 93)(97, 145, 99, 147, 106, 154, 123, 171, 137, 185, 116, 164, 114, 162, 129, 177, 143, 191, 135, 183, 113, 161, 101, 149)(98, 146, 103, 151, 117, 165, 139, 187, 142, 190, 128, 176, 109, 157, 112, 160, 132, 180, 140, 188, 119, 167, 104, 152)(100, 148, 108, 156, 126, 174, 141, 189, 121, 169, 105, 153, 102, 150, 115, 163, 136, 184, 144, 192, 130, 178, 110, 158)(107, 155, 124, 172, 111, 159, 131, 179, 118, 166, 122, 170, 120, 168, 138, 186, 133, 181, 134, 182, 127, 175, 125, 173)
	L = (1, 99)(2, 103)(3, 106)(4, 108)(5, 97)(6, 115)(7, 117)(8, 98)(9, 102)(10, 123)(11, 124)(12, 126)(13, 112)(14, 100)(15, 131)(16, 132)(17, 101)(18, 129)(19, 136)(20, 114)(21, 139)(22, 122)(23, 104)(24, 138)(25, 105)(26, 120)(27, 137)(28, 111)(29, 107)(30, 141)(31, 125)(32, 109)(33, 143)(34, 110)(35, 118)(36, 140)(37, 134)(38, 127)(39, 113)(40, 144)(41, 116)(42, 133)(43, 142)(44, 119)(45, 121)(46, 128)(47, 135)(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) :: { ( 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8 ), ( 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 E13.935
Graph:: bipartite
	v = 12 e = 96 f = 60
	degree seq :: [ 12^8, 24^4 ]

E13.935 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 6, 12})
Quotient :: dipole
Aut^+ = C4 x A4 (small group id <48, 31>)
Aut   = (C2 x S4) : C2 (small group id <96, 187>)
|r| :: 2
Presentation :: [ Y1, R^2, Y2^4, (R * Y3)^2, (R * Y1)^2, Y2^4, Y2 * Y3^-1 * Y2^2 * Y3 * Y2, (R * Y2 * Y3^-1)^2, (Y3 * Y2)^3, (Y3 * Y2^-1 * Y3^-1 * Y2^-1)^2, Y3^6 * Y2^-2, (Y3^3 * Y2^-1)^2, (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, 100, 148)(99, 147, 105, 153, 113, 161, 107, 155)(101, 149, 110, 158, 114, 162, 111, 159)(103, 151, 115, 163, 108, 156, 117, 165)(104, 152, 118, 166, 109, 157, 119, 167)(106, 154, 122, 170, 133, 181, 124, 172)(112, 160, 130, 178, 134, 182, 131, 179)(116, 164, 136, 184, 126, 174, 138, 186)(120, 168, 142, 190, 127, 175, 143, 191)(121, 169, 135, 183, 125, 173, 139, 187)(123, 171, 137, 185, 132, 180, 144, 192)(128, 176, 140, 188, 129, 177, 141, 189)
	L = (1, 99)(2, 103)(3, 106)(4, 108)(5, 97)(6, 113)(7, 116)(8, 98)(9, 118)(10, 123)(11, 119)(12, 126)(13, 100)(14, 128)(15, 129)(16, 101)(17, 133)(18, 102)(19, 111)(20, 137)(21, 110)(22, 140)(23, 141)(24, 104)(25, 105)(26, 135)(27, 134)(28, 139)(29, 107)(30, 144)(31, 109)(32, 142)(33, 143)(34, 138)(35, 136)(36, 112)(37, 132)(38, 114)(39, 115)(40, 125)(41, 127)(42, 121)(43, 117)(44, 131)(45, 130)(46, 122)(47, 124)(48, 120)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 12, 24 ), ( 12, 24, 12, 24, 12, 24, 12, 24 ) }
Outer automorphisms :: reflexible
Dual of E13.934
Graph:: simple bipartite
	v = 60 e = 96 f = 12
	degree seq :: [ 2^48, 8^12 ]

E13.936 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 6, 12})
Quotient :: dipole
Aut^+ = C4 x A4 (small group id <48, 31>)
Aut   = (C2 x S4) : C2 (small group id <96, 187>)
|r| :: 2
Presentation :: [ Y2, R^2, Y3^4, (R * Y1)^2, (R * Y3)^2, Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3, Y3^2 * Y1 * Y3^2 * Y1^-1, (R * Y2 * Y3^-1)^2, Y3 * Y1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1 * Y3 * Y1^-1, Y1^-1 * Y3^2 * Y1^-5, (Y3 * Y1^-3)^2, (Y3 * Y2^-1)^4 ]
Map::
	R = (1, 49, 2, 50, 6, 54, 17, 65, 37, 85, 28, 76, 10, 58, 21, 69, 41, 89, 32, 80, 13, 61, 4, 52)(3, 51, 9, 57, 25, 73, 38, 86, 36, 84, 16, 64, 5, 53, 15, 63, 35, 83, 39, 87, 29, 77, 11, 59)(7, 55, 20, 68, 45, 93, 33, 81, 48, 96, 24, 72, 8, 56, 23, 71, 47, 95, 31, 79, 46, 94, 22, 70)(12, 60, 30, 78, 42, 90, 18, 66, 40, 88, 27, 75, 14, 62, 34, 82, 44, 92, 19, 67, 43, 91, 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, 114)(7, 117)(8, 98)(9, 122)(10, 101)(11, 119)(12, 124)(13, 127)(14, 100)(15, 123)(16, 116)(17, 134)(18, 137)(19, 102)(20, 107)(21, 104)(22, 139)(23, 112)(24, 136)(25, 142)(26, 111)(27, 105)(28, 110)(29, 140)(30, 143)(31, 133)(32, 135)(33, 109)(34, 141)(35, 144)(36, 138)(37, 129)(38, 128)(39, 113)(40, 118)(41, 115)(42, 125)(43, 120)(44, 132)(45, 126)(46, 131)(47, 130)(48, 121)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 8, 12 ), ( 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12 ) }
Outer automorphisms :: reflexible
Dual of E13.933
Graph:: simple bipartite
	v = 52 e = 96 f = 20
	degree seq :: [ 2^48, 24^4 ]

E13.937 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 6, 12})
Quotient :: dipole
Aut^+ = C4 x A4 (small group id <48, 31>)
Aut   = (C2 x S4) : C2 (small group id <96, 187>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y1, Y3 * Y1^-2 * Y3, (R * Y1)^2, Y1^4, (R * Y3)^2, Y3^-1 * Y2 * Y3^-1 * Y2 * Y3 * Y2, Y2 * Y1 * Y2 * Y3 * Y2 * Y1, (R * Y2 * Y3^-1)^2, Y1 * Y2^-1 * Y3^-1 * Y2^-1 * Y3^-1 * Y2^-1, Y1 * Y2^-1 * Y3^2 * Y2 * Y1, Y2 * Y1 * Y2^-1 * Y1 * Y2^2 * Y3 * Y2, Y2 * Y3^-1 * Y2^-2 * Y1^-1 * Y2^-2 * Y1^-1, Y3 * Y2^-2 * Y1 * Y3^-1 * Y2^2 * Y1^-1, Y2^5 * Y3^-2 * Y2 ]
Map::
	R = (1, 49, 2, 50, 6, 54, 4, 52)(3, 51, 9, 57, 17, 65, 11, 59)(5, 53, 14, 62, 18, 66, 15, 63)(7, 55, 19, 67, 12, 60, 21, 69)(8, 56, 22, 70, 13, 61, 23, 71)(10, 58, 26, 74, 37, 85, 28, 76)(16, 64, 34, 82, 38, 86, 35, 83)(20, 68, 40, 88, 30, 78, 42, 90)(24, 72, 46, 94, 31, 79, 47, 95)(25, 73, 39, 87, 29, 77, 43, 91)(27, 75, 41, 89, 36, 84, 48, 96)(32, 80, 44, 92, 33, 81, 45, 93)(97, 145, 99, 147, 106, 154, 123, 171, 134, 182, 114, 162, 102, 150, 113, 161, 133, 181, 132, 180, 112, 160, 101, 149)(98, 146, 103, 151, 116, 164, 137, 185, 127, 175, 109, 157, 100, 148, 108, 156, 126, 174, 144, 192, 120, 168, 104, 152)(105, 153, 119, 167, 141, 189, 131, 179, 138, 186, 125, 173, 107, 155, 118, 166, 140, 188, 130, 178, 136, 184, 121, 169)(110, 158, 128, 176, 143, 191, 122, 170, 139, 187, 117, 165, 111, 159, 129, 177, 142, 190, 124, 172, 135, 183, 115, 163)
	L = (1, 100)(2, 97)(3, 107)(4, 102)(5, 111)(6, 98)(7, 117)(8, 119)(9, 99)(10, 124)(11, 113)(12, 115)(13, 118)(14, 101)(15, 114)(16, 131)(17, 105)(18, 110)(19, 103)(20, 138)(21, 108)(22, 104)(23, 109)(24, 143)(25, 139)(26, 106)(27, 144)(28, 133)(29, 135)(30, 136)(31, 142)(32, 141)(33, 140)(34, 112)(35, 134)(36, 137)(37, 122)(38, 130)(39, 121)(40, 116)(41, 123)(42, 126)(43, 125)(44, 128)(45, 129)(46, 120)(47, 127)(48, 132)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 2, 12, 2, 12, 2, 12, 2, 12 ), ( 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 E13.938
Graph:: bipartite
	v = 16 e = 96 f = 56
	degree seq :: [ 8^12, 24^4 ]

E13.938 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 6, 12})
Quotient :: dipole
Aut^+ = C4 x A4 (small group id <48, 31>)
Aut   = (C2 x S4) : C2 (small group id <96, 187>)
|r| :: 2
Presentation :: [ 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^-1)^2, Y1^6, Y3^-2 * Y1 * Y3^3 * Y1^-1 * Y3^-1, (Y1 * Y3^2 * Y1)^2, (Y3 * Y2^-1)^12 ]
Map::
	R = (1, 49, 2, 50, 6, 54, 18, 66, 13, 61, 4, 52)(3, 51, 9, 57, 24, 72, 33, 81, 14, 62, 11, 59)(5, 53, 15, 63, 7, 55, 20, 68, 37, 85, 16, 64)(8, 56, 22, 70, 19, 67, 32, 80, 31, 79, 12, 60)(10, 58, 26, 74, 46, 94, 47, 95, 29, 77, 23, 71)(17, 65, 30, 78, 35, 83, 41, 89, 40, 88, 38, 86)(21, 69, 42, 90, 34, 82, 36, 84, 28, 76, 25, 73)(27, 75, 43, 91, 48, 96, 39, 87, 44, 92, 45, 93)(97, 145)(98, 146)(99, 147)(100, 148)(101, 149)(102, 150)(103, 151)(104, 152)(105, 153)(106, 154)(107, 155)(108, 156)(109, 157)(110, 158)(111, 159)(112, 160)(113, 161)(114, 162)(115, 163)(116, 164)(117, 165)(118, 166)(119, 167)(120, 168)(121, 169)(122, 170)(123, 171)(124, 172)(125, 173)(126, 174)(127, 175)(128, 176)(129, 177)(130, 178)(131, 179)(132, 180)(133, 181)(134, 182)(135, 183)(136, 184)(137, 185)(138, 186)(139, 187)(140, 188)(141, 189)(142, 190)(143, 191)(144, 192)
	L = (1, 99)(2, 103)(3, 106)(4, 108)(5, 97)(6, 115)(7, 117)(8, 98)(9, 102)(10, 123)(11, 124)(12, 126)(13, 112)(14, 100)(15, 131)(16, 132)(17, 101)(18, 129)(19, 136)(20, 114)(21, 139)(22, 122)(23, 104)(24, 138)(25, 105)(26, 120)(27, 137)(28, 111)(29, 107)(30, 141)(31, 125)(32, 109)(33, 143)(34, 110)(35, 118)(36, 140)(37, 134)(38, 127)(39, 113)(40, 144)(41, 116)(42, 133)(43, 142)(44, 119)(45, 121)(46, 128)(47, 135)(48, 130)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 8, 24 ), ( 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24 ) }
Outer automorphisms :: reflexible
Dual of E13.937
Graph:: simple bipartite
	v = 56 e = 96 f = 16
	degree seq :: [ 2^48, 12^8 ]

E13.939 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {3, 12, 12})
Quotient :: edge
Aut^+ = C4 x A4 (small group id <48, 31>)
Aut   = (C2 x S4) : C2 (small group id <96, 187>)
|r| :: 2
Presentation :: [ F^2, T1^3, (F * T2)^2, (F * T1)^2, (T2^-2 * T1^-1)^2, T2^2 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1, (T2^-1, T1^-1)^2, (T2 * T1^-1)^4 ]
Map:: non-degenerate
	R = (1, 3, 9, 25, 46, 31, 42, 19, 41, 38, 15, 5)(2, 6, 17, 39, 28, 10, 27, 32, 48, 44, 21, 7)(4, 11, 30, 47, 40, 18, 35, 13, 34, 45, 24, 12)(8, 22, 14, 36, 16, 26, 20, 43, 29, 37, 33, 23)(49, 50, 52)(51, 56, 58)(53, 61, 62)(54, 64, 66)(55, 67, 68)(57, 72, 74)(59, 77, 79)(60, 80, 81)(63, 85, 65)(69, 70, 78)(71, 89, 88)(73, 87, 95)(75, 83, 90)(76, 91, 82)(84, 96, 94)(86, 92, 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) :: { ( 24^3 ), ( 24^12 ) }
Outer automorphisms :: reflexible
Dual of E13.940
Transitivity :: ET+
Graph:: simple bipartite
	v = 20 e = 48 f = 4
	degree seq :: [ 3^16, 12^4 ]

E13.940 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {3, 12, 12})
Quotient :: loop
Aut^+ = C4 x A4 (small group id <48, 31>)
Aut   = (C2 x S4) : C2 (small group id <96, 187>)
|r| :: 2
Presentation :: [ F^2, T1^3, (F * T2)^2, (F * T1)^2, (T2^-2 * T1^-1)^2, T2^2 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1, (T2^-1, T1^-1)^2, (T2 * T1^-1)^4 ]
Map:: non-degenerate
	R = (1, 49, 3, 51, 9, 57, 25, 73, 46, 94, 31, 79, 42, 90, 19, 67, 41, 89, 38, 86, 15, 63, 5, 53)(2, 50, 6, 54, 17, 65, 39, 87, 28, 76, 10, 58, 27, 75, 32, 80, 48, 96, 44, 92, 21, 69, 7, 55)(4, 52, 11, 59, 30, 78, 47, 95, 40, 88, 18, 66, 35, 83, 13, 61, 34, 82, 45, 93, 24, 72, 12, 60)(8, 56, 22, 70, 14, 62, 36, 84, 16, 64, 26, 74, 20, 68, 43, 91, 29, 77, 37, 85, 33, 81, 23, 71)
	L = (1, 50)(2, 52)(3, 56)(4, 49)(5, 61)(6, 64)(7, 67)(8, 58)(9, 72)(10, 51)(11, 77)(12, 80)(13, 62)(14, 53)(15, 85)(16, 66)(17, 63)(18, 54)(19, 68)(20, 55)(21, 70)(22, 78)(23, 89)(24, 74)(25, 87)(26, 57)(27, 83)(28, 91)(29, 79)(30, 69)(31, 59)(32, 81)(33, 60)(34, 76)(35, 90)(36, 96)(37, 65)(38, 92)(39, 95)(40, 71)(41, 88)(42, 75)(43, 82)(44, 93)(45, 86)(46, 84)(47, 73)(48, 94)
	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 E13.939
Transitivity :: ET+ VT+ AT
Graph::
	v = 4 e = 48 f = 20
	degree seq :: [ 24^4 ]

E13.941 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 12, 12})
Quotient :: dipole
Aut^+ = C4 x A4 (small group id <48, 31>)
Aut   = (C2 x S4) : C2 (small group id <96, 187>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y1, Y3 * Y1^-2, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, Y3 * Y2^-2 * Y1^-1 * Y2^-2, Y3 * Y2^-1 * Y3 * Y2^2 * Y1^-1 * Y2^-1, Y1 * Y2 * Y1 * Y2 * Y3^-1 * Y2^-2, Y2 * Y3 * Y2^-5 * Y1^-1, Y2^-1 * Y3 * Y2 * Y1 * Y2^-1 * Y1^-1 * Y2 * Y3^-1, Y2 * Y1 * Y2^-1 * Y3^-1 * Y2^-1 * Y1^-1 * Y2 * Y3, Y2 * Y3 * Y2 * Y3 * Y2 * Y1^-1 * Y2 * Y1^-1, Y2 * Y1 * Y2^-1 * Y3 * Y2 * Y3^-1 * Y2^-1 * Y1^-1, Y3 * Y2^2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y1 * Y2 * Y3 * Y2 * Y1 * Y2 * Y3 * Y2 * Y1 * Y2 * Y3 * Y2 * Y1 * Y2 ]
Map::
	R = (1, 49, 2, 50, 4, 52)(3, 51, 8, 56, 10, 58)(5, 53, 13, 61, 14, 62)(6, 54, 16, 64, 18, 66)(7, 55, 19, 67, 20, 68)(9, 57, 24, 72, 26, 74)(11, 59, 29, 77, 31, 79)(12, 60, 32, 80, 33, 81)(15, 63, 37, 85, 17, 65)(21, 69, 22, 70, 30, 78)(23, 71, 41, 89, 40, 88)(25, 73, 39, 87, 47, 95)(27, 75, 35, 83, 42, 90)(28, 76, 43, 91, 34, 82)(36, 84, 48, 96, 46, 94)(38, 86, 44, 92, 45, 93)(97, 145, 99, 147, 105, 153, 121, 169, 142, 190, 127, 175, 138, 186, 115, 163, 137, 185, 134, 182, 111, 159, 101, 149)(98, 146, 102, 150, 113, 161, 135, 183, 124, 172, 106, 154, 123, 171, 128, 176, 144, 192, 140, 188, 117, 165, 103, 151)(100, 148, 107, 155, 126, 174, 143, 191, 136, 184, 114, 162, 131, 179, 109, 157, 130, 178, 141, 189, 120, 168, 108, 156)(104, 152, 118, 166, 110, 158, 132, 180, 112, 160, 122, 170, 116, 164, 139, 187, 125, 173, 133, 181, 129, 177, 119, 167)
	L = (1, 100)(2, 97)(3, 106)(4, 98)(5, 110)(6, 114)(7, 116)(8, 99)(9, 122)(10, 104)(11, 127)(12, 129)(13, 101)(14, 109)(15, 113)(16, 102)(17, 133)(18, 112)(19, 103)(20, 115)(21, 126)(22, 117)(23, 136)(24, 105)(25, 143)(26, 120)(27, 138)(28, 130)(29, 107)(30, 118)(31, 125)(32, 108)(33, 128)(34, 139)(35, 123)(36, 142)(37, 111)(38, 141)(39, 121)(40, 137)(41, 119)(42, 131)(43, 124)(44, 134)(45, 140)(46, 144)(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) :: { ( 2, 24, 2, 24, 2, 24 ), ( 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 E13.942
Graph:: bipartite
	v = 20 e = 96 f = 52
	degree seq :: [ 6^16, 24^4 ]

E13.942 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 12, 12})
Quotient :: dipole
Aut^+ = C4 x A4 (small group id <48, 31>)
Aut   = (C2 x S4) : C2 (small group id <96, 187>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, (Y3^-1 * Y1^-2)^2, (Y3 * Y2^-1)^3, Y1^2 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1, Y1^-2 * Y3^-1 * Y1 * Y3^-1 * Y1^-3, Y1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3^-1 * Y1 * Y3^-1, (Y3 * Y1^-1)^4, (Y3^-1, Y1^-1)^2, Y1 * Y3^2 * Y1 * Y3^-1 * Y1 * Y3 * Y1 * Y3^-1 * Y1 * Y3 * Y1 * Y3^-1 * Y1 * Y3 * Y1 * Y3^-1 ]
Map::
	R = (1, 49, 2, 50, 6, 54, 16, 64, 39, 87, 36, 84, 45, 93, 26, 74, 43, 91, 32, 80, 12, 60, 4, 52)(3, 51, 9, 57, 23, 71, 40, 88, 22, 70, 8, 56, 21, 69, 37, 85, 48, 96, 47, 95, 27, 75, 10, 58)(5, 53, 14, 62, 34, 82, 41, 89, 44, 92, 25, 73, 30, 78, 11, 59, 29, 77, 42, 90, 17, 65, 15, 63)(7, 55, 19, 67, 13, 61, 33, 81, 24, 72, 18, 66, 28, 76, 46, 94, 35, 83, 31, 79, 38, 86, 20, 68)(97, 145)(98, 146)(99, 147)(100, 148)(101, 149)(102, 150)(103, 151)(104, 152)(105, 153)(106, 154)(107, 155)(108, 156)(109, 157)(110, 158)(111, 159)(112, 160)(113, 161)(114, 162)(115, 163)(116, 164)(117, 165)(118, 166)(119, 167)(120, 168)(121, 169)(122, 170)(123, 171)(124, 172)(125, 173)(126, 174)(127, 175)(128, 176)(129, 177)(130, 178)(131, 179)(132, 180)(133, 181)(134, 182)(135, 183)(136, 184)(137, 185)(138, 186)(139, 187)(140, 188)(141, 189)(142, 190)(143, 191)(144, 192)
	L = (1, 99)(2, 103)(3, 101)(4, 107)(5, 97)(6, 113)(7, 104)(8, 98)(9, 120)(10, 122)(11, 109)(12, 127)(13, 100)(14, 131)(15, 133)(16, 136)(17, 114)(18, 102)(19, 130)(20, 139)(21, 126)(22, 142)(23, 108)(24, 121)(25, 105)(26, 124)(27, 115)(28, 106)(29, 118)(30, 141)(31, 119)(32, 143)(33, 144)(34, 123)(35, 132)(36, 110)(37, 134)(38, 111)(39, 129)(40, 137)(41, 112)(42, 128)(43, 140)(44, 116)(45, 117)(46, 125)(47, 138)(48, 135)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 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 E13.941
Graph:: simple bipartite
	v = 52 e = 96 f = 20
	degree seq :: [ 2^48, 24^4 ]

E13.943 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {3, 12, 12})
Quotient :: edge
Aut^+ = SL(2,3) : C2 (small group id <48, 33>)
Aut   = (SL(2,3) : C2) : C2 (small group id <96, 193>)
|r| :: 2
Presentation :: [ F^2, T1^3, (T2 * T1^-1)^2, (F * T1)^2, (F * T2)^2, T2^-3 * T1 * T2^3 * T1^-1, T2^3 * T1 * T2 * T1 * T2 * T1 * T2, T2^12 ]
Map:: non-degenerate
	R = (1, 3, 9, 20, 29, 42, 48, 46, 38, 26, 13, 5)(2, 6, 15, 30, 37, 45, 47, 41, 25, 32, 16, 7)(4, 10, 21, 36, 19, 35, 44, 43, 31, 39, 22, 11)(8, 17, 33, 28, 14, 27, 40, 24, 12, 23, 34, 18)(49, 50, 52)(51, 56, 55)(53, 58, 60)(54, 62, 59)(57, 67, 66)(61, 71, 73)(63, 77, 76)(64, 65, 79)(68, 78, 84)(69, 85, 72)(70, 75, 86)(74, 80, 87)(81, 90, 91)(82, 83, 89)(88, 93, 94)(92, 96, 95)
	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) :: { ( 24^3 ), ( 24^12 ) }
Outer automorphisms :: reflexible
Dual of E13.944
Transitivity :: ET+
Graph:: simple bipartite
	v = 20 e = 48 f = 4
	degree seq :: [ 3^16, 12^4 ]

E13.944 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {3, 12, 12})
Quotient :: loop
Aut^+ = SL(2,3) : C2 (small group id <48, 33>)
Aut   = (SL(2,3) : C2) : C2 (small group id <96, 193>)
|r| :: 2
Presentation :: [ F^2, T1^3, (T2 * T1^-1)^2, (F * T1)^2, (F * T2)^2, T2^-3 * T1 * T2^3 * T1^-1, T2^3 * T1 * T2 * T1 * T2 * T1 * T2, T2^12 ]
Map:: non-degenerate
	R = (1, 49, 3, 51, 9, 57, 20, 68, 29, 77, 42, 90, 48, 96, 46, 94, 38, 86, 26, 74, 13, 61, 5, 53)(2, 50, 6, 54, 15, 63, 30, 78, 37, 85, 45, 93, 47, 95, 41, 89, 25, 73, 32, 80, 16, 64, 7, 55)(4, 52, 10, 58, 21, 69, 36, 84, 19, 67, 35, 83, 44, 92, 43, 91, 31, 79, 39, 87, 22, 70, 11, 59)(8, 56, 17, 65, 33, 81, 28, 76, 14, 62, 27, 75, 40, 88, 24, 72, 12, 60, 23, 71, 34, 82, 18, 66)
	L = (1, 50)(2, 52)(3, 56)(4, 49)(5, 58)(6, 62)(7, 51)(8, 55)(9, 67)(10, 60)(11, 54)(12, 53)(13, 71)(14, 59)(15, 77)(16, 65)(17, 79)(18, 57)(19, 66)(20, 78)(21, 85)(22, 75)(23, 73)(24, 69)(25, 61)(26, 80)(27, 86)(28, 63)(29, 76)(30, 84)(31, 64)(32, 87)(33, 90)(34, 83)(35, 89)(36, 68)(37, 72)(38, 70)(39, 74)(40, 93)(41, 82)(42, 91)(43, 81)(44, 96)(45, 94)(46, 88)(47, 92)(48, 95)
	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 E13.943
Transitivity :: ET+ VT+ AT
Graph::
	v = 4 e = 48 f = 20
	degree seq :: [ 24^4 ]

E13.945 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 12, 12})
Quotient :: dipole
Aut^+ = SL(2,3) : C2 (small group id <48, 33>)
Aut   = (SL(2,3) : C2) : C2 (small group id <96, 193>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y1, Y3^-1 * Y1 * Y3^-1, (Y2^-1 * Y1)^2, (R * Y3)^2, (Y2^-1 * Y3^-1)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y2^3 * Y1 * Y2^-3 * Y1^-1, Y2^-4 * Y3^-1 * Y2^2 * Y3^-1, (Y2^-1 * R * Y2^-2)^2, Y1 * Y2^4 * Y1 * Y2 * Y3^-1 * Y2, Y3^-1 * Y2^2 * Y3^-1 * Y2^8, (Y3 * Y2^-1)^12 ]
Map::
	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, 100)(2, 97)(3, 103)(4, 98)(5, 108)(6, 107)(7, 104)(8, 99)(9, 114)(10, 101)(11, 110)(12, 106)(13, 121)(14, 102)(15, 124)(16, 127)(17, 112)(18, 115)(19, 105)(20, 132)(21, 120)(22, 134)(23, 109)(24, 133)(25, 119)(26, 135)(27, 118)(28, 125)(29, 111)(30, 116)(31, 113)(32, 122)(33, 139)(34, 137)(35, 130)(36, 126)(37, 117)(38, 123)(39, 128)(40, 142)(41, 131)(42, 129)(43, 138)(44, 143)(45, 136)(46, 141)(47, 144)(48, 140)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 2, 24, 2, 24, 2, 24 ), ( 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 E13.946
Graph:: bipartite
	v = 20 e = 96 f = 52
	degree seq :: [ 6^16, 24^4 ]

E13.946 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 12, 12})
Quotient :: dipole
Aut^+ = SL(2,3) : C2 (small group id <48, 33>)
Aut   = (SL(2,3) : C2) : C2 (small group id <96, 193>)
|r| :: 2
Presentation :: [ Y2, R^2, Y3^3, (R * Y1)^2, (Y1^-1 * Y3)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, (Y3 * Y2^-1)^3, Y1 * Y3^-1 * Y1 * Y3 * Y1 * Y3^-1 * Y1, Y3 * Y1^2 * Y3 * Y1^-4, Y3 * Y1^2 * Y3 * Y1^8 ]
Map::
	R = (1, 49, 2, 50, 6, 54, 14, 62, 27, 75, 42, 90, 48, 96, 46, 94, 38, 86, 23, 71, 11, 59, 4, 52)(3, 51, 9, 57, 19, 67, 28, 76, 37, 85, 45, 93, 47, 95, 40, 88, 24, 72, 34, 82, 18, 66, 8, 56)(5, 53, 10, 58, 21, 69, 29, 77, 15, 63, 30, 78, 43, 91, 44, 92, 33, 81, 39, 87, 26, 74, 13, 61)(7, 55, 17, 65, 32, 80, 35, 83, 20, 68, 36, 84, 41, 89, 25, 73, 12, 60, 22, 70, 31, 79, 16, 64)(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, 101)(4, 106)(5, 97)(6, 111)(7, 104)(8, 98)(9, 116)(10, 108)(11, 118)(12, 100)(13, 105)(14, 124)(15, 112)(16, 102)(17, 129)(18, 113)(19, 123)(20, 109)(21, 133)(22, 120)(23, 130)(24, 107)(25, 117)(26, 132)(27, 131)(28, 125)(29, 110)(30, 136)(31, 126)(32, 138)(33, 114)(34, 135)(35, 115)(36, 134)(37, 121)(38, 122)(39, 119)(40, 127)(41, 141)(42, 140)(43, 144)(44, 128)(45, 142)(46, 137)(47, 139)(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, 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 E13.945
Graph:: simple bipartite
	v = 52 e = 96 f = 20
	degree seq :: [ 2^48, 24^4 ]

E13.947 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 26})
Quotient :: dipole
Aut^+ = D52 (small group id <52, 4>)
Aut   = C2 x C2 x D26 (small group id <104, 13>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, Y3^2, R^2, (R * Y2)^2, (Y3 * Y2)^2, (R * Y1)^2, (Y2 * Y1)^2, (R * Y3)^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 ]
Map:: non-degenerate
	R = (1, 53, 2, 54)(3, 55, 5, 57)(4, 56, 8, 60)(6, 58, 10, 62)(7, 59, 11, 63)(9, 61, 13, 65)(12, 64, 16, 68)(14, 66, 18, 70)(15, 67, 19, 71)(17, 69, 21, 73)(20, 72, 24, 76)(22, 74, 26, 78)(23, 75, 27, 79)(25, 77, 29, 81)(28, 80, 32, 84)(30, 82, 34, 86)(31, 83, 35, 87)(33, 85, 37, 89)(36, 88, 40, 92)(38, 90, 42, 94)(39, 91, 43, 95)(41, 93, 45, 97)(44, 96, 48, 100)(46, 98, 50, 102)(47, 99, 51, 103)(49, 101, 52, 104)(105, 157, 107, 159)(106, 158, 109, 161)(108, 160, 111, 163)(110, 162, 113, 165)(112, 164, 115, 167)(114, 166, 117, 169)(116, 168, 119, 171)(118, 170, 121, 173)(120, 172, 123, 175)(122, 174, 125, 177)(124, 176, 127, 179)(126, 178, 129, 181)(128, 180, 131, 183)(130, 182, 133, 185)(132, 184, 135, 187)(134, 186, 137, 189)(136, 188, 139, 191)(138, 190, 141, 193)(140, 192, 143, 195)(142, 194, 145, 197)(144, 196, 147, 199)(146, 198, 149, 201)(148, 200, 151, 203)(150, 202, 153, 205)(152, 204, 155, 207)(154, 206, 156, 208)
	L = (1, 108)(2, 110)(3, 111)(4, 105)(5, 113)(6, 106)(7, 107)(8, 116)(9, 109)(10, 118)(11, 119)(12, 112)(13, 121)(14, 114)(15, 115)(16, 124)(17, 117)(18, 126)(19, 127)(20, 120)(21, 129)(22, 122)(23, 123)(24, 132)(25, 125)(26, 134)(27, 135)(28, 128)(29, 137)(30, 130)(31, 131)(32, 140)(33, 133)(34, 142)(35, 143)(36, 136)(37, 145)(38, 138)(39, 139)(40, 148)(41, 141)(42, 150)(43, 151)(44, 144)(45, 153)(46, 146)(47, 147)(48, 156)(49, 149)(50, 155)(51, 154)(52, 152)(53, 157)(54, 158)(55, 159)(56, 160)(57, 161)(58, 162)(59, 163)(60, 164)(61, 165)(62, 166)(63, 167)(64, 168)(65, 169)(66, 170)(67, 171)(68, 172)(69, 173)(70, 174)(71, 175)(72, 176)(73, 177)(74, 178)(75, 179)(76, 180)(77, 181)(78, 182)(79, 183)(80, 184)(81, 185)(82, 186)(83, 187)(84, 188)(85, 189)(86, 190)(87, 191)(88, 192)(89, 193)(90, 194)(91, 195)(92, 196)(93, 197)(94, 198)(95, 199)(96, 200)(97, 201)(98, 202)(99, 203)(100, 204)(101, 205)(102, 206)(103, 207)(104, 208)
	local type(s) :: { ( 4, 52, 4, 52 ) }
Outer automorphisms :: reflexible
Dual of E13.948
Graph:: simple bipartite
	v = 52 e = 104 f = 28
	degree seq :: [ 4^52 ]

E13.948 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 26})
Quotient :: dipole
Aut^+ = D52 (small group id <52, 4>)
Aut   = C2 x C2 x D26 (small group id <104, 13>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, (R * Y2)^2, (R * Y3)^2, (Y3 * Y1^-1)^2, (Y3 * Y2)^2, (Y1^-1 * Y2)^2, (R * Y1)^2, Y1^7 * Y3 * Y1^-6 * Y2, Y1^2 * Y3 * Y1^-1 * Y2 * Y1^5 * Y3 * Y2 * Y1^5 * Y3 * Y2 ]
Map:: non-degenerate
	R = (1, 53, 2, 54, 6, 58, 13, 65, 21, 73, 29, 81, 37, 89, 45, 97, 50, 102, 42, 94, 34, 86, 26, 78, 18, 70, 10, 62, 16, 68, 24, 76, 32, 84, 40, 92, 48, 100, 52, 104, 44, 96, 36, 88, 28, 80, 20, 72, 12, 64, 5, 57)(3, 55, 9, 61, 17, 69, 25, 77, 33, 85, 41, 93, 49, 101, 47, 99, 39, 91, 31, 83, 23, 75, 15, 67, 8, 60, 4, 56, 11, 63, 19, 71, 27, 79, 35, 87, 43, 95, 51, 103, 46, 98, 38, 90, 30, 82, 22, 74, 14, 66, 7, 59)(105, 157, 107, 159)(106, 158, 111, 163)(108, 160, 114, 166)(109, 161, 113, 165)(110, 162, 118, 170)(112, 164, 120, 172)(115, 167, 122, 174)(116, 168, 121, 173)(117, 169, 126, 178)(119, 171, 128, 180)(123, 175, 130, 182)(124, 176, 129, 181)(125, 177, 134, 186)(127, 179, 136, 188)(131, 183, 138, 190)(132, 184, 137, 189)(133, 185, 142, 194)(135, 187, 144, 196)(139, 191, 146, 198)(140, 192, 145, 197)(141, 193, 150, 202)(143, 195, 152, 204)(147, 199, 154, 206)(148, 200, 153, 205)(149, 201, 155, 207)(151, 203, 156, 208)
	L = (1, 108)(2, 112)(3, 114)(4, 105)(5, 115)(6, 119)(7, 120)(8, 106)(9, 122)(10, 107)(11, 109)(12, 123)(13, 127)(14, 128)(15, 110)(16, 111)(17, 130)(18, 113)(19, 116)(20, 131)(21, 135)(22, 136)(23, 117)(24, 118)(25, 138)(26, 121)(27, 124)(28, 139)(29, 143)(30, 144)(31, 125)(32, 126)(33, 146)(34, 129)(35, 132)(36, 147)(37, 151)(38, 152)(39, 133)(40, 134)(41, 154)(42, 137)(43, 140)(44, 155)(45, 153)(46, 156)(47, 141)(48, 142)(49, 149)(50, 145)(51, 148)(52, 150)(53, 157)(54, 158)(55, 159)(56, 160)(57, 161)(58, 162)(59, 163)(60, 164)(61, 165)(62, 166)(63, 167)(64, 168)(65, 169)(66, 170)(67, 171)(68, 172)(69, 173)(70, 174)(71, 175)(72, 176)(73, 177)(74, 178)(75, 179)(76, 180)(77, 181)(78, 182)(79, 183)(80, 184)(81, 185)(82, 186)(83, 187)(84, 188)(85, 189)(86, 190)(87, 191)(88, 192)(89, 193)(90, 194)(91, 195)(92, 196)(93, 197)(94, 198)(95, 199)(96, 200)(97, 201)(98, 202)(99, 203)(100, 204)(101, 205)(102, 206)(103, 207)(104, 208)
	local type(s) :: { ( 4^4 ), ( 4^52 ) }
Outer automorphisms :: reflexible
Dual of E13.947
Graph:: bipartite
	v = 28 e = 104 f = 52
	degree seq :: [ 4^26, 52^2 ]

E13.949 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {4, 4, 26})
Quotient :: edge
Aut^+ = C13 : C4 (small group id <52, 1>)
Aut   = (C26 x C2) : C2 (small group id <104, 8>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, T1^4, (F * T1)^2, T2 * T1 * T2 * T1^-1, T1^-2 * T2^13 ]
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, 50, 42, 34, 26, 18, 10, 4, 11, 19, 27, 35, 43, 51, 48, 40, 32, 24, 16, 8)(53, 54, 58, 56)(55, 60, 65, 62)(57, 59, 66, 63)(61, 68, 73, 70)(64, 67, 74, 71)(69, 76, 81, 78)(72, 75, 82, 79)(77, 84, 89, 86)(80, 83, 90, 87)(85, 92, 97, 94)(88, 91, 98, 95)(93, 100, 104, 102)(96, 99, 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) :: { ( 8^4 ), ( 8^26 ) }
Outer automorphisms :: reflexible
Dual of E13.950
Transitivity :: ET+
Graph:: bipartite
	v = 15 e = 52 f = 13
	degree seq :: [ 4^13, 26^2 ]

E13.950 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {4, 4, 26})
Quotient :: loop
Aut^+ = C13 : C4 (small group id <52, 1>)
Aut   = (C26 x C2) : C2 (small group id <104, 8>)
|r| :: 2
Presentation :: [ F^2, T2^4, T1^2 * T2^2, (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 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 ]
Map:: non-degenerate
	R = (1, 53, 3, 55, 6, 58, 5, 57)(2, 54, 7, 59, 4, 56, 8, 60)(9, 61, 13, 65, 10, 62, 14, 66)(11, 63, 15, 67, 12, 64, 16, 68)(17, 69, 21, 73, 18, 70, 22, 74)(19, 71, 23, 75, 20, 72, 24, 76)(25, 77, 29, 81, 26, 78, 30, 82)(27, 79, 31, 83, 28, 80, 32, 84)(33, 85, 37, 89, 34, 86, 38, 90)(35, 87, 39, 91, 36, 88, 40, 92)(41, 93, 45, 97, 42, 94, 46, 98)(43, 95, 47, 99, 44, 96, 48, 100)(49, 101, 51, 103, 50, 102, 52, 104)
	L = (1, 54)(2, 58)(3, 61)(4, 53)(5, 62)(6, 56)(7, 63)(8, 64)(9, 57)(10, 55)(11, 60)(12, 59)(13, 69)(14, 70)(15, 71)(16, 72)(17, 66)(18, 65)(19, 68)(20, 67)(21, 77)(22, 78)(23, 79)(24, 80)(25, 74)(26, 73)(27, 76)(28, 75)(29, 85)(30, 86)(31, 87)(32, 88)(33, 82)(34, 81)(35, 84)(36, 83)(37, 93)(38, 94)(39, 95)(40, 96)(41, 90)(42, 89)(43, 92)(44, 91)(45, 101)(46, 102)(47, 103)(48, 104)(49, 98)(50, 97)(51, 100)(52, 99)
	local type(s) :: { ( 4, 26, 4, 26, 4, 26, 4, 26 ) }
Outer automorphisms :: reflexible
Dual of E13.949
Transitivity :: ET+ VT+ AT
Graph::
	v = 13 e = 52 f = 15
	degree seq :: [ 8^13 ]

E13.951 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 26})
Quotient :: dipole
Aut^+ = C13 : C4 (small group id <52, 1>)
Aut   = (C26 x C2) : C2 (small group id <104, 8>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, (R * Y3)^2, (R * Y1)^2, Y1^-1 * Y2^-1 * Y1 * Y2^-1, Y1^4, (Y3^-1 * Y1^-1)^4, Y2^-1 * Y1 * Y2^6 * Y1 * Y2^-6, Y2^26 ]
Map::
	R = (1, 53, 2, 54, 6, 58, 4, 56)(3, 55, 8, 60, 13, 65, 10, 62)(5, 57, 7, 59, 14, 66, 11, 63)(9, 61, 16, 68, 21, 73, 18, 70)(12, 64, 15, 67, 22, 74, 19, 71)(17, 69, 24, 76, 29, 81, 26, 78)(20, 72, 23, 75, 30, 82, 27, 79)(25, 77, 32, 84, 37, 89, 34, 86)(28, 80, 31, 83, 38, 90, 35, 87)(33, 85, 40, 92, 45, 97, 42, 94)(36, 88, 39, 91, 46, 98, 43, 95)(41, 93, 48, 100, 52, 104, 50, 102)(44, 96, 47, 99, 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, 154, 206, 146, 198, 138, 190, 130, 182, 122, 174, 114, 166, 108, 160, 115, 167, 123, 175, 131, 183, 139, 191, 147, 199, 155, 207, 152, 204, 144, 196, 136, 188, 128, 180, 120, 172, 112, 164)
	L = (1, 107)(2, 111)(3, 113)(4, 115)(5, 105)(6, 117)(7, 119)(8, 106)(9, 121)(10, 108)(11, 123)(12, 109)(13, 125)(14, 110)(15, 127)(16, 112)(17, 129)(18, 114)(19, 131)(20, 116)(21, 133)(22, 118)(23, 135)(24, 120)(25, 137)(26, 122)(27, 139)(28, 124)(29, 141)(30, 126)(31, 143)(32, 128)(33, 145)(34, 130)(35, 147)(36, 132)(37, 149)(38, 134)(39, 151)(40, 136)(41, 153)(42, 138)(43, 155)(44, 140)(45, 156)(46, 142)(47, 154)(48, 144)(49, 150)(50, 146)(51, 152)(52, 148)(53, 157)(54, 158)(55, 159)(56, 160)(57, 161)(58, 162)(59, 163)(60, 164)(61, 165)(62, 166)(63, 167)(64, 168)(65, 169)(66, 170)(67, 171)(68, 172)(69, 173)(70, 174)(71, 175)(72, 176)(73, 177)(74, 178)(75, 179)(76, 180)(77, 181)(78, 182)(79, 183)(80, 184)(81, 185)(82, 186)(83, 187)(84, 188)(85, 189)(86, 190)(87, 191)(88, 192)(89, 193)(90, 194)(91, 195)(92, 196)(93, 197)(94, 198)(95, 199)(96, 200)(97, 201)(98, 202)(99, 203)(100, 204)(101, 205)(102, 206)(103, 207)(104, 208)
	local type(s) :: { ( 2, 8, 2, 8, 2, 8, 2, 8 ), ( 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 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 E13.952
Graph:: bipartite
	v = 15 e = 104 f = 65
	degree seq :: [ 8^13, 52^2 ]

E13.952 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 26})
Quotient :: dipole
Aut^+ = C13 : C4 (small group id <52, 1>)
Aut   = (C26 x C2) : C2 (small group id <104, 8>)
|r| :: 2
Presentation :: [ Y1, R^2, (R * Y3)^2, (R * Y1)^2, Y2^4, Y2^-1 * Y3^-1 * Y2 * Y3^-1, (R * Y2 * Y3^-1)^2, Y2^-2 * Y3^13, (Y3^-1 * Y1^-1)^26 ]
Map::
	R = (1, 53)(2, 54)(3, 55)(4, 56)(5, 57)(6, 58)(7, 59)(8, 60)(9, 61)(10, 62)(11, 63)(12, 64)(13, 65)(14, 66)(15, 67)(16, 68)(17, 69)(18, 70)(19, 71)(20, 72)(21, 73)(22, 74)(23, 75)(24, 76)(25, 77)(26, 78)(27, 79)(28, 80)(29, 81)(30, 82)(31, 83)(32, 84)(33, 85)(34, 86)(35, 87)(36, 88)(37, 89)(38, 90)(39, 91)(40, 92)(41, 93)(42, 94)(43, 95)(44, 96)(45, 97)(46, 98)(47, 99)(48, 100)(49, 101)(50, 102)(51, 103)(52, 104)(105, 157, 106, 158, 110, 162, 108, 160)(107, 159, 112, 164, 117, 169, 114, 166)(109, 161, 111, 163, 118, 170, 115, 167)(113, 165, 120, 172, 125, 177, 122, 174)(116, 168, 119, 171, 126, 178, 123, 175)(121, 173, 128, 180, 133, 185, 130, 182)(124, 176, 127, 179, 134, 186, 131, 183)(129, 181, 136, 188, 141, 193, 138, 190)(132, 184, 135, 187, 142, 194, 139, 191)(137, 189, 144, 196, 149, 201, 146, 198)(140, 192, 143, 195, 150, 202, 147, 199)(145, 197, 152, 204, 156, 208, 154, 206)(148, 200, 151, 203, 153, 205, 155, 207)
	L = (1, 107)(2, 111)(3, 113)(4, 115)(5, 105)(6, 117)(7, 119)(8, 106)(9, 121)(10, 108)(11, 123)(12, 109)(13, 125)(14, 110)(15, 127)(16, 112)(17, 129)(18, 114)(19, 131)(20, 116)(21, 133)(22, 118)(23, 135)(24, 120)(25, 137)(26, 122)(27, 139)(28, 124)(29, 141)(30, 126)(31, 143)(32, 128)(33, 145)(34, 130)(35, 147)(36, 132)(37, 149)(38, 134)(39, 151)(40, 136)(41, 153)(42, 138)(43, 155)(44, 140)(45, 156)(46, 142)(47, 154)(48, 144)(49, 150)(50, 146)(51, 152)(52, 148)(53, 157)(54, 158)(55, 159)(56, 160)(57, 161)(58, 162)(59, 163)(60, 164)(61, 165)(62, 166)(63, 167)(64, 168)(65, 169)(66, 170)(67, 171)(68, 172)(69, 173)(70, 174)(71, 175)(72, 176)(73, 177)(74, 178)(75, 179)(76, 180)(77, 181)(78, 182)(79, 183)(80, 184)(81, 185)(82, 186)(83, 187)(84, 188)(85, 189)(86, 190)(87, 191)(88, 192)(89, 193)(90, 194)(91, 195)(92, 196)(93, 197)(94, 198)(95, 199)(96, 200)(97, 201)(98, 202)(99, 203)(100, 204)(101, 205)(102, 206)(103, 207)(104, 208)
	local type(s) :: { ( 8, 52 ), ( 8, 52, 8, 52, 8, 52, 8, 52 ) }
Outer automorphisms :: reflexible
Dual of E13.951
Graph:: simple bipartite
	v = 65 e = 104 f = 15
	degree seq :: [ 2^52, 8^13 ]

E13.953 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 52, 52})
Quotient :: regular
Aut^+ = C52 (small group id <52, 2>)
Aut   = D104 (small group id <104, 6>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T2 * T1 * T2 * T1^-1, T2 * T1^26 ]
Map::
	R = (1, 2, 5, 9, 13, 17, 21, 25, 29, 33, 37, 41, 45, 49, 51, 47, 43, 39, 35, 31, 27, 23, 19, 15, 11, 7, 3, 6, 10, 14, 18, 22, 26, 30, 34, 38, 42, 46, 50, 52, 48, 44, 40, 36, 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, 34)(32, 35)(33, 38)(36, 39)(37, 42)(40, 43)(41, 46)(44, 47)(45, 50)(48, 51)(49, 52)
	local type(s) :: { ( 52^52 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: ET+ VT+ AT+ REG+
Graph::
	v = 1 e = 26 f = 1
	degree seq :: [ 52 ]

E13.954 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 52, 52})
Quotient :: edge
Aut^+ = C52 (small group id <52, 2>)
Aut   = D104 (small group id <104, 6>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, T2 * T1 * T2^-1 * T1, T2^26 * T1 ]
Map::
	R = (1, 3, 7, 11, 15, 19, 23, 27, 31, 35, 39, 43, 47, 51, 50, 46, 42, 38, 34, 30, 26, 22, 18, 14, 10, 6, 2, 5, 9, 13, 17, 21, 25, 29, 33, 37, 41, 45, 49, 52, 48, 44, 40, 36, 32, 28, 24, 20, 16, 12, 8, 4)(53, 54)(55, 57)(56, 58)(59, 61)(60, 62)(63, 65)(64, 66)(67, 69)(68, 70)(71, 73)(72, 74)(75, 77)(76, 78)(79, 81)(80, 82)(83, 85)(84, 86)(87, 89)(88, 90)(91, 93)(92, 94)(95, 97)(96, 98)(99, 101)(100, 102)(103, 104)
	L = (1, 53)(2, 54)(3, 55)(4, 56)(5, 57)(6, 58)(7, 59)(8, 60)(9, 61)(10, 62)(11, 63)(12, 64)(13, 65)(14, 66)(15, 67)(16, 68)(17, 69)(18, 70)(19, 71)(20, 72)(21, 73)(22, 74)(23, 75)(24, 76)(25, 77)(26, 78)(27, 79)(28, 80)(29, 81)(30, 82)(31, 83)(32, 84)(33, 85)(34, 86)(35, 87)(36, 88)(37, 89)(38, 90)(39, 91)(40, 92)(41, 93)(42, 94)(43, 95)(44, 96)(45, 97)(46, 98)(47, 99)(48, 100)(49, 101)(50, 102)(51, 103)(52, 104)
	local type(s) :: { ( 104, 104 ), ( 104^52 ) }
Outer automorphisms :: reflexible
Dual of E13.955
Transitivity :: ET+
Graph:: bipartite
	v = 27 e = 52 f = 1
	degree seq :: [ 2^26, 52 ]

E13.955 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 52, 52})
Quotient :: loop
Aut^+ = C52 (small group id <52, 2>)
Aut   = D104 (small group id <104, 6>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, T2 * T1 * T2^-1 * T1, T2^26 * T1 ]
Map::
	R = (1, 53, 3, 55, 7, 59, 11, 63, 15, 67, 19, 71, 23, 75, 27, 79, 31, 83, 35, 87, 39, 91, 43, 95, 47, 99, 51, 103, 50, 102, 46, 98, 42, 94, 38, 90, 34, 86, 30, 82, 26, 78, 22, 74, 18, 70, 14, 66, 10, 62, 6, 58, 2, 54, 5, 57, 9, 61, 13, 65, 17, 69, 21, 73, 25, 77, 29, 81, 33, 85, 37, 89, 41, 93, 45, 97, 49, 101, 52, 104, 48, 100, 44, 96, 40, 92, 36, 88, 32, 84, 28, 80, 24, 76, 20, 72, 16, 68, 12, 64, 8, 60, 4, 56)
	L = (1, 54)(2, 53)(3, 57)(4, 58)(5, 55)(6, 56)(7, 61)(8, 62)(9, 59)(10, 60)(11, 65)(12, 66)(13, 63)(14, 64)(15, 69)(16, 70)(17, 67)(18, 68)(19, 73)(20, 74)(21, 71)(22, 72)(23, 77)(24, 78)(25, 75)(26, 76)(27, 81)(28, 82)(29, 79)(30, 80)(31, 85)(32, 86)(33, 83)(34, 84)(35, 89)(36, 90)(37, 87)(38, 88)(39, 93)(40, 94)(41, 91)(42, 92)(43, 97)(44, 98)(45, 95)(46, 96)(47, 101)(48, 102)(49, 99)(50, 100)(51, 104)(52, 103)
	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 ) }
Outer automorphisms :: reflexible
Dual of E13.954
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 52 f = 27
	degree seq :: [ 104 ]

E13.956 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 52, 52})
Quotient :: dipole
Aut^+ = C52 (small group id <52, 2>)
Aut   = D104 (small group id <104, 6>)
|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, Y2^26 * Y1, (Y3 * Y2^-1)^52 ]
Map::
	R = (1, 53, 2, 54)(3, 55, 5, 57)(4, 56, 6, 58)(7, 59, 9, 61)(8, 60, 10, 62)(11, 63, 13, 65)(12, 64, 14, 66)(15, 67, 17, 69)(16, 68, 18, 70)(19, 71, 21, 73)(20, 72, 22, 74)(23, 75, 25, 77)(24, 76, 26, 78)(27, 79, 29, 81)(28, 80, 30, 82)(31, 83, 33, 85)(32, 84, 34, 86)(35, 87, 37, 89)(36, 88, 38, 90)(39, 91, 41, 93)(40, 92, 42, 94)(43, 95, 45, 97)(44, 96, 46, 98)(47, 99, 49, 101)(48, 100, 50, 102)(51, 103, 52, 104)(105, 157, 107, 159, 111, 163, 115, 167, 119, 171, 123, 175, 127, 179, 131, 183, 135, 187, 139, 191, 143, 195, 147, 199, 151, 203, 155, 207, 154, 206, 150, 202, 146, 198, 142, 194, 138, 190, 134, 186, 130, 182, 126, 178, 122, 174, 118, 170, 114, 166, 110, 162, 106, 158, 109, 161, 113, 165, 117, 169, 121, 173, 125, 177, 129, 181, 133, 185, 137, 189, 141, 193, 145, 197, 149, 201, 153, 205, 156, 208, 152, 204, 148, 200, 144, 196, 140, 192, 136, 188, 132, 184, 128, 180, 124, 176, 120, 172, 116, 168, 112, 164, 108, 160)
	L = (1, 106)(2, 105)(3, 109)(4, 110)(5, 107)(6, 108)(7, 113)(8, 114)(9, 111)(10, 112)(11, 117)(12, 118)(13, 115)(14, 116)(15, 121)(16, 122)(17, 119)(18, 120)(19, 125)(20, 126)(21, 123)(22, 124)(23, 129)(24, 130)(25, 127)(26, 128)(27, 133)(28, 134)(29, 131)(30, 132)(31, 137)(32, 138)(33, 135)(34, 136)(35, 141)(36, 142)(37, 139)(38, 140)(39, 145)(40, 146)(41, 143)(42, 144)(43, 149)(44, 150)(45, 147)(46, 148)(47, 153)(48, 154)(49, 151)(50, 152)(51, 156)(52, 155)(53, 157)(54, 158)(55, 159)(56, 160)(57, 161)(58, 162)(59, 163)(60, 164)(61, 165)(62, 166)(63, 167)(64, 168)(65, 169)(66, 170)(67, 171)(68, 172)(69, 173)(70, 174)(71, 175)(72, 176)(73, 177)(74, 178)(75, 179)(76, 180)(77, 181)(78, 182)(79, 183)(80, 184)(81, 185)(82, 186)(83, 187)(84, 188)(85, 189)(86, 190)(87, 191)(88, 192)(89, 193)(90, 194)(91, 195)(92, 196)(93, 197)(94, 198)(95, 199)(96, 200)(97, 201)(98, 202)(99, 203)(100, 204)(101, 205)(102, 206)(103, 207)(104, 208)
	local type(s) :: { ( 2, 104, 2, 104 ), ( 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 2, 104, 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 E13.957
Graph:: bipartite
	v = 27 e = 104 f = 53
	degree seq :: [ 4^26, 104 ]

E13.957 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 52, 52})
Quotient :: dipole
Aut^+ = C52 (small group id <52, 2>)
Aut   = D104 (small group id <104, 6>)
|r| :: 2
Presentation :: [ Y2, R^2, Y3^2, R * Y2 * R * Y2^-1, (R * Y1)^2, Y3 * Y1 * Y3 * Y1^-1, (R * Y3)^2, (Y3 * Y2^-1)^2, Y3 * Y1^26 ]
Map::
	R = (1, 53, 2, 54, 5, 57, 9, 61, 13, 65, 17, 69, 21, 73, 25, 77, 29, 81, 33, 85, 37, 89, 41, 93, 45, 97, 49, 101, 51, 103, 47, 99, 43, 95, 39, 91, 35, 87, 31, 83, 27, 79, 23, 75, 19, 71, 15, 67, 11, 63, 7, 59, 3, 55, 6, 58, 10, 62, 14, 66, 18, 70, 22, 74, 26, 78, 30, 82, 34, 86, 38, 90, 42, 94, 46, 98, 50, 102, 52, 104, 48, 100, 44, 96, 40, 92, 36, 88, 32, 84, 28, 80, 24, 76, 20, 72, 16, 68, 12, 64, 8, 60, 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, 110)(3, 105)(4, 111)(5, 114)(6, 106)(7, 108)(8, 115)(9, 118)(10, 109)(11, 112)(12, 119)(13, 122)(14, 113)(15, 116)(16, 123)(17, 126)(18, 117)(19, 120)(20, 127)(21, 130)(22, 121)(23, 124)(24, 131)(25, 134)(26, 125)(27, 128)(28, 135)(29, 138)(30, 129)(31, 132)(32, 139)(33, 142)(34, 133)(35, 136)(36, 143)(37, 146)(38, 137)(39, 140)(40, 147)(41, 150)(42, 141)(43, 144)(44, 151)(45, 154)(46, 145)(47, 148)(48, 155)(49, 156)(50, 149)(51, 152)(52, 153)(53, 157)(54, 158)(55, 159)(56, 160)(57, 161)(58, 162)(59, 163)(60, 164)(61, 165)(62, 166)(63, 167)(64, 168)(65, 169)(66, 170)(67, 171)(68, 172)(69, 173)(70, 174)(71, 175)(72, 176)(73, 177)(74, 178)(75, 179)(76, 180)(77, 181)(78, 182)(79, 183)(80, 184)(81, 185)(82, 186)(83, 187)(84, 188)(85, 189)(86, 190)(87, 191)(88, 192)(89, 193)(90, 194)(91, 195)(92, 196)(93, 197)(94, 198)(95, 199)(96, 200)(97, 201)(98, 202)(99, 203)(100, 204)(101, 205)(102, 206)(103, 207)(104, 208)
	local type(s) :: { ( 4, 104 ), ( 4, 104, 4, 104, 4, 104, 4, 104, 4, 104, 4, 104, 4, 104, 4, 104, 4, 104, 4, 104, 4, 104, 4, 104, 4, 104, 4, 104, 4, 104, 4, 104, 4, 104, 4, 104, 4, 104, 4, 104, 4, 104, 4, 104, 4, 104, 4, 104, 4, 104, 4, 104, 4, 104, 4, 104, 4, 104, 4, 104, 4, 104, 4, 104, 4, 104, 4, 104, 4, 104, 4, 104, 4, 104, 4, 104, 4, 104, 4, 104, 4, 104, 4, 104, 4, 104, 4, 104, 4, 104, 4, 104, 4, 104, 4, 104, 4, 104, 4, 104, 4, 104, 4, 104 ) }
Outer automorphisms :: reflexible
Dual of E13.956
Graph:: bipartite
	v = 53 e = 104 f = 27
	degree seq :: [ 2^52, 104 ]

E13.958 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 27, 54})
Quotient :: regular
Aut^+ = C54 (small group id <54, 2>)
Aut   = D108 (small group id <108, 4>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T2 * T1 * T2 * T1^-1, T2 * T1^-27 ]
Map::
	R = (1, 2, 5, 9, 13, 17, 21, 25, 29, 33, 37, 41, 45, 49, 53, 51, 47, 43, 39, 35, 31, 27, 23, 19, 15, 11, 7, 3, 6, 10, 14, 18, 22, 26, 30, 34, 38, 42, 46, 50, 54, 52, 48, 44, 40, 36, 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, 34)(32, 35)(33, 38)(36, 39)(37, 42)(40, 43)(41, 46)(44, 47)(45, 50)(48, 51)(49, 54)(52, 53)
	local type(s) :: { ( 27^54 ) }
Outer automorphisms :: reflexible
Dual of E13.959
Transitivity :: ET+ VT+ AT+ REG+
Graph::
	v = 1 e = 27 f = 2
	degree seq :: [ 54 ]

E13.959 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 27, 54})
Quotient :: regular
Aut^+ = C54 (small group id <54, 2>)
Aut   = D108 (small group id <108, 4>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T2 * T1 * T2 * T1^-1, T1^27 ]
Map::
	R = (1, 2, 5, 9, 13, 17, 21, 25, 29, 33, 37, 41, 45, 49, 52, 48, 44, 40, 36, 32, 28, 24, 20, 16, 12, 8, 4)(3, 6, 10, 14, 18, 22, 26, 30, 34, 38, 42, 46, 50, 53, 54, 51, 47, 43, 39, 35, 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, 34)(32, 35)(33, 38)(36, 39)(37, 42)(40, 43)(41, 46)(44, 47)(45, 50)(48, 51)(49, 53)(52, 54)
	local type(s) :: { ( 54^27 ) }
Outer automorphisms :: reflexible
Dual of E13.958
Transitivity :: ET+ VT+ AT+ REG+
Graph:: bipartite
	v = 2 e = 27 f = 1
	degree seq :: [ 27^2 ]

E13.960 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 27, 54})
Quotient :: edge
Aut^+ = C54 (small group id <54, 2>)
Aut   = D108 (small group id <108, 4>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, T2 * T1 * T2^-1 * T1, T2^27 ]
Map::
	R = (1, 3, 7, 11, 15, 19, 23, 27, 31, 35, 39, 43, 47, 51, 52, 48, 44, 40, 36, 32, 28, 24, 20, 16, 12, 8, 4)(2, 5, 9, 13, 17, 21, 25, 29, 33, 37, 41, 45, 49, 53, 54, 50, 46, 42, 38, 34, 30, 26, 22, 18, 14, 10, 6)(55, 56)(57, 59)(58, 60)(61, 63)(62, 64)(65, 67)(66, 68)(69, 71)(70, 72)(73, 75)(74, 76)(77, 79)(78, 80)(81, 83)(82, 84)(85, 87)(86, 88)(89, 91)(90, 92)(93, 95)(94, 96)(97, 99)(98, 100)(101, 103)(102, 104)(105, 107)(106, 108)
	L = (1, 55)(2, 56)(3, 57)(4, 58)(5, 59)(6, 60)(7, 61)(8, 62)(9, 63)(10, 64)(11, 65)(12, 66)(13, 67)(14, 68)(15, 69)(16, 70)(17, 71)(18, 72)(19, 73)(20, 74)(21, 75)(22, 76)(23, 77)(24, 78)(25, 79)(26, 80)(27, 81)(28, 82)(29, 83)(30, 84)(31, 85)(32, 86)(33, 87)(34, 88)(35, 89)(36, 90)(37, 91)(38, 92)(39, 93)(40, 94)(41, 95)(42, 96)(43, 97)(44, 98)(45, 99)(46, 100)(47, 101)(48, 102)(49, 103)(50, 104)(51, 105)(52, 106)(53, 107)(54, 108)
	local type(s) :: { ( 108, 108 ), ( 108^27 ) }
Outer automorphisms :: reflexible
Dual of E13.964
Transitivity :: ET+
Graph:: simple bipartite
	v = 29 e = 54 f = 1
	degree seq :: [ 2^27, 27^2 ]

E13.961 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 27, 54})
Quotient :: edge
Aut^+ = C54 (small group id <54, 2>)
Aut   = D108 (small group id <108, 4>)
|r| :: 2
Presentation :: [ F^2, T2^-2 * T1^-2, (F * T1)^2, (F * T2)^2, (T2^-1 * T1^-1)^2, T2^-2 * T1^25, T2^-2 * T1^11 * T2^-14 ]
Map:: non-degenerate
	R = (1, 3, 9, 13, 17, 21, 25, 29, 33, 37, 41, 45, 49, 53, 51, 48, 43, 40, 35, 32, 27, 24, 19, 16, 11, 8, 2, 7, 4, 10, 14, 18, 22, 26, 30, 34, 38, 42, 46, 50, 54, 52, 47, 44, 39, 36, 31, 28, 23, 20, 15, 12, 6, 5)(55, 56, 60, 65, 69, 73, 77, 81, 85, 89, 93, 97, 101, 105, 108, 103, 100, 95, 92, 87, 84, 79, 76, 71, 68, 63, 58)(57, 61, 59, 62, 66, 70, 74, 78, 82, 86, 90, 94, 98, 102, 106, 107, 104, 99, 96, 91, 88, 83, 80, 75, 72, 67, 64)
	L = (1, 55)(2, 56)(3, 57)(4, 58)(5, 59)(6, 60)(7, 61)(8, 62)(9, 63)(10, 64)(11, 65)(12, 66)(13, 67)(14, 68)(15, 69)(16, 70)(17, 71)(18, 72)(19, 73)(20, 74)(21, 75)(22, 76)(23, 77)(24, 78)(25, 79)(26, 80)(27, 81)(28, 82)(29, 83)(30, 84)(31, 85)(32, 86)(33, 87)(34, 88)(35, 89)(36, 90)(37, 91)(38, 92)(39, 93)(40, 94)(41, 95)(42, 96)(43, 97)(44, 98)(45, 99)(46, 100)(47, 101)(48, 102)(49, 103)(50, 104)(51, 105)(52, 106)(53, 107)(54, 108)
	local type(s) :: { ( 4^27 ), ( 4^54 ) }
Outer automorphisms :: reflexible
Dual of E13.965
Transitivity :: ET+
Graph:: bipartite
	v = 3 e = 54 f = 27
	degree seq :: [ 27^2, 54 ]

E13.962 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 27, 54})
Quotient :: edge
Aut^+ = C54 (small group id <54, 2>)
Aut   = D108 (small group id <108, 4>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T2 * T1 * T2 * T1^-1, T2 * T1^-27 ]
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, 34)(32, 35)(33, 38)(36, 39)(37, 42)(40, 43)(41, 46)(44, 47)(45, 50)(48, 51)(49, 54)(52, 53)(55, 56, 59, 63, 67, 71, 75, 79, 83, 87, 91, 95, 99, 103, 107, 105, 101, 97, 93, 89, 85, 81, 77, 73, 69, 65, 61, 57, 60, 64, 68, 72, 76, 80, 84, 88, 92, 96, 100, 104, 108, 106, 102, 98, 94, 90, 86, 82, 78, 74, 70, 66, 62, 58)
	L = (1, 55)(2, 56)(3, 57)(4, 58)(5, 59)(6, 60)(7, 61)(8, 62)(9, 63)(10, 64)(11, 65)(12, 66)(13, 67)(14, 68)(15, 69)(16, 70)(17, 71)(18, 72)(19, 73)(20, 74)(21, 75)(22, 76)(23, 77)(24, 78)(25, 79)(26, 80)(27, 81)(28, 82)(29, 83)(30, 84)(31, 85)(32, 86)(33, 87)(34, 88)(35, 89)(36, 90)(37, 91)(38, 92)(39, 93)(40, 94)(41, 95)(42, 96)(43, 97)(44, 98)(45, 99)(46, 100)(47, 101)(48, 102)(49, 103)(50, 104)(51, 105)(52, 106)(53, 107)(54, 108)
	local type(s) :: { ( 54, 54 ), ( 54^54 ) }
Outer automorphisms :: reflexible
Dual of E13.963
Transitivity :: ET+
Graph:: bipartite
	v = 28 e = 54 f = 2
	degree seq :: [ 2^27, 54 ]

E13.963 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 27, 54})
Quotient :: loop
Aut^+ = C54 (small group id <54, 2>)
Aut   = D108 (small group id <108, 4>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, T2 * T1 * T2^-1 * T1, T2^27 ]
Map::
	R = (1, 55, 3, 57, 7, 61, 11, 65, 15, 69, 19, 73, 23, 77, 27, 81, 31, 85, 35, 89, 39, 93, 43, 97, 47, 101, 51, 105, 52, 106, 48, 102, 44, 98, 40, 94, 36, 90, 32, 86, 28, 82, 24, 78, 20, 74, 16, 70, 12, 66, 8, 62, 4, 58)(2, 56, 5, 59, 9, 63, 13, 67, 17, 71, 21, 75, 25, 79, 29, 83, 33, 87, 37, 91, 41, 95, 45, 99, 49, 103, 53, 107, 54, 108, 50, 104, 46, 100, 42, 96, 38, 92, 34, 88, 30, 84, 26, 80, 22, 76, 18, 72, 14, 68, 10, 64, 6, 60)
	L = (1, 56)(2, 55)(3, 59)(4, 60)(5, 57)(6, 58)(7, 63)(8, 64)(9, 61)(10, 62)(11, 67)(12, 68)(13, 65)(14, 66)(15, 71)(16, 72)(17, 69)(18, 70)(19, 75)(20, 76)(21, 73)(22, 74)(23, 79)(24, 80)(25, 77)(26, 78)(27, 83)(28, 84)(29, 81)(30, 82)(31, 87)(32, 88)(33, 85)(34, 86)(35, 91)(36, 92)(37, 89)(38, 90)(39, 95)(40, 96)(41, 93)(42, 94)(43, 99)(44, 100)(45, 97)(46, 98)(47, 103)(48, 104)(49, 101)(50, 102)(51, 107)(52, 108)(53, 105)(54, 106)
	local type(s) :: { ( 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54 ) }
Outer automorphisms :: reflexible
Dual of E13.962
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 2 e = 54 f = 28
	degree seq :: [ 54^2 ]

E13.964 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 27, 54})
Quotient :: loop
Aut^+ = C54 (small group id <54, 2>)
Aut   = D108 (small group id <108, 4>)
|r| :: 2
Presentation :: [ F^2, T2^-2 * T1^-2, (F * T1)^2, (F * T2)^2, (T2^-1 * T1^-1)^2, T2^-2 * T1^25, T2^-2 * T1^11 * T2^-14 ]
Map::
	R = (1, 55, 3, 57, 9, 63, 13, 67, 17, 71, 21, 75, 25, 79, 29, 83, 33, 87, 37, 91, 41, 95, 45, 99, 49, 103, 53, 107, 51, 105, 48, 102, 43, 97, 40, 94, 35, 89, 32, 86, 27, 81, 24, 78, 19, 73, 16, 70, 11, 65, 8, 62, 2, 56, 7, 61, 4, 58, 10, 64, 14, 68, 18, 72, 22, 76, 26, 80, 30, 84, 34, 88, 38, 92, 42, 96, 46, 100, 50, 104, 54, 108, 52, 106, 47, 101, 44, 98, 39, 93, 36, 90, 31, 85, 28, 82, 23, 77, 20, 74, 15, 69, 12, 66, 6, 60, 5, 59)
	L = (1, 56)(2, 60)(3, 61)(4, 55)(5, 62)(6, 65)(7, 59)(8, 66)(9, 58)(10, 57)(11, 69)(12, 70)(13, 64)(14, 63)(15, 73)(16, 74)(17, 68)(18, 67)(19, 77)(20, 78)(21, 72)(22, 71)(23, 81)(24, 82)(25, 76)(26, 75)(27, 85)(28, 86)(29, 80)(30, 79)(31, 89)(32, 90)(33, 84)(34, 83)(35, 93)(36, 94)(37, 88)(38, 87)(39, 97)(40, 98)(41, 92)(42, 91)(43, 101)(44, 102)(45, 96)(46, 95)(47, 105)(48, 106)(49, 100)(50, 99)(51, 108)(52, 107)(53, 104)(54, 103)
	local type(s) :: { ( 2, 27, 2, 27, 2, 27, 2, 27, 2, 27, 2, 27, 2, 27, 2, 27, 2, 27, 2, 27, 2, 27, 2, 27, 2, 27, 2, 27, 2, 27, 2, 27, 2, 27, 2, 27, 2, 27, 2, 27, 2, 27, 2, 27, 2, 27, 2, 27, 2, 27, 2, 27, 2, 27, 2, 27, 2, 27, 2, 27, 2, 27, 2, 27, 2, 27, 2, 27, 2, 27, 2, 27, 2, 27, 2, 27, 2, 27, 2, 27, 2, 27, 2, 27, 2, 27, 2, 27, 2, 27, 2, 27, 2, 27, 2, 27, 2, 27, 2, 27, 2, 27, 2, 27, 2, 27, 2, 27 ) }
Outer automorphisms :: reflexible
Dual of E13.960
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 54 f = 29
	degree seq :: [ 108 ]

E13.965 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 27, 54})
Quotient :: loop
Aut^+ = C54 (small group id <54, 2>)
Aut   = D108 (small group id <108, 4>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T2 * T1 * T2 * T1^-1, T2 * T1^-27 ]
Map:: non-degenerate
	R = (1, 55, 3, 57)(2, 56, 6, 60)(4, 58, 7, 61)(5, 59, 10, 64)(8, 62, 11, 65)(9, 63, 14, 68)(12, 66, 15, 69)(13, 67, 18, 72)(16, 70, 19, 73)(17, 71, 22, 76)(20, 74, 23, 77)(21, 75, 26, 80)(24, 78, 27, 81)(25, 79, 30, 84)(28, 82, 31, 85)(29, 83, 34, 88)(32, 86, 35, 89)(33, 87, 38, 92)(36, 90, 39, 93)(37, 91, 42, 96)(40, 94, 43, 97)(41, 95, 46, 100)(44, 98, 47, 101)(45, 99, 50, 104)(48, 102, 51, 105)(49, 103, 54, 108)(52, 106, 53, 107)
	L = (1, 56)(2, 59)(3, 60)(4, 55)(5, 63)(6, 64)(7, 57)(8, 58)(9, 67)(10, 68)(11, 61)(12, 62)(13, 71)(14, 72)(15, 65)(16, 66)(17, 75)(18, 76)(19, 69)(20, 70)(21, 79)(22, 80)(23, 73)(24, 74)(25, 83)(26, 84)(27, 77)(28, 78)(29, 87)(30, 88)(31, 81)(32, 82)(33, 91)(34, 92)(35, 85)(36, 86)(37, 95)(38, 96)(39, 89)(40, 90)(41, 99)(42, 100)(43, 93)(44, 94)(45, 103)(46, 104)(47, 97)(48, 98)(49, 107)(50, 108)(51, 101)(52, 102)(53, 105)(54, 106)
	local type(s) :: { ( 27, 54, 27, 54 ) }
Outer automorphisms :: reflexible
Dual of E13.961
Transitivity :: ET+ VT+ AT
Graph::
	v = 27 e = 54 f = 3
	degree seq :: [ 4^27 ]

E13.966 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 27, 54})
Quotient :: dipole
Aut^+ = C54 (small group id <54, 2>)
Aut   = D108 (small group id <108, 4>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, (R * Y3)^2, (R * Y1)^2, Y2^-1 * Y1 * Y2 * Y1, (R * Y2 * Y3^-1)^2, Y2^27, (Y3 * Y2^-1)^54 ]
Map::
	R = (1, 55, 2, 56)(3, 57, 5, 59)(4, 58, 6, 60)(7, 61, 9, 63)(8, 62, 10, 64)(11, 65, 13, 67)(12, 66, 14, 68)(15, 69, 17, 71)(16, 70, 18, 72)(19, 73, 21, 75)(20, 74, 22, 76)(23, 77, 25, 79)(24, 78, 26, 80)(27, 81, 29, 83)(28, 82, 30, 84)(31, 85, 33, 87)(32, 86, 34, 88)(35, 89, 37, 91)(36, 90, 38, 92)(39, 93, 41, 95)(40, 94, 42, 96)(43, 97, 45, 99)(44, 98, 46, 100)(47, 101, 49, 103)(48, 102, 50, 104)(51, 105, 53, 107)(52, 106, 54, 108)(109, 163, 111, 165, 115, 169, 119, 173, 123, 177, 127, 181, 131, 185, 135, 189, 139, 193, 143, 197, 147, 201, 151, 205, 155, 209, 159, 213, 160, 214, 156, 210, 152, 206, 148, 202, 144, 198, 140, 194, 136, 190, 132, 186, 128, 182, 124, 178, 120, 174, 116, 170, 112, 166)(110, 164, 113, 167, 117, 171, 121, 175, 125, 179, 129, 183, 133, 187, 137, 191, 141, 195, 145, 199, 149, 203, 153, 207, 157, 211, 161, 215, 162, 216, 158, 212, 154, 208, 150, 204, 146, 200, 142, 196, 138, 192, 134, 188, 130, 184, 126, 180, 122, 176, 118, 172, 114, 168)
	L = (1, 110)(2, 109)(3, 113)(4, 114)(5, 111)(6, 112)(7, 117)(8, 118)(9, 115)(10, 116)(11, 121)(12, 122)(13, 119)(14, 120)(15, 125)(16, 126)(17, 123)(18, 124)(19, 129)(20, 130)(21, 127)(22, 128)(23, 133)(24, 134)(25, 131)(26, 132)(27, 137)(28, 138)(29, 135)(30, 136)(31, 141)(32, 142)(33, 139)(34, 140)(35, 145)(36, 146)(37, 143)(38, 144)(39, 149)(40, 150)(41, 147)(42, 148)(43, 153)(44, 154)(45, 151)(46, 152)(47, 157)(48, 158)(49, 155)(50, 156)(51, 161)(52, 162)(53, 159)(54, 160)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 2, 108, 2, 108 ), ( 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108 ) }
Outer automorphisms :: reflexible
Dual of E13.969
Graph:: bipartite
	v = 29 e = 108 f = 55
	degree seq :: [ 4^27, 54^2 ]

E13.967 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 27, 54})
Quotient :: dipole
Aut^+ = C54 (small group id <54, 2>)
Aut   = D108 (small group id <108, 4>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, (R * Y1)^2, (R * Y3)^2, (Y1, Y2^-1), (Y3^-1 * Y1^-1)^2, Y1^12 * Y2^12, Y2^16 * Y1^-11, Y1^13 * Y2^-14, Y1^27 ]
Map::
	R = (1, 55, 2, 56, 6, 60, 11, 65, 15, 69, 19, 73, 23, 77, 27, 81, 31, 85, 35, 89, 39, 93, 43, 97, 47, 101, 51, 105, 54, 108, 49, 103, 46, 100, 41, 95, 38, 92, 33, 87, 30, 84, 25, 79, 22, 76, 17, 71, 14, 68, 9, 63, 4, 58)(3, 57, 7, 61, 5, 59, 8, 62, 12, 66, 16, 70, 20, 74, 24, 78, 28, 82, 32, 86, 36, 90, 40, 94, 44, 98, 48, 102, 52, 106, 53, 107, 50, 104, 45, 99, 42, 96, 37, 91, 34, 88, 29, 83, 26, 80, 21, 75, 18, 72, 13, 67, 10, 64)(109, 163, 111, 165, 117, 171, 121, 175, 125, 179, 129, 183, 133, 187, 137, 191, 141, 195, 145, 199, 149, 203, 153, 207, 157, 211, 161, 215, 159, 213, 156, 210, 151, 205, 148, 202, 143, 197, 140, 194, 135, 189, 132, 186, 127, 181, 124, 178, 119, 173, 116, 170, 110, 164, 115, 169, 112, 166, 118, 172, 122, 176, 126, 180, 130, 184, 134, 188, 138, 192, 142, 196, 146, 200, 150, 204, 154, 208, 158, 212, 162, 216, 160, 214, 155, 209, 152, 206, 147, 201, 144, 198, 139, 193, 136, 190, 131, 185, 128, 182, 123, 177, 120, 174, 114, 168, 113, 167)
	L = (1, 111)(2, 115)(3, 117)(4, 118)(5, 109)(6, 113)(7, 112)(8, 110)(9, 121)(10, 122)(11, 116)(12, 114)(13, 125)(14, 126)(15, 120)(16, 119)(17, 129)(18, 130)(19, 124)(20, 123)(21, 133)(22, 134)(23, 128)(24, 127)(25, 137)(26, 138)(27, 132)(28, 131)(29, 141)(30, 142)(31, 136)(32, 135)(33, 145)(34, 146)(35, 140)(36, 139)(37, 149)(38, 150)(39, 144)(40, 143)(41, 153)(42, 154)(43, 148)(44, 147)(45, 157)(46, 158)(47, 152)(48, 151)(49, 161)(50, 162)(51, 156)(52, 155)(53, 159)(54, 160)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4 ), ( 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 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 E13.968
Graph:: bipartite
	v = 3 e = 108 f = 81
	degree seq :: [ 54^2, 108 ]

E13.968 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 27, 54})
Quotient :: dipole
Aut^+ = C54 (small group id <54, 2>)
Aut   = D108 (small group id <108, 4>)
|r| :: 2
Presentation :: [ Y1, Y2^2, R^2, (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, Y3^-1 * Y2 * Y3 * Y2, Y3^27 * Y2, (Y3^-1 * Y1^-1)^54 ]
Map::
	R = (1, 55)(2, 56)(3, 57)(4, 58)(5, 59)(6, 60)(7, 61)(8, 62)(9, 63)(10, 64)(11, 65)(12, 66)(13, 67)(14, 68)(15, 69)(16, 70)(17, 71)(18, 72)(19, 73)(20, 74)(21, 75)(22, 76)(23, 77)(24, 78)(25, 79)(26, 80)(27, 81)(28, 82)(29, 83)(30, 84)(31, 85)(32, 86)(33, 87)(34, 88)(35, 89)(36, 90)(37, 91)(38, 92)(39, 93)(40, 94)(41, 95)(42, 96)(43, 97)(44, 98)(45, 99)(46, 100)(47, 101)(48, 102)(49, 103)(50, 104)(51, 105)(52, 106)(53, 107)(54, 108)(109, 163, 110, 164)(111, 165, 113, 167)(112, 166, 114, 168)(115, 169, 117, 171)(116, 170, 118, 172)(119, 173, 121, 175)(120, 174, 122, 176)(123, 177, 125, 179)(124, 178, 126, 180)(127, 181, 129, 183)(128, 182, 130, 184)(131, 185, 133, 187)(132, 186, 134, 188)(135, 189, 137, 191)(136, 190, 138, 192)(139, 193, 141, 195)(140, 194, 142, 196)(143, 197, 145, 199)(144, 198, 146, 200)(147, 201, 149, 203)(148, 202, 150, 204)(151, 205, 153, 207)(152, 206, 154, 208)(155, 209, 157, 211)(156, 210, 158, 212)(159, 213, 161, 215)(160, 214, 162, 216)
	L = (1, 111)(2, 113)(3, 115)(4, 109)(5, 117)(6, 110)(7, 119)(8, 112)(9, 121)(10, 114)(11, 123)(12, 116)(13, 125)(14, 118)(15, 127)(16, 120)(17, 129)(18, 122)(19, 131)(20, 124)(21, 133)(22, 126)(23, 135)(24, 128)(25, 137)(26, 130)(27, 139)(28, 132)(29, 141)(30, 134)(31, 143)(32, 136)(33, 145)(34, 138)(35, 147)(36, 140)(37, 149)(38, 142)(39, 151)(40, 144)(41, 153)(42, 146)(43, 155)(44, 148)(45, 157)(46, 150)(47, 159)(48, 152)(49, 161)(50, 154)(51, 162)(52, 156)(53, 160)(54, 158)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 54, 108 ), ( 54, 108, 54, 108 ) }
Outer automorphisms :: reflexible
Dual of E13.967
Graph:: simple bipartite
	v = 81 e = 108 f = 3
	degree seq :: [ 2^54, 4^27 ]

E13.969 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 27, 54})
Quotient :: dipole
Aut^+ = C54 (small group id <54, 2>)
Aut   = D108 (small group id <108, 4>)
|r| :: 2
Presentation :: [ Y2, R^2, Y3^2, R * Y2 * R * Y2^-1, (R * Y1)^2, Y3 * Y1 * Y3 * Y1^-1, (R * Y3)^2, (Y3 * Y2^-1)^2, Y3 * Y1^-27 ]
Map::
	R = (1, 55, 2, 56, 5, 59, 9, 63, 13, 67, 17, 71, 21, 75, 25, 79, 29, 83, 33, 87, 37, 91, 41, 95, 45, 99, 49, 103, 53, 107, 51, 105, 47, 101, 43, 97, 39, 93, 35, 89, 31, 85, 27, 81, 23, 77, 19, 73, 15, 69, 11, 65, 7, 61, 3, 57, 6, 60, 10, 64, 14, 68, 18, 72, 22, 76, 26, 80, 30, 84, 34, 88, 38, 92, 42, 96, 46, 100, 50, 104, 54, 108, 52, 106, 48, 102, 44, 98, 40, 94, 36, 90, 32, 86, 28, 82, 24, 78, 20, 74, 16, 70, 12, 66, 8, 62, 4, 58)(109, 163)(110, 164)(111, 165)(112, 166)(113, 167)(114, 168)(115, 169)(116, 170)(117, 171)(118, 172)(119, 173)(120, 174)(121, 175)(122, 176)(123, 177)(124, 178)(125, 179)(126, 180)(127, 181)(128, 182)(129, 183)(130, 184)(131, 185)(132, 186)(133, 187)(134, 188)(135, 189)(136, 190)(137, 191)(138, 192)(139, 193)(140, 194)(141, 195)(142, 196)(143, 197)(144, 198)(145, 199)(146, 200)(147, 201)(148, 202)(149, 203)(150, 204)(151, 205)(152, 206)(153, 207)(154, 208)(155, 209)(156, 210)(157, 211)(158, 212)(159, 213)(160, 214)(161, 215)(162, 216)
	L = (1, 111)(2, 114)(3, 109)(4, 115)(5, 118)(6, 110)(7, 112)(8, 119)(9, 122)(10, 113)(11, 116)(12, 123)(13, 126)(14, 117)(15, 120)(16, 127)(17, 130)(18, 121)(19, 124)(20, 131)(21, 134)(22, 125)(23, 128)(24, 135)(25, 138)(26, 129)(27, 132)(28, 139)(29, 142)(30, 133)(31, 136)(32, 143)(33, 146)(34, 137)(35, 140)(36, 147)(37, 150)(38, 141)(39, 144)(40, 151)(41, 154)(42, 145)(43, 148)(44, 155)(45, 158)(46, 149)(47, 152)(48, 159)(49, 162)(50, 153)(51, 156)(52, 161)(53, 160)(54, 157)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 4, 54 ), ( 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54, 4, 54 ) }
Outer automorphisms :: reflexible
Dual of E13.966
Graph:: bipartite
	v = 55 e = 108 f = 29
	degree seq :: [ 2^54, 108 ]

E13.970 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 27, 54})
Quotient :: dipole
Aut^+ = C54 (small group id <54, 2>)
Aut   = D108 (small group id <108, 4>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, (R * Y3)^2, (R * Y1)^2, Y2^-1 * Y1 * Y2 * Y1, (R * Y2 * Y3^-1)^2, Y2^27 * Y1, (Y3 * Y2^-1)^27 ]
Map::
	R = (1, 55, 2, 56)(3, 57, 5, 59)(4, 58, 6, 60)(7, 61, 9, 63)(8, 62, 10, 64)(11, 65, 13, 67)(12, 66, 14, 68)(15, 69, 17, 71)(16, 70, 18, 72)(19, 73, 21, 75)(20, 74, 22, 76)(23, 77, 25, 79)(24, 78, 26, 80)(27, 81, 29, 83)(28, 82, 30, 84)(31, 85, 33, 87)(32, 86, 34, 88)(35, 89, 37, 91)(36, 90, 38, 92)(39, 93, 41, 95)(40, 94, 42, 96)(43, 97, 45, 99)(44, 98, 46, 100)(47, 101, 49, 103)(48, 102, 50, 104)(51, 105, 53, 107)(52, 106, 54, 108)(109, 163, 111, 165, 115, 169, 119, 173, 123, 177, 127, 181, 131, 185, 135, 189, 139, 193, 143, 197, 147, 201, 151, 205, 155, 209, 159, 213, 162, 216, 158, 212, 154, 208, 150, 204, 146, 200, 142, 196, 138, 192, 134, 188, 130, 184, 126, 180, 122, 176, 118, 172, 114, 168, 110, 164, 113, 167, 117, 171, 121, 175, 125, 179, 129, 183, 133, 187, 137, 191, 141, 195, 145, 199, 149, 203, 153, 207, 157, 211, 161, 215, 160, 214, 156, 210, 152, 206, 148, 202, 144, 198, 140, 194, 136, 190, 132, 186, 128, 182, 124, 178, 120, 174, 116, 170, 112, 166)
	L = (1, 110)(2, 109)(3, 113)(4, 114)(5, 111)(6, 112)(7, 117)(8, 118)(9, 115)(10, 116)(11, 121)(12, 122)(13, 119)(14, 120)(15, 125)(16, 126)(17, 123)(18, 124)(19, 129)(20, 130)(21, 127)(22, 128)(23, 133)(24, 134)(25, 131)(26, 132)(27, 137)(28, 138)(29, 135)(30, 136)(31, 141)(32, 142)(33, 139)(34, 140)(35, 145)(36, 146)(37, 143)(38, 144)(39, 149)(40, 150)(41, 147)(42, 148)(43, 153)(44, 154)(45, 151)(46, 152)(47, 157)(48, 158)(49, 155)(50, 156)(51, 161)(52, 162)(53, 159)(54, 160)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 2, 54, 2, 54 ), ( 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54 ) }
Outer automorphisms :: reflexible
Dual of E13.971
Graph:: bipartite
	v = 28 e = 108 f = 56
	degree seq :: [ 4^27, 108 ]

E13.971 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 27, 54})
Quotient :: dipole
Aut^+ = C54 (small group id <54, 2>)
Aut   = D108 (small group id <108, 4>)
|r| :: 2
Presentation :: [ Y2, R^2, Y3^-2 * Y1^-2, (R * Y1)^2, (R * Y3)^2, (Y3^-1, Y1^-1), (R * Y2 * Y3^-1)^2, Y1^11 * Y3^12 * Y1, Y1^-1 * Y3^26, Y1^27, (Y3 * Y2^-1)^54 ]
Map::
	R = (1, 55, 2, 56, 6, 60, 11, 65, 15, 69, 19, 73, 23, 77, 27, 81, 31, 85, 35, 89, 39, 93, 43, 97, 47, 101, 51, 105, 54, 108, 49, 103, 46, 100, 41, 95, 38, 92, 33, 87, 30, 84, 25, 79, 22, 76, 17, 71, 14, 68, 9, 63, 4, 58)(3, 57, 7, 61, 5, 59, 8, 62, 12, 66, 16, 70, 20, 74, 24, 78, 28, 82, 32, 86, 36, 90, 40, 94, 44, 98, 48, 102, 52, 106, 53, 107, 50, 104, 45, 99, 42, 96, 37, 91, 34, 88, 29, 83, 26, 80, 21, 75, 18, 72, 13, 67, 10, 64)(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, 113)(7, 112)(8, 110)(9, 121)(10, 122)(11, 116)(12, 114)(13, 125)(14, 126)(15, 120)(16, 119)(17, 129)(18, 130)(19, 124)(20, 123)(21, 133)(22, 134)(23, 128)(24, 127)(25, 137)(26, 138)(27, 132)(28, 131)(29, 141)(30, 142)(31, 136)(32, 135)(33, 145)(34, 146)(35, 140)(36, 139)(37, 149)(38, 150)(39, 144)(40, 143)(41, 153)(42, 154)(43, 148)(44, 147)(45, 157)(46, 158)(47, 152)(48, 151)(49, 161)(50, 162)(51, 156)(52, 155)(53, 159)(54, 160)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 4, 108 ), ( 4, 108, 4, 108, 4, 108, 4, 108, 4, 108, 4, 108, 4, 108, 4, 108, 4, 108, 4, 108, 4, 108, 4, 108, 4, 108, 4, 108, 4, 108, 4, 108, 4, 108, 4, 108, 4, 108, 4, 108, 4, 108, 4, 108, 4, 108, 4, 108, 4, 108, 4, 108, 4, 108 ) }
Outer automorphisms :: reflexible
Dual of E13.970
Graph:: simple bipartite
	v = 56 e = 108 f = 28
	degree seq :: [ 2^54, 54^2 ]

E13.972 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 2, 14})
Quotient :: halfedge^2
Aut^+ = (C14 x C2) : C2 (small group id <56, 7>)
Aut   = D8 x D14 (small group id <112, 31>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, Y3^2, R^2, R * Y3 * R * Y2, (R * Y1)^2, Y2 * Y3 * Y1 * Y3 * Y2 * Y1, (Y2 * Y1)^4, (Y3 * Y2)^7 ]
Map:: non-degenerate
	R = (1, 58, 2, 57)(3, 63, 7, 59)(4, 65, 9, 60)(5, 67, 11, 61)(6, 69, 13, 62)(8, 68, 12, 64)(10, 70, 14, 66)(15, 76, 20, 71)(16, 77, 21, 72)(17, 81, 25, 73)(18, 79, 23, 74)(19, 83, 27, 75)(22, 85, 29, 78)(24, 87, 31, 80)(26, 86, 30, 82)(28, 88, 32, 84)(33, 93, 37, 89)(34, 97, 41, 90)(35, 95, 39, 91)(36, 99, 43, 92)(38, 101, 45, 94)(40, 103, 47, 96)(42, 102, 46, 98)(44, 104, 48, 100)(49, 108, 52, 105)(50, 111, 55, 106)(51, 110, 54, 107)(53, 112, 56, 109)
	L = (1, 3)(2, 5)(4, 10)(6, 14)(7, 15)(8, 17)(9, 18)(11, 20)(12, 22)(13, 23)(16, 25)(19, 28)(21, 29)(24, 32)(26, 34)(27, 35)(30, 38)(31, 39)(33, 41)(36, 44)(37, 45)(40, 48)(42, 50)(43, 51)(46, 53)(47, 54)(49, 55)(52, 56)(57, 60)(58, 62)(59, 64)(61, 68)(63, 72)(65, 71)(66, 75)(67, 77)(69, 76)(70, 80)(73, 82)(74, 83)(78, 86)(79, 87)(81, 89)(84, 92)(85, 93)(88, 96)(90, 98)(91, 99)(94, 102)(95, 103)(97, 105)(100, 106)(101, 108)(104, 109)(107, 111)(110, 112)
	local type(s) :: { ( 28^4 ) }
Outer automorphisms :: reflexible
Dual of E13.973
Transitivity :: VT+ AT
Graph:: simple bipartite
	v = 28 e = 56 f = 4
	degree seq :: [ 4^28 ]

E13.973 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 2, 14})
Quotient :: halfedge^2
Aut^+ = (C14 x C2) : C2 (small group id <56, 7>)
Aut   = D8 x D14 (small group id <112, 31>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, R * Y3 * R * Y2, (R * Y1)^2, Y2 * Y3 * Y1^-2 * Y2 * Y3, (Y1^-1 * Y3 * Y1^-1)^2, Y3 * Y2 * Y1 * Y2 * Y3 * Y1^-1, Y3 * Y1 * Y3 * Y1 * Y2 * Y1^-1 * Y2 * Y1^-1, Y3 * Y1^4 * Y2 * Y1^-2 ]
Map:: non-degenerate
	R = (1, 58, 2, 62, 6, 74, 18, 94, 38, 90, 34, 69, 13, 81, 25, 66, 10, 78, 22, 97, 41, 93, 37, 73, 17, 61, 5, 57)(3, 65, 9, 83, 27, 105, 49, 109, 53, 99, 43, 76, 20, 70, 14, 60, 4, 68, 12, 88, 32, 98, 42, 75, 19, 67, 11, 59)(7, 77, 21, 71, 15, 91, 35, 108, 52, 110, 54, 96, 40, 82, 26, 64, 8, 80, 24, 72, 16, 92, 36, 95, 39, 79, 23, 63)(28, 100, 44, 86, 30, 102, 46, 111, 55, 107, 51, 89, 33, 104, 48, 85, 29, 101, 45, 87, 31, 103, 47, 112, 56, 106, 50, 84)
	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, 50)(36, 51)(37, 52)(41, 53)(42, 55)(47, 54)(49, 56)(57, 60)(58, 64)(59, 66)(61, 72)(62, 76)(63, 78)(65, 85)(67, 87)(68, 84)(69, 83)(70, 86)(71, 81)(73, 88)(74, 96)(75, 97)(77, 101)(79, 103)(80, 100)(82, 102)(89, 105)(90, 108)(91, 104)(92, 106)(93, 95)(94, 109)(98, 112)(99, 111)(107, 110)
	local type(s) :: { ( 4^28 ) }
Outer automorphisms :: reflexible
Dual of E13.972
Transitivity :: VT+ AT
Graph:: bipartite
	v = 4 e = 56 f = 28
	degree seq :: [ 28^4 ]

E13.974 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 2, 14})
Quotient :: edge^2
Aut^+ = (C14 x C2) : C2 (small group id <56, 7>)
Aut   = D8 x D14 (small group id <112, 31>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, Y3^2, R^2, (R * Y3)^2, R * Y1 * R * Y2, Y3 * Y2 * Y1 * Y3 * Y1 * Y2, (Y3 * Y1)^4, (Y2 * Y1)^7 ]
Map::
	R = (1, 57, 4, 60)(2, 58, 6, 62)(3, 59, 8, 64)(5, 61, 12, 68)(7, 63, 16, 72)(9, 65, 18, 74)(10, 66, 19, 75)(11, 67, 21, 77)(13, 69, 23, 79)(14, 70, 24, 80)(15, 71, 26, 82)(17, 73, 28, 84)(20, 76, 30, 86)(22, 78, 32, 88)(25, 81, 34, 90)(27, 83, 36, 92)(29, 85, 38, 94)(31, 87, 40, 96)(33, 89, 42, 98)(35, 91, 44, 100)(37, 93, 46, 102)(39, 95, 48, 104)(41, 97, 49, 105)(43, 99, 51, 107)(45, 101, 52, 108)(47, 103, 54, 110)(50, 106, 55, 111)(53, 109, 56, 112)(113, 114)(115, 119)(116, 121)(117, 123)(118, 125)(120, 129)(122, 128)(124, 134)(126, 133)(127, 137)(130, 135)(131, 140)(132, 141)(136, 144)(138, 147)(139, 146)(142, 151)(143, 150)(145, 153)(148, 156)(149, 157)(152, 160)(154, 162)(155, 161)(158, 165)(159, 164)(163, 167)(166, 168)(169, 171)(170, 173)(172, 178)(174, 182)(175, 183)(176, 181)(177, 180)(179, 188)(184, 195)(185, 194)(186, 192)(187, 191)(189, 199)(190, 198)(193, 201)(196, 204)(197, 205)(200, 208)(202, 211)(203, 210)(206, 215)(207, 214)(209, 213)(212, 219)(216, 222)(217, 221)(218, 220)(223, 224)
	L = (1, 113)(2, 114)(3, 115)(4, 116)(5, 117)(6, 118)(7, 119)(8, 120)(9, 121)(10, 122)(11, 123)(12, 124)(13, 125)(14, 126)(15, 127)(16, 128)(17, 129)(18, 130)(19, 131)(20, 132)(21, 133)(22, 134)(23, 135)(24, 136)(25, 137)(26, 138)(27, 139)(28, 140)(29, 141)(30, 142)(31, 143)(32, 144)(33, 145)(34, 146)(35, 147)(36, 148)(37, 149)(38, 150)(39, 151)(40, 152)(41, 153)(42, 154)(43, 155)(44, 156)(45, 157)(46, 158)(47, 159)(48, 160)(49, 161)(50, 162)(51, 163)(52, 164)(53, 165)(54, 166)(55, 167)(56, 168)(57, 169)(58, 170)(59, 171)(60, 172)(61, 173)(62, 174)(63, 175)(64, 176)(65, 177)(66, 178)(67, 179)(68, 180)(69, 181)(70, 182)(71, 183)(72, 184)(73, 185)(74, 186)(75, 187)(76, 188)(77, 189)(78, 190)(79, 191)(80, 192)(81, 193)(82, 194)(83, 195)(84, 196)(85, 197)(86, 198)(87, 199)(88, 200)(89, 201)(90, 202)(91, 203)(92, 204)(93, 205)(94, 206)(95, 207)(96, 208)(97, 209)(98, 210)(99, 211)(100, 212)(101, 213)(102, 214)(103, 215)(104, 216)(105, 217)(106, 218)(107, 219)(108, 220)(109, 221)(110, 222)(111, 223)(112, 224)
	local type(s) :: { ( 56, 56 ), ( 56^4 ) }
Outer automorphisms :: reflexible
Dual of E13.977
Graph:: simple bipartite
	v = 84 e = 112 f = 4
	degree seq :: [ 2^56, 4^28 ]

E13.975 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 2, 14})
Quotient :: edge^2
Aut^+ = (C14 x C2) : C2 (small group id <56, 7>)
Aut   = D8 x D14 (small group id <112, 31>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, R * Y2 * R * Y1, (R * Y3)^2, Y3^2 * Y1 * Y2 * Y1 * Y2, (Y3^-1 * Y1 * Y3^-1)^2, (Y1 * Y3^-1 * Y2)^2, (Y3^2 * Y2)^2, Y3^-3 * Y1 * Y3^2 * Y2 * Y3^-1, (Y3^-1 * Y1)^4 ]
Map::
	R = (1, 57, 4, 60, 14, 70, 34, 90, 40, 96, 20, 76, 6, 62, 19, 75, 9, 65, 27, 83, 50, 106, 37, 93, 17, 73, 5, 61)(2, 58, 7, 63, 23, 79, 45, 101, 29, 85, 11, 67, 3, 59, 10, 66, 18, 74, 38, 94, 54, 110, 48, 104, 26, 82, 8, 64)(12, 68, 30, 86, 15, 71, 35, 91, 52, 108, 33, 89, 13, 69, 32, 88, 16, 72, 36, 92, 39, 95, 55, 111, 49, 105, 31, 87)(21, 77, 41, 97, 24, 80, 46, 102, 56, 112, 44, 100, 22, 78, 43, 99, 25, 81, 47, 103, 28, 84, 51, 107, 53, 109, 42, 98)(113, 114)(115, 121)(116, 124)(117, 127)(118, 130)(119, 133)(120, 136)(122, 137)(123, 140)(125, 139)(126, 138)(128, 131)(129, 135)(132, 151)(134, 150)(141, 162)(142, 153)(143, 158)(144, 159)(145, 163)(146, 161)(147, 154)(148, 155)(149, 164)(152, 166)(156, 167)(157, 165)(160, 168)(169, 171)(170, 174)(172, 181)(173, 184)(175, 190)(176, 193)(177, 194)(178, 189)(179, 192)(180, 187)(182, 197)(183, 188)(185, 186)(191, 208)(195, 217)(196, 216)(198, 211)(199, 215)(200, 209)(201, 214)(202, 220)(203, 212)(204, 210)(205, 207)(206, 221)(213, 224)(218, 222)(219, 223)
	L = (1, 113)(2, 114)(3, 115)(4, 116)(5, 117)(6, 118)(7, 119)(8, 120)(9, 121)(10, 122)(11, 123)(12, 124)(13, 125)(14, 126)(15, 127)(16, 128)(17, 129)(18, 130)(19, 131)(20, 132)(21, 133)(22, 134)(23, 135)(24, 136)(25, 137)(26, 138)(27, 139)(28, 140)(29, 141)(30, 142)(31, 143)(32, 144)(33, 145)(34, 146)(35, 147)(36, 148)(37, 149)(38, 150)(39, 151)(40, 152)(41, 153)(42, 154)(43, 155)(44, 156)(45, 157)(46, 158)(47, 159)(48, 160)(49, 161)(50, 162)(51, 163)(52, 164)(53, 165)(54, 166)(55, 167)(56, 168)(57, 169)(58, 170)(59, 171)(60, 172)(61, 173)(62, 174)(63, 175)(64, 176)(65, 177)(66, 178)(67, 179)(68, 180)(69, 181)(70, 182)(71, 183)(72, 184)(73, 185)(74, 186)(75, 187)(76, 188)(77, 189)(78, 190)(79, 191)(80, 192)(81, 193)(82, 194)(83, 195)(84, 196)(85, 197)(86, 198)(87, 199)(88, 200)(89, 201)(90, 202)(91, 203)(92, 204)(93, 205)(94, 206)(95, 207)(96, 208)(97, 209)(98, 210)(99, 211)(100, 212)(101, 213)(102, 214)(103, 215)(104, 216)(105, 217)(106, 218)(107, 219)(108, 220)(109, 221)(110, 222)(111, 223)(112, 224)
	local type(s) :: { ( 8, 8 ), ( 8^28 ) }
Outer automorphisms :: reflexible
Dual of E13.976
Graph:: simple bipartite
	v = 60 e = 112 f = 28
	degree seq :: [ 2^56, 28^4 ]

E13.976 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 2, 14})
Quotient :: loop^2
Aut^+ = (C14 x C2) : C2 (small group id <56, 7>)
Aut   = D8 x D14 (small group id <112, 31>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, Y3^2, R^2, (R * Y3)^2, R * Y1 * R * Y2, Y3 * Y2 * Y1 * Y3 * Y1 * Y2, (Y3 * Y1)^4, (Y2 * Y1)^7 ]
Map::
	R = (1, 57, 113, 169, 4, 60, 116, 172)(2, 58, 114, 170, 6, 62, 118, 174)(3, 59, 115, 171, 8, 64, 120, 176)(5, 61, 117, 173, 12, 68, 124, 180)(7, 63, 119, 175, 16, 72, 128, 184)(9, 65, 121, 177, 18, 74, 130, 186)(10, 66, 122, 178, 19, 75, 131, 187)(11, 67, 123, 179, 21, 77, 133, 189)(13, 69, 125, 181, 23, 79, 135, 191)(14, 70, 126, 182, 24, 80, 136, 192)(15, 71, 127, 183, 26, 82, 138, 194)(17, 73, 129, 185, 28, 84, 140, 196)(20, 76, 132, 188, 30, 86, 142, 198)(22, 78, 134, 190, 32, 88, 144, 200)(25, 81, 137, 193, 34, 90, 146, 202)(27, 83, 139, 195, 36, 92, 148, 204)(29, 85, 141, 197, 38, 94, 150, 206)(31, 87, 143, 199, 40, 96, 152, 208)(33, 89, 145, 201, 42, 98, 154, 210)(35, 91, 147, 203, 44, 100, 156, 212)(37, 93, 149, 205, 46, 102, 158, 214)(39, 95, 151, 207, 48, 104, 160, 216)(41, 97, 153, 209, 49, 105, 161, 217)(43, 99, 155, 211, 51, 107, 163, 219)(45, 101, 157, 213, 52, 108, 164, 220)(47, 103, 159, 215, 54, 110, 166, 222)(50, 106, 162, 218, 55, 111, 167, 223)(53, 109, 165, 221, 56, 112, 168, 224)
	L = (1, 58)(2, 57)(3, 63)(4, 65)(5, 67)(6, 69)(7, 59)(8, 73)(9, 60)(10, 72)(11, 61)(12, 78)(13, 62)(14, 77)(15, 81)(16, 66)(17, 64)(18, 79)(19, 84)(20, 85)(21, 70)(22, 68)(23, 74)(24, 88)(25, 71)(26, 91)(27, 90)(28, 75)(29, 76)(30, 95)(31, 94)(32, 80)(33, 97)(34, 83)(35, 82)(36, 100)(37, 101)(38, 87)(39, 86)(40, 104)(41, 89)(42, 106)(43, 105)(44, 92)(45, 93)(46, 109)(47, 108)(48, 96)(49, 99)(50, 98)(51, 111)(52, 103)(53, 102)(54, 112)(55, 107)(56, 110)(113, 171)(114, 173)(115, 169)(116, 178)(117, 170)(118, 182)(119, 183)(120, 181)(121, 180)(122, 172)(123, 188)(124, 177)(125, 176)(126, 174)(127, 175)(128, 195)(129, 194)(130, 192)(131, 191)(132, 179)(133, 199)(134, 198)(135, 187)(136, 186)(137, 201)(138, 185)(139, 184)(140, 204)(141, 205)(142, 190)(143, 189)(144, 208)(145, 193)(146, 211)(147, 210)(148, 196)(149, 197)(150, 215)(151, 214)(152, 200)(153, 213)(154, 203)(155, 202)(156, 219)(157, 209)(158, 207)(159, 206)(160, 222)(161, 221)(162, 220)(163, 212)(164, 218)(165, 217)(166, 216)(167, 224)(168, 223)
	local type(s) :: { ( 2, 28, 2, 28, 2, 28, 2, 28 ) }
Outer automorphisms :: reflexible
Dual of E13.975
Transitivity :: VT+
Graph:: bipartite
	v = 28 e = 112 f = 60
	degree seq :: [ 8^28 ]

E13.977 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 2, 14})
Quotient :: loop^2
Aut^+ = (C14 x C2) : C2 (small group id <56, 7>)
Aut   = D8 x D14 (small group id <112, 31>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, R * Y2 * R * Y1, (R * Y3)^2, Y3^2 * Y1 * Y2 * Y1 * Y2, (Y3^-1 * Y1 * Y3^-1)^2, (Y1 * Y3^-1 * Y2)^2, (Y3^2 * Y2)^2, Y3^-3 * Y1 * Y3^2 * Y2 * Y3^-1, (Y3^-1 * Y1)^4 ]
Map::
	R = (1, 57, 113, 169, 4, 60, 116, 172, 14, 70, 126, 182, 34, 90, 146, 202, 40, 96, 152, 208, 20, 76, 132, 188, 6, 62, 118, 174, 19, 75, 131, 187, 9, 65, 121, 177, 27, 83, 139, 195, 50, 106, 162, 218, 37, 93, 149, 205, 17, 73, 129, 185, 5, 61, 117, 173)(2, 58, 114, 170, 7, 63, 119, 175, 23, 79, 135, 191, 45, 101, 157, 213, 29, 85, 141, 197, 11, 67, 123, 179, 3, 59, 115, 171, 10, 66, 122, 178, 18, 74, 130, 186, 38, 94, 150, 206, 54, 110, 166, 222, 48, 104, 160, 216, 26, 82, 138, 194, 8, 64, 120, 176)(12, 68, 124, 180, 30, 86, 142, 198, 15, 71, 127, 183, 35, 91, 147, 203, 52, 108, 164, 220, 33, 89, 145, 201, 13, 69, 125, 181, 32, 88, 144, 200, 16, 72, 128, 184, 36, 92, 148, 204, 39, 95, 151, 207, 55, 111, 167, 223, 49, 105, 161, 217, 31, 87, 143, 199)(21, 77, 133, 189, 41, 97, 153, 209, 24, 80, 136, 192, 46, 102, 158, 214, 56, 112, 168, 224, 44, 100, 156, 212, 22, 78, 134, 190, 43, 99, 155, 211, 25, 81, 137, 193, 47, 103, 159, 215, 28, 84, 140, 196, 51, 107, 163, 219, 53, 109, 165, 221, 42, 98, 154, 210)
	L = (1, 58)(2, 57)(3, 65)(4, 68)(5, 71)(6, 74)(7, 77)(8, 80)(9, 59)(10, 81)(11, 84)(12, 60)(13, 83)(14, 82)(15, 61)(16, 75)(17, 79)(18, 62)(19, 72)(20, 95)(21, 63)(22, 94)(23, 73)(24, 64)(25, 66)(26, 70)(27, 69)(28, 67)(29, 106)(30, 97)(31, 102)(32, 103)(33, 107)(34, 105)(35, 98)(36, 99)(37, 108)(38, 78)(39, 76)(40, 110)(41, 86)(42, 91)(43, 92)(44, 111)(45, 109)(46, 87)(47, 88)(48, 112)(49, 90)(50, 85)(51, 89)(52, 93)(53, 101)(54, 96)(55, 100)(56, 104)(113, 171)(114, 174)(115, 169)(116, 181)(117, 184)(118, 170)(119, 190)(120, 193)(121, 194)(122, 189)(123, 192)(124, 187)(125, 172)(126, 197)(127, 188)(128, 173)(129, 186)(130, 185)(131, 180)(132, 183)(133, 178)(134, 175)(135, 208)(136, 179)(137, 176)(138, 177)(139, 217)(140, 216)(141, 182)(142, 211)(143, 215)(144, 209)(145, 214)(146, 220)(147, 212)(148, 210)(149, 207)(150, 221)(151, 205)(152, 191)(153, 200)(154, 204)(155, 198)(156, 203)(157, 224)(158, 201)(159, 199)(160, 196)(161, 195)(162, 222)(163, 223)(164, 202)(165, 206)(166, 218)(167, 219)(168, 213)
	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 E13.974
Transitivity :: VT+
Graph:: bipartite
	v = 4 e = 112 f = 84
	degree seq :: [ 56^4 ]

E13.978 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 14})
Quotient :: dipole
Aut^+ = (C14 x C2) : C2 (small group id <56, 7>)
Aut   = D8 x D14 (small group id <112, 31>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^4, (R * Y1)^2, (Y2 * Y3)^2, (R * Y3)^2, Y3 * Y1 * Y2 * Y1 * Y2 * Y3, (R * Y2 * Y3^-1)^2, Y1 * Y3 * Y1 * Y2 * Y3 * Y1 * Y3 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 ]
Map:: polytopal non-degenerate
	R = (1, 57, 2, 58)(3, 59, 9, 65)(4, 60, 12, 68)(5, 61, 14, 70)(6, 62, 15, 71)(7, 63, 18, 74)(8, 64, 20, 76)(10, 66, 21, 77)(11, 67, 22, 78)(13, 69, 19, 75)(16, 72, 25, 81)(17, 73, 26, 82)(23, 79, 31, 87)(24, 80, 32, 88)(27, 83, 35, 91)(28, 84, 36, 92)(29, 85, 37, 93)(30, 86, 38, 94)(33, 89, 41, 97)(34, 90, 42, 98)(39, 95, 47, 103)(40, 96, 48, 104)(43, 99, 51, 107)(44, 100, 52, 108)(45, 101, 53, 109)(46, 102, 54, 110)(49, 105, 55, 111)(50, 106, 56, 112)(113, 169, 115, 171)(114, 170, 118, 174)(116, 172, 123, 179)(117, 173, 122, 178)(119, 175, 129, 185)(120, 176, 128, 184)(121, 177, 131, 187)(124, 180, 133, 189)(125, 181, 127, 183)(126, 182, 134, 190)(130, 186, 137, 193)(132, 188, 138, 194)(135, 191, 142, 198)(136, 192, 141, 197)(139, 195, 146, 202)(140, 196, 145, 201)(143, 199, 149, 205)(144, 200, 150, 206)(147, 203, 153, 209)(148, 204, 154, 210)(151, 207, 158, 214)(152, 208, 157, 213)(155, 211, 162, 218)(156, 212, 161, 217)(159, 215, 165, 221)(160, 216, 166, 222)(163, 219, 167, 223)(164, 220, 168, 224)
	L = (1, 116)(2, 119)(3, 122)(4, 125)(5, 113)(6, 128)(7, 131)(8, 114)(9, 129)(10, 127)(11, 115)(12, 135)(13, 117)(14, 136)(15, 123)(16, 121)(17, 118)(18, 139)(19, 120)(20, 140)(21, 141)(22, 142)(23, 126)(24, 124)(25, 145)(26, 146)(27, 132)(28, 130)(29, 134)(30, 133)(31, 151)(32, 152)(33, 138)(34, 137)(35, 155)(36, 156)(37, 157)(38, 158)(39, 144)(40, 143)(41, 161)(42, 162)(43, 148)(44, 147)(45, 150)(46, 149)(47, 167)(48, 168)(49, 154)(50, 153)(51, 165)(52, 166)(53, 164)(54, 163)(55, 160)(56, 159)(57, 169)(58, 170)(59, 171)(60, 172)(61, 173)(62, 174)(63, 175)(64, 176)(65, 177)(66, 178)(67, 179)(68, 180)(69, 181)(70, 182)(71, 183)(72, 184)(73, 185)(74, 186)(75, 187)(76, 188)(77, 189)(78, 190)(79, 191)(80, 192)(81, 193)(82, 194)(83, 195)(84, 196)(85, 197)(86, 198)(87, 199)(88, 200)(89, 201)(90, 202)(91, 203)(92, 204)(93, 205)(94, 206)(95, 207)(96, 208)(97, 209)(98, 210)(99, 211)(100, 212)(101, 213)(102, 214)(103, 215)(104, 216)(105, 217)(106, 218)(107, 219)(108, 220)(109, 221)(110, 222)(111, 223)(112, 224)
	local type(s) :: { ( 4, 28, 4, 28 ) }
Outer automorphisms :: reflexible
Dual of E13.980
Graph:: simple bipartite
	v = 56 e = 112 f = 32
	degree seq :: [ 4^56 ]

E13.979 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 14})
Quotient :: dipole
Aut^+ = (C14 x C2) : C2 (small group id <56, 7>)
Aut   = D8 x D14 (small group id <112, 31>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^4, (R * Y1)^2, (Y2 * Y3)^2, (R * Y3)^2, Y3 * Y1 * Y2 * Y1 * Y2 * Y3, (R * Y2 * Y3^-1)^2, Y3^-1 * Y1 * Y2 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y2 * Y1 * Y3 * Y1 * Y3^-1 * Y1 * Y3^-1, Y1 * Y3 * Y1 * Y2 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 ]
Map:: non-degenerate
	R = (1, 57, 2, 58)(3, 59, 9, 65)(4, 60, 12, 68)(5, 61, 14, 70)(6, 62, 15, 71)(7, 63, 18, 74)(8, 64, 20, 76)(10, 66, 21, 77)(11, 67, 22, 78)(13, 69, 19, 75)(16, 72, 25, 81)(17, 73, 26, 82)(23, 79, 31, 87)(24, 80, 32, 88)(27, 83, 35, 91)(28, 84, 36, 92)(29, 85, 37, 93)(30, 86, 38, 94)(33, 89, 41, 97)(34, 90, 42, 98)(39, 95, 47, 103)(40, 96, 48, 104)(43, 99, 51, 107)(44, 100, 52, 108)(45, 101, 53, 109)(46, 102, 54, 110)(49, 105, 56, 112)(50, 106, 55, 111)(113, 169, 115, 171)(114, 170, 118, 174)(116, 172, 123, 179)(117, 173, 122, 178)(119, 175, 129, 185)(120, 176, 128, 184)(121, 177, 131, 187)(124, 180, 133, 189)(125, 181, 127, 183)(126, 182, 134, 190)(130, 186, 137, 193)(132, 188, 138, 194)(135, 191, 142, 198)(136, 192, 141, 197)(139, 195, 146, 202)(140, 196, 145, 201)(143, 199, 149, 205)(144, 200, 150, 206)(147, 203, 153, 209)(148, 204, 154, 210)(151, 207, 158, 214)(152, 208, 157, 213)(155, 211, 162, 218)(156, 212, 161, 217)(159, 215, 165, 221)(160, 216, 166, 222)(163, 219, 168, 224)(164, 220, 167, 223)
	L = (1, 116)(2, 119)(3, 122)(4, 125)(5, 113)(6, 128)(7, 131)(8, 114)(9, 129)(10, 127)(11, 115)(12, 135)(13, 117)(14, 136)(15, 123)(16, 121)(17, 118)(18, 139)(19, 120)(20, 140)(21, 141)(22, 142)(23, 126)(24, 124)(25, 145)(26, 146)(27, 132)(28, 130)(29, 134)(30, 133)(31, 151)(32, 152)(33, 138)(34, 137)(35, 155)(36, 156)(37, 157)(38, 158)(39, 144)(40, 143)(41, 161)(42, 162)(43, 148)(44, 147)(45, 150)(46, 149)(47, 167)(48, 168)(49, 154)(50, 153)(51, 166)(52, 165)(53, 163)(54, 164)(55, 160)(56, 159)(57, 169)(58, 170)(59, 171)(60, 172)(61, 173)(62, 174)(63, 175)(64, 176)(65, 177)(66, 178)(67, 179)(68, 180)(69, 181)(70, 182)(71, 183)(72, 184)(73, 185)(74, 186)(75, 187)(76, 188)(77, 189)(78, 190)(79, 191)(80, 192)(81, 193)(82, 194)(83, 195)(84, 196)(85, 197)(86, 198)(87, 199)(88, 200)(89, 201)(90, 202)(91, 203)(92, 204)(93, 205)(94, 206)(95, 207)(96, 208)(97, 209)(98, 210)(99, 211)(100, 212)(101, 213)(102, 214)(103, 215)(104, 216)(105, 217)(106, 218)(107, 219)(108, 220)(109, 221)(110, 222)(111, 223)(112, 224)
	local type(s) :: { ( 4, 28, 4, 28 ) }
Outer automorphisms :: reflexible
Dual of E13.981
Graph:: simple bipartite
	v = 56 e = 112 f = 32
	degree seq :: [ 4^56 ]

E13.980 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 14})
Quotient :: dipole
Aut^+ = (C14 x C2) : C2 (small group id <56, 7>)
Aut   = D8 x D14 (small group id <112, 31>)
|r| :: 2
Presentation :: [ Y2^2, R^2, (Y1 * Y3^-1)^2, (R * Y1)^2, (Y3 * Y2)^2, (Y3^-1 * Y1^-1)^2, Y3^4, (R * Y3)^2, (R * Y2 * Y3^-1)^2, Y2 * Y3 * Y1^-1 * Y3^-1 * Y2 * Y1, (Y1^2 * Y2)^2, Y1^4 * Y3 * Y1^-1 * Y2 * Y1^2 ]
Map:: polytopal non-degenerate
	R = (1, 57, 2, 58, 7, 63, 20, 76, 37, 93, 46, 102, 32, 88, 12, 68, 25, 81, 41, 97, 52, 108, 36, 92, 19, 75, 5, 61)(3, 59, 11, 67, 29, 85, 45, 101, 40, 96, 22, 78, 10, 66, 4, 60, 15, 71, 33, 89, 49, 105, 42, 98, 21, 77, 13, 69)(6, 62, 18, 74, 35, 91, 51, 107, 38, 94, 26, 82, 8, 64, 24, 80, 17, 73, 34, 90, 50, 106, 39, 95, 23, 79, 9, 65)(14, 70, 27, 83, 43, 99, 53, 109, 55, 111, 48, 104, 30, 86, 16, 72, 28, 84, 44, 100, 54, 110, 56, 112, 47, 103, 31, 87)(113, 169, 115, 171)(114, 170, 120, 176)(116, 172, 126, 182)(117, 173, 129, 185)(118, 174, 124, 180)(119, 175, 133, 189)(121, 177, 139, 195)(122, 178, 137, 193)(123, 179, 142, 198)(125, 181, 140, 196)(127, 183, 144, 200)(128, 184, 136, 192)(130, 186, 143, 199)(131, 187, 141, 197)(132, 188, 150, 206)(134, 190, 155, 211)(135, 191, 153, 209)(138, 194, 156, 212)(145, 201, 159, 215)(146, 202, 160, 216)(147, 203, 158, 214)(148, 204, 162, 218)(149, 205, 161, 217)(151, 207, 165, 221)(152, 208, 164, 220)(154, 210, 166, 222)(157, 213, 167, 223)(163, 219, 168, 224)
	L = (1, 116)(2, 121)(3, 124)(4, 128)(5, 130)(6, 113)(7, 134)(8, 137)(9, 140)(10, 114)(11, 143)(12, 136)(13, 139)(14, 115)(15, 117)(16, 118)(17, 144)(18, 142)(19, 145)(20, 151)(21, 153)(22, 156)(23, 119)(24, 126)(25, 125)(26, 155)(27, 120)(28, 122)(29, 158)(30, 127)(31, 129)(32, 123)(33, 160)(34, 159)(35, 131)(36, 163)(37, 157)(38, 164)(39, 166)(40, 132)(41, 138)(42, 165)(43, 133)(44, 135)(45, 168)(46, 146)(47, 141)(48, 147)(49, 148)(50, 149)(51, 167)(52, 154)(53, 150)(54, 152)(55, 161)(56, 162)(57, 169)(58, 170)(59, 171)(60, 172)(61, 173)(62, 174)(63, 175)(64, 176)(65, 177)(66, 178)(67, 179)(68, 180)(69, 181)(70, 182)(71, 183)(72, 184)(73, 185)(74, 186)(75, 187)(76, 188)(77, 189)(78, 190)(79, 191)(80, 192)(81, 193)(82, 194)(83, 195)(84, 196)(85, 197)(86, 198)(87, 199)(88, 200)(89, 201)(90, 202)(91, 203)(92, 204)(93, 205)(94, 206)(95, 207)(96, 208)(97, 209)(98, 210)(99, 211)(100, 212)(101, 213)(102, 214)(103, 215)(104, 216)(105, 217)(106, 218)(107, 219)(108, 220)(109, 221)(110, 222)(111, 223)(112, 224)
	local type(s) :: { ( 4^4 ), ( 4^28 ) }
Outer automorphisms :: reflexible
Dual of E13.978
Graph:: simple bipartite
	v = 32 e = 112 f = 56
	degree seq :: [ 4^28, 28^4 ]

E13.981 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 14})
Quotient :: dipole
Aut^+ = (C14 x C2) : C2 (small group id <56, 7>)
Aut   = D8 x D14 (small group id <112, 31>)
|r| :: 2
Presentation :: [ Y2^2, R^2, (Y1 * Y3^-1)^2, (R * Y1)^2, (Y3 * Y2)^2, (R * Y3)^2, Y3^4, (Y3^-1 * Y1^-1)^2, (R * Y2 * Y3^-1)^2, Y2 * Y3 * Y1^-1 * Y3^-1 * Y2 * Y1, Y3^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y1^-1, (Y1^2 * Y2)^2, Y1^4 * Y3^-1 * Y1^-1 * Y2 * Y1^2 ]
Map:: non-degenerate
	R = (1, 57, 2, 58, 7, 63, 20, 76, 37, 93, 47, 103, 31, 87, 14, 70, 27, 83, 43, 99, 52, 108, 36, 92, 19, 75, 5, 61)(3, 59, 11, 67, 29, 85, 45, 101, 39, 95, 23, 79, 9, 65, 6, 62, 18, 74, 35, 91, 51, 107, 42, 98, 21, 77, 13, 69)(4, 60, 15, 71, 33, 89, 49, 105, 38, 94, 26, 82, 8, 64, 24, 80, 17, 73, 34, 90, 50, 106, 40, 96, 22, 78, 10, 66)(12, 68, 25, 81, 41, 97, 53, 109, 55, 111, 48, 104, 30, 86, 16, 72, 28, 84, 44, 100, 54, 110, 56, 112, 46, 102, 32, 88)(113, 169, 115, 171)(114, 170, 120, 176)(116, 172, 126, 182)(117, 173, 129, 185)(118, 174, 124, 180)(119, 175, 133, 189)(121, 177, 139, 195)(122, 178, 137, 193)(123, 179, 142, 198)(125, 181, 140, 196)(127, 183, 144, 200)(128, 184, 136, 192)(130, 186, 143, 199)(131, 187, 141, 197)(132, 188, 150, 206)(134, 190, 155, 211)(135, 191, 153, 209)(138, 194, 156, 212)(145, 201, 159, 215)(146, 202, 160, 216)(147, 203, 158, 214)(148, 204, 162, 218)(149, 205, 163, 219)(151, 207, 164, 220)(152, 208, 165, 221)(154, 210, 166, 222)(157, 213, 167, 223)(161, 217, 168, 224)
	L = (1, 116)(2, 121)(3, 124)(4, 128)(5, 130)(6, 113)(7, 134)(8, 137)(9, 140)(10, 114)(11, 143)(12, 136)(13, 139)(14, 115)(15, 117)(16, 118)(17, 144)(18, 142)(19, 145)(20, 151)(21, 153)(22, 156)(23, 119)(24, 126)(25, 125)(26, 155)(27, 120)(28, 122)(29, 158)(30, 127)(31, 129)(32, 123)(33, 160)(34, 159)(35, 131)(36, 163)(37, 162)(38, 165)(39, 166)(40, 132)(41, 138)(42, 164)(43, 133)(44, 135)(45, 149)(46, 146)(47, 141)(48, 147)(49, 148)(50, 168)(51, 167)(52, 150)(53, 154)(54, 152)(55, 161)(56, 157)(57, 169)(58, 170)(59, 171)(60, 172)(61, 173)(62, 174)(63, 175)(64, 176)(65, 177)(66, 178)(67, 179)(68, 180)(69, 181)(70, 182)(71, 183)(72, 184)(73, 185)(74, 186)(75, 187)(76, 188)(77, 189)(78, 190)(79, 191)(80, 192)(81, 193)(82, 194)(83, 195)(84, 196)(85, 197)(86, 198)(87, 199)(88, 200)(89, 201)(90, 202)(91, 203)(92, 204)(93, 205)(94, 206)(95, 207)(96, 208)(97, 209)(98, 210)(99, 211)(100, 212)(101, 213)(102, 214)(103, 215)(104, 216)(105, 217)(106, 218)(107, 219)(108, 220)(109, 221)(110, 222)(111, 223)(112, 224)
	local type(s) :: { ( 4^4 ), ( 4^28 ) }
Outer automorphisms :: reflexible
Dual of E13.979
Graph:: bipartite
	v = 32 e = 112 f = 56
	degree seq :: [ 4^28, 28^4 ]

E13.982 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 14})
Quotient :: dipole
Aut^+ = C2 x C2 x D14 (small group id <56, 12>)
Aut   = C2 x C2 x C2 x D14 (small group id <112, 42>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, Y3^2, R^2, (R * Y2)^2, (Y3 * Y2)^2, (R * Y1)^2, (Y2 * Y1)^2, (R * Y3)^2, (Y3 * Y1)^14 ]
Map:: polytopal non-degenerate
	R = (1, 57, 2, 58)(3, 59, 5, 61)(4, 60, 8, 64)(6, 62, 10, 66)(7, 63, 11, 67)(9, 65, 13, 69)(12, 68, 16, 72)(14, 70, 18, 74)(15, 71, 19, 75)(17, 73, 21, 77)(20, 76, 24, 80)(22, 78, 26, 82)(23, 79, 27, 83)(25, 81, 44, 100)(28, 84, 41, 97)(29, 85, 52, 108)(30, 86, 53, 109)(31, 87, 54, 110)(32, 88, 47, 103)(33, 89, 55, 111)(34, 90, 46, 102)(35, 91, 49, 105)(36, 92, 56, 112)(37, 93, 48, 104)(38, 94, 51, 107)(39, 95, 50, 106)(40, 96, 42, 98)(43, 99, 45, 101)(113, 169, 115, 171)(114, 170, 117, 173)(116, 172, 119, 175)(118, 174, 121, 177)(120, 176, 123, 179)(122, 178, 125, 181)(124, 180, 127, 183)(126, 182, 129, 185)(128, 184, 131, 187)(130, 186, 133, 189)(132, 188, 135, 191)(134, 190, 137, 193)(136, 192, 139, 195)(138, 194, 156, 212)(140, 196, 163, 219)(141, 197, 143, 199)(142, 198, 145, 201)(144, 200, 147, 203)(146, 202, 149, 205)(148, 204, 151, 207)(150, 206, 153, 209)(152, 208, 155, 211)(154, 210, 157, 213)(158, 214, 160, 216)(159, 215, 161, 217)(162, 218, 168, 224)(164, 220, 166, 222)(165, 221, 167, 223)
	L = (1, 116)(2, 118)(3, 119)(4, 113)(5, 121)(6, 114)(7, 115)(8, 124)(9, 117)(10, 126)(11, 127)(12, 120)(13, 129)(14, 122)(15, 123)(16, 132)(17, 125)(18, 134)(19, 135)(20, 128)(21, 137)(22, 130)(23, 131)(24, 140)(25, 133)(26, 162)(27, 163)(28, 136)(29, 158)(30, 159)(31, 160)(32, 154)(33, 161)(34, 152)(35, 157)(36, 164)(37, 155)(38, 165)(39, 166)(40, 146)(41, 167)(42, 144)(43, 149)(44, 168)(45, 147)(46, 141)(47, 142)(48, 143)(49, 145)(50, 138)(51, 139)(52, 148)(53, 150)(54, 151)(55, 153)(56, 156)(57, 169)(58, 170)(59, 171)(60, 172)(61, 173)(62, 174)(63, 175)(64, 176)(65, 177)(66, 178)(67, 179)(68, 180)(69, 181)(70, 182)(71, 183)(72, 184)(73, 185)(74, 186)(75, 187)(76, 188)(77, 189)(78, 190)(79, 191)(80, 192)(81, 193)(82, 194)(83, 195)(84, 196)(85, 197)(86, 198)(87, 199)(88, 200)(89, 201)(90, 202)(91, 203)(92, 204)(93, 205)(94, 206)(95, 207)(96, 208)(97, 209)(98, 210)(99, 211)(100, 212)(101, 213)(102, 214)(103, 215)(104, 216)(105, 217)(106, 218)(107, 219)(108, 220)(109, 221)(110, 222)(111, 223)(112, 224)
	local type(s) :: { ( 4, 28, 4, 28 ) }
Outer automorphisms :: reflexible
Dual of E13.983
Graph:: simple bipartite
	v = 56 e = 112 f = 32
	degree seq :: [ 4^56 ]

E13.983 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 14})
Quotient :: dipole
Aut^+ = C2 x C2 x D14 (small group id <56, 12>)
Aut   = C2 x C2 x C2 x D14 (small group id <112, 42>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, (R * Y2)^2, (R * Y3)^2, (Y3 * Y1^-1)^2, (Y3 * Y2)^2, (Y1^-1 * Y2)^2, (R * Y1)^2, Y1^14 ]
Map:: polytopal non-degenerate
	R = (1, 57, 2, 58, 6, 62, 13, 69, 21, 77, 29, 85, 37, 93, 45, 101, 44, 100, 36, 92, 28, 84, 20, 76, 12, 68, 5, 61)(3, 59, 9, 65, 17, 73, 25, 81, 33, 89, 41, 97, 49, 105, 52, 108, 46, 102, 38, 94, 30, 86, 22, 78, 14, 70, 7, 63)(4, 60, 11, 67, 19, 75, 27, 83, 35, 91, 43, 99, 51, 107, 53, 109, 47, 103, 39, 95, 31, 87, 23, 79, 15, 71, 8, 64)(10, 66, 16, 72, 24, 80, 32, 88, 40, 96, 48, 104, 54, 110, 56, 112, 55, 111, 50, 106, 42, 98, 34, 90, 26, 82, 18, 74)(113, 169, 115, 171)(114, 170, 119, 175)(116, 172, 122, 178)(117, 173, 121, 177)(118, 174, 126, 182)(120, 176, 128, 184)(123, 179, 130, 186)(124, 180, 129, 185)(125, 181, 134, 190)(127, 183, 136, 192)(131, 187, 138, 194)(132, 188, 137, 193)(133, 189, 142, 198)(135, 191, 144, 200)(139, 195, 146, 202)(140, 196, 145, 201)(141, 197, 150, 206)(143, 199, 152, 208)(147, 203, 154, 210)(148, 204, 153, 209)(149, 205, 158, 214)(151, 207, 160, 216)(155, 211, 162, 218)(156, 212, 161, 217)(157, 213, 164, 220)(159, 215, 166, 222)(163, 219, 167, 223)(165, 221, 168, 224)
	L = (1, 116)(2, 120)(3, 122)(4, 113)(5, 123)(6, 127)(7, 128)(8, 114)(9, 130)(10, 115)(11, 117)(12, 131)(13, 135)(14, 136)(15, 118)(16, 119)(17, 138)(18, 121)(19, 124)(20, 139)(21, 143)(22, 144)(23, 125)(24, 126)(25, 146)(26, 129)(27, 132)(28, 147)(29, 151)(30, 152)(31, 133)(32, 134)(33, 154)(34, 137)(35, 140)(36, 155)(37, 159)(38, 160)(39, 141)(40, 142)(41, 162)(42, 145)(43, 148)(44, 163)(45, 165)(46, 166)(47, 149)(48, 150)(49, 167)(50, 153)(51, 156)(52, 168)(53, 157)(54, 158)(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) :: { ( 4^4 ), ( 4^28 ) }
Outer automorphisms :: reflexible
Dual of E13.982
Graph:: simple bipartite
	v = 32 e = 112 f = 56
	degree seq :: [ 4^28, 28^4 ]

E13.984 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {4, 4, 14})
Quotient :: edge
Aut^+ = C2 x (C7 : C4) (small group id <56, 6>)
Aut   = C2 x ((C14 x C2) : C2) (small group id <112, 36>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, T1^4, T2 * T1 * T2 * 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, 11, 19, 27, 35, 43, 51, 55, 50, 42, 34, 26, 18, 10)(6, 13, 21, 29, 37, 45, 52, 56, 53, 46, 38, 30, 22, 14)(57, 58, 62, 60)(59, 64, 69, 66)(61, 63, 70, 67)(65, 72, 77, 74)(68, 71, 78, 75)(73, 80, 85, 82)(76, 79, 86, 83)(81, 88, 93, 90)(84, 87, 94, 91)(89, 96, 101, 98)(92, 95, 102, 99)(97, 104, 108, 106)(100, 103, 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) :: { ( 8^4 ), ( 8^14 ) }
Outer automorphisms :: reflexible
Dual of E13.985
Transitivity :: ET+
Graph:: simple bipartite
	v = 18 e = 56 f = 14
	degree seq :: [ 4^14, 14^4 ]

E13.985 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {4, 4, 14})
Quotient :: loop
Aut^+ = C2 x (C7 : C4) (small group id <56, 6>)
Aut   = C2 x ((C14 x C2) : C2) (small group id <112, 36>)
|r| :: 2
Presentation :: [ F^2, T2^-2 * T1^-2, T2^-2 * T1^2, (F * T2)^2, (F * T1)^2, T2^4, (T2 * T1)^14 ]
Map:: non-degenerate
	R = (1, 57, 3, 59, 6, 62, 5, 61)(2, 58, 7, 63, 4, 60, 8, 64)(9, 65, 13, 69, 10, 66, 14, 70)(11, 67, 15, 71, 12, 68, 16, 72)(17, 73, 21, 77, 18, 74, 22, 78)(19, 75, 23, 79, 20, 76, 24, 80)(25, 81, 29, 85, 26, 82, 30, 86)(27, 83, 31, 87, 28, 84, 32, 88)(33, 89, 37, 93, 34, 90, 38, 94)(35, 91, 39, 95, 36, 92, 40, 96)(41, 97, 45, 101, 42, 98, 46, 102)(43, 99, 47, 103, 44, 100, 48, 104)(49, 105, 53, 109, 50, 106, 54, 110)(51, 107, 55, 111, 52, 108, 56, 112)
	L = (1, 58)(2, 62)(3, 65)(4, 57)(5, 66)(6, 60)(7, 67)(8, 68)(9, 61)(10, 59)(11, 64)(12, 63)(13, 73)(14, 74)(15, 75)(16, 76)(17, 70)(18, 69)(19, 72)(20, 71)(21, 81)(22, 82)(23, 83)(24, 84)(25, 78)(26, 77)(27, 80)(28, 79)(29, 89)(30, 90)(31, 91)(32, 92)(33, 86)(34, 85)(35, 88)(36, 87)(37, 97)(38, 98)(39, 99)(40, 100)(41, 94)(42, 93)(43, 96)(44, 95)(45, 105)(46, 106)(47, 107)(48, 108)(49, 102)(50, 101)(51, 104)(52, 103)(53, 111)(54, 112)(55, 110)(56, 109)
	local type(s) :: { ( 4, 14, 4, 14, 4, 14, 4, 14 ) }
Outer automorphisms :: reflexible
Dual of E13.984
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 14 e = 56 f = 18
	degree seq :: [ 8^14 ]

E13.986 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 14})
Quotient :: dipole
Aut^+ = C2 x (C7 : C4) (small group id <56, 6>)
Aut   = C2 x ((C14 x C2) : C2) (small group id <112, 36>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, (R * Y3)^2, (R * Y1)^2, Y1^-1 * Y2^-1 * Y1 * Y2^-1, Y1^4, (Y3^-1 * Y1^-1)^4, Y2^14 ]
Map::
	R = (1, 57, 2, 58, 6, 62, 4, 60)(3, 59, 8, 64, 13, 69, 10, 66)(5, 61, 7, 63, 14, 70, 11, 67)(9, 65, 16, 72, 21, 77, 18, 74)(12, 68, 15, 71, 22, 78, 19, 75)(17, 73, 24, 80, 29, 85, 26, 82)(20, 76, 23, 79, 30, 86, 27, 83)(25, 81, 32, 88, 37, 93, 34, 90)(28, 84, 31, 87, 38, 94, 35, 91)(33, 89, 40, 96, 45, 101, 42, 98)(36, 92, 39, 95, 46, 102, 43, 99)(41, 97, 48, 104, 52, 108, 50, 106)(44, 100, 47, 103, 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, 123, 179, 131, 187, 139, 195, 147, 203, 155, 211, 163, 219, 167, 223, 162, 218, 154, 210, 146, 202, 138, 194, 130, 186, 122, 178)(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, 115)(2, 119)(3, 121)(4, 123)(5, 113)(6, 125)(7, 127)(8, 114)(9, 129)(10, 116)(11, 131)(12, 117)(13, 133)(14, 118)(15, 135)(16, 120)(17, 137)(18, 122)(19, 139)(20, 124)(21, 141)(22, 126)(23, 143)(24, 128)(25, 145)(26, 130)(27, 147)(28, 132)(29, 149)(30, 134)(31, 151)(32, 136)(33, 153)(34, 138)(35, 155)(36, 140)(37, 157)(38, 142)(39, 159)(40, 144)(41, 161)(42, 146)(43, 163)(44, 148)(45, 164)(46, 150)(47, 166)(48, 152)(49, 156)(50, 154)(51, 167)(52, 168)(53, 158)(54, 160)(55, 162)(56, 165)(57, 169)(58, 170)(59, 171)(60, 172)(61, 173)(62, 174)(63, 175)(64, 176)(65, 177)(66, 178)(67, 179)(68, 180)(69, 181)(70, 182)(71, 183)(72, 184)(73, 185)(74, 186)(75, 187)(76, 188)(77, 189)(78, 190)(79, 191)(80, 192)(81, 193)(82, 194)(83, 195)(84, 196)(85, 197)(86, 198)(87, 199)(88, 200)(89, 201)(90, 202)(91, 203)(92, 204)(93, 205)(94, 206)(95, 207)(96, 208)(97, 209)(98, 210)(99, 211)(100, 212)(101, 213)(102, 214)(103, 215)(104, 216)(105, 217)(106, 218)(107, 219)(108, 220)(109, 221)(110, 222)(111, 223)(112, 224)
	local type(s) :: { ( 2, 8, 2, 8, 2, 8, 2, 8 ), ( 2, 8, 2, 8, 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 E13.987
Graph:: bipartite
	v = 18 e = 112 f = 70
	degree seq :: [ 8^14, 28^4 ]

E13.987 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 14})
Quotient :: dipole
Aut^+ = C2 x (C7 : C4) (small group id <56, 6>)
Aut   = C2 x ((C14 x C2) : C2) (small group id <112, 36>)
|r| :: 2
Presentation :: [ Y1, R^2, (R * Y3)^2, (R * Y1)^2, Y2^4, Y2^-1 * Y3^-1 * Y2 * Y3^-1, (R * Y2 * Y3^-1)^2, Y3^6 * Y2 * Y3^-8 * Y2^-1, (Y3^-1 * Y1^-1)^14 ]
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, 120, 176, 125, 181, 122, 178)(117, 173, 119, 175, 126, 182, 123, 179)(121, 177, 128, 184, 133, 189, 130, 186)(124, 180, 127, 183, 134, 190, 131, 187)(129, 185, 136, 192, 141, 197, 138, 194)(132, 188, 135, 191, 142, 198, 139, 195)(137, 193, 144, 200, 149, 205, 146, 202)(140, 196, 143, 199, 150, 206, 147, 203)(145, 201, 152, 208, 157, 213, 154, 210)(148, 204, 151, 207, 158, 214, 155, 211)(153, 209, 160, 216, 164, 220, 162, 218)(156, 212, 159, 215, 165, 221, 163, 219)(161, 217, 166, 222, 168, 224, 167, 223)
	L = (1, 115)(2, 119)(3, 121)(4, 123)(5, 113)(6, 125)(7, 127)(8, 114)(9, 129)(10, 116)(11, 131)(12, 117)(13, 133)(14, 118)(15, 135)(16, 120)(17, 137)(18, 122)(19, 139)(20, 124)(21, 141)(22, 126)(23, 143)(24, 128)(25, 145)(26, 130)(27, 147)(28, 132)(29, 149)(30, 134)(31, 151)(32, 136)(33, 153)(34, 138)(35, 155)(36, 140)(37, 157)(38, 142)(39, 159)(40, 144)(41, 161)(42, 146)(43, 163)(44, 148)(45, 164)(46, 150)(47, 166)(48, 152)(49, 156)(50, 154)(51, 167)(52, 168)(53, 158)(54, 160)(55, 162)(56, 165)(57, 169)(58, 170)(59, 171)(60, 172)(61, 173)(62, 174)(63, 175)(64, 176)(65, 177)(66, 178)(67, 179)(68, 180)(69, 181)(70, 182)(71, 183)(72, 184)(73, 185)(74, 186)(75, 187)(76, 188)(77, 189)(78, 190)(79, 191)(80, 192)(81, 193)(82, 194)(83, 195)(84, 196)(85, 197)(86, 198)(87, 199)(88, 200)(89, 201)(90, 202)(91, 203)(92, 204)(93, 205)(94, 206)(95, 207)(96, 208)(97, 209)(98, 210)(99, 211)(100, 212)(101, 213)(102, 214)(103, 215)(104, 216)(105, 217)(106, 218)(107, 219)(108, 220)(109, 221)(110, 222)(111, 223)(112, 224)
	local type(s) :: { ( 8, 28 ), ( 8, 28, 8, 28, 8, 28, 8, 28 ) }
Outer automorphisms :: reflexible
Dual of E13.986
Graph:: simple bipartite
	v = 70 e = 112 f = 18
	degree seq :: [ 2^56, 8^14 ]

E13.988 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 28, 28})
Quotient :: regular
Aut^+ = C28 x C2 (small group id <56, 8>)
Aut   = C2 x D56 (small group id <112, 29>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T2 * T1 * T2 * T1^-1, T1^28 ]
Map::
	R = (1, 2, 5, 9, 13, 17, 21, 25, 29, 30, 32, 35, 37, 39, 41, 43, 46, 47, 49, 52, 54, 28, 24, 20, 16, 12, 8, 4)(3, 6, 10, 14, 18, 22, 26, 34, 31, 33, 36, 38, 40, 42, 44, 51, 48, 50, 53, 55, 56, 45, 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, 34)(28, 45)(29, 31)(30, 33)(32, 36)(35, 38)(37, 40)(39, 42)(41, 44)(43, 51)(46, 48)(47, 50)(49, 53)(52, 55)(54, 56)
	local type(s) :: { ( 28^28 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: ET+ VT+ AT+ REG+
Graph:: bipartite
	v = 2 e = 28 f = 2
	degree seq :: [ 28^2 ]

E13.989 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 28, 28})
Quotient :: edge
Aut^+ = C28 x C2 (small group id <56, 8>)
Aut   = C2 x D56 (small group id <112, 29>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, T2 * T1 * T2^-1 * T1, T2^28 ]
Map::
	R = (1, 3, 7, 11, 15, 19, 23, 27, 38, 34, 30, 33, 37, 41, 43, 45, 47, 56, 54, 52, 50, 28, 24, 20, 16, 12, 8, 4)(2, 5, 9, 13, 17, 21, 25, 40, 36, 32, 29, 31, 35, 39, 42, 44, 46, 48, 55, 53, 51, 49, 26, 22, 18, 14, 10, 6)(57, 58)(59, 61)(60, 62)(63, 65)(64, 66)(67, 69)(68, 70)(71, 73)(72, 74)(75, 77)(76, 78)(79, 81)(80, 82)(83, 96)(84, 105)(85, 86)(87, 89)(88, 90)(91, 93)(92, 94)(95, 97)(98, 99)(100, 101)(102, 103)(104, 112)(106, 107)(108, 109)(110, 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, 56 ), ( 56^28 ) }
Outer automorphisms :: reflexible
Dual of E13.990
Transitivity :: ET+
Graph:: simple bipartite
	v = 30 e = 56 f = 2
	degree seq :: [ 2^28, 28^2 ]

E13.990 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 28, 28})
Quotient :: loop
Aut^+ = C28 x C2 (small group id <56, 8>)
Aut   = C2 x D56 (small group id <112, 29>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, T2 * T1 * T2^-1 * T1, T2^28 ]
Map::
	R = (1, 57, 3, 59, 7, 63, 11, 67, 15, 71, 19, 75, 23, 79, 27, 83, 34, 90, 30, 86, 33, 89, 37, 93, 39, 95, 41, 97, 43, 99, 45, 101, 55, 111, 51, 107, 48, 104, 50, 106, 54, 110, 28, 84, 24, 80, 20, 76, 16, 72, 12, 68, 8, 64, 4, 60)(2, 58, 5, 61, 9, 65, 13, 69, 17, 73, 21, 77, 25, 81, 36, 92, 32, 88, 29, 85, 31, 87, 35, 91, 38, 94, 40, 96, 42, 98, 44, 100, 46, 102, 53, 109, 49, 105, 52, 108, 56, 112, 47, 103, 26, 82, 22, 78, 18, 74, 14, 70, 10, 66, 6, 62)
	L = (1, 58)(2, 57)(3, 61)(4, 62)(5, 59)(6, 60)(7, 65)(8, 66)(9, 63)(10, 64)(11, 69)(12, 70)(13, 67)(14, 68)(15, 73)(16, 74)(17, 71)(18, 72)(19, 77)(20, 78)(21, 75)(22, 76)(23, 81)(24, 82)(25, 79)(26, 80)(27, 92)(28, 103)(29, 86)(30, 85)(31, 89)(32, 90)(33, 87)(34, 88)(35, 93)(36, 83)(37, 91)(38, 95)(39, 94)(40, 97)(41, 96)(42, 99)(43, 98)(44, 101)(45, 100)(46, 111)(47, 84)(48, 105)(49, 104)(50, 108)(51, 109)(52, 106)(53, 107)(54, 112)(55, 102)(56, 110)
	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 E13.989
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 2 e = 56 f = 30
	degree seq :: [ 56^2 ]

E13.991 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 28, 28})
Quotient :: dipole
Aut^+ = C28 x C2 (small group id <56, 8>)
Aut   = C2 x D56 (small group id <112, 29>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, (R * Y3)^2, (R * Y1)^2, Y2^-1 * Y1 * Y2 * Y1, (R * Y2 * Y3^-1)^2, Y2^28, (Y3 * Y2^-1)^28 ]
Map::
	R = (1, 57, 2, 58)(3, 59, 5, 61)(4, 60, 6, 62)(7, 63, 9, 65)(8, 64, 10, 66)(11, 67, 13, 69)(12, 68, 14, 70)(15, 71, 17, 73)(16, 72, 18, 74)(19, 75, 21, 77)(20, 76, 22, 78)(23, 79, 25, 81)(24, 80, 26, 82)(27, 83, 29, 85)(28, 84, 43, 99)(30, 86, 31, 87)(32, 88, 33, 89)(34, 90, 35, 91)(36, 92, 37, 93)(38, 94, 39, 95)(40, 96, 41, 97)(42, 98, 44, 100)(45, 101, 46, 102)(47, 103, 48, 104)(49, 105, 50, 106)(51, 107, 52, 108)(53, 109, 54, 110)(55, 111, 56, 112)(113, 169, 115, 171, 119, 175, 123, 179, 127, 183, 131, 187, 135, 191, 139, 195, 143, 199, 145, 201, 147, 203, 149, 205, 151, 207, 153, 209, 156, 212, 157, 213, 159, 215, 161, 217, 163, 219, 165, 221, 167, 223, 140, 196, 136, 192, 132, 188, 128, 184, 124, 180, 120, 176, 116, 172)(114, 170, 117, 173, 121, 177, 125, 181, 129, 185, 133, 189, 137, 193, 141, 197, 142, 198, 144, 200, 146, 202, 148, 204, 150, 206, 152, 208, 154, 210, 158, 214, 160, 216, 162, 218, 164, 220, 166, 222, 168, 224, 155, 211, 138, 194, 134, 190, 130, 186, 126, 182, 122, 178, 118, 174)
	L = (1, 114)(2, 113)(3, 117)(4, 118)(5, 115)(6, 116)(7, 121)(8, 122)(9, 119)(10, 120)(11, 125)(12, 126)(13, 123)(14, 124)(15, 129)(16, 130)(17, 127)(18, 128)(19, 133)(20, 134)(21, 131)(22, 132)(23, 137)(24, 138)(25, 135)(26, 136)(27, 141)(28, 155)(29, 139)(30, 143)(31, 142)(32, 145)(33, 144)(34, 147)(35, 146)(36, 149)(37, 148)(38, 151)(39, 150)(40, 153)(41, 152)(42, 156)(43, 140)(44, 154)(45, 158)(46, 157)(47, 160)(48, 159)(49, 162)(50, 161)(51, 164)(52, 163)(53, 166)(54, 165)(55, 168)(56, 167)(57, 169)(58, 170)(59, 171)(60, 172)(61, 173)(62, 174)(63, 175)(64, 176)(65, 177)(66, 178)(67, 179)(68, 180)(69, 181)(70, 182)(71, 183)(72, 184)(73, 185)(74, 186)(75, 187)(76, 188)(77, 189)(78, 190)(79, 191)(80, 192)(81, 193)(82, 194)(83, 195)(84, 196)(85, 197)(86, 198)(87, 199)(88, 200)(89, 201)(90, 202)(91, 203)(92, 204)(93, 205)(94, 206)(95, 207)(96, 208)(97, 209)(98, 210)(99, 211)(100, 212)(101, 213)(102, 214)(103, 215)(104, 216)(105, 217)(106, 218)(107, 219)(108, 220)(109, 221)(110, 222)(111, 223)(112, 224)
	local type(s) :: { ( 2, 56, 2, 56 ), ( 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 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 E13.992
Graph:: bipartite
	v = 30 e = 112 f = 58
	degree seq :: [ 4^28, 56^2 ]

E13.992 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 28, 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 * Y1)^2, (R * Y3)^2, (Y3 * Y2^-1)^2, (Y3^-1, Y1^-1), (R * Y2 * Y3^-1)^2, Y3^-28, Y1^28 ]
Map::
	R = (1, 57, 2, 58, 5, 61, 9, 65, 13, 69, 17, 73, 21, 77, 25, 81, 29, 85, 30, 86, 32, 88, 35, 91, 37, 93, 39, 95, 41, 97, 43, 99, 46, 102, 47, 103, 49, 105, 52, 108, 54, 110, 28, 84, 24, 80, 20, 76, 16, 72, 12, 68, 8, 64, 4, 60)(3, 59, 6, 62, 10, 66, 14, 70, 18, 74, 22, 78, 26, 82, 34, 90, 31, 87, 33, 89, 36, 92, 38, 94, 40, 96, 42, 98, 44, 100, 51, 107, 48, 104, 50, 106, 53, 109, 55, 111, 56, 112, 45, 101, 27, 83, 23, 79, 19, 75, 15, 71, 11, 67, 7, 63)(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, 118)(3, 113)(4, 119)(5, 122)(6, 114)(7, 116)(8, 123)(9, 126)(10, 117)(11, 120)(12, 127)(13, 130)(14, 121)(15, 124)(16, 131)(17, 134)(18, 125)(19, 128)(20, 135)(21, 138)(22, 129)(23, 132)(24, 139)(25, 146)(26, 133)(27, 136)(28, 157)(29, 143)(30, 145)(31, 141)(32, 148)(33, 142)(34, 137)(35, 150)(36, 144)(37, 152)(38, 147)(39, 154)(40, 149)(41, 156)(42, 151)(43, 163)(44, 153)(45, 140)(46, 160)(47, 162)(48, 158)(49, 165)(50, 159)(51, 155)(52, 167)(53, 161)(54, 168)(55, 164)(56, 166)(57, 169)(58, 170)(59, 171)(60, 172)(61, 173)(62, 174)(63, 175)(64, 176)(65, 177)(66, 178)(67, 179)(68, 180)(69, 181)(70, 182)(71, 183)(72, 184)(73, 185)(74, 186)(75, 187)(76, 188)(77, 189)(78, 190)(79, 191)(80, 192)(81, 193)(82, 194)(83, 195)(84, 196)(85, 197)(86, 198)(87, 199)(88, 200)(89, 201)(90, 202)(91, 203)(92, 204)(93, 205)(94, 206)(95, 207)(96, 208)(97, 209)(98, 210)(99, 211)(100, 212)(101, 213)(102, 214)(103, 215)(104, 216)(105, 217)(106, 218)(107, 219)(108, 220)(109, 221)(110, 222)(111, 223)(112, 224)
	local type(s) :: { ( 4, 56 ), ( 4, 56, 4, 56, 4, 56, 4, 56, 4, 56, 4, 56, 4, 56, 4, 56, 4, 56, 4, 56, 4, 56, 4, 56, 4, 56, 4, 56, 4, 56, 4, 56, 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 E13.991
Graph:: simple bipartite
	v = 58 e = 112 f = 30
	degree seq :: [ 2^56, 56^2 ]

E13.993 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 2, 10})
Quotient :: halfedge^2
Aut^+ = S3 x D10 (small group id <60, 8>)
Aut   = C2 x S3 x D10 (small group id <120, 42>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, Y3^2, R^2, R * Y3 * R * Y2, (R * Y1)^2, Y3 * Y1 * Y3 * Y2 * Y1 * Y2, (Y3 * Y2)^5, Y3 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y3 * Y1, (Y3 * Y1)^6 ]
Map:: non-degenerate
	R = (1, 62, 2, 61)(3, 67, 7, 63)(4, 69, 9, 64)(5, 71, 11, 65)(6, 73, 13, 66)(8, 72, 12, 68)(10, 74, 14, 70)(15, 85, 25, 75)(16, 86, 26, 76)(17, 87, 27, 77)(18, 89, 29, 78)(19, 90, 30, 79)(20, 92, 32, 80)(21, 93, 33, 81)(22, 94, 34, 82)(23, 96, 36, 83)(24, 97, 37, 84)(28, 95, 35, 88)(31, 98, 38, 91)(39, 106, 46, 99)(40, 107, 47, 100)(41, 108, 48, 101)(42, 113, 53, 102)(43, 114, 54, 103)(44, 111, 51, 104)(45, 115, 55, 105)(49, 116, 56, 109)(50, 117, 57, 110)(52, 118, 58, 112)(59, 120, 60, 119)
	L = (1, 3)(2, 5)(4, 10)(6, 14)(7, 15)(8, 17)(9, 18)(11, 20)(12, 22)(13, 23)(16, 27)(19, 31)(21, 34)(24, 38)(25, 39)(26, 41)(28, 43)(29, 40)(30, 45)(32, 46)(33, 48)(35, 50)(36, 47)(37, 52)(42, 54)(44, 55)(49, 57)(51, 58)(53, 59)(56, 60)(61, 64)(62, 66)(63, 68)(65, 72)(67, 76)(69, 75)(70, 79)(71, 81)(73, 80)(74, 84)(77, 88)(78, 90)(82, 95)(83, 97)(85, 100)(86, 99)(87, 102)(89, 104)(91, 103)(92, 107)(93, 106)(94, 109)(96, 111)(98, 110)(101, 113)(105, 114)(108, 116)(112, 117)(115, 119)(118, 120)
	local type(s) :: { ( 20^4 ) }
Outer automorphisms :: reflexible
Dual of E13.994
Transitivity :: VT+ AT
Graph:: simple bipartite
	v = 30 e = 60 f = 6
	degree seq :: [ 4^30 ]

E13.994 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 2, 10})
Quotient :: halfedge^2
Aut^+ = S3 x D10 (small group id <60, 8>)
Aut   = C2 x S3 x D10 (small group id <120, 42>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, R * Y3 * R * Y2, (R * Y1)^2, (Y3 * Y1^-1 * Y2)^2, Y1^-1 * Y3 * Y2 * Y1^-3, Y1^-1 * Y3 * Y1^2 * Y2 * Y1^-1, Y1^-1 * Y2 * Y3 * Y2 * Y3 * Y1^-1, (Y1^-1 * Y2 * Y1^-1)^2, Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1^-1 * Y2 * Y1^-1, Y2 * Y1^-1 * Y3 * Y1 * Y2 * Y1^-1 * Y3 * Y1 * Y3 * Y1^-1 * Y2 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 62, 2, 66, 6, 78, 18, 73, 13, 85, 25, 70, 10, 82, 22, 77, 17, 65, 5, 61)(3, 69, 9, 87, 27, 95, 35, 80, 20, 74, 14, 64, 4, 72, 12, 79, 19, 71, 11, 63)(7, 81, 21, 75, 15, 93, 33, 94, 34, 86, 26, 68, 8, 84, 24, 76, 16, 83, 23, 67)(28, 101, 41, 90, 30, 105, 45, 92, 32, 104, 44, 89, 29, 103, 43, 91, 31, 102, 42, 88)(36, 106, 46, 98, 38, 110, 50, 100, 40, 109, 49, 97, 37, 108, 48, 99, 39, 107, 47, 96)(51, 118, 58, 113, 53, 120, 60, 115, 55, 117, 57, 112, 52, 119, 59, 114, 54, 116, 56, 111)
	L = (1, 3)(2, 7)(4, 13)(5, 15)(6, 19)(8, 25)(9, 28)(10, 20)(11, 30)(12, 32)(14, 29)(16, 18)(17, 27)(21, 36)(22, 34)(23, 38)(24, 40)(26, 37)(31, 35)(33, 39)(41, 51)(42, 53)(43, 55)(44, 52)(45, 54)(46, 56)(47, 58)(48, 60)(49, 57)(50, 59)(61, 64)(62, 68)(63, 70)(65, 76)(66, 80)(67, 82)(69, 89)(71, 91)(72, 88)(73, 87)(74, 90)(75, 85)(77, 79)(78, 94)(81, 97)(83, 99)(84, 96)(86, 98)(92, 95)(93, 100)(101, 112)(102, 114)(103, 111)(104, 113)(105, 115)(106, 117)(107, 119)(108, 116)(109, 118)(110, 120)
	local type(s) :: { ( 4^20 ) }
Outer automorphisms :: reflexible
Dual of E13.993
Transitivity :: VT+ AT
Graph:: bipartite
	v = 6 e = 60 f = 30
	degree seq :: [ 20^6 ]

E13.995 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 2, 10})
Quotient :: edge^2
Aut^+ = S3 x D10 (small group id <60, 8>)
Aut   = C2 x S3 x D10 (small group id <120, 42>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, Y3^2, R^2, (R * Y3)^2, R * Y1 * R * Y2, Y2 * Y3 * Y2 * Y1 * Y3 * Y1, (Y2 * Y1)^5, Y3 * Y2 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y2 ]
Map::
	R = (1, 61, 4, 64)(2, 62, 6, 66)(3, 63, 8, 68)(5, 65, 12, 72)(7, 67, 16, 76)(9, 69, 18, 78)(10, 70, 19, 79)(11, 71, 21, 81)(13, 73, 23, 83)(14, 74, 24, 84)(15, 75, 26, 86)(17, 77, 28, 88)(20, 80, 33, 93)(22, 82, 35, 95)(25, 85, 39, 99)(27, 87, 41, 101)(29, 89, 43, 103)(30, 90, 44, 104)(31, 91, 45, 105)(32, 92, 46, 106)(34, 94, 48, 108)(36, 96, 50, 110)(37, 97, 51, 111)(38, 98, 52, 112)(40, 100, 53, 113)(42, 102, 55, 115)(47, 107, 56, 116)(49, 109, 58, 118)(54, 114, 59, 119)(57, 117, 60, 120)(121, 122)(123, 127)(124, 129)(125, 131)(126, 133)(128, 137)(130, 136)(132, 142)(134, 141)(135, 145)(138, 149)(139, 151)(140, 152)(143, 156)(144, 158)(146, 160)(147, 159)(148, 157)(150, 155)(153, 167)(154, 166)(161, 174)(162, 173)(163, 170)(164, 172)(165, 171)(168, 177)(169, 176)(175, 179)(178, 180)(181, 183)(182, 185)(184, 190)(186, 194)(187, 195)(188, 193)(189, 192)(191, 200)(196, 207)(197, 206)(198, 210)(199, 209)(201, 214)(202, 213)(203, 217)(204, 216)(205, 212)(208, 222)(211, 221)(215, 229)(218, 228)(219, 227)(220, 226)(223, 231)(224, 230)(225, 235)(232, 238)(233, 237)(234, 236)(239, 240)
	L = (1, 121)(2, 122)(3, 123)(4, 124)(5, 125)(6, 126)(7, 127)(8, 128)(9, 129)(10, 130)(11, 131)(12, 132)(13, 133)(14, 134)(15, 135)(16, 136)(17, 137)(18, 138)(19, 139)(20, 140)(21, 141)(22, 142)(23, 143)(24, 144)(25, 145)(26, 146)(27, 147)(28, 148)(29, 149)(30, 150)(31, 151)(32, 152)(33, 153)(34, 154)(35, 155)(36, 156)(37, 157)(38, 158)(39, 159)(40, 160)(41, 161)(42, 162)(43, 163)(44, 164)(45, 165)(46, 166)(47, 167)(48, 168)(49, 169)(50, 170)(51, 171)(52, 172)(53, 173)(54, 174)(55, 175)(56, 176)(57, 177)(58, 178)(59, 179)(60, 180)(61, 181)(62, 182)(63, 183)(64, 184)(65, 185)(66, 186)(67, 187)(68, 188)(69, 189)(70, 190)(71, 191)(72, 192)(73, 193)(74, 194)(75, 195)(76, 196)(77, 197)(78, 198)(79, 199)(80, 200)(81, 201)(82, 202)(83, 203)(84, 204)(85, 205)(86, 206)(87, 207)(88, 208)(89, 209)(90, 210)(91, 211)(92, 212)(93, 213)(94, 214)(95, 215)(96, 216)(97, 217)(98, 218)(99, 219)(100, 220)(101, 221)(102, 222)(103, 223)(104, 224)(105, 225)(106, 226)(107, 227)(108, 228)(109, 229)(110, 230)(111, 231)(112, 232)(113, 233)(114, 234)(115, 235)(116, 236)(117, 237)(118, 238)(119, 239)(120, 240)
	local type(s) :: { ( 40, 40 ), ( 40^4 ) }
Outer automorphisms :: reflexible
Dual of E13.998
Graph:: simple bipartite
	v = 90 e = 120 f = 6
	degree seq :: [ 2^60, 4^30 ]

E13.996 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 2, 10})
Quotient :: edge^2
Aut^+ = S3 x D10 (small group id <60, 8>)
Aut   = C2 x S3 x D10 (small group id <120, 42>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, R * Y2 * R * Y1, (R * Y3)^2, Y3^-1 * Y1 * Y3^2 * Y2 * Y3^-1, Y1 * Y2 * Y1 * Y3^-2 * Y2, Y3^-3 * Y1 * Y2 * Y3^-1, (Y3^2 * Y1)^2, Y2 * Y3 * Y2 * Y1 * Y3^-1 * Y1, Y3^-1 * Y1 * Y3^-1 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 ]
Map::
	R = (1, 61, 4, 64, 14, 74, 20, 80, 6, 66, 19, 79, 9, 69, 27, 87, 17, 77, 5, 65)(2, 62, 7, 67, 23, 83, 11, 71, 3, 63, 10, 70, 18, 78, 34, 94, 26, 86, 8, 68)(12, 72, 29, 89, 15, 75, 32, 92, 13, 73, 31, 91, 16, 76, 33, 93, 35, 95, 30, 90)(21, 81, 36, 96, 24, 84, 39, 99, 22, 82, 38, 98, 25, 85, 40, 100, 28, 88, 37, 97)(41, 101, 51, 111, 43, 103, 54, 114, 42, 102, 53, 113, 44, 104, 55, 115, 45, 105, 52, 112)(46, 106, 56, 116, 48, 108, 59, 119, 47, 107, 58, 118, 49, 109, 60, 120, 50, 110, 57, 117)(121, 122)(123, 129)(124, 132)(125, 135)(126, 138)(127, 141)(128, 144)(130, 145)(131, 148)(133, 147)(134, 146)(136, 139)(137, 143)(140, 155)(142, 154)(149, 161)(150, 163)(151, 164)(152, 165)(153, 162)(156, 166)(157, 168)(158, 169)(159, 170)(160, 167)(171, 177)(172, 176)(173, 178)(174, 180)(175, 179)(181, 183)(182, 186)(184, 193)(185, 196)(187, 202)(188, 205)(189, 206)(190, 201)(191, 204)(192, 199)(194, 203)(195, 200)(197, 198)(207, 215)(208, 214)(209, 222)(210, 224)(211, 221)(212, 223)(213, 225)(216, 227)(217, 229)(218, 226)(219, 228)(220, 230)(231, 239)(232, 238)(233, 237)(234, 236)(235, 240)
	L = (1, 121)(2, 122)(3, 123)(4, 124)(5, 125)(6, 126)(7, 127)(8, 128)(9, 129)(10, 130)(11, 131)(12, 132)(13, 133)(14, 134)(15, 135)(16, 136)(17, 137)(18, 138)(19, 139)(20, 140)(21, 141)(22, 142)(23, 143)(24, 144)(25, 145)(26, 146)(27, 147)(28, 148)(29, 149)(30, 150)(31, 151)(32, 152)(33, 153)(34, 154)(35, 155)(36, 156)(37, 157)(38, 158)(39, 159)(40, 160)(41, 161)(42, 162)(43, 163)(44, 164)(45, 165)(46, 166)(47, 167)(48, 168)(49, 169)(50, 170)(51, 171)(52, 172)(53, 173)(54, 174)(55, 175)(56, 176)(57, 177)(58, 178)(59, 179)(60, 180)(61, 181)(62, 182)(63, 183)(64, 184)(65, 185)(66, 186)(67, 187)(68, 188)(69, 189)(70, 190)(71, 191)(72, 192)(73, 193)(74, 194)(75, 195)(76, 196)(77, 197)(78, 198)(79, 199)(80, 200)(81, 201)(82, 202)(83, 203)(84, 204)(85, 205)(86, 206)(87, 207)(88, 208)(89, 209)(90, 210)(91, 211)(92, 212)(93, 213)(94, 214)(95, 215)(96, 216)(97, 217)(98, 218)(99, 219)(100, 220)(101, 221)(102, 222)(103, 223)(104, 224)(105, 225)(106, 226)(107, 227)(108, 228)(109, 229)(110, 230)(111, 231)(112, 232)(113, 233)(114, 234)(115, 235)(116, 236)(117, 237)(118, 238)(119, 239)(120, 240)
	local type(s) :: { ( 8, 8 ), ( 8^20 ) }
Outer automorphisms :: reflexible
Dual of E13.997
Graph:: simple bipartite
	v = 66 e = 120 f = 30
	degree seq :: [ 2^60, 20^6 ]

E13.997 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 2, 10})
Quotient :: loop^2
Aut^+ = S3 x D10 (small group id <60, 8>)
Aut   = C2 x S3 x D10 (small group id <120, 42>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, Y3^2, R^2, (R * Y3)^2, R * Y1 * R * Y2, Y2 * Y3 * Y2 * Y1 * Y3 * Y1, (Y2 * Y1)^5, Y3 * Y2 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y2 ]
Map::
	R = (1, 61, 121, 181, 4, 64, 124, 184)(2, 62, 122, 182, 6, 66, 126, 186)(3, 63, 123, 183, 8, 68, 128, 188)(5, 65, 125, 185, 12, 72, 132, 192)(7, 67, 127, 187, 16, 76, 136, 196)(9, 69, 129, 189, 18, 78, 138, 198)(10, 70, 130, 190, 19, 79, 139, 199)(11, 71, 131, 191, 21, 81, 141, 201)(13, 73, 133, 193, 23, 83, 143, 203)(14, 74, 134, 194, 24, 84, 144, 204)(15, 75, 135, 195, 26, 86, 146, 206)(17, 77, 137, 197, 28, 88, 148, 208)(20, 80, 140, 200, 33, 93, 153, 213)(22, 82, 142, 202, 35, 95, 155, 215)(25, 85, 145, 205, 39, 99, 159, 219)(27, 87, 147, 207, 41, 101, 161, 221)(29, 89, 149, 209, 43, 103, 163, 223)(30, 90, 150, 210, 44, 104, 164, 224)(31, 91, 151, 211, 45, 105, 165, 225)(32, 92, 152, 212, 46, 106, 166, 226)(34, 94, 154, 214, 48, 108, 168, 228)(36, 96, 156, 216, 50, 110, 170, 230)(37, 97, 157, 217, 51, 111, 171, 231)(38, 98, 158, 218, 52, 112, 172, 232)(40, 100, 160, 220, 53, 113, 173, 233)(42, 102, 162, 222, 55, 115, 175, 235)(47, 107, 167, 227, 56, 116, 176, 236)(49, 109, 169, 229, 58, 118, 178, 238)(54, 114, 174, 234, 59, 119, 179, 239)(57, 117, 177, 237, 60, 120, 180, 240)
	L = (1, 62)(2, 61)(3, 67)(4, 69)(5, 71)(6, 73)(7, 63)(8, 77)(9, 64)(10, 76)(11, 65)(12, 82)(13, 66)(14, 81)(15, 85)(16, 70)(17, 68)(18, 89)(19, 91)(20, 92)(21, 74)(22, 72)(23, 96)(24, 98)(25, 75)(26, 100)(27, 99)(28, 97)(29, 78)(30, 95)(31, 79)(32, 80)(33, 107)(34, 106)(35, 90)(36, 83)(37, 88)(38, 84)(39, 87)(40, 86)(41, 114)(42, 113)(43, 110)(44, 112)(45, 111)(46, 94)(47, 93)(48, 117)(49, 116)(50, 103)(51, 105)(52, 104)(53, 102)(54, 101)(55, 119)(56, 109)(57, 108)(58, 120)(59, 115)(60, 118)(121, 183)(122, 185)(123, 181)(124, 190)(125, 182)(126, 194)(127, 195)(128, 193)(129, 192)(130, 184)(131, 200)(132, 189)(133, 188)(134, 186)(135, 187)(136, 207)(137, 206)(138, 210)(139, 209)(140, 191)(141, 214)(142, 213)(143, 217)(144, 216)(145, 212)(146, 197)(147, 196)(148, 222)(149, 199)(150, 198)(151, 221)(152, 205)(153, 202)(154, 201)(155, 229)(156, 204)(157, 203)(158, 228)(159, 227)(160, 226)(161, 211)(162, 208)(163, 231)(164, 230)(165, 235)(166, 220)(167, 219)(168, 218)(169, 215)(170, 224)(171, 223)(172, 238)(173, 237)(174, 236)(175, 225)(176, 234)(177, 233)(178, 232)(179, 240)(180, 239)
	local type(s) :: { ( 2, 20, 2, 20, 2, 20, 2, 20 ) }
Outer automorphisms :: reflexible
Dual of E13.996
Transitivity :: VT+
Graph:: bipartite
	v = 30 e = 120 f = 66
	degree seq :: [ 8^30 ]

E13.998 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 2, 10})
Quotient :: loop^2
Aut^+ = S3 x D10 (small group id <60, 8>)
Aut   = C2 x S3 x D10 (small group id <120, 42>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, R * Y2 * R * Y1, (R * Y3)^2, Y3^-1 * Y1 * Y3^2 * Y2 * Y3^-1, Y1 * Y2 * Y1 * Y3^-2 * Y2, Y3^-3 * Y1 * Y2 * Y3^-1, (Y3^2 * Y1)^2, Y2 * Y3 * Y2 * Y1 * Y3^-1 * Y1, Y3^-1 * Y1 * Y3^-1 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 ]
Map::
	R = (1, 61, 121, 181, 4, 64, 124, 184, 14, 74, 134, 194, 20, 80, 140, 200, 6, 66, 126, 186, 19, 79, 139, 199, 9, 69, 129, 189, 27, 87, 147, 207, 17, 77, 137, 197, 5, 65, 125, 185)(2, 62, 122, 182, 7, 67, 127, 187, 23, 83, 143, 203, 11, 71, 131, 191, 3, 63, 123, 183, 10, 70, 130, 190, 18, 78, 138, 198, 34, 94, 154, 214, 26, 86, 146, 206, 8, 68, 128, 188)(12, 72, 132, 192, 29, 89, 149, 209, 15, 75, 135, 195, 32, 92, 152, 212, 13, 73, 133, 193, 31, 91, 151, 211, 16, 76, 136, 196, 33, 93, 153, 213, 35, 95, 155, 215, 30, 90, 150, 210)(21, 81, 141, 201, 36, 96, 156, 216, 24, 84, 144, 204, 39, 99, 159, 219, 22, 82, 142, 202, 38, 98, 158, 218, 25, 85, 145, 205, 40, 100, 160, 220, 28, 88, 148, 208, 37, 97, 157, 217)(41, 101, 161, 221, 51, 111, 171, 231, 43, 103, 163, 223, 54, 114, 174, 234, 42, 102, 162, 222, 53, 113, 173, 233, 44, 104, 164, 224, 55, 115, 175, 235, 45, 105, 165, 225, 52, 112, 172, 232)(46, 106, 166, 226, 56, 116, 176, 236, 48, 108, 168, 228, 59, 119, 179, 239, 47, 107, 167, 227, 58, 118, 178, 238, 49, 109, 169, 229, 60, 120, 180, 240, 50, 110, 170, 230, 57, 117, 177, 237)
	L = (1, 62)(2, 61)(3, 69)(4, 72)(5, 75)(6, 78)(7, 81)(8, 84)(9, 63)(10, 85)(11, 88)(12, 64)(13, 87)(14, 86)(15, 65)(16, 79)(17, 83)(18, 66)(19, 76)(20, 95)(21, 67)(22, 94)(23, 77)(24, 68)(25, 70)(26, 74)(27, 73)(28, 71)(29, 101)(30, 103)(31, 104)(32, 105)(33, 102)(34, 82)(35, 80)(36, 106)(37, 108)(38, 109)(39, 110)(40, 107)(41, 89)(42, 93)(43, 90)(44, 91)(45, 92)(46, 96)(47, 100)(48, 97)(49, 98)(50, 99)(51, 117)(52, 116)(53, 118)(54, 120)(55, 119)(56, 112)(57, 111)(58, 113)(59, 115)(60, 114)(121, 183)(122, 186)(123, 181)(124, 193)(125, 196)(126, 182)(127, 202)(128, 205)(129, 206)(130, 201)(131, 204)(132, 199)(133, 184)(134, 203)(135, 200)(136, 185)(137, 198)(138, 197)(139, 192)(140, 195)(141, 190)(142, 187)(143, 194)(144, 191)(145, 188)(146, 189)(147, 215)(148, 214)(149, 222)(150, 224)(151, 221)(152, 223)(153, 225)(154, 208)(155, 207)(156, 227)(157, 229)(158, 226)(159, 228)(160, 230)(161, 211)(162, 209)(163, 212)(164, 210)(165, 213)(166, 218)(167, 216)(168, 219)(169, 217)(170, 220)(171, 239)(172, 238)(173, 237)(174, 236)(175, 240)(176, 234)(177, 233)(178, 232)(179, 231)(180, 235)
	local type(s) :: { ( 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4 ) }
Outer automorphisms :: reflexible
Dual of E13.995
Transitivity :: VT+
Graph:: bipartite
	v = 6 e = 120 f = 90
	degree seq :: [ 40^6 ]

E13.999 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 10})
Quotient :: dipole
Aut^+ = S3 x D10 (small group id <60, 8>)
Aut   = C2 x S3 x D10 (small group id <120, 42>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, Y3^2, R^2, (R * Y2)^2, (R * Y3)^2, (R * Y1)^2, (Y3 * Y2)^2, (Y3 * Y1 * Y2 * Y1)^2, (Y2 * Y1)^6, Y1 * Y3 * Y1 * Y3 * Y1 * Y2 * Y3 * Y1 * Y3 * Y2 * Y1 * Y3 * Y2 ]
Map:: polytopal non-degenerate
	R = (1, 61, 2, 62)(3, 63, 7, 67)(4, 64, 9, 69)(5, 65, 10, 70)(6, 66, 12, 72)(8, 68, 15, 75)(11, 71, 20, 80)(13, 73, 23, 83)(14, 74, 21, 81)(16, 76, 19, 79)(17, 77, 28, 88)(18, 78, 29, 89)(22, 82, 34, 94)(24, 84, 37, 97)(25, 85, 36, 96)(26, 86, 39, 99)(27, 87, 40, 100)(30, 90, 44, 104)(31, 91, 43, 103)(32, 92, 46, 106)(33, 93, 47, 107)(35, 95, 42, 102)(38, 98, 52, 112)(41, 101, 56, 116)(45, 105, 53, 113)(48, 108, 60, 120)(49, 109, 58, 118)(50, 110, 57, 117)(51, 111, 55, 115)(54, 114, 59, 119)(121, 181, 123, 183)(122, 182, 125, 185)(124, 184, 128, 188)(126, 186, 131, 191)(127, 187, 133, 193)(129, 189, 136, 196)(130, 190, 138, 198)(132, 192, 141, 201)(134, 194, 144, 204)(135, 195, 145, 205)(137, 197, 147, 207)(139, 199, 150, 210)(140, 200, 151, 211)(142, 202, 153, 213)(143, 203, 155, 215)(146, 206, 158, 218)(148, 208, 159, 219)(149, 209, 162, 222)(152, 212, 165, 225)(154, 214, 166, 226)(156, 216, 169, 229)(157, 217, 170, 230)(160, 220, 174, 234)(161, 221, 173, 233)(163, 223, 177, 237)(164, 224, 178, 238)(167, 227, 175, 235)(168, 228, 172, 232)(171, 231, 176, 236)(179, 239, 180, 240)
	L = (1, 124)(2, 126)(3, 128)(4, 121)(5, 131)(6, 122)(7, 134)(8, 123)(9, 137)(10, 139)(11, 125)(12, 142)(13, 144)(14, 127)(15, 146)(16, 147)(17, 129)(18, 150)(19, 130)(20, 152)(21, 153)(22, 132)(23, 156)(24, 133)(25, 158)(26, 135)(27, 136)(28, 161)(29, 163)(30, 138)(31, 165)(32, 140)(33, 141)(34, 168)(35, 169)(36, 143)(37, 171)(38, 145)(39, 173)(40, 175)(41, 148)(42, 177)(43, 149)(44, 179)(45, 151)(46, 172)(47, 174)(48, 154)(49, 155)(50, 176)(51, 157)(52, 166)(53, 159)(54, 167)(55, 160)(56, 170)(57, 162)(58, 180)(59, 164)(60, 178)(61, 181)(62, 182)(63, 183)(64, 184)(65, 185)(66, 186)(67, 187)(68, 188)(69, 189)(70, 190)(71, 191)(72, 192)(73, 193)(74, 194)(75, 195)(76, 196)(77, 197)(78, 198)(79, 199)(80, 200)(81, 201)(82, 202)(83, 203)(84, 204)(85, 205)(86, 206)(87, 207)(88, 208)(89, 209)(90, 210)(91, 211)(92, 212)(93, 213)(94, 214)(95, 215)(96, 216)(97, 217)(98, 218)(99, 219)(100, 220)(101, 221)(102, 222)(103, 223)(104, 224)(105, 225)(106, 226)(107, 227)(108, 228)(109, 229)(110, 230)(111, 231)(112, 232)(113, 233)(114, 234)(115, 235)(116, 236)(117, 237)(118, 238)(119, 239)(120, 240)
	local type(s) :: { ( 4, 20, 4, 20 ) }
Outer automorphisms :: reflexible
Dual of E13.1003
Graph:: simple bipartite
	v = 60 e = 120 f = 36
	degree seq :: [ 4^60 ]

E13.1000 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 10})
Quotient :: dipole
Aut^+ = S3 x D10 (small group id <60, 8>)
Aut   = C2 x S3 x D10 (small group id <120, 42>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, (Y2 * Y3)^2, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y1 * Y3 * Y2 * Y3^-1 * Y1 * Y2, (Y3^2 * Y1)^2, Y3^6, (Y3 * Y1 * Y3^-1 * Y2)^2, Y1 * Y3^-1 * Y1 * Y3 * Y2 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 ]
Map:: non-degenerate
	R = (1, 61, 2, 62)(3, 63, 9, 69)(4, 64, 12, 72)(5, 65, 14, 74)(6, 66, 16, 76)(7, 67, 19, 79)(8, 68, 21, 81)(10, 70, 24, 84)(11, 71, 26, 86)(13, 73, 22, 82)(15, 75, 20, 80)(17, 77, 33, 93)(18, 78, 35, 95)(23, 83, 36, 96)(25, 85, 34, 94)(27, 87, 32, 92)(28, 88, 45, 105)(29, 89, 46, 106)(30, 90, 41, 101)(31, 91, 47, 107)(37, 97, 52, 112)(38, 98, 53, 113)(39, 99, 48, 108)(40, 100, 54, 114)(42, 102, 55, 115)(43, 103, 56, 116)(44, 104, 57, 117)(49, 109, 58, 118)(50, 110, 60, 120)(51, 111, 59, 119)(121, 181, 123, 183)(122, 182, 126, 186)(124, 184, 131, 191)(125, 185, 130, 190)(127, 187, 138, 198)(128, 188, 137, 197)(129, 189, 140, 200)(132, 192, 147, 207)(133, 193, 136, 196)(134, 194, 146, 206)(135, 195, 145, 205)(139, 199, 156, 216)(141, 201, 155, 215)(142, 202, 154, 214)(143, 203, 159, 219)(144, 204, 161, 221)(148, 208, 164, 224)(149, 209, 163, 223)(150, 210, 152, 212)(151, 211, 162, 222)(153, 213, 168, 228)(157, 217, 171, 231)(158, 218, 170, 230)(160, 220, 169, 229)(165, 225, 175, 235)(166, 226, 177, 237)(167, 227, 176, 236)(172, 232, 178, 238)(173, 233, 179, 239)(174, 234, 180, 240)
	L = (1, 124)(2, 127)(3, 130)(4, 133)(5, 121)(6, 137)(7, 140)(8, 122)(9, 138)(10, 145)(11, 123)(12, 148)(13, 150)(14, 151)(15, 125)(16, 131)(17, 154)(18, 126)(19, 157)(20, 159)(21, 160)(22, 128)(23, 129)(24, 162)(25, 152)(26, 164)(27, 163)(28, 134)(29, 132)(30, 135)(31, 161)(32, 136)(33, 169)(34, 143)(35, 171)(36, 170)(37, 141)(38, 139)(39, 142)(40, 168)(41, 149)(42, 146)(43, 144)(44, 147)(45, 178)(46, 180)(47, 179)(48, 158)(49, 155)(50, 153)(51, 156)(52, 175)(53, 176)(54, 177)(55, 173)(56, 174)(57, 172)(58, 166)(59, 165)(60, 167)(61, 181)(62, 182)(63, 183)(64, 184)(65, 185)(66, 186)(67, 187)(68, 188)(69, 189)(70, 190)(71, 191)(72, 192)(73, 193)(74, 194)(75, 195)(76, 196)(77, 197)(78, 198)(79, 199)(80, 200)(81, 201)(82, 202)(83, 203)(84, 204)(85, 205)(86, 206)(87, 207)(88, 208)(89, 209)(90, 210)(91, 211)(92, 212)(93, 213)(94, 214)(95, 215)(96, 216)(97, 217)(98, 218)(99, 219)(100, 220)(101, 221)(102, 222)(103, 223)(104, 224)(105, 225)(106, 226)(107, 227)(108, 228)(109, 229)(110, 230)(111, 231)(112, 232)(113, 233)(114, 234)(115, 235)(116, 236)(117, 237)(118, 238)(119, 239)(120, 240)
	local type(s) :: { ( 4, 20, 4, 20 ) }
Outer automorphisms :: reflexible
Dual of E13.1004
Graph:: simple bipartite
	v = 60 e = 120 f = 36
	degree seq :: [ 4^60 ]

E13.1001 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 10})
Quotient :: dipole
Aut^+ = S3 x D10 (small group id <60, 8>)
Aut   = C2 x S3 x D10 (small group id <120, 42>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, Y3^2, R^2, (R * Y2)^2, (Y3 * Y2)^2, (R * Y3)^2, (R * Y1)^2, (Y3 * Y1 * Y3 * Y2 * Y1)^2, Y2 * Y1 * Y3 * Y1 * Y3 * Y1 * Y2 * Y1 * Y2 * Y1, Y3 * Y2 * Y1 * Y2 * Y1 * Y3 * Y1 * Y2 * Y1 * Y3 * Y1 * Y2 * Y1 * Y2 * Y3 * Y1 ]
Map:: polytopal non-degenerate
	R = (1, 61, 2, 62)(3, 63, 7, 67)(4, 64, 9, 69)(5, 65, 10, 70)(6, 66, 12, 72)(8, 68, 15, 75)(11, 71, 20, 80)(13, 73, 23, 83)(14, 74, 25, 85)(16, 76, 28, 88)(17, 77, 30, 90)(18, 78, 31, 91)(19, 79, 33, 93)(21, 81, 36, 96)(22, 82, 38, 98)(24, 84, 39, 99)(26, 86, 41, 101)(27, 87, 37, 97)(29, 89, 35, 95)(32, 92, 44, 104)(34, 94, 46, 106)(40, 100, 51, 111)(42, 102, 50, 110)(43, 103, 52, 112)(45, 105, 55, 115)(47, 107, 54, 114)(48, 108, 56, 116)(49, 109, 53, 113)(57, 117, 60, 120)(58, 118, 59, 119)(121, 181, 123, 183)(122, 182, 125, 185)(124, 184, 128, 188)(126, 186, 131, 191)(127, 187, 133, 193)(129, 189, 136, 196)(130, 190, 138, 198)(132, 192, 141, 201)(134, 194, 144, 204)(135, 195, 146, 206)(137, 197, 149, 209)(139, 199, 152, 212)(140, 200, 154, 214)(142, 202, 157, 217)(143, 203, 158, 218)(145, 205, 160, 220)(147, 207, 162, 222)(148, 208, 156, 216)(150, 210, 151, 211)(153, 213, 165, 225)(155, 215, 167, 227)(159, 219, 169, 229)(161, 221, 171, 231)(163, 223, 168, 228)(164, 224, 173, 233)(166, 226, 175, 235)(170, 230, 177, 237)(172, 232, 178, 238)(174, 234, 179, 239)(176, 236, 180, 240)
	L = (1, 124)(2, 126)(3, 128)(4, 121)(5, 131)(6, 122)(7, 134)(8, 123)(9, 137)(10, 139)(11, 125)(12, 142)(13, 144)(14, 127)(15, 147)(16, 149)(17, 129)(18, 152)(19, 130)(20, 155)(21, 157)(22, 132)(23, 153)(24, 133)(25, 151)(26, 162)(27, 135)(28, 163)(29, 136)(30, 160)(31, 145)(32, 138)(33, 143)(34, 167)(35, 140)(36, 168)(37, 141)(38, 165)(39, 170)(40, 150)(41, 172)(42, 146)(43, 148)(44, 174)(45, 158)(46, 176)(47, 154)(48, 156)(49, 177)(50, 159)(51, 178)(52, 161)(53, 179)(54, 164)(55, 180)(56, 166)(57, 169)(58, 171)(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) :: { ( 4, 20, 4, 20 ) }
Outer automorphisms :: reflexible
Dual of E13.1002
Graph:: simple bipartite
	v = 60 e = 120 f = 36
	degree seq :: [ 4^60 ]

E13.1002 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 10})
Quotient :: dipole
Aut^+ = S3 x D10 (small group id <60, 8>)
Aut   = C2 x S3 x D10 (small group id <120, 42>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, (R * Y2)^2, (R * Y1)^2, (R * Y3)^2, (Y3 * Y1^-1)^2, (Y3 * Y2)^2, Y1^-1 * Y2 * Y1^2 * Y2 * Y1^-1, Y1^-2 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1, Y1^10 ]
Map:: polytopal non-degenerate
	R = (1, 61, 2, 62, 6, 66, 15, 75, 30, 90, 47, 107, 46, 106, 29, 89, 14, 74, 5, 65)(3, 63, 9, 69, 16, 76, 33, 93, 48, 108, 38, 98, 53, 113, 35, 95, 25, 85, 11, 71)(4, 64, 12, 72, 26, 86, 44, 104, 57, 117, 58, 118, 49, 109, 32, 92, 17, 77, 8, 68)(7, 67, 18, 78, 31, 91, 24, 84, 41, 101, 21, 81, 39, 99, 28, 88, 13, 73, 20, 80)(10, 70, 23, 83, 42, 102, 52, 112, 60, 120, 54, 114, 59, 119, 51, 111, 34, 94, 22, 82)(19, 79, 37, 97, 27, 87, 45, 105, 55, 115, 40, 100, 56, 116, 43, 103, 50, 110, 36, 96)(121, 181, 123, 183)(122, 182, 127, 187)(124, 184, 130, 190)(125, 185, 133, 193)(126, 186, 136, 196)(128, 188, 139, 199)(129, 189, 141, 201)(131, 191, 144, 204)(132, 192, 147, 207)(134, 194, 145, 205)(135, 195, 151, 211)(137, 197, 154, 214)(138, 198, 155, 215)(140, 200, 158, 218)(142, 202, 160, 220)(143, 203, 163, 223)(146, 206, 162, 222)(148, 208, 153, 213)(149, 209, 159, 219)(150, 210, 168, 228)(152, 212, 170, 230)(156, 216, 172, 232)(157, 217, 174, 234)(161, 221, 167, 227)(164, 224, 175, 235)(165, 225, 171, 231)(166, 226, 173, 233)(169, 229, 179, 239)(176, 236, 178, 238)(177, 237, 180, 240)
	L = (1, 124)(2, 128)(3, 130)(4, 121)(5, 132)(6, 137)(7, 139)(8, 122)(9, 142)(10, 123)(11, 143)(12, 125)(13, 147)(14, 146)(15, 152)(16, 154)(17, 126)(18, 156)(19, 127)(20, 157)(21, 160)(22, 129)(23, 131)(24, 163)(25, 162)(26, 134)(27, 133)(28, 165)(29, 164)(30, 169)(31, 170)(32, 135)(33, 171)(34, 136)(35, 172)(36, 138)(37, 140)(38, 174)(39, 175)(40, 141)(41, 176)(42, 145)(43, 144)(44, 149)(45, 148)(46, 177)(47, 178)(48, 179)(49, 150)(50, 151)(51, 153)(52, 155)(53, 180)(54, 158)(55, 159)(56, 161)(57, 166)(58, 167)(59, 168)(60, 173)(61, 181)(62, 182)(63, 183)(64, 184)(65, 185)(66, 186)(67, 187)(68, 188)(69, 189)(70, 190)(71, 191)(72, 192)(73, 193)(74, 194)(75, 195)(76, 196)(77, 197)(78, 198)(79, 199)(80, 200)(81, 201)(82, 202)(83, 203)(84, 204)(85, 205)(86, 206)(87, 207)(88, 208)(89, 209)(90, 210)(91, 211)(92, 212)(93, 213)(94, 214)(95, 215)(96, 216)(97, 217)(98, 218)(99, 219)(100, 220)(101, 221)(102, 222)(103, 223)(104, 224)(105, 225)(106, 226)(107, 227)(108, 228)(109, 229)(110, 230)(111, 231)(112, 232)(113, 233)(114, 234)(115, 235)(116, 236)(117, 237)(118, 238)(119, 239)(120, 240)
	local type(s) :: { ( 4^4 ), ( 4^20 ) }
Outer automorphisms :: reflexible
Dual of E13.1001
Graph:: simple bipartite
	v = 36 e = 120 f = 60
	degree seq :: [ 4^30, 20^6 ]

E13.1003 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 10})
Quotient :: dipole
Aut^+ = S3 x D10 (small group id <60, 8>)
Aut   = C2 x S3 x D10 (small group id <120, 42>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, (R * Y2)^2, (R * Y1)^2, (Y3 * Y1^-1)^2, (R * Y3)^2, (Y3 * Y2)^2, (Y1^-1 * Y2 * Y1^-1)^2, Y2 * Y1 * Y3 * Y2 * Y1 * Y2 * Y1^-3, Y1^10 ]
Map:: polytopal non-degenerate
	R = (1, 61, 2, 62, 6, 66, 15, 75, 30, 90, 51, 111, 50, 110, 29, 89, 14, 74, 5, 65)(3, 63, 9, 69, 21, 81, 39, 99, 57, 117, 55, 115, 52, 112, 34, 94, 16, 76, 11, 71)(4, 64, 12, 72, 26, 86, 46, 106, 60, 120, 58, 118, 53, 113, 32, 92, 17, 77, 8, 68)(7, 67, 18, 78, 13, 73, 28, 88, 48, 108, 44, 104, 59, 119, 42, 102, 31, 91, 20, 80)(10, 70, 24, 84, 33, 93, 49, 109, 56, 116, 35, 95, 54, 114, 38, 98, 40, 100, 23, 83)(19, 79, 37, 97, 43, 103, 22, 82, 41, 101, 25, 85, 45, 105, 47, 107, 27, 87, 36, 96)(121, 181, 123, 183)(122, 182, 127, 187)(124, 184, 130, 190)(125, 185, 133, 193)(126, 186, 136, 196)(128, 188, 139, 199)(129, 189, 142, 202)(131, 191, 145, 205)(132, 192, 147, 207)(134, 194, 141, 201)(135, 195, 151, 211)(137, 197, 153, 213)(138, 198, 155, 215)(140, 200, 158, 218)(143, 203, 162, 222)(144, 204, 164, 224)(146, 206, 160, 220)(148, 208, 169, 229)(149, 209, 168, 228)(150, 210, 172, 232)(152, 212, 163, 223)(154, 214, 167, 227)(156, 216, 175, 235)(157, 217, 159, 219)(161, 221, 178, 238)(165, 225, 166, 226)(170, 230, 177, 237)(171, 231, 179, 239)(173, 233, 176, 236)(174, 234, 180, 240)
	L = (1, 124)(2, 128)(3, 130)(4, 121)(5, 132)(6, 137)(7, 139)(8, 122)(9, 143)(10, 123)(11, 144)(12, 125)(13, 147)(14, 146)(15, 152)(16, 153)(17, 126)(18, 156)(19, 127)(20, 157)(21, 160)(22, 162)(23, 129)(24, 131)(25, 164)(26, 134)(27, 133)(28, 167)(29, 166)(30, 173)(31, 163)(32, 135)(33, 136)(34, 169)(35, 175)(36, 138)(37, 140)(38, 159)(39, 158)(40, 141)(41, 179)(42, 142)(43, 151)(44, 145)(45, 168)(46, 149)(47, 148)(48, 165)(49, 154)(50, 180)(51, 178)(52, 176)(53, 150)(54, 177)(55, 155)(56, 172)(57, 174)(58, 171)(59, 161)(60, 170)(61, 181)(62, 182)(63, 183)(64, 184)(65, 185)(66, 186)(67, 187)(68, 188)(69, 189)(70, 190)(71, 191)(72, 192)(73, 193)(74, 194)(75, 195)(76, 196)(77, 197)(78, 198)(79, 199)(80, 200)(81, 201)(82, 202)(83, 203)(84, 204)(85, 205)(86, 206)(87, 207)(88, 208)(89, 209)(90, 210)(91, 211)(92, 212)(93, 213)(94, 214)(95, 215)(96, 216)(97, 217)(98, 218)(99, 219)(100, 220)(101, 221)(102, 222)(103, 223)(104, 224)(105, 225)(106, 226)(107, 227)(108, 228)(109, 229)(110, 230)(111, 231)(112, 232)(113, 233)(114, 234)(115, 235)(116, 236)(117, 237)(118, 238)(119, 239)(120, 240)
	local type(s) :: { ( 4^4 ), ( 4^20 ) }
Outer automorphisms :: reflexible
Dual of E13.999
Graph:: simple bipartite
	v = 36 e = 120 f = 60
	degree seq :: [ 4^30, 20^6 ]

E13.1004 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 10})
Quotient :: dipole
Aut^+ = S3 x D10 (small group id <60, 8>)
Aut   = C2 x S3 x D10 (small group id <120, 42>)
|r| :: 2
Presentation :: [ Y2^2, R^2, (Y3 * Y1)^2, Y1^-1 * Y3^-2 * Y1^-1, (Y3 * Y2)^2, (R * Y1)^2, (R * Y3)^2, Y1^-1 * Y3^3 * Y1^-1, (R * Y2 * Y3^-1)^2, Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1^-1 * Y2 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 61, 2, 62, 7, 67, 16, 76, 4, 64, 9, 69, 6, 66, 10, 70, 15, 75, 5, 65)(3, 63, 11, 71, 23, 83, 27, 87, 12, 72, 25, 85, 14, 74, 26, 86, 18, 78, 13, 73)(8, 68, 19, 79, 17, 77, 30, 90, 20, 80, 32, 92, 22, 82, 33, 93, 29, 89, 21, 81)(24, 84, 35, 95, 28, 88, 40, 100, 36, 96, 48, 108, 38, 98, 49, 109, 39, 99, 37, 97)(31, 91, 42, 102, 34, 94, 46, 106, 43, 103, 54, 114, 45, 105, 52, 112, 41, 101, 44, 104)(47, 107, 55, 115, 50, 110, 59, 119, 57, 117, 60, 120, 58, 118, 56, 116, 51, 111, 53, 113)(121, 181, 123, 183)(122, 182, 128, 188)(124, 184, 134, 194)(125, 185, 137, 197)(126, 186, 132, 192)(127, 187, 138, 198)(129, 189, 142, 202)(130, 190, 140, 200)(131, 191, 144, 204)(133, 193, 148, 208)(135, 195, 143, 203)(136, 196, 149, 209)(139, 199, 151, 211)(141, 201, 154, 214)(145, 205, 158, 218)(146, 206, 156, 216)(147, 207, 159, 219)(150, 210, 161, 221)(152, 212, 165, 225)(153, 213, 163, 223)(155, 215, 167, 227)(157, 217, 170, 230)(160, 220, 171, 231)(162, 222, 173, 233)(164, 224, 175, 235)(166, 226, 176, 236)(168, 228, 178, 238)(169, 229, 177, 237)(172, 232, 179, 239)(174, 234, 180, 240)
	L = (1, 124)(2, 129)(3, 132)(4, 135)(5, 136)(6, 121)(7, 126)(8, 140)(9, 125)(10, 122)(11, 145)(12, 138)(13, 147)(14, 123)(15, 127)(16, 130)(17, 142)(18, 143)(19, 152)(20, 149)(21, 150)(22, 128)(23, 134)(24, 156)(25, 133)(26, 131)(27, 146)(28, 158)(29, 137)(30, 153)(31, 163)(32, 141)(33, 139)(34, 165)(35, 168)(36, 159)(37, 160)(38, 144)(39, 148)(40, 169)(41, 154)(42, 174)(43, 161)(44, 166)(45, 151)(46, 172)(47, 177)(48, 157)(49, 155)(50, 178)(51, 170)(52, 162)(53, 179)(54, 164)(55, 180)(56, 175)(57, 171)(58, 167)(59, 176)(60, 173)(61, 181)(62, 182)(63, 183)(64, 184)(65, 185)(66, 186)(67, 187)(68, 188)(69, 189)(70, 190)(71, 191)(72, 192)(73, 193)(74, 194)(75, 195)(76, 196)(77, 197)(78, 198)(79, 199)(80, 200)(81, 201)(82, 202)(83, 203)(84, 204)(85, 205)(86, 206)(87, 207)(88, 208)(89, 209)(90, 210)(91, 211)(92, 212)(93, 213)(94, 214)(95, 215)(96, 216)(97, 217)(98, 218)(99, 219)(100, 220)(101, 221)(102, 222)(103, 223)(104, 224)(105, 225)(106, 226)(107, 227)(108, 228)(109, 229)(110, 230)(111, 231)(112, 232)(113, 233)(114, 234)(115, 235)(116, 236)(117, 237)(118, 238)(119, 239)(120, 240)
	local type(s) :: { ( 4^4 ), ( 4^20 ) }
Outer automorphisms :: reflexible
Dual of E13.1000
Graph:: bipartite
	v = 36 e = 120 f = 60
	degree seq :: [ 4^30, 20^6 ]

E13.1005 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 8})
Quotient :: dipole
Aut^+ = (C2 x C2 x D8) : C2 (small group id <64, 128>)
Aut   = $<128, 1728>$ (small group id <128, 1728>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, Y3^2, R^2, (R * Y2)^2, (R * Y3)^2, (R * Y1)^2, (Y3 * Y2)^2, (Y1 * Y2)^4, (Y1 * Y3 * Y1 * Y2)^2, (Y3 * Y1)^8 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66)(3, 67, 7, 71)(4, 68, 9, 73)(5, 69, 10, 74)(6, 70, 12, 76)(8, 72, 15, 79)(11, 75, 20, 84)(13, 77, 18, 82)(14, 78, 21, 85)(16, 80, 19, 83)(17, 81, 27, 91)(22, 86, 32, 96)(23, 87, 29, 93)(24, 88, 28, 92)(25, 89, 34, 98)(26, 90, 35, 99)(30, 94, 38, 102)(31, 95, 39, 103)(33, 97, 41, 105)(36, 100, 44, 108)(37, 101, 45, 109)(40, 104, 48, 112)(42, 106, 50, 114)(43, 107, 51, 115)(46, 110, 54, 118)(47, 111, 55, 119)(49, 113, 57, 121)(52, 116, 56, 120)(53, 117, 60, 124)(58, 122, 62, 126)(59, 123, 61, 125)(63, 127, 64, 128)(129, 193, 131, 195)(130, 194, 133, 197)(132, 196, 136, 200)(134, 198, 139, 203)(135, 199, 141, 205)(137, 201, 144, 208)(138, 202, 146, 210)(140, 204, 149, 213)(142, 206, 151, 215)(143, 207, 152, 216)(145, 209, 154, 218)(147, 211, 156, 220)(148, 212, 157, 221)(150, 214, 159, 223)(153, 217, 161, 225)(155, 219, 162, 226)(158, 222, 165, 229)(160, 224, 166, 230)(163, 227, 169, 233)(164, 228, 170, 234)(167, 231, 173, 237)(168, 232, 174, 238)(171, 235, 177, 241)(172, 236, 179, 243)(175, 239, 181, 245)(176, 240, 183, 247)(178, 242, 185, 249)(180, 244, 187, 251)(182, 246, 188, 252)(184, 248, 190, 254)(186, 250, 191, 255)(189, 253, 192, 256)
	L = (1, 132)(2, 134)(3, 136)(4, 129)(5, 139)(6, 130)(7, 142)(8, 131)(9, 145)(10, 147)(11, 133)(12, 150)(13, 151)(14, 135)(15, 153)(16, 154)(17, 137)(18, 156)(19, 138)(20, 158)(21, 159)(22, 140)(23, 141)(24, 161)(25, 143)(26, 144)(27, 164)(28, 146)(29, 165)(30, 148)(31, 149)(32, 168)(33, 152)(34, 170)(35, 171)(36, 155)(37, 157)(38, 174)(39, 175)(40, 160)(41, 177)(42, 162)(43, 163)(44, 180)(45, 181)(46, 166)(47, 167)(48, 184)(49, 169)(50, 186)(51, 187)(52, 172)(53, 173)(54, 189)(55, 190)(56, 176)(57, 191)(58, 178)(59, 179)(60, 192)(61, 182)(62, 183)(63, 185)(64, 188)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4, 16, 4, 16 ) }
Outer automorphisms :: reflexible
Dual of E13.1014
Graph:: simple bipartite
	v = 64 e = 128 f = 40
	degree seq :: [ 4^64 ]

E13.1006 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 8})
Quotient :: dipole
Aut^+ = (C2 x C2 x D8) : C2 (small group id <64, 128>)
Aut   = $<128, 1728>$ (small group id <128, 1728>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, Y3^2, R^2, (Y3 * Y2)^2, (R * Y2)^2, (R * Y3)^2, (R * Y1)^2, (Y3 * Y1 * Y3 * Y2 * Y1)^2, (Y3 * Y2 * Y1 * Y2 * Y1)^2, (Y3 * Y1)^8 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66)(3, 67, 7, 71)(4, 68, 9, 73)(5, 69, 10, 74)(6, 70, 12, 76)(8, 72, 15, 79)(11, 75, 20, 84)(13, 77, 23, 87)(14, 78, 25, 89)(16, 80, 28, 92)(17, 81, 30, 94)(18, 82, 31, 95)(19, 83, 33, 97)(21, 85, 36, 100)(22, 86, 38, 102)(24, 88, 34, 98)(26, 90, 32, 96)(27, 91, 37, 101)(29, 93, 35, 99)(39, 103, 49, 113)(40, 104, 50, 114)(41, 105, 51, 115)(42, 106, 52, 116)(43, 107, 48, 112)(44, 108, 53, 117)(45, 109, 54, 118)(46, 110, 55, 119)(47, 111, 56, 120)(57, 121, 61, 125)(58, 122, 63, 127)(59, 123, 62, 126)(60, 124, 64, 128)(129, 193, 131, 195)(130, 194, 133, 197)(132, 196, 136, 200)(134, 198, 139, 203)(135, 199, 141, 205)(137, 201, 144, 208)(138, 202, 146, 210)(140, 204, 149, 213)(142, 206, 152, 216)(143, 207, 154, 218)(145, 209, 157, 221)(147, 211, 160, 224)(148, 212, 162, 226)(150, 214, 165, 229)(151, 215, 167, 231)(153, 217, 169, 233)(155, 219, 171, 235)(156, 220, 168, 232)(158, 222, 170, 234)(159, 223, 172, 236)(161, 225, 174, 238)(163, 227, 176, 240)(164, 228, 173, 237)(166, 230, 175, 239)(177, 241, 185, 249)(178, 242, 187, 251)(179, 243, 186, 250)(180, 244, 188, 252)(181, 245, 189, 253)(182, 246, 191, 255)(183, 247, 190, 254)(184, 248, 192, 256)
	L = (1, 132)(2, 134)(3, 136)(4, 129)(5, 139)(6, 130)(7, 142)(8, 131)(9, 145)(10, 147)(11, 133)(12, 150)(13, 152)(14, 135)(15, 155)(16, 157)(17, 137)(18, 160)(19, 138)(20, 163)(21, 165)(22, 140)(23, 168)(24, 141)(25, 170)(26, 171)(27, 143)(28, 167)(29, 144)(30, 169)(31, 173)(32, 146)(33, 175)(34, 176)(35, 148)(36, 172)(37, 149)(38, 174)(39, 156)(40, 151)(41, 158)(42, 153)(43, 154)(44, 164)(45, 159)(46, 166)(47, 161)(48, 162)(49, 186)(50, 188)(51, 185)(52, 187)(53, 190)(54, 192)(55, 189)(56, 191)(57, 179)(58, 177)(59, 180)(60, 178)(61, 183)(62, 181)(63, 184)(64, 182)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4, 16, 4, 16 ) }
Outer automorphisms :: reflexible
Dual of E13.1013
Graph:: simple bipartite
	v = 64 e = 128 f = 40
	degree seq :: [ 4^64 ]

E13.1007 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 8})
Quotient :: dipole
Aut^+ = (C2 x D16) : C2 (small group id <64, 130>)
Aut   = $<128, 1738>$ (small group id <128, 1738>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^4, (Y3 * Y2)^2, (R * Y1)^2, (R * Y3)^2, Y3^-1 * Y1 * Y3^2 * Y1 * Y3^-1, (R * Y2 * Y3^-1)^2, Y3 * Y2 * Y3^-2 * Y2 * Y3, Y3 * Y1 * Y3^-1 * Y1 * Y3 * Y1 * Y3 * Y1, Y3 * Y1 * Y2 * Y1 * Y3^-1 * Y1 * Y2 * Y1, Y2 * Y1 * Y3^-1 * Y2 * Y3 * Y1 * Y2 * Y1 * Y2 * Y1 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66)(3, 67, 9, 73)(4, 68, 12, 76)(5, 69, 14, 78)(6, 70, 15, 79)(7, 71, 18, 82)(8, 72, 20, 84)(10, 74, 24, 88)(11, 75, 26, 90)(13, 77, 19, 83)(16, 80, 34, 98)(17, 81, 36, 100)(21, 85, 41, 105)(22, 86, 37, 101)(23, 87, 40, 104)(25, 89, 44, 108)(27, 91, 32, 96)(28, 92, 39, 103)(29, 93, 38, 102)(30, 94, 33, 97)(31, 95, 51, 115)(35, 99, 54, 118)(42, 106, 58, 122)(43, 107, 55, 119)(45, 109, 53, 117)(46, 110, 60, 124)(47, 111, 59, 123)(48, 112, 52, 116)(49, 113, 57, 121)(50, 114, 56, 120)(61, 125, 63, 127)(62, 126, 64, 128)(129, 193, 131, 195)(130, 194, 134, 198)(132, 196, 139, 203)(133, 197, 138, 202)(135, 199, 145, 209)(136, 200, 144, 208)(137, 201, 149, 213)(140, 204, 155, 219)(141, 205, 153, 217)(142, 206, 158, 222)(143, 207, 159, 223)(146, 210, 165, 229)(147, 211, 163, 227)(148, 212, 168, 232)(150, 214, 171, 235)(151, 215, 170, 234)(152, 216, 173, 237)(154, 218, 176, 240)(156, 220, 178, 242)(157, 221, 177, 241)(160, 224, 181, 245)(161, 225, 180, 244)(162, 226, 183, 247)(164, 228, 186, 250)(166, 230, 188, 252)(167, 231, 187, 251)(169, 233, 182, 246)(172, 236, 179, 243)(174, 238, 190, 254)(175, 239, 189, 253)(184, 248, 192, 256)(185, 249, 191, 255)
	L = (1, 132)(2, 135)(3, 138)(4, 141)(5, 129)(6, 144)(7, 147)(8, 130)(9, 150)(10, 153)(11, 131)(12, 156)(13, 133)(14, 157)(15, 160)(16, 163)(17, 134)(18, 166)(19, 136)(20, 167)(21, 170)(22, 172)(23, 137)(24, 174)(25, 139)(26, 175)(27, 177)(28, 142)(29, 140)(30, 178)(31, 180)(32, 182)(33, 143)(34, 184)(35, 145)(36, 185)(37, 187)(38, 148)(39, 146)(40, 188)(41, 181)(42, 179)(43, 149)(44, 151)(45, 189)(46, 154)(47, 152)(48, 190)(49, 158)(50, 155)(51, 171)(52, 169)(53, 159)(54, 161)(55, 191)(56, 164)(57, 162)(58, 192)(59, 168)(60, 165)(61, 176)(62, 173)(63, 186)(64, 183)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4, 16, 4, 16 ) }
Outer automorphisms :: reflexible
Dual of E13.1015
Graph:: simple bipartite
	v = 64 e = 128 f = 40
	degree seq :: [ 4^64 ]

E13.1008 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 8})
Quotient :: dipole
Aut^+ = (C2 x D16) : C2 (small group id <64, 130>)
Aut   = $<128, 1740>$ (small group id <128, 1740>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^4, (Y3 * Y2)^2, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, (Y3^-1 * Y1 * Y3^-1)^2, Y3^-1 * Y1 * Y3^-1 * Y1 * Y3 * Y1 * Y3^-1 * Y1, (Y2 * Y1 * Y3^-1 * Y1)^2, (R * Y2 * Y1 * Y2)^2, (Y2 * Y1)^4, Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3 * Y2 * Y1 * Y3^-1 * Y2 * Y1 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66)(3, 67, 9, 73)(4, 68, 12, 76)(5, 69, 14, 78)(6, 70, 15, 79)(7, 71, 18, 82)(8, 72, 20, 84)(10, 74, 24, 88)(11, 75, 26, 90)(13, 77, 19, 83)(16, 80, 34, 98)(17, 81, 36, 100)(21, 85, 31, 95)(22, 86, 40, 104)(23, 87, 37, 101)(25, 89, 43, 107)(27, 91, 33, 97)(28, 92, 39, 103)(29, 93, 38, 102)(30, 94, 32, 96)(35, 99, 52, 116)(41, 105, 56, 120)(42, 106, 53, 117)(44, 108, 51, 115)(45, 109, 57, 121)(46, 110, 58, 122)(47, 111, 50, 114)(48, 112, 54, 118)(49, 113, 55, 119)(59, 123, 62, 126)(60, 124, 64, 128)(61, 125, 63, 127)(129, 193, 131, 195)(130, 194, 134, 198)(132, 196, 139, 203)(133, 197, 138, 202)(135, 199, 145, 209)(136, 200, 144, 208)(137, 201, 149, 213)(140, 204, 155, 219)(141, 205, 153, 217)(142, 206, 158, 222)(143, 207, 159, 223)(146, 210, 165, 229)(147, 211, 163, 227)(148, 212, 168, 232)(150, 214, 170, 234)(151, 215, 169, 233)(152, 216, 172, 236)(154, 218, 175, 239)(156, 220, 177, 241)(157, 221, 176, 240)(160, 224, 179, 243)(161, 225, 178, 242)(162, 226, 181, 245)(164, 228, 184, 248)(166, 230, 186, 250)(167, 231, 185, 249)(171, 235, 187, 251)(173, 237, 189, 253)(174, 238, 188, 252)(180, 244, 190, 254)(182, 246, 192, 256)(183, 247, 191, 255)
	L = (1, 132)(2, 135)(3, 138)(4, 141)(5, 129)(6, 144)(7, 147)(8, 130)(9, 150)(10, 153)(11, 131)(12, 156)(13, 133)(14, 157)(15, 160)(16, 163)(17, 134)(18, 166)(19, 136)(20, 167)(21, 169)(22, 171)(23, 137)(24, 173)(25, 139)(26, 174)(27, 176)(28, 142)(29, 140)(30, 177)(31, 178)(32, 180)(33, 143)(34, 182)(35, 145)(36, 183)(37, 185)(38, 148)(39, 146)(40, 186)(41, 187)(42, 149)(43, 151)(44, 188)(45, 154)(46, 152)(47, 189)(48, 158)(49, 155)(50, 190)(51, 159)(52, 161)(53, 191)(54, 164)(55, 162)(56, 192)(57, 168)(58, 165)(59, 170)(60, 175)(61, 172)(62, 179)(63, 184)(64, 181)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4, 16, 4, 16 ) }
Outer automorphisms :: reflexible
Dual of E13.1016
Graph:: simple bipartite
	v = 64 e = 128 f = 40
	degree seq :: [ 4^64 ]

E13.1009 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 8})
Quotient :: dipole
Aut^+ = (C2 x D16) : C2 (small group id <64, 130>)
Aut   = $<128, 1996>$ (small group id <128, 1996>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, (Y2 * Y3^-1)^2, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, Y3^-1 * Y1 * Y3^2 * Y1 * Y3^-1, Y2 * Y3^4 * Y1 * Y2 * Y1, Y3 * Y1 * Y3 * Y2 * Y3^-1 * Y1 * Y3^-1 * Y2, (Y2 * Y1)^4, Y3^-2 * Y1 * Y2 * Y1 * Y3^2 * Y2, (Y3^-1 * Y1 * Y3 * Y1)^2, (Y2 * Y1 * Y3 * Y1)^2, Y3^8 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66)(3, 67, 9, 73)(4, 68, 12, 76)(5, 69, 14, 78)(6, 70, 16, 80)(7, 71, 19, 83)(8, 72, 21, 85)(10, 74, 26, 90)(11, 75, 28, 92)(13, 77, 20, 84)(15, 79, 22, 86)(17, 81, 40, 104)(18, 82, 42, 106)(23, 87, 37, 101)(24, 88, 48, 112)(25, 89, 44, 108)(27, 91, 43, 107)(29, 93, 41, 105)(30, 94, 39, 103)(31, 95, 45, 109)(32, 96, 46, 110)(33, 97, 51, 115)(34, 98, 38, 102)(35, 99, 49, 113)(36, 100, 54, 118)(47, 111, 57, 121)(50, 114, 60, 124)(52, 116, 61, 125)(53, 117, 62, 126)(55, 119, 58, 122)(56, 120, 59, 123)(63, 127, 64, 128)(129, 193, 131, 195)(130, 194, 134, 198)(132, 196, 139, 203)(133, 197, 138, 202)(135, 199, 146, 210)(136, 200, 145, 209)(137, 201, 151, 215)(140, 204, 158, 222)(141, 205, 157, 221)(142, 206, 162, 226)(143, 207, 155, 219)(144, 208, 165, 229)(147, 211, 172, 236)(148, 212, 171, 235)(149, 213, 176, 240)(150, 214, 169, 233)(152, 216, 175, 239)(153, 217, 178, 242)(154, 218, 179, 243)(156, 220, 182, 246)(159, 223, 180, 244)(160, 224, 184, 248)(161, 225, 166, 230)(163, 227, 183, 247)(164, 228, 167, 231)(168, 232, 185, 249)(170, 234, 188, 252)(173, 237, 186, 250)(174, 238, 190, 254)(177, 241, 189, 253)(181, 245, 191, 255)(187, 251, 192, 256)
	L = (1, 132)(2, 135)(3, 138)(4, 141)(5, 129)(6, 145)(7, 148)(8, 130)(9, 152)(10, 155)(11, 131)(12, 159)(13, 161)(14, 160)(15, 133)(16, 166)(17, 169)(18, 134)(19, 173)(20, 175)(21, 174)(22, 136)(23, 178)(24, 171)(25, 137)(26, 180)(27, 167)(28, 181)(29, 139)(30, 184)(31, 179)(32, 140)(33, 165)(34, 183)(35, 142)(36, 143)(37, 164)(38, 157)(39, 144)(40, 186)(41, 153)(42, 187)(43, 146)(44, 190)(45, 185)(46, 147)(47, 151)(48, 189)(49, 149)(50, 150)(51, 191)(52, 158)(53, 154)(54, 163)(55, 156)(56, 162)(57, 192)(58, 172)(59, 168)(60, 177)(61, 170)(62, 176)(63, 182)(64, 188)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4, 16, 4, 16 ) }
Outer automorphisms :: reflexible
Dual of E13.1018
Graph:: simple bipartite
	v = 64 e = 128 f = 40
	degree seq :: [ 4^64 ]

E13.1010 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 8})
Quotient :: dipole
Aut^+ = (C2 x (C8 : C2)) : C2 (small group id <64, 150>)
Aut   = $<128, 1996>$ (small group id <128, 1996>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^4, (Y3 * Y2)^2, (R * Y3)^2, (R * Y1)^2, Y1 * Y3^2 * Y1 * Y3^-2, (Y3^2 * Y1)^2, (R * Y2 * Y3^-1)^2, (Y2 * Y1 * Y3^-1 * Y1)^2, (R * Y2 * Y1 * Y2)^2, (Y2 * Y1)^4, Y3^-1 * Y1 * Y3^-1 * Y1 * Y2 * Y3 * Y1 * Y3^-1 * Y2 * Y1 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66)(3, 67, 9, 73)(4, 68, 12, 76)(5, 69, 14, 78)(6, 70, 15, 79)(7, 71, 18, 82)(8, 72, 20, 84)(10, 74, 24, 88)(11, 75, 26, 90)(13, 77, 19, 83)(16, 80, 34, 98)(17, 81, 36, 100)(21, 85, 31, 95)(22, 86, 40, 104)(23, 87, 37, 101)(25, 89, 43, 107)(27, 91, 33, 97)(28, 92, 50, 114)(29, 93, 51, 115)(30, 94, 32, 96)(35, 99, 54, 118)(38, 102, 61, 125)(39, 103, 62, 126)(41, 105, 58, 122)(42, 106, 55, 119)(44, 108, 53, 117)(45, 109, 57, 121)(46, 110, 56, 120)(47, 111, 52, 116)(48, 112, 60, 124)(49, 113, 59, 123)(63, 127, 64, 128)(129, 193, 131, 195)(130, 194, 134, 198)(132, 196, 139, 203)(133, 197, 138, 202)(135, 199, 145, 209)(136, 200, 144, 208)(137, 201, 149, 213)(140, 204, 155, 219)(141, 205, 153, 217)(142, 206, 158, 222)(143, 207, 159, 223)(146, 210, 165, 229)(147, 211, 163, 227)(148, 212, 168, 232)(150, 214, 170, 234)(151, 215, 169, 233)(152, 216, 172, 236)(154, 218, 175, 239)(156, 220, 177, 241)(157, 221, 176, 240)(160, 224, 181, 245)(161, 225, 180, 244)(162, 226, 183, 247)(164, 228, 186, 250)(166, 230, 188, 252)(167, 231, 187, 251)(171, 235, 191, 255)(173, 237, 190, 254)(174, 238, 189, 253)(178, 242, 185, 249)(179, 243, 184, 248)(182, 246, 192, 256)
	L = (1, 132)(2, 135)(3, 138)(4, 141)(5, 129)(6, 144)(7, 147)(8, 130)(9, 150)(10, 153)(11, 131)(12, 156)(13, 133)(14, 157)(15, 160)(16, 163)(17, 134)(18, 166)(19, 136)(20, 167)(21, 169)(22, 171)(23, 137)(24, 173)(25, 139)(26, 174)(27, 176)(28, 142)(29, 140)(30, 177)(31, 180)(32, 182)(33, 143)(34, 184)(35, 145)(36, 185)(37, 187)(38, 148)(39, 146)(40, 188)(41, 191)(42, 149)(43, 151)(44, 189)(45, 154)(46, 152)(47, 190)(48, 158)(49, 155)(50, 186)(51, 183)(52, 192)(53, 159)(54, 161)(55, 178)(56, 164)(57, 162)(58, 179)(59, 168)(60, 165)(61, 175)(62, 172)(63, 170)(64, 181)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4, 16, 4, 16 ) }
Outer automorphisms :: reflexible
Dual of E13.1017
Graph:: simple bipartite
	v = 64 e = 128 f = 40
	degree seq :: [ 4^64 ]

E13.1011 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 8})
Quotient :: dipole
Aut^+ = (C2 x C2 x D8) : C2 (small group id <64, 128>)
Aut   = $<128, 2011>$ (small group id <128, 2011>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^4, (Y3 * Y2)^2, (R * Y3)^2, (R * Y1)^2, (Y2 * Y1)^2, (Y3^-1 * Y1 * Y3^-1)^2, (R * Y2 * Y3^-1)^2, Y3 * Y1 * Y3 * Y2 * Y3^-1 * Y1 * Y3^-1 * Y2, (Y3 * Y1)^8 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66)(3, 67, 6, 70)(4, 68, 11, 75)(5, 69, 13, 77)(7, 71, 16, 80)(8, 72, 18, 82)(9, 73, 19, 83)(10, 74, 21, 85)(12, 76, 17, 81)(14, 78, 24, 88)(15, 79, 26, 90)(20, 84, 25, 89)(22, 86, 31, 95)(23, 87, 32, 96)(27, 91, 35, 99)(28, 92, 36, 100)(29, 93, 37, 101)(30, 94, 38, 102)(33, 97, 41, 105)(34, 98, 42, 106)(39, 103, 47, 111)(40, 104, 48, 112)(43, 107, 51, 115)(44, 108, 52, 116)(45, 109, 53, 117)(46, 110, 54, 118)(49, 113, 57, 121)(50, 114, 58, 122)(55, 119, 59, 123)(56, 120, 60, 124)(61, 125, 63, 127)(62, 126, 64, 128)(129, 193, 131, 195)(130, 194, 134, 198)(132, 196, 138, 202)(133, 197, 137, 201)(135, 199, 143, 207)(136, 200, 142, 206)(139, 203, 149, 213)(140, 204, 148, 212)(141, 205, 147, 211)(144, 208, 154, 218)(145, 209, 153, 217)(146, 210, 152, 216)(150, 214, 157, 221)(151, 215, 158, 222)(155, 219, 161, 225)(156, 220, 162, 226)(159, 223, 165, 229)(160, 224, 166, 230)(163, 227, 169, 233)(164, 228, 170, 234)(167, 231, 174, 238)(168, 232, 173, 237)(171, 235, 178, 242)(172, 236, 177, 241)(175, 239, 182, 246)(176, 240, 181, 245)(179, 243, 186, 250)(180, 244, 185, 249)(183, 247, 189, 253)(184, 248, 190, 254)(187, 251, 191, 255)(188, 252, 192, 256)
	L = (1, 132)(2, 135)(3, 137)(4, 140)(5, 129)(6, 142)(7, 145)(8, 130)(9, 148)(10, 131)(11, 150)(12, 133)(13, 151)(14, 153)(15, 134)(16, 155)(17, 136)(18, 156)(19, 157)(20, 138)(21, 158)(22, 141)(23, 139)(24, 161)(25, 143)(26, 162)(27, 146)(28, 144)(29, 149)(30, 147)(31, 167)(32, 168)(33, 154)(34, 152)(35, 171)(36, 172)(37, 173)(38, 174)(39, 160)(40, 159)(41, 177)(42, 178)(43, 164)(44, 163)(45, 166)(46, 165)(47, 183)(48, 184)(49, 170)(50, 169)(51, 187)(52, 188)(53, 189)(54, 190)(55, 176)(56, 175)(57, 191)(58, 192)(59, 180)(60, 179)(61, 182)(62, 181)(63, 186)(64, 185)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4, 16, 4, 16 ) }
Outer automorphisms :: reflexible
Dual of E13.1019
Graph:: simple bipartite
	v = 64 e = 128 f = 40
	degree seq :: [ 4^64 ]

E13.1012 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 8})
Quotient :: dipole
Aut^+ = (C8 x C2 x C2) : C2 (small group id <64, 147>)
Aut   = $<128, 2011>$ (small group id <128, 2011>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^4, (R * Y1)^2, (Y2 * Y3)^2, (R * Y3)^2, Y3 * Y1 * Y2 * Y1 * Y2 * Y3, (R * Y2 * Y3^-1)^2, (Y3^-1 * Y1)^8 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66)(3, 67, 9, 73)(4, 68, 12, 76)(5, 69, 14, 78)(6, 70, 15, 79)(7, 71, 18, 82)(8, 72, 20, 84)(10, 74, 21, 85)(11, 75, 22, 86)(13, 77, 19, 83)(16, 80, 25, 89)(17, 81, 26, 90)(23, 87, 31, 95)(24, 88, 32, 96)(27, 91, 35, 99)(28, 92, 36, 100)(29, 93, 37, 101)(30, 94, 38, 102)(33, 97, 41, 105)(34, 98, 42, 106)(39, 103, 47, 111)(40, 104, 48, 112)(43, 107, 51, 115)(44, 108, 52, 116)(45, 109, 53, 117)(46, 110, 54, 118)(49, 113, 57, 121)(50, 114, 58, 122)(55, 119, 59, 123)(56, 120, 60, 124)(61, 125, 64, 128)(62, 126, 63, 127)(129, 193, 131, 195)(130, 194, 134, 198)(132, 196, 139, 203)(133, 197, 138, 202)(135, 199, 145, 209)(136, 200, 144, 208)(137, 201, 147, 211)(140, 204, 149, 213)(141, 205, 143, 207)(142, 206, 150, 214)(146, 210, 153, 217)(148, 212, 154, 218)(151, 215, 158, 222)(152, 216, 157, 221)(155, 219, 162, 226)(156, 220, 161, 225)(159, 223, 165, 229)(160, 224, 166, 230)(163, 227, 169, 233)(164, 228, 170, 234)(167, 231, 174, 238)(168, 232, 173, 237)(171, 235, 178, 242)(172, 236, 177, 241)(175, 239, 181, 245)(176, 240, 182, 246)(179, 243, 185, 249)(180, 244, 186, 250)(183, 247, 190, 254)(184, 248, 189, 253)(187, 251, 192, 256)(188, 252, 191, 255)
	L = (1, 132)(2, 135)(3, 138)(4, 141)(5, 129)(6, 144)(7, 147)(8, 130)(9, 145)(10, 143)(11, 131)(12, 151)(13, 133)(14, 152)(15, 139)(16, 137)(17, 134)(18, 155)(19, 136)(20, 156)(21, 157)(22, 158)(23, 142)(24, 140)(25, 161)(26, 162)(27, 148)(28, 146)(29, 150)(30, 149)(31, 167)(32, 168)(33, 154)(34, 153)(35, 171)(36, 172)(37, 173)(38, 174)(39, 160)(40, 159)(41, 177)(42, 178)(43, 164)(44, 163)(45, 166)(46, 165)(47, 183)(48, 184)(49, 170)(50, 169)(51, 187)(52, 188)(53, 189)(54, 190)(55, 176)(56, 175)(57, 191)(58, 192)(59, 180)(60, 179)(61, 182)(62, 181)(63, 186)(64, 185)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4, 16, 4, 16 ) }
Outer automorphisms :: reflexible
Dual of E13.1020
Graph:: simple bipartite
	v = 64 e = 128 f = 40
	degree seq :: [ 4^64 ]

E13.1013 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 8})
Quotient :: dipole
Aut^+ = (C2 x C2 x D8) : C2 (small group id <64, 128>)
Aut   = $<128, 1728>$ (small group id <128, 1728>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, (R * Y2)^2, (R * Y3)^2, (Y3 * Y1^-1)^2, (R * Y1)^2, (Y3 * Y2)^2, Y1 * Y2 * Y1^-2 * Y2 * Y1, Y2 * Y1 * Y2 * Y1 * Y2 * Y1^-1 * Y2 * Y1^-1, Y1^8 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66, 6, 70, 15, 79, 30, 94, 29, 93, 14, 78, 5, 69)(3, 67, 9, 73, 16, 80, 33, 97, 47, 111, 43, 107, 25, 89, 11, 75)(4, 68, 12, 76, 26, 90, 44, 108, 48, 112, 32, 96, 17, 81, 8, 72)(7, 71, 18, 82, 31, 95, 49, 113, 46, 110, 28, 92, 13, 77, 20, 84)(10, 74, 23, 87, 40, 104, 55, 119, 59, 123, 52, 116, 34, 98, 22, 86)(19, 83, 37, 101, 27, 91, 45, 109, 58, 122, 61, 125, 50, 114, 36, 100)(21, 85, 35, 99, 51, 115, 60, 124, 57, 121, 42, 106, 24, 88, 38, 102)(39, 103, 54, 118, 41, 105, 56, 120, 63, 127, 64, 128, 62, 126, 53, 117)(129, 193, 131, 195)(130, 194, 135, 199)(132, 196, 138, 202)(133, 197, 141, 205)(134, 198, 144, 208)(136, 200, 147, 211)(137, 201, 149, 213)(139, 203, 152, 216)(140, 204, 155, 219)(142, 206, 153, 217)(143, 207, 159, 223)(145, 209, 162, 226)(146, 210, 163, 227)(148, 212, 166, 230)(150, 214, 167, 231)(151, 215, 169, 233)(154, 218, 168, 232)(156, 220, 170, 234)(157, 221, 174, 238)(158, 222, 175, 239)(160, 224, 178, 242)(161, 225, 179, 243)(164, 228, 181, 245)(165, 229, 182, 246)(171, 235, 185, 249)(172, 236, 186, 250)(173, 237, 184, 248)(176, 240, 187, 251)(177, 241, 188, 252)(180, 244, 190, 254)(183, 247, 191, 255)(189, 253, 192, 256)
	L = (1, 132)(2, 136)(3, 138)(4, 129)(5, 140)(6, 145)(7, 147)(8, 130)(9, 150)(10, 131)(11, 151)(12, 133)(13, 155)(14, 154)(15, 160)(16, 162)(17, 134)(18, 164)(19, 135)(20, 165)(21, 167)(22, 137)(23, 139)(24, 169)(25, 168)(26, 142)(27, 141)(28, 173)(29, 172)(30, 176)(31, 178)(32, 143)(33, 180)(34, 144)(35, 181)(36, 146)(37, 148)(38, 182)(39, 149)(40, 153)(41, 152)(42, 184)(43, 183)(44, 157)(45, 156)(46, 186)(47, 187)(48, 158)(49, 189)(50, 159)(51, 190)(52, 161)(53, 163)(54, 166)(55, 171)(56, 170)(57, 191)(58, 174)(59, 175)(60, 192)(61, 177)(62, 179)(63, 185)(64, 188)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4^4 ), ( 4^16 ) }
Outer automorphisms :: reflexible
Dual of E13.1006
Graph:: simple bipartite
	v = 40 e = 128 f = 64
	degree seq :: [ 4^32, 16^8 ]

E13.1014 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 8})
Quotient :: dipole
Aut^+ = (C2 x C2 x D8) : C2 (small group id <64, 128>)
Aut   = $<128, 1728>$ (small group id <128, 1728>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, (R * Y2)^2, (Y3 * Y2)^2, (Y3 * Y1^-1)^2, (R * Y1)^2, (R * Y3)^2, (Y1 * Y2 * Y1)^2, Y2 * Y1 * Y2 * Y1 * Y2 * Y1^-1 * Y2 * Y1^-1, Y1^8 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66, 6, 70, 15, 79, 30, 94, 29, 93, 14, 78, 5, 69)(3, 67, 9, 73, 21, 85, 39, 103, 47, 111, 34, 98, 16, 80, 11, 75)(4, 68, 12, 76, 26, 90, 44, 108, 48, 112, 32, 96, 17, 81, 8, 72)(7, 71, 18, 82, 13, 77, 28, 92, 46, 110, 50, 114, 31, 95, 20, 84)(10, 74, 24, 88, 33, 97, 51, 115, 59, 123, 56, 120, 40, 104, 23, 87)(19, 83, 37, 101, 49, 113, 60, 124, 58, 122, 45, 109, 27, 91, 36, 100)(22, 86, 35, 99, 25, 89, 38, 102, 52, 116, 61, 125, 55, 119, 42, 106)(41, 105, 57, 121, 63, 127, 64, 128, 62, 126, 54, 118, 43, 107, 53, 117)(129, 193, 131, 195)(130, 194, 135, 199)(132, 196, 138, 202)(133, 197, 141, 205)(134, 198, 144, 208)(136, 200, 147, 211)(137, 201, 150, 214)(139, 203, 153, 217)(140, 204, 155, 219)(142, 206, 149, 213)(143, 207, 159, 223)(145, 209, 161, 225)(146, 210, 163, 227)(148, 212, 166, 230)(151, 215, 169, 233)(152, 216, 171, 235)(154, 218, 168, 232)(156, 220, 170, 234)(157, 221, 174, 238)(158, 222, 175, 239)(160, 224, 177, 241)(162, 226, 180, 244)(164, 228, 181, 245)(165, 229, 182, 246)(167, 231, 183, 247)(172, 236, 186, 250)(173, 237, 185, 249)(176, 240, 187, 251)(178, 242, 189, 253)(179, 243, 190, 254)(184, 248, 191, 255)(188, 252, 192, 256)
	L = (1, 132)(2, 136)(3, 138)(4, 129)(5, 140)(6, 145)(7, 147)(8, 130)(9, 151)(10, 131)(11, 152)(12, 133)(13, 155)(14, 154)(15, 160)(16, 161)(17, 134)(18, 164)(19, 135)(20, 165)(21, 168)(22, 169)(23, 137)(24, 139)(25, 171)(26, 142)(27, 141)(28, 173)(29, 172)(30, 176)(31, 177)(32, 143)(33, 144)(34, 179)(35, 181)(36, 146)(37, 148)(38, 182)(39, 184)(40, 149)(41, 150)(42, 185)(43, 153)(44, 157)(45, 156)(46, 186)(47, 187)(48, 158)(49, 159)(50, 188)(51, 162)(52, 190)(53, 163)(54, 166)(55, 191)(56, 167)(57, 170)(58, 174)(59, 175)(60, 178)(61, 192)(62, 180)(63, 183)(64, 189)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4^4 ), ( 4^16 ) }
Outer automorphisms :: reflexible
Dual of E13.1005
Graph:: simple bipartite
	v = 40 e = 128 f = 64
	degree seq :: [ 4^32, 16^8 ]

E13.1015 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 8})
Quotient :: dipole
Aut^+ = (C2 x D16) : C2 (small group id <64, 130>)
Aut   = $<128, 1738>$ (small group id <128, 1738>)
|r| :: 2
Presentation :: [ Y2^2, R^2, (R * Y1)^2, (Y3 * Y2)^2, (Y3 * Y1^-1)^2, Y3^4, (R * Y3)^2, (Y3^-1 * Y1^-1)^2, Y3 * Y1^-3 * Y3^-1 * Y1, (R * Y2 * Y3^-1)^2, Y2 * Y1^2 * Y2 * Y1^-2, (Y2 * Y1^-1 * Y2 * Y1)^2, Y1^-1 * Y3 * Y2 * Y1^2 * Y3^-1 * Y2 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66, 7, 71, 20, 84, 16, 80, 28, 92, 19, 83, 5, 69)(3, 67, 11, 75, 21, 85, 41, 105, 33, 97, 53, 117, 36, 100, 13, 77)(4, 68, 15, 79, 23, 87, 9, 73, 6, 70, 18, 82, 22, 86, 10, 74)(8, 72, 24, 88, 40, 104, 57, 121, 48, 112, 38, 102, 17, 81, 26, 90)(12, 76, 32, 96, 43, 107, 30, 94, 14, 78, 35, 99, 42, 106, 31, 95)(25, 89, 47, 111, 37, 101, 45, 109, 27, 91, 50, 114, 39, 103, 46, 110)(29, 93, 44, 108, 58, 122, 64, 128, 63, 127, 55, 119, 34, 98, 49, 113)(51, 115, 62, 126, 54, 118, 59, 123, 52, 116, 61, 125, 56, 120, 60, 124)(129, 193, 131, 195)(130, 194, 136, 200)(132, 196, 142, 206)(133, 197, 145, 209)(134, 198, 140, 204)(135, 199, 149, 213)(137, 201, 155, 219)(138, 202, 153, 217)(139, 203, 157, 221)(141, 205, 162, 226)(143, 207, 165, 229)(144, 208, 161, 225)(146, 210, 167, 231)(147, 211, 164, 228)(148, 212, 168, 232)(150, 214, 171, 235)(151, 215, 170, 234)(152, 216, 172, 236)(154, 218, 177, 241)(156, 220, 176, 240)(158, 222, 180, 244)(159, 223, 179, 243)(160, 224, 182, 246)(163, 227, 184, 248)(166, 230, 183, 247)(169, 233, 186, 250)(173, 237, 188, 252)(174, 238, 187, 251)(175, 239, 189, 253)(178, 242, 190, 254)(181, 245, 191, 255)(185, 249, 192, 256)
	L = (1, 132)(2, 137)(3, 140)(4, 144)(5, 146)(6, 129)(7, 150)(8, 153)(9, 156)(10, 130)(11, 158)(12, 161)(13, 163)(14, 131)(15, 133)(16, 134)(17, 165)(18, 148)(19, 151)(20, 143)(21, 170)(22, 147)(23, 135)(24, 173)(25, 176)(26, 178)(27, 136)(28, 138)(29, 179)(30, 181)(31, 139)(32, 141)(33, 142)(34, 182)(35, 169)(36, 171)(37, 168)(38, 174)(39, 145)(40, 167)(41, 160)(42, 164)(43, 149)(44, 187)(45, 166)(46, 152)(47, 154)(48, 155)(49, 189)(50, 185)(51, 191)(52, 157)(53, 159)(54, 186)(55, 188)(56, 162)(57, 175)(58, 184)(59, 183)(60, 172)(61, 192)(62, 177)(63, 180)(64, 190)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4^4 ), ( 4^16 ) }
Outer automorphisms :: reflexible
Dual of E13.1007
Graph:: simple bipartite
	v = 40 e = 128 f = 64
	degree seq :: [ 4^32, 16^8 ]

E13.1016 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 8})
Quotient :: dipole
Aut^+ = (C2 x D16) : C2 (small group id <64, 130>)
Aut   = $<128, 1740>$ (small group id <128, 1740>)
|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, Y1^-1 * Y3^-1 * Y1 * Y3 * Y1^-2, (R * Y2 * Y3^-1)^2, (Y2 * Y1^-2)^2, (Y2 * Y1^-1)^4 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66, 7, 71, 20, 84, 16, 80, 28, 92, 19, 83, 5, 69)(3, 67, 11, 75, 29, 93, 51, 115, 34, 98, 42, 106, 21, 85, 13, 77)(4, 68, 15, 79, 23, 87, 9, 73, 6, 70, 18, 82, 22, 86, 10, 74)(8, 72, 24, 88, 17, 81, 38, 102, 48, 112, 57, 121, 40, 104, 26, 90)(12, 76, 33, 97, 41, 105, 31, 95, 14, 78, 36, 100, 43, 107, 32, 96)(25, 89, 47, 111, 39, 103, 45, 109, 27, 91, 50, 114, 37, 101, 46, 110)(30, 94, 44, 108, 35, 99, 49, 113, 58, 122, 64, 128, 63, 127, 53, 117)(52, 116, 61, 125, 56, 120, 59, 123, 54, 118, 62, 126, 55, 119, 60, 124)(129, 193, 131, 195)(130, 194, 136, 200)(132, 196, 142, 206)(133, 197, 145, 209)(134, 198, 140, 204)(135, 199, 149, 213)(137, 201, 155, 219)(138, 202, 153, 217)(139, 203, 158, 222)(141, 205, 163, 227)(143, 207, 165, 229)(144, 208, 162, 226)(146, 210, 167, 231)(147, 211, 157, 221)(148, 212, 168, 232)(150, 214, 171, 235)(151, 215, 169, 233)(152, 216, 172, 236)(154, 218, 177, 241)(156, 220, 176, 240)(159, 223, 182, 246)(160, 224, 180, 244)(161, 225, 183, 247)(164, 228, 184, 248)(166, 230, 181, 245)(170, 234, 186, 250)(173, 237, 188, 252)(174, 238, 187, 251)(175, 239, 189, 253)(178, 242, 190, 254)(179, 243, 191, 255)(185, 249, 192, 256)
	L = (1, 132)(2, 137)(3, 140)(4, 144)(5, 146)(6, 129)(7, 150)(8, 153)(9, 156)(10, 130)(11, 159)(12, 162)(13, 164)(14, 131)(15, 133)(16, 134)(17, 165)(18, 148)(19, 151)(20, 143)(21, 169)(22, 147)(23, 135)(24, 173)(25, 176)(26, 178)(27, 136)(28, 138)(29, 171)(30, 180)(31, 170)(32, 139)(33, 141)(34, 142)(35, 183)(36, 179)(37, 168)(38, 175)(39, 145)(40, 167)(41, 157)(42, 160)(43, 149)(44, 187)(45, 185)(46, 152)(47, 154)(48, 155)(49, 189)(50, 166)(51, 161)(52, 186)(53, 190)(54, 158)(55, 191)(56, 163)(57, 174)(58, 182)(59, 192)(60, 172)(61, 181)(62, 177)(63, 184)(64, 188)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4^4 ), ( 4^16 ) }
Outer automorphisms :: reflexible
Dual of E13.1008
Graph:: simple bipartite
	v = 40 e = 128 f = 64
	degree seq :: [ 4^32, 16^8 ]

E13.1017 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 8})
Quotient :: dipole
Aut^+ = (C2 x (C8 : C2)) : C2 (small group id <64, 150>)
Aut   = $<128, 1996>$ (small group id <128, 1996>)
|r| :: 2
Presentation :: [ Y2^2, R^2, (Y3^-1 * Y2)^2, (R * Y1)^2, (Y3^-1 * Y1)^2, Y3^4, (R * Y3)^2, (Y3^-1 * Y1^-1)^2, (R * Y2 * Y3^-1)^2, (Y2 * Y1^-2)^2, Y1^-2 * Y2 * Y3 * Y1^-1 * Y3^-1 * Y2 * Y1^-1, (Y2 * Y1^-1)^4, Y1^8 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66, 7, 71, 20, 84, 44, 108, 43, 107, 19, 83, 5, 69)(3, 67, 11, 75, 29, 93, 56, 120, 62, 126, 49, 113, 21, 85, 13, 77)(4, 68, 15, 79, 37, 101, 59, 123, 63, 127, 47, 111, 22, 86, 10, 74)(6, 70, 18, 82, 42, 106, 61, 125, 64, 128, 46, 110, 23, 87, 9, 73)(8, 72, 24, 88, 17, 81, 40, 104, 60, 124, 34, 98, 45, 109, 26, 90)(12, 76, 33, 97, 48, 112, 38, 102, 54, 118, 25, 89, 55, 119, 32, 96)(14, 78, 36, 100, 50, 114, 41, 105, 53, 117, 27, 91, 58, 122, 31, 95)(16, 80, 28, 92, 51, 115, 30, 94, 52, 116, 35, 99, 57, 121, 39, 103)(129, 193, 131, 195)(130, 194, 136, 200)(132, 196, 142, 206)(133, 197, 145, 209)(134, 198, 140, 204)(135, 199, 149, 213)(137, 201, 155, 219)(138, 202, 153, 217)(139, 203, 158, 222)(141, 205, 163, 227)(143, 207, 166, 230)(144, 208, 162, 226)(146, 210, 169, 233)(147, 211, 157, 221)(148, 212, 173, 237)(150, 214, 178, 242)(151, 215, 176, 240)(152, 216, 180, 244)(154, 218, 185, 249)(156, 220, 184, 248)(159, 223, 174, 238)(160, 224, 175, 239)(161, 225, 187, 251)(164, 228, 189, 253)(165, 229, 186, 250)(167, 231, 177, 241)(168, 232, 179, 243)(170, 234, 183, 247)(171, 235, 188, 252)(172, 236, 190, 254)(181, 245, 191, 255)(182, 246, 192, 256)
	L = (1, 132)(2, 137)(3, 140)(4, 144)(5, 146)(6, 129)(7, 150)(8, 153)(9, 156)(10, 130)(11, 159)(12, 162)(13, 164)(14, 131)(15, 133)(16, 134)(17, 166)(18, 167)(19, 165)(20, 174)(21, 176)(22, 179)(23, 135)(24, 181)(25, 184)(26, 186)(27, 136)(28, 138)(29, 183)(30, 175)(31, 173)(32, 139)(33, 141)(34, 142)(35, 187)(36, 188)(37, 185)(38, 177)(39, 143)(40, 178)(41, 145)(42, 147)(43, 189)(44, 191)(45, 160)(46, 158)(47, 148)(48, 168)(49, 169)(50, 149)(51, 151)(52, 192)(53, 190)(54, 152)(55, 154)(56, 155)(57, 170)(58, 157)(59, 171)(60, 161)(61, 163)(62, 182)(63, 180)(64, 172)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4^4 ), ( 4^16 ) }
Outer automorphisms :: reflexible
Dual of E13.1010
Graph:: simple bipartite
	v = 40 e = 128 f = 64
	degree seq :: [ 4^32, 16^8 ]

E13.1018 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 8})
Quotient :: dipole
Aut^+ = (C2 x D16) : C2 (small group id <64, 130>)
Aut   = $<128, 1996>$ (small group id <128, 1996>)
|r| :: 2
Presentation :: [ Y2^2, R^2, (R * Y1)^2, (Y3 * Y2)^2, (Y3^-1 * Y1)^2, (R * Y3)^2, Y3^4, (Y3^-1 * Y1^-1)^2, (R * Y2 * Y3^-1)^2, Y1^-1 * Y2 * Y1 * Y2 * Y1^-2, (Y2 * Y1)^4 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66, 7, 71, 20, 84, 40, 104, 33, 97, 19, 83, 5, 69)(3, 67, 11, 75, 26, 90, 8, 72, 24, 88, 17, 81, 21, 85, 13, 77)(4, 68, 15, 79, 35, 99, 54, 118, 57, 121, 42, 106, 22, 86, 10, 74)(6, 70, 18, 82, 39, 103, 52, 116, 58, 122, 41, 105, 23, 87, 9, 73)(12, 76, 31, 95, 43, 107, 38, 102, 46, 110, 27, 91, 50, 114, 30, 94)(14, 78, 34, 98, 44, 108, 36, 100, 47, 111, 25, 89, 48, 112, 29, 93)(16, 80, 28, 92, 45, 109, 59, 123, 64, 128, 63, 127, 55, 119, 37, 101)(32, 96, 51, 115, 62, 126, 49, 113, 61, 125, 56, 120, 60, 124, 53, 117)(129, 193, 131, 195)(130, 194, 136, 200)(132, 196, 142, 206)(133, 197, 145, 209)(134, 198, 140, 204)(135, 199, 149, 213)(137, 201, 155, 219)(138, 202, 153, 217)(139, 203, 148, 212)(141, 205, 161, 225)(143, 207, 164, 228)(144, 208, 160, 224)(146, 210, 166, 230)(147, 211, 154, 218)(150, 214, 172, 236)(151, 215, 171, 235)(152, 216, 168, 232)(156, 220, 177, 241)(157, 221, 170, 234)(158, 222, 169, 233)(159, 223, 180, 244)(162, 226, 182, 246)(163, 227, 176, 240)(165, 229, 184, 248)(167, 231, 178, 242)(173, 237, 188, 252)(174, 238, 186, 250)(175, 239, 185, 249)(179, 243, 187, 251)(181, 245, 191, 255)(183, 247, 190, 254)(189, 253, 192, 256)
	L = (1, 132)(2, 137)(3, 140)(4, 144)(5, 146)(6, 129)(7, 150)(8, 153)(9, 156)(10, 130)(11, 157)(12, 160)(13, 162)(14, 131)(15, 133)(16, 134)(17, 164)(18, 165)(19, 163)(20, 169)(21, 171)(22, 173)(23, 135)(24, 174)(25, 177)(26, 178)(27, 136)(28, 138)(29, 179)(30, 139)(31, 141)(32, 142)(33, 180)(34, 181)(35, 183)(36, 184)(37, 143)(38, 145)(39, 147)(40, 185)(41, 187)(42, 148)(43, 188)(44, 149)(45, 151)(46, 189)(47, 152)(48, 154)(49, 155)(50, 190)(51, 158)(52, 191)(53, 159)(54, 161)(55, 167)(56, 166)(57, 192)(58, 168)(59, 170)(60, 172)(61, 175)(62, 176)(63, 182)(64, 186)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4^4 ), ( 4^16 ) }
Outer automorphisms :: reflexible
Dual of E13.1009
Graph:: simple bipartite
	v = 40 e = 128 f = 64
	degree seq :: [ 4^32, 16^8 ]

E13.1019 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 8})
Quotient :: dipole
Aut^+ = (C2 x C2 x D8) : C2 (small group id <64, 128>)
Aut   = $<128, 2011>$ (small group id <128, 2011>)
|r| :: 2
Presentation :: [ Y2^2, R^2, (R * Y1)^2, (Y3 * Y2)^2, (Y3 * Y1^-1)^2, (R * Y3)^2, (Y1^-1 * Y2)^2, (Y3^-1 * Y1^-1)^2, Y3^4, (R * Y2 * Y3^-1)^2, Y1^8 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66, 7, 71, 18, 82, 33, 97, 32, 96, 17, 81, 5, 69)(3, 67, 11, 75, 25, 89, 41, 105, 48, 112, 34, 98, 19, 83, 8, 72)(4, 68, 14, 78, 29, 93, 45, 109, 49, 113, 36, 100, 20, 84, 10, 74)(6, 70, 16, 80, 31, 95, 47, 111, 50, 114, 35, 99, 21, 85, 9, 73)(12, 76, 23, 87, 37, 101, 52, 116, 59, 123, 56, 120, 42, 106, 27, 91)(13, 77, 22, 86, 38, 102, 51, 115, 60, 124, 55, 119, 43, 107, 26, 90)(15, 79, 24, 88, 39, 103, 53, 117, 61, 125, 58, 122, 46, 110, 30, 94)(28, 92, 44, 108, 57, 121, 63, 127, 64, 128, 62, 126, 54, 118, 40, 104)(129, 193, 131, 195)(130, 194, 136, 200)(132, 196, 141, 205)(133, 197, 139, 203)(134, 198, 140, 204)(135, 199, 147, 211)(137, 201, 151, 215)(138, 202, 150, 214)(142, 206, 154, 218)(143, 207, 156, 220)(144, 208, 155, 219)(145, 209, 153, 217)(146, 210, 162, 226)(148, 212, 166, 230)(149, 213, 165, 229)(152, 216, 168, 232)(157, 221, 171, 235)(158, 222, 172, 236)(159, 223, 170, 234)(160, 224, 169, 233)(161, 225, 176, 240)(163, 227, 180, 244)(164, 228, 179, 243)(167, 231, 182, 246)(173, 237, 183, 247)(174, 238, 185, 249)(175, 239, 184, 248)(177, 241, 188, 252)(178, 242, 187, 251)(181, 245, 190, 254)(186, 250, 191, 255)(189, 253, 192, 256)
	L = (1, 132)(2, 137)(3, 140)(4, 143)(5, 144)(6, 129)(7, 148)(8, 150)(9, 152)(10, 130)(11, 154)(12, 156)(13, 131)(14, 133)(15, 134)(16, 158)(17, 157)(18, 163)(19, 165)(20, 167)(21, 135)(22, 168)(23, 136)(24, 138)(25, 170)(26, 172)(27, 139)(28, 141)(29, 174)(30, 142)(31, 145)(32, 175)(33, 177)(34, 179)(35, 181)(36, 146)(37, 182)(38, 147)(39, 149)(40, 151)(41, 183)(42, 185)(43, 153)(44, 155)(45, 160)(46, 159)(47, 186)(48, 187)(49, 189)(50, 161)(51, 190)(52, 162)(53, 164)(54, 166)(55, 191)(56, 169)(57, 171)(58, 173)(59, 192)(60, 176)(61, 178)(62, 180)(63, 184)(64, 188)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4^4 ), ( 4^16 ) }
Outer automorphisms :: reflexible
Dual of E13.1011
Graph:: simple bipartite
	v = 40 e = 128 f = 64
	degree seq :: [ 4^32, 16^8 ]

E13.1020 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 8})
Quotient :: dipole
Aut^+ = (C8 x C2 x C2) : C2 (small group id <64, 147>)
Aut   = $<128, 2011>$ (small group id <128, 2011>)
|r| :: 2
Presentation :: [ Y2^2, R^2, (Y3^-1 * Y2)^2, (R * Y1)^2, (Y3 * Y2)^2, (Y3 * Y1^-1)^2, (Y3^-1 * Y1^-1)^2, (R * Y3)^2, Y3^4, (R * Y2 * Y3^-1)^2, Y1 * Y3^-1 * Y2 * Y3 * Y1 * Y2, (Y2 * Y1^-2)^2, Y1^8 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66, 7, 71, 20, 84, 37, 101, 36, 100, 19, 83, 5, 69)(3, 67, 11, 75, 29, 93, 45, 109, 52, 116, 42, 106, 21, 85, 13, 77)(4, 68, 15, 79, 33, 97, 49, 113, 53, 117, 40, 104, 22, 86, 10, 74)(6, 70, 18, 82, 35, 99, 51, 115, 54, 118, 39, 103, 23, 87, 9, 73)(8, 72, 24, 88, 17, 81, 34, 98, 50, 114, 56, 120, 38, 102, 26, 90)(12, 76, 25, 89, 41, 105, 55, 119, 62, 126, 61, 125, 46, 110, 32, 96)(14, 78, 27, 91, 43, 107, 57, 121, 63, 127, 60, 124, 47, 111, 31, 95)(16, 80, 28, 92, 44, 108, 58, 122, 64, 128, 59, 123, 48, 112, 30, 94)(129, 193, 131, 195)(130, 194, 136, 200)(132, 196, 142, 206)(133, 197, 145, 209)(134, 198, 140, 204)(135, 199, 149, 213)(137, 201, 155, 219)(138, 202, 153, 217)(139, 203, 158, 222)(141, 205, 156, 220)(143, 207, 160, 224)(144, 208, 152, 216)(146, 210, 159, 223)(147, 211, 157, 221)(148, 212, 166, 230)(150, 214, 171, 235)(151, 215, 169, 233)(154, 218, 172, 236)(161, 225, 175, 239)(162, 226, 176, 240)(163, 227, 174, 238)(164, 228, 178, 242)(165, 229, 180, 244)(167, 231, 185, 249)(168, 232, 183, 247)(170, 234, 186, 250)(173, 237, 187, 251)(177, 241, 189, 253)(179, 243, 188, 252)(181, 245, 191, 255)(182, 246, 190, 254)(184, 248, 192, 256)
	L = (1, 132)(2, 137)(3, 140)(4, 144)(5, 146)(6, 129)(7, 150)(8, 153)(9, 156)(10, 130)(11, 159)(12, 152)(13, 155)(14, 131)(15, 133)(16, 134)(17, 160)(18, 158)(19, 161)(20, 167)(21, 169)(22, 172)(23, 135)(24, 142)(25, 141)(26, 171)(27, 136)(28, 138)(29, 174)(30, 143)(31, 145)(32, 139)(33, 176)(34, 175)(35, 147)(36, 179)(37, 181)(38, 183)(39, 186)(40, 148)(41, 154)(42, 185)(43, 149)(44, 151)(45, 188)(46, 162)(47, 157)(48, 163)(49, 164)(50, 189)(51, 187)(52, 190)(53, 192)(54, 165)(55, 170)(56, 191)(57, 166)(58, 168)(59, 177)(60, 178)(61, 173)(62, 184)(63, 180)(64, 182)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4^4 ), ( 4^16 ) }
Outer automorphisms :: reflexible
Dual of E13.1012
Graph:: simple bipartite
	v = 40 e = 128 f = 64
	degree seq :: [ 4^32, 16^8 ]

E13.1021 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 8})
Quotient :: dipole
Aut^+ = ((C4 x C4) : C2) : C2 (small group id <64, 134>)
Aut   = $<128, 1746>$ (small group id <128, 1746>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, Y3^2, R^2, (Y3 * Y2)^2, (R * Y2)^2, (R * Y3)^2, (R * Y1)^2, (Y1 * Y3 * Y1 * Y2)^2, (Y3 * Y2 * Y1)^4, Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2, (Y2 * Y1)^8 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66)(3, 67, 7, 71)(4, 68, 9, 73)(5, 69, 10, 74)(6, 70, 12, 76)(8, 72, 15, 79)(11, 75, 20, 84)(13, 77, 23, 87)(14, 78, 21, 85)(16, 80, 19, 83)(17, 81, 28, 92)(18, 82, 29, 93)(22, 86, 34, 98)(24, 88, 37, 101)(25, 89, 36, 100)(26, 90, 39, 103)(27, 91, 40, 104)(30, 94, 44, 108)(31, 95, 43, 107)(32, 96, 46, 110)(33, 97, 47, 111)(35, 99, 49, 113)(38, 102, 45, 109)(41, 105, 54, 118)(42, 106, 55, 119)(48, 112, 60, 124)(50, 114, 59, 123)(51, 115, 62, 126)(52, 116, 58, 122)(53, 117, 56, 120)(57, 121, 64, 128)(61, 125, 63, 127)(129, 193, 131, 195)(130, 194, 133, 197)(132, 196, 136, 200)(134, 198, 139, 203)(135, 199, 141, 205)(137, 201, 144, 208)(138, 202, 146, 210)(140, 204, 149, 213)(142, 206, 152, 216)(143, 207, 153, 217)(145, 209, 155, 219)(147, 211, 158, 222)(148, 212, 159, 223)(150, 214, 161, 225)(151, 215, 163, 227)(154, 218, 166, 230)(156, 220, 167, 231)(157, 221, 170, 234)(160, 224, 173, 237)(162, 226, 174, 238)(164, 228, 178, 242)(165, 229, 179, 243)(168, 232, 180, 244)(169, 233, 181, 245)(171, 235, 184, 248)(172, 236, 185, 249)(175, 239, 186, 250)(176, 240, 187, 251)(177, 241, 189, 253)(182, 246, 190, 254)(183, 247, 191, 255)(188, 252, 192, 256)
	L = (1, 132)(2, 134)(3, 136)(4, 129)(5, 139)(6, 130)(7, 142)(8, 131)(9, 145)(10, 147)(11, 133)(12, 150)(13, 152)(14, 135)(15, 154)(16, 155)(17, 137)(18, 158)(19, 138)(20, 160)(21, 161)(22, 140)(23, 164)(24, 141)(25, 166)(26, 143)(27, 144)(28, 169)(29, 171)(30, 146)(31, 173)(32, 148)(33, 149)(34, 176)(35, 178)(36, 151)(37, 180)(38, 153)(39, 181)(40, 179)(41, 156)(42, 184)(43, 157)(44, 186)(45, 159)(46, 187)(47, 185)(48, 162)(49, 190)(50, 163)(51, 168)(52, 165)(53, 167)(54, 189)(55, 192)(56, 170)(57, 175)(58, 172)(59, 174)(60, 191)(61, 182)(62, 177)(63, 188)(64, 183)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4, 16, 4, 16 ) }
Outer automorphisms :: reflexible
Dual of E13.1028
Graph:: simple bipartite
	v = 64 e = 128 f = 40
	degree seq :: [ 4^64 ]

E13.1022 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 8})
Quotient :: dipole
Aut^+ = ((C4 x C4) : C2) : C2 (small group id <64, 134>)
Aut   = $<128, 1746>$ (small group id <128, 1746>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^4, (Y3 * Y2)^2, (R * Y1)^2, (R * Y3)^2, Y3^-1 * Y1 * Y3^2 * Y1 * Y3^-1, (R * Y2 * Y3^-1)^2, Y3^-1 * Y2 * Y3^2 * Y2 * Y3^-1, Y3 * Y1 * Y3^-1 * Y1 * Y3 * Y1 * Y3 * Y1, (Y3 * Y1 * Y2 * Y1)^2, Y2 * Y1 * Y3 * Y2 * Y3^-1 * Y1 * Y2 * Y1 * Y2 * Y1 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66)(3, 67, 9, 73)(4, 68, 12, 76)(5, 69, 14, 78)(6, 70, 15, 79)(7, 71, 18, 82)(8, 72, 20, 84)(10, 74, 24, 88)(11, 75, 26, 90)(13, 77, 19, 83)(16, 80, 34, 98)(17, 81, 36, 100)(21, 85, 41, 105)(22, 86, 40, 104)(23, 87, 37, 101)(25, 89, 44, 108)(27, 91, 33, 97)(28, 92, 39, 103)(29, 93, 38, 102)(30, 94, 32, 96)(31, 95, 51, 115)(35, 99, 54, 118)(42, 106, 55, 119)(43, 107, 58, 122)(45, 109, 52, 116)(46, 110, 59, 123)(47, 111, 60, 124)(48, 112, 53, 117)(49, 113, 56, 120)(50, 114, 57, 121)(61, 125, 63, 127)(62, 126, 64, 128)(129, 193, 131, 195)(130, 194, 134, 198)(132, 196, 139, 203)(133, 197, 138, 202)(135, 199, 145, 209)(136, 200, 144, 208)(137, 201, 149, 213)(140, 204, 155, 219)(141, 205, 153, 217)(142, 206, 158, 222)(143, 207, 159, 223)(146, 210, 165, 229)(147, 211, 163, 227)(148, 212, 168, 232)(150, 214, 171, 235)(151, 215, 170, 234)(152, 216, 173, 237)(154, 218, 176, 240)(156, 220, 178, 242)(157, 221, 177, 241)(160, 224, 181, 245)(161, 225, 180, 244)(162, 226, 183, 247)(164, 228, 186, 250)(166, 230, 188, 252)(167, 231, 187, 251)(169, 233, 182, 246)(172, 236, 179, 243)(174, 238, 190, 254)(175, 239, 189, 253)(184, 248, 192, 256)(185, 249, 191, 255)
	L = (1, 132)(2, 135)(3, 138)(4, 141)(5, 129)(6, 144)(7, 147)(8, 130)(9, 150)(10, 153)(11, 131)(12, 156)(13, 133)(14, 157)(15, 160)(16, 163)(17, 134)(18, 166)(19, 136)(20, 167)(21, 170)(22, 172)(23, 137)(24, 174)(25, 139)(26, 175)(27, 177)(28, 142)(29, 140)(30, 178)(31, 180)(32, 182)(33, 143)(34, 184)(35, 145)(36, 185)(37, 187)(38, 148)(39, 146)(40, 188)(41, 181)(42, 179)(43, 149)(44, 151)(45, 189)(46, 154)(47, 152)(48, 190)(49, 158)(50, 155)(51, 171)(52, 169)(53, 159)(54, 161)(55, 191)(56, 164)(57, 162)(58, 192)(59, 168)(60, 165)(61, 176)(62, 173)(63, 186)(64, 183)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4, 16, 4, 16 ) }
Outer automorphisms :: reflexible
Dual of E13.1029
Graph:: simple bipartite
	v = 64 e = 128 f = 40
	degree seq :: [ 4^64 ]

E13.1023 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 8})
Quotient :: dipole
Aut^+ = ((C4 x C4) : C2) : C2 (small group id <64, 134>)
Aut   = $<128, 1746>$ (small group id <128, 1746>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, Y3^2, R^2, (Y3 * Y2)^2, (R * Y2)^2, (R * Y3)^2, (R * Y1)^2, (Y1 * Y2)^4, (Y3 * Y1 * Y3 * Y2 * Y1)^2, (Y3 * Y1)^8 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66)(3, 67, 7, 71)(4, 68, 9, 73)(5, 69, 10, 74)(6, 70, 12, 76)(8, 72, 15, 79)(11, 75, 20, 84)(13, 77, 18, 82)(14, 78, 24, 88)(16, 80, 27, 91)(17, 81, 29, 93)(19, 83, 31, 95)(21, 85, 34, 98)(22, 86, 36, 100)(23, 87, 37, 101)(25, 89, 40, 104)(26, 90, 35, 99)(28, 92, 33, 97)(30, 94, 43, 107)(32, 96, 46, 110)(38, 102, 51, 115)(39, 103, 52, 116)(41, 105, 50, 114)(42, 106, 54, 118)(44, 108, 57, 121)(45, 109, 58, 122)(47, 111, 56, 120)(48, 112, 60, 124)(49, 113, 61, 125)(53, 117, 59, 123)(55, 119, 63, 127)(62, 126, 64, 128)(129, 193, 131, 195)(130, 194, 133, 197)(132, 196, 136, 200)(134, 198, 139, 203)(135, 199, 141, 205)(137, 201, 144, 208)(138, 202, 146, 210)(140, 204, 149, 213)(142, 206, 151, 215)(143, 207, 153, 217)(145, 209, 156, 220)(147, 211, 158, 222)(148, 212, 160, 224)(150, 214, 163, 227)(152, 216, 166, 230)(154, 218, 169, 233)(155, 219, 168, 232)(157, 221, 167, 231)(159, 223, 172, 236)(161, 225, 175, 239)(162, 226, 174, 238)(164, 228, 173, 237)(165, 229, 177, 241)(170, 234, 181, 245)(171, 235, 183, 247)(176, 240, 187, 251)(178, 242, 186, 250)(179, 243, 189, 253)(180, 244, 184, 248)(182, 246, 190, 254)(185, 249, 191, 255)(188, 252, 192, 256)
	L = (1, 132)(2, 134)(3, 136)(4, 129)(5, 139)(6, 130)(7, 142)(8, 131)(9, 145)(10, 147)(11, 133)(12, 150)(13, 151)(14, 135)(15, 154)(16, 156)(17, 137)(18, 158)(19, 138)(20, 161)(21, 163)(22, 140)(23, 141)(24, 167)(25, 169)(26, 143)(27, 170)(28, 144)(29, 166)(30, 146)(31, 173)(32, 175)(33, 148)(34, 176)(35, 149)(36, 172)(37, 178)(38, 157)(39, 152)(40, 181)(41, 153)(42, 155)(43, 184)(44, 164)(45, 159)(46, 187)(47, 160)(48, 162)(49, 186)(50, 165)(51, 190)(52, 183)(53, 168)(54, 189)(55, 180)(56, 171)(57, 192)(58, 177)(59, 174)(60, 191)(61, 182)(62, 179)(63, 188)(64, 185)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4, 16, 4, 16 ) }
Outer automorphisms :: reflexible
Dual of E13.1027
Graph:: simple bipartite
	v = 64 e = 128 f = 40
	degree seq :: [ 4^64 ]

E13.1024 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 8})
Quotient :: dipole
Aut^+ = ((C4 x C4) : C2) : C2 (small group id <64, 134>)
Aut   = $<128, 1753>$ (small group id <128, 1753>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^4, (Y3 * Y2)^2, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, (Y3^-1 * Y1 * Y3^-1)^2, Y3^-1 * Y1 * Y3^-1 * Y1 * Y3 * Y1 * Y3^-1 * Y1, Y2 * Y1 * Y3 * Y1 * Y2 * Y1 * Y3^-1 * Y1, (R * Y2 * Y1 * Y2)^2, (Y2 * Y1)^4, Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3 * Y2 * Y1 * Y3^-1 * Y2 * Y1 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66)(3, 67, 9, 73)(4, 68, 12, 76)(5, 69, 14, 78)(6, 70, 15, 79)(7, 71, 18, 82)(8, 72, 20, 84)(10, 74, 24, 88)(11, 75, 26, 90)(13, 77, 19, 83)(16, 80, 34, 98)(17, 81, 36, 100)(21, 85, 31, 95)(22, 86, 37, 101)(23, 87, 40, 104)(25, 89, 43, 107)(27, 91, 32, 96)(28, 92, 39, 103)(29, 93, 38, 102)(30, 94, 33, 97)(35, 99, 52, 116)(41, 105, 53, 117)(42, 106, 56, 120)(44, 108, 50, 114)(45, 109, 58, 122)(46, 110, 57, 121)(47, 111, 51, 115)(48, 112, 55, 119)(49, 113, 54, 118)(59, 123, 62, 126)(60, 124, 64, 128)(61, 125, 63, 127)(129, 193, 131, 195)(130, 194, 134, 198)(132, 196, 139, 203)(133, 197, 138, 202)(135, 199, 145, 209)(136, 200, 144, 208)(137, 201, 149, 213)(140, 204, 155, 219)(141, 205, 153, 217)(142, 206, 158, 222)(143, 207, 159, 223)(146, 210, 165, 229)(147, 211, 163, 227)(148, 212, 168, 232)(150, 214, 170, 234)(151, 215, 169, 233)(152, 216, 172, 236)(154, 218, 175, 239)(156, 220, 177, 241)(157, 221, 176, 240)(160, 224, 179, 243)(161, 225, 178, 242)(162, 226, 181, 245)(164, 228, 184, 248)(166, 230, 186, 250)(167, 231, 185, 249)(171, 235, 187, 251)(173, 237, 189, 253)(174, 238, 188, 252)(180, 244, 190, 254)(182, 246, 192, 256)(183, 247, 191, 255)
	L = (1, 132)(2, 135)(3, 138)(4, 141)(5, 129)(6, 144)(7, 147)(8, 130)(9, 150)(10, 153)(11, 131)(12, 156)(13, 133)(14, 157)(15, 160)(16, 163)(17, 134)(18, 166)(19, 136)(20, 167)(21, 169)(22, 171)(23, 137)(24, 173)(25, 139)(26, 174)(27, 176)(28, 142)(29, 140)(30, 177)(31, 178)(32, 180)(33, 143)(34, 182)(35, 145)(36, 183)(37, 185)(38, 148)(39, 146)(40, 186)(41, 187)(42, 149)(43, 151)(44, 188)(45, 154)(46, 152)(47, 189)(48, 158)(49, 155)(50, 190)(51, 159)(52, 161)(53, 191)(54, 164)(55, 162)(56, 192)(57, 168)(58, 165)(59, 170)(60, 175)(61, 172)(62, 179)(63, 184)(64, 181)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4, 16, 4, 16 ) }
Outer automorphisms :: reflexible
Dual of E13.1030
Graph:: simple bipartite
	v = 64 e = 128 f = 40
	degree seq :: [ 4^64 ]

E13.1025 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 8})
Quotient :: dipole
Aut^+ = (C2 x D16) : C2 (small group id <64, 153>)
Aut   = $<128, 2020>$ (small group id <128, 2020>)
|r| :: 4
Presentation :: [ Y1^2, Y2^2, (Y3^-1 * Y2)^2, R * Y1 * R^-1 * Y1, R^-1 * Y3 * R * Y3, R^4, Y3^-1 * Y2 * Y1 * Y2 * Y1 * Y3^-1, R * Y1 * Y2 * Y1 * R * Y2, (Y3^-2 * Y1)^2, R^-1 * Y2 * Y3^-1 * R * Y2 * Y3^-1, (Y3 * Y1 * Y3^-1 * Y1)^2 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66)(3, 67, 9, 73)(4, 68, 12, 76)(5, 69, 14, 78)(6, 70, 16, 80)(7, 71, 19, 83)(8, 72, 21, 85)(10, 74, 24, 88)(11, 75, 25, 89)(13, 77, 22, 86)(15, 79, 20, 84)(17, 81, 34, 98)(18, 82, 35, 99)(23, 87, 40, 104)(26, 90, 43, 107)(27, 91, 49, 113)(28, 92, 38, 102)(29, 93, 46, 110)(30, 94, 33, 97)(31, 95, 41, 105)(32, 96, 52, 116)(36, 100, 53, 117)(37, 101, 59, 123)(39, 103, 56, 120)(42, 106, 62, 126)(44, 108, 57, 121)(45, 109, 61, 125)(47, 111, 54, 118)(48, 112, 63, 127)(50, 114, 60, 124)(51, 115, 55, 119)(58, 122, 64, 128)(129, 193, 131, 195)(130, 194, 134, 198)(132, 196, 139, 203)(133, 197, 138, 202)(135, 199, 146, 210)(136, 200, 145, 209)(137, 201, 150, 214)(140, 204, 152, 216)(141, 205, 154, 218)(142, 206, 158, 222)(143, 207, 144, 208)(147, 211, 162, 226)(148, 212, 164, 228)(149, 213, 168, 232)(151, 215, 170, 234)(153, 217, 174, 238)(155, 219, 173, 237)(156, 220, 172, 236)(157, 221, 176, 240)(159, 223, 179, 243)(160, 224, 161, 225)(163, 227, 184, 248)(165, 229, 183, 247)(166, 230, 182, 246)(167, 231, 186, 250)(169, 233, 189, 253)(171, 235, 188, 252)(175, 239, 187, 251)(177, 241, 185, 249)(178, 242, 181, 245)(180, 244, 191, 255)(190, 254, 192, 256)
	L = (1, 132)(2, 135)(3, 138)(4, 141)(5, 129)(6, 145)(7, 148)(8, 130)(9, 151)(10, 144)(11, 131)(12, 155)(13, 157)(14, 159)(15, 133)(16, 161)(17, 137)(18, 134)(19, 165)(20, 167)(21, 169)(22, 136)(23, 171)(24, 172)(25, 175)(26, 139)(27, 142)(28, 140)(29, 178)(30, 173)(31, 180)(32, 143)(33, 181)(34, 182)(35, 185)(36, 146)(37, 149)(38, 147)(39, 188)(40, 183)(41, 190)(42, 150)(43, 186)(44, 153)(45, 152)(46, 156)(47, 191)(48, 154)(49, 184)(50, 160)(51, 158)(52, 187)(53, 176)(54, 163)(55, 162)(56, 166)(57, 192)(58, 164)(59, 174)(60, 170)(61, 168)(62, 177)(63, 179)(64, 189)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4, 16, 4, 16 ) }
Outer automorphisms :: reflexible
Dual of E13.1031
Graph:: simple bipartite
	v = 64 e = 128 f = 40
	degree seq :: [ 4^64 ]

E13.1026 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 8})
Quotient :: dipole
Aut^+ = (C2 x D16) : C2 (small group id <64, 153>)
Aut   = $<128, 2024>$ (small group id <128, 2024>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, (Y3 * Y2)^2, (R * Y1)^2, (R * Y3)^2, (Y3 * Y1 * Y3)^2, Y1 * Y2 * Y3^-2 * Y1 * Y2, (R * Y2 * Y3^-1)^2, Y3^8, (Y3 * Y1 * Y3^-1 * Y1)^2 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66)(3, 67, 9, 73)(4, 68, 12, 76)(5, 69, 14, 78)(6, 70, 16, 80)(7, 71, 19, 83)(8, 72, 21, 85)(10, 74, 24, 88)(11, 75, 26, 90)(13, 77, 22, 86)(15, 79, 20, 84)(17, 81, 34, 98)(18, 82, 36, 100)(23, 87, 37, 101)(25, 89, 43, 107)(27, 91, 33, 97)(28, 92, 50, 114)(29, 93, 39, 103)(30, 94, 51, 115)(31, 95, 41, 105)(32, 96, 44, 108)(35, 99, 53, 117)(38, 102, 60, 124)(40, 104, 61, 125)(42, 106, 54, 118)(45, 109, 56, 120)(46, 110, 55, 119)(47, 111, 63, 127)(48, 112, 59, 123)(49, 113, 58, 122)(52, 116, 62, 126)(57, 121, 64, 128)(129, 193, 131, 195)(130, 194, 134, 198)(132, 196, 139, 203)(133, 197, 138, 202)(135, 199, 146, 210)(136, 200, 145, 209)(137, 201, 148, 212)(140, 204, 155, 219)(141, 205, 144, 208)(142, 206, 154, 218)(143, 207, 153, 217)(147, 211, 165, 229)(149, 213, 164, 228)(150, 214, 163, 227)(151, 215, 168, 232)(152, 216, 172, 236)(156, 220, 176, 240)(157, 221, 177, 241)(158, 222, 161, 225)(159, 223, 173, 237)(160, 224, 175, 239)(162, 226, 182, 246)(166, 230, 186, 250)(167, 231, 187, 251)(169, 233, 183, 247)(170, 234, 185, 249)(171, 235, 190, 254)(174, 238, 188, 252)(178, 242, 184, 248)(179, 243, 191, 255)(180, 244, 181, 245)(189, 253, 192, 256)
	L = (1, 132)(2, 135)(3, 138)(4, 141)(5, 129)(6, 145)(7, 148)(8, 130)(9, 146)(10, 153)(11, 131)(12, 156)(13, 158)(14, 159)(15, 133)(16, 139)(17, 163)(18, 134)(19, 166)(20, 168)(21, 169)(22, 136)(23, 137)(24, 173)(25, 175)(26, 176)(27, 177)(28, 142)(29, 140)(30, 180)(31, 172)(32, 143)(33, 144)(34, 183)(35, 185)(36, 186)(37, 187)(38, 149)(39, 147)(40, 190)(41, 182)(42, 150)(43, 151)(44, 188)(45, 154)(46, 152)(47, 181)(48, 155)(49, 191)(50, 189)(51, 157)(52, 160)(53, 161)(54, 178)(55, 164)(56, 162)(57, 171)(58, 165)(59, 192)(60, 179)(61, 167)(62, 170)(63, 174)(64, 184)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4, 16, 4, 16 ) }
Outer automorphisms :: reflexible
Dual of E13.1032
Graph:: simple bipartite
	v = 64 e = 128 f = 40
	degree seq :: [ 4^64 ]

E13.1027 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 8})
Quotient :: dipole
Aut^+ = ((C4 x C4) : C2) : C2 (small group id <64, 134>)
Aut   = $<128, 1746>$ (small group id <128, 1746>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, (R * Y2)^2, (R * Y3)^2, (Y3 * Y1^-1)^2, (R * Y1)^2, (Y3 * Y2)^2, Y1^-1 * Y2 * Y1^2 * Y2 * Y1^-1, Y1^8, (Y2 * Y1^-1)^4 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66, 6, 70, 15, 79, 30, 94, 29, 93, 14, 78, 5, 69)(3, 67, 9, 73, 16, 80, 33, 97, 48, 112, 44, 108, 25, 89, 11, 75)(4, 68, 12, 76, 26, 90, 45, 109, 49, 113, 32, 96, 17, 81, 8, 72)(7, 71, 18, 82, 31, 95, 50, 114, 47, 111, 28, 92, 13, 77, 20, 84)(10, 74, 23, 87, 42, 106, 59, 123, 61, 125, 53, 117, 34, 98, 22, 86)(19, 83, 37, 101, 27, 91, 46, 110, 60, 124, 62, 126, 51, 115, 36, 100)(21, 85, 39, 103, 52, 116, 38, 102, 55, 119, 35, 99, 24, 88, 41, 105)(40, 104, 58, 122, 43, 107, 54, 118, 64, 128, 56, 120, 63, 127, 57, 121)(129, 193, 131, 195)(130, 194, 135, 199)(132, 196, 138, 202)(133, 197, 141, 205)(134, 198, 144, 208)(136, 200, 147, 211)(137, 201, 149, 213)(139, 203, 152, 216)(140, 204, 155, 219)(142, 206, 153, 217)(143, 207, 159, 223)(145, 209, 162, 226)(146, 210, 163, 227)(148, 212, 166, 230)(150, 214, 168, 232)(151, 215, 171, 235)(154, 218, 170, 234)(156, 220, 167, 231)(157, 221, 175, 239)(158, 222, 176, 240)(160, 224, 179, 243)(161, 225, 180, 244)(164, 228, 182, 246)(165, 229, 184, 248)(169, 233, 178, 242)(172, 236, 183, 247)(173, 237, 188, 252)(174, 238, 185, 249)(177, 241, 189, 253)(181, 245, 191, 255)(186, 250, 190, 254)(187, 251, 192, 256)
	L = (1, 132)(2, 136)(3, 138)(4, 129)(5, 140)(6, 145)(7, 147)(8, 130)(9, 150)(10, 131)(11, 151)(12, 133)(13, 155)(14, 154)(15, 160)(16, 162)(17, 134)(18, 164)(19, 135)(20, 165)(21, 168)(22, 137)(23, 139)(24, 171)(25, 170)(26, 142)(27, 141)(28, 174)(29, 173)(30, 177)(31, 179)(32, 143)(33, 181)(34, 144)(35, 182)(36, 146)(37, 148)(38, 184)(39, 185)(40, 149)(41, 186)(42, 153)(43, 152)(44, 187)(45, 157)(46, 156)(47, 188)(48, 189)(49, 158)(50, 190)(51, 159)(52, 191)(53, 161)(54, 163)(55, 192)(56, 166)(57, 167)(58, 169)(59, 172)(60, 175)(61, 176)(62, 178)(63, 180)(64, 183)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4^4 ), ( 4^16 ) }
Outer automorphisms :: reflexible
Dual of E13.1023
Graph:: simple bipartite
	v = 40 e = 128 f = 64
	degree seq :: [ 4^32, 16^8 ]

E13.1028 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 8})
Quotient :: dipole
Aut^+ = ((C4 x C4) : C2) : C2 (small group id <64, 134>)
Aut   = $<128, 1746>$ (small group id <128, 1746>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, (R * Y2)^2, (Y3 * Y2)^2, (R * Y3)^2, (Y3 * Y1^-1)^2, (R * Y1)^2, (Y1^-1 * Y2 * Y1^-1)^2, (Y2 * Y1 * Y2 * Y1^-1)^2, Y1^8 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66, 6, 70, 15, 79, 30, 94, 29, 93, 14, 78, 5, 69)(3, 67, 9, 73, 21, 85, 39, 103, 48, 112, 34, 98, 16, 80, 11, 75)(4, 68, 12, 76, 26, 90, 45, 109, 49, 113, 32, 96, 17, 81, 8, 72)(7, 71, 18, 82, 13, 77, 28, 92, 47, 111, 51, 115, 31, 95, 20, 84)(10, 74, 24, 88, 33, 97, 52, 116, 61, 125, 57, 121, 40, 104, 23, 87)(19, 83, 37, 101, 50, 114, 62, 126, 60, 124, 46, 110, 27, 91, 36, 100)(22, 86, 41, 105, 25, 89, 44, 108, 53, 117, 35, 99, 54, 118, 38, 102)(42, 106, 56, 120, 64, 128, 55, 119, 63, 127, 59, 123, 43, 107, 58, 122)(129, 193, 131, 195)(130, 194, 135, 199)(132, 196, 138, 202)(133, 197, 141, 205)(134, 198, 144, 208)(136, 200, 147, 211)(137, 201, 150, 214)(139, 203, 153, 217)(140, 204, 155, 219)(142, 206, 149, 213)(143, 207, 159, 223)(145, 209, 161, 225)(146, 210, 163, 227)(148, 212, 166, 230)(151, 215, 170, 234)(152, 216, 171, 235)(154, 218, 168, 232)(156, 220, 172, 236)(157, 221, 175, 239)(158, 222, 176, 240)(160, 224, 178, 242)(162, 226, 181, 245)(164, 228, 183, 247)(165, 229, 184, 248)(167, 231, 182, 246)(169, 233, 179, 243)(173, 237, 188, 252)(174, 238, 187, 251)(177, 241, 189, 253)(180, 244, 191, 255)(185, 249, 192, 256)(186, 250, 190, 254)
	L = (1, 132)(2, 136)(3, 138)(4, 129)(5, 140)(6, 145)(7, 147)(8, 130)(9, 151)(10, 131)(11, 152)(12, 133)(13, 155)(14, 154)(15, 160)(16, 161)(17, 134)(18, 164)(19, 135)(20, 165)(21, 168)(22, 170)(23, 137)(24, 139)(25, 171)(26, 142)(27, 141)(28, 174)(29, 173)(30, 177)(31, 178)(32, 143)(33, 144)(34, 180)(35, 183)(36, 146)(37, 148)(38, 184)(39, 185)(40, 149)(41, 186)(42, 150)(43, 153)(44, 187)(45, 157)(46, 156)(47, 188)(48, 189)(49, 158)(50, 159)(51, 190)(52, 162)(53, 191)(54, 192)(55, 163)(56, 166)(57, 167)(58, 169)(59, 172)(60, 175)(61, 176)(62, 179)(63, 181)(64, 182)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4^4 ), ( 4^16 ) }
Outer automorphisms :: reflexible
Dual of E13.1021
Graph:: simple bipartite
	v = 40 e = 128 f = 64
	degree seq :: [ 4^32, 16^8 ]

E13.1029 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 8})
Quotient :: dipole
Aut^+ = ((C4 x C4) : C2) : C2 (small group id <64, 134>)
Aut   = $<128, 1746>$ (small group id <128, 1746>)
|r| :: 2
Presentation :: [ Y2^2, R^2, Y3^4, (R * Y1)^2, (Y3 * Y2)^2, (R * Y3)^2, Y3^4, (Y1 * Y3)^2, Y3^-1 * Y1 * Y2 * Y1^-1 * Y2 * Y3^-1, (Y1^-1 * R * Y2)^2, Y1^-1 * Y3^-1 * Y1 * Y3^-1 * Y1^-2, (R * Y2 * Y3^-1)^2, (Y1^-1 * Y3^-1 * Y2)^2, (Y2 * Y1^-2)^2, Y3^-1 * Y1 * Y3^-1 * Y1^5, Y3^-2 * Y1^2 * Y3^2 * Y1^-2, (Y1^-1 * Y2 * Y3^-1 * Y1^-1)^2 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66, 7, 71, 22, 86, 46, 110, 42, 106, 20, 84, 5, 69)(3, 67, 11, 75, 33, 97, 59, 123, 62, 126, 50, 114, 23, 87, 13, 77)(4, 68, 15, 79, 24, 88, 10, 74, 32, 96, 48, 112, 43, 107, 17, 81)(6, 70, 21, 85, 25, 89, 53, 117, 45, 109, 19, 83, 31, 95, 9, 73)(8, 72, 26, 90, 18, 82, 44, 108, 60, 124, 64, 128, 47, 111, 28, 92)(12, 76, 37, 101, 56, 120, 36, 100, 61, 125, 63, 127, 49, 113, 27, 91)(14, 78, 40, 104, 55, 119, 29, 93, 57, 121, 39, 103, 51, 115, 35, 99)(16, 80, 34, 98, 52, 116, 38, 102, 58, 122, 30, 94, 54, 118, 41, 105)(129, 193, 131, 195)(130, 194, 136, 200)(132, 196, 142, 206)(133, 197, 146, 210)(134, 198, 140, 204)(135, 199, 151, 215)(137, 201, 157, 221)(138, 202, 155, 219)(139, 203, 162, 226)(141, 205, 166, 230)(143, 207, 165, 229)(144, 208, 156, 220)(145, 209, 164, 228)(147, 211, 167, 231)(148, 212, 161, 225)(149, 213, 168, 232)(150, 214, 175, 239)(152, 216, 179, 243)(153, 217, 177, 241)(154, 218, 182, 246)(158, 222, 178, 242)(159, 223, 184, 248)(160, 224, 185, 249)(163, 227, 181, 245)(169, 233, 187, 251)(170, 234, 188, 252)(171, 235, 183, 247)(172, 236, 186, 250)(173, 237, 189, 253)(174, 238, 190, 254)(176, 240, 191, 255)(180, 244, 192, 256)
	L = (1, 132)(2, 137)(3, 140)(4, 144)(5, 147)(6, 129)(7, 152)(8, 155)(9, 158)(10, 130)(11, 163)(12, 156)(13, 167)(14, 131)(15, 133)(16, 134)(17, 170)(18, 165)(19, 166)(20, 171)(21, 169)(22, 149)(23, 177)(24, 180)(25, 135)(26, 183)(27, 178)(28, 142)(29, 136)(30, 138)(31, 148)(32, 186)(33, 184)(34, 145)(35, 188)(36, 139)(37, 141)(38, 143)(39, 146)(40, 175)(41, 176)(42, 181)(43, 182)(44, 185)(45, 174)(46, 160)(47, 191)(48, 150)(49, 192)(50, 157)(51, 151)(52, 153)(53, 162)(54, 159)(55, 161)(56, 154)(57, 190)(58, 173)(59, 168)(60, 164)(61, 172)(62, 189)(63, 187)(64, 179)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4^4 ), ( 4^16 ) }
Outer automorphisms :: reflexible
Dual of E13.1022
Graph:: simple bipartite
	v = 40 e = 128 f = 64
	degree seq :: [ 4^32, 16^8 ]

E13.1030 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 8})
Quotient :: dipole
Aut^+ = ((C4 x C4) : C2) : C2 (small group id <64, 134>)
Aut   = $<128, 1753>$ (small group id <128, 1753>)
|r| :: 2
Presentation :: [ Y2^2, R^2, Y3^4, (Y3 * Y2)^2, (Y3 * Y1^-1)^2, (R * Y1)^2, (Y3^-1 * Y1^-1)^2, (R * Y3)^2, Y1 * Y3^-1 * Y1^-3 * Y3, (R * Y2 * Y3^-1)^2, Y1^-1 * Y2 * Y1^2 * Y2 * Y1^-1, Y3^-2 * Y1^-4, (Y2 * Y1^-1)^4, (Y2 * Y1 * Y3^-1 * Y2 * Y1^-1)^2 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66, 7, 71, 20, 84, 16, 80, 28, 92, 19, 83, 5, 69)(3, 67, 11, 75, 21, 85, 41, 105, 33, 97, 55, 119, 36, 100, 13, 77)(4, 68, 15, 79, 23, 87, 9, 73, 6, 70, 18, 82, 22, 86, 10, 74)(8, 72, 24, 88, 40, 104, 58, 122, 48, 112, 38, 102, 17, 81, 26, 90)(12, 76, 32, 96, 43, 107, 30, 94, 14, 78, 35, 99, 42, 106, 31, 95)(25, 89, 47, 111, 37, 101, 45, 109, 27, 91, 50, 114, 39, 103, 46, 110)(29, 93, 51, 115, 59, 123, 49, 113, 61, 125, 44, 108, 34, 98, 53, 117)(52, 116, 63, 127, 56, 120, 62, 126, 54, 118, 64, 128, 57, 121, 60, 124)(129, 193, 131, 195)(130, 194, 136, 200)(132, 196, 142, 206)(133, 197, 145, 209)(134, 198, 140, 204)(135, 199, 149, 213)(137, 201, 155, 219)(138, 202, 153, 217)(139, 203, 157, 221)(141, 205, 162, 226)(143, 207, 165, 229)(144, 208, 161, 225)(146, 210, 167, 231)(147, 211, 164, 228)(148, 212, 168, 232)(150, 214, 171, 235)(151, 215, 170, 234)(152, 216, 172, 236)(154, 218, 177, 241)(156, 220, 176, 240)(158, 222, 182, 246)(159, 223, 180, 244)(160, 224, 184, 248)(163, 227, 185, 249)(166, 230, 179, 243)(169, 233, 187, 251)(173, 237, 190, 254)(174, 238, 188, 252)(175, 239, 191, 255)(178, 242, 192, 256)(181, 245, 186, 250)(183, 247, 189, 253)
	L = (1, 132)(2, 137)(3, 140)(4, 144)(5, 146)(6, 129)(7, 150)(8, 153)(9, 156)(10, 130)(11, 158)(12, 161)(13, 163)(14, 131)(15, 133)(16, 134)(17, 165)(18, 148)(19, 151)(20, 143)(21, 170)(22, 147)(23, 135)(24, 173)(25, 176)(26, 178)(27, 136)(28, 138)(29, 180)(30, 183)(31, 139)(32, 141)(33, 142)(34, 184)(35, 169)(36, 171)(37, 168)(38, 174)(39, 145)(40, 167)(41, 160)(42, 164)(43, 149)(44, 188)(45, 166)(46, 152)(47, 154)(48, 155)(49, 191)(50, 186)(51, 190)(52, 189)(53, 192)(54, 157)(55, 159)(56, 187)(57, 162)(58, 175)(59, 185)(60, 179)(61, 182)(62, 172)(63, 181)(64, 177)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4^4 ), ( 4^16 ) }
Outer automorphisms :: reflexible
Dual of E13.1024
Graph:: simple bipartite
	v = 40 e = 128 f = 64
	degree seq :: [ 4^32, 16^8 ]

E13.1031 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 8})
Quotient :: dipole
Aut^+ = (C2 x D16) : C2 (small group id <64, 153>)
Aut   = $<128, 2020>$ (small group id <128, 2020>)
|r| :: 4
Presentation :: [ Y2^2, (Y3 * Y2)^2, Y1^-1 * Y3^2 * Y1^-1, (Y3^-1 * Y1^-1)^2, R^4, R^-1 * Y1 * R * Y1, R^-1 * Y3 * R * Y3, R^-1 * Y2 * Y3^-1 * R * Y2 * Y3^-1, Y1^-1 * Y2 * Y3^-2 * Y2 * Y1^-1, Y2 * R * Y2 * Y1 * R * Y1^-1, Y3^2 * Y1^6, (Y2 * Y1 * Y2 * Y1^-1)^2 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66, 7, 71, 19, 83, 38, 102, 35, 99, 18, 82, 5, 69)(3, 67, 11, 75, 27, 91, 49, 113, 57, 121, 40, 104, 20, 84, 13, 77)(4, 68, 15, 79, 21, 85, 10, 74, 26, 90, 9, 73, 6, 70, 16, 80)(8, 72, 22, 86, 17, 81, 37, 101, 56, 120, 58, 122, 39, 103, 24, 88)(12, 76, 31, 95, 48, 112, 30, 94, 41, 105, 29, 93, 14, 78, 32, 96)(23, 87, 45, 109, 34, 98, 44, 108, 36, 100, 43, 107, 25, 89, 46, 110)(28, 92, 50, 114, 33, 97, 55, 119, 59, 123, 42, 106, 60, 124, 47, 111)(51, 115, 61, 125, 53, 117, 63, 127, 54, 118, 64, 128, 52, 116, 62, 126)(129, 193, 131, 195)(130, 194, 136, 200)(132, 196, 142, 206)(133, 197, 145, 209)(134, 198, 140, 204)(135, 199, 148, 212)(137, 201, 153, 217)(138, 202, 151, 215)(139, 203, 156, 220)(141, 205, 161, 225)(143, 207, 162, 226)(144, 208, 164, 228)(146, 210, 155, 219)(147, 211, 167, 231)(149, 213, 169, 233)(150, 214, 170, 234)(152, 216, 175, 239)(154, 218, 176, 240)(157, 221, 180, 244)(158, 222, 179, 243)(159, 223, 181, 245)(160, 224, 182, 246)(163, 227, 184, 248)(165, 229, 183, 247)(166, 230, 185, 249)(168, 232, 187, 251)(171, 235, 190, 254)(172, 236, 189, 253)(173, 237, 191, 255)(174, 238, 192, 256)(177, 241, 188, 252)(178, 242, 186, 250)
	L = (1, 132)(2, 137)(3, 140)(4, 135)(5, 138)(6, 129)(7, 149)(8, 151)(9, 147)(10, 130)(11, 157)(12, 155)(13, 158)(14, 131)(15, 133)(16, 163)(17, 162)(18, 134)(19, 144)(20, 142)(21, 166)(22, 171)(23, 145)(24, 172)(25, 136)(26, 146)(27, 176)(28, 179)(29, 177)(30, 139)(31, 141)(32, 168)(33, 181)(34, 184)(35, 143)(36, 167)(37, 174)(38, 154)(39, 153)(40, 159)(41, 148)(42, 189)(43, 165)(44, 150)(45, 152)(46, 186)(47, 191)(48, 185)(49, 160)(50, 192)(51, 161)(52, 156)(53, 187)(54, 188)(55, 190)(56, 164)(57, 169)(58, 173)(59, 182)(60, 180)(61, 175)(62, 170)(63, 178)(64, 183)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4^4 ), ( 4^16 ) }
Outer automorphisms :: reflexible
Dual of E13.1025
Graph:: simple bipartite
	v = 40 e = 128 f = 64
	degree seq :: [ 4^32, 16^8 ]

E13.1032 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 8})
Quotient :: dipole
Aut^+ = (C2 x D16) : C2 (small group id <64, 153>)
Aut   = $<128, 2024>$ (small group id <128, 2024>)
|r| :: 2
Presentation :: [ Y2^2, R^2, (Y3^-1 * Y1^-1)^2, (R * Y1)^2, Y1^-1 * Y3^-2 * Y1^-1, (R * Y3)^2, (Y3 * Y2)^2, (R * Y2 * Y3^-1)^2, (Y3 * Y1^-1 * Y2 * Y1^-1)^2, (Y2 * Y1 * Y2 * Y1^-1)^2, Y1^-2 * Y3^2 * Y1^-4, Y2 * Y3^-2 * Y2 * Y1 * Y2 * Y1^-2 * Y2 * Y1^-1, Y1^-1 * Y2 * Y1^2 * Y2 * Y1 * Y2 * Y3^2 * Y2 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66, 7, 71, 18, 82, 35, 99, 32, 96, 15, 79, 5, 69)(3, 67, 11, 75, 25, 89, 45, 109, 54, 118, 39, 103, 19, 83, 13, 77)(4, 68, 9, 73, 6, 70, 10, 74, 20, 84, 37, 101, 31, 95, 16, 80)(8, 72, 21, 85, 17, 81, 34, 98, 52, 116, 56, 120, 36, 100, 23, 87)(12, 76, 27, 91, 14, 78, 28, 92, 46, 110, 57, 121, 38, 102, 29, 93)(22, 86, 41, 105, 24, 88, 42, 106, 33, 97, 53, 117, 55, 119, 43, 107)(26, 90, 47, 111, 30, 94, 51, 115, 58, 122, 40, 104, 59, 123, 44, 108)(48, 112, 62, 126, 49, 113, 63, 127, 50, 114, 60, 124, 64, 128, 61, 125)(129, 193, 131, 195)(130, 194, 136, 200)(132, 196, 142, 206)(133, 197, 145, 209)(134, 198, 140, 204)(135, 199, 147, 211)(137, 201, 152, 216)(138, 202, 150, 214)(139, 203, 154, 218)(141, 205, 158, 222)(143, 207, 153, 217)(144, 208, 161, 225)(146, 210, 164, 228)(148, 212, 166, 230)(149, 213, 168, 232)(151, 215, 172, 236)(155, 219, 177, 241)(156, 220, 176, 240)(157, 221, 178, 242)(159, 223, 174, 238)(160, 224, 180, 244)(162, 226, 179, 243)(163, 227, 182, 246)(165, 229, 183, 247)(167, 231, 186, 250)(169, 233, 189, 253)(170, 234, 188, 252)(171, 235, 190, 254)(173, 237, 187, 251)(175, 239, 184, 248)(181, 245, 191, 255)(185, 249, 192, 256)
	L = (1, 132)(2, 137)(3, 140)(4, 143)(5, 144)(6, 129)(7, 134)(8, 150)(9, 133)(10, 130)(11, 155)(12, 147)(13, 157)(14, 131)(15, 159)(16, 160)(17, 152)(18, 138)(19, 166)(20, 135)(21, 169)(22, 164)(23, 171)(24, 136)(25, 142)(26, 176)(27, 141)(28, 139)(29, 167)(30, 177)(31, 163)(32, 165)(33, 145)(34, 170)(35, 148)(36, 183)(37, 146)(38, 182)(39, 185)(40, 188)(41, 151)(42, 149)(43, 184)(44, 189)(45, 156)(46, 153)(47, 190)(48, 187)(49, 154)(50, 158)(51, 191)(52, 161)(53, 162)(54, 174)(55, 180)(56, 181)(57, 173)(58, 178)(59, 192)(60, 179)(61, 168)(62, 172)(63, 175)(64, 186)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4^4 ), ( 4^16 ) }
Outer automorphisms :: reflexible
Dual of E13.1026
Graph:: simple bipartite
	v = 40 e = 128 f = 64
	degree seq :: [ 4^32, 16^8 ]

E13.1033 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 2, 8})
Quotient :: halfedge^2
Aut^+ = (C2 x D16) : C2 (small group id <64, 153>)
Aut   = $<128, 924>$ (small group id <128, 924>)
|r| :: 2
Presentation :: [ 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 * Y2 * Y3 * Y1 * Y2 * Y1 * Y3 * Y1, (Y2 * Y3)^8 ]
Map:: polytopal non-degenerate
	R = (1, 66, 2, 65)(3, 71, 7, 67)(4, 73, 9, 68)(5, 75, 11, 69)(6, 77, 13, 70)(8, 76, 12, 72)(10, 78, 14, 74)(15, 89, 25, 79)(16, 90, 26, 80)(17, 91, 27, 81)(18, 93, 29, 82)(19, 94, 30, 83)(20, 96, 32, 84)(21, 97, 33, 85)(22, 98, 34, 86)(23, 100, 36, 87)(24, 101, 37, 88)(28, 99, 35, 92)(31, 102, 38, 95)(39, 119, 55, 103)(40, 120, 56, 104)(41, 118, 54, 105)(42, 117, 53, 106)(43, 116, 52, 107)(44, 115, 51, 108)(45, 114, 50, 109)(46, 113, 49, 110)(47, 123, 59, 111)(48, 124, 60, 112)(57, 125, 61, 121)(58, 126, 62, 122)(63, 128, 64, 127)
	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, 52)(44, 50)(46, 58)(54, 62)(55, 63)(56, 61)(57, 60)(59, 64)(65, 68)(66, 70)(67, 72)(69, 76)(71, 80)(73, 79)(74, 83)(75, 85)(77, 84)(78, 88)(81, 92)(82, 94)(86, 99)(87, 101)(89, 104)(90, 103)(91, 106)(93, 108)(95, 110)(96, 112)(97, 111)(98, 114)(100, 116)(102, 118)(105, 117)(107, 121)(109, 113)(115, 125)(119, 126)(120, 127)(122, 123)(124, 128)
	local type(s) :: { ( 16^4 ) }
Outer automorphisms :: reflexible
Dual of E13.1034
Transitivity :: VT+ AT
Graph:: simple bipartite
	v = 32 e = 64 f = 8
	degree seq :: [ 4^32 ]

E13.1034 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 2, 8})
Quotient :: halfedge^2
Aut^+ = (C2 x D16) : C2 (small group id <64, 153>)
Aut   = $<128, 924>$ (small group id <128, 924>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, R * Y3 * R * Y2, (R * Y1)^2, Y1^-2 * Y2 * Y3 * Y2 * Y3, Y3 * Y1^-1 * Y3 * Y2 * Y1 * Y2, (Y1^-1 * Y2 * Y1^-1)^2, Y2 * Y1 * Y3 * Y1 * Y2 * Y1^-1 * Y3 * Y1, (Y3 * Y1 * Y3 * Y1^-1)^2, Y1^8 ]
Map:: polytopal non-degenerate
	R = (1, 66, 2, 70, 6, 82, 18, 102, 38, 101, 37, 81, 17, 69, 5, 65)(3, 73, 9, 91, 27, 113, 49, 121, 57, 106, 42, 83, 19, 75, 11, 67)(4, 76, 12, 96, 32, 117, 53, 122, 58, 107, 43, 84, 20, 78, 14, 68)(7, 85, 21, 79, 15, 99, 35, 119, 55, 124, 60, 103, 39, 87, 23, 71)(8, 88, 24, 80, 16, 100, 36, 120, 56, 125, 61, 104, 40, 90, 26, 72)(10, 86, 22, 105, 41, 123, 59, 118, 54, 98, 34, 77, 13, 89, 25, 74)(28, 114, 50, 94, 30, 116, 52, 126, 62, 108, 44, 128, 64, 110, 46, 92)(29, 115, 51, 95, 31, 112, 48, 127, 63, 109, 45, 97, 33, 111, 47, 93)
	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, 54)(35, 52)(36, 51)(37, 55)(38, 57)(41, 58)(42, 62)(47, 61)(49, 64)(50, 60)(53, 63)(56, 59)(65, 68)(66, 72)(67, 74)(69, 80)(70, 84)(71, 86)(73, 93)(75, 95)(76, 92)(77, 91)(78, 94)(79, 89)(81, 96)(82, 104)(83, 105)(85, 109)(87, 111)(88, 108)(90, 110)(97, 113)(98, 119)(99, 112)(100, 116)(101, 120)(102, 122)(103, 123)(106, 127)(107, 126)(114, 125)(115, 124)(117, 128)(118, 121)
	local type(s) :: { ( 4^16 ) }
Outer automorphisms :: reflexible
Dual of E13.1033
Transitivity :: VT+ AT
Graph:: bipartite
	v = 8 e = 64 f = 32
	degree seq :: [ 16^8 ]

E13.1035 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 2, 8})
Quotient :: edge^2
Aut^+ = (C2 x D16) : C2 (small group id <64, 153>)
Aut   = $<128, 924>$ (small group id <128, 924>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, Y3^2, R^2, (R * Y3)^2, R * Y1 * R * Y2, Y3 * Y1 * Y2 * Y3 * Y2 * Y1, Y3 * Y1 * Y3 * Y2 * Y3 * Y1 * Y2 * Y1 * Y2 * Y1 * Y3 * Y2, (Y1 * Y2)^8 ]
Map:: polytopal
	R = (1, 65, 4, 68)(2, 66, 6, 70)(3, 67, 8, 72)(5, 69, 12, 76)(7, 71, 16, 80)(9, 73, 18, 82)(10, 74, 19, 83)(11, 75, 21, 85)(13, 77, 23, 87)(14, 78, 24, 88)(15, 79, 26, 90)(17, 81, 28, 92)(20, 84, 33, 97)(22, 86, 35, 99)(25, 89, 40, 104)(27, 91, 42, 106)(29, 93, 44, 108)(30, 94, 45, 109)(31, 95, 46, 110)(32, 96, 48, 112)(34, 98, 50, 114)(36, 100, 52, 116)(37, 101, 53, 117)(38, 102, 54, 118)(39, 103, 56, 120)(41, 105, 51, 115)(43, 107, 49, 113)(47, 111, 60, 124)(55, 119, 62, 126)(57, 121, 63, 127)(58, 122, 59, 123)(61, 125, 64, 128)(129, 130)(131, 135)(132, 137)(133, 139)(134, 141)(136, 145)(138, 144)(140, 150)(142, 149)(143, 153)(146, 157)(147, 159)(148, 160)(151, 164)(152, 166)(154, 169)(155, 168)(156, 165)(158, 163)(161, 177)(162, 176)(167, 183)(170, 178)(171, 179)(172, 185)(173, 184)(174, 186)(175, 187)(180, 189)(181, 188)(182, 190)(191, 192)(193, 195)(194, 197)(196, 202)(198, 206)(199, 207)(200, 205)(201, 204)(203, 212)(208, 219)(209, 218)(210, 222)(211, 221)(213, 226)(214, 225)(215, 229)(216, 228)(217, 231)(220, 235)(223, 234)(224, 239)(227, 243)(230, 242)(232, 246)(233, 248)(236, 250)(237, 249)(238, 240)(241, 252)(244, 254)(245, 253)(247, 255)(251, 256)
	L = (1, 129)(2, 130)(3, 131)(4, 132)(5, 133)(6, 134)(7, 135)(8, 136)(9, 137)(10, 138)(11, 139)(12, 140)(13, 141)(14, 142)(15, 143)(16, 144)(17, 145)(18, 146)(19, 147)(20, 148)(21, 149)(22, 150)(23, 151)(24, 152)(25, 153)(26, 154)(27, 155)(28, 156)(29, 157)(30, 158)(31, 159)(32, 160)(33, 161)(34, 162)(35, 163)(36, 164)(37, 165)(38, 166)(39, 167)(40, 168)(41, 169)(42, 170)(43, 171)(44, 172)(45, 173)(46, 174)(47, 175)(48, 176)(49, 177)(50, 178)(51, 179)(52, 180)(53, 181)(54, 182)(55, 183)(56, 184)(57, 185)(58, 186)(59, 187)(60, 188)(61, 189)(62, 190)(63, 191)(64, 192)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 32, 32 ), ( 32^4 ) }
Outer automorphisms :: reflexible
Dual of E13.1038
Graph:: simple bipartite
	v = 96 e = 128 f = 8
	degree seq :: [ 2^64, 4^32 ]

E13.1036 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 2, 8})
Quotient :: edge^2
Aut^+ = (C2 x D16) : C2 (small group id <64, 153>)
Aut   = $<128, 924>$ (small group id <128, 924>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, R * Y2 * R * Y1, (R * Y3)^2, Y3 * Y1 * Y2 * Y3^-1 * Y2 * Y1, Y2 * Y3^2 * Y1 * Y2 * Y1, (Y3^-1 * Y1 * Y3^-1)^2, (Y1 * Y3^-1 * Y2)^2, (Y3^2 * Y2)^2, Y3 * Y2 * Y3^-1 * Y2 * Y3 * Y1 * Y3^-1 * Y1, Y3^8, (Y3^3 * Y2 * Y1)^2 ]
Map:: polytopal
	R = (1, 65, 4, 68, 14, 78, 34, 98, 55, 119, 37, 101, 17, 81, 5, 69)(2, 66, 7, 71, 23, 87, 45, 109, 63, 127, 48, 112, 26, 90, 8, 72)(3, 67, 10, 74, 18, 82, 38, 102, 58, 122, 52, 116, 29, 93, 11, 75)(6, 70, 19, 83, 9, 73, 27, 91, 50, 114, 60, 124, 40, 104, 20, 84)(12, 76, 30, 94, 15, 79, 35, 99, 56, 120, 61, 125, 49, 113, 31, 95)(13, 77, 32, 96, 16, 80, 36, 100, 39, 103, 59, 123, 54, 118, 33, 97)(21, 85, 41, 105, 24, 88, 46, 110, 64, 128, 53, 117, 57, 121, 42, 106)(22, 86, 43, 107, 25, 89, 47, 111, 28, 92, 51, 115, 62, 126, 44, 108)(129, 130)(131, 137)(132, 140)(133, 143)(134, 146)(135, 149)(136, 152)(138, 153)(139, 156)(141, 155)(142, 154)(144, 147)(145, 151)(148, 167)(150, 166)(157, 178)(158, 181)(159, 170)(160, 172)(161, 171)(162, 177)(163, 174)(164, 179)(165, 184)(168, 186)(169, 189)(173, 185)(175, 187)(176, 192)(180, 190)(182, 188)(183, 191)(193, 195)(194, 198)(196, 205)(197, 208)(199, 214)(200, 217)(201, 218)(202, 213)(203, 216)(204, 211)(206, 221)(207, 212)(209, 210)(215, 232)(219, 241)(220, 240)(222, 243)(223, 236)(224, 245)(225, 234)(226, 246)(227, 239)(228, 238)(229, 231)(230, 249)(233, 251)(235, 253)(237, 254)(242, 255)(244, 256)(247, 250)(248, 252)
	L = (1, 129)(2, 130)(3, 131)(4, 132)(5, 133)(6, 134)(7, 135)(8, 136)(9, 137)(10, 138)(11, 139)(12, 140)(13, 141)(14, 142)(15, 143)(16, 144)(17, 145)(18, 146)(19, 147)(20, 148)(21, 149)(22, 150)(23, 151)(24, 152)(25, 153)(26, 154)(27, 155)(28, 156)(29, 157)(30, 158)(31, 159)(32, 160)(33, 161)(34, 162)(35, 163)(36, 164)(37, 165)(38, 166)(39, 167)(40, 168)(41, 169)(42, 170)(43, 171)(44, 172)(45, 173)(46, 174)(47, 175)(48, 176)(49, 177)(50, 178)(51, 179)(52, 180)(53, 181)(54, 182)(55, 183)(56, 184)(57, 185)(58, 186)(59, 187)(60, 188)(61, 189)(62, 190)(63, 191)(64, 192)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 8, 8 ), ( 8^16 ) }
Outer automorphisms :: reflexible
Dual of E13.1037
Graph:: simple bipartite
	v = 72 e = 128 f = 32
	degree seq :: [ 2^64, 16^8 ]

E13.1037 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 2, 8})
Quotient :: loop^2
Aut^+ = (C2 x D16) : C2 (small group id <64, 153>)
Aut   = $<128, 924>$ (small group id <128, 924>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, Y3^2, R^2, (R * Y3)^2, R * Y1 * R * Y2, Y3 * Y1 * Y2 * Y3 * Y2 * Y1, Y3 * Y1 * Y3 * Y2 * Y3 * Y1 * Y2 * Y1 * Y2 * Y1 * Y3 * Y2, (Y1 * Y2)^8 ]
Map::
	R = (1, 65, 129, 193, 4, 68, 132, 196)(2, 66, 130, 194, 6, 70, 134, 198)(3, 67, 131, 195, 8, 72, 136, 200)(5, 69, 133, 197, 12, 76, 140, 204)(7, 71, 135, 199, 16, 80, 144, 208)(9, 73, 137, 201, 18, 82, 146, 210)(10, 74, 138, 202, 19, 83, 147, 211)(11, 75, 139, 203, 21, 85, 149, 213)(13, 77, 141, 205, 23, 87, 151, 215)(14, 78, 142, 206, 24, 88, 152, 216)(15, 79, 143, 207, 26, 90, 154, 218)(17, 81, 145, 209, 28, 92, 156, 220)(20, 84, 148, 212, 33, 97, 161, 225)(22, 86, 150, 214, 35, 99, 163, 227)(25, 89, 153, 217, 40, 104, 168, 232)(27, 91, 155, 219, 42, 106, 170, 234)(29, 93, 157, 221, 44, 108, 172, 236)(30, 94, 158, 222, 45, 109, 173, 237)(31, 95, 159, 223, 46, 110, 174, 238)(32, 96, 160, 224, 48, 112, 176, 240)(34, 98, 162, 226, 50, 114, 178, 242)(36, 100, 164, 228, 52, 116, 180, 244)(37, 101, 165, 229, 53, 117, 181, 245)(38, 102, 166, 230, 54, 118, 182, 246)(39, 103, 167, 231, 56, 120, 184, 248)(41, 105, 169, 233, 51, 115, 179, 243)(43, 107, 171, 235, 49, 113, 177, 241)(47, 111, 175, 239, 60, 124, 188, 252)(55, 119, 183, 247, 62, 126, 190, 254)(57, 121, 185, 249, 63, 127, 191, 255)(58, 122, 186, 250, 59, 123, 187, 251)(61, 125, 189, 253, 64, 128, 192, 256)
	L = (1, 66)(2, 65)(3, 71)(4, 73)(5, 75)(6, 77)(7, 67)(8, 81)(9, 68)(10, 80)(11, 69)(12, 86)(13, 70)(14, 85)(15, 89)(16, 74)(17, 72)(18, 93)(19, 95)(20, 96)(21, 78)(22, 76)(23, 100)(24, 102)(25, 79)(26, 105)(27, 104)(28, 101)(29, 82)(30, 99)(31, 83)(32, 84)(33, 113)(34, 112)(35, 94)(36, 87)(37, 92)(38, 88)(39, 119)(40, 91)(41, 90)(42, 114)(43, 115)(44, 121)(45, 120)(46, 122)(47, 123)(48, 98)(49, 97)(50, 106)(51, 107)(52, 125)(53, 124)(54, 126)(55, 103)(56, 109)(57, 108)(58, 110)(59, 111)(60, 117)(61, 116)(62, 118)(63, 128)(64, 127)(129, 195)(130, 197)(131, 193)(132, 202)(133, 194)(134, 206)(135, 207)(136, 205)(137, 204)(138, 196)(139, 212)(140, 201)(141, 200)(142, 198)(143, 199)(144, 219)(145, 218)(146, 222)(147, 221)(148, 203)(149, 226)(150, 225)(151, 229)(152, 228)(153, 231)(154, 209)(155, 208)(156, 235)(157, 211)(158, 210)(159, 234)(160, 239)(161, 214)(162, 213)(163, 243)(164, 216)(165, 215)(166, 242)(167, 217)(168, 246)(169, 248)(170, 223)(171, 220)(172, 250)(173, 249)(174, 240)(175, 224)(176, 238)(177, 252)(178, 230)(179, 227)(180, 254)(181, 253)(182, 232)(183, 255)(184, 233)(185, 237)(186, 236)(187, 256)(188, 241)(189, 245)(190, 244)(191, 247)(192, 251)
	local type(s) :: { ( 2, 16, 2, 16, 2, 16, 2, 16 ) }
Outer automorphisms :: reflexible
Dual of E13.1036
Transitivity :: VT+
Graph:: bipartite
	v = 32 e = 128 f = 72
	degree seq :: [ 8^32 ]

E13.1038 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 2, 8})
Quotient :: loop^2
Aut^+ = (C2 x D16) : C2 (small group id <64, 153>)
Aut   = $<128, 924>$ (small group id <128, 924>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, R * Y2 * R * Y1, (R * Y3)^2, Y3 * Y1 * Y2 * Y3^-1 * Y2 * Y1, Y2 * Y3^2 * Y1 * Y2 * Y1, (Y3^-1 * Y1 * Y3^-1)^2, (Y1 * Y3^-1 * Y2)^2, (Y3^2 * Y2)^2, Y3 * Y2 * Y3^-1 * Y2 * Y3 * Y1 * Y3^-1 * Y1, Y3^8, (Y3^3 * Y2 * Y1)^2 ]
Map::
	R = (1, 65, 129, 193, 4, 68, 132, 196, 14, 78, 142, 206, 34, 98, 162, 226, 55, 119, 183, 247, 37, 101, 165, 229, 17, 81, 145, 209, 5, 69, 133, 197)(2, 66, 130, 194, 7, 71, 135, 199, 23, 87, 151, 215, 45, 109, 173, 237, 63, 127, 191, 255, 48, 112, 176, 240, 26, 90, 154, 218, 8, 72, 136, 200)(3, 67, 131, 195, 10, 74, 138, 202, 18, 82, 146, 210, 38, 102, 166, 230, 58, 122, 186, 250, 52, 116, 180, 244, 29, 93, 157, 221, 11, 75, 139, 203)(6, 70, 134, 198, 19, 83, 147, 211, 9, 73, 137, 201, 27, 91, 155, 219, 50, 114, 178, 242, 60, 124, 188, 252, 40, 104, 168, 232, 20, 84, 148, 212)(12, 76, 140, 204, 30, 94, 158, 222, 15, 79, 143, 207, 35, 99, 163, 227, 56, 120, 184, 248, 61, 125, 189, 253, 49, 113, 177, 241, 31, 95, 159, 223)(13, 77, 141, 205, 32, 96, 160, 224, 16, 80, 144, 208, 36, 100, 164, 228, 39, 103, 167, 231, 59, 123, 187, 251, 54, 118, 182, 246, 33, 97, 161, 225)(21, 85, 149, 213, 41, 105, 169, 233, 24, 88, 152, 216, 46, 110, 174, 238, 64, 128, 192, 256, 53, 117, 181, 245, 57, 121, 185, 249, 42, 106, 170, 234)(22, 86, 150, 214, 43, 107, 171, 235, 25, 89, 153, 217, 47, 111, 175, 239, 28, 92, 156, 220, 51, 115, 179, 243, 62, 126, 190, 254, 44, 108, 172, 236)
	L = (1, 66)(2, 65)(3, 73)(4, 76)(5, 79)(6, 82)(7, 85)(8, 88)(9, 67)(10, 89)(11, 92)(12, 68)(13, 91)(14, 90)(15, 69)(16, 83)(17, 87)(18, 70)(19, 80)(20, 103)(21, 71)(22, 102)(23, 81)(24, 72)(25, 74)(26, 78)(27, 77)(28, 75)(29, 114)(30, 117)(31, 106)(32, 108)(33, 107)(34, 113)(35, 110)(36, 115)(37, 120)(38, 86)(39, 84)(40, 122)(41, 125)(42, 95)(43, 97)(44, 96)(45, 121)(46, 99)(47, 123)(48, 128)(49, 98)(50, 93)(51, 100)(52, 126)(53, 94)(54, 124)(55, 127)(56, 101)(57, 109)(58, 104)(59, 111)(60, 118)(61, 105)(62, 116)(63, 119)(64, 112)(129, 195)(130, 198)(131, 193)(132, 205)(133, 208)(134, 194)(135, 214)(136, 217)(137, 218)(138, 213)(139, 216)(140, 211)(141, 196)(142, 221)(143, 212)(144, 197)(145, 210)(146, 209)(147, 204)(148, 207)(149, 202)(150, 199)(151, 232)(152, 203)(153, 200)(154, 201)(155, 241)(156, 240)(157, 206)(158, 243)(159, 236)(160, 245)(161, 234)(162, 246)(163, 239)(164, 238)(165, 231)(166, 249)(167, 229)(168, 215)(169, 251)(170, 225)(171, 253)(172, 223)(173, 254)(174, 228)(175, 227)(176, 220)(177, 219)(178, 255)(179, 222)(180, 256)(181, 224)(182, 226)(183, 250)(184, 252)(185, 230)(186, 247)(187, 233)(188, 248)(189, 235)(190, 237)(191, 242)(192, 244)
	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 E13.1035
Transitivity :: VT+
Graph:: bipartite
	v = 8 e = 128 f = 96
	degree seq :: [ 32^8 ]

E13.1039 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {4, 4, 8})
Quotient :: edge
Aut^+ = ((C8 x C2) : C2) : C2 (small group id <64, 8>)
Aut   = $<128, 327>$ (small group id <128, 327>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, T1^4, T2^4, (T2 * T1^-2)^2, T2^-2 * T1 * T2^-2 * T1^-1, (T2 * T1^-1)^8 ]
Map:: polytopal 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, 66, 70, 68)(67, 73, 81, 75)(69, 78, 80, 79)(71, 82, 77, 84)(72, 85, 76, 86)(74, 83, 92, 89)(87, 97, 91, 98)(88, 99, 90, 100)(93, 101, 96, 102)(94, 103, 95, 104)(105, 113, 108, 114)(106, 115, 107, 116)(109, 117, 112, 118)(110, 119, 111, 120)(121, 125, 124, 128)(122, 126, 123, 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 ) }
Outer automorphisms :: reflexible
Dual of E13.1054
Transitivity :: ET+
Graph:: simple bipartite
	v = 32 e = 64 f = 8
	degree seq :: [ 4^32 ]

E13.1040 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {4, 4, 8})
Quotient :: edge
Aut^+ = (C2 x Q8) : C4 (small group id <64, 9>)
Aut   = $<128, 332>$ (small group id <128, 332>)
|r| :: 2
Presentation :: [ F^2, T2^4, (F * T1)^2, (F * T2)^2, T1^4, T2^-2 * T1 * T2^-2 * T1^-1, T2 * T1 * T2 * T1 * T2 * T1^-1 * T2^-1 * T1^-1, (T2 * T1^-1)^8 ]
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, 48, 31, 47)(30, 50, 32, 49)(34, 54, 37, 55)(36, 56, 38, 57)(39, 59, 44, 60)(51, 61, 52, 62)(53, 63, 58, 64)(65, 66, 70, 68)(67, 73, 87, 75)(69, 78, 97, 79)(71, 82, 103, 84)(72, 85, 108, 86)(74, 83, 99, 90)(76, 93, 115, 94)(77, 95, 116, 96)(80, 98, 117, 100)(81, 101, 122, 102)(88, 105, 118, 111)(89, 104, 119, 112)(91, 107, 120, 113)(92, 106, 121, 114)(109, 123, 127, 125)(110, 124, 128, 126)
	L = (1, 65)(2, 66)(3, 67)(4, 68)(5, 69)(6, 70)(7, 71)(8, 72)(9, 73)(10, 74)(11, 75)(12, 76)(13, 77)(14, 78)(15, 79)(16, 80)(17, 81)(18, 82)(19, 83)(20, 84)(21, 85)(22, 86)(23, 87)(24, 88)(25, 89)(26, 90)(27, 91)(28, 92)(29, 93)(30, 94)(31, 95)(32, 96)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 16^4 ) }
Outer automorphisms :: reflexible
Dual of E13.1056
Transitivity :: ET+
Graph:: simple bipartite
	v = 32 e = 64 f = 8
	degree seq :: [ 4^32 ]

E13.1041 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {4, 4, 8})
Quotient :: edge
Aut^+ = (C2 x Q8) : C4 (small group id <64, 9>)
Aut   = $<128, 332>$ (small group id <128, 332>)
|r| :: 2
Presentation :: [ F^2, T2^4, T2^4, (F * T1)^2, (F * T2)^2, T1^4, T2 * T1^-1 * T2^2 * T1 * T2, T2 * T1 * T2 * T1^-1 * T2^-1 * T1 * T2 * T1^-1, T1^-1 * T2 * T1^-1 * T2^-1 * T1^-1 * T2 * T1^-1 * T2 ]
Map:: non-degenerate
	R = (1, 3, 10, 5)(2, 7, 19, 8)(4, 12, 26, 13)(6, 16, 35, 17)(9, 24, 14, 25)(11, 27, 15, 28)(18, 40, 21, 41)(20, 42, 22, 43)(23, 45, 33, 46)(29, 50, 31, 49)(30, 48, 32, 47)(34, 54, 37, 55)(36, 56, 38, 57)(39, 59, 44, 60)(51, 61, 52, 62)(53, 63, 58, 64)(65, 66, 70, 68)(67, 73, 87, 75)(69, 78, 97, 79)(71, 82, 103, 84)(72, 85, 108, 86)(74, 83, 99, 90)(76, 93, 115, 94)(77, 95, 116, 96)(80, 98, 117, 100)(81, 101, 122, 102)(88, 111, 118, 107)(89, 112, 119, 106)(91, 113, 120, 105)(92, 114, 121, 104)(109, 123, 127, 125)(110, 124, 128, 126)
	L = (1, 65)(2, 66)(3, 67)(4, 68)(5, 69)(6, 70)(7, 71)(8, 72)(9, 73)(10, 74)(11, 75)(12, 76)(13, 77)(14, 78)(15, 79)(16, 80)(17, 81)(18, 82)(19, 83)(20, 84)(21, 85)(22, 86)(23, 87)(24, 88)(25, 89)(26, 90)(27, 91)(28, 92)(29, 93)(30, 94)(31, 95)(32, 96)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 16^4 ) }
Outer automorphisms :: reflexible
Dual of E13.1055
Transitivity :: ET+
Graph:: simple bipartite
	v = 32 e = 64 f = 8
	degree seq :: [ 4^32 ]

E13.1042 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {4, 4, 8})
Quotient :: edge
Aut^+ = ((C8 x C2) : C2) : C2 (small group id <64, 8>)
Aut   = $<128, 327>$ (small group id <128, 327>)
|r| :: 2
Presentation :: [ F^2, (T1 * T2^-1)^2, (T1 * T2^-1)^2, (T2 * T1^-1)^2, (F * T2)^2, T1^4, (F * T1)^2, T2^-1 * T1 * T2 * T1 * T2 * T1^-1 * T2^-1 * T1^-1, T1^-1 * T2^-1 * T1^-1 * T2^-2 * T1^-1 * T2^-1 * T1^-1, T2^8 ]
Map:: polytopal non-degenerate
	R = (1, 3, 10, 24, 48, 32, 14, 5)(2, 7, 18, 40, 56, 44, 20, 8)(4, 11, 26, 49, 61, 47, 28, 12)(6, 15, 34, 52, 62, 53, 36, 16)(9, 21, 35, 31, 51, 59, 45, 22)(13, 29, 50, 60, 46, 23, 33, 30)(17, 37, 27, 43, 58, 63, 54, 38)(19, 41, 57, 64, 55, 39, 25, 42)(65, 66, 70, 68)(67, 73, 83, 72)(69, 75, 89, 77)(71, 81, 99, 80)(74, 87, 98, 86)(76, 79, 97, 91)(78, 93, 100, 95)(82, 103, 90, 102)(84, 105, 92, 107)(85, 101, 94, 106)(88, 111, 121, 110)(96, 115, 119, 104)(108, 122, 109, 116)(112, 120, 126, 125)(113, 117, 114, 118)(123, 127, 124, 128)
	L = (1, 65)(2, 66)(3, 67)(4, 68)(5, 69)(6, 70)(7, 71)(8, 72)(9, 73)(10, 74)(11, 75)(12, 76)(13, 77)(14, 78)(15, 79)(16, 80)(17, 81)(18, 82)(19, 83)(20, 84)(21, 85)(22, 86)(23, 87)(24, 88)(25, 89)(26, 90)(27, 91)(28, 92)(29, 93)(30, 94)(31, 95)(32, 96)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 8^4 ), ( 8^8 ) }
Outer automorphisms :: reflexible
Dual of E13.1048
Transitivity :: ET+
Graph:: simple bipartite
	v = 24 e = 64 f = 16
	degree seq :: [ 4^16, 8^8 ]

E13.1043 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {4, 4, 8})
Quotient :: edge
Aut^+ = ((C8 x C2) : C2) : C2 (small group id <64, 8>)
Aut   = $<128, 327>$ (small group id <128, 327>)
|r| :: 2
Presentation :: [ F^2, T1^4, (F * T2)^2, (F * T1)^2, T1^-1 * T2^-1 * T1^2 * T2 * T1^-1, (T2^2 * T1^-1)^2, (T1^-1 * T2^-2)^2, (T2 * T1 * T2 * T1^-1)^2, T2^8 ]
Map:: polytopal non-degenerate
	R = (1, 3, 10, 28, 48, 34, 16, 5)(2, 7, 20, 39, 56, 44, 24, 8)(4, 12, 31, 49, 60, 46, 27, 13)(6, 17, 35, 52, 62, 53, 36, 18)(9, 25, 15, 33, 51, 59, 45, 26)(11, 29, 14, 32, 50, 61, 47, 30)(19, 37, 23, 43, 58, 63, 54, 38)(21, 40, 22, 42, 57, 64, 55, 41)(65, 66, 70, 68)(67, 73, 81, 75)(69, 78, 82, 79)(71, 83, 76, 85)(72, 86, 77, 87)(74, 91, 99, 88)(80, 95, 100, 84)(89, 104, 93, 101)(90, 107, 94, 106)(92, 111, 116, 109)(96, 105, 97, 102)(98, 115, 117, 114)(103, 119, 113, 118)(108, 122, 110, 121)(112, 120, 126, 124)(123, 128, 125, 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) :: { ( 8^4 ), ( 8^8 ) }
Outer automorphisms :: reflexible
Dual of E13.1049
Transitivity :: ET+
Graph:: simple bipartite
	v = 24 e = 64 f = 16
	degree seq :: [ 4^16, 8^8 ]

E13.1044 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {4, 4, 8})
Quotient :: edge
Aut^+ = (C2 x Q8) : C4 (small group id <64, 9>)
Aut   = $<128, 332>$ (small group id <128, 332>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, T1^4, T1 * T2 * T1 * T2^-3, T2 * T1^-1 * T2^2 * T1^-1 * T2 * T1^-2, T2 * T1 * T2^5 * T1, T2^-1 * T1^2 * T2^-1 * T1^-1 * T2^-2 * T1^-1, (T2 * T1^-1)^4 ]
Map:: non-degenerate
	R = (1, 3, 10, 19, 48, 35, 16, 5)(2, 7, 20, 41, 39, 15, 24, 8)(4, 12, 27, 9, 26, 45, 36, 13)(6, 17, 42, 32, 55, 23, 46, 18)(11, 30, 44, 28, 58, 63, 59, 31)(14, 29, 53, 62, 47, 40, 43, 38)(21, 51, 34, 49, 37, 57, 25, 52)(22, 50, 61, 64, 60, 56, 33, 54)(65, 66, 70, 68)(67, 73, 89, 75)(69, 78, 101, 79)(71, 83, 111, 85)(72, 86, 117, 87)(74, 92, 106, 93)(76, 96, 123, 97)(77, 98, 122, 99)(80, 95, 110, 104)(81, 105, 124, 107)(82, 108, 125, 109)(84, 113, 91, 114)(88, 116, 100, 120)(90, 112, 103, 119)(94, 115, 102, 118)(121, 126, 128, 127)
	L = (1, 65)(2, 66)(3, 67)(4, 68)(5, 69)(6, 70)(7, 71)(8, 72)(9, 73)(10, 74)(11, 75)(12, 76)(13, 77)(14, 78)(15, 79)(16, 80)(17, 81)(18, 82)(19, 83)(20, 84)(21, 85)(22, 86)(23, 87)(24, 88)(25, 89)(26, 90)(27, 91)(28, 92)(29, 93)(30, 94)(31, 95)(32, 96)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 8^4 ), ( 8^8 ) }
Outer automorphisms :: reflexible
Dual of E13.1051
Transitivity :: ET+
Graph:: simple bipartite
	v = 24 e = 64 f = 16
	degree seq :: [ 4^16, 8^8 ]

E13.1045 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {4, 4, 8})
Quotient :: edge
Aut^+ = (C2 x Q8) : C4 (small group id <64, 9>)
Aut   = $<128, 332>$ (small group id <128, 332>)
|r| :: 2
Presentation :: [ F^2, T1^4, (F * T2)^2, (F * T1)^2, T2^3 * T1 * T2^-1 * T1, T2 * T1 * T2^-2 * T1^-2 * T2^-1 * T1^-1, T1^-1 * T2 * T1^-1 * T2^5, (T2 * T1 * T2 * T1^-1)^2, (T2^-1 * T1^-1)^4 ]
Map:: polytopal non-degenerate
	R = (1, 3, 10, 29, 54, 22, 16, 5)(2, 7, 20, 11, 31, 44, 24, 8)(4, 12, 33, 43, 38, 14, 36, 13)(6, 17, 42, 21, 52, 34, 46, 18)(9, 26, 45, 30, 53, 62, 47, 27)(15, 28, 58, 63, 59, 40, 41, 39)(19, 48, 35, 51, 61, 64, 60, 49)(23, 50, 37, 57, 25, 56, 32, 55)(65, 66, 70, 68)(67, 73, 89, 75)(69, 78, 101, 79)(71, 83, 111, 85)(72, 86, 117, 87)(74, 92, 106, 94)(76, 96, 123, 93)(77, 98, 122, 99)(80, 104, 110, 91)(81, 105, 124, 107)(82, 108, 125, 109)(84, 114, 97, 115)(88, 120, 100, 113)(90, 112, 103, 119)(95, 116, 102, 118)(121, 126, 128, 127)
	L = (1, 65)(2, 66)(3, 67)(4, 68)(5, 69)(6, 70)(7, 71)(8, 72)(9, 73)(10, 74)(11, 75)(12, 76)(13, 77)(14, 78)(15, 79)(16, 80)(17, 81)(18, 82)(19, 83)(20, 84)(21, 85)(22, 86)(23, 87)(24, 88)(25, 89)(26, 90)(27, 91)(28, 92)(29, 93)(30, 94)(31, 95)(32, 96)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 8^4 ), ( 8^8 ) }
Outer automorphisms :: reflexible
Dual of E13.1050
Transitivity :: ET+
Graph:: simple bipartite
	v = 24 e = 64 f = 16
	degree seq :: [ 4^16, 8^8 ]

E13.1046 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {4, 4, 8})
Quotient :: edge
Aut^+ = (C2 x Q8) : C4 (small group id <64, 9>)
Aut   = $<128, 332>$ (small group id <128, 332>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, T1^4, T2^-1 * T1^-2 * T2 * T1^-2, T2^2 * T1^-1 * T2^-2 * T1^-1, (T2^-1 * T1)^4, (T2 * T1 * T2 * T1^-1)^2, T2^8 ]
Map:: polytopal non-degenerate
	R = (1, 3, 10, 28, 50, 34, 16, 5)(2, 7, 20, 39, 60, 44, 24, 8)(4, 12, 27, 48, 63, 51, 31, 13)(6, 17, 35, 54, 64, 55, 36, 18)(9, 25, 45, 58, 53, 33, 15, 26)(11, 29, 49, 57, 52, 32, 14, 30)(19, 37, 56, 46, 62, 43, 23, 38)(21, 40, 59, 47, 61, 42, 22, 41)(65, 66, 70, 68)(67, 73, 81, 75)(69, 78, 82, 79)(71, 83, 76, 85)(72, 86, 77, 87)(74, 91, 99, 84)(80, 95, 100, 88)(89, 106, 93, 107)(90, 110, 94, 111)(92, 113, 118, 109)(96, 101, 97, 104)(98, 117, 119, 116)(102, 121, 105, 122)(103, 123, 112, 120)(108, 126, 115, 125)(114, 124, 128, 127)
	L = (1, 65)(2, 66)(3, 67)(4, 68)(5, 69)(6, 70)(7, 71)(8, 72)(9, 73)(10, 74)(11, 75)(12, 76)(13, 77)(14, 78)(15, 79)(16, 80)(17, 81)(18, 82)(19, 83)(20, 84)(21, 85)(22, 86)(23, 87)(24, 88)(25, 89)(26, 90)(27, 91)(28, 92)(29, 93)(30, 94)(31, 95)(32, 96)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 8^4 ), ( 8^8 ) }
Outer automorphisms :: reflexible
Dual of E13.1052
Transitivity :: ET+
Graph:: simple bipartite
	v = 24 e = 64 f = 16
	degree seq :: [ 4^16, 8^8 ]

E13.1047 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {4, 4, 8})
Quotient :: edge
Aut^+ = (C2 x Q8) : C4 (small group id <64, 9>)
Aut   = $<128, 332>$ (small group id <128, 332>)
|r| :: 2
Presentation :: [ F^2, T1^4, T1^4, T1^4, (F * T2)^2, (F * T1)^2, T1^-1 * T2 * T1^2 * T2^-1 * T1^-1, T2^3 * T1^2 * T2, T2 * T1 * T2^-1 * T1^-1 * T2 * T1^-1 * T2^-1 * T1^-1, (T2^-1 * T1^-1 * T2^-1 * T1)^2, (T2^-1 * T1^-1)^4 ]
Map:: polytopal 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, 46, 26)(14, 31, 51, 34, 15, 33, 52, 32)(19, 35, 53, 40, 21, 39, 54, 36)(22, 41, 59, 44, 23, 43, 60, 42)(27, 47, 61, 50, 28, 49, 62, 48)(37, 55, 63, 58, 38, 57, 64, 56)(65, 66, 70, 68)(67, 73, 81, 75)(69, 78, 82, 79)(71, 83, 76, 85)(72, 86, 77, 87)(74, 91, 80, 92)(84, 101, 88, 102)(89, 106, 93, 108)(90, 104, 94, 100)(95, 107, 97, 105)(96, 99, 98, 103)(109, 119, 110, 121)(111, 117, 113, 118)(112, 123, 114, 124)(115, 120, 116, 122)(125, 127, 126, 128)
	L = (1, 65)(2, 66)(3, 67)(4, 68)(5, 69)(6, 70)(7, 71)(8, 72)(9, 73)(10, 74)(11, 75)(12, 76)(13, 77)(14, 78)(15, 79)(16, 80)(17, 81)(18, 82)(19, 83)(20, 84)(21, 85)(22, 86)(23, 87)(24, 88)(25, 89)(26, 90)(27, 91)(28, 92)(29, 93)(30, 94)(31, 95)(32, 96)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 8^4 ), ( 8^8 ) }
Outer automorphisms :: reflexible
Dual of E13.1053
Transitivity :: ET+
Graph:: bipartite
	v = 24 e = 64 f = 16
	degree seq :: [ 4^16, 8^8 ]

E13.1048 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {4, 4, 8})
Quotient :: loop
Aut^+ = ((C8 x C2) : C2) : C2 (small group id <64, 8>)
Aut   = $<128, 327>$ (small group id <128, 327>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, T1^4, T2^4, (T2 * T1^-2)^2, T2^-2 * T1 * T2^-2 * T1^-1, (T2 * T1^-1)^8 ]
Map:: polytopal non-degenerate
	R = (1, 65, 3, 67, 10, 74, 5, 69)(2, 66, 7, 71, 19, 83, 8, 72)(4, 68, 12, 76, 25, 89, 13, 77)(6, 70, 16, 80, 28, 92, 17, 81)(9, 73, 23, 87, 14, 78, 24, 88)(11, 75, 26, 90, 15, 79, 27, 91)(18, 82, 29, 93, 21, 85, 30, 94)(20, 84, 31, 95, 22, 86, 32, 96)(33, 97, 41, 105, 35, 99, 42, 106)(34, 98, 43, 107, 36, 100, 44, 108)(37, 101, 45, 109, 39, 103, 46, 110)(38, 102, 47, 111, 40, 104, 48, 112)(49, 113, 57, 121, 51, 115, 58, 122)(50, 114, 59, 123, 52, 116, 60, 124)(53, 117, 61, 125, 55, 119, 62, 126)(54, 118, 63, 127, 56, 120, 64, 128)
	L = (1, 66)(2, 70)(3, 73)(4, 65)(5, 78)(6, 68)(7, 82)(8, 85)(9, 81)(10, 83)(11, 67)(12, 86)(13, 84)(14, 80)(15, 69)(16, 79)(17, 75)(18, 77)(19, 92)(20, 71)(21, 76)(22, 72)(23, 97)(24, 99)(25, 74)(26, 100)(27, 98)(28, 89)(29, 101)(30, 103)(31, 104)(32, 102)(33, 91)(34, 87)(35, 90)(36, 88)(37, 96)(38, 93)(39, 95)(40, 94)(41, 113)(42, 115)(43, 116)(44, 114)(45, 117)(46, 119)(47, 120)(48, 118)(49, 108)(50, 105)(51, 107)(52, 106)(53, 112)(54, 109)(55, 111)(56, 110)(57, 125)(58, 126)(59, 127)(60, 128)(61, 124)(62, 123)(63, 122)(64, 121)
	local type(s) :: { ( 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E13.1042
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 16 e = 64 f = 24
	degree seq :: [ 8^16 ]

E13.1049 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {4, 4, 8})
Quotient :: loop
Aut^+ = ((C8 x C2) : C2) : C2 (small group id <64, 8>)
Aut   = $<128, 327>$ (small group id <128, 327>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, T1^4, T2^4, T2 * T1^-2 * T2^-1 * T1^-2, (T2^-2 * T1^-1)^2, (T2 * T1 * T2 * T1^-1)^4 ]
Map:: polytopal non-degenerate
	R = (1, 65, 3, 67, 10, 74, 5, 69)(2, 66, 7, 71, 19, 83, 8, 72)(4, 68, 12, 76, 25, 89, 13, 77)(6, 70, 16, 80, 28, 92, 17, 81)(9, 73, 23, 87, 15, 79, 24, 88)(11, 75, 26, 90, 14, 78, 27, 91)(18, 82, 29, 93, 22, 86, 30, 94)(20, 84, 31, 95, 21, 85, 32, 96)(33, 97, 41, 105, 36, 100, 42, 106)(34, 98, 43, 107, 35, 99, 44, 108)(37, 101, 45, 109, 40, 104, 46, 110)(38, 102, 47, 111, 39, 103, 48, 112)(49, 113, 57, 121, 52, 116, 58, 122)(50, 114, 59, 123, 51, 115, 60, 124)(53, 117, 61, 125, 56, 120, 62, 126)(54, 118, 63, 127, 55, 119, 64, 128)
	L = (1, 66)(2, 70)(3, 73)(4, 65)(5, 78)(6, 68)(7, 82)(8, 85)(9, 80)(10, 89)(11, 67)(12, 84)(13, 86)(14, 81)(15, 69)(16, 75)(17, 79)(18, 76)(19, 74)(20, 71)(21, 77)(22, 72)(23, 97)(24, 99)(25, 92)(26, 98)(27, 100)(28, 83)(29, 101)(30, 103)(31, 102)(32, 104)(33, 90)(34, 87)(35, 91)(36, 88)(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, 125)(58, 128)(59, 127)(60, 126)(61, 123)(62, 122)(63, 121)(64, 124)
	local type(s) :: { ( 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E13.1043
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 16 e = 64 f = 24
	degree seq :: [ 8^16 ]

E13.1050 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {4, 4, 8})
Quotient :: loop
Aut^+ = (C2 x Q8) : C4 (small group id <64, 9>)
Aut   = $<128, 332>$ (small group id <128, 332>)
|r| :: 2
Presentation :: [ F^2, T2^4, (F * T1)^2, (F * T2)^2, T1^4, T2^-2 * T1 * T2^-2 * T1^-1, T2 * T1 * T2 * T1 * T2 * T1^-1 * T2^-1 * T1^-1, (T2 * T1^-1)^8 ]
Map:: polytopal non-degenerate
	R = (1, 65, 3, 67, 10, 74, 5, 69)(2, 66, 7, 71, 19, 83, 8, 72)(4, 68, 12, 76, 26, 90, 13, 77)(6, 70, 16, 80, 35, 99, 17, 81)(9, 73, 24, 88, 14, 78, 25, 89)(11, 75, 27, 91, 15, 79, 28, 92)(18, 82, 40, 104, 21, 85, 41, 105)(20, 84, 42, 106, 22, 86, 43, 107)(23, 87, 45, 109, 33, 97, 46, 110)(29, 93, 48, 112, 31, 95, 47, 111)(30, 94, 50, 114, 32, 96, 49, 113)(34, 98, 54, 118, 37, 101, 55, 119)(36, 100, 56, 120, 38, 102, 57, 121)(39, 103, 59, 123, 44, 108, 60, 124)(51, 115, 61, 125, 52, 116, 62, 126)(53, 117, 63, 127, 58, 122, 64, 128)
	L = (1, 66)(2, 70)(3, 73)(4, 65)(5, 78)(6, 68)(7, 82)(8, 85)(9, 87)(10, 83)(11, 67)(12, 93)(13, 95)(14, 97)(15, 69)(16, 98)(17, 101)(18, 103)(19, 99)(20, 71)(21, 108)(22, 72)(23, 75)(24, 105)(25, 104)(26, 74)(27, 107)(28, 106)(29, 115)(30, 76)(31, 116)(32, 77)(33, 79)(34, 117)(35, 90)(36, 80)(37, 122)(38, 81)(39, 84)(40, 119)(41, 118)(42, 121)(43, 120)(44, 86)(45, 123)(46, 124)(47, 88)(48, 89)(49, 91)(50, 92)(51, 94)(52, 96)(53, 100)(54, 111)(55, 112)(56, 113)(57, 114)(58, 102)(59, 127)(60, 128)(61, 109)(62, 110)(63, 125)(64, 126)
	local type(s) :: { ( 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E13.1045
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 16 e = 64 f = 24
	degree seq :: [ 8^16 ]

E13.1051 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {4, 4, 8})
Quotient :: loop
Aut^+ = (C2 x Q8) : C4 (small group id <64, 9>)
Aut   = $<128, 332>$ (small group id <128, 332>)
|r| :: 2
Presentation :: [ F^2, T2^4, T2^4, (F * T1)^2, (F * T2)^2, T1^4, T2 * T1^-1 * T2^2 * T1 * T2, T2 * T1 * T2 * T1^-1 * T2^-1 * T1 * T2 * T1^-1, T1^-1 * T2 * T1^-1 * T2^-1 * T1^-1 * T2 * T1^-1 * T2 ]
Map:: non-degenerate
	R = (1, 65, 3, 67, 10, 74, 5, 69)(2, 66, 7, 71, 19, 83, 8, 72)(4, 68, 12, 76, 26, 90, 13, 77)(6, 70, 16, 80, 35, 99, 17, 81)(9, 73, 24, 88, 14, 78, 25, 89)(11, 75, 27, 91, 15, 79, 28, 92)(18, 82, 40, 104, 21, 85, 41, 105)(20, 84, 42, 106, 22, 86, 43, 107)(23, 87, 45, 109, 33, 97, 46, 110)(29, 93, 50, 114, 31, 95, 49, 113)(30, 94, 48, 112, 32, 96, 47, 111)(34, 98, 54, 118, 37, 101, 55, 119)(36, 100, 56, 120, 38, 102, 57, 121)(39, 103, 59, 123, 44, 108, 60, 124)(51, 115, 61, 125, 52, 116, 62, 126)(53, 117, 63, 127, 58, 122, 64, 128)
	L = (1, 66)(2, 70)(3, 73)(4, 65)(5, 78)(6, 68)(7, 82)(8, 85)(9, 87)(10, 83)(11, 67)(12, 93)(13, 95)(14, 97)(15, 69)(16, 98)(17, 101)(18, 103)(19, 99)(20, 71)(21, 108)(22, 72)(23, 75)(24, 111)(25, 112)(26, 74)(27, 113)(28, 114)(29, 115)(30, 76)(31, 116)(32, 77)(33, 79)(34, 117)(35, 90)(36, 80)(37, 122)(38, 81)(39, 84)(40, 92)(41, 91)(42, 89)(43, 88)(44, 86)(45, 123)(46, 124)(47, 118)(48, 119)(49, 120)(50, 121)(51, 94)(52, 96)(53, 100)(54, 107)(55, 106)(56, 105)(57, 104)(58, 102)(59, 127)(60, 128)(61, 109)(62, 110)(63, 125)(64, 126)
	local type(s) :: { ( 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E13.1044
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 16 e = 64 f = 24
	degree seq :: [ 8^16 ]

E13.1052 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {4, 4, 8})
Quotient :: loop
Aut^+ = (C2 x Q8) : C4 (small group id <64, 9>)
Aut   = $<128, 332>$ (small group id <128, 332>)
|r| :: 2
Presentation :: [ F^2, T1^4, T2^4, (F * T1)^2, (F * T2)^2, T1^-1 * T2 * T1^2 * T2^-1 * T1^-1, T2 * T1 * T2 * T1^-1 * T2^-1 * T1 * T2^-1 * T1, T2 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1 * T2 * T1^-1, T2^-2 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-2 * T1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 65, 3, 67, 10, 74, 5, 69)(2, 66, 7, 71, 19, 83, 8, 72)(4, 68, 12, 76, 29, 93, 13, 77)(6, 70, 16, 80, 34, 98, 17, 81)(9, 73, 23, 87, 45, 109, 24, 88)(11, 75, 27, 91, 50, 114, 28, 92)(14, 78, 30, 94, 51, 115, 31, 95)(15, 79, 32, 96, 52, 116, 33, 97)(18, 82, 35, 99, 53, 117, 36, 100)(20, 84, 39, 103, 58, 122, 40, 104)(21, 85, 41, 105, 59, 123, 42, 106)(22, 86, 43, 107, 60, 124, 44, 108)(25, 89, 46, 110, 61, 125, 47, 111)(26, 90, 48, 112, 62, 126, 49, 113)(37, 101, 54, 118, 63, 127, 55, 119)(38, 102, 56, 120, 64, 128, 57, 121)
	L = (1, 66)(2, 70)(3, 73)(4, 65)(5, 78)(6, 68)(7, 82)(8, 85)(9, 80)(10, 89)(11, 67)(12, 84)(13, 86)(14, 81)(15, 69)(16, 75)(17, 79)(18, 76)(19, 101)(20, 71)(21, 77)(22, 72)(23, 103)(24, 107)(25, 98)(26, 74)(27, 99)(28, 105)(29, 102)(30, 104)(31, 108)(32, 100)(33, 106)(34, 90)(35, 87)(36, 94)(37, 93)(38, 83)(39, 91)(40, 96)(41, 88)(42, 95)(43, 92)(44, 97)(45, 118)(46, 117)(47, 123)(48, 122)(49, 124)(50, 120)(51, 119)(52, 121)(53, 112)(54, 114)(55, 116)(56, 109)(57, 115)(58, 110)(59, 113)(60, 111)(61, 127)(62, 128)(63, 126)(64, 125)
	local type(s) :: { ( 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E13.1046
Transitivity :: ET+ VT+ AT
Graph:: simple bipartite
	v = 16 e = 64 f = 24
	degree seq :: [ 8^16 ]

E13.1053 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {4, 4, 8})
Quotient :: loop
Aut^+ = (C2 x Q8) : C4 (small group id <64, 9>)
Aut   = $<128, 332>$ (small group id <128, 332>)
|r| :: 2
Presentation :: [ F^2, T1^4, (F * T2)^2, T2^4, (F * T1)^2, T1^-1 * T2^-1 * T1^2 * T2 * T1^-1, T2 * T1 * T2^-1 * T1 * T2 * T1^-1 * T2^-1 * T1, T2 * T1 * T2 * T1^-1 * T2 * T1 * T2 * T1 ]
Map:: polytopal non-degenerate
	R = (1, 65, 3, 67, 10, 74, 5, 69)(2, 66, 7, 71, 19, 83, 8, 72)(4, 68, 12, 76, 29, 93, 13, 77)(6, 70, 16, 80, 34, 98, 17, 81)(9, 73, 23, 87, 45, 109, 24, 88)(11, 75, 27, 91, 50, 114, 28, 92)(14, 78, 30, 94, 51, 115, 31, 95)(15, 79, 32, 96, 52, 116, 33, 97)(18, 82, 35, 99, 53, 117, 36, 100)(20, 84, 39, 103, 58, 122, 40, 104)(21, 85, 41, 105, 59, 123, 42, 106)(22, 86, 43, 107, 60, 124, 44, 108)(25, 89, 46, 110, 61, 125, 47, 111)(26, 90, 48, 112, 62, 126, 49, 113)(37, 101, 54, 118, 63, 127, 55, 119)(38, 102, 56, 120, 64, 128, 57, 121)
	L = (1, 66)(2, 70)(3, 73)(4, 65)(5, 78)(6, 68)(7, 82)(8, 85)(9, 80)(10, 89)(11, 67)(12, 84)(13, 86)(14, 81)(15, 69)(16, 75)(17, 79)(18, 76)(19, 101)(20, 71)(21, 77)(22, 72)(23, 108)(24, 104)(25, 98)(26, 74)(27, 106)(28, 100)(29, 102)(30, 107)(31, 103)(32, 105)(33, 99)(34, 90)(35, 95)(36, 88)(37, 93)(38, 83)(39, 97)(40, 92)(41, 94)(42, 87)(43, 96)(44, 91)(45, 118)(46, 117)(47, 123)(48, 122)(49, 124)(50, 120)(51, 119)(52, 121)(53, 112)(54, 114)(55, 116)(56, 109)(57, 115)(58, 110)(59, 113)(60, 111)(61, 127)(62, 128)(63, 126)(64, 125)
	local type(s) :: { ( 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E13.1047
Transitivity :: ET+ VT+ AT
Graph:: simple bipartite
	v = 16 e = 64 f = 24
	degree seq :: [ 8^16 ]

E13.1054 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {4, 4, 8})
Quotient :: loop
Aut^+ = ((C8 x C2) : C2) : C2 (small group id <64, 8>)
Aut   = $<128, 327>$ (small group id <128, 327>)
|r| :: 2
Presentation :: [ F^2, (T1 * T2^-1)^2, (T1 * T2^-1)^2, (T2 * T1^-1)^2, (F * T2)^2, T1^4, (F * T1)^2, T2^-1 * T1 * T2 * T1 * T2 * T1^-1 * T2^-1 * T1^-1, T1^-1 * T2^-1 * T1^-1 * T2^-2 * T1^-1 * T2^-1 * T1^-1, T2^8 ]
Map:: polytopal non-degenerate
	R = (1, 65, 3, 67, 10, 74, 24, 88, 48, 112, 32, 96, 14, 78, 5, 69)(2, 66, 7, 71, 18, 82, 40, 104, 56, 120, 44, 108, 20, 84, 8, 72)(4, 68, 11, 75, 26, 90, 49, 113, 61, 125, 47, 111, 28, 92, 12, 76)(6, 70, 15, 79, 34, 98, 52, 116, 62, 126, 53, 117, 36, 100, 16, 80)(9, 73, 21, 85, 35, 99, 31, 95, 51, 115, 59, 123, 45, 109, 22, 86)(13, 77, 29, 93, 50, 114, 60, 124, 46, 110, 23, 87, 33, 97, 30, 94)(17, 81, 37, 101, 27, 91, 43, 107, 58, 122, 63, 127, 54, 118, 38, 102)(19, 83, 41, 105, 57, 121, 64, 128, 55, 119, 39, 103, 25, 89, 42, 106)
	L = (1, 66)(2, 70)(3, 73)(4, 65)(5, 75)(6, 68)(7, 81)(8, 67)(9, 83)(10, 87)(11, 89)(12, 79)(13, 69)(14, 93)(15, 97)(16, 71)(17, 99)(18, 103)(19, 72)(20, 105)(21, 101)(22, 74)(23, 98)(24, 111)(25, 77)(26, 102)(27, 76)(28, 107)(29, 100)(30, 106)(31, 78)(32, 115)(33, 91)(34, 86)(35, 80)(36, 95)(37, 94)(38, 82)(39, 90)(40, 96)(41, 92)(42, 85)(43, 84)(44, 122)(45, 116)(46, 88)(47, 121)(48, 120)(49, 117)(50, 118)(51, 119)(52, 108)(53, 114)(54, 113)(55, 104)(56, 126)(57, 110)(58, 109)(59, 127)(60, 128)(61, 112)(62, 125)(63, 124)(64, 123)
	local type(s) :: { ( 4^16 ) }
Outer automorphisms :: reflexible
Dual of E13.1039
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 8 e = 64 f = 32
	degree seq :: [ 16^8 ]

E13.1055 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {4, 4, 8})
Quotient :: loop
Aut^+ = (C2 x Q8) : C4 (small group id <64, 9>)
Aut   = $<128, 332>$ (small group id <128, 332>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, T1^4, T1 * T2 * T1 * T2^-3, T2 * T1^-1 * T2^2 * T1^-1 * T2 * T1^-2, T2 * T1 * T2^5 * T1, T2^-1 * T1^2 * T2^-1 * T1^-1 * T2^-2 * T1^-1, (T2 * T1^-1)^4 ]
Map:: non-degenerate
	R = (1, 65, 3, 67, 10, 74, 19, 83, 48, 112, 35, 99, 16, 80, 5, 69)(2, 66, 7, 71, 20, 84, 41, 105, 39, 103, 15, 79, 24, 88, 8, 72)(4, 68, 12, 76, 27, 91, 9, 73, 26, 90, 45, 109, 36, 100, 13, 77)(6, 70, 17, 81, 42, 106, 32, 96, 55, 119, 23, 87, 46, 110, 18, 82)(11, 75, 30, 94, 44, 108, 28, 92, 58, 122, 63, 127, 59, 123, 31, 95)(14, 78, 29, 93, 53, 117, 62, 126, 47, 111, 40, 104, 43, 107, 38, 102)(21, 85, 51, 115, 34, 98, 49, 113, 37, 101, 57, 121, 25, 89, 52, 116)(22, 86, 50, 114, 61, 125, 64, 128, 60, 124, 56, 120, 33, 97, 54, 118)
	L = (1, 66)(2, 70)(3, 73)(4, 65)(5, 78)(6, 68)(7, 83)(8, 86)(9, 89)(10, 92)(11, 67)(12, 96)(13, 98)(14, 101)(15, 69)(16, 95)(17, 105)(18, 108)(19, 111)(20, 113)(21, 71)(22, 117)(23, 72)(24, 116)(25, 75)(26, 112)(27, 114)(28, 106)(29, 74)(30, 115)(31, 110)(32, 123)(33, 76)(34, 122)(35, 77)(36, 120)(37, 79)(38, 118)(39, 119)(40, 80)(41, 124)(42, 93)(43, 81)(44, 125)(45, 82)(46, 104)(47, 85)(48, 103)(49, 91)(50, 84)(51, 102)(52, 100)(53, 87)(54, 94)(55, 90)(56, 88)(57, 126)(58, 99)(59, 97)(60, 107)(61, 109)(62, 128)(63, 121)(64, 127)
	local type(s) :: { ( 4^16 ) }
Outer automorphisms :: reflexible
Dual of E13.1041
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 8 e = 64 f = 32
	degree seq :: [ 16^8 ]

E13.1056 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {4, 4, 8})
Quotient :: loop
Aut^+ = (C2 x Q8) : C4 (small group id <64, 9>)
Aut   = $<128, 332>$ (small group id <128, 332>)
|r| :: 2
Presentation :: [ F^2, T1^4, (F * T2)^2, (F * T1)^2, T2^3 * T1 * T2^-1 * T1, T2 * T1 * T2^-2 * T1^-2 * T2^-1 * T1^-1, T1^-1 * T2 * T1^-1 * T2^5, (T2 * T1 * T2 * T1^-1)^2, (T2^-1 * T1^-1)^4 ]
Map:: polytopal non-degenerate
	R = (1, 65, 3, 67, 10, 74, 29, 93, 54, 118, 22, 86, 16, 80, 5, 69)(2, 66, 7, 71, 20, 84, 11, 75, 31, 95, 44, 108, 24, 88, 8, 72)(4, 68, 12, 76, 33, 97, 43, 107, 38, 102, 14, 78, 36, 100, 13, 77)(6, 70, 17, 81, 42, 106, 21, 85, 52, 116, 34, 98, 46, 110, 18, 82)(9, 73, 26, 90, 45, 109, 30, 94, 53, 117, 62, 126, 47, 111, 27, 91)(15, 79, 28, 92, 58, 122, 63, 127, 59, 123, 40, 104, 41, 105, 39, 103)(19, 83, 48, 112, 35, 99, 51, 115, 61, 125, 64, 128, 60, 124, 49, 113)(23, 87, 50, 114, 37, 101, 57, 121, 25, 89, 56, 120, 32, 96, 55, 119)
	L = (1, 66)(2, 70)(3, 73)(4, 65)(5, 78)(6, 68)(7, 83)(8, 86)(9, 89)(10, 92)(11, 67)(12, 96)(13, 98)(14, 101)(15, 69)(16, 104)(17, 105)(18, 108)(19, 111)(20, 114)(21, 71)(22, 117)(23, 72)(24, 120)(25, 75)(26, 112)(27, 80)(28, 106)(29, 76)(30, 74)(31, 116)(32, 123)(33, 115)(34, 122)(35, 77)(36, 113)(37, 79)(38, 118)(39, 119)(40, 110)(41, 124)(42, 94)(43, 81)(44, 125)(45, 82)(46, 91)(47, 85)(48, 103)(49, 88)(50, 97)(51, 84)(52, 102)(53, 87)(54, 95)(55, 90)(56, 100)(57, 126)(58, 99)(59, 93)(60, 107)(61, 109)(62, 128)(63, 121)(64, 127)
	local type(s) :: { ( 4^16 ) }
Outer automorphisms :: reflexible
Dual of E13.1040
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 8 e = 64 f = 32
	degree seq :: [ 16^8 ]

E13.1057 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 8})
Quotient :: dipole
Aut^+ = ((C8 x C2) : C2) : C2 (small group id <64, 8>)
Aut   = $<128, 327>$ (small group id <128, 327>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1^-1, (R * Y3)^2, (R * Y1)^2, Y1^4, Y2^4, (R * Y2 * Y3^-1)^2, Y2 * Y1^-2 * Y2^-1 * Y1^-2, Y2^-2 * Y3 * Y2^-2 * Y1^-1, Y3 * Y2 * Y1 * Y3^-1 * Y2^-1 * Y1^-1, Y3 * Y2^-1 * Y1 * Y3^-1 * Y2 * Y1^-1, (Y3 * Y2 * Y1 * Y2)^4 ]
Map::
	R = (1, 65, 2, 66, 6, 70, 4, 68)(3, 67, 9, 73, 16, 80, 11, 75)(5, 69, 14, 78, 17, 81, 15, 79)(7, 71, 18, 82, 12, 76, 20, 84)(8, 72, 21, 85, 13, 77, 22, 86)(10, 74, 25, 89, 28, 92, 19, 83)(23, 87, 33, 97, 26, 90, 34, 98)(24, 88, 35, 99, 27, 91, 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, 61, 125, 59, 123, 63, 127)(58, 122, 64, 128, 60, 124, 62, 126)(129, 193, 131, 195, 138, 202, 133, 197)(130, 194, 135, 199, 147, 211, 136, 200)(132, 196, 140, 204, 153, 217, 141, 205)(134, 198, 144, 208, 156, 220, 145, 209)(137, 201, 151, 215, 143, 207, 152, 216)(139, 203, 154, 218, 142, 206, 155, 219)(146, 210, 157, 221, 150, 214, 158, 222)(148, 212, 159, 223, 149, 213, 160, 224)(161, 225, 169, 233, 164, 228, 170, 234)(162, 226, 171, 235, 163, 227, 172, 236)(165, 229, 173, 237, 168, 232, 174, 238)(166, 230, 175, 239, 167, 231, 176, 240)(177, 241, 185, 249, 180, 244, 186, 250)(178, 242, 187, 251, 179, 243, 188, 252)(181, 245, 189, 253, 184, 248, 190, 254)(182, 246, 191, 255, 183, 247, 192, 256)
	L = (1, 132)(2, 129)(3, 139)(4, 134)(5, 143)(6, 130)(7, 148)(8, 150)(9, 131)(10, 147)(11, 144)(12, 146)(13, 149)(14, 133)(15, 145)(16, 137)(17, 142)(18, 135)(19, 156)(20, 140)(21, 136)(22, 141)(23, 162)(24, 164)(25, 138)(26, 161)(27, 163)(28, 153)(29, 166)(30, 168)(31, 165)(32, 167)(33, 151)(34, 154)(35, 152)(36, 155)(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, 191)(58, 190)(59, 189)(60, 192)(61, 185)(62, 188)(63, 187)(64, 186)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 2, 16, 2, 16, 2, 16, 2, 16 ) }
Outer automorphisms :: reflexible
Dual of E13.1072
Graph:: bipartite
	v = 32 e = 128 f = 72
	degree seq :: [ 8^32 ]

E13.1058 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 8})
Quotient :: dipole
Aut^+ = (C2 x Q8) : C4 (small group id <64, 9>)
Aut   = $<128, 332>$ (small group id <128, 332>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1^-1, Y3^-1 * Y1^2 * Y3^-1, (R * Y3)^2, (R * Y1)^2, Y2^4, (R * Y2 * Y3^-1)^2, Y3^-1 * Y2^-1 * Y1 * Y3^-1 * Y2 * Y1, Y2 * Y1 * Y2 * Y1 * Y2^-1 * Y1^-1 * Y2^-1 * Y3^-1, Y2 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y3^-1 * Y2 * Y1^-1, (Y3 * Y2^-1)^8 ]
Map::
	R = (1, 65, 2, 66, 6, 70, 4, 68)(3, 67, 9, 73, 16, 80, 11, 75)(5, 69, 14, 78, 17, 81, 15, 79)(7, 71, 18, 82, 12, 76, 20, 84)(8, 72, 21, 85, 13, 77, 22, 86)(10, 74, 25, 89, 34, 98, 26, 90)(19, 83, 37, 101, 29, 93, 38, 102)(23, 87, 39, 103, 27, 91, 35, 99)(24, 88, 43, 107, 28, 92, 41, 105)(30, 94, 40, 104, 32, 96, 36, 100)(31, 95, 44, 108, 33, 97, 42, 106)(45, 109, 54, 118, 50, 114, 56, 120)(46, 110, 53, 117, 48, 112, 58, 122)(47, 111, 59, 123, 49, 113, 60, 124)(51, 115, 55, 119, 52, 116, 57, 121)(61, 125, 63, 127, 62, 126, 64, 128)(129, 193, 131, 195, 138, 202, 133, 197)(130, 194, 135, 199, 147, 211, 136, 200)(132, 196, 140, 204, 157, 221, 141, 205)(134, 198, 144, 208, 162, 226, 145, 209)(137, 201, 151, 215, 173, 237, 152, 216)(139, 203, 155, 219, 178, 242, 156, 220)(142, 206, 158, 222, 179, 243, 159, 223)(143, 207, 160, 224, 180, 244, 161, 225)(146, 210, 163, 227, 181, 245, 164, 228)(148, 212, 167, 231, 186, 250, 168, 232)(149, 213, 169, 233, 187, 251, 170, 234)(150, 214, 171, 235, 188, 252, 172, 236)(153, 217, 174, 238, 189, 253, 175, 239)(154, 218, 176, 240, 190, 254, 177, 241)(165, 229, 182, 246, 191, 255, 183, 247)(166, 230, 184, 248, 192, 256, 185, 249)
	L = (1, 132)(2, 129)(3, 139)(4, 134)(5, 143)(6, 130)(7, 148)(8, 150)(9, 131)(10, 154)(11, 144)(12, 146)(13, 149)(14, 133)(15, 145)(16, 137)(17, 142)(18, 135)(19, 166)(20, 140)(21, 136)(22, 141)(23, 163)(24, 169)(25, 138)(26, 162)(27, 167)(28, 171)(29, 165)(30, 164)(31, 170)(32, 168)(33, 172)(34, 153)(35, 155)(36, 160)(37, 147)(38, 157)(39, 151)(40, 158)(41, 156)(42, 161)(43, 152)(44, 159)(45, 184)(46, 186)(47, 188)(48, 181)(49, 187)(50, 182)(51, 185)(52, 183)(53, 174)(54, 173)(55, 179)(56, 178)(57, 180)(58, 176)(59, 175)(60, 177)(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 ) }
Outer automorphisms :: reflexible
Dual of E13.1074
Graph:: bipartite
	v = 32 e = 128 f = 72
	degree seq :: [ 8^32 ]

E13.1059 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 8})
Quotient :: dipole
Aut^+ = (C2 x Q8) : C4 (small group id <64, 9>)
Aut   = $<128, 332>$ (small group id <128, 332>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1^-1, Y2^4, Y3^4, Y3^-2 * Y1^2, (R * Y3)^2, (R * Y1)^2, Y2 * Y3^2 * Y2^-1 * Y1^-2, Y3 * Y2 * Y1 * Y3^-1 * Y2^-1 * Y1^-1, (R * Y2 * Y3^-1)^2, Y2 * Y1 * Y2 * Y1^-1 * Y2 * Y3 * Y2 * Y1^-1, Y2 * Y1 * Y2^-1 * Y1^-1 * Y2 * Y3 * Y2^-1 * Y1^-1, Y2^-2 * Y1 * Y2^-1 * Y1 * Y2^-2 * Y1^-1 * Y2 * Y1^-1, Y2^-2 * Y1 * Y2 * Y1 * Y2^-2 * Y1^-1 * Y2^-1 * Y1^-1, (Y3 * Y2^-1)^8 ]
Map::
	R = (1, 65, 2, 66, 6, 70, 4, 68)(3, 67, 9, 73, 16, 80, 11, 75)(5, 69, 14, 78, 17, 81, 15, 79)(7, 71, 18, 82, 12, 76, 20, 84)(8, 72, 21, 85, 13, 77, 22, 86)(10, 74, 25, 89, 34, 98, 26, 90)(19, 83, 37, 101, 29, 93, 38, 102)(23, 87, 44, 108, 27, 91, 42, 106)(24, 88, 40, 104, 28, 92, 36, 100)(30, 94, 43, 107, 32, 96, 41, 105)(31, 95, 39, 103, 33, 97, 35, 99)(45, 109, 54, 118, 50, 114, 56, 120)(46, 110, 53, 117, 48, 112, 58, 122)(47, 111, 59, 123, 49, 113, 60, 124)(51, 115, 55, 119, 52, 116, 57, 121)(61, 125, 63, 127, 62, 126, 64, 128)(129, 193, 131, 195, 138, 202, 133, 197)(130, 194, 135, 199, 147, 211, 136, 200)(132, 196, 140, 204, 157, 221, 141, 205)(134, 198, 144, 208, 162, 226, 145, 209)(137, 201, 151, 215, 173, 237, 152, 216)(139, 203, 155, 219, 178, 242, 156, 220)(142, 206, 158, 222, 179, 243, 159, 223)(143, 207, 160, 224, 180, 244, 161, 225)(146, 210, 163, 227, 181, 245, 164, 228)(148, 212, 167, 231, 186, 250, 168, 232)(149, 213, 169, 233, 187, 251, 170, 234)(150, 214, 171, 235, 188, 252, 172, 236)(153, 217, 174, 238, 189, 253, 175, 239)(154, 218, 176, 240, 190, 254, 177, 241)(165, 229, 182, 246, 191, 255, 183, 247)(166, 230, 184, 248, 192, 256, 185, 249)
	L = (1, 132)(2, 129)(3, 139)(4, 134)(5, 143)(6, 130)(7, 148)(8, 150)(9, 131)(10, 154)(11, 144)(12, 146)(13, 149)(14, 133)(15, 145)(16, 137)(17, 142)(18, 135)(19, 166)(20, 140)(21, 136)(22, 141)(23, 170)(24, 164)(25, 138)(26, 162)(27, 172)(28, 168)(29, 165)(30, 169)(31, 163)(32, 171)(33, 167)(34, 153)(35, 161)(36, 156)(37, 147)(38, 157)(39, 159)(40, 152)(41, 160)(42, 155)(43, 158)(44, 151)(45, 184)(46, 186)(47, 188)(48, 181)(49, 187)(50, 182)(51, 185)(52, 183)(53, 174)(54, 173)(55, 179)(56, 178)(57, 180)(58, 176)(59, 175)(60, 177)(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 ) }
Outer automorphisms :: reflexible
Dual of E13.1073
Graph:: bipartite
	v = 32 e = 128 f = 72
	degree seq :: [ 8^32 ]

E13.1060 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 8})
Quotient :: dipole
Aut^+ = ((C8 x C2) : C2) : C2 (small group id <64, 8>)
Aut   = $<128, 327>$ (small group id <128, 327>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, (R * Y1)^2, (Y2 * Y1^-1)^2, (R * Y3)^2, Y1^4, Y2^-1 * Y1 * Y2 * Y1 * Y2 * Y1^-1 * Y2^-1 * Y1^-1, (Y3^-1 * Y1^-1)^4, Y2^8, (Y2^-3 * Y1^-1)^2 ]
Map::
	R = (1, 65, 2, 66, 6, 70, 4, 68)(3, 67, 9, 73, 19, 83, 8, 72)(5, 69, 11, 75, 25, 89, 13, 77)(7, 71, 17, 81, 35, 99, 16, 80)(10, 74, 23, 87, 34, 98, 22, 86)(12, 76, 15, 79, 33, 97, 27, 91)(14, 78, 29, 93, 36, 100, 31, 95)(18, 82, 39, 103, 26, 90, 38, 102)(20, 84, 41, 105, 28, 92, 43, 107)(21, 85, 37, 101, 30, 94, 42, 106)(24, 88, 47, 111, 57, 121, 46, 110)(32, 96, 51, 115, 55, 119, 40, 104)(44, 108, 58, 122, 45, 109, 52, 116)(48, 112, 56, 120, 62, 126, 61, 125)(49, 113, 53, 117, 50, 114, 54, 118)(59, 123, 63, 127, 60, 124, 64, 128)(129, 193, 131, 195, 138, 202, 152, 216, 176, 240, 160, 224, 142, 206, 133, 197)(130, 194, 135, 199, 146, 210, 168, 232, 184, 248, 172, 236, 148, 212, 136, 200)(132, 196, 139, 203, 154, 218, 177, 241, 189, 253, 175, 239, 156, 220, 140, 204)(134, 198, 143, 207, 162, 226, 180, 244, 190, 254, 181, 245, 164, 228, 144, 208)(137, 201, 149, 213, 163, 227, 159, 223, 179, 243, 187, 251, 173, 237, 150, 214)(141, 205, 157, 221, 178, 242, 188, 252, 174, 238, 151, 215, 161, 225, 158, 222)(145, 209, 165, 229, 155, 219, 171, 235, 186, 250, 191, 255, 182, 246, 166, 230)(147, 211, 169, 233, 185, 249, 192, 256, 183, 247, 167, 231, 153, 217, 170, 234)
	L = (1, 131)(2, 135)(3, 138)(4, 139)(5, 129)(6, 143)(7, 146)(8, 130)(9, 149)(10, 152)(11, 154)(12, 132)(13, 157)(14, 133)(15, 162)(16, 134)(17, 165)(18, 168)(19, 169)(20, 136)(21, 163)(22, 137)(23, 161)(24, 176)(25, 170)(26, 177)(27, 171)(28, 140)(29, 178)(30, 141)(31, 179)(32, 142)(33, 158)(34, 180)(35, 159)(36, 144)(37, 155)(38, 145)(39, 153)(40, 184)(41, 185)(42, 147)(43, 186)(44, 148)(45, 150)(46, 151)(47, 156)(48, 160)(49, 189)(50, 188)(51, 187)(52, 190)(53, 164)(54, 166)(55, 167)(56, 172)(57, 192)(58, 191)(59, 173)(60, 174)(61, 175)(62, 181)(63, 182)(64, 183)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 2, 8, 2, 8, 2, 8, 2, 8 ), ( 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8 ) }
Outer automorphisms :: reflexible
Dual of E13.1067
Graph:: bipartite
	v = 24 e = 128 f = 80
	degree seq :: [ 8^16, 16^8 ]

E13.1061 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 8})
Quotient :: dipole
Aut^+ = ((C8 x C2) : C2) : C2 (small group id <64, 8>)
Aut   = $<128, 327>$ (small group id <128, 327>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, Y1^4, (R * Y1)^2, (R * Y3)^2, (Y2^2 * Y1^-1)^2, Y1^-1 * Y2^-1 * Y1^2 * Y2 * Y1^-1, (Y2^-1 * Y1^-1 * Y2^-1)^2, (Y2 * Y1 * Y2 * Y1^-1)^2, (Y3^-1 * Y1^-1)^4, 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, 27, 91, 35, 99, 24, 88)(16, 80, 31, 95, 36, 100, 20, 84)(25, 89, 40, 104, 29, 93, 37, 101)(26, 90, 43, 107, 30, 94, 42, 106)(28, 92, 47, 111, 52, 116, 45, 109)(32, 96, 41, 105, 33, 97, 38, 102)(34, 98, 51, 115, 53, 117, 50, 114)(39, 103, 55, 119, 49, 113, 54, 118)(44, 108, 58, 122, 46, 110, 57, 121)(48, 112, 56, 120, 62, 126, 60, 124)(59, 123, 64, 128, 61, 125, 63, 127)(129, 193, 131, 195, 138, 202, 156, 220, 176, 240, 162, 226, 144, 208, 133, 197)(130, 194, 135, 199, 148, 212, 167, 231, 184, 248, 172, 236, 152, 216, 136, 200)(132, 196, 140, 204, 159, 223, 177, 241, 188, 252, 174, 238, 155, 219, 141, 205)(134, 198, 145, 209, 163, 227, 180, 244, 190, 254, 181, 245, 164, 228, 146, 210)(137, 201, 153, 217, 143, 207, 161, 225, 179, 243, 187, 251, 173, 237, 154, 218)(139, 203, 157, 221, 142, 206, 160, 224, 178, 242, 189, 253, 175, 239, 158, 222)(147, 211, 165, 229, 151, 215, 171, 235, 186, 250, 191, 255, 182, 246, 166, 230)(149, 213, 168, 232, 150, 214, 170, 234, 185, 249, 192, 256, 183, 247, 169, 233)
	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, 180)(36, 146)(37, 151)(38, 147)(39, 184)(40, 150)(41, 149)(42, 185)(43, 186)(44, 152)(45, 154)(46, 155)(47, 158)(48, 162)(49, 188)(50, 189)(51, 187)(52, 190)(53, 164)(54, 166)(55, 169)(56, 172)(57, 192)(58, 191)(59, 173)(60, 174)(61, 175)(62, 181)(63, 182)(64, 183)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 2, 8, 2, 8, 2, 8, 2, 8 ), ( 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8 ) }
Outer automorphisms :: reflexible
Dual of E13.1066
Graph:: bipartite
	v = 24 e = 128 f = 80
	degree seq :: [ 8^16, 16^8 ]

E13.1062 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 8})
Quotient :: dipole
Aut^+ = (C2 x Q8) : C4 (small group id <64, 9>)
Aut   = $<128, 332>$ (small group id <128, 332>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, Y1^4, (R * Y1)^2, (R * Y3)^2, Y2 * Y1^-1 * Y2^-3 * Y1^-1, Y2 * Y1 * Y2^-2 * Y1^-2 * Y2^-1 * Y1^-1, Y2^8, (Y2 * Y1 * Y2 * Y1^-1)^2, (Y3^-1 * Y1^-1)^4 ]
Map::
	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, 28, 92, 42, 106, 30, 94)(12, 76, 32, 96, 59, 123, 29, 93)(13, 77, 34, 98, 58, 122, 35, 99)(16, 80, 40, 104, 46, 110, 27, 91)(17, 81, 41, 105, 60, 124, 43, 107)(18, 82, 44, 108, 61, 125, 45, 109)(20, 84, 50, 114, 33, 97, 51, 115)(24, 88, 56, 120, 36, 100, 49, 113)(26, 90, 48, 112, 39, 103, 55, 119)(31, 95, 52, 116, 38, 102, 54, 118)(57, 121, 62, 126, 64, 128, 63, 127)(129, 193, 131, 195, 138, 202, 157, 221, 182, 246, 150, 214, 144, 208, 133, 197)(130, 194, 135, 199, 148, 212, 139, 203, 159, 223, 172, 236, 152, 216, 136, 200)(132, 196, 140, 204, 161, 225, 171, 235, 166, 230, 142, 206, 164, 228, 141, 205)(134, 198, 145, 209, 170, 234, 149, 213, 180, 244, 162, 226, 174, 238, 146, 210)(137, 201, 154, 218, 173, 237, 158, 222, 181, 245, 190, 254, 175, 239, 155, 219)(143, 207, 156, 220, 186, 250, 191, 255, 187, 251, 168, 232, 169, 233, 167, 231)(147, 211, 176, 240, 163, 227, 179, 243, 189, 253, 192, 256, 188, 252, 177, 241)(151, 215, 178, 242, 165, 229, 185, 249, 153, 217, 184, 248, 160, 224, 183, 247)
	L = (1, 131)(2, 135)(3, 138)(4, 140)(5, 129)(6, 145)(7, 148)(8, 130)(9, 154)(10, 157)(11, 159)(12, 161)(13, 132)(14, 164)(15, 156)(16, 133)(17, 170)(18, 134)(19, 176)(20, 139)(21, 180)(22, 144)(23, 178)(24, 136)(25, 184)(26, 173)(27, 137)(28, 186)(29, 182)(30, 181)(31, 172)(32, 183)(33, 171)(34, 174)(35, 179)(36, 141)(37, 185)(38, 142)(39, 143)(40, 169)(41, 167)(42, 149)(43, 166)(44, 152)(45, 158)(46, 146)(47, 155)(48, 163)(49, 147)(50, 165)(51, 189)(52, 162)(53, 190)(54, 150)(55, 151)(56, 160)(57, 153)(58, 191)(59, 168)(60, 177)(61, 192)(62, 175)(63, 187)(64, 188)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 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 E13.1070
Graph:: bipartite
	v = 24 e = 128 f = 80
	degree seq :: [ 8^16, 16^8 ]

E13.1063 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 8})
Quotient :: dipole
Aut^+ = (C2 x Q8) : C4 (small group id <64, 9>)
Aut   = $<128, 332>$ (small group id <128, 332>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, Y1^4, (R * Y1)^2, (R * Y3)^2, Y1 * Y2 * Y1 * Y2^-3, Y2 * Y1^-1 * Y2^2 * Y1^-1 * Y2 * Y1^-2, Y2 * Y1 * Y2^5 * Y1, Y2^-1 * Y1^2 * Y2^-1 * Y1^-1 * Y2^-2 * Y1^-1, (Y2 * Y1^-1)^4, (Y3^-1 * Y1^-1)^4 ]
Map::
	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, 28, 92, 42, 106, 29, 93)(12, 76, 32, 96, 59, 123, 33, 97)(13, 77, 34, 98, 58, 122, 35, 99)(16, 80, 31, 95, 46, 110, 40, 104)(17, 81, 41, 105, 60, 124, 43, 107)(18, 82, 44, 108, 61, 125, 45, 109)(20, 84, 49, 113, 27, 91, 50, 114)(24, 88, 52, 116, 36, 100, 56, 120)(26, 90, 48, 112, 39, 103, 55, 119)(30, 94, 51, 115, 38, 102, 54, 118)(57, 121, 62, 126, 64, 128, 63, 127)(129, 193, 131, 195, 138, 202, 147, 211, 176, 240, 163, 227, 144, 208, 133, 197)(130, 194, 135, 199, 148, 212, 169, 233, 167, 231, 143, 207, 152, 216, 136, 200)(132, 196, 140, 204, 155, 219, 137, 201, 154, 218, 173, 237, 164, 228, 141, 205)(134, 198, 145, 209, 170, 234, 160, 224, 183, 247, 151, 215, 174, 238, 146, 210)(139, 203, 158, 222, 172, 236, 156, 220, 186, 250, 191, 255, 187, 251, 159, 223)(142, 206, 157, 221, 181, 245, 190, 254, 175, 239, 168, 232, 171, 235, 166, 230)(149, 213, 179, 243, 162, 226, 177, 241, 165, 229, 185, 249, 153, 217, 180, 244)(150, 214, 178, 242, 189, 253, 192, 256, 188, 252, 184, 248, 161, 225, 182, 246)
	L = (1, 131)(2, 135)(3, 138)(4, 140)(5, 129)(6, 145)(7, 148)(8, 130)(9, 154)(10, 147)(11, 158)(12, 155)(13, 132)(14, 157)(15, 152)(16, 133)(17, 170)(18, 134)(19, 176)(20, 169)(21, 179)(22, 178)(23, 174)(24, 136)(25, 180)(26, 173)(27, 137)(28, 186)(29, 181)(30, 172)(31, 139)(32, 183)(33, 182)(34, 177)(35, 144)(36, 141)(37, 185)(38, 142)(39, 143)(40, 171)(41, 167)(42, 160)(43, 166)(44, 156)(45, 164)(46, 146)(47, 168)(48, 163)(49, 165)(50, 189)(51, 162)(52, 149)(53, 190)(54, 150)(55, 151)(56, 161)(57, 153)(58, 191)(59, 159)(60, 184)(61, 192)(62, 175)(63, 187)(64, 188)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 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 E13.1071
Graph:: bipartite
	v = 24 e = 128 f = 80
	degree seq :: [ 8^16, 16^8 ]

E13.1064 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 8})
Quotient :: dipole
Aut^+ = (C2 x Q8) : C4 (small group id <64, 9>)
Aut   = $<128, 332>$ (small group id <128, 332>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, (R * Y1)^2, (R * Y3)^2, Y1^4, Y2^-1 * Y1^-2 * Y2 * Y1^-2, Y2^2 * Y1^-1 * Y2^-2 * Y1^-1, (Y2 * Y1 * Y2 * Y1^-1)^2, (Y3^-1 * Y1^-1)^4, 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, 27, 91, 35, 99, 20, 84)(16, 80, 31, 95, 36, 100, 24, 88)(25, 89, 42, 106, 29, 93, 43, 107)(26, 90, 46, 110, 30, 94, 47, 111)(28, 92, 49, 113, 54, 118, 45, 109)(32, 96, 37, 101, 33, 97, 40, 104)(34, 98, 53, 117, 55, 119, 52, 116)(38, 102, 57, 121, 41, 105, 58, 122)(39, 103, 59, 123, 48, 112, 56, 120)(44, 108, 62, 126, 51, 115, 61, 125)(50, 114, 60, 124, 64, 128, 63, 127)(129, 193, 131, 195, 138, 202, 156, 220, 178, 242, 162, 226, 144, 208, 133, 197)(130, 194, 135, 199, 148, 212, 167, 231, 188, 252, 172, 236, 152, 216, 136, 200)(132, 196, 140, 204, 155, 219, 176, 240, 191, 255, 179, 243, 159, 223, 141, 205)(134, 198, 145, 209, 163, 227, 182, 246, 192, 256, 183, 247, 164, 228, 146, 210)(137, 201, 153, 217, 173, 237, 186, 250, 181, 245, 161, 225, 143, 207, 154, 218)(139, 203, 157, 221, 177, 241, 185, 249, 180, 244, 160, 224, 142, 206, 158, 222)(147, 211, 165, 229, 184, 248, 174, 238, 190, 254, 171, 235, 151, 215, 166, 230)(149, 213, 168, 232, 187, 251, 175, 239, 189, 253, 170, 234, 150, 214, 169, 233)
	L = (1, 131)(2, 135)(3, 138)(4, 140)(5, 129)(6, 145)(7, 148)(8, 130)(9, 153)(10, 156)(11, 157)(12, 155)(13, 132)(14, 158)(15, 154)(16, 133)(17, 163)(18, 134)(19, 165)(20, 167)(21, 168)(22, 169)(23, 166)(24, 136)(25, 173)(26, 137)(27, 176)(28, 178)(29, 177)(30, 139)(31, 141)(32, 142)(33, 143)(34, 144)(35, 182)(36, 146)(37, 184)(38, 147)(39, 188)(40, 187)(41, 149)(42, 150)(43, 151)(44, 152)(45, 186)(46, 190)(47, 189)(48, 191)(49, 185)(50, 162)(51, 159)(52, 160)(53, 161)(54, 192)(55, 164)(56, 174)(57, 180)(58, 181)(59, 175)(60, 172)(61, 170)(62, 171)(63, 179)(64, 183)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 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 E13.1068
Graph:: bipartite
	v = 24 e = 128 f = 80
	degree seq :: [ 8^16, 16^8 ]

E13.1065 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 8})
Quotient :: dipole
Aut^+ = (C2 x Q8) : C4 (small group id <64, 9>)
Aut   = $<128, 332>$ (small group id <128, 332>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, Y1^4, (R * Y1)^2, Y1^4, (R * Y3)^2, Y1^-1 * Y2^-1 * Y1^2 * Y2 * Y1^-1, Y2^3 * Y1^2 * Y2, Y2 * Y1 * Y2^-1 * Y1^-1 * Y2 * Y1^-1 * Y2^-1 * Y1^-1, (Y2 * Y1^-1 * Y2 * Y1)^2, (Y3^-1 * Y1^-1)^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, 16, 80, 28, 92)(20, 84, 37, 101, 24, 88, 38, 102)(25, 89, 42, 106, 29, 93, 44, 108)(26, 90, 40, 104, 30, 94, 36, 100)(31, 95, 43, 107, 33, 97, 41, 105)(32, 96, 35, 99, 34, 98, 39, 103)(45, 109, 55, 119, 46, 110, 57, 121)(47, 111, 53, 117, 49, 113, 54, 118)(48, 112, 59, 123, 50, 114, 60, 124)(51, 115, 56, 120, 52, 116, 58, 122)(61, 125, 63, 127, 62, 126, 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, 173, 237, 158, 222, 139, 203, 157, 221, 174, 238, 154, 218)(142, 206, 159, 223, 179, 243, 162, 226, 143, 207, 161, 225, 180, 244, 160, 224)(147, 211, 163, 227, 181, 245, 168, 232, 149, 213, 167, 231, 182, 246, 164, 228)(150, 214, 169, 233, 187, 251, 172, 236, 151, 215, 171, 235, 188, 252, 170, 234)(155, 219, 175, 239, 189, 253, 178, 242, 156, 220, 177, 241, 190, 254, 176, 240)(165, 229, 183, 247, 191, 255, 186, 250, 166, 230, 185, 249, 192, 256, 184, 248)
	L = (1, 131)(2, 135)(3, 138)(4, 140)(5, 129)(6, 145)(7, 148)(8, 130)(9, 153)(10, 146)(11, 157)(12, 152)(13, 132)(14, 159)(15, 161)(16, 133)(17, 144)(18, 134)(19, 163)(20, 141)(21, 167)(22, 169)(23, 171)(24, 136)(25, 173)(26, 137)(27, 175)(28, 177)(29, 174)(30, 139)(31, 179)(32, 142)(33, 180)(34, 143)(35, 181)(36, 147)(37, 183)(38, 185)(39, 182)(40, 149)(41, 187)(42, 150)(43, 188)(44, 151)(45, 158)(46, 154)(47, 189)(48, 155)(49, 190)(50, 156)(51, 162)(52, 160)(53, 168)(54, 164)(55, 191)(56, 165)(57, 192)(58, 166)(59, 172)(60, 170)(61, 178)(62, 176)(63, 186)(64, 184)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 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 E13.1069
Graph:: bipartite
	v = 24 e = 128 f = 80
	degree seq :: [ 8^16, 16^8 ]

E13.1066 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 8})
Quotient :: dipole
Aut^+ = ((C8 x C2) : C2) : C2 (small group id <64, 8>)
Aut   = $<128, 327>$ (small group id <128, 327>)
|r| :: 2
Presentation :: [ Y1, R^2, (R * Y3)^2, (R * Y1)^2, (Y3^-1 * Y2^-1)^2, Y2^4, (R * Y2 * Y3^-1)^2, Y2^-1 * Y3^-2 * Y2 * Y3^-1 * Y2^-1 * Y3 * Y2^-1, Y3^2 * Y2^-1 * Y3 * Y2^-2 * Y3 * Y2^-1, (Y3^-1 * Y2)^4, Y3^3 * Y2^-1 * Y3^-5 * Y2^-1, (Y3^-1 * Y1^-1)^8 ]
Map:: polytopal
	R = (1, 65)(2, 66)(3, 67)(4, 68)(5, 69)(6, 70)(7, 71)(8, 72)(9, 73)(10, 74)(11, 75)(12, 76)(13, 77)(14, 78)(15, 79)(16, 80)(17, 81)(18, 82)(19, 83)(20, 84)(21, 85)(22, 86)(23, 87)(24, 88)(25, 89)(26, 90)(27, 91)(28, 92)(29, 93)(30, 94)(31, 95)(32, 96)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)(129, 193, 130, 194, 134, 198, 132, 196)(131, 195, 137, 201, 149, 213, 139, 203)(133, 197, 141, 205, 146, 210, 135, 199)(136, 200, 147, 211, 162, 226, 143, 207)(138, 202, 151, 215, 161, 225, 153, 217)(140, 204, 144, 208, 163, 227, 156, 220)(142, 206, 159, 223, 164, 228, 157, 221)(145, 209, 165, 229, 155, 219, 167, 231)(148, 212, 171, 235, 150, 214, 169, 233)(152, 216, 175, 239, 186, 250, 172, 236)(154, 218, 168, 232, 158, 222, 170, 234)(160, 224, 177, 241, 182, 246, 179, 243)(166, 230, 183, 247, 178, 242, 181, 245)(173, 237, 180, 244, 174, 238, 185, 249)(176, 240, 184, 248, 190, 254, 187, 251)(188, 252, 191, 255, 189, 253, 192, 256)
	L = (1, 131)(2, 135)(3, 138)(4, 140)(5, 129)(6, 143)(7, 145)(8, 130)(9, 132)(10, 152)(11, 154)(12, 155)(13, 157)(14, 133)(15, 161)(16, 134)(17, 166)(18, 168)(19, 169)(20, 136)(21, 171)(22, 137)(23, 139)(24, 176)(25, 162)(26, 163)(27, 177)(28, 170)(29, 178)(30, 141)(31, 179)(32, 142)(33, 180)(34, 158)(35, 159)(36, 144)(37, 146)(38, 184)(39, 156)(40, 149)(41, 185)(42, 147)(43, 186)(44, 148)(45, 150)(46, 151)(47, 153)(48, 160)(49, 187)(50, 189)(51, 188)(52, 190)(53, 164)(54, 165)(55, 167)(56, 172)(57, 192)(58, 191)(59, 173)(60, 174)(61, 175)(62, 181)(63, 182)(64, 183)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 8, 16 ), ( 8, 16, 8, 16, 8, 16, 8, 16 ) }
Outer automorphisms :: reflexible
Dual of E13.1061
Graph:: simple bipartite
	v = 80 e = 128 f = 24
	degree seq :: [ 2^64, 8^16 ]

E13.1067 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 8})
Quotient :: dipole
Aut^+ = ((C8 x C2) : C2) : C2 (small group id <64, 8>)
Aut   = $<128, 327>$ (small group id <128, 327>)
|r| :: 2
Presentation :: [ Y1, R^2, Y2^4, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y2^-1 * Y3 * Y2^2 * Y3^-1 * Y2^-1, (Y3^2 * Y2^-1)^2, (Y3^-1 * Y2^-1 * Y3^-1)^2, Y3^8, (Y3^-1 * Y2 * Y3^-1 * Y2^-1)^2, (Y3^-1 * Y1^-1)^8 ]
Map:: polytopal
	R = (1, 65)(2, 66)(3, 67)(4, 68)(5, 69)(6, 70)(7, 71)(8, 72)(9, 73)(10, 74)(11, 75)(12, 76)(13, 77)(14, 78)(15, 79)(16, 80)(17, 81)(18, 82)(19, 83)(20, 84)(21, 85)(22, 86)(23, 87)(24, 88)(25, 89)(26, 90)(27, 91)(28, 92)(29, 93)(30, 94)(31, 95)(32, 96)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)(129, 193, 130, 194, 134, 198, 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, 168, 232, 157, 221, 165, 229)(154, 218, 171, 235, 158, 222, 170, 234)(156, 220, 175, 239, 180, 244, 173, 237)(160, 224, 169, 233, 161, 225, 166, 230)(162, 226, 179, 243, 181, 245, 178, 242)(167, 231, 183, 247, 177, 241, 182, 246)(172, 236, 186, 250, 174, 238, 185, 249)(176, 240, 184, 248, 190, 254, 188, 252)(187, 251, 192, 256, 189, 253, 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, 180)(36, 146)(37, 151)(38, 147)(39, 184)(40, 150)(41, 149)(42, 185)(43, 186)(44, 152)(45, 154)(46, 155)(47, 158)(48, 162)(49, 188)(50, 189)(51, 187)(52, 190)(53, 164)(54, 166)(55, 169)(56, 172)(57, 192)(58, 191)(59, 173)(60, 174)(61, 175)(62, 181)(63, 182)(64, 183)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 8, 16 ), ( 8, 16, 8, 16, 8, 16, 8, 16 ) }
Outer automorphisms :: reflexible
Dual of E13.1060
Graph:: simple bipartite
	v = 80 e = 128 f = 24
	degree seq :: [ 2^64, 8^16 ]

E13.1068 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 8})
Quotient :: dipole
Aut^+ = (C2 x Q8) : C4 (small group id <64, 9>)
Aut   = $<128, 332>$ (small group id <128, 332>)
|r| :: 2
Presentation :: [ Y1, R^2, Y2^4, Y2^4, (R * Y3)^2, (R * Y1)^2, Y3 * Y2 * Y3^-3 * Y2, (R * Y2 * Y3^-1)^2, Y3 * Y2^-2 * Y3 * Y2^-1 * Y3^2 * Y2^-1, Y3^-1 * Y2 * Y3 * Y2^-1 * Y3^-2 * Y2^-2, Y3 * Y2 * Y3^5 * Y2, (Y3^-1 * Y2)^4, (Y3 * Y2 * Y3 * Y2^-1)^2, (Y3^-1 * Y1^-1)^8 ]
Map:: polytopal
	R = (1, 65)(2, 66)(3, 67)(4, 68)(5, 69)(6, 70)(7, 71)(8, 72)(9, 73)(10, 74)(11, 75)(12, 76)(13, 77)(14, 78)(15, 79)(16, 80)(17, 81)(18, 82)(19, 83)(20, 84)(21, 85)(22, 86)(23, 87)(24, 88)(25, 89)(26, 90)(27, 91)(28, 92)(29, 93)(30, 94)(31, 95)(32, 96)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)(129, 193, 130, 194, 134, 198, 132, 196)(131, 195, 137, 201, 153, 217, 139, 203)(133, 197, 142, 206, 165, 229, 143, 207)(135, 199, 147, 211, 175, 239, 149, 213)(136, 200, 150, 214, 181, 245, 151, 215)(138, 202, 156, 220, 170, 234, 157, 221)(140, 204, 160, 224, 187, 251, 161, 225)(141, 205, 162, 226, 186, 250, 163, 227)(144, 208, 159, 223, 174, 238, 168, 232)(145, 209, 169, 233, 188, 252, 171, 235)(146, 210, 172, 236, 189, 253, 173, 237)(148, 212, 177, 241, 155, 219, 178, 242)(152, 216, 180, 244, 164, 228, 184, 248)(154, 218, 176, 240, 167, 231, 183, 247)(158, 222, 179, 243, 166, 230, 182, 246)(185, 249, 190, 254, 192, 256, 191, 255)
	L = (1, 131)(2, 135)(3, 138)(4, 140)(5, 129)(6, 145)(7, 148)(8, 130)(9, 154)(10, 147)(11, 158)(12, 155)(13, 132)(14, 157)(15, 152)(16, 133)(17, 170)(18, 134)(19, 176)(20, 169)(21, 179)(22, 178)(23, 174)(24, 136)(25, 180)(26, 173)(27, 137)(28, 186)(29, 181)(30, 172)(31, 139)(32, 183)(33, 182)(34, 177)(35, 144)(36, 141)(37, 185)(38, 142)(39, 143)(40, 171)(41, 167)(42, 160)(43, 166)(44, 156)(45, 164)(46, 146)(47, 168)(48, 163)(49, 165)(50, 189)(51, 162)(52, 149)(53, 190)(54, 150)(55, 151)(56, 161)(57, 153)(58, 191)(59, 159)(60, 184)(61, 192)(62, 175)(63, 187)(64, 188)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 8, 16 ), ( 8, 16, 8, 16, 8, 16, 8, 16 ) }
Outer automorphisms :: reflexible
Dual of E13.1064
Graph:: simple bipartite
	v = 80 e = 128 f = 24
	degree seq :: [ 2^64, 8^16 ]

E13.1069 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 8})
Quotient :: dipole
Aut^+ = (C2 x Q8) : C4 (small group id <64, 9>)
Aut   = $<128, 332>$ (small group id <128, 332>)
|r| :: 2
Presentation :: [ Y1, R^2, Y2^4, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y3^3 * Y2 * Y3^-1 * Y2, Y3^-2 * Y2^-1 * Y3^-1 * Y2^-2 * Y3^-1 * Y2^-1, Y3^5 * Y2^-1 * Y3 * Y2^-1, Y3^2 * Y2^-1 * Y3^-1 * Y2 * Y3 * Y2^-2, (Y3 * Y2 * Y3 * Y2^-1)^2, (Y3^-1 * Y1^-1)^8 ]
Map:: polytopal
	R = (1, 65)(2, 66)(3, 67)(4, 68)(5, 69)(6, 70)(7, 71)(8, 72)(9, 73)(10, 74)(11, 75)(12, 76)(13, 77)(14, 78)(15, 79)(16, 80)(17, 81)(18, 82)(19, 83)(20, 84)(21, 85)(22, 86)(23, 87)(24, 88)(25, 89)(26, 90)(27, 91)(28, 92)(29, 93)(30, 94)(31, 95)(32, 96)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)(129, 193, 130, 194, 134, 198, 132, 196)(131, 195, 137, 201, 153, 217, 139, 203)(133, 197, 142, 206, 165, 229, 143, 207)(135, 199, 147, 211, 175, 239, 149, 213)(136, 200, 150, 214, 181, 245, 151, 215)(138, 202, 156, 220, 170, 234, 158, 222)(140, 204, 160, 224, 187, 251, 157, 221)(141, 205, 162, 226, 186, 250, 163, 227)(144, 208, 168, 232, 174, 238, 155, 219)(145, 209, 169, 233, 188, 252, 171, 235)(146, 210, 172, 236, 189, 253, 173, 237)(148, 212, 178, 242, 161, 225, 179, 243)(152, 216, 184, 248, 164, 228, 177, 241)(154, 218, 176, 240, 167, 231, 183, 247)(159, 223, 180, 244, 166, 230, 182, 246)(185, 249, 190, 254, 192, 256, 191, 255)
	L = (1, 131)(2, 135)(3, 138)(4, 140)(5, 129)(6, 145)(7, 148)(8, 130)(9, 154)(10, 157)(11, 159)(12, 161)(13, 132)(14, 164)(15, 156)(16, 133)(17, 170)(18, 134)(19, 176)(20, 139)(21, 180)(22, 144)(23, 178)(24, 136)(25, 184)(26, 173)(27, 137)(28, 186)(29, 182)(30, 181)(31, 172)(32, 183)(33, 171)(34, 174)(35, 179)(36, 141)(37, 185)(38, 142)(39, 143)(40, 169)(41, 167)(42, 149)(43, 166)(44, 152)(45, 158)(46, 146)(47, 155)(48, 163)(49, 147)(50, 165)(51, 189)(52, 162)(53, 190)(54, 150)(55, 151)(56, 160)(57, 153)(58, 191)(59, 168)(60, 177)(61, 192)(62, 175)(63, 187)(64, 188)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 8, 16 ), ( 8, 16, 8, 16, 8, 16, 8, 16 ) }
Outer automorphisms :: reflexible
Dual of E13.1065
Graph:: simple bipartite
	v = 80 e = 128 f = 24
	degree seq :: [ 2^64, 8^16 ]

E13.1070 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 8})
Quotient :: dipole
Aut^+ = (C2 x Q8) : C4 (small group id <64, 9>)
Aut   = $<128, 332>$ (small group id <128, 332>)
|r| :: 2
Presentation :: [ Y1, R^2, Y2^4, (R * Y3)^2, (R * Y1)^2, Y2 * Y3^-1 * Y2^2 * Y3 * Y2, (R * Y2 * Y3^-1)^2, Y2^-1 * Y3^2 * Y2^-1 * Y3^-2, (Y3 * Y2^-1)^4, (Y3^-1 * Y1^-1)^8 ]
Map:: polytopal
	R = (1, 65)(2, 66)(3, 67)(4, 68)(5, 69)(6, 70)(7, 71)(8, 72)(9, 73)(10, 74)(11, 75)(12, 76)(13, 77)(14, 78)(15, 79)(16, 80)(17, 81)(18, 82)(19, 83)(20, 84)(21, 85)(22, 86)(23, 87)(24, 88)(25, 89)(26, 90)(27, 91)(28, 92)(29, 93)(30, 94)(31, 95)(32, 96)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)(129, 193, 130, 194, 134, 198, 132, 196)(131, 195, 137, 201, 145, 209, 139, 203)(133, 197, 142, 206, 146, 210, 143, 207)(135, 199, 147, 211, 140, 204, 149, 213)(136, 200, 150, 214, 141, 205, 151, 215)(138, 202, 155, 219, 163, 227, 148, 212)(144, 208, 159, 223, 164, 228, 152, 216)(153, 217, 170, 234, 157, 221, 171, 235)(154, 218, 174, 238, 158, 222, 175, 239)(156, 220, 177, 241, 182, 246, 173, 237)(160, 224, 165, 229, 161, 225, 168, 232)(162, 226, 181, 245, 183, 247, 180, 244)(166, 230, 185, 249, 169, 233, 186, 250)(167, 231, 187, 251, 176, 240, 184, 248)(172, 236, 190, 254, 179, 243, 189, 253)(178, 242, 188, 252, 192, 256, 191, 255)
	L = (1, 131)(2, 135)(3, 138)(4, 140)(5, 129)(6, 145)(7, 148)(8, 130)(9, 153)(10, 156)(11, 157)(12, 155)(13, 132)(14, 158)(15, 154)(16, 133)(17, 163)(18, 134)(19, 165)(20, 167)(21, 168)(22, 169)(23, 166)(24, 136)(25, 173)(26, 137)(27, 176)(28, 178)(29, 177)(30, 139)(31, 141)(32, 142)(33, 143)(34, 144)(35, 182)(36, 146)(37, 184)(38, 147)(39, 188)(40, 187)(41, 149)(42, 150)(43, 151)(44, 152)(45, 186)(46, 190)(47, 189)(48, 191)(49, 185)(50, 162)(51, 159)(52, 160)(53, 161)(54, 192)(55, 164)(56, 174)(57, 180)(58, 181)(59, 175)(60, 172)(61, 170)(62, 171)(63, 179)(64, 183)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 8, 16 ), ( 8, 16, 8, 16, 8, 16, 8, 16 ) }
Outer automorphisms :: reflexible
Dual of E13.1062
Graph:: simple bipartite
	v = 80 e = 128 f = 24
	degree seq :: [ 2^64, 8^16 ]

E13.1071 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 8})
Quotient :: dipole
Aut^+ = (C2 x Q8) : C4 (small group id <64, 9>)
Aut   = $<128, 332>$ (small group id <128, 332>)
|r| :: 2
Presentation :: [ Y1, R^2, Y2^4, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, Y2 * Y3^4 * Y2, Y3 * Y2^-1 * Y3^-1 * Y2 * Y3 * Y2^-1 * Y3^-1 * Y2^-1, Y3 * Y2 * Y3 * Y2 * Y3 * Y2^-1 * Y3 * Y2^-1, (Y3^-1 * Y1^-1)^8 ]
Map::
	R = (1, 65)(2, 66)(3, 67)(4, 68)(5, 69)(6, 70)(7, 71)(8, 72)(9, 73)(10, 74)(11, 75)(12, 76)(13, 77)(14, 78)(15, 79)(16, 80)(17, 81)(18, 82)(19, 83)(20, 84)(21, 85)(22, 86)(23, 87)(24, 88)(25, 89)(26, 90)(27, 91)(28, 92)(29, 93)(30, 94)(31, 95)(32, 96)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)(129, 193, 130, 194, 134, 198, 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, 144, 208, 156, 220)(148, 212, 165, 229, 152, 216, 166, 230)(153, 217, 170, 234, 157, 221, 172, 236)(154, 218, 168, 232, 158, 222, 164, 228)(159, 223, 171, 235, 161, 225, 169, 233)(160, 224, 163, 227, 162, 226, 167, 231)(173, 237, 183, 247, 174, 238, 185, 249)(175, 239, 181, 245, 177, 241, 182, 246)(176, 240, 187, 251, 178, 242, 188, 252)(179, 243, 184, 248, 180, 244, 186, 250)(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, 146)(11, 157)(12, 152)(13, 132)(14, 159)(15, 161)(16, 133)(17, 144)(18, 134)(19, 163)(20, 141)(21, 167)(22, 169)(23, 171)(24, 136)(25, 173)(26, 137)(27, 175)(28, 177)(29, 174)(30, 139)(31, 179)(32, 142)(33, 180)(34, 143)(35, 181)(36, 147)(37, 183)(38, 185)(39, 182)(40, 149)(41, 187)(42, 150)(43, 188)(44, 151)(45, 158)(46, 154)(47, 189)(48, 155)(49, 190)(50, 156)(51, 162)(52, 160)(53, 168)(54, 164)(55, 191)(56, 165)(57, 192)(58, 166)(59, 172)(60, 170)(61, 178)(62, 176)(63, 186)(64, 184)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 8, 16 ), ( 8, 16, 8, 16, 8, 16, 8, 16 ) }
Outer automorphisms :: reflexible
Dual of E13.1063
Graph:: simple bipartite
	v = 80 e = 128 f = 24
	degree seq :: [ 2^64, 8^16 ]

E13.1072 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 8})
Quotient :: dipole
Aut^+ = ((C8 x C2) : C2) : C2 (small group id <64, 8>)
Aut   = $<128, 327>$ (small group id <128, 327>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y1)^2, (R * Y3)^2, (Y3 * Y1^-1)^2, Y3^4, (R * Y2 * Y3^-1)^2, Y3^-1 * Y1^2 * Y3^2 * Y1^-2 * Y3^-1, Y3^-2 * Y1 * Y3 * Y1^2 * Y3 * Y1, Y1^8, (Y3^-1 * Y1^-3)^2, (Y3^-1 * Y1^-1)^4, (Y3 * Y2^-1)^4 ]
Map:: polytopal
	R = (1, 65, 2, 66, 6, 70, 15, 79, 33, 97, 28, 92, 12, 76, 4, 68)(3, 67, 9, 73, 21, 85, 45, 109, 52, 116, 43, 107, 20, 84, 8, 72)(5, 69, 11, 75, 25, 89, 49, 113, 53, 117, 34, 98, 31, 95, 14, 78)(7, 71, 18, 82, 39, 103, 29, 93, 51, 115, 57, 121, 38, 102, 17, 81)(10, 74, 24, 88, 37, 101, 56, 120, 62, 126, 61, 125, 48, 112, 23, 87)(13, 77, 27, 91, 50, 114, 55, 119, 35, 99, 16, 80, 36, 100, 30, 94)(19, 83, 42, 106, 54, 118, 63, 127, 59, 123, 46, 110, 26, 90, 41, 105)(22, 86, 40, 104, 32, 96, 44, 108, 58, 122, 64, 128, 60, 124, 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, 139)(5, 129)(6, 144)(7, 147)(8, 130)(9, 150)(10, 133)(11, 154)(12, 155)(13, 132)(14, 152)(15, 162)(16, 165)(17, 134)(18, 168)(19, 136)(20, 170)(21, 174)(22, 167)(23, 137)(24, 164)(25, 175)(26, 141)(27, 176)(28, 179)(29, 140)(30, 169)(31, 172)(32, 142)(33, 180)(34, 182)(35, 143)(36, 160)(37, 145)(38, 184)(39, 151)(40, 158)(41, 146)(42, 159)(43, 186)(44, 148)(45, 156)(46, 153)(47, 149)(48, 157)(49, 189)(50, 188)(51, 187)(52, 190)(53, 161)(54, 163)(55, 191)(56, 171)(57, 192)(58, 166)(59, 173)(60, 177)(61, 178)(62, 181)(63, 185)(64, 183)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 8, 8 ), ( 8^16 ) }
Outer automorphisms :: reflexible
Dual of E13.1057
Graph:: simple bipartite
	v = 72 e = 128 f = 32
	degree seq :: [ 2^64, 16^8 ]

E13.1073 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 8})
Quotient :: dipole
Aut^+ = (C2 x Q8) : C4 (small group id <64, 9>)
Aut   = $<128, 332>$ (small group id <128, 332>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y1)^2, (R * Y3)^2, Y3^4, Y1^-1 * Y3 * Y1 * Y3 * Y1^-2, (R * Y2 * Y3^-1)^2, Y3 * Y1 * Y3 * Y1^5, Y3 * Y1^-1 * Y3 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1^-1, (Y3 * Y2^-1)^4, Y3^2 * Y1^-1 * Y3 * Y1^-2 * Y3 * Y1^-1 ]
Map::
	R = (1, 65, 2, 66, 6, 70, 17, 81, 41, 105, 34, 98, 13, 77, 4, 68)(3, 67, 9, 73, 25, 89, 57, 121, 36, 100, 14, 78, 30, 94, 11, 75)(5, 69, 15, 79, 22, 86, 7, 71, 20, 84, 47, 111, 40, 104, 16, 80)(8, 72, 23, 87, 45, 109, 18, 82, 43, 107, 61, 125, 56, 120, 24, 88)(10, 74, 27, 91, 44, 108, 37, 101, 48, 112, 31, 95, 55, 119, 28, 92)(12, 76, 19, 83, 46, 110, 60, 124, 42, 106, 35, 99, 58, 122, 33, 97)(21, 85, 49, 113, 26, 90, 53, 117, 39, 103, 52, 116, 32, 96, 50, 114)(29, 93, 51, 115, 62, 126, 64, 128, 63, 127, 59, 123, 38, 102, 54, 118)(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, 145)(10, 133)(11, 157)(12, 160)(13, 152)(14, 132)(15, 165)(16, 167)(17, 170)(18, 172)(19, 134)(20, 169)(21, 136)(22, 179)(23, 181)(24, 183)(25, 180)(26, 137)(27, 185)(28, 173)(29, 174)(30, 177)(31, 139)(32, 142)(33, 182)(34, 144)(35, 141)(36, 176)(37, 184)(38, 143)(39, 171)(40, 187)(41, 164)(42, 154)(43, 162)(44, 147)(45, 190)(46, 159)(47, 156)(48, 148)(49, 168)(50, 188)(51, 153)(52, 150)(53, 161)(54, 151)(55, 163)(56, 166)(57, 191)(58, 155)(59, 158)(60, 192)(61, 178)(62, 175)(63, 186)(64, 189)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 8, 8 ), ( 8^16 ) }
Outer automorphisms :: reflexible
Dual of E13.1059
Graph:: simple bipartite
	v = 72 e = 128 f = 32
	degree seq :: [ 2^64, 16^8 ]

E13.1074 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 8})
Quotient :: dipole
Aut^+ = (C2 x Q8) : C4 (small group id <64, 9>)
Aut   = $<128, 332>$ (small group id <128, 332>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y1)^2, (R * Y3)^2, Y3^4, Y1^3 * Y3 * Y1^-1 * Y3, Y1^-2 * Y3^-1 * Y1 * Y3^-1 * Y1^-1, Y1^-1 * Y3^-1 * Y1 * Y3^-1 * Y1^-2, Y1^-1 * Y3^-1 * Y1 * Y3^-1 * Y1^-2, (R * Y2 * Y3^-1)^2, Y1^-1 * Y3^-1 * Y1 * Y3^-1 * Y1^-2, Y3 * Y1 * Y3^2 * Y1 * Y3 * Y1^2, Y3^-1 * Y1 * Y3^-1 * Y1^5, Y3 * Y1 * Y3 * Y1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1, Y3^-2 * Y1^2 * Y3^-1 * Y1^-1 * Y3 * Y1, (Y3 * Y2^-1)^4 ]
Map:: polytopal
	R = (1, 65, 2, 66, 6, 70, 17, 81, 41, 105, 29, 93, 13, 77, 4, 68)(3, 67, 9, 73, 24, 88, 8, 72, 23, 87, 53, 117, 30, 94, 11, 75)(5, 69, 15, 79, 37, 101, 59, 123, 34, 98, 12, 76, 32, 96, 16, 80)(7, 71, 20, 84, 46, 110, 19, 83, 45, 109, 61, 125, 51, 115, 22, 86)(10, 74, 27, 91, 44, 108, 26, 90, 54, 118, 39, 103, 52, 116, 28, 92)(14, 78, 18, 82, 43, 107, 60, 124, 42, 106, 35, 99, 58, 122, 36, 100)(21, 85, 49, 113, 38, 102, 48, 112, 31, 95, 55, 119, 33, 97, 50, 114)(25, 89, 47, 111, 40, 104, 56, 120, 62, 126, 64, 128, 63, 127, 57, 121)(129, 193)(130, 194)(131, 195)(132, 196)(133, 197)(134, 198)(135, 199)(136, 200)(137, 201)(138, 202)(139, 203)(140, 204)(141, 205)(142, 206)(143, 207)(144, 208)(145, 209)(146, 210)(147, 211)(148, 212)(149, 213)(150, 214)(151, 215)(152, 216)(153, 217)(154, 218)(155, 219)(156, 220)(157, 221)(158, 222)(159, 223)(160, 224)(161, 225)(162, 226)(163, 227)(164, 228)(165, 229)(166, 230)(167, 231)(168, 232)(169, 233)(170, 234)(171, 235)(172, 236)(173, 237)(174, 238)(175, 239)(176, 240)(177, 241)(178, 242)(179, 243)(180, 244)(181, 245)(182, 246)(183, 247)(184, 248)(185, 249)(186, 250)(187, 251)(188, 252)(189, 253)(190, 254)(191, 255)(192, 256)
	L = (1, 131)(2, 135)(3, 138)(4, 140)(5, 129)(6, 146)(7, 149)(8, 130)(9, 153)(10, 133)(11, 157)(12, 161)(13, 163)(14, 132)(15, 166)(16, 167)(17, 143)(18, 172)(19, 134)(20, 175)(21, 136)(22, 141)(23, 182)(24, 183)(25, 179)(26, 137)(27, 186)(28, 181)(29, 173)(30, 177)(31, 139)(32, 185)(33, 142)(34, 169)(35, 180)(36, 176)(37, 184)(38, 170)(39, 171)(40, 144)(41, 151)(42, 145)(43, 168)(44, 147)(45, 159)(46, 156)(47, 164)(48, 148)(49, 160)(50, 189)(51, 154)(52, 150)(53, 190)(54, 162)(55, 165)(56, 152)(57, 158)(58, 191)(59, 155)(60, 178)(61, 192)(62, 174)(63, 187)(64, 188)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 8, 8 ), ( 8^16 ) }
Outer automorphisms :: reflexible
Dual of E13.1058
Graph:: simple bipartite
	v = 72 e = 128 f = 32
	degree seq :: [ 2^64, 16^8 ]

E13.1075 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {4, 4, 8})
Quotient :: edge
Aut^+ = (C8 x C2) : C4 (small group id <64, 18>)
Aut   = $<128, 742>$ (small group id <128, 742>)
|r| :: 2
Presentation :: [ F^2, T1^4, (F * T2)^2, (F * T1)^2, T2^2 * T1 * T2^2 * T1^-1, T2 * T1^-1 * T2^-2 * T1^-1 * T2 * T1^-2, (T2 * T1^-1)^4, (T2^-1 * T1 * T2^-1 * T1^-1)^2, T2^8 ]
Map:: polytopal non-degenerate
	R = (1, 3, 10, 28, 59, 40, 16, 5)(2, 7, 20, 50, 64, 56, 24, 8)(4, 12, 33, 53, 63, 47, 29, 13)(6, 17, 42, 37, 57, 25, 46, 18)(9, 26, 14, 38, 43, 62, 45, 27)(11, 30, 15, 39, 41, 61, 44, 31)(19, 48, 22, 54, 34, 58, 36, 49)(21, 51, 23, 55, 32, 60, 35, 52)(65, 66, 70, 68)(67, 73, 89, 75)(69, 78, 101, 79)(71, 83, 111, 85)(72, 86, 117, 87)(74, 88, 106, 93)(76, 96, 120, 98)(77, 99, 114, 100)(80, 84, 110, 97)(81, 105, 104, 107)(82, 108, 92, 109)(90, 122, 125, 115)(91, 113, 103, 119)(94, 124, 126, 112)(95, 116, 102, 118)(121, 127, 123, 128)
	L = (1, 65)(2, 66)(3, 67)(4, 68)(5, 69)(6, 70)(7, 71)(8, 72)(9, 73)(10, 74)(11, 75)(12, 76)(13, 77)(14, 78)(15, 79)(16, 80)(17, 81)(18, 82)(19, 83)(20, 84)(21, 85)(22, 86)(23, 87)(24, 88)(25, 89)(26, 90)(27, 91)(28, 92)(29, 93)(30, 94)(31, 95)(32, 96)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 8^4 ), ( 8^8 ) }
Outer automorphisms :: reflexible
Dual of E13.1076
Transitivity :: ET+
Graph:: simple bipartite
	v = 24 e = 64 f = 16
	degree seq :: [ 4^16, 8^8 ]

E13.1076 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {4, 4, 8})
Quotient :: loop
Aut^+ = (C8 x C2) : C4 (small group id <64, 18>)
Aut   = $<128, 742>$ (small group id <128, 742>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, T1^4, T2^4, T2 * T1 * T2^-2 * T1 * T2 * T1^-2, T1^-1 * T2^2 * T1^-2 * T2^-2 * T1^-1, T2 * T1 * T2 * T1^-1 * T2^-1 * T1 * T2^-1 * T1^-1, T2^-2 * T1 * T2^-1 * T1^-2 * T2^-1 * T1, T2 * T1^-1 * T2 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 65, 3, 67, 10, 74, 5, 69)(2, 66, 7, 71, 19, 83, 8, 72)(4, 68, 12, 76, 31, 95, 13, 77)(6, 70, 16, 80, 41, 105, 17, 81)(9, 73, 24, 88, 44, 108, 25, 89)(11, 75, 28, 92, 43, 107, 29, 93)(14, 78, 36, 100, 42, 106, 37, 101)(15, 79, 38, 102, 40, 104, 39, 103)(18, 82, 46, 110, 34, 98, 47, 111)(20, 84, 50, 114, 33, 97, 51, 115)(21, 85, 53, 117, 32, 96, 54, 118)(22, 86, 55, 119, 30, 94, 56, 120)(23, 87, 48, 112, 35, 99, 57, 121)(26, 90, 58, 122, 63, 127, 59, 123)(27, 91, 52, 116, 62, 126, 45, 109)(49, 113, 61, 125, 64, 128, 60, 124)
	L = (1, 66)(2, 70)(3, 73)(4, 65)(5, 78)(6, 68)(7, 82)(8, 85)(9, 87)(10, 90)(11, 67)(12, 94)(13, 97)(14, 99)(15, 69)(16, 104)(17, 107)(18, 109)(19, 112)(20, 71)(21, 116)(22, 72)(23, 75)(24, 118)(25, 111)(26, 105)(27, 74)(28, 120)(29, 115)(30, 123)(31, 113)(32, 76)(33, 122)(34, 77)(35, 79)(36, 117)(37, 110)(38, 119)(39, 114)(40, 124)(41, 91)(42, 80)(43, 125)(44, 81)(45, 84)(46, 92)(47, 102)(48, 95)(49, 83)(50, 88)(51, 100)(52, 86)(53, 93)(54, 103)(55, 89)(56, 101)(57, 126)(58, 98)(59, 96)(60, 106)(61, 108)(62, 128)(63, 121)(64, 127)
	local type(s) :: { ( 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E13.1075
Transitivity :: ET+ VT+ AT
Graph:: simple bipartite
	v = 16 e = 64 f = 24
	degree seq :: [ 8^16 ]

E13.1077 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 8})
Quotient :: dipole
Aut^+ = (C8 x C2) : C4 (small group id <64, 18>)
Aut   = $<128, 742>$ (small group id <128, 742>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, (R * Y1)^2, (R * Y3)^2, Y1^4, Y2^2 * Y1 * Y2^2 * Y1^-1, Y2^-1 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2^-1 * Y1^-1, Y2 * Y1^-1 * Y2^-2 * Y1^-1 * Y2 * Y1^-2, (Y2^-1 * Y1 * Y2^-1 * Y1^-1)^2, (Y3^-1 * Y1^-1)^4, Y2^8 ]
Map::
	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, 58, 122, 61, 125, 51, 115)(27, 91, 49, 113, 39, 103, 55, 119)(30, 94, 60, 124, 62, 126, 48, 112)(31, 95, 52, 116, 38, 102, 54, 118)(57, 121, 63, 127, 59, 123, 64, 128)(129, 193, 131, 195, 138, 202, 156, 220, 187, 251, 168, 232, 144, 208, 133, 197)(130, 194, 135, 199, 148, 212, 178, 242, 192, 256, 184, 248, 152, 216, 136, 200)(132, 196, 140, 204, 161, 225, 181, 245, 191, 255, 175, 239, 157, 221, 141, 205)(134, 198, 145, 209, 170, 234, 165, 229, 185, 249, 153, 217, 174, 238, 146, 210)(137, 201, 154, 218, 142, 206, 166, 230, 171, 235, 190, 254, 173, 237, 155, 219)(139, 203, 158, 222, 143, 207, 167, 231, 169, 233, 189, 253, 172, 236, 159, 223)(147, 211, 176, 240, 150, 214, 182, 246, 162, 226, 186, 250, 164, 228, 177, 241)(149, 213, 179, 243, 151, 215, 183, 247, 160, 224, 188, 252, 163, 227, 180, 244)
	L = (1, 131)(2, 135)(3, 138)(4, 140)(5, 129)(6, 145)(7, 148)(8, 130)(9, 154)(10, 156)(11, 158)(12, 161)(13, 132)(14, 166)(15, 167)(16, 133)(17, 170)(18, 134)(19, 176)(20, 178)(21, 179)(22, 182)(23, 183)(24, 136)(25, 174)(26, 142)(27, 137)(28, 187)(29, 141)(30, 143)(31, 139)(32, 188)(33, 181)(34, 186)(35, 180)(36, 177)(37, 185)(38, 171)(39, 169)(40, 144)(41, 189)(42, 165)(43, 190)(44, 159)(45, 155)(46, 146)(47, 157)(48, 150)(49, 147)(50, 192)(51, 151)(52, 149)(53, 191)(54, 162)(55, 160)(56, 152)(57, 153)(58, 164)(59, 168)(60, 163)(61, 172)(62, 173)(63, 175)(64, 184)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 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 E13.1078
Graph:: bipartite
	v = 24 e = 128 f = 80
	degree seq :: [ 8^16, 16^8 ]

E13.1078 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 8})
Quotient :: dipole
Aut^+ = (C8 x C2) : C4 (small group id <64, 18>)
Aut   = $<128, 742>$ (small group id <128, 742>)
|r| :: 2
Presentation :: [ Y1, R^2, Y2^4, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y2 * Y3^-2 * Y2^-1 * Y3^-2, Y3^3 * Y2^-2 * Y3 * Y2^2, Y3^-1 * Y2^-1 * Y3^-1 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1, (Y2, Y3^-1, Y2^-1), (Y3^-1 * Y2 * Y3^-1 * Y2^-1)^2, Y2^-1 * Y3^-1 * Y2^-1 * Y3^2 * Y2^-1 * Y3^-1 * Y2^-1, (Y3^-1 * Y1^-1)^8 ]
Map:: polytopal
	R = (1, 65)(2, 66)(3, 67)(4, 68)(5, 69)(6, 70)(7, 71)(8, 72)(9, 73)(10, 74)(11, 75)(12, 76)(13, 77)(14, 78)(15, 79)(16, 80)(17, 81)(18, 82)(19, 83)(20, 84)(21, 85)(22, 86)(23, 87)(24, 88)(25, 89)(26, 90)(27, 91)(28, 92)(29, 93)(30, 94)(31, 95)(32, 96)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)(129, 193, 130, 194, 134, 198, 132, 196)(131, 195, 137, 201, 153, 217, 139, 203)(133, 197, 142, 206, 165, 229, 143, 207)(135, 199, 147, 211, 175, 239, 149, 213)(136, 200, 150, 214, 181, 245, 151, 215)(138, 202, 152, 216, 170, 234, 157, 221)(140, 204, 160, 224, 184, 248, 162, 226)(141, 205, 163, 227, 178, 242, 164, 228)(144, 208, 148, 212, 174, 238, 161, 225)(145, 209, 169, 233, 168, 232, 171, 235)(146, 210, 172, 236, 156, 220, 173, 237)(154, 218, 186, 250, 189, 253, 179, 243)(155, 219, 177, 241, 167, 231, 183, 247)(158, 222, 188, 252, 190, 254, 176, 240)(159, 223, 180, 244, 166, 230, 182, 246)(185, 249, 191, 255, 187, 251, 192, 256)
	L = (1, 131)(2, 135)(3, 138)(4, 140)(5, 129)(6, 145)(7, 148)(8, 130)(9, 154)(10, 156)(11, 158)(12, 161)(13, 132)(14, 166)(15, 167)(16, 133)(17, 170)(18, 134)(19, 176)(20, 178)(21, 179)(22, 182)(23, 183)(24, 136)(25, 174)(26, 142)(27, 137)(28, 187)(29, 141)(30, 143)(31, 139)(32, 188)(33, 181)(34, 186)(35, 180)(36, 177)(37, 185)(38, 171)(39, 169)(40, 144)(41, 189)(42, 165)(43, 190)(44, 159)(45, 155)(46, 146)(47, 157)(48, 150)(49, 147)(50, 192)(51, 151)(52, 149)(53, 191)(54, 162)(55, 160)(56, 152)(57, 153)(58, 164)(59, 168)(60, 163)(61, 172)(62, 173)(63, 175)(64, 184)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 8, 16 ), ( 8, 16, 8, 16, 8, 16, 8, 16 ) }
Outer automorphisms :: reflexible
Dual of E13.1077
Graph:: simple bipartite
	v = 80 e = 128 f = 24
	degree seq :: [ 2^64, 8^16 ]

E13.1079 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {4, 4, 8})
Quotient :: edge
Aut^+ = (C4 x C4) : C4 (small group id <64, 20>)
Aut   = $<128, 734>$ (small group id <128, 734>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, T1^4, T2^4, T2^-2 * T1 * T2^-2 * T1^-1, (T1^-1, T2^-1, T1^-1), (T2 * T1^-1)^8 ]
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, 47, 31, 48)(30, 49, 32, 50)(34, 54, 37, 55)(36, 56, 38, 57)(39, 59, 44, 60)(51, 61, 52, 62)(53, 63, 58, 64)(65, 66, 70, 68)(67, 73, 87, 75)(69, 78, 97, 79)(71, 82, 103, 84)(72, 85, 108, 86)(74, 83, 99, 90)(76, 93, 115, 94)(77, 95, 116, 96)(80, 98, 117, 100)(81, 101, 122, 102)(88, 104, 118, 111)(89, 105, 119, 112)(91, 106, 120, 113)(92, 107, 121, 114)(109, 123, 127, 125)(110, 124, 128, 126)
	L = (1, 65)(2, 66)(3, 67)(4, 68)(5, 69)(6, 70)(7, 71)(8, 72)(9, 73)(10, 74)(11, 75)(12, 76)(13, 77)(14, 78)(15, 79)(16, 80)(17, 81)(18, 82)(19, 83)(20, 84)(21, 85)(22, 86)(23, 87)(24, 88)(25, 89)(26, 90)(27, 91)(28, 92)(29, 93)(30, 94)(31, 95)(32, 96)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 16^4 ) }
Outer automorphisms :: reflexible
Dual of E13.1084
Transitivity :: ET+
Graph:: simple bipartite
	v = 32 e = 64 f = 8
	degree seq :: [ 4^32 ]

E13.1080 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {4, 4, 8})
Quotient :: edge
Aut^+ = (C4 x C4) : C4 (small group id <64, 20>)
Aut   = $<128, 734>$ (small group id <128, 734>)
|r| :: 2
Presentation :: [ F^2, T1^4, (F * T1)^2, (F * T2)^2, T2 * T1 * T2^-2 * T1^-1 * T2, T2^2 * T1^-1 * T2 * T1^2 * T2 * T1^-1, T2^-1 * T1^2 * T2^-1 * T1^-1 * T2^-2 * T1^-1, (T2 * T1^-1)^4, T1^-2 * T2^2 * T1^-2 * T2^-2, T2 * T1^2 * T2 * T1^2 * T2^2, (T2 * T1 * T2 * T1^-1)^2, (T2^-1 * T1^-1)^4, T2^8 ]
Map:: polytopal non-degenerate
	R = (1, 3, 10, 28, 59, 40, 16, 5)(2, 7, 20, 50, 64, 56, 24, 8)(4, 12, 29, 53, 63, 47, 36, 13)(6, 17, 42, 37, 57, 25, 46, 18)(9, 26, 45, 62, 43, 38, 14, 27)(11, 30, 44, 61, 41, 39, 15, 31)(19, 48, 35, 60, 33, 54, 22, 49)(21, 51, 34, 58, 32, 55, 23, 52)(65, 66, 70, 68)(67, 73, 89, 75)(69, 78, 101, 79)(71, 83, 111, 85)(72, 86, 117, 87)(74, 84, 106, 93)(76, 96, 120, 97)(77, 98, 114, 99)(80, 88, 110, 100)(81, 105, 104, 107)(82, 108, 92, 109)(90, 112, 103, 119)(91, 113, 125, 122)(94, 115, 102, 118)(95, 116, 126, 124)(121, 127, 123, 128)
	L = (1, 65)(2, 66)(3, 67)(4, 68)(5, 69)(6, 70)(7, 71)(8, 72)(9, 73)(10, 74)(11, 75)(12, 76)(13, 77)(14, 78)(15, 79)(16, 80)(17, 81)(18, 82)(19, 83)(20, 84)(21, 85)(22, 86)(23, 87)(24, 88)(25, 89)(26, 90)(27, 91)(28, 92)(29, 93)(30, 94)(31, 95)(32, 96)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 8^4 ), ( 8^8 ) }
Outer automorphisms :: reflexible
Dual of E13.1082
Transitivity :: ET+
Graph:: simple bipartite
	v = 24 e = 64 f = 16
	degree seq :: [ 4^16, 8^8 ]

E13.1081 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {4, 4, 8})
Quotient :: edge
Aut^+ = (C4 x C4) : C4 (small group id <64, 20>)
Aut   = $<128, 734>$ (small group id <128, 734>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, T1^4, T2^-1 * T1^-2 * T2 * T1^-2, T1^-1 * T2^2 * T1 * T2^-2, (T2^-1 * T1)^4, T2^8, (T2 * T1 * T2 * T1^-1)^2 ]
Map:: polytopal non-degenerate
	R = (1, 3, 10, 27, 48, 34, 16, 5)(2, 7, 20, 39, 59, 44, 24, 8)(4, 12, 28, 50, 63, 51, 31, 13)(6, 17, 35, 54, 64, 55, 36, 18)(9, 25, 45, 58, 52, 32, 14, 26)(11, 29, 49, 57, 53, 33, 15, 30)(19, 37, 56, 46, 61, 42, 22, 38)(21, 40, 60, 47, 62, 43, 23, 41)(65, 66, 70, 68)(67, 73, 81, 75)(69, 78, 82, 79)(71, 83, 76, 85)(72, 86, 77, 87)(74, 84, 99, 92)(80, 88, 100, 95)(89, 106, 93, 107)(90, 110, 94, 111)(91, 109, 118, 113)(96, 101, 97, 104)(98, 116, 119, 117)(102, 121, 105, 122)(103, 120, 114, 124)(108, 125, 115, 126)(112, 123, 128, 127)
	L = (1, 65)(2, 66)(3, 67)(4, 68)(5, 69)(6, 70)(7, 71)(8, 72)(9, 73)(10, 74)(11, 75)(12, 76)(13, 77)(14, 78)(15, 79)(16, 80)(17, 81)(18, 82)(19, 83)(20, 84)(21, 85)(22, 86)(23, 87)(24, 88)(25, 89)(26, 90)(27, 91)(28, 92)(29, 93)(30, 94)(31, 95)(32, 96)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 8^4 ), ( 8^8 ) }
Outer automorphisms :: reflexible
Dual of E13.1083
Transitivity :: ET+
Graph:: simple bipartite
	v = 24 e = 64 f = 16
	degree seq :: [ 4^16, 8^8 ]

E13.1082 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {4, 4, 8})
Quotient :: loop
Aut^+ = (C4 x C4) : C4 (small group id <64, 20>)
Aut   = $<128, 734>$ (small group id <128, 734>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, T1^4, T2^4, T2^-2 * T1 * T2^-2 * T1^-1, (T1^-1, T2^-1, T1^-1), (T2 * T1^-1)^8 ]
Map:: polytopal non-degenerate
	R = (1, 65, 3, 67, 10, 74, 5, 69)(2, 66, 7, 71, 19, 83, 8, 72)(4, 68, 12, 76, 26, 90, 13, 77)(6, 70, 16, 80, 35, 99, 17, 81)(9, 73, 24, 88, 14, 78, 25, 89)(11, 75, 27, 91, 15, 79, 28, 92)(18, 82, 40, 104, 21, 85, 41, 105)(20, 84, 42, 106, 22, 86, 43, 107)(23, 87, 45, 109, 33, 97, 46, 110)(29, 93, 47, 111, 31, 95, 48, 112)(30, 94, 49, 113, 32, 96, 50, 114)(34, 98, 54, 118, 37, 101, 55, 119)(36, 100, 56, 120, 38, 102, 57, 121)(39, 103, 59, 123, 44, 108, 60, 124)(51, 115, 61, 125, 52, 116, 62, 126)(53, 117, 63, 127, 58, 122, 64, 128)
	L = (1, 66)(2, 70)(3, 73)(4, 65)(5, 78)(6, 68)(7, 82)(8, 85)(9, 87)(10, 83)(11, 67)(12, 93)(13, 95)(14, 97)(15, 69)(16, 98)(17, 101)(18, 103)(19, 99)(20, 71)(21, 108)(22, 72)(23, 75)(24, 104)(25, 105)(26, 74)(27, 106)(28, 107)(29, 115)(30, 76)(31, 116)(32, 77)(33, 79)(34, 117)(35, 90)(36, 80)(37, 122)(38, 81)(39, 84)(40, 118)(41, 119)(42, 120)(43, 121)(44, 86)(45, 123)(46, 124)(47, 88)(48, 89)(49, 91)(50, 92)(51, 94)(52, 96)(53, 100)(54, 111)(55, 112)(56, 113)(57, 114)(58, 102)(59, 127)(60, 128)(61, 109)(62, 110)(63, 125)(64, 126)
	local type(s) :: { ( 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E13.1080
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 16 e = 64 f = 24
	degree seq :: [ 8^16 ]

E13.1083 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {4, 4, 8})
Quotient :: loop
Aut^+ = (C4 x C4) : C4 (small group id <64, 20>)
Aut   = $<128, 734>$ (small group id <128, 734>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, T1^4, T2^4, T1 * T2 * T1^2 * T2^-1 * T1, T2 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2 * 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 * T2^-1 ]
Map:: polytopal non-degenerate
	R = (1, 65, 3, 67, 10, 74, 5, 69)(2, 66, 7, 71, 19, 83, 8, 72)(4, 68, 12, 76, 29, 93, 13, 77)(6, 70, 16, 80, 34, 98, 17, 81)(9, 73, 23, 87, 45, 109, 24, 88)(11, 75, 27, 91, 50, 114, 28, 92)(14, 78, 30, 94, 51, 115, 31, 95)(15, 79, 32, 96, 52, 116, 33, 97)(18, 82, 35, 99, 53, 117, 36, 100)(20, 84, 39, 103, 58, 122, 40, 104)(21, 85, 41, 105, 59, 123, 42, 106)(22, 86, 43, 107, 60, 124, 44, 108)(25, 89, 46, 110, 61, 125, 47, 111)(26, 90, 48, 112, 62, 126, 49, 113)(37, 101, 54, 118, 63, 127, 55, 119)(38, 102, 56, 120, 64, 128, 57, 121)
	L = (1, 66)(2, 70)(3, 73)(4, 65)(5, 78)(6, 68)(7, 82)(8, 85)(9, 80)(10, 89)(11, 67)(12, 84)(13, 86)(14, 81)(15, 69)(16, 75)(17, 79)(18, 76)(19, 101)(20, 71)(21, 77)(22, 72)(23, 99)(24, 105)(25, 98)(26, 74)(27, 103)(28, 107)(29, 102)(30, 100)(31, 106)(32, 104)(33, 108)(34, 90)(35, 91)(36, 96)(37, 93)(38, 83)(39, 87)(40, 94)(41, 92)(42, 97)(43, 88)(44, 95)(45, 118)(46, 117)(47, 123)(48, 122)(49, 124)(50, 120)(51, 119)(52, 121)(53, 112)(54, 114)(55, 116)(56, 109)(57, 115)(58, 110)(59, 113)(60, 111)(61, 127)(62, 128)(63, 126)(64, 125)
	local type(s) :: { ( 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E13.1081
Transitivity :: ET+ VT+ AT
Graph:: simple bipartite
	v = 16 e = 64 f = 24
	degree seq :: [ 8^16 ]

E13.1084 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {4, 4, 8})
Quotient :: loop
Aut^+ = (C4 x C4) : C4 (small group id <64, 20>)
Aut   = $<128, 734>$ (small group id <128, 734>)
|r| :: 2
Presentation :: [ F^2, T1^4, (F * T1)^2, (F * T2)^2, T2 * T1 * T2^-2 * T1^-1 * T2, T2^2 * T1^-1 * T2 * T1^2 * T2 * T1^-1, T2^-1 * T1^2 * T2^-1 * T1^-1 * T2^-2 * T1^-1, (T2 * T1^-1)^4, T1^-2 * T2^2 * T1^-2 * T2^-2, T2 * T1^2 * T2 * T1^2 * T2^2, (T2 * T1 * T2 * T1^-1)^2, (T2^-1 * T1^-1)^4, T2^8 ]
Map:: polytopal non-degenerate
	R = (1, 65, 3, 67, 10, 74, 28, 92, 59, 123, 40, 104, 16, 80, 5, 69)(2, 66, 7, 71, 20, 84, 50, 114, 64, 128, 56, 120, 24, 88, 8, 72)(4, 68, 12, 76, 29, 93, 53, 117, 63, 127, 47, 111, 36, 100, 13, 77)(6, 70, 17, 81, 42, 106, 37, 101, 57, 121, 25, 89, 46, 110, 18, 82)(9, 73, 26, 90, 45, 109, 62, 126, 43, 107, 38, 102, 14, 78, 27, 91)(11, 75, 30, 94, 44, 108, 61, 125, 41, 105, 39, 103, 15, 79, 31, 95)(19, 83, 48, 112, 35, 99, 60, 124, 33, 97, 54, 118, 22, 86, 49, 113)(21, 85, 51, 115, 34, 98, 58, 122, 32, 96, 55, 119, 23, 87, 52, 116)
	L = (1, 66)(2, 70)(3, 73)(4, 65)(5, 78)(6, 68)(7, 83)(8, 86)(9, 89)(10, 84)(11, 67)(12, 96)(13, 98)(14, 101)(15, 69)(16, 88)(17, 105)(18, 108)(19, 111)(20, 106)(21, 71)(22, 117)(23, 72)(24, 110)(25, 75)(26, 112)(27, 113)(28, 109)(29, 74)(30, 115)(31, 116)(32, 120)(33, 76)(34, 114)(35, 77)(36, 80)(37, 79)(38, 118)(39, 119)(40, 107)(41, 104)(42, 93)(43, 81)(44, 92)(45, 82)(46, 100)(47, 85)(48, 103)(49, 125)(50, 99)(51, 102)(52, 126)(53, 87)(54, 94)(55, 90)(56, 97)(57, 127)(58, 91)(59, 128)(60, 95)(61, 122)(62, 124)(63, 123)(64, 121)
	local type(s) :: { ( 4^16 ) }
Outer automorphisms :: reflexible
Dual of E13.1079
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 8 e = 64 f = 32
	degree seq :: [ 16^8 ]

E13.1085 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 8})
Quotient :: dipole
Aut^+ = (C4 x C4) : C4 (small group id <64, 20>)
Aut   = $<128, 734>$ (small group id <128, 734>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1^-1, Y2^4, (R * Y3)^2, (R * Y1)^2, Y1^4, (R * Y2 * Y3^-1)^2, Y1 * Y2^-1 * Y1^2 * Y2 * Y1, Y3 * Y2^-1 * Y3^-1 * Y1 * Y2 * Y1^-1, Y2 * Y1^-1 * Y2 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1, Y2 * Y3 * Y2 * Y1 * Y2^-1 * Y3^-1 * Y2^-1 * Y1^-1, Y2 * Y3 * Y2^-1 * Y1 * Y2^-1 * Y3^-1 * Y2 * Y1^-1, Y2^-1 * Y3 * Y2 * Y1 * Y2 * Y3^-1 * Y2^-1 * Y1^-1, Y2^-1 * Y3 * Y2^-1 * Y1 * Y2 * Y3^-1 * Y2 * Y1^-1, (Y3 * Y2^-1)^8 ]
Map::
	R = (1, 65, 2, 66, 6, 70, 4, 68)(3, 67, 9, 73, 16, 80, 11, 75)(5, 69, 14, 78, 17, 81, 15, 79)(7, 71, 18, 82, 12, 76, 20, 84)(8, 72, 21, 85, 13, 77, 22, 86)(10, 74, 25, 89, 34, 98, 26, 90)(19, 83, 37, 101, 29, 93, 38, 102)(23, 87, 35, 99, 27, 91, 39, 103)(24, 88, 41, 105, 28, 92, 43, 107)(30, 94, 36, 100, 32, 96, 40, 104)(31, 95, 42, 106, 33, 97, 44, 108)(45, 109, 54, 118, 50, 114, 56, 120)(46, 110, 53, 117, 48, 112, 58, 122)(47, 111, 59, 123, 49, 113, 60, 124)(51, 115, 55, 119, 52, 116, 57, 121)(61, 125, 63, 127, 62, 126, 64, 128)(129, 193, 131, 195, 138, 202, 133, 197)(130, 194, 135, 199, 147, 211, 136, 200)(132, 196, 140, 204, 157, 221, 141, 205)(134, 198, 144, 208, 162, 226, 145, 209)(137, 201, 151, 215, 173, 237, 152, 216)(139, 203, 155, 219, 178, 242, 156, 220)(142, 206, 158, 222, 179, 243, 159, 223)(143, 207, 160, 224, 180, 244, 161, 225)(146, 210, 163, 227, 181, 245, 164, 228)(148, 212, 167, 231, 186, 250, 168, 232)(149, 213, 169, 233, 187, 251, 170, 234)(150, 214, 171, 235, 188, 252, 172, 236)(153, 217, 174, 238, 189, 253, 175, 239)(154, 218, 176, 240, 190, 254, 177, 241)(165, 229, 182, 246, 191, 255, 183, 247)(166, 230, 184, 248, 192, 256, 185, 249)
	L = (1, 132)(2, 129)(3, 139)(4, 134)(5, 143)(6, 130)(7, 148)(8, 150)(9, 131)(10, 154)(11, 144)(12, 146)(13, 149)(14, 133)(15, 145)(16, 137)(17, 142)(18, 135)(19, 166)(20, 140)(21, 136)(22, 141)(23, 167)(24, 171)(25, 138)(26, 162)(27, 163)(28, 169)(29, 165)(30, 168)(31, 172)(32, 164)(33, 170)(34, 153)(35, 151)(36, 158)(37, 147)(38, 157)(39, 155)(40, 160)(41, 152)(42, 159)(43, 156)(44, 161)(45, 184)(46, 186)(47, 188)(48, 181)(49, 187)(50, 182)(51, 185)(52, 183)(53, 174)(54, 173)(55, 179)(56, 178)(57, 180)(58, 176)(59, 175)(60, 177)(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 ) }
Outer automorphisms :: reflexible
Dual of E13.1090
Graph:: bipartite
	v = 32 e = 128 f = 72
	degree seq :: [ 8^32 ]

E13.1086 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 8})
Quotient :: dipole
Aut^+ = (C4 x C4) : C4 (small group id <64, 20>)
Aut   = $<128, 734>$ (small group id <128, 734>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, (R * Y1)^2, (R * Y3)^2, Y1^4, Y2^-1 * Y1^-2 * Y2 * Y1^-2, Y2^2 * Y1 * Y2^-2 * Y1^-1, Y2^8, (Y2 * Y1 * Y2 * Y1^-1)^2, (Y3^-1 * Y1^-1)^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, 20, 84, 35, 99, 28, 92)(16, 80, 24, 88, 36, 100, 31, 95)(25, 89, 42, 106, 29, 93, 43, 107)(26, 90, 46, 110, 30, 94, 47, 111)(27, 91, 45, 109, 54, 118, 49, 113)(32, 96, 37, 101, 33, 97, 40, 104)(34, 98, 52, 116, 55, 119, 53, 117)(38, 102, 57, 121, 41, 105, 58, 122)(39, 103, 56, 120, 50, 114, 60, 124)(44, 108, 61, 125, 51, 115, 62, 126)(48, 112, 59, 123, 64, 128, 63, 127)(129, 193, 131, 195, 138, 202, 155, 219, 176, 240, 162, 226, 144, 208, 133, 197)(130, 194, 135, 199, 148, 212, 167, 231, 187, 251, 172, 236, 152, 216, 136, 200)(132, 196, 140, 204, 156, 220, 178, 242, 191, 255, 179, 243, 159, 223, 141, 205)(134, 198, 145, 209, 163, 227, 182, 246, 192, 256, 183, 247, 164, 228, 146, 210)(137, 201, 153, 217, 173, 237, 186, 250, 180, 244, 160, 224, 142, 206, 154, 218)(139, 203, 157, 221, 177, 241, 185, 249, 181, 245, 161, 225, 143, 207, 158, 222)(147, 211, 165, 229, 184, 248, 174, 238, 189, 253, 170, 234, 150, 214, 166, 230)(149, 213, 168, 232, 188, 252, 175, 239, 190, 254, 171, 235, 151, 215, 169, 233)
	L = (1, 131)(2, 135)(3, 138)(4, 140)(5, 129)(6, 145)(7, 148)(8, 130)(9, 153)(10, 155)(11, 157)(12, 156)(13, 132)(14, 154)(15, 158)(16, 133)(17, 163)(18, 134)(19, 165)(20, 167)(21, 168)(22, 166)(23, 169)(24, 136)(25, 173)(26, 137)(27, 176)(28, 178)(29, 177)(30, 139)(31, 141)(32, 142)(33, 143)(34, 144)(35, 182)(36, 146)(37, 184)(38, 147)(39, 187)(40, 188)(41, 149)(42, 150)(43, 151)(44, 152)(45, 186)(46, 189)(47, 190)(48, 162)(49, 185)(50, 191)(51, 159)(52, 160)(53, 161)(54, 192)(55, 164)(56, 174)(57, 181)(58, 180)(59, 172)(60, 175)(61, 170)(62, 171)(63, 179)(64, 183)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 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 E13.1088
Graph:: bipartite
	v = 24 e = 128 f = 80
	degree seq :: [ 8^16, 16^8 ]

E13.1087 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 8})
Quotient :: dipole
Aut^+ = (C4 x C4) : C4 (small group id <64, 20>)
Aut   = $<128, 734>$ (small group id <128, 734>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, Y1^4, (R * Y1)^2, (R * Y3)^2, Y2^2 * Y1 * Y2^-2 * Y1^-1, (Y2^-1 * Y1)^4, Y2^-1 * Y1^2 * Y2^-1 * Y1^-1 * Y2^-2 * Y1^-1, Y2^2 * Y1^-1 * Y2 * Y1^2 * Y2 * Y1^-1, Y2^8, (Y2 * Y1 * Y2 * Y1^-1)^2, (Y3^-1 * Y1^-1)^4 ]
Map::
	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, 20, 84, 42, 106, 29, 93)(12, 76, 32, 96, 56, 120, 33, 97)(13, 77, 34, 98, 50, 114, 35, 99)(16, 80, 24, 88, 46, 110, 36, 100)(17, 81, 41, 105, 40, 104, 43, 107)(18, 82, 44, 108, 28, 92, 45, 109)(26, 90, 48, 112, 39, 103, 55, 119)(27, 91, 49, 113, 61, 125, 58, 122)(30, 94, 51, 115, 38, 102, 54, 118)(31, 95, 52, 116, 62, 126, 60, 124)(57, 121, 63, 127, 59, 123, 64, 128)(129, 193, 131, 195, 138, 202, 156, 220, 187, 251, 168, 232, 144, 208, 133, 197)(130, 194, 135, 199, 148, 212, 178, 242, 192, 256, 184, 248, 152, 216, 136, 200)(132, 196, 140, 204, 157, 221, 181, 245, 191, 255, 175, 239, 164, 228, 141, 205)(134, 198, 145, 209, 170, 234, 165, 229, 185, 249, 153, 217, 174, 238, 146, 210)(137, 201, 154, 218, 173, 237, 190, 254, 171, 235, 166, 230, 142, 206, 155, 219)(139, 203, 158, 222, 172, 236, 189, 253, 169, 233, 167, 231, 143, 207, 159, 223)(147, 211, 176, 240, 163, 227, 188, 252, 161, 225, 182, 246, 150, 214, 177, 241)(149, 213, 179, 243, 162, 226, 186, 250, 160, 224, 183, 247, 151, 215, 180, 244)
	L = (1, 131)(2, 135)(3, 138)(4, 140)(5, 129)(6, 145)(7, 148)(8, 130)(9, 154)(10, 156)(11, 158)(12, 157)(13, 132)(14, 155)(15, 159)(16, 133)(17, 170)(18, 134)(19, 176)(20, 178)(21, 179)(22, 177)(23, 180)(24, 136)(25, 174)(26, 173)(27, 137)(28, 187)(29, 181)(30, 172)(31, 139)(32, 183)(33, 182)(34, 186)(35, 188)(36, 141)(37, 185)(38, 142)(39, 143)(40, 144)(41, 167)(42, 165)(43, 166)(44, 189)(45, 190)(46, 146)(47, 164)(48, 163)(49, 147)(50, 192)(51, 162)(52, 149)(53, 191)(54, 150)(55, 151)(56, 152)(57, 153)(58, 160)(59, 168)(60, 161)(61, 169)(62, 171)(63, 175)(64, 184)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 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 E13.1089
Graph:: bipartite
	v = 24 e = 128 f = 80
	degree seq :: [ 8^16, 16^8 ]

E13.1088 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 8})
Quotient :: dipole
Aut^+ = (C4 x C4) : C4 (small group id <64, 20>)
Aut   = $<128, 734>$ (small group id <128, 734>)
|r| :: 2
Presentation :: [ Y1, R^2, Y2^4, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y3 * Y2 * Y3^-2 * Y2^-1 * Y3, Y3^-1 * Y2 * Y3 * Y2 * Y3 * Y2^-1 * Y3^-1 * Y2^-1, Y3 * Y2^-1 * Y3 * Y2 * Y3^-1 * Y2 * Y3^-1 * Y2^-1, (Y2^-1 * Y3 * Y2 * Y3)^2, Y3^3 * Y2^-2 * Y3 * Y2^-2, (Y3 * Y2^-1)^4, (Y3^-1 * Y1^-1)^8 ]
Map:: polytopal
	R = (1, 65)(2, 66)(3, 67)(4, 68)(5, 69)(6, 70)(7, 71)(8, 72)(9, 73)(10, 74)(11, 75)(12, 76)(13, 77)(14, 78)(15, 79)(16, 80)(17, 81)(18, 82)(19, 83)(20, 84)(21, 85)(22, 86)(23, 87)(24, 88)(25, 89)(26, 90)(27, 91)(28, 92)(29, 93)(30, 94)(31, 95)(32, 96)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)(129, 193, 130, 194, 134, 198, 132, 196)(131, 195, 137, 201, 153, 217, 139, 203)(133, 197, 142, 206, 165, 229, 143, 207)(135, 199, 147, 211, 175, 239, 149, 213)(136, 200, 150, 214, 181, 245, 151, 215)(138, 202, 148, 212, 170, 234, 157, 221)(140, 204, 160, 224, 184, 248, 161, 225)(141, 205, 162, 226, 178, 242, 163, 227)(144, 208, 152, 216, 174, 238, 164, 228)(145, 209, 169, 233, 168, 232, 171, 235)(146, 210, 172, 236, 156, 220, 173, 237)(154, 218, 176, 240, 167, 231, 183, 247)(155, 219, 177, 241, 189, 253, 186, 250)(158, 222, 179, 243, 166, 230, 182, 246)(159, 223, 180, 244, 190, 254, 188, 252)(185, 249, 191, 255, 187, 251, 192, 256)
	L = (1, 131)(2, 135)(3, 138)(4, 140)(5, 129)(6, 145)(7, 148)(8, 130)(9, 154)(10, 156)(11, 158)(12, 157)(13, 132)(14, 155)(15, 159)(16, 133)(17, 170)(18, 134)(19, 176)(20, 178)(21, 179)(22, 177)(23, 180)(24, 136)(25, 174)(26, 173)(27, 137)(28, 187)(29, 181)(30, 172)(31, 139)(32, 183)(33, 182)(34, 186)(35, 188)(36, 141)(37, 185)(38, 142)(39, 143)(40, 144)(41, 167)(42, 165)(43, 166)(44, 189)(45, 190)(46, 146)(47, 164)(48, 163)(49, 147)(50, 192)(51, 162)(52, 149)(53, 191)(54, 150)(55, 151)(56, 152)(57, 153)(58, 160)(59, 168)(60, 161)(61, 169)(62, 171)(63, 175)(64, 184)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 8, 16 ), ( 8, 16, 8, 16, 8, 16, 8, 16 ) }
Outer automorphisms :: reflexible
Dual of E13.1086
Graph:: simple bipartite
	v = 80 e = 128 f = 24
	degree seq :: [ 2^64, 8^16 ]

E13.1089 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 8})
Quotient :: dipole
Aut^+ = (C4 x C4) : C4 (small group id <64, 20>)
Aut   = $<128, 734>$ (small group id <128, 734>)
|r| :: 2
Presentation :: [ Y1, R^2, Y2^4, Y2^4, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y2 * Y3 * Y2^-2 * Y3^-1 * Y2, Y2^-1 * Y3^2 * Y2 * Y3^-2, Y3^-1 * Y2^-1 * Y3^-1 * Y2 * Y3^-1 * Y2 * Y3^-1 * Y2^-1, (Y3^-1 * Y1^-1)^8 ]
Map:: polytopal
	R = (1, 65)(2, 66)(3, 67)(4, 68)(5, 69)(6, 70)(7, 71)(8, 72)(9, 73)(10, 74)(11, 75)(12, 76)(13, 77)(14, 78)(15, 79)(16, 80)(17, 81)(18, 82)(19, 83)(20, 84)(21, 85)(22, 86)(23, 87)(24, 88)(25, 89)(26, 90)(27, 91)(28, 92)(29, 93)(30, 94)(31, 95)(32, 96)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)(129, 193, 130, 194, 134, 198, 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, 148, 212, 163, 227, 156, 220)(144, 208, 152, 216, 164, 228, 159, 223)(153, 217, 170, 234, 157, 221, 171, 235)(154, 218, 174, 238, 158, 222, 175, 239)(155, 219, 173, 237, 182, 246, 177, 241)(160, 224, 165, 229, 161, 225, 168, 232)(162, 226, 180, 244, 183, 247, 181, 245)(166, 230, 185, 249, 169, 233, 186, 250)(167, 231, 184, 248, 178, 242, 188, 252)(172, 236, 189, 253, 179, 243, 190, 254)(176, 240, 187, 251, 192, 256, 191, 255)
	L = (1, 131)(2, 135)(3, 138)(4, 140)(5, 129)(6, 145)(7, 148)(8, 130)(9, 153)(10, 155)(11, 157)(12, 156)(13, 132)(14, 154)(15, 158)(16, 133)(17, 163)(18, 134)(19, 165)(20, 167)(21, 168)(22, 166)(23, 169)(24, 136)(25, 173)(26, 137)(27, 176)(28, 178)(29, 177)(30, 139)(31, 141)(32, 142)(33, 143)(34, 144)(35, 182)(36, 146)(37, 184)(38, 147)(39, 187)(40, 188)(41, 149)(42, 150)(43, 151)(44, 152)(45, 186)(46, 189)(47, 190)(48, 162)(49, 185)(50, 191)(51, 159)(52, 160)(53, 161)(54, 192)(55, 164)(56, 174)(57, 181)(58, 180)(59, 172)(60, 175)(61, 170)(62, 171)(63, 179)(64, 183)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 8, 16 ), ( 8, 16, 8, 16, 8, 16, 8, 16 ) }
Outer automorphisms :: reflexible
Dual of E13.1087
Graph:: simple bipartite
	v = 80 e = 128 f = 24
	degree seq :: [ 2^64, 8^16 ]

E13.1090 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 8})
Quotient :: dipole
Aut^+ = (C4 x C4) : C4 (small group id <64, 20>)
Aut   = $<128, 734>$ (small group id <128, 734>)
|r| :: 2
Presentation :: [ Y2, R^2, Y3^4, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y3 * Y1^-2 * Y3^-1 * Y1^2, Y3 * Y1 * Y3 * Y1^-1 * Y3^-1 * Y1 * Y3^-1 * Y1^-1, (Y3^-1 * Y1^-1)^4, Y3^-2 * Y1^-3 * Y3^2 * Y1^-1, (Y3 * Y2^-1)^4, Y1^8, (Y3 * Y1^-1)^4, (Y3 * Y1^-1 * Y3^-1 * Y1^-1)^2 ]
Map:: polytopal
	R = (1, 65, 2, 66, 6, 70, 17, 81, 41, 105, 34, 98, 13, 77, 4, 68)(3, 67, 9, 73, 18, 82, 44, 108, 61, 125, 60, 124, 30, 94, 11, 75)(5, 69, 15, 79, 19, 83, 46, 110, 62, 126, 57, 121, 35, 99, 16, 80)(7, 71, 20, 84, 42, 106, 63, 127, 59, 123, 33, 97, 12, 76, 22, 86)(8, 72, 23, 87, 43, 107, 64, 128, 58, 122, 36, 100, 14, 78, 24, 88)(10, 74, 27, 91, 45, 109, 32, 96, 50, 114, 21, 85, 49, 113, 28, 92)(25, 89, 47, 111, 40, 104, 56, 120, 38, 102, 54, 118, 29, 93, 51, 115)(26, 90, 53, 117, 39, 103, 52, 116, 37, 101, 48, 112, 31, 95, 55, 119)(129, 193)(130, 194)(131, 195)(132, 196)(133, 197)(134, 198)(135, 199)(136, 200)(137, 201)(138, 202)(139, 203)(140, 204)(141, 205)(142, 206)(143, 207)(144, 208)(145, 209)(146, 210)(147, 211)(148, 212)(149, 213)(150, 214)(151, 215)(152, 216)(153, 217)(154, 218)(155, 219)(156, 220)(157, 221)(158, 222)(159, 223)(160, 224)(161, 225)(162, 226)(163, 227)(164, 228)(165, 229)(166, 230)(167, 231)(168, 232)(169, 233)(170, 234)(171, 235)(172, 236)(173, 237)(174, 238)(175, 239)(176, 240)(177, 241)(178, 242)(179, 243)(180, 244)(181, 245)(182, 246)(183, 247)(184, 248)(185, 249)(186, 250)(187, 251)(188, 252)(189, 253)(190, 254)(191, 255)(192, 256)
	L = (1, 131)(2, 135)(3, 138)(4, 140)(5, 129)(6, 146)(7, 149)(8, 130)(9, 153)(10, 133)(11, 157)(12, 160)(13, 158)(14, 132)(15, 165)(16, 167)(17, 170)(18, 173)(19, 134)(20, 175)(21, 136)(22, 179)(23, 181)(24, 183)(25, 185)(26, 137)(27, 186)(28, 171)(29, 174)(30, 177)(31, 139)(32, 142)(33, 182)(34, 187)(35, 141)(36, 176)(37, 188)(38, 143)(39, 172)(40, 144)(41, 189)(42, 156)(43, 145)(44, 168)(45, 147)(46, 159)(47, 164)(48, 148)(49, 163)(50, 190)(51, 192)(52, 150)(53, 161)(54, 151)(55, 191)(56, 152)(57, 154)(58, 162)(59, 155)(60, 166)(61, 178)(62, 169)(63, 184)(64, 180)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 8, 8 ), ( 8^16 ) }
Outer automorphisms :: reflexible
Dual of E13.1085
Graph:: simple bipartite
	v = 72 e = 128 f = 32
	degree seq :: [ 2^64, 16^8 ]

E13.1091 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {4, 4, 8})
Quotient :: edge
Aut^+ = (C8 x C2) : C4 (small group id <64, 21>)
Aut   = $<128, 731>$ (small group id <128, 731>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, T1^4, T2 * T1^-2 * T2^-1 * T1^-2, T2^2 * T1 * T2^2 * T1^-1, (T2 * T1^-1)^4, (T2^-1 * T1 * T2^-1 * T1^-1)^2, T2^8 ]
Map:: polytopal non-degenerate
	R = (1, 3, 10, 27, 46, 34, 16, 5)(2, 7, 20, 39, 55, 44, 24, 8)(4, 12, 31, 49, 60, 48, 28, 13)(6, 17, 35, 52, 62, 53, 36, 18)(9, 25, 14, 32, 50, 59, 45, 26)(11, 29, 15, 33, 51, 61, 47, 30)(19, 37, 22, 42, 57, 63, 54, 38)(21, 40, 23, 43, 58, 64, 56, 41)(65, 66, 70, 68)(67, 73, 81, 75)(69, 78, 82, 79)(71, 83, 76, 85)(72, 86, 77, 87)(74, 88, 99, 92)(80, 84, 100, 95)(89, 101, 93, 104)(90, 106, 94, 107)(91, 109, 116, 111)(96, 102, 97, 105)(98, 114, 117, 115)(103, 118, 113, 120)(108, 121, 112, 122)(110, 119, 126, 124)(123, 127, 125, 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) :: { ( 8^4 ), ( 8^8 ) }
Outer automorphisms :: reflexible
Dual of E13.1092
Transitivity :: ET+
Graph:: simple bipartite
	v = 24 e = 64 f = 16
	degree seq :: [ 4^16, 8^8 ]

E13.1092 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {4, 4, 8})
Quotient :: loop
Aut^+ = (C8 x C2) : C4 (small group id <64, 21>)
Aut   = $<128, 731>$ (small group id <128, 731>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, T1^4, T2^4, T2 * T1^-2 * T2^-1 * T1^-2, T2^-2 * T1 * T2^-2 * T1^-1, (T2 * T1^-1)^8 ]
Map:: polytopal non-degenerate
	R = (1, 65, 3, 67, 10, 74, 5, 69)(2, 66, 7, 71, 19, 83, 8, 72)(4, 68, 12, 76, 25, 89, 13, 77)(6, 70, 16, 80, 28, 92, 17, 81)(9, 73, 23, 87, 14, 78, 24, 88)(11, 75, 26, 90, 15, 79, 27, 91)(18, 82, 29, 93, 21, 85, 30, 94)(20, 84, 31, 95, 22, 86, 32, 96)(33, 97, 41, 105, 35, 99, 42, 106)(34, 98, 43, 107, 36, 100, 44, 108)(37, 101, 45, 109, 39, 103, 46, 110)(38, 102, 47, 111, 40, 104, 48, 112)(49, 113, 57, 121, 51, 115, 58, 122)(50, 114, 59, 123, 52, 116, 60, 124)(53, 117, 61, 125, 55, 119, 62, 126)(54, 118, 63, 127, 56, 120, 64, 128)
	L = (1, 66)(2, 70)(3, 73)(4, 65)(5, 78)(6, 68)(7, 82)(8, 85)(9, 80)(10, 83)(11, 67)(12, 84)(13, 86)(14, 81)(15, 69)(16, 75)(17, 79)(18, 76)(19, 92)(20, 71)(21, 77)(22, 72)(23, 97)(24, 99)(25, 74)(26, 98)(27, 100)(28, 89)(29, 101)(30, 103)(31, 102)(32, 104)(33, 90)(34, 87)(35, 91)(36, 88)(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, 125)(58, 126)(59, 127)(60, 128)(61, 123)(62, 124)(63, 121)(64, 122)
	local type(s) :: { ( 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E13.1091
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 16 e = 64 f = 24
	degree seq :: [ 8^16 ]

E13.1093 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 8})
Quotient :: dipole
Aut^+ = (C8 x C2) : C4 (small group id <64, 21>)
Aut   = $<128, 731>$ (small group id <128, 731>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, (R * Y1)^2, (R * Y3)^2, Y1^4, Y2 * Y1^-2 * Y2^-1 * Y1^-2, Y2^2 * Y1 * Y2^2 * Y1^-1, (Y2^-1 * Y1 * Y2^-1 * Y1^-1)^2, (Y3^-1 * Y1^-1)^4, 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, 37, 101, 29, 93, 40, 104)(26, 90, 42, 106, 30, 94, 43, 107)(27, 91, 45, 109, 52, 116, 47, 111)(32, 96, 38, 102, 33, 97, 41, 105)(34, 98, 50, 114, 53, 117, 51, 115)(39, 103, 54, 118, 49, 113, 56, 120)(44, 108, 57, 121, 48, 112, 58, 122)(46, 110, 55, 119, 62, 126, 60, 124)(59, 123, 63, 127, 61, 125, 64, 128)(129, 193, 131, 195, 138, 202, 155, 219, 174, 238, 162, 226, 144, 208, 133, 197)(130, 194, 135, 199, 148, 212, 167, 231, 183, 247, 172, 236, 152, 216, 136, 200)(132, 196, 140, 204, 159, 223, 177, 241, 188, 252, 176, 240, 156, 220, 141, 205)(134, 198, 145, 209, 163, 227, 180, 244, 190, 254, 181, 245, 164, 228, 146, 210)(137, 201, 153, 217, 142, 206, 160, 224, 178, 242, 187, 251, 173, 237, 154, 218)(139, 203, 157, 221, 143, 207, 161, 225, 179, 243, 189, 253, 175, 239, 158, 222)(147, 211, 165, 229, 150, 214, 170, 234, 185, 249, 191, 255, 182, 246, 166, 230)(149, 213, 168, 232, 151, 215, 171, 235, 186, 250, 192, 256, 184, 248, 169, 233)
	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, 180)(36, 146)(37, 150)(38, 147)(39, 183)(40, 151)(41, 149)(42, 185)(43, 186)(44, 152)(45, 154)(46, 162)(47, 158)(48, 156)(49, 188)(50, 187)(51, 189)(52, 190)(53, 164)(54, 166)(55, 172)(56, 169)(57, 191)(58, 192)(59, 173)(60, 176)(61, 175)(62, 181)(63, 182)(64, 184)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 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 E13.1094
Graph:: bipartite
	v = 24 e = 128 f = 80
	degree seq :: [ 8^16, 16^8 ]

E13.1094 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 8})
Quotient :: dipole
Aut^+ = (C8 x C2) : C4 (small group id <64, 21>)
Aut   = $<128, 731>$ (small group id <128, 731>)
|r| :: 2
Presentation :: [ Y1, R^2, (R * Y3)^2, (R * Y1)^2, Y2^4, (R * Y2 * Y3^-1)^2, Y3^-1 * Y2^-2 * Y3 * Y2^-2, Y3^2 * Y2 * Y3^2 * Y2^-1, Y3^8, (Y3^-1 * Y2^-1)^4, (Y3 * Y2 * Y3 * Y2^-1)^2, (Y3^-1 * Y1^-1)^8 ]
Map:: polytopal
	R = (1, 65)(2, 66)(3, 67)(4, 68)(5, 69)(6, 70)(7, 71)(8, 72)(9, 73)(10, 74)(11, 75)(12, 76)(13, 77)(14, 78)(15, 79)(16, 80)(17, 81)(18, 82)(19, 83)(20, 84)(21, 85)(22, 86)(23, 87)(24, 88)(25, 89)(26, 90)(27, 91)(28, 92)(29, 93)(30, 94)(31, 95)(32, 96)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)(129, 193, 130, 194, 134, 198, 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, 165, 229, 157, 221, 168, 232)(154, 218, 170, 234, 158, 222, 171, 235)(155, 219, 173, 237, 180, 244, 175, 239)(160, 224, 166, 230, 161, 225, 169, 233)(162, 226, 178, 242, 181, 245, 179, 243)(167, 231, 182, 246, 177, 241, 184, 248)(172, 236, 185, 249, 176, 240, 186, 250)(174, 238, 183, 247, 190, 254, 188, 252)(187, 251, 191, 255, 189, 253, 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, 180)(36, 146)(37, 150)(38, 147)(39, 183)(40, 151)(41, 149)(42, 185)(43, 186)(44, 152)(45, 154)(46, 162)(47, 158)(48, 156)(49, 188)(50, 187)(51, 189)(52, 190)(53, 164)(54, 166)(55, 172)(56, 169)(57, 191)(58, 192)(59, 173)(60, 176)(61, 175)(62, 181)(63, 182)(64, 184)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 8, 16 ), ( 8, 16, 8, 16, 8, 16, 8, 16 ) }
Outer automorphisms :: reflexible
Dual of E13.1093
Graph:: simple bipartite
	v = 80 e = 128 f = 24
	degree seq :: [ 2^64, 8^16 ]

E13.1095 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {4, 4, 8})
Quotient :: edge
Aut^+ = ((C8 : C2) : C2) : C2 (small group id <64, 32>)
Aut   = $<128, 928>$ (small group id <128, 928>)
|r| :: 2
Presentation :: [ F^2, T2^4, (F * T1)^2, (F * T2)^2, T1^4, T2^4, (T2 * T1 * T2)^2, (T1^-1 * T2^2)^2, (T2^-1, T1^-1)^2, (T2 * T1^-1 * T2^-1 * T1^-1)^2, T1^-2 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-2 * T2 ]
Map:: polytopal non-degenerate
	R = (1, 3, 10, 5)(2, 7, 19, 8)(4, 12, 26, 13)(6, 16, 35, 17)(9, 24, 15, 25)(11, 27, 14, 28)(18, 40, 22, 41)(20, 42, 21, 43)(23, 45, 33, 46)(29, 49, 32, 50)(30, 47, 31, 48)(34, 54, 38, 55)(36, 56, 37, 57)(39, 59, 44, 60)(51, 61, 52, 62)(53, 63, 58, 64)(65, 66, 70, 68)(67, 73, 87, 75)(69, 78, 97, 79)(71, 82, 103, 84)(72, 85, 108, 86)(74, 90, 99, 83)(76, 93, 115, 94)(77, 95, 116, 96)(80, 98, 117, 100)(81, 101, 122, 102)(88, 106, 118, 111)(89, 112, 119, 107)(91, 104, 120, 113)(92, 114, 121, 105)(109, 125, 127, 123)(110, 124, 128, 126)
	L = (1, 65)(2, 66)(3, 67)(4, 68)(5, 69)(6, 70)(7, 71)(8, 72)(9, 73)(10, 74)(11, 75)(12, 76)(13, 77)(14, 78)(15, 79)(16, 80)(17, 81)(18, 82)(19, 83)(20, 84)(21, 85)(22, 86)(23, 87)(24, 88)(25, 89)(26, 90)(27, 91)(28, 92)(29, 93)(30, 94)(31, 95)(32, 96)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 16^4 ) }
Outer automorphisms :: reflexible
Dual of E13.1110
Transitivity :: ET+
Graph:: simple bipartite
	v = 32 e = 64 f = 8
	degree seq :: [ 4^32 ]

E13.1096 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {4, 4, 8})
Quotient :: edge
Aut^+ = (C4 x C2 x C2) : C4 (small group id <64, 33>)
Aut   = $<128, 932>$ (small group id <128, 932>)
|r| :: 2
Presentation :: [ F^2, T1^4, (F * T2)^2, T2^4, (F * T1)^2, T1 * T2^-1 * T1^2 * T2 * T1, T2 * T1^-1 * T2 * T1^-1 * T2 * T1 * T2 * T1^-1, (T2 * T1^-1 * T2^-1 * T1^-1)^2, T2 * T1 * T2^-2 * T1^-1 * T2^-1 * T1^-1 * T2^-2 * T1^-1 ]
Map:: 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, 50, 28)(14, 30, 51, 31)(15, 32, 52, 33)(18, 35, 53, 36)(20, 39, 58, 40)(21, 41, 59, 42)(22, 43, 60, 44)(25, 46, 61, 47)(26, 48, 62, 49)(37, 54, 63, 55)(38, 56, 64, 57)(65, 66, 70, 68)(67, 73, 80, 75)(69, 78, 81, 79)(71, 82, 76, 84)(72, 85, 77, 86)(74, 89, 98, 90)(83, 101, 93, 102)(87, 108, 91, 106)(88, 100, 92, 104)(94, 105, 96, 107)(95, 103, 97, 99)(109, 120, 114, 118)(110, 122, 112, 117)(111, 124, 113, 123)(115, 121, 116, 119)(125, 127, 126, 128)
	L = (1, 65)(2, 66)(3, 67)(4, 68)(5, 69)(6, 70)(7, 71)(8, 72)(9, 73)(10, 74)(11, 75)(12, 76)(13, 77)(14, 78)(15, 79)(16, 80)(17, 81)(18, 82)(19, 83)(20, 84)(21, 85)(22, 86)(23, 87)(24, 88)(25, 89)(26, 90)(27, 91)(28, 92)(29, 93)(30, 94)(31, 95)(32, 96)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 16^4 ) }
Outer automorphisms :: reflexible
Dual of E13.1111
Transitivity :: ET+
Graph:: simple bipartite
	v = 32 e = 64 f = 8
	degree seq :: [ 4^32 ]

E13.1097 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {4, 4, 8})
Quotient :: edge
Aut^+ = (C4 x C2 x C2) : C4 (small group id <64, 33>)
Aut   = $<128, 932>$ (small group id <128, 932>)
|r| :: 2
Presentation :: [ F^2, T2^4, T1^4, (F * T1)^2, (F * T2)^2, T2 * T1 * T2^-2 * T1^-1 * T2 * T1^-2, (T2^-1, T1^-1)^2, T2^2 * T1 * T2^-1 * T1^-2 * T2^-1 * T1^-1, T2 * T1 * T2 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1, T2 * T1^-1 * T2^-1 * T1 * T2^-1 * T1^-1 * T2 * T1^-1, T2^-1 * T1 * T2^-2 * T1^-1 * 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, 43, 25)(11, 28, 44, 29)(14, 36, 40, 37)(15, 38, 42, 39)(18, 46, 33, 47)(20, 50, 34, 51)(21, 53, 30, 54)(22, 55, 32, 56)(23, 49, 35, 57)(26, 52, 62, 45)(27, 58, 63, 59)(48, 61, 64, 60)(65, 66, 70, 68)(67, 73, 87, 75)(69, 78, 99, 79)(71, 82, 109, 84)(72, 85, 116, 86)(74, 90, 105, 91)(76, 94, 123, 96)(77, 97, 122, 98)(80, 104, 124, 106)(81, 107, 125, 108)(83, 112, 95, 113)(88, 118, 101, 110)(89, 119, 100, 115)(92, 120, 103, 114)(93, 117, 102, 111)(121, 126, 128, 127)
	L = (1, 65)(2, 66)(3, 67)(4, 68)(5, 69)(6, 70)(7, 71)(8, 72)(9, 73)(10, 74)(11, 75)(12, 76)(13, 77)(14, 78)(15, 79)(16, 80)(17, 81)(18, 82)(19, 83)(20, 84)(21, 85)(22, 86)(23, 87)(24, 88)(25, 89)(26, 90)(27, 91)(28, 92)(29, 93)(30, 94)(31, 95)(32, 96)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 16^4 ) }
Outer automorphisms :: reflexible
Dual of E13.1112
Transitivity :: ET+
Graph:: simple bipartite
	v = 32 e = 64 f = 8
	degree seq :: [ 4^32 ]

E13.1098 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {4, 4, 8})
Quotient :: edge
Aut^+ = ((C8 : C2) : C2) : C2 (small group id <64, 32>)
Aut   = $<128, 928>$ (small group id <128, 928>)
|r| :: 2
Presentation :: [ F^2, T1^4, (F * T2)^2, (F * T1)^2, (T2^2 * T1^-1)^2, (T2^-2 * T1^-1)^2, T2 * T1^-1 * T2^-1 * T1 * T2^-1 * T1^-1 * T2 * T1^-1, T1^-1 * T2^-3 * T1^2 * T2^-1 * T1^-1, T2 * T1^-2 * T2 * T1 * T2^-2 * T1^-1, (T2^-1, T1^-1)^2, T2^8 ]
Map:: polytopal non-degenerate
	R = (1, 3, 10, 29, 59, 40, 16, 5)(2, 7, 20, 50, 64, 56, 24, 8)(4, 12, 33, 53, 63, 47, 28, 13)(6, 17, 42, 37, 57, 25, 46, 18)(9, 26, 15, 39, 43, 62, 44, 27)(11, 30, 14, 38, 41, 61, 45, 31)(19, 48, 23, 55, 34, 60, 35, 49)(21, 51, 22, 54, 32, 58, 36, 52)(65, 66, 70, 68)(67, 73, 89, 75)(69, 78, 101, 79)(71, 83, 111, 85)(72, 86, 117, 87)(74, 92, 106, 88)(76, 96, 120, 98)(77, 99, 114, 100)(80, 97, 110, 84)(81, 105, 104, 107)(82, 108, 93, 109)(90, 122, 125, 112)(91, 119, 102, 116)(94, 124, 126, 115)(95, 118, 103, 113)(121, 127, 123, 128)
	L = (1, 65)(2, 66)(3, 67)(4, 68)(5, 69)(6, 70)(7, 71)(8, 72)(9, 73)(10, 74)(11, 75)(12, 76)(13, 77)(14, 78)(15, 79)(16, 80)(17, 81)(18, 82)(19, 83)(20, 84)(21, 85)(22, 86)(23, 87)(24, 88)(25, 89)(26, 90)(27, 91)(28, 92)(29, 93)(30, 94)(31, 95)(32, 96)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 8^4 ), ( 8^8 ) }
Outer automorphisms :: reflexible
Dual of E13.1104
Transitivity :: ET+
Graph:: simple bipartite
	v = 24 e = 64 f = 16
	degree seq :: [ 4^16, 8^8 ]

E13.1099 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {4, 4, 8})
Quotient :: edge
Aut^+ = ((C8 : C2) : C2) : C2 (small group id <64, 32>)
Aut   = $<128, 928>$ (small group id <128, 928>)
|r| :: 2
Presentation :: [ F^2, (T2^-1 * T1)^2, (F * T2)^2, (F * T1)^2, T1^4, (T2^2 * T1^-2)^2, (T2^-1 * T1^-1 * T2^-2)^2, T2^8, (T2^-1 * T1^-1)^4 ]
Map:: polytopal non-degenerate
	R = (1, 3, 10, 24, 50, 32, 14, 5)(2, 7, 18, 40, 61, 44, 20, 8)(4, 11, 26, 52, 63, 49, 28, 12)(6, 15, 34, 55, 64, 57, 36, 16)(9, 21, 46, 31, 53, 56, 35, 22)(13, 29, 33, 54, 48, 23, 47, 30)(17, 37, 58, 43, 62, 45, 27, 38)(19, 41, 25, 51, 60, 39, 59, 42)(65, 66, 70, 68)(67, 73, 83, 72)(69, 75, 89, 77)(71, 81, 99, 80)(74, 87, 100, 86)(76, 79, 97, 91)(78, 93, 98, 95)(82, 103, 92, 102)(84, 105, 90, 107)(85, 109, 118, 106)(88, 113, 123, 112)(94, 115, 120, 101)(96, 117, 124, 104)(108, 126, 110, 119)(111, 122, 116, 121)(114, 125, 128, 127)
	L = (1, 65)(2, 66)(3, 67)(4, 68)(5, 69)(6, 70)(7, 71)(8, 72)(9, 73)(10, 74)(11, 75)(12, 76)(13, 77)(14, 78)(15, 79)(16, 80)(17, 81)(18, 82)(19, 83)(20, 84)(21, 85)(22, 86)(23, 87)(24, 88)(25, 89)(26, 90)(27, 91)(28, 92)(29, 93)(30, 94)(31, 95)(32, 96)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 8^4 ), ( 8^8 ) }
Outer automorphisms :: reflexible
Dual of E13.1105
Transitivity :: ET+
Graph:: simple bipartite
	v = 24 e = 64 f = 16
	degree seq :: [ 4^16, 8^8 ]

E13.1100 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {4, 4, 8})
Quotient :: edge
Aut^+ = (C4 x C2 x C2) : C4 (small group id <64, 33>)
Aut   = $<128, 932>$ (small group id <128, 932>)
|r| :: 2
Presentation :: [ F^2, T1^4, T1^4, (F * T2)^2, (F * T1)^2, T1 * T2 * T1^2 * T2^-1 * T1, T2^4 * T1^-2, T2 * T1 * T2 * T1 * T2 * T1^-1 * T2 * T1^-1, T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1^-1 * T2^-1 * T1^-1, (T2 * T1^-1 * T2^-1 * T1^-1)^2 ]
Map:: polytopal 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, 46, 26)(14, 31, 51, 34, 15, 33, 52, 32)(19, 35, 53, 40, 21, 39, 54, 36)(22, 41, 59, 44, 23, 43, 60, 42)(27, 47, 61, 50, 28, 49, 62, 48)(37, 55, 63, 58, 38, 57, 64, 56)(65, 66, 70, 68)(67, 73, 81, 75)(69, 78, 82, 79)(71, 83, 76, 85)(72, 86, 77, 87)(74, 91, 80, 92)(84, 101, 88, 102)(89, 106, 93, 108)(90, 100, 94, 104)(95, 105, 97, 107)(96, 99, 98, 103)(109, 121, 110, 119)(111, 118, 113, 117)(112, 124, 114, 123)(115, 122, 116, 120)(125, 127, 126, 128)
	L = (1, 65)(2, 66)(3, 67)(4, 68)(5, 69)(6, 70)(7, 71)(8, 72)(9, 73)(10, 74)(11, 75)(12, 76)(13, 77)(14, 78)(15, 79)(16, 80)(17, 81)(18, 82)(19, 83)(20, 84)(21, 85)(22, 86)(23, 87)(24, 88)(25, 89)(26, 90)(27, 91)(28, 92)(29, 93)(30, 94)(31, 95)(32, 96)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 8^4 ), ( 8^8 ) }
Outer automorphisms :: reflexible
Dual of E13.1106
Transitivity :: ET+
Graph:: bipartite
	v = 24 e = 64 f = 16
	degree seq :: [ 4^16, 8^8 ]

E13.1101 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {4, 4, 8})
Quotient :: edge
Aut^+ = (C4 x C2 x C2) : C4 (small group id <64, 33>)
Aut   = $<128, 932>$ (small group id <128, 932>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, T1^4, T2^-1 * T1^-1 * T2^2 * T1^-1 * T2^-1, T2^2 * T1 * T2^-2 * T1, T1^-1 * T2 * T1^-2 * T2^3 * T1^-1, (T2^-1 * T1^-1 * T2 * T1^-1)^2, (T2^-1 * T1^-1)^4, (T2 * T1 * T2 * T1^-1)^2, (T2 * T1^-1)^4, T2^8 ]
Map:: polytopal non-degenerate
	R = (1, 3, 10, 29, 59, 40, 16, 5)(2, 7, 20, 50, 64, 56, 24, 8)(4, 12, 28, 53, 63, 47, 36, 13)(6, 17, 42, 37, 57, 25, 46, 18)(9, 26, 44, 62, 43, 39, 15, 27)(11, 30, 45, 61, 41, 38, 14, 31)(19, 48, 34, 58, 33, 55, 23, 49)(21, 51, 35, 60, 32, 54, 22, 52)(65, 66, 70, 68)(67, 73, 89, 75)(69, 78, 101, 79)(71, 83, 111, 85)(72, 86, 117, 87)(74, 92, 106, 84)(76, 96, 120, 97)(77, 98, 114, 99)(80, 100, 110, 88)(81, 105, 104, 107)(82, 108, 93, 109)(90, 115, 102, 119)(91, 122, 125, 116)(94, 112, 103, 118)(95, 124, 126, 113)(121, 127, 123, 128)
	L = (1, 65)(2, 66)(3, 67)(4, 68)(5, 69)(6, 70)(7, 71)(8, 72)(9, 73)(10, 74)(11, 75)(12, 76)(13, 77)(14, 78)(15, 79)(16, 80)(17, 81)(18, 82)(19, 83)(20, 84)(21, 85)(22, 86)(23, 87)(24, 88)(25, 89)(26, 90)(27, 91)(28, 92)(29, 93)(30, 94)(31, 95)(32, 96)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 8^4 ), ( 8^8 ) }
Outer automorphisms :: reflexible
Dual of E13.1107
Transitivity :: ET+
Graph:: simple bipartite
	v = 24 e = 64 f = 16
	degree seq :: [ 4^16, 8^8 ]

E13.1102 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {4, 4, 8})
Quotient :: edge
Aut^+ = (C4 x C2 x C2) : C4 (small group id <64, 33>)
Aut   = $<128, 932>$ (small group id <128, 932>)
|r| :: 2
Presentation :: [ F^2, T1^4, (F * T2)^2, (F * T1)^2, T2^-1 * T1 * T2^3 * T1, T2 * T1^-1 * T2^5 * T1^-1, T2^2 * T1^-1 * T2^-1 * T1^2 * T2^-1 * T1^-1, (T1^-2 * T2^2)^2, (T2 * T1 * T2 * T1^-1)^2, (T2^-1 * T1^-1)^4 ]
Map:: polytopal non-degenerate
	R = (1, 3, 10, 29, 54, 22, 16, 5)(2, 7, 20, 11, 31, 44, 24, 8)(4, 12, 33, 43, 38, 14, 36, 13)(6, 17, 42, 21, 52, 34, 46, 18)(9, 26, 47, 30, 53, 64, 45, 27)(15, 28, 41, 62, 59, 40, 60, 39)(19, 48, 61, 51, 63, 58, 35, 49)(23, 50, 32, 57, 25, 56, 37, 55)(65, 66, 70, 68)(67, 73, 89, 75)(69, 78, 101, 79)(71, 83, 111, 85)(72, 86, 117, 87)(74, 92, 110, 94)(76, 96, 123, 93)(77, 98, 124, 99)(80, 104, 106, 91)(81, 105, 125, 107)(82, 108, 127, 109)(84, 114, 100, 115)(88, 120, 97, 113)(90, 122, 126, 119)(95, 116, 102, 118)(103, 121, 128, 112)
	L = (1, 65)(2, 66)(3, 67)(4, 68)(5, 69)(6, 70)(7, 71)(8, 72)(9, 73)(10, 74)(11, 75)(12, 76)(13, 77)(14, 78)(15, 79)(16, 80)(17, 81)(18, 82)(19, 83)(20, 84)(21, 85)(22, 86)(23, 87)(24, 88)(25, 89)(26, 90)(27, 91)(28, 92)(29, 93)(30, 94)(31, 95)(32, 96)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 8^4 ), ( 8^8 ) }
Outer automorphisms :: reflexible
Dual of E13.1109
Transitivity :: ET+
Graph:: simple bipartite
	v = 24 e = 64 f = 16
	degree seq :: [ 4^16, 8^8 ]

E13.1103 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {4, 4, 8})
Quotient :: edge
Aut^+ = (C4 x C2 x C2) : C4 (small group id <64, 33>)
Aut   = $<128, 932>$ (small group id <128, 932>)
|r| :: 2
Presentation :: [ F^2, T1^4, (F * T2)^2, (F * T1)^2, T1^-1 * T2^3 * T1^-1 * T2^-1, T2 * T1 * T2^-3 * T1, (T1^-1 * T2^2 * T1^-1)^2, T2^8, T2 * T1^-2 * T2^-2 * T1 * T2^-1 * T1^-1, T1 * T2 * T1^2 * T2 * T1 * T2^2, (T2 * T1^-1)^4 ]
Map:: non-degenerate
	R = (1, 3, 10, 19, 48, 35, 16, 5)(2, 7, 20, 41, 39, 15, 24, 8)(4, 12, 27, 9, 26, 45, 36, 13)(6, 17, 42, 32, 55, 23, 46, 18)(11, 30, 58, 28, 57, 64, 44, 31)(14, 29, 43, 62, 47, 40, 53, 38)(21, 51, 25, 49, 37, 59, 34, 52)(22, 50, 33, 60, 61, 56, 63, 54)(65, 66, 70, 68)(67, 73, 89, 75)(69, 78, 101, 79)(71, 83, 111, 85)(72, 86, 117, 87)(74, 92, 110, 93)(76, 96, 122, 97)(77, 98, 121, 99)(80, 95, 106, 104)(81, 105, 125, 107)(82, 108, 127, 109)(84, 113, 100, 114)(88, 116, 91, 120)(90, 112, 103, 119)(94, 123, 126, 118)(102, 124, 128, 115)
	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) :: { ( 8^4 ), ( 8^8 ) }
Outer automorphisms :: reflexible
Dual of E13.1108
Transitivity :: ET+
Graph:: simple bipartite
	v = 24 e = 64 f = 16
	degree seq :: [ 4^16, 8^8 ]

E13.1104 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {4, 4, 8})
Quotient :: loop
Aut^+ = ((C8 : C2) : C2) : C2 (small group id <64, 32>)
Aut   = $<128, 928>$ (small group id <128, 928>)
|r| :: 2
Presentation :: [ F^2, T2^4, (F * T1)^2, (F * T2)^2, T1^4, T2^4, (T2 * T1 * T2)^2, (T1^-1 * T2^2)^2, (T2^-1, T1^-1)^2, (T2 * T1^-1 * T2^-1 * T1^-1)^2, T1^-2 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-2 * T2 ]
Map:: polytopal non-degenerate
	R = (1, 65, 3, 67, 10, 74, 5, 69)(2, 66, 7, 71, 19, 83, 8, 72)(4, 68, 12, 76, 26, 90, 13, 77)(6, 70, 16, 80, 35, 99, 17, 81)(9, 73, 24, 88, 15, 79, 25, 89)(11, 75, 27, 91, 14, 78, 28, 92)(18, 82, 40, 104, 22, 86, 41, 105)(20, 84, 42, 106, 21, 85, 43, 107)(23, 87, 45, 109, 33, 97, 46, 110)(29, 93, 49, 113, 32, 96, 50, 114)(30, 94, 47, 111, 31, 95, 48, 112)(34, 98, 54, 118, 38, 102, 55, 119)(36, 100, 56, 120, 37, 101, 57, 121)(39, 103, 59, 123, 44, 108, 60, 124)(51, 115, 61, 125, 52, 116, 62, 126)(53, 117, 63, 127, 58, 122, 64, 128)
	L = (1, 66)(2, 70)(3, 73)(4, 65)(5, 78)(6, 68)(7, 82)(8, 85)(9, 87)(10, 90)(11, 67)(12, 93)(13, 95)(14, 97)(15, 69)(16, 98)(17, 101)(18, 103)(19, 74)(20, 71)(21, 108)(22, 72)(23, 75)(24, 106)(25, 112)(26, 99)(27, 104)(28, 114)(29, 115)(30, 76)(31, 116)(32, 77)(33, 79)(34, 117)(35, 83)(36, 80)(37, 122)(38, 81)(39, 84)(40, 120)(41, 92)(42, 118)(43, 89)(44, 86)(45, 125)(46, 124)(47, 88)(48, 119)(49, 91)(50, 121)(51, 94)(52, 96)(53, 100)(54, 111)(55, 107)(56, 113)(57, 105)(58, 102)(59, 109)(60, 128)(61, 127)(62, 110)(63, 123)(64, 126)
	local type(s) :: { ( 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E13.1098
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 16 e = 64 f = 24
	degree seq :: [ 8^16 ]

E13.1105 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {4, 4, 8})
Quotient :: loop
Aut^+ = ((C8 : C2) : C2) : C2 (small group id <64, 32>)
Aut   = $<128, 928>$ (small group id <128, 928>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, T1^4, T2^4, (T1 * T2^-1 * T1)^2, (T2^-1 * T1^-2)^2, T2 * T1^-1 * T2 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1, T2 * T1 * T2^-2 * T1 * T2 * T1^-1 * T2^-2 * T1^-1, (T2^-1 * T1 * T2^-2 * T1^-1 * T2^-1)^2 ]
Map:: polytopal non-degenerate
	R = (1, 65, 3, 67, 10, 74, 5, 69)(2, 66, 7, 71, 19, 83, 8, 72)(4, 68, 12, 76, 29, 93, 13, 77)(6, 70, 16, 80, 34, 98, 17, 81)(9, 73, 23, 87, 45, 109, 24, 88)(11, 75, 27, 91, 50, 114, 28, 92)(14, 78, 30, 94, 51, 115, 31, 95)(15, 79, 32, 96, 52, 116, 33, 97)(18, 82, 35, 99, 53, 117, 36, 100)(20, 84, 39, 103, 58, 122, 40, 104)(21, 85, 41, 105, 59, 123, 42, 106)(22, 86, 43, 107, 60, 124, 44, 108)(25, 89, 46, 110, 61, 125, 47, 111)(26, 90, 48, 112, 62, 126, 49, 113)(37, 101, 54, 118, 63, 127, 55, 119)(38, 102, 56, 120, 64, 128, 57, 121)
	L = (1, 66)(2, 70)(3, 73)(4, 65)(5, 78)(6, 68)(7, 82)(8, 85)(9, 81)(10, 89)(11, 67)(12, 86)(13, 84)(14, 80)(15, 69)(16, 79)(17, 75)(18, 77)(19, 101)(20, 71)(21, 76)(22, 72)(23, 105)(24, 99)(25, 98)(26, 74)(27, 104)(28, 108)(29, 102)(30, 106)(31, 100)(32, 103)(33, 107)(34, 90)(35, 91)(36, 96)(37, 93)(38, 83)(39, 95)(40, 88)(41, 92)(42, 97)(43, 94)(44, 87)(45, 119)(46, 117)(47, 123)(48, 124)(49, 122)(50, 120)(51, 118)(52, 121)(53, 113)(54, 116)(55, 114)(56, 109)(57, 115)(58, 110)(59, 112)(60, 111)(61, 127)(62, 128)(63, 126)(64, 125)
	local type(s) :: { ( 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E13.1099
Transitivity :: ET+ VT+ AT
Graph:: simple bipartite
	v = 16 e = 64 f = 24
	degree seq :: [ 8^16 ]

E13.1106 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {4, 4, 8})
Quotient :: loop
Aut^+ = (C4 x C2 x C2) : C4 (small group id <64, 33>)
Aut   = $<128, 932>$ (small group id <128, 932>)
|r| :: 2
Presentation :: [ F^2, T1^4, (F * T2)^2, T2^4, (F * T1)^2, T1 * T2^-1 * T1^2 * T2 * T1, T2 * T1^-1 * T2 * T1^-1 * T2 * T1 * T2 * T1^-1, (T2 * T1^-1 * T2^-1 * T1^-1)^2, T2 * T1 * T2^-2 * T1^-1 * T2^-1 * T1^-1 * T2^-2 * T1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 65, 3, 67, 10, 74, 5, 69)(2, 66, 7, 71, 19, 83, 8, 72)(4, 68, 12, 76, 29, 93, 13, 77)(6, 70, 16, 80, 34, 98, 17, 81)(9, 73, 23, 87, 45, 109, 24, 88)(11, 75, 27, 91, 50, 114, 28, 92)(14, 78, 30, 94, 51, 115, 31, 95)(15, 79, 32, 96, 52, 116, 33, 97)(18, 82, 35, 99, 53, 117, 36, 100)(20, 84, 39, 103, 58, 122, 40, 104)(21, 85, 41, 105, 59, 123, 42, 106)(22, 86, 43, 107, 60, 124, 44, 108)(25, 89, 46, 110, 61, 125, 47, 111)(26, 90, 48, 112, 62, 126, 49, 113)(37, 101, 54, 118, 63, 127, 55, 119)(38, 102, 56, 120, 64, 128, 57, 121)
	L = (1, 66)(2, 70)(3, 73)(4, 65)(5, 78)(6, 68)(7, 82)(8, 85)(9, 80)(10, 89)(11, 67)(12, 84)(13, 86)(14, 81)(15, 69)(16, 75)(17, 79)(18, 76)(19, 101)(20, 71)(21, 77)(22, 72)(23, 108)(24, 100)(25, 98)(26, 74)(27, 106)(28, 104)(29, 102)(30, 105)(31, 103)(32, 107)(33, 99)(34, 90)(35, 95)(36, 92)(37, 93)(38, 83)(39, 97)(40, 88)(41, 96)(42, 87)(43, 94)(44, 91)(45, 120)(46, 122)(47, 124)(48, 117)(49, 123)(50, 118)(51, 121)(52, 119)(53, 110)(54, 109)(55, 115)(56, 114)(57, 116)(58, 112)(59, 111)(60, 113)(61, 127)(62, 128)(63, 126)(64, 125)
	local type(s) :: { ( 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E13.1100
Transitivity :: ET+ VT+ AT
Graph:: simple bipartite
	v = 16 e = 64 f = 24
	degree seq :: [ 8^16 ]

E13.1107 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {4, 4, 8})
Quotient :: loop
Aut^+ = (C4 x C2 x C2) : C4 (small group id <64, 33>)
Aut   = $<128, 932>$ (small group id <128, 932>)
|r| :: 2
Presentation :: [ F^2, T2^4, T1^4, (F * T1)^2, (F * T2)^2, T2 * T1 * T2^-2 * T1^-1 * T2 * T1^-2, (T2^-1, T1^-1)^2, T2^2 * T1 * T2^-1 * T1^-2 * T2^-1 * T1^-1, T2 * T1 * T2 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1, T2 * T1^-1 * T2^-1 * T1 * T2^-1 * T1^-1 * T2 * T1^-1, T2^-1 * T1 * T2^-2 * T1^-1 * T2^-1 * T1^-2 ]
Map:: polytopal non-degenerate
	R = (1, 65, 3, 67, 10, 74, 5, 69)(2, 66, 7, 71, 19, 83, 8, 72)(4, 68, 12, 76, 31, 95, 13, 77)(6, 70, 16, 80, 41, 105, 17, 81)(9, 73, 24, 88, 43, 107, 25, 89)(11, 75, 28, 92, 44, 108, 29, 93)(14, 78, 36, 100, 40, 104, 37, 101)(15, 79, 38, 102, 42, 106, 39, 103)(18, 82, 46, 110, 33, 97, 47, 111)(20, 84, 50, 114, 34, 98, 51, 115)(21, 85, 53, 117, 30, 94, 54, 118)(22, 86, 55, 119, 32, 96, 56, 120)(23, 87, 49, 113, 35, 99, 57, 121)(26, 90, 52, 116, 62, 126, 45, 109)(27, 91, 58, 122, 63, 127, 59, 123)(48, 112, 61, 125, 64, 128, 60, 124)
	L = (1, 66)(2, 70)(3, 73)(4, 65)(5, 78)(6, 68)(7, 82)(8, 85)(9, 87)(10, 90)(11, 67)(12, 94)(13, 97)(14, 99)(15, 69)(16, 104)(17, 107)(18, 109)(19, 112)(20, 71)(21, 116)(22, 72)(23, 75)(24, 118)(25, 119)(26, 105)(27, 74)(28, 120)(29, 117)(30, 123)(31, 113)(32, 76)(33, 122)(34, 77)(35, 79)(36, 115)(37, 110)(38, 111)(39, 114)(40, 124)(41, 91)(42, 80)(43, 125)(44, 81)(45, 84)(46, 88)(47, 93)(48, 95)(49, 83)(50, 92)(51, 89)(52, 86)(53, 102)(54, 101)(55, 100)(56, 103)(57, 126)(58, 98)(59, 96)(60, 106)(61, 108)(62, 128)(63, 121)(64, 127)
	local type(s) :: { ( 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E13.1101
Transitivity :: ET+ VT+ AT
Graph:: simple bipartite
	v = 16 e = 64 f = 24
	degree seq :: [ 8^16 ]

E13.1108 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {4, 4, 8})
Quotient :: loop
Aut^+ = (C4 x C2 x C2) : C4 (small group id <64, 33>)
Aut   = $<128, 932>$ (small group id <128, 932>)
|r| :: 2
Presentation :: [ F^2, T2^4, (F * T1)^2, (F * T2)^2, T1^4, T2 * T1 * T2^2 * T1^-1 * T2, (T2^-1 * T1 * T2^-1 * T1^-1)^2, T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2 * T1^-1 * T2^-1 ]
Map:: non-degenerate
	R = (1, 65, 3, 67, 10, 74, 5, 69)(2, 66, 7, 71, 19, 83, 8, 72)(4, 68, 12, 76, 26, 90, 13, 77)(6, 70, 16, 80, 35, 99, 17, 81)(9, 73, 24, 88, 14, 78, 25, 89)(11, 75, 27, 91, 15, 79, 28, 92)(18, 82, 40, 104, 21, 85, 41, 105)(20, 84, 42, 106, 22, 86, 43, 107)(23, 87, 45, 109, 33, 97, 46, 110)(29, 93, 49, 113, 31, 95, 50, 114)(30, 94, 48, 112, 32, 96, 47, 111)(34, 98, 54, 118, 37, 101, 55, 119)(36, 100, 56, 120, 38, 102, 57, 121)(39, 103, 59, 123, 44, 108, 60, 124)(51, 115, 62, 126, 52, 116, 61, 125)(53, 117, 63, 127, 58, 122, 64, 128)
	L = (1, 66)(2, 70)(3, 73)(4, 65)(5, 78)(6, 68)(7, 82)(8, 85)(9, 87)(10, 83)(11, 67)(12, 93)(13, 95)(14, 97)(15, 69)(16, 98)(17, 101)(18, 103)(19, 99)(20, 71)(21, 108)(22, 72)(23, 75)(24, 111)(25, 112)(26, 74)(27, 113)(28, 114)(29, 115)(30, 76)(31, 116)(32, 77)(33, 79)(34, 117)(35, 90)(36, 80)(37, 122)(38, 81)(39, 84)(40, 92)(41, 91)(42, 88)(43, 89)(44, 86)(45, 124)(46, 123)(47, 119)(48, 118)(49, 121)(50, 120)(51, 94)(52, 96)(53, 100)(54, 107)(55, 106)(56, 104)(57, 105)(58, 102)(59, 128)(60, 127)(61, 109)(62, 110)(63, 125)(64, 126)
	local type(s) :: { ( 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E13.1103
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 16 e = 64 f = 24
	degree seq :: [ 8^16 ]

E13.1109 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {4, 4, 8})
Quotient :: loop
Aut^+ = (C4 x C2 x C2) : C4 (small group id <64, 33>)
Aut   = $<128, 932>$ (small group id <128, 932>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, T1^4, T2^4, T2 * T1 * T2^-2 * T1 * T2^-1 * T1^-2, T2 * T1^-2 * T2^-1 * T1^-1 * T2^-2 * T1^-1, T2 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2 * T1^-1, T2^-2 * T1^2 * T2^-2 * T1^-2, T2 * T1^-1 * T2 * T1 * T2^-1 * T1 * T2 * T1^-1, T2^2 * T1^-1 * T2 * T1^2 * T2^-1 * T1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 65, 3, 67, 10, 74, 5, 69)(2, 66, 7, 71, 19, 83, 8, 72)(4, 68, 12, 76, 31, 95, 13, 77)(6, 70, 16, 80, 41, 105, 17, 81)(9, 73, 24, 88, 42, 106, 25, 89)(11, 75, 28, 92, 40, 104, 29, 93)(14, 78, 36, 100, 44, 108, 37, 101)(15, 79, 38, 102, 43, 107, 39, 103)(18, 82, 46, 110, 32, 96, 47, 111)(20, 84, 50, 114, 30, 94, 51, 115)(21, 85, 53, 117, 34, 98, 54, 118)(22, 86, 55, 119, 33, 97, 56, 120)(23, 87, 57, 121, 35, 99, 48, 112)(26, 90, 58, 122, 63, 127, 59, 123)(27, 91, 45, 109, 62, 126, 52, 116)(49, 113, 60, 124, 64, 128, 61, 125)
	L = (1, 66)(2, 70)(3, 73)(4, 65)(5, 78)(6, 68)(7, 82)(8, 85)(9, 87)(10, 90)(11, 67)(12, 94)(13, 97)(14, 99)(15, 69)(16, 104)(17, 107)(18, 109)(19, 112)(20, 71)(21, 116)(22, 72)(23, 75)(24, 111)(25, 118)(26, 105)(27, 74)(28, 119)(29, 114)(30, 122)(31, 113)(32, 76)(33, 123)(34, 77)(35, 79)(36, 110)(37, 117)(38, 120)(39, 115)(40, 124)(41, 91)(42, 80)(43, 125)(44, 81)(45, 84)(46, 92)(47, 102)(48, 95)(49, 83)(50, 101)(51, 89)(52, 86)(53, 93)(54, 103)(55, 100)(56, 88)(57, 126)(58, 96)(59, 98)(60, 106)(61, 108)(62, 128)(63, 121)(64, 127)
	local type(s) :: { ( 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E13.1102
Transitivity :: ET+ VT+ AT
Graph:: simple bipartite
	v = 16 e = 64 f = 24
	degree seq :: [ 8^16 ]

E13.1110 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {4, 4, 8})
Quotient :: loop
Aut^+ = ((C8 : C2) : C2) : C2 (small group id <64, 32>)
Aut   = $<128, 928>$ (small group id <128, 928>)
|r| :: 2
Presentation :: [ F^2, T1^4, (F * T2)^2, (F * T1)^2, (T2^2 * T1^-1)^2, (T2^-2 * T1^-1)^2, T2 * T1^-1 * T2^-1 * T1 * T2^-1 * T1^-1 * T2 * T1^-1, T1^-1 * T2^-3 * T1^2 * T2^-1 * T1^-1, T2 * T1^-2 * T2 * T1 * T2^-2 * T1^-1, (T2^-1, T1^-1)^2, T2^8 ]
Map:: polytopal non-degenerate
	R = (1, 65, 3, 67, 10, 74, 29, 93, 59, 123, 40, 104, 16, 80, 5, 69)(2, 66, 7, 71, 20, 84, 50, 114, 64, 128, 56, 120, 24, 88, 8, 72)(4, 68, 12, 76, 33, 97, 53, 117, 63, 127, 47, 111, 28, 92, 13, 77)(6, 70, 17, 81, 42, 106, 37, 101, 57, 121, 25, 89, 46, 110, 18, 82)(9, 73, 26, 90, 15, 79, 39, 103, 43, 107, 62, 126, 44, 108, 27, 91)(11, 75, 30, 94, 14, 78, 38, 102, 41, 105, 61, 125, 45, 109, 31, 95)(19, 83, 48, 112, 23, 87, 55, 119, 34, 98, 60, 124, 35, 99, 49, 113)(21, 85, 51, 115, 22, 86, 54, 118, 32, 96, 58, 122, 36, 100, 52, 116)
	L = (1, 66)(2, 70)(3, 73)(4, 65)(5, 78)(6, 68)(7, 83)(8, 86)(9, 89)(10, 92)(11, 67)(12, 96)(13, 99)(14, 101)(15, 69)(16, 97)(17, 105)(18, 108)(19, 111)(20, 80)(21, 71)(22, 117)(23, 72)(24, 74)(25, 75)(26, 122)(27, 119)(28, 106)(29, 109)(30, 124)(31, 118)(32, 120)(33, 110)(34, 76)(35, 114)(36, 77)(37, 79)(38, 116)(39, 113)(40, 107)(41, 104)(42, 88)(43, 81)(44, 93)(45, 82)(46, 84)(47, 85)(48, 90)(49, 95)(50, 100)(51, 94)(52, 91)(53, 87)(54, 103)(55, 102)(56, 98)(57, 127)(58, 125)(59, 128)(60, 126)(61, 112)(62, 115)(63, 123)(64, 121)
	local type(s) :: { ( 4^16 ) }
Outer automorphisms :: reflexible
Dual of E13.1095
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 8 e = 64 f = 32
	degree seq :: [ 16^8 ]

E13.1111 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {4, 4, 8})
Quotient :: loop
Aut^+ = (C4 x C2 x C2) : C4 (small group id <64, 33>)
Aut   = $<128, 932>$ (small group id <128, 932>)
|r| :: 2
Presentation :: [ F^2, T1^4, T1^4, (F * T2)^2, (F * T1)^2, T1 * T2 * T1^2 * T2^-1 * T1, T2^4 * T1^-2, T2 * T1 * T2 * T1 * T2 * T1^-1 * T2 * T1^-1, T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1^-1 * T2^-1 * T1^-1, (T2 * T1^-1 * T2^-1 * T1^-1)^2 ]
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, 45, 109, 30, 94, 11, 75, 29, 93, 46, 110, 26, 90)(14, 78, 31, 95, 51, 115, 34, 98, 15, 79, 33, 97, 52, 116, 32, 96)(19, 83, 35, 99, 53, 117, 40, 104, 21, 85, 39, 103, 54, 118, 36, 100)(22, 86, 41, 105, 59, 123, 44, 108, 23, 87, 43, 107, 60, 124, 42, 106)(27, 91, 47, 111, 61, 125, 50, 114, 28, 92, 49, 113, 62, 126, 48, 112)(37, 101, 55, 119, 63, 127, 58, 122, 38, 102, 57, 121, 64, 128, 56, 120)
	L = (1, 66)(2, 70)(3, 73)(4, 65)(5, 78)(6, 68)(7, 83)(8, 86)(9, 81)(10, 91)(11, 67)(12, 85)(13, 87)(14, 82)(15, 69)(16, 92)(17, 75)(18, 79)(19, 76)(20, 101)(21, 71)(22, 77)(23, 72)(24, 102)(25, 106)(26, 100)(27, 80)(28, 74)(29, 108)(30, 104)(31, 105)(32, 99)(33, 107)(34, 103)(35, 98)(36, 94)(37, 88)(38, 84)(39, 96)(40, 90)(41, 97)(42, 93)(43, 95)(44, 89)(45, 121)(46, 119)(47, 118)(48, 124)(49, 117)(50, 123)(51, 122)(52, 120)(53, 111)(54, 113)(55, 109)(56, 115)(57, 110)(58, 116)(59, 112)(60, 114)(61, 127)(62, 128)(63, 126)(64, 125)
	local type(s) :: { ( 4^16 ) }
Outer automorphisms :: reflexible
Dual of E13.1096
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 8 e = 64 f = 32
	degree seq :: [ 16^8 ]

E13.1112 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {4, 4, 8})
Quotient :: loop
Aut^+ = (C4 x C2 x C2) : C4 (small group id <64, 33>)
Aut   = $<128, 932>$ (small group id <128, 932>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, T1^4, T2^-1 * T1^-1 * T2^2 * T1^-1 * T2^-1, T2^2 * T1 * T2^-2 * T1, T1^-1 * T2 * T1^-2 * T2^3 * T1^-1, (T2^-1 * T1^-1 * T2 * T1^-1)^2, (T2^-1 * T1^-1)^4, (T2 * T1 * T2 * T1^-1)^2, (T2 * T1^-1)^4, T2^8 ]
Map:: polytopal non-degenerate
	R = (1, 65, 3, 67, 10, 74, 29, 93, 59, 123, 40, 104, 16, 80, 5, 69)(2, 66, 7, 71, 20, 84, 50, 114, 64, 128, 56, 120, 24, 88, 8, 72)(4, 68, 12, 76, 28, 92, 53, 117, 63, 127, 47, 111, 36, 100, 13, 77)(6, 70, 17, 81, 42, 106, 37, 101, 57, 121, 25, 89, 46, 110, 18, 82)(9, 73, 26, 90, 44, 108, 62, 126, 43, 107, 39, 103, 15, 79, 27, 91)(11, 75, 30, 94, 45, 109, 61, 125, 41, 105, 38, 102, 14, 78, 31, 95)(19, 83, 48, 112, 34, 98, 58, 122, 33, 97, 55, 119, 23, 87, 49, 113)(21, 85, 51, 115, 35, 99, 60, 124, 32, 96, 54, 118, 22, 86, 52, 116)
	L = (1, 66)(2, 70)(3, 73)(4, 65)(5, 78)(6, 68)(7, 83)(8, 86)(9, 89)(10, 92)(11, 67)(12, 96)(13, 98)(14, 101)(15, 69)(16, 100)(17, 105)(18, 108)(19, 111)(20, 74)(21, 71)(22, 117)(23, 72)(24, 80)(25, 75)(26, 115)(27, 122)(28, 106)(29, 109)(30, 112)(31, 124)(32, 120)(33, 76)(34, 114)(35, 77)(36, 110)(37, 79)(38, 119)(39, 118)(40, 107)(41, 104)(42, 84)(43, 81)(44, 93)(45, 82)(46, 88)(47, 85)(48, 103)(49, 95)(50, 99)(51, 102)(52, 91)(53, 87)(54, 94)(55, 90)(56, 97)(57, 127)(58, 125)(59, 128)(60, 126)(61, 116)(62, 113)(63, 123)(64, 121)
	local type(s) :: { ( 4^16 ) }
Outer automorphisms :: reflexible
Dual of E13.1097
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 8 e = 64 f = 32
	degree seq :: [ 16^8 ]

E13.1113 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 8})
Quotient :: dipole
Aut^+ = ((C8 : C2) : C2) : C2 (small group id <64, 32>)
Aut   = $<128, 928>$ (small group id <128, 928>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1^-1, Y2^4, (R * Y1)^2, Y1^4, (R * Y3)^2, Y3 * Y2 * Y1 * Y3^-1 * Y2 * Y1^-1, (Y2^-1 * Y1^-2)^2, (R * Y2 * Y3^-1)^2, (Y2 * Y1^-2)^2, Y3 * Y2^-1 * Y1 * Y3^-1 * Y2^-1 * Y1^-1, Y2^-1 * Y3 * Y2^-1 * Y1 * Y2^-1 * Y3^-1 * Y2 * Y1^-1, Y2 * Y1^-1 * Y2 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1, (Y2^-1, Y1^-1)^2, Y2 * Y1 * Y2 * Y3 * Y2 * Y3^-1 * Y2 * Y1^-1, Y2 * Y3 * Y2 * Y1 * Y2 * Y3^-1 * Y2^-1 * Y1^-1, (Y3 * Y2^-1)^8 ]
Map::
	R = (1, 65, 2, 66, 6, 70, 4, 68)(3, 67, 9, 73, 17, 81, 11, 75)(5, 69, 14, 78, 16, 80, 15, 79)(7, 71, 18, 82, 13, 77, 20, 84)(8, 72, 21, 85, 12, 76, 22, 86)(10, 74, 25, 89, 34, 98, 26, 90)(19, 83, 37, 101, 29, 93, 38, 102)(23, 87, 41, 105, 28, 92, 44, 108)(24, 88, 35, 99, 27, 91, 40, 104)(30, 94, 42, 106, 33, 97, 43, 107)(31, 95, 36, 100, 32, 96, 39, 103)(45, 109, 55, 119, 50, 114, 56, 120)(46, 110, 53, 117, 49, 113, 58, 122)(47, 111, 59, 123, 48, 112, 60, 124)(51, 115, 54, 118, 52, 116, 57, 121)(61, 125, 63, 127, 62, 126, 64, 128)(129, 193, 131, 195, 138, 202, 133, 197)(130, 194, 135, 199, 147, 211, 136, 200)(132, 196, 140, 204, 157, 221, 141, 205)(134, 198, 144, 208, 162, 226, 145, 209)(137, 201, 151, 215, 173, 237, 152, 216)(139, 203, 155, 219, 178, 242, 156, 220)(142, 206, 158, 222, 179, 243, 159, 223)(143, 207, 160, 224, 180, 244, 161, 225)(146, 210, 163, 227, 181, 245, 164, 228)(148, 212, 167, 231, 186, 250, 168, 232)(149, 213, 169, 233, 187, 251, 170, 234)(150, 214, 171, 235, 188, 252, 172, 236)(153, 217, 174, 238, 189, 253, 175, 239)(154, 218, 176, 240, 190, 254, 177, 241)(165, 229, 182, 246, 191, 255, 183, 247)(166, 230, 184, 248, 192, 256, 185, 249)
	L = (1, 132)(2, 129)(3, 139)(4, 134)(5, 143)(6, 130)(7, 148)(8, 150)(9, 131)(10, 154)(11, 145)(12, 149)(13, 146)(14, 133)(15, 144)(16, 142)(17, 137)(18, 135)(19, 166)(20, 141)(21, 136)(22, 140)(23, 172)(24, 168)(25, 138)(26, 162)(27, 163)(28, 169)(29, 165)(30, 171)(31, 167)(32, 164)(33, 170)(34, 153)(35, 152)(36, 159)(37, 147)(38, 157)(39, 160)(40, 155)(41, 151)(42, 158)(43, 161)(44, 156)(45, 184)(46, 186)(47, 188)(48, 187)(49, 181)(50, 183)(51, 185)(52, 182)(53, 174)(54, 179)(55, 173)(56, 178)(57, 180)(58, 177)(59, 175)(60, 176)(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 ) }
Outer automorphisms :: reflexible
Dual of E13.1128
Graph:: bipartite
	v = 32 e = 128 f = 72
	degree seq :: [ 8^32 ]

E13.1114 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 8})
Quotient :: dipole
Aut^+ = (C4 x C2 x C2) : C4 (small group id <64, 33>)
Aut   = $<128, 932>$ (small group id <128, 932>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1^-1, Y2^4, (R * Y3)^2, (R * Y1)^2, Y1^4, Y3 * Y2^2 * Y1 * Y2^-2, (Y2^-1 * R * Y2^-1)^2, (R * Y2 * Y3^-1)^2, Y2 * Y3^-1 * Y2^2 * Y3 * Y2, Y2 * Y1 * Y2^2 * Y1^-1 * Y2, Y2 * Y1 * Y2^-1 * Y1 * Y2 * Y1 * Y2 * Y1, Y3 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2^-1, Y2^-1 * Y3 * Y2^-1 * Y3 * Y2 * Y1^-1 * Y2^-1 * Y1^-1, Y2^-1 * Y1 * Y2^-1 * Y3 * Y2^-1 * Y3^-1 * Y2^-1 * Y1^-1, Y3 * Y2^-1 * Y1 * Y2^-1 * Y1^-1 * Y2^-1 * Y3^-1 * Y2^-1 ]
Map::
	R = (1, 65, 2, 66, 6, 70, 4, 68)(3, 67, 9, 73, 23, 87, 11, 75)(5, 69, 14, 78, 33, 97, 15, 79)(7, 71, 18, 82, 39, 103, 20, 84)(8, 72, 21, 85, 44, 108, 22, 86)(10, 74, 19, 83, 35, 99, 26, 90)(12, 76, 29, 93, 51, 115, 30, 94)(13, 77, 31, 95, 52, 116, 32, 96)(16, 80, 34, 98, 53, 117, 36, 100)(17, 81, 37, 101, 58, 122, 38, 102)(24, 88, 47, 111, 55, 119, 42, 106)(25, 89, 48, 112, 54, 118, 43, 107)(27, 91, 49, 113, 57, 121, 41, 105)(28, 92, 50, 114, 56, 120, 40, 104)(45, 109, 60, 124, 63, 127, 61, 125)(46, 110, 59, 123, 64, 128, 62, 126)(129, 193, 131, 195, 138, 202, 133, 197)(130, 194, 135, 199, 147, 211, 136, 200)(132, 196, 140, 204, 154, 218, 141, 205)(134, 198, 144, 208, 163, 227, 145, 209)(137, 201, 152, 216, 142, 206, 153, 217)(139, 203, 155, 219, 143, 207, 156, 220)(146, 210, 168, 232, 149, 213, 169, 233)(148, 212, 170, 234, 150, 214, 171, 235)(151, 215, 173, 237, 161, 225, 174, 238)(157, 221, 177, 241, 159, 223, 178, 242)(158, 222, 176, 240, 160, 224, 175, 239)(162, 226, 182, 246, 165, 229, 183, 247)(164, 228, 184, 248, 166, 230, 185, 249)(167, 231, 187, 251, 172, 236, 188, 252)(179, 243, 190, 254, 180, 244, 189, 253)(181, 245, 191, 255, 186, 250, 192, 256)
	L = (1, 132)(2, 129)(3, 139)(4, 134)(5, 143)(6, 130)(7, 148)(8, 150)(9, 131)(10, 154)(11, 151)(12, 158)(13, 160)(14, 133)(15, 161)(16, 164)(17, 166)(18, 135)(19, 138)(20, 167)(21, 136)(22, 172)(23, 137)(24, 170)(25, 171)(26, 163)(27, 169)(28, 168)(29, 140)(30, 179)(31, 141)(32, 180)(33, 142)(34, 144)(35, 147)(36, 181)(37, 145)(38, 186)(39, 146)(40, 184)(41, 185)(42, 183)(43, 182)(44, 149)(45, 189)(46, 190)(47, 152)(48, 153)(49, 155)(50, 156)(51, 157)(52, 159)(53, 162)(54, 176)(55, 175)(56, 178)(57, 177)(58, 165)(59, 174)(60, 173)(61, 191)(62, 192)(63, 188)(64, 187)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 2, 16, 2, 16, 2, 16, 2, 16 ) }
Outer automorphisms :: reflexible
Dual of E13.1129
Graph:: bipartite
	v = 32 e = 128 f = 72
	degree seq :: [ 8^32 ]

E13.1115 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 8})
Quotient :: dipole
Aut^+ = (C4 x C2 x C2) : C4 (small group id <64, 33>)
Aut   = $<128, 932>$ (small group id <128, 932>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y3^-1, (R * Y3)^2, (R * Y1)^2, Y2^4, Y3^2 * Y1^-2, (R * Y2 * Y3^-1)^2, Y1^-1 * Y2^-1 * Y1 * Y2^2 * Y3^-1 * Y2 * Y1^-1, Y2 * Y1 * Y2^-1 * Y3^-1 * Y2 * Y1^-1 * Y2 * Y1^-1, Y2^-1 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2^-1 * Y1^-1, Y3 * Y2^-2 * Y1 * Y3^-1 * Y2^-2 * Y1^-1, Y2^-2 * Y1^2 * Y2^-2 * Y1^-2, Y1^-1 * Y2^-1 * Y1^-1 * Y2^2 * Y1^-1 * Y2 * Y1^-1, Y1^-1 * Y2 * Y1 * Y2^2 * Y3^-1 * Y2^-1 * Y1^-1, Y2 * Y1 * Y2 * Y3 * Y2 * Y3^-1 * Y2 * Y1^-1, Y2^-1 * Y1 * Y2 * Y1^-1 * Y2^-1 * Y3^-1 * Y2 * Y1^-1, Y1 * Y2^-1 * Y3 * Y2^-1 * Y1^-1 * Y2^-1 * Y1 * Y2, Y2^2 * Y1^-1 * Y2^-1 * Y1 * Y3^-1 * Y2 * Y1^-1, (Y3 * Y2^-1)^8 ]
Map::
	R = (1, 65, 2, 66, 6, 70, 4, 68)(3, 67, 9, 73, 23, 87, 11, 75)(5, 69, 14, 78, 35, 99, 15, 79)(7, 71, 18, 82, 45, 109, 20, 84)(8, 72, 21, 85, 52, 116, 22, 86)(10, 74, 26, 90, 41, 105, 27, 91)(12, 76, 30, 94, 58, 122, 32, 96)(13, 77, 33, 97, 59, 123, 34, 98)(16, 80, 40, 104, 60, 124, 42, 106)(17, 81, 43, 107, 61, 125, 44, 108)(19, 83, 48, 112, 31, 95, 49, 113)(24, 88, 47, 111, 38, 102, 56, 120)(25, 89, 54, 118, 39, 103, 51, 115)(28, 92, 55, 119, 36, 100, 46, 110)(29, 93, 50, 114, 37, 101, 53, 117)(57, 121, 62, 126, 64, 128, 63, 127)(129, 193, 131, 195, 138, 202, 133, 197)(130, 194, 135, 199, 147, 211, 136, 200)(132, 196, 140, 204, 159, 223, 141, 205)(134, 198, 144, 208, 169, 233, 145, 209)(137, 201, 152, 216, 170, 234, 153, 217)(139, 203, 156, 220, 168, 232, 157, 221)(142, 206, 164, 228, 172, 236, 165, 229)(143, 207, 166, 230, 171, 235, 167, 231)(146, 210, 174, 238, 160, 224, 175, 239)(148, 212, 178, 242, 158, 222, 179, 243)(149, 213, 181, 245, 162, 226, 182, 246)(150, 214, 183, 247, 161, 225, 184, 248)(151, 215, 185, 249, 163, 227, 176, 240)(154, 218, 186, 250, 191, 255, 187, 251)(155, 219, 173, 237, 190, 254, 180, 244)(177, 241, 188, 252, 192, 256, 189, 253)
	L = (1, 132)(2, 129)(3, 139)(4, 134)(5, 143)(6, 130)(7, 148)(8, 150)(9, 131)(10, 155)(11, 151)(12, 160)(13, 162)(14, 133)(15, 163)(16, 170)(17, 172)(18, 135)(19, 177)(20, 173)(21, 136)(22, 180)(23, 137)(24, 184)(25, 179)(26, 138)(27, 169)(28, 174)(29, 181)(30, 140)(31, 176)(32, 186)(33, 141)(34, 187)(35, 142)(36, 183)(37, 178)(38, 175)(39, 182)(40, 144)(41, 154)(42, 188)(43, 145)(44, 189)(45, 146)(46, 164)(47, 152)(48, 147)(49, 159)(50, 157)(51, 167)(52, 149)(53, 165)(54, 153)(55, 156)(56, 166)(57, 191)(58, 158)(59, 161)(60, 168)(61, 171)(62, 185)(63, 192)(64, 190)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 2, 16, 2, 16, 2, 16, 2, 16 ) }
Outer automorphisms :: reflexible
Dual of E13.1130
Graph:: bipartite
	v = 32 e = 128 f = 72
	degree seq :: [ 8^32 ]

E13.1116 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 8})
Quotient :: dipole
Aut^+ = ((C8 : C2) : C2) : C2 (small group id <64, 32>)
Aut   = $<128, 928>$ (small group id <128, 928>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, (Y2^-1 * Y1)^2, (R * Y3)^2, (R * Y1)^2, Y1^4, (Y2^2 * Y1^-2)^2, Y2^8, (Y3^-1 * Y1^-1)^4, (Y2^-1 * Y1^-1 * Y2^-2)^2 ]
Map::
	R = (1, 65, 2, 66, 6, 70, 4, 68)(3, 67, 9, 73, 19, 83, 8, 72)(5, 69, 11, 75, 25, 89, 13, 77)(7, 71, 17, 81, 35, 99, 16, 80)(10, 74, 23, 87, 36, 100, 22, 86)(12, 76, 15, 79, 33, 97, 27, 91)(14, 78, 29, 93, 34, 98, 31, 95)(18, 82, 39, 103, 28, 92, 38, 102)(20, 84, 41, 105, 26, 90, 43, 107)(21, 85, 45, 109, 54, 118, 42, 106)(24, 88, 49, 113, 59, 123, 48, 112)(30, 94, 51, 115, 56, 120, 37, 101)(32, 96, 53, 117, 60, 124, 40, 104)(44, 108, 62, 126, 46, 110, 55, 119)(47, 111, 58, 122, 52, 116, 57, 121)(50, 114, 61, 125, 64, 128, 63, 127)(129, 193, 131, 195, 138, 202, 152, 216, 178, 242, 160, 224, 142, 206, 133, 197)(130, 194, 135, 199, 146, 210, 168, 232, 189, 253, 172, 236, 148, 212, 136, 200)(132, 196, 139, 203, 154, 218, 180, 244, 191, 255, 177, 241, 156, 220, 140, 204)(134, 198, 143, 207, 162, 226, 183, 247, 192, 256, 185, 249, 164, 228, 144, 208)(137, 201, 149, 213, 174, 238, 159, 223, 181, 245, 184, 248, 163, 227, 150, 214)(141, 205, 157, 221, 161, 225, 182, 246, 176, 240, 151, 215, 175, 239, 158, 222)(145, 209, 165, 229, 186, 250, 171, 235, 190, 254, 173, 237, 155, 219, 166, 230)(147, 211, 169, 233, 153, 217, 179, 243, 188, 252, 167, 231, 187, 251, 170, 234)
	L = (1, 131)(2, 135)(3, 138)(4, 139)(5, 129)(6, 143)(7, 146)(8, 130)(9, 149)(10, 152)(11, 154)(12, 132)(13, 157)(14, 133)(15, 162)(16, 134)(17, 165)(18, 168)(19, 169)(20, 136)(21, 174)(22, 137)(23, 175)(24, 178)(25, 179)(26, 180)(27, 166)(28, 140)(29, 161)(30, 141)(31, 181)(32, 142)(33, 182)(34, 183)(35, 150)(36, 144)(37, 186)(38, 145)(39, 187)(40, 189)(41, 153)(42, 147)(43, 190)(44, 148)(45, 155)(46, 159)(47, 158)(48, 151)(49, 156)(50, 160)(51, 188)(52, 191)(53, 184)(54, 176)(55, 192)(56, 163)(57, 164)(58, 171)(59, 170)(60, 167)(61, 172)(62, 173)(63, 177)(64, 185)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 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 E13.1122
Graph:: bipartite
	v = 24 e = 128 f = 80
	degree seq :: [ 8^16, 16^8 ]

E13.1117 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 8})
Quotient :: dipole
Aut^+ = ((C8 : C2) : C2) : C2 (small group id <64, 32>)
Aut   = $<128, 928>$ (small group id <128, 928>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, Y1^4, (R * Y1)^2, (R * Y3)^2, (Y1^-1 * Y2^-2)^2, (Y2^2 * Y1^-1)^2, (Y1^-1 * Y2^-1)^4, Y1^-1 * Y2^-3 * Y1^2 * Y2^-1 * Y1^-1, (Y2 * Y1 * Y2 * Y1^-1)^2, (Y2^-1, Y1^-1)^2, (Y2 * Y1^-1 * Y2^-1 * Y1^-1)^2, (Y3^-1 * Y1^-1)^4, Y2^8 ]
Map::
	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, 28, 92, 42, 106, 24, 88)(12, 76, 32, 96, 56, 120, 34, 98)(13, 77, 35, 99, 50, 114, 36, 100)(16, 80, 33, 97, 46, 110, 20, 84)(17, 81, 41, 105, 40, 104, 43, 107)(18, 82, 44, 108, 29, 93, 45, 109)(26, 90, 58, 122, 61, 125, 48, 112)(27, 91, 55, 119, 38, 102, 52, 116)(30, 94, 60, 124, 62, 126, 51, 115)(31, 95, 54, 118, 39, 103, 49, 113)(57, 121, 63, 127, 59, 123, 64, 128)(129, 193, 131, 195, 138, 202, 157, 221, 187, 251, 168, 232, 144, 208, 133, 197)(130, 194, 135, 199, 148, 212, 178, 242, 192, 256, 184, 248, 152, 216, 136, 200)(132, 196, 140, 204, 161, 225, 181, 245, 191, 255, 175, 239, 156, 220, 141, 205)(134, 198, 145, 209, 170, 234, 165, 229, 185, 249, 153, 217, 174, 238, 146, 210)(137, 201, 154, 218, 143, 207, 167, 231, 171, 235, 190, 254, 172, 236, 155, 219)(139, 203, 158, 222, 142, 206, 166, 230, 169, 233, 189, 253, 173, 237, 159, 223)(147, 211, 176, 240, 151, 215, 183, 247, 162, 226, 188, 252, 163, 227, 177, 241)(149, 213, 179, 243, 150, 214, 182, 246, 160, 224, 186, 250, 164, 228, 180, 244)
	L = (1, 131)(2, 135)(3, 138)(4, 140)(5, 129)(6, 145)(7, 148)(8, 130)(9, 154)(10, 157)(11, 158)(12, 161)(13, 132)(14, 166)(15, 167)(16, 133)(17, 170)(18, 134)(19, 176)(20, 178)(21, 179)(22, 182)(23, 183)(24, 136)(25, 174)(26, 143)(27, 137)(28, 141)(29, 187)(30, 142)(31, 139)(32, 186)(33, 181)(34, 188)(35, 177)(36, 180)(37, 185)(38, 169)(39, 171)(40, 144)(41, 189)(42, 165)(43, 190)(44, 155)(45, 159)(46, 146)(47, 156)(48, 151)(49, 147)(50, 192)(51, 150)(52, 149)(53, 191)(54, 160)(55, 162)(56, 152)(57, 153)(58, 164)(59, 168)(60, 163)(61, 173)(62, 172)(63, 175)(64, 184)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 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 E13.1123
Graph:: bipartite
	v = 24 e = 128 f = 80
	degree seq :: [ 8^16, 16^8 ]

E13.1118 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 8})
Quotient :: dipole
Aut^+ = (C4 x C2 x C2) : C4 (small group id <64, 33>)
Aut   = $<128, 932>$ (small group id <128, 932>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, (R * Y1)^2, (R * Y3)^2, Y1^4, Y2^-1 * Y1 * Y2^3 * Y1, Y2 * Y1^-1 * Y2^5 * Y1^-1, Y2^2 * Y1^-1 * Y2^-1 * Y1^2 * Y2^-1 * Y1^-1, Y1 * Y2^-1 * Y1^-2 * Y2^-1 * Y1 * Y2^-2, (Y1^-2 * Y2^2)^2, (Y2 * Y1 * Y2 * Y1^-1)^2, (Y3^-1 * Y1^-1)^4 ]
Map::
	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, 28, 92, 46, 110, 30, 94)(12, 76, 32, 96, 59, 123, 29, 93)(13, 77, 34, 98, 60, 124, 35, 99)(16, 80, 40, 104, 42, 106, 27, 91)(17, 81, 41, 105, 61, 125, 43, 107)(18, 82, 44, 108, 63, 127, 45, 109)(20, 84, 50, 114, 36, 100, 51, 115)(24, 88, 56, 120, 33, 97, 49, 113)(26, 90, 58, 122, 62, 126, 55, 119)(31, 95, 52, 116, 38, 102, 54, 118)(39, 103, 57, 121, 64, 128, 48, 112)(129, 193, 131, 195, 138, 202, 157, 221, 182, 246, 150, 214, 144, 208, 133, 197)(130, 194, 135, 199, 148, 212, 139, 203, 159, 223, 172, 236, 152, 216, 136, 200)(132, 196, 140, 204, 161, 225, 171, 235, 166, 230, 142, 206, 164, 228, 141, 205)(134, 198, 145, 209, 170, 234, 149, 213, 180, 244, 162, 226, 174, 238, 146, 210)(137, 201, 154, 218, 175, 239, 158, 222, 181, 245, 192, 256, 173, 237, 155, 219)(143, 207, 156, 220, 169, 233, 190, 254, 187, 251, 168, 232, 188, 252, 167, 231)(147, 211, 176, 240, 189, 253, 179, 243, 191, 255, 186, 250, 163, 227, 177, 241)(151, 215, 178, 242, 160, 224, 185, 249, 153, 217, 184, 248, 165, 229, 183, 247)
	L = (1, 131)(2, 135)(3, 138)(4, 140)(5, 129)(6, 145)(7, 148)(8, 130)(9, 154)(10, 157)(11, 159)(12, 161)(13, 132)(14, 164)(15, 156)(16, 133)(17, 170)(18, 134)(19, 176)(20, 139)(21, 180)(22, 144)(23, 178)(24, 136)(25, 184)(26, 175)(27, 137)(28, 169)(29, 182)(30, 181)(31, 172)(32, 185)(33, 171)(34, 174)(35, 177)(36, 141)(37, 183)(38, 142)(39, 143)(40, 188)(41, 190)(42, 149)(43, 166)(44, 152)(45, 155)(46, 146)(47, 158)(48, 189)(49, 147)(50, 160)(51, 191)(52, 162)(53, 192)(54, 150)(55, 151)(56, 165)(57, 153)(58, 163)(59, 168)(60, 167)(61, 179)(62, 187)(63, 186)(64, 173)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 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 E13.1125
Graph:: bipartite
	v = 24 e = 128 f = 80
	degree seq :: [ 8^16, 16^8 ]

E13.1119 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 8})
Quotient :: dipole
Aut^+ = (C4 x C2 x C2) : C4 (small group id <64, 33>)
Aut   = $<128, 932>$ (small group id <128, 932>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, (R * Y1)^2, (R * Y3)^2, Y1^4, Y1^-1 * Y2^3 * Y1^-1 * Y2^-1, Y2^3 * Y1^-1 * Y2^-1 * Y1^-1, Y2 * Y1^-2 * Y2^-2 * Y1 * Y2^-1 * Y1^-1, Y1 * Y2 * Y1^2 * Y2 * Y1 * Y2^2, (Y1^-1 * Y2^2 * Y1^-1)^2, (Y3^-1 * Y1^-1)^4, (Y2 * Y1^-1)^4 ]
Map::
	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, 28, 92, 46, 110, 29, 93)(12, 76, 32, 96, 58, 122, 33, 97)(13, 77, 34, 98, 57, 121, 35, 99)(16, 80, 31, 95, 42, 106, 40, 104)(17, 81, 41, 105, 61, 125, 43, 107)(18, 82, 44, 108, 63, 127, 45, 109)(20, 84, 49, 113, 36, 100, 50, 114)(24, 88, 52, 116, 27, 91, 56, 120)(26, 90, 48, 112, 39, 103, 55, 119)(30, 94, 59, 123, 62, 126, 54, 118)(38, 102, 60, 124, 64, 128, 51, 115)(129, 193, 131, 195, 138, 202, 147, 211, 176, 240, 163, 227, 144, 208, 133, 197)(130, 194, 135, 199, 148, 212, 169, 233, 167, 231, 143, 207, 152, 216, 136, 200)(132, 196, 140, 204, 155, 219, 137, 201, 154, 218, 173, 237, 164, 228, 141, 205)(134, 198, 145, 209, 170, 234, 160, 224, 183, 247, 151, 215, 174, 238, 146, 210)(139, 203, 158, 222, 186, 250, 156, 220, 185, 249, 192, 256, 172, 236, 159, 223)(142, 206, 157, 221, 171, 235, 190, 254, 175, 239, 168, 232, 181, 245, 166, 230)(149, 213, 179, 243, 153, 217, 177, 241, 165, 229, 187, 251, 162, 226, 180, 244)(150, 214, 178, 242, 161, 225, 188, 252, 189, 253, 184, 248, 191, 255, 182, 246)
	L = (1, 131)(2, 135)(3, 138)(4, 140)(5, 129)(6, 145)(7, 148)(8, 130)(9, 154)(10, 147)(11, 158)(12, 155)(13, 132)(14, 157)(15, 152)(16, 133)(17, 170)(18, 134)(19, 176)(20, 169)(21, 179)(22, 178)(23, 174)(24, 136)(25, 177)(26, 173)(27, 137)(28, 185)(29, 171)(30, 186)(31, 139)(32, 183)(33, 188)(34, 180)(35, 144)(36, 141)(37, 187)(38, 142)(39, 143)(40, 181)(41, 167)(42, 160)(43, 190)(44, 159)(45, 164)(46, 146)(47, 168)(48, 163)(49, 165)(50, 161)(51, 153)(52, 149)(53, 166)(54, 150)(55, 151)(56, 191)(57, 192)(58, 156)(59, 162)(60, 189)(61, 184)(62, 175)(63, 182)(64, 172)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 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 E13.1124
Graph:: bipartite
	v = 24 e = 128 f = 80
	degree seq :: [ 8^16, 16^8 ]

E13.1120 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 8})
Quotient :: dipole
Aut^+ = (C4 x C2 x C2) : C4 (small group id <64, 33>)
Aut   = $<128, 932>$ (small group id <128, 932>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, Y1^4, (R * Y1)^2, (R * Y3)^2, Y1 * Y2^-1 * Y1^2 * Y2 * Y1, Y2^3 * Y1^-2 * Y2, Y2 * Y1 * Y2 * Y1 * Y2 * Y1^-1 * Y2 * Y1^-1, (Y2 * Y1^-1 * Y2^-1 * Y1^-1)^2, (Y2 * Y1 * Y2 * Y1^-1)^2, (Y3^-1 * Y1^-1)^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, 16, 80, 28, 92)(20, 84, 37, 101, 24, 88, 38, 102)(25, 89, 42, 106, 29, 93, 44, 108)(26, 90, 36, 100, 30, 94, 40, 104)(31, 95, 41, 105, 33, 97, 43, 107)(32, 96, 35, 99, 34, 98, 39, 103)(45, 109, 57, 121, 46, 110, 55, 119)(47, 111, 54, 118, 49, 113, 53, 117)(48, 112, 60, 124, 50, 114, 59, 123)(51, 115, 58, 122, 52, 116, 56, 120)(61, 125, 63, 127, 62, 126, 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, 173, 237, 158, 222, 139, 203, 157, 221, 174, 238, 154, 218)(142, 206, 159, 223, 179, 243, 162, 226, 143, 207, 161, 225, 180, 244, 160, 224)(147, 211, 163, 227, 181, 245, 168, 232, 149, 213, 167, 231, 182, 246, 164, 228)(150, 214, 169, 233, 187, 251, 172, 236, 151, 215, 171, 235, 188, 252, 170, 234)(155, 219, 175, 239, 189, 253, 178, 242, 156, 220, 177, 241, 190, 254, 176, 240)(165, 229, 183, 247, 191, 255, 186, 250, 166, 230, 185, 249, 192, 256, 184, 248)
	L = (1, 131)(2, 135)(3, 138)(4, 140)(5, 129)(6, 145)(7, 148)(8, 130)(9, 153)(10, 146)(11, 157)(12, 152)(13, 132)(14, 159)(15, 161)(16, 133)(17, 144)(18, 134)(19, 163)(20, 141)(21, 167)(22, 169)(23, 171)(24, 136)(25, 173)(26, 137)(27, 175)(28, 177)(29, 174)(30, 139)(31, 179)(32, 142)(33, 180)(34, 143)(35, 181)(36, 147)(37, 183)(38, 185)(39, 182)(40, 149)(41, 187)(42, 150)(43, 188)(44, 151)(45, 158)(46, 154)(47, 189)(48, 155)(49, 190)(50, 156)(51, 162)(52, 160)(53, 168)(54, 164)(55, 191)(56, 165)(57, 192)(58, 166)(59, 172)(60, 170)(61, 178)(62, 176)(63, 186)(64, 184)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 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 E13.1126
Graph:: bipartite
	v = 24 e = 128 f = 80
	degree seq :: [ 8^16, 16^8 ]

E13.1121 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 8})
Quotient :: dipole
Aut^+ = (C4 x C2 x C2) : C4 (small group id <64, 33>)
Aut   = $<128, 932>$ (small group id <128, 932>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, (R * Y1)^2, (R * Y3)^2, Y1^4, Y2^-1 * Y1^-1 * Y2^2 * Y1^-1 * Y2^-1, Y2^2 * Y1 * Y2^-2 * Y1, (Y2 * Y1^-1 * Y2^-1 * Y1^-1)^2, Y1^-1 * Y2 * Y1^-2 * Y2^3 * Y1^-1, (Y2 * Y1 * Y2 * Y1^-1)^2, Y2^8, (Y3^-1 * Y1^-1)^4, (Y2 * Y1^-1)^4 ]
Map::
	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, 28, 92, 42, 106, 20, 84)(12, 76, 32, 96, 56, 120, 33, 97)(13, 77, 34, 98, 50, 114, 35, 99)(16, 80, 36, 100, 46, 110, 24, 88)(17, 81, 41, 105, 40, 104, 43, 107)(18, 82, 44, 108, 29, 93, 45, 109)(26, 90, 51, 115, 38, 102, 55, 119)(27, 91, 58, 122, 61, 125, 52, 116)(30, 94, 48, 112, 39, 103, 54, 118)(31, 95, 60, 124, 62, 126, 49, 113)(57, 121, 63, 127, 59, 123, 64, 128)(129, 193, 131, 195, 138, 202, 157, 221, 187, 251, 168, 232, 144, 208, 133, 197)(130, 194, 135, 199, 148, 212, 178, 242, 192, 256, 184, 248, 152, 216, 136, 200)(132, 196, 140, 204, 156, 220, 181, 245, 191, 255, 175, 239, 164, 228, 141, 205)(134, 198, 145, 209, 170, 234, 165, 229, 185, 249, 153, 217, 174, 238, 146, 210)(137, 201, 154, 218, 172, 236, 190, 254, 171, 235, 167, 231, 143, 207, 155, 219)(139, 203, 158, 222, 173, 237, 189, 253, 169, 233, 166, 230, 142, 206, 159, 223)(147, 211, 176, 240, 162, 226, 186, 250, 161, 225, 183, 247, 151, 215, 177, 241)(149, 213, 179, 243, 163, 227, 188, 252, 160, 224, 182, 246, 150, 214, 180, 244)
	L = (1, 131)(2, 135)(3, 138)(4, 140)(5, 129)(6, 145)(7, 148)(8, 130)(9, 154)(10, 157)(11, 158)(12, 156)(13, 132)(14, 159)(15, 155)(16, 133)(17, 170)(18, 134)(19, 176)(20, 178)(21, 179)(22, 180)(23, 177)(24, 136)(25, 174)(26, 172)(27, 137)(28, 181)(29, 187)(30, 173)(31, 139)(32, 182)(33, 183)(34, 186)(35, 188)(36, 141)(37, 185)(38, 142)(39, 143)(40, 144)(41, 166)(42, 165)(43, 167)(44, 190)(45, 189)(46, 146)(47, 164)(48, 162)(49, 147)(50, 192)(51, 163)(52, 149)(53, 191)(54, 150)(55, 151)(56, 152)(57, 153)(58, 161)(59, 168)(60, 160)(61, 169)(62, 171)(63, 175)(64, 184)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 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 E13.1127
Graph:: bipartite
	v = 24 e = 128 f = 80
	degree seq :: [ 8^16, 16^8 ]

E13.1122 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 8})
Quotient :: dipole
Aut^+ = ((C8 : C2) : C2) : C2 (small group id <64, 32>)
Aut   = $<128, 928>$ (small group id <128, 928>)
|r| :: 2
Presentation :: [ Y1, R^2, (R * Y3)^2, (R * Y1)^2, Y2^4, (R * Y2 * Y3^-1)^2, (Y3^-1 * Y2 * Y3^-1)^2, (Y3^-2 * Y2^-1)^2, (Y3^-1 * Y2^-1)^4, Y3 * Y2^-1 * Y3^-1 * Y2 * Y3^-1 * Y2^-1 * Y3 * Y2^-1, Y2^-1 * Y3^-3 * Y2^2 * Y3^-1 * Y2^-1, Y3 * Y2^-2 * Y3 * Y2 * Y3^-2 * Y2^-1, (Y3^-1, Y2^-1)^2, (Y3^-1 * Y1^-1)^8 ]
Map:: polytopal
	R = (1, 65)(2, 66)(3, 67)(4, 68)(5, 69)(6, 70)(7, 71)(8, 72)(9, 73)(10, 74)(11, 75)(12, 76)(13, 77)(14, 78)(15, 79)(16, 80)(17, 81)(18, 82)(19, 83)(20, 84)(21, 85)(22, 86)(23, 87)(24, 88)(25, 89)(26, 90)(27, 91)(28, 92)(29, 93)(30, 94)(31, 95)(32, 96)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)(129, 193, 130, 194, 134, 198, 132, 196)(131, 195, 137, 201, 153, 217, 139, 203)(133, 197, 142, 206, 165, 229, 143, 207)(135, 199, 147, 211, 175, 239, 149, 213)(136, 200, 150, 214, 181, 245, 151, 215)(138, 202, 156, 220, 170, 234, 152, 216)(140, 204, 160, 224, 184, 248, 162, 226)(141, 205, 163, 227, 178, 242, 164, 228)(144, 208, 161, 225, 174, 238, 148, 212)(145, 209, 169, 233, 168, 232, 171, 235)(146, 210, 172, 236, 157, 221, 173, 237)(154, 218, 186, 250, 189, 253, 176, 240)(155, 219, 183, 247, 166, 230, 180, 244)(158, 222, 188, 252, 190, 254, 179, 243)(159, 223, 182, 246, 167, 231, 177, 241)(185, 249, 191, 255, 187, 251, 192, 256)
	L = (1, 131)(2, 135)(3, 138)(4, 140)(5, 129)(6, 145)(7, 148)(8, 130)(9, 154)(10, 157)(11, 158)(12, 161)(13, 132)(14, 166)(15, 167)(16, 133)(17, 170)(18, 134)(19, 176)(20, 178)(21, 179)(22, 182)(23, 183)(24, 136)(25, 174)(26, 143)(27, 137)(28, 141)(29, 187)(30, 142)(31, 139)(32, 186)(33, 181)(34, 188)(35, 177)(36, 180)(37, 185)(38, 169)(39, 171)(40, 144)(41, 189)(42, 165)(43, 190)(44, 155)(45, 159)(46, 146)(47, 156)(48, 151)(49, 147)(50, 192)(51, 150)(52, 149)(53, 191)(54, 160)(55, 162)(56, 152)(57, 153)(58, 164)(59, 168)(60, 163)(61, 173)(62, 172)(63, 175)(64, 184)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 8, 16 ), ( 8, 16, 8, 16, 8, 16, 8, 16 ) }
Outer automorphisms :: reflexible
Dual of E13.1116
Graph:: simple bipartite
	v = 80 e = 128 f = 24
	degree seq :: [ 2^64, 8^16 ]

E13.1123 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 8})
Quotient :: dipole
Aut^+ = ((C8 : C2) : C2) : C2 (small group id <64, 32>)
Aut   = $<128, 928>$ (small group id <128, 928>)
|r| :: 2
Presentation :: [ Y1, R^2, (Y3 * Y2)^2, (R * Y3)^2, (R * Y1)^2, Y2^4, (R * Y2 * Y3^-1)^2, Y2^-1 * Y3^-2 * Y2^2 * Y3^-2 * Y2^-1, (Y3 * Y2^-1)^4, (Y3^3 * Y2^-1)^2, (Y3^-1 * Y1^-1)^8 ]
Map:: polytopal
	R = (1, 65)(2, 66)(3, 67)(4, 68)(5, 69)(6, 70)(7, 71)(8, 72)(9, 73)(10, 74)(11, 75)(12, 76)(13, 77)(14, 78)(15, 79)(16, 80)(17, 81)(18, 82)(19, 83)(20, 84)(21, 85)(22, 86)(23, 87)(24, 88)(25, 89)(26, 90)(27, 91)(28, 92)(29, 93)(30, 94)(31, 95)(32, 96)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)(129, 193, 130, 194, 134, 198, 132, 196)(131, 195, 137, 201, 149, 213, 139, 203)(133, 197, 141, 205, 146, 210, 135, 199)(136, 200, 147, 211, 162, 226, 143, 207)(138, 202, 151, 215, 164, 228, 153, 217)(140, 204, 144, 208, 163, 227, 156, 220)(142, 206, 159, 223, 161, 225, 157, 221)(145, 209, 165, 229, 150, 214, 167, 231)(148, 212, 171, 235, 155, 219, 169, 233)(152, 216, 175, 239, 190, 254, 172, 236)(154, 218, 173, 237, 183, 247, 170, 234)(158, 222, 180, 244, 184, 248, 168, 232)(160, 224, 179, 243, 189, 253, 181, 245)(166, 230, 186, 250, 177, 241, 185, 249)(174, 238, 182, 246, 178, 242, 188, 252)(176, 240, 187, 251, 192, 256, 191, 255)
	L = (1, 131)(2, 135)(3, 138)(4, 140)(5, 129)(6, 143)(7, 145)(8, 130)(9, 132)(10, 152)(11, 154)(12, 155)(13, 157)(14, 133)(15, 161)(16, 134)(17, 166)(18, 168)(19, 169)(20, 136)(21, 165)(22, 137)(23, 139)(24, 176)(25, 177)(26, 178)(27, 179)(28, 180)(29, 162)(30, 141)(31, 181)(32, 142)(33, 182)(34, 183)(35, 151)(36, 144)(37, 146)(38, 187)(39, 188)(40, 189)(41, 156)(42, 147)(43, 190)(44, 148)(45, 149)(46, 150)(47, 153)(48, 160)(49, 158)(50, 159)(51, 191)(52, 186)(53, 184)(54, 192)(55, 175)(56, 163)(57, 164)(58, 167)(59, 172)(60, 170)(61, 171)(62, 173)(63, 174)(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 ) }
Outer automorphisms :: reflexible
Dual of E13.1117
Graph:: simple bipartite
	v = 80 e = 128 f = 24
	degree seq :: [ 2^64, 8^16 ]

E13.1124 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 8})
Quotient :: dipole
Aut^+ = (C4 x C2 x C2) : C4 (small group id <64, 33>)
Aut   = $<128, 932>$ (small group id <128, 932>)
|r| :: 2
Presentation :: [ Y1, R^2, Y2^4, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y2 * Y3 * Y2^2 * Y3^-1 * Y2, Y3^4 * Y2^-2, (Y3 * Y2^-1)^4, (Y3 * Y2^-1 * Y3^-1 * Y2^-1)^2, Y3 * Y2 * Y3^-2 * Y2 * Y3^-1 * Y2^-1 * Y3^-2 * Y2^-1, (Y3^-1 * Y1^-1)^8 ]
Map::
	R = (1, 65)(2, 66)(3, 67)(4, 68)(5, 69)(6, 70)(7, 71)(8, 72)(9, 73)(10, 74)(11, 75)(12, 76)(13, 77)(14, 78)(15, 79)(16, 80)(17, 81)(18, 82)(19, 83)(20, 84)(21, 85)(22, 86)(23, 87)(24, 88)(25, 89)(26, 90)(27, 91)(28, 92)(29, 93)(30, 94)(31, 95)(32, 96)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)(129, 193, 130, 194, 134, 198, 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, 144, 208, 156, 220)(148, 212, 165, 229, 152, 216, 166, 230)(153, 217, 170, 234, 157, 221, 172, 236)(154, 218, 164, 228, 158, 222, 168, 232)(159, 223, 169, 233, 161, 225, 171, 235)(160, 224, 163, 227, 162, 226, 167, 231)(173, 237, 185, 249, 174, 238, 183, 247)(175, 239, 182, 246, 177, 241, 181, 245)(176, 240, 188, 252, 178, 242, 187, 251)(179, 243, 186, 250, 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, 146)(11, 157)(12, 152)(13, 132)(14, 159)(15, 161)(16, 133)(17, 144)(18, 134)(19, 163)(20, 141)(21, 167)(22, 169)(23, 171)(24, 136)(25, 173)(26, 137)(27, 175)(28, 177)(29, 174)(30, 139)(31, 179)(32, 142)(33, 180)(34, 143)(35, 181)(36, 147)(37, 183)(38, 185)(39, 182)(40, 149)(41, 187)(42, 150)(43, 188)(44, 151)(45, 158)(46, 154)(47, 189)(48, 155)(49, 190)(50, 156)(51, 162)(52, 160)(53, 168)(54, 164)(55, 191)(56, 165)(57, 192)(58, 166)(59, 172)(60, 170)(61, 178)(62, 176)(63, 186)(64, 184)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 8, 16 ), ( 8, 16, 8, 16, 8, 16, 8, 16 ) }
Outer automorphisms :: reflexible
Dual of E13.1119
Graph:: simple bipartite
	v = 80 e = 128 f = 24
	degree seq :: [ 2^64, 8^16 ]

E13.1125 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 8})
Quotient :: dipole
Aut^+ = (C4 x C2 x C2) : C4 (small group id <64, 33>)
Aut   = $<128, 932>$ (small group id <128, 932>)
|r| :: 2
Presentation :: [ Y1, R^2, Y2^4, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y3^2 * Y2^-1 * Y3^-2 * Y2^-1, (Y3 * Y2^-1 * Y3^-1 * Y2^-1)^2, Y3 * Y2^2 * Y3 * Y2^2 * Y3^2, (Y3^-1, Y2^-1)^2, (Y3 * Y2 * Y3 * Y2^-1)^2, (Y3 * Y2^-1)^4, (Y3^-1 * Y1^-1)^8 ]
Map:: polytopal
	R = (1, 65)(2, 66)(3, 67)(4, 68)(5, 69)(6, 70)(7, 71)(8, 72)(9, 73)(10, 74)(11, 75)(12, 76)(13, 77)(14, 78)(15, 79)(16, 80)(17, 81)(18, 82)(19, 83)(20, 84)(21, 85)(22, 86)(23, 87)(24, 88)(25, 89)(26, 90)(27, 91)(28, 92)(29, 93)(30, 94)(31, 95)(32, 96)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)(129, 193, 130, 194, 134, 198, 132, 196)(131, 195, 137, 201, 153, 217, 139, 203)(133, 197, 142, 206, 165, 229, 143, 207)(135, 199, 147, 211, 175, 239, 149, 213)(136, 200, 150, 214, 181, 245, 151, 215)(138, 202, 156, 220, 170, 234, 148, 212)(140, 204, 160, 224, 184, 248, 161, 225)(141, 205, 162, 226, 178, 242, 163, 227)(144, 208, 164, 228, 174, 238, 152, 216)(145, 209, 169, 233, 168, 232, 171, 235)(146, 210, 172, 236, 157, 221, 173, 237)(154, 218, 179, 243, 166, 230, 183, 247)(155, 219, 186, 250, 189, 253, 180, 244)(158, 222, 176, 240, 167, 231, 182, 246)(159, 223, 188, 252, 190, 254, 177, 241)(185, 249, 191, 255, 187, 251, 192, 256)
	L = (1, 131)(2, 135)(3, 138)(4, 140)(5, 129)(6, 145)(7, 148)(8, 130)(9, 154)(10, 157)(11, 158)(12, 156)(13, 132)(14, 159)(15, 155)(16, 133)(17, 170)(18, 134)(19, 176)(20, 178)(21, 179)(22, 180)(23, 177)(24, 136)(25, 174)(26, 172)(27, 137)(28, 181)(29, 187)(30, 173)(31, 139)(32, 182)(33, 183)(34, 186)(35, 188)(36, 141)(37, 185)(38, 142)(39, 143)(40, 144)(41, 166)(42, 165)(43, 167)(44, 190)(45, 189)(46, 146)(47, 164)(48, 162)(49, 147)(50, 192)(51, 163)(52, 149)(53, 191)(54, 150)(55, 151)(56, 152)(57, 153)(58, 161)(59, 168)(60, 160)(61, 169)(62, 171)(63, 175)(64, 184)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 8, 16 ), ( 8, 16, 8, 16, 8, 16, 8, 16 ) }
Outer automorphisms :: reflexible
Dual of E13.1118
Graph:: simple bipartite
	v = 80 e = 128 f = 24
	degree seq :: [ 2^64, 8^16 ]

E13.1126 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 8})
Quotient :: dipole
Aut^+ = (C4 x C2 x C2) : C4 (small group id <64, 33>)
Aut   = $<128, 932>$ (small group id <128, 932>)
|r| :: 2
Presentation :: [ Y1, R^2, (R * Y3)^2, (R * Y1)^2, Y2^4, Y2 * Y3^3 * Y2 * Y3^-1, (R * Y2 * Y3^-1)^2, Y3^2 * Y2 * Y3^-1 * Y2 * Y3, Y3^5 * Y2^-1 * Y3 * Y2^-1, Y3^-1 * Y2^-1 * Y3^2 * Y2^-1 * Y3^-1 * Y2^2, (Y3 * Y2 * Y3 * Y2^-1)^2, (Y2^-1 * Y3^-1)^4, (Y3^-1 * Y1^-1)^8 ]
Map:: polytopal
	R = (1, 65)(2, 66)(3, 67)(4, 68)(5, 69)(6, 70)(7, 71)(8, 72)(9, 73)(10, 74)(11, 75)(12, 76)(13, 77)(14, 78)(15, 79)(16, 80)(17, 81)(18, 82)(19, 83)(20, 84)(21, 85)(22, 86)(23, 87)(24, 88)(25, 89)(26, 90)(27, 91)(28, 92)(29, 93)(30, 94)(31, 95)(32, 96)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)(129, 193, 130, 194, 134, 198, 132, 196)(131, 195, 137, 201, 153, 217, 139, 203)(133, 197, 142, 206, 165, 229, 143, 207)(135, 199, 147, 211, 175, 239, 149, 213)(136, 200, 150, 214, 181, 245, 151, 215)(138, 202, 156, 220, 174, 238, 158, 222)(140, 204, 160, 224, 187, 251, 157, 221)(141, 205, 162, 226, 188, 252, 163, 227)(144, 208, 168, 232, 170, 234, 155, 219)(145, 209, 169, 233, 189, 253, 171, 235)(146, 210, 172, 236, 191, 255, 173, 237)(148, 212, 178, 242, 164, 228, 179, 243)(152, 216, 184, 248, 161, 225, 177, 241)(154, 218, 186, 250, 190, 254, 183, 247)(159, 223, 180, 244, 166, 230, 182, 246)(167, 231, 185, 249, 192, 256, 176, 240)
	L = (1, 131)(2, 135)(3, 138)(4, 140)(5, 129)(6, 145)(7, 148)(8, 130)(9, 154)(10, 157)(11, 159)(12, 161)(13, 132)(14, 164)(15, 156)(16, 133)(17, 170)(18, 134)(19, 176)(20, 139)(21, 180)(22, 144)(23, 178)(24, 136)(25, 184)(26, 175)(27, 137)(28, 169)(29, 182)(30, 181)(31, 172)(32, 185)(33, 171)(34, 174)(35, 177)(36, 141)(37, 183)(38, 142)(39, 143)(40, 188)(41, 190)(42, 149)(43, 166)(44, 152)(45, 155)(46, 146)(47, 158)(48, 189)(49, 147)(50, 160)(51, 191)(52, 162)(53, 192)(54, 150)(55, 151)(56, 165)(57, 153)(58, 163)(59, 168)(60, 167)(61, 179)(62, 187)(63, 186)(64, 173)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 8, 16 ), ( 8, 16, 8, 16, 8, 16, 8, 16 ) }
Outer automorphisms :: reflexible
Dual of E13.1120
Graph:: simple bipartite
	v = 80 e = 128 f = 24
	degree seq :: [ 2^64, 8^16 ]

E13.1127 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 8})
Quotient :: dipole
Aut^+ = (C4 x C2 x C2) : C4 (small group id <64, 33>)
Aut   = $<128, 932>$ (small group id <128, 932>)
|r| :: 2
Presentation :: [ Y1, R^2, (R * Y3)^2, (R * Y1)^2, Y2^4, (R * Y2 * Y3^-1)^2, Y3 * Y2^-1 * Y3^-1 * Y2^-1 * Y3^2, (Y2^-1 * Y3^2 * Y2^-1)^2, Y3 * Y2 * Y3^5 * Y2, Y3^-1 * Y2^2 * Y3^-1 * Y2^-1 * Y3^-2 * Y2^-1, (Y3 * Y2^-1)^4, (Y3^-1 * Y1^-1)^8 ]
Map:: polytopal
	R = (1, 65)(2, 66)(3, 67)(4, 68)(5, 69)(6, 70)(7, 71)(8, 72)(9, 73)(10, 74)(11, 75)(12, 76)(13, 77)(14, 78)(15, 79)(16, 80)(17, 81)(18, 82)(19, 83)(20, 84)(21, 85)(22, 86)(23, 87)(24, 88)(25, 89)(26, 90)(27, 91)(28, 92)(29, 93)(30, 94)(31, 95)(32, 96)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)(129, 193, 130, 194, 134, 198, 132, 196)(131, 195, 137, 201, 153, 217, 139, 203)(133, 197, 142, 206, 165, 229, 143, 207)(135, 199, 147, 211, 175, 239, 149, 213)(136, 200, 150, 214, 181, 245, 151, 215)(138, 202, 156, 220, 174, 238, 157, 221)(140, 204, 160, 224, 186, 250, 161, 225)(141, 205, 162, 226, 185, 249, 163, 227)(144, 208, 159, 223, 170, 234, 168, 232)(145, 209, 169, 233, 189, 253, 171, 235)(146, 210, 172, 236, 191, 255, 173, 237)(148, 212, 177, 241, 164, 228, 178, 242)(152, 216, 180, 244, 155, 219, 184, 248)(154, 218, 176, 240, 167, 231, 183, 247)(158, 222, 187, 251, 190, 254, 182, 246)(166, 230, 188, 252, 192, 256, 179, 243)
	L = (1, 131)(2, 135)(3, 138)(4, 140)(5, 129)(6, 145)(7, 148)(8, 130)(9, 154)(10, 147)(11, 158)(12, 155)(13, 132)(14, 157)(15, 152)(16, 133)(17, 170)(18, 134)(19, 176)(20, 169)(21, 179)(22, 178)(23, 174)(24, 136)(25, 177)(26, 173)(27, 137)(28, 185)(29, 171)(30, 186)(31, 139)(32, 183)(33, 188)(34, 180)(35, 144)(36, 141)(37, 187)(38, 142)(39, 143)(40, 181)(41, 167)(42, 160)(43, 190)(44, 159)(45, 164)(46, 146)(47, 168)(48, 163)(49, 165)(50, 161)(51, 153)(52, 149)(53, 166)(54, 150)(55, 151)(56, 191)(57, 192)(58, 156)(59, 162)(60, 189)(61, 184)(62, 175)(63, 182)(64, 172)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 8, 16 ), ( 8, 16, 8, 16, 8, 16, 8, 16 ) }
Outer automorphisms :: reflexible
Dual of E13.1121
Graph:: simple bipartite
	v = 80 e = 128 f = 24
	degree seq :: [ 2^64, 8^16 ]

E13.1128 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 8})
Quotient :: dipole
Aut^+ = ((C8 : C2) : C2) : C2 (small group id <64, 32>)
Aut   = $<128, 928>$ (small group id <128, 928>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y1)^2, (R * Y3)^2, Y3^4, (R * Y2 * Y3^-1)^2, (Y1^2 * Y3^-1)^2, (Y1^-2 * Y3^-1)^2, (Y3^-1 * Y1 * Y3 * Y1)^2, (Y3 * Y1^-1)^4, Y1^-2 * Y3^-2 * Y1^-1 * Y3^2 * Y1^-1, Y1^8, Y3 * Y1^-2 * Y3^-2 * Y1^2 * Y3, (Y3 * Y2^-1)^4, (Y3^-1, Y1^-1)^2, (Y3 * Y1 * Y3 * Y1^-1)^2 ]
Map:: polytopal
	R = (1, 65, 2, 66, 6, 70, 17, 81, 41, 105, 35, 99, 13, 77, 4, 68)(3, 67, 9, 73, 25, 89, 57, 121, 61, 125, 46, 110, 19, 83, 11, 75)(5, 69, 15, 79, 34, 98, 60, 124, 62, 126, 45, 109, 18, 82, 16, 80)(7, 71, 20, 84, 14, 78, 36, 100, 59, 123, 64, 128, 43, 107, 22, 86)(8, 72, 23, 87, 12, 76, 32, 96, 58, 122, 63, 127, 42, 106, 24, 88)(10, 74, 28, 92, 44, 108, 33, 97, 50, 114, 21, 85, 49, 113, 29, 93)(26, 90, 48, 112, 31, 95, 51, 115, 38, 102, 53, 117, 39, 103, 56, 120)(27, 91, 54, 118, 30, 94, 55, 119, 37, 101, 47, 111, 40, 104, 52, 116)(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, 158)(12, 161)(13, 162)(14, 132)(15, 165)(16, 167)(17, 170)(18, 172)(19, 134)(20, 175)(21, 136)(22, 179)(23, 181)(24, 183)(25, 141)(26, 173)(27, 137)(28, 186)(29, 171)(30, 188)(31, 139)(32, 180)(33, 142)(34, 177)(35, 187)(36, 184)(37, 174)(38, 143)(39, 185)(40, 144)(41, 189)(42, 157)(43, 145)(44, 147)(45, 155)(46, 166)(47, 191)(48, 148)(49, 153)(50, 190)(51, 160)(52, 150)(53, 192)(54, 151)(55, 164)(56, 152)(57, 168)(58, 163)(59, 156)(60, 159)(61, 178)(62, 169)(63, 176)(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, 8 ), ( 8^16 ) }
Outer automorphisms :: reflexible
Dual of E13.1113
Graph:: simple bipartite
	v = 72 e = 128 f = 32
	degree seq :: [ 2^64, 16^8 ]

E13.1129 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 8})
Quotient :: dipole
Aut^+ = (C4 x C2 x C2) : C4 (small group id <64, 33>)
Aut   = $<128, 932>$ (small group id <128, 932>)
|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, Y3^2 * Y1^-4, (Y3^-1, Y1, Y3^-1), (Y3 * Y1^-1)^4, (Y3^-1, Y1^-1)^2, (Y3 * Y2^-1)^4 ]
Map::
	R = (1, 65, 2, 66, 6, 70, 17, 81, 10, 74, 21, 85, 13, 77, 4, 68)(3, 67, 9, 73, 25, 89, 16, 80, 5, 69, 15, 79, 29, 93, 11, 75)(7, 71, 20, 84, 39, 103, 24, 88, 8, 72, 23, 87, 43, 107, 22, 86)(12, 76, 31, 95, 51, 115, 34, 98, 14, 78, 33, 97, 52, 116, 32, 96)(18, 82, 35, 99, 53, 117, 38, 102, 19, 83, 37, 101, 57, 121, 36, 100)(26, 90, 47, 111, 55, 119, 44, 108, 27, 91, 48, 112, 54, 118, 42, 106)(28, 92, 49, 113, 58, 122, 41, 105, 30, 94, 50, 114, 56, 120, 40, 104)(45, 109, 60, 124, 63, 127, 62, 126, 46, 110, 59, 123, 64, 128, 61, 125)(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, 156)(12, 145)(13, 147)(14, 132)(15, 155)(16, 158)(17, 142)(18, 141)(19, 134)(20, 168)(21, 136)(22, 170)(23, 169)(24, 172)(25, 173)(26, 143)(27, 137)(28, 144)(29, 174)(30, 139)(31, 177)(32, 175)(33, 178)(34, 176)(35, 182)(36, 184)(37, 183)(38, 186)(39, 187)(40, 151)(41, 148)(42, 152)(43, 188)(44, 150)(45, 157)(46, 153)(47, 162)(48, 160)(49, 161)(50, 159)(51, 190)(52, 189)(53, 191)(54, 165)(55, 163)(56, 166)(57, 192)(58, 164)(59, 171)(60, 167)(61, 179)(62, 180)(63, 185)(64, 181)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 8, 8 ), ( 8^16 ) }
Outer automorphisms :: reflexible
Dual of E13.1114
Graph:: simple bipartite
	v = 72 e = 128 f = 32
	degree seq :: [ 2^64, 16^8 ]

E13.1130 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 8})
Quotient :: dipole
Aut^+ = (C4 x C2 x C2) : C4 (small group id <64, 33>)
Aut   = $<128, 932>$ (small group id <128, 932>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y1)^2, (R * Y3)^2, Y3^4, (R * Y2 * Y3^-1)^2, Y1 * Y3^-1 * Y1^-2 * Y3^-1 * Y1, Y3^-2 * Y1^-3 * Y3^2 * Y1^-1, (Y3 * Y1^-1 * Y3 * Y1)^2, (Y3^-1 * Y1^-1)^4, (Y3 * Y2^-1)^4, Y1^8, (Y3 * Y1^-1)^4, (Y3 * Y1^-1 * Y3^-1 * Y1^-1)^2 ]
Map:: polytopal
	R = (1, 65, 2, 66, 6, 70, 17, 81, 41, 105, 35, 99, 13, 77, 4, 68)(3, 67, 9, 73, 19, 83, 46, 110, 61, 125, 60, 124, 30, 94, 11, 75)(5, 69, 15, 79, 18, 82, 44, 108, 62, 126, 57, 121, 34, 98, 16, 80)(7, 71, 20, 84, 43, 107, 64, 128, 59, 123, 36, 100, 14, 78, 22, 86)(8, 72, 23, 87, 42, 106, 63, 127, 58, 122, 33, 97, 12, 76, 24, 88)(10, 74, 27, 91, 45, 109, 32, 96, 50, 114, 21, 85, 49, 113, 28, 92)(25, 89, 53, 117, 39, 103, 51, 115, 38, 102, 48, 112, 31, 95, 56, 120)(26, 90, 47, 111, 40, 104, 55, 119, 37, 101, 54, 118, 29, 93, 52, 116)(129, 193)(130, 194)(131, 195)(132, 196)(133, 197)(134, 198)(135, 199)(136, 200)(137, 201)(138, 202)(139, 203)(140, 204)(141, 205)(142, 206)(143, 207)(144, 208)(145, 209)(146, 210)(147, 211)(148, 212)(149, 213)(150, 214)(151, 215)(152, 216)(153, 217)(154, 218)(155, 219)(156, 220)(157, 221)(158, 222)(159, 223)(160, 224)(161, 225)(162, 226)(163, 227)(164, 228)(165, 229)(166, 230)(167, 231)(168, 232)(169, 233)(170, 234)(171, 235)(172, 236)(173, 237)(174, 238)(175, 239)(176, 240)(177, 241)(178, 242)(179, 243)(180, 244)(181, 245)(182, 246)(183, 247)(184, 248)(185, 249)(186, 250)(187, 251)(188, 252)(189, 253)(190, 254)(191, 255)(192, 256)
	L = (1, 131)(2, 135)(3, 138)(4, 140)(5, 129)(6, 146)(7, 149)(8, 130)(9, 153)(10, 133)(11, 157)(12, 160)(13, 162)(14, 132)(15, 165)(16, 167)(17, 170)(18, 173)(19, 134)(20, 175)(21, 136)(22, 179)(23, 181)(24, 183)(25, 185)(26, 137)(27, 186)(28, 171)(29, 172)(30, 141)(31, 139)(32, 142)(33, 176)(34, 177)(35, 187)(36, 182)(37, 188)(38, 143)(39, 174)(40, 144)(41, 189)(42, 156)(43, 145)(44, 159)(45, 147)(46, 168)(47, 161)(48, 148)(49, 158)(50, 190)(51, 191)(52, 150)(53, 164)(54, 151)(55, 192)(56, 152)(57, 154)(58, 163)(59, 155)(60, 166)(61, 178)(62, 169)(63, 180)(64, 184)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 8, 8 ), ( 8^16 ) }
Outer automorphisms :: reflexible
Dual of E13.1115
Graph:: simple bipartite
	v = 72 e = 128 f = 32
	degree seq :: [ 2^64, 16^8 ]

E13.1131 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 16, 16})
Quotient :: regular
Aut^+ = (C16 x C2) : C2 (small group id <64, 29>)
Aut   = $<128, 916>$ (small group id <128, 916>)
|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, T1^16, T2 * T1^-3 * T2 * T1^-3 * T2 * T1^-3 * T2 * T1^-7 ]
Map:: non-degenerate
	R = (1, 2, 5, 11, 20, 29, 37, 45, 53, 52, 44, 36, 28, 19, 10, 4)(3, 7, 12, 22, 30, 39, 46, 55, 60, 58, 50, 42, 34, 26, 17, 8)(6, 13, 21, 31, 38, 47, 54, 61, 59, 51, 43, 35, 27, 18, 9, 14)(15, 23, 32, 40, 48, 56, 62, 64, 63, 57, 49, 41, 33, 25, 16, 24)
	L = (1, 3)(2, 6)(4, 9)(5, 12)(7, 15)(8, 16)(10, 17)(11, 21)(13, 23)(14, 24)(18, 25)(19, 27)(20, 30)(22, 32)(26, 33)(28, 34)(29, 38)(31, 40)(35, 41)(36, 43)(37, 46)(39, 48)(42, 49)(44, 50)(45, 54)(47, 56)(51, 57)(52, 59)(53, 60)(55, 62)(58, 63)(61, 64)
	local type(s) :: { ( 16^16 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: ET+ VT+ AT+ REG+
Graph:: bipartite
	v = 4 e = 32 f = 4
	degree seq :: [ 16^4 ]

E13.1132 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 16, 16})
Quotient :: edge
Aut^+ = (C16 x C2) : C2 (small group id <64, 29>)
Aut   = $<128, 916>$ (small group id <128, 916>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, T2^2 * T1 * T2^-2 * T1, (T2 * T1 * T2^-1 * T1)^2, T2^16, T1 * T2^-3 * T1 * T2^-3 * T1 * T2^-3 * T1 * T2^-7 ]
Map::
	R = (1, 3, 8, 17, 26, 34, 42, 50, 58, 52, 44, 36, 28, 19, 10, 4)(2, 5, 12, 22, 30, 38, 46, 54, 61, 56, 48, 40, 32, 24, 14, 6)(7, 15, 25, 33, 41, 49, 57, 63, 59, 51, 43, 35, 27, 18, 9, 16)(11, 20, 29, 37, 45, 53, 60, 64, 62, 55, 47, 39, 31, 23, 13, 21)(65, 66)(67, 71)(68, 73)(69, 75)(70, 77)(72, 76)(74, 78)(79, 84)(80, 85)(81, 89)(82, 87)(83, 91)(86, 93)(88, 95)(90, 94)(92, 96)(97, 101)(98, 105)(99, 103)(100, 107)(102, 109)(104, 111)(106, 110)(108, 112)(113, 117)(114, 121)(115, 119)(116, 123)(118, 124)(120, 126)(122, 125)(127, 128)
	L = (1, 65)(2, 66)(3, 67)(4, 68)(5, 69)(6, 70)(7, 71)(8, 72)(9, 73)(10, 74)(11, 75)(12, 76)(13, 77)(14, 78)(15, 79)(16, 80)(17, 81)(18, 82)(19, 83)(20, 84)(21, 85)(22, 86)(23, 87)(24, 88)(25, 89)(26, 90)(27, 91)(28, 92)(29, 93)(30, 94)(31, 95)(32, 96)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 32, 32 ), ( 32^16 ) }
Outer automorphisms :: reflexible
Dual of E13.1133
Transitivity :: ET+
Graph:: simple bipartite
	v = 36 e = 64 f = 4
	degree seq :: [ 2^32, 16^4 ]

E13.1133 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 16, 16})
Quotient :: loop
Aut^+ = (C16 x C2) : C2 (small group id <64, 29>)
Aut   = $<128, 916>$ (small group id <128, 916>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, T2^2 * T1 * T2^-2 * T1, (T2 * T1 * T2^-1 * T1)^2, T2^16, T1 * T2^-3 * T1 * T2^-3 * T1 * T2^-3 * T1 * T2^-7 ]
Map::
	R = (1, 65, 3, 67, 8, 72, 17, 81, 26, 90, 34, 98, 42, 106, 50, 114, 58, 122, 52, 116, 44, 108, 36, 100, 28, 92, 19, 83, 10, 74, 4, 68)(2, 66, 5, 69, 12, 76, 22, 86, 30, 94, 38, 102, 46, 110, 54, 118, 61, 125, 56, 120, 48, 112, 40, 104, 32, 96, 24, 88, 14, 78, 6, 70)(7, 71, 15, 79, 25, 89, 33, 97, 41, 105, 49, 113, 57, 121, 63, 127, 59, 123, 51, 115, 43, 107, 35, 99, 27, 91, 18, 82, 9, 73, 16, 80)(11, 75, 20, 84, 29, 93, 37, 101, 45, 109, 53, 117, 60, 124, 64, 128, 62, 126, 55, 119, 47, 111, 39, 103, 31, 95, 23, 87, 13, 77, 21, 85)
	L = (1, 66)(2, 65)(3, 71)(4, 73)(5, 75)(6, 77)(7, 67)(8, 76)(9, 68)(10, 78)(11, 69)(12, 72)(13, 70)(14, 74)(15, 84)(16, 85)(17, 89)(18, 87)(19, 91)(20, 79)(21, 80)(22, 93)(23, 82)(24, 95)(25, 81)(26, 94)(27, 83)(28, 96)(29, 86)(30, 90)(31, 88)(32, 92)(33, 101)(34, 105)(35, 103)(36, 107)(37, 97)(38, 109)(39, 99)(40, 111)(41, 98)(42, 110)(43, 100)(44, 112)(45, 102)(46, 106)(47, 104)(48, 108)(49, 117)(50, 121)(51, 119)(52, 123)(53, 113)(54, 124)(55, 115)(56, 126)(57, 114)(58, 125)(59, 116)(60, 118)(61, 122)(62, 120)(63, 128)(64, 127)
	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 E13.1132
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 4 e = 64 f = 36
	degree seq :: [ 32^4 ]

E13.1134 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 16, 16})
Quotient :: dipole
Aut^+ = (C16 x C2) : C2 (small group id <64, 29>)
Aut   = $<128, 916>$ (small group id <128, 916>)
|r| :: 2
Presentation :: [ 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^-1 * Y1)^2, Y2^16, (Y3 * Y2^-1)^16 ]
Map::
	R = (1, 65, 2, 66)(3, 67, 7, 71)(4, 68, 9, 73)(5, 69, 11, 75)(6, 70, 13, 77)(8, 72, 12, 76)(10, 74, 14, 78)(15, 79, 20, 84)(16, 80, 21, 85)(17, 81, 25, 89)(18, 82, 23, 87)(19, 83, 27, 91)(22, 86, 29, 93)(24, 88, 31, 95)(26, 90, 30, 94)(28, 92, 32, 96)(33, 97, 37, 101)(34, 98, 41, 105)(35, 99, 39, 103)(36, 100, 43, 107)(38, 102, 45, 109)(40, 104, 47, 111)(42, 106, 46, 110)(44, 108, 48, 112)(49, 113, 53, 117)(50, 114, 57, 121)(51, 115, 55, 119)(52, 116, 59, 123)(54, 118, 60, 124)(56, 120, 62, 126)(58, 122, 61, 125)(63, 127, 64, 128)(129, 193, 131, 195, 136, 200, 145, 209, 154, 218, 162, 226, 170, 234, 178, 242, 186, 250, 180, 244, 172, 236, 164, 228, 156, 220, 147, 211, 138, 202, 132, 196)(130, 194, 133, 197, 140, 204, 150, 214, 158, 222, 166, 230, 174, 238, 182, 246, 189, 253, 184, 248, 176, 240, 168, 232, 160, 224, 152, 216, 142, 206, 134, 198)(135, 199, 143, 207, 153, 217, 161, 225, 169, 233, 177, 241, 185, 249, 191, 255, 187, 251, 179, 243, 171, 235, 163, 227, 155, 219, 146, 210, 137, 201, 144, 208)(139, 203, 148, 212, 157, 221, 165, 229, 173, 237, 181, 245, 188, 252, 192, 256, 190, 254, 183, 247, 175, 239, 167, 231, 159, 223, 151, 215, 141, 205, 149, 213)
	L = (1, 130)(2, 129)(3, 135)(4, 137)(5, 139)(6, 141)(7, 131)(8, 140)(9, 132)(10, 142)(11, 133)(12, 136)(13, 134)(14, 138)(15, 148)(16, 149)(17, 153)(18, 151)(19, 155)(20, 143)(21, 144)(22, 157)(23, 146)(24, 159)(25, 145)(26, 158)(27, 147)(28, 160)(29, 150)(30, 154)(31, 152)(32, 156)(33, 165)(34, 169)(35, 167)(36, 171)(37, 161)(38, 173)(39, 163)(40, 175)(41, 162)(42, 174)(43, 164)(44, 176)(45, 166)(46, 170)(47, 168)(48, 172)(49, 181)(50, 185)(51, 183)(52, 187)(53, 177)(54, 188)(55, 179)(56, 190)(57, 178)(58, 189)(59, 180)(60, 182)(61, 186)(62, 184)(63, 192)(64, 191)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 2, 32, 2, 32 ), ( 2, 32, 2, 32, 2, 32, 2, 32, 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 E13.1135
Graph:: bipartite
	v = 36 e = 128 f = 68
	degree seq :: [ 4^32, 32^4 ]

E13.1135 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 16, 16})
Quotient :: dipole
Aut^+ = (C16 x C2) : C2 (small group id <64, 29>)
Aut   = $<128, 916>$ (small group id <128, 916>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y1)^2, (R * Y3)^2, (Y3 * Y2^-1)^2, (R * Y2 * Y3^-1)^2, Y1 * Y3^-1 * Y1^-2 * Y3 * Y1, Y1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3^-1 * Y1 * Y3^-1, Y3 * Y1 * Y3 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1, Y1^16, Y1^-1 * Y3^-1 * Y1^-1 * Y3^-2 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 ]
Map::
	R = (1, 65, 2, 66, 5, 69, 11, 75, 20, 84, 29, 93, 37, 101, 45, 109, 53, 117, 52, 116, 44, 108, 36, 100, 28, 92, 19, 83, 10, 74, 4, 68)(3, 67, 7, 71, 12, 76, 22, 86, 30, 94, 39, 103, 46, 110, 55, 119, 60, 124, 58, 122, 50, 114, 42, 106, 34, 98, 26, 90, 17, 81, 8, 72)(6, 70, 13, 77, 21, 85, 31, 95, 38, 102, 47, 111, 54, 118, 61, 125, 59, 123, 51, 115, 43, 107, 35, 99, 27, 91, 18, 82, 9, 73, 14, 78)(15, 79, 23, 87, 32, 96, 40, 104, 48, 112, 56, 120, 62, 126, 64, 128, 63, 127, 57, 121, 49, 113, 41, 105, 33, 97, 25, 89, 16, 80, 24, 88)(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, 134)(3, 129)(4, 137)(5, 140)(6, 130)(7, 143)(8, 144)(9, 132)(10, 145)(11, 149)(12, 133)(13, 151)(14, 152)(15, 135)(16, 136)(17, 138)(18, 153)(19, 155)(20, 158)(21, 139)(22, 160)(23, 141)(24, 142)(25, 146)(26, 161)(27, 147)(28, 162)(29, 166)(30, 148)(31, 168)(32, 150)(33, 154)(34, 156)(35, 169)(36, 171)(37, 174)(38, 157)(39, 176)(40, 159)(41, 163)(42, 177)(43, 164)(44, 178)(45, 182)(46, 165)(47, 184)(48, 167)(49, 170)(50, 172)(51, 185)(52, 187)(53, 188)(54, 173)(55, 190)(56, 175)(57, 179)(58, 191)(59, 180)(60, 181)(61, 192)(62, 183)(63, 186)(64, 189)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4, 32 ), ( 4, 32, 4, 32, 4, 32, 4, 32, 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 E13.1134
Graph:: simple bipartite
	v = 68 e = 128 f = 36
	degree seq :: [ 2^64, 32^4 ]

E13.1136 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 16, 16})
Quotient :: regular
Aut^+ = (C16 : C2) : C2 (small group id <64, 30>)
Aut   = $<128, 922>$ (small group id <128, 922>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, (T2 * T1 * T2 * T1^-1)^2, T2 * T1 * T2 * T1^2 * T2 * T1^-1 * T2 * T1^-2, T1^-4 * T2 * T1^-2 * T2 * T1^-2, T2 * T1^4 * T2 * T1^-4 ]
Map:: non-degenerate
	R = (1, 2, 5, 11, 23, 45, 36, 57, 64, 59, 32, 54, 44, 22, 10, 4)(3, 7, 15, 31, 46, 42, 21, 41, 52, 26, 12, 25, 49, 37, 18, 8)(6, 13, 27, 53, 40, 20, 9, 19, 38, 48, 24, 47, 43, 58, 30, 14)(16, 33, 50, 63, 60, 35, 17, 34, 51, 28, 55, 62, 61, 39, 56, 29)
	L = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 17)(10, 21)(11, 24)(13, 28)(14, 29)(15, 32)(18, 36)(19, 34)(20, 39)(22, 43)(23, 46)(25, 50)(26, 51)(27, 54)(30, 57)(31, 55)(33, 48)(35, 58)(37, 61)(38, 59)(40, 45)(41, 56)(42, 60)(44, 49)(47, 62)(52, 64)(53, 63)
	local type(s) :: { ( 16^16 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: ET+ VT+ AT+ REG+
Graph:: bipartite
	v = 4 e = 32 f = 4
	degree seq :: [ 16^4 ]

E13.1137 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 16, 16})
Quotient :: edge
Aut^+ = (C16 : C2) : C2 (small group id <64, 30>)
Aut   = $<128, 922>$ (small group id <128, 922>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, (T2 * T1 * T2^-1 * T1)^2, T2^-5 * T1 * T2^-2 * T1 * T2^-1, T2^3 * T1 * T2^-4 * T1 * T2 ]
Map::
	R = (1, 3, 8, 18, 37, 56, 29, 55, 63, 49, 25, 48, 44, 22, 10, 4)(2, 5, 12, 26, 51, 42, 21, 41, 60, 35, 17, 34, 58, 30, 14, 6)(7, 15, 32, 59, 40, 20, 9, 19, 38, 45, 36, 61, 43, 53, 33, 16)(11, 23, 46, 62, 54, 28, 13, 27, 52, 31, 50, 64, 57, 39, 47, 24)(65, 66)(67, 71)(68, 73)(69, 75)(70, 77)(72, 81)(74, 85)(76, 89)(78, 93)(79, 95)(80, 88)(82, 100)(83, 91)(84, 103)(86, 107)(87, 109)(90, 114)(92, 117)(94, 121)(96, 112)(97, 119)(98, 110)(99, 116)(101, 115)(102, 113)(104, 120)(105, 111)(106, 118)(108, 122)(123, 126)(124, 127)(125, 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, 32 ), ( 32^16 ) }
Outer automorphisms :: reflexible
Dual of E13.1138
Transitivity :: ET+
Graph:: simple bipartite
	v = 36 e = 64 f = 4
	degree seq :: [ 2^32, 16^4 ]

E13.1138 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 16, 16})
Quotient :: loop
Aut^+ = (C16 : C2) : C2 (small group id <64, 30>)
Aut   = $<128, 922>$ (small group id <128, 922>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, (T2 * T1 * T2^-1 * T1)^2, T2^-5 * T1 * T2^-2 * T1 * T2^-1, T2^3 * T1 * T2^-4 * T1 * T2 ]
Map::
	R = (1, 65, 3, 67, 8, 72, 18, 82, 37, 101, 56, 120, 29, 93, 55, 119, 63, 127, 49, 113, 25, 89, 48, 112, 44, 108, 22, 86, 10, 74, 4, 68)(2, 66, 5, 69, 12, 76, 26, 90, 51, 115, 42, 106, 21, 85, 41, 105, 60, 124, 35, 99, 17, 81, 34, 98, 58, 122, 30, 94, 14, 78, 6, 70)(7, 71, 15, 79, 32, 96, 59, 123, 40, 104, 20, 84, 9, 73, 19, 83, 38, 102, 45, 109, 36, 100, 61, 125, 43, 107, 53, 117, 33, 97, 16, 80)(11, 75, 23, 87, 46, 110, 62, 126, 54, 118, 28, 92, 13, 77, 27, 91, 52, 116, 31, 95, 50, 114, 64, 128, 57, 121, 39, 103, 47, 111, 24, 88)
	L = (1, 66)(2, 65)(3, 71)(4, 73)(5, 75)(6, 77)(7, 67)(8, 81)(9, 68)(10, 85)(11, 69)(12, 89)(13, 70)(14, 93)(15, 95)(16, 88)(17, 72)(18, 100)(19, 91)(20, 103)(21, 74)(22, 107)(23, 109)(24, 80)(25, 76)(26, 114)(27, 83)(28, 117)(29, 78)(30, 121)(31, 79)(32, 112)(33, 119)(34, 110)(35, 116)(36, 82)(37, 115)(38, 113)(39, 84)(40, 120)(41, 111)(42, 118)(43, 86)(44, 122)(45, 87)(46, 98)(47, 105)(48, 96)(49, 102)(50, 90)(51, 101)(52, 99)(53, 92)(54, 106)(55, 97)(56, 104)(57, 94)(58, 108)(59, 126)(60, 127)(61, 128)(62, 123)(63, 124)(64, 125)
	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 E13.1137
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 4 e = 64 f = 36
	degree seq :: [ 32^4 ]

E13.1139 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 16, 16})
Quotient :: dipole
Aut^+ = (C16 : C2) : C2 (small group id <64, 30>)
Aut   = $<128, 922>$ (small group id <128, 922>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, (Y2^-1 * Y1 * R * Y2^-1)^2, (Y2^-1 * Y1 * Y2 * Y1)^2, Y2^6 * Y1 * Y2^2 * Y1, Y2 * Y1 * Y2 * R * Y2^3 * R * Y2 * Y1, (Y3 * Y2^-1)^16 ]
Map::
	R = (1, 65, 2, 66)(3, 67, 7, 71)(4, 68, 9, 73)(5, 69, 11, 75)(6, 70, 13, 77)(8, 72, 17, 81)(10, 74, 21, 85)(12, 76, 25, 89)(14, 78, 29, 93)(15, 79, 31, 95)(16, 80, 24, 88)(18, 82, 36, 100)(19, 83, 27, 91)(20, 84, 39, 103)(22, 86, 43, 107)(23, 87, 45, 109)(26, 90, 50, 114)(28, 92, 53, 117)(30, 94, 57, 121)(32, 96, 48, 112)(33, 97, 55, 119)(34, 98, 46, 110)(35, 99, 52, 116)(37, 101, 51, 115)(38, 102, 49, 113)(40, 104, 56, 120)(41, 105, 47, 111)(42, 106, 54, 118)(44, 108, 58, 122)(59, 123, 62, 126)(60, 124, 63, 127)(61, 125, 64, 128)(129, 193, 131, 195, 136, 200, 146, 210, 165, 229, 184, 248, 157, 221, 183, 247, 191, 255, 177, 241, 153, 217, 176, 240, 172, 236, 150, 214, 138, 202, 132, 196)(130, 194, 133, 197, 140, 204, 154, 218, 179, 243, 170, 234, 149, 213, 169, 233, 188, 252, 163, 227, 145, 209, 162, 226, 186, 250, 158, 222, 142, 206, 134, 198)(135, 199, 143, 207, 160, 224, 187, 251, 168, 232, 148, 212, 137, 201, 147, 211, 166, 230, 173, 237, 164, 228, 189, 253, 171, 235, 181, 245, 161, 225, 144, 208)(139, 203, 151, 215, 174, 238, 190, 254, 182, 246, 156, 220, 141, 205, 155, 219, 180, 244, 159, 223, 178, 242, 192, 256, 185, 249, 167, 231, 175, 239, 152, 216)
	L = (1, 130)(2, 129)(3, 135)(4, 137)(5, 139)(6, 141)(7, 131)(8, 145)(9, 132)(10, 149)(11, 133)(12, 153)(13, 134)(14, 157)(15, 159)(16, 152)(17, 136)(18, 164)(19, 155)(20, 167)(21, 138)(22, 171)(23, 173)(24, 144)(25, 140)(26, 178)(27, 147)(28, 181)(29, 142)(30, 185)(31, 143)(32, 176)(33, 183)(34, 174)(35, 180)(36, 146)(37, 179)(38, 177)(39, 148)(40, 184)(41, 175)(42, 182)(43, 150)(44, 186)(45, 151)(46, 162)(47, 169)(48, 160)(49, 166)(50, 154)(51, 165)(52, 163)(53, 156)(54, 170)(55, 161)(56, 168)(57, 158)(58, 172)(59, 190)(60, 191)(61, 192)(62, 187)(63, 188)(64, 189)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 2, 32, 2, 32 ), ( 2, 32, 2, 32, 2, 32, 2, 32, 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 E13.1140
Graph:: bipartite
	v = 36 e = 128 f = 68
	degree seq :: [ 4^32, 32^4 ]

E13.1140 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 16, 16})
Quotient :: dipole
Aut^+ = (C16 : C2) : C2 (small group id <64, 30>)
Aut   = $<128, 922>$ (small group id <128, 922>)
|r| :: 2
Presentation :: [ Y2, R^2, Y3^2, R * Y2 * R * Y2^-1, (R * Y1)^2, (R * Y3)^2, (Y3 * Y2^-1)^2, (Y3 * Y1 * Y3 * Y1^-1)^2, Y3 * Y1^2 * Y3 * Y1 * Y3 * Y1^-2 * Y3 * Y1^-1, Y1^-6 * Y3 * Y1^-2 * Y3 ]
Map::
	R = (1, 65, 2, 66, 5, 69, 11, 75, 23, 87, 45, 109, 36, 100, 57, 121, 64, 128, 59, 123, 32, 96, 54, 118, 44, 108, 22, 86, 10, 74, 4, 68)(3, 67, 7, 71, 15, 79, 31, 95, 46, 110, 42, 106, 21, 85, 41, 105, 52, 116, 26, 90, 12, 76, 25, 89, 49, 113, 37, 101, 18, 82, 8, 72)(6, 70, 13, 77, 27, 91, 53, 117, 40, 104, 20, 84, 9, 73, 19, 83, 38, 102, 48, 112, 24, 88, 47, 111, 43, 107, 58, 122, 30, 94, 14, 78)(16, 80, 33, 97, 50, 114, 63, 127, 60, 124, 35, 99, 17, 81, 34, 98, 51, 115, 28, 92, 55, 119, 62, 126, 61, 125, 39, 103, 56, 120, 29, 93)(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, 134)(3, 129)(4, 137)(5, 140)(6, 130)(7, 144)(8, 145)(9, 132)(10, 149)(11, 152)(12, 133)(13, 156)(14, 157)(15, 160)(16, 135)(17, 136)(18, 164)(19, 162)(20, 167)(21, 138)(22, 171)(23, 174)(24, 139)(25, 178)(26, 179)(27, 182)(28, 141)(29, 142)(30, 185)(31, 183)(32, 143)(33, 176)(34, 147)(35, 186)(36, 146)(37, 189)(38, 187)(39, 148)(40, 173)(41, 184)(42, 188)(43, 150)(44, 177)(45, 168)(46, 151)(47, 190)(48, 161)(49, 172)(50, 153)(51, 154)(52, 192)(53, 191)(54, 155)(55, 159)(56, 169)(57, 158)(58, 163)(59, 166)(60, 170)(61, 165)(62, 175)(63, 181)(64, 180)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4, 32 ), ( 4, 32, 4, 32, 4, 32, 4, 32, 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 E13.1139
Graph:: simple bipartite
	v = 68 e = 128 f = 36
	degree seq :: [ 2^64, 32^4 ]

E13.1141 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 16, 16})
Quotient :: regular
Aut^+ = (C16 x C2) : C2 (small group id <64, 31>)
Aut   = $<128, 924>$ (small group id <128, 924>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T2 * T1 * T2 * T1 * T2 * T1^-1 * T2 * T1^-1, T1^-4 * T2 * T1^-2 * T2 * T1^-2, T2 * T1^4 * T2 * T1^-4 ]
Map:: non-degenerate
	R = (1, 2, 5, 11, 23, 43, 35, 53, 62, 56, 32, 52, 42, 22, 10, 4)(3, 7, 15, 31, 44, 40, 21, 39, 50, 26, 12, 25, 47, 36, 18, 8)(6, 13, 27, 51, 38, 20, 9, 19, 37, 46, 24, 45, 41, 54, 30, 14)(16, 28, 48, 60, 58, 34, 17, 29, 49, 61, 55, 63, 59, 64, 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, 59)(37, 56)(38, 43)(39, 57)(40, 58)(42, 47)(45, 60)(46, 61)(50, 62)(51, 63)(54, 64)
	local type(s) :: { ( 16^16 ) }
Outer automorphisms :: reflexible
Dual of E13.1142
Transitivity :: ET+ VT+ AT+ REG+
Graph:: bipartite
	v = 4 e = 32 f = 4
	degree seq :: [ 16^4 ]

E13.1142 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 16, 16})
Quotient :: regular
Aut^+ = (C16 x C2) : C2 (small group id <64, 31>)
Aut   = $<128, 924>$ (small group id <128, 924>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T1^-1 * T2 * T1^2 * T2 * T1^-1, T2 * T1^-3 * T2 * T1^-3 * T2 * T1^-1 * T2 * T1^-1, T1^16 ]
Map:: non-degenerate
	R = (1, 2, 5, 11, 20, 32, 47, 59, 64, 63, 58, 46, 31, 19, 10, 4)(3, 7, 12, 22, 33, 49, 60, 54, 62, 53, 61, 52, 43, 28, 17, 8)(6, 13, 21, 34, 48, 41, 57, 40, 56, 39, 55, 45, 30, 18, 9, 14)(15, 25, 35, 51, 44, 29, 38, 24, 37, 23, 36, 50, 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, 49)(45, 51)(46, 55)(47, 60)(56, 63)(57, 59)(58, 61)(62, 64)
	local type(s) :: { ( 16^16 ) }
Outer automorphisms :: reflexible
Dual of E13.1141
Transitivity :: ET+ VT+ AT+ REG+
Graph:: bipartite
	v = 4 e = 32 f = 4
	degree seq :: [ 16^4 ]

E13.1143 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 16, 16})
Quotient :: edge
Aut^+ = (C16 x C2) : C2 (small group id <64, 31>)
Aut   = $<128, 924>$ (small group id <128, 924>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, T2 * T1 * T2 * T1 * T2^-1 * T1 * T2^-1 * T1, T2^-5 * T1 * T2^-2 * T1 * T2^-1, T2^-3 * T1 * T2^4 * T1 * T2^-1, (T2^-2 * T1 * T2^2 * T1)^2 ]
Map::
	R = (1, 3, 8, 18, 36, 52, 29, 51, 62, 46, 25, 45, 42, 22, 10, 4)(2, 5, 12, 26, 48, 40, 21, 39, 57, 34, 17, 33, 54, 30, 14, 6)(7, 15, 31, 55, 38, 20, 9, 19, 37, 59, 35, 58, 41, 56, 32, 16)(11, 23, 43, 60, 50, 28, 13, 27, 49, 64, 47, 63, 53, 61, 44, 24)(65, 66)(67, 71)(68, 73)(69, 75)(70, 77)(72, 81)(74, 85)(76, 89)(78, 93)(79, 87)(80, 91)(82, 99)(83, 88)(84, 92)(86, 105)(90, 111)(94, 117)(95, 109)(96, 115)(97, 107)(98, 113)(100, 112)(101, 110)(102, 116)(103, 108)(104, 114)(106, 118)(119, 127)(120, 125)(121, 126)(122, 124)(123, 128)
	L = (1, 65)(2, 66)(3, 67)(4, 68)(5, 69)(6, 70)(7, 71)(8, 72)(9, 73)(10, 74)(11, 75)(12, 76)(13, 77)(14, 78)(15, 79)(16, 80)(17, 81)(18, 82)(19, 83)(20, 84)(21, 85)(22, 86)(23, 87)(24, 88)(25, 89)(26, 90)(27, 91)(28, 92)(29, 93)(30, 94)(31, 95)(32, 96)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 32, 32 ), ( 32^16 ) }
Outer automorphisms :: reflexible
Dual of E13.1147
Transitivity :: ET+
Graph:: simple bipartite
	v = 36 e = 64 f = 4
	degree seq :: [ 2^32, 16^4 ]

E13.1144 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 16, 16})
Quotient :: edge
Aut^+ = (C16 x C2) : C2 (small group id <64, 31>)
Aut   = $<128, 924>$ (small group id <128, 924>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, T2^2 * T1 * T2^-2 * T1, T2 * T1 * T2^3 * T1 * T2 * T1 * T2 * T1 * T2^2, T2^16 ]
Map::
	R = (1, 3, 8, 17, 28, 43, 57, 60, 64, 59, 58, 46, 31, 19, 10, 4)(2, 5, 12, 22, 35, 51, 61, 56, 63, 55, 62, 54, 38, 24, 14, 6)(7, 15, 26, 41, 52, 36, 50, 34, 48, 32, 47, 45, 30, 18, 9, 16)(11, 20, 33, 49, 44, 29, 42, 27, 40, 25, 39, 53, 37, 23, 13, 21)(65, 66)(67, 71)(68, 73)(69, 75)(70, 77)(72, 76)(74, 78)(79, 89)(80, 91)(81, 90)(82, 93)(83, 94)(84, 96)(85, 98)(86, 97)(87, 100)(88, 101)(92, 99)(95, 102)(103, 118)(104, 119)(105, 117)(106, 120)(107, 116)(108, 115)(109, 113)(110, 111)(112, 123)(114, 124)(121, 125)(122, 126)(127, 128)
	L = (1, 65)(2, 66)(3, 67)(4, 68)(5, 69)(6, 70)(7, 71)(8, 72)(9, 73)(10, 74)(11, 75)(12, 76)(13, 77)(14, 78)(15, 79)(16, 80)(17, 81)(18, 82)(19, 83)(20, 84)(21, 85)(22, 86)(23, 87)(24, 88)(25, 89)(26, 90)(27, 91)(28, 92)(29, 93)(30, 94)(31, 95)(32, 96)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 32, 32 ), ( 32^16 ) }
Outer automorphisms :: reflexible
Dual of E13.1146
Transitivity :: ET+
Graph:: simple bipartite
	v = 36 e = 64 f = 4
	degree seq :: [ 2^32, 16^4 ]

E13.1145 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 16, 16})
Quotient :: edge
Aut^+ = (C16 x C2) : C2 (small group id <64, 31>)
Aut   = $<128, 924>$ (small group id <128, 924>)
|r| :: 2
Presentation :: [ F^2, (T2^-1 * T1^-1)^2, (F * T2)^2, (F * T1)^2, T1^-1 * T2^2 * T1 * T2^-2, T2^2 * T1^-1 * T2^2 * T1^-3, T2^16, T1^16 ]
Map:: polytopal non-degenerate
	R = (1, 3, 10, 25, 34, 52, 62, 54, 63, 56, 64, 57, 44, 21, 15, 5)(2, 7, 19, 11, 27, 48, 60, 45, 59, 50, 61, 51, 31, 39, 22, 8)(4, 12, 26, 36, 16, 35, 53, 38, 55, 42, 58, 43, 33, 14, 24, 9)(6, 17, 37, 20, 41, 28, 49, 32, 47, 23, 46, 29, 13, 30, 40, 18)(65, 66, 70, 80, 98, 91, 105, 119, 127, 123, 111, 97, 108, 95, 77, 68)(67, 73, 87, 109, 116, 100, 94, 115, 120, 102, 81, 72, 85, 107, 92, 75)(69, 78, 96, 112, 89, 76, 93, 114, 118, 99, 82, 103, 121, 106, 84, 71)(74, 83, 101, 117, 126, 124, 113, 122, 128, 125, 110, 88, 79, 86, 104, 90)
	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) :: { ( 4^16 ) }
Outer automorphisms :: reflexible
Dual of E13.1148
Transitivity :: ET+
Graph:: bipartite
	v = 8 e = 64 f = 32
	degree seq :: [ 16^8 ]

E13.1146 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 16, 16})
Quotient :: loop
Aut^+ = (C16 x C2) : C2 (small group id <64, 31>)
Aut   = $<128, 924>$ (small group id <128, 924>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, T2 * T1 * T2 * T1 * T2^-1 * T1 * T2^-1 * T1, T2^-5 * T1 * T2^-2 * T1 * T2^-1, T2^-3 * T1 * T2^4 * T1 * T2^-1, (T2^-2 * T1 * T2^2 * T1)^2 ]
Map::
	R = (1, 65, 3, 67, 8, 72, 18, 82, 36, 100, 52, 116, 29, 93, 51, 115, 62, 126, 46, 110, 25, 89, 45, 109, 42, 106, 22, 86, 10, 74, 4, 68)(2, 66, 5, 69, 12, 76, 26, 90, 48, 112, 40, 104, 21, 85, 39, 103, 57, 121, 34, 98, 17, 81, 33, 97, 54, 118, 30, 94, 14, 78, 6, 70)(7, 71, 15, 79, 31, 95, 55, 119, 38, 102, 20, 84, 9, 73, 19, 83, 37, 101, 59, 123, 35, 99, 58, 122, 41, 105, 56, 120, 32, 96, 16, 80)(11, 75, 23, 87, 43, 107, 60, 124, 50, 114, 28, 92, 13, 77, 27, 91, 49, 113, 64, 128, 47, 111, 63, 127, 53, 117, 61, 125, 44, 108, 24, 88)
	L = (1, 66)(2, 65)(3, 71)(4, 73)(5, 75)(6, 77)(7, 67)(8, 81)(9, 68)(10, 85)(11, 69)(12, 89)(13, 70)(14, 93)(15, 87)(16, 91)(17, 72)(18, 99)(19, 88)(20, 92)(21, 74)(22, 105)(23, 79)(24, 83)(25, 76)(26, 111)(27, 80)(28, 84)(29, 78)(30, 117)(31, 109)(32, 115)(33, 107)(34, 113)(35, 82)(36, 112)(37, 110)(38, 116)(39, 108)(40, 114)(41, 86)(42, 118)(43, 97)(44, 103)(45, 95)(46, 101)(47, 90)(48, 100)(49, 98)(50, 104)(51, 96)(52, 102)(53, 94)(54, 106)(55, 127)(56, 125)(57, 126)(58, 124)(59, 128)(60, 122)(61, 120)(62, 121)(63, 119)(64, 123)
	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 E13.1144
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 4 e = 64 f = 36
	degree seq :: [ 32^4 ]

E13.1147 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 16, 16})
Quotient :: loop
Aut^+ = (C16 x C2) : C2 (small group id <64, 31>)
Aut   = $<128, 924>$ (small group id <128, 924>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, T2^2 * T1 * T2^-2 * T1, T2 * T1 * T2^3 * T1 * T2 * T1 * T2 * T1 * T2^2, T2^16 ]
Map::
	R = (1, 65, 3, 67, 8, 72, 17, 81, 28, 92, 43, 107, 57, 121, 60, 124, 64, 128, 59, 123, 58, 122, 46, 110, 31, 95, 19, 83, 10, 74, 4, 68)(2, 66, 5, 69, 12, 76, 22, 86, 35, 99, 51, 115, 61, 125, 56, 120, 63, 127, 55, 119, 62, 126, 54, 118, 38, 102, 24, 88, 14, 78, 6, 70)(7, 71, 15, 79, 26, 90, 41, 105, 52, 116, 36, 100, 50, 114, 34, 98, 48, 112, 32, 96, 47, 111, 45, 109, 30, 94, 18, 82, 9, 73, 16, 80)(11, 75, 20, 84, 33, 97, 49, 113, 44, 108, 29, 93, 42, 106, 27, 91, 40, 104, 25, 89, 39, 103, 53, 117, 37, 101, 23, 87, 13, 77, 21, 85)
	L = (1, 66)(2, 65)(3, 71)(4, 73)(5, 75)(6, 77)(7, 67)(8, 76)(9, 68)(10, 78)(11, 69)(12, 72)(13, 70)(14, 74)(15, 89)(16, 91)(17, 90)(18, 93)(19, 94)(20, 96)(21, 98)(22, 97)(23, 100)(24, 101)(25, 79)(26, 81)(27, 80)(28, 99)(29, 82)(30, 83)(31, 102)(32, 84)(33, 86)(34, 85)(35, 92)(36, 87)(37, 88)(38, 95)(39, 118)(40, 119)(41, 117)(42, 120)(43, 116)(44, 115)(45, 113)(46, 111)(47, 110)(48, 123)(49, 109)(50, 124)(51, 108)(52, 107)(53, 105)(54, 103)(55, 104)(56, 106)(57, 125)(58, 126)(59, 112)(60, 114)(61, 121)(62, 122)(63, 128)(64, 127)
	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 E13.1143
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 4 e = 64 f = 36
	degree seq :: [ 32^4 ]

E13.1148 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 16, 16})
Quotient :: loop
Aut^+ = (C16 x C2) : C2 (small group id <64, 31>)
Aut   = $<128, 924>$ (small group id <128, 924>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T2 * T1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1, T1^-4 * T2 * T1^-2 * T2 * T1^-2, T2 * T1^4 * T2 * T1^-4 ]
Map:: polytopal non-degenerate
	R = (1, 65, 3, 67)(2, 66, 6, 70)(4, 68, 9, 73)(5, 69, 12, 76)(7, 71, 16, 80)(8, 72, 17, 81)(10, 74, 21, 85)(11, 75, 24, 88)(13, 77, 28, 92)(14, 78, 29, 93)(15, 79, 32, 96)(18, 82, 35, 99)(19, 83, 33, 97)(20, 84, 34, 98)(22, 86, 41, 105)(23, 87, 44, 108)(25, 89, 48, 112)(26, 90, 49, 113)(27, 91, 52, 116)(30, 94, 53, 117)(31, 95, 55, 119)(36, 100, 59, 123)(37, 101, 56, 120)(38, 102, 43, 107)(39, 103, 57, 121)(40, 104, 58, 122)(42, 106, 47, 111)(45, 109, 60, 124)(46, 110, 61, 125)(50, 114, 62, 126)(51, 115, 63, 127)(54, 118, 64, 128)
	L = (1, 66)(2, 69)(3, 71)(4, 65)(5, 75)(6, 77)(7, 79)(8, 67)(9, 83)(10, 68)(11, 87)(12, 89)(13, 91)(14, 70)(15, 95)(16, 92)(17, 93)(18, 72)(19, 101)(20, 73)(21, 103)(22, 74)(23, 107)(24, 109)(25, 111)(26, 76)(27, 115)(28, 112)(29, 113)(30, 78)(31, 108)(32, 116)(33, 80)(34, 81)(35, 117)(36, 82)(37, 110)(38, 84)(39, 114)(40, 85)(41, 118)(42, 86)(43, 99)(44, 104)(45, 105)(46, 88)(47, 100)(48, 124)(49, 125)(50, 90)(51, 102)(52, 106)(53, 126)(54, 94)(55, 127)(56, 96)(57, 97)(58, 98)(59, 128)(60, 122)(61, 119)(62, 120)(63, 123)(64, 121)
	local type(s) :: { ( 16^4 ) }
Outer automorphisms :: reflexible
Dual of E13.1145
Transitivity :: ET+ VT+ AT
Graph:: simple bipartite
	v = 32 e = 64 f = 8
	degree seq :: [ 4^32 ]

E13.1149 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 16, 16})
Quotient :: dipole
Aut^+ = (C16 x C2) : C2 (small group id <64, 31>)
Aut   = $<128, 924>$ (small group id <128, 924>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, (Y2^-1 * R * Y1 * Y2^-1)^2, Y2 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2 * Y1, Y2^-5 * R * Y2^2 * R * Y2^-1, (Y2^-1 * R * Y2^-3)^2, Y2^-1 * Y1 * Y2^4 * Y1 * Y2^-3, (Y2^-2 * Y1 * Y2^2 * Y1)^2, (Y3 * Y2^-1)^16 ]
Map::
	R = (1, 65, 2, 66)(3, 67, 7, 71)(4, 68, 9, 73)(5, 69, 11, 75)(6, 70, 13, 77)(8, 72, 17, 81)(10, 74, 21, 85)(12, 76, 25, 89)(14, 78, 29, 93)(15, 79, 23, 87)(16, 80, 27, 91)(18, 82, 35, 99)(19, 83, 24, 88)(20, 84, 28, 92)(22, 86, 41, 105)(26, 90, 47, 111)(30, 94, 53, 117)(31, 95, 45, 109)(32, 96, 51, 115)(33, 97, 43, 107)(34, 98, 49, 113)(36, 100, 48, 112)(37, 101, 46, 110)(38, 102, 52, 116)(39, 103, 44, 108)(40, 104, 50, 114)(42, 106, 54, 118)(55, 119, 63, 127)(56, 120, 61, 125)(57, 121, 62, 126)(58, 122, 60, 124)(59, 123, 64, 128)(129, 193, 131, 195, 136, 200, 146, 210, 164, 228, 180, 244, 157, 221, 179, 243, 190, 254, 174, 238, 153, 217, 173, 237, 170, 234, 150, 214, 138, 202, 132, 196)(130, 194, 133, 197, 140, 204, 154, 218, 176, 240, 168, 232, 149, 213, 167, 231, 185, 249, 162, 226, 145, 209, 161, 225, 182, 246, 158, 222, 142, 206, 134, 198)(135, 199, 143, 207, 159, 223, 183, 247, 166, 230, 148, 212, 137, 201, 147, 211, 165, 229, 187, 251, 163, 227, 186, 250, 169, 233, 184, 248, 160, 224, 144, 208)(139, 203, 151, 215, 171, 235, 188, 252, 178, 242, 156, 220, 141, 205, 155, 219, 177, 241, 192, 256, 175, 239, 191, 255, 181, 245, 189, 253, 172, 236, 152, 216)
	L = (1, 130)(2, 129)(3, 135)(4, 137)(5, 139)(6, 141)(7, 131)(8, 145)(9, 132)(10, 149)(11, 133)(12, 153)(13, 134)(14, 157)(15, 151)(16, 155)(17, 136)(18, 163)(19, 152)(20, 156)(21, 138)(22, 169)(23, 143)(24, 147)(25, 140)(26, 175)(27, 144)(28, 148)(29, 142)(30, 181)(31, 173)(32, 179)(33, 171)(34, 177)(35, 146)(36, 176)(37, 174)(38, 180)(39, 172)(40, 178)(41, 150)(42, 182)(43, 161)(44, 167)(45, 159)(46, 165)(47, 154)(48, 164)(49, 162)(50, 168)(51, 160)(52, 166)(53, 158)(54, 170)(55, 191)(56, 189)(57, 190)(58, 188)(59, 192)(60, 186)(61, 184)(62, 185)(63, 183)(64, 187)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 2, 32, 2, 32 ), ( 2, 32, 2, 32, 2, 32, 2, 32, 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 E13.1153
Graph:: bipartite
	v = 36 e = 128 f = 68
	degree seq :: [ 4^32, 32^4 ]

E13.1150 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 16, 16})
Quotient :: dipole
Aut^+ = (C16 x C2) : C2 (small group id <64, 31>)
Aut   = $<128, 924>$ (small group id <128, 924>)
|r| :: 2
Presentation :: [ Y1^2, 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^-1 * R * Y2^-1)^2, Y2 * Y1 * Y2^3 * Y1 * Y2^3 * Y1 * Y2 * Y1, Y2^16, (Y3 * Y2^-1)^16 ]
Map::
	R = (1, 65, 2, 66)(3, 67, 7, 71)(4, 68, 9, 73)(5, 69, 11, 75)(6, 70, 13, 77)(8, 72, 12, 76)(10, 74, 14, 78)(15, 79, 25, 89)(16, 80, 27, 91)(17, 81, 26, 90)(18, 82, 29, 93)(19, 83, 30, 94)(20, 84, 32, 96)(21, 85, 34, 98)(22, 86, 33, 97)(23, 87, 36, 100)(24, 88, 37, 101)(28, 92, 35, 99)(31, 95, 38, 102)(39, 103, 54, 118)(40, 104, 55, 119)(41, 105, 53, 117)(42, 106, 56, 120)(43, 107, 52, 116)(44, 108, 51, 115)(45, 109, 49, 113)(46, 110, 47, 111)(48, 112, 59, 123)(50, 114, 60, 124)(57, 121, 61, 125)(58, 122, 62, 126)(63, 127, 64, 128)(129, 193, 131, 195, 136, 200, 145, 209, 156, 220, 171, 235, 185, 249, 188, 252, 192, 256, 187, 251, 186, 250, 174, 238, 159, 223, 147, 211, 138, 202, 132, 196)(130, 194, 133, 197, 140, 204, 150, 214, 163, 227, 179, 243, 189, 253, 184, 248, 191, 255, 183, 247, 190, 254, 182, 246, 166, 230, 152, 216, 142, 206, 134, 198)(135, 199, 143, 207, 154, 218, 169, 233, 180, 244, 164, 228, 178, 242, 162, 226, 176, 240, 160, 224, 175, 239, 173, 237, 158, 222, 146, 210, 137, 201, 144, 208)(139, 203, 148, 212, 161, 225, 177, 241, 172, 236, 157, 221, 170, 234, 155, 219, 168, 232, 153, 217, 167, 231, 181, 245, 165, 229, 151, 215, 141, 205, 149, 213)
	L = (1, 130)(2, 129)(3, 135)(4, 137)(5, 139)(6, 141)(7, 131)(8, 140)(9, 132)(10, 142)(11, 133)(12, 136)(13, 134)(14, 138)(15, 153)(16, 155)(17, 154)(18, 157)(19, 158)(20, 160)(21, 162)(22, 161)(23, 164)(24, 165)(25, 143)(26, 145)(27, 144)(28, 163)(29, 146)(30, 147)(31, 166)(32, 148)(33, 150)(34, 149)(35, 156)(36, 151)(37, 152)(38, 159)(39, 182)(40, 183)(41, 181)(42, 184)(43, 180)(44, 179)(45, 177)(46, 175)(47, 174)(48, 187)(49, 173)(50, 188)(51, 172)(52, 171)(53, 169)(54, 167)(55, 168)(56, 170)(57, 189)(58, 190)(59, 176)(60, 178)(61, 185)(62, 186)(63, 192)(64, 191)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 2, 32, 2, 32 ), ( 2, 32, 2, 32, 2, 32, 2, 32, 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 E13.1154
Graph:: bipartite
	v = 36 e = 128 f = 68
	degree seq :: [ 4^32, 32^4 ]

E13.1151 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 16, 16})
Quotient :: dipole
Aut^+ = (C16 x C2) : C2 (small group id <64, 31>)
Aut   = $<128, 924>$ (small group id <128, 924>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, (Y2 * Y1)^2, (Y1 * Y2)^2, (R * Y3)^2, (Y3^-1 * Y1^-1)^2, (R * Y1)^2, Y2 * Y1^3 * Y2 * Y1^-1, Y1^-3 * Y2^4 * Y1^-1, Y2^-1 * Y1 * Y2^-2 * Y1 * Y2^-2 * Y1 * Y2^-2 * Y1 * Y2^-2 * Y1 * Y2^-1 * Y1 ]
Map::
	R = (1, 65, 2, 66, 6, 70, 16, 80, 34, 98, 52, 116, 62, 126, 61, 125, 64, 128, 60, 124, 63, 127, 59, 123, 49, 113, 27, 91, 13, 77, 4, 68)(3, 67, 9, 73, 17, 81, 8, 72, 21, 85, 35, 99, 53, 117, 40, 104, 56, 120, 50, 114, 55, 119, 51, 115, 33, 97, 48, 112, 28, 92, 11, 75)(5, 69, 14, 78, 18, 82, 37, 101, 25, 89, 47, 111, 54, 118, 46, 110, 57, 121, 45, 109, 58, 122, 44, 108, 30, 94, 12, 76, 20, 84, 7, 71)(10, 74, 24, 88, 36, 100, 23, 87, 42, 106, 22, 86, 43, 107, 29, 93, 41, 105, 19, 83, 39, 103, 31, 95, 15, 79, 32, 96, 38, 102, 26, 90)(129, 193, 131, 195, 138, 202, 153, 217, 162, 226, 149, 213, 170, 234, 185, 249, 192, 256, 184, 248, 169, 233, 158, 222, 177, 241, 161, 225, 143, 207, 133, 197)(130, 194, 135, 199, 147, 211, 168, 232, 180, 244, 165, 229, 160, 224, 179, 243, 188, 252, 174, 238, 152, 216, 139, 203, 155, 219, 172, 236, 150, 214, 136, 200)(132, 196, 140, 204, 157, 221, 163, 227, 144, 208, 142, 206, 159, 223, 178, 242, 189, 253, 175, 239, 154, 218, 176, 240, 187, 251, 173, 237, 151, 215, 137, 201)(134, 198, 145, 209, 164, 228, 182, 246, 190, 254, 181, 245, 171, 235, 186, 250, 191, 255, 183, 247, 167, 231, 148, 212, 141, 205, 156, 220, 166, 230, 146, 210)
	L = (1, 131)(2, 135)(3, 138)(4, 140)(5, 129)(6, 145)(7, 147)(8, 130)(9, 132)(10, 153)(11, 155)(12, 157)(13, 156)(14, 159)(15, 133)(16, 142)(17, 164)(18, 134)(19, 168)(20, 141)(21, 170)(22, 136)(23, 137)(24, 139)(25, 162)(26, 176)(27, 172)(28, 166)(29, 163)(30, 177)(31, 178)(32, 179)(33, 143)(34, 149)(35, 144)(36, 182)(37, 160)(38, 146)(39, 148)(40, 180)(41, 158)(42, 185)(43, 186)(44, 150)(45, 151)(46, 152)(47, 154)(48, 187)(49, 161)(50, 189)(51, 188)(52, 165)(53, 171)(54, 190)(55, 167)(56, 169)(57, 192)(58, 191)(59, 173)(60, 174)(61, 175)(62, 181)(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) :: { ( 2, 4, 2, 4, 2, 4, 2, 4, 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 E13.1152
Graph:: bipartite
	v = 8 e = 128 f = 96
	degree seq :: [ 32^8 ]

E13.1152 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 16, 16})
Quotient :: dipole
Aut^+ = (C16 x C2) : C2 (small group id <64, 31>)
Aut   = $<128, 924>$ (small group id <128, 924>)
|r| :: 2
Presentation :: [ Y1, Y2^2, R^2, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y3^-1 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3^-1 * Y2, Y3^-5 * Y2 * Y3^-2 * Y2 * Y3^-1, (Y3^2 * Y2 * Y3^-2 * Y2)^2, (Y3^-1 * Y1^-1)^16 ]
Map:: polytopal
	R = (1, 65)(2, 66)(3, 67)(4, 68)(5, 69)(6, 70)(7, 71)(8, 72)(9, 73)(10, 74)(11, 75)(12, 76)(13, 77)(14, 78)(15, 79)(16, 80)(17, 81)(18, 82)(19, 83)(20, 84)(21, 85)(22, 86)(23, 87)(24, 88)(25, 89)(26, 90)(27, 91)(28, 92)(29, 93)(30, 94)(31, 95)(32, 96)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)(129, 193, 130, 194)(131, 195, 135, 199)(132, 196, 137, 201)(133, 197, 139, 203)(134, 198, 141, 205)(136, 200, 145, 209)(138, 202, 149, 213)(140, 204, 153, 217)(142, 206, 157, 221)(143, 207, 151, 215)(144, 208, 155, 219)(146, 210, 163, 227)(147, 211, 152, 216)(148, 212, 156, 220)(150, 214, 169, 233)(154, 218, 175, 239)(158, 222, 181, 245)(159, 223, 173, 237)(160, 224, 179, 243)(161, 225, 171, 235)(162, 226, 177, 241)(164, 228, 176, 240)(165, 229, 174, 238)(166, 230, 180, 244)(167, 231, 172, 236)(168, 232, 178, 242)(170, 234, 182, 246)(183, 247, 191, 255)(184, 248, 189, 253)(185, 249, 190, 254)(186, 250, 188, 252)(187, 251, 192, 256)
	L = (1, 131)(2, 133)(3, 136)(4, 129)(5, 140)(6, 130)(7, 143)(8, 146)(9, 147)(10, 132)(11, 151)(12, 154)(13, 155)(14, 134)(15, 159)(16, 135)(17, 161)(18, 164)(19, 165)(20, 137)(21, 167)(22, 138)(23, 171)(24, 139)(25, 173)(26, 176)(27, 177)(28, 141)(29, 179)(30, 142)(31, 183)(32, 144)(33, 182)(34, 145)(35, 186)(36, 180)(37, 187)(38, 148)(39, 185)(40, 149)(41, 184)(42, 150)(43, 188)(44, 152)(45, 170)(46, 153)(47, 191)(48, 168)(49, 192)(50, 156)(51, 190)(52, 157)(53, 189)(54, 158)(55, 166)(56, 160)(57, 162)(58, 169)(59, 163)(60, 178)(61, 172)(62, 174)(63, 181)(64, 175)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 32, 32 ), ( 32^4 ) }
Outer automorphisms :: reflexible
Dual of E13.1151
Graph:: simple bipartite
	v = 96 e = 128 f = 8
	degree seq :: [ 2^64, 4^32 ]

E13.1153 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 16, 16})
Quotient :: dipole
Aut^+ = (C16 x C2) : C2 (small group id <64, 31>)
Aut   = $<128, 924>$ (small group id <128, 924>)
|r| :: 2
Presentation :: [ Y2, R^2, Y3^2, R * Y2 * R * Y2^-1, (R * Y1)^2, (R * Y3)^2, (Y3 * Y2^-1)^2, Y1^-2 * Y3 * Y1^2 * Y3, Y1^-3 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-3 * Y3, Y1^16 ]
Map::
	R = (1, 65, 2, 66, 5, 69, 11, 75, 20, 84, 32, 96, 47, 111, 59, 123, 64, 128, 63, 127, 58, 122, 46, 110, 31, 95, 19, 83, 10, 74, 4, 68)(3, 67, 7, 71, 12, 76, 22, 86, 33, 97, 49, 113, 60, 124, 54, 118, 62, 126, 53, 117, 61, 125, 52, 116, 43, 107, 28, 92, 17, 81, 8, 72)(6, 70, 13, 77, 21, 85, 34, 98, 48, 112, 41, 105, 57, 121, 40, 104, 56, 120, 39, 103, 55, 119, 45, 109, 30, 94, 18, 82, 9, 73, 14, 78)(15, 79, 25, 89, 35, 99, 51, 115, 44, 108, 29, 93, 38, 102, 24, 88, 37, 101, 23, 87, 36, 100, 50, 114, 42, 106, 27, 91, 16, 80, 26, 90)(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, 134)(3, 129)(4, 137)(5, 140)(6, 130)(7, 143)(8, 144)(9, 132)(10, 145)(11, 149)(12, 133)(13, 151)(14, 152)(15, 135)(16, 136)(17, 138)(18, 157)(19, 158)(20, 161)(21, 139)(22, 163)(23, 141)(24, 142)(25, 167)(26, 168)(27, 169)(28, 170)(29, 146)(30, 147)(31, 171)(32, 176)(33, 148)(34, 178)(35, 150)(36, 180)(37, 181)(38, 182)(39, 153)(40, 154)(41, 155)(42, 156)(43, 159)(44, 177)(45, 179)(46, 183)(47, 188)(48, 160)(49, 172)(50, 162)(51, 173)(52, 164)(53, 165)(54, 166)(55, 174)(56, 191)(57, 187)(58, 189)(59, 185)(60, 175)(61, 186)(62, 192)(63, 184)(64, 190)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4, 32 ), ( 4, 32, 4, 32, 4, 32, 4, 32, 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 E13.1149
Graph:: simple bipartite
	v = 68 e = 128 f = 36
	degree seq :: [ 2^64, 32^4 ]

E13.1154 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 16, 16})
Quotient :: dipole
Aut^+ = (C16 x C2) : C2 (small group id <64, 31>)
Aut   = $<128, 924>$ (small group id <128, 924>)
|r| :: 2
Presentation :: [ Y2, R^2, Y3^2, R * Y2 * R * Y2^-1, (R * Y3)^2, (R * Y1)^2, (Y3 * Y2^-1)^2, Y3 * Y1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1, Y1^-4 * Y3 * Y1^-2 * Y3 * Y1^-2, Y1^-1 * Y3 * Y1^4 * Y3 * Y1^-3 ]
Map::
	R = (1, 65, 2, 66, 5, 69, 11, 75, 23, 87, 43, 107, 35, 99, 53, 117, 62, 126, 56, 120, 32, 96, 52, 116, 42, 106, 22, 86, 10, 74, 4, 68)(3, 67, 7, 71, 15, 79, 31, 95, 44, 108, 40, 104, 21, 85, 39, 103, 50, 114, 26, 90, 12, 76, 25, 89, 47, 111, 36, 100, 18, 82, 8, 72)(6, 70, 13, 77, 27, 91, 51, 115, 38, 102, 20, 84, 9, 73, 19, 83, 37, 101, 46, 110, 24, 88, 45, 109, 41, 105, 54, 118, 30, 94, 14, 78)(16, 80, 28, 92, 48, 112, 60, 124, 58, 122, 34, 98, 17, 81, 29, 93, 49, 113, 61, 125, 55, 119, 63, 127, 59, 123, 64, 128, 57, 121, 33, 97)(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, 134)(3, 129)(4, 137)(5, 140)(6, 130)(7, 144)(8, 145)(9, 132)(10, 149)(11, 152)(12, 133)(13, 156)(14, 157)(15, 160)(16, 135)(17, 136)(18, 163)(19, 161)(20, 162)(21, 138)(22, 169)(23, 172)(24, 139)(25, 176)(26, 177)(27, 180)(28, 141)(29, 142)(30, 181)(31, 183)(32, 143)(33, 147)(34, 148)(35, 146)(36, 187)(37, 184)(38, 171)(39, 185)(40, 186)(41, 150)(42, 175)(43, 166)(44, 151)(45, 188)(46, 189)(47, 170)(48, 153)(49, 154)(50, 190)(51, 191)(52, 155)(53, 158)(54, 192)(55, 159)(56, 165)(57, 167)(58, 168)(59, 164)(60, 173)(61, 174)(62, 178)(63, 179)(64, 182)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4, 32 ), ( 4, 32, 4, 32, 4, 32, 4, 32, 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 E13.1150
Graph:: simple bipartite
	v = 68 e = 128 f = 36
	degree seq :: [ 2^64, 32^4 ]

E13.1155 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 3, 3})
Quotient :: halfedge^2
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, Y1^3, R * Y3 * R * Y2, (R * Y1)^2, Y2 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y2 * Y1^-1, Y2 * Y1 * Y2 * Y3 * Y1 * Y3 * Y1, Y1^-1 * Y2 * Y1^-1 * Y2 * Y1 * Y3 * Y1 * Y3, Y1^-1 * Y2 * Y3 * Y2 * Y3 * Y2 * Y1 * Y3, Y1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y2 * Y1 * Y2, Y3 * Y2 * Y3 * Y1 * Y2 * Y3 * Y2 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 74, 2, 77, 5, 73)(3, 80, 8, 82, 10, 75)(4, 83, 11, 85, 13, 76)(6, 88, 16, 90, 18, 78)(7, 91, 19, 93, 21, 79)(9, 96, 24, 98, 26, 81)(12, 103, 31, 105, 33, 84)(14, 108, 36, 110, 38, 86)(15, 111, 39, 113, 41, 87)(17, 100, 28, 116, 44, 89)(20, 120, 48, 122, 50, 92)(22, 119, 47, 117, 45, 94)(23, 114, 42, 125, 53, 95)(25, 127, 55, 128, 56, 97)(27, 124, 52, 102, 30, 99)(29, 112, 40, 133, 61, 101)(32, 115, 43, 129, 57, 104)(34, 123, 51, 137, 65, 106)(35, 138, 66, 139, 67, 107)(37, 118, 46, 140, 68, 109)(49, 136, 64, 141, 69, 121)(54, 132, 60, 144, 72, 126)(58, 142, 70, 134, 62, 130)(59, 143, 71, 135, 63, 131)
	L = (1, 3)(2, 6)(4, 12)(5, 14)(7, 20)(8, 22)(9, 25)(10, 27)(11, 29)(13, 34)(15, 40)(16, 35)(17, 43)(18, 45)(19, 33)(21, 51)(23, 49)(24, 54)(26, 57)(28, 60)(30, 62)(31, 63)(32, 53)(36, 52)(37, 64)(38, 67)(39, 50)(41, 65)(42, 56)(44, 69)(46, 72)(47, 58)(48, 59)(55, 68)(61, 71)(66, 70)(73, 76)(74, 79)(75, 81)(77, 87)(78, 89)(80, 95)(82, 100)(83, 102)(84, 104)(85, 107)(86, 109)(88, 114)(90, 118)(91, 119)(92, 121)(93, 124)(94, 113)(96, 110)(97, 123)(98, 130)(99, 131)(101, 126)(103, 127)(105, 132)(106, 136)(108, 125)(111, 138)(112, 128)(115, 137)(116, 142)(117, 143)(120, 129)(122, 144)(133, 141)(134, 140)(135, 139)
	local type(s) :: { ( 6^6 ) }
Outer automorphisms :: reflexible
Dual of E13.1160
Transitivity :: VT+ AT
Graph:: simple bipartite
	v = 24 e = 72 f = 24
	degree seq :: [ 6^24 ]

E13.1156 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 3, 3})
Quotient :: halfedge^2
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, Y3 * Y2, Y1^3, (R * Y1)^2, R * Y3 * R * Y2, (Y2 * Y1 * Y2 * Y1^-1)^3, Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 ]
Map::
	R = (1, 74, 2, 76, 4, 73)(3, 78, 6, 79, 7, 75)(5, 81, 9, 82, 10, 77)(8, 85, 13, 86, 14, 80)(11, 89, 17, 90, 18, 83)(12, 91, 19, 92, 20, 84)(15, 95, 23, 96, 24, 87)(16, 97, 25, 98, 26, 88)(21, 103, 31, 104, 32, 93)(22, 105, 33, 106, 34, 94)(27, 111, 39, 112, 40, 99)(28, 109, 37, 113, 41, 100)(29, 114, 42, 115, 43, 101)(30, 116, 44, 117, 45, 102)(35, 121, 49, 122, 50, 107)(36, 119, 47, 123, 51, 108)(38, 124, 52, 125, 53, 110)(46, 132, 60, 133, 61, 118)(48, 134, 62, 135, 63, 120)(54, 136, 64, 141, 69, 126)(55, 130, 58, 138, 66, 127)(56, 142, 70, 143, 71, 128)(57, 137, 65, 139, 67, 129)(59, 140, 68, 144, 72, 131)
	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, 69)(61, 70)(62, 71)(63, 72)(73, 75)(74, 77)(76, 80)(78, 83)(79, 84)(81, 87)(82, 88)(85, 93)(86, 94)(89, 99)(90, 100)(91, 101)(92, 102)(95, 107)(96, 108)(97, 109)(98, 110)(103, 118)(104, 115)(105, 119)(106, 120)(111, 126)(112, 127)(113, 128)(114, 129)(116, 130)(117, 131)(121, 136)(122, 137)(123, 138)(124, 139)(125, 140)(132, 141)(133, 142)(134, 143)(135, 144)
	local type(s) :: { ( 6^6 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+ AT
Graph:: bipartite
	v = 24 e = 72 f = 24
	degree seq :: [ 6^24 ]

E13.1157 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 3, 3})
Quotient :: halfedge^2
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, Y1^3, R * Y3 * R * Y2, (R * Y1)^2, (Y3 * Y2)^2, Y3 * Y1^-1 * Y2 * Y1 * Y2 * Y1 * Y3 * Y1^-1, Y2 * Y1^-1 * Y3 * Y1 * Y2 * Y1 * Y2 * Y1^-1, Y3 * Y1 * Y3 * Y1 * Y2 * Y1^-1 * Y3 * Y1^-1, (Y1 * Y3 * Y2)^3, (Y1^-1 * Y3 * Y2)^3 ]
Map:: polytopal non-degenerate
	R = (1, 74, 2, 77, 5, 73)(3, 80, 8, 82, 10, 75)(4, 83, 11, 84, 12, 76)(6, 87, 15, 89, 17, 78)(7, 90, 18, 91, 19, 79)(9, 94, 22, 95, 23, 81)(13, 102, 30, 104, 32, 85)(14, 105, 33, 106, 34, 86)(16, 109, 37, 110, 38, 88)(20, 114, 42, 118, 46, 92)(21, 108, 36, 119, 47, 93)(24, 116, 44, 125, 53, 96)(25, 111, 39, 126, 54, 97)(26, 107, 35, 128, 56, 98)(27, 113, 41, 129, 57, 99)(28, 115, 43, 131, 59, 100)(29, 112, 40, 132, 60, 101)(31, 133, 61, 134, 62, 103)(45, 130, 58, 136, 64, 117)(48, 139, 67, 138, 66, 120)(49, 135, 63, 140, 68, 121)(50, 142, 70, 143, 71, 122)(51, 141, 69, 144, 72, 123)(52, 137, 65, 127, 55, 124)
	L = (1, 3)(2, 6)(4, 9)(5, 13)(7, 16)(8, 20)(10, 24)(11, 26)(12, 28)(14, 31)(15, 35)(17, 39)(18, 41)(19, 43)(21, 45)(22, 48)(23, 50)(25, 52)(27, 55)(29, 58)(30, 57)(32, 60)(33, 46)(34, 59)(36, 63)(37, 51)(38, 64)(40, 66)(42, 67)(44, 68)(47, 70)(49, 62)(53, 72)(54, 71)(56, 69)(61, 65)(73, 76)(74, 79)(75, 81)(77, 86)(78, 88)(80, 93)(82, 97)(83, 99)(84, 101)(85, 103)(87, 108)(89, 112)(90, 114)(91, 116)(92, 117)(94, 121)(95, 123)(96, 124)(98, 127)(100, 130)(102, 119)(104, 125)(105, 128)(106, 126)(107, 135)(109, 122)(110, 137)(111, 138)(113, 139)(115, 140)(118, 141)(120, 134)(129, 142)(131, 143)(132, 144)(133, 136)
	local type(s) :: { ( 6^6 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+ AT
Graph:: simple bipartite
	v = 24 e = 72 f = 24
	degree seq :: [ 6^24 ]

E13.1158 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 3, 3})
Quotient :: halfedge^2
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, Y1^3, R * Y3 * R * Y2, (R * Y1)^2, (Y3 * Y2)^2, Y3 * Y1^-1 * Y2 * Y1 * Y3 * Y1 * Y3 * Y1^-1, Y3 * Y1 * Y2 * Y1 * Y2 * Y1^-1 * Y3 * Y1^-1, Y2 * Y1 * Y2 * Y1 * Y3 * Y1^-1 * Y2 * Y1^-1, (Y1 * Y3 * Y2)^3, (Y1^-1 * Y3 * Y2)^3 ]
Map:: polytopal non-degenerate
	R = (1, 74, 2, 77, 5, 73)(3, 80, 8, 82, 10, 75)(4, 83, 11, 84, 12, 76)(6, 87, 15, 89, 17, 78)(7, 90, 18, 91, 19, 79)(9, 94, 22, 95, 23, 81)(13, 102, 30, 104, 32, 85)(14, 105, 33, 106, 34, 86)(16, 109, 37, 110, 38, 88)(20, 108, 36, 118, 46, 92)(21, 114, 42, 119, 47, 93)(24, 115, 43, 125, 53, 96)(25, 112, 40, 126, 54, 97)(26, 113, 41, 128, 56, 98)(27, 107, 35, 129, 57, 99)(28, 116, 44, 131, 59, 100)(29, 111, 39, 132, 60, 101)(31, 133, 61, 134, 62, 103)(45, 130, 58, 136, 64, 117)(48, 139, 67, 138, 66, 120)(49, 135, 63, 140, 68, 121)(50, 142, 70, 143, 71, 122)(51, 141, 69, 144, 72, 123)(52, 137, 65, 127, 55, 124)
	L = (1, 3)(2, 6)(4, 9)(5, 13)(7, 16)(8, 20)(10, 24)(11, 26)(12, 28)(14, 31)(15, 35)(17, 39)(18, 41)(19, 43)(21, 45)(22, 48)(23, 50)(25, 52)(27, 55)(29, 58)(30, 47)(32, 59)(33, 56)(34, 60)(36, 63)(37, 51)(38, 64)(40, 66)(42, 67)(44, 68)(46, 69)(49, 62)(53, 71)(54, 72)(57, 70)(61, 65)(73, 76)(74, 79)(75, 81)(77, 86)(78, 88)(80, 93)(82, 97)(83, 99)(84, 101)(85, 103)(87, 108)(89, 112)(90, 114)(91, 116)(92, 117)(94, 121)(95, 123)(96, 124)(98, 127)(100, 130)(102, 129)(104, 126)(105, 118)(106, 125)(107, 135)(109, 122)(110, 137)(111, 138)(113, 139)(115, 140)(119, 142)(120, 134)(128, 141)(131, 144)(132, 143)(133, 136)
	local type(s) :: { ( 6^6 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+ AT
Graph:: simple bipartite
	v = 24 e = 72 f = 24
	degree seq :: [ 6^24 ]

E13.1159 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 3, 3})
Quotient :: halfedge^2
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, Y1^3, (R * Y1)^2, R * Y2 * R * Y3, Y3 * Y1^-1 * Y2 * Y1, Y1^-1 * Y3 * Y1 * Y2 * Y1^-2 * Y3 * Y2 * Y1^-1, (Y2 * Y3 * Y1)^3, Y3 * Y1 * Y2 * Y1 * Y3 * Y2 * Y3 * Y1^-1 * Y2 * Y1^-1, Y3 * Y2 * Y3 * Y1 * Y3 * Y2 * Y3 * Y2 * Y3 * Y1^-1, Y2 * Y3 * Y2 * Y3 * Y2 * Y1 * Y2 * Y3 * Y2 * Y1^-1 ]
Map::
	R = (1, 74, 2, 77, 5, 73)(3, 79, 7, 81, 9, 75)(4, 82, 10, 84, 12, 76)(6, 85, 13, 87, 15, 78)(8, 89, 17, 91, 19, 80)(11, 94, 22, 96, 24, 83)(14, 99, 27, 101, 29, 86)(16, 92, 20, 104, 32, 88)(18, 106, 34, 108, 36, 90)(21, 97, 25, 112, 40, 93)(23, 114, 42, 116, 44, 95)(26, 102, 30, 120, 48, 98)(28, 121, 49, 123, 51, 100)(31, 126, 54, 128, 56, 103)(33, 109, 37, 125, 53, 105)(35, 122, 50, 131, 59, 107)(38, 129, 57, 111, 39, 110)(41, 117, 45, 124, 52, 113)(43, 127, 55, 139, 67, 115)(46, 136, 64, 140, 68, 118)(47, 138, 66, 141, 69, 119)(58, 132, 60, 143, 71, 130)(61, 144, 72, 137, 65, 133)(62, 142, 70, 135, 63, 134)
	L = (1, 3)(2, 6)(4, 11)(5, 12)(7, 16)(8, 18)(9, 19)(10, 21)(13, 26)(14, 28)(15, 29)(17, 33)(20, 38)(22, 41)(23, 43)(24, 44)(25, 46)(27, 45)(30, 53)(31, 55)(32, 56)(34, 58)(35, 51)(36, 59)(37, 61)(39, 63)(40, 57)(42, 65)(47, 67)(48, 69)(49, 62)(50, 68)(52, 71)(54, 60)(64, 72)(66, 70)(73, 76)(74, 79)(75, 80)(77, 85)(78, 86)(81, 92)(82, 94)(83, 95)(84, 97)(87, 102)(88, 103)(89, 106)(90, 107)(91, 109)(93, 111)(96, 117)(98, 119)(99, 121)(100, 122)(101, 124)(104, 129)(105, 120)(108, 132)(110, 134)(112, 136)(113, 130)(114, 127)(115, 138)(116, 133)(118, 131)(123, 142)(125, 144)(126, 139)(128, 143)(135, 141)(137, 140)
	local type(s) :: { ( 6^6 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+ AT
Graph:: bipartite
	v = 24 e = 72 f = 24
	degree seq :: [ 6^24 ]

E13.1160 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 3, 3})
Quotient :: halfedge^2
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, Y1^3, (R * Y1)^2, R * Y2 * R * Y3, Y3 * Y2 * Y3 * Y1 * Y3 * Y1^-1, Y2 * Y1 * Y2 * Y3 * Y2 * Y1^-1, (Y3 * Y1 * Y2 * Y1^-1)^2, (Y1^-1 * Y2 * Y3)^3 ]
Map:: polytopal non-degenerate
	R = (1, 74, 2, 77, 5, 73)(3, 80, 8, 82, 10, 75)(4, 83, 11, 85, 13, 76)(6, 88, 16, 90, 18, 78)(7, 91, 19, 93, 21, 79)(9, 95, 23, 97, 25, 81)(12, 101, 29, 98, 26, 84)(14, 96, 24, 105, 33, 86)(15, 106, 34, 107, 35, 87)(17, 109, 37, 110, 38, 89)(20, 114, 42, 111, 39, 92)(22, 108, 36, 117, 45, 94)(27, 122, 50, 123, 51, 99)(28, 124, 52, 112, 40, 100)(30, 115, 43, 128, 56, 102)(31, 129, 57, 130, 58, 103)(32, 131, 59, 132, 60, 104)(41, 138, 66, 133, 61, 113)(44, 127, 55, 135, 63, 116)(46, 139, 67, 136, 64, 118)(47, 141, 69, 142, 70, 119)(48, 137, 65, 125, 53, 120)(49, 143, 71, 144, 72, 121)(54, 134, 62, 140, 68, 126)
	L = (1, 3)(2, 6)(4, 12)(5, 14)(7, 20)(8, 17)(9, 24)(10, 26)(11, 28)(13, 30)(15, 31)(16, 32)(18, 39)(19, 41)(21, 43)(22, 44)(23, 46)(25, 47)(27, 48)(29, 53)(33, 58)(34, 50)(35, 56)(36, 62)(37, 49)(38, 63)(40, 64)(42, 67)(45, 69)(51, 70)(52, 55)(54, 60)(57, 71)(59, 65)(61, 72)(66, 68)(73, 76)(74, 79)(75, 81)(77, 87)(78, 89)(80, 94)(82, 99)(83, 95)(84, 93)(85, 103)(86, 104)(88, 108)(90, 112)(91, 109)(92, 107)(96, 117)(97, 120)(98, 121)(100, 125)(101, 126)(102, 127)(105, 133)(106, 131)(110, 136)(111, 137)(113, 139)(114, 119)(115, 140)(116, 123)(118, 130)(122, 143)(124, 134)(128, 142)(129, 135)(132, 144)(138, 141)
	local type(s) :: { ( 6^6 ) }
Outer automorphisms :: reflexible
Dual of E13.1155
Transitivity :: VT+ AT
Graph:: simple bipartite
	v = 24 e = 72 f = 24
	degree seq :: [ 6^24 ]

E13.1161 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 3, 3})
Quotient :: edge^2
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 * R * Y2, Y1 * Y3^-1 * Y1 * Y2 * Y3^-1 * Y2 * Y3^-1, Y2 * Y3^-1 * Y2 * Y3^-1 * Y1 * Y3^-1 * Y1, Y2 * Y3 * Y2 * Y1 * Y3 * Y1 * Y3, Y1 * Y3^-1 * Y1 * Y3^-1 * Y2 * Y3 * Y2 * Y3, Y2 * Y1 * Y3^-1 * Y2 * Y3 * Y1 * Y2 * Y1, Y2 * Y1 * Y3 * Y2 * Y1 * Y2 * Y3^-1 * Y1, Y1 * Y3 * Y1 * Y3^-1 * Y2 * Y3^-1 * Y2 * Y3 ]
Map:: polytopal
	R = (1, 73, 4, 76, 5, 77)(2, 74, 7, 79, 8, 80)(3, 75, 10, 82, 11, 83)(6, 78, 17, 89, 18, 90)(9, 81, 24, 96, 25, 97)(12, 84, 31, 103, 32, 104)(13, 85, 34, 106, 35, 107)(14, 86, 37, 109, 38, 110)(15, 87, 40, 112, 41, 113)(16, 88, 43, 115, 44, 116)(19, 91, 29, 101, 49, 121)(20, 92, 36, 108, 51, 123)(21, 93, 52, 124, 53, 125)(22, 94, 55, 127, 56, 128)(23, 95, 45, 117, 57, 129)(26, 98, 60, 132, 42, 114)(27, 99, 61, 133, 62, 134)(28, 100, 63, 135, 33, 105)(30, 102, 65, 137, 66, 138)(39, 111, 67, 139, 68, 140)(46, 118, 64, 136, 69, 141)(47, 119, 70, 142, 50, 122)(48, 120, 58, 130, 71, 143)(54, 126, 72, 144, 59, 131)(145, 146)(147, 153)(148, 156)(149, 158)(150, 160)(151, 163)(152, 165)(154, 170)(155, 172)(157, 177)(159, 183)(161, 189)(162, 191)(164, 194)(166, 198)(167, 199)(168, 185)(169, 202)(171, 182)(173, 208)(174, 203)(175, 205)(176, 193)(178, 204)(179, 211)(180, 201)(181, 196)(184, 186)(187, 200)(188, 209)(190, 197)(192, 212)(195, 216)(206, 213)(207, 215)(210, 214)(217, 219)(218, 222)(220, 229)(221, 231)(223, 236)(224, 238)(225, 239)(226, 243)(227, 245)(228, 246)(230, 252)(232, 258)(233, 262)(234, 247)(235, 264)(237, 250)(240, 266)(241, 260)(242, 275)(244, 263)(248, 271)(249, 259)(251, 278)(253, 282)(254, 272)(255, 270)(256, 265)(257, 269)(261, 284)(267, 285)(268, 287)(273, 276)(274, 277)(279, 288)(280, 281)(283, 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) :: { ( 12, 12 ), ( 12^6 ) }
Outer automorphisms :: reflexible
Dual of E13.1174
Graph:: simple bipartite
	v = 96 e = 144 f = 24
	degree seq :: [ 2^72, 6^24 ]

E13.1162 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 3, 3})
Quotient :: edge^2
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, Y2 * Y1, Y3^3, R * Y1 * R * Y2, (R * Y3)^2, (Y1 * Y3 * Y1 * Y3^-1)^3, Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 ]
Map::
	R = (1, 73, 3, 75, 4, 76)(2, 74, 5, 77, 6, 78)(7, 79, 11, 83, 12, 84)(8, 80, 13, 85, 14, 86)(9, 81, 15, 87, 16, 88)(10, 82, 17, 89, 18, 90)(19, 91, 27, 99, 28, 100)(20, 92, 29, 101, 30, 102)(21, 93, 31, 103, 32, 104)(22, 94, 33, 105, 34, 106)(23, 95, 35, 107, 36, 108)(24, 96, 37, 109, 38, 110)(25, 97, 39, 111, 40, 112)(26, 98, 41, 113, 42, 114)(43, 115, 55, 127, 56, 128)(44, 116, 47, 119, 57, 129)(45, 117, 58, 130, 59, 131)(46, 118, 60, 132, 61, 133)(48, 120, 62, 134, 63, 135)(49, 121, 64, 136, 65, 137)(50, 122, 53, 125, 66, 138)(51, 123, 67, 139, 68, 140)(52, 124, 69, 141, 70, 142)(54, 126, 71, 143, 72, 144)(145, 146)(147, 151)(148, 152)(149, 153)(150, 154)(155, 163)(156, 164)(157, 165)(158, 166)(159, 167)(160, 168)(161, 169)(162, 170)(171, 187)(172, 188)(173, 181)(174, 189)(175, 190)(176, 184)(177, 191)(178, 192)(179, 193)(180, 194)(182, 195)(183, 196)(185, 197)(186, 198)(199, 208)(200, 213)(201, 210)(202, 214)(203, 215)(204, 209)(205, 211)(206, 212)(207, 216)(217, 218)(219, 223)(220, 224)(221, 225)(222, 226)(227, 235)(228, 236)(229, 237)(230, 238)(231, 239)(232, 240)(233, 241)(234, 242)(243, 259)(244, 260)(245, 253)(246, 261)(247, 262)(248, 256)(249, 263)(250, 264)(251, 265)(252, 266)(254, 267)(255, 268)(257, 269)(258, 270)(271, 280)(272, 285)(273, 282)(274, 286)(275, 287)(276, 281)(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) :: { ( 12, 12 ), ( 12^6 ) }
Outer automorphisms :: reflexible
Dual of E13.1170
Graph:: simple bipartite
	v = 96 e = 144 f = 24
	degree seq :: [ 2^72, 6^24 ]

E13.1163 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 3, 3})
Quotient :: edge^2
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, (Y2 * Y1)^2, (R * Y3)^2, R * Y1 * R * Y2, Y3 * Y2 * Y3 * Y2 * Y3^-1 * Y1 * Y3^-1 * Y1, Y3 * Y1 * Y3 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y2, Y3 * Y1 * Y3^-1 * Y2 * Y3^-1 * Y2 * Y3 * Y2, Y1 * Y3^-1 * Y1 * Y2 * Y3^-1 * Y1 * Y2 * Y3^-1 * Y2, (Y2 * Y1 * Y3^-1)^3 ]
Map:: polytopal
	R = (1, 73, 4, 76, 5, 77)(2, 74, 7, 79, 8, 80)(3, 75, 9, 81, 10, 82)(6, 78, 15, 87, 16, 88)(11, 83, 26, 98, 27, 99)(12, 84, 28, 100, 29, 101)(13, 85, 31, 103, 32, 104)(14, 86, 33, 105, 34, 106)(17, 89, 40, 112, 41, 113)(18, 90, 42, 114, 43, 115)(19, 91, 45, 117, 46, 118)(20, 92, 47, 119, 48, 120)(21, 93, 50, 122, 51, 123)(22, 94, 52, 124, 53, 125)(23, 95, 55, 127, 56, 128)(24, 96, 57, 129, 58, 130)(25, 97, 59, 131, 60, 132)(30, 102, 61, 133, 62, 134)(35, 107, 63, 135, 64, 136)(36, 108, 65, 137, 66, 138)(37, 109, 67, 139, 68, 140)(38, 110, 69, 141, 70, 142)(39, 111, 54, 126, 71, 143)(44, 116, 72, 144, 49, 121)(145, 146)(147, 150)(148, 155)(149, 157)(151, 161)(152, 163)(153, 165)(154, 167)(156, 169)(158, 174)(159, 179)(160, 181)(162, 183)(164, 188)(166, 193)(168, 198)(170, 194)(171, 191)(172, 196)(173, 199)(175, 197)(176, 202)(177, 185)(178, 200)(180, 206)(182, 203)(184, 207)(186, 209)(187, 211)(189, 210)(190, 214)(192, 212)(195, 213)(201, 208)(204, 215)(205, 216)(217, 219)(218, 222)(220, 228)(221, 230)(223, 234)(224, 236)(225, 238)(226, 240)(227, 241)(229, 246)(231, 252)(232, 254)(233, 255)(235, 260)(237, 265)(239, 270)(242, 258)(243, 273)(244, 256)(245, 261)(247, 259)(248, 262)(249, 267)(250, 264)(251, 278)(253, 275)(257, 285)(263, 280)(266, 281)(268, 279)(269, 283)(271, 282)(272, 284)(274, 286)(276, 288)(277, 287)
	L = (1, 145)(2, 146)(3, 147)(4, 148)(5, 149)(6, 150)(7, 151)(8, 152)(9, 153)(10, 154)(11, 155)(12, 156)(13, 157)(14, 158)(15, 159)(16, 160)(17, 161)(18, 162)(19, 163)(20, 164)(21, 165)(22, 166)(23, 167)(24, 168)(25, 169)(26, 170)(27, 171)(28, 172)(29, 173)(30, 174)(31, 175)(32, 176)(33, 177)(34, 178)(35, 179)(36, 180)(37, 181)(38, 182)(39, 183)(40, 184)(41, 185)(42, 186)(43, 187)(44, 188)(45, 189)(46, 190)(47, 191)(48, 192)(49, 193)(50, 194)(51, 195)(52, 196)(53, 197)(54, 198)(55, 199)(56, 200)(57, 201)(58, 202)(59, 203)(60, 204)(61, 205)(62, 206)(63, 207)(64, 208)(65, 209)(66, 210)(67, 211)(68, 212)(69, 213)(70, 214)(71, 215)(72, 216)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 12, 12 ), ( 12^6 ) }
Outer automorphisms :: reflexible
Dual of E13.1171
Graph:: simple bipartite
	v = 96 e = 144 f = 24
	degree seq :: [ 2^72, 6^24 ]

E13.1164 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 3, 3})
Quotient :: edge^2
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, (Y2 * Y1)^2, (R * Y3)^2, R * Y1 * R * Y2, Y3 * Y2 * Y3^-1 * Y2 * Y3^-1 * Y1 * Y3 * Y2, Y3 * Y1 * Y3 * Y1 * Y3^-1 * Y2 * Y3^-1 * Y2, Y3 * Y1 * Y3 * Y2 * Y3^-1 * Y1 * Y3^-1 * Y1, (Y2 * Y1 * Y3^-1)^3, Y1 * Y3^-1 * Y1 * Y2 * Y3^-1 * Y1 * Y2 * Y3^-1 * Y2 ]
Map:: polytopal
	R = (1, 73, 4, 76, 5, 77)(2, 74, 7, 79, 8, 80)(3, 75, 9, 81, 10, 82)(6, 78, 15, 87, 16, 88)(11, 83, 26, 98, 27, 99)(12, 84, 28, 100, 29, 101)(13, 85, 31, 103, 32, 104)(14, 86, 33, 105, 34, 106)(17, 89, 40, 112, 41, 113)(18, 90, 42, 114, 43, 115)(19, 91, 45, 117, 46, 118)(20, 92, 47, 119, 48, 120)(21, 93, 50, 122, 51, 123)(22, 94, 52, 124, 53, 125)(23, 95, 55, 127, 56, 128)(24, 96, 57, 129, 58, 130)(25, 97, 59, 131, 60, 132)(30, 102, 61, 133, 62, 134)(35, 107, 63, 135, 64, 136)(36, 108, 65, 137, 66, 138)(37, 109, 67, 139, 68, 140)(38, 110, 69, 141, 70, 142)(39, 111, 54, 126, 71, 143)(44, 116, 72, 144, 49, 121)(145, 146)(147, 150)(148, 155)(149, 157)(151, 161)(152, 163)(153, 165)(154, 167)(156, 169)(158, 174)(159, 179)(160, 181)(162, 183)(164, 188)(166, 193)(168, 198)(170, 196)(171, 201)(172, 194)(173, 189)(175, 187)(176, 200)(177, 195)(178, 202)(180, 206)(182, 203)(184, 209)(185, 213)(186, 207)(190, 212)(191, 208)(192, 214)(197, 211)(199, 210)(204, 215)(205, 216)(217, 219)(218, 222)(220, 228)(221, 230)(223, 234)(224, 236)(225, 238)(226, 240)(227, 241)(229, 246)(231, 252)(232, 254)(233, 255)(235, 260)(237, 265)(239, 270)(242, 256)(243, 263)(244, 258)(245, 271)(247, 269)(248, 264)(249, 257)(250, 262)(251, 278)(253, 275)(259, 283)(261, 282)(266, 279)(267, 285)(268, 281)(272, 286)(273, 280)(274, 284)(276, 288)(277, 287)
	L = (1, 145)(2, 146)(3, 147)(4, 148)(5, 149)(6, 150)(7, 151)(8, 152)(9, 153)(10, 154)(11, 155)(12, 156)(13, 157)(14, 158)(15, 159)(16, 160)(17, 161)(18, 162)(19, 163)(20, 164)(21, 165)(22, 166)(23, 167)(24, 168)(25, 169)(26, 170)(27, 171)(28, 172)(29, 173)(30, 174)(31, 175)(32, 176)(33, 177)(34, 178)(35, 179)(36, 180)(37, 181)(38, 182)(39, 183)(40, 184)(41, 185)(42, 186)(43, 187)(44, 188)(45, 189)(46, 190)(47, 191)(48, 192)(49, 193)(50, 194)(51, 195)(52, 196)(53, 197)(54, 198)(55, 199)(56, 200)(57, 201)(58, 202)(59, 203)(60, 204)(61, 205)(62, 206)(63, 207)(64, 208)(65, 209)(66, 210)(67, 211)(68, 212)(69, 213)(70, 214)(71, 215)(72, 216)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 12, 12 ), ( 12^6 ) }
Outer automorphisms :: reflexible
Dual of E13.1172
Graph:: simple bipartite
	v = 96 e = 144 f = 24
	degree seq :: [ 2^72, 6^24 ]

E13.1165 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 3, 3})
Quotient :: edge^2
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, Y2 * Y1, Y3^3, (R * Y3)^2, R * Y1 * R * Y2, (Y1 * Y3)^6, Y3 * Y1 * Y3 * Y1 * Y3^-1 * Y1 * Y3 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3 * Y1 * Y3^-1 * Y1 ]
Map::
	R = (1, 73, 3, 75, 4, 76)(2, 74, 5, 77, 6, 78)(7, 79, 11, 83, 12, 84)(8, 80, 13, 85, 14, 86)(9, 81, 15, 87, 16, 88)(10, 82, 17, 89, 18, 90)(19, 91, 27, 99, 28, 100)(20, 92, 29, 101, 30, 102)(21, 93, 31, 103, 32, 104)(22, 94, 33, 105, 34, 106)(23, 95, 35, 107, 36, 108)(24, 96, 37, 109, 38, 110)(25, 97, 39, 111, 40, 112)(26, 98, 41, 113, 42, 114)(43, 115, 55, 127, 56, 128)(44, 116, 57, 129, 58, 130)(45, 117, 59, 131, 46, 118)(47, 119, 60, 132, 61, 133)(48, 120, 62, 134, 63, 135)(49, 121, 64, 136, 65, 137)(50, 122, 66, 138, 67, 139)(51, 123, 68, 140, 52, 124)(53, 125, 69, 141, 70, 142)(54, 126, 71, 143, 72, 144)(145, 146)(147, 151)(148, 152)(149, 153)(150, 154)(155, 163)(156, 164)(157, 165)(158, 166)(159, 167)(160, 168)(161, 169)(162, 170)(171, 186)(172, 187)(173, 188)(174, 189)(175, 190)(176, 191)(177, 192)(178, 179)(180, 193)(181, 194)(182, 195)(183, 196)(184, 197)(185, 198)(199, 210)(200, 209)(201, 208)(202, 213)(203, 212)(204, 211)(205, 216)(206, 215)(207, 214)(217, 218)(219, 223)(220, 224)(221, 225)(222, 226)(227, 235)(228, 236)(229, 237)(230, 238)(231, 239)(232, 240)(233, 241)(234, 242)(243, 258)(244, 259)(245, 260)(246, 261)(247, 262)(248, 263)(249, 264)(250, 251)(252, 265)(253, 266)(254, 267)(255, 268)(256, 269)(257, 270)(271, 282)(272, 281)(273, 280)(274, 285)(275, 284)(276, 283)(277, 288)(278, 287)(279, 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) :: { ( 12, 12 ), ( 12^6 ) }
Outer automorphisms :: reflexible
Dual of E13.1173
Graph:: simple bipartite
	v = 96 e = 144 f = 24
	degree seq :: [ 2^72, 6^24 ]

E13.1166 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 3, 3})
Quotient :: edge^2
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 * Y2 * R * Y1, Y2 * Y3 * Y2 * Y1 * Y2 * Y3^-1, Y1 * Y2 * Y1 * Y3 * Y1 * Y3^-1, (Y3^-1 * Y1 * Y3 * Y2)^2, (Y1 * Y3^-1 * Y2)^3 ]
Map:: polytopal
	R = (1, 73, 4, 76, 5, 77)(2, 74, 7, 79, 8, 80)(3, 75, 10, 82, 11, 83)(6, 78, 17, 89, 18, 90)(9, 81, 19, 91, 24, 96)(12, 84, 29, 101, 16, 88)(13, 85, 30, 102, 31, 103)(14, 86, 32, 104, 33, 105)(15, 87, 23, 95, 35, 107)(20, 92, 41, 113, 42, 114)(21, 93, 43, 115, 44, 116)(22, 94, 36, 108, 46, 118)(25, 97, 51, 123, 47, 119)(26, 98, 52, 124, 53, 125)(27, 99, 54, 126, 55, 127)(28, 100, 56, 128, 57, 129)(34, 106, 59, 131, 60, 132)(37, 109, 63, 135, 62, 134)(38, 110, 48, 120, 64, 136)(39, 111, 65, 137, 66, 138)(40, 112, 67, 139, 68, 140)(45, 117, 69, 141, 50, 122)(49, 121, 71, 143, 70, 142)(58, 130, 72, 144, 61, 133)(145, 146)(147, 153)(148, 156)(149, 158)(150, 160)(151, 163)(152, 165)(154, 169)(155, 171)(157, 170)(159, 178)(161, 181)(162, 183)(164, 182)(166, 189)(167, 191)(168, 192)(172, 177)(173, 196)(174, 195)(175, 186)(176, 203)(179, 205)(180, 206)(184, 188)(185, 207)(187, 213)(190, 214)(193, 200)(194, 199)(197, 212)(198, 209)(201, 208)(202, 211)(204, 210)(215, 216)(217, 219)(218, 222)(220, 229)(221, 231)(223, 236)(224, 238)(225, 239)(226, 242)(227, 234)(228, 244)(230, 237)(232, 252)(233, 254)(235, 256)(240, 265)(241, 266)(243, 264)(245, 274)(246, 250)(247, 273)(248, 270)(249, 262)(251, 260)(253, 276)(255, 268)(257, 261)(258, 284)(259, 281)(263, 287)(267, 279)(269, 285)(271, 286)(272, 283)(275, 280)(277, 282)(278, 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, 12 ), ( 12^6 ) }
Outer automorphisms :: reflexible
Dual of E13.1169
Graph:: simple bipartite
	v = 96 e = 144 f = 24
	degree seq :: [ 2^72, 6^24 ]

E13.1167 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 3, 3})
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, Y2^3, Y1^3, (Y2^-1, Y1), R * Y1 * R * Y2, (R * Y3)^2, Y2^-1 * Y3 * Y2^-1 * Y1^-1 * Y3 * Y1^-1, (Y3 * Y1^-1)^4, Y3 * Y1 * Y3 * Y2 * Y3 * Y1 * Y3 * Y2 * Y3 * Y2^-1 * Y3 * Y1^-1, (Y3 * Y1 * Y3 * Y1^-1)^3 ]
Map:: polyhedral non-degenerate
	R = (1, 73, 4, 76)(2, 74, 8, 80)(3, 75, 10, 82)(5, 77, 16, 88)(6, 78, 18, 90)(7, 79, 19, 91)(9, 81, 24, 96)(11, 83, 29, 101)(12, 84, 31, 103)(13, 85, 33, 105)(14, 86, 35, 107)(15, 87, 36, 108)(17, 89, 30, 102)(20, 92, 41, 113)(21, 93, 42, 114)(22, 94, 43, 115)(23, 95, 44, 116)(25, 97, 45, 117)(26, 98, 46, 118)(27, 99, 47, 119)(28, 100, 48, 120)(32, 104, 52, 124)(34, 106, 56, 128)(37, 109, 59, 131)(38, 110, 51, 123)(39, 111, 54, 126)(40, 112, 60, 132)(49, 121, 64, 136)(50, 122, 65, 137)(53, 125, 66, 138)(55, 127, 67, 139)(57, 129, 68, 140)(58, 130, 69, 141)(61, 133, 70, 142)(62, 134, 71, 143)(63, 135, 72, 144)(145, 146, 149)(147, 151, 155)(148, 156, 158)(150, 153, 161)(152, 164, 166)(154, 169, 171)(157, 174, 178)(159, 176, 163)(160, 181, 170)(162, 183, 165)(167, 184, 173)(168, 172, 182)(175, 190, 194)(177, 197, 198)(179, 201, 185)(180, 191, 193)(186, 205, 192)(187, 207, 203)(188, 196, 199)(189, 204, 206)(195, 202, 200)(208, 215, 211)(209, 216, 212)(210, 213, 214)(217, 219, 222)(218, 223, 225)(220, 229, 231)(221, 227, 233)(224, 237, 239)(226, 242, 244)(228, 246, 248)(230, 250, 235)(232, 254, 241)(234, 256, 236)(238, 255, 245)(240, 243, 253)(247, 265, 267)(249, 257, 271)(251, 260, 269)(252, 274, 262)(258, 275, 278)(259, 261, 277)(263, 272, 266)(264, 279, 276)(268, 270, 273)(280, 284, 286)(281, 282, 287)(283, 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) :: { ( 8^3 ), ( 8^4 ) }
Outer automorphisms :: reflexible
Dual of E13.1175
Graph:: simple bipartite
	v = 84 e = 144 f = 36
	degree seq :: [ 3^48, 4^36 ]

E13.1168 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 3, 3})
Quotient :: edge^2
Aut^+ = C3 x S4 (small group id <72, 42>)
Aut   = C6 x S4 (small group id <144, 188>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2^-1 * Y1^-1, Y1^2 * Y2^-1, Y2^3, (R * Y3)^2, R * Y2 * R * Y1, Y3 * Y1 * Y3 * Y2 * Y3 * 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 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1, Y3 * Y2 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y2^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1, Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y1^-1, Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 73, 4, 76)(2, 74, 5, 77)(3, 75, 6, 78)(7, 79, 13, 85)(8, 80, 14, 86)(9, 81, 15, 87)(10, 82, 16, 88)(11, 83, 17, 89)(12, 84, 18, 90)(19, 91, 31, 103)(20, 92, 32, 104)(21, 93, 33, 105)(22, 94, 34, 106)(23, 95, 35, 107)(24, 96, 36, 108)(25, 97, 37, 109)(26, 98, 38, 110)(27, 99, 39, 111)(28, 100, 40, 112)(29, 101, 41, 113)(30, 102, 42, 114)(43, 115, 58, 130)(44, 116, 59, 131)(45, 117, 60, 132)(46, 118, 61, 133)(47, 119, 62, 134)(48, 120, 63, 135)(49, 121, 64, 136)(50, 122, 65, 137)(51, 123, 66, 138)(52, 124, 67, 139)(53, 125, 68, 140)(54, 126, 69, 141)(55, 127, 70, 142)(56, 128, 71, 143)(57, 129, 72, 144)(145, 146, 147)(148, 151, 152)(149, 153, 154)(150, 155, 156)(157, 163, 164)(158, 165, 166)(159, 167, 168)(160, 169, 170)(161, 171, 172)(162, 173, 174)(175, 187, 188)(176, 181, 189)(177, 190, 184)(178, 191, 192)(179, 193, 194)(180, 185, 195)(182, 196, 197)(183, 198, 199)(186, 200, 201)(202, 208, 213)(203, 206, 210)(204, 214, 215)(205, 209, 211)(207, 212, 216)(217, 219, 218)(220, 224, 223)(221, 226, 225)(222, 228, 227)(229, 236, 235)(230, 238, 237)(231, 240, 239)(232, 242, 241)(233, 244, 243)(234, 246, 245)(247, 260, 259)(248, 261, 253)(249, 256, 262)(250, 264, 263)(251, 266, 265)(252, 267, 257)(254, 269, 268)(255, 271, 270)(258, 273, 272)(274, 285, 280)(275, 282, 278)(276, 287, 286)(277, 283, 281)(279, 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) :: { ( 8^3 ), ( 8^4 ) }
Outer automorphisms :: reflexible
Dual of E13.1176
Graph:: simple bipartite
	v = 84 e = 144 f = 36
	degree seq :: [ 3^48, 4^36 ]

E13.1169 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 3, 3})
Quotient :: loop^2
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 * R * Y2, Y1 * Y3^-1 * Y1 * Y2 * Y3^-1 * Y2 * Y3^-1, Y2 * Y3^-1 * Y2 * Y3^-1 * Y1 * Y3^-1 * Y1, Y2 * Y3 * Y2 * Y1 * Y3 * Y1 * Y3, Y1 * Y3^-1 * Y1 * Y3^-1 * Y2 * Y3 * Y2 * Y3, Y2 * Y1 * Y3^-1 * Y2 * Y3 * Y1 * Y2 * Y1, Y2 * Y1 * Y3 * Y2 * Y1 * Y2 * Y3^-1 * Y1, Y1 * Y3 * Y1 * Y3^-1 * Y2 * Y3^-1 * Y2 * Y3 ]
Map::
	R = (1, 73, 145, 217, 4, 76, 148, 220, 5, 77, 149, 221)(2, 74, 146, 218, 7, 79, 151, 223, 8, 80, 152, 224)(3, 75, 147, 219, 10, 82, 154, 226, 11, 83, 155, 227)(6, 78, 150, 222, 17, 89, 161, 233, 18, 90, 162, 234)(9, 81, 153, 225, 24, 96, 168, 240, 25, 97, 169, 241)(12, 84, 156, 228, 31, 103, 175, 247, 32, 104, 176, 248)(13, 85, 157, 229, 34, 106, 178, 250, 35, 107, 179, 251)(14, 86, 158, 230, 37, 109, 181, 253, 38, 110, 182, 254)(15, 87, 159, 231, 40, 112, 184, 256, 41, 113, 185, 257)(16, 88, 160, 232, 43, 115, 187, 259, 44, 116, 188, 260)(19, 91, 163, 235, 29, 101, 173, 245, 49, 121, 193, 265)(20, 92, 164, 236, 36, 108, 180, 252, 51, 123, 195, 267)(21, 93, 165, 237, 52, 124, 196, 268, 53, 125, 197, 269)(22, 94, 166, 238, 55, 127, 199, 271, 56, 128, 200, 272)(23, 95, 167, 239, 45, 117, 189, 261, 57, 129, 201, 273)(26, 98, 170, 242, 60, 132, 204, 276, 42, 114, 186, 258)(27, 99, 171, 243, 61, 133, 205, 277, 62, 134, 206, 278)(28, 100, 172, 244, 63, 135, 207, 279, 33, 105, 177, 249)(30, 102, 174, 246, 65, 137, 209, 281, 66, 138, 210, 282)(39, 111, 183, 255, 67, 139, 211, 283, 68, 140, 212, 284)(46, 118, 190, 262, 64, 136, 208, 280, 69, 141, 213, 285)(47, 119, 191, 263, 70, 142, 214, 286, 50, 122, 194, 266)(48, 120, 192, 264, 58, 130, 202, 274, 71, 143, 215, 287)(54, 126, 198, 270, 72, 144, 216, 288, 59, 131, 203, 275)
	L = (1, 74)(2, 73)(3, 81)(4, 84)(5, 86)(6, 88)(7, 91)(8, 93)(9, 75)(10, 98)(11, 100)(12, 76)(13, 105)(14, 77)(15, 111)(16, 78)(17, 117)(18, 119)(19, 79)(20, 122)(21, 80)(22, 126)(23, 127)(24, 113)(25, 130)(26, 82)(27, 110)(28, 83)(29, 136)(30, 131)(31, 133)(32, 121)(33, 85)(34, 132)(35, 139)(36, 129)(37, 124)(38, 99)(39, 87)(40, 114)(41, 96)(42, 112)(43, 128)(44, 137)(45, 89)(46, 125)(47, 90)(48, 140)(49, 104)(50, 92)(51, 144)(52, 109)(53, 118)(54, 94)(55, 95)(56, 115)(57, 108)(58, 97)(59, 102)(60, 106)(61, 103)(62, 141)(63, 143)(64, 101)(65, 116)(66, 142)(67, 107)(68, 120)(69, 134)(70, 138)(71, 135)(72, 123)(145, 219)(146, 222)(147, 217)(148, 229)(149, 231)(150, 218)(151, 236)(152, 238)(153, 239)(154, 243)(155, 245)(156, 246)(157, 220)(158, 252)(159, 221)(160, 258)(161, 262)(162, 247)(163, 264)(164, 223)(165, 250)(166, 224)(167, 225)(168, 266)(169, 260)(170, 275)(171, 226)(172, 263)(173, 227)(174, 228)(175, 234)(176, 271)(177, 259)(178, 237)(179, 278)(180, 230)(181, 282)(182, 272)(183, 270)(184, 265)(185, 269)(186, 232)(187, 249)(188, 241)(189, 284)(190, 233)(191, 244)(192, 235)(193, 256)(194, 240)(195, 285)(196, 287)(197, 257)(198, 255)(199, 248)(200, 254)(201, 276)(202, 277)(203, 242)(204, 273)(205, 274)(206, 251)(207, 288)(208, 281)(209, 280)(210, 253)(211, 286)(212, 261)(213, 267)(214, 283)(215, 268)(216, 279)
	local type(s) :: { ( 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6 ) }
Outer automorphisms :: reflexible
Dual of E13.1166
Transitivity :: VT+
Graph:: bipartite
	v = 24 e = 144 f = 96
	degree seq :: [ 12^24 ]

E13.1170 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 3, 3})
Quotient :: loop^2
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, Y2 * Y1, Y3^3, R * Y1 * R * Y2, (R * Y3)^2, (Y1 * Y3 * Y1 * Y3^-1)^3, Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 ]
Map::
	R = (1, 73, 145, 217, 3, 75, 147, 219, 4, 76, 148, 220)(2, 74, 146, 218, 5, 77, 149, 221, 6, 78, 150, 222)(7, 79, 151, 223, 11, 83, 155, 227, 12, 84, 156, 228)(8, 80, 152, 224, 13, 85, 157, 229, 14, 86, 158, 230)(9, 81, 153, 225, 15, 87, 159, 231, 16, 88, 160, 232)(10, 82, 154, 226, 17, 89, 161, 233, 18, 90, 162, 234)(19, 91, 163, 235, 27, 99, 171, 243, 28, 100, 172, 244)(20, 92, 164, 236, 29, 101, 173, 245, 30, 102, 174, 246)(21, 93, 165, 237, 31, 103, 175, 247, 32, 104, 176, 248)(22, 94, 166, 238, 33, 105, 177, 249, 34, 106, 178, 250)(23, 95, 167, 239, 35, 107, 179, 251, 36, 108, 180, 252)(24, 96, 168, 240, 37, 109, 181, 253, 38, 110, 182, 254)(25, 97, 169, 241, 39, 111, 183, 255, 40, 112, 184, 256)(26, 98, 170, 242, 41, 113, 185, 257, 42, 114, 186, 258)(43, 115, 187, 259, 55, 127, 199, 271, 56, 128, 200, 272)(44, 116, 188, 260, 47, 119, 191, 263, 57, 129, 201, 273)(45, 117, 189, 261, 58, 130, 202, 274, 59, 131, 203, 275)(46, 118, 190, 262, 60, 132, 204, 276, 61, 133, 205, 277)(48, 120, 192, 264, 62, 134, 206, 278, 63, 135, 207, 279)(49, 121, 193, 265, 64, 136, 208, 280, 65, 137, 209, 281)(50, 122, 194, 266, 53, 125, 197, 269, 66, 138, 210, 282)(51, 123, 195, 267, 67, 139, 211, 283, 68, 140, 212, 284)(52, 124, 196, 268, 69, 141, 213, 285, 70, 142, 214, 286)(54, 126, 198, 270, 71, 143, 215, 287, 72, 144, 216, 288)
	L = (1, 74)(2, 73)(3, 79)(4, 80)(5, 81)(6, 82)(7, 75)(8, 76)(9, 77)(10, 78)(11, 91)(12, 92)(13, 93)(14, 94)(15, 95)(16, 96)(17, 97)(18, 98)(19, 83)(20, 84)(21, 85)(22, 86)(23, 87)(24, 88)(25, 89)(26, 90)(27, 115)(28, 116)(29, 109)(30, 117)(31, 118)(32, 112)(33, 119)(34, 120)(35, 121)(36, 122)(37, 101)(38, 123)(39, 124)(40, 104)(41, 125)(42, 126)(43, 99)(44, 100)(45, 102)(46, 103)(47, 105)(48, 106)(49, 107)(50, 108)(51, 110)(52, 111)(53, 113)(54, 114)(55, 136)(56, 141)(57, 138)(58, 142)(59, 143)(60, 137)(61, 139)(62, 140)(63, 144)(64, 127)(65, 132)(66, 129)(67, 133)(68, 134)(69, 128)(70, 130)(71, 131)(72, 135)(145, 218)(146, 217)(147, 223)(148, 224)(149, 225)(150, 226)(151, 219)(152, 220)(153, 221)(154, 222)(155, 235)(156, 236)(157, 237)(158, 238)(159, 239)(160, 240)(161, 241)(162, 242)(163, 227)(164, 228)(165, 229)(166, 230)(167, 231)(168, 232)(169, 233)(170, 234)(171, 259)(172, 260)(173, 253)(174, 261)(175, 262)(176, 256)(177, 263)(178, 264)(179, 265)(180, 266)(181, 245)(182, 267)(183, 268)(184, 248)(185, 269)(186, 270)(187, 243)(188, 244)(189, 246)(190, 247)(191, 249)(192, 250)(193, 251)(194, 252)(195, 254)(196, 255)(197, 257)(198, 258)(199, 280)(200, 285)(201, 282)(202, 286)(203, 287)(204, 281)(205, 283)(206, 284)(207, 288)(208, 271)(209, 276)(210, 273)(211, 277)(212, 278)(213, 272)(214, 274)(215, 275)(216, 279)
	local type(s) :: { ( 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6 ) }
Outer automorphisms :: reflexible
Dual of E13.1162
Transitivity :: VT+
Graph:: bipartite
	v = 24 e = 144 f = 96
	degree seq :: [ 12^24 ]

E13.1171 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 3, 3})
Quotient :: loop^2
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, (Y2 * Y1)^2, (R * Y3)^2, R * Y1 * R * Y2, Y3 * Y2 * Y3 * Y2 * Y3^-1 * Y1 * Y3^-1 * Y1, Y3 * Y1 * Y3 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y2, Y3 * Y1 * Y3^-1 * Y2 * Y3^-1 * Y2 * Y3 * Y2, Y1 * Y3^-1 * Y1 * Y2 * Y3^-1 * Y1 * Y2 * Y3^-1 * Y2, (Y2 * Y1 * Y3^-1)^3 ]
Map::
	R = (1, 73, 145, 217, 4, 76, 148, 220, 5, 77, 149, 221)(2, 74, 146, 218, 7, 79, 151, 223, 8, 80, 152, 224)(3, 75, 147, 219, 9, 81, 153, 225, 10, 82, 154, 226)(6, 78, 150, 222, 15, 87, 159, 231, 16, 88, 160, 232)(11, 83, 155, 227, 26, 98, 170, 242, 27, 99, 171, 243)(12, 84, 156, 228, 28, 100, 172, 244, 29, 101, 173, 245)(13, 85, 157, 229, 31, 103, 175, 247, 32, 104, 176, 248)(14, 86, 158, 230, 33, 105, 177, 249, 34, 106, 178, 250)(17, 89, 161, 233, 40, 112, 184, 256, 41, 113, 185, 257)(18, 90, 162, 234, 42, 114, 186, 258, 43, 115, 187, 259)(19, 91, 163, 235, 45, 117, 189, 261, 46, 118, 190, 262)(20, 92, 164, 236, 47, 119, 191, 263, 48, 120, 192, 264)(21, 93, 165, 237, 50, 122, 194, 266, 51, 123, 195, 267)(22, 94, 166, 238, 52, 124, 196, 268, 53, 125, 197, 269)(23, 95, 167, 239, 55, 127, 199, 271, 56, 128, 200, 272)(24, 96, 168, 240, 57, 129, 201, 273, 58, 130, 202, 274)(25, 97, 169, 241, 59, 131, 203, 275, 60, 132, 204, 276)(30, 102, 174, 246, 61, 133, 205, 277, 62, 134, 206, 278)(35, 107, 179, 251, 63, 135, 207, 279, 64, 136, 208, 280)(36, 108, 180, 252, 65, 137, 209, 281, 66, 138, 210, 282)(37, 109, 181, 253, 67, 139, 211, 283, 68, 140, 212, 284)(38, 110, 182, 254, 69, 141, 213, 285, 70, 142, 214, 286)(39, 111, 183, 255, 54, 126, 198, 270, 71, 143, 215, 287)(44, 116, 188, 260, 72, 144, 216, 288, 49, 121, 193, 265)
	L = (1, 74)(2, 73)(3, 78)(4, 83)(5, 85)(6, 75)(7, 89)(8, 91)(9, 93)(10, 95)(11, 76)(12, 97)(13, 77)(14, 102)(15, 107)(16, 109)(17, 79)(18, 111)(19, 80)(20, 116)(21, 81)(22, 121)(23, 82)(24, 126)(25, 84)(26, 122)(27, 119)(28, 124)(29, 127)(30, 86)(31, 125)(32, 130)(33, 113)(34, 128)(35, 87)(36, 134)(37, 88)(38, 131)(39, 90)(40, 135)(41, 105)(42, 137)(43, 139)(44, 92)(45, 138)(46, 142)(47, 99)(48, 140)(49, 94)(50, 98)(51, 141)(52, 100)(53, 103)(54, 96)(55, 101)(56, 106)(57, 136)(58, 104)(59, 110)(60, 143)(61, 144)(62, 108)(63, 112)(64, 129)(65, 114)(66, 117)(67, 115)(68, 120)(69, 123)(70, 118)(71, 132)(72, 133)(145, 219)(146, 222)(147, 217)(148, 228)(149, 230)(150, 218)(151, 234)(152, 236)(153, 238)(154, 240)(155, 241)(156, 220)(157, 246)(158, 221)(159, 252)(160, 254)(161, 255)(162, 223)(163, 260)(164, 224)(165, 265)(166, 225)(167, 270)(168, 226)(169, 227)(170, 258)(171, 273)(172, 256)(173, 261)(174, 229)(175, 259)(176, 262)(177, 267)(178, 264)(179, 278)(180, 231)(181, 275)(182, 232)(183, 233)(184, 244)(185, 285)(186, 242)(187, 247)(188, 235)(189, 245)(190, 248)(191, 280)(192, 250)(193, 237)(194, 281)(195, 249)(196, 279)(197, 283)(198, 239)(199, 282)(200, 284)(201, 243)(202, 286)(203, 253)(204, 288)(205, 287)(206, 251)(207, 268)(208, 263)(209, 266)(210, 271)(211, 269)(212, 272)(213, 257)(214, 274)(215, 277)(216, 276)
	local type(s) :: { ( 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6 ) }
Outer automorphisms :: reflexible
Dual of E13.1163
Transitivity :: VT+
Graph:: bipartite
	v = 24 e = 144 f = 96
	degree seq :: [ 12^24 ]

E13.1172 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 3, 3})
Quotient :: loop^2
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, (Y2 * Y1)^2, (R * Y3)^2, R * Y1 * R * Y2, Y3 * Y2 * Y3^-1 * Y2 * Y3^-1 * Y1 * Y3 * Y2, Y3 * Y1 * Y3 * Y1 * Y3^-1 * Y2 * Y3^-1 * Y2, Y3 * Y1 * Y3 * Y2 * Y3^-1 * Y1 * Y3^-1 * Y1, (Y2 * Y1 * Y3^-1)^3, Y1 * Y3^-1 * Y1 * Y2 * Y3^-1 * Y1 * Y2 * Y3^-1 * Y2 ]
Map::
	R = (1, 73, 145, 217, 4, 76, 148, 220, 5, 77, 149, 221)(2, 74, 146, 218, 7, 79, 151, 223, 8, 80, 152, 224)(3, 75, 147, 219, 9, 81, 153, 225, 10, 82, 154, 226)(6, 78, 150, 222, 15, 87, 159, 231, 16, 88, 160, 232)(11, 83, 155, 227, 26, 98, 170, 242, 27, 99, 171, 243)(12, 84, 156, 228, 28, 100, 172, 244, 29, 101, 173, 245)(13, 85, 157, 229, 31, 103, 175, 247, 32, 104, 176, 248)(14, 86, 158, 230, 33, 105, 177, 249, 34, 106, 178, 250)(17, 89, 161, 233, 40, 112, 184, 256, 41, 113, 185, 257)(18, 90, 162, 234, 42, 114, 186, 258, 43, 115, 187, 259)(19, 91, 163, 235, 45, 117, 189, 261, 46, 118, 190, 262)(20, 92, 164, 236, 47, 119, 191, 263, 48, 120, 192, 264)(21, 93, 165, 237, 50, 122, 194, 266, 51, 123, 195, 267)(22, 94, 166, 238, 52, 124, 196, 268, 53, 125, 197, 269)(23, 95, 167, 239, 55, 127, 199, 271, 56, 128, 200, 272)(24, 96, 168, 240, 57, 129, 201, 273, 58, 130, 202, 274)(25, 97, 169, 241, 59, 131, 203, 275, 60, 132, 204, 276)(30, 102, 174, 246, 61, 133, 205, 277, 62, 134, 206, 278)(35, 107, 179, 251, 63, 135, 207, 279, 64, 136, 208, 280)(36, 108, 180, 252, 65, 137, 209, 281, 66, 138, 210, 282)(37, 109, 181, 253, 67, 139, 211, 283, 68, 140, 212, 284)(38, 110, 182, 254, 69, 141, 213, 285, 70, 142, 214, 286)(39, 111, 183, 255, 54, 126, 198, 270, 71, 143, 215, 287)(44, 116, 188, 260, 72, 144, 216, 288, 49, 121, 193, 265)
	L = (1, 74)(2, 73)(3, 78)(4, 83)(5, 85)(6, 75)(7, 89)(8, 91)(9, 93)(10, 95)(11, 76)(12, 97)(13, 77)(14, 102)(15, 107)(16, 109)(17, 79)(18, 111)(19, 80)(20, 116)(21, 81)(22, 121)(23, 82)(24, 126)(25, 84)(26, 124)(27, 129)(28, 122)(29, 117)(30, 86)(31, 115)(32, 128)(33, 123)(34, 130)(35, 87)(36, 134)(37, 88)(38, 131)(39, 90)(40, 137)(41, 141)(42, 135)(43, 103)(44, 92)(45, 101)(46, 140)(47, 136)(48, 142)(49, 94)(50, 100)(51, 105)(52, 98)(53, 139)(54, 96)(55, 138)(56, 104)(57, 99)(58, 106)(59, 110)(60, 143)(61, 144)(62, 108)(63, 114)(64, 119)(65, 112)(66, 127)(67, 125)(68, 118)(69, 113)(70, 120)(71, 132)(72, 133)(145, 219)(146, 222)(147, 217)(148, 228)(149, 230)(150, 218)(151, 234)(152, 236)(153, 238)(154, 240)(155, 241)(156, 220)(157, 246)(158, 221)(159, 252)(160, 254)(161, 255)(162, 223)(163, 260)(164, 224)(165, 265)(166, 225)(167, 270)(168, 226)(169, 227)(170, 256)(171, 263)(172, 258)(173, 271)(174, 229)(175, 269)(176, 264)(177, 257)(178, 262)(179, 278)(180, 231)(181, 275)(182, 232)(183, 233)(184, 242)(185, 249)(186, 244)(187, 283)(188, 235)(189, 282)(190, 250)(191, 243)(192, 248)(193, 237)(194, 279)(195, 285)(196, 281)(197, 247)(198, 239)(199, 245)(200, 286)(201, 280)(202, 284)(203, 253)(204, 288)(205, 287)(206, 251)(207, 266)(208, 273)(209, 268)(210, 261)(211, 259)(212, 274)(213, 267)(214, 272)(215, 277)(216, 276)
	local type(s) :: { ( 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6 ) }
Outer automorphisms :: reflexible
Dual of E13.1164
Transitivity :: VT+
Graph:: bipartite
	v = 24 e = 144 f = 96
	degree seq :: [ 12^24 ]

E13.1173 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 3, 3})
Quotient :: loop^2
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, Y2 * Y1, Y3^3, (R * Y3)^2, R * Y1 * R * Y2, (Y1 * Y3)^6, Y3 * Y1 * Y3 * Y1 * Y3^-1 * Y1 * Y3 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3 * Y1 * Y3^-1 * Y1 ]
Map::
	R = (1, 73, 145, 217, 3, 75, 147, 219, 4, 76, 148, 220)(2, 74, 146, 218, 5, 77, 149, 221, 6, 78, 150, 222)(7, 79, 151, 223, 11, 83, 155, 227, 12, 84, 156, 228)(8, 80, 152, 224, 13, 85, 157, 229, 14, 86, 158, 230)(9, 81, 153, 225, 15, 87, 159, 231, 16, 88, 160, 232)(10, 82, 154, 226, 17, 89, 161, 233, 18, 90, 162, 234)(19, 91, 163, 235, 27, 99, 171, 243, 28, 100, 172, 244)(20, 92, 164, 236, 29, 101, 173, 245, 30, 102, 174, 246)(21, 93, 165, 237, 31, 103, 175, 247, 32, 104, 176, 248)(22, 94, 166, 238, 33, 105, 177, 249, 34, 106, 178, 250)(23, 95, 167, 239, 35, 107, 179, 251, 36, 108, 180, 252)(24, 96, 168, 240, 37, 109, 181, 253, 38, 110, 182, 254)(25, 97, 169, 241, 39, 111, 183, 255, 40, 112, 184, 256)(26, 98, 170, 242, 41, 113, 185, 257, 42, 114, 186, 258)(43, 115, 187, 259, 55, 127, 199, 271, 56, 128, 200, 272)(44, 116, 188, 260, 57, 129, 201, 273, 58, 130, 202, 274)(45, 117, 189, 261, 59, 131, 203, 275, 46, 118, 190, 262)(47, 119, 191, 263, 60, 132, 204, 276, 61, 133, 205, 277)(48, 120, 192, 264, 62, 134, 206, 278, 63, 135, 207, 279)(49, 121, 193, 265, 64, 136, 208, 280, 65, 137, 209, 281)(50, 122, 194, 266, 66, 138, 210, 282, 67, 139, 211, 283)(51, 123, 195, 267, 68, 140, 212, 284, 52, 124, 196, 268)(53, 125, 197, 269, 69, 141, 213, 285, 70, 142, 214, 286)(54, 126, 198, 270, 71, 143, 215, 287, 72, 144, 216, 288)
	L = (1, 74)(2, 73)(3, 79)(4, 80)(5, 81)(6, 82)(7, 75)(8, 76)(9, 77)(10, 78)(11, 91)(12, 92)(13, 93)(14, 94)(15, 95)(16, 96)(17, 97)(18, 98)(19, 83)(20, 84)(21, 85)(22, 86)(23, 87)(24, 88)(25, 89)(26, 90)(27, 114)(28, 115)(29, 116)(30, 117)(31, 118)(32, 119)(33, 120)(34, 107)(35, 106)(36, 121)(37, 122)(38, 123)(39, 124)(40, 125)(41, 126)(42, 99)(43, 100)(44, 101)(45, 102)(46, 103)(47, 104)(48, 105)(49, 108)(50, 109)(51, 110)(52, 111)(53, 112)(54, 113)(55, 138)(56, 137)(57, 136)(58, 141)(59, 140)(60, 139)(61, 144)(62, 143)(63, 142)(64, 129)(65, 128)(66, 127)(67, 132)(68, 131)(69, 130)(70, 135)(71, 134)(72, 133)(145, 218)(146, 217)(147, 223)(148, 224)(149, 225)(150, 226)(151, 219)(152, 220)(153, 221)(154, 222)(155, 235)(156, 236)(157, 237)(158, 238)(159, 239)(160, 240)(161, 241)(162, 242)(163, 227)(164, 228)(165, 229)(166, 230)(167, 231)(168, 232)(169, 233)(170, 234)(171, 258)(172, 259)(173, 260)(174, 261)(175, 262)(176, 263)(177, 264)(178, 251)(179, 250)(180, 265)(181, 266)(182, 267)(183, 268)(184, 269)(185, 270)(186, 243)(187, 244)(188, 245)(189, 246)(190, 247)(191, 248)(192, 249)(193, 252)(194, 253)(195, 254)(196, 255)(197, 256)(198, 257)(199, 282)(200, 281)(201, 280)(202, 285)(203, 284)(204, 283)(205, 288)(206, 287)(207, 286)(208, 273)(209, 272)(210, 271)(211, 276)(212, 275)(213, 274)(214, 279)(215, 278)(216, 277)
	local type(s) :: { ( 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6 ) }
Outer automorphisms :: reflexible
Dual of E13.1165
Transitivity :: VT+
Graph:: bipartite
	v = 24 e = 144 f = 96
	degree seq :: [ 12^24 ]

E13.1174 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 3, 3})
Quotient :: loop^2
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 * Y2 * R * Y1, Y2 * Y3 * Y2 * Y1 * Y2 * Y3^-1, Y1 * Y2 * Y1 * Y3 * Y1 * Y3^-1, (Y3^-1 * Y1 * Y3 * Y2)^2, (Y1 * Y3^-1 * Y2)^3 ]
Map::
	R = (1, 73, 145, 217, 4, 76, 148, 220, 5, 77, 149, 221)(2, 74, 146, 218, 7, 79, 151, 223, 8, 80, 152, 224)(3, 75, 147, 219, 10, 82, 154, 226, 11, 83, 155, 227)(6, 78, 150, 222, 17, 89, 161, 233, 18, 90, 162, 234)(9, 81, 153, 225, 19, 91, 163, 235, 24, 96, 168, 240)(12, 84, 156, 228, 29, 101, 173, 245, 16, 88, 160, 232)(13, 85, 157, 229, 30, 102, 174, 246, 31, 103, 175, 247)(14, 86, 158, 230, 32, 104, 176, 248, 33, 105, 177, 249)(15, 87, 159, 231, 23, 95, 167, 239, 35, 107, 179, 251)(20, 92, 164, 236, 41, 113, 185, 257, 42, 114, 186, 258)(21, 93, 165, 237, 43, 115, 187, 259, 44, 116, 188, 260)(22, 94, 166, 238, 36, 108, 180, 252, 46, 118, 190, 262)(25, 97, 169, 241, 51, 123, 195, 267, 47, 119, 191, 263)(26, 98, 170, 242, 52, 124, 196, 268, 53, 125, 197, 269)(27, 99, 171, 243, 54, 126, 198, 270, 55, 127, 199, 271)(28, 100, 172, 244, 56, 128, 200, 272, 57, 129, 201, 273)(34, 106, 178, 250, 59, 131, 203, 275, 60, 132, 204, 276)(37, 109, 181, 253, 63, 135, 207, 279, 62, 134, 206, 278)(38, 110, 182, 254, 48, 120, 192, 264, 64, 136, 208, 280)(39, 111, 183, 255, 65, 137, 209, 281, 66, 138, 210, 282)(40, 112, 184, 256, 67, 139, 211, 283, 68, 140, 212, 284)(45, 117, 189, 261, 69, 141, 213, 285, 50, 122, 194, 266)(49, 121, 193, 265, 71, 143, 215, 287, 70, 142, 214, 286)(58, 130, 202, 274, 72, 144, 216, 288, 61, 133, 205, 277)
	L = (1, 74)(2, 73)(3, 81)(4, 84)(5, 86)(6, 88)(7, 91)(8, 93)(9, 75)(10, 97)(11, 99)(12, 76)(13, 98)(14, 77)(15, 106)(16, 78)(17, 109)(18, 111)(19, 79)(20, 110)(21, 80)(22, 117)(23, 119)(24, 120)(25, 82)(26, 85)(27, 83)(28, 105)(29, 124)(30, 123)(31, 114)(32, 131)(33, 100)(34, 87)(35, 133)(36, 134)(37, 89)(38, 92)(39, 90)(40, 116)(41, 135)(42, 103)(43, 141)(44, 112)(45, 94)(46, 142)(47, 95)(48, 96)(49, 128)(50, 127)(51, 102)(52, 101)(53, 140)(54, 137)(55, 122)(56, 121)(57, 136)(58, 139)(59, 104)(60, 138)(61, 107)(62, 108)(63, 113)(64, 129)(65, 126)(66, 132)(67, 130)(68, 125)(69, 115)(70, 118)(71, 144)(72, 143)(145, 219)(146, 222)(147, 217)(148, 229)(149, 231)(150, 218)(151, 236)(152, 238)(153, 239)(154, 242)(155, 234)(156, 244)(157, 220)(158, 237)(159, 221)(160, 252)(161, 254)(162, 227)(163, 256)(164, 223)(165, 230)(166, 224)(167, 225)(168, 265)(169, 266)(170, 226)(171, 264)(172, 228)(173, 274)(174, 250)(175, 273)(176, 270)(177, 262)(178, 246)(179, 260)(180, 232)(181, 276)(182, 233)(183, 268)(184, 235)(185, 261)(186, 284)(187, 281)(188, 251)(189, 257)(190, 249)(191, 287)(192, 243)(193, 240)(194, 241)(195, 279)(196, 255)(197, 285)(198, 248)(199, 286)(200, 283)(201, 247)(202, 245)(203, 280)(204, 253)(205, 282)(206, 288)(207, 267)(208, 275)(209, 259)(210, 277)(211, 272)(212, 258)(213, 269)(214, 271)(215, 263)(216, 278)
	local type(s) :: { ( 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6 ) }
Outer automorphisms :: reflexible
Dual of E13.1161
Transitivity :: VT+
Graph:: bipartite
	v = 24 e = 144 f = 96
	degree seq :: [ 12^24 ]

E13.1175 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 3, 3})
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, Y2^3, Y1^3, (Y2^-1, Y1), R * Y1 * R * Y2, (R * Y3)^2, Y2^-1 * Y3 * Y2^-1 * Y1^-1 * Y3 * Y1^-1, (Y3 * Y1^-1)^4, Y3 * Y1 * Y3 * Y2 * Y3 * Y1 * Y3 * Y2 * Y3 * Y2^-1 * Y3 * Y1^-1, (Y3 * Y1 * Y3 * Y1^-1)^3 ]
Map:: polyhedral non-degenerate
	R = (1, 73, 145, 217, 4, 76, 148, 220)(2, 74, 146, 218, 8, 80, 152, 224)(3, 75, 147, 219, 10, 82, 154, 226)(5, 77, 149, 221, 16, 88, 160, 232)(6, 78, 150, 222, 18, 90, 162, 234)(7, 79, 151, 223, 19, 91, 163, 235)(9, 81, 153, 225, 24, 96, 168, 240)(11, 83, 155, 227, 29, 101, 173, 245)(12, 84, 156, 228, 31, 103, 175, 247)(13, 85, 157, 229, 33, 105, 177, 249)(14, 86, 158, 230, 35, 107, 179, 251)(15, 87, 159, 231, 36, 108, 180, 252)(17, 89, 161, 233, 30, 102, 174, 246)(20, 92, 164, 236, 41, 113, 185, 257)(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, 45, 117, 189, 261)(26, 98, 170, 242, 46, 118, 190, 262)(27, 99, 171, 243, 47, 119, 191, 263)(28, 100, 172, 244, 48, 120, 192, 264)(32, 104, 176, 248, 52, 124, 196, 268)(34, 106, 178, 250, 56, 128, 200, 272)(37, 109, 181, 253, 59, 131, 203, 275)(38, 110, 182, 254, 51, 123, 195, 267)(39, 111, 183, 255, 54, 126, 198, 270)(40, 112, 184, 256, 60, 132, 204, 276)(49, 121, 193, 265, 64, 136, 208, 280)(50, 122, 194, 266, 65, 137, 209, 281)(53, 125, 197, 269, 66, 138, 210, 282)(55, 127, 199, 271, 67, 139, 211, 283)(57, 129, 201, 273, 68, 140, 212, 284)(58, 130, 202, 274, 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, 77)(3, 79)(4, 84)(5, 73)(6, 81)(7, 83)(8, 92)(9, 89)(10, 97)(11, 75)(12, 86)(13, 102)(14, 76)(15, 104)(16, 109)(17, 78)(18, 111)(19, 87)(20, 94)(21, 90)(22, 80)(23, 112)(24, 100)(25, 99)(26, 88)(27, 82)(28, 110)(29, 95)(30, 106)(31, 118)(32, 91)(33, 125)(34, 85)(35, 129)(36, 119)(37, 98)(38, 96)(39, 93)(40, 101)(41, 107)(42, 133)(43, 135)(44, 124)(45, 132)(46, 122)(47, 121)(48, 114)(49, 108)(50, 103)(51, 130)(52, 127)(53, 126)(54, 105)(55, 116)(56, 123)(57, 113)(58, 128)(59, 115)(60, 134)(61, 120)(62, 117)(63, 131)(64, 143)(65, 144)(66, 141)(67, 136)(68, 137)(69, 142)(70, 138)(71, 139)(72, 140)(145, 219)(146, 223)(147, 222)(148, 229)(149, 227)(150, 217)(151, 225)(152, 237)(153, 218)(154, 242)(155, 233)(156, 246)(157, 231)(158, 250)(159, 220)(160, 254)(161, 221)(162, 256)(163, 230)(164, 234)(165, 239)(166, 255)(167, 224)(168, 243)(169, 232)(170, 244)(171, 253)(172, 226)(173, 238)(174, 248)(175, 265)(176, 228)(177, 257)(178, 235)(179, 260)(180, 274)(181, 240)(182, 241)(183, 245)(184, 236)(185, 271)(186, 275)(187, 261)(188, 269)(189, 277)(190, 252)(191, 272)(192, 279)(193, 267)(194, 263)(195, 247)(196, 270)(197, 251)(198, 273)(199, 249)(200, 266)(201, 268)(202, 262)(203, 278)(204, 264)(205, 259)(206, 258)(207, 276)(208, 284)(209, 282)(210, 287)(211, 288)(212, 286)(213, 283)(214, 280)(215, 281)(216, 285)
	local type(s) :: { ( 3, 4, 3, 4, 3, 4, 3, 4 ) }
Outer automorphisms :: reflexible
Dual of E13.1167
Transitivity :: VT+
Graph:: simple
	v = 36 e = 144 f = 84
	degree seq :: [ 8^36 ]

E13.1176 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 3, 3})
Quotient :: loop^2
Aut^+ = C3 x S4 (small group id <72, 42>)
Aut   = C6 x S4 (small group id <144, 188>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2^-1 * Y1^-1, Y1^2 * Y2^-1, Y2^3, (R * Y3)^2, R * Y2 * R * Y1, Y3 * Y1 * Y3 * Y2 * Y3 * 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 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1, Y3 * Y2 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y2^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1, Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y1^-1, Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 73, 145, 217, 4, 76, 148, 220)(2, 74, 146, 218, 5, 77, 149, 221)(3, 75, 147, 219, 6, 78, 150, 222)(7, 79, 151, 223, 13, 85, 157, 229)(8, 80, 152, 224, 14, 86, 158, 230)(9, 81, 153, 225, 15, 87, 159, 231)(10, 82, 154, 226, 16, 88, 160, 232)(11, 83, 155, 227, 17, 89, 161, 233)(12, 84, 156, 228, 18, 90, 162, 234)(19, 91, 163, 235, 31, 103, 175, 247)(20, 92, 164, 236, 32, 104, 176, 248)(21, 93, 165, 237, 33, 105, 177, 249)(22, 94, 166, 238, 34, 106, 178, 250)(23, 95, 167, 239, 35, 107, 179, 251)(24, 96, 168, 240, 36, 108, 180, 252)(25, 97, 169, 241, 37, 109, 181, 253)(26, 98, 170, 242, 38, 110, 182, 254)(27, 99, 171, 243, 39, 111, 183, 255)(28, 100, 172, 244, 40, 112, 184, 256)(29, 101, 173, 245, 41, 113, 185, 257)(30, 102, 174, 246, 42, 114, 186, 258)(43, 115, 187, 259, 58, 130, 202, 274)(44, 116, 188, 260, 59, 131, 203, 275)(45, 117, 189, 261, 60, 132, 204, 276)(46, 118, 190, 262, 61, 133, 205, 277)(47, 119, 191, 263, 62, 134, 206, 278)(48, 120, 192, 264, 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)(52, 124, 196, 268, 67, 139, 211, 283)(53, 125, 197, 269, 68, 140, 212, 284)(54, 126, 198, 270, 69, 141, 213, 285)(55, 127, 199, 271, 70, 142, 214, 286)(56, 128, 200, 272, 71, 143, 215, 287)(57, 129, 201, 273, 72, 144, 216, 288)
	L = (1, 74)(2, 75)(3, 73)(4, 79)(5, 81)(6, 83)(7, 80)(8, 76)(9, 82)(10, 77)(11, 84)(12, 78)(13, 91)(14, 93)(15, 95)(16, 97)(17, 99)(18, 101)(19, 92)(20, 85)(21, 94)(22, 86)(23, 96)(24, 87)(25, 98)(26, 88)(27, 100)(28, 89)(29, 102)(30, 90)(31, 115)(32, 109)(33, 118)(34, 119)(35, 121)(36, 113)(37, 117)(38, 124)(39, 126)(40, 105)(41, 123)(42, 128)(43, 116)(44, 103)(45, 104)(46, 112)(47, 120)(48, 106)(49, 122)(50, 107)(51, 108)(52, 125)(53, 110)(54, 127)(55, 111)(56, 129)(57, 114)(58, 136)(59, 134)(60, 142)(61, 137)(62, 138)(63, 140)(64, 141)(65, 139)(66, 131)(67, 133)(68, 144)(69, 130)(70, 143)(71, 132)(72, 135)(145, 219)(146, 217)(147, 218)(148, 224)(149, 226)(150, 228)(151, 220)(152, 223)(153, 221)(154, 225)(155, 222)(156, 227)(157, 236)(158, 238)(159, 240)(160, 242)(161, 244)(162, 246)(163, 229)(164, 235)(165, 230)(166, 237)(167, 231)(168, 239)(169, 232)(170, 241)(171, 233)(172, 243)(173, 234)(174, 245)(175, 260)(176, 261)(177, 256)(178, 264)(179, 266)(180, 267)(181, 248)(182, 269)(183, 271)(184, 262)(185, 252)(186, 273)(187, 247)(188, 259)(189, 253)(190, 249)(191, 250)(192, 263)(193, 251)(194, 265)(195, 257)(196, 254)(197, 268)(198, 255)(199, 270)(200, 258)(201, 272)(202, 285)(203, 282)(204, 287)(205, 283)(206, 275)(207, 288)(208, 274)(209, 277)(210, 278)(211, 281)(212, 279)(213, 280)(214, 276)(215, 286)(216, 284)
	local type(s) :: { ( 3, 4, 3, 4, 3, 4, 3, 4 ) }
Outer automorphisms :: reflexible
Dual of E13.1168
Transitivity :: VT+
Graph::
	v = 36 e = 144 f = 84
	degree seq :: [ 8^36 ]

E13.1177 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 3})
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 * Y2, Y3^-1 * Y2 * Y3 * Y2, (R * Y2)^2, (R * Y1)^2, (R * Y3)^2, (Y3 * Y1)^3, Y3 * Y1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y2 * Y1 * Y2 ]
Map:: polytopal non-degenerate
	R = (1, 73, 2, 74)(3, 75, 9, 81)(4, 76, 12, 84)(5, 77, 13, 85)(6, 78, 14, 86)(7, 79, 17, 89)(8, 80, 18, 90)(10, 82, 22, 94)(11, 83, 23, 95)(15, 87, 31, 103)(16, 88, 32, 104)(19, 91, 37, 109)(20, 92, 40, 112)(21, 93, 41, 113)(24, 96, 46, 118)(25, 97, 45, 117)(26, 98, 47, 119)(27, 99, 43, 115)(28, 100, 48, 120)(29, 101, 51, 123)(30, 102, 52, 124)(33, 105, 57, 129)(34, 106, 56, 128)(35, 107, 58, 130)(36, 108, 54, 126)(38, 110, 53, 125)(39, 111, 55, 127)(42, 114, 49, 121)(44, 116, 50, 122)(59, 131, 66, 138)(60, 132, 69, 141)(61, 133, 71, 143)(62, 134, 67, 139)(63, 135, 70, 142)(64, 136, 68, 140)(65, 137, 72, 144)(145, 217, 147, 219)(146, 218, 150, 222)(148, 220, 154, 226)(149, 221, 155, 227)(151, 223, 159, 231)(152, 224, 160, 232)(153, 225, 163, 235)(156, 228, 168, 240)(157, 229, 170, 242)(158, 230, 172, 244)(161, 233, 177, 249)(162, 234, 179, 251)(164, 236, 182, 254)(165, 237, 183, 255)(166, 238, 186, 258)(167, 239, 188, 260)(169, 241, 180, 252)(171, 243, 178, 250)(173, 245, 193, 265)(174, 246, 194, 266)(175, 247, 197, 269)(176, 248, 199, 271)(181, 253, 203, 275)(184, 256, 206, 278)(185, 257, 208, 280)(187, 259, 209, 281)(189, 261, 207, 279)(190, 262, 204, 276)(191, 263, 205, 277)(192, 264, 210, 282)(195, 267, 213, 285)(196, 268, 215, 287)(198, 270, 216, 288)(200, 272, 214, 286)(201, 273, 211, 283)(202, 274, 212, 284)
	L = (1, 148)(2, 151)(3, 154)(4, 155)(5, 145)(6, 159)(7, 160)(8, 146)(9, 164)(10, 149)(11, 147)(12, 162)(13, 171)(14, 173)(15, 152)(16, 150)(17, 157)(18, 180)(19, 182)(20, 183)(21, 153)(22, 185)(23, 189)(24, 179)(25, 156)(26, 178)(27, 177)(28, 193)(29, 194)(30, 158)(31, 196)(32, 200)(33, 170)(34, 161)(35, 169)(36, 168)(37, 204)(38, 165)(39, 163)(40, 167)(41, 209)(42, 208)(43, 166)(44, 207)(45, 206)(46, 205)(47, 203)(48, 211)(49, 174)(50, 172)(51, 176)(52, 216)(53, 215)(54, 175)(55, 214)(56, 213)(57, 212)(58, 210)(59, 190)(60, 191)(61, 181)(62, 188)(63, 184)(64, 187)(65, 186)(66, 201)(67, 202)(68, 192)(69, 199)(70, 195)(71, 198)(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) :: { ( 6^4 ) }
Outer automorphisms :: reflexible
Dual of E13.1194
Graph:: simple bipartite
	v = 72 e = 144 f = 48
	degree seq :: [ 4^72 ]

E13.1178 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 3})
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, R^2, Y2^3, Y3^3, (Y3, Y2), (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, (Y3^-1 * Y1)^2, (Y1 * Y2 * Y1 * Y2^-1)^2 ]
Map:: polytopal non-degenerate
	R = (1, 73, 2, 74)(3, 75, 11, 83)(4, 76, 10, 82)(5, 77, 15, 87)(6, 78, 8, 80)(7, 79, 17, 89)(9, 81, 21, 93)(12, 84, 26, 98)(13, 85, 24, 96)(14, 86, 27, 99)(16, 88, 29, 101)(18, 90, 34, 106)(19, 91, 32, 104)(20, 92, 35, 107)(22, 94, 37, 109)(23, 95, 39, 111)(25, 97, 33, 105)(28, 100, 36, 108)(30, 102, 48, 120)(31, 103, 49, 121)(38, 110, 58, 130)(40, 112, 61, 133)(41, 113, 60, 132)(42, 114, 53, 125)(43, 115, 52, 124)(44, 116, 56, 128)(45, 117, 62, 134)(46, 118, 54, 126)(47, 119, 63, 135)(50, 122, 66, 138)(51, 123, 65, 137)(55, 127, 67, 139)(57, 129, 68, 140)(59, 131, 64, 136)(69, 141, 72, 144)(70, 142, 71, 143)(145, 217, 147, 219, 149, 221)(146, 218, 151, 223, 153, 225)(148, 220, 156, 228, 158, 230)(150, 222, 157, 229, 160, 232)(152, 224, 162, 234, 164, 236)(154, 226, 163, 235, 166, 238)(155, 227, 167, 239, 169, 241)(159, 231, 172, 244, 174, 246)(161, 233, 175, 247, 177, 249)(165, 237, 180, 252, 182, 254)(168, 240, 184, 256, 186, 258)(170, 242, 185, 257, 187, 259)(171, 243, 188, 260, 189, 261)(173, 245, 190, 262, 191, 263)(176, 248, 194, 266, 196, 268)(178, 250, 195, 267, 197, 269)(179, 251, 198, 270, 199, 271)(181, 253, 200, 272, 201, 273)(183, 255, 203, 275, 192, 264)(193, 265, 208, 280, 202, 274)(204, 276, 213, 285, 206, 278)(205, 277, 214, 286, 207, 279)(209, 281, 215, 287, 211, 283)(210, 282, 216, 288, 212, 284)
	L = (1, 148)(2, 152)(3, 156)(4, 150)(5, 158)(6, 145)(7, 162)(8, 154)(9, 164)(10, 146)(11, 168)(12, 157)(13, 147)(14, 160)(15, 173)(16, 149)(17, 176)(18, 163)(19, 151)(20, 166)(21, 181)(22, 153)(23, 184)(24, 170)(25, 186)(26, 155)(27, 159)(28, 190)(29, 171)(30, 191)(31, 194)(32, 178)(33, 196)(34, 161)(35, 165)(36, 200)(37, 179)(38, 201)(39, 204)(40, 185)(41, 167)(42, 187)(43, 169)(44, 172)(45, 174)(46, 188)(47, 189)(48, 206)(49, 209)(50, 195)(51, 175)(52, 197)(53, 177)(54, 180)(55, 182)(56, 198)(57, 199)(58, 211)(59, 213)(60, 205)(61, 183)(62, 207)(63, 192)(64, 215)(65, 210)(66, 193)(67, 212)(68, 202)(69, 214)(70, 203)(71, 216)(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, 6, 4, 6 ), ( 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible
Dual of E13.1187
Graph:: simple bipartite
	v = 60 e = 144 f = 60
	degree seq :: [ 4^36, 6^24 ]

E13.1179 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 3})
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, R^2, Y2^3, (R * Y3)^2, (R * Y1)^2, (Y3 * Y1)^2, Y2^-1 * Y1 * Y2 * Y1, (R * Y2 * Y3^-1)^2, (Y3 * Y2^-1)^3, Y3^-2 * Y2 * Y3^2 * Y2^-1, (Y3^-1 * Y2^-1)^3, Y3^6 ]
Map:: polyhedral non-degenerate
	R = (1, 73, 2, 74)(3, 75, 7, 79)(4, 76, 10, 82)(5, 77, 9, 81)(6, 78, 8, 80)(11, 83, 22, 94)(12, 84, 21, 93)(13, 85, 28, 100)(14, 86, 30, 102)(15, 87, 29, 101)(16, 88, 27, 99)(17, 89, 26, 98)(18, 90, 23, 95)(19, 91, 25, 97)(20, 92, 24, 96)(31, 103, 49, 121)(32, 104, 51, 123)(33, 105, 50, 122)(34, 106, 46, 118)(35, 107, 48, 120)(36, 108, 47, 119)(37, 109, 58, 130)(38, 110, 53, 125)(39, 111, 54, 126)(40, 112, 60, 132)(41, 113, 56, 128)(42, 114, 59, 131)(43, 115, 52, 124)(44, 116, 57, 129)(45, 117, 55, 127)(61, 133, 67, 139)(62, 134, 68, 140)(63, 135, 69, 141)(64, 136, 70, 142)(65, 137, 71, 143)(66, 138, 72, 144)(145, 217, 147, 219, 149, 221)(146, 218, 151, 223, 153, 225)(148, 220, 157, 229, 159, 231)(150, 222, 162, 234, 163, 235)(152, 224, 167, 239, 169, 241)(154, 226, 172, 244, 173, 245)(155, 227, 175, 247, 177, 249)(156, 228, 178, 250, 179, 251)(158, 230, 176, 248, 184, 256)(160, 232, 186, 258, 187, 259)(161, 233, 188, 260, 181, 253)(164, 236, 180, 252, 189, 261)(165, 237, 190, 262, 192, 264)(166, 238, 193, 265, 194, 266)(168, 240, 191, 263, 199, 271)(170, 242, 201, 273, 202, 274)(171, 243, 203, 275, 196, 268)(174, 246, 195, 267, 204, 276)(182, 254, 209, 281, 207, 279)(183, 255, 208, 280, 205, 277)(185, 257, 210, 282, 206, 278)(197, 269, 215, 287, 213, 285)(198, 270, 214, 286, 211, 283)(200, 272, 216, 288, 212, 284)
	L = (1, 148)(2, 152)(3, 155)(4, 158)(5, 160)(6, 145)(7, 165)(8, 168)(9, 170)(10, 146)(11, 176)(12, 147)(13, 181)(14, 183)(15, 178)(16, 184)(17, 149)(18, 182)(19, 185)(20, 150)(21, 191)(22, 151)(23, 196)(24, 198)(25, 193)(26, 199)(27, 153)(28, 197)(29, 200)(30, 154)(31, 163)(32, 206)(33, 188)(34, 205)(35, 207)(36, 156)(37, 208)(38, 157)(39, 164)(40, 209)(41, 159)(42, 179)(43, 162)(44, 210)(45, 161)(46, 173)(47, 212)(48, 203)(49, 211)(50, 213)(51, 166)(52, 214)(53, 167)(54, 174)(55, 215)(56, 169)(57, 194)(58, 172)(59, 216)(60, 171)(61, 175)(62, 180)(63, 177)(64, 187)(65, 189)(66, 186)(67, 190)(68, 195)(69, 192)(70, 202)(71, 204)(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 ) }
Outer automorphisms :: reflexible
Dual of E13.1191
Graph:: simple bipartite
	v = 60 e = 144 f = 60
	degree seq :: [ 4^36, 6^24 ]

E13.1180 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 3})
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, R^2, Y2^3, (Y3 * Y1)^2, (Y1 * Y3^-1)^2, (R * Y1)^2, (R * Y3)^2, (Y3^-1 * Y1)^2, (R * Y2 * Y3^-1)^2, Y2 * Y3 * Y1 * Y2^-1 * Y3 * Y1, Y3^-2 * Y2 * Y3^2 * Y2^-1, Y2 * Y3^-1 * Y1 * Y2^-1 * Y3^-1 * Y1, (Y3 * Y2^-1)^3, Y3^6, (Y3^-1 * Y2^-1)^3, Y2 * Y1 * Y2^-1 * Y3 * Y2 * Y3^-1 * Y2^-1 * Y1 ]
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, 23, 95)(9, 81, 29, 101)(12, 84, 32, 104)(13, 85, 26, 98)(14, 86, 25, 97)(15, 87, 34, 106)(16, 88, 31, 103)(18, 90, 33, 105)(19, 91, 28, 100)(20, 92, 24, 96)(21, 93, 30, 102)(22, 94, 27, 99)(35, 107, 69, 141)(36, 108, 53, 125)(37, 109, 62, 134)(38, 110, 66, 138)(39, 111, 58, 130)(40, 112, 68, 140)(41, 113, 56, 128)(42, 114, 60, 132)(43, 115, 59, 131)(44, 116, 61, 133)(45, 117, 54, 126)(46, 118, 63, 135)(47, 119, 70, 142)(48, 120, 67, 139)(49, 121, 55, 127)(50, 122, 65, 137)(51, 123, 57, 129)(52, 124, 71, 143)(64, 136, 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, 170, 242, 172, 244)(154, 226, 176, 248, 177, 249)(155, 227, 179, 251, 180, 252)(156, 228, 181, 253, 183, 255)(157, 229, 184, 256, 185, 257)(159, 231, 182, 254, 189, 261)(161, 233, 190, 262, 191, 263)(162, 234, 192, 264, 193, 265)(163, 235, 194, 266, 187, 259)(166, 238, 186, 258, 195, 267)(167, 239, 196, 268, 197, 269)(168, 240, 198, 270, 200, 272)(169, 241, 201, 273, 202, 274)(171, 243, 199, 271, 206, 278)(173, 245, 207, 279, 208, 280)(174, 246, 209, 281, 210, 282)(175, 247, 211, 283, 204, 276)(178, 250, 203, 275, 212, 284)(188, 260, 214, 286, 213, 285)(205, 277, 216, 288, 215, 287)
	L = (1, 148)(2, 152)(3, 156)(4, 159)(5, 162)(6, 145)(7, 168)(8, 171)(9, 174)(10, 146)(11, 170)(12, 182)(13, 147)(14, 187)(15, 188)(16, 184)(17, 172)(18, 189)(19, 149)(20, 167)(21, 173)(22, 150)(23, 158)(24, 199)(25, 151)(26, 204)(27, 205)(28, 201)(29, 160)(30, 206)(31, 153)(32, 155)(33, 161)(34, 154)(35, 212)(36, 200)(37, 165)(38, 208)(39, 194)(40, 213)(41, 197)(42, 157)(43, 214)(44, 166)(45, 196)(46, 209)(47, 203)(48, 185)(49, 164)(50, 207)(51, 163)(52, 195)(53, 183)(54, 177)(55, 191)(56, 211)(57, 215)(58, 180)(59, 169)(60, 216)(61, 178)(62, 179)(63, 192)(64, 186)(65, 202)(66, 176)(67, 190)(68, 175)(69, 181)(70, 193)(71, 198)(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, 6 ), ( 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible
Dual of E13.1190
Graph:: simple bipartite
	v = 60 e = 144 f = 60
	degree seq :: [ 4^36, 6^24 ]

E13.1181 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 3})
Quotient :: dipole
Aut^+ = C3 x S4 (small group id <72, 42>)
Aut   = S3 x S4 (small group id <144, 183>)
|r| :: 2
Presentation :: [ Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, R^2, Y1^2, Y2^3, (R * Y1)^2, (R * Y3)^2, (Y3^-1 * Y1)^2, (R * Y2 * Y3^-1)^2, (Y3 * Y2^-1)^3, (Y1 * Y2^-1 * Y1 * Y2)^3, Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * 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, 8, 80)(5, 77, 9, 81)(6, 78, 10, 82)(11, 83, 19, 91)(12, 84, 20, 92)(13, 85, 21, 93)(14, 86, 22, 94)(15, 87, 23, 95)(16, 88, 24, 96)(17, 89, 25, 97)(18, 90, 26, 98)(27, 99, 43, 115)(28, 100, 44, 116)(29, 101, 37, 109)(30, 102, 45, 117)(31, 103, 46, 118)(32, 104, 40, 112)(33, 105, 47, 119)(34, 106, 48, 120)(35, 107, 49, 121)(36, 108, 50, 122)(38, 110, 51, 123)(39, 111, 52, 124)(41, 113, 53, 125)(42, 114, 54, 126)(55, 127, 64, 136)(56, 128, 69, 141)(57, 129, 66, 138)(58, 130, 70, 142)(59, 131, 71, 143)(60, 132, 65, 137)(61, 133, 67, 139)(62, 134, 68, 140)(63, 135, 72, 144)(145, 217, 147, 219, 148, 220)(146, 218, 149, 221, 150, 222)(151, 223, 155, 227, 156, 228)(152, 224, 157, 229, 158, 230)(153, 225, 159, 231, 160, 232)(154, 226, 161, 233, 162, 234)(163, 235, 171, 243, 172, 244)(164, 236, 173, 245, 174, 246)(165, 237, 175, 247, 176, 248)(166, 238, 177, 249, 178, 250)(167, 239, 179, 251, 180, 252)(168, 240, 181, 253, 182, 254)(169, 241, 183, 255, 184, 256)(170, 242, 185, 257, 186, 258)(187, 259, 199, 271, 200, 272)(188, 260, 191, 263, 201, 273)(189, 261, 202, 274, 203, 275)(190, 262, 204, 276, 205, 277)(192, 264, 206, 278, 207, 279)(193, 265, 208, 280, 209, 281)(194, 266, 197, 269, 210, 282)(195, 267, 211, 283, 212, 284)(196, 268, 213, 285, 214, 286)(198, 270, 215, 287, 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, 6, 4, 6 ), ( 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 60 e = 144 f = 60
	degree seq :: [ 4^36, 6^24 ]

E13.1182 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 3})
Quotient :: dipole
Aut^+ = A4 x S3 (small group id <72, 44>)
Aut   = S3 x S4 (small group id <144, 183>)
|r| :: 2
Presentation :: [ Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, R^2, Y1^2, Y2^3, (R * Y1)^2, (R * Y3)^2, (Y3^-1 * Y1)^2, (R * Y2 * Y3^-1)^2, (Y3 * Y2^-1)^3, (Y1 * Y2^-1)^6, Y2 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2 * Y1 * Y2^-1 * Y1 ]
Map::
	R = (1, 73, 2, 74)(3, 75, 7, 79)(4, 76, 8, 80)(5, 77, 9, 81)(6, 78, 10, 82)(11, 83, 19, 91)(12, 84, 20, 92)(13, 85, 21, 93)(14, 86, 22, 94)(15, 87, 23, 95)(16, 88, 24, 96)(17, 89, 25, 97)(18, 90, 26, 98)(27, 99, 42, 114)(28, 100, 43, 115)(29, 101, 44, 116)(30, 102, 45, 117)(31, 103, 46, 118)(32, 104, 47, 119)(33, 105, 48, 120)(34, 106, 35, 107)(36, 108, 49, 121)(37, 109, 50, 122)(38, 110, 51, 123)(39, 111, 52, 124)(40, 112, 53, 125)(41, 113, 54, 126)(55, 127, 66, 138)(56, 128, 65, 137)(57, 129, 64, 136)(58, 130, 69, 141)(59, 131, 68, 140)(60, 132, 67, 139)(61, 133, 72, 144)(62, 134, 71, 143)(63, 135, 70, 142)(145, 217, 147, 219, 148, 220)(146, 218, 149, 221, 150, 222)(151, 223, 155, 227, 156, 228)(152, 224, 157, 229, 158, 230)(153, 225, 159, 231, 160, 232)(154, 226, 161, 233, 162, 234)(163, 235, 171, 243, 172, 244)(164, 236, 173, 245, 174, 246)(165, 237, 175, 247, 176, 248)(166, 238, 177, 249, 178, 250)(167, 239, 179, 251, 180, 252)(168, 240, 181, 253, 182, 254)(169, 241, 183, 255, 184, 256)(170, 242, 185, 257, 186, 258)(187, 259, 199, 271, 200, 272)(188, 260, 201, 273, 202, 274)(189, 261, 203, 275, 190, 262)(191, 263, 204, 276, 205, 277)(192, 264, 206, 278, 207, 279)(193, 265, 208, 280, 209, 281)(194, 266, 210, 282, 211, 283)(195, 267, 212, 284, 196, 268)(197, 269, 213, 285, 214, 286)(198, 270, 215, 287, 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, 6, 4, 6 ), ( 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 60 e = 144 f = 60
	degree seq :: [ 4^36, 6^24 ]

E13.1183 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 3})
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, (R * Y3)^2, (Y3 * Y1)^2, (R * Y2 * Y3)^2, (Y3 * Y2)^3, Y1 * Y3 * Y1 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1, Y2^-1 * Y1 * Y2 * R * Y2 * Y1 * Y2^-1 * R, Y2 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1, (Y2 * Y3 * Y2^-1 * Y1)^2, (Y3 * Y2 * Y1 * Y2^-1)^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, 22, 94)(11, 83, 26, 98)(12, 84, 28, 100)(14, 86, 30, 102)(16, 88, 34, 106)(17, 89, 38, 110)(18, 90, 40, 112)(20, 92, 42, 114)(21, 93, 33, 105)(23, 95, 41, 113)(24, 96, 49, 121)(25, 97, 37, 109)(27, 99, 51, 123)(29, 101, 35, 107)(31, 103, 43, 115)(32, 104, 44, 116)(36, 108, 61, 133)(39, 111, 63, 135)(45, 117, 57, 129)(46, 118, 58, 130)(47, 119, 70, 142)(48, 120, 64, 136)(50, 122, 62, 134)(52, 124, 60, 132)(53, 125, 65, 137)(54, 126, 72, 144)(55, 127, 67, 139)(56, 128, 68, 140)(59, 131, 71, 143)(66, 138, 69, 141)(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, 173, 245, 175, 247)(158, 230, 176, 248, 171, 243)(159, 231, 177, 249, 179, 251)(160, 232, 180, 252, 181, 253)(163, 235, 185, 257, 187, 259)(164, 236, 188, 260, 183, 255)(166, 238, 190, 262, 191, 263)(170, 242, 194, 266, 192, 264)(172, 244, 196, 268, 197, 269)(174, 246, 198, 270, 199, 271)(178, 250, 202, 274, 203, 275)(182, 254, 206, 278, 204, 276)(184, 256, 208, 280, 209, 281)(186, 258, 210, 282, 211, 283)(189, 261, 213, 285, 195, 267)(193, 265, 215, 287, 200, 272)(201, 273, 216, 288, 207, 279)(205, 277, 214, 286, 212, 284)
	L = (1, 148)(2, 151)(3, 154)(4, 145)(5, 158)(6, 160)(7, 146)(8, 164)(9, 166)(10, 147)(11, 171)(12, 168)(13, 174)(14, 149)(15, 178)(16, 150)(17, 183)(18, 180)(19, 186)(20, 152)(21, 189)(22, 153)(23, 192)(24, 156)(25, 176)(26, 195)(27, 155)(28, 193)(29, 196)(30, 157)(31, 200)(32, 169)(33, 201)(34, 159)(35, 204)(36, 162)(37, 188)(38, 207)(39, 161)(40, 205)(41, 208)(42, 163)(43, 212)(44, 181)(45, 165)(46, 194)(47, 213)(48, 167)(49, 172)(50, 190)(51, 170)(52, 173)(53, 199)(54, 215)(55, 197)(56, 175)(57, 177)(58, 206)(59, 216)(60, 179)(61, 184)(62, 202)(63, 182)(64, 185)(65, 211)(66, 214)(67, 209)(68, 187)(69, 191)(70, 210)(71, 198)(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, 6, 4, 6 ), ( 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible
Dual of E13.1186
Graph:: simple bipartite
	v = 60 e = 144 f = 60
	degree seq :: [ 4^36, 6^24 ]

E13.1184 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 3})
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 * Y3)^2, (R * Y1)^2, (Y3 * Y1)^2, (Y3 * Y2^-1)^3, (R * Y2 * Y3)^2, Y1 * Y3 * Y1 * Y2 * Y3 * Y2 * Y3 * Y2, Y3 * Y2 * Y1 * Y2 * Y3 * Y2^-1 * Y1 * Y2^-1, Y2 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1, (Y2^-1 * Y1 * Y2^-1 * R)^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, 22, 94)(11, 83, 26, 98)(12, 84, 28, 100)(14, 86, 30, 102)(16, 88, 34, 106)(17, 89, 38, 110)(18, 90, 40, 112)(20, 92, 42, 114)(21, 93, 33, 105)(23, 95, 41, 113)(24, 96, 49, 121)(25, 97, 44, 116)(27, 99, 50, 122)(29, 101, 35, 107)(31, 103, 43, 115)(32, 104, 37, 109)(36, 108, 61, 133)(39, 111, 62, 134)(45, 117, 57, 129)(46, 118, 69, 141)(47, 119, 67, 139)(48, 120, 66, 138)(51, 123, 64, 136)(52, 124, 63, 135)(53, 125, 65, 137)(54, 126, 60, 132)(55, 127, 59, 131)(56, 128, 72, 144)(58, 130, 70, 142)(68, 140, 71, 143)(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, 173, 245, 175, 247)(158, 230, 176, 248, 171, 243)(159, 231, 177, 249, 179, 251)(160, 232, 180, 252, 181, 253)(163, 235, 185, 257, 187, 259)(164, 236, 188, 260, 183, 255)(166, 238, 190, 262, 191, 263)(170, 242, 189, 261, 195, 267)(172, 244, 196, 268, 197, 269)(174, 246, 199, 271, 200, 272)(178, 250, 202, 274, 203, 275)(182, 254, 201, 273, 207, 279)(184, 256, 208, 280, 209, 281)(186, 258, 211, 283, 212, 284)(192, 264, 194, 266, 214, 286)(193, 265, 198, 270, 215, 287)(204, 276, 206, 278, 213, 285)(205, 277, 210, 282, 216, 288)
	L = (1, 148)(2, 151)(3, 154)(4, 145)(5, 158)(6, 160)(7, 146)(8, 164)(9, 166)(10, 147)(11, 171)(12, 168)(13, 174)(14, 149)(15, 178)(16, 150)(17, 183)(18, 180)(19, 186)(20, 152)(21, 189)(22, 153)(23, 192)(24, 156)(25, 176)(26, 194)(27, 155)(28, 193)(29, 198)(30, 157)(31, 197)(32, 169)(33, 201)(34, 159)(35, 204)(36, 162)(37, 188)(38, 206)(39, 161)(40, 205)(41, 210)(42, 163)(43, 209)(44, 181)(45, 165)(46, 214)(47, 195)(48, 167)(49, 172)(50, 170)(51, 191)(52, 199)(53, 175)(54, 173)(55, 196)(56, 215)(57, 177)(58, 213)(59, 207)(60, 179)(61, 184)(62, 182)(63, 203)(64, 211)(65, 187)(66, 185)(67, 208)(68, 216)(69, 202)(70, 190)(71, 200)(72, 212)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 4, 6, 4, 6 ), ( 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible selfdual
Graph:: simple bipartite
	v = 60 e = 144 f = 60
	degree seq :: [ 4^36, 6^24 ]

E13.1185 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 3})
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 * Y3)^2, (R * Y1)^2, (Y3 * Y1)^2, (Y3 * Y2)^3, (R * Y2 * Y3)^2, (Y2^-1 * Y1 * Y2^-1 * R)^2, Y2 * Y3 * Y2^-1 * Y1 * Y2^-1 * Y3 * Y2 * Y1, Y1 * Y3 * 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, 13, 85)(6, 78, 15, 87)(8, 80, 19, 91)(10, 82, 22, 94)(11, 83, 26, 98)(12, 84, 28, 100)(14, 86, 30, 102)(16, 88, 34, 106)(17, 89, 38, 110)(18, 90, 40, 112)(20, 92, 42, 114)(21, 93, 45, 117)(23, 95, 49, 121)(24, 96, 51, 123)(25, 97, 44, 116)(27, 99, 52, 124)(29, 101, 56, 128)(31, 103, 60, 132)(32, 104, 37, 109)(33, 105, 46, 118)(35, 107, 58, 130)(36, 108, 63, 135)(39, 111, 64, 136)(41, 113, 48, 120)(43, 115, 55, 127)(47, 119, 61, 133)(50, 122, 66, 138)(53, 125, 67, 139)(54, 126, 62, 134)(57, 129, 65, 137)(59, 131, 68, 140)(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, 165, 237, 167, 239)(154, 226, 168, 240, 169, 241)(157, 229, 173, 245, 175, 247)(158, 230, 176, 248, 171, 243)(159, 231, 177, 249, 179, 251)(160, 232, 180, 252, 181, 253)(163, 235, 185, 257, 187, 259)(164, 236, 188, 260, 183, 255)(166, 238, 191, 263, 192, 264)(170, 242, 190, 262, 197, 269)(172, 244, 198, 270, 199, 271)(174, 246, 202, 274, 203, 275)(178, 250, 205, 277, 200, 272)(182, 254, 189, 261, 209, 281)(184, 256, 210, 282, 204, 276)(186, 258, 193, 265, 212, 284)(194, 266, 196, 268, 213, 285)(195, 267, 201, 273, 214, 286)(206, 278, 208, 280, 215, 287)(207, 279, 211, 283, 216, 288)
	L = (1, 148)(2, 151)(3, 154)(4, 145)(5, 158)(6, 160)(7, 146)(8, 164)(9, 166)(10, 147)(11, 171)(12, 168)(13, 174)(14, 149)(15, 178)(16, 150)(17, 183)(18, 180)(19, 186)(20, 152)(21, 190)(22, 153)(23, 194)(24, 156)(25, 176)(26, 196)(27, 155)(28, 195)(29, 201)(30, 157)(31, 199)(32, 169)(33, 189)(34, 159)(35, 206)(36, 162)(37, 188)(38, 208)(39, 161)(40, 207)(41, 211)(42, 163)(43, 204)(44, 181)(45, 177)(46, 165)(47, 213)(48, 197)(49, 210)(50, 167)(51, 172)(52, 170)(53, 192)(54, 202)(55, 175)(56, 209)(57, 173)(58, 198)(59, 214)(60, 187)(61, 215)(62, 179)(63, 184)(64, 182)(65, 200)(66, 193)(67, 185)(68, 216)(69, 191)(70, 203)(71, 205)(72, 212)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 4, 6, 4, 6 ), ( 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible selfdual
Graph:: simple bipartite
	v = 60 e = 144 f = 60
	degree seq :: [ 4^36, 6^24 ]

E13.1186 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 3})
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 * Y3)^2, (R * Y1)^2, (Y3 * Y2^-1)^3, (R * Y2 * Y3)^2, (Y2 * Y3 * Y2^-1 * Y1)^2, (Y3 * Y2 * Y1 * Y2^-1)^2, Y2^-1 * Y1 * Y2 * R * Y2 * Y1 * Y2^-1 * R, Y2 * Y3 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * 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, 22, 94)(11, 83, 26, 98)(12, 84, 28, 100)(14, 86, 30, 102)(16, 88, 34, 106)(17, 89, 38, 110)(18, 90, 40, 112)(20, 92, 42, 114)(21, 93, 45, 117)(23, 95, 49, 121)(24, 96, 51, 123)(25, 97, 37, 109)(27, 99, 53, 125)(29, 101, 56, 128)(31, 103, 59, 131)(32, 104, 44, 116)(33, 105, 47, 119)(35, 107, 54, 126)(36, 108, 63, 135)(39, 111, 65, 137)(41, 113, 50, 122)(43, 115, 58, 130)(46, 118, 64, 136)(48, 120, 67, 139)(52, 124, 61, 133)(55, 127, 68, 140)(57, 129, 62, 134)(60, 132, 66, 138)(69, 141, 72, 144)(70, 142, 71, 143)(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, 173, 245, 175, 247)(158, 230, 176, 248, 171, 243)(159, 231, 177, 249, 179, 251)(160, 232, 180, 252, 181, 253)(163, 235, 185, 257, 187, 259)(164, 236, 188, 260, 183, 255)(166, 238, 191, 263, 192, 264)(170, 242, 196, 268, 194, 266)(172, 244, 198, 270, 199, 271)(174, 246, 201, 273, 202, 274)(178, 250, 189, 261, 206, 278)(182, 254, 208, 280, 200, 272)(184, 256, 193, 265, 210, 282)(186, 258, 211, 283, 203, 275)(190, 262, 213, 285, 197, 269)(195, 267, 214, 286, 204, 276)(205, 277, 215, 287, 209, 281)(207, 279, 216, 288, 212, 284)
	L = (1, 148)(2, 151)(3, 154)(4, 145)(5, 158)(6, 160)(7, 146)(8, 164)(9, 166)(10, 147)(11, 171)(12, 168)(13, 174)(14, 149)(15, 178)(16, 150)(17, 183)(18, 180)(19, 186)(20, 152)(21, 190)(22, 153)(23, 194)(24, 156)(25, 176)(26, 197)(27, 155)(28, 195)(29, 198)(30, 157)(31, 204)(32, 169)(33, 205)(34, 159)(35, 200)(36, 162)(37, 188)(38, 209)(39, 161)(40, 207)(41, 193)(42, 163)(43, 212)(44, 181)(45, 208)(46, 165)(47, 196)(48, 213)(49, 185)(50, 167)(51, 172)(52, 191)(53, 170)(54, 173)(55, 202)(56, 179)(57, 214)(58, 199)(59, 210)(60, 175)(61, 177)(62, 215)(63, 184)(64, 189)(65, 182)(66, 203)(67, 216)(68, 187)(69, 192)(70, 201)(71, 206)(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 ) }
Outer automorphisms :: reflexible
Dual of E13.1183
Graph:: simple bipartite
	v = 60 e = 144 f = 60
	degree seq :: [ 4^36, 6^24 ]

E13.1187 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 3})
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, R^2, Y2^3, Y3^3, (Y2^-1, Y3^-1), (R * Y3)^2, (R * Y2)^2, (Y3^-1 * Y1)^2, (R * Y1)^2, Y3^-1 * Y1 * Y2^-1 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2, (Y2 * Y1)^6 ]
Map:: polytopal non-degenerate
	R = (1, 73, 2, 74)(3, 75, 11, 83)(4, 76, 10, 82)(5, 77, 15, 87)(6, 78, 8, 80)(7, 79, 17, 89)(9, 81, 21, 93)(12, 84, 26, 98)(13, 85, 24, 96)(14, 86, 27, 99)(16, 88, 29, 101)(18, 90, 34, 106)(19, 91, 32, 104)(20, 92, 35, 107)(22, 94, 37, 109)(23, 95, 39, 111)(25, 97, 43, 115)(28, 100, 47, 119)(30, 102, 50, 122)(31, 103, 51, 123)(33, 105, 42, 114)(36, 108, 45, 117)(38, 110, 58, 130)(40, 112, 62, 134)(41, 113, 60, 132)(44, 116, 54, 126)(46, 118, 63, 135)(48, 120, 56, 128)(49, 121, 61, 133)(52, 124, 68, 140)(53, 125, 66, 138)(55, 127, 69, 141)(57, 129, 67, 139)(59, 131, 70, 142)(64, 136, 65, 137)(71, 143, 72, 144)(145, 217, 147, 219, 149, 221)(146, 218, 151, 223, 153, 225)(148, 220, 156, 228, 158, 230)(150, 222, 157, 229, 160, 232)(152, 224, 162, 234, 164, 236)(154, 226, 163, 235, 166, 238)(155, 227, 167, 239, 169, 241)(159, 231, 172, 244, 174, 246)(161, 233, 175, 247, 177, 249)(165, 237, 180, 252, 182, 254)(168, 240, 184, 256, 186, 258)(170, 242, 185, 257, 188, 260)(171, 243, 189, 261, 190, 262)(173, 245, 192, 264, 193, 265)(176, 248, 196, 268, 187, 259)(178, 250, 197, 269, 198, 270)(179, 251, 191, 263, 199, 271)(181, 253, 200, 272, 201, 273)(183, 255, 203, 275, 205, 277)(194, 266, 204, 276, 208, 280)(195, 267, 209, 281, 211, 283)(202, 274, 210, 282, 214, 286)(206, 278, 215, 287, 207, 279)(212, 284, 216, 288, 213, 285)
	L = (1, 148)(2, 152)(3, 156)(4, 150)(5, 158)(6, 145)(7, 162)(8, 154)(9, 164)(10, 146)(11, 168)(12, 157)(13, 147)(14, 160)(15, 173)(16, 149)(17, 176)(18, 163)(19, 151)(20, 166)(21, 181)(22, 153)(23, 184)(24, 170)(25, 186)(26, 155)(27, 159)(28, 192)(29, 171)(30, 193)(31, 196)(32, 178)(33, 187)(34, 161)(35, 165)(36, 200)(37, 179)(38, 201)(39, 204)(40, 185)(41, 167)(42, 188)(43, 198)(44, 169)(45, 172)(46, 174)(47, 180)(48, 189)(49, 190)(50, 207)(51, 210)(52, 197)(53, 175)(54, 177)(55, 182)(56, 191)(57, 199)(58, 213)(59, 208)(60, 206)(61, 194)(62, 183)(63, 205)(64, 215)(65, 214)(66, 212)(67, 202)(68, 195)(69, 211)(70, 216)(71, 203)(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 ) }
Outer automorphisms :: reflexible
Dual of E13.1178
Graph:: simple bipartite
	v = 60 e = 144 f = 60
	degree seq :: [ 4^36, 6^24 ]

E13.1188 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 3})
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, R^2, Y2^3, Y3^3, (Y3^-1, Y2), (R * Y1)^2, (R * Y3)^2, (R * Y2)^2, (Y3^-1 * Y1)^2, Y1 * Y2^-1 * Y1 * Y3 * Y2 * Y1 * Y2^-1 * Y1 * Y2, (Y2 * Y1)^6 ]
Map:: polytopal non-degenerate
	R = (1, 73, 2, 74)(3, 75, 11, 83)(4, 76, 10, 82)(5, 77, 15, 87)(6, 78, 8, 80)(7, 79, 17, 89)(9, 81, 21, 93)(12, 84, 26, 98)(13, 85, 24, 96)(14, 86, 27, 99)(16, 88, 29, 101)(18, 90, 34, 106)(19, 91, 32, 104)(20, 92, 35, 107)(22, 94, 37, 109)(23, 95, 39, 111)(25, 97, 43, 115)(28, 100, 47, 119)(30, 102, 50, 122)(31, 103, 51, 123)(33, 105, 44, 116)(36, 108, 48, 120)(38, 110, 58, 130)(40, 112, 62, 134)(41, 113, 60, 132)(42, 114, 54, 126)(45, 117, 55, 127)(46, 118, 61, 133)(49, 121, 63, 135)(52, 124, 68, 140)(53, 125, 66, 138)(56, 128, 67, 139)(57, 129, 69, 141)(59, 131, 70, 142)(64, 136, 65, 137)(71, 143, 72, 144)(145, 217, 147, 219, 149, 221)(146, 218, 151, 223, 153, 225)(148, 220, 156, 228, 158, 230)(150, 222, 157, 229, 160, 232)(152, 224, 162, 234, 164, 236)(154, 226, 163, 235, 166, 238)(155, 227, 167, 239, 169, 241)(159, 231, 172, 244, 174, 246)(161, 233, 175, 247, 177, 249)(165, 237, 180, 252, 182, 254)(168, 240, 184, 256, 186, 258)(170, 242, 185, 257, 188, 260)(171, 243, 189, 261, 190, 262)(173, 245, 192, 264, 193, 265)(176, 248, 196, 268, 198, 270)(178, 250, 197, 269, 187, 259)(179, 251, 199, 271, 200, 272)(181, 253, 191, 263, 201, 273)(183, 255, 203, 275, 205, 277)(194, 266, 206, 278, 208, 280)(195, 267, 209, 281, 211, 283)(202, 274, 212, 284, 214, 286)(204, 276, 215, 287, 207, 279)(210, 282, 216, 288, 213, 285)
	L = (1, 148)(2, 152)(3, 156)(4, 150)(5, 158)(6, 145)(7, 162)(8, 154)(9, 164)(10, 146)(11, 168)(12, 157)(13, 147)(14, 160)(15, 173)(16, 149)(17, 176)(18, 163)(19, 151)(20, 166)(21, 181)(22, 153)(23, 184)(24, 170)(25, 186)(26, 155)(27, 159)(28, 192)(29, 171)(30, 193)(31, 196)(32, 178)(33, 198)(34, 161)(35, 165)(36, 191)(37, 179)(38, 201)(39, 204)(40, 185)(41, 167)(42, 188)(43, 177)(44, 169)(45, 172)(46, 174)(47, 199)(48, 189)(49, 190)(50, 205)(51, 210)(52, 197)(53, 175)(54, 187)(55, 180)(56, 182)(57, 200)(58, 211)(59, 215)(60, 206)(61, 207)(62, 183)(63, 194)(64, 203)(65, 216)(66, 212)(67, 213)(68, 195)(69, 202)(70, 209)(71, 208)(72, 214)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 4, 6, 4, 6 ), ( 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible selfdual
Graph:: simple bipartite
	v = 60 e = 144 f = 60
	degree seq :: [ 4^36, 6^24 ]

E13.1189 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 3})
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, Y3^3, (Y3 * Y1)^2, (R * Y3)^2, (R * Y1)^2, Y3 * Y1 * Y2 * Y1 * Y2^-1, (Y3 * Y2^-1)^3, (R * Y2 * Y3^-1)^2, (Y3 * Y2^-1)^3, (Y2 * R * Y2 * Y1)^2, (Y2, Y3^-1)^2, Y1 * Y2 * Y3 * Y2 * Y3^-1 * Y1 * Y2^-1 * Y3^-1 * Y2^-1, Y1 * Y2 * Y3^-1 * Y2^-1 * Y3^-1 * Y1 * Y2 * Y3 * Y2^-1 ]
Map:: polyhedral 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, 19, 91)(9, 81, 17, 89)(12, 84, 28, 100)(13, 85, 27, 99)(14, 86, 23, 95)(15, 87, 35, 107)(18, 90, 25, 97)(20, 92, 43, 115)(21, 93, 39, 111)(22, 94, 42, 114)(24, 96, 44, 116)(26, 98, 31, 103)(29, 101, 55, 127)(30, 102, 59, 131)(32, 104, 61, 133)(33, 105, 50, 122)(34, 106, 49, 121)(36, 108, 54, 126)(37, 109, 40, 112)(38, 110, 52, 124)(41, 113, 69, 141)(45, 117, 51, 123)(46, 118, 58, 130)(47, 119, 64, 136)(48, 120, 63, 135)(53, 125, 67, 139)(56, 128, 62, 134)(57, 129, 71, 143)(60, 132, 68, 140)(65, 137, 66, 138)(70, 142, 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, 167, 239, 168, 240)(154, 226, 155, 227, 170, 242)(156, 228, 173, 245, 174, 246)(157, 229, 175, 247, 176, 248)(160, 232, 181, 253, 172, 244)(161, 233, 182, 254, 183, 255)(162, 234, 184, 256, 185, 257)(165, 237, 190, 262, 191, 263)(166, 238, 187, 259, 192, 264)(169, 241, 196, 268, 197, 269)(171, 243, 199, 271, 200, 272)(177, 249, 201, 273, 208, 280)(178, 250, 188, 260, 204, 276)(179, 251, 209, 281, 194, 266)(180, 252, 210, 282, 211, 283)(186, 258, 202, 274, 206, 278)(189, 261, 207, 279, 214, 286)(193, 265, 215, 287, 203, 275)(195, 267, 212, 284, 213, 285)(198, 270, 205, 277, 216, 288)
	L = (1, 148)(2, 152)(3, 156)(4, 150)(5, 161)(6, 145)(7, 165)(8, 154)(9, 160)(10, 146)(11, 171)(12, 157)(13, 147)(14, 177)(15, 175)(16, 169)(17, 162)(18, 149)(19, 186)(20, 188)(21, 166)(22, 151)(23, 193)(24, 187)(25, 153)(26, 179)(27, 172)(28, 155)(29, 201)(30, 184)(31, 180)(32, 206)(33, 178)(34, 158)(35, 198)(36, 159)(37, 203)(38, 208)(39, 163)(40, 204)(41, 211)(42, 183)(43, 195)(44, 189)(45, 164)(46, 215)(47, 196)(48, 200)(49, 194)(50, 167)(51, 168)(52, 209)(53, 213)(54, 170)(55, 190)(56, 205)(57, 202)(58, 173)(59, 212)(60, 174)(61, 192)(62, 207)(63, 176)(64, 210)(65, 191)(66, 182)(67, 214)(68, 181)(69, 216)(70, 185)(71, 199)(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) :: { ( 4, 6, 4, 6 ), ( 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible selfdual
Graph:: simple bipartite
	v = 60 e = 144 f = 60
	degree seq :: [ 4^36, 6^24 ]

E13.1190 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 3})
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, R^2, Y2^3, (Y1 * Y3)^2, (R * Y3)^2, (Y3^-1 * Y1)^2, (R * Y1)^2, Y1 * Y3^2 * Y2^-1 * Y1 * Y2, Y1 * Y2 * Y3^-1 * Y1 * Y3 * Y2^-1, (R * Y2 * Y3^-1)^2, Y3^-1 * Y2 * Y3^2 * Y2^-1 * Y3^-1, Y3^6, (Y3 * Y2^-1)^3, (Y3^-1 * Y2^-1)^3, Y3^-1 * Y2^-1 * Y3^-1 * Y1 * Y2^-1 * Y3^-1 * Y2^-1 * Y1 ]
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, 23, 95)(9, 81, 29, 101)(12, 84, 36, 108)(13, 85, 25, 97)(14, 86, 42, 114)(15, 87, 34, 106)(16, 88, 28, 100)(18, 90, 30, 102)(19, 91, 47, 119)(20, 92, 32, 104)(21, 93, 53, 125)(22, 94, 27, 99)(24, 96, 54, 126)(26, 98, 59, 131)(31, 103, 64, 136)(33, 105, 68, 140)(35, 107, 52, 124)(37, 109, 55, 127)(38, 110, 48, 120)(39, 111, 58, 130)(40, 112, 63, 135)(41, 113, 56, 128)(43, 115, 60, 132)(44, 116, 66, 138)(45, 117, 62, 134)(46, 118, 57, 129)(49, 121, 67, 139)(50, 122, 61, 133)(51, 123, 65, 137)(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, 170, 242, 172, 244)(154, 226, 176, 248, 177, 249)(155, 227, 179, 251, 178, 250)(156, 228, 181, 253, 183, 255)(157, 229, 184, 256, 185, 257)(159, 231, 182, 254, 173, 245)(161, 233, 171, 243, 192, 264)(162, 234, 193, 265, 194, 266)(163, 235, 195, 267, 187, 259)(166, 238, 167, 239, 196, 268)(168, 240, 199, 271, 200, 272)(169, 241, 201, 273, 202, 274)(174, 246, 209, 281, 210, 282)(175, 247, 211, 283, 204, 276)(180, 252, 207, 279, 213, 285)(186, 258, 197, 269, 206, 278)(188, 260, 208, 280, 214, 286)(189, 261, 203, 275, 212, 284)(190, 262, 215, 287, 198, 270)(191, 263, 216, 288, 205, 277)
	L = (1, 148)(2, 152)(3, 156)(4, 159)(5, 162)(6, 145)(7, 168)(8, 171)(9, 174)(10, 146)(11, 169)(12, 182)(13, 147)(14, 187)(15, 189)(16, 184)(17, 191)(18, 173)(19, 149)(20, 188)(21, 190)(22, 150)(23, 157)(24, 192)(25, 151)(26, 204)(27, 206)(28, 201)(29, 208)(30, 161)(31, 153)(32, 205)(33, 207)(34, 154)(35, 175)(36, 155)(37, 165)(38, 198)(39, 195)(40, 212)(41, 214)(42, 210)(43, 203)(44, 158)(45, 166)(46, 160)(47, 179)(48, 180)(49, 185)(50, 164)(51, 215)(52, 163)(53, 199)(54, 167)(55, 177)(56, 211)(57, 197)(58, 216)(59, 194)(60, 186)(61, 170)(62, 178)(63, 172)(64, 196)(65, 202)(66, 176)(67, 213)(68, 181)(69, 209)(70, 183)(71, 193)(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, 6, 4, 6 ), ( 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible
Dual of E13.1180
Graph:: simple bipartite
	v = 60 e = 144 f = 60
	degree seq :: [ 4^36, 6^24 ]

E13.1191 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 3})
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, R^2, Y2^3, (R * Y3)^2, (R * Y1)^2, (Y3^-1 * Y1)^2, (R * Y2 * Y3^-1)^2, Y3 * Y1 * Y2 * Y1 * Y3 * Y2^-1, (Y3^-1 * Y2^-1)^3, Y1 * Y2^-1 * Y1 * Y2^-1 * Y3 * Y2^-1, Y3^-2 * Y2 * Y3^2 * Y2^-1, Y3^6, Y2 * Y3 * Y1 * Y3^-2 * Y2^-1 * Y3^-1 * Y1, Y3^-1 * Y2^-1 * Y3^-2 * Y1 * Y3 * Y2 * Y1 ]
Map:: polyhedral 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, 23, 95)(9, 81, 29, 101)(12, 84, 36, 108)(13, 85, 32, 104)(14, 86, 42, 114)(15, 87, 34, 106)(16, 88, 30, 102)(18, 90, 28, 100)(19, 91, 49, 121)(20, 92, 25, 97)(21, 93, 53, 125)(22, 94, 27, 99)(24, 96, 54, 126)(26, 98, 59, 131)(31, 103, 65, 137)(33, 105, 68, 140)(35, 107, 51, 123)(37, 109, 67, 139)(38, 110, 60, 132)(39, 111, 48, 120)(40, 112, 57, 129)(41, 113, 61, 133)(43, 115, 56, 128)(44, 116, 58, 130)(45, 117, 62, 134)(46, 118, 64, 136)(47, 119, 63, 135)(50, 122, 66, 138)(52, 124, 55, 127)(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, 170, 242, 172, 244)(154, 226, 176, 248, 177, 249)(155, 227, 174, 246, 179, 251)(156, 228, 181, 253, 183, 255)(157, 229, 173, 245, 184, 256)(159, 231, 182, 254, 190, 262)(161, 233, 192, 264, 169, 241)(162, 234, 194, 266, 167, 239)(163, 235, 195, 267, 187, 259)(166, 238, 185, 257, 196, 268)(168, 240, 199, 271, 201, 273)(171, 243, 200, 272, 207, 279)(175, 247, 210, 282, 204, 276)(178, 250, 202, 274, 211, 283)(180, 252, 193, 265, 206, 278)(186, 258, 208, 280, 213, 285)(188, 260, 212, 284, 214, 286)(189, 261, 198, 270, 209, 281)(191, 263, 215, 287, 203, 275)(197, 269, 216, 288, 205, 277)
	L = (1, 148)(2, 152)(3, 156)(4, 159)(5, 162)(6, 145)(7, 168)(8, 171)(9, 174)(10, 146)(11, 176)(12, 182)(13, 147)(14, 187)(15, 189)(16, 173)(17, 193)(18, 190)(19, 149)(20, 188)(21, 191)(22, 150)(23, 164)(24, 200)(25, 151)(26, 204)(27, 206)(28, 161)(29, 209)(30, 207)(31, 153)(32, 205)(33, 208)(34, 154)(35, 192)(36, 155)(37, 165)(38, 203)(39, 195)(40, 214)(41, 157)(42, 202)(43, 198)(44, 158)(45, 166)(46, 212)(47, 160)(48, 216)(49, 199)(50, 184)(51, 215)(52, 163)(53, 211)(54, 167)(55, 177)(56, 186)(57, 210)(58, 169)(59, 185)(60, 180)(61, 170)(62, 178)(63, 197)(64, 172)(65, 181)(66, 213)(67, 175)(68, 196)(69, 179)(70, 183)(71, 194)(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 ) }
Outer automorphisms :: reflexible
Dual of E13.1179
Graph:: simple bipartite
	v = 60 e = 144 f = 60
	degree seq :: [ 4^36, 6^24 ]

E13.1192 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 3})
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, R^2, Y2^3, (Y3 * Y1)^2, (R * Y3)^2, (R * Y1)^2, Y3^-2 * Y2 * Y3^2 * Y2^-1, Y2 * Y1 * Y2^-1 * Y1 * Y3^2, (Y3^-1 * Y2^-1)^3, Y3^-1 * Y2^-1 * Y1 * Y2 * Y1 * Y3^-1, (R * Y2 * Y3^-1)^2, (Y3 * Y2^-1)^3, Y3^6, Y3 * Y2^-1 * Y3 * Y1 * Y2^-1 * Y3 * Y2^-1 * Y1 ]
Map:: polyhedral 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, 23, 95)(9, 81, 29, 101)(12, 84, 24, 96)(13, 85, 36, 108)(14, 86, 26, 98)(15, 87, 34, 106)(16, 88, 46, 118)(18, 90, 49, 121)(19, 91, 31, 103)(20, 92, 53, 125)(21, 93, 33, 105)(22, 94, 27, 99)(25, 97, 54, 126)(28, 100, 62, 134)(30, 102, 64, 136)(32, 104, 68, 140)(35, 107, 45, 117)(37, 109, 63, 135)(38, 110, 58, 130)(39, 111, 57, 129)(40, 112, 56, 128)(41, 113, 48, 120)(42, 114, 60, 132)(43, 115, 59, 131)(44, 116, 61, 133)(47, 119, 55, 127)(50, 122, 67, 139)(51, 123, 66, 138)(52, 124, 65, 137)(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, 170, 242, 172, 244)(154, 226, 176, 248, 177, 249)(155, 227, 179, 251, 171, 243)(156, 228, 181, 253, 182, 254)(157, 229, 183, 255, 184, 256)(159, 231, 167, 239, 189, 261)(161, 233, 178, 250, 192, 264)(162, 234, 194, 266, 195, 267)(163, 235, 196, 268, 186, 258)(166, 238, 185, 257, 173, 245)(168, 240, 199, 271, 200, 272)(169, 241, 201, 273, 202, 274)(174, 246, 209, 281, 210, 282)(175, 247, 211, 283, 203, 275)(180, 252, 207, 279, 213, 285)(187, 259, 208, 280, 214, 286)(188, 260, 212, 284, 206, 278)(190, 262, 205, 277, 197, 269)(191, 263, 215, 287, 198, 270)(193, 265, 216, 288, 204, 276)
	L = (1, 148)(2, 152)(3, 156)(4, 159)(5, 162)(6, 145)(7, 168)(8, 171)(9, 174)(10, 146)(11, 180)(12, 167)(13, 147)(14, 186)(15, 188)(16, 183)(17, 175)(18, 189)(19, 149)(20, 187)(21, 191)(22, 150)(23, 198)(24, 155)(25, 151)(26, 203)(27, 205)(28, 201)(29, 163)(30, 179)(31, 153)(32, 204)(33, 207)(34, 154)(35, 193)(36, 192)(37, 165)(38, 196)(39, 206)(40, 214)(41, 157)(42, 212)(43, 158)(44, 166)(45, 208)(46, 199)(47, 160)(48, 169)(49, 161)(50, 184)(51, 164)(52, 215)(53, 210)(54, 185)(55, 177)(56, 211)(57, 190)(58, 216)(59, 197)(60, 170)(61, 178)(62, 181)(63, 172)(64, 173)(65, 202)(66, 176)(67, 213)(68, 195)(69, 209)(70, 182)(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, 6, 4, 6 ), ( 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible
Dual of E13.1193
Graph:: simple bipartite
	v = 60 e = 144 f = 60
	degree seq :: [ 4^36, 6^24 ]

E13.1193 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 3})
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, R^2, Y2^3, (R * Y3)^2, (R * Y1)^2, (Y3^-1 * Y1)^2, Y2 * Y3 * Y2 * Y1 * Y2 * Y1, (R * Y2 * Y3^-1)^2, Y3^2 * Y2 * Y3^-2 * Y2^-1, Y3^6, (Y3 * Y2^-1)^3, Y2 * R * Y2 * Y1 * Y2^-1 * R * Y2^-1 * Y1 ]
Map:: polyhedral 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, 23, 95)(9, 81, 29, 101)(12, 84, 26, 98)(13, 85, 35, 107)(14, 86, 24, 96)(15, 87, 34, 106)(16, 88, 45, 117)(18, 90, 48, 120)(19, 91, 33, 105)(20, 92, 53, 125)(21, 93, 31, 103)(22, 94, 27, 99)(25, 97, 54, 126)(28, 100, 62, 134)(30, 102, 64, 136)(32, 104, 68, 140)(36, 108, 49, 121)(37, 109, 59, 131)(38, 110, 57, 129)(39, 111, 61, 133)(40, 112, 47, 119)(41, 113, 66, 138)(42, 114, 55, 127)(43, 115, 60, 132)(44, 116, 56, 128)(46, 118, 67, 139)(50, 122, 58, 130)(51, 123, 65, 137)(52, 124, 63, 135)(69, 141, 72, 144)(70, 142, 71, 143)(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, 170, 242, 172, 244)(154, 226, 176, 248, 177, 249)(155, 227, 175, 247, 180, 252)(156, 228, 173, 245, 182, 254)(157, 229, 183, 255, 184, 256)(159, 231, 181, 253, 188, 260)(161, 233, 191, 263, 168, 240)(162, 234, 193, 265, 194, 266)(163, 235, 195, 267, 167, 239)(166, 238, 185, 257, 196, 268)(169, 241, 200, 272, 201, 273)(171, 243, 199, 271, 205, 277)(174, 246, 209, 281, 210, 282)(178, 250, 202, 274, 211, 283)(179, 251, 192, 264, 204, 276)(186, 258, 206, 278, 214, 286)(187, 259, 198, 270, 208, 280)(189, 261, 215, 287, 203, 275)(190, 262, 216, 288, 212, 284)(197, 269, 207, 279, 213, 285)
	L = (1, 148)(2, 152)(3, 156)(4, 159)(5, 162)(6, 145)(7, 168)(8, 171)(9, 174)(10, 146)(11, 179)(12, 181)(13, 147)(14, 167)(15, 187)(16, 183)(17, 177)(18, 188)(19, 149)(20, 186)(21, 190)(22, 150)(23, 198)(24, 199)(25, 151)(26, 155)(27, 204)(28, 200)(29, 165)(30, 205)(31, 153)(32, 203)(33, 207)(34, 154)(35, 210)(36, 213)(37, 212)(38, 195)(39, 208)(40, 214)(41, 157)(42, 158)(43, 166)(44, 206)(45, 211)(46, 160)(47, 180)(48, 161)(49, 184)(50, 164)(51, 216)(52, 163)(53, 202)(54, 194)(55, 197)(56, 192)(57, 215)(58, 169)(59, 170)(60, 178)(61, 189)(62, 196)(63, 172)(64, 173)(65, 201)(66, 176)(67, 175)(68, 185)(69, 209)(70, 182)(71, 191)(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 ) }
Outer automorphisms :: reflexible
Dual of E13.1192
Graph:: simple bipartite
	v = 60 e = 144 f = 60
	degree seq :: [ 4^36, 6^24 ]

E13.1194 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 3})
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, Y2^3, Y2 * Y3^2, (R * Y3)^2, (R * Y1)^2, (Y3 * Y1)^2, (R * Y2)^2, (Y3 * Y2^-1)^2, (Y2 * Y1^-1)^3, (Y1 * Y2 * Y1 * Y3)^2, (Y1, Y2)^2, Y2 * Y1 * Y2 * Y1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 73, 2, 74, 5, 77)(3, 75, 12, 84, 13, 85)(4, 76, 15, 87, 16, 88)(6, 78, 20, 92, 21, 93)(7, 79, 22, 94, 9, 81)(8, 80, 23, 95, 24, 96)(10, 82, 26, 98, 27, 99)(11, 83, 28, 100, 18, 90)(14, 86, 35, 107, 30, 102)(17, 89, 40, 112, 38, 110)(19, 91, 41, 113, 42, 114)(25, 97, 54, 126, 49, 121)(29, 101, 48, 120, 59, 131)(31, 103, 44, 116, 53, 125)(32, 104, 61, 133, 33, 105)(34, 106, 62, 134, 63, 135)(36, 108, 65, 137, 66, 138)(37, 109, 67, 139, 45, 117)(39, 111, 68, 140, 69, 141)(43, 115, 50, 122, 55, 127)(46, 118, 57, 129, 71, 143)(47, 119, 72, 144, 56, 128)(51, 123, 60, 132, 52, 124)(58, 130, 64, 136, 70, 142)(145, 217, 147, 219, 150, 222)(146, 218, 152, 224, 154, 226)(148, 220, 151, 223, 158, 230)(149, 221, 161, 233, 163, 235)(153, 225, 155, 227, 169, 241)(156, 228, 173, 245, 175, 247)(157, 229, 170, 242, 178, 250)(159, 231, 180, 252, 162, 234)(160, 232, 181, 253, 183, 255)(164, 236, 187, 259, 182, 254)(165, 237, 188, 260, 190, 262)(166, 238, 191, 263, 177, 249)(167, 239, 192, 264, 194, 266)(168, 240, 185, 257, 197, 269)(171, 243, 199, 271, 201, 273)(172, 244, 202, 274, 196, 268)(174, 246, 176, 248, 204, 276)(179, 251, 208, 280, 189, 261)(184, 256, 203, 275, 206, 278)(186, 258, 207, 279, 215, 287)(193, 265, 195, 267, 213, 285)(198, 270, 211, 283, 200, 272)(205, 277, 210, 282, 212, 284)(209, 281, 216, 288, 214, 286)
	L = (1, 148)(2, 153)(3, 151)(4, 150)(5, 162)(6, 158)(7, 145)(8, 155)(9, 154)(10, 169)(11, 146)(12, 174)(13, 177)(14, 147)(15, 149)(16, 182)(17, 159)(18, 163)(19, 180)(20, 160)(21, 189)(22, 157)(23, 193)(24, 196)(25, 152)(26, 166)(27, 200)(28, 168)(29, 176)(30, 175)(31, 204)(32, 156)(33, 178)(34, 191)(35, 165)(36, 161)(37, 164)(38, 183)(39, 187)(40, 210)(41, 172)(42, 214)(43, 181)(44, 179)(45, 190)(46, 208)(47, 170)(48, 195)(49, 194)(50, 213)(51, 167)(52, 197)(53, 202)(54, 171)(55, 198)(56, 201)(57, 211)(58, 185)(59, 212)(60, 173)(61, 203)(62, 205)(63, 209)(64, 188)(65, 186)(66, 206)(67, 199)(68, 184)(69, 192)(70, 215)(71, 216)(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 ) }
Outer automorphisms :: reflexible
Dual of E13.1177
Graph:: simple bipartite
	v = 48 e = 144 f = 72
	degree seq :: [ 6^48 ]

E13.1195 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 3, 3})
Quotient :: halfedge^2
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 :: [ R^2, Y2^2, Y3^2, Y1^3, R * Y3 * R * Y2, (R * Y1)^2, Y2 * Y3 * Y1 * Y3 * Y2 * Y1^-1, (Y3 * Y2)^3, (Y2 * Y1^-1)^4, (Y2 * Y3 * Y1^-1)^3, Y3 * Y1 * Y3 * Y1^-1 * Y2 * Y1 * Y2 * Y1^-1 * Y2 * Y1 * Y2 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 74, 2, 77, 5, 73)(3, 80, 8, 82, 10, 75)(4, 83, 11, 85, 13, 76)(6, 88, 16, 90, 18, 78)(7, 91, 19, 93, 21, 79)(9, 89, 17, 97, 25, 81)(12, 92, 20, 101, 29, 84)(14, 103, 31, 104, 32, 86)(15, 105, 33, 106, 34, 87)(22, 114, 42, 115, 43, 94)(23, 116, 44, 118, 46, 95)(24, 117, 45, 119, 47, 96)(26, 121, 49, 107, 35, 98)(27, 122, 50, 108, 36, 99)(28, 123, 51, 124, 52, 100)(30, 125, 53, 112, 40, 102)(37, 129, 57, 130, 58, 109)(38, 131, 59, 126, 54, 110)(39, 132, 60, 127, 55, 111)(41, 133, 61, 128, 56, 113)(48, 138, 66, 136, 64, 120)(62, 142, 70, 139, 67, 134)(63, 143, 71, 140, 68, 135)(65, 144, 72, 141, 69, 137)
	L = (1, 3)(2, 6)(4, 12)(5, 14)(7, 20)(8, 22)(9, 24)(10, 26)(11, 28)(13, 30)(15, 29)(16, 35)(17, 37)(18, 38)(19, 40)(21, 41)(23, 45)(25, 48)(27, 47)(31, 54)(32, 42)(33, 56)(34, 51)(36, 57)(39, 58)(43, 62)(44, 64)(46, 65)(49, 67)(50, 69)(52, 63)(53, 68)(55, 66)(59, 70)(60, 72)(61, 71)(73, 76)(74, 79)(75, 81)(77, 87)(78, 89)(80, 95)(82, 99)(83, 94)(84, 96)(85, 98)(86, 97)(88, 108)(90, 111)(91, 107)(92, 109)(93, 110)(100, 117)(101, 120)(102, 119)(103, 127)(104, 116)(105, 126)(106, 114)(112, 129)(113, 130)(115, 135)(118, 134)(121, 140)(122, 139)(123, 136)(124, 137)(125, 141)(128, 138)(131, 143)(132, 142)(133, 144)
	local type(s) :: { ( 6^6 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+ AT
Graph:: simple bipartite
	v = 24 e = 72 f = 24
	degree seq :: [ 6^24 ]

E13.1196 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 3, 3})
Quotient :: edge^2
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, Y2^2, R^2, Y3^3, (R * Y3)^2, R * Y1 * R * Y2, Y1 * Y2 * Y3 * Y2 * Y1 * Y3^-1, (Y2 * Y1)^3, Y1 * Y2 * Y1 * Y3 * Y2 * Y1 * Y3^-1 * Y2, (Y1 * Y3^-1)^4, (Y3 * Y2 * Y3^-1 * Y2)^3 ]
Map:: polytopal
	R = (1, 73, 4, 76, 5, 77)(2, 74, 7, 79, 8, 80)(3, 75, 10, 82, 11, 83)(6, 78, 17, 89, 18, 90)(9, 81, 23, 95, 24, 96)(12, 84, 27, 99, 28, 100)(13, 85, 29, 101, 30, 102)(14, 86, 31, 103, 32, 104)(15, 87, 33, 105, 34, 106)(16, 88, 35, 107, 36, 108)(19, 91, 39, 111, 40, 112)(20, 92, 41, 113, 42, 114)(21, 93, 43, 115, 44, 116)(22, 94, 45, 117, 46, 118)(25, 97, 47, 119, 48, 120)(26, 98, 49, 121, 50, 122)(37, 109, 57, 129, 58, 130)(38, 110, 59, 131, 60, 132)(51, 123, 67, 139, 54, 126)(52, 124, 68, 140, 55, 127)(53, 125, 69, 141, 56, 128)(61, 133, 70, 142, 64, 136)(62, 134, 71, 143, 65, 137)(63, 135, 72, 144, 66, 138)(145, 146)(147, 153)(148, 156)(149, 158)(150, 160)(151, 163)(152, 165)(154, 169)(155, 170)(157, 167)(159, 168)(161, 181)(162, 182)(164, 179)(166, 180)(171, 188)(172, 195)(173, 194)(174, 197)(175, 198)(176, 183)(177, 200)(178, 191)(184, 205)(185, 204)(186, 207)(187, 208)(189, 210)(190, 201)(192, 206)(193, 209)(196, 202)(199, 203)(211, 214)(212, 216)(213, 215)(217, 219)(218, 222)(220, 229)(221, 231)(223, 236)(224, 238)(225, 232)(226, 235)(227, 237)(228, 233)(230, 234)(239, 253)(240, 254)(241, 251)(242, 252)(243, 262)(244, 268)(245, 260)(246, 267)(247, 271)(248, 257)(249, 270)(250, 255)(256, 278)(258, 277)(259, 281)(261, 280)(263, 276)(264, 279)(265, 282)(266, 273)(269, 274)(272, 275)(283, 287)(284, 286)(285, 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, 12 ), ( 12^6 ) }
Outer automorphisms :: reflexible
Dual of E13.1197
Graph:: simple bipartite
	v = 96 e = 144 f = 24
	degree seq :: [ 2^72, 6^24 ]

E13.1197 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 3, 3})
Quotient :: loop^2
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, Y2^2, R^2, Y3^3, (R * Y3)^2, R * Y1 * R * Y2, Y1 * Y2 * Y3 * Y2 * Y1 * Y3^-1, (Y2 * Y1)^3, Y1 * Y2 * Y1 * Y3 * Y2 * Y1 * Y3^-1 * Y2, (Y1 * Y3^-1)^4, (Y3 * Y2 * Y3^-1 * Y2)^3 ]
Map::
	R = (1, 73, 145, 217, 4, 76, 148, 220, 5, 77, 149, 221)(2, 74, 146, 218, 7, 79, 151, 223, 8, 80, 152, 224)(3, 75, 147, 219, 10, 82, 154, 226, 11, 83, 155, 227)(6, 78, 150, 222, 17, 89, 161, 233, 18, 90, 162, 234)(9, 81, 153, 225, 23, 95, 167, 239, 24, 96, 168, 240)(12, 84, 156, 228, 27, 99, 171, 243, 28, 100, 172, 244)(13, 85, 157, 229, 29, 101, 173, 245, 30, 102, 174, 246)(14, 86, 158, 230, 31, 103, 175, 247, 32, 104, 176, 248)(15, 87, 159, 231, 33, 105, 177, 249, 34, 106, 178, 250)(16, 88, 160, 232, 35, 107, 179, 251, 36, 108, 180, 252)(19, 91, 163, 235, 39, 111, 183, 255, 40, 112, 184, 256)(20, 92, 164, 236, 41, 113, 185, 257, 42, 114, 186, 258)(21, 93, 165, 237, 43, 115, 187, 259, 44, 116, 188, 260)(22, 94, 166, 238, 45, 117, 189, 261, 46, 118, 190, 262)(25, 97, 169, 241, 47, 119, 191, 263, 48, 120, 192, 264)(26, 98, 170, 242, 49, 121, 193, 265, 50, 122, 194, 266)(37, 109, 181, 253, 57, 129, 201, 273, 58, 130, 202, 274)(38, 110, 182, 254, 59, 131, 203, 275, 60, 132, 204, 276)(51, 123, 195, 267, 67, 139, 211, 283, 54, 126, 198, 270)(52, 124, 196, 268, 68, 140, 212, 284, 55, 127, 199, 271)(53, 125, 197, 269, 69, 141, 213, 285, 56, 128, 200, 272)(61, 133, 205, 277, 70, 142, 214, 286, 64, 136, 208, 280)(62, 134, 206, 278, 71, 143, 215, 287, 65, 137, 209, 281)(63, 135, 207, 279, 72, 144, 216, 288, 66, 138, 210, 282)
	L = (1, 74)(2, 73)(3, 81)(4, 84)(5, 86)(6, 88)(7, 91)(8, 93)(9, 75)(10, 97)(11, 98)(12, 76)(13, 95)(14, 77)(15, 96)(16, 78)(17, 109)(18, 110)(19, 79)(20, 107)(21, 80)(22, 108)(23, 85)(24, 87)(25, 82)(26, 83)(27, 116)(28, 123)(29, 122)(30, 125)(31, 126)(32, 111)(33, 128)(34, 119)(35, 92)(36, 94)(37, 89)(38, 90)(39, 104)(40, 133)(41, 132)(42, 135)(43, 136)(44, 99)(45, 138)(46, 129)(47, 106)(48, 134)(49, 137)(50, 101)(51, 100)(52, 130)(53, 102)(54, 103)(55, 131)(56, 105)(57, 118)(58, 124)(59, 127)(60, 113)(61, 112)(62, 120)(63, 114)(64, 115)(65, 121)(66, 117)(67, 142)(68, 144)(69, 143)(70, 139)(71, 141)(72, 140)(145, 219)(146, 222)(147, 217)(148, 229)(149, 231)(150, 218)(151, 236)(152, 238)(153, 232)(154, 235)(155, 237)(156, 233)(157, 220)(158, 234)(159, 221)(160, 225)(161, 228)(162, 230)(163, 226)(164, 223)(165, 227)(166, 224)(167, 253)(168, 254)(169, 251)(170, 252)(171, 262)(172, 268)(173, 260)(174, 267)(175, 271)(176, 257)(177, 270)(178, 255)(179, 241)(180, 242)(181, 239)(182, 240)(183, 250)(184, 278)(185, 248)(186, 277)(187, 281)(188, 245)(189, 280)(190, 243)(191, 276)(192, 279)(193, 282)(194, 273)(195, 246)(196, 244)(197, 274)(198, 249)(199, 247)(200, 275)(201, 266)(202, 269)(203, 272)(204, 263)(205, 258)(206, 256)(207, 264)(208, 261)(209, 259)(210, 265)(211, 287)(212, 286)(213, 288)(214, 284)(215, 283)(216, 285)
	local type(s) :: { ( 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6 ) }
Outer automorphisms :: reflexible
Dual of E13.1196
Transitivity :: VT+
Graph:: bipartite
	v = 24 e = 144 f = 96
	degree seq :: [ 12^24 ]

E13.1198 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 3})
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, Y2), (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, (Y3^-1 * Y1)^2, (Y1 * Y2^-1)^4, (Y2 * Y1 * Y2^-1 * Y1)^3 ]
Map:: polytopal non-degenerate
	R = (1, 73, 2, 74)(3, 75, 11, 83)(4, 76, 10, 82)(5, 77, 15, 87)(6, 78, 8, 80)(7, 79, 17, 89)(9, 81, 21, 93)(12, 84, 26, 98)(13, 85, 24, 96)(14, 86, 27, 99)(16, 88, 29, 101)(18, 90, 34, 106)(19, 91, 32, 104)(20, 92, 35, 107)(22, 94, 37, 109)(23, 95, 38, 110)(25, 97, 42, 114)(28, 100, 46, 118)(30, 102, 31, 103)(33, 105, 52, 124)(36, 108, 56, 128)(39, 111, 55, 127)(40, 112, 58, 130)(41, 113, 59, 131)(43, 115, 61, 133)(44, 116, 62, 134)(45, 117, 49, 121)(47, 119, 63, 135)(48, 120, 50, 122)(51, 123, 64, 136)(53, 125, 66, 138)(54, 126, 67, 139)(57, 129, 68, 140)(60, 132, 65, 137)(69, 141, 72, 144)(70, 142, 71, 143)(145, 217, 147, 219, 149, 221)(146, 218, 151, 223, 153, 225)(148, 220, 156, 228, 158, 230)(150, 222, 157, 229, 160, 232)(152, 224, 162, 234, 164, 236)(154, 226, 163, 235, 166, 238)(155, 227, 167, 239, 169, 241)(159, 231, 172, 244, 174, 246)(161, 233, 175, 247, 177, 249)(165, 237, 180, 252, 182, 254)(168, 240, 183, 255, 185, 257)(170, 242, 184, 256, 187, 259)(171, 243, 188, 260, 189, 261)(173, 245, 191, 263, 192, 264)(176, 248, 193, 265, 195, 267)(178, 250, 194, 266, 197, 269)(179, 251, 198, 270, 199, 271)(181, 253, 201, 273, 202, 274)(186, 258, 204, 276, 190, 262)(196, 268, 209, 281, 200, 272)(203, 275, 213, 285, 207, 279)(205, 277, 214, 286, 206, 278)(208, 280, 215, 287, 212, 284)(210, 282, 216, 288, 211, 283)
	L = (1, 148)(2, 152)(3, 156)(4, 150)(5, 158)(6, 145)(7, 162)(8, 154)(9, 164)(10, 146)(11, 168)(12, 157)(13, 147)(14, 160)(15, 173)(16, 149)(17, 176)(18, 163)(19, 151)(20, 166)(21, 181)(22, 153)(23, 183)(24, 170)(25, 185)(26, 155)(27, 159)(28, 191)(29, 171)(30, 192)(31, 193)(32, 178)(33, 195)(34, 161)(35, 165)(36, 201)(37, 179)(38, 202)(39, 184)(40, 167)(41, 187)(42, 205)(43, 169)(44, 172)(45, 174)(46, 206)(47, 188)(48, 189)(49, 194)(50, 175)(51, 197)(52, 210)(53, 177)(54, 180)(55, 182)(56, 211)(57, 198)(58, 199)(59, 186)(60, 214)(61, 203)(62, 207)(63, 190)(64, 196)(65, 216)(66, 208)(67, 212)(68, 200)(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, 6, 4, 6 ), ( 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible selfdual
Graph:: simple bipartite
	v = 60 e = 144 f = 60
	degree seq :: [ 4^36, 6^24 ]

E13.1199 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 3})
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 * Y1)^2, (R * Y3)^2, (Y3 * Y2^-1)^3, (R * Y2 * Y3^-1)^2, (Y1 * Y2^-1 * Y3^-1)^2, Y3^-1 * Y2 * Y3 * Y1 * Y2^-1 * Y1 * Y2, Y1 * Y2 * Y3 * Y1 * Y3^-1 * Y2 * Y3^-1, Y2 * Y1 * Y2^-1 * Y3^-1 * Y2 * Y3 * Y2 * Y1 ]
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, 41, 113)(18, 90, 24, 96)(19, 91, 46, 118)(20, 92, 48, 120)(22, 94, 36, 108)(27, 99, 38, 110)(29, 101, 50, 122)(30, 102, 43, 115)(31, 103, 56, 128)(32, 104, 62, 134)(34, 106, 59, 131)(35, 107, 61, 133)(37, 109, 65, 137)(39, 111, 47, 119)(40, 112, 51, 123)(42, 114, 58, 130)(44, 116, 57, 129)(45, 117, 53, 125)(49, 121, 60, 132)(52, 124, 71, 143)(54, 126, 68, 140)(55, 127, 67, 139)(63, 135, 64, 136)(66, 138, 72, 144)(69, 141, 70, 142)(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, 183, 255, 184, 256)(161, 233, 186, 258, 187, 259)(162, 234, 188, 260, 189, 261)(165, 237, 195, 267, 196, 268)(166, 238, 197, 269, 198, 270)(167, 239, 177, 249, 199, 271)(170, 242, 193, 265, 200, 272)(171, 243, 201, 273, 192, 264)(172, 244, 202, 274, 203, 275)(182, 254, 208, 280, 212, 284)(185, 257, 213, 285, 205, 277)(190, 262, 209, 281, 207, 279)(191, 263, 206, 278, 210, 282)(194, 266, 211, 283, 214, 286)(204, 276, 215, 287, 216, 288)
	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, 180)(16, 168)(17, 162)(18, 149)(19, 191)(20, 193)(21, 159)(22, 167)(23, 151)(24, 185)(25, 177)(26, 158)(27, 172)(28, 153)(29, 204)(30, 183)(31, 201)(32, 207)(33, 155)(34, 208)(35, 188)(36, 165)(37, 210)(38, 170)(39, 190)(40, 198)(41, 160)(42, 212)(43, 163)(44, 200)(45, 196)(46, 174)(47, 187)(48, 173)(49, 194)(50, 164)(51, 186)(52, 214)(53, 213)(54, 202)(55, 216)(56, 179)(57, 205)(58, 184)(59, 176)(60, 192)(61, 175)(62, 178)(63, 203)(64, 206)(65, 199)(66, 211)(67, 181)(68, 195)(69, 215)(70, 189)(71, 197)(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 ) }
Outer automorphisms :: reflexible selfdual
Graph:: simple bipartite
	v = 60 e = 144 f = 60
	degree seq :: [ 4^36, 6^24 ]

E13.1200 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 3})
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, (R * Y3)^2, (R * Y1)^2, (Y3 * Y1)^2, (Y2 * Y1)^2, (R * Y2 * Y3^-1)^2, (Y3^-1 * Y2^-1)^3, Y3^-2 * Y2 * Y3^2 * Y2^-1, (Y3 * Y2^-1)^3, Y3^6 ]
Map:: polyhedral non-degenerate
	R = (1, 73, 2, 74)(3, 75, 9, 81)(4, 76, 10, 82)(5, 77, 7, 79)(6, 78, 8, 80)(11, 83, 27, 99)(12, 84, 26, 98)(13, 85, 29, 101)(14, 86, 30, 102)(15, 87, 28, 100)(16, 88, 22, 94)(17, 89, 21, 93)(18, 90, 25, 97)(19, 91, 23, 95)(20, 92, 24, 96)(31, 103, 52, 124)(32, 104, 60, 132)(33, 105, 59, 131)(34, 106, 58, 130)(35, 107, 57, 129)(36, 108, 55, 127)(37, 109, 46, 118)(38, 110, 56, 128)(39, 111, 54, 126)(40, 112, 51, 123)(41, 113, 53, 125)(42, 114, 50, 122)(43, 115, 49, 121)(44, 116, 48, 120)(45, 117, 47, 119)(61, 133, 70, 142)(62, 134, 71, 143)(63, 135, 72, 144)(64, 136, 67, 139)(65, 137, 68, 140)(66, 138, 69, 141)(145, 217, 147, 219, 149, 221)(146, 218, 151, 223, 153, 225)(148, 220, 157, 229, 159, 231)(150, 222, 162, 234, 163, 235)(152, 224, 167, 239, 169, 241)(154, 226, 172, 244, 173, 245)(155, 227, 175, 247, 177, 249)(156, 228, 178, 250, 179, 251)(158, 230, 176, 248, 184, 256)(160, 232, 186, 258, 187, 259)(161, 233, 188, 260, 181, 253)(164, 236, 180, 252, 189, 261)(165, 237, 190, 262, 192, 264)(166, 238, 193, 265, 194, 266)(168, 240, 191, 263, 199, 271)(170, 242, 201, 273, 202, 274)(171, 243, 203, 275, 196, 268)(174, 246, 195, 267, 204, 276)(182, 254, 209, 281, 207, 279)(183, 255, 208, 280, 205, 277)(185, 257, 210, 282, 206, 278)(197, 269, 215, 287, 213, 285)(198, 270, 214, 286, 211, 283)(200, 272, 216, 288, 212, 284)
	L = (1, 148)(2, 152)(3, 155)(4, 158)(5, 160)(6, 145)(7, 165)(8, 168)(9, 170)(10, 146)(11, 176)(12, 147)(13, 181)(14, 183)(15, 178)(16, 184)(17, 149)(18, 182)(19, 185)(20, 150)(21, 191)(22, 151)(23, 196)(24, 198)(25, 193)(26, 199)(27, 153)(28, 197)(29, 200)(30, 154)(31, 163)(32, 206)(33, 188)(34, 205)(35, 207)(36, 156)(37, 208)(38, 157)(39, 164)(40, 209)(41, 159)(42, 179)(43, 162)(44, 210)(45, 161)(46, 173)(47, 212)(48, 203)(49, 211)(50, 213)(51, 166)(52, 214)(53, 167)(54, 174)(55, 215)(56, 169)(57, 194)(58, 172)(59, 216)(60, 171)(61, 175)(62, 180)(63, 177)(64, 187)(65, 189)(66, 186)(67, 190)(68, 195)(69, 192)(70, 202)(71, 204)(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 ) }
Outer automorphisms :: reflexible selfdual
Graph:: simple bipartite
	v = 60 e = 144 f = 60
	degree seq :: [ 4^36, 6^24 ]

E13.1201 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 3})
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, (Y1 * Y3^-1)^2, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, Y3 * Y2^-1 * Y3^-1 * Y1 * Y2^-1 * Y1, (Y3 * Y2^-1)^3, Y3^2 * Y2 * Y3^-2 * Y2^-1, (Y3^-1 * Y2^-1)^3, Y3^6, Y2 * Y1 * Y2 * Y3^-1 * Y2^-1 * Y3 * Y2 * Y1 ]
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, 23, 95)(9, 81, 29, 101)(12, 84, 33, 105)(13, 85, 28, 100)(14, 86, 31, 103)(15, 87, 34, 106)(16, 88, 25, 97)(18, 90, 32, 104)(19, 91, 26, 98)(20, 92, 30, 102)(21, 93, 24, 96)(22, 94, 27, 99)(35, 107, 64, 136)(36, 108, 69, 141)(37, 109, 55, 127)(38, 110, 54, 126)(39, 111, 67, 139)(40, 112, 59, 131)(41, 113, 65, 137)(42, 114, 57, 129)(43, 115, 68, 140)(44, 116, 61, 133)(45, 117, 66, 138)(46, 118, 70, 142)(47, 119, 52, 124)(48, 120, 58, 130)(49, 121, 62, 134)(50, 122, 56, 128)(51, 123, 60, 132)(53, 125, 71, 143)(63, 135, 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, 170, 242, 172, 244)(154, 226, 176, 248, 177, 249)(155, 227, 179, 251, 180, 252)(156, 228, 181, 253, 183, 255)(157, 229, 184, 256, 185, 257)(159, 231, 182, 254, 189, 261)(161, 233, 190, 262, 191, 263)(162, 234, 192, 264, 193, 265)(163, 235, 194, 266, 187, 259)(166, 238, 186, 258, 195, 267)(167, 239, 196, 268, 197, 269)(168, 240, 198, 270, 200, 272)(169, 241, 201, 273, 202, 274)(171, 243, 199, 271, 206, 278)(173, 245, 207, 279, 208, 280)(174, 246, 209, 281, 210, 282)(175, 247, 211, 283, 204, 276)(178, 250, 203, 275, 212, 284)(188, 260, 214, 286, 213, 285)(205, 277, 216, 288, 215, 287)
	L = (1, 148)(2, 152)(3, 156)(4, 159)(5, 162)(6, 145)(7, 168)(8, 171)(9, 174)(10, 146)(11, 172)(12, 182)(13, 147)(14, 187)(15, 188)(16, 184)(17, 170)(18, 189)(19, 149)(20, 173)(21, 167)(22, 150)(23, 160)(24, 199)(25, 151)(26, 204)(27, 205)(28, 201)(29, 158)(30, 206)(31, 153)(32, 161)(33, 155)(34, 154)(35, 209)(36, 203)(37, 165)(38, 197)(39, 194)(40, 213)(41, 208)(42, 157)(43, 214)(44, 166)(45, 207)(46, 212)(47, 200)(48, 185)(49, 164)(50, 196)(51, 163)(52, 192)(53, 186)(54, 177)(55, 180)(56, 211)(57, 215)(58, 191)(59, 169)(60, 216)(61, 178)(62, 190)(63, 195)(64, 183)(65, 202)(66, 176)(67, 179)(68, 175)(69, 181)(70, 193)(71, 198)(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, 6 ), ( 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible selfdual
Graph:: simple bipartite
	v = 60 e = 144 f = 60
	degree seq :: [ 4^36, 6^24 ]

E13.1202 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 3, 3})
Quotient :: edge^2
Aut^+ = A4 x S3 (small group id <72, 44>)
Aut   = C2 x A4 x S3 (small group id <144, 190>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2^3, Y1^3, (Y2^-1 * Y1^-1)^2, (Y1^-1 * Y2^-1)^2, R * Y1 * R * Y2, (R * Y3)^2, (Y2^-1 * Y3 * Y1^-1)^2, (Y2^-1 * Y1^-1 * Y3)^2, (Y1 * Y2^-1)^3, Y3 * Y1 * Y3 * Y1^-1 * Y3 * Y2 * Y3 * Y2^-1, Y2 * Y3 * Y2^-1 * Y1 * Y2^-1 * Y3 * Y2 * Y1^-1, Y3 * Y1 * Y3 * Y1 * Y3 * Y1^-1 * Y3 * Y1^-1, Y3 * Y2 * Y3 * Y2 * Y3 * Y2^-1 * Y3 * Y2^-1 ]
Map:: polytopal non-degenerate
	R = (1, 73, 4, 76)(2, 74, 8, 80)(3, 75, 11, 83)(5, 77, 18, 90)(6, 78, 20, 92)(7, 79, 21, 93)(9, 81, 27, 99)(10, 82, 28, 100)(12, 84, 33, 105)(13, 85, 34, 106)(14, 86, 36, 108)(15, 87, 39, 111)(16, 88, 41, 113)(17, 89, 42, 114)(19, 91, 45, 117)(22, 94, 48, 120)(23, 95, 50, 122)(24, 96, 51, 123)(25, 97, 53, 125)(26, 98, 54, 126)(29, 101, 57, 129)(30, 102, 58, 130)(31, 103, 59, 131)(32, 104, 60, 132)(35, 107, 62, 134)(37, 109, 64, 136)(38, 110, 65, 137)(40, 112, 68, 140)(43, 115, 66, 138)(44, 116, 67, 139)(46, 118, 69, 141)(47, 119, 70, 142)(49, 121, 63, 135)(52, 124, 71, 143)(55, 127, 72, 144)(56, 128, 61, 133)(145, 146, 149)(147, 154, 156)(148, 157, 159)(150, 163, 151)(152, 166, 168)(153, 170, 161)(155, 173, 175)(158, 172, 181)(160, 184, 165)(162, 176, 188)(164, 190, 167)(169, 196, 186)(171, 199, 187)(174, 189, 200)(177, 191, 193)(178, 192, 204)(179, 198, 182)(180, 207, 203)(183, 195, 211)(185, 213, 205)(194, 202, 212)(197, 216, 209)(201, 208, 214)(206, 215, 210)(217, 219, 222)(218, 223, 225)(220, 230, 232)(221, 233, 226)(224, 239, 241)(227, 246, 248)(228, 242, 235)(229, 237, 251)(231, 254, 244)(234, 259, 245)(236, 240, 263)(238, 258, 265)(243, 260, 272)(247, 271, 261)(249, 268, 262)(250, 277, 269)(252, 274, 267)(253, 270, 256)(255, 282, 279)(257, 276, 286)(264, 281, 273)(266, 278, 283)(275, 287, 284)(280, 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) :: { ( 8^3 ), ( 8^4 ) }
Outer automorphisms :: reflexible
Dual of E13.1211
Graph:: simple bipartite
	v = 84 e = 144 f = 36
	degree seq :: [ 3^48, 4^36 ]

E13.1203 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 3, 3})
Quotient :: edge^2
Aut^+ = A4 x S3 (small group id <72, 44>)
Aut   = C2 x A4 x S3 (small group id <144, 190>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2 * Y1, Y1^2 * Y2^-1, Y2^3, (R * Y3)^2, R * Y2 * R * Y1, Y3 * Y2 * Y3 * Y2 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1, Y3 * Y1 * Y3 * Y2 * Y3 * Y2 * Y3 * Y1 * Y3 * Y1^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y1^-1, Y3 * Y1 * Y3 * Y1 * Y3 * Y2 * Y3 * Y1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y2^-1 * Y3 * Y1^-1, Y3 * Y1 * Y3 * Y2 * Y3 * Y1 * Y3 * Y2 * Y3 * Y1^-1 * Y3 * Y2^-1 * Y3 * Y1^-1 * Y3 * Y2^-1, Y3 * Y2 * Y3 * Y2 * Y3 * Y1 * Y3 * Y2 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y1^-1 * Y3 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 73, 4, 76)(2, 74, 5, 77)(3, 75, 6, 78)(7, 79, 13, 85)(8, 80, 14, 86)(9, 81, 15, 87)(10, 82, 16, 88)(11, 83, 17, 89)(12, 84, 18, 90)(19, 91, 31, 103)(20, 92, 32, 104)(21, 93, 33, 105)(22, 94, 34, 106)(23, 95, 35, 107)(24, 96, 36, 108)(25, 97, 37, 109)(26, 98, 38, 110)(27, 99, 39, 111)(28, 100, 40, 112)(29, 101, 41, 113)(30, 102, 42, 114)(43, 115, 58, 130)(44, 116, 59, 131)(45, 117, 60, 132)(46, 118, 61, 133)(47, 119, 62, 134)(48, 120, 63, 135)(49, 121, 64, 136)(50, 122, 65, 137)(51, 123, 66, 138)(52, 124, 67, 139)(53, 125, 68, 140)(54, 126, 69, 141)(55, 127, 70, 142)(56, 128, 71, 143)(57, 129, 72, 144)(145, 146, 147)(148, 151, 152)(149, 153, 154)(150, 155, 156)(157, 163, 164)(158, 165, 166)(159, 167, 168)(160, 169, 170)(161, 171, 172)(162, 173, 174)(175, 186, 187)(176, 188, 189)(177, 190, 191)(178, 192, 179)(180, 193, 194)(181, 195, 196)(182, 197, 183)(184, 198, 199)(185, 200, 201)(202, 210, 209)(203, 208, 213)(204, 212, 205)(206, 211, 216)(207, 215, 214)(217, 219, 218)(220, 224, 223)(221, 226, 225)(222, 228, 227)(229, 236, 235)(230, 238, 237)(231, 240, 239)(232, 242, 241)(233, 244, 243)(234, 246, 245)(247, 259, 258)(248, 261, 260)(249, 263, 262)(250, 251, 264)(252, 266, 265)(253, 268, 267)(254, 255, 269)(256, 271, 270)(257, 273, 272)(274, 281, 282)(275, 285, 280)(276, 277, 284)(278, 288, 283)(279, 286, 287)
	L = (1, 145)(2, 146)(3, 147)(4, 148)(5, 149)(6, 150)(7, 151)(8, 152)(9, 153)(10, 154)(11, 155)(12, 156)(13, 157)(14, 158)(15, 159)(16, 160)(17, 161)(18, 162)(19, 163)(20, 164)(21, 165)(22, 166)(23, 167)(24, 168)(25, 169)(26, 170)(27, 171)(28, 172)(29, 173)(30, 174)(31, 175)(32, 176)(33, 177)(34, 178)(35, 179)(36, 180)(37, 181)(38, 182)(39, 183)(40, 184)(41, 185)(42, 186)(43, 187)(44, 188)(45, 189)(46, 190)(47, 191)(48, 192)(49, 193)(50, 194)(51, 195)(52, 196)(53, 197)(54, 198)(55, 199)(56, 200)(57, 201)(58, 202)(59, 203)(60, 204)(61, 205)(62, 206)(63, 207)(64, 208)(65, 209)(66, 210)(67, 211)(68, 212)(69, 213)(70, 214)(71, 215)(72, 216)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 8^3 ), ( 8^4 ) }
Outer automorphisms :: reflexible
Dual of E13.1208
Graph:: simple bipartite
	v = 84 e = 144 f = 36
	degree seq :: [ 3^48, 4^36 ]

E13.1204 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 3, 3})
Quotient :: edge^2
Aut^+ = A4 x S3 (small group id <72, 44>)
Aut   = C2 x A4 x S3 (small group id <144, 190>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2^3, Y1^3, (Y2^-1, Y1), (R * Y3)^2, R * Y1 * R * Y2, (Y3 * Y2^-1 * Y1^-1)^2, (Y3 * Y1^-1 * Y2^-1)^2, Y3 * Y1 * Y3 * Y2 * Y3 * Y2^-1 * Y3 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 73, 4, 76)(2, 74, 8, 80)(3, 75, 10, 82)(5, 77, 16, 88)(6, 78, 18, 90)(7, 79, 19, 91)(9, 81, 24, 96)(11, 83, 29, 101)(12, 84, 31, 103)(13, 85, 33, 105)(14, 86, 35, 107)(15, 87, 36, 108)(17, 89, 30, 102)(20, 92, 41, 113)(21, 93, 42, 114)(22, 94, 43, 115)(23, 95, 44, 116)(25, 97, 45, 117)(26, 98, 46, 118)(27, 99, 47, 119)(28, 100, 48, 120)(32, 104, 52, 124)(34, 106, 56, 128)(37, 109, 55, 127)(38, 110, 59, 131)(39, 111, 60, 132)(40, 112, 50, 122)(49, 121, 64, 136)(51, 123, 65, 137)(53, 125, 66, 138)(54, 126, 67, 139)(57, 129, 68, 140)(58, 130, 69, 141)(61, 133, 70, 142)(62, 134, 71, 143)(63, 135, 72, 144)(145, 146, 149)(147, 151, 155)(148, 156, 158)(150, 153, 161)(152, 164, 166)(154, 169, 171)(157, 174, 178)(159, 176, 163)(160, 181, 170)(162, 183, 165)(167, 184, 173)(168, 172, 182)(175, 193, 194)(177, 189, 198)(179, 192, 197)(180, 202, 186)(185, 205, 191)(187, 200, 195)(188, 207, 203)(190, 204, 206)(196, 199, 201)(208, 215, 211)(209, 216, 212)(210, 213, 214)(217, 219, 222)(218, 223, 225)(220, 229, 231)(221, 227, 233)(224, 237, 239)(226, 242, 244)(228, 246, 248)(230, 250, 235)(232, 254, 241)(234, 256, 236)(238, 255, 245)(240, 243, 253)(247, 258, 267)(249, 269, 271)(251, 273, 261)(252, 259, 265)(257, 275, 278)(260, 262, 277)(263, 279, 276)(264, 268, 270)(266, 274, 272)(280, 284, 286)(281, 282, 287)(283, 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) :: { ( 8^3 ), ( 8^4 ) }
Outer automorphisms :: reflexible
Dual of E13.1209
Graph:: simple bipartite
	v = 84 e = 144 f = 36
	degree seq :: [ 3^48, 4^36 ]

E13.1205 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 3, 3})
Quotient :: edge^2
Aut^+ = A4 x S3 (small group id <72, 44>)
Aut   = C2 x A4 x S3 (small group id <144, 190>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2^3, Y1^3, (Y2^-1 * Y1^-1)^2, (Y1 * Y2)^2, (R * Y3)^2, (Y2^-1 * Y1^-1)^2, R * Y1 * R * Y2, (Y2^-1 * Y3 * Y1^-1)^2, Y1^-1 * Y3 * Y1 * Y2 * Y3 * Y2^-1, (Y1^-1 * Y2)^3, Y2^-1 * Y3 * Y1^-1 * Y2^2 * Y3 * Y1^-1, Y1 * Y2^-1 * Y3 * Y1 * Y2^-1 * Y1 * Y3 * Y2^-1, Y3 * Y2^-1 * Y3 * Y2 * Y3 * Y1^-1 * Y3 * Y2^-1, Y1 * Y3 * Y1 * Y2^-1 * Y3 * Y1^-1 * Y3 * Y1 * Y3 ]
Map:: polytopal non-degenerate
	R = (1, 73, 4, 76)(2, 74, 8, 80)(3, 75, 11, 83)(5, 77, 18, 90)(6, 78, 20, 92)(7, 79, 21, 93)(9, 81, 27, 99)(10, 82, 28, 100)(12, 84, 33, 105)(13, 85, 34, 106)(14, 86, 36, 108)(15, 87, 39, 111)(16, 88, 41, 113)(17, 89, 42, 114)(19, 91, 45, 117)(22, 94, 48, 120)(23, 95, 50, 122)(24, 96, 51, 123)(25, 97, 53, 125)(26, 98, 54, 126)(29, 101, 57, 129)(30, 102, 58, 130)(31, 103, 59, 131)(32, 104, 60, 132)(35, 107, 64, 136)(37, 109, 66, 138)(38, 110, 67, 139)(40, 112, 70, 142)(43, 115, 69, 141)(44, 116, 68, 140)(46, 118, 61, 133)(47, 119, 63, 135)(49, 121, 65, 137)(52, 124, 72, 144)(55, 127, 62, 134)(56, 128, 71, 143)(145, 146, 149)(147, 154, 156)(148, 157, 159)(150, 163, 151)(152, 166, 168)(153, 170, 161)(155, 173, 175)(158, 172, 181)(160, 184, 165)(162, 176, 188)(164, 190, 167)(169, 196, 186)(171, 199, 187)(174, 189, 200)(177, 191, 193)(178, 205, 201)(179, 198, 182)(180, 195, 202)(183, 209, 213)(185, 192, 206)(194, 212, 208)(197, 204, 210)(203, 214, 216)(207, 215, 211)(217, 219, 222)(218, 223, 225)(220, 230, 232)(221, 233, 226)(224, 239, 241)(227, 246, 248)(228, 242, 235)(229, 237, 251)(231, 254, 244)(234, 259, 245)(236, 240, 263)(238, 258, 265)(243, 260, 272)(247, 271, 261)(249, 268, 262)(250, 278, 279)(252, 275, 281)(253, 270, 256)(255, 284, 267)(257, 273, 269)(264, 282, 287)(266, 286, 274)(276, 277, 283)(280, 285, 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) :: { ( 8^3 ), ( 8^4 ) }
Outer automorphisms :: reflexible
Dual of E13.1210
Graph:: simple bipartite
	v = 84 e = 144 f = 36
	degree seq :: [ 3^48, 4^36 ]

E13.1206 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 3, 3})
Quotient :: edge^2
Aut^+ = A4 x S3 (small group id <72, 44>)
Aut   = C2 x A4 x S3 (small group id <144, 190>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2^3, Y1^3, (Y2^-1 * Y1^-1)^2, (Y1 * Y2)^2, R * Y1 * R * Y2, (R * Y3)^2, Y3 * Y1 * Y2 * Y3 * Y2^-1 * Y1^-1, (Y2^-1 * Y3 * Y1^-1)^2, (Y1 * Y2^-1)^3, Y2 * Y1^-1 * Y3 * Y1 * Y2^-1 * Y1 * Y3 * Y1^-1, Y3 * Y1^-1 * Y3 * Y1 * Y3 * Y2^-1 * Y3 * Y1^-1, Y1 * Y3 * Y1^-1 * Y3 * Y1 * Y2^-1 * Y3 * Y2^-1 * Y3 ]
Map:: polytopal non-degenerate
	R = (1, 73, 4, 76)(2, 74, 8, 80)(3, 75, 11, 83)(5, 77, 18, 90)(6, 78, 20, 92)(7, 79, 21, 93)(9, 81, 27, 99)(10, 82, 28, 100)(12, 84, 33, 105)(13, 85, 34, 106)(14, 86, 36, 108)(15, 87, 39, 111)(16, 88, 41, 113)(17, 89, 42, 114)(19, 91, 45, 117)(22, 94, 48, 120)(23, 95, 50, 122)(24, 96, 51, 123)(25, 97, 53, 125)(26, 98, 54, 126)(29, 101, 57, 129)(30, 102, 58, 130)(31, 103, 59, 131)(32, 104, 60, 132)(35, 107, 62, 134)(37, 109, 66, 138)(38, 110, 67, 139)(40, 112, 68, 140)(43, 115, 64, 136)(44, 116, 65, 137)(46, 118, 70, 142)(47, 119, 69, 141)(49, 121, 71, 143)(52, 124, 63, 135)(55, 127, 72, 144)(56, 128, 61, 133)(145, 146, 149)(147, 154, 156)(148, 157, 159)(150, 163, 151)(152, 166, 168)(153, 170, 161)(155, 173, 175)(158, 172, 181)(160, 184, 165)(162, 176, 188)(164, 190, 167)(169, 196, 186)(171, 199, 187)(174, 189, 200)(177, 191, 193)(178, 197, 205)(179, 198, 182)(180, 207, 209)(183, 194, 203)(185, 213, 204)(192, 201, 211)(195, 208, 212)(202, 206, 215)(210, 214, 216)(217, 219, 222)(218, 223, 225)(220, 230, 232)(221, 233, 226)(224, 239, 241)(227, 246, 248)(228, 242, 235)(229, 237, 251)(231, 254, 244)(234, 259, 245)(236, 240, 263)(238, 258, 265)(243, 260, 272)(247, 271, 261)(249, 268, 262)(250, 276, 264)(252, 280, 266)(253, 270, 256)(255, 274, 279)(257, 277, 286)(267, 278, 275)(269, 283, 288)(273, 285, 282)(281, 287, 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) :: { ( 8^3 ), ( 8^4 ) }
Outer automorphisms :: reflexible
Dual of E13.1207
Graph:: simple bipartite
	v = 84 e = 144 f = 36
	degree seq :: [ 3^48, 4^36 ]

E13.1207 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 3, 3})
Quotient :: loop^2
Aut^+ = A4 x S3 (small group id <72, 44>)
Aut   = C2 x A4 x S3 (small group id <144, 190>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2^3, Y1^3, (Y2^-1 * Y1^-1)^2, (Y1^-1 * Y2^-1)^2, R * Y1 * R * Y2, (R * Y3)^2, (Y2^-1 * Y3 * Y1^-1)^2, (Y2^-1 * Y1^-1 * Y3)^2, (Y1 * Y2^-1)^3, Y3 * Y1 * Y3 * Y1^-1 * Y3 * Y2 * Y3 * Y2^-1, Y2 * Y3 * Y2^-1 * Y1 * Y2^-1 * Y3 * Y2 * Y1^-1, Y3 * Y1 * Y3 * Y1 * Y3 * Y1^-1 * Y3 * Y1^-1, Y3 * Y2 * Y3 * Y2 * Y3 * Y2^-1 * Y3 * Y2^-1 ]
Map:: polytopal non-degenerate
	R = (1, 73, 145, 217, 4, 76, 148, 220)(2, 74, 146, 218, 8, 80, 152, 224)(3, 75, 147, 219, 11, 83, 155, 227)(5, 77, 149, 221, 18, 90, 162, 234)(6, 78, 150, 222, 20, 92, 164, 236)(7, 79, 151, 223, 21, 93, 165, 237)(9, 81, 153, 225, 27, 99, 171, 243)(10, 82, 154, 226, 28, 100, 172, 244)(12, 84, 156, 228, 33, 105, 177, 249)(13, 85, 157, 229, 34, 106, 178, 250)(14, 86, 158, 230, 36, 108, 180, 252)(15, 87, 159, 231, 39, 111, 183, 255)(16, 88, 160, 232, 41, 113, 185, 257)(17, 89, 161, 233, 42, 114, 186, 258)(19, 91, 163, 235, 45, 117, 189, 261)(22, 94, 166, 238, 48, 120, 192, 264)(23, 95, 167, 239, 50, 122, 194, 266)(24, 96, 168, 240, 51, 123, 195, 267)(25, 97, 169, 241, 53, 125, 197, 269)(26, 98, 170, 242, 54, 126, 198, 270)(29, 101, 173, 245, 57, 129, 201, 273)(30, 102, 174, 246, 58, 130, 202, 274)(31, 103, 175, 247, 59, 131, 203, 275)(32, 104, 176, 248, 60, 132, 204, 276)(35, 107, 179, 251, 62, 134, 206, 278)(37, 109, 181, 253, 64, 136, 208, 280)(38, 110, 182, 254, 65, 137, 209, 281)(40, 112, 184, 256, 68, 140, 212, 284)(43, 115, 187, 259, 66, 138, 210, 282)(44, 116, 188, 260, 67, 139, 211, 283)(46, 118, 190, 262, 69, 141, 213, 285)(47, 119, 191, 263, 70, 142, 214, 286)(49, 121, 193, 265, 63, 135, 207, 279)(52, 124, 196, 268, 71, 143, 215, 287)(55, 127, 199, 271, 72, 144, 216, 288)(56, 128, 200, 272, 61, 133, 205, 277)
	L = (1, 74)(2, 77)(3, 82)(4, 85)(5, 73)(6, 91)(7, 78)(8, 94)(9, 98)(10, 84)(11, 101)(12, 75)(13, 87)(14, 100)(15, 76)(16, 112)(17, 81)(18, 104)(19, 79)(20, 118)(21, 88)(22, 96)(23, 92)(24, 80)(25, 124)(26, 89)(27, 127)(28, 109)(29, 103)(30, 117)(31, 83)(32, 116)(33, 119)(34, 120)(35, 126)(36, 135)(37, 86)(38, 107)(39, 123)(40, 93)(41, 141)(42, 97)(43, 99)(44, 90)(45, 128)(46, 95)(47, 121)(48, 132)(49, 105)(50, 130)(51, 139)(52, 114)(53, 144)(54, 110)(55, 115)(56, 102)(57, 136)(58, 140)(59, 108)(60, 106)(61, 113)(62, 143)(63, 131)(64, 142)(65, 125)(66, 134)(67, 111)(68, 122)(69, 133)(70, 129)(71, 138)(72, 137)(145, 219)(146, 223)(147, 222)(148, 230)(149, 233)(150, 217)(151, 225)(152, 239)(153, 218)(154, 221)(155, 246)(156, 242)(157, 237)(158, 232)(159, 254)(160, 220)(161, 226)(162, 259)(163, 228)(164, 240)(165, 251)(166, 258)(167, 241)(168, 263)(169, 224)(170, 235)(171, 260)(172, 231)(173, 234)(174, 248)(175, 271)(176, 227)(177, 268)(178, 277)(179, 229)(180, 274)(181, 270)(182, 244)(183, 282)(184, 253)(185, 276)(186, 265)(187, 245)(188, 272)(189, 247)(190, 249)(191, 236)(192, 281)(193, 238)(194, 278)(195, 252)(196, 262)(197, 250)(198, 256)(199, 261)(200, 243)(201, 264)(202, 267)(203, 287)(204, 286)(205, 269)(206, 283)(207, 255)(208, 288)(209, 273)(210, 279)(211, 266)(212, 275)(213, 280)(214, 257)(215, 284)(216, 285)
	local type(s) :: { ( 3, 4, 3, 4, 3, 4, 3, 4 ) }
Outer automorphisms :: reflexible
Dual of E13.1206
Transitivity :: VT+
Graph:: simple
	v = 36 e = 144 f = 84
	degree seq :: [ 8^36 ]

E13.1208 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 3, 3})
Quotient :: loop^2
Aut^+ = A4 x S3 (small group id <72, 44>)
Aut   = C2 x A4 x S3 (small group id <144, 190>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2 * Y1, Y1^2 * Y2^-1, Y2^3, (R * Y3)^2, R * Y2 * R * Y1, Y3 * Y2 * Y3 * Y2 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1, Y3 * Y1 * Y3 * Y2 * Y3 * Y2 * Y3 * Y1 * Y3 * Y1^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y1^-1, Y3 * Y1 * Y3 * Y1 * Y3 * Y2 * Y3 * Y1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y2^-1 * Y3 * Y1^-1, Y3 * Y1 * Y3 * Y2 * Y3 * Y1 * Y3 * Y2 * Y3 * Y1^-1 * Y3 * Y2^-1 * Y3 * Y1^-1 * Y3 * Y2^-1, Y3 * Y2 * Y3 * Y2 * Y3 * Y1 * Y3 * Y2 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y1^-1 * Y3 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 73, 145, 217, 4, 76, 148, 220)(2, 74, 146, 218, 5, 77, 149, 221)(3, 75, 147, 219, 6, 78, 150, 222)(7, 79, 151, 223, 13, 85, 157, 229)(8, 80, 152, 224, 14, 86, 158, 230)(9, 81, 153, 225, 15, 87, 159, 231)(10, 82, 154, 226, 16, 88, 160, 232)(11, 83, 155, 227, 17, 89, 161, 233)(12, 84, 156, 228, 18, 90, 162, 234)(19, 91, 163, 235, 31, 103, 175, 247)(20, 92, 164, 236, 32, 104, 176, 248)(21, 93, 165, 237, 33, 105, 177, 249)(22, 94, 166, 238, 34, 106, 178, 250)(23, 95, 167, 239, 35, 107, 179, 251)(24, 96, 168, 240, 36, 108, 180, 252)(25, 97, 169, 241, 37, 109, 181, 253)(26, 98, 170, 242, 38, 110, 182, 254)(27, 99, 171, 243, 39, 111, 183, 255)(28, 100, 172, 244, 40, 112, 184, 256)(29, 101, 173, 245, 41, 113, 185, 257)(30, 102, 174, 246, 42, 114, 186, 258)(43, 115, 187, 259, 58, 130, 202, 274)(44, 116, 188, 260, 59, 131, 203, 275)(45, 117, 189, 261, 60, 132, 204, 276)(46, 118, 190, 262, 61, 133, 205, 277)(47, 119, 191, 263, 62, 134, 206, 278)(48, 120, 192, 264, 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)(52, 124, 196, 268, 67, 139, 211, 283)(53, 125, 197, 269, 68, 140, 212, 284)(54, 126, 198, 270, 69, 141, 213, 285)(55, 127, 199, 271, 70, 142, 214, 286)(56, 128, 200, 272, 71, 143, 215, 287)(57, 129, 201, 273, 72, 144, 216, 288)
	L = (1, 74)(2, 75)(3, 73)(4, 79)(5, 81)(6, 83)(7, 80)(8, 76)(9, 82)(10, 77)(11, 84)(12, 78)(13, 91)(14, 93)(15, 95)(16, 97)(17, 99)(18, 101)(19, 92)(20, 85)(21, 94)(22, 86)(23, 96)(24, 87)(25, 98)(26, 88)(27, 100)(28, 89)(29, 102)(30, 90)(31, 114)(32, 116)(33, 118)(34, 120)(35, 106)(36, 121)(37, 123)(38, 125)(39, 110)(40, 126)(41, 128)(42, 115)(43, 103)(44, 117)(45, 104)(46, 119)(47, 105)(48, 107)(49, 122)(50, 108)(51, 124)(52, 109)(53, 111)(54, 127)(55, 112)(56, 129)(57, 113)(58, 138)(59, 136)(60, 140)(61, 132)(62, 139)(63, 143)(64, 141)(65, 130)(66, 137)(67, 144)(68, 133)(69, 131)(70, 135)(71, 142)(72, 134)(145, 219)(146, 217)(147, 218)(148, 224)(149, 226)(150, 228)(151, 220)(152, 223)(153, 221)(154, 225)(155, 222)(156, 227)(157, 236)(158, 238)(159, 240)(160, 242)(161, 244)(162, 246)(163, 229)(164, 235)(165, 230)(166, 237)(167, 231)(168, 239)(169, 232)(170, 241)(171, 233)(172, 243)(173, 234)(174, 245)(175, 259)(176, 261)(177, 263)(178, 251)(179, 264)(180, 266)(181, 268)(182, 255)(183, 269)(184, 271)(185, 273)(186, 247)(187, 258)(188, 248)(189, 260)(190, 249)(191, 262)(192, 250)(193, 252)(194, 265)(195, 253)(196, 267)(197, 254)(198, 256)(199, 270)(200, 257)(201, 272)(202, 281)(203, 285)(204, 277)(205, 284)(206, 288)(207, 286)(208, 275)(209, 282)(210, 274)(211, 278)(212, 276)(213, 280)(214, 287)(215, 279)(216, 283)
	local type(s) :: { ( 3, 4, 3, 4, 3, 4, 3, 4 ) }
Outer automorphisms :: reflexible
Dual of E13.1203
Transitivity :: VT+
Graph::
	v = 36 e = 144 f = 84
	degree seq :: [ 8^36 ]

E13.1209 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 3, 3})
Quotient :: loop^2
Aut^+ = A4 x S3 (small group id <72, 44>)
Aut   = C2 x A4 x S3 (small group id <144, 190>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2^3, Y1^3, (Y2^-1, Y1), (R * Y3)^2, R * Y1 * R * Y2, (Y3 * Y2^-1 * Y1^-1)^2, (Y3 * Y1^-1 * Y2^-1)^2, Y3 * Y1 * Y3 * Y2 * Y3 * Y2^-1 * Y3 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 73, 145, 217, 4, 76, 148, 220)(2, 74, 146, 218, 8, 80, 152, 224)(3, 75, 147, 219, 10, 82, 154, 226)(5, 77, 149, 221, 16, 88, 160, 232)(6, 78, 150, 222, 18, 90, 162, 234)(7, 79, 151, 223, 19, 91, 163, 235)(9, 81, 153, 225, 24, 96, 168, 240)(11, 83, 155, 227, 29, 101, 173, 245)(12, 84, 156, 228, 31, 103, 175, 247)(13, 85, 157, 229, 33, 105, 177, 249)(14, 86, 158, 230, 35, 107, 179, 251)(15, 87, 159, 231, 36, 108, 180, 252)(17, 89, 161, 233, 30, 102, 174, 246)(20, 92, 164, 236, 41, 113, 185, 257)(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, 45, 117, 189, 261)(26, 98, 170, 242, 46, 118, 190, 262)(27, 99, 171, 243, 47, 119, 191, 263)(28, 100, 172, 244, 48, 120, 192, 264)(32, 104, 176, 248, 52, 124, 196, 268)(34, 106, 178, 250, 56, 128, 200, 272)(37, 109, 181, 253, 55, 127, 199, 271)(38, 110, 182, 254, 59, 131, 203, 275)(39, 111, 183, 255, 60, 132, 204, 276)(40, 112, 184, 256, 50, 122, 194, 266)(49, 121, 193, 265, 64, 136, 208, 280)(51, 123, 195, 267, 65, 137, 209, 281)(53, 125, 197, 269, 66, 138, 210, 282)(54, 126, 198, 270, 67, 139, 211, 283)(57, 129, 201, 273, 68, 140, 212, 284)(58, 130, 202, 274, 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, 77)(3, 79)(4, 84)(5, 73)(6, 81)(7, 83)(8, 92)(9, 89)(10, 97)(11, 75)(12, 86)(13, 102)(14, 76)(15, 104)(16, 109)(17, 78)(18, 111)(19, 87)(20, 94)(21, 90)(22, 80)(23, 112)(24, 100)(25, 99)(26, 88)(27, 82)(28, 110)(29, 95)(30, 106)(31, 121)(32, 91)(33, 117)(34, 85)(35, 120)(36, 130)(37, 98)(38, 96)(39, 93)(40, 101)(41, 133)(42, 108)(43, 128)(44, 135)(45, 126)(46, 132)(47, 113)(48, 125)(49, 122)(50, 103)(51, 115)(52, 127)(53, 107)(54, 105)(55, 129)(56, 123)(57, 124)(58, 114)(59, 116)(60, 134)(61, 119)(62, 118)(63, 131)(64, 143)(65, 144)(66, 141)(67, 136)(68, 137)(69, 142)(70, 138)(71, 139)(72, 140)(145, 219)(146, 223)(147, 222)(148, 229)(149, 227)(150, 217)(151, 225)(152, 237)(153, 218)(154, 242)(155, 233)(156, 246)(157, 231)(158, 250)(159, 220)(160, 254)(161, 221)(162, 256)(163, 230)(164, 234)(165, 239)(166, 255)(167, 224)(168, 243)(169, 232)(170, 244)(171, 253)(172, 226)(173, 238)(174, 248)(175, 258)(176, 228)(177, 269)(178, 235)(179, 273)(180, 259)(181, 240)(182, 241)(183, 245)(184, 236)(185, 275)(186, 267)(187, 265)(188, 262)(189, 251)(190, 277)(191, 279)(192, 268)(193, 252)(194, 274)(195, 247)(196, 270)(197, 271)(198, 264)(199, 249)(200, 266)(201, 261)(202, 272)(203, 278)(204, 263)(205, 260)(206, 257)(207, 276)(208, 284)(209, 282)(210, 287)(211, 288)(212, 286)(213, 283)(214, 280)(215, 281)(216, 285)
	local type(s) :: { ( 3, 4, 3, 4, 3, 4, 3, 4 ) }
Outer automorphisms :: reflexible
Dual of E13.1204
Transitivity :: VT+
Graph:: simple
	v = 36 e = 144 f = 84
	degree seq :: [ 8^36 ]

E13.1210 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 3, 3})
Quotient :: loop^2
Aut^+ = A4 x S3 (small group id <72, 44>)
Aut   = C2 x A4 x S3 (small group id <144, 190>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2^3, Y1^3, (Y2^-1 * Y1^-1)^2, (Y1 * Y2)^2, (R * Y3)^2, (Y2^-1 * Y1^-1)^2, R * Y1 * R * Y2, (Y2^-1 * Y3 * Y1^-1)^2, Y1^-1 * Y3 * Y1 * Y2 * Y3 * Y2^-1, (Y1^-1 * Y2)^3, Y2^-1 * Y3 * Y1^-1 * Y2^2 * Y3 * Y1^-1, Y1 * Y2^-1 * Y3 * Y1 * Y2^-1 * Y1 * Y3 * Y2^-1, Y3 * Y2^-1 * Y3 * Y2 * Y3 * Y1^-1 * Y3 * Y2^-1, Y1 * Y3 * Y1 * Y2^-1 * Y3 * Y1^-1 * Y3 * Y1 * Y3 ]
Map:: polytopal non-degenerate
	R = (1, 73, 145, 217, 4, 76, 148, 220)(2, 74, 146, 218, 8, 80, 152, 224)(3, 75, 147, 219, 11, 83, 155, 227)(5, 77, 149, 221, 18, 90, 162, 234)(6, 78, 150, 222, 20, 92, 164, 236)(7, 79, 151, 223, 21, 93, 165, 237)(9, 81, 153, 225, 27, 99, 171, 243)(10, 82, 154, 226, 28, 100, 172, 244)(12, 84, 156, 228, 33, 105, 177, 249)(13, 85, 157, 229, 34, 106, 178, 250)(14, 86, 158, 230, 36, 108, 180, 252)(15, 87, 159, 231, 39, 111, 183, 255)(16, 88, 160, 232, 41, 113, 185, 257)(17, 89, 161, 233, 42, 114, 186, 258)(19, 91, 163, 235, 45, 117, 189, 261)(22, 94, 166, 238, 48, 120, 192, 264)(23, 95, 167, 239, 50, 122, 194, 266)(24, 96, 168, 240, 51, 123, 195, 267)(25, 97, 169, 241, 53, 125, 197, 269)(26, 98, 170, 242, 54, 126, 198, 270)(29, 101, 173, 245, 57, 129, 201, 273)(30, 102, 174, 246, 58, 130, 202, 274)(31, 103, 175, 247, 59, 131, 203, 275)(32, 104, 176, 248, 60, 132, 204, 276)(35, 107, 179, 251, 64, 136, 208, 280)(37, 109, 181, 253, 66, 138, 210, 282)(38, 110, 182, 254, 67, 139, 211, 283)(40, 112, 184, 256, 70, 142, 214, 286)(43, 115, 187, 259, 69, 141, 213, 285)(44, 116, 188, 260, 68, 140, 212, 284)(46, 118, 190, 262, 61, 133, 205, 277)(47, 119, 191, 263, 63, 135, 207, 279)(49, 121, 193, 265, 65, 137, 209, 281)(52, 124, 196, 268, 72, 144, 216, 288)(55, 127, 199, 271, 62, 134, 206, 278)(56, 128, 200, 272, 71, 143, 215, 287)
	L = (1, 74)(2, 77)(3, 82)(4, 85)(5, 73)(6, 91)(7, 78)(8, 94)(9, 98)(10, 84)(11, 101)(12, 75)(13, 87)(14, 100)(15, 76)(16, 112)(17, 81)(18, 104)(19, 79)(20, 118)(21, 88)(22, 96)(23, 92)(24, 80)(25, 124)(26, 89)(27, 127)(28, 109)(29, 103)(30, 117)(31, 83)(32, 116)(33, 119)(34, 133)(35, 126)(36, 123)(37, 86)(38, 107)(39, 137)(40, 93)(41, 120)(42, 97)(43, 99)(44, 90)(45, 128)(46, 95)(47, 121)(48, 134)(49, 105)(50, 140)(51, 130)(52, 114)(53, 132)(54, 110)(55, 115)(56, 102)(57, 106)(58, 108)(59, 142)(60, 138)(61, 129)(62, 113)(63, 143)(64, 122)(65, 141)(66, 125)(67, 135)(68, 136)(69, 111)(70, 144)(71, 139)(72, 131)(145, 219)(146, 223)(147, 222)(148, 230)(149, 233)(150, 217)(151, 225)(152, 239)(153, 218)(154, 221)(155, 246)(156, 242)(157, 237)(158, 232)(159, 254)(160, 220)(161, 226)(162, 259)(163, 228)(164, 240)(165, 251)(166, 258)(167, 241)(168, 263)(169, 224)(170, 235)(171, 260)(172, 231)(173, 234)(174, 248)(175, 271)(176, 227)(177, 268)(178, 278)(179, 229)(180, 275)(181, 270)(182, 244)(183, 284)(184, 253)(185, 273)(186, 265)(187, 245)(188, 272)(189, 247)(190, 249)(191, 236)(192, 282)(193, 238)(194, 286)(195, 255)(196, 262)(197, 257)(198, 256)(199, 261)(200, 243)(201, 269)(202, 266)(203, 281)(204, 277)(205, 283)(206, 279)(207, 250)(208, 285)(209, 252)(210, 287)(211, 276)(212, 267)(213, 288)(214, 274)(215, 264)(216, 280)
	local type(s) :: { ( 3, 4, 3, 4, 3, 4, 3, 4 ) }
Outer automorphisms :: reflexible
Dual of E13.1205
Transitivity :: VT+
Graph:: simple
	v = 36 e = 144 f = 84
	degree seq :: [ 8^36 ]

E13.1211 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 3, 3})
Quotient :: loop^2
Aut^+ = A4 x S3 (small group id <72, 44>)
Aut   = C2 x A4 x S3 (small group id <144, 190>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2^3, Y1^3, (Y2^-1 * Y1^-1)^2, (Y1 * Y2)^2, R * Y1 * R * Y2, (R * Y3)^2, Y3 * Y1 * Y2 * Y3 * Y2^-1 * Y1^-1, (Y2^-1 * Y3 * Y1^-1)^2, (Y1 * Y2^-1)^3, Y2 * Y1^-1 * Y3 * Y1 * Y2^-1 * Y1 * Y3 * Y1^-1, Y3 * Y1^-1 * Y3 * Y1 * Y3 * Y2^-1 * Y3 * Y1^-1, Y1 * Y3 * Y1^-1 * Y3 * Y1 * Y2^-1 * Y3 * Y2^-1 * Y3 ]
Map:: polytopal non-degenerate
	R = (1, 73, 145, 217, 4, 76, 148, 220)(2, 74, 146, 218, 8, 80, 152, 224)(3, 75, 147, 219, 11, 83, 155, 227)(5, 77, 149, 221, 18, 90, 162, 234)(6, 78, 150, 222, 20, 92, 164, 236)(7, 79, 151, 223, 21, 93, 165, 237)(9, 81, 153, 225, 27, 99, 171, 243)(10, 82, 154, 226, 28, 100, 172, 244)(12, 84, 156, 228, 33, 105, 177, 249)(13, 85, 157, 229, 34, 106, 178, 250)(14, 86, 158, 230, 36, 108, 180, 252)(15, 87, 159, 231, 39, 111, 183, 255)(16, 88, 160, 232, 41, 113, 185, 257)(17, 89, 161, 233, 42, 114, 186, 258)(19, 91, 163, 235, 45, 117, 189, 261)(22, 94, 166, 238, 48, 120, 192, 264)(23, 95, 167, 239, 50, 122, 194, 266)(24, 96, 168, 240, 51, 123, 195, 267)(25, 97, 169, 241, 53, 125, 197, 269)(26, 98, 170, 242, 54, 126, 198, 270)(29, 101, 173, 245, 57, 129, 201, 273)(30, 102, 174, 246, 58, 130, 202, 274)(31, 103, 175, 247, 59, 131, 203, 275)(32, 104, 176, 248, 60, 132, 204, 276)(35, 107, 179, 251, 62, 134, 206, 278)(37, 109, 181, 253, 66, 138, 210, 282)(38, 110, 182, 254, 67, 139, 211, 283)(40, 112, 184, 256, 68, 140, 212, 284)(43, 115, 187, 259, 64, 136, 208, 280)(44, 116, 188, 260, 65, 137, 209, 281)(46, 118, 190, 262, 70, 142, 214, 286)(47, 119, 191, 263, 69, 141, 213, 285)(49, 121, 193, 265, 71, 143, 215, 287)(52, 124, 196, 268, 63, 135, 207, 279)(55, 127, 199, 271, 72, 144, 216, 288)(56, 128, 200, 272, 61, 133, 205, 277)
	L = (1, 74)(2, 77)(3, 82)(4, 85)(5, 73)(6, 91)(7, 78)(8, 94)(9, 98)(10, 84)(11, 101)(12, 75)(13, 87)(14, 100)(15, 76)(16, 112)(17, 81)(18, 104)(19, 79)(20, 118)(21, 88)(22, 96)(23, 92)(24, 80)(25, 124)(26, 89)(27, 127)(28, 109)(29, 103)(30, 117)(31, 83)(32, 116)(33, 119)(34, 125)(35, 126)(36, 135)(37, 86)(38, 107)(39, 122)(40, 93)(41, 141)(42, 97)(43, 99)(44, 90)(45, 128)(46, 95)(47, 121)(48, 129)(49, 105)(50, 131)(51, 136)(52, 114)(53, 133)(54, 110)(55, 115)(56, 102)(57, 139)(58, 134)(59, 111)(60, 113)(61, 106)(62, 143)(63, 137)(64, 140)(65, 108)(66, 142)(67, 120)(68, 123)(69, 132)(70, 144)(71, 130)(72, 138)(145, 219)(146, 223)(147, 222)(148, 230)(149, 233)(150, 217)(151, 225)(152, 239)(153, 218)(154, 221)(155, 246)(156, 242)(157, 237)(158, 232)(159, 254)(160, 220)(161, 226)(162, 259)(163, 228)(164, 240)(165, 251)(166, 258)(167, 241)(168, 263)(169, 224)(170, 235)(171, 260)(172, 231)(173, 234)(174, 248)(175, 271)(176, 227)(177, 268)(178, 276)(179, 229)(180, 280)(181, 270)(182, 244)(183, 274)(184, 253)(185, 277)(186, 265)(187, 245)(188, 272)(189, 247)(190, 249)(191, 236)(192, 250)(193, 238)(194, 252)(195, 278)(196, 262)(197, 283)(198, 256)(199, 261)(200, 243)(201, 285)(202, 279)(203, 267)(204, 264)(205, 286)(206, 275)(207, 255)(208, 266)(209, 287)(210, 273)(211, 288)(212, 281)(213, 282)(214, 257)(215, 284)(216, 269)
	local type(s) :: { ( 3, 4, 3, 4, 3, 4, 3, 4 ) }
Outer automorphisms :: reflexible
Dual of E13.1202
Transitivity :: VT+
Graph:: simple
	v = 36 e = 144 f = 84
	degree seq :: [ 8^36 ]

E13.1212 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 2, 6})
Quotient :: halfedge^2
Aut^+ = C2 x S3 x S3 (small group id <72, 46>)
Aut   = D24 x S3 (small group id <144, 144>)
|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 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y2 * Y1, (Y2 * Y3)^6 ]
Map:: polytopal non-degenerate
	R = (1, 74, 2, 73)(3, 79, 7, 75)(4, 81, 9, 76)(5, 83, 11, 77)(6, 85, 13, 78)(8, 84, 12, 80)(10, 86, 14, 82)(15, 97, 25, 87)(16, 98, 26, 88)(17, 99, 27, 89)(18, 101, 29, 90)(19, 102, 30, 91)(20, 104, 32, 92)(21, 105, 33, 93)(22, 106, 34, 94)(23, 108, 36, 95)(24, 109, 37, 96)(28, 107, 35, 100)(31, 110, 38, 103)(39, 119, 47, 111)(40, 120, 48, 112)(41, 121, 49, 113)(42, 127, 55, 114)(43, 128, 56, 115)(44, 124, 52, 116)(45, 130, 58, 117)(46, 131, 59, 118)(50, 132, 60, 122)(51, 133, 61, 123)(53, 135, 63, 125)(54, 136, 64, 126)(57, 134, 62, 129)(65, 140, 68, 137)(66, 143, 71, 138)(67, 142, 70, 139)(69, 144, 72, 141)
	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, 57)(50, 61)(52, 63)(54, 62)(55, 65)(59, 66)(60, 68)(64, 69)(67, 71)(70, 72)(73, 76)(74, 78)(75, 80)(77, 84)(79, 88)(81, 87)(82, 91)(83, 93)(85, 92)(86, 96)(89, 100)(90, 102)(94, 107)(95, 109)(97, 112)(98, 111)(99, 114)(101, 116)(103, 118)(104, 120)(105, 119)(106, 122)(108, 124)(110, 126)(113, 127)(115, 129)(117, 131)(121, 132)(123, 134)(125, 136)(128, 138)(130, 139)(133, 141)(135, 142)(137, 143)(140, 144)
	local type(s) :: { ( 12^4 ) }
Outer automorphisms :: reflexible
Dual of E13.1215
Transitivity :: VT+ AT
Graph:: simple bipartite
	v = 36 e = 72 f = 12
	degree seq :: [ 4^36 ]

E13.1213 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 2, 6})
Quotient :: halfedge^2
Aut^+ = (C6 x S3) : C2 (small group id <72, 23>)
Aut   = D24 x S3 (small group id <144, 144>)
|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)^12 ]
Map:: non-degenerate
	R = (1, 74, 2, 73)(3, 79, 7, 75)(4, 81, 9, 76)(5, 83, 11, 77)(6, 85, 13, 78)(8, 84, 12, 80)(10, 86, 14, 82)(15, 95, 23, 87)(16, 96, 24, 88)(17, 97, 25, 89)(18, 98, 26, 90)(19, 99, 27, 91)(20, 100, 28, 92)(21, 101, 29, 93)(22, 102, 30, 94)(31, 109, 37, 103)(32, 110, 38, 104)(33, 111, 39, 105)(34, 112, 40, 106)(35, 113, 41, 107)(36, 114, 42, 108)(43, 121, 49, 115)(44, 122, 50, 116)(45, 123, 51, 117)(46, 124, 52, 118)(47, 125, 53, 119)(48, 126, 54, 120)(55, 133, 61, 127)(56, 134, 62, 128)(57, 135, 63, 129)(58, 136, 64, 130)(59, 137, 65, 131)(60, 138, 66, 132)(67, 142, 70, 139)(68, 143, 71, 140)(69, 144, 72, 141)
	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, 55)(50, 57)(51, 56)(52, 58)(53, 60)(54, 59)(61, 67)(62, 69)(63, 68)(64, 70)(65, 72)(66, 71)(73, 76)(74, 78)(75, 80)(77, 84)(79, 88)(81, 87)(82, 89)(83, 92)(85, 91)(86, 93)(90, 97)(94, 101)(95, 104)(96, 103)(98, 105)(99, 107)(100, 106)(102, 108)(109, 116)(110, 115)(111, 117)(112, 119)(113, 118)(114, 120)(121, 128)(122, 127)(123, 129)(124, 131)(125, 130)(126, 132)(133, 140)(134, 139)(135, 141)(136, 143)(137, 142)(138, 144)
	local type(s) :: { ( 12^4 ) }
Outer automorphisms :: reflexible
Dual of E13.1216
Transitivity :: VT+ AT
Graph:: simple bipartite
	v = 36 e = 72 f = 12
	degree seq :: [ 4^36 ]

E13.1214 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 2, 6})
Quotient :: halfedge^2
Aut^+ = (C6 x S3) : C2 (small group id <72, 23>)
Aut   = (C2 x S3 x S3) : C2 (small group id <144, 154>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, Y3^2, R^2, R * Y3 * R * Y2, (R * Y1)^2, Y3 * Y2 * Y1 * Y2 * Y3 * Y1, (Y2 * Y3)^6, (Y2 * Y1 * Y3 * Y1)^3 ]
Map:: polytopal non-degenerate
	R = (1, 74, 2, 73)(3, 79, 7, 75)(4, 81, 9, 76)(5, 83, 11, 77)(6, 85, 13, 78)(8, 84, 12, 80)(10, 86, 14, 82)(15, 97, 25, 87)(16, 98, 26, 88)(17, 99, 27, 89)(18, 101, 29, 90)(19, 102, 30, 91)(20, 104, 32, 92)(21, 105, 33, 93)(22, 106, 34, 94)(23, 108, 36, 95)(24, 109, 37, 96)(28, 107, 35, 100)(31, 110, 38, 103)(39, 127, 55, 111)(40, 128, 56, 112)(41, 124, 52, 113)(42, 129, 57, 114)(43, 130, 58, 115)(44, 121, 49, 116)(45, 132, 60, 117)(46, 133, 61, 118)(47, 134, 62, 119)(48, 135, 63, 120)(50, 136, 64, 122)(51, 137, 65, 123)(53, 139, 67, 125)(54, 140, 68, 126)(59, 138, 66, 131)(69, 144, 72, 141)(70, 143, 71, 142)
	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, 58)(44, 60)(46, 59)(50, 65)(52, 67)(54, 66)(55, 69)(56, 64)(57, 63)(61, 70)(62, 71)(68, 72)(73, 76)(74, 78)(75, 80)(77, 84)(79, 88)(81, 87)(82, 91)(83, 93)(85, 92)(86, 96)(89, 100)(90, 102)(94, 107)(95, 109)(97, 112)(98, 111)(99, 114)(101, 116)(103, 118)(104, 120)(105, 119)(106, 122)(108, 124)(110, 126)(113, 129)(115, 131)(117, 133)(121, 136)(123, 138)(125, 140)(127, 139)(128, 141)(130, 142)(132, 134)(135, 143)(137, 144)
	local type(s) :: { ( 12^4 ) }
Outer automorphisms :: reflexible
Dual of E13.1217
Transitivity :: VT+ AT
Graph:: simple bipartite
	v = 36 e = 72 f = 12
	degree seq :: [ 4^36 ]

E13.1215 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 2, 6})
Quotient :: halfedge^2
Aut^+ = C2 x S3 x S3 (small group id <72, 46>)
Aut   = D24 x S3 (small group id <144, 144>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, R * Y3 * R * Y2, (R * Y1)^2, Y3 * Y2 * Y3 * Y2 * Y1^2, (Y2 * Y3 * Y1^-1)^2, Y3 * Y1 * Y3 * Y2 * Y1^-1 * Y2, Y1^6, (Y1^-1 * Y3 * Y1^-1)^2, (Y1^-1 * Y2 * Y1^-1)^2, Y3 * Y1 * Y3 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1^-1 * Y2 * Y1^-1, Y3 * Y1 * Y3 * Y1^-1 * Y2 * Y1 * Y2 * Y1^-1 * Y2 * Y1 * Y2 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 74, 2, 78, 6, 90, 18, 89, 17, 77, 5, 73)(3, 81, 9, 99, 27, 112, 40, 91, 19, 83, 11, 75)(4, 84, 12, 104, 32, 113, 41, 92, 20, 86, 14, 76)(7, 93, 21, 87, 15, 107, 35, 109, 37, 95, 23, 79)(8, 96, 24, 88, 16, 108, 36, 110, 38, 98, 26, 80)(10, 94, 22, 111, 39, 106, 34, 85, 13, 97, 25, 82)(28, 119, 47, 102, 30, 123, 51, 126, 54, 120, 48, 100)(29, 121, 49, 103, 31, 124, 52, 105, 33, 122, 50, 101)(42, 127, 55, 116, 44, 131, 59, 125, 53, 128, 56, 114)(43, 129, 57, 117, 45, 132, 60, 118, 46, 130, 58, 115)(61, 141, 69, 135, 63, 144, 72, 138, 66, 139, 67, 133)(62, 142, 70, 136, 64, 143, 71, 137, 65, 140, 68, 134)
	L = (1, 3)(2, 7)(4, 13)(5, 15)(6, 19)(8, 25)(9, 28)(10, 20)(11, 30)(12, 33)(14, 29)(16, 34)(17, 27)(18, 37)(21, 42)(22, 38)(23, 44)(24, 46)(26, 43)(31, 41)(32, 39)(35, 53)(36, 45)(40, 54)(47, 61)(48, 63)(49, 65)(50, 62)(51, 66)(52, 64)(55, 67)(56, 69)(57, 71)(58, 68)(59, 72)(60, 70)(73, 76)(74, 80)(75, 82)(77, 88)(78, 92)(79, 94)(81, 101)(83, 103)(84, 100)(85, 99)(86, 102)(87, 97)(89, 104)(90, 110)(91, 111)(93, 115)(95, 117)(96, 114)(98, 116)(105, 112)(106, 109)(107, 118)(108, 125)(113, 126)(119, 134)(120, 136)(121, 133)(122, 135)(123, 137)(124, 138)(127, 140)(128, 142)(129, 139)(130, 141)(131, 143)(132, 144)
	local type(s) :: { ( 4^12 ) }
Outer automorphisms :: reflexible
Dual of E13.1212
Transitivity :: VT+ AT
Graph:: bipartite
	v = 12 e = 72 f = 36
	degree seq :: [ 12^12 ]

E13.1216 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 2, 6})
Quotient :: halfedge^2
Aut^+ = (C6 x S3) : C2 (small group id <72, 23>)
Aut   = D24 x S3 (small group id <144, 144>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, Y2 * Y3 * Y1^2, R * Y3 * R * Y2, (R * Y1)^2, Y1^-4 * Y2 * Y3, Y2 * Y1^-1 * Y3 * 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 ]
Map:: non-degenerate
	R = (1, 74, 2, 78, 6, 86, 14, 82, 10, 77, 5, 73)(3, 81, 9, 87, 15, 84, 12, 76, 4, 83, 11, 75)(7, 88, 16, 85, 13, 90, 18, 80, 8, 89, 17, 79)(19, 97, 25, 93, 21, 99, 27, 92, 20, 98, 26, 91)(22, 100, 28, 96, 24, 102, 30, 95, 23, 101, 29, 94)(31, 109, 37, 105, 33, 111, 39, 104, 32, 110, 38, 103)(34, 112, 40, 108, 36, 114, 42, 107, 35, 113, 41, 106)(43, 121, 49, 117, 45, 123, 51, 116, 44, 122, 50, 115)(46, 124, 52, 120, 48, 126, 54, 119, 47, 125, 53, 118)(55, 133, 61, 129, 57, 135, 63, 128, 56, 134, 62, 127)(58, 136, 64, 132, 60, 138, 66, 131, 59, 137, 65, 130)(67, 142, 70, 141, 69, 144, 72, 140, 68, 143, 71, 139)
	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, 55)(50, 57)(51, 56)(52, 58)(53, 60)(54, 59)(61, 67)(62, 69)(63, 68)(64, 70)(65, 72)(66, 71)(73, 76)(74, 80)(75, 82)(77, 79)(78, 87)(81, 92)(83, 91)(84, 93)(85, 86)(88, 95)(89, 94)(90, 96)(97, 104)(98, 103)(99, 105)(100, 107)(101, 106)(102, 108)(109, 116)(110, 115)(111, 117)(112, 119)(113, 118)(114, 120)(121, 128)(122, 127)(123, 129)(124, 131)(125, 130)(126, 132)(133, 140)(134, 139)(135, 141)(136, 143)(137, 142)(138, 144)
	local type(s) :: { ( 4^12 ) }
Outer automorphisms :: reflexible
Dual of E13.1213
Transitivity :: VT+ AT
Graph:: bipartite
	v = 12 e = 72 f = 36
	degree seq :: [ 12^12 ]

E13.1217 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 2, 6})
Quotient :: halfedge^2
Aut^+ = (C6 x S3) : C2 (small group id <72, 23>)
Aut   = (C2 x S3 x S3) : C2 (small group id <144, 154>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, R * Y3 * R * Y2, (R * Y1)^2, Y2 * Y3 * Y1^-2 * Y2 * Y3, Y3 * Y2 * Y1 * Y2 * Y3 * Y1^-1, (Y1^-1 * Y2 * Y1^-1)^2, (Y1^-1 * Y3 * Y1^-1)^2, Y1^6, Y3 * Y1 * Y3 * Y1^-1 * Y2 * Y1 * Y3 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 74, 2, 78, 6, 90, 18, 89, 17, 77, 5, 73)(3, 81, 9, 99, 27, 112, 40, 91, 19, 83, 11, 75)(4, 84, 12, 104, 32, 113, 41, 92, 20, 86, 14, 76)(7, 93, 21, 87, 15, 107, 35, 109, 37, 95, 23, 79)(8, 96, 24, 88, 16, 108, 36, 110, 38, 98, 26, 80)(10, 94, 22, 111, 39, 106, 34, 85, 13, 97, 25, 82)(28, 119, 47, 102, 30, 123, 51, 126, 54, 120, 48, 100)(29, 121, 49, 103, 31, 124, 52, 105, 33, 122, 50, 101)(42, 127, 55, 116, 44, 131, 59, 125, 53, 128, 56, 114)(43, 129, 57, 117, 45, 132, 60, 118, 46, 130, 58, 115)(61, 143, 71, 135, 63, 140, 68, 138, 66, 142, 70, 133)(62, 139, 67, 136, 64, 141, 69, 137, 65, 144, 72, 134)
	L = (1, 3)(2, 7)(4, 13)(5, 15)(6, 19)(8, 25)(9, 28)(10, 20)(11, 30)(12, 33)(14, 29)(16, 34)(17, 27)(18, 37)(21, 42)(22, 38)(23, 44)(24, 46)(26, 43)(31, 41)(32, 39)(35, 53)(36, 45)(40, 54)(47, 61)(48, 63)(49, 65)(50, 62)(51, 66)(52, 64)(55, 67)(56, 69)(57, 71)(58, 68)(59, 72)(60, 70)(73, 76)(74, 80)(75, 82)(77, 88)(78, 92)(79, 94)(81, 101)(83, 103)(84, 100)(85, 99)(86, 102)(87, 97)(89, 104)(90, 110)(91, 111)(93, 115)(95, 117)(96, 114)(98, 116)(105, 112)(106, 109)(107, 118)(108, 125)(113, 126)(119, 134)(120, 136)(121, 133)(122, 135)(123, 137)(124, 138)(127, 140)(128, 142)(129, 139)(130, 141)(131, 143)(132, 144)
	local type(s) :: { ( 4^12 ) }
Outer automorphisms :: reflexible
Dual of E13.1214
Transitivity :: VT+ AT
Graph:: bipartite
	v = 12 e = 72 f = 36
	degree seq :: [ 12^12 ]

E13.1218 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 2, 6})
Quotient :: edge^2
Aut^+ = C2 x S3 x S3 (small group id <72, 46>)
Aut   = D24 x S3 (small group id <144, 144>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, Y3^2, R^2, (R * Y3)^2, R * Y1 * R * Y2, Y2 * Y3 * Y2 * Y1 * Y3 * Y1, Y3 * Y2 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y2, (Y1 * Y2)^6 ]
Map:: polytopal
	R = (1, 73, 4, 76)(2, 74, 6, 78)(3, 75, 8, 80)(5, 77, 12, 84)(7, 79, 16, 88)(9, 81, 18, 90)(10, 82, 19, 91)(11, 83, 21, 93)(13, 85, 23, 95)(14, 86, 24, 96)(15, 87, 26, 98)(17, 89, 28, 100)(20, 92, 33, 105)(22, 94, 35, 107)(25, 97, 40, 112)(27, 99, 42, 114)(29, 101, 44, 116)(30, 102, 45, 117)(31, 103, 46, 118)(32, 104, 48, 120)(34, 106, 50, 122)(36, 108, 52, 124)(37, 109, 53, 125)(38, 110, 54, 126)(39, 111, 55, 127)(41, 113, 57, 129)(43, 115, 59, 131)(47, 119, 60, 132)(49, 121, 62, 134)(51, 123, 64, 136)(56, 128, 65, 137)(58, 130, 67, 139)(61, 133, 68, 140)(63, 135, 70, 142)(66, 138, 71, 143)(69, 141, 72, 144)(145, 146)(147, 151)(148, 153)(149, 155)(150, 157)(152, 161)(154, 160)(156, 166)(158, 165)(159, 169)(162, 173)(163, 175)(164, 176)(167, 180)(168, 182)(170, 185)(171, 184)(172, 181)(174, 179)(177, 193)(178, 192)(183, 191)(186, 202)(187, 201)(188, 196)(189, 198)(190, 197)(194, 207)(195, 206)(199, 205)(200, 204)(203, 211)(208, 214)(209, 213)(210, 212)(215, 216)(217, 219)(218, 221)(220, 226)(222, 230)(223, 231)(224, 229)(225, 228)(227, 236)(232, 243)(233, 242)(234, 246)(235, 245)(237, 250)(238, 249)(239, 253)(240, 252)(241, 255)(244, 259)(247, 258)(248, 263)(251, 267)(254, 266)(256, 272)(257, 271)(260, 269)(261, 268)(262, 275)(264, 277)(265, 276)(270, 280)(273, 282)(274, 281)(278, 285)(279, 284)(283, 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) :: { ( 24, 24 ), ( 24^4 ) }
Outer automorphisms :: reflexible
Dual of E13.1227
Graph:: simple bipartite
	v = 108 e = 144 f = 12
	degree seq :: [ 2^72, 4^36 ]

E13.1219 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 2, 6})
Quotient :: edge^2
Aut^+ = (C6 x S3) : C2 (small group id <72, 23>)
Aut   = D24 x S3 (small group id <144, 144>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, Y3^2, R^2, (R * Y3)^2, R * Y1 * R * Y2, Y3 * Y2 * Y1 * Y3 * Y1 * Y2, (Y2 * Y1)^3, (Y3 * Y2)^12 ]
Map::
	R = (1, 73, 4, 76)(2, 74, 6, 78)(3, 75, 8, 80)(5, 77, 12, 84)(7, 79, 15, 87)(9, 81, 17, 89)(10, 82, 18, 90)(11, 83, 19, 91)(13, 85, 21, 93)(14, 86, 22, 94)(16, 88, 23, 95)(20, 92, 27, 99)(24, 96, 31, 103)(25, 97, 32, 104)(26, 98, 33, 105)(28, 100, 34, 106)(29, 101, 35, 107)(30, 102, 36, 108)(37, 109, 43, 115)(38, 110, 44, 116)(39, 111, 45, 117)(40, 112, 46, 118)(41, 113, 47, 119)(42, 114, 48, 120)(49, 121, 55, 127)(50, 122, 56, 128)(51, 123, 57, 129)(52, 124, 58, 130)(53, 125, 59, 131)(54, 126, 60, 132)(61, 133, 67, 139)(62, 134, 68, 140)(63, 135, 69, 141)(64, 136, 70, 142)(65, 137, 71, 143)(66, 138, 72, 144)(145, 146)(147, 151)(148, 153)(149, 155)(150, 157)(152, 160)(154, 159)(156, 164)(158, 163)(161, 168)(162, 170)(165, 172)(166, 174)(167, 173)(169, 171)(175, 181)(176, 183)(177, 182)(178, 184)(179, 186)(180, 185)(187, 193)(188, 195)(189, 194)(190, 196)(191, 198)(192, 197)(199, 205)(200, 207)(201, 206)(202, 208)(203, 210)(204, 209)(211, 214)(212, 216)(213, 215)(217, 219)(218, 221)(220, 226)(222, 230)(223, 227)(224, 229)(225, 228)(231, 236)(232, 235)(233, 241)(234, 240)(237, 245)(238, 244)(239, 246)(242, 243)(247, 254)(248, 253)(249, 255)(250, 257)(251, 256)(252, 258)(259, 266)(260, 265)(261, 267)(262, 269)(263, 268)(264, 270)(271, 278)(272, 277)(273, 279)(274, 281)(275, 280)(276, 282)(283, 287)(284, 286)(285, 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 ), ( 24^4 ) }
Outer automorphisms :: reflexible
Dual of E13.1228
Graph:: simple bipartite
	v = 108 e = 144 f = 12
	degree seq :: [ 2^72, 4^36 ]

E13.1220 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 2, 6})
Quotient :: edge^2
Aut^+ = (C6 x S3) : C2 (small group id <72, 23>)
Aut   = (C2 x S3 x S3) : C2 (small group id <144, 154>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, Y3^2, R^2, (R * Y3)^2, R * Y1 * R * Y2, Y3 * Y1 * Y2 * Y3 * Y2 * Y1, (Y1 * Y2)^6, (Y3 * Y1 * Y3 * Y2)^3 ]
Map:: polytopal
	R = (1, 73, 4, 76)(2, 74, 6, 78)(3, 75, 8, 80)(5, 77, 12, 84)(7, 79, 16, 88)(9, 81, 18, 90)(10, 82, 19, 91)(11, 83, 21, 93)(13, 85, 23, 95)(14, 86, 24, 96)(15, 87, 26, 98)(17, 89, 28, 100)(20, 92, 33, 105)(22, 94, 35, 107)(25, 97, 40, 112)(27, 99, 42, 114)(29, 101, 44, 116)(30, 102, 45, 117)(31, 103, 46, 118)(32, 104, 48, 120)(34, 106, 50, 122)(36, 108, 52, 124)(37, 109, 53, 125)(38, 110, 54, 126)(39, 111, 55, 127)(41, 113, 57, 129)(43, 115, 59, 131)(47, 119, 62, 134)(49, 121, 64, 136)(51, 123, 66, 138)(56, 128, 69, 141)(58, 130, 68, 140)(60, 132, 70, 142)(61, 133, 65, 137)(63, 135, 71, 143)(67, 139, 72, 144)(145, 146)(147, 151)(148, 153)(149, 155)(150, 157)(152, 161)(154, 160)(156, 166)(158, 165)(159, 169)(162, 173)(163, 175)(164, 176)(167, 180)(168, 182)(170, 185)(171, 184)(172, 181)(174, 179)(177, 193)(178, 192)(183, 191)(186, 202)(187, 201)(188, 204)(189, 203)(190, 205)(194, 209)(195, 208)(196, 211)(197, 210)(198, 212)(199, 207)(200, 206)(213, 216)(214, 215)(217, 219)(218, 221)(220, 226)(222, 230)(223, 231)(224, 229)(225, 228)(227, 236)(232, 243)(233, 242)(234, 246)(235, 245)(237, 250)(238, 249)(239, 253)(240, 252)(241, 255)(244, 259)(247, 258)(248, 263)(251, 267)(254, 266)(256, 272)(257, 271)(260, 277)(261, 276)(262, 270)(264, 279)(265, 278)(268, 284)(269, 283)(273, 286)(274, 285)(275, 282)(280, 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 ), ( 24^4 ) }
Outer automorphisms :: reflexible
Dual of E13.1229
Graph:: simple bipartite
	v = 108 e = 144 f = 12
	degree seq :: [ 2^72, 4^36 ]

E13.1221 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 2, 6})
Quotient :: edge^2
Aut^+ = C2 x S3 x S3 (small group id <72, 46>)
Aut   = D24 x S3 (small group id <144, 144>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, R * Y2 * R * Y1, (R * Y3)^2, Y2 * Y1 * Y2 * Y3^2 * Y1, Y3 * Y1 * Y2 * Y3^-1 * Y2 * Y1, (Y3^-1 * Y1 * Y3^-1)^2, Y3^6, (Y3^2 * Y2)^2, (Y1 * Y3^-1 * Y2)^2, Y2 * Y3^-3 * Y1 * Y2 * Y3^-1 * Y1, Y3^-1 * Y1 * Y3^-1 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 ]
Map:: polytopal
	R = (1, 73, 4, 76, 14, 86, 34, 106, 17, 89, 5, 77)(2, 74, 7, 79, 23, 95, 44, 116, 26, 98, 8, 80)(3, 75, 10, 82, 18, 90, 37, 109, 29, 101, 11, 83)(6, 78, 19, 91, 9, 81, 27, 99, 39, 111, 20, 92)(12, 84, 30, 102, 15, 87, 35, 107, 47, 119, 31, 103)(13, 85, 32, 104, 16, 88, 36, 108, 38, 110, 33, 105)(21, 93, 40, 112, 24, 96, 45, 117, 54, 126, 41, 113)(22, 94, 42, 114, 25, 97, 46, 118, 28, 100, 43, 115)(48, 120, 61, 133, 50, 122, 65, 137, 53, 125, 62, 134)(49, 121, 63, 135, 51, 123, 66, 138, 52, 124, 64, 136)(55, 127, 67, 139, 57, 129, 71, 143, 60, 132, 68, 140)(56, 128, 69, 141, 58, 130, 72, 144, 59, 131, 70, 142)(145, 146)(147, 153)(148, 156)(149, 159)(150, 162)(151, 165)(152, 168)(154, 169)(155, 172)(157, 171)(158, 170)(160, 163)(161, 167)(164, 182)(166, 181)(173, 183)(174, 192)(175, 194)(176, 195)(177, 196)(178, 191)(179, 197)(180, 193)(184, 199)(185, 201)(186, 202)(187, 203)(188, 198)(189, 204)(190, 200)(205, 212)(206, 211)(207, 213)(208, 216)(209, 215)(210, 214)(217, 219)(218, 222)(220, 229)(221, 232)(223, 238)(224, 241)(225, 242)(226, 237)(227, 240)(228, 235)(230, 245)(231, 236)(233, 234)(239, 255)(243, 263)(244, 260)(246, 265)(247, 267)(248, 264)(249, 266)(250, 254)(251, 268)(252, 269)(253, 270)(256, 272)(257, 274)(258, 271)(259, 273)(261, 275)(262, 276)(277, 286)(278, 285)(279, 284)(280, 283)(281, 288)(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) :: { ( 8, 8 ), ( 8^12 ) }
Outer automorphisms :: reflexible
Dual of E13.1224
Graph:: simple bipartite
	v = 84 e = 144 f = 36
	degree seq :: [ 2^72, 12^12 ]

E13.1222 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 2, 6})
Quotient :: edge^2
Aut^+ = (C6 x S3) : C2 (small group id <72, 23>)
Aut   = D24 x S3 (small group id <144, 144>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y2 * Y1 * Y3^2, R * Y2 * R * Y1, (R * Y3)^2, Y1 * Y2 * Y3^4, Y3 * Y2 * Y3^-1 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 ]
Map::
	R = (1, 73, 4, 76, 6, 78, 15, 87, 9, 81, 5, 77)(2, 74, 7, 79, 3, 75, 10, 82, 14, 86, 8, 80)(11, 83, 19, 91, 12, 84, 21, 93, 13, 85, 20, 92)(16, 88, 22, 94, 17, 89, 24, 96, 18, 90, 23, 95)(25, 97, 31, 103, 26, 98, 33, 105, 27, 99, 32, 104)(28, 100, 34, 106, 29, 101, 36, 108, 30, 102, 35, 107)(37, 109, 43, 115, 38, 110, 45, 117, 39, 111, 44, 116)(40, 112, 46, 118, 41, 113, 48, 120, 42, 114, 47, 119)(49, 121, 55, 127, 50, 122, 57, 129, 51, 123, 56, 128)(52, 124, 58, 130, 53, 125, 60, 132, 54, 126, 59, 131)(61, 133, 67, 139, 62, 134, 69, 141, 63, 135, 68, 140)(64, 136, 70, 142, 65, 137, 72, 144, 66, 138, 71, 143)(145, 146)(147, 153)(148, 155)(149, 156)(150, 158)(151, 160)(152, 161)(154, 162)(157, 159)(163, 169)(164, 170)(165, 171)(166, 172)(167, 173)(168, 174)(175, 181)(176, 182)(177, 183)(178, 184)(179, 185)(180, 186)(187, 193)(188, 194)(189, 195)(190, 196)(191, 197)(192, 198)(199, 205)(200, 206)(201, 207)(202, 208)(203, 209)(204, 210)(211, 214)(212, 216)(213, 215)(217, 219)(218, 222)(220, 228)(221, 229)(223, 233)(224, 234)(225, 230)(226, 232)(227, 231)(235, 242)(236, 243)(237, 241)(238, 245)(239, 246)(240, 244)(247, 254)(248, 255)(249, 253)(250, 257)(251, 258)(252, 256)(259, 266)(260, 267)(261, 265)(262, 269)(263, 270)(264, 268)(271, 278)(272, 279)(273, 277)(274, 281)(275, 282)(276, 280)(283, 288)(284, 287)(285, 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, 8 ), ( 8^12 ) }
Outer automorphisms :: reflexible
Dual of E13.1225
Graph:: simple bipartite
	v = 84 e = 144 f = 36
	degree seq :: [ 2^72, 12^12 ]

E13.1223 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 2, 6})
Quotient :: edge^2
Aut^+ = (C6 x S3) : C2 (small group id <72, 23>)
Aut   = (C2 x S3 x S3) : C2 (small group id <144, 154>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, R * Y2 * R * Y1, (R * Y3)^2, Y2 * Y1 * Y2 * Y3^2 * Y1, Y3 * Y1 * Y2 * Y3^-1 * Y2 * Y1, (Y3^-1 * Y1 * Y3^-1)^2, Y3^6, (Y3^2 * Y2)^2, (Y1 * Y3^-1 * Y2)^2, Y2 * Y3^-3 * Y1 * Y2 * Y3^-1 * Y1, Y3^-1 * Y1 * Y3^-1 * Y1 * Y3 * Y1 * Y3^-1 * Y2 * Y3 * Y1 * Y3^-1 * Y1 ]
Map:: polytopal
	R = (1, 73, 4, 76, 14, 86, 34, 106, 17, 89, 5, 77)(2, 74, 7, 79, 23, 95, 44, 116, 26, 98, 8, 80)(3, 75, 10, 82, 18, 90, 37, 109, 29, 101, 11, 83)(6, 78, 19, 91, 9, 81, 27, 99, 39, 111, 20, 92)(12, 84, 30, 102, 15, 87, 35, 107, 47, 119, 31, 103)(13, 85, 32, 104, 16, 88, 36, 108, 38, 110, 33, 105)(21, 93, 40, 112, 24, 96, 45, 117, 54, 126, 41, 113)(22, 94, 42, 114, 25, 97, 46, 118, 28, 100, 43, 115)(48, 120, 61, 133, 50, 122, 65, 137, 53, 125, 62, 134)(49, 121, 63, 135, 51, 123, 66, 138, 52, 124, 64, 136)(55, 127, 67, 139, 57, 129, 71, 143, 60, 132, 68, 140)(56, 128, 69, 141, 58, 130, 72, 144, 59, 131, 70, 142)(145, 146)(147, 153)(148, 156)(149, 159)(150, 162)(151, 165)(152, 168)(154, 169)(155, 172)(157, 171)(158, 170)(160, 163)(161, 167)(164, 182)(166, 181)(173, 183)(174, 192)(175, 194)(176, 195)(177, 196)(178, 191)(179, 197)(180, 193)(184, 199)(185, 201)(186, 202)(187, 203)(188, 198)(189, 204)(190, 200)(205, 216)(206, 214)(207, 215)(208, 212)(209, 213)(210, 211)(217, 219)(218, 222)(220, 229)(221, 232)(223, 238)(224, 241)(225, 242)(226, 237)(227, 240)(228, 235)(230, 245)(231, 236)(233, 234)(239, 255)(243, 263)(244, 260)(246, 265)(247, 267)(248, 264)(249, 266)(250, 254)(251, 268)(252, 269)(253, 270)(256, 272)(257, 274)(258, 271)(259, 273)(261, 275)(262, 276)(277, 283)(278, 287)(279, 288)(280, 286)(281, 284)(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, 8 ), ( 8^12 ) }
Outer automorphisms :: reflexible
Dual of E13.1226
Graph:: simple bipartite
	v = 84 e = 144 f = 36
	degree seq :: [ 2^72, 12^12 ]

E13.1224 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 2, 6})
Quotient :: loop^2
Aut^+ = C2 x S3 x S3 (small group id <72, 46>)
Aut   = D24 x S3 (small group id <144, 144>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, Y3^2, R^2, (R * Y3)^2, R * Y1 * R * Y2, Y2 * Y3 * Y2 * Y1 * Y3 * Y1, Y3 * Y2 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y2, (Y1 * Y2)^6 ]
Map::
	R = (1, 73, 145, 217, 4, 76, 148, 220)(2, 74, 146, 218, 6, 78, 150, 222)(3, 75, 147, 219, 8, 80, 152, 224)(5, 77, 149, 221, 12, 84, 156, 228)(7, 79, 151, 223, 16, 88, 160, 232)(9, 81, 153, 225, 18, 90, 162, 234)(10, 82, 154, 226, 19, 91, 163, 235)(11, 83, 155, 227, 21, 93, 165, 237)(13, 85, 157, 229, 23, 95, 167, 239)(14, 86, 158, 230, 24, 96, 168, 240)(15, 87, 159, 231, 26, 98, 170, 242)(17, 89, 161, 233, 28, 100, 172, 244)(20, 92, 164, 236, 33, 105, 177, 249)(22, 94, 166, 238, 35, 107, 179, 251)(25, 97, 169, 241, 40, 112, 184, 256)(27, 99, 171, 243, 42, 114, 186, 258)(29, 101, 173, 245, 44, 116, 188, 260)(30, 102, 174, 246, 45, 117, 189, 261)(31, 103, 175, 247, 46, 118, 190, 262)(32, 104, 176, 248, 48, 120, 192, 264)(34, 106, 178, 250, 50, 122, 194, 266)(36, 108, 180, 252, 52, 124, 196, 268)(37, 109, 181, 253, 53, 125, 197, 269)(38, 110, 182, 254, 54, 126, 198, 270)(39, 111, 183, 255, 55, 127, 199, 271)(41, 113, 185, 257, 57, 129, 201, 273)(43, 115, 187, 259, 59, 131, 203, 275)(47, 119, 191, 263, 60, 132, 204, 276)(49, 121, 193, 265, 62, 134, 206, 278)(51, 123, 195, 267, 64, 136, 208, 280)(56, 128, 200, 272, 65, 137, 209, 281)(58, 130, 202, 274, 67, 139, 211, 283)(61, 133, 205, 277, 68, 140, 212, 284)(63, 135, 207, 279, 70, 142, 214, 286)(66, 138, 210, 282, 71, 143, 215, 287)(69, 141, 213, 285, 72, 144, 216, 288)
	L = (1, 74)(2, 73)(3, 79)(4, 81)(5, 83)(6, 85)(7, 75)(8, 89)(9, 76)(10, 88)(11, 77)(12, 94)(13, 78)(14, 93)(15, 97)(16, 82)(17, 80)(18, 101)(19, 103)(20, 104)(21, 86)(22, 84)(23, 108)(24, 110)(25, 87)(26, 113)(27, 112)(28, 109)(29, 90)(30, 107)(31, 91)(32, 92)(33, 121)(34, 120)(35, 102)(36, 95)(37, 100)(38, 96)(39, 119)(40, 99)(41, 98)(42, 130)(43, 129)(44, 124)(45, 126)(46, 125)(47, 111)(48, 106)(49, 105)(50, 135)(51, 134)(52, 116)(53, 118)(54, 117)(55, 133)(56, 132)(57, 115)(58, 114)(59, 139)(60, 128)(61, 127)(62, 123)(63, 122)(64, 142)(65, 141)(66, 140)(67, 131)(68, 138)(69, 137)(70, 136)(71, 144)(72, 143)(145, 219)(146, 221)(147, 217)(148, 226)(149, 218)(150, 230)(151, 231)(152, 229)(153, 228)(154, 220)(155, 236)(156, 225)(157, 224)(158, 222)(159, 223)(160, 243)(161, 242)(162, 246)(163, 245)(164, 227)(165, 250)(166, 249)(167, 253)(168, 252)(169, 255)(170, 233)(171, 232)(172, 259)(173, 235)(174, 234)(175, 258)(176, 263)(177, 238)(178, 237)(179, 267)(180, 240)(181, 239)(182, 266)(183, 241)(184, 272)(185, 271)(186, 247)(187, 244)(188, 269)(189, 268)(190, 275)(191, 248)(192, 277)(193, 276)(194, 254)(195, 251)(196, 261)(197, 260)(198, 280)(199, 257)(200, 256)(201, 282)(202, 281)(203, 262)(204, 265)(205, 264)(206, 285)(207, 284)(208, 270)(209, 274)(210, 273)(211, 287)(212, 279)(213, 278)(214, 288)(215, 283)(216, 286)
	local type(s) :: { ( 2, 12, 2, 12, 2, 12, 2, 12 ) }
Outer automorphisms :: reflexible
Dual of E13.1221
Transitivity :: VT+
Graph:: bipartite
	v = 36 e = 144 f = 84
	degree seq :: [ 8^36 ]

E13.1225 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 2, 6})
Quotient :: loop^2
Aut^+ = (C6 x S3) : C2 (small group id <72, 23>)
Aut   = D24 x S3 (small group id <144, 144>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, Y3^2, R^2, (R * Y3)^2, R * Y1 * R * Y2, Y3 * Y2 * Y1 * Y3 * Y1 * Y2, (Y2 * Y1)^3, (Y3 * Y2)^12 ]
Map::
	R = (1, 73, 145, 217, 4, 76, 148, 220)(2, 74, 146, 218, 6, 78, 150, 222)(3, 75, 147, 219, 8, 80, 152, 224)(5, 77, 149, 221, 12, 84, 156, 228)(7, 79, 151, 223, 15, 87, 159, 231)(9, 81, 153, 225, 17, 89, 161, 233)(10, 82, 154, 226, 18, 90, 162, 234)(11, 83, 155, 227, 19, 91, 163, 235)(13, 85, 157, 229, 21, 93, 165, 237)(14, 86, 158, 230, 22, 94, 166, 238)(16, 88, 160, 232, 23, 95, 167, 239)(20, 92, 164, 236, 27, 99, 171, 243)(24, 96, 168, 240, 31, 103, 175, 247)(25, 97, 169, 241, 32, 104, 176, 248)(26, 98, 170, 242, 33, 105, 177, 249)(28, 100, 172, 244, 34, 106, 178, 250)(29, 101, 173, 245, 35, 107, 179, 251)(30, 102, 174, 246, 36, 108, 180, 252)(37, 109, 181, 253, 43, 115, 187, 259)(38, 110, 182, 254, 44, 116, 188, 260)(39, 111, 183, 255, 45, 117, 189, 261)(40, 112, 184, 256, 46, 118, 190, 262)(41, 113, 185, 257, 47, 119, 191, 263)(42, 114, 186, 258, 48, 120, 192, 264)(49, 121, 193, 265, 55, 127, 199, 271)(50, 122, 194, 266, 56, 128, 200, 272)(51, 123, 195, 267, 57, 129, 201, 273)(52, 124, 196, 268, 58, 130, 202, 274)(53, 125, 197, 269, 59, 131, 203, 275)(54, 126, 198, 270, 60, 132, 204, 276)(61, 133, 205, 277, 67, 139, 211, 283)(62, 134, 206, 278, 68, 140, 212, 284)(63, 135, 207, 279, 69, 141, 213, 285)(64, 136, 208, 280, 70, 142, 214, 286)(65, 137, 209, 281, 71, 143, 215, 287)(66, 138, 210, 282, 72, 144, 216, 288)
	L = (1, 74)(2, 73)(3, 79)(4, 81)(5, 83)(6, 85)(7, 75)(8, 88)(9, 76)(10, 87)(11, 77)(12, 92)(13, 78)(14, 91)(15, 82)(16, 80)(17, 96)(18, 98)(19, 86)(20, 84)(21, 100)(22, 102)(23, 101)(24, 89)(25, 99)(26, 90)(27, 97)(28, 93)(29, 95)(30, 94)(31, 109)(32, 111)(33, 110)(34, 112)(35, 114)(36, 113)(37, 103)(38, 105)(39, 104)(40, 106)(41, 108)(42, 107)(43, 121)(44, 123)(45, 122)(46, 124)(47, 126)(48, 125)(49, 115)(50, 117)(51, 116)(52, 118)(53, 120)(54, 119)(55, 133)(56, 135)(57, 134)(58, 136)(59, 138)(60, 137)(61, 127)(62, 129)(63, 128)(64, 130)(65, 132)(66, 131)(67, 142)(68, 144)(69, 143)(70, 139)(71, 141)(72, 140)(145, 219)(146, 221)(147, 217)(148, 226)(149, 218)(150, 230)(151, 227)(152, 229)(153, 228)(154, 220)(155, 223)(156, 225)(157, 224)(158, 222)(159, 236)(160, 235)(161, 241)(162, 240)(163, 232)(164, 231)(165, 245)(166, 244)(167, 246)(168, 234)(169, 233)(170, 243)(171, 242)(172, 238)(173, 237)(174, 239)(175, 254)(176, 253)(177, 255)(178, 257)(179, 256)(180, 258)(181, 248)(182, 247)(183, 249)(184, 251)(185, 250)(186, 252)(187, 266)(188, 265)(189, 267)(190, 269)(191, 268)(192, 270)(193, 260)(194, 259)(195, 261)(196, 263)(197, 262)(198, 264)(199, 278)(200, 277)(201, 279)(202, 281)(203, 280)(204, 282)(205, 272)(206, 271)(207, 273)(208, 275)(209, 274)(210, 276)(211, 287)(212, 286)(213, 288)(214, 284)(215, 283)(216, 285)
	local type(s) :: { ( 2, 12, 2, 12, 2, 12, 2, 12 ) }
Outer automorphisms :: reflexible
Dual of E13.1222
Transitivity :: VT+
Graph:: bipartite
	v = 36 e = 144 f = 84
	degree seq :: [ 8^36 ]

E13.1226 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 2, 6})
Quotient :: loop^2
Aut^+ = (C6 x S3) : C2 (small group id <72, 23>)
Aut   = (C2 x S3 x S3) : C2 (small group id <144, 154>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, Y3^2, R^2, (R * Y3)^2, R * Y1 * R * Y2, Y3 * Y1 * Y2 * Y3 * Y2 * Y1, (Y1 * Y2)^6, (Y3 * Y1 * Y3 * Y2)^3 ]
Map::
	R = (1, 73, 145, 217, 4, 76, 148, 220)(2, 74, 146, 218, 6, 78, 150, 222)(3, 75, 147, 219, 8, 80, 152, 224)(5, 77, 149, 221, 12, 84, 156, 228)(7, 79, 151, 223, 16, 88, 160, 232)(9, 81, 153, 225, 18, 90, 162, 234)(10, 82, 154, 226, 19, 91, 163, 235)(11, 83, 155, 227, 21, 93, 165, 237)(13, 85, 157, 229, 23, 95, 167, 239)(14, 86, 158, 230, 24, 96, 168, 240)(15, 87, 159, 231, 26, 98, 170, 242)(17, 89, 161, 233, 28, 100, 172, 244)(20, 92, 164, 236, 33, 105, 177, 249)(22, 94, 166, 238, 35, 107, 179, 251)(25, 97, 169, 241, 40, 112, 184, 256)(27, 99, 171, 243, 42, 114, 186, 258)(29, 101, 173, 245, 44, 116, 188, 260)(30, 102, 174, 246, 45, 117, 189, 261)(31, 103, 175, 247, 46, 118, 190, 262)(32, 104, 176, 248, 48, 120, 192, 264)(34, 106, 178, 250, 50, 122, 194, 266)(36, 108, 180, 252, 52, 124, 196, 268)(37, 109, 181, 253, 53, 125, 197, 269)(38, 110, 182, 254, 54, 126, 198, 270)(39, 111, 183, 255, 55, 127, 199, 271)(41, 113, 185, 257, 57, 129, 201, 273)(43, 115, 187, 259, 59, 131, 203, 275)(47, 119, 191, 263, 62, 134, 206, 278)(49, 121, 193, 265, 64, 136, 208, 280)(51, 123, 195, 267, 66, 138, 210, 282)(56, 128, 200, 272, 69, 141, 213, 285)(58, 130, 202, 274, 68, 140, 212, 284)(60, 132, 204, 276, 70, 142, 214, 286)(61, 133, 205, 277, 65, 137, 209, 281)(63, 135, 207, 279, 71, 143, 215, 287)(67, 139, 211, 283, 72, 144, 216, 288)
	L = (1, 74)(2, 73)(3, 79)(4, 81)(5, 83)(6, 85)(7, 75)(8, 89)(9, 76)(10, 88)(11, 77)(12, 94)(13, 78)(14, 93)(15, 97)(16, 82)(17, 80)(18, 101)(19, 103)(20, 104)(21, 86)(22, 84)(23, 108)(24, 110)(25, 87)(26, 113)(27, 112)(28, 109)(29, 90)(30, 107)(31, 91)(32, 92)(33, 121)(34, 120)(35, 102)(36, 95)(37, 100)(38, 96)(39, 119)(40, 99)(41, 98)(42, 130)(43, 129)(44, 132)(45, 131)(46, 133)(47, 111)(48, 106)(49, 105)(50, 137)(51, 136)(52, 139)(53, 138)(54, 140)(55, 135)(56, 134)(57, 115)(58, 114)(59, 117)(60, 116)(61, 118)(62, 128)(63, 127)(64, 123)(65, 122)(66, 125)(67, 124)(68, 126)(69, 144)(70, 143)(71, 142)(72, 141)(145, 219)(146, 221)(147, 217)(148, 226)(149, 218)(150, 230)(151, 231)(152, 229)(153, 228)(154, 220)(155, 236)(156, 225)(157, 224)(158, 222)(159, 223)(160, 243)(161, 242)(162, 246)(163, 245)(164, 227)(165, 250)(166, 249)(167, 253)(168, 252)(169, 255)(170, 233)(171, 232)(172, 259)(173, 235)(174, 234)(175, 258)(176, 263)(177, 238)(178, 237)(179, 267)(180, 240)(181, 239)(182, 266)(183, 241)(184, 272)(185, 271)(186, 247)(187, 244)(188, 277)(189, 276)(190, 270)(191, 248)(192, 279)(193, 278)(194, 254)(195, 251)(196, 284)(197, 283)(198, 262)(199, 257)(200, 256)(201, 286)(202, 285)(203, 282)(204, 261)(205, 260)(206, 265)(207, 264)(208, 288)(209, 287)(210, 275)(211, 269)(212, 268)(213, 274)(214, 273)(215, 281)(216, 280)
	local type(s) :: { ( 2, 12, 2, 12, 2, 12, 2, 12 ) }
Outer automorphisms :: reflexible
Dual of E13.1223
Transitivity :: VT+
Graph:: bipartite
	v = 36 e = 144 f = 84
	degree seq :: [ 8^36 ]

E13.1227 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 2, 6})
Quotient :: loop^2
Aut^+ = C2 x S3 x S3 (small group id <72, 46>)
Aut   = D24 x S3 (small group id <144, 144>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, R * Y2 * R * Y1, (R * Y3)^2, Y2 * Y1 * Y2 * Y3^2 * Y1, Y3 * Y1 * Y2 * Y3^-1 * Y2 * Y1, (Y3^-1 * Y1 * Y3^-1)^2, Y3^6, (Y3^2 * Y2)^2, (Y1 * Y3^-1 * Y2)^2, Y2 * Y3^-3 * Y1 * Y2 * Y3^-1 * Y1, Y3^-1 * Y1 * Y3^-1 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 ]
Map::
	R = (1, 73, 145, 217, 4, 76, 148, 220, 14, 86, 158, 230, 34, 106, 178, 250, 17, 89, 161, 233, 5, 77, 149, 221)(2, 74, 146, 218, 7, 79, 151, 223, 23, 95, 167, 239, 44, 116, 188, 260, 26, 98, 170, 242, 8, 80, 152, 224)(3, 75, 147, 219, 10, 82, 154, 226, 18, 90, 162, 234, 37, 109, 181, 253, 29, 101, 173, 245, 11, 83, 155, 227)(6, 78, 150, 222, 19, 91, 163, 235, 9, 81, 153, 225, 27, 99, 171, 243, 39, 111, 183, 255, 20, 92, 164, 236)(12, 84, 156, 228, 30, 102, 174, 246, 15, 87, 159, 231, 35, 107, 179, 251, 47, 119, 191, 263, 31, 103, 175, 247)(13, 85, 157, 229, 32, 104, 176, 248, 16, 88, 160, 232, 36, 108, 180, 252, 38, 110, 182, 254, 33, 105, 177, 249)(21, 93, 165, 237, 40, 112, 184, 256, 24, 96, 168, 240, 45, 117, 189, 261, 54, 126, 198, 270, 41, 113, 185, 257)(22, 94, 166, 238, 42, 114, 186, 258, 25, 97, 169, 241, 46, 118, 190, 262, 28, 100, 172, 244, 43, 115, 187, 259)(48, 120, 192, 264, 61, 133, 205, 277, 50, 122, 194, 266, 65, 137, 209, 281, 53, 125, 197, 269, 62, 134, 206, 278)(49, 121, 193, 265, 63, 135, 207, 279, 51, 123, 195, 267, 66, 138, 210, 282, 52, 124, 196, 268, 64, 136, 208, 280)(55, 127, 199, 271, 67, 139, 211, 283, 57, 129, 201, 273, 71, 143, 215, 287, 60, 132, 204, 276, 68, 140, 212, 284)(56, 128, 200, 272, 69, 141, 213, 285, 58, 130, 202, 274, 72, 144, 216, 288, 59, 131, 203, 275, 70, 142, 214, 286)
	L = (1, 74)(2, 73)(3, 81)(4, 84)(5, 87)(6, 90)(7, 93)(8, 96)(9, 75)(10, 97)(11, 100)(12, 76)(13, 99)(14, 98)(15, 77)(16, 91)(17, 95)(18, 78)(19, 88)(20, 110)(21, 79)(22, 109)(23, 89)(24, 80)(25, 82)(26, 86)(27, 85)(28, 83)(29, 111)(30, 120)(31, 122)(32, 123)(33, 124)(34, 119)(35, 125)(36, 121)(37, 94)(38, 92)(39, 101)(40, 127)(41, 129)(42, 130)(43, 131)(44, 126)(45, 132)(46, 128)(47, 106)(48, 102)(49, 108)(50, 103)(51, 104)(52, 105)(53, 107)(54, 116)(55, 112)(56, 118)(57, 113)(58, 114)(59, 115)(60, 117)(61, 140)(62, 139)(63, 141)(64, 144)(65, 143)(66, 142)(67, 134)(68, 133)(69, 135)(70, 138)(71, 137)(72, 136)(145, 219)(146, 222)(147, 217)(148, 229)(149, 232)(150, 218)(151, 238)(152, 241)(153, 242)(154, 237)(155, 240)(156, 235)(157, 220)(158, 245)(159, 236)(160, 221)(161, 234)(162, 233)(163, 228)(164, 231)(165, 226)(166, 223)(167, 255)(168, 227)(169, 224)(170, 225)(171, 263)(172, 260)(173, 230)(174, 265)(175, 267)(176, 264)(177, 266)(178, 254)(179, 268)(180, 269)(181, 270)(182, 250)(183, 239)(184, 272)(185, 274)(186, 271)(187, 273)(188, 244)(189, 275)(190, 276)(191, 243)(192, 248)(193, 246)(194, 249)(195, 247)(196, 251)(197, 252)(198, 253)(199, 258)(200, 256)(201, 259)(202, 257)(203, 261)(204, 262)(205, 286)(206, 285)(207, 284)(208, 283)(209, 288)(210, 287)(211, 280)(212, 279)(213, 278)(214, 277)(215, 282)(216, 281)
	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 E13.1218
Transitivity :: VT+
Graph:: bipartite
	v = 12 e = 144 f = 108
	degree seq :: [ 24^12 ]

E13.1228 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 2, 6})
Quotient :: loop^2
Aut^+ = (C6 x S3) : C2 (small group id <72, 23>)
Aut   = D24 x S3 (small group id <144, 144>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y2 * Y1 * Y3^2, R * Y2 * R * Y1, (R * Y3)^2, Y1 * Y2 * Y3^4, Y3 * Y2 * Y3^-1 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 ]
Map::
	R = (1, 73, 145, 217, 4, 76, 148, 220, 6, 78, 150, 222, 15, 87, 159, 231, 9, 81, 153, 225, 5, 77, 149, 221)(2, 74, 146, 218, 7, 79, 151, 223, 3, 75, 147, 219, 10, 82, 154, 226, 14, 86, 158, 230, 8, 80, 152, 224)(11, 83, 155, 227, 19, 91, 163, 235, 12, 84, 156, 228, 21, 93, 165, 237, 13, 85, 157, 229, 20, 92, 164, 236)(16, 88, 160, 232, 22, 94, 166, 238, 17, 89, 161, 233, 24, 96, 168, 240, 18, 90, 162, 234, 23, 95, 167, 239)(25, 97, 169, 241, 31, 103, 175, 247, 26, 98, 170, 242, 33, 105, 177, 249, 27, 99, 171, 243, 32, 104, 176, 248)(28, 100, 172, 244, 34, 106, 178, 250, 29, 101, 173, 245, 36, 108, 180, 252, 30, 102, 174, 246, 35, 107, 179, 251)(37, 109, 181, 253, 43, 115, 187, 259, 38, 110, 182, 254, 45, 117, 189, 261, 39, 111, 183, 255, 44, 116, 188, 260)(40, 112, 184, 256, 46, 118, 190, 262, 41, 113, 185, 257, 48, 120, 192, 264, 42, 114, 186, 258, 47, 119, 191, 263)(49, 121, 193, 265, 55, 127, 199, 271, 50, 122, 194, 266, 57, 129, 201, 273, 51, 123, 195, 267, 56, 128, 200, 272)(52, 124, 196, 268, 58, 130, 202, 274, 53, 125, 197, 269, 60, 132, 204, 276, 54, 126, 198, 270, 59, 131, 203, 275)(61, 133, 205, 277, 67, 139, 211, 283, 62, 134, 206, 278, 69, 141, 213, 285, 63, 135, 207, 279, 68, 140, 212, 284)(64, 136, 208, 280, 70, 142, 214, 286, 65, 137, 209, 281, 72, 144, 216, 288, 66, 138, 210, 282, 71, 143, 215, 287)
	L = (1, 74)(2, 73)(3, 81)(4, 83)(5, 84)(6, 86)(7, 88)(8, 89)(9, 75)(10, 90)(11, 76)(12, 77)(13, 87)(14, 78)(15, 85)(16, 79)(17, 80)(18, 82)(19, 97)(20, 98)(21, 99)(22, 100)(23, 101)(24, 102)(25, 91)(26, 92)(27, 93)(28, 94)(29, 95)(30, 96)(31, 109)(32, 110)(33, 111)(34, 112)(35, 113)(36, 114)(37, 103)(38, 104)(39, 105)(40, 106)(41, 107)(42, 108)(43, 121)(44, 122)(45, 123)(46, 124)(47, 125)(48, 126)(49, 115)(50, 116)(51, 117)(52, 118)(53, 119)(54, 120)(55, 133)(56, 134)(57, 135)(58, 136)(59, 137)(60, 138)(61, 127)(62, 128)(63, 129)(64, 130)(65, 131)(66, 132)(67, 142)(68, 144)(69, 143)(70, 139)(71, 141)(72, 140)(145, 219)(146, 222)(147, 217)(148, 228)(149, 229)(150, 218)(151, 233)(152, 234)(153, 230)(154, 232)(155, 231)(156, 220)(157, 221)(158, 225)(159, 227)(160, 226)(161, 223)(162, 224)(163, 242)(164, 243)(165, 241)(166, 245)(167, 246)(168, 244)(169, 237)(170, 235)(171, 236)(172, 240)(173, 238)(174, 239)(175, 254)(176, 255)(177, 253)(178, 257)(179, 258)(180, 256)(181, 249)(182, 247)(183, 248)(184, 252)(185, 250)(186, 251)(187, 266)(188, 267)(189, 265)(190, 269)(191, 270)(192, 268)(193, 261)(194, 259)(195, 260)(196, 264)(197, 262)(198, 263)(199, 278)(200, 279)(201, 277)(202, 281)(203, 282)(204, 280)(205, 273)(206, 271)(207, 272)(208, 276)(209, 274)(210, 275)(211, 288)(212, 287)(213, 286)(214, 285)(215, 284)(216, 283)
	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 E13.1219
Transitivity :: VT+
Graph:: bipartite
	v = 12 e = 144 f = 108
	degree seq :: [ 24^12 ]

E13.1229 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 2, 6})
Quotient :: loop^2
Aut^+ = (C6 x S3) : C2 (small group id <72, 23>)
Aut   = (C2 x S3 x S3) : C2 (small group id <144, 154>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, R * Y2 * R * Y1, (R * Y3)^2, Y2 * Y1 * Y2 * Y3^2 * Y1, Y3 * Y1 * Y2 * Y3^-1 * Y2 * Y1, (Y3^-1 * Y1 * Y3^-1)^2, Y3^6, (Y3^2 * Y2)^2, (Y1 * Y3^-1 * Y2)^2, Y2 * Y3^-3 * Y1 * Y2 * Y3^-1 * Y1, Y3^-1 * Y1 * Y3^-1 * Y1 * Y3 * Y1 * Y3^-1 * Y2 * Y3 * Y1 * Y3^-1 * Y1 ]
Map::
	R = (1, 73, 145, 217, 4, 76, 148, 220, 14, 86, 158, 230, 34, 106, 178, 250, 17, 89, 161, 233, 5, 77, 149, 221)(2, 74, 146, 218, 7, 79, 151, 223, 23, 95, 167, 239, 44, 116, 188, 260, 26, 98, 170, 242, 8, 80, 152, 224)(3, 75, 147, 219, 10, 82, 154, 226, 18, 90, 162, 234, 37, 109, 181, 253, 29, 101, 173, 245, 11, 83, 155, 227)(6, 78, 150, 222, 19, 91, 163, 235, 9, 81, 153, 225, 27, 99, 171, 243, 39, 111, 183, 255, 20, 92, 164, 236)(12, 84, 156, 228, 30, 102, 174, 246, 15, 87, 159, 231, 35, 107, 179, 251, 47, 119, 191, 263, 31, 103, 175, 247)(13, 85, 157, 229, 32, 104, 176, 248, 16, 88, 160, 232, 36, 108, 180, 252, 38, 110, 182, 254, 33, 105, 177, 249)(21, 93, 165, 237, 40, 112, 184, 256, 24, 96, 168, 240, 45, 117, 189, 261, 54, 126, 198, 270, 41, 113, 185, 257)(22, 94, 166, 238, 42, 114, 186, 258, 25, 97, 169, 241, 46, 118, 190, 262, 28, 100, 172, 244, 43, 115, 187, 259)(48, 120, 192, 264, 61, 133, 205, 277, 50, 122, 194, 266, 65, 137, 209, 281, 53, 125, 197, 269, 62, 134, 206, 278)(49, 121, 193, 265, 63, 135, 207, 279, 51, 123, 195, 267, 66, 138, 210, 282, 52, 124, 196, 268, 64, 136, 208, 280)(55, 127, 199, 271, 67, 139, 211, 283, 57, 129, 201, 273, 71, 143, 215, 287, 60, 132, 204, 276, 68, 140, 212, 284)(56, 128, 200, 272, 69, 141, 213, 285, 58, 130, 202, 274, 72, 144, 216, 288, 59, 131, 203, 275, 70, 142, 214, 286)
	L = (1, 74)(2, 73)(3, 81)(4, 84)(5, 87)(6, 90)(7, 93)(8, 96)(9, 75)(10, 97)(11, 100)(12, 76)(13, 99)(14, 98)(15, 77)(16, 91)(17, 95)(18, 78)(19, 88)(20, 110)(21, 79)(22, 109)(23, 89)(24, 80)(25, 82)(26, 86)(27, 85)(28, 83)(29, 111)(30, 120)(31, 122)(32, 123)(33, 124)(34, 119)(35, 125)(36, 121)(37, 94)(38, 92)(39, 101)(40, 127)(41, 129)(42, 130)(43, 131)(44, 126)(45, 132)(46, 128)(47, 106)(48, 102)(49, 108)(50, 103)(51, 104)(52, 105)(53, 107)(54, 116)(55, 112)(56, 118)(57, 113)(58, 114)(59, 115)(60, 117)(61, 144)(62, 142)(63, 143)(64, 140)(65, 141)(66, 139)(67, 138)(68, 136)(69, 137)(70, 134)(71, 135)(72, 133)(145, 219)(146, 222)(147, 217)(148, 229)(149, 232)(150, 218)(151, 238)(152, 241)(153, 242)(154, 237)(155, 240)(156, 235)(157, 220)(158, 245)(159, 236)(160, 221)(161, 234)(162, 233)(163, 228)(164, 231)(165, 226)(166, 223)(167, 255)(168, 227)(169, 224)(170, 225)(171, 263)(172, 260)(173, 230)(174, 265)(175, 267)(176, 264)(177, 266)(178, 254)(179, 268)(180, 269)(181, 270)(182, 250)(183, 239)(184, 272)(185, 274)(186, 271)(187, 273)(188, 244)(189, 275)(190, 276)(191, 243)(192, 248)(193, 246)(194, 249)(195, 247)(196, 251)(197, 252)(198, 253)(199, 258)(200, 256)(201, 259)(202, 257)(203, 261)(204, 262)(205, 283)(206, 287)(207, 288)(208, 286)(209, 284)(210, 285)(211, 277)(212, 281)(213, 282)(214, 280)(215, 278)(216, 279)
	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 E13.1220
Transitivity :: VT+
Graph:: bipartite
	v = 12 e = 144 f = 108
	degree seq :: [ 24^12 ]

E13.1230 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 6})
Quotient :: dipole
Aut^+ = (C6 x S3) : C2 (small group id <72, 23>)
Aut   = D24 x S3 (small group id <144, 144>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, (Y2 * Y3^-1)^2, (R * Y1)^2, (R * Y3)^2, Y1 * Y3 * Y2 * Y3^-1 * Y1 * Y2, (R * Y2 * Y3^-1)^2, (Y3^-1 * Y1 * Y3^-1)^2, Y3^-2 * Y1 * Y3 * Y1 * Y2 * Y3 * Y1 * Y3^-1, (Y3 * Y1)^6 ]
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, 24, 96)(11, 83, 26, 98)(13, 85, 22, 94)(15, 87, 20, 92)(17, 89, 34, 106)(18, 90, 36, 108)(23, 95, 37, 109)(25, 97, 43, 115)(27, 99, 33, 105)(28, 100, 50, 122)(29, 101, 51, 123)(30, 102, 52, 124)(31, 103, 54, 126)(32, 104, 44, 116)(35, 107, 56, 128)(38, 110, 59, 131)(39, 111, 60, 132)(40, 112, 49, 121)(41, 113, 47, 119)(42, 114, 46, 118)(45, 117, 63, 135)(48, 120, 65, 137)(53, 125, 62, 134)(55, 127, 61, 133)(57, 129, 69, 141)(58, 130, 68, 140)(64, 136, 66, 138)(67, 139, 70, 142)(71, 143, 72, 144)(145, 217, 147, 219)(146, 218, 150, 222)(148, 220, 155, 227)(149, 221, 154, 226)(151, 223, 162, 234)(152, 224, 161, 233)(153, 225, 164, 236)(156, 228, 171, 243)(157, 229, 160, 232)(158, 230, 170, 242)(159, 231, 169, 241)(163, 235, 181, 253)(165, 237, 180, 252)(166, 238, 179, 251)(167, 239, 184, 256)(168, 240, 188, 260)(172, 244, 192, 264)(173, 245, 193, 265)(174, 246, 177, 249)(175, 247, 189, 261)(176, 248, 191, 263)(178, 250, 190, 262)(182, 254, 202, 274)(183, 255, 196, 268)(185, 257, 201, 273)(186, 258, 198, 270)(187, 259, 205, 277)(194, 266, 207, 279)(195, 267, 209, 281)(197, 269, 200, 272)(199, 271, 208, 280)(203, 275, 213, 285)(204, 276, 212, 284)(206, 278, 211, 283)(210, 282, 215, 287)(214, 286, 216, 288)
	L = (1, 148)(2, 151)(3, 154)(4, 157)(5, 145)(6, 161)(7, 164)(8, 146)(9, 162)(10, 169)(11, 147)(12, 172)(13, 174)(14, 175)(15, 149)(16, 155)(17, 179)(18, 150)(19, 182)(20, 184)(21, 185)(22, 152)(23, 153)(24, 189)(25, 191)(26, 192)(27, 193)(28, 158)(29, 156)(30, 197)(31, 188)(32, 159)(33, 160)(34, 201)(35, 198)(36, 202)(37, 196)(38, 165)(39, 163)(40, 205)(41, 190)(42, 166)(43, 167)(44, 178)(45, 170)(46, 168)(47, 208)(48, 171)(49, 183)(50, 210)(51, 187)(52, 173)(53, 212)(54, 211)(55, 176)(56, 177)(57, 180)(58, 181)(59, 214)(60, 200)(61, 209)(62, 186)(63, 206)(64, 203)(65, 215)(66, 195)(67, 194)(68, 216)(69, 199)(70, 204)(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, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E13.1235
Graph:: simple bipartite
	v = 72 e = 144 f = 48
	degree seq :: [ 4^72 ]

E13.1231 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 6})
Quotient :: dipole
Aut^+ = (C6 x S3) : C2 (small group id <72, 23>)
Aut   = D24 x S3 (small group id <144, 144>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, (Y3 * Y2)^2, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, Y1 * Y2 * Y3^-2 * Y1 * Y2, Y1 * Y3^-1 * Y1 * Y2 * Y3^-1 * Y1 * Y3^-1, (Y3^-4 * Y1)^2, Y3^12 ]
Map:: 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, 24, 96)(11, 83, 26, 98)(13, 85, 22, 94)(15, 87, 20, 92)(17, 89, 29, 101)(18, 90, 28, 100)(23, 95, 31, 103)(25, 97, 37, 109)(27, 99, 33, 105)(30, 102, 42, 114)(32, 104, 38, 110)(34, 106, 45, 117)(35, 107, 39, 111)(36, 108, 41, 113)(40, 112, 51, 123)(43, 115, 48, 120)(44, 116, 47, 119)(46, 118, 54, 126)(49, 121, 50, 122)(52, 124, 61, 133)(53, 125, 57, 129)(55, 127, 66, 138)(56, 128, 62, 134)(58, 130, 68, 140)(59, 131, 63, 135)(60, 132, 65, 137)(64, 136, 72, 144)(67, 139, 70, 142)(69, 141, 71, 143)(145, 217, 147, 219)(146, 218, 150, 222)(148, 220, 155, 227)(149, 221, 154, 226)(151, 223, 162, 234)(152, 224, 161, 233)(153, 225, 164, 236)(156, 228, 171, 243)(157, 229, 160, 232)(158, 230, 170, 242)(159, 231, 169, 241)(163, 235, 175, 247)(165, 237, 172, 244)(166, 238, 178, 250)(167, 239, 179, 251)(168, 240, 182, 254)(173, 245, 185, 257)(174, 246, 177, 249)(176, 248, 184, 256)(180, 252, 190, 262)(181, 253, 191, 263)(183, 255, 194, 266)(186, 258, 197, 269)(187, 259, 189, 261)(188, 260, 196, 268)(192, 264, 202, 274)(193, 265, 203, 275)(195, 267, 206, 278)(198, 270, 209, 281)(199, 271, 201, 273)(200, 272, 208, 280)(204, 276, 213, 285)(205, 277, 214, 286)(207, 279, 215, 287)(210, 282, 216, 288)(211, 283, 212, 284)
	L = (1, 148)(2, 151)(3, 154)(4, 157)(5, 145)(6, 161)(7, 164)(8, 146)(9, 162)(10, 169)(11, 147)(12, 172)(13, 174)(14, 175)(15, 149)(16, 155)(17, 178)(18, 150)(19, 170)(20, 179)(21, 171)(22, 152)(23, 153)(24, 163)(25, 184)(26, 165)(27, 185)(28, 158)(29, 156)(30, 187)(31, 182)(32, 159)(33, 160)(34, 190)(35, 191)(36, 166)(37, 167)(38, 194)(39, 168)(40, 196)(41, 197)(42, 173)(43, 199)(44, 176)(45, 177)(46, 202)(47, 203)(48, 180)(49, 181)(50, 206)(51, 183)(52, 208)(53, 209)(54, 186)(55, 211)(56, 188)(57, 189)(58, 213)(59, 214)(60, 192)(61, 193)(62, 215)(63, 195)(64, 212)(65, 216)(66, 198)(67, 200)(68, 201)(69, 205)(70, 204)(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, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E13.1234
Graph:: simple bipartite
	v = 72 e = 144 f = 48
	degree seq :: [ 4^72 ]

E13.1232 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 6})
Quotient :: dipole
Aut^+ = (C6 x S3) : C2 (small group id <72, 23>)
Aut   = (C2 x S3 x S3) : C2 (small group id <144, 154>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^4, (R * Y1)^2, (Y3 * Y2)^2, (R * Y3)^2, Y3^-1 * Y1 * Y3^2 * Y1 * Y3^-1, (R * Y2 * Y3^-1)^2, Y3^-1 * Y2 * Y1 * Y3^-2 * Y1 * Y2 * Y3^-1, (Y2 * Y1 * Y3 * Y1)^2, Y2 * Y1 * Y3 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3, (Y3^-1 * Y1)^6 ]
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, 24, 96)(11, 83, 26, 98)(13, 85, 19, 91)(16, 88, 34, 106)(17, 89, 36, 108)(21, 93, 41, 113)(22, 94, 40, 112)(23, 95, 37, 109)(25, 97, 44, 116)(27, 99, 33, 105)(28, 100, 51, 123)(29, 101, 52, 124)(30, 102, 32, 104)(31, 103, 53, 125)(35, 107, 56, 128)(38, 110, 59, 131)(39, 111, 60, 132)(42, 114, 49, 121)(43, 115, 50, 122)(45, 117, 63, 135)(46, 118, 65, 137)(47, 119, 66, 138)(48, 120, 62, 134)(54, 126, 57, 129)(55, 127, 58, 130)(61, 133, 68, 140)(64, 136, 71, 143)(67, 139, 70, 142)(69, 141, 72, 144)(145, 217, 147, 219)(146, 218, 150, 222)(148, 220, 155, 227)(149, 221, 154, 226)(151, 223, 161, 233)(152, 224, 160, 232)(153, 225, 165, 237)(156, 228, 171, 243)(157, 229, 169, 241)(158, 230, 174, 246)(159, 231, 175, 247)(162, 234, 181, 253)(163, 235, 179, 251)(164, 236, 184, 256)(166, 238, 187, 259)(167, 239, 186, 258)(168, 240, 189, 261)(170, 242, 192, 264)(172, 244, 194, 266)(173, 245, 193, 265)(176, 248, 199, 271)(177, 249, 198, 270)(178, 250, 191, 263)(180, 252, 190, 262)(182, 254, 202, 274)(183, 255, 201, 273)(185, 257, 205, 277)(188, 260, 208, 280)(195, 267, 209, 281)(196, 268, 210, 282)(197, 269, 211, 283)(200, 272, 213, 285)(203, 275, 206, 278)(204, 276, 207, 279)(212, 284, 216, 288)(214, 286, 215, 287)
	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, 173)(15, 176)(16, 179)(17, 150)(18, 182)(19, 152)(20, 183)(21, 186)(22, 188)(23, 153)(24, 190)(25, 155)(26, 191)(27, 193)(28, 158)(29, 156)(30, 194)(31, 198)(32, 200)(33, 159)(34, 192)(35, 161)(36, 189)(37, 201)(38, 164)(39, 162)(40, 202)(41, 206)(42, 208)(43, 165)(44, 167)(45, 178)(46, 170)(47, 168)(48, 180)(49, 174)(50, 171)(51, 211)(52, 212)(53, 209)(54, 213)(55, 175)(56, 177)(57, 184)(58, 181)(59, 205)(60, 214)(61, 204)(62, 215)(63, 185)(64, 187)(65, 216)(66, 197)(67, 196)(68, 195)(69, 199)(70, 203)(71, 207)(72, 210)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E13.1237
Graph:: simple bipartite
	v = 72 e = 144 f = 48
	degree seq :: [ 4^72 ]

E13.1233 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 6})
Quotient :: dipole
Aut^+ = (C6 x S3) : C2 (small group id <72, 23>)
Aut   = (C2 x S3 x S3) : C2 (small group id <144, 154>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^4, (R * Y3)^2, (R * Y1)^2, (Y2 * Y3)^2, (Y1 * Y3^2)^2, (R * Y2 * Y3^-1)^2, (Y2 * Y1 * Y3 * Y1)^2, Y3 * Y1 * Y3^-1 * Y2 * Y1 * Y2 * Y3^-1 * Y1 * Y2, Y3 * Y1 * Y3 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 ]
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, 24, 96)(11, 83, 26, 98)(13, 85, 19, 91)(16, 88, 34, 106)(17, 89, 36, 108)(21, 93, 41, 113)(22, 94, 40, 112)(23, 95, 37, 109)(25, 97, 44, 116)(27, 99, 33, 105)(28, 100, 51, 123)(29, 101, 52, 124)(30, 102, 32, 104)(31, 103, 53, 125)(35, 107, 56, 128)(38, 110, 59, 131)(39, 111, 60, 132)(42, 114, 50, 122)(43, 115, 49, 121)(45, 117, 63, 135)(46, 118, 65, 137)(47, 119, 66, 138)(48, 120, 62, 134)(54, 126, 58, 130)(55, 127, 57, 129)(61, 133, 67, 139)(64, 136, 71, 143)(68, 140, 70, 142)(69, 141, 72, 144)(145, 217, 147, 219)(146, 218, 150, 222)(148, 220, 155, 227)(149, 221, 154, 226)(151, 223, 161, 233)(152, 224, 160, 232)(153, 225, 165, 237)(156, 228, 171, 243)(157, 229, 169, 241)(158, 230, 174, 246)(159, 231, 175, 247)(162, 234, 181, 253)(163, 235, 179, 251)(164, 236, 184, 256)(166, 238, 187, 259)(167, 239, 186, 258)(168, 240, 189, 261)(170, 242, 192, 264)(172, 244, 194, 266)(173, 245, 193, 265)(176, 248, 199, 271)(177, 249, 198, 270)(178, 250, 190, 262)(180, 252, 191, 263)(182, 254, 202, 274)(183, 255, 201, 273)(185, 257, 205, 277)(188, 260, 208, 280)(195, 267, 209, 281)(196, 268, 210, 282)(197, 269, 212, 284)(200, 272, 213, 285)(203, 275, 207, 279)(204, 276, 206, 278)(211, 283, 216, 288)(214, 286, 215, 287)
	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, 173)(15, 176)(16, 179)(17, 150)(18, 182)(19, 152)(20, 183)(21, 186)(22, 188)(23, 153)(24, 190)(25, 155)(26, 191)(27, 193)(28, 158)(29, 156)(30, 194)(31, 198)(32, 200)(33, 159)(34, 189)(35, 161)(36, 192)(37, 201)(38, 164)(39, 162)(40, 202)(41, 206)(42, 208)(43, 165)(44, 167)(45, 180)(46, 170)(47, 168)(48, 178)(49, 174)(50, 171)(51, 211)(52, 212)(53, 210)(54, 213)(55, 175)(56, 177)(57, 184)(58, 181)(59, 214)(60, 205)(61, 203)(62, 215)(63, 185)(64, 187)(65, 197)(66, 216)(67, 196)(68, 195)(69, 199)(70, 204)(71, 207)(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, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E13.1236
Graph:: simple bipartite
	v = 72 e = 144 f = 48
	degree seq :: [ 4^72 ]

E13.1234 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 6})
Quotient :: dipole
Aut^+ = (C6 x S3) : C2 (small group id <72, 23>)
Aut   = D24 x S3 (small group id <144, 144>)
|r| :: 2
Presentation :: [ Y2^2, R^2, Y3^3, Y1^2 * Y3^-1, (Y2 * Y3^-1)^2, (Y2 * Y3^-1)^2, (R * Y1)^2, (R * Y3)^2, (Y3^-1 * Y1^-1)^2, (R * Y2 * Y3^-1)^2, Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 73, 2, 74, 4, 76, 8, 80, 6, 78, 5, 77)(3, 75, 9, 81, 10, 82, 18, 90, 12, 84, 11, 83)(7, 79, 14, 86, 13, 85, 20, 92, 16, 88, 15, 87)(17, 89, 23, 95, 19, 91, 26, 98, 25, 97, 24, 96)(21, 93, 28, 100, 22, 94, 30, 102, 27, 99, 29, 101)(31, 103, 37, 109, 32, 104, 39, 111, 33, 105, 38, 110)(34, 106, 40, 112, 35, 107, 42, 114, 36, 108, 41, 113)(43, 115, 49, 121, 44, 116, 51, 123, 45, 117, 50, 122)(46, 118, 52, 124, 47, 119, 54, 126, 48, 120, 53, 125)(55, 127, 61, 133, 56, 128, 63, 135, 57, 129, 62, 134)(58, 130, 64, 136, 59, 131, 66, 138, 60, 132, 65, 137)(67, 139, 70, 142, 68, 140, 71, 143, 69, 141, 72, 144)(145, 217, 147, 219)(146, 218, 151, 223)(148, 220, 156, 228)(149, 221, 157, 229)(150, 222, 154, 226)(152, 224, 160, 232)(153, 225, 161, 233)(155, 227, 163, 235)(158, 230, 165, 237)(159, 231, 166, 238)(162, 234, 169, 241)(164, 236, 171, 243)(167, 239, 175, 247)(168, 240, 176, 248)(170, 242, 177, 249)(172, 244, 178, 250)(173, 245, 179, 251)(174, 246, 180, 252)(181, 253, 187, 259)(182, 254, 188, 260)(183, 255, 189, 261)(184, 256, 190, 262)(185, 257, 191, 263)(186, 258, 192, 264)(193, 265, 199, 271)(194, 266, 200, 272)(195, 267, 201, 273)(196, 268, 202, 274)(197, 269, 203, 275)(198, 270, 204, 276)(205, 277, 211, 283)(206, 278, 212, 284)(207, 279, 213, 285)(208, 280, 214, 286)(209, 281, 215, 287)(210, 282, 216, 288)
	L = (1, 148)(2, 152)(3, 154)(4, 150)(5, 146)(6, 145)(7, 157)(8, 149)(9, 162)(10, 156)(11, 153)(12, 147)(13, 160)(14, 164)(15, 158)(16, 151)(17, 163)(18, 155)(19, 169)(20, 159)(21, 166)(22, 171)(23, 170)(24, 167)(25, 161)(26, 168)(27, 165)(28, 174)(29, 172)(30, 173)(31, 176)(32, 177)(33, 175)(34, 179)(35, 180)(36, 178)(37, 183)(38, 181)(39, 182)(40, 186)(41, 184)(42, 185)(43, 188)(44, 189)(45, 187)(46, 191)(47, 192)(48, 190)(49, 195)(50, 193)(51, 194)(52, 198)(53, 196)(54, 197)(55, 200)(56, 201)(57, 199)(58, 203)(59, 204)(60, 202)(61, 207)(62, 205)(63, 206)(64, 210)(65, 208)(66, 209)(67, 212)(68, 213)(69, 211)(70, 215)(71, 216)(72, 214)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 4^4 ), ( 4^12 ) }
Outer automorphisms :: reflexible
Dual of E13.1231
Graph:: bipartite
	v = 48 e = 144 f = 72
	degree seq :: [ 4^36, 12^12 ]

E13.1235 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 6})
Quotient :: dipole
Aut^+ = (C6 x S3) : C2 (small group id <72, 23>)
Aut   = D24 x S3 (small group id <144, 144>)
|r| :: 2
Presentation :: [ Y2^2, R^2, Y3^2 * Y1^2, (R * Y3)^2, (Y3 * Y2)^2, (Y3^-1, Y1^-1), (R * Y1)^2, Y1^6, (R * Y2 * Y3^-1)^2, (Y1^-1 * Y2 * Y1^-1)^2, Y1^-1 * Y2 * Y1^-1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y3^-1 * Y1 * Y2 * Y1^-1 * Y2 ]
Map:: polytopal non-degenerate
	R = (1, 73, 2, 74, 7, 79, 18, 90, 15, 87, 5, 77)(3, 75, 11, 83, 25, 97, 35, 107, 19, 91, 13, 85)(4, 76, 9, 81, 6, 78, 10, 82, 20, 92, 16, 88)(8, 80, 21, 93, 17, 89, 32, 104, 33, 105, 23, 95)(12, 84, 27, 99, 14, 86, 28, 100, 34, 106, 29, 101)(22, 94, 37, 109, 24, 96, 38, 110, 31, 103, 39, 111)(26, 98, 41, 113, 30, 102, 46, 118, 48, 120, 43, 115)(36, 108, 49, 121, 40, 112, 54, 126, 47, 119, 51, 123)(42, 114, 56, 128, 44, 116, 57, 129, 45, 117, 58, 130)(50, 122, 62, 134, 52, 124, 63, 135, 53, 125, 64, 136)(55, 127, 67, 139, 59, 131, 72, 144, 60, 132, 69, 141)(61, 133, 71, 143, 65, 137, 68, 140, 66, 138, 70, 142)(145, 217, 147, 219)(146, 218, 152, 224)(148, 220, 158, 230)(149, 221, 161, 233)(150, 222, 156, 228)(151, 223, 163, 235)(153, 225, 168, 240)(154, 226, 166, 238)(155, 227, 170, 242)(157, 229, 174, 246)(159, 231, 169, 241)(160, 232, 175, 247)(162, 234, 177, 249)(164, 236, 178, 250)(165, 237, 180, 252)(167, 239, 184, 256)(171, 243, 188, 260)(172, 244, 186, 258)(173, 245, 189, 261)(176, 248, 191, 263)(179, 251, 192, 264)(181, 253, 196, 268)(182, 254, 194, 266)(183, 255, 197, 269)(185, 257, 199, 271)(187, 259, 203, 275)(190, 262, 204, 276)(193, 265, 205, 277)(195, 267, 209, 281)(198, 270, 210, 282)(200, 272, 214, 286)(201, 273, 212, 284)(202, 274, 215, 287)(206, 278, 216, 288)(207, 279, 211, 283)(208, 280, 213, 285)
	L = (1, 148)(2, 153)(3, 156)(4, 159)(5, 160)(6, 145)(7, 150)(8, 166)(9, 149)(10, 146)(11, 171)(12, 163)(13, 173)(14, 147)(15, 164)(16, 162)(17, 168)(18, 154)(19, 178)(20, 151)(21, 181)(22, 177)(23, 183)(24, 152)(25, 158)(26, 186)(27, 157)(28, 155)(29, 179)(30, 188)(31, 161)(32, 182)(33, 175)(34, 169)(35, 172)(36, 194)(37, 167)(38, 165)(39, 176)(40, 196)(41, 200)(42, 192)(43, 202)(44, 170)(45, 174)(46, 201)(47, 197)(48, 189)(49, 206)(50, 191)(51, 208)(52, 180)(53, 184)(54, 207)(55, 212)(56, 187)(57, 185)(58, 190)(59, 214)(60, 215)(61, 211)(62, 195)(63, 193)(64, 198)(65, 216)(66, 213)(67, 210)(68, 204)(69, 209)(70, 199)(71, 203)(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) :: { ( 4^4 ), ( 4^12 ) }
Outer automorphisms :: reflexible
Dual of E13.1230
Graph:: simple bipartite
	v = 48 e = 144 f = 72
	degree seq :: [ 4^36, 12^12 ]

E13.1236 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 6})
Quotient :: dipole
Aut^+ = (C6 x S3) : C2 (small group id <72, 23>)
Aut   = (C2 x S3 x S3) : C2 (small group id <144, 154>)
|r| :: 2
Presentation :: [ Y2^2, R^2, Y3^3, (Y3 * Y2)^2, (R * Y1)^2, (R * Y3)^2, (Y3 * Y1)^2, Y1^-1 * Y3^-1 * Y1^2 * Y3 * Y1^-1, (Y1 * Y2 * Y1)^2, Y1 * Y3^-1 * Y1 * Y3^-1 * Y1^2, Y1^6, (R * Y2 * Y3^-1)^2, (Y1^-1 * Y2 * Y1^-1)^2, Y1^-1 * Y2 * Y1^-1 * Y2 * Y1 * Y2 * Y1^-1 * Y2 * Y3^-1 ]
Map:: polytopal non-degenerate
	R = (1, 73, 2, 74, 7, 79, 21, 93, 19, 91, 5, 77)(3, 75, 11, 83, 31, 103, 47, 119, 22, 94, 13, 85)(4, 76, 15, 87, 23, 95, 10, 82, 30, 102, 16, 88)(6, 78, 20, 92, 24, 96, 18, 90, 29, 101, 9, 81)(8, 80, 25, 97, 17, 89, 42, 114, 45, 117, 27, 99)(12, 84, 35, 107, 57, 129, 34, 106, 46, 118, 36, 108)(14, 86, 39, 111, 58, 130, 38, 110, 48, 120, 33, 105)(26, 98, 52, 124, 40, 112, 51, 123, 41, 113, 53, 125)(28, 100, 56, 128, 43, 115, 55, 127, 44, 116, 50, 122)(32, 104, 59, 131, 37, 109, 65, 137, 69, 141, 61, 133)(49, 121, 67, 139, 54, 126, 62, 134, 68, 140, 66, 138)(60, 132, 70, 142, 63, 135, 71, 143, 64, 136, 72, 144)(145, 217, 147, 219)(146, 218, 152, 224)(148, 220, 158, 230)(149, 221, 161, 233)(150, 222, 156, 228)(151, 223, 166, 238)(153, 225, 172, 244)(154, 226, 170, 242)(155, 227, 176, 248)(157, 229, 181, 253)(159, 231, 184, 256)(160, 232, 185, 257)(162, 234, 187, 259)(163, 235, 175, 247)(164, 236, 188, 260)(165, 237, 189, 261)(167, 239, 192, 264)(168, 240, 190, 262)(169, 241, 193, 265)(171, 243, 198, 270)(173, 245, 201, 273)(174, 246, 202, 274)(177, 249, 206, 278)(178, 250, 204, 276)(179, 251, 207, 279)(180, 252, 208, 280)(182, 254, 210, 282)(183, 255, 211, 283)(186, 258, 212, 284)(191, 263, 213, 285)(194, 266, 205, 277)(195, 267, 214, 286)(196, 268, 215, 287)(197, 269, 216, 288)(199, 271, 203, 275)(200, 272, 209, 281)
	L = (1, 148)(2, 153)(3, 156)(4, 150)(5, 162)(6, 145)(7, 167)(8, 170)(9, 154)(10, 146)(11, 177)(12, 158)(13, 182)(14, 147)(15, 149)(16, 165)(17, 184)(18, 159)(19, 174)(20, 160)(21, 164)(22, 190)(23, 168)(24, 151)(25, 194)(26, 172)(27, 199)(28, 152)(29, 163)(30, 173)(31, 201)(32, 204)(33, 178)(34, 155)(35, 157)(36, 191)(37, 207)(38, 179)(39, 180)(40, 187)(41, 188)(42, 200)(43, 161)(44, 189)(45, 185)(46, 192)(47, 183)(48, 166)(49, 214)(50, 195)(51, 169)(52, 171)(53, 186)(54, 215)(55, 196)(56, 197)(57, 202)(58, 175)(59, 198)(60, 206)(61, 193)(62, 176)(63, 210)(64, 211)(65, 212)(66, 181)(67, 213)(68, 216)(69, 208)(70, 205)(71, 203)(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) :: { ( 4^4 ), ( 4^12 ) }
Outer automorphisms :: reflexible
Dual of E13.1233
Graph:: simple bipartite
	v = 48 e = 144 f = 72
	degree seq :: [ 4^36, 12^12 ]

E13.1237 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 6})
Quotient :: dipole
Aut^+ = (C6 x S3) : C2 (small group id <72, 23>)
Aut   = (C2 x S3 x S3) : C2 (small group id <144, 154>)
|r| :: 2
Presentation :: [ Y2^2, R^2, (R * Y1)^2, (Y3 * Y2)^2, (Y3^-1 * Y1)^2, (Y1 * Y3)^2, (R * Y3)^2, Y3^4, (R * Y2 * Y3^-1)^2, (Y1^-1 * Y2 * Y1^-1)^2, Y1^6, Y1 * Y2 * Y1^-1 * Y3 * Y2 * Y1^-1 * Y2 ]
Map:: polytopal non-degenerate
	R = (1, 73, 2, 74, 7, 79, 20, 92, 19, 91, 5, 77)(3, 75, 11, 83, 29, 101, 47, 119, 21, 93, 13, 85)(4, 76, 15, 87, 37, 109, 45, 117, 22, 94, 10, 82)(6, 78, 18, 90, 42, 114, 44, 116, 23, 95, 9, 81)(8, 80, 24, 96, 17, 89, 40, 112, 43, 115, 26, 98)(12, 84, 33, 105, 46, 118, 67, 139, 55, 127, 32, 104)(14, 86, 36, 108, 48, 120, 50, 122, 56, 128, 31, 103)(16, 88, 28, 100, 49, 121, 66, 138, 62, 134, 39, 111)(25, 97, 53, 125, 65, 137, 64, 136, 38, 110, 52, 124)(27, 99, 30, 102, 57, 129, 35, 107, 41, 113, 51, 123)(34, 106, 59, 131, 71, 143, 69, 141, 68, 140, 61, 133)(54, 126, 70, 142, 63, 135, 60, 132, 72, 144, 58, 130)(145, 217, 147, 219)(146, 218, 152, 224)(148, 220, 158, 230)(149, 221, 161, 233)(150, 222, 156, 228)(151, 223, 165, 237)(153, 225, 171, 243)(154, 226, 169, 241)(155, 227, 174, 246)(157, 229, 179, 251)(159, 231, 182, 254)(160, 232, 178, 250)(162, 234, 185, 257)(163, 235, 173, 245)(164, 236, 187, 259)(166, 238, 192, 264)(167, 239, 190, 262)(168, 240, 194, 266)(170, 242, 175, 247)(172, 244, 198, 270)(176, 248, 202, 274)(177, 249, 204, 276)(180, 252, 184, 256)(181, 253, 200, 272)(183, 255, 207, 279)(186, 258, 199, 271)(188, 260, 201, 273)(189, 261, 209, 281)(191, 263, 195, 267)(193, 265, 212, 284)(196, 268, 213, 285)(197, 269, 203, 275)(205, 277, 208, 280)(206, 278, 215, 287)(210, 282, 216, 288)(211, 283, 214, 286)
	L = (1, 148)(2, 153)(3, 156)(4, 160)(5, 162)(6, 145)(7, 166)(8, 169)(9, 172)(10, 146)(11, 175)(12, 178)(13, 180)(14, 147)(15, 149)(16, 150)(17, 182)(18, 183)(19, 181)(20, 188)(21, 190)(22, 193)(23, 151)(24, 195)(25, 198)(26, 174)(27, 152)(28, 154)(29, 199)(30, 202)(31, 203)(32, 155)(33, 157)(34, 158)(35, 204)(36, 205)(37, 206)(38, 207)(39, 159)(40, 179)(41, 161)(42, 163)(43, 209)(44, 210)(45, 164)(46, 212)(47, 194)(48, 165)(49, 167)(50, 213)(51, 214)(52, 168)(53, 170)(54, 171)(55, 215)(56, 173)(57, 187)(58, 197)(59, 176)(60, 208)(61, 177)(62, 186)(63, 185)(64, 184)(65, 216)(66, 189)(67, 191)(68, 192)(69, 211)(70, 196)(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) :: { ( 4^4 ), ( 4^12 ) }
Outer automorphisms :: reflexible
Dual of E13.1232
Graph:: simple bipartite
	v = 48 e = 144 f = 72
	degree seq :: [ 4^36, 12^12 ]

E13.1238 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 2, 6})
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 :: [ Y1^2, Y2^2, Y3^2, R^2, R * Y3 * R * Y2, (R * Y1)^2, (Y3 * Y2)^2, (Y3 * Y1)^4, (Y1 * Y2)^4, (Y3 * Y1 * Y2 * Y1)^3 ]
Map:: polytopal non-degenerate
	R = (1, 74, 2, 73)(3, 79, 7, 75)(4, 81, 9, 76)(5, 82, 10, 77)(6, 84, 12, 78)(8, 87, 15, 80)(11, 92, 20, 83)(13, 90, 18, 85)(14, 96, 24, 86)(16, 99, 27, 88)(17, 94, 22, 89)(19, 102, 30, 91)(21, 105, 33, 93)(23, 107, 35, 95)(25, 110, 38, 97)(26, 109, 37, 98)(28, 113, 41, 100)(29, 114, 42, 101)(31, 117, 45, 103)(32, 116, 44, 104)(34, 120, 48, 106)(36, 119, 47, 108)(39, 125, 53, 111)(40, 115, 43, 112)(46, 132, 60, 118)(49, 131, 59, 121)(50, 129, 57, 122)(51, 134, 62, 123)(52, 128, 56, 124)(54, 133, 61, 126)(55, 130, 58, 127)(63, 141, 69, 135)(64, 142, 70, 136)(65, 139, 67, 137)(66, 140, 68, 138)(71, 144, 72, 143)
	L = (1, 3)(2, 5)(4, 8)(6, 11)(7, 13)(9, 16)(10, 18)(12, 21)(14, 23)(15, 25)(17, 28)(19, 29)(20, 31)(22, 34)(24, 36)(26, 39)(27, 38)(30, 43)(32, 46)(33, 45)(35, 49)(37, 51)(40, 52)(41, 54)(42, 56)(44, 58)(47, 59)(48, 61)(50, 63)(53, 64)(55, 66)(57, 67)(60, 68)(62, 70)(65, 71)(69, 72)(73, 76)(74, 78)(75, 80)(77, 83)(79, 86)(81, 89)(82, 91)(84, 94)(85, 95)(87, 98)(88, 100)(90, 101)(92, 104)(93, 106)(96, 109)(97, 111)(99, 112)(102, 116)(103, 118)(105, 119)(107, 122)(108, 123)(110, 124)(113, 127)(114, 129)(115, 130)(117, 131)(120, 134)(121, 135)(125, 137)(126, 138)(128, 139)(132, 141)(133, 142)(136, 143)(140, 144)
	local type(s) :: { ( 12^4 ) }
Outer automorphisms :: reflexible
Dual of E13.1239
Transitivity :: VT+ AT
Graph:: simple bipartite
	v = 36 e = 72 f = 12
	degree seq :: [ 4^36 ]

E13.1239 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 2, 6})
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, (Y2 * Y3)^2, (R * Y1)^2, R * Y3 * R * Y2, (Y3 * Y1 * Y2)^2, Y1^6, Y3 * Y1 * Y2 * Y1 * Y2 * Y1 * Y3 * Y1^-1, Y3 * Y1^-3 * Y2 * Y1^-3, (Y2 * Y1 * Y2 * Y1^-1)^2 ]
Map:: polytopal non-degenerate
	R = (1, 74, 2, 78, 6, 89, 17, 88, 16, 77, 5, 73)(3, 81, 9, 97, 25, 113, 41, 103, 31, 83, 11, 75)(4, 84, 12, 104, 32, 112, 40, 105, 33, 85, 13, 76)(7, 92, 20, 119, 47, 111, 39, 124, 52, 94, 22, 79)(8, 95, 23, 125, 53, 110, 38, 126, 54, 96, 24, 80)(10, 100, 28, 131, 59, 136, 64, 115, 43, 93, 21, 82)(14, 106, 34, 118, 46, 91, 19, 117, 45, 107, 35, 86)(15, 108, 36, 116, 44, 90, 18, 114, 42, 109, 37, 87)(26, 129, 57, 142, 70, 135, 63, 137, 65, 122, 50, 98)(27, 123, 51, 138, 66, 134, 62, 141, 69, 130, 58, 99)(29, 132, 60, 144, 72, 128, 56, 139, 67, 120, 48, 101)(30, 121, 49, 140, 68, 127, 55, 143, 71, 133, 61, 102)
	L = (1, 3)(2, 7)(4, 10)(5, 14)(6, 18)(8, 21)(9, 26)(11, 29)(12, 30)(13, 27)(15, 28)(16, 38)(17, 40)(19, 43)(20, 48)(22, 50)(23, 51)(24, 49)(25, 55)(31, 62)(32, 63)(33, 56)(34, 60)(35, 57)(36, 58)(37, 61)(39, 59)(41, 64)(42, 65)(44, 67)(45, 68)(46, 66)(47, 69)(52, 71)(53, 72)(54, 70)(73, 76)(74, 80)(75, 82)(77, 87)(78, 91)(79, 93)(81, 99)(83, 102)(84, 101)(85, 98)(86, 100)(88, 111)(89, 113)(90, 115)(92, 121)(94, 123)(95, 122)(96, 120)(97, 128)(103, 135)(104, 134)(105, 127)(106, 133)(107, 130)(108, 129)(109, 132)(110, 131)(112, 136)(114, 138)(116, 140)(117, 139)(118, 137)(119, 142)(124, 144)(125, 143)(126, 141)
	local type(s) :: { ( 4^12 ) }
Outer automorphisms :: reflexible
Dual of E13.1238
Transitivity :: VT+ AT
Graph:: bipartite
	v = 12 e = 72 f = 36
	degree seq :: [ 12^12 ]

E13.1240 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 2, 6})
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, Y3^2, R^2, (R * Y3)^2, R * Y1 * R * Y2, (Y2 * Y1)^2, (Y3 * Y2)^4, (Y3 * Y1)^4, (Y3 * Y1 * Y3 * Y2)^3 ]
Map:: polytopal
	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)(147, 149)(148, 152)(150, 155)(151, 157)(153, 159)(154, 162)(156, 164)(158, 167)(160, 165)(161, 172)(163, 173)(166, 178)(168, 174)(169, 181)(170, 182)(171, 177)(175, 188)(176, 189)(179, 193)(180, 187)(183, 197)(184, 195)(185, 198)(186, 200)(190, 204)(191, 202)(192, 205)(194, 207)(196, 208)(199, 209)(201, 211)(203, 212)(206, 213)(210, 215)(214, 216)(217, 219)(218, 221)(220, 225)(222, 228)(223, 230)(224, 231)(226, 235)(227, 236)(229, 239)(232, 243)(233, 241)(234, 245)(237, 249)(238, 247)(240, 252)(242, 255)(244, 253)(246, 259)(248, 262)(250, 260)(251, 266)(254, 269)(256, 271)(257, 264)(258, 273)(261, 276)(263, 278)(265, 279)(267, 281)(268, 275)(270, 277)(272, 283)(274, 285)(280, 284)(282, 286)(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) :: { ( 24, 24 ), ( 24^4 ) }
Outer automorphisms :: reflexible
Dual of E13.1243
Graph:: simple bipartite
	v = 108 e = 144 f = 12
	degree seq :: [ 2^72, 4^36 ]

E13.1241 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 2, 6})
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, (Y1 * Y2)^2, (R * Y3)^2, R * Y2 * R * Y1, Y2 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y1, Y3^6, (Y3 * Y2)^4, Y3^-1 * Y2 * Y3^-3 * Y1 * Y3^-2, (Y3^-1 * Y2 * Y3 * Y2)^2, Y3^-1 * Y2 * Y3^-1 * Y1 * Y3 * Y2 * Y3 * Y1 ]
Map:: polytopal
	R = (1, 73, 4, 76, 13, 85, 33, 105, 16, 88, 5, 77)(2, 74, 7, 79, 21, 93, 48, 120, 24, 96, 8, 80)(3, 75, 9, 81, 25, 97, 55, 127, 26, 98, 10, 82)(6, 78, 17, 89, 40, 112, 64, 136, 41, 113, 18, 90)(11, 83, 27, 99, 56, 128, 39, 111, 57, 129, 28, 100)(12, 84, 29, 101, 58, 130, 38, 110, 59, 131, 30, 102)(14, 86, 34, 106, 63, 135, 32, 104, 62, 134, 35, 107)(15, 87, 36, 108, 61, 133, 31, 103, 60, 132, 37, 109)(19, 91, 42, 114, 65, 137, 54, 126, 66, 138, 43, 115)(20, 92, 44, 116, 67, 139, 53, 125, 68, 140, 45, 117)(22, 94, 49, 121, 72, 144, 47, 119, 71, 143, 50, 122)(23, 95, 51, 123, 70, 142, 46, 118, 69, 141, 52, 124)(145, 146)(147, 150)(148, 155)(149, 158)(151, 163)(152, 166)(153, 167)(154, 164)(156, 162)(157, 175)(159, 161)(160, 182)(165, 190)(168, 197)(169, 198)(170, 191)(171, 194)(172, 187)(173, 188)(174, 195)(176, 185)(177, 199)(178, 193)(179, 186)(180, 189)(181, 196)(183, 184)(192, 208)(200, 212)(201, 213)(202, 216)(203, 209)(204, 210)(205, 215)(206, 214)(207, 211)(217, 219)(218, 222)(220, 228)(221, 231)(223, 236)(224, 239)(225, 238)(226, 235)(227, 234)(229, 248)(230, 233)(232, 255)(237, 263)(240, 270)(241, 269)(242, 262)(243, 267)(244, 260)(245, 259)(246, 266)(247, 257)(249, 264)(250, 268)(251, 261)(252, 258)(253, 265)(254, 256)(271, 280)(272, 281)(273, 288)(274, 285)(275, 284)(276, 283)(277, 286)(278, 287)(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) :: { ( 8, 8 ), ( 8^12 ) }
Outer automorphisms :: reflexible
Dual of E13.1242
Graph:: simple bipartite
	v = 84 e = 144 f = 36
	degree seq :: [ 2^72, 12^12 ]

E13.1242 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 2, 6})
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, Y3^2, R^2, (R * Y3)^2, R * Y1 * R * Y2, (Y2 * Y1)^2, (Y3 * Y2)^4, (Y3 * Y1)^4, (Y3 * Y1 * Y3 * Y2)^3 ]
Map::
	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, 73)(3, 77)(4, 80)(5, 75)(6, 83)(7, 85)(8, 76)(9, 87)(10, 90)(11, 78)(12, 92)(13, 79)(14, 95)(15, 81)(16, 93)(17, 100)(18, 82)(19, 101)(20, 84)(21, 88)(22, 106)(23, 86)(24, 102)(25, 109)(26, 110)(27, 105)(28, 89)(29, 91)(30, 96)(31, 116)(32, 117)(33, 99)(34, 94)(35, 121)(36, 115)(37, 97)(38, 98)(39, 125)(40, 123)(41, 126)(42, 128)(43, 108)(44, 103)(45, 104)(46, 132)(47, 130)(48, 133)(49, 107)(50, 135)(51, 112)(52, 136)(53, 111)(54, 113)(55, 137)(56, 114)(57, 139)(58, 119)(59, 140)(60, 118)(61, 120)(62, 141)(63, 122)(64, 124)(65, 127)(66, 143)(67, 129)(68, 131)(69, 134)(70, 144)(71, 138)(72, 142)(145, 219)(146, 221)(147, 217)(148, 225)(149, 218)(150, 228)(151, 230)(152, 231)(153, 220)(154, 235)(155, 236)(156, 222)(157, 239)(158, 223)(159, 224)(160, 243)(161, 241)(162, 245)(163, 226)(164, 227)(165, 249)(166, 247)(167, 229)(168, 252)(169, 233)(170, 255)(171, 232)(172, 253)(173, 234)(174, 259)(175, 238)(176, 262)(177, 237)(178, 260)(179, 266)(180, 240)(181, 244)(182, 269)(183, 242)(184, 271)(185, 264)(186, 273)(187, 246)(188, 250)(189, 276)(190, 248)(191, 278)(192, 257)(193, 279)(194, 251)(195, 281)(196, 275)(197, 254)(198, 277)(199, 256)(200, 283)(201, 258)(202, 285)(203, 268)(204, 261)(205, 270)(206, 263)(207, 265)(208, 284)(209, 267)(210, 286)(211, 272)(212, 280)(213, 274)(214, 282)(215, 288)(216, 287)
	local type(s) :: { ( 2, 12, 2, 12, 2, 12, 2, 12 ) }
Outer automorphisms :: reflexible
Dual of E13.1241
Transitivity :: VT+
Graph:: bipartite
	v = 36 e = 144 f = 84
	degree seq :: [ 8^36 ]

E13.1243 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 2, 6})
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, (Y1 * Y2)^2, (R * Y3)^2, R * Y2 * R * Y1, Y2 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y1, Y3^6, (Y3 * Y2)^4, Y3^-1 * Y2 * Y3^-3 * Y1 * Y3^-2, (Y3^-1 * Y2 * Y3 * Y2)^2, Y3^-1 * Y2 * Y3^-1 * Y1 * Y3 * Y2 * Y3 * Y1 ]
Map::
	R = (1, 73, 145, 217, 4, 76, 148, 220, 13, 85, 157, 229, 33, 105, 177, 249, 16, 88, 160, 232, 5, 77, 149, 221)(2, 74, 146, 218, 7, 79, 151, 223, 21, 93, 165, 237, 48, 120, 192, 264, 24, 96, 168, 240, 8, 80, 152, 224)(3, 75, 147, 219, 9, 81, 153, 225, 25, 97, 169, 241, 55, 127, 199, 271, 26, 98, 170, 242, 10, 82, 154, 226)(6, 78, 150, 222, 17, 89, 161, 233, 40, 112, 184, 256, 64, 136, 208, 280, 41, 113, 185, 257, 18, 90, 162, 234)(11, 83, 155, 227, 27, 99, 171, 243, 56, 128, 200, 272, 39, 111, 183, 255, 57, 129, 201, 273, 28, 100, 172, 244)(12, 84, 156, 228, 29, 101, 173, 245, 58, 130, 202, 274, 38, 110, 182, 254, 59, 131, 203, 275, 30, 102, 174, 246)(14, 86, 158, 230, 34, 106, 178, 250, 63, 135, 207, 279, 32, 104, 176, 248, 62, 134, 206, 278, 35, 107, 179, 251)(15, 87, 159, 231, 36, 108, 180, 252, 61, 133, 205, 277, 31, 103, 175, 247, 60, 132, 204, 276, 37, 109, 181, 253)(19, 91, 163, 235, 42, 114, 186, 258, 65, 137, 209, 281, 54, 126, 198, 270, 66, 138, 210, 282, 43, 115, 187, 259)(20, 92, 164, 236, 44, 116, 188, 260, 67, 139, 211, 283, 53, 125, 197, 269, 68, 140, 212, 284, 45, 117, 189, 261)(22, 94, 166, 238, 49, 121, 193, 265, 72, 144, 216, 288, 47, 119, 191, 263, 71, 143, 215, 287, 50, 122, 194, 266)(23, 95, 167, 239, 51, 123, 195, 267, 70, 142, 214, 286, 46, 118, 190, 262, 69, 141, 213, 285, 52, 124, 196, 268)
	L = (1, 74)(2, 73)(3, 78)(4, 83)(5, 86)(6, 75)(7, 91)(8, 94)(9, 95)(10, 92)(11, 76)(12, 90)(13, 103)(14, 77)(15, 89)(16, 110)(17, 87)(18, 84)(19, 79)(20, 82)(21, 118)(22, 80)(23, 81)(24, 125)(25, 126)(26, 119)(27, 122)(28, 115)(29, 116)(30, 123)(31, 85)(32, 113)(33, 127)(34, 121)(35, 114)(36, 117)(37, 124)(38, 88)(39, 112)(40, 111)(41, 104)(42, 107)(43, 100)(44, 101)(45, 108)(46, 93)(47, 98)(48, 136)(49, 106)(50, 99)(51, 102)(52, 109)(53, 96)(54, 97)(55, 105)(56, 140)(57, 141)(58, 144)(59, 137)(60, 138)(61, 143)(62, 142)(63, 139)(64, 120)(65, 131)(66, 132)(67, 135)(68, 128)(69, 129)(70, 134)(71, 133)(72, 130)(145, 219)(146, 222)(147, 217)(148, 228)(149, 231)(150, 218)(151, 236)(152, 239)(153, 238)(154, 235)(155, 234)(156, 220)(157, 248)(158, 233)(159, 221)(160, 255)(161, 230)(162, 227)(163, 226)(164, 223)(165, 263)(166, 225)(167, 224)(168, 270)(169, 269)(170, 262)(171, 267)(172, 260)(173, 259)(174, 266)(175, 257)(176, 229)(177, 264)(178, 268)(179, 261)(180, 258)(181, 265)(182, 256)(183, 232)(184, 254)(185, 247)(186, 252)(187, 245)(188, 244)(189, 251)(190, 242)(191, 237)(192, 249)(193, 253)(194, 246)(195, 243)(196, 250)(197, 241)(198, 240)(199, 280)(200, 281)(201, 288)(202, 285)(203, 284)(204, 283)(205, 286)(206, 287)(207, 282)(208, 271)(209, 272)(210, 279)(211, 276)(212, 275)(213, 274)(214, 277)(215, 278)(216, 273)
	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 E13.1240
Transitivity :: VT+
Graph:: bipartite
	v = 12 e = 144 f = 108
	degree seq :: [ 24^12 ]

E13.1244 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 6})
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, Y2^2, Y3^2, R^2, (R * Y2)^2, (Y3 * Y2)^2, (R * Y1)^2, (R * Y3)^2, (Y1 * Y2)^4, (Y3 * Y2 * Y1)^4, (Y3 * Y1)^6, Y1 * Y3 * Y1 * Y2 * Y1 * Y3 * Y2 * Y1 * Y2 * Y1 * Y3 * Y1 * Y2 ]
Map:: polytopal non-degenerate
	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, 18, 90)(14, 86, 24, 96)(16, 88, 27, 99)(17, 89, 29, 101)(19, 91, 31, 103)(21, 93, 34, 106)(22, 94, 36, 108)(23, 95, 37, 109)(25, 97, 40, 112)(26, 98, 42, 114)(28, 100, 44, 116)(30, 102, 47, 119)(32, 104, 50, 122)(33, 105, 52, 124)(35, 107, 54, 126)(38, 110, 59, 131)(39, 111, 61, 133)(41, 113, 51, 123)(43, 115, 65, 137)(45, 117, 66, 138)(46, 118, 56, 128)(48, 120, 62, 134)(49, 121, 67, 139)(53, 125, 57, 129)(55, 127, 64, 136)(58, 130, 71, 143)(60, 132, 69, 141)(63, 135, 70, 142)(68, 140, 72, 144)(145, 217, 147, 219)(146, 218, 149, 221)(148, 220, 152, 224)(150, 222, 155, 227)(151, 223, 157, 229)(153, 225, 160, 232)(154, 226, 162, 234)(156, 228, 165, 237)(158, 230, 167, 239)(159, 231, 169, 241)(161, 233, 172, 244)(163, 235, 174, 246)(164, 236, 176, 248)(166, 238, 179, 251)(168, 240, 182, 254)(170, 242, 185, 257)(171, 243, 184, 256)(173, 245, 189, 261)(175, 247, 192, 264)(177, 249, 195, 267)(178, 250, 194, 266)(180, 252, 199, 271)(181, 253, 201, 273)(183, 255, 204, 276)(186, 258, 207, 279)(187, 259, 206, 278)(188, 260, 202, 274)(190, 262, 211, 283)(191, 263, 209, 281)(193, 265, 213, 285)(196, 268, 214, 286)(197, 269, 203, 275)(198, 270, 212, 284)(200, 272, 205, 277)(208, 280, 216, 288)(210, 282, 215, 287)
	L = (1, 148)(2, 150)(3, 152)(4, 145)(5, 155)(6, 146)(7, 158)(8, 147)(9, 161)(10, 163)(11, 149)(12, 166)(13, 167)(14, 151)(15, 170)(16, 172)(17, 153)(18, 174)(19, 154)(20, 177)(21, 179)(22, 156)(23, 157)(24, 183)(25, 185)(26, 159)(27, 187)(28, 160)(29, 190)(30, 162)(31, 193)(32, 195)(33, 164)(34, 197)(35, 165)(36, 200)(37, 202)(38, 204)(39, 168)(40, 206)(41, 169)(42, 208)(43, 171)(44, 201)(45, 211)(46, 173)(47, 212)(48, 213)(49, 175)(50, 203)(51, 176)(52, 210)(53, 178)(54, 209)(55, 205)(56, 180)(57, 188)(58, 181)(59, 194)(60, 182)(61, 199)(62, 184)(63, 216)(64, 186)(65, 198)(66, 196)(67, 189)(68, 191)(69, 192)(70, 215)(71, 214)(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, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E13.1246
Graph:: simple bipartite
	v = 72 e = 144 f = 48
	degree seq :: [ 4^72 ]

E13.1245 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 6})
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, Y2^2, R^2, Y3^3, (Y3 * Y2)^2, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, (Y2 * Y1)^4, Y2 * Y1 * Y3 * Y1 * Y2 * Y1 * Y3^-1 * Y1, Y3 * Y1 * Y3 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1, Y3^-1 * Y2 * Y1 * Y2 * Y3^-1 * Y1 * Y3^-1 * Y2 * Y1 * Y3 * Y2 * Y1 ]
Map:: polytopal non-degenerate
	R = (1, 73, 2, 74)(3, 75, 9, 81)(4, 76, 12, 84)(5, 77, 13, 85)(6, 78, 14, 86)(7, 79, 17, 89)(8, 80, 18, 90)(10, 82, 22, 94)(11, 83, 23, 95)(15, 87, 33, 105)(16, 88, 34, 106)(19, 91, 30, 102)(20, 92, 35, 107)(21, 93, 38, 110)(24, 96, 31, 103)(25, 97, 36, 108)(26, 98, 39, 111)(27, 99, 32, 104)(28, 100, 37, 109)(29, 101, 40, 112)(41, 113, 55, 127)(42, 114, 58, 130)(43, 115, 53, 125)(44, 116, 61, 133)(45, 117, 63, 135)(46, 118, 54, 126)(47, 119, 62, 134)(48, 120, 64, 136)(49, 121, 56, 128)(50, 122, 59, 131)(51, 123, 57, 129)(52, 124, 60, 132)(65, 137, 69, 141)(66, 138, 71, 143)(67, 139, 70, 142)(68, 140, 72, 144)(145, 217, 147, 219)(146, 218, 150, 222)(148, 220, 155, 227)(149, 221, 154, 226)(151, 223, 160, 232)(152, 224, 159, 231)(153, 225, 163, 235)(156, 228, 168, 240)(157, 229, 171, 243)(158, 230, 174, 246)(161, 233, 179, 251)(162, 234, 182, 254)(164, 236, 186, 258)(165, 237, 185, 257)(166, 238, 187, 259)(167, 239, 190, 262)(169, 241, 194, 266)(170, 242, 193, 265)(172, 244, 196, 268)(173, 245, 195, 267)(175, 247, 198, 270)(176, 248, 197, 269)(177, 249, 199, 271)(178, 250, 202, 274)(180, 252, 206, 278)(181, 253, 205, 277)(183, 255, 208, 280)(184, 256, 207, 279)(188, 260, 210, 282)(189, 261, 209, 281)(191, 263, 212, 284)(192, 264, 211, 283)(200, 272, 214, 286)(201, 273, 213, 285)(203, 275, 216, 288)(204, 276, 215, 287)
	L = (1, 148)(2, 151)(3, 154)(4, 149)(5, 145)(6, 159)(7, 152)(8, 146)(9, 164)(10, 155)(11, 147)(12, 169)(13, 172)(14, 175)(15, 160)(16, 150)(17, 180)(18, 183)(19, 185)(20, 165)(21, 153)(22, 188)(23, 191)(24, 193)(25, 170)(26, 156)(27, 195)(28, 173)(29, 157)(30, 197)(31, 176)(32, 158)(33, 200)(34, 203)(35, 205)(36, 181)(37, 161)(38, 207)(39, 184)(40, 162)(41, 186)(42, 163)(43, 209)(44, 189)(45, 166)(46, 211)(47, 192)(48, 167)(49, 194)(50, 168)(51, 196)(52, 171)(53, 198)(54, 174)(55, 213)(56, 201)(57, 177)(58, 215)(59, 204)(60, 178)(61, 206)(62, 179)(63, 208)(64, 182)(65, 210)(66, 187)(67, 212)(68, 190)(69, 214)(70, 199)(71, 216)(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, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E13.1247
Graph:: simple bipartite
	v = 72 e = 144 f = 48
	degree seq :: [ 4^72 ]

E13.1246 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 6})
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 :: [ R^2, Y2^2, Y3^2, (R * Y2)^2, (R * Y3)^2, (Y1^-1 * Y3)^2, (Y3 * Y2)^2, (R * Y1)^2, Y1^6, (Y2 * Y1^-1)^4, (Y2 * Y1 * Y2 * Y1^-1)^2, Y1^-3 * Y2 * Y1^2 * Y3 * Y1^-1 * Y2 ]
Map:: polytopal non-degenerate
	R = (1, 73, 2, 74, 6, 78, 15, 87, 14, 86, 5, 77)(3, 75, 9, 81, 21, 93, 43, 115, 26, 98, 11, 83)(4, 76, 12, 84, 27, 99, 33, 105, 17, 89, 8, 80)(7, 79, 18, 90, 37, 109, 52, 124, 42, 114, 20, 92)(10, 82, 24, 96, 48, 120, 32, 104, 45, 117, 23, 95)(13, 85, 29, 101, 55, 127, 35, 107, 56, 128, 30, 102)(16, 88, 34, 106, 54, 126, 28, 100, 53, 125, 36, 108)(19, 91, 40, 112, 58, 130, 31, 103, 57, 129, 39, 111)(22, 94, 46, 118, 67, 139, 69, 141, 59, 131, 41, 113)(25, 97, 50, 122, 71, 143, 65, 137, 60, 132, 38, 110)(44, 116, 64, 136, 70, 142, 49, 121, 62, 134, 66, 138)(47, 119, 63, 135, 72, 144, 51, 123, 61, 133, 68, 140)(145, 217, 147, 219)(146, 218, 151, 223)(148, 220, 154, 226)(149, 221, 157, 229)(150, 222, 160, 232)(152, 224, 163, 235)(153, 225, 166, 238)(155, 227, 169, 241)(156, 228, 172, 244)(158, 230, 175, 247)(159, 231, 176, 248)(161, 233, 179, 251)(162, 234, 182, 254)(164, 236, 185, 257)(165, 237, 188, 260)(167, 239, 191, 263)(168, 240, 193, 265)(170, 242, 195, 267)(171, 243, 196, 268)(173, 245, 194, 266)(174, 246, 190, 262)(177, 249, 187, 259)(178, 250, 203, 275)(180, 252, 204, 276)(181, 253, 205, 277)(183, 255, 206, 278)(184, 256, 207, 279)(186, 258, 208, 280)(189, 261, 209, 281)(192, 264, 213, 285)(197, 269, 212, 284)(198, 270, 214, 286)(199, 271, 216, 288)(200, 272, 210, 282)(201, 273, 211, 283)(202, 274, 215, 287)
	L = (1, 148)(2, 152)(3, 154)(4, 145)(5, 156)(6, 161)(7, 163)(8, 146)(9, 167)(10, 147)(11, 168)(12, 149)(13, 172)(14, 171)(15, 177)(16, 179)(17, 150)(18, 183)(19, 151)(20, 184)(21, 189)(22, 191)(23, 153)(24, 155)(25, 193)(26, 192)(27, 158)(28, 157)(29, 198)(30, 197)(31, 196)(32, 187)(33, 159)(34, 199)(35, 160)(36, 200)(37, 201)(38, 206)(39, 162)(40, 164)(41, 207)(42, 202)(43, 176)(44, 209)(45, 165)(46, 212)(47, 166)(48, 170)(49, 169)(50, 214)(51, 213)(52, 175)(53, 174)(54, 173)(55, 178)(56, 180)(57, 181)(58, 186)(59, 216)(60, 210)(61, 211)(62, 182)(63, 185)(64, 215)(65, 188)(66, 204)(67, 205)(68, 190)(69, 195)(70, 194)(71, 208)(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) :: { ( 4^4 ), ( 4^12 ) }
Outer automorphisms :: reflexible
Dual of E13.1244
Graph:: simple bipartite
	v = 48 e = 144 f = 72
	degree seq :: [ 4^36, 12^12 ]

E13.1247 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 6})
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 :: [ Y2^2, R^2, Y3^3, (R * Y1)^2, (Y3 * Y2)^2, (R * Y3)^2, (Y3 * Y1)^2, (R * Y2 * Y3^-1)^2, Y1^6, Y3 * Y1^-1 * Y3 * Y1^3, Y3 * Y1^-1 * Y3 * Y1^-3, Y3 * Y1^-1 * Y2 * Y1^-2 * Y2 * Y1^-1, (Y2 * Y1 * Y2 * Y1^-1)^2, (Y1^-1 * Y2)^4 ]
Map:: polytopal non-degenerate
	R = (1, 73, 2, 74, 7, 79, 21, 93, 19, 91, 5, 77)(3, 75, 11, 83, 31, 103, 57, 129, 39, 111, 13, 85)(4, 76, 15, 87, 23, 95, 10, 82, 30, 102, 16, 88)(6, 78, 20, 92, 24, 96, 18, 90, 29, 101, 9, 81)(8, 80, 25, 97, 42, 114, 66, 138, 45, 117, 27, 99)(12, 84, 35, 107, 49, 121, 34, 106, 46, 118, 36, 108)(14, 86, 40, 112, 22, 94, 38, 110, 56, 128, 33, 105)(17, 89, 43, 115, 26, 98, 52, 124, 47, 119, 44, 116)(28, 100, 55, 127, 48, 120, 54, 126, 41, 113, 51, 123)(32, 104, 58, 130, 62, 134, 70, 142, 64, 136, 53, 125)(37, 109, 63, 135, 59, 131, 69, 141, 65, 137, 50, 122)(60, 132, 72, 144, 71, 143, 68, 140, 61, 133, 67, 139)(145, 217, 147, 219)(146, 218, 152, 224)(148, 220, 158, 230)(149, 221, 161, 233)(150, 222, 156, 228)(151, 223, 166, 238)(153, 225, 172, 244)(154, 226, 170, 242)(155, 227, 176, 248)(157, 229, 181, 253)(159, 231, 185, 257)(160, 232, 186, 258)(162, 234, 189, 261)(163, 235, 190, 262)(164, 236, 191, 263)(165, 237, 192, 264)(167, 239, 193, 265)(168, 240, 175, 247)(169, 241, 194, 266)(171, 243, 197, 269)(173, 245, 200, 272)(174, 246, 183, 255)(177, 249, 204, 276)(178, 250, 203, 275)(179, 251, 205, 277)(180, 252, 206, 278)(182, 254, 208, 280)(184, 256, 209, 281)(187, 259, 207, 279)(188, 260, 202, 274)(195, 267, 211, 283)(196, 268, 212, 284)(198, 270, 213, 285)(199, 271, 214, 286)(201, 273, 215, 287)(210, 282, 216, 288)
	L = (1, 148)(2, 153)(3, 156)(4, 150)(5, 162)(6, 145)(7, 167)(8, 170)(9, 154)(10, 146)(11, 177)(12, 158)(13, 182)(14, 147)(15, 149)(16, 165)(17, 185)(18, 159)(19, 174)(20, 160)(21, 164)(22, 175)(23, 168)(24, 151)(25, 195)(26, 172)(27, 198)(28, 152)(29, 163)(30, 173)(31, 193)(32, 203)(33, 178)(34, 155)(35, 157)(36, 201)(37, 205)(38, 179)(39, 190)(40, 180)(41, 189)(42, 191)(43, 210)(44, 169)(45, 161)(46, 200)(47, 192)(48, 186)(49, 166)(50, 202)(51, 188)(52, 171)(53, 212)(54, 196)(55, 187)(56, 183)(57, 184)(58, 211)(59, 204)(60, 176)(61, 208)(62, 209)(63, 214)(64, 181)(65, 215)(66, 199)(67, 194)(68, 213)(69, 197)(70, 216)(71, 206)(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) :: { ( 4^4 ), ( 4^12 ) }
Outer automorphisms :: reflexible
Dual of E13.1245
Graph:: simple bipartite
	v = 48 e = 144 f = 72
	degree seq :: [ 4^36, 12^12 ]

E13.1248 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 6})
Quotient :: dipole
Aut^+ = C2 x S3 x S3 (small group id <72, 46>)
Aut   = C2 x C2 x S3 x S3 (small group id <144, 192>)
|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, (Y3 * Y1)^6, (Y2 * Y1)^6 ]
Map:: polytopal non-degenerate
	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, 21, 93)(16, 88, 19, 91)(17, 89, 28, 100)(18, 90, 29, 101)(22, 94, 34, 106)(24, 96, 37, 109)(25, 97, 36, 108)(26, 98, 39, 111)(27, 99, 40, 112)(30, 102, 44, 116)(31, 103, 43, 115)(32, 104, 46, 118)(33, 105, 47, 119)(35, 107, 42, 114)(38, 110, 52, 124)(41, 113, 48, 120)(45, 117, 59, 131)(49, 121, 57, 129)(50, 122, 56, 128)(51, 123, 61, 133)(53, 125, 62, 134)(54, 126, 58, 130)(55, 127, 60, 132)(63, 135, 68, 140)(64, 136, 67, 139)(65, 137, 70, 142)(66, 138, 69, 141)(71, 143, 72, 144)(145, 217, 147, 219)(146, 218, 149, 221)(148, 220, 152, 224)(150, 222, 155, 227)(151, 223, 157, 229)(153, 225, 160, 232)(154, 226, 162, 234)(156, 228, 165, 237)(158, 230, 168, 240)(159, 231, 169, 241)(161, 233, 171, 243)(163, 235, 174, 246)(164, 236, 175, 247)(166, 238, 177, 249)(167, 239, 179, 251)(170, 242, 182, 254)(172, 244, 183, 255)(173, 245, 186, 258)(176, 248, 189, 261)(178, 250, 190, 262)(180, 252, 193, 265)(181, 253, 194, 266)(184, 256, 198, 270)(185, 257, 197, 269)(187, 259, 200, 272)(188, 260, 201, 273)(191, 263, 205, 277)(192, 264, 204, 276)(195, 267, 207, 279)(196, 268, 208, 280)(199, 271, 210, 282)(202, 274, 211, 283)(203, 275, 212, 284)(206, 278, 214, 286)(209, 281, 215, 287)(213, 285, 216, 288)
	L = (1, 148)(2, 150)(3, 152)(4, 145)(5, 155)(6, 146)(7, 158)(8, 147)(9, 161)(10, 163)(11, 149)(12, 166)(13, 168)(14, 151)(15, 170)(16, 171)(17, 153)(18, 174)(19, 154)(20, 176)(21, 177)(22, 156)(23, 180)(24, 157)(25, 182)(26, 159)(27, 160)(28, 185)(29, 187)(30, 162)(31, 189)(32, 164)(33, 165)(34, 192)(35, 193)(36, 167)(37, 195)(38, 169)(39, 197)(40, 199)(41, 172)(42, 200)(43, 173)(44, 202)(45, 175)(46, 204)(47, 206)(48, 178)(49, 179)(50, 207)(51, 181)(52, 209)(53, 183)(54, 210)(55, 184)(56, 186)(57, 211)(58, 188)(59, 213)(60, 190)(61, 214)(62, 191)(63, 194)(64, 215)(65, 196)(66, 198)(67, 201)(68, 216)(69, 203)(70, 205)(71, 208)(72, 212)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E13.1254
Graph:: simple bipartite
	v = 72 e = 144 f = 48
	degree seq :: [ 4^72 ]

E13.1249 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 6})
Quotient :: dipole
Aut^+ = C2 x S3 x S3 (small group id <72, 46>)
Aut   = C2 x C2 x S3 x S3 (small group id <144, 192>)
|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 * Y2 * Y1 * Y2)^2, (Y2 * Y1 * Y3 * Y1 * Y3 * Y1)^2, (Y2 * Y1)^6, (Y3 * Y1)^6 ]
Map:: polytopal non-degenerate
	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, 34, 106)(26, 98, 32, 104)(27, 99, 44, 116)(29, 101, 45, 117)(35, 107, 53, 125)(37, 109, 54, 126)(39, 111, 48, 120)(40, 112, 50, 122)(41, 113, 49, 121)(42, 114, 55, 127)(43, 115, 58, 130)(46, 118, 51, 123)(47, 119, 56, 128)(52, 124, 64, 136)(57, 129, 65, 137)(59, 131, 63, 135)(60, 132, 68, 140)(61, 133, 67, 139)(62, 134, 66, 138)(69, 141, 72, 144)(70, 142, 71, 143)(145, 217, 147, 219)(146, 218, 149, 221)(148, 220, 152, 224)(150, 222, 155, 227)(151, 223, 157, 229)(153, 225, 160, 232)(154, 226, 162, 234)(156, 228, 165, 237)(158, 230, 168, 240)(159, 231, 170, 242)(161, 233, 173, 245)(163, 235, 176, 248)(164, 236, 178, 250)(166, 238, 181, 253)(167, 239, 183, 255)(169, 241, 185, 257)(171, 243, 187, 259)(172, 244, 184, 256)(174, 246, 190, 262)(175, 247, 192, 264)(177, 249, 194, 266)(179, 251, 196, 268)(180, 252, 193, 265)(182, 254, 199, 271)(186, 258, 201, 273)(188, 260, 203, 275)(189, 261, 202, 274)(191, 263, 206, 278)(195, 267, 207, 279)(197, 269, 209, 281)(198, 270, 208, 280)(200, 272, 212, 284)(204, 276, 214, 286)(205, 277, 213, 285)(210, 282, 216, 288)(211, 283, 215, 287)
	L = (1, 148)(2, 150)(3, 152)(4, 145)(5, 155)(6, 146)(7, 158)(8, 147)(9, 161)(10, 163)(11, 149)(12, 166)(13, 168)(14, 151)(15, 171)(16, 173)(17, 153)(18, 176)(19, 154)(20, 179)(21, 181)(22, 156)(23, 184)(24, 157)(25, 186)(26, 187)(27, 159)(28, 183)(29, 160)(30, 191)(31, 193)(32, 162)(33, 195)(34, 196)(35, 164)(36, 192)(37, 165)(38, 200)(39, 172)(40, 167)(41, 201)(42, 169)(43, 170)(44, 204)(45, 205)(46, 206)(47, 174)(48, 180)(49, 175)(50, 207)(51, 177)(52, 178)(53, 210)(54, 211)(55, 212)(56, 182)(57, 185)(58, 213)(59, 214)(60, 188)(61, 189)(62, 190)(63, 194)(64, 215)(65, 216)(66, 197)(67, 198)(68, 199)(69, 202)(70, 203)(71, 208)(72, 209)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E13.1253
Graph:: simple bipartite
	v = 72 e = 144 f = 48
	degree seq :: [ 4^72 ]

E13.1250 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 6})
Quotient :: dipole
Aut^+ = C2 x S3 x S3 (small group id <72, 46>)
Aut   = C2 x C2 x S3 x S3 (small group id <144, 192>)
|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, Y3^6, (Y3 * Y1 * Y3^-1 * Y2)^2, Y3 * Y1 * Y3 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * 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, 24, 96)(11, 83, 26, 98)(13, 85, 22, 94)(15, 87, 20, 92)(17, 89, 33, 105)(18, 90, 35, 107)(23, 95, 36, 108)(25, 97, 34, 106)(27, 99, 32, 104)(28, 100, 45, 117)(29, 101, 46, 118)(30, 102, 41, 113)(31, 103, 47, 119)(37, 109, 52, 124)(38, 110, 53, 125)(39, 111, 48, 120)(40, 112, 54, 126)(42, 114, 55, 127)(43, 115, 56, 128)(44, 116, 57, 129)(49, 121, 61, 133)(50, 122, 62, 134)(51, 123, 63, 135)(58, 130, 65, 137)(59, 131, 64, 136)(60, 132, 66, 138)(67, 139, 72, 144)(68, 140, 71, 143)(69, 141, 70, 142)(145, 217, 147, 219)(146, 218, 150, 222)(148, 220, 155, 227)(149, 221, 154, 226)(151, 223, 162, 234)(152, 224, 161, 233)(153, 225, 164, 236)(156, 228, 171, 243)(157, 229, 160, 232)(158, 230, 170, 242)(159, 231, 169, 241)(163, 235, 180, 252)(165, 237, 179, 251)(166, 238, 178, 250)(167, 239, 183, 255)(168, 240, 185, 257)(172, 244, 188, 260)(173, 245, 187, 259)(174, 246, 176, 248)(175, 247, 186, 258)(177, 249, 192, 264)(181, 253, 195, 267)(182, 254, 194, 266)(184, 256, 193, 265)(189, 261, 199, 271)(190, 262, 201, 273)(191, 263, 200, 272)(196, 268, 205, 277)(197, 269, 207, 279)(198, 270, 206, 278)(202, 274, 212, 284)(203, 275, 211, 283)(204, 276, 213, 285)(208, 280, 215, 287)(209, 281, 214, 286)(210, 282, 216, 288)
	L = (1, 148)(2, 151)(3, 154)(4, 157)(5, 145)(6, 161)(7, 164)(8, 146)(9, 162)(10, 169)(11, 147)(12, 172)(13, 174)(14, 175)(15, 149)(16, 155)(17, 178)(18, 150)(19, 181)(20, 183)(21, 184)(22, 152)(23, 153)(24, 186)(25, 176)(26, 188)(27, 187)(28, 158)(29, 156)(30, 159)(31, 185)(32, 160)(33, 193)(34, 167)(35, 195)(36, 194)(37, 165)(38, 163)(39, 166)(40, 192)(41, 173)(42, 170)(43, 168)(44, 171)(45, 202)(46, 204)(47, 203)(48, 182)(49, 179)(50, 177)(51, 180)(52, 208)(53, 210)(54, 209)(55, 211)(56, 213)(57, 212)(58, 190)(59, 189)(60, 191)(61, 214)(62, 216)(63, 215)(64, 197)(65, 196)(66, 198)(67, 200)(68, 199)(69, 201)(70, 206)(71, 205)(72, 207)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E13.1255
Graph:: simple bipartite
	v = 72 e = 144 f = 48
	degree seq :: [ 4^72 ]

E13.1251 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 6})
Quotient :: dipole
Aut^+ = C2 x S3 x S3 (small group id <72, 46>)
Aut   = C2 x C2 x S3 x S3 (small group id <144, 192>)
|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 * Y3 * Y2 * Y1)^2, (Y3 * Y1)^6, (Y2 * Y1 * Y2 * Y1 * Y3 * Y1)^2, (Y2 * Y1)^6 ]
Map:: polytopal non-degenerate
	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, 41, 113)(26, 98, 44, 116)(27, 99, 37, 109)(29, 101, 35, 107)(32, 104, 50, 122)(34, 106, 53, 125)(39, 111, 48, 120)(40, 112, 55, 127)(42, 114, 51, 123)(43, 115, 56, 128)(45, 117, 59, 131)(46, 118, 49, 121)(47, 119, 52, 124)(54, 126, 65, 137)(57, 129, 66, 138)(58, 130, 64, 136)(60, 132, 63, 135)(61, 133, 68, 140)(62, 134, 67, 139)(69, 141, 72, 144)(70, 142, 71, 143)(145, 217, 147, 219)(146, 218, 149, 221)(148, 220, 152, 224)(150, 222, 155, 227)(151, 223, 157, 229)(153, 225, 160, 232)(154, 226, 162, 234)(156, 228, 165, 237)(158, 230, 168, 240)(159, 231, 170, 242)(161, 233, 173, 245)(163, 235, 176, 248)(164, 236, 178, 250)(166, 238, 181, 253)(167, 239, 183, 255)(169, 241, 186, 258)(171, 243, 189, 261)(172, 244, 190, 262)(174, 246, 187, 259)(175, 247, 192, 264)(177, 249, 195, 267)(179, 251, 198, 270)(180, 252, 199, 271)(182, 254, 196, 268)(184, 256, 201, 273)(185, 257, 202, 274)(188, 260, 204, 276)(191, 263, 206, 278)(193, 265, 207, 279)(194, 266, 208, 280)(197, 269, 210, 282)(200, 272, 212, 284)(203, 275, 213, 285)(205, 277, 214, 286)(209, 281, 215, 287)(211, 283, 216, 288)
	L = (1, 148)(2, 150)(3, 152)(4, 145)(5, 155)(6, 146)(7, 158)(8, 147)(9, 161)(10, 163)(11, 149)(12, 166)(13, 168)(14, 151)(15, 171)(16, 173)(17, 153)(18, 176)(19, 154)(20, 179)(21, 181)(22, 156)(23, 184)(24, 157)(25, 187)(26, 189)(27, 159)(28, 191)(29, 160)(30, 186)(31, 193)(32, 162)(33, 196)(34, 198)(35, 164)(36, 200)(37, 165)(38, 195)(39, 201)(40, 167)(41, 203)(42, 174)(43, 169)(44, 205)(45, 170)(46, 206)(47, 172)(48, 207)(49, 175)(50, 209)(51, 182)(52, 177)(53, 211)(54, 178)(55, 212)(56, 180)(57, 183)(58, 213)(59, 185)(60, 214)(61, 188)(62, 190)(63, 192)(64, 215)(65, 194)(66, 216)(67, 197)(68, 199)(69, 202)(70, 204)(71, 208)(72, 210)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E13.1252
Graph:: simple bipartite
	v = 72 e = 144 f = 48
	degree seq :: [ 4^72 ]

E13.1252 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 6})
Quotient :: dipole
Aut^+ = C2 x S3 x S3 (small group id <72, 46>)
Aut   = C2 x C2 x S3 x S3 (small group id <144, 192>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, (R * Y2)^2, (Y1^-1 * Y3)^2, (Y3 * Y2)^2, (R * Y1)^2, (R * Y3)^2, Y1^-1 * Y2 * Y1^2 * Y2 * Y1^-1, Y1^6, Y2 * Y1 * Y2 * Y1^-1 * Y2 * Y1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1 ]
Map:: polytopal non-degenerate
	R = (1, 73, 2, 74, 6, 78, 15, 87, 14, 86, 5, 77)(3, 75, 9, 81, 16, 88, 31, 103, 25, 97, 11, 83)(4, 76, 12, 84, 26, 98, 30, 102, 17, 89, 8, 80)(7, 79, 18, 90, 29, 101, 28, 100, 13, 85, 20, 92)(10, 82, 23, 95, 40, 112, 47, 119, 32, 104, 22, 94)(19, 91, 35, 107, 27, 99, 43, 115, 45, 117, 34, 106)(21, 93, 37, 109, 46, 118, 42, 114, 24, 96, 39, 111)(33, 105, 48, 120, 44, 116, 52, 124, 36, 108, 50, 122)(38, 110, 55, 127, 41, 113, 57, 129, 60, 132, 54, 126)(49, 121, 63, 135, 51, 123, 65, 137, 59, 131, 62, 134)(53, 125, 61, 133, 58, 130, 66, 138, 56, 128, 64, 136)(67, 139, 71, 143, 68, 140, 72, 144, 69, 141, 70, 142)(145, 217, 147, 219)(146, 218, 151, 223)(148, 220, 154, 226)(149, 221, 157, 229)(150, 222, 160, 232)(152, 224, 163, 235)(153, 225, 165, 237)(155, 227, 168, 240)(156, 228, 171, 243)(158, 230, 169, 241)(159, 231, 173, 245)(161, 233, 176, 248)(162, 234, 177, 249)(164, 236, 180, 252)(166, 238, 182, 254)(167, 239, 185, 257)(170, 242, 184, 256)(172, 244, 188, 260)(174, 246, 189, 261)(175, 247, 190, 262)(178, 250, 193, 265)(179, 251, 195, 267)(181, 253, 197, 269)(183, 255, 200, 272)(186, 258, 202, 274)(187, 259, 203, 275)(191, 263, 204, 276)(192, 264, 205, 277)(194, 266, 208, 280)(196, 268, 210, 282)(198, 270, 211, 283)(199, 271, 212, 284)(201, 273, 213, 285)(206, 278, 214, 286)(207, 279, 215, 287)(209, 281, 216, 288)
	L = (1, 148)(2, 152)(3, 154)(4, 145)(5, 156)(6, 161)(7, 163)(8, 146)(9, 166)(10, 147)(11, 167)(12, 149)(13, 171)(14, 170)(15, 174)(16, 176)(17, 150)(18, 178)(19, 151)(20, 179)(21, 182)(22, 153)(23, 155)(24, 185)(25, 184)(26, 158)(27, 157)(28, 187)(29, 189)(30, 159)(31, 191)(32, 160)(33, 193)(34, 162)(35, 164)(36, 195)(37, 198)(38, 165)(39, 199)(40, 169)(41, 168)(42, 201)(43, 172)(44, 203)(45, 173)(46, 204)(47, 175)(48, 206)(49, 177)(50, 207)(51, 180)(52, 209)(53, 211)(54, 181)(55, 183)(56, 212)(57, 186)(58, 213)(59, 188)(60, 190)(61, 214)(62, 192)(63, 194)(64, 215)(65, 196)(66, 216)(67, 197)(68, 200)(69, 202)(70, 205)(71, 208)(72, 210)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 4^4 ), ( 4^12 ) }
Outer automorphisms :: reflexible
Dual of E13.1251
Graph:: simple bipartite
	v = 48 e = 144 f = 72
	degree seq :: [ 4^36, 12^12 ]

E13.1253 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 6})
Quotient :: dipole
Aut^+ = C2 x S3 x S3 (small group id <72, 46>)
Aut   = C2 x C2 x S3 x S3 (small group id <144, 192>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, (R * Y2)^2, (R * Y3)^2, (Y1^-1 * Y3)^2, (Y3 * Y2)^2, (R * Y1)^2, Y1^6, (Y2 * Y1^-3)^2, Y2 * Y1^-1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 73, 2, 74, 6, 78, 15, 87, 14, 86, 5, 77)(3, 75, 9, 81, 21, 93, 32, 104, 26, 98, 11, 83)(4, 76, 12, 84, 27, 99, 33, 105, 17, 89, 8, 80)(7, 79, 18, 90, 37, 109, 31, 103, 42, 114, 20, 92)(10, 82, 24, 96, 47, 119, 54, 126, 44, 116, 23, 95)(13, 85, 29, 101, 36, 108, 16, 88, 34, 106, 30, 102)(19, 91, 40, 112, 62, 134, 51, 123, 60, 132, 39, 111)(22, 94, 38, 110, 55, 127, 50, 122, 64, 136, 46, 118)(25, 97, 41, 113, 58, 130, 43, 115, 59, 131, 49, 121)(28, 100, 52, 124, 56, 128, 35, 107, 57, 129, 53, 125)(45, 117, 66, 138, 72, 144, 67, 139, 69, 141, 61, 133)(48, 120, 68, 140, 71, 143, 65, 137, 70, 142, 63, 135)(145, 217, 147, 219)(146, 218, 151, 223)(148, 220, 154, 226)(149, 221, 157, 229)(150, 222, 160, 232)(152, 224, 163, 235)(153, 225, 166, 238)(155, 227, 169, 241)(156, 228, 172, 244)(158, 230, 175, 247)(159, 231, 176, 248)(161, 233, 179, 251)(162, 234, 182, 254)(164, 236, 185, 257)(165, 237, 187, 259)(167, 239, 189, 261)(168, 240, 192, 264)(170, 242, 194, 266)(171, 243, 195, 267)(173, 245, 190, 262)(174, 246, 193, 265)(177, 249, 198, 270)(178, 250, 199, 271)(180, 252, 202, 274)(181, 253, 203, 275)(183, 255, 205, 277)(184, 256, 207, 279)(186, 258, 208, 280)(188, 260, 209, 281)(191, 263, 211, 283)(196, 268, 212, 284)(197, 269, 210, 282)(200, 272, 213, 285)(201, 273, 214, 286)(204, 276, 215, 287)(206, 278, 216, 288)
	L = (1, 148)(2, 152)(3, 154)(4, 145)(5, 156)(6, 161)(7, 163)(8, 146)(9, 167)(10, 147)(11, 168)(12, 149)(13, 172)(14, 171)(15, 177)(16, 179)(17, 150)(18, 183)(19, 151)(20, 184)(21, 188)(22, 189)(23, 153)(24, 155)(25, 192)(26, 191)(27, 158)(28, 157)(29, 197)(30, 196)(31, 195)(32, 198)(33, 159)(34, 200)(35, 160)(36, 201)(37, 204)(38, 205)(39, 162)(40, 164)(41, 207)(42, 206)(43, 209)(44, 165)(45, 166)(46, 210)(47, 170)(48, 169)(49, 212)(50, 211)(51, 175)(52, 174)(53, 173)(54, 176)(55, 213)(56, 178)(57, 180)(58, 214)(59, 215)(60, 181)(61, 182)(62, 186)(63, 185)(64, 216)(65, 187)(66, 190)(67, 194)(68, 193)(69, 199)(70, 202)(71, 203)(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) :: { ( 4^4 ), ( 4^12 ) }
Outer automorphisms :: reflexible
Dual of E13.1249
Graph:: simple bipartite
	v = 48 e = 144 f = 72
	degree seq :: [ 4^36, 12^12 ]

E13.1254 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 6})
Quotient :: dipole
Aut^+ = C2 x S3 x S3 (small group id <72, 46>)
Aut   = C2 x C2 x S3 x S3 (small group id <144, 192>)
|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^-1)^2, Y1^6, 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, 73, 2, 74, 6, 78, 15, 87, 14, 86, 5, 77)(3, 75, 9, 81, 21, 93, 32, 104, 16, 88, 11, 83)(4, 76, 12, 84, 26, 98, 30, 102, 17, 89, 8, 80)(7, 79, 18, 90, 13, 85, 28, 100, 29, 101, 20, 92)(10, 82, 24, 96, 31, 103, 46, 118, 37, 109, 23, 95)(19, 91, 35, 107, 45, 117, 43, 115, 27, 99, 34, 106)(22, 94, 38, 110, 25, 97, 42, 114, 47, 119, 40, 112)(33, 105, 48, 120, 36, 108, 52, 124, 44, 116, 50, 122)(39, 111, 55, 127, 60, 132, 57, 129, 41, 113, 54, 126)(49, 121, 63, 135, 59, 131, 65, 137, 51, 123, 62, 134)(53, 125, 64, 136, 56, 128, 66, 138, 58, 130, 61, 133)(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, 157, 229)(150, 222, 160, 232)(152, 224, 163, 235)(153, 225, 166, 238)(155, 227, 169, 241)(156, 228, 171, 243)(158, 230, 165, 237)(159, 231, 173, 245)(161, 233, 175, 247)(162, 234, 177, 249)(164, 236, 180, 252)(167, 239, 183, 255)(168, 240, 185, 257)(170, 242, 181, 253)(172, 244, 188, 260)(174, 246, 189, 261)(176, 248, 191, 263)(178, 250, 193, 265)(179, 251, 195, 267)(182, 254, 197, 269)(184, 256, 200, 272)(186, 258, 202, 274)(187, 259, 203, 275)(190, 262, 204, 276)(192, 264, 205, 277)(194, 266, 208, 280)(196, 268, 210, 282)(198, 270, 211, 283)(199, 271, 212, 284)(201, 273, 213, 285)(206, 278, 214, 286)(207, 279, 215, 287)(209, 281, 216, 288)
	L = (1, 148)(2, 152)(3, 154)(4, 145)(5, 156)(6, 161)(7, 163)(8, 146)(9, 167)(10, 147)(11, 168)(12, 149)(13, 171)(14, 170)(15, 174)(16, 175)(17, 150)(18, 178)(19, 151)(20, 179)(21, 181)(22, 183)(23, 153)(24, 155)(25, 185)(26, 158)(27, 157)(28, 187)(29, 189)(30, 159)(31, 160)(32, 190)(33, 193)(34, 162)(35, 164)(36, 195)(37, 165)(38, 198)(39, 166)(40, 199)(41, 169)(42, 201)(43, 172)(44, 203)(45, 173)(46, 176)(47, 204)(48, 206)(49, 177)(50, 207)(51, 180)(52, 209)(53, 211)(54, 182)(55, 184)(56, 212)(57, 186)(58, 213)(59, 188)(60, 191)(61, 214)(62, 192)(63, 194)(64, 215)(65, 196)(66, 216)(67, 197)(68, 200)(69, 202)(70, 205)(71, 208)(72, 210)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 4^4 ), ( 4^12 ) }
Outer automorphisms :: reflexible
Dual of E13.1248
Graph:: simple bipartite
	v = 48 e = 144 f = 72
	degree seq :: [ 4^36, 12^12 ]

E13.1255 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 6})
Quotient :: dipole
Aut^+ = C2 x S3 x S3 (small group id <72, 46>)
Aut   = C2 x C2 x S3 x S3 (small group id <144, 192>)
|r| :: 2
Presentation :: [ Y2^2, R^2, (Y1^-1 * Y3^-1)^2, Y3^2 * Y1^2, (Y3 * Y2)^2, (Y3^-1, Y1^-1), (R * Y1)^2, (R * Y3)^2, (Y1^-1 * Y3 * Y1^-1)^2, (Y3 * Y1^-1 * Y3)^2, (R * Y2 * Y3^-1)^2, (Y1^-1 * Y2 * Y1^-1)^2, Y3^-1 * Y1 * Y3^-1 * Y1^3, 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, 73, 2, 74, 7, 79, 18, 90, 15, 87, 5, 77)(3, 75, 11, 83, 25, 97, 35, 107, 19, 91, 13, 85)(4, 76, 9, 81, 6, 78, 10, 82, 20, 92, 16, 88)(8, 80, 21, 93, 17, 89, 32, 104, 33, 105, 23, 95)(12, 84, 27, 99, 14, 86, 28, 100, 34, 106, 29, 101)(22, 94, 37, 109, 24, 96, 38, 110, 31, 103, 39, 111)(26, 98, 41, 113, 30, 102, 46, 118, 48, 120, 43, 115)(36, 108, 49, 121, 40, 112, 54, 126, 47, 119, 51, 123)(42, 114, 56, 128, 44, 116, 57, 129, 45, 117, 58, 130)(50, 122, 62, 134, 52, 124, 63, 135, 53, 125, 64, 136)(55, 127, 65, 137, 59, 131, 66, 138, 60, 132, 61, 133)(67, 139, 71, 143, 68, 140, 72, 144, 69, 141, 70, 142)(145, 217, 147, 219)(146, 218, 152, 224)(148, 220, 158, 230)(149, 221, 161, 233)(150, 222, 156, 228)(151, 223, 163, 235)(153, 225, 168, 240)(154, 226, 166, 238)(155, 227, 170, 242)(157, 229, 174, 246)(159, 231, 169, 241)(160, 232, 175, 247)(162, 234, 177, 249)(164, 236, 178, 250)(165, 237, 180, 252)(167, 239, 184, 256)(171, 243, 188, 260)(172, 244, 186, 258)(173, 245, 189, 261)(176, 248, 191, 263)(179, 251, 192, 264)(181, 253, 196, 268)(182, 254, 194, 266)(183, 255, 197, 269)(185, 257, 199, 271)(187, 259, 203, 275)(190, 262, 204, 276)(193, 265, 205, 277)(195, 267, 209, 281)(198, 270, 210, 282)(200, 272, 212, 284)(201, 273, 211, 283)(202, 274, 213, 285)(206, 278, 215, 287)(207, 279, 214, 286)(208, 280, 216, 288)
	L = (1, 148)(2, 153)(3, 156)(4, 159)(5, 160)(6, 145)(7, 150)(8, 166)(9, 149)(10, 146)(11, 171)(12, 163)(13, 173)(14, 147)(15, 164)(16, 162)(17, 168)(18, 154)(19, 178)(20, 151)(21, 181)(22, 177)(23, 183)(24, 152)(25, 158)(26, 186)(27, 157)(28, 155)(29, 179)(30, 188)(31, 161)(32, 182)(33, 175)(34, 169)(35, 172)(36, 194)(37, 167)(38, 165)(39, 176)(40, 196)(41, 200)(42, 192)(43, 202)(44, 170)(45, 174)(46, 201)(47, 197)(48, 189)(49, 206)(50, 191)(51, 208)(52, 180)(53, 184)(54, 207)(55, 211)(56, 187)(57, 185)(58, 190)(59, 212)(60, 213)(61, 214)(62, 195)(63, 193)(64, 198)(65, 215)(66, 216)(67, 204)(68, 199)(69, 203)(70, 210)(71, 205)(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) :: { ( 4^4 ), ( 4^12 ) }
Outer automorphisms :: reflexible
Dual of E13.1250
Graph:: simple bipartite
	v = 48 e = 144 f = 72
	degree seq :: [ 4^36, 12^12 ]

E13.1256 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {4, 4, 6})
Quotient :: edge
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 :: [ F^2, T1^4, (F * T2)^2, (F * T1)^2, T1^4, (T1 * T2 * T1)^2, T2^6, T2^-3 * T1 * T2^-3 * T1^-1, T2 * T1 * T2 * T1^-1 * T2^-1 * T1 * T2^-1 * T1^-1 ]
Map:: polytopal 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, 90, 83)(77, 86, 89, 87)(79, 91, 85, 93)(80, 94, 84, 95)(82, 99, 113, 101)(88, 110, 112, 111)(92, 116, 105, 118)(96, 125, 104, 126)(97, 115, 103, 119)(98, 122, 102, 123)(100, 117, 136, 131)(106, 114, 109, 120)(107, 121, 108, 124)(127, 140, 135, 141)(128, 137, 134, 144)(129, 138, 133, 143)(130, 139, 132, 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) :: { ( 8^4 ), ( 8^6 ) }
Outer automorphisms :: reflexible
Dual of E13.1257
Transitivity :: ET+
Graph:: simple bipartite
	v = 30 e = 72 f = 18
	degree seq :: [ 4^18, 6^12 ]

E13.1257 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {4, 4, 6})
Quotient :: loop
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 :: [ F^2, (F * T2)^2, (F * T1)^2, T2^4, (T2 * T1^-1)^2, T1^4, T2 * T1 * T2 * T1 * T2^2 * T1^-2 * T2^-1 * T1^-1 * T2^-1 * T1^-1, T2 * T1 * T2 * T1 * T2^-2 * T1 * T2 * T1 * T2 * T1^-2, (T2^-1 * T1^-1)^6 ]
Map:: polytopal non-degenerate
	R = (1, 73, 3, 75, 10, 82, 5, 77)(2, 74, 7, 79, 17, 89, 8, 80)(4, 76, 11, 83, 23, 95, 12, 84)(6, 78, 14, 86, 27, 99, 15, 87)(9, 81, 19, 91, 34, 106, 20, 92)(13, 85, 21, 93, 36, 108, 25, 97)(16, 88, 29, 101, 47, 119, 30, 102)(18, 90, 31, 103, 49, 121, 32, 104)(22, 94, 37, 109, 57, 129, 38, 110)(24, 96, 39, 111, 59, 131, 40, 112)(26, 98, 42, 114, 63, 135, 43, 115)(28, 100, 44, 116, 65, 137, 45, 117)(33, 105, 51, 123, 66, 138, 52, 124)(35, 107, 53, 125, 64, 136, 54, 126)(41, 113, 55, 127, 62, 134, 61, 133)(46, 118, 67, 139, 60, 132, 68, 140)(48, 120, 69, 141, 58, 130, 70, 142)(50, 122, 71, 143, 56, 128, 72, 144)
	L = (1, 74)(2, 78)(3, 81)(4, 73)(5, 83)(6, 76)(7, 88)(8, 75)(9, 90)(10, 93)(11, 94)(12, 86)(13, 77)(14, 98)(15, 79)(16, 100)(17, 103)(18, 80)(19, 105)(20, 82)(21, 107)(22, 85)(23, 111)(24, 84)(25, 109)(26, 96)(27, 116)(28, 87)(29, 118)(30, 89)(31, 120)(32, 91)(33, 122)(34, 125)(35, 92)(36, 127)(37, 128)(38, 95)(39, 130)(40, 114)(41, 97)(42, 134)(43, 99)(44, 136)(45, 101)(46, 138)(47, 141)(48, 102)(49, 143)(50, 104)(51, 139)(52, 106)(53, 137)(54, 108)(55, 135)(56, 113)(57, 142)(58, 110)(59, 140)(60, 112)(61, 144)(62, 132)(63, 126)(64, 115)(65, 124)(66, 117)(67, 133)(68, 119)(69, 131)(70, 121)(71, 129)(72, 123)
	local type(s) :: { ( 4, 6, 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible
Dual of E13.1256
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 18 e = 72 f = 30
	degree seq :: [ 8^18 ]

E13.1258 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 6})
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 * Y2^-1, R * Y2 * R * Y3, (R * Y1)^2, Y1^4, (Y2 * Y1^-2)^2, Y2^6, Y2^-3 * Y1 * Y2^-3 * Y1^-1, Y2 * Y1 * Y2 * Y1^-1 * Y2^-1 * Y1 * Y2^-1 * Y1^-1, (Y3^-1 * Y1^-1)^4 ]
Map::
	R = (1, 73, 2, 74, 6, 78, 4, 76)(3, 75, 9, 81, 18, 90, 11, 83)(5, 77, 14, 86, 17, 89, 15, 87)(7, 79, 19, 91, 13, 85, 21, 93)(8, 80, 22, 94, 12, 84, 23, 95)(10, 82, 27, 99, 41, 113, 29, 101)(16, 88, 38, 110, 40, 112, 39, 111)(20, 92, 44, 116, 33, 105, 46, 118)(24, 96, 53, 125, 32, 104, 54, 126)(25, 97, 43, 115, 31, 103, 47, 119)(26, 98, 50, 122, 30, 102, 51, 123)(28, 100, 45, 117, 64, 136, 59, 131)(34, 106, 42, 114, 37, 109, 48, 120)(35, 107, 49, 121, 36, 108, 52, 124)(55, 127, 68, 140, 63, 135, 69, 141)(56, 128, 65, 137, 62, 134, 72, 144)(57, 129, 66, 138, 61, 133, 71, 143)(58, 130, 67, 139, 60, 132, 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, 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, 184)(18, 150)(19, 186)(20, 189)(21, 191)(22, 193)(23, 195)(24, 152)(25, 199)(26, 153)(27, 201)(28, 160)(29, 204)(30, 206)(31, 155)(32, 203)(33, 157)(34, 202)(35, 158)(36, 205)(37, 159)(38, 200)(39, 207)(40, 208)(41, 162)(42, 209)(43, 163)(44, 211)(45, 168)(46, 213)(47, 215)(48, 165)(49, 212)(50, 166)(51, 214)(52, 167)(53, 210)(54, 216)(55, 182)(56, 170)(57, 179)(58, 171)(59, 177)(60, 181)(61, 173)(62, 183)(63, 175)(64, 185)(65, 197)(66, 187)(67, 194)(68, 188)(69, 196)(70, 190)(71, 198)(72, 192)(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 ) }
Outer automorphisms :: reflexible
Dual of E13.1259
Graph:: bipartite
	v = 30 e = 144 f = 90
	degree seq :: [ 8^18, 12^12 ]

E13.1259 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 6})
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, R^2, (R * Y3)^2, (R * Y1)^2, Y2^4, (R * Y2 * Y3^-1)^2, (Y3 * Y2^-2)^2, (Y3 * Y2 * Y3^-1 * Y2)^2, Y3 * Y2 * Y3^-1 * Y2^-1 * Y3^-1 * Y2 * Y3 * Y2^-1, Y2^-1 * Y3^3 * Y2 * Y3^-3, (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, 148, 220)(147, 219, 153, 225, 162, 234, 155, 227)(149, 221, 158, 230, 161, 233, 159, 231)(151, 223, 163, 235, 157, 229, 165, 237)(152, 224, 166, 238, 156, 228, 167, 239)(154, 226, 171, 243, 185, 257, 173, 245)(160, 232, 182, 254, 184, 256, 183, 255)(164, 236, 188, 260, 177, 249, 190, 262)(168, 240, 197, 269, 176, 248, 198, 270)(169, 241, 187, 259, 175, 247, 191, 263)(170, 242, 194, 266, 174, 246, 195, 267)(172, 244, 189, 261, 208, 280, 203, 275)(178, 250, 186, 258, 181, 253, 192, 264)(179, 251, 193, 265, 180, 252, 196, 268)(199, 271, 212, 284, 207, 279, 213, 285)(200, 272, 209, 281, 206, 278, 216, 288)(201, 273, 210, 282, 205, 277, 215, 287)(202, 274, 211, 283, 204, 276, 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, 184)(18, 150)(19, 186)(20, 189)(21, 191)(22, 193)(23, 195)(24, 152)(25, 199)(26, 153)(27, 201)(28, 160)(29, 204)(30, 206)(31, 155)(32, 203)(33, 157)(34, 202)(35, 158)(36, 205)(37, 159)(38, 200)(39, 207)(40, 208)(41, 162)(42, 209)(43, 163)(44, 211)(45, 168)(46, 213)(47, 215)(48, 165)(49, 212)(50, 166)(51, 214)(52, 167)(53, 210)(54, 216)(55, 182)(56, 170)(57, 179)(58, 171)(59, 177)(60, 181)(61, 173)(62, 183)(63, 175)(64, 185)(65, 197)(66, 187)(67, 194)(68, 188)(69, 196)(70, 190)(71, 198)(72, 192)(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 ) }
Outer automorphisms :: reflexible
Dual of E13.1258
Graph:: simple bipartite
	v = 90 e = 144 f = 30
	degree seq :: [ 2^72, 8^18 ]

E13.1260 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {3, 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, T1^3, (T2 * T1^-1)^2, (F * T2)^2, (F * T1)^2, T2^6, T2^2 * T1 * T2^-3 * T1^-1 * T2^-1 * T1^-1 * T2^-2 * T1^-1, (T2^-1 * T1^-1)^6 ]
Map:: polytopal non-degenerate
	R = (1, 3, 9, 20, 13, 5)(2, 6, 15, 29, 16, 7)(4, 10, 21, 37, 22, 11)(8, 17, 31, 49, 32, 18)(12, 23, 39, 59, 40, 24)(14, 26, 42, 63, 43, 27)(19, 33, 51, 64, 52, 34)(25, 35, 53, 62, 61, 41)(28, 44, 65, 60, 66, 45)(30, 46, 67, 58, 68, 47)(36, 54, 72, 50, 71, 55)(38, 56, 70, 48, 69, 57)(73, 74, 76)(75, 80, 79)(77, 82, 84)(78, 86, 83)(81, 91, 90)(85, 95, 97)(87, 100, 99)(88, 89, 102)(92, 107, 106)(93, 108, 96)(94, 98, 110)(101, 118, 117)(103, 120, 119)(104, 105, 122)(109, 128, 127)(111, 130, 113)(112, 126, 132)(114, 134, 129)(115, 116, 136)(121, 143, 142)(123, 137, 144)(124, 125, 135)(131, 138, 139)(133, 140, 141)
	L = (1, 73)(2, 74)(3, 75)(4, 76)(5, 77)(6, 78)(7, 79)(8, 80)(9, 81)(10, 82)(11, 83)(12, 84)(13, 85)(14, 86)(15, 87)(16, 88)(17, 89)(18, 90)(19, 91)(20, 92)(21, 93)(22, 94)(23, 95)(24, 96)(25, 97)(26, 98)(27, 99)(28, 100)(29, 101)(30, 102)(31, 103)(32, 104)(33, 105)(34, 106)(35, 107)(36, 108)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 12^3 ), ( 12^6 ) }
Outer automorphisms :: reflexible
Dual of E13.1261
Transitivity :: ET+
Graph:: simple bipartite
	v = 36 e = 72 f = 12
	degree seq :: [ 3^24, 6^12 ]

E13.1261 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {3, 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, T1^3, (T2 * T1^-1)^2, (F * T2)^2, (F * T1)^2, T2^6, T2^2 * T1 * T2^-3 * T1^-1 * T2^-1 * T1^-1 * T2^-2 * T1^-1, (T2^-1 * T1^-1)^6 ]
Map:: polytopal non-degenerate
	R = (1, 73, 3, 75, 9, 81, 20, 92, 13, 85, 5, 77)(2, 74, 6, 78, 15, 87, 29, 101, 16, 88, 7, 79)(4, 76, 10, 82, 21, 93, 37, 109, 22, 94, 11, 83)(8, 80, 17, 89, 31, 103, 49, 121, 32, 104, 18, 90)(12, 84, 23, 95, 39, 111, 59, 131, 40, 112, 24, 96)(14, 86, 26, 98, 42, 114, 63, 135, 43, 115, 27, 99)(19, 91, 33, 105, 51, 123, 64, 136, 52, 124, 34, 106)(25, 97, 35, 107, 53, 125, 62, 134, 61, 133, 41, 113)(28, 100, 44, 116, 65, 137, 60, 132, 66, 138, 45, 117)(30, 102, 46, 118, 67, 139, 58, 130, 68, 140, 47, 119)(36, 108, 54, 126, 72, 144, 50, 122, 71, 143, 55, 127)(38, 110, 56, 128, 70, 142, 48, 120, 69, 141, 57, 129)
	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, 100)(16, 89)(17, 102)(18, 81)(19, 90)(20, 107)(21, 108)(22, 98)(23, 97)(24, 93)(25, 85)(26, 110)(27, 87)(28, 99)(29, 118)(30, 88)(31, 120)(32, 105)(33, 122)(34, 92)(35, 106)(36, 96)(37, 128)(38, 94)(39, 130)(40, 126)(41, 111)(42, 134)(43, 116)(44, 136)(45, 101)(46, 117)(47, 103)(48, 119)(49, 143)(50, 104)(51, 137)(52, 125)(53, 135)(54, 132)(55, 109)(56, 127)(57, 114)(58, 113)(59, 138)(60, 112)(61, 140)(62, 129)(63, 124)(64, 115)(65, 144)(66, 139)(67, 131)(68, 141)(69, 133)(70, 121)(71, 142)(72, 123)
	local type(s) :: { ( 3, 6, 3, 6, 3, 6, 3, 6, 3, 6, 3, 6 ) }
Outer automorphisms :: reflexible
Dual of E13.1260
Transitivity :: ET+ VT+ AT
Graph::
	v = 12 e = 72 f = 36
	degree seq :: [ 12^12 ]

E13.1262 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 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, Y3 * Y1, Y3^-1 * Y1 * Y3^-1, Y1^3, Y2^-1 * Y3^-1 * Y2^-1 * Y1, (Y2^-1 * Y1)^2, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, Y2^6, Y3 * Y2^2 * Y1 * Y2^-3 * Y3^-1 * Y2 * Y1 * Y2^-2, (Y3 * Y2^-1)^6 ]
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, 28, 100, 27, 99)(16, 88, 17, 89, 30, 102)(20, 92, 35, 107, 34, 106)(21, 93, 36, 108, 24, 96)(22, 94, 26, 98, 38, 110)(29, 101, 46, 118, 45, 117)(31, 103, 48, 120, 47, 119)(32, 104, 33, 105, 50, 122)(37, 109, 56, 128, 55, 127)(39, 111, 58, 130, 41, 113)(40, 112, 54, 126, 60, 132)(42, 114, 62, 134, 57, 129)(43, 115, 44, 116, 64, 136)(49, 121, 71, 143, 70, 142)(51, 123, 65, 137, 72, 144)(52, 124, 53, 125, 63, 135)(59, 131, 66, 138, 67, 139)(61, 133, 68, 140, 69, 141)(145, 217, 147, 219, 153, 225, 164, 236, 157, 229, 149, 221)(146, 218, 150, 222, 159, 231, 173, 245, 160, 232, 151, 223)(148, 220, 154, 226, 165, 237, 181, 253, 166, 238, 155, 227)(152, 224, 161, 233, 175, 247, 193, 265, 176, 248, 162, 234)(156, 228, 167, 239, 183, 255, 203, 275, 184, 256, 168, 240)(158, 230, 170, 242, 186, 258, 207, 279, 187, 259, 171, 243)(163, 235, 177, 249, 195, 267, 208, 280, 196, 268, 178, 250)(169, 241, 179, 251, 197, 269, 206, 278, 205, 277, 185, 257)(172, 244, 188, 260, 209, 281, 204, 276, 210, 282, 189, 261)(174, 246, 190, 262, 211, 283, 202, 274, 212, 284, 191, 263)(180, 252, 198, 270, 216, 288, 194, 266, 215, 287, 199, 271)(182, 254, 200, 272, 214, 286, 192, 264, 213, 285, 201, 273)
	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, 171)(16, 174)(17, 160)(18, 163)(19, 153)(20, 178)(21, 168)(22, 182)(23, 157)(24, 180)(25, 167)(26, 166)(27, 172)(28, 159)(29, 189)(30, 161)(31, 191)(32, 194)(33, 176)(34, 179)(35, 164)(36, 165)(37, 199)(38, 170)(39, 185)(40, 204)(41, 202)(42, 201)(43, 208)(44, 187)(45, 190)(46, 173)(47, 192)(48, 175)(49, 214)(50, 177)(51, 216)(52, 207)(53, 196)(54, 184)(55, 200)(56, 181)(57, 206)(58, 183)(59, 211)(60, 198)(61, 213)(62, 186)(63, 197)(64, 188)(65, 195)(66, 203)(67, 210)(68, 205)(69, 212)(70, 215)(71, 193)(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, 12, 2, 12, 2, 12 ), ( 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12 ) }
Outer automorphisms :: reflexible
Dual of E13.1263
Graph:: bipartite
	v = 36 e = 144 f = 84
	degree seq :: [ 6^24, 12^12 ]

E13.1263 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 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 :: [ Y2, R^2, Y3^3, (Y1^-1 * Y3)^2, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y1^6, (Y3 * Y2^-1)^3, Y3 * Y1^2 * Y3 * Y1 * Y3 * Y1^3 * Y3^-1 * Y1^-2, (Y3^-1 * Y1^-1)^6 ]
Map:: polytopal
	R = (1, 73, 2, 74, 6, 78, 14, 86, 11, 83, 4, 76)(3, 75, 9, 81, 19, 91, 32, 104, 18, 90, 8, 80)(5, 77, 10, 82, 21, 93, 36, 108, 25, 97, 13, 85)(7, 79, 17, 89, 30, 102, 46, 118, 29, 101, 16, 88)(12, 84, 22, 94, 38, 110, 57, 129, 40, 112, 24, 96)(15, 87, 28, 100, 44, 116, 64, 136, 43, 115, 27, 99)(20, 92, 35, 107, 53, 125, 63, 135, 52, 124, 34, 106)(23, 95, 26, 98, 42, 114, 62, 134, 59, 131, 39, 111)(31, 103, 49, 121, 71, 143, 58, 130, 70, 142, 48, 120)(33, 105, 51, 123, 65, 137, 60, 132, 72, 144, 50, 122)(37, 109, 56, 128, 66, 138, 45, 117, 67, 139, 55, 127)(41, 113, 54, 126, 68, 140, 47, 119, 69, 141, 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, 149)(4, 154)(5, 145)(6, 159)(7, 152)(8, 146)(9, 164)(10, 156)(11, 166)(12, 148)(13, 153)(14, 170)(15, 160)(16, 150)(17, 175)(18, 161)(19, 177)(20, 157)(21, 181)(22, 167)(23, 155)(24, 165)(25, 179)(26, 171)(27, 158)(28, 189)(29, 172)(30, 191)(31, 162)(32, 193)(33, 178)(34, 163)(35, 185)(36, 198)(37, 168)(38, 202)(39, 182)(40, 200)(41, 169)(42, 207)(43, 186)(44, 209)(45, 173)(46, 211)(47, 192)(48, 174)(49, 194)(50, 176)(51, 208)(52, 195)(53, 206)(54, 199)(55, 180)(56, 204)(57, 216)(58, 183)(59, 214)(60, 184)(61, 197)(62, 205)(63, 187)(64, 196)(65, 210)(66, 188)(67, 212)(68, 190)(69, 203)(70, 213)(71, 201)(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) :: { ( 6, 12 ), ( 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12 ) }
Outer automorphisms :: reflexible
Dual of E13.1262
Graph:: simple bipartite
	v = 84 e = 144 f = 36
	degree seq :: [ 2^72, 12^12 ]

E13.1264 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {3, 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, T1^3, (F * T2)^2, (F * T1)^2, T2 * T1 * T2^-2 * T1^-1 * T2, T2^6, (T2, T1^-1)^2, (T2^-1 * T1^-1)^6 ]
Map:: polytopal non-degenerate
	R = (1, 3, 9, 24, 15, 5)(2, 6, 17, 37, 21, 7)(4, 11, 25, 46, 32, 12)(8, 22, 43, 33, 13, 23)(10, 26, 45, 34, 14, 27)(16, 35, 58, 40, 19, 36)(18, 38, 60, 41, 20, 39)(28, 47, 65, 53, 30, 49)(29, 51, 66, 54, 31, 52)(42, 62, 55, 64, 44, 63)(48, 67, 56, 69, 50, 68)(57, 70, 61, 72, 59, 71)(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, 114, 110)(95, 116, 111)(96, 115, 117)(98, 119, 120)(99, 121, 122)(105, 127, 113)(106, 125, 128)(107, 129, 123)(108, 131, 124)(109, 130, 132)(112, 133, 126)(118, 137, 138)(134, 142, 139)(135, 143, 140)(136, 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) :: { ( 12^3 ), ( 12^6 ) }
Outer automorphisms :: reflexible
Dual of E13.1270
Transitivity :: ET+
Graph:: simple bipartite
	v = 36 e = 72 f = 12
	degree seq :: [ 3^24, 6^12 ]

E13.1265 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {3, 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, T1^3, (F * T2)^2, (F * T1)^2, T2^6, T2^-1 * T1^-1 * T2^2 * T1^-1 * T2^-1 * T1^-1, T2 * T1 * T2^-1 * T1 * T2^-1 * T1^-1 * T2 * T1^-1 ]
Map:: non-degenerate
	R = (1, 3, 9, 25, 15, 5)(2, 6, 17, 42, 21, 7)(4, 11, 30, 55, 34, 12)(8, 22, 51, 39, 33, 23)(10, 27, 57, 40, 59, 28)(13, 35, 54, 24, 53, 36)(14, 37, 16, 26, 56, 38)(18, 44, 67, 50, 68, 45)(19, 46, 65, 41, 64, 47)(20, 48, 29, 43, 66, 49)(31, 58, 71, 63, 72, 60)(32, 61, 70, 52, 69, 62)(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, 113, 115)(93, 110, 122)(94, 102, 124)(95, 118, 117)(97, 114, 127)(99, 116, 130)(100, 120, 107)(106, 121, 135)(108, 119, 134)(109, 133, 132)(123, 136, 139)(125, 129, 138)(126, 137, 142)(128, 141, 143)(131, 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) :: { ( 12^3 ), ( 12^6 ) }
Outer automorphisms :: reflexible
Dual of E13.1269
Transitivity :: ET+
Graph:: simple bipartite
	v = 36 e = 72 f = 12
	degree seq :: [ 3^24, 6^12 ]

E13.1266 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {3, 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, T1^3, (F * T2)^2, (F * T1)^2, T2^6, T2^-1 * T1 * T2^2 * T1 * T2^-1 * T1, (T1, T2)^2, T2 * T1 * T2 * T1 * T2^-1 * T1^-1 * T2^-1 * T1^-1, (T1^-1 * T2^-1)^6 ]
Map:: polytopal non-degenerate
	R = (1, 3, 9, 25, 15, 5)(2, 6, 17, 43, 21, 7)(4, 11, 30, 55, 34, 12)(8, 22, 51, 39, 53, 23)(10, 27, 58, 40, 19, 28)(13, 35, 31, 24, 54, 36)(14, 37, 57, 26, 56, 38)(16, 41, 64, 49, 65, 42)(18, 45, 68, 50, 32, 46)(20, 47, 67, 44, 66, 48)(29, 52, 69, 63, 70, 59)(33, 60, 71, 61, 72, 62)(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, 99, 116)(93, 121, 122)(94, 113, 124)(95, 109, 118)(97, 115, 127)(100, 131, 132)(102, 117, 133)(106, 135, 108)(107, 114, 119)(110, 120, 134)(123, 128, 140)(125, 137, 142)(126, 136, 138)(129, 139, 143)(130, 141, 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) :: { ( 12^3 ), ( 12^6 ) }
Outer automorphisms :: reflexible
Dual of E13.1268
Transitivity :: ET+
Graph:: simple bipartite
	v = 36 e = 72 f = 12
	degree seq :: [ 3^24, 6^12 ]

E13.1267 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {3, 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^-1 * T1^-1)^3, T1 * T2^-1 * T1^-2 * T2 * T1, T1^6, (T2 * T1^-1)^3, T2^6, T2^2 * T1^-1 * T2^2 * T1^-1 * T2^-1 * T1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 3, 10, 30, 17, 5)(2, 7, 22, 50, 26, 8)(4, 12, 34, 61, 37, 14)(6, 19, 45, 68, 47, 20)(9, 27, 57, 40, 58, 28)(11, 24, 53, 41, 49, 33)(13, 32, 62, 71, 63, 36)(15, 38, 60, 29, 59, 35)(16, 39, 55, 31, 48, 21)(18, 42, 64, 72, 65, 43)(23, 46, 69, 56, 67, 52)(25, 54, 70, 51, 66, 44)(73, 74, 78, 90, 85, 76)(75, 81, 91, 116, 104, 83)(77, 87, 92, 118, 108, 88)(79, 93, 114, 107, 84, 95)(80, 96, 115, 99, 86, 97)(82, 101, 117, 139, 134, 103)(89, 112, 119, 142, 135, 113)(94, 121, 136, 130, 106, 123)(98, 127, 137, 132, 109, 128)(100, 120, 138, 131, 105, 124)(102, 122, 140, 144, 143, 133)(110, 125, 141, 129, 111, 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) :: { ( 6^6 ) }
Outer automorphisms :: reflexible
Dual of E13.1271
Transitivity :: ET+
Graph:: simple bipartite
	v = 24 e = 72 f = 24
	degree seq :: [ 6^24 ]

E13.1268 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {3, 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, T1^3, (F * T2)^2, (F * T1)^2, T2 * T1 * T2^-2 * T1^-1 * T2, T2^6, (T2, T1^-1)^2, (T2^-1 * T1^-1)^6 ]
Map:: polytopal non-degenerate
	R = (1, 73, 3, 75, 9, 81, 24, 96, 15, 87, 5, 77)(2, 74, 6, 78, 17, 89, 37, 109, 21, 93, 7, 79)(4, 76, 11, 83, 25, 97, 46, 118, 32, 104, 12, 84)(8, 80, 22, 94, 43, 115, 33, 105, 13, 85, 23, 95)(10, 82, 26, 98, 45, 117, 34, 106, 14, 86, 27, 99)(16, 88, 35, 107, 58, 130, 40, 112, 19, 91, 36, 108)(18, 90, 38, 110, 60, 132, 41, 113, 20, 92, 39, 111)(28, 100, 47, 119, 65, 137, 53, 125, 30, 102, 49, 121)(29, 101, 51, 123, 66, 138, 54, 126, 31, 103, 52, 124)(42, 114, 62, 134, 55, 127, 64, 136, 44, 116, 63, 135)(48, 120, 67, 139, 56, 128, 69, 141, 50, 122, 68, 140)(57, 129, 70, 142, 61, 133, 72, 144, 59, 131, 71, 143)
	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, 114)(23, 116)(24, 115)(25, 81)(26, 119)(27, 121)(28, 101)(29, 83)(30, 103)(31, 84)(32, 87)(33, 127)(34, 125)(35, 129)(36, 131)(37, 130)(38, 94)(39, 95)(40, 133)(41, 105)(42, 110)(43, 117)(44, 111)(45, 96)(46, 137)(47, 120)(48, 98)(49, 122)(50, 99)(51, 107)(52, 108)(53, 128)(54, 112)(55, 113)(56, 106)(57, 123)(58, 132)(59, 124)(60, 109)(61, 126)(62, 142)(63, 143)(64, 144)(65, 138)(66, 118)(67, 134)(68, 135)(69, 136)(70, 139)(71, 140)(72, 141)
	local type(s) :: { ( 3, 6, 3, 6, 3, 6, 3, 6, 3, 6, 3, 6 ) }
Outer automorphisms :: reflexible
Dual of E13.1266
Transitivity :: ET+ VT+ AT
Graph::
	v = 12 e = 72 f = 36
	degree seq :: [ 12^12 ]

E13.1269 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {3, 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, T1^3, (F * T2)^2, (F * T1)^2, T2^6, T2^-1 * T1^-1 * T2^2 * T1^-1 * T2^-1 * T1^-1, T2 * T1 * T2^-1 * T1 * T2^-1 * T1^-1 * T2 * T1^-1 ]
Map:: non-degenerate
	R = (1, 73, 3, 75, 9, 81, 25, 97, 15, 87, 5, 77)(2, 74, 6, 78, 17, 89, 42, 114, 21, 93, 7, 79)(4, 76, 11, 83, 30, 102, 55, 127, 34, 106, 12, 84)(8, 80, 22, 94, 51, 123, 39, 111, 33, 105, 23, 95)(10, 82, 27, 99, 57, 129, 40, 112, 59, 131, 28, 100)(13, 85, 35, 107, 54, 126, 24, 96, 53, 125, 36, 108)(14, 86, 37, 109, 16, 88, 26, 98, 56, 128, 38, 110)(18, 90, 44, 116, 67, 139, 50, 122, 68, 140, 45, 117)(19, 91, 46, 118, 65, 137, 41, 113, 64, 136, 47, 119)(20, 92, 48, 120, 29, 101, 43, 115, 66, 138, 49, 121)(31, 103, 58, 130, 71, 143, 63, 135, 72, 144, 60, 132)(32, 104, 61, 133, 70, 142, 52, 124, 69, 141, 62, 134)
	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, 113)(18, 78)(19, 92)(20, 79)(21, 110)(22, 102)(23, 118)(24, 98)(25, 114)(26, 81)(27, 116)(28, 120)(29, 103)(30, 124)(31, 83)(32, 105)(33, 84)(34, 121)(35, 100)(36, 119)(37, 133)(38, 122)(39, 112)(40, 87)(41, 115)(42, 127)(43, 89)(44, 130)(45, 95)(46, 117)(47, 134)(48, 107)(49, 135)(50, 93)(51, 136)(52, 94)(53, 129)(54, 137)(55, 97)(56, 141)(57, 138)(58, 99)(59, 140)(60, 109)(61, 132)(62, 108)(63, 106)(64, 139)(65, 142)(66, 125)(67, 123)(68, 144)(69, 143)(70, 126)(71, 128)(72, 131)
	local type(s) :: { ( 3, 6, 3, 6, 3, 6, 3, 6, 3, 6, 3, 6 ) }
Outer automorphisms :: reflexible
Dual of E13.1265
Transitivity :: ET+ VT+ AT
Graph::
	v = 12 e = 72 f = 36
	degree seq :: [ 12^12 ]

E13.1270 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {3, 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, T1^3, (F * T2)^2, (F * T1)^2, T2^6, T2^-1 * T1 * T2^2 * T1 * T2^-1 * T1, (T1, T2)^2, T2 * T1 * T2 * T1 * T2^-1 * T1^-1 * T2^-1 * T1^-1, (T1^-1 * T2^-1)^6 ]
Map:: polytopal non-degenerate
	R = (1, 73, 3, 75, 9, 81, 25, 97, 15, 87, 5, 77)(2, 74, 6, 78, 17, 89, 43, 115, 21, 93, 7, 79)(4, 76, 11, 83, 30, 102, 55, 127, 34, 106, 12, 84)(8, 80, 22, 94, 51, 123, 39, 111, 53, 125, 23, 95)(10, 82, 27, 99, 58, 130, 40, 112, 19, 91, 28, 100)(13, 85, 35, 107, 31, 103, 24, 96, 54, 126, 36, 108)(14, 86, 37, 109, 57, 129, 26, 98, 56, 128, 38, 110)(16, 88, 41, 113, 64, 136, 49, 121, 65, 137, 42, 114)(18, 90, 45, 117, 68, 140, 50, 122, 32, 104, 46, 118)(20, 92, 47, 119, 67, 139, 44, 116, 66, 138, 48, 120)(29, 101, 52, 124, 69, 141, 63, 135, 70, 142, 59, 131)(33, 105, 60, 132, 71, 143, 61, 133, 72, 144, 62, 134)
	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, 99)(18, 78)(19, 92)(20, 79)(21, 121)(22, 113)(23, 109)(24, 98)(25, 115)(26, 81)(27, 116)(28, 131)(29, 103)(30, 117)(31, 83)(32, 105)(33, 84)(34, 135)(35, 114)(36, 106)(37, 118)(38, 120)(39, 112)(40, 87)(41, 124)(42, 119)(43, 127)(44, 89)(45, 133)(46, 95)(47, 107)(48, 134)(49, 122)(50, 93)(51, 128)(52, 94)(53, 137)(54, 136)(55, 97)(56, 140)(57, 139)(58, 141)(59, 132)(60, 100)(61, 102)(62, 110)(63, 108)(64, 138)(65, 142)(66, 126)(67, 143)(68, 123)(69, 144)(70, 125)(71, 129)(72, 130)
	local type(s) :: { ( 3, 6, 3, 6, 3, 6, 3, 6, 3, 6, 3, 6 ) }
Outer automorphisms :: reflexible
Dual of E13.1264
Transitivity :: ET+ VT+ AT
Graph::
	v = 12 e = 72 f = 36
	degree seq :: [ 12^12 ]

E13.1271 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {3, 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, T2^3, (F * T1)^2, (F * T2)^2, T1 * T2 * T1^-2 * T2^-1 * T1, T1^6, (T1, T2^-1)^2, (T2^-1 * T1^-1)^6 ]
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, 29, 101)(14, 86, 31, 103, 32, 104)(15, 87, 33, 105, 34, 106)(16, 88, 35, 107, 36, 108)(19, 91, 39, 111, 40, 112)(20, 92, 41, 113, 42, 114)(21, 93, 43, 115, 44, 116)(22, 94, 45, 117, 46, 118)(28, 100, 51, 123, 50, 122)(30, 102, 52, 124, 53, 125)(37, 109, 57, 129, 58, 130)(38, 110, 59, 131, 60, 132)(47, 119, 67, 139, 54, 126)(48, 120, 68, 140, 55, 127)(49, 121, 69, 141, 56, 128)(61, 133, 70, 142, 64, 136)(62, 134, 71, 143, 65, 137)(63, 135, 72, 144, 66, 138)
	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, 84)(17, 109)(18, 110)(19, 107)(20, 79)(21, 108)(22, 80)(23, 119)(24, 112)(25, 120)(26, 82)(27, 114)(28, 83)(29, 87)(30, 85)(31, 115)(32, 126)(33, 117)(34, 127)(35, 100)(36, 102)(37, 98)(38, 101)(39, 133)(40, 130)(41, 134)(42, 96)(43, 131)(44, 136)(45, 103)(46, 137)(47, 129)(48, 95)(49, 97)(50, 99)(51, 135)(52, 105)(53, 138)(54, 132)(55, 104)(56, 106)(57, 121)(58, 122)(59, 124)(60, 128)(61, 123)(62, 111)(63, 113)(64, 125)(65, 116)(66, 118)(67, 142)(68, 143)(69, 144)(70, 141)(71, 139)(72, 140)
	local type(s) :: { ( 6^6 ) }
Outer automorphisms :: reflexible
Dual of E13.1267
Transitivity :: ET+ VT+ AT
Graph:: simple bipartite
	v = 24 e = 72 f = 24
	degree seq :: [ 6^24 ]

E13.1272 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 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, Y3^-1 * Y1^-1, Y1^2 * Y3^-1, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y2 * Y3^-1 * Y2^-2 * Y3 * Y2, Y2 * Y1 * Y2^-2 * Y1^-1 * Y2, Y2^6, Y2 * Y1 * Y2^-1 * Y3 * Y2 * Y3^-1 * Y2^-1 * Y1^-1, Y3 * Y2 * Y1 * Y2^-1 * Y1^-1 * Y2 * Y3^-1 * Y2^-1, (Y3 * Y2^-1)^6 ]
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, 42, 114, 38, 110)(23, 95, 44, 116, 39, 111)(24, 96, 43, 115, 45, 117)(26, 98, 47, 119, 48, 120)(27, 99, 49, 121, 50, 122)(33, 105, 55, 127, 41, 113)(34, 106, 53, 125, 56, 128)(35, 107, 57, 129, 51, 123)(36, 108, 59, 131, 52, 124)(37, 109, 58, 130, 60, 132)(40, 112, 61, 133, 54, 126)(46, 118, 65, 137, 66, 138)(62, 134, 70, 142, 67, 139)(63, 135, 71, 143, 68, 140)(64, 136, 72, 144, 69, 141)(145, 217, 147, 219, 153, 225, 168, 240, 159, 231, 149, 221)(146, 218, 150, 222, 161, 233, 181, 253, 165, 237, 151, 223)(148, 220, 155, 227, 169, 241, 190, 262, 176, 248, 156, 228)(152, 224, 166, 238, 187, 259, 177, 249, 157, 229, 167, 239)(154, 226, 170, 242, 189, 261, 178, 250, 158, 230, 171, 243)(160, 232, 179, 251, 202, 274, 184, 256, 163, 235, 180, 252)(162, 234, 182, 254, 204, 276, 185, 257, 164, 236, 183, 255)(172, 244, 191, 263, 209, 281, 197, 269, 174, 246, 193, 265)(173, 245, 195, 267, 210, 282, 198, 270, 175, 247, 196, 268)(186, 258, 206, 278, 199, 271, 208, 280, 188, 260, 207, 279)(192, 264, 211, 283, 200, 272, 213, 285, 194, 266, 212, 284)(201, 273, 214, 286, 205, 277, 216, 288, 203, 275, 215, 287)
	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, 182)(23, 183)(24, 189)(25, 161)(26, 192)(27, 194)(28, 155)(29, 172)(30, 156)(31, 174)(32, 165)(33, 185)(34, 200)(35, 195)(36, 196)(37, 204)(38, 186)(39, 188)(40, 198)(41, 199)(42, 166)(43, 168)(44, 167)(45, 187)(46, 210)(47, 170)(48, 191)(49, 171)(50, 193)(51, 201)(52, 203)(53, 178)(54, 205)(55, 177)(56, 197)(57, 179)(58, 181)(59, 180)(60, 202)(61, 184)(62, 211)(63, 212)(64, 213)(65, 190)(66, 209)(67, 214)(68, 215)(69, 216)(70, 206)(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) :: { ( 2, 12, 2, 12, 2, 12 ), ( 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12 ) }
Outer automorphisms :: reflexible
Dual of E13.1279
Graph:: bipartite
	v = 36 e = 144 f = 84
	degree seq :: [ 6^24, 12^12 ]

E13.1273 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 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, Y3 * Y1, Y3 * Y1^-2, (R * Y3)^2, (R * Y1)^2, Y1 * Y3 * Y2 * Y1^-1 * Y3^-1 * Y2^-1, Y1 * Y2^-1 * Y3^-1 * Y1^-1 * Y2 * Y3, Y2^6, (R * Y2 * Y3^-1)^2, Y2^-1 * Y1 * Y2^2 * Y1 * Y2^-1 * Y3^-1, Y2 * Y1 * Y2 * Y3^-1 * Y2^-1 * Y3 * Y2^-1 * Y1^-1, (Y3 * Y2^-1)^6 ]
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, 27, 99, 44, 116)(21, 93, 49, 121, 50, 122)(22, 94, 41, 113, 52, 124)(23, 95, 37, 109, 46, 118)(25, 97, 43, 115, 55, 127)(28, 100, 59, 131, 60, 132)(30, 102, 45, 117, 61, 133)(34, 106, 63, 135, 36, 108)(35, 107, 42, 114, 47, 119)(38, 110, 48, 120, 62, 134)(51, 123, 56, 128, 68, 140)(53, 125, 65, 137, 70, 142)(54, 126, 64, 136, 66, 138)(57, 129, 67, 139, 71, 143)(58, 130, 69, 141, 72, 144)(145, 217, 147, 219, 153, 225, 169, 241, 159, 231, 149, 221)(146, 218, 150, 222, 161, 233, 187, 259, 165, 237, 151, 223)(148, 220, 155, 227, 174, 246, 199, 271, 178, 250, 156, 228)(152, 224, 166, 238, 195, 267, 183, 255, 197, 269, 167, 239)(154, 226, 171, 243, 202, 274, 184, 256, 163, 235, 172, 244)(157, 229, 179, 251, 175, 247, 168, 240, 198, 270, 180, 252)(158, 230, 181, 253, 201, 273, 170, 242, 200, 272, 182, 254)(160, 232, 185, 257, 208, 280, 193, 265, 209, 281, 186, 258)(162, 234, 189, 261, 212, 284, 194, 266, 176, 248, 190, 262)(164, 236, 191, 263, 211, 283, 188, 260, 210, 282, 192, 264)(173, 245, 196, 268, 213, 285, 207, 279, 214, 286, 203, 275)(177, 249, 204, 276, 215, 287, 205, 277, 216, 288, 206, 278)
	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, 188)(18, 160)(19, 151)(20, 163)(21, 194)(22, 196)(23, 190)(24, 153)(25, 199)(26, 168)(27, 161)(28, 204)(29, 155)(30, 205)(31, 173)(32, 156)(33, 176)(34, 180)(35, 191)(36, 207)(37, 167)(38, 206)(39, 159)(40, 183)(41, 166)(42, 179)(43, 169)(44, 171)(45, 174)(46, 181)(47, 186)(48, 182)(49, 165)(50, 193)(51, 212)(52, 185)(53, 214)(54, 210)(55, 187)(56, 195)(57, 215)(58, 216)(59, 172)(60, 203)(61, 189)(62, 192)(63, 178)(64, 198)(65, 197)(66, 208)(67, 201)(68, 200)(69, 202)(70, 209)(71, 211)(72, 213)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 2, 12, 2, 12, 2, 12 ), ( 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12 ) }
Outer automorphisms :: reflexible
Dual of E13.1277
Graph:: bipartite
	v = 36 e = 144 f = 84
	degree seq :: [ 6^24, 12^12 ]

E13.1274 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 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 * Y3, Y3^2 * Y1^-1, Y1^3, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y2^6, Y2^2 * Y3 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1, Y2^-2 * Y1 * Y2 * Y3^-1 * Y2 * Y3^-1, Y2 * Y1 * Y2 * Y3^-1 * Y2^-2 * Y3^-1, Y1 * Y2^-2 * Y1 * Y2 * Y3^-1 * Y2, Y2 * Y3 * Y2 * Y1 * Y2^-1 * Y3^-1 * Y2^-1 * Y1^-1, (Y2^-2 * R * Y2^-1)^2, Y2 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1^-1 * Y2 * Y1^-1, Y3 * Y2^-3 * Y3^-1 * Y2^-3, Y2 * Y3 * Y2^-1 * Y3^-1 * Y2^-1 * Y3^-1 * Y2 * Y1^-1, Y2 * Y1 * Y2^2 * Y1 * Y2^-1 * Y1^-1 * Y2^-2 * Y1^-1, (Y3 * Y2^-1)^6 ]
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, 41, 113, 43, 115)(21, 93, 38, 110, 50, 122)(22, 94, 30, 102, 52, 124)(23, 95, 46, 118, 45, 117)(25, 97, 42, 114, 55, 127)(27, 99, 44, 116, 58, 130)(28, 100, 48, 120, 35, 107)(34, 106, 49, 121, 63, 135)(36, 108, 47, 119, 62, 134)(37, 109, 61, 133, 60, 132)(51, 123, 64, 136, 67, 139)(53, 125, 57, 129, 66, 138)(54, 126, 65, 137, 70, 142)(56, 128, 69, 141, 71, 143)(59, 131, 68, 140, 72, 144)(145, 217, 147, 219, 153, 225, 169, 241, 159, 231, 149, 221)(146, 218, 150, 222, 161, 233, 186, 258, 165, 237, 151, 223)(148, 220, 155, 227, 174, 246, 199, 271, 178, 250, 156, 228)(152, 224, 166, 238, 195, 267, 183, 255, 177, 249, 167, 239)(154, 226, 171, 243, 201, 273, 184, 256, 203, 275, 172, 244)(157, 229, 179, 251, 198, 270, 168, 240, 197, 269, 180, 252)(158, 230, 181, 253, 160, 232, 170, 242, 200, 272, 182, 254)(162, 234, 188, 260, 211, 283, 194, 266, 212, 284, 189, 261)(163, 235, 190, 262, 209, 281, 185, 257, 208, 280, 191, 263)(164, 236, 192, 264, 173, 245, 187, 259, 210, 282, 193, 265)(175, 247, 202, 274, 215, 287, 207, 279, 216, 288, 204, 276)(176, 248, 205, 277, 214, 286, 196, 268, 213, 285, 206, 278)
	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, 187)(18, 160)(19, 151)(20, 163)(21, 194)(22, 196)(23, 189)(24, 153)(25, 199)(26, 168)(27, 202)(28, 179)(29, 155)(30, 166)(31, 173)(32, 156)(33, 176)(34, 207)(35, 192)(36, 206)(37, 204)(38, 165)(39, 159)(40, 183)(41, 161)(42, 169)(43, 185)(44, 171)(45, 190)(46, 167)(47, 180)(48, 172)(49, 178)(50, 182)(51, 211)(52, 174)(53, 210)(54, 214)(55, 186)(56, 215)(57, 197)(58, 188)(59, 216)(60, 205)(61, 181)(62, 191)(63, 193)(64, 195)(65, 198)(66, 201)(67, 208)(68, 203)(69, 200)(70, 209)(71, 213)(72, 212)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 2, 12, 2, 12, 2, 12 ), ( 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12 ) }
Outer automorphisms :: reflexible
Dual of E13.1278
Graph:: bipartite
	v = 36 e = 144 f = 84
	degree seq :: [ 6^24, 12^12 ]

E13.1275 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 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, Y2 * Y3^-1, (R * Y1)^2, (R * Y3)^2, Y1^-1 * Y2^2 * Y1 * Y2^-2, Y1^6, (Y3^-1 * Y1^-1)^3, Y2^6, (Y2 * Y1^-1)^3, (Y1, Y2)^2, Y1^3 * Y2 * Y1^3 * Y2^-1 ]
Map::
	R = (1, 73, 2, 74, 6, 78, 18, 90, 13, 85, 4, 76)(3, 75, 9, 81, 27, 99, 42, 114, 32, 104, 11, 83)(5, 77, 15, 87, 40, 112, 43, 115, 41, 113, 16, 88)(7, 79, 21, 93, 50, 122, 36, 108, 53, 125, 23, 95)(8, 80, 24, 96, 55, 127, 37, 109, 56, 128, 25, 97)(10, 82, 22, 94, 45, 117, 64, 136, 60, 132, 31, 103)(12, 84, 34, 106, 46, 118, 19, 91, 44, 116, 35, 107)(14, 86, 38, 110, 48, 120, 20, 92, 47, 119, 28, 100)(17, 89, 26, 98, 49, 121, 65, 137, 63, 135, 39, 111)(29, 101, 59, 131, 69, 141, 61, 133, 67, 139, 54, 126)(30, 102, 58, 130, 70, 142, 72, 144, 68, 140, 51, 123)(33, 105, 62, 134, 71, 143, 57, 129, 66, 138, 52, 124)(145, 217, 147, 219, 154, 226, 174, 246, 161, 233, 149, 221)(146, 218, 151, 223, 166, 238, 196, 268, 170, 242, 152, 224)(148, 220, 156, 228, 175, 247, 203, 275, 183, 255, 158, 230)(150, 222, 163, 235, 189, 261, 211, 283, 193, 265, 164, 236)(153, 225, 172, 244, 202, 274, 179, 251, 159, 231, 173, 245)(155, 227, 168, 240, 195, 267, 165, 237, 160, 232, 177, 249)(157, 229, 180, 252, 204, 276, 215, 287, 207, 279, 181, 253)(162, 234, 186, 258, 208, 280, 216, 288, 209, 281, 187, 259)(167, 239, 191, 263, 210, 282, 188, 260, 169, 241, 198, 270)(171, 243, 200, 272, 214, 286, 197, 269, 184, 256, 201, 273)(176, 248, 192, 264, 212, 284, 190, 262, 185, 257, 205, 277)(178, 250, 199, 271, 213, 285, 194, 266, 182, 254, 206, 278)
	L = (1, 147)(2, 151)(3, 154)(4, 156)(5, 145)(6, 163)(7, 166)(8, 146)(9, 172)(10, 174)(11, 168)(12, 175)(13, 180)(14, 148)(15, 173)(16, 177)(17, 149)(18, 186)(19, 189)(20, 150)(21, 160)(22, 196)(23, 191)(24, 195)(25, 198)(26, 152)(27, 200)(28, 202)(29, 153)(30, 161)(31, 203)(32, 192)(33, 155)(34, 199)(35, 159)(36, 204)(37, 157)(38, 206)(39, 158)(40, 201)(41, 205)(42, 208)(43, 162)(44, 169)(45, 211)(46, 185)(47, 210)(48, 212)(49, 164)(50, 182)(51, 165)(52, 170)(53, 184)(54, 167)(55, 213)(56, 214)(57, 171)(58, 179)(59, 183)(60, 215)(61, 176)(62, 178)(63, 181)(64, 216)(65, 187)(66, 188)(67, 193)(68, 190)(69, 194)(70, 197)(71, 207)(72, 209)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6 ) }
Outer automorphisms :: reflexible
Dual of E13.1276
Graph:: bipartite
	v = 24 e = 144 f = 96
	degree seq :: [ 12^24 ]

E13.1276 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 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, Y2^3, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y3^2 * Y2 * Y3^-2 * Y2^-1, (Y3^-1, Y2^-1)^2, (Y3^-1 * Y1^-1)^6, (Y3 * Y2^-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, 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, 186, 258, 182, 254)(167, 239, 188, 260, 183, 255)(168, 240, 187, 259, 189, 261)(170, 242, 191, 263, 192, 264)(171, 243, 193, 265, 194, 266)(177, 249, 199, 271, 185, 257)(178, 250, 197, 269, 200, 272)(179, 251, 201, 273, 195, 267)(180, 252, 203, 275, 196, 268)(181, 253, 202, 274, 204, 276)(184, 256, 205, 277, 198, 270)(190, 262, 209, 281, 210, 282)(206, 278, 214, 286, 211, 283)(207, 279, 215, 287, 212, 284)(208, 280, 216, 288, 213, 285)
	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, 179)(17, 181)(18, 182)(19, 180)(20, 183)(21, 151)(22, 187)(23, 152)(24, 159)(25, 190)(26, 189)(27, 154)(28, 191)(29, 195)(30, 193)(31, 196)(32, 156)(33, 157)(34, 158)(35, 202)(36, 160)(37, 165)(38, 204)(39, 162)(40, 163)(41, 164)(42, 206)(43, 177)(44, 207)(45, 178)(46, 176)(47, 209)(48, 211)(49, 172)(50, 212)(51, 210)(52, 173)(53, 174)(54, 175)(55, 208)(56, 213)(57, 214)(58, 184)(59, 215)(60, 185)(61, 216)(62, 199)(63, 186)(64, 188)(65, 197)(66, 198)(67, 200)(68, 192)(69, 194)(70, 205)(71, 201)(72, 203)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 12, 12 ), ( 12^6 ) }
Outer automorphisms :: reflexible
Dual of E13.1275
Graph:: simple bipartite
	v = 96 e = 144 f = 24
	degree seq :: [ 2^72, 6^24 ]

E13.1277 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 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 :: [ Y2, R^2, Y3^3, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, Y1 * Y3 * Y1^-2 * Y3^-1 * Y1, Y1^6, (Y3 * Y2^-1)^3, (Y3^-1, Y1^-1)^2, (Y3^-1 * Y1^-1)^6 ]
Map:: polytopal
	R = (1, 73, 2, 74, 6, 78, 16, 88, 12, 84, 4, 76)(3, 75, 9, 81, 17, 89, 37, 109, 26, 98, 10, 82)(5, 77, 14, 86, 18, 90, 38, 110, 29, 101, 15, 87)(7, 79, 19, 91, 35, 107, 28, 100, 11, 83, 20, 92)(8, 80, 21, 93, 36, 108, 30, 102, 13, 85, 22, 94)(23, 95, 47, 119, 57, 129, 49, 121, 25, 97, 48, 120)(24, 96, 40, 112, 58, 130, 50, 122, 27, 99, 42, 114)(31, 103, 43, 115, 59, 131, 52, 124, 33, 105, 45, 117)(32, 104, 54, 126, 60, 132, 56, 128, 34, 106, 55, 127)(39, 111, 61, 133, 51, 123, 63, 135, 41, 113, 62, 134)(44, 116, 64, 136, 53, 125, 66, 138, 46, 118, 65, 137)(67, 139, 70, 142, 69, 141, 72, 144, 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, 149)(4, 155)(5, 145)(6, 161)(7, 152)(8, 146)(9, 167)(10, 169)(11, 157)(12, 170)(13, 148)(14, 175)(15, 177)(16, 179)(17, 162)(18, 150)(19, 183)(20, 185)(21, 187)(22, 189)(23, 168)(24, 153)(25, 171)(26, 173)(27, 154)(28, 195)(29, 156)(30, 196)(31, 176)(32, 158)(33, 178)(34, 159)(35, 180)(36, 160)(37, 201)(38, 203)(39, 184)(40, 163)(41, 186)(42, 164)(43, 188)(44, 165)(45, 190)(46, 166)(47, 211)(48, 212)(49, 213)(50, 172)(51, 194)(52, 197)(53, 174)(54, 191)(55, 192)(56, 193)(57, 202)(58, 181)(59, 204)(60, 182)(61, 214)(62, 215)(63, 216)(64, 205)(65, 206)(66, 207)(67, 198)(68, 199)(69, 200)(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) :: { ( 6, 12 ), ( 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12 ) }
Outer automorphisms :: reflexible
Dual of E13.1273
Graph:: simple bipartite
	v = 84 e = 144 f = 36
	degree seq :: [ 2^72, 12^12 ]

E13.1278 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 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 :: [ Y2, R^2, Y3^3, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, Y1^6, (Y3 * Y2^-1)^3, Y3 * Y1 * Y3 * Y1 * Y3 * Y1^-2, (Y3^-1, Y1^-1)^2 ]
Map::
	R = (1, 73, 2, 74, 6, 78, 16, 88, 12, 84, 4, 76)(3, 75, 9, 81, 23, 95, 41, 113, 27, 99, 10, 82)(5, 77, 14, 86, 35, 107, 42, 114, 39, 111, 15, 87)(7, 79, 19, 91, 46, 118, 31, 103, 40, 112, 20, 92)(8, 80, 21, 93, 50, 122, 32, 104, 54, 126, 22, 94)(11, 83, 29, 101, 44, 116, 17, 89, 43, 115, 30, 102)(13, 85, 33, 105, 24, 96, 18, 90, 45, 117, 34, 106)(25, 97, 51, 123, 70, 142, 58, 130, 71, 143, 49, 121)(26, 98, 48, 120, 65, 137, 55, 127, 69, 141, 57, 129)(28, 100, 53, 125, 36, 108, 56, 128, 64, 136, 59, 131)(37, 109, 52, 124, 68, 140, 63, 135, 72, 144, 62, 134)(38, 110, 61, 133, 66, 138, 47, 119, 67, 139, 60, 132)(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, 180)(15, 182)(16, 185)(17, 162)(18, 150)(19, 179)(20, 192)(21, 195)(22, 197)(23, 199)(24, 169)(25, 153)(26, 172)(27, 178)(28, 154)(29, 166)(30, 201)(31, 176)(32, 156)(33, 205)(34, 202)(35, 191)(36, 181)(37, 158)(38, 184)(39, 203)(40, 159)(41, 186)(42, 160)(43, 194)(44, 209)(45, 211)(46, 213)(47, 163)(48, 193)(49, 164)(50, 208)(51, 196)(52, 165)(53, 173)(54, 215)(55, 200)(56, 167)(57, 204)(58, 171)(59, 207)(60, 174)(61, 206)(62, 177)(63, 183)(64, 187)(65, 210)(66, 188)(67, 212)(68, 189)(69, 214)(70, 190)(71, 216)(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) :: { ( 6, 12 ), ( 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12 ) }
Outer automorphisms :: reflexible
Dual of E13.1274
Graph:: simple bipartite
	v = 84 e = 144 f = 36
	degree seq :: [ 2^72, 12^12 ]

E13.1279 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 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 :: [ Y2, R^2, Y3^3, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, (Y3 * Y2^-1)^3, Y1^6, Y1 * Y3^-1 * Y1^-2 * Y3^-1 * Y1 * Y3^-1, (Y1, Y3)^2, Y3 * Y1 * Y3 * Y1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1, (Y1^-1 * Y3^-1)^6 ]
Map:: polytopal
	R = (1, 73, 2, 74, 6, 78, 16, 88, 12, 84, 4, 76)(3, 75, 9, 81, 23, 95, 41, 113, 27, 99, 10, 82)(5, 77, 14, 86, 35, 107, 42, 114, 39, 111, 15, 87)(7, 79, 19, 91, 46, 118, 31, 103, 49, 121, 20, 92)(8, 80, 21, 93, 51, 123, 32, 104, 26, 98, 22, 94)(11, 83, 29, 101, 37, 109, 17, 89, 43, 115, 30, 102)(13, 85, 33, 105, 45, 117, 18, 90, 44, 116, 34, 106)(24, 96, 47, 119, 64, 136, 57, 129, 70, 142, 55, 127)(25, 97, 56, 128, 66, 138, 58, 130, 38, 110, 50, 122)(28, 100, 59, 131, 67, 139, 52, 124, 65, 137, 60, 132)(36, 108, 48, 120, 69, 141, 61, 133, 71, 143, 53, 125)(40, 112, 54, 126, 68, 140, 63, 135, 72, 144, 62, 134)(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, 180)(15, 182)(16, 185)(17, 162)(18, 150)(19, 191)(20, 177)(21, 196)(22, 197)(23, 165)(24, 169)(25, 153)(26, 172)(27, 201)(28, 154)(29, 199)(30, 183)(31, 176)(32, 156)(33, 194)(34, 204)(35, 200)(36, 181)(37, 158)(38, 184)(39, 205)(40, 159)(41, 186)(42, 160)(43, 208)(44, 210)(45, 211)(46, 188)(47, 192)(48, 163)(49, 214)(50, 164)(51, 213)(52, 167)(53, 198)(54, 166)(55, 203)(56, 207)(57, 202)(58, 171)(59, 173)(60, 206)(61, 174)(62, 178)(63, 179)(64, 209)(65, 187)(66, 190)(67, 212)(68, 189)(69, 216)(70, 215)(71, 193)(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, 12 ), ( 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12 ) }
Outer automorphisms :: reflexible
Dual of E13.1272
Graph:: simple bipartite
	v = 84 e = 144 f = 36
	degree seq :: [ 2^72, 12^12 ]

E13.1280 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {3, 4, 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, T2^4, (F * T1)^2, (F * T2)^2, T2 * T1 * T2 * T1 * T2 * T1^-1 * T2^-1 * T1^-1, T2 * T1 * T2^-1 * T1 * T2^-1 * T1^-1 * T2 * T1^-1, T1 * T2^-2 * T1 * T2^2 * T1 * T2^-2 ]
Map:: polytopal non-degenerate
	R = (1, 3, 9, 5)(2, 6, 16, 7)(4, 11, 27, 12)(8, 20, 45, 21)(10, 24, 52, 25)(13, 31, 61, 32)(14, 33, 62, 34)(15, 35, 63, 36)(17, 39, 66, 40)(18, 41, 67, 42)(19, 43, 68, 44)(22, 48, 57, 49)(23, 50, 37, 51)(26, 47, 70, 55)(28, 53, 71, 58)(29, 46, 69, 59)(30, 60, 72, 54)(38, 64, 56, 65)(73, 74, 76)(75, 80, 82)(77, 85, 86)(78, 87, 89)(79, 90, 91)(81, 94, 95)(83, 98, 100)(84, 101, 102)(88, 109, 110)(92, 108, 118)(93, 113, 119)(96, 111, 125)(97, 115, 126)(99, 128, 129)(103, 107, 127)(104, 114, 131)(105, 116, 130)(106, 112, 132)(117, 134, 137)(120, 135, 140)(121, 139, 138)(122, 141, 143)(123, 142, 144)(124, 136, 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) :: { ( 24^3 ), ( 24^4 ) }
Outer automorphisms :: reflexible
Dual of E13.1284
Transitivity :: ET+
Graph:: simple bipartite
	v = 42 e = 72 f = 6
	degree seq :: [ 3^24, 4^18 ]

E13.1281 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {3, 4, 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, (F * T2)^2, (F * T1)^2, T1^4, (T2^-1 * T1)^3, (T2^-1 * T1^-1)^3, T2^-1 * T1 * T2^2 * T1 * T2^-1, (T2 * T1^-2 * T2^-1 * T1^-1)^2, T2^12 ]
Map:: polytopal non-degenerate
	R = (1, 3, 10, 29, 55, 64, 72, 60, 59, 36, 16, 5)(2, 7, 20, 45, 68, 52, 71, 56, 70, 48, 24, 8)(4, 12, 28, 54, 69, 47, 67, 43, 66, 53, 34, 13)(6, 17, 38, 62, 58, 35, 50, 25, 49, 65, 42, 18)(9, 26, 51, 31, 41, 61, 37, 23, 44, 19, 15, 27)(11, 22, 46, 21, 40, 63, 39, 33, 57, 32, 14, 30)(73, 74, 78, 76)(75, 81, 97, 83)(77, 86, 107, 87)(79, 91, 115, 93)(80, 94, 119, 95)(82, 100, 110, 92)(84, 103, 128, 104)(85, 105, 124, 98)(88, 106, 114, 96)(89, 109, 132, 111)(90, 112, 136, 113)(99, 117, 135, 125)(101, 118, 137, 123)(102, 120, 133, 126)(108, 116, 134, 129)(121, 138, 131, 142)(122, 143, 144, 139)(127, 140, 130, 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) :: { ( 6^4 ), ( 6^12 ) }
Outer automorphisms :: reflexible
Dual of E13.1285
Transitivity :: ET+
Graph:: simple bipartite
	v = 24 e = 72 f = 24
	degree seq :: [ 4^18, 12^6 ]

E13.1282 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {3, 4, 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, T2^3, T2^3, (F * T2)^2, (F * T1)^2, T1^-3 * T2^-1 * T1 * T2^-1, (T2^-1 * T1^-1)^4, (T1^2 * T2^-1)^3, T2^-1 * T1 * T2^-1 * T1^9 ]
Map:: polytopal non-degenerate
	R = (1, 3, 5)(2, 7, 8)(4, 11, 13)(6, 17, 18)(9, 23, 24)(10, 25, 27)(12, 30, 20)(14, 33, 16)(15, 34, 35)(19, 40, 41)(21, 44, 36)(22, 45, 46)(26, 50, 48)(28, 52, 53)(29, 49, 55)(31, 58, 47)(32, 59, 60)(37, 63, 64)(38, 65, 62)(39, 56, 66)(42, 68, 67)(43, 69, 54)(51, 72, 61)(57, 71, 70)(73, 74, 78, 88, 108, 134, 144, 143, 121, 97, 84, 76)(75, 81, 94, 80, 93, 115, 113, 137, 127, 106, 98, 82)(77, 86, 104, 96, 116, 142, 130, 126, 101, 83, 100, 87)(79, 91, 111, 90, 110, 122, 136, 123, 99, 117, 114, 92)(85, 89, 109, 125, 105, 133, 140, 132, 129, 102, 128, 103)(95, 119, 135, 118, 141, 124, 139, 112, 107, 131, 138, 120)
	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) :: { ( 8^3 ), ( 8^12 ) }
Outer automorphisms :: reflexible
Dual of E13.1283
Transitivity :: ET+
Graph:: simple bipartite
	v = 30 e = 72 f = 18
	degree seq :: [ 3^24, 12^6 ]

E13.1283 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {3, 4, 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, T2^4, (F * T1)^2, (F * T2)^2, T2 * T1 * T2 * T1 * T2 * T1^-1 * T2^-1 * T1^-1, T2 * T1 * T2^-1 * T1 * T2^-1 * T1^-1 * T2 * T1^-1, T1 * T2^-2 * T1 * T2^2 * T1 * T2^-2 ]
Map:: polytopal non-degenerate
	R = (1, 73, 3, 75, 9, 81, 5, 77)(2, 74, 6, 78, 16, 88, 7, 79)(4, 76, 11, 83, 27, 99, 12, 84)(8, 80, 20, 92, 45, 117, 21, 93)(10, 82, 24, 96, 52, 124, 25, 97)(13, 85, 31, 103, 61, 133, 32, 104)(14, 86, 33, 105, 62, 134, 34, 106)(15, 87, 35, 107, 63, 135, 36, 108)(17, 89, 39, 111, 66, 138, 40, 112)(18, 90, 41, 113, 67, 139, 42, 114)(19, 91, 43, 115, 68, 140, 44, 116)(22, 94, 48, 120, 57, 129, 49, 121)(23, 95, 50, 122, 37, 109, 51, 123)(26, 98, 47, 119, 70, 142, 55, 127)(28, 100, 53, 125, 71, 143, 58, 130)(29, 101, 46, 118, 69, 141, 59, 131)(30, 102, 60, 132, 72, 144, 54, 126)(38, 110, 64, 136, 56, 128, 65, 137)
	L = (1, 74)(2, 76)(3, 80)(4, 73)(5, 85)(6, 87)(7, 90)(8, 82)(9, 94)(10, 75)(11, 98)(12, 101)(13, 86)(14, 77)(15, 89)(16, 109)(17, 78)(18, 91)(19, 79)(20, 108)(21, 113)(22, 95)(23, 81)(24, 111)(25, 115)(26, 100)(27, 128)(28, 83)(29, 102)(30, 84)(31, 107)(32, 114)(33, 116)(34, 112)(35, 127)(36, 118)(37, 110)(38, 88)(39, 125)(40, 132)(41, 119)(42, 131)(43, 126)(44, 130)(45, 134)(46, 92)(47, 93)(48, 135)(49, 139)(50, 141)(51, 142)(52, 136)(53, 96)(54, 97)(55, 103)(56, 129)(57, 99)(58, 105)(59, 104)(60, 106)(61, 124)(62, 137)(63, 140)(64, 133)(65, 117)(66, 121)(67, 138)(68, 120)(69, 143)(70, 144)(71, 122)(72, 123)
	local type(s) :: { ( 3, 12, 3, 12, 3, 12, 3, 12 ) }
Outer automorphisms :: reflexible
Dual of E13.1282
Transitivity :: ET+ VT+ AT
Graph:: simple
	v = 18 e = 72 f = 30
	degree seq :: [ 8^18 ]

E13.1284 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {3, 4, 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, (F * T2)^2, (F * T1)^2, T1^4, (T2^-1 * T1)^3, (T2^-1 * T1^-1)^3, T2^-1 * T1 * T2^2 * T1 * T2^-1, (T2 * T1^-2 * T2^-1 * T1^-1)^2, T2^12 ]
Map:: polytopal non-degenerate
	R = (1, 73, 3, 75, 10, 82, 29, 101, 55, 127, 64, 136, 72, 144, 60, 132, 59, 131, 36, 108, 16, 88, 5, 77)(2, 74, 7, 79, 20, 92, 45, 117, 68, 140, 52, 124, 71, 143, 56, 128, 70, 142, 48, 120, 24, 96, 8, 80)(4, 76, 12, 84, 28, 100, 54, 126, 69, 141, 47, 119, 67, 139, 43, 115, 66, 138, 53, 125, 34, 106, 13, 85)(6, 78, 17, 89, 38, 110, 62, 134, 58, 130, 35, 107, 50, 122, 25, 97, 49, 121, 65, 137, 42, 114, 18, 90)(9, 81, 26, 98, 51, 123, 31, 103, 41, 113, 61, 133, 37, 109, 23, 95, 44, 116, 19, 91, 15, 87, 27, 99)(11, 83, 22, 94, 46, 118, 21, 93, 40, 112, 63, 135, 39, 111, 33, 105, 57, 129, 32, 104, 14, 86, 30, 102)
	L = (1, 74)(2, 78)(3, 81)(4, 73)(5, 86)(6, 76)(7, 91)(8, 94)(9, 97)(10, 100)(11, 75)(12, 103)(13, 105)(14, 107)(15, 77)(16, 106)(17, 109)(18, 112)(19, 115)(20, 82)(21, 79)(22, 119)(23, 80)(24, 88)(25, 83)(26, 85)(27, 117)(28, 110)(29, 118)(30, 120)(31, 128)(32, 84)(33, 124)(34, 114)(35, 87)(36, 116)(37, 132)(38, 92)(39, 89)(40, 136)(41, 90)(42, 96)(43, 93)(44, 134)(45, 135)(46, 137)(47, 95)(48, 133)(49, 138)(50, 143)(51, 101)(52, 98)(53, 99)(54, 102)(55, 140)(56, 104)(57, 108)(58, 141)(59, 142)(60, 111)(61, 126)(62, 129)(63, 125)(64, 113)(65, 123)(66, 131)(67, 122)(68, 130)(69, 127)(70, 121)(71, 144)(72, 139)
	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 E13.1280
Transitivity :: ET+ VT+ AT
Graph::
	v = 6 e = 72 f = 42
	degree seq :: [ 24^6 ]

E13.1285 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {3, 4, 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, T2^3, T2^3, (F * T2)^2, (F * T1)^2, T1^-3 * T2^-1 * T1 * T2^-1, (T2^-1 * T1^-1)^4, (T1^2 * T2^-1)^3, T2^-1 * T1 * T2^-1 * T1^9 ]
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, 30, 102, 20, 92)(14, 86, 33, 105, 16, 88)(15, 87, 34, 106, 35, 107)(19, 91, 40, 112, 41, 113)(21, 93, 44, 116, 36, 108)(22, 94, 45, 117, 46, 118)(26, 98, 50, 122, 48, 120)(28, 100, 52, 124, 53, 125)(29, 101, 49, 121, 55, 127)(31, 103, 58, 130, 47, 119)(32, 104, 59, 131, 60, 132)(37, 109, 63, 135, 64, 136)(38, 110, 65, 137, 62, 134)(39, 111, 56, 128, 66, 138)(42, 114, 68, 140, 67, 139)(43, 115, 69, 141, 54, 126)(51, 123, 72, 144, 61, 133)(57, 129, 71, 143, 70, 142)
	L = (1, 74)(2, 78)(3, 81)(4, 73)(5, 86)(6, 88)(7, 91)(8, 93)(9, 94)(10, 75)(11, 100)(12, 76)(13, 89)(14, 104)(15, 77)(16, 108)(17, 109)(18, 110)(19, 111)(20, 79)(21, 115)(22, 80)(23, 119)(24, 116)(25, 84)(26, 82)(27, 117)(28, 87)(29, 83)(30, 128)(31, 85)(32, 96)(33, 133)(34, 98)(35, 131)(36, 134)(37, 125)(38, 122)(39, 90)(40, 107)(41, 137)(42, 92)(43, 113)(44, 142)(45, 114)(46, 141)(47, 135)(48, 95)(49, 97)(50, 136)(51, 99)(52, 139)(53, 105)(54, 101)(55, 106)(56, 103)(57, 102)(58, 126)(59, 138)(60, 129)(61, 140)(62, 144)(63, 118)(64, 123)(65, 127)(66, 120)(67, 112)(68, 132)(69, 124)(70, 130)(71, 121)(72, 143)
	local type(s) :: { ( 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E13.1281
Transitivity :: ET+ VT+ AT
Graph:: simple bipartite
	v = 24 e = 72 f = 24
	degree seq :: [ 6^24 ]

E13.1286 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 4, 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, Y3^-1 * Y1^-1, Y1^3, Y2^4, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y3 * Y2^-1 * Y1 * Y2 * Y3^-1 * Y2^-1 * Y1^-1 * Y2^-1, Y2 * Y3 * Y2 * Y1 * Y2^-1 * Y3^-1 * Y2^-1 * Y1^-1, Y2 * Y1 * Y2 * Y1 * Y2 * Y1^-1 * Y2^-1 * Y1^-1, Y3 * Y2^-1 * Y3 * Y2^-1 * Y3^-1 * Y2 * Y3^-1 * Y2^-1, Y2 * Y3 * Y2^-1 * Y1 * Y2^-1 * Y3^-1 * Y2 * Y1^-1, Y3 * Y2 * Y1 * Y2 * Y3^-1 * Y2 * Y1^-1 * Y2^-1, Y2 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1^-1 * Y2 * Y1^-1, Y3 * Y2 * Y3 * Y2 * Y3^-1 * Y2^-1 * Y3^-1 * Y2^-1, Y2 * Y1 * Y2^-2 * Y1 * Y2^-2 * Y3^-1 * Y2, (Y3^2 * Y2^-1 * Y3)^4 ]
Map::
	R = (1, 73, 2, 74, 4, 76)(3, 75, 8, 80, 10, 82)(5, 77, 13, 85, 14, 86)(6, 78, 15, 87, 17, 89)(7, 79, 18, 90, 19, 91)(9, 81, 22, 94, 23, 95)(11, 83, 26, 98, 28, 100)(12, 84, 29, 101, 30, 102)(16, 88, 37, 109, 38, 110)(20, 92, 36, 108, 46, 118)(21, 93, 41, 113, 47, 119)(24, 96, 39, 111, 53, 125)(25, 97, 43, 115, 54, 126)(27, 99, 56, 128, 57, 129)(31, 103, 35, 107, 55, 127)(32, 104, 42, 114, 59, 131)(33, 105, 44, 116, 58, 130)(34, 106, 40, 112, 60, 132)(45, 117, 62, 134, 65, 137)(48, 120, 63, 135, 68, 140)(49, 121, 67, 139, 66, 138)(50, 122, 69, 141, 71, 143)(51, 123, 70, 142, 72, 144)(52, 124, 64, 136, 61, 133)(145, 217, 147, 219, 153, 225, 149, 221)(146, 218, 150, 222, 160, 232, 151, 223)(148, 220, 155, 227, 171, 243, 156, 228)(152, 224, 164, 236, 189, 261, 165, 237)(154, 226, 168, 240, 196, 268, 169, 241)(157, 229, 175, 247, 205, 277, 176, 248)(158, 230, 177, 249, 206, 278, 178, 250)(159, 231, 179, 251, 207, 279, 180, 252)(161, 233, 183, 255, 210, 282, 184, 256)(162, 234, 185, 257, 211, 283, 186, 258)(163, 235, 187, 259, 212, 284, 188, 260)(166, 238, 192, 264, 201, 273, 193, 265)(167, 239, 194, 266, 181, 253, 195, 267)(170, 242, 191, 263, 214, 286, 199, 271)(172, 244, 197, 269, 215, 287, 202, 274)(173, 245, 190, 262, 213, 285, 203, 275)(174, 246, 204, 276, 216, 288, 198, 270)(182, 254, 208, 280, 200, 272, 209, 281)
	L = (1, 148)(2, 145)(3, 154)(4, 146)(5, 158)(6, 161)(7, 163)(8, 147)(9, 167)(10, 152)(11, 172)(12, 174)(13, 149)(14, 157)(15, 150)(16, 182)(17, 159)(18, 151)(19, 162)(20, 190)(21, 191)(22, 153)(23, 166)(24, 197)(25, 198)(26, 155)(27, 201)(28, 170)(29, 156)(30, 173)(31, 199)(32, 203)(33, 202)(34, 204)(35, 175)(36, 164)(37, 160)(38, 181)(39, 168)(40, 178)(41, 165)(42, 176)(43, 169)(44, 177)(45, 209)(46, 180)(47, 185)(48, 212)(49, 210)(50, 215)(51, 216)(52, 205)(53, 183)(54, 187)(55, 179)(56, 171)(57, 200)(58, 188)(59, 186)(60, 184)(61, 208)(62, 189)(63, 192)(64, 196)(65, 206)(66, 211)(67, 193)(68, 207)(69, 194)(70, 195)(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, 24, 2, 24, 2, 24 ), ( 2, 24, 2, 24, 2, 24, 2, 24 ) }
Outer automorphisms :: reflexible
Dual of E13.1289
Graph:: bipartite
	v = 42 e = 144 f = 78
	degree seq :: [ 6^24, 8^18 ]

E13.1287 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 4, 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, Y2 * Y3^-1, (R * Y1)^2, (R * Y3)^2, Y1^4, (Y2^-1 * Y1^-1)^3, (Y3^-1 * Y1^-1)^3, (Y2^-1 * Y1)^3, Y2^2 * Y1^-1 * Y2^-2 * Y1^-1, (Y2 * Y1^-2 * Y2^-1 * Y1^-1)^2, Y2^3 * Y1^2 * Y2^3 * Y1^-2, Y2^12 ]
Map::
	R = (1, 73, 2, 74, 6, 78, 4, 76)(3, 75, 9, 81, 25, 97, 11, 83)(5, 77, 14, 86, 35, 107, 15, 87)(7, 79, 19, 91, 43, 115, 21, 93)(8, 80, 22, 94, 47, 119, 23, 95)(10, 82, 28, 100, 38, 110, 20, 92)(12, 84, 31, 103, 56, 128, 32, 104)(13, 85, 33, 105, 52, 124, 26, 98)(16, 88, 34, 106, 42, 114, 24, 96)(17, 89, 37, 109, 60, 132, 39, 111)(18, 90, 40, 112, 64, 136, 41, 113)(27, 99, 45, 117, 63, 135, 53, 125)(29, 101, 46, 118, 65, 137, 51, 123)(30, 102, 48, 120, 61, 133, 54, 126)(36, 108, 44, 116, 62, 134, 57, 129)(49, 121, 66, 138, 59, 131, 70, 142)(50, 122, 71, 143, 72, 144, 67, 139)(55, 127, 68, 140, 58, 130, 69, 141)(145, 217, 147, 219, 154, 226, 173, 245, 199, 271, 208, 280, 216, 288, 204, 276, 203, 275, 180, 252, 160, 232, 149, 221)(146, 218, 151, 223, 164, 236, 189, 261, 212, 284, 196, 268, 215, 287, 200, 272, 214, 286, 192, 264, 168, 240, 152, 224)(148, 220, 156, 228, 172, 244, 198, 270, 213, 285, 191, 263, 211, 283, 187, 259, 210, 282, 197, 269, 178, 250, 157, 229)(150, 222, 161, 233, 182, 254, 206, 278, 202, 274, 179, 251, 194, 266, 169, 241, 193, 265, 209, 281, 186, 258, 162, 234)(153, 225, 170, 242, 195, 267, 175, 247, 185, 257, 205, 277, 181, 253, 167, 239, 188, 260, 163, 235, 159, 231, 171, 243)(155, 227, 166, 238, 190, 262, 165, 237, 184, 256, 207, 279, 183, 255, 177, 249, 201, 273, 176, 248, 158, 230, 174, 246)
	L = (1, 147)(2, 151)(3, 154)(4, 156)(5, 145)(6, 161)(7, 164)(8, 146)(9, 170)(10, 173)(11, 166)(12, 172)(13, 148)(14, 174)(15, 171)(16, 149)(17, 182)(18, 150)(19, 159)(20, 189)(21, 184)(22, 190)(23, 188)(24, 152)(25, 193)(26, 195)(27, 153)(28, 198)(29, 199)(30, 155)(31, 185)(32, 158)(33, 201)(34, 157)(35, 194)(36, 160)(37, 167)(38, 206)(39, 177)(40, 207)(41, 205)(42, 162)(43, 210)(44, 163)(45, 212)(46, 165)(47, 211)(48, 168)(49, 209)(50, 169)(51, 175)(52, 215)(53, 178)(54, 213)(55, 208)(56, 214)(57, 176)(58, 179)(59, 180)(60, 203)(61, 181)(62, 202)(63, 183)(64, 216)(65, 186)(66, 197)(67, 187)(68, 196)(69, 191)(70, 192)(71, 200)(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) :: { ( 2, 6, 2, 6, 2, 6, 2, 6 ), ( 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 E13.1288
Graph:: bipartite
	v = 24 e = 144 f = 96
	degree seq :: [ 8^18, 24^6 ]

E13.1288 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 4, 12})
Quotient :: dipole
Aut^+ = C3 x S4 (small group id <72, 42>)
Aut   = S3 x S4 (small group id <144, 183>)
|r| :: 2
Presentation :: [ Y1, R^2, Y2^3, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, Y3^-1 * Y2^-1 * Y3^3 * Y2^-1, (Y3 * Y2^-1)^4, (Y3 * Y2 * Y3)^3, (Y3^-1 * Y1^-1)^12 ]
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, 168, 240, 169, 241)(155, 227, 172, 244, 173, 245)(156, 228, 174, 246, 175, 247)(159, 231, 171, 243, 179, 251)(161, 233, 181, 253, 182, 254)(165, 237, 184, 256, 187, 259)(166, 238, 180, 252, 189, 261)(167, 239, 190, 262, 191, 263)(170, 242, 195, 267, 185, 257)(176, 248, 198, 270, 201, 273)(177, 249, 197, 269, 202, 274)(178, 250, 186, 258, 200, 272)(183, 255, 209, 281, 199, 271)(188, 260, 204, 276, 212, 284)(192, 264, 206, 278, 211, 283)(193, 265, 208, 280, 203, 275)(194, 266, 215, 287, 214, 286)(196, 268, 210, 282, 207, 279)(205, 277, 213, 285, 216, 288)
	L = (1, 147)(2, 150)(3, 153)(4, 155)(5, 145)(6, 161)(7, 146)(8, 166)(9, 160)(10, 170)(11, 167)(12, 148)(13, 169)(14, 165)(15, 149)(16, 180)(17, 172)(18, 183)(19, 182)(20, 176)(21, 151)(22, 188)(23, 152)(24, 192)(25, 194)(26, 193)(27, 154)(28, 189)(29, 197)(30, 191)(31, 159)(32, 156)(33, 157)(34, 158)(35, 203)(36, 206)(37, 205)(38, 208)(39, 207)(40, 162)(41, 163)(42, 164)(43, 210)(44, 195)(45, 213)(46, 212)(47, 196)(48, 201)(49, 168)(50, 184)(51, 211)(52, 171)(53, 214)(54, 173)(55, 174)(56, 175)(57, 215)(58, 204)(59, 177)(60, 178)(61, 179)(62, 209)(63, 181)(64, 198)(65, 216)(66, 185)(67, 186)(68, 187)(69, 202)(70, 190)(71, 199)(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, 24 ), ( 8, 24, 8, 24, 8, 24 ) }
Outer automorphisms :: reflexible
Dual of E13.1287
Graph:: simple bipartite
	v = 96 e = 144 f = 24
	degree seq :: [ 2^72, 6^24 ]

E13.1289 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 4, 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 * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, Y3 * Y1^3 * Y3 * Y1^-1, (Y3 * Y2^-1)^3, (Y1 * Y3)^4, (Y1 * Y3^-1 * Y1)^3 ]
Map:: polytopal
	R = (1, 73, 2, 74, 6, 78, 16, 88, 36, 108, 62, 134, 72, 144, 71, 143, 49, 121, 25, 97, 12, 84, 4, 76)(3, 75, 9, 81, 22, 94, 8, 80, 21, 93, 43, 115, 41, 113, 65, 137, 55, 127, 34, 106, 26, 98, 10, 82)(5, 77, 14, 86, 32, 104, 24, 96, 44, 116, 70, 142, 58, 130, 54, 126, 29, 101, 11, 83, 28, 100, 15, 87)(7, 79, 19, 91, 39, 111, 18, 90, 38, 110, 50, 122, 64, 136, 51, 123, 27, 99, 45, 117, 42, 114, 20, 92)(13, 85, 17, 89, 37, 109, 53, 125, 33, 105, 61, 133, 68, 140, 60, 132, 57, 129, 30, 102, 56, 128, 31, 103)(23, 95, 47, 119, 63, 135, 46, 118, 69, 141, 52, 124, 67, 139, 40, 112, 35, 107, 59, 131, 66, 138, 48, 120)(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, 174)(13, 148)(14, 177)(15, 178)(16, 158)(17, 162)(18, 150)(19, 184)(20, 156)(21, 188)(22, 189)(23, 168)(24, 153)(25, 171)(26, 194)(27, 154)(28, 196)(29, 193)(30, 164)(31, 202)(32, 203)(33, 160)(34, 179)(35, 159)(36, 165)(37, 207)(38, 209)(39, 200)(40, 185)(41, 163)(42, 212)(43, 213)(44, 180)(45, 190)(46, 166)(47, 175)(48, 170)(49, 199)(50, 192)(51, 216)(52, 197)(53, 172)(54, 187)(55, 173)(56, 210)(57, 215)(58, 191)(59, 204)(60, 176)(61, 195)(62, 182)(63, 208)(64, 181)(65, 206)(66, 183)(67, 186)(68, 211)(69, 198)(70, 201)(71, 214)(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, 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 E13.1286
Graph:: simple bipartite
	v = 78 e = 144 f = 42
	degree seq :: [ 2^72, 24^6 ]

E13.1290 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 4, 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^-1, Y1 * Y3^-2, Y1^3, (R * Y3)^2, (R * Y1)^2, Y2^-2 * Y3 * Y2 * Y1^-1 * Y2^-1, Y2 * Y3 * Y2^-3 * Y1^-1, (R * Y2 * Y3^-1)^2, (Y3 * Y2^-1)^4, Y2^2 * Y1^-1 * Y2^-1 * Y3^-1 * Y2^-1 * Y1^-1 * Y2^2, Y2^2 * Y3 * Y2 * Y1 * Y2 * Y1 * Y2 * Y3 * Y2, Y3 * Y2 * Y3^-1 * Y2^2 * Y3 * Y2^2 * Y1^-1 * Y2^-1 ]
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, 28, 100, 25, 97)(12, 84, 30, 102, 31, 103)(15, 87, 35, 107, 23, 95)(17, 89, 38, 110, 39, 111)(21, 93, 43, 115, 37, 109)(22, 94, 44, 116, 46, 118)(27, 99, 40, 112, 49, 121)(29, 101, 54, 126, 55, 127)(32, 104, 57, 129, 53, 125)(33, 105, 41, 113, 56, 128)(34, 106, 59, 131, 36, 108)(42, 114, 67, 139, 52, 124)(45, 117, 60, 132, 63, 135)(47, 119, 71, 143, 69, 141)(48, 120, 62, 134, 68, 140)(50, 122, 70, 142, 72, 144)(51, 123, 64, 136, 58, 130)(61, 133, 66, 138, 65, 137)(145, 217, 147, 219, 153, 225, 169, 241, 193, 265, 216, 288, 211, 283, 210, 282, 185, 257, 163, 235, 159, 231, 149, 221)(146, 218, 150, 222, 161, 233, 154, 226, 171, 243, 195, 267, 190, 262, 214, 286, 200, 272, 174, 246, 165, 237, 151, 223)(148, 220, 155, 227, 173, 245, 162, 234, 184, 256, 209, 281, 203, 275, 202, 274, 177, 249, 157, 229, 176, 248, 156, 228)(152, 224, 166, 238, 189, 261, 170, 242, 194, 266, 187, 259, 212, 284, 186, 258, 164, 236, 182, 254, 191, 263, 167, 239)(158, 230, 168, 240, 192, 264, 197, 269, 172, 244, 196, 268, 215, 287, 199, 271, 205, 277, 179, 251, 204, 276, 178, 250)(160, 232, 180, 252, 206, 278, 183, 255, 208, 280, 201, 273, 213, 285, 188, 260, 175, 247, 198, 270, 207, 279, 181, 253)
	L = (1, 148)(2, 145)(3, 154)(4, 146)(5, 158)(6, 162)(7, 164)(8, 147)(9, 170)(10, 152)(11, 169)(12, 175)(13, 149)(14, 157)(15, 167)(16, 150)(17, 183)(18, 160)(19, 151)(20, 163)(21, 181)(22, 190)(23, 179)(24, 153)(25, 172)(26, 168)(27, 193)(28, 155)(29, 199)(30, 156)(31, 174)(32, 197)(33, 200)(34, 180)(35, 159)(36, 203)(37, 187)(38, 161)(39, 182)(40, 171)(41, 177)(42, 196)(43, 165)(44, 166)(45, 207)(46, 188)(47, 213)(48, 212)(49, 184)(50, 216)(51, 202)(52, 211)(53, 201)(54, 173)(55, 198)(56, 185)(57, 176)(58, 208)(59, 178)(60, 189)(61, 209)(62, 192)(63, 204)(64, 195)(65, 210)(66, 205)(67, 186)(68, 206)(69, 215)(70, 194)(71, 191)(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, 8, 2, 8, 2, 8 ), ( 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 E13.1291
Graph:: bipartite
	v = 30 e = 144 f = 90
	degree seq :: [ 6^24, 24^6 ]

E13.1291 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 4, 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, (R * Y3)^2, (R * Y1)^2, Y1^4, (R * Y2 * Y3^-1)^2, (Y3^-1 * Y1)^3, Y1^-1 * Y3^2 * Y1^-1 * Y3^-2, (Y3^-1 * Y1^-1)^3, Y3^3 * Y1^2 * Y3^3 * Y1^-2, (Y3 * Y1^-2 * Y3^-1 * Y1^-1)^2, (Y3 * Y2^-1)^12 ]
Map:: polytopal
	R = (1, 73, 2, 74, 6, 78, 4, 76)(3, 75, 9, 81, 25, 97, 11, 83)(5, 77, 14, 86, 35, 107, 15, 87)(7, 79, 19, 91, 43, 115, 21, 93)(8, 80, 22, 94, 47, 119, 23, 95)(10, 82, 28, 100, 38, 110, 20, 92)(12, 84, 31, 103, 56, 128, 32, 104)(13, 85, 33, 105, 52, 124, 26, 98)(16, 88, 34, 106, 42, 114, 24, 96)(17, 89, 37, 109, 60, 132, 39, 111)(18, 90, 40, 112, 64, 136, 41, 113)(27, 99, 45, 117, 63, 135, 53, 125)(29, 101, 46, 118, 65, 137, 51, 123)(30, 102, 48, 120, 61, 133, 54, 126)(36, 108, 44, 116, 62, 134, 57, 129)(49, 121, 66, 138, 59, 131, 70, 142)(50, 122, 71, 143, 72, 144, 67, 139)(55, 127, 68, 140, 58, 130, 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, 161)(7, 164)(8, 146)(9, 170)(10, 173)(11, 166)(12, 172)(13, 148)(14, 174)(15, 171)(16, 149)(17, 182)(18, 150)(19, 159)(20, 189)(21, 184)(22, 190)(23, 188)(24, 152)(25, 193)(26, 195)(27, 153)(28, 198)(29, 199)(30, 155)(31, 185)(32, 158)(33, 201)(34, 157)(35, 194)(36, 160)(37, 167)(38, 206)(39, 177)(40, 207)(41, 205)(42, 162)(43, 210)(44, 163)(45, 212)(46, 165)(47, 211)(48, 168)(49, 209)(50, 169)(51, 175)(52, 215)(53, 178)(54, 213)(55, 208)(56, 214)(57, 176)(58, 179)(59, 180)(60, 203)(61, 181)(62, 202)(63, 183)(64, 216)(65, 186)(66, 197)(67, 187)(68, 196)(69, 191)(70, 192)(71, 200)(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, 24 ), ( 6, 24, 6, 24, 6, 24, 6, 24 ) }
Outer automorphisms :: reflexible
Dual of E13.1290
Graph:: simple bipartite
	v = 90 e = 144 f = 30
	degree seq :: [ 2^72, 8^18 ]

E13.1292 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 12, 12})
Quotient :: regular
Aut^+ = (C3 x (C3 : C4)) : C2 (small group id <72, 21>)
Aut   = (C2 x S3 x S3) : C2 (small group id <144, 154>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, (T1^-1 * T2 * T1^-1)^2, (T2 * T1 * T2 * T1^-1)^3, T1^12, (T1 * T2)^12 ]
Map:: non-degenerate
	R = (1, 2, 5, 11, 20, 32, 47, 46, 31, 19, 10, 4)(3, 7, 15, 25, 39, 55, 62, 49, 33, 22, 12, 8)(6, 13, 9, 18, 29, 44, 60, 63, 48, 34, 21, 14)(16, 26, 17, 28, 35, 51, 64, 72, 69, 56, 40, 27)(23, 36, 24, 38, 50, 65, 71, 70, 61, 45, 30, 37)(41, 57, 42, 54, 68, 52, 67, 53, 66, 59, 43, 58)
	L = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 17)(10, 15)(11, 21)(13, 23)(14, 24)(18, 30)(19, 29)(20, 33)(22, 35)(25, 40)(26, 41)(27, 42)(28, 43)(31, 39)(32, 48)(34, 50)(36, 52)(37, 53)(38, 54)(44, 61)(45, 59)(46, 60)(47, 62)(49, 64)(51, 66)(55, 69)(56, 68)(57, 65)(58, 70)(63, 71)(67, 72)
	local type(s) :: { ( 12^12 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: ET+ VT+ AT+ REG+
Graph:: bipartite
	v = 6 e = 36 f = 6
	degree seq :: [ 12^6 ]

E13.1293 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 12, 12})
Quotient :: edge
Aut^+ = (C3 x (C3 : C4)) : C2 (small group id <72, 21>)
Aut   = (C2 x S3 x S3) : C2 (small group id <144, 154>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, (T2^2 * T1)^2, (T2^-1 * T1 * T2 * T1)^3, T2^12, (T2^-1 * T1)^12 ]
Map::
	R = (1, 3, 8, 17, 28, 43, 59, 46, 31, 19, 10, 4)(2, 5, 12, 22, 35, 51, 66, 54, 38, 24, 14, 6)(7, 15, 9, 18, 30, 45, 61, 70, 58, 42, 27, 16)(11, 20, 13, 23, 37, 53, 68, 72, 65, 50, 34, 21)(25, 39, 26, 41, 57, 62, 71, 63, 60, 44, 29, 40)(32, 47, 33, 49, 64, 55, 69, 56, 67, 52, 36, 48)(73, 74)(75, 79)(76, 81)(77, 83)(78, 85)(80, 86)(82, 84)(87, 97)(88, 98)(89, 99)(90, 101)(91, 102)(92, 104)(93, 105)(94, 106)(95, 108)(96, 109)(100, 110)(103, 107)(111, 127)(112, 128)(113, 121)(114, 129)(115, 130)(116, 124)(117, 132)(118, 133)(119, 134)(120, 135)(122, 136)(123, 137)(125, 139)(126, 140)(131, 138)(141, 144)(142, 143)
	L = (1, 73)(2, 74)(3, 75)(4, 76)(5, 77)(6, 78)(7, 79)(8, 80)(9, 81)(10, 82)(11, 83)(12, 84)(13, 85)(14, 86)(15, 87)(16, 88)(17, 89)(18, 90)(19, 91)(20, 92)(21, 93)(22, 94)(23, 95)(24, 96)(25, 97)(26, 98)(27, 99)(28, 100)(29, 101)(30, 102)(31, 103)(32, 104)(33, 105)(34, 106)(35, 107)(36, 108)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 24, 24 ), ( 24^12 ) }
Outer automorphisms :: reflexible
Dual of E13.1294
Transitivity :: ET+
Graph:: simple bipartite
	v = 42 e = 72 f = 6
	degree seq :: [ 2^36, 12^6 ]

E13.1294 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 12, 12})
Quotient :: loop
Aut^+ = (C3 x (C3 : C4)) : C2 (small group id <72, 21>)
Aut   = (C2 x S3 x S3) : C2 (small group id <144, 154>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, (T2^2 * T1)^2, (T2^-1 * T1 * T2 * T1)^3, T2^12, (T2^-1 * T1)^12 ]
Map::
	R = (1, 73, 3, 75, 8, 80, 17, 89, 28, 100, 43, 115, 59, 131, 46, 118, 31, 103, 19, 91, 10, 82, 4, 76)(2, 74, 5, 77, 12, 84, 22, 94, 35, 107, 51, 123, 66, 138, 54, 126, 38, 110, 24, 96, 14, 86, 6, 78)(7, 79, 15, 87, 9, 81, 18, 90, 30, 102, 45, 117, 61, 133, 70, 142, 58, 130, 42, 114, 27, 99, 16, 88)(11, 83, 20, 92, 13, 85, 23, 95, 37, 109, 53, 125, 68, 140, 72, 144, 65, 137, 50, 122, 34, 106, 21, 93)(25, 97, 39, 111, 26, 98, 41, 113, 57, 129, 62, 134, 71, 143, 63, 135, 60, 132, 44, 116, 29, 101, 40, 112)(32, 104, 47, 119, 33, 105, 49, 121, 64, 136, 55, 127, 69, 141, 56, 128, 67, 139, 52, 124, 36, 108, 48, 120)
	L = (1, 74)(2, 73)(3, 79)(4, 81)(5, 83)(6, 85)(7, 75)(8, 86)(9, 76)(10, 84)(11, 77)(12, 82)(13, 78)(14, 80)(15, 97)(16, 98)(17, 99)(18, 101)(19, 102)(20, 104)(21, 105)(22, 106)(23, 108)(24, 109)(25, 87)(26, 88)(27, 89)(28, 110)(29, 90)(30, 91)(31, 107)(32, 92)(33, 93)(34, 94)(35, 103)(36, 95)(37, 96)(38, 100)(39, 127)(40, 128)(41, 121)(42, 129)(43, 130)(44, 124)(45, 132)(46, 133)(47, 134)(48, 135)(49, 113)(50, 136)(51, 137)(52, 116)(53, 139)(54, 140)(55, 111)(56, 112)(57, 114)(58, 115)(59, 138)(60, 117)(61, 118)(62, 119)(63, 120)(64, 122)(65, 123)(66, 131)(67, 125)(68, 126)(69, 144)(70, 143)(71, 142)(72, 141)
	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 E13.1293
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 6 e = 72 f = 42
	degree seq :: [ 24^6 ]

E13.1295 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 12, 12})
Quotient :: dipole
Aut^+ = (C3 x (C3 : C4)) : C2 (small group id <72, 21>)
Aut   = (C2 x S3 x S3) : C2 (small group id <144, 154>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, (Y2^-1 * Y1 * Y2^-1)^2, Y2^12, (Y2 * Y1 * Y2^-1 * Y1)^3, (Y3 * Y2^-1)^12 ]
Map::
	R = (1, 73, 2, 74)(3, 75, 7, 79)(4, 76, 9, 81)(5, 77, 11, 83)(6, 78, 13, 85)(8, 80, 14, 86)(10, 82, 12, 84)(15, 87, 25, 97)(16, 88, 26, 98)(17, 89, 27, 99)(18, 90, 29, 101)(19, 91, 30, 102)(20, 92, 32, 104)(21, 93, 33, 105)(22, 94, 34, 106)(23, 95, 36, 108)(24, 96, 37, 109)(28, 100, 38, 110)(31, 103, 35, 107)(39, 111, 55, 127)(40, 112, 56, 128)(41, 113, 49, 121)(42, 114, 57, 129)(43, 115, 58, 130)(44, 116, 52, 124)(45, 117, 60, 132)(46, 118, 61, 133)(47, 119, 62, 134)(48, 120, 63, 135)(50, 122, 64, 136)(51, 123, 65, 137)(53, 125, 67, 139)(54, 126, 68, 140)(59, 131, 66, 138)(69, 141, 72, 144)(70, 142, 71, 143)(145, 217, 147, 219, 152, 224, 161, 233, 172, 244, 187, 259, 203, 275, 190, 262, 175, 247, 163, 235, 154, 226, 148, 220)(146, 218, 149, 221, 156, 228, 166, 238, 179, 251, 195, 267, 210, 282, 198, 270, 182, 254, 168, 240, 158, 230, 150, 222)(151, 223, 159, 231, 153, 225, 162, 234, 174, 246, 189, 261, 205, 277, 214, 286, 202, 274, 186, 258, 171, 243, 160, 232)(155, 227, 164, 236, 157, 229, 167, 239, 181, 253, 197, 269, 212, 284, 216, 288, 209, 281, 194, 266, 178, 250, 165, 237)(169, 241, 183, 255, 170, 242, 185, 257, 201, 273, 206, 278, 215, 287, 207, 279, 204, 276, 188, 260, 173, 245, 184, 256)(176, 248, 191, 263, 177, 249, 193, 265, 208, 280, 199, 271, 213, 285, 200, 272, 211, 283, 196, 268, 180, 252, 192, 264)
	L = (1, 146)(2, 145)(3, 151)(4, 153)(5, 155)(6, 157)(7, 147)(8, 158)(9, 148)(10, 156)(11, 149)(12, 154)(13, 150)(14, 152)(15, 169)(16, 170)(17, 171)(18, 173)(19, 174)(20, 176)(21, 177)(22, 178)(23, 180)(24, 181)(25, 159)(26, 160)(27, 161)(28, 182)(29, 162)(30, 163)(31, 179)(32, 164)(33, 165)(34, 166)(35, 175)(36, 167)(37, 168)(38, 172)(39, 199)(40, 200)(41, 193)(42, 201)(43, 202)(44, 196)(45, 204)(46, 205)(47, 206)(48, 207)(49, 185)(50, 208)(51, 209)(52, 188)(53, 211)(54, 212)(55, 183)(56, 184)(57, 186)(58, 187)(59, 210)(60, 189)(61, 190)(62, 191)(63, 192)(64, 194)(65, 195)(66, 203)(67, 197)(68, 198)(69, 216)(70, 215)(71, 214)(72, 213)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 2, 24, 2, 24 ), ( 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 E13.1296
Graph:: bipartite
	v = 42 e = 144 f = 78
	degree seq :: [ 4^36, 24^6 ]

E13.1296 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 12, 12})
Quotient :: dipole
Aut^+ = (C3 x (C3 : C4)) : C2 (small group id <72, 21>)
Aut   = (C2 x S3 x S3) : C2 (small group id <144, 154>)
|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, Y1^12, Y3 * Y1 * Y3 * Y1^-1 * Y3 * Y1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1 * Y3^-1 * Y1^-1, (Y3^-1 * Y1)^12 ]
Map::
	R = (1, 73, 2, 74, 5, 77, 11, 83, 20, 92, 32, 104, 47, 119, 46, 118, 31, 103, 19, 91, 10, 82, 4, 76)(3, 75, 7, 79, 15, 87, 25, 97, 39, 111, 55, 127, 62, 134, 49, 121, 33, 105, 22, 94, 12, 84, 8, 80)(6, 78, 13, 85, 9, 81, 18, 90, 29, 101, 44, 116, 60, 132, 63, 135, 48, 120, 34, 106, 21, 93, 14, 86)(16, 88, 26, 98, 17, 89, 28, 100, 35, 107, 51, 123, 64, 136, 72, 144, 69, 141, 56, 128, 40, 112, 27, 99)(23, 95, 36, 108, 24, 96, 38, 110, 50, 122, 65, 137, 71, 143, 70, 142, 61, 133, 45, 117, 30, 102, 37, 109)(41, 113, 57, 129, 42, 114, 54, 126, 68, 140, 52, 124, 67, 139, 53, 125, 66, 138, 59, 131, 43, 115, 58, 130)(145, 217)(146, 218)(147, 219)(148, 220)(149, 221)(150, 222)(151, 223)(152, 224)(153, 225)(154, 226)(155, 227)(156, 228)(157, 229)(158, 230)(159, 231)(160, 232)(161, 233)(162, 234)(163, 235)(164, 236)(165, 237)(166, 238)(167, 239)(168, 240)(169, 241)(170, 242)(171, 243)(172, 244)(173, 245)(174, 246)(175, 247)(176, 248)(177, 249)(178, 250)(179, 251)(180, 252)(181, 253)(182, 254)(183, 255)(184, 256)(185, 257)(186, 258)(187, 259)(188, 260)(189, 261)(190, 262)(191, 263)(192, 264)(193, 265)(194, 266)(195, 267)(196, 268)(197, 269)(198, 270)(199, 271)(200, 272)(201, 273)(202, 274)(203, 275)(204, 276)(205, 277)(206, 278)(207, 279)(208, 280)(209, 281)(210, 282)(211, 283)(212, 284)(213, 285)(214, 286)(215, 287)(216, 288)
	L = (1, 147)(2, 150)(3, 145)(4, 153)(5, 156)(6, 146)(7, 160)(8, 161)(9, 148)(10, 159)(11, 165)(12, 149)(13, 167)(14, 168)(15, 154)(16, 151)(17, 152)(18, 174)(19, 173)(20, 177)(21, 155)(22, 179)(23, 157)(24, 158)(25, 184)(26, 185)(27, 186)(28, 187)(29, 163)(30, 162)(31, 183)(32, 192)(33, 164)(34, 194)(35, 166)(36, 196)(37, 197)(38, 198)(39, 175)(40, 169)(41, 170)(42, 171)(43, 172)(44, 205)(45, 203)(46, 204)(47, 206)(48, 176)(49, 208)(50, 178)(51, 210)(52, 180)(53, 181)(54, 182)(55, 213)(56, 212)(57, 209)(58, 214)(59, 189)(60, 190)(61, 188)(62, 191)(63, 215)(64, 193)(65, 201)(66, 195)(67, 216)(68, 200)(69, 199)(70, 202)(71, 207)(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, 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 E13.1295
Graph:: simple bipartite
	v = 78 e = 144 f = 42
	degree seq :: [ 2^72, 24^6 ]

E13.1297 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 12, 12})
Quotient :: regular
Aut^+ = C12 x S3 (small group id <72, 27>)
Aut   = D24 x S3 (small group id <144, 144>)
|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, T1^12 ]
Map:: non-degenerate
	R = (1, 2, 5, 11, 23, 39, 53, 52, 38, 22, 10, 4)(3, 7, 15, 24, 41, 56, 64, 61, 49, 35, 18, 8)(6, 13, 27, 40, 55, 66, 63, 51, 37, 21, 30, 14)(9, 19, 26, 12, 25, 42, 54, 65, 62, 50, 36, 20)(16, 28, 43, 57, 67, 71, 70, 60, 48, 34, 46, 32)(17, 29, 44, 31, 45, 58, 68, 72, 69, 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, 64)(55, 67)(56, 68)(61, 70)(62, 69)(65, 71)(66, 72)
	local type(s) :: { ( 12^12 ) }
Outer automorphisms :: reflexible
Dual of E13.1298
Transitivity :: ET+ VT+ AT+ REG+
Graph:: bipartite
	v = 6 e = 36 f = 6
	degree seq :: [ 12^6 ]

E13.1298 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 12, 12})
Quotient :: regular
Aut^+ = C12 x S3 (small group id <72, 27>)
Aut   = D24 x S3 (small group id <144, 144>)
|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 * T2 * T1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1, T1^12, (T1^-1 * T2)^12 ]
Map:: non-degenerate
	R = (1, 2, 5, 11, 20, 32, 47, 46, 31, 19, 10, 4)(3, 7, 12, 22, 33, 49, 60, 57, 43, 28, 17, 8)(6, 13, 21, 34, 48, 61, 59, 45, 30, 18, 9, 14)(15, 25, 35, 51, 62, 69, 66, 56, 42, 27, 16, 26)(23, 36, 50, 63, 68, 67, 58, 44, 29, 38, 24, 37)(39, 52, 64, 70, 72, 71, 65, 55, 41, 54, 40, 53)
	L = (1, 3)(2, 6)(4, 9)(5, 12)(7, 15)(8, 16)(10, 17)(11, 21)(13, 23)(14, 24)(18, 29)(19, 30)(20, 33)(22, 35)(25, 39)(26, 40)(27, 41)(28, 42)(31, 43)(32, 48)(34, 50)(36, 52)(37, 53)(38, 54)(44, 55)(45, 58)(46, 59)(47, 60)(49, 62)(51, 64)(56, 65)(57, 66)(61, 68)(63, 70)(67, 71)(69, 72)
	local type(s) :: { ( 12^12 ) }
Outer automorphisms :: reflexible
Dual of E13.1297
Transitivity :: ET+ VT+ AT+ REG+
Graph:: bipartite
	v = 6 e = 36 f = 6
	degree seq :: [ 12^6 ]

E13.1299 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 12, 12})
Quotient :: edge
Aut^+ = C12 x S3 (small group id <72, 27>)
Aut   = D24 x S3 (small group id <144, 144>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, T2^-1 * T1 * T2^3 * T1 * T2^-2, T1 * T2 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2, T2^12 ]
Map::
	R = (1, 3, 8, 18, 35, 49, 61, 52, 38, 22, 10, 4)(2, 5, 12, 26, 43, 55, 66, 58, 46, 30, 14, 6)(7, 15, 31, 47, 59, 69, 63, 51, 37, 21, 32, 16)(9, 19, 34, 17, 33, 48, 60, 70, 62, 50, 36, 20)(11, 23, 39, 53, 64, 71, 68, 57, 45, 29, 40, 24)(13, 27, 42, 25, 41, 54, 65, 72, 67, 56, 44, 28)(73, 74)(75, 79)(76, 81)(77, 83)(78, 85)(80, 89)(82, 93)(84, 97)(86, 101)(87, 95)(88, 99)(90, 98)(91, 96)(92, 100)(94, 102)(103, 113)(104, 112)(105, 111)(106, 114)(107, 119)(108, 117)(109, 116)(110, 122)(115, 125)(118, 128)(120, 126)(121, 132)(123, 129)(124, 135)(127, 137)(130, 140)(131, 136)(133, 138)(134, 139)(141, 144)(142, 143)
	L = (1, 73)(2, 74)(3, 75)(4, 76)(5, 77)(6, 78)(7, 79)(8, 80)(9, 81)(10, 82)(11, 83)(12, 84)(13, 85)(14, 86)(15, 87)(16, 88)(17, 89)(18, 90)(19, 91)(20, 92)(21, 93)(22, 94)(23, 95)(24, 96)(25, 97)(26, 98)(27, 99)(28, 100)(29, 101)(30, 102)(31, 103)(32, 104)(33, 105)(34, 106)(35, 107)(36, 108)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 24, 24 ), ( 24^12 ) }
Outer automorphisms :: reflexible
Dual of E13.1303
Transitivity :: ET+
Graph:: simple bipartite
	v = 42 e = 72 f = 6
	degree seq :: [ 2^36, 12^6 ]

E13.1300 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 12, 12})
Quotient :: edge
Aut^+ = C12 x S3 (small group id <72, 27>)
Aut   = D24 x S3 (small group id <144, 144>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, T2^2 * T1 * T2^-2 * T1, T2 * T1 * T2^-1 * T1 * T2 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2 * T1, T2^12, (T1 * T2^-1 * T1 * T2^-3)^3 ]
Map::
	R = (1, 3, 8, 17, 28, 43, 57, 46, 31, 19, 10, 4)(2, 5, 12, 22, 35, 51, 62, 54, 38, 24, 14, 6)(7, 15, 26, 41, 56, 66, 59, 45, 30, 18, 9, 16)(11, 20, 33, 49, 61, 69, 64, 53, 37, 23, 13, 21)(25, 39, 55, 65, 71, 67, 58, 44, 29, 42, 27, 40)(32, 47, 60, 68, 72, 70, 63, 52, 36, 50, 34, 48)(73, 74)(75, 79)(76, 81)(77, 83)(78, 85)(80, 84)(82, 86)(87, 97)(88, 99)(89, 98)(90, 101)(91, 102)(92, 104)(93, 106)(94, 105)(95, 108)(96, 109)(100, 107)(103, 110)(111, 119)(112, 120)(113, 127)(114, 122)(115, 128)(116, 124)(117, 130)(118, 131)(121, 132)(123, 133)(125, 135)(126, 136)(129, 134)(137, 140)(138, 143)(139, 142)(141, 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, 24 ), ( 24^12 ) }
Outer automorphisms :: reflexible
Dual of E13.1302
Transitivity :: ET+
Graph:: simple bipartite
	v = 42 e = 72 f = 6
	degree seq :: [ 2^36, 12^6 ]

E13.1301 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 12, 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^-1 * T1^-1)^2, T2 * T1^-1 * T2^-3 * T1^-1, T1^-1 * T2^-3 * T1^-1 * T2, T1^-3 * T2^-1 * T1^2 * T2^-1 * T1^-1, T2^-1 * T1^2 * T2^-1 * T1^8, T1^-1 * T2 * T1^-1 * T2^9 ]
Map:: polytopal non-degenerate
	R = (1, 3, 10, 25, 47, 61, 67, 59, 44, 21, 15, 5)(2, 7, 19, 11, 27, 48, 63, 71, 60, 39, 22, 8)(4, 12, 26, 49, 62, 68, 53, 43, 33, 14, 24, 9)(6, 17, 37, 20, 41, 28, 51, 64, 72, 56, 40, 18)(13, 30, 50, 65, 70, 54, 34, 32, 46, 23, 45, 29)(16, 35, 55, 38, 58, 42, 31, 52, 66, 69, 57, 36)(73, 74, 78, 88, 106, 125, 139, 135, 123, 103, 85, 76)(75, 81, 95, 107, 90, 111, 131, 140, 137, 124, 100, 83)(77, 86, 104, 108, 128, 143, 133, 121, 102, 114, 92, 79)(80, 93, 115, 126, 141, 136, 120, 97, 84, 101, 110, 89)(82, 91, 109, 127, 118, 105, 116, 132, 144, 138, 122, 98)(87, 94, 112, 129, 142, 134, 119, 99, 113, 130, 117, 96)
	L = (1, 73)(2, 74)(3, 75)(4, 76)(5, 77)(6, 78)(7, 79)(8, 80)(9, 81)(10, 82)(11, 83)(12, 84)(13, 85)(14, 86)(15, 87)(16, 88)(17, 89)(18, 90)(19, 91)(20, 92)(21, 93)(22, 94)(23, 95)(24, 96)(25, 97)(26, 98)(27, 99)(28, 100)(29, 101)(30, 102)(31, 103)(32, 104)(33, 105)(34, 106)(35, 107)(36, 108)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 4^12 ) }
Outer automorphisms :: reflexible
Dual of E13.1304
Transitivity :: ET+
Graph:: bipartite
	v = 12 e = 72 f = 36
	degree seq :: [ 12^12 ]

E13.1302 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 12, 12})
Quotient :: loop
Aut^+ = C12 x S3 (small group id <72, 27>)
Aut   = D24 x S3 (small group id <144, 144>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, T2^-1 * T1 * T2^3 * T1 * T2^-2, T1 * T2 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2, T2^12 ]
Map::
	R = (1, 73, 3, 75, 8, 80, 18, 90, 35, 107, 49, 121, 61, 133, 52, 124, 38, 110, 22, 94, 10, 82, 4, 76)(2, 74, 5, 77, 12, 84, 26, 98, 43, 115, 55, 127, 66, 138, 58, 130, 46, 118, 30, 102, 14, 86, 6, 78)(7, 79, 15, 87, 31, 103, 47, 119, 59, 131, 69, 141, 63, 135, 51, 123, 37, 109, 21, 93, 32, 104, 16, 88)(9, 81, 19, 91, 34, 106, 17, 89, 33, 105, 48, 120, 60, 132, 70, 142, 62, 134, 50, 122, 36, 108, 20, 92)(11, 83, 23, 95, 39, 111, 53, 125, 64, 136, 71, 143, 68, 140, 57, 129, 45, 117, 29, 101, 40, 112, 24, 96)(13, 85, 27, 99, 42, 114, 25, 97, 41, 113, 54, 126, 65, 137, 72, 144, 67, 139, 56, 128, 44, 116, 28, 100)
	L = (1, 74)(2, 73)(3, 79)(4, 81)(5, 83)(6, 85)(7, 75)(8, 89)(9, 76)(10, 93)(11, 77)(12, 97)(13, 78)(14, 101)(15, 95)(16, 99)(17, 80)(18, 98)(19, 96)(20, 100)(21, 82)(22, 102)(23, 87)(24, 91)(25, 84)(26, 90)(27, 88)(28, 92)(29, 86)(30, 94)(31, 113)(32, 112)(33, 111)(34, 114)(35, 119)(36, 117)(37, 116)(38, 122)(39, 105)(40, 104)(41, 103)(42, 106)(43, 125)(44, 109)(45, 108)(46, 128)(47, 107)(48, 126)(49, 132)(50, 110)(51, 129)(52, 135)(53, 115)(54, 120)(55, 137)(56, 118)(57, 123)(58, 140)(59, 136)(60, 121)(61, 138)(62, 139)(63, 124)(64, 131)(65, 127)(66, 133)(67, 134)(68, 130)(69, 144)(70, 143)(71, 142)(72, 141)
	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 E13.1300
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 6 e = 72 f = 42
	degree seq :: [ 24^6 ]

E13.1303 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 12, 12})
Quotient :: loop
Aut^+ = C12 x S3 (small group id <72, 27>)
Aut   = D24 x S3 (small group id <144, 144>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, T2^2 * T1 * T2^-2 * T1, T2 * T1 * T2^-1 * T1 * T2 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2 * T1, T2^12, (T1 * T2^-1 * T1 * T2^-3)^3 ]
Map::
	R = (1, 73, 3, 75, 8, 80, 17, 89, 28, 100, 43, 115, 57, 129, 46, 118, 31, 103, 19, 91, 10, 82, 4, 76)(2, 74, 5, 77, 12, 84, 22, 94, 35, 107, 51, 123, 62, 134, 54, 126, 38, 110, 24, 96, 14, 86, 6, 78)(7, 79, 15, 87, 26, 98, 41, 113, 56, 128, 66, 138, 59, 131, 45, 117, 30, 102, 18, 90, 9, 81, 16, 88)(11, 83, 20, 92, 33, 105, 49, 121, 61, 133, 69, 141, 64, 136, 53, 125, 37, 109, 23, 95, 13, 85, 21, 93)(25, 97, 39, 111, 55, 127, 65, 137, 71, 143, 67, 139, 58, 130, 44, 116, 29, 101, 42, 114, 27, 99, 40, 112)(32, 104, 47, 119, 60, 132, 68, 140, 72, 144, 70, 142, 63, 135, 52, 124, 36, 108, 50, 122, 34, 106, 48, 120)
	L = (1, 74)(2, 73)(3, 79)(4, 81)(5, 83)(6, 85)(7, 75)(8, 84)(9, 76)(10, 86)(11, 77)(12, 80)(13, 78)(14, 82)(15, 97)(16, 99)(17, 98)(18, 101)(19, 102)(20, 104)(21, 106)(22, 105)(23, 108)(24, 109)(25, 87)(26, 89)(27, 88)(28, 107)(29, 90)(30, 91)(31, 110)(32, 92)(33, 94)(34, 93)(35, 100)(36, 95)(37, 96)(38, 103)(39, 119)(40, 120)(41, 127)(42, 122)(43, 128)(44, 124)(45, 130)(46, 131)(47, 111)(48, 112)(49, 132)(50, 114)(51, 133)(52, 116)(53, 135)(54, 136)(55, 113)(56, 115)(57, 134)(58, 117)(59, 118)(60, 121)(61, 123)(62, 129)(63, 125)(64, 126)(65, 140)(66, 143)(67, 142)(68, 137)(69, 144)(70, 139)(71, 138)(72, 141)
	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 E13.1299
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 6 e = 72 f = 42
	degree seq :: [ 24^6 ]

E13.1304 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 12, 12})
Quotient :: loop
Aut^+ = C12 x S3 (small group id <72, 27>)
Aut   = D24 x S3 (small group id <144, 144>)
|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, T1^12 ]
Map:: polytopal non-degenerate
	R = (1, 73, 3, 75)(2, 74, 6, 78)(4, 76, 9, 81)(5, 77, 12, 84)(7, 79, 16, 88)(8, 80, 17, 89)(10, 82, 21, 93)(11, 83, 24, 96)(13, 85, 28, 100)(14, 86, 29, 101)(15, 87, 31, 103)(18, 90, 34, 106)(19, 91, 32, 104)(20, 92, 33, 105)(22, 94, 35, 107)(23, 95, 40, 112)(25, 97, 43, 115)(26, 98, 44, 116)(27, 99, 45, 117)(30, 102, 46, 118)(36, 108, 48, 120)(37, 109, 47, 119)(38, 110, 50, 122)(39, 111, 54, 126)(41, 113, 57, 129)(42, 114, 58, 130)(49, 121, 59, 131)(51, 123, 60, 132)(52, 124, 63, 135)(53, 125, 64, 136)(55, 127, 67, 139)(56, 128, 68, 140)(61, 133, 70, 142)(62, 134, 69, 141)(65, 137, 71, 143)(66, 138, 72, 144)
	L = (1, 74)(2, 77)(3, 79)(4, 73)(5, 83)(6, 85)(7, 87)(8, 75)(9, 91)(10, 76)(11, 95)(12, 97)(13, 99)(14, 78)(15, 96)(16, 100)(17, 101)(18, 80)(19, 98)(20, 81)(21, 102)(22, 82)(23, 111)(24, 113)(25, 114)(26, 84)(27, 112)(28, 115)(29, 116)(30, 86)(31, 117)(32, 88)(33, 89)(34, 118)(35, 90)(36, 92)(37, 93)(38, 94)(39, 125)(40, 127)(41, 128)(42, 126)(43, 129)(44, 103)(45, 130)(46, 104)(47, 105)(48, 106)(49, 107)(50, 108)(51, 109)(52, 110)(53, 124)(54, 137)(55, 138)(56, 136)(57, 139)(58, 140)(59, 119)(60, 120)(61, 121)(62, 122)(63, 123)(64, 133)(65, 134)(66, 135)(67, 143)(68, 144)(69, 131)(70, 132)(71, 142)(72, 141)
	local type(s) :: { ( 12^4 ) }
Outer automorphisms :: reflexible
Dual of E13.1301
Transitivity :: ET+ VT+ AT
Graph:: simple bipartite
	v = 36 e = 72 f = 12
	degree seq :: [ 4^36 ]

E13.1305 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 12, 12})
Quotient :: dipole
Aut^+ = C12 x S3 (small group id <72, 27>)
Aut   = D24 x S3 (small group id <144, 144>)
|r| :: 2
Presentation :: [ Y1^2, 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, Y2^12, (Y3 * Y2^-1)^12 ]
Map::
	R = (1, 73, 2, 74)(3, 75, 7, 79)(4, 76, 9, 81)(5, 77, 11, 83)(6, 78, 13, 85)(8, 80, 17, 89)(10, 82, 21, 93)(12, 84, 25, 97)(14, 86, 29, 101)(15, 87, 23, 95)(16, 88, 27, 99)(18, 90, 26, 98)(19, 91, 24, 96)(20, 92, 28, 100)(22, 94, 30, 102)(31, 103, 41, 113)(32, 104, 40, 112)(33, 105, 39, 111)(34, 106, 42, 114)(35, 107, 47, 119)(36, 108, 45, 117)(37, 109, 44, 116)(38, 110, 50, 122)(43, 115, 53, 125)(46, 118, 56, 128)(48, 120, 54, 126)(49, 121, 60, 132)(51, 123, 57, 129)(52, 124, 63, 135)(55, 127, 65, 137)(58, 130, 68, 140)(59, 131, 64, 136)(61, 133, 66, 138)(62, 134, 67, 139)(69, 141, 72, 144)(70, 142, 71, 143)(145, 217, 147, 219, 152, 224, 162, 234, 179, 251, 193, 265, 205, 277, 196, 268, 182, 254, 166, 238, 154, 226, 148, 220)(146, 218, 149, 221, 156, 228, 170, 242, 187, 259, 199, 271, 210, 282, 202, 274, 190, 262, 174, 246, 158, 230, 150, 222)(151, 223, 159, 231, 175, 247, 191, 263, 203, 275, 213, 285, 207, 279, 195, 267, 181, 253, 165, 237, 176, 248, 160, 232)(153, 225, 163, 235, 178, 250, 161, 233, 177, 249, 192, 264, 204, 276, 214, 286, 206, 278, 194, 266, 180, 252, 164, 236)(155, 227, 167, 239, 183, 255, 197, 269, 208, 280, 215, 287, 212, 284, 201, 273, 189, 261, 173, 245, 184, 256, 168, 240)(157, 229, 171, 243, 186, 258, 169, 241, 185, 257, 198, 270, 209, 281, 216, 288, 211, 283, 200, 272, 188, 260, 172, 244)
	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, 167)(16, 171)(17, 152)(18, 170)(19, 168)(20, 172)(21, 154)(22, 174)(23, 159)(24, 163)(25, 156)(26, 162)(27, 160)(28, 164)(29, 158)(30, 166)(31, 185)(32, 184)(33, 183)(34, 186)(35, 191)(36, 189)(37, 188)(38, 194)(39, 177)(40, 176)(41, 175)(42, 178)(43, 197)(44, 181)(45, 180)(46, 200)(47, 179)(48, 198)(49, 204)(50, 182)(51, 201)(52, 207)(53, 187)(54, 192)(55, 209)(56, 190)(57, 195)(58, 212)(59, 208)(60, 193)(61, 210)(62, 211)(63, 196)(64, 203)(65, 199)(66, 205)(67, 206)(68, 202)(69, 216)(70, 215)(71, 214)(72, 213)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 2, 24, 2, 24 ), ( 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 E13.1309
Graph:: bipartite
	v = 42 e = 144 f = 78
	degree seq :: [ 4^36, 24^6 ]

E13.1306 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 12, 12})
Quotient :: dipole
Aut^+ = C12 x S3 (small group id <72, 27>)
Aut   = D24 x S3 (small group id <144, 144>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y2^2 * Y1 * Y2^-2 * Y1, (Y2^-1 * R * Y2^-1)^2, Y2 * Y1 * Y2^-1 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2 * Y1, Y2^12, (Y3 * Y2^-1)^12 ]
Map::
	R = (1, 73, 2, 74)(3, 75, 7, 79)(4, 76, 9, 81)(5, 77, 11, 83)(6, 78, 13, 85)(8, 80, 12, 84)(10, 82, 14, 86)(15, 87, 25, 97)(16, 88, 27, 99)(17, 89, 26, 98)(18, 90, 29, 101)(19, 91, 30, 102)(20, 92, 32, 104)(21, 93, 34, 106)(22, 94, 33, 105)(23, 95, 36, 108)(24, 96, 37, 109)(28, 100, 35, 107)(31, 103, 38, 110)(39, 111, 47, 119)(40, 112, 48, 120)(41, 113, 55, 127)(42, 114, 50, 122)(43, 115, 56, 128)(44, 116, 52, 124)(45, 117, 58, 130)(46, 118, 59, 131)(49, 121, 60, 132)(51, 123, 61, 133)(53, 125, 63, 135)(54, 126, 64, 136)(57, 129, 62, 134)(65, 137, 68, 140)(66, 138, 71, 143)(67, 139, 70, 142)(69, 141, 72, 144)(145, 217, 147, 219, 152, 224, 161, 233, 172, 244, 187, 259, 201, 273, 190, 262, 175, 247, 163, 235, 154, 226, 148, 220)(146, 218, 149, 221, 156, 228, 166, 238, 179, 251, 195, 267, 206, 278, 198, 270, 182, 254, 168, 240, 158, 230, 150, 222)(151, 223, 159, 231, 170, 242, 185, 257, 200, 272, 210, 282, 203, 275, 189, 261, 174, 246, 162, 234, 153, 225, 160, 232)(155, 227, 164, 236, 177, 249, 193, 265, 205, 277, 213, 285, 208, 280, 197, 269, 181, 253, 167, 239, 157, 229, 165, 237)(169, 241, 183, 255, 199, 271, 209, 281, 215, 287, 211, 283, 202, 274, 188, 260, 173, 245, 186, 258, 171, 243, 184, 256)(176, 248, 191, 263, 204, 276, 212, 284, 216, 288, 214, 286, 207, 279, 196, 268, 180, 252, 194, 266, 178, 250, 192, 264)
	L = (1, 146)(2, 145)(3, 151)(4, 153)(5, 155)(6, 157)(7, 147)(8, 156)(9, 148)(10, 158)(11, 149)(12, 152)(13, 150)(14, 154)(15, 169)(16, 171)(17, 170)(18, 173)(19, 174)(20, 176)(21, 178)(22, 177)(23, 180)(24, 181)(25, 159)(26, 161)(27, 160)(28, 179)(29, 162)(30, 163)(31, 182)(32, 164)(33, 166)(34, 165)(35, 172)(36, 167)(37, 168)(38, 175)(39, 191)(40, 192)(41, 199)(42, 194)(43, 200)(44, 196)(45, 202)(46, 203)(47, 183)(48, 184)(49, 204)(50, 186)(51, 205)(52, 188)(53, 207)(54, 208)(55, 185)(56, 187)(57, 206)(58, 189)(59, 190)(60, 193)(61, 195)(62, 201)(63, 197)(64, 198)(65, 212)(66, 215)(67, 214)(68, 209)(69, 216)(70, 211)(71, 210)(72, 213)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 2, 24, 2, 24 ), ( 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 E13.1310
Graph:: bipartite
	v = 42 e = 144 f = 78
	degree seq :: [ 4^36, 24^6 ]

E13.1307 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 12, 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, (Y1 * Y2)^2, (R * Y1)^2, (R * Y3)^2, (Y3^-1 * Y1^-1)^2, Y1^-1 * Y2^-1 * Y1 * Y2^-1 * Y1^-2, Y2^2 * Y1^-1 * Y2^-4 * Y1^-1, Y2^-1 * Y1 * Y2^-1 * Y1^9, Y1^-1 * Y2^2 * Y1^-1 * Y2^8 ]
Map::
	R = (1, 73, 2, 74, 6, 78, 16, 88, 34, 106, 53, 125, 67, 139, 65, 137, 52, 124, 27, 99, 13, 85, 4, 76)(3, 75, 9, 81, 17, 89, 8, 80, 21, 93, 35, 107, 55, 127, 68, 140, 66, 138, 49, 121, 28, 100, 11, 83)(5, 77, 14, 86, 18, 90, 37, 109, 54, 126, 69, 141, 61, 133, 51, 123, 30, 102, 12, 84, 20, 92, 7, 79)(10, 82, 24, 96, 36, 108, 23, 95, 42, 114, 22, 94, 43, 115, 56, 128, 71, 143, 63, 135, 50, 122, 26, 98)(15, 87, 32, 104, 38, 110, 58, 130, 70, 142, 62, 134, 47, 119, 29, 101, 41, 113, 19, 91, 39, 111, 31, 103)(25, 97, 40, 112, 57, 129, 46, 118, 60, 132, 45, 117, 33, 105, 44, 116, 59, 131, 72, 144, 64, 136, 48, 120)(145, 217, 147, 219, 154, 226, 169, 241, 191, 263, 205, 277, 211, 283, 199, 271, 187, 259, 177, 249, 159, 231, 149, 221)(146, 218, 151, 223, 163, 235, 184, 256, 170, 242, 193, 265, 209, 281, 213, 285, 202, 274, 188, 260, 166, 238, 152, 224)(148, 220, 156, 228, 173, 245, 192, 264, 207, 279, 212, 284, 197, 269, 181, 253, 176, 248, 189, 261, 167, 239, 153, 225)(150, 222, 161, 233, 180, 252, 201, 273, 185, 257, 174, 246, 196, 268, 210, 282, 215, 287, 203, 275, 182, 254, 162, 234)(155, 227, 171, 243, 195, 267, 206, 278, 216, 288, 200, 272, 179, 251, 160, 232, 158, 230, 175, 247, 190, 262, 168, 240)(157, 229, 172, 244, 194, 266, 208, 280, 214, 286, 198, 270, 178, 250, 165, 237, 186, 258, 204, 276, 183, 255, 164, 236)
	L = (1, 147)(2, 151)(3, 154)(4, 156)(5, 145)(6, 161)(7, 163)(8, 146)(9, 148)(10, 169)(11, 171)(12, 173)(13, 172)(14, 175)(15, 149)(16, 158)(17, 180)(18, 150)(19, 184)(20, 157)(21, 186)(22, 152)(23, 153)(24, 155)(25, 191)(26, 193)(27, 195)(28, 194)(29, 192)(30, 196)(31, 190)(32, 189)(33, 159)(34, 165)(35, 160)(36, 201)(37, 176)(38, 162)(39, 164)(40, 170)(41, 174)(42, 204)(43, 177)(44, 166)(45, 167)(46, 168)(47, 205)(48, 207)(49, 209)(50, 208)(51, 206)(52, 210)(53, 181)(54, 178)(55, 187)(56, 179)(57, 185)(58, 188)(59, 182)(60, 183)(61, 211)(62, 216)(63, 212)(64, 214)(65, 213)(66, 215)(67, 199)(68, 197)(69, 202)(70, 198)(71, 203)(72, 200)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 2, 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 E13.1308
Graph:: bipartite
	v = 12 e = 144 f = 108
	degree seq :: [ 24^12 ]

E13.1308 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 12, 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, Y2^2, R^2, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y3^-1 * Y2 * Y3^3 * Y2 * Y3^-2, Y2 * Y3 * Y2 * Y3^-1 * Y2 * Y3^-1 * Y2 * Y3, Y3^12, (Y3^-1 * Y1^-1)^12 ]
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)(147, 219, 151, 223)(148, 220, 153, 225)(149, 221, 155, 227)(150, 222, 157, 229)(152, 224, 161, 233)(154, 226, 165, 237)(156, 228, 169, 241)(158, 230, 173, 245)(159, 231, 167, 239)(160, 232, 171, 243)(162, 234, 170, 242)(163, 235, 168, 240)(164, 236, 172, 244)(166, 238, 174, 246)(175, 247, 185, 257)(176, 248, 184, 256)(177, 249, 183, 255)(178, 250, 186, 258)(179, 251, 191, 263)(180, 252, 189, 261)(181, 253, 188, 260)(182, 254, 194, 266)(187, 259, 197, 269)(190, 262, 200, 272)(192, 264, 198, 270)(193, 265, 204, 276)(195, 267, 201, 273)(196, 268, 207, 279)(199, 271, 209, 281)(202, 274, 212, 284)(203, 275, 208, 280)(205, 277, 210, 282)(206, 278, 211, 283)(213, 285, 216, 288)(214, 286, 215, 287)
	L = (1, 147)(2, 149)(3, 152)(4, 145)(5, 156)(6, 146)(7, 159)(8, 162)(9, 163)(10, 148)(11, 167)(12, 170)(13, 171)(14, 150)(15, 175)(16, 151)(17, 177)(18, 179)(19, 178)(20, 153)(21, 176)(22, 154)(23, 183)(24, 155)(25, 185)(26, 187)(27, 186)(28, 157)(29, 184)(30, 158)(31, 191)(32, 160)(33, 192)(34, 161)(35, 193)(36, 164)(37, 165)(38, 166)(39, 197)(40, 168)(41, 198)(42, 169)(43, 199)(44, 172)(45, 173)(46, 174)(47, 203)(48, 204)(49, 205)(50, 180)(51, 181)(52, 182)(53, 208)(54, 209)(55, 210)(56, 188)(57, 189)(58, 190)(59, 213)(60, 214)(61, 196)(62, 194)(63, 195)(64, 215)(65, 216)(66, 202)(67, 200)(68, 201)(69, 207)(70, 206)(71, 212)(72, 211)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 24, 24 ), ( 24^4 ) }
Outer automorphisms :: reflexible
Dual of E13.1307
Graph:: simple bipartite
	v = 108 e = 144 f = 12
	degree seq :: [ 2^72, 4^36 ]

E13.1309 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 12, 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 * Y2^-1)^2, (R * Y2 * Y3^-1)^2, Y3 * Y1^2 * Y3^-1 * Y1^-2, Y3 * Y1 * Y3 * Y1^-1 * Y3 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1, Y1^12, (Y3^-1 * Y1^-1)^12 ]
Map::
	R = (1, 73, 2, 74, 5, 77, 11, 83, 20, 92, 32, 104, 47, 119, 46, 118, 31, 103, 19, 91, 10, 82, 4, 76)(3, 75, 7, 79, 12, 84, 22, 94, 33, 105, 49, 121, 60, 132, 57, 129, 43, 115, 28, 100, 17, 89, 8, 80)(6, 78, 13, 85, 21, 93, 34, 106, 48, 120, 61, 133, 59, 131, 45, 117, 30, 102, 18, 90, 9, 81, 14, 86)(15, 87, 25, 97, 35, 107, 51, 123, 62, 134, 69, 141, 66, 138, 56, 128, 42, 114, 27, 99, 16, 88, 26, 98)(23, 95, 36, 108, 50, 122, 63, 135, 68, 140, 67, 139, 58, 130, 44, 116, 29, 101, 38, 110, 24, 96, 37, 109)(39, 111, 52, 124, 64, 136, 70, 142, 72, 144, 71, 143, 65, 137, 55, 127, 41, 113, 54, 126, 40, 112, 53, 125)(145, 217)(146, 218)(147, 219)(148, 220)(149, 221)(150, 222)(151, 223)(152, 224)(153, 225)(154, 226)(155, 227)(156, 228)(157, 229)(158, 230)(159, 231)(160, 232)(161, 233)(162, 234)(163, 235)(164, 236)(165, 237)(166, 238)(167, 239)(168, 240)(169, 241)(170, 242)(171, 243)(172, 244)(173, 245)(174, 246)(175, 247)(176, 248)(177, 249)(178, 250)(179, 251)(180, 252)(181, 253)(182, 254)(183, 255)(184, 256)(185, 257)(186, 258)(187, 259)(188, 260)(189, 261)(190, 262)(191, 263)(192, 264)(193, 265)(194, 266)(195, 267)(196, 268)(197, 269)(198, 270)(199, 271)(200, 272)(201, 273)(202, 274)(203, 275)(204, 276)(205, 277)(206, 278)(207, 279)(208, 280)(209, 281)(210, 282)(211, 283)(212, 284)(213, 285)(214, 286)(215, 287)(216, 288)
	L = (1, 147)(2, 150)(3, 145)(4, 153)(5, 156)(6, 146)(7, 159)(8, 160)(9, 148)(10, 161)(11, 165)(12, 149)(13, 167)(14, 168)(15, 151)(16, 152)(17, 154)(18, 173)(19, 174)(20, 177)(21, 155)(22, 179)(23, 157)(24, 158)(25, 183)(26, 184)(27, 185)(28, 186)(29, 162)(30, 163)(31, 187)(32, 192)(33, 164)(34, 194)(35, 166)(36, 196)(37, 197)(38, 198)(39, 169)(40, 170)(41, 171)(42, 172)(43, 175)(44, 199)(45, 202)(46, 203)(47, 204)(48, 176)(49, 206)(50, 178)(51, 208)(52, 180)(53, 181)(54, 182)(55, 188)(56, 209)(57, 210)(58, 189)(59, 190)(60, 191)(61, 212)(62, 193)(63, 214)(64, 195)(65, 200)(66, 201)(67, 215)(68, 205)(69, 216)(70, 207)(71, 211)(72, 213)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 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 E13.1305
Graph:: simple bipartite
	v = 78 e = 144 f = 42
	degree seq :: [ 2^72, 24^6 ]

E13.1310 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 12, 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 * Y2^-1)^2, (R * Y2 * Y3^-1)^2, Y3^2 * Y1 * Y3^-2 * Y1^-1, Y3 * Y1^-1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3 * Y1^-1, Y1^-1 * Y3^-1 * Y1 * Y3 * Y1 * Y3 * Y1^-1 * Y3^-1, Y3 * Y1^3 * Y3^-1 * Y1^-3, Y1^12, 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 ]
Map::
	R = (1, 73, 2, 74, 5, 77, 11, 83, 23, 95, 39, 111, 53, 125, 52, 124, 38, 110, 22, 94, 10, 82, 4, 76)(3, 75, 7, 79, 15, 87, 24, 96, 41, 113, 56, 128, 64, 136, 61, 133, 49, 121, 35, 107, 18, 90, 8, 80)(6, 78, 13, 85, 27, 99, 40, 112, 55, 127, 66, 138, 63, 135, 51, 123, 37, 109, 21, 93, 30, 102, 14, 86)(9, 81, 19, 91, 26, 98, 12, 84, 25, 97, 42, 114, 54, 126, 65, 137, 62, 134, 50, 122, 36, 108, 20, 92)(16, 88, 28, 100, 43, 115, 57, 129, 67, 139, 71, 143, 70, 142, 60, 132, 48, 120, 34, 106, 46, 118, 32, 104)(17, 89, 29, 101, 44, 116, 31, 103, 45, 117, 58, 130, 68, 140, 72, 144, 69, 141, 59, 131, 47, 119, 33, 105)(145, 217)(146, 218)(147, 219)(148, 220)(149, 221)(150, 222)(151, 223)(152, 224)(153, 225)(154, 226)(155, 227)(156, 228)(157, 229)(158, 230)(159, 231)(160, 232)(161, 233)(162, 234)(163, 235)(164, 236)(165, 237)(166, 238)(167, 239)(168, 240)(169, 241)(170, 242)(171, 243)(172, 244)(173, 245)(174, 246)(175, 247)(176, 248)(177, 249)(178, 250)(179, 251)(180, 252)(181, 253)(182, 254)(183, 255)(184, 256)(185, 257)(186, 258)(187, 259)(188, 260)(189, 261)(190, 262)(191, 263)(192, 264)(193, 265)(194, 266)(195, 267)(196, 268)(197, 269)(198, 270)(199, 271)(200, 272)(201, 273)(202, 274)(203, 275)(204, 276)(205, 277)(206, 278)(207, 279)(208, 280)(209, 281)(210, 282)(211, 283)(212, 284)(213, 285)(214, 286)(215, 287)(216, 288)
	L = (1, 147)(2, 150)(3, 145)(4, 153)(5, 156)(6, 146)(7, 160)(8, 161)(9, 148)(10, 165)(11, 168)(12, 149)(13, 172)(14, 173)(15, 175)(16, 151)(17, 152)(18, 178)(19, 176)(20, 177)(21, 154)(22, 179)(23, 184)(24, 155)(25, 187)(26, 188)(27, 189)(28, 157)(29, 158)(30, 190)(31, 159)(32, 163)(33, 164)(34, 162)(35, 166)(36, 192)(37, 191)(38, 194)(39, 198)(40, 167)(41, 201)(42, 202)(43, 169)(44, 170)(45, 171)(46, 174)(47, 181)(48, 180)(49, 203)(50, 182)(51, 204)(52, 207)(53, 208)(54, 183)(55, 211)(56, 212)(57, 185)(58, 186)(59, 193)(60, 195)(61, 214)(62, 213)(63, 196)(64, 197)(65, 215)(66, 216)(67, 199)(68, 200)(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) :: { ( 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 E13.1306
Graph:: simple bipartite
	v = 78 e = 144 f = 42
	degree seq :: [ 2^72, 24^6 ]

E13.1311 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 9, 18})
Quotient :: regular
Aut^+ = C2 x ((C2 x C2) : C9) (small group id <72, 16>)
Aut   = C2 x (((C2 x C2) : C9) : C2) (small group id <144, 109>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T2 * T1^3 * T2 * T1^-3, (T2 * T1 * T2 * T1^-1)^2, T1^-3 * T2 * T1^-1 * T2 * T1^-4 * T2 * T1^-1, T1^18, (T1^-1 * T2)^9 ]
Map:: non-degenerate
	R = (1, 2, 5, 11, 23, 41, 61, 53, 70, 72, 71, 52, 69, 60, 40, 22, 10, 4)(3, 7, 15, 24, 43, 64, 57, 37, 50, 68, 46, 28, 48, 66, 56, 36, 18, 8)(6, 13, 27, 42, 63, 54, 34, 17, 33, 51, 31, 45, 67, 59, 39, 21, 30, 14)(9, 19, 26, 12, 25, 44, 62, 55, 35, 49, 29, 16, 32, 47, 65, 58, 38, 20)
	L = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 17)(10, 21)(11, 24)(13, 28)(14, 29)(15, 31)(18, 35)(19, 33)(20, 37)(22, 36)(23, 42)(25, 45)(26, 46)(27, 47)(30, 50)(32, 52)(34, 53)(38, 54)(39, 55)(40, 58)(41, 62)(43, 65)(44, 66)(48, 69)(49, 70)(51, 71)(56, 63)(57, 61)(59, 64)(60, 67)(68, 72)
	local type(s) :: { ( 9^18 ) }
Outer automorphisms :: reflexible
Dual of E13.1312
Transitivity :: ET+ VT+ AT+ REG+
Graph::
	v = 4 e = 36 f = 8
	degree seq :: [ 18^4 ]

E13.1312 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 9, 18})
Quotient :: regular
Aut^+ = C2 x ((C2 x C2) : C9) (small group id <72, 16>)
Aut   = C2 x (((C2 x C2) : C9) : C2) (small group id <144, 109>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, (T2 * T1 * T2 * T1^-1)^2, T1^-1 * T2 * T1^3 * T2 * T1^-2, T1^9, (T1^-1 * T2)^18 ]
Map:: non-degenerate
	R = (1, 2, 5, 11, 23, 40, 22, 10, 4)(3, 7, 15, 24, 42, 55, 36, 18, 8)(6, 13, 27, 41, 58, 39, 21, 30, 14)(9, 19, 26, 12, 25, 43, 57, 38, 20)(16, 32, 46, 59, 68, 54, 35, 48, 29)(17, 33, 50, 31, 44, 61, 67, 53, 34)(28, 47, 60, 69, 56, 37, 49, 62, 45)(51, 63, 70, 72, 66, 52, 64, 71, 65)
	L = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 17)(10, 21)(11, 24)(13, 28)(14, 29)(15, 31)(18, 35)(19, 33)(20, 37)(22, 36)(23, 41)(25, 44)(26, 45)(27, 46)(30, 49)(32, 51)(34, 52)(38, 53)(39, 54)(40, 57)(42, 59)(43, 60)(47, 63)(48, 64)(50, 65)(55, 67)(56, 66)(58, 69)(61, 70)(62, 71)(68, 72)
	local type(s) :: { ( 18^9 ) }
Outer automorphisms :: reflexible
Dual of E13.1311
Transitivity :: ET+ VT+ AT+ REG+
Graph:: bipartite
	v = 8 e = 36 f = 4
	degree seq :: [ 9^8 ]

E13.1313 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 9, 18})
Quotient :: edge
Aut^+ = C2 x ((C2 x C2) : C9) (small group id <72, 16>)
Aut   = C2 x (((C2 x C2) : C9) : C2) (small group id <144, 109>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, T2^-2 * T1 * T2^3 * T1 * T2^-1, (T2 * T1 * T2^-1 * T1)^2, T2^9, (T2^-1 * T1)^18 ]
Map::
	R = (1, 3, 8, 18, 36, 40, 22, 10, 4)(2, 5, 12, 26, 46, 50, 30, 14, 6)(7, 15, 32, 53, 58, 39, 21, 33, 16)(9, 19, 35, 17, 34, 55, 57, 38, 20)(11, 23, 42, 61, 66, 49, 29, 43, 24)(13, 27, 45, 25, 44, 63, 65, 48, 28)(31, 51, 67, 69, 56, 37, 54, 68, 52)(41, 59, 70, 72, 64, 47, 62, 71, 60)(73, 74)(75, 79)(76, 81)(77, 83)(78, 85)(80, 89)(82, 93)(84, 97)(86, 101)(87, 103)(88, 96)(90, 98)(91, 99)(92, 109)(94, 102)(95, 113)(100, 119)(104, 114)(105, 126)(106, 116)(107, 124)(108, 125)(110, 120)(111, 121)(112, 129)(115, 134)(117, 132)(118, 133)(122, 137)(123, 131)(127, 139)(128, 136)(130, 141)(135, 142)(138, 144)(140, 143)
	L = (1, 73)(2, 74)(3, 75)(4, 76)(5, 77)(6, 78)(7, 79)(8, 80)(9, 81)(10, 82)(11, 83)(12, 84)(13, 85)(14, 86)(15, 87)(16, 88)(17, 89)(18, 90)(19, 91)(20, 92)(21, 93)(22, 94)(23, 95)(24, 96)(25, 97)(26, 98)(27, 99)(28, 100)(29, 101)(30, 102)(31, 103)(32, 104)(33, 105)(34, 106)(35, 107)(36, 108)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 36, 36 ), ( 36^9 ) }
Outer automorphisms :: reflexible
Dual of E13.1317
Transitivity :: ET+
Graph:: simple bipartite
	v = 44 e = 72 f = 4
	degree seq :: [ 2^36, 9^8 ]

E13.1314 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 9, 18})
Quotient :: edge
Aut^+ = C2 x ((C2 x C2) : C9) (small group id <72, 16>)
Aut   = C2 x (((C2 x C2) : C9) : C2) (small group id <144, 109>)
|r| :: 2
Presentation :: [ F^2, (T2 * T1)^2, (F * T2)^2, (F * T1)^2, T2 * T1^-1 * T2^-2 * T1 * T2^-1 * T1^-2, T1^2 * T2^-2 * T1^-1 * T2 * T1^-1 * T2, T1^-1 * T2^-1 * T1^3 * T2 * T1^-2, T2^-1 * T1^-1 * T2 * T1^2 * T2 * T1^-1 * T2^-1, T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-3, T1^9, T2^18 ]
Map:: polytopal non-degenerate
	R = (1, 3, 10, 26, 60, 42, 16, 41, 68, 72, 70, 51, 34, 67, 55, 39, 15, 5)(2, 7, 19, 48, 27, 62, 40, 35, 57, 71, 59, 30, 13, 33, 65, 56, 22, 8)(4, 12, 31, 61, 46, 18, 6, 17, 43, 69, 49, 29, 66, 52, 38, 58, 24, 9)(11, 28, 64, 54, 21, 53, 23, 47, 20, 50, 32, 63, 45, 37, 14, 36, 44, 25)(73, 74, 78, 88, 112, 138, 106, 85, 76)(75, 81, 95, 113, 90, 117, 139, 101, 83)(77, 86, 107, 114, 136, 105, 123, 92, 79)(80, 93, 124, 134, 104, 84, 102, 116, 89)(82, 97, 131, 140, 125, 94, 127, 135, 99)(87, 110, 126, 132, 103, 122, 142, 115, 108)(91, 119, 96, 129, 109, 118, 137, 100, 121)(98, 120, 141, 144, 143, 130, 111, 128, 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) :: { ( 4^9 ), ( 4^18 ) }
Outer automorphisms :: reflexible
Dual of E13.1318
Transitivity :: ET+
Graph:: bipartite
	v = 12 e = 72 f = 36
	degree seq :: [ 9^8, 18^4 ]

E13.1315 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 9, 18})
Quotient :: edge
Aut^+ = C2 x ((C2 x C2) : C9) (small group id <72, 16>)
Aut   = C2 x (((C2 x C2) : C9) : C2) (small group id <144, 109>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T2 * T1^3 * T2 * T1^-3, (T2 * T1 * T2 * T1^-1)^2, T1^-3 * T2 * T1^-1 * T2 * T1^-4 * T2 * T1^-1, (T2 * T1^-1)^9, T1^18 ]
Map::
	R = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 17)(10, 21)(11, 24)(13, 28)(14, 29)(15, 31)(18, 35)(19, 33)(20, 37)(22, 36)(23, 42)(25, 45)(26, 46)(27, 47)(30, 50)(32, 52)(34, 53)(38, 54)(39, 55)(40, 58)(41, 62)(43, 65)(44, 66)(48, 69)(49, 70)(51, 71)(56, 63)(57, 61)(59, 64)(60, 67)(68, 72)(73, 74, 77, 83, 95, 113, 133, 125, 142, 144, 143, 124, 141, 132, 112, 94, 82, 76)(75, 79, 87, 96, 115, 136, 129, 109, 122, 140, 118, 100, 120, 138, 128, 108, 90, 80)(78, 85, 99, 114, 135, 126, 106, 89, 105, 123, 103, 117, 139, 131, 111, 93, 102, 86)(81, 91, 98, 84, 97, 116, 134, 127, 107, 121, 101, 88, 104, 119, 137, 130, 110, 92)
	L = (1, 73)(2, 74)(3, 75)(4, 76)(5, 77)(6, 78)(7, 79)(8, 80)(9, 81)(10, 82)(11, 83)(12, 84)(13, 85)(14, 86)(15, 87)(16, 88)(17, 89)(18, 90)(19, 91)(20, 92)(21, 93)(22, 94)(23, 95)(24, 96)(25, 97)(26, 98)(27, 99)(28, 100)(29, 101)(30, 102)(31, 103)(32, 104)(33, 105)(34, 106)(35, 107)(36, 108)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 18, 18 ), ( 18^18 ) }
Outer automorphisms :: reflexible
Dual of E13.1316
Transitivity :: ET+
Graph:: simple bipartite
	v = 40 e = 72 f = 8
	degree seq :: [ 2^36, 18^4 ]

E13.1316 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 9, 18})
Quotient :: loop
Aut^+ = C2 x ((C2 x C2) : C9) (small group id <72, 16>)
Aut   = C2 x (((C2 x C2) : C9) : C2) (small group id <144, 109>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, T2^-2 * T1 * T2^3 * T1 * T2^-1, (T2 * T1 * T2^-1 * T1)^2, T2^9, (T2^-1 * T1)^18 ]
Map::
	R = (1, 73, 3, 75, 8, 80, 18, 90, 36, 108, 40, 112, 22, 94, 10, 82, 4, 76)(2, 74, 5, 77, 12, 84, 26, 98, 46, 118, 50, 122, 30, 102, 14, 86, 6, 78)(7, 79, 15, 87, 32, 104, 53, 125, 58, 130, 39, 111, 21, 93, 33, 105, 16, 88)(9, 81, 19, 91, 35, 107, 17, 89, 34, 106, 55, 127, 57, 129, 38, 110, 20, 92)(11, 83, 23, 95, 42, 114, 61, 133, 66, 138, 49, 121, 29, 101, 43, 115, 24, 96)(13, 85, 27, 99, 45, 117, 25, 97, 44, 116, 63, 135, 65, 137, 48, 120, 28, 100)(31, 103, 51, 123, 67, 139, 69, 141, 56, 128, 37, 109, 54, 126, 68, 140, 52, 124)(41, 113, 59, 131, 70, 142, 72, 144, 64, 136, 47, 119, 62, 134, 71, 143, 60, 132)
	L = (1, 74)(2, 73)(3, 79)(4, 81)(5, 83)(6, 85)(7, 75)(8, 89)(9, 76)(10, 93)(11, 77)(12, 97)(13, 78)(14, 101)(15, 103)(16, 96)(17, 80)(18, 98)(19, 99)(20, 109)(21, 82)(22, 102)(23, 113)(24, 88)(25, 84)(26, 90)(27, 91)(28, 119)(29, 86)(30, 94)(31, 87)(32, 114)(33, 126)(34, 116)(35, 124)(36, 125)(37, 92)(38, 120)(39, 121)(40, 129)(41, 95)(42, 104)(43, 134)(44, 106)(45, 132)(46, 133)(47, 100)(48, 110)(49, 111)(50, 137)(51, 131)(52, 107)(53, 108)(54, 105)(55, 139)(56, 136)(57, 112)(58, 141)(59, 123)(60, 117)(61, 118)(62, 115)(63, 142)(64, 128)(65, 122)(66, 144)(67, 127)(68, 143)(69, 130)(70, 135)(71, 140)(72, 138)
	local type(s) :: { ( 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18 ) }
Outer automorphisms :: reflexible
Dual of E13.1315
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 8 e = 72 f = 40
	degree seq :: [ 18^8 ]

E13.1317 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 9, 18})
Quotient :: loop
Aut^+ = C2 x ((C2 x C2) : C9) (small group id <72, 16>)
Aut   = C2 x (((C2 x C2) : C9) : C2) (small group id <144, 109>)
|r| :: 2
Presentation :: [ F^2, (T2 * T1)^2, (F * T2)^2, (F * T1)^2, T2 * T1^-1 * T2^-2 * T1 * T2^-1 * T1^-2, T1^2 * T2^-2 * T1^-1 * T2 * T1^-1 * T2, T1^-1 * T2^-1 * T1^3 * T2 * T1^-2, T2^-1 * T1^-1 * T2 * T1^2 * T2 * T1^-1 * T2^-1, T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-3, T1^9, T2^18 ]
Map::
	R = (1, 73, 3, 75, 10, 82, 26, 98, 60, 132, 42, 114, 16, 88, 41, 113, 68, 140, 72, 144, 70, 142, 51, 123, 34, 106, 67, 139, 55, 127, 39, 111, 15, 87, 5, 77)(2, 74, 7, 79, 19, 91, 48, 120, 27, 99, 62, 134, 40, 112, 35, 107, 57, 129, 71, 143, 59, 131, 30, 102, 13, 85, 33, 105, 65, 137, 56, 128, 22, 94, 8, 80)(4, 76, 12, 84, 31, 103, 61, 133, 46, 118, 18, 90, 6, 78, 17, 89, 43, 115, 69, 141, 49, 121, 29, 101, 66, 138, 52, 124, 38, 110, 58, 130, 24, 96, 9, 81)(11, 83, 28, 100, 64, 136, 54, 126, 21, 93, 53, 125, 23, 95, 47, 119, 20, 92, 50, 122, 32, 104, 63, 135, 45, 117, 37, 109, 14, 86, 36, 108, 44, 116, 25, 97)
	L = (1, 74)(2, 78)(3, 81)(4, 73)(5, 86)(6, 88)(7, 77)(8, 93)(9, 95)(10, 97)(11, 75)(12, 102)(13, 76)(14, 107)(15, 110)(16, 112)(17, 80)(18, 117)(19, 119)(20, 79)(21, 124)(22, 127)(23, 113)(24, 129)(25, 131)(26, 120)(27, 82)(28, 121)(29, 83)(30, 116)(31, 122)(32, 84)(33, 123)(34, 85)(35, 114)(36, 87)(37, 118)(38, 126)(39, 128)(40, 138)(41, 90)(42, 136)(43, 108)(44, 89)(45, 139)(46, 137)(47, 96)(48, 141)(49, 91)(50, 142)(51, 92)(52, 134)(53, 94)(54, 132)(55, 135)(56, 133)(57, 109)(58, 111)(59, 140)(60, 103)(61, 98)(62, 104)(63, 99)(64, 105)(65, 100)(66, 106)(67, 101)(68, 125)(69, 144)(70, 115)(71, 130)(72, 143)
	local type(s) :: { ( 2, 9, 2, 9, 2, 9, 2, 9, 2, 9, 2, 9, 2, 9, 2, 9, 2, 9, 2, 9, 2, 9, 2, 9, 2, 9, 2, 9, 2, 9, 2, 9, 2, 9, 2, 9 ) }
Outer automorphisms :: reflexible
Dual of E13.1313
Transitivity :: ET+ VT+ AT
Graph::
	v = 4 e = 72 f = 44
	degree seq :: [ 36^4 ]

E13.1318 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 9, 18})
Quotient :: loop
Aut^+ = C2 x ((C2 x C2) : C9) (small group id <72, 16>)
Aut   = C2 x (((C2 x C2) : C9) : C2) (small group id <144, 109>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T2 * T1^3 * T2 * T1^-3, (T2 * T1 * T2 * T1^-1)^2, T1^-3 * T2 * T1^-1 * T2 * T1^-4 * T2 * T1^-1, (T2 * T1^-1)^9, T1^18 ]
Map:: polytopal non-degenerate
	R = (1, 73, 3, 75)(2, 74, 6, 78)(4, 76, 9, 81)(5, 77, 12, 84)(7, 79, 16, 88)(8, 80, 17, 89)(10, 82, 21, 93)(11, 83, 24, 96)(13, 85, 28, 100)(14, 86, 29, 101)(15, 87, 31, 103)(18, 90, 35, 107)(19, 91, 33, 105)(20, 92, 37, 109)(22, 94, 36, 108)(23, 95, 42, 114)(25, 97, 45, 117)(26, 98, 46, 118)(27, 99, 47, 119)(30, 102, 50, 122)(32, 104, 52, 124)(34, 106, 53, 125)(38, 110, 54, 126)(39, 111, 55, 127)(40, 112, 58, 130)(41, 113, 62, 134)(43, 115, 65, 137)(44, 116, 66, 138)(48, 120, 69, 141)(49, 121, 70, 142)(51, 123, 71, 143)(56, 128, 63, 135)(57, 129, 61, 133)(59, 131, 64, 136)(60, 132, 67, 139)(68, 140, 72, 144)
	L = (1, 74)(2, 77)(3, 79)(4, 73)(5, 83)(6, 85)(7, 87)(8, 75)(9, 91)(10, 76)(11, 95)(12, 97)(13, 99)(14, 78)(15, 96)(16, 104)(17, 105)(18, 80)(19, 98)(20, 81)(21, 102)(22, 82)(23, 113)(24, 115)(25, 116)(26, 84)(27, 114)(28, 120)(29, 88)(30, 86)(31, 117)(32, 119)(33, 123)(34, 89)(35, 121)(36, 90)(37, 122)(38, 92)(39, 93)(40, 94)(41, 133)(42, 135)(43, 136)(44, 134)(45, 139)(46, 100)(47, 137)(48, 138)(49, 101)(50, 140)(51, 103)(52, 141)(53, 142)(54, 106)(55, 107)(56, 108)(57, 109)(58, 110)(59, 111)(60, 112)(61, 125)(62, 127)(63, 126)(64, 129)(65, 130)(66, 128)(67, 131)(68, 118)(69, 132)(70, 144)(71, 124)(72, 143)
	local type(s) :: { ( 9, 18, 9, 18 ) }
Outer automorphisms :: reflexible
Dual of E13.1314
Transitivity :: ET+ VT+ AT
Graph:: simple
	v = 36 e = 72 f = 12
	degree seq :: [ 4^36 ]

E13.1319 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 9, 18})
Quotient :: dipole
Aut^+ = C2 x ((C2 x C2) : C9) (small group id <72, 16>)
Aut   = C2 x (((C2 x C2) : C9) : C2) (small group id <144, 109>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y2^-1 * Y1 * Y2^3 * Y1 * Y2^-2, (Y2 * Y1 * Y2^-1 * Y1)^2, (Y2^-1 * R * Y2^-2)^2, Y2^9, (Y3 * Y2^-1)^18 ]
Map::
	R = (1, 73, 2, 74)(3, 75, 7, 79)(4, 76, 9, 81)(5, 77, 11, 83)(6, 78, 13, 85)(8, 80, 17, 89)(10, 82, 21, 93)(12, 84, 25, 97)(14, 86, 29, 101)(15, 87, 31, 103)(16, 88, 24, 96)(18, 90, 26, 98)(19, 91, 27, 99)(20, 92, 37, 109)(22, 94, 30, 102)(23, 95, 41, 113)(28, 100, 47, 119)(32, 104, 42, 114)(33, 105, 54, 126)(34, 106, 44, 116)(35, 107, 52, 124)(36, 108, 53, 125)(38, 110, 48, 120)(39, 111, 49, 121)(40, 112, 57, 129)(43, 115, 62, 134)(45, 117, 60, 132)(46, 118, 61, 133)(50, 122, 65, 137)(51, 123, 59, 131)(55, 127, 67, 139)(56, 128, 64, 136)(58, 130, 69, 141)(63, 135, 70, 142)(66, 138, 72, 144)(68, 140, 71, 143)(145, 217, 147, 219, 152, 224, 162, 234, 180, 252, 184, 256, 166, 238, 154, 226, 148, 220)(146, 218, 149, 221, 156, 228, 170, 242, 190, 262, 194, 266, 174, 246, 158, 230, 150, 222)(151, 223, 159, 231, 176, 248, 197, 269, 202, 274, 183, 255, 165, 237, 177, 249, 160, 232)(153, 225, 163, 235, 179, 251, 161, 233, 178, 250, 199, 271, 201, 273, 182, 254, 164, 236)(155, 227, 167, 239, 186, 258, 205, 277, 210, 282, 193, 265, 173, 245, 187, 259, 168, 240)(157, 229, 171, 243, 189, 261, 169, 241, 188, 260, 207, 279, 209, 281, 192, 264, 172, 244)(175, 247, 195, 267, 211, 283, 213, 285, 200, 272, 181, 253, 198, 270, 212, 284, 196, 268)(185, 257, 203, 275, 214, 286, 216, 288, 208, 280, 191, 263, 206, 278, 215, 287, 204, 276)
	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, 168)(17, 152)(18, 170)(19, 171)(20, 181)(21, 154)(22, 174)(23, 185)(24, 160)(25, 156)(26, 162)(27, 163)(28, 191)(29, 158)(30, 166)(31, 159)(32, 186)(33, 198)(34, 188)(35, 196)(36, 197)(37, 164)(38, 192)(39, 193)(40, 201)(41, 167)(42, 176)(43, 206)(44, 178)(45, 204)(46, 205)(47, 172)(48, 182)(49, 183)(50, 209)(51, 203)(52, 179)(53, 180)(54, 177)(55, 211)(56, 208)(57, 184)(58, 213)(59, 195)(60, 189)(61, 190)(62, 187)(63, 214)(64, 200)(65, 194)(66, 216)(67, 199)(68, 215)(69, 202)(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) :: { ( 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 E13.1322
Graph:: bipartite
	v = 44 e = 144 f = 76
	degree seq :: [ 4^36, 18^8 ]

E13.1320 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 9, 18})
Quotient :: dipole
Aut^+ = C2 x ((C2 x C2) : C9) (small group id <72, 16>)
Aut   = C2 x (((C2 x C2) : C9) : C2) (small group id <144, 109>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, (Y1 * Y2)^2, (R * Y3)^2, (Y3^-1 * Y1^-1)^2, (R * Y1)^2, Y1 * Y2^4 * Y1 * Y2^-2, Y1^-1 * Y2^-1 * Y1 * Y2 * Y1^-1 * Y2^-2 * Y1^-1, Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^2 * Y1^-2, Y2 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1^-2 * Y2, Y1^-1 * Y2 * Y1^3 * Y2^-1 * Y1^-2, Y2^-6 * Y1^3, Y1^9 ]
Map::
	R = (1, 73, 2, 74, 6, 78, 16, 88, 40, 112, 66, 138, 34, 106, 13, 85, 4, 76)(3, 75, 9, 81, 23, 95, 41, 113, 18, 90, 45, 117, 67, 139, 29, 101, 11, 83)(5, 77, 14, 86, 35, 107, 42, 114, 64, 136, 33, 105, 51, 123, 20, 92, 7, 79)(8, 80, 21, 93, 52, 124, 62, 134, 32, 104, 12, 84, 30, 102, 44, 116, 17, 89)(10, 82, 25, 97, 59, 131, 68, 140, 53, 125, 22, 94, 55, 127, 63, 135, 27, 99)(15, 87, 38, 110, 54, 126, 60, 132, 31, 103, 50, 122, 70, 142, 43, 115, 36, 108)(19, 91, 47, 119, 24, 96, 57, 129, 37, 109, 46, 118, 65, 137, 28, 100, 49, 121)(26, 98, 48, 120, 69, 141, 72, 144, 71, 143, 58, 130, 39, 111, 56, 128, 61, 133)(145, 217, 147, 219, 154, 226, 170, 242, 204, 276, 186, 258, 160, 232, 185, 257, 212, 284, 216, 288, 214, 286, 195, 267, 178, 250, 211, 283, 199, 271, 183, 255, 159, 231, 149, 221)(146, 218, 151, 223, 163, 235, 192, 264, 171, 243, 206, 278, 184, 256, 179, 251, 201, 273, 215, 287, 203, 275, 174, 246, 157, 229, 177, 249, 209, 281, 200, 272, 166, 238, 152, 224)(148, 220, 156, 228, 175, 247, 205, 277, 190, 262, 162, 234, 150, 222, 161, 233, 187, 259, 213, 285, 193, 265, 173, 245, 210, 282, 196, 268, 182, 254, 202, 274, 168, 240, 153, 225)(155, 227, 172, 244, 208, 280, 198, 270, 165, 237, 197, 269, 167, 239, 191, 263, 164, 236, 194, 266, 176, 248, 207, 279, 189, 261, 181, 253, 158, 230, 180, 252, 188, 260, 169, 241)
	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, 191)(24, 153)(25, 155)(26, 204)(27, 206)(28, 208)(29, 210)(30, 157)(31, 205)(32, 207)(33, 209)(34, 211)(35, 201)(36, 188)(37, 158)(38, 202)(39, 159)(40, 179)(41, 212)(42, 160)(43, 213)(44, 169)(45, 181)(46, 162)(47, 164)(48, 171)(49, 173)(50, 176)(51, 178)(52, 182)(53, 167)(54, 165)(55, 183)(56, 166)(57, 215)(58, 168)(59, 174)(60, 186)(61, 190)(62, 184)(63, 189)(64, 198)(65, 200)(66, 196)(67, 199)(68, 216)(69, 193)(70, 195)(71, 203)(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, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4 ), ( 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 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 E13.1321
Graph:: bipartite
	v = 12 e = 144 f = 108
	degree seq :: [ 18^8, 36^4 ]

E13.1321 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 9, 18})
Quotient :: dipole
Aut^+ = C2 x ((C2 x C2) : C9) (small group id <72, 16>)
Aut   = C2 x (((C2 x C2) : C9) : C2) (small group id <144, 109>)
|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 * Y2 * Y3^-1 * Y2)^2, Y3^7 * Y2 * Y3 * Y2 * Y3 * Y2, (Y3^-1 * Y1^-1)^18 ]
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)(147, 219, 151, 223)(148, 220, 153, 225)(149, 221, 155, 227)(150, 222, 157, 229)(152, 224, 161, 233)(154, 226, 165, 237)(156, 228, 169, 241)(158, 230, 173, 245)(159, 231, 175, 247)(160, 232, 168, 240)(162, 234, 170, 242)(163, 235, 171, 243)(164, 236, 181, 253)(166, 238, 174, 246)(167, 239, 185, 257)(172, 244, 191, 263)(176, 248, 186, 258)(177, 249, 198, 270)(178, 250, 188, 260)(179, 251, 196, 268)(180, 252, 197, 269)(182, 254, 192, 264)(183, 255, 193, 265)(184, 256, 202, 274)(187, 259, 208, 280)(189, 261, 206, 278)(190, 262, 207, 279)(194, 266, 212, 284)(195, 267, 205, 277)(199, 271, 214, 286)(200, 272, 213, 285)(201, 273, 211, 283)(203, 275, 210, 282)(204, 276, 209, 281)(215, 287, 216, 288)
	L = (1, 147)(2, 149)(3, 152)(4, 145)(5, 156)(6, 146)(7, 159)(8, 162)(9, 163)(10, 148)(11, 167)(12, 170)(13, 171)(14, 150)(15, 176)(16, 151)(17, 178)(18, 180)(19, 179)(20, 153)(21, 177)(22, 154)(23, 186)(24, 155)(25, 188)(26, 190)(27, 189)(28, 157)(29, 187)(30, 158)(31, 195)(32, 197)(33, 160)(34, 199)(35, 161)(36, 200)(37, 198)(38, 164)(39, 165)(40, 166)(41, 205)(42, 207)(43, 168)(44, 209)(45, 169)(46, 210)(47, 208)(48, 172)(49, 173)(50, 174)(51, 214)(52, 175)(53, 212)(54, 215)(55, 213)(56, 211)(57, 181)(58, 182)(59, 183)(60, 184)(61, 204)(62, 185)(63, 202)(64, 216)(65, 203)(66, 201)(67, 191)(68, 192)(69, 193)(70, 194)(71, 196)(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) :: { ( 18, 36 ), ( 18, 36, 18, 36 ) }
Outer automorphisms :: reflexible
Dual of E13.1320
Graph:: simple bipartite
	v = 108 e = 144 f = 12
	degree seq :: [ 2^72, 4^36 ]

E13.1322 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 9, 18})
Quotient :: dipole
Aut^+ = C2 x ((C2 x C2) : C9) (small group id <72, 16>)
Aut   = C2 x (((C2 x C2) : C9) : C2) (small group id <144, 109>)
|r| :: 2
Presentation :: [ Y2, R^2, Y3^2, R * Y2 * R * Y2^-1, (R * Y1)^2, (R * Y3)^2, (Y3 * Y2^-1)^2, Y3 * Y1^3 * Y3 * Y1^-3, (Y1^-1 * Y3 * Y1 * Y3)^2, Y1^-3 * Y3 * Y1^-1 * Y3 * Y1^-4 * Y3 * Y1^-1, (Y3 * Y1^-1)^9 ]
Map::
	R = (1, 73, 2, 74, 5, 77, 11, 83, 23, 95, 41, 113, 61, 133, 53, 125, 70, 142, 72, 144, 71, 143, 52, 124, 69, 141, 60, 132, 40, 112, 22, 94, 10, 82, 4, 76)(3, 75, 7, 79, 15, 87, 24, 96, 43, 115, 64, 136, 57, 129, 37, 109, 50, 122, 68, 140, 46, 118, 28, 100, 48, 120, 66, 138, 56, 128, 36, 108, 18, 90, 8, 80)(6, 78, 13, 85, 27, 99, 42, 114, 63, 135, 54, 126, 34, 106, 17, 89, 33, 105, 51, 123, 31, 103, 45, 117, 67, 139, 59, 131, 39, 111, 21, 93, 30, 102, 14, 86)(9, 81, 19, 91, 26, 98, 12, 84, 25, 97, 44, 116, 62, 134, 55, 127, 35, 107, 49, 121, 29, 101, 16, 88, 32, 104, 47, 119, 65, 137, 58, 130, 38, 110, 20, 92)(145, 217)(146, 218)(147, 219)(148, 220)(149, 221)(150, 222)(151, 223)(152, 224)(153, 225)(154, 226)(155, 227)(156, 228)(157, 229)(158, 230)(159, 231)(160, 232)(161, 233)(162, 234)(163, 235)(164, 236)(165, 237)(166, 238)(167, 239)(168, 240)(169, 241)(170, 242)(171, 243)(172, 244)(173, 245)(174, 246)(175, 247)(176, 248)(177, 249)(178, 250)(179, 251)(180, 252)(181, 253)(182, 254)(183, 255)(184, 256)(185, 257)(186, 258)(187, 259)(188, 260)(189, 261)(190, 262)(191, 263)(192, 264)(193, 265)(194, 266)(195, 267)(196, 268)(197, 269)(198, 270)(199, 271)(200, 272)(201, 273)(202, 274)(203, 275)(204, 276)(205, 277)(206, 278)(207, 279)(208, 280)(209, 281)(210, 282)(211, 283)(212, 284)(213, 285)(214, 286)(215, 287)(216, 288)
	L = (1, 147)(2, 150)(3, 145)(4, 153)(5, 156)(6, 146)(7, 160)(8, 161)(9, 148)(10, 165)(11, 168)(12, 149)(13, 172)(14, 173)(15, 175)(16, 151)(17, 152)(18, 179)(19, 177)(20, 181)(21, 154)(22, 180)(23, 186)(24, 155)(25, 189)(26, 190)(27, 191)(28, 157)(29, 158)(30, 194)(31, 159)(32, 196)(33, 163)(34, 197)(35, 162)(36, 166)(37, 164)(38, 198)(39, 199)(40, 202)(41, 206)(42, 167)(43, 209)(44, 210)(45, 169)(46, 170)(47, 171)(48, 213)(49, 214)(50, 174)(51, 215)(52, 176)(53, 178)(54, 182)(55, 183)(56, 207)(57, 205)(58, 184)(59, 208)(60, 211)(61, 201)(62, 185)(63, 200)(64, 203)(65, 187)(66, 188)(67, 204)(68, 216)(69, 192)(70, 193)(71, 195)(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, 18 ), ( 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18 ) }
Outer automorphisms :: reflexible
Dual of E13.1319
Graph:: simple bipartite
	v = 76 e = 144 f = 44
	degree seq :: [ 2^72, 36^4 ]

E13.1323 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 9, 18})
Quotient :: dipole
Aut^+ = C2 x ((C2 x C2) : C9) (small group id <72, 16>)
Aut   = C2 x (((C2 x C2) : C9) : C2) (small group id <144, 109>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y2^3 * Y1 * Y2^-3 * Y1, (Y2^-1 * R * Y2^-2)^2, (Y2 * Y1 * Y2^-1 * Y1)^2, Y2^5 * Y1 * Y2^2 * Y1 * Y2^2 * Y1, Y2^18, (Y3 * Y2^-1)^9 ]
Map::
	R = (1, 73, 2, 74)(3, 75, 7, 79)(4, 76, 9, 81)(5, 77, 11, 83)(6, 78, 13, 85)(8, 80, 17, 89)(10, 82, 21, 93)(12, 84, 25, 97)(14, 86, 29, 101)(15, 87, 31, 103)(16, 88, 24, 96)(18, 90, 26, 98)(19, 91, 27, 99)(20, 92, 37, 109)(22, 94, 30, 102)(23, 95, 41, 113)(28, 100, 47, 119)(32, 104, 42, 114)(33, 105, 54, 126)(34, 106, 44, 116)(35, 107, 52, 124)(36, 108, 53, 125)(38, 110, 48, 120)(39, 111, 49, 121)(40, 112, 58, 130)(43, 115, 64, 136)(45, 117, 62, 134)(46, 118, 63, 135)(50, 122, 68, 140)(51, 123, 61, 133)(55, 127, 70, 142)(56, 128, 69, 141)(57, 129, 67, 139)(59, 131, 66, 138)(60, 132, 65, 137)(71, 143, 72, 144)(145, 217, 147, 219, 152, 224, 162, 234, 180, 252, 200, 272, 211, 283, 191, 263, 208, 280, 216, 288, 206, 278, 185, 257, 205, 277, 204, 276, 184, 256, 166, 238, 154, 226, 148, 220)(146, 218, 149, 221, 156, 228, 170, 242, 190, 262, 210, 282, 201, 273, 181, 253, 198, 270, 215, 287, 196, 268, 175, 247, 195, 267, 214, 286, 194, 266, 174, 246, 158, 230, 150, 222)(151, 223, 159, 231, 176, 248, 197, 269, 212, 284, 192, 264, 172, 244, 157, 229, 171, 243, 189, 261, 169, 241, 188, 260, 209, 281, 203, 275, 183, 255, 165, 237, 177, 249, 160, 232)(153, 225, 163, 235, 179, 251, 161, 233, 178, 250, 199, 271, 213, 285, 193, 265, 173, 245, 187, 259, 168, 240, 155, 227, 167, 239, 186, 258, 207, 279, 202, 274, 182, 254, 164, 236)
	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, 168)(17, 152)(18, 170)(19, 171)(20, 181)(21, 154)(22, 174)(23, 185)(24, 160)(25, 156)(26, 162)(27, 163)(28, 191)(29, 158)(30, 166)(31, 159)(32, 186)(33, 198)(34, 188)(35, 196)(36, 197)(37, 164)(38, 192)(39, 193)(40, 202)(41, 167)(42, 176)(43, 208)(44, 178)(45, 206)(46, 207)(47, 172)(48, 182)(49, 183)(50, 212)(51, 205)(52, 179)(53, 180)(54, 177)(55, 214)(56, 213)(57, 211)(58, 184)(59, 210)(60, 209)(61, 195)(62, 189)(63, 190)(64, 187)(65, 204)(66, 203)(67, 201)(68, 194)(69, 200)(70, 199)(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) :: { ( 2, 18, 2, 18 ), ( 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 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 E13.1324
Graph:: bipartite
	v = 40 e = 144 f = 80
	degree seq :: [ 4^36, 36^4 ]

E13.1324 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 9, 18})
Quotient :: dipole
Aut^+ = C2 x ((C2 x C2) : C9) (small group id <72, 16>)
Aut   = C2 x (((C2 x C2) : C9) : C2) (small group id <144, 109>)
|r| :: 2
Presentation :: [ Y2, R^2, (Y1^-1 * Y3^-1)^2, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, Y1^4 * Y3 * Y1^-2 * Y3, Y1 * Y3^-2 * Y1 * Y3^4, Y1^-1 * Y3^-1 * Y1 * Y3^-2 * Y1^-1 * Y3 * Y1^-1, Y1^2 * Y3 * Y1^-1 * Y3^-2 * Y1^-1 * Y3, Y1^9, Y3^-1 * Y1 * Y3^-3 * Y1^2 * Y3^-2, (Y3 * Y2^-1)^18 ]
Map::
	R = (1, 73, 2, 74, 6, 78, 16, 88, 40, 112, 66, 138, 34, 106, 13, 85, 4, 76)(3, 75, 9, 81, 23, 95, 41, 113, 18, 90, 45, 117, 67, 139, 29, 101, 11, 83)(5, 77, 14, 86, 35, 107, 42, 114, 64, 136, 33, 105, 51, 123, 20, 92, 7, 79)(8, 80, 21, 93, 52, 124, 62, 134, 32, 104, 12, 84, 30, 102, 44, 116, 17, 89)(10, 82, 25, 97, 59, 131, 68, 140, 53, 125, 22, 94, 55, 127, 63, 135, 27, 99)(15, 87, 38, 110, 54, 126, 60, 132, 31, 103, 50, 122, 70, 142, 43, 115, 36, 108)(19, 91, 47, 119, 24, 96, 57, 129, 37, 109, 46, 118, 65, 137, 28, 100, 49, 121)(26, 98, 48, 120, 69, 141, 72, 144, 71, 143, 58, 130, 39, 111, 56, 128, 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, 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, 191)(24, 153)(25, 155)(26, 204)(27, 206)(28, 208)(29, 210)(30, 157)(31, 205)(32, 207)(33, 209)(34, 211)(35, 201)(36, 188)(37, 158)(38, 202)(39, 159)(40, 179)(41, 212)(42, 160)(43, 213)(44, 169)(45, 181)(46, 162)(47, 164)(48, 171)(49, 173)(50, 176)(51, 178)(52, 182)(53, 167)(54, 165)(55, 183)(56, 166)(57, 215)(58, 168)(59, 174)(60, 186)(61, 190)(62, 184)(63, 189)(64, 198)(65, 200)(66, 196)(67, 199)(68, 216)(69, 193)(70, 195)(71, 203)(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, 36 ), ( 4, 36, 4, 36, 4, 36, 4, 36, 4, 36, 4, 36, 4, 36, 4, 36, 4, 36 ) }
Outer automorphisms :: reflexible
Dual of E13.1323
Graph:: simple bipartite
	v = 80 e = 144 f = 40
	degree seq :: [ 2^72, 18^8 ]

E13.1325 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 6, 39})
Quotient :: regular
Aut^+ = C3 x D26 (small group id <78, 4>)
Aut   = S3 x D26 (small group id <156, 11>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, (T1^-3 * T2)^2, T2 * T1 * T2 * T1 * T2 * T1^-1 * T2 * T1^-1, T1^8 * T2 * T1^-5 * T2 ]
Map:: non-degenerate
	R = (1, 2, 5, 11, 23, 39, 53, 65, 72, 61, 48, 32, 45, 34, 17, 29, 43, 56, 68, 77, 78, 73, 60, 49, 33, 16, 28, 42, 35, 46, 58, 70, 76, 64, 52, 38, 22, 10, 4)(3, 7, 15, 31, 47, 59, 71, 67, 54, 44, 26, 12, 25, 20, 9, 19, 36, 50, 62, 74, 69, 55, 40, 30, 14, 6, 13, 27, 21, 37, 51, 63, 75, 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, 74)(67, 77)(69, 76)(75, 78)
	local type(s) :: { ( 6^39 ) }
Outer automorphisms :: reflexible
Dual of E13.1326
Transitivity :: ET+ VT+ AT+ REG+
Graph:: bipartite
	v = 2 e = 39 f = 13
	degree seq :: [ 39^2 ]

E13.1326 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 6, 39})
Quotient :: regular
Aut^+ = C3 x D26 (small group id <78, 4>)
Aut   = S3 x D26 (small group id <156, 11>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T1^-1 * T2 * T1^2 * T2 * T1^-1, T1^6, 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 * 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 ]
Map:: non-degenerate
	R = (1, 2, 5, 11, 10, 4)(3, 7, 12, 20, 17, 8)(6, 13, 19, 18, 9, 14)(15, 23, 27, 25, 16, 24)(21, 28, 26, 30, 22, 29)(31, 37, 33, 39, 32, 38)(34, 40, 36, 42, 35, 41)(43, 49, 45, 51, 44, 50)(46, 52, 48, 54, 47, 53)(55, 61, 57, 63, 56, 62)(58, 64, 60, 66, 59, 65)(67, 73, 69, 75, 68, 74)(70, 76, 72, 78, 71, 77)
	L = (1, 3)(2, 6)(4, 9)(5, 12)(7, 15)(8, 16)(10, 17)(11, 19)(13, 21)(14, 22)(18, 26)(20, 27)(23, 31)(24, 32)(25, 33)(28, 34)(29, 35)(30, 36)(37, 43)(38, 44)(39, 45)(40, 46)(41, 47)(42, 48)(49, 55)(50, 56)(51, 57)(52, 58)(53, 59)(54, 60)(61, 67)(62, 68)(63, 69)(64, 70)(65, 71)(66, 72)(73, 78)(74, 76)(75, 77)
	local type(s) :: { ( 39^6 ) }
Outer automorphisms :: reflexible
Dual of E13.1325
Transitivity :: ET+ VT+ AT+ REG+
Graph::
	v = 13 e = 39 f = 2
	degree seq :: [ 6^13 ]

E13.1327 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 6, 39})
Quotient :: edge
Aut^+ = C3 x D26 (small group id <78, 4>)
Aut   = S3 x D26 (small group id <156, 11>)
|r| :: 2
Presentation :: [ 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^-1 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2 * T1, (T2^-1 * T1)^39 ]
Map::
	R = (1, 3, 8, 17, 10, 4)(2, 5, 12, 21, 14, 6)(7, 15, 24, 18, 9, 16)(11, 19, 28, 22, 13, 20)(23, 31, 26, 33, 25, 32)(27, 34, 30, 36, 29, 35)(37, 43, 39, 45, 38, 44)(40, 46, 42, 48, 41, 47)(49, 55, 51, 57, 50, 56)(52, 58, 54, 60, 53, 59)(61, 67, 63, 69, 62, 68)(64, 70, 66, 72, 65, 71)(73, 77, 75, 76, 74, 78)(79, 80)(81, 85)(82, 87)(83, 89)(84, 91)(86, 90)(88, 92)(93, 101)(94, 103)(95, 102)(96, 104)(97, 105)(98, 107)(99, 106)(100, 108)(109, 115)(110, 116)(111, 117)(112, 118)(113, 119)(114, 120)(121, 127)(122, 128)(123, 129)(124, 130)(125, 131)(126, 132)(133, 139)(134, 140)(135, 141)(136, 142)(137, 143)(138, 144)(145, 151)(146, 152)(147, 153)(148, 154)(149, 155)(150, 156)
	L = (1, 79)(2, 80)(3, 81)(4, 82)(5, 83)(6, 84)(7, 85)(8, 86)(9, 87)(10, 88)(11, 89)(12, 90)(13, 91)(14, 92)(15, 93)(16, 94)(17, 95)(18, 96)(19, 97)(20, 98)(21, 99)(22, 100)(23, 101)(24, 102)(25, 103)(26, 104)(27, 105)(28, 106)(29, 107)(30, 108)(31, 109)(32, 110)(33, 111)(34, 112)(35, 113)(36, 114)(37, 115)(38, 116)(39, 117)(40, 118)(41, 119)(42, 120)(43, 121)(44, 122)(45, 123)(46, 124)(47, 125)(48, 126)(49, 127)(50, 128)(51, 129)(52, 130)(53, 131)(54, 132)(55, 133)(56, 134)(57, 135)(58, 136)(59, 137)(60, 138)(61, 139)(62, 140)(63, 141)(64, 142)(65, 143)(66, 144)(67, 145)(68, 146)(69, 147)(70, 148)(71, 149)(72, 150)(73, 151)(74, 152)(75, 153)(76, 154)(77, 155)(78, 156)
	local type(s) :: { ( 78, 78 ), ( 78^6 ) }
Outer automorphisms :: reflexible
Dual of E13.1331
Transitivity :: ET+
Graph:: simple bipartite
	v = 52 e = 78 f = 2
	degree seq :: [ 2^39, 6^13 ]

E13.1328 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 6, 39})
Quotient :: edge
Aut^+ = C3 x D26 (small group id <78, 4>)
Aut   = S3 x D26 (small group id <156, 11>)
|r| :: 2
Presentation :: [ F^2, (T2 * T1)^2, (F * T2)^2, (F * T1)^2, T2 * T1^-1 * T2 * T1^3, T2 * T1^-1 * T2 * T1^-3, T2^-1 * T1^-1 * T2^10 * T1^-1 * T2^-2 ]
Map:: polytopal non-degenerate
	R = (1, 3, 10, 25, 37, 49, 61, 73, 66, 54, 42, 30, 18, 6, 17, 29, 41, 53, 65, 77, 78, 67, 55, 43, 31, 20, 13, 21, 33, 45, 57, 69, 76, 64, 52, 40, 28, 15, 5)(2, 7, 19, 32, 44, 56, 68, 72, 60, 48, 36, 24, 11, 16, 14, 27, 39, 51, 63, 75, 71, 59, 47, 35, 23, 9, 4, 12, 26, 38, 50, 62, 74, 70, 58, 46, 34, 22, 8)(79, 80, 84, 94, 91, 82)(81, 87, 95, 86, 99, 89)(83, 92, 96, 90, 98, 85)(88, 102, 107, 101, 111, 100)(93, 104, 108, 97, 109, 105)(103, 112, 119, 114, 123, 113)(106, 110, 120, 117, 121, 116)(115, 125, 131, 124, 135, 126)(118, 129, 132, 128, 133, 122)(127, 138, 143, 137, 147, 136)(130, 140, 144, 134, 145, 141)(139, 148, 155, 150, 154, 149)(142, 146, 151, 153, 156, 152)
	L = (1, 79)(2, 80)(3, 81)(4, 82)(5, 83)(6, 84)(7, 85)(8, 86)(9, 87)(10, 88)(11, 89)(12, 90)(13, 91)(14, 92)(15, 93)(16, 94)(17, 95)(18, 96)(19, 97)(20, 98)(21, 99)(22, 100)(23, 101)(24, 102)(25, 103)(26, 104)(27, 105)(28, 106)(29, 107)(30, 108)(31, 109)(32, 110)(33, 111)(34, 112)(35, 113)(36, 114)(37, 115)(38, 116)(39, 117)(40, 118)(41, 119)(42, 120)(43, 121)(44, 122)(45, 123)(46, 124)(47, 125)(48, 126)(49, 127)(50, 128)(51, 129)(52, 130)(53, 131)(54, 132)(55, 133)(56, 134)(57, 135)(58, 136)(59, 137)(60, 138)(61, 139)(62, 140)(63, 141)(64, 142)(65, 143)(66, 144)(67, 145)(68, 146)(69, 147)(70, 148)(71, 149)(72, 150)(73, 151)(74, 152)(75, 153)(76, 154)(77, 155)(78, 156)
	local type(s) :: { ( 4^6 ), ( 4^39 ) }
Outer automorphisms :: reflexible
Dual of E13.1332
Transitivity :: ET+
Graph:: bipartite
	v = 15 e = 78 f = 39
	degree seq :: [ 6^13, 39^2 ]

E13.1329 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 6, 39})
Quotient :: edge
Aut^+ = C3 x D26 (small group id <78, 4>)
Aut   = S3 x D26 (small group id <156, 11>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, (T1^-3 * T2)^2, T2 * T1 * T2 * T1 * T2 * T1^-1 * T2 * T1^-1, T1^8 * T2 * T1^-5 * T2 ]
Map::
	R = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 17)(10, 21)(11, 24)(13, 28)(14, 29)(15, 32)(18, 35)(19, 33)(20, 34)(22, 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, 74)(67, 77)(69, 76)(75, 78)(79, 80, 83, 89, 101, 117, 131, 143, 150, 139, 126, 110, 123, 112, 95, 107, 121, 134, 146, 155, 156, 151, 138, 127, 111, 94, 106, 120, 113, 124, 136, 148, 154, 142, 130, 116, 100, 88, 82)(81, 85, 93, 109, 125, 137, 149, 145, 132, 122, 104, 90, 103, 98, 87, 97, 114, 128, 140, 152, 147, 133, 118, 108, 92, 84, 91, 105, 99, 115, 129, 141, 153, 144, 135, 119, 102, 96, 86)
	L = (1, 79)(2, 80)(3, 81)(4, 82)(5, 83)(6, 84)(7, 85)(8, 86)(9, 87)(10, 88)(11, 89)(12, 90)(13, 91)(14, 92)(15, 93)(16, 94)(17, 95)(18, 96)(19, 97)(20, 98)(21, 99)(22, 100)(23, 101)(24, 102)(25, 103)(26, 104)(27, 105)(28, 106)(29, 107)(30, 108)(31, 109)(32, 110)(33, 111)(34, 112)(35, 113)(36, 114)(37, 115)(38, 116)(39, 117)(40, 118)(41, 119)(42, 120)(43, 121)(44, 122)(45, 123)(46, 124)(47, 125)(48, 126)(49, 127)(50, 128)(51, 129)(52, 130)(53, 131)(54, 132)(55, 133)(56, 134)(57, 135)(58, 136)(59, 137)(60, 138)(61, 139)(62, 140)(63, 141)(64, 142)(65, 143)(66, 144)(67, 145)(68, 146)(69, 147)(70, 148)(71, 149)(72, 150)(73, 151)(74, 152)(75, 153)(76, 154)(77, 155)(78, 156)
	local type(s) :: { ( 12, 12 ), ( 12^39 ) }
Outer automorphisms :: reflexible
Dual of E13.1330
Transitivity :: ET+
Graph:: simple bipartite
	v = 41 e = 78 f = 13
	degree seq :: [ 2^39, 39^2 ]

E13.1330 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 6, 39})
Quotient :: loop
Aut^+ = C3 x D26 (small group id <78, 4>)
Aut   = S3 x D26 (small group id <156, 11>)
|r| :: 2
Presentation :: [ 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^-1 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2 * T1, (T2^-1 * T1)^39 ]
Map::
	R = (1, 79, 3, 81, 8, 86, 17, 95, 10, 88, 4, 82)(2, 80, 5, 83, 12, 90, 21, 99, 14, 92, 6, 84)(7, 85, 15, 93, 24, 102, 18, 96, 9, 87, 16, 94)(11, 89, 19, 97, 28, 106, 22, 100, 13, 91, 20, 98)(23, 101, 31, 109, 26, 104, 33, 111, 25, 103, 32, 110)(27, 105, 34, 112, 30, 108, 36, 114, 29, 107, 35, 113)(37, 115, 43, 121, 39, 117, 45, 123, 38, 116, 44, 122)(40, 118, 46, 124, 42, 120, 48, 126, 41, 119, 47, 125)(49, 127, 55, 133, 51, 129, 57, 135, 50, 128, 56, 134)(52, 130, 58, 136, 54, 132, 60, 138, 53, 131, 59, 137)(61, 139, 67, 145, 63, 141, 69, 147, 62, 140, 68, 146)(64, 142, 70, 148, 66, 144, 72, 150, 65, 143, 71, 149)(73, 151, 77, 155, 75, 153, 76, 154, 74, 152, 78, 156)
	L = (1, 80)(2, 79)(3, 85)(4, 87)(5, 89)(6, 91)(7, 81)(8, 90)(9, 82)(10, 92)(11, 83)(12, 86)(13, 84)(14, 88)(15, 101)(16, 103)(17, 102)(18, 104)(19, 105)(20, 107)(21, 106)(22, 108)(23, 93)(24, 95)(25, 94)(26, 96)(27, 97)(28, 99)(29, 98)(30, 100)(31, 115)(32, 116)(33, 117)(34, 118)(35, 119)(36, 120)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 127)(44, 128)(45, 129)(46, 130)(47, 131)(48, 132)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 139)(56, 140)(57, 141)(58, 142)(59, 143)(60, 144)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 151)(68, 152)(69, 153)(70, 154)(71, 155)(72, 156)(73, 145)(74, 146)(75, 147)(76, 148)(77, 149)(78, 150)
	local type(s) :: { ( 2, 39, 2, 39, 2, 39, 2, 39, 2, 39, 2, 39 ) }
Outer automorphisms :: reflexible
Dual of E13.1329
Transitivity :: ET+ VT+ AT
Graph::
	v = 13 e = 78 f = 41
	degree seq :: [ 12^13 ]

E13.1331 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 6, 39})
Quotient :: loop
Aut^+ = C3 x D26 (small group id <78, 4>)
Aut   = S3 x D26 (small group id <156, 11>)
|r| :: 2
Presentation :: [ F^2, (T2 * T1)^2, (F * T2)^2, (F * T1)^2, T2 * T1^-1 * T2 * T1^3, T2 * T1^-1 * T2 * T1^-3, T2^-1 * T1^-1 * T2^10 * T1^-1 * T2^-2 ]
Map::
	R = (1, 79, 3, 81, 10, 88, 25, 103, 37, 115, 49, 127, 61, 139, 73, 151, 66, 144, 54, 132, 42, 120, 30, 108, 18, 96, 6, 84, 17, 95, 29, 107, 41, 119, 53, 131, 65, 143, 77, 155, 78, 156, 67, 145, 55, 133, 43, 121, 31, 109, 20, 98, 13, 91, 21, 99, 33, 111, 45, 123, 57, 135, 69, 147, 76, 154, 64, 142, 52, 130, 40, 118, 28, 106, 15, 93, 5, 83)(2, 80, 7, 85, 19, 97, 32, 110, 44, 122, 56, 134, 68, 146, 72, 150, 60, 138, 48, 126, 36, 114, 24, 102, 11, 89, 16, 94, 14, 92, 27, 105, 39, 117, 51, 129, 63, 141, 75, 153, 71, 149, 59, 137, 47, 125, 35, 113, 23, 101, 9, 87, 4, 82, 12, 90, 26, 104, 38, 116, 50, 128, 62, 140, 74, 152, 70, 148, 58, 136, 46, 124, 34, 112, 22, 100, 8, 86)
	L = (1, 80)(2, 84)(3, 87)(4, 79)(5, 92)(6, 94)(7, 83)(8, 99)(9, 95)(10, 102)(11, 81)(12, 98)(13, 82)(14, 96)(15, 104)(16, 91)(17, 86)(18, 90)(19, 109)(20, 85)(21, 89)(22, 88)(23, 111)(24, 107)(25, 112)(26, 108)(27, 93)(28, 110)(29, 101)(30, 97)(31, 105)(32, 120)(33, 100)(34, 119)(35, 103)(36, 123)(37, 125)(38, 106)(39, 121)(40, 129)(41, 114)(42, 117)(43, 116)(44, 118)(45, 113)(46, 135)(47, 131)(48, 115)(49, 138)(50, 133)(51, 132)(52, 140)(53, 124)(54, 128)(55, 122)(56, 145)(57, 126)(58, 127)(59, 147)(60, 143)(61, 148)(62, 144)(63, 130)(64, 146)(65, 137)(66, 134)(67, 141)(68, 151)(69, 136)(70, 155)(71, 139)(72, 154)(73, 153)(74, 142)(75, 156)(76, 149)(77, 150)(78, 152)
	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 ) }
Outer automorphisms :: reflexible
Dual of E13.1327
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 2 e = 78 f = 52
	degree seq :: [ 78^2 ]

E13.1332 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 6, 39})
Quotient :: loop
Aut^+ = C3 x D26 (small group id <78, 4>)
Aut   = S3 x D26 (small group id <156, 11>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, (T1^-3 * T2)^2, T2 * T1 * T2 * T1 * T2 * T1^-1 * T2 * T1^-1, T1^8 * T2 * T1^-5 * T2 ]
Map:: polytopal non-degenerate
	R = (1, 79, 3, 81)(2, 80, 6, 84)(4, 82, 9, 87)(5, 83, 12, 90)(7, 85, 16, 94)(8, 86, 17, 95)(10, 88, 21, 99)(11, 89, 24, 102)(13, 91, 28, 106)(14, 92, 29, 107)(15, 93, 32, 110)(18, 96, 35, 113)(19, 97, 33, 111)(20, 98, 34, 112)(22, 100, 31, 109)(23, 101, 40, 118)(25, 103, 42, 120)(26, 104, 43, 121)(27, 105, 45, 123)(30, 108, 46, 124)(36, 114, 48, 126)(37, 115, 49, 127)(38, 116, 50, 128)(39, 117, 54, 132)(41, 119, 56, 134)(44, 122, 58, 136)(47, 125, 60, 138)(51, 129, 61, 139)(52, 130, 63, 141)(53, 131, 66, 144)(55, 133, 68, 146)(57, 135, 70, 148)(59, 137, 72, 150)(62, 140, 73, 151)(64, 142, 71, 149)(65, 143, 74, 152)(67, 145, 77, 155)(69, 147, 76, 154)(75, 153, 78, 156)
	L = (1, 80)(2, 83)(3, 85)(4, 79)(5, 89)(6, 91)(7, 93)(8, 81)(9, 97)(10, 82)(11, 101)(12, 103)(13, 105)(14, 84)(15, 109)(16, 106)(17, 107)(18, 86)(19, 114)(20, 87)(21, 115)(22, 88)(23, 117)(24, 96)(25, 98)(26, 90)(27, 99)(28, 120)(29, 121)(30, 92)(31, 125)(32, 123)(33, 94)(34, 95)(35, 124)(36, 128)(37, 129)(38, 100)(39, 131)(40, 108)(41, 102)(42, 113)(43, 134)(44, 104)(45, 112)(46, 136)(47, 137)(48, 110)(49, 111)(50, 140)(51, 141)(52, 116)(53, 143)(54, 122)(55, 118)(56, 146)(57, 119)(58, 148)(59, 149)(60, 127)(61, 126)(62, 152)(63, 153)(64, 130)(65, 150)(66, 135)(67, 132)(68, 155)(69, 133)(70, 154)(71, 145)(72, 139)(73, 138)(74, 147)(75, 144)(76, 142)(77, 156)(78, 151)
	local type(s) :: { ( 6, 39, 6, 39 ) }
Outer automorphisms :: reflexible
Dual of E13.1328
Transitivity :: ET+ VT+ AT
Graph:: simple
	v = 39 e = 78 f = 15
	degree seq :: [ 4^39 ]

E13.1333 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 39})
Quotient :: dipole
Aut^+ = C3 x D26 (small group id <78, 4>)
Aut   = S3 x D26 (small group id <156, 11>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y2^2 * Y1 * Y2^-2 * Y1, 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 * Y1, (Y3 * Y2^-1)^39 ]
Map::
	R = (1, 79, 2, 80)(3, 81, 7, 85)(4, 82, 9, 87)(5, 83, 11, 89)(6, 84, 13, 91)(8, 86, 12, 90)(10, 88, 14, 92)(15, 93, 23, 101)(16, 94, 25, 103)(17, 95, 24, 102)(18, 96, 26, 104)(19, 97, 27, 105)(20, 98, 29, 107)(21, 99, 28, 106)(22, 100, 30, 108)(31, 109, 37, 115)(32, 110, 38, 116)(33, 111, 39, 117)(34, 112, 40, 118)(35, 113, 41, 119)(36, 114, 42, 120)(43, 121, 49, 127)(44, 122, 50, 128)(45, 123, 51, 129)(46, 124, 52, 130)(47, 125, 53, 131)(48, 126, 54, 132)(55, 133, 61, 139)(56, 134, 62, 140)(57, 135, 63, 141)(58, 136, 64, 142)(59, 137, 65, 143)(60, 138, 66, 144)(67, 145, 73, 151)(68, 146, 74, 152)(69, 147, 75, 153)(70, 148, 76, 154)(71, 149, 77, 155)(72, 150, 78, 156)(157, 235, 159, 237, 164, 242, 173, 251, 166, 244, 160, 238)(158, 236, 161, 239, 168, 246, 177, 255, 170, 248, 162, 240)(163, 241, 171, 249, 180, 258, 174, 252, 165, 243, 172, 250)(167, 245, 175, 253, 184, 262, 178, 256, 169, 247, 176, 254)(179, 257, 187, 265, 182, 260, 189, 267, 181, 259, 188, 266)(183, 261, 190, 268, 186, 264, 192, 270, 185, 263, 191, 269)(193, 271, 199, 277, 195, 273, 201, 279, 194, 272, 200, 278)(196, 274, 202, 280, 198, 276, 204, 282, 197, 275, 203, 281)(205, 283, 211, 289, 207, 285, 213, 291, 206, 284, 212, 290)(208, 286, 214, 292, 210, 288, 216, 294, 209, 287, 215, 293)(217, 295, 223, 301, 219, 297, 225, 303, 218, 296, 224, 302)(220, 298, 226, 304, 222, 300, 228, 306, 221, 299, 227, 305)(229, 307, 233, 311, 231, 309, 232, 310, 230, 308, 234, 312)
	L = (1, 158)(2, 157)(3, 163)(4, 165)(5, 167)(6, 169)(7, 159)(8, 168)(9, 160)(10, 170)(11, 161)(12, 164)(13, 162)(14, 166)(15, 179)(16, 181)(17, 180)(18, 182)(19, 183)(20, 185)(21, 184)(22, 186)(23, 171)(24, 173)(25, 172)(26, 174)(27, 175)(28, 177)(29, 176)(30, 178)(31, 193)(32, 194)(33, 195)(34, 196)(35, 197)(36, 198)(37, 187)(38, 188)(39, 189)(40, 190)(41, 191)(42, 192)(43, 205)(44, 206)(45, 207)(46, 208)(47, 209)(48, 210)(49, 199)(50, 200)(51, 201)(52, 202)(53, 203)(54, 204)(55, 217)(56, 218)(57, 219)(58, 220)(59, 221)(60, 222)(61, 211)(62, 212)(63, 213)(64, 214)(65, 215)(66, 216)(67, 229)(68, 230)(69, 231)(70, 232)(71, 233)(72, 234)(73, 223)(74, 224)(75, 225)(76, 226)(77, 227)(78, 228)(79, 235)(80, 236)(81, 237)(82, 238)(83, 239)(84, 240)(85, 241)(86, 242)(87, 243)(88, 244)(89, 245)(90, 246)(91, 247)(92, 248)(93, 249)(94, 250)(95, 251)(96, 252)(97, 253)(98, 254)(99, 255)(100, 256)(101, 257)(102, 258)(103, 259)(104, 260)(105, 261)(106, 262)(107, 263)(108, 264)(109, 265)(110, 266)(111, 267)(112, 268)(113, 269)(114, 270)(115, 271)(116, 272)(117, 273)(118, 274)(119, 275)(120, 276)(121, 277)(122, 278)(123, 279)(124, 280)(125, 281)(126, 282)(127, 283)(128, 284)(129, 285)(130, 286)(131, 287)(132, 288)(133, 289)(134, 290)(135, 291)(136, 292)(137, 293)(138, 294)(139, 295)(140, 296)(141, 297)(142, 298)(143, 299)(144, 300)(145, 301)(146, 302)(147, 303)(148, 304)(149, 305)(150, 306)(151, 307)(152, 308)(153, 309)(154, 310)(155, 311)(156, 312)
	local type(s) :: { ( 2, 78, 2, 78 ), ( 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78 ) }
Outer automorphisms :: reflexible
Dual of E13.1336
Graph:: bipartite
	v = 52 e = 156 f = 80
	degree seq :: [ 4^39, 12^13 ]

E13.1334 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 39})
Quotient :: dipole
Aut^+ = C3 x D26 (small group id <78, 4>)
Aut   = S3 x D26 (small group id <156, 11>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, (Y3^-1 * Y1^-1)^2, (R * Y1)^2, (R * Y3)^2, (Y2^-1 * Y1^-1)^2, Y1^-3 * Y2^-1 * Y1 * Y2^-1, Y2^-1 * Y1^3 * Y2^-1 * Y1, Y1^6, Y1^-1 * Y2^-12 * Y1^-1 * Y2 ]
Map::
	R = (1, 79, 2, 80, 6, 84, 16, 94, 13, 91, 4, 82)(3, 81, 9, 87, 17, 95, 8, 86, 21, 99, 11, 89)(5, 83, 14, 92, 18, 96, 12, 90, 20, 98, 7, 85)(10, 88, 24, 102, 29, 107, 23, 101, 33, 111, 22, 100)(15, 93, 26, 104, 30, 108, 19, 97, 31, 109, 27, 105)(25, 103, 34, 112, 41, 119, 36, 114, 45, 123, 35, 113)(28, 106, 32, 110, 42, 120, 39, 117, 43, 121, 38, 116)(37, 115, 47, 125, 53, 131, 46, 124, 57, 135, 48, 126)(40, 118, 51, 129, 54, 132, 50, 128, 55, 133, 44, 122)(49, 127, 60, 138, 65, 143, 59, 137, 69, 147, 58, 136)(52, 130, 62, 140, 66, 144, 56, 134, 67, 145, 63, 141)(61, 139, 70, 148, 77, 155, 72, 150, 76, 154, 71, 149)(64, 142, 68, 146, 73, 151, 75, 153, 78, 156, 74, 152)(157, 235, 159, 237, 166, 244, 181, 259, 193, 271, 205, 283, 217, 295, 229, 307, 222, 300, 210, 288, 198, 276, 186, 264, 174, 252, 162, 240, 173, 251, 185, 263, 197, 275, 209, 287, 221, 299, 233, 311, 234, 312, 223, 301, 211, 289, 199, 277, 187, 265, 176, 254, 169, 247, 177, 255, 189, 267, 201, 279, 213, 291, 225, 303, 232, 310, 220, 298, 208, 286, 196, 274, 184, 262, 171, 249, 161, 239)(158, 236, 163, 241, 175, 253, 188, 266, 200, 278, 212, 290, 224, 302, 228, 306, 216, 294, 204, 282, 192, 270, 180, 258, 167, 245, 172, 250, 170, 248, 183, 261, 195, 273, 207, 285, 219, 297, 231, 309, 227, 305, 215, 293, 203, 281, 191, 269, 179, 257, 165, 243, 160, 238, 168, 246, 182, 260, 194, 272, 206, 284, 218, 296, 230, 308, 226, 304, 214, 292, 202, 280, 190, 268, 178, 256, 164, 242)
	L = (1, 159)(2, 163)(3, 166)(4, 168)(5, 157)(6, 173)(7, 175)(8, 158)(9, 160)(10, 181)(11, 172)(12, 182)(13, 177)(14, 183)(15, 161)(16, 170)(17, 185)(18, 162)(19, 188)(20, 169)(21, 189)(22, 164)(23, 165)(24, 167)(25, 193)(26, 194)(27, 195)(28, 171)(29, 197)(30, 174)(31, 176)(32, 200)(33, 201)(34, 178)(35, 179)(36, 180)(37, 205)(38, 206)(39, 207)(40, 184)(41, 209)(42, 186)(43, 187)(44, 212)(45, 213)(46, 190)(47, 191)(48, 192)(49, 217)(50, 218)(51, 219)(52, 196)(53, 221)(54, 198)(55, 199)(56, 224)(57, 225)(58, 202)(59, 203)(60, 204)(61, 229)(62, 230)(63, 231)(64, 208)(65, 233)(66, 210)(67, 211)(68, 228)(69, 232)(70, 214)(71, 215)(72, 216)(73, 222)(74, 226)(75, 227)(76, 220)(77, 234)(78, 223)(79, 235)(80, 236)(81, 237)(82, 238)(83, 239)(84, 240)(85, 241)(86, 242)(87, 243)(88, 244)(89, 245)(90, 246)(91, 247)(92, 248)(93, 249)(94, 250)(95, 251)(96, 252)(97, 253)(98, 254)(99, 255)(100, 256)(101, 257)(102, 258)(103, 259)(104, 260)(105, 261)(106, 262)(107, 263)(108, 264)(109, 265)(110, 266)(111, 267)(112, 268)(113, 269)(114, 270)(115, 271)(116, 272)(117, 273)(118, 274)(119, 275)(120, 276)(121, 277)(122, 278)(123, 279)(124, 280)(125, 281)(126, 282)(127, 283)(128, 284)(129, 285)(130, 286)(131, 287)(132, 288)(133, 289)(134, 290)(135, 291)(136, 292)(137, 293)(138, 294)(139, 295)(140, 296)(141, 297)(142, 298)(143, 299)(144, 300)(145, 301)(146, 302)(147, 303)(148, 304)(149, 305)(150, 306)(151, 307)(152, 308)(153, 309)(154, 310)(155, 311)(156, 312)
	local type(s) :: { ( 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4 ), ( 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 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 E13.1335
Graph:: bipartite
	v = 15 e = 156 f = 117
	degree seq :: [ 12^13, 78^2 ]

E13.1335 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 39})
Quotient :: dipole
Aut^+ = C3 x D26 (small group id <78, 4>)
Aut   = S3 x D26 (small group id <156, 11>)
|r| :: 2
Presentation :: [ Y1, 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, Y3^3 * Y2 * Y3^-8 * Y2 * Y3^2, (Y3^-1 * Y1^-1)^39 ]
Map:: polytopal
	R = (1, 79)(2, 80)(3, 81)(4, 82)(5, 83)(6, 84)(7, 85)(8, 86)(9, 87)(10, 88)(11, 89)(12, 90)(13, 91)(14, 92)(15, 93)(16, 94)(17, 95)(18, 96)(19, 97)(20, 98)(21, 99)(22, 100)(23, 101)(24, 102)(25, 103)(26, 104)(27, 105)(28, 106)(29, 107)(30, 108)(31, 109)(32, 110)(33, 111)(34, 112)(35, 113)(36, 114)(37, 115)(38, 116)(39, 117)(40, 118)(41, 119)(42, 120)(43, 121)(44, 122)(45, 123)(46, 124)(47, 125)(48, 126)(49, 127)(50, 128)(51, 129)(52, 130)(53, 131)(54, 132)(55, 133)(56, 134)(57, 135)(58, 136)(59, 137)(60, 138)(61, 139)(62, 140)(63, 141)(64, 142)(65, 143)(66, 144)(67, 145)(68, 146)(69, 147)(70, 148)(71, 149)(72, 150)(73, 151)(74, 152)(75, 153)(76, 154)(77, 155)(78, 156)(157, 235, 158, 236)(159, 237, 163, 241)(160, 238, 165, 243)(161, 239, 167, 245)(162, 240, 169, 247)(164, 242, 173, 251)(166, 244, 177, 255)(168, 246, 181, 259)(170, 248, 185, 263)(171, 249, 179, 257)(172, 250, 183, 261)(174, 252, 186, 264)(175, 253, 180, 258)(176, 254, 184, 262)(178, 256, 182, 260)(187, 265, 197, 275)(188, 266, 201, 279)(189, 267, 195, 273)(190, 268, 200, 278)(191, 269, 203, 281)(192, 270, 198, 276)(193, 271, 196, 274)(194, 272, 206, 284)(199, 277, 209, 287)(202, 280, 212, 290)(204, 282, 213, 291)(205, 283, 216, 294)(207, 285, 210, 288)(208, 286, 219, 297)(211, 289, 222, 300)(214, 292, 225, 303)(215, 293, 224, 302)(217, 295, 226, 304)(218, 296, 221, 299)(220, 298, 223, 301)(227, 305, 232, 310)(228, 306, 234, 312)(229, 307, 230, 308)(231, 309, 233, 311)
	L = (1, 159)(2, 161)(3, 164)(4, 157)(5, 168)(6, 158)(7, 171)(8, 174)(9, 175)(10, 160)(11, 179)(12, 182)(13, 183)(14, 162)(15, 187)(16, 163)(17, 189)(18, 191)(19, 192)(20, 165)(21, 193)(22, 166)(23, 195)(24, 167)(25, 197)(26, 199)(27, 200)(28, 169)(29, 201)(30, 170)(31, 177)(32, 172)(33, 176)(34, 173)(35, 205)(36, 206)(37, 207)(38, 178)(39, 185)(40, 180)(41, 184)(42, 181)(43, 211)(44, 212)(45, 213)(46, 186)(47, 188)(48, 190)(49, 217)(50, 218)(51, 219)(52, 194)(53, 196)(54, 198)(55, 223)(56, 224)(57, 225)(58, 202)(59, 203)(60, 204)(61, 229)(62, 230)(63, 231)(64, 208)(65, 209)(66, 210)(67, 228)(68, 234)(69, 232)(70, 214)(71, 215)(72, 216)(73, 222)(74, 227)(75, 226)(76, 220)(77, 221)(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) :: { ( 12, 78 ), ( 12, 78, 12, 78 ) }
Outer automorphisms :: reflexible
Dual of E13.1334
Graph:: simple bipartite
	v = 117 e = 156 f = 15
	degree seq :: [ 2^78, 4^39 ]

E13.1336 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 39})
Quotient :: dipole
Aut^+ = C3 x D26 (small group id <78, 4>)
Aut   = S3 x D26 (small group id <156, 11>)
|r| :: 2
Presentation :: [ Y2, R^2, Y3^2, R * Y2 * R * Y2^-1, (R * Y1)^2, (R * Y3)^2, (Y3 * Y2^-1)^2, (Y3 * Y1^-3)^2, Y3 * Y1 * Y3 * Y1 * Y3 * Y1^-1 * Y3 * Y1^-1, Y1^8 * Y3 * Y1^-5 * Y3 ]
Map::
	R = (1, 79, 2, 80, 5, 83, 11, 89, 23, 101, 39, 117, 53, 131, 65, 143, 72, 150, 61, 139, 48, 126, 32, 110, 45, 123, 34, 112, 17, 95, 29, 107, 43, 121, 56, 134, 68, 146, 77, 155, 78, 156, 73, 151, 60, 138, 49, 127, 33, 111, 16, 94, 28, 106, 42, 120, 35, 113, 46, 124, 58, 136, 70, 148, 76, 154, 64, 142, 52, 130, 38, 116, 22, 100, 10, 88, 4, 82)(3, 81, 7, 85, 15, 93, 31, 109, 47, 125, 59, 137, 71, 149, 67, 145, 54, 132, 44, 122, 26, 104, 12, 90, 25, 103, 20, 98, 9, 87, 19, 97, 36, 114, 50, 128, 62, 140, 74, 152, 69, 147, 55, 133, 40, 118, 30, 108, 14, 92, 6, 84, 13, 91, 27, 105, 21, 99, 37, 115, 51, 129, 63, 141, 75, 153, 66, 144, 57, 135, 41, 119, 24, 102, 18, 96, 8, 86)(157, 235)(158, 236)(159, 237)(160, 238)(161, 239)(162, 240)(163, 241)(164, 242)(165, 243)(166, 244)(167, 245)(168, 246)(169, 247)(170, 248)(171, 249)(172, 250)(173, 251)(174, 252)(175, 253)(176, 254)(177, 255)(178, 256)(179, 257)(180, 258)(181, 259)(182, 260)(183, 261)(184, 262)(185, 263)(186, 264)(187, 265)(188, 266)(189, 267)(190, 268)(191, 269)(192, 270)(193, 271)(194, 272)(195, 273)(196, 274)(197, 275)(198, 276)(199, 277)(200, 278)(201, 279)(202, 280)(203, 281)(204, 282)(205, 283)(206, 284)(207, 285)(208, 286)(209, 287)(210, 288)(211, 289)(212, 290)(213, 291)(214, 292)(215, 293)(216, 294)(217, 295)(218, 296)(219, 297)(220, 298)(221, 299)(222, 300)(223, 301)(224, 302)(225, 303)(226, 304)(227, 305)(228, 306)(229, 307)(230, 308)(231, 309)(232, 310)(233, 311)(234, 312)
	L = (1, 159)(2, 162)(3, 157)(4, 165)(5, 168)(6, 158)(7, 172)(8, 173)(9, 160)(10, 177)(11, 180)(12, 161)(13, 184)(14, 185)(15, 188)(16, 163)(17, 164)(18, 191)(19, 189)(20, 190)(21, 166)(22, 187)(23, 196)(24, 167)(25, 198)(26, 199)(27, 201)(28, 169)(29, 170)(30, 202)(31, 178)(32, 171)(33, 175)(34, 176)(35, 174)(36, 204)(37, 205)(38, 206)(39, 210)(40, 179)(41, 212)(42, 181)(43, 182)(44, 214)(45, 183)(46, 186)(47, 216)(48, 192)(49, 193)(50, 194)(51, 217)(52, 219)(53, 222)(54, 195)(55, 224)(56, 197)(57, 226)(58, 200)(59, 228)(60, 203)(61, 207)(62, 229)(63, 208)(64, 227)(65, 230)(66, 209)(67, 233)(68, 211)(69, 232)(70, 213)(71, 220)(72, 215)(73, 218)(74, 221)(75, 234)(76, 225)(77, 223)(78, 231)(79, 235)(80, 236)(81, 237)(82, 238)(83, 239)(84, 240)(85, 241)(86, 242)(87, 243)(88, 244)(89, 245)(90, 246)(91, 247)(92, 248)(93, 249)(94, 250)(95, 251)(96, 252)(97, 253)(98, 254)(99, 255)(100, 256)(101, 257)(102, 258)(103, 259)(104, 260)(105, 261)(106, 262)(107, 263)(108, 264)(109, 265)(110, 266)(111, 267)(112, 268)(113, 269)(114, 270)(115, 271)(116, 272)(117, 273)(118, 274)(119, 275)(120, 276)(121, 277)(122, 278)(123, 279)(124, 280)(125, 281)(126, 282)(127, 283)(128, 284)(129, 285)(130, 286)(131, 287)(132, 288)(133, 289)(134, 290)(135, 291)(136, 292)(137, 293)(138, 294)(139, 295)(140, 296)(141, 297)(142, 298)(143, 299)(144, 300)(145, 301)(146, 302)(147, 303)(148, 304)(149, 305)(150, 306)(151, 307)(152, 308)(153, 309)(154, 310)(155, 311)(156, 312)
	local type(s) :: { ( 4, 12 ), ( 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 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 E13.1333
Graph:: simple bipartite
	v = 80 e = 156 f = 52
	degree seq :: [ 2^78, 78^2 ]

E13.1337 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 39})
Quotient :: dipole
Aut^+ = C3 x D26 (small group id <78, 4>)
Aut   = S3 x D26 (small group id <156, 11>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, (Y2^-3 * Y1)^2, Y2 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2 * Y1, (Y3 * Y2^-1)^6, Y2^-3 * Y1 * Y2^8 * Y1 * Y2^-2 ]
Map::
	R = (1, 79, 2, 80)(3, 81, 7, 85)(4, 82, 9, 87)(5, 83, 11, 89)(6, 84, 13, 91)(8, 86, 17, 95)(10, 88, 21, 99)(12, 90, 25, 103)(14, 92, 29, 107)(15, 93, 23, 101)(16, 94, 27, 105)(18, 96, 30, 108)(19, 97, 24, 102)(20, 98, 28, 106)(22, 100, 26, 104)(31, 109, 41, 119)(32, 110, 45, 123)(33, 111, 39, 117)(34, 112, 44, 122)(35, 113, 47, 125)(36, 114, 42, 120)(37, 115, 40, 118)(38, 116, 50, 128)(43, 121, 53, 131)(46, 124, 56, 134)(48, 126, 57, 135)(49, 127, 60, 138)(51, 129, 54, 132)(52, 130, 63, 141)(55, 133, 66, 144)(58, 136, 69, 147)(59, 137, 68, 146)(61, 139, 70, 148)(62, 140, 65, 143)(64, 142, 67, 145)(71, 149, 76, 154)(72, 150, 78, 156)(73, 151, 74, 152)(75, 153, 77, 155)(157, 235, 159, 237, 164, 242, 174, 252, 191, 269, 205, 283, 217, 295, 229, 307, 222, 300, 210, 288, 198, 276, 181, 259, 197, 275, 184, 262, 169, 247, 183, 261, 200, 278, 212, 290, 224, 302, 234, 312, 233, 311, 221, 299, 209, 287, 196, 274, 180, 258, 167, 245, 179, 257, 195, 273, 185, 263, 201, 279, 213, 291, 225, 303, 232, 310, 220, 298, 208, 286, 194, 272, 178, 256, 166, 244, 160, 238)(158, 236, 161, 239, 168, 246, 182, 260, 199, 277, 211, 289, 223, 301, 228, 306, 216, 294, 204, 282, 190, 268, 173, 251, 189, 267, 176, 254, 165, 243, 175, 253, 192, 270, 206, 284, 218, 296, 230, 308, 227, 305, 215, 293, 203, 281, 188, 266, 172, 250, 163, 241, 171, 249, 187, 265, 177, 255, 193, 271, 207, 285, 219, 297, 231, 309, 226, 304, 214, 292, 202, 280, 186, 264, 170, 248, 162, 240)
	L = (1, 158)(2, 157)(3, 163)(4, 165)(5, 167)(6, 169)(7, 159)(8, 173)(9, 160)(10, 177)(11, 161)(12, 181)(13, 162)(14, 185)(15, 179)(16, 183)(17, 164)(18, 186)(19, 180)(20, 184)(21, 166)(22, 182)(23, 171)(24, 175)(25, 168)(26, 178)(27, 172)(28, 176)(29, 170)(30, 174)(31, 197)(32, 201)(33, 195)(34, 200)(35, 203)(36, 198)(37, 196)(38, 206)(39, 189)(40, 193)(41, 187)(42, 192)(43, 209)(44, 190)(45, 188)(46, 212)(47, 191)(48, 213)(49, 216)(50, 194)(51, 210)(52, 219)(53, 199)(54, 207)(55, 222)(56, 202)(57, 204)(58, 225)(59, 224)(60, 205)(61, 226)(62, 221)(63, 208)(64, 223)(65, 218)(66, 211)(67, 220)(68, 215)(69, 214)(70, 217)(71, 232)(72, 234)(73, 230)(74, 229)(75, 233)(76, 227)(77, 231)(78, 228)(79, 235)(80, 236)(81, 237)(82, 238)(83, 239)(84, 240)(85, 241)(86, 242)(87, 243)(88, 244)(89, 245)(90, 246)(91, 247)(92, 248)(93, 249)(94, 250)(95, 251)(96, 252)(97, 253)(98, 254)(99, 255)(100, 256)(101, 257)(102, 258)(103, 259)(104, 260)(105, 261)(106, 262)(107, 263)(108, 264)(109, 265)(110, 266)(111, 267)(112, 268)(113, 269)(114, 270)(115, 271)(116, 272)(117, 273)(118, 274)(119, 275)(120, 276)(121, 277)(122, 278)(123, 279)(124, 280)(125, 281)(126, 282)(127, 283)(128, 284)(129, 285)(130, 286)(131, 287)(132, 288)(133, 289)(134, 290)(135, 291)(136, 292)(137, 293)(138, 294)(139, 295)(140, 296)(141, 297)(142, 298)(143, 299)(144, 300)(145, 301)(146, 302)(147, 303)(148, 304)(149, 305)(150, 306)(151, 307)(152, 308)(153, 309)(154, 310)(155, 311)(156, 312)
	local type(s) :: { ( 2, 12, 2, 12 ), ( 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 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 E13.1338
Graph:: bipartite
	v = 41 e = 156 f = 91
	degree seq :: [ 4^39, 78^2 ]

E13.1338 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 39})
Quotient :: dipole
Aut^+ = C3 x D26 (small group id <78, 4>)
Aut   = S3 x D26 (small group id <156, 11>)
|r| :: 2
Presentation :: [ Y2, R^2, (Y3^-1 * Y1^-1)^2, (R * Y3)^2, (R * Y1)^2, Y1^-1 * Y3^-1 * Y1 * Y3^-1 * Y1^-2, (Y3^-1 * Y1 * Y3^-1)^2, (R * Y2 * Y3^-1)^2, Y3^-1 * Y1 * Y3^-1 * Y1^3, Y1^-1 * Y3 * Y1^-1 * Y3^-12, (Y3 * Y2^-1)^39 ]
Map::
	R = (1, 79, 2, 80, 6, 84, 16, 94, 13, 91, 4, 82)(3, 81, 9, 87, 17, 95, 8, 86, 21, 99, 11, 89)(5, 83, 14, 92, 18, 96, 12, 90, 20, 98, 7, 85)(10, 88, 24, 102, 29, 107, 23, 101, 33, 111, 22, 100)(15, 93, 26, 104, 30, 108, 19, 97, 31, 109, 27, 105)(25, 103, 34, 112, 41, 119, 36, 114, 45, 123, 35, 113)(28, 106, 32, 110, 42, 120, 39, 117, 43, 121, 38, 116)(37, 115, 47, 125, 53, 131, 46, 124, 57, 135, 48, 126)(40, 118, 51, 129, 54, 132, 50, 128, 55, 133, 44, 122)(49, 127, 60, 138, 65, 143, 59, 137, 69, 147, 58, 136)(52, 130, 62, 140, 66, 144, 56, 134, 67, 145, 63, 141)(61, 139, 70, 148, 77, 155, 72, 150, 76, 154, 71, 149)(64, 142, 68, 146, 73, 151, 75, 153, 78, 156, 74, 152)(157, 235)(158, 236)(159, 237)(160, 238)(161, 239)(162, 240)(163, 241)(164, 242)(165, 243)(166, 244)(167, 245)(168, 246)(169, 247)(170, 248)(171, 249)(172, 250)(173, 251)(174, 252)(175, 253)(176, 254)(177, 255)(178, 256)(179, 257)(180, 258)(181, 259)(182, 260)(183, 261)(184, 262)(185, 263)(186, 264)(187, 265)(188, 266)(189, 267)(190, 268)(191, 269)(192, 270)(193, 271)(194, 272)(195, 273)(196, 274)(197, 275)(198, 276)(199, 277)(200, 278)(201, 279)(202, 280)(203, 281)(204, 282)(205, 283)(206, 284)(207, 285)(208, 286)(209, 287)(210, 288)(211, 289)(212, 290)(213, 291)(214, 292)(215, 293)(216, 294)(217, 295)(218, 296)(219, 297)(220, 298)(221, 299)(222, 300)(223, 301)(224, 302)(225, 303)(226, 304)(227, 305)(228, 306)(229, 307)(230, 308)(231, 309)(232, 310)(233, 311)(234, 312)
	L = (1, 159)(2, 163)(3, 166)(4, 168)(5, 157)(6, 173)(7, 175)(8, 158)(9, 160)(10, 181)(11, 172)(12, 182)(13, 177)(14, 183)(15, 161)(16, 170)(17, 185)(18, 162)(19, 188)(20, 169)(21, 189)(22, 164)(23, 165)(24, 167)(25, 193)(26, 194)(27, 195)(28, 171)(29, 197)(30, 174)(31, 176)(32, 200)(33, 201)(34, 178)(35, 179)(36, 180)(37, 205)(38, 206)(39, 207)(40, 184)(41, 209)(42, 186)(43, 187)(44, 212)(45, 213)(46, 190)(47, 191)(48, 192)(49, 217)(50, 218)(51, 219)(52, 196)(53, 221)(54, 198)(55, 199)(56, 224)(57, 225)(58, 202)(59, 203)(60, 204)(61, 229)(62, 230)(63, 231)(64, 208)(65, 233)(66, 210)(67, 211)(68, 228)(69, 232)(70, 214)(71, 215)(72, 216)(73, 222)(74, 226)(75, 227)(76, 220)(77, 234)(78, 223)(79, 235)(80, 236)(81, 237)(82, 238)(83, 239)(84, 240)(85, 241)(86, 242)(87, 243)(88, 244)(89, 245)(90, 246)(91, 247)(92, 248)(93, 249)(94, 250)(95, 251)(96, 252)(97, 253)(98, 254)(99, 255)(100, 256)(101, 257)(102, 258)(103, 259)(104, 260)(105, 261)(106, 262)(107, 263)(108, 264)(109, 265)(110, 266)(111, 267)(112, 268)(113, 269)(114, 270)(115, 271)(116, 272)(117, 273)(118, 274)(119, 275)(120, 276)(121, 277)(122, 278)(123, 279)(124, 280)(125, 281)(126, 282)(127, 283)(128, 284)(129, 285)(130, 286)(131, 287)(132, 288)(133, 289)(134, 290)(135, 291)(136, 292)(137, 293)(138, 294)(139, 295)(140, 296)(141, 297)(142, 298)(143, 299)(144, 300)(145, 301)(146, 302)(147, 303)(148, 304)(149, 305)(150, 306)(151, 307)(152, 308)(153, 309)(154, 310)(155, 311)(156, 312)
	local type(s) :: { ( 4, 78 ), ( 4, 78, 4, 78, 4, 78, 4, 78, 4, 78, 4, 78 ) }
Outer automorphisms :: reflexible
Dual of E13.1337
Graph:: simple bipartite
	v = 91 e = 156 f = 41
	degree seq :: [ 2^78, 12^13 ]

E13.1339 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 6, 15})
Quotient :: regular
Aut^+ = C3 x D30 (small group id <90, 7>)
Aut   = S3 x D30 (small group id <180, 29>)
|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, T1^15 ]
Map:: polytopal non-degenerate
	R = (1, 2, 5, 11, 23, 39, 53, 65, 76, 64, 52, 38, 22, 10, 4)(3, 7, 15, 31, 47, 59, 71, 82, 78, 66, 57, 41, 24, 18, 8)(6, 13, 27, 21, 37, 51, 63, 75, 86, 77, 69, 55, 40, 30, 14)(9, 19, 36, 50, 62, 74, 85, 80, 67, 54, 44, 26, 12, 25, 20)(16, 28, 42, 35, 46, 58, 70, 81, 88, 89, 84, 73, 60, 49, 33)(17, 29, 43, 56, 68, 79, 87, 90, 83, 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, 77)(67, 79)(69, 81)(74, 83)(75, 84)(76, 85)(78, 87)(80, 88)(82, 89)(86, 90)
	local type(s) :: { ( 6^15 ) }
Outer automorphisms :: reflexible
Dual of E13.1340
Transitivity :: ET+ VT+ AT+ REG+
Graph:: bipartite
	v = 6 e = 45 f = 15
	degree seq :: [ 15^6 ]

E13.1340 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 6, 15})
Quotient :: regular
Aut^+ = C3 x D30 (small group id <90, 7>)
Aut   = S3 x D30 (small group id <180, 29>)
|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)^15 ]
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, 52, 48, 54, 47, 53)(55, 61, 57, 63, 56, 62)(58, 64, 60, 66, 59, 65)(67, 73, 69, 75, 68, 74)(70, 76, 72, 78, 71, 77)(79, 85, 81, 87, 80, 86)(82, 88, 84, 90, 83, 89)
	L = (1, 3)(2, 6)(4, 9)(5, 12)(7, 15)(8, 16)(10, 17)(11, 19)(13, 21)(14, 22)(18, 26)(20, 27)(23, 31)(24, 32)(25, 33)(28, 34)(29, 35)(30, 36)(37, 43)(38, 44)(39, 45)(40, 46)(41, 47)(42, 48)(49, 55)(50, 56)(51, 57)(52, 58)(53, 59)(54, 60)(61, 67)(62, 68)(63, 69)(64, 70)(65, 71)(66, 72)(73, 79)(74, 80)(75, 81)(76, 82)(77, 83)(78, 84)(85, 90)(86, 88)(87, 89)
	local type(s) :: { ( 15^6 ) }
Outer automorphisms :: reflexible
Dual of E13.1339
Transitivity :: ET+ VT+ AT+ REG+
Graph::
	v = 15 e = 45 f = 6
	degree seq :: [ 6^15 ]

E13.1341 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 6, 15})
Quotient :: edge
Aut^+ = C3 x D30 (small group id <90, 7>)
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 * T2^2 * T1 * T2^-1, T2^6, (T2^-1 * T1)^15 ]
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, 55, 51, 57, 50, 56)(52, 58, 54, 60, 53, 59)(61, 67, 63, 69, 62, 68)(64, 70, 66, 72, 65, 71)(73, 79, 75, 81, 74, 80)(76, 82, 78, 84, 77, 83)(85, 89, 87, 88, 86, 90)(91, 92)(93, 97)(94, 99)(95, 101)(96, 103)(98, 102)(100, 104)(105, 113)(106, 115)(107, 114)(108, 116)(109, 117)(110, 119)(111, 118)(112, 120)(121, 127)(122, 128)(123, 129)(124, 130)(125, 131)(126, 132)(133, 139)(134, 140)(135, 141)(136, 142)(137, 143)(138, 144)(145, 151)(146, 152)(147, 153)(148, 154)(149, 155)(150, 156)(157, 163)(158, 164)(159, 165)(160, 166)(161, 167)(162, 168)(169, 175)(170, 176)(171, 177)(172, 178)(173, 179)(174, 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) :: { ( 30, 30 ), ( 30^6 ) }
Outer automorphisms :: reflexible
Dual of E13.1345
Transitivity :: ET+
Graph:: simple bipartite
	v = 60 e = 90 f = 6
	degree seq :: [ 2^45, 6^15 ]

E13.1342 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 6, 15})
Quotient :: edge
Aut^+ = C3 x D30 (small group id <90, 7>)
Aut   = S3 x D30 (small group id <180, 29>)
|r| :: 2
Presentation :: [ F^2, (T2^-1 * T1^-1)^2, (F * T1)^2, (F * T2)^2, T2^-1 * T1^-3 * T2^-1 * T1, T2 * T1^-1 * T2 * T1^-3, T2^15 ]
Map:: polytopal non-degenerate
	R = (1, 3, 10, 25, 37, 49, 61, 73, 76, 64, 52, 40, 28, 15, 5)(2, 7, 19, 32, 44, 56, 68, 80, 82, 70, 58, 46, 34, 22, 8)(4, 12, 26, 38, 50, 62, 74, 85, 83, 71, 59, 47, 35, 23, 9)(6, 17, 29, 41, 53, 65, 77, 87, 88, 78, 66, 54, 42, 30, 18)(11, 16, 14, 27, 39, 51, 63, 75, 86, 84, 72, 60, 48, 36, 24)(13, 21, 33, 45, 57, 69, 81, 90, 89, 79, 67, 55, 43, 31, 20)(91, 92, 96, 106, 103, 94)(93, 99, 107, 98, 111, 101)(95, 104, 108, 102, 110, 97)(100, 114, 119, 113, 123, 112)(105, 116, 120, 109, 121, 117)(115, 124, 131, 126, 135, 125)(118, 122, 132, 129, 133, 128)(127, 137, 143, 136, 147, 138)(130, 141, 144, 140, 145, 134)(139, 150, 155, 149, 159, 148)(142, 152, 156, 146, 157, 153)(151, 160, 167, 162, 171, 161)(154, 158, 168, 165, 169, 164)(163, 173, 177, 172, 180, 174)(166, 176, 178, 175, 179, 170)
	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) :: { ( 4^6 ), ( 4^15 ) }
Outer automorphisms :: reflexible
Dual of E13.1346
Transitivity :: ET+
Graph:: simple bipartite
	v = 21 e = 90 f = 45
	degree seq :: [ 6^15, 15^6 ]

E13.1343 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 6, 15})
Quotient :: edge
Aut^+ = C3 x D30 (small group id <90, 7>)
Aut   = S3 x D30 (small group id <180, 29>)
|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, T1^15 ]
Map:: polytopal
	R = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 17)(10, 21)(11, 24)(13, 28)(14, 29)(15, 32)(18, 35)(19, 33)(20, 34)(22, 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, 77)(67, 79)(69, 81)(74, 83)(75, 84)(76, 85)(78, 87)(80, 88)(82, 89)(86, 90)(91, 92, 95, 101, 113, 129, 143, 155, 166, 154, 142, 128, 112, 100, 94)(93, 97, 105, 121, 137, 149, 161, 172, 168, 156, 147, 131, 114, 108, 98)(96, 103, 117, 111, 127, 141, 153, 165, 176, 167, 159, 145, 130, 120, 104)(99, 109, 126, 140, 152, 164, 175, 170, 157, 144, 134, 116, 102, 115, 110)(106, 118, 132, 125, 136, 148, 160, 171, 178, 179, 174, 163, 150, 139, 123)(107, 119, 133, 146, 158, 169, 177, 180, 173, 162, 151, 138, 122, 135, 124)
	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) :: { ( 12, 12 ), ( 12^15 ) }
Outer automorphisms :: reflexible
Dual of E13.1344
Transitivity :: ET+
Graph:: simple bipartite
	v = 51 e = 90 f = 15
	degree seq :: [ 2^45, 15^6 ]

E13.1344 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 6, 15})
Quotient :: loop
Aut^+ = C3 x D30 (small group id <90, 7>)
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 * T2^2 * T1 * T2^-1, T2^6, (T2^-1 * T1)^15 ]
Map::
	R = (1, 91, 3, 93, 8, 98, 17, 107, 10, 100, 4, 94)(2, 92, 5, 95, 12, 102, 21, 111, 14, 104, 6, 96)(7, 97, 15, 105, 24, 114, 18, 108, 9, 99, 16, 106)(11, 101, 19, 109, 28, 118, 22, 112, 13, 103, 20, 110)(23, 113, 31, 121, 26, 116, 33, 123, 25, 115, 32, 122)(27, 117, 34, 124, 30, 120, 36, 126, 29, 119, 35, 125)(37, 127, 43, 133, 39, 129, 45, 135, 38, 128, 44, 134)(40, 130, 46, 136, 42, 132, 48, 138, 41, 131, 47, 137)(49, 139, 55, 145, 51, 141, 57, 147, 50, 140, 56, 146)(52, 142, 58, 148, 54, 144, 60, 150, 53, 143, 59, 149)(61, 151, 67, 157, 63, 153, 69, 159, 62, 152, 68, 158)(64, 154, 70, 160, 66, 156, 72, 162, 65, 155, 71, 161)(73, 163, 79, 169, 75, 165, 81, 171, 74, 164, 80, 170)(76, 166, 82, 172, 78, 168, 84, 174, 77, 167, 83, 173)(85, 175, 89, 179, 87, 177, 88, 178, 86, 176, 90, 180)
	L = (1, 92)(2, 91)(3, 97)(4, 99)(5, 101)(6, 103)(7, 93)(8, 102)(9, 94)(10, 104)(11, 95)(12, 98)(13, 96)(14, 100)(15, 113)(16, 115)(17, 114)(18, 116)(19, 117)(20, 119)(21, 118)(22, 120)(23, 105)(24, 107)(25, 106)(26, 108)(27, 109)(28, 111)(29, 110)(30, 112)(31, 127)(32, 128)(33, 129)(34, 130)(35, 131)(36, 132)(37, 121)(38, 122)(39, 123)(40, 124)(41, 125)(42, 126)(43, 139)(44, 140)(45, 141)(46, 142)(47, 143)(48, 144)(49, 133)(50, 134)(51, 135)(52, 136)(53, 137)(54, 138)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 145)(62, 146)(63, 147)(64, 148)(65, 149)(66, 150)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 157)(74, 158)(75, 159)(76, 160)(77, 161)(78, 162)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 169)(86, 170)(87, 171)(88, 172)(89, 173)(90, 174)
	local type(s) :: { ( 2, 15, 2, 15, 2, 15, 2, 15, 2, 15, 2, 15 ) }
Outer automorphisms :: reflexible
Dual of E13.1343
Transitivity :: ET+ VT+ AT
Graph::
	v = 15 e = 90 f = 51
	degree seq :: [ 12^15 ]

E13.1345 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 6, 15})
Quotient :: loop
Aut^+ = C3 x D30 (small group id <90, 7>)
Aut   = S3 x D30 (small group id <180, 29>)
|r| :: 2
Presentation :: [ F^2, (T2^-1 * T1^-1)^2, (F * T1)^2, (F * T2)^2, T2^-1 * T1^-3 * T2^-1 * T1, T2 * T1^-1 * T2 * T1^-3, T2^15 ]
Map::
	R = (1, 91, 3, 93, 10, 100, 25, 115, 37, 127, 49, 139, 61, 151, 73, 163, 76, 166, 64, 154, 52, 142, 40, 130, 28, 118, 15, 105, 5, 95)(2, 92, 7, 97, 19, 109, 32, 122, 44, 134, 56, 146, 68, 158, 80, 170, 82, 172, 70, 160, 58, 148, 46, 136, 34, 124, 22, 112, 8, 98)(4, 94, 12, 102, 26, 116, 38, 128, 50, 140, 62, 152, 74, 164, 85, 175, 83, 173, 71, 161, 59, 149, 47, 137, 35, 125, 23, 113, 9, 99)(6, 96, 17, 107, 29, 119, 41, 131, 53, 143, 65, 155, 77, 167, 87, 177, 88, 178, 78, 168, 66, 156, 54, 144, 42, 132, 30, 120, 18, 108)(11, 101, 16, 106, 14, 104, 27, 117, 39, 129, 51, 141, 63, 153, 75, 165, 86, 176, 84, 174, 72, 162, 60, 150, 48, 138, 36, 126, 24, 114)(13, 103, 21, 111, 33, 123, 45, 135, 57, 147, 69, 159, 81, 171, 90, 180, 89, 179, 79, 169, 67, 157, 55, 145, 43, 133, 31, 121, 20, 110)
	L = (1, 92)(2, 96)(3, 99)(4, 91)(5, 104)(6, 106)(7, 95)(8, 111)(9, 107)(10, 114)(11, 93)(12, 110)(13, 94)(14, 108)(15, 116)(16, 103)(17, 98)(18, 102)(19, 121)(20, 97)(21, 101)(22, 100)(23, 123)(24, 119)(25, 124)(26, 120)(27, 105)(28, 122)(29, 113)(30, 109)(31, 117)(32, 132)(33, 112)(34, 131)(35, 115)(36, 135)(37, 137)(38, 118)(39, 133)(40, 141)(41, 126)(42, 129)(43, 128)(44, 130)(45, 125)(46, 147)(47, 143)(48, 127)(49, 150)(50, 145)(51, 144)(52, 152)(53, 136)(54, 140)(55, 134)(56, 157)(57, 138)(58, 139)(59, 159)(60, 155)(61, 160)(62, 156)(63, 142)(64, 158)(65, 149)(66, 146)(67, 153)(68, 168)(69, 148)(70, 167)(71, 151)(72, 171)(73, 173)(74, 154)(75, 169)(76, 176)(77, 162)(78, 165)(79, 164)(80, 166)(81, 161)(82, 180)(83, 177)(84, 163)(85, 179)(86, 178)(87, 172)(88, 175)(89, 170)(90, 174)
	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 E13.1341
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 6 e = 90 f = 60
	degree seq :: [ 30^6 ]

E13.1346 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 6, 15})
Quotient :: loop
Aut^+ = C3 x D30 (small group id <90, 7>)
Aut   = S3 x D30 (small group id <180, 29>)
|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, T1^15 ]
Map:: polytopal non-degenerate
	R = (1, 91, 3, 93)(2, 92, 6, 96)(4, 94, 9, 99)(5, 95, 12, 102)(7, 97, 16, 106)(8, 98, 17, 107)(10, 100, 21, 111)(11, 101, 24, 114)(13, 103, 28, 118)(14, 104, 29, 119)(15, 105, 32, 122)(18, 108, 35, 125)(19, 109, 33, 123)(20, 110, 34, 124)(22, 112, 31, 121)(23, 113, 40, 130)(25, 115, 42, 132)(26, 116, 43, 133)(27, 117, 45, 135)(30, 120, 46, 136)(36, 126, 48, 138)(37, 127, 49, 139)(38, 128, 50, 140)(39, 129, 54, 144)(41, 131, 56, 146)(44, 134, 58, 148)(47, 137, 60, 150)(51, 141, 61, 151)(52, 142, 63, 153)(53, 143, 66, 156)(55, 145, 68, 158)(57, 147, 70, 160)(59, 149, 72, 162)(62, 152, 73, 163)(64, 154, 71, 161)(65, 155, 77, 167)(67, 157, 79, 169)(69, 159, 81, 171)(74, 164, 83, 173)(75, 165, 84, 174)(76, 166, 85, 175)(78, 168, 87, 177)(80, 170, 88, 178)(82, 172, 89, 179)(86, 176, 90, 180)
	L = (1, 92)(2, 95)(3, 97)(4, 91)(5, 101)(6, 103)(7, 105)(8, 93)(9, 109)(10, 94)(11, 113)(12, 115)(13, 117)(14, 96)(15, 121)(16, 118)(17, 119)(18, 98)(19, 126)(20, 99)(21, 127)(22, 100)(23, 129)(24, 108)(25, 110)(26, 102)(27, 111)(28, 132)(29, 133)(30, 104)(31, 137)(32, 135)(33, 106)(34, 107)(35, 136)(36, 140)(37, 141)(38, 112)(39, 143)(40, 120)(41, 114)(42, 125)(43, 146)(44, 116)(45, 124)(46, 148)(47, 149)(48, 122)(49, 123)(50, 152)(51, 153)(52, 128)(53, 155)(54, 134)(55, 130)(56, 158)(57, 131)(58, 160)(59, 161)(60, 139)(61, 138)(62, 164)(63, 165)(64, 142)(65, 166)(66, 147)(67, 144)(68, 169)(69, 145)(70, 171)(71, 172)(72, 151)(73, 150)(74, 175)(75, 176)(76, 154)(77, 159)(78, 156)(79, 177)(80, 157)(81, 178)(82, 168)(83, 162)(84, 163)(85, 170)(86, 167)(87, 180)(88, 179)(89, 174)(90, 173)
	local type(s) :: { ( 6, 15, 6, 15 ) }
Outer automorphisms :: reflexible
Dual of E13.1342
Transitivity :: ET+ VT+ AT
Graph:: simple
	v = 45 e = 90 f = 21
	degree seq :: [ 4^45 ]

E13.1347 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 15})
Quotient :: dipole
Aut^+ = C3 x D30 (small group id <90, 7>)
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, Y2^6, (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, 23, 113)(16, 106, 25, 115)(17, 107, 24, 114)(18, 108, 26, 116)(19, 109, 27, 117)(20, 110, 29, 119)(21, 111, 28, 118)(22, 112, 30, 120)(31, 121, 37, 127)(32, 122, 38, 128)(33, 123, 39, 129)(34, 124, 40, 130)(35, 125, 41, 131)(36, 126, 42, 132)(43, 133, 49, 139)(44, 134, 50, 140)(45, 135, 51, 141)(46, 136, 52, 142)(47, 137, 53, 143)(48, 138, 54, 144)(55, 145, 61, 151)(56, 146, 62, 152)(57, 147, 63, 153)(58, 148, 64, 154)(59, 149, 65, 155)(60, 150, 66, 156)(67, 157, 73, 163)(68, 158, 74, 164)(69, 159, 75, 165)(70, 160, 76, 166)(71, 161, 77, 167)(72, 162, 78, 168)(79, 169, 85, 175)(80, 170, 86, 176)(81, 171, 87, 177)(82, 172, 88, 178)(83, 173, 89, 179)(84, 174, 90, 180)(181, 271, 183, 273, 188, 278, 197, 287, 190, 280, 184, 274)(182, 272, 185, 275, 192, 282, 201, 291, 194, 284, 186, 276)(187, 277, 195, 285, 204, 294, 198, 288, 189, 279, 196, 286)(191, 281, 199, 289, 208, 298, 202, 292, 193, 283, 200, 290)(203, 293, 211, 301, 206, 296, 213, 303, 205, 295, 212, 302)(207, 297, 214, 304, 210, 300, 216, 306, 209, 299, 215, 305)(217, 307, 223, 313, 219, 309, 225, 315, 218, 308, 224, 314)(220, 310, 226, 316, 222, 312, 228, 318, 221, 311, 227, 317)(229, 319, 235, 325, 231, 321, 237, 327, 230, 320, 236, 326)(232, 322, 238, 328, 234, 324, 240, 330, 233, 323, 239, 329)(241, 331, 247, 337, 243, 333, 249, 339, 242, 332, 248, 338)(244, 334, 250, 340, 246, 336, 252, 342, 245, 335, 251, 341)(253, 343, 259, 349, 255, 345, 261, 351, 254, 344, 260, 350)(256, 346, 262, 352, 258, 348, 264, 354, 257, 347, 263, 353)(265, 355, 269, 359, 267, 357, 268, 358, 266, 356, 270, 360)
	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, 203)(16, 205)(17, 204)(18, 206)(19, 207)(20, 209)(21, 208)(22, 210)(23, 195)(24, 197)(25, 196)(26, 198)(27, 199)(28, 201)(29, 200)(30, 202)(31, 217)(32, 218)(33, 219)(34, 220)(35, 221)(36, 222)(37, 211)(38, 212)(39, 213)(40, 214)(41, 215)(42, 216)(43, 229)(44, 230)(45, 231)(46, 232)(47, 233)(48, 234)(49, 223)(50, 224)(51, 225)(52, 226)(53, 227)(54, 228)(55, 241)(56, 242)(57, 243)(58, 244)(59, 245)(60, 246)(61, 235)(62, 236)(63, 237)(64, 238)(65, 239)(66, 240)(67, 253)(68, 254)(69, 255)(70, 256)(71, 257)(72, 258)(73, 247)(74, 248)(75, 249)(76, 250)(77, 251)(78, 252)(79, 265)(80, 266)(81, 267)(82, 268)(83, 269)(84, 270)(85, 259)(86, 260)(87, 261)(88, 262)(89, 263)(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 ) }
Outer automorphisms :: reflexible
Dual of E13.1350
Graph:: bipartite
	v = 60 e = 180 f = 96
	degree seq :: [ 4^45, 12^15 ]

E13.1348 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 15})
Quotient :: dipole
Aut^+ = C3 x D30 (small group id <90, 7>)
Aut   = S3 x D30 (small group id <180, 29>)
|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^-1 * Y1^-3 * Y2^-1 * Y1, Y2 * Y1^-1 * Y2 * Y1^-3, Y2^15 ]
Map::
	R = (1, 91, 2, 92, 6, 96, 16, 106, 13, 103, 4, 94)(3, 93, 9, 99, 17, 107, 8, 98, 21, 111, 11, 101)(5, 95, 14, 104, 18, 108, 12, 102, 20, 110, 7, 97)(10, 100, 24, 114, 29, 119, 23, 113, 33, 123, 22, 112)(15, 105, 26, 116, 30, 120, 19, 109, 31, 121, 27, 117)(25, 115, 34, 124, 41, 131, 36, 126, 45, 135, 35, 125)(28, 118, 32, 122, 42, 132, 39, 129, 43, 133, 38, 128)(37, 127, 47, 137, 53, 143, 46, 136, 57, 147, 48, 138)(40, 130, 51, 141, 54, 144, 50, 140, 55, 145, 44, 134)(49, 139, 60, 150, 65, 155, 59, 149, 69, 159, 58, 148)(52, 142, 62, 152, 66, 156, 56, 146, 67, 157, 63, 153)(61, 151, 70, 160, 77, 167, 72, 162, 81, 171, 71, 161)(64, 154, 68, 158, 78, 168, 75, 165, 79, 169, 74, 164)(73, 163, 83, 173, 87, 177, 82, 172, 90, 180, 84, 174)(76, 166, 86, 176, 88, 178, 85, 175, 89, 179, 80, 170)(181, 271, 183, 273, 190, 280, 205, 295, 217, 307, 229, 319, 241, 331, 253, 343, 256, 346, 244, 334, 232, 322, 220, 310, 208, 298, 195, 285, 185, 275)(182, 272, 187, 277, 199, 289, 212, 302, 224, 314, 236, 326, 248, 338, 260, 350, 262, 352, 250, 340, 238, 328, 226, 316, 214, 304, 202, 292, 188, 278)(184, 274, 192, 282, 206, 296, 218, 308, 230, 320, 242, 332, 254, 344, 265, 355, 263, 353, 251, 341, 239, 329, 227, 317, 215, 305, 203, 293, 189, 279)(186, 276, 197, 287, 209, 299, 221, 311, 233, 323, 245, 335, 257, 347, 267, 357, 268, 358, 258, 348, 246, 336, 234, 324, 222, 312, 210, 300, 198, 288)(191, 281, 196, 286, 194, 284, 207, 297, 219, 309, 231, 321, 243, 333, 255, 345, 266, 356, 264, 354, 252, 342, 240, 330, 228, 318, 216, 306, 204, 294)(193, 283, 201, 291, 213, 303, 225, 315, 237, 327, 249, 339, 261, 351, 270, 360, 269, 359, 259, 349, 247, 337, 235, 325, 223, 313, 211, 301, 200, 290)
	L = (1, 183)(2, 187)(3, 190)(4, 192)(5, 181)(6, 197)(7, 199)(8, 182)(9, 184)(10, 205)(11, 196)(12, 206)(13, 201)(14, 207)(15, 185)(16, 194)(17, 209)(18, 186)(19, 212)(20, 193)(21, 213)(22, 188)(23, 189)(24, 191)(25, 217)(26, 218)(27, 219)(28, 195)(29, 221)(30, 198)(31, 200)(32, 224)(33, 225)(34, 202)(35, 203)(36, 204)(37, 229)(38, 230)(39, 231)(40, 208)(41, 233)(42, 210)(43, 211)(44, 236)(45, 237)(46, 214)(47, 215)(48, 216)(49, 241)(50, 242)(51, 243)(52, 220)(53, 245)(54, 222)(55, 223)(56, 248)(57, 249)(58, 226)(59, 227)(60, 228)(61, 253)(62, 254)(63, 255)(64, 232)(65, 257)(66, 234)(67, 235)(68, 260)(69, 261)(70, 238)(71, 239)(72, 240)(73, 256)(74, 265)(75, 266)(76, 244)(77, 267)(78, 246)(79, 247)(80, 262)(81, 270)(82, 250)(83, 251)(84, 252)(85, 263)(86, 264)(87, 268)(88, 258)(89, 259)(90, 269)(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 ) }
Outer automorphisms :: reflexible
Dual of E13.1349
Graph:: bipartite
	v = 21 e = 180 f = 135
	degree seq :: [ 12^15, 30^6 ]

E13.1349 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 15})
Quotient :: dipole
Aut^+ = C3 x D30 (small group id <90, 7>)
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, (Y3^3 * Y2)^2, Y3^-1 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3^-1 * Y2, (Y3^-1 * Y1^-1)^15 ]
Map:: polytopal
	R = (1, 91)(2, 92)(3, 93)(4, 94)(5, 95)(6, 96)(7, 97)(8, 98)(9, 99)(10, 100)(11, 101)(12, 102)(13, 103)(14, 104)(15, 105)(16, 106)(17, 107)(18, 108)(19, 109)(20, 110)(21, 111)(22, 112)(23, 113)(24, 114)(25, 115)(26, 116)(27, 117)(28, 118)(29, 119)(30, 120)(31, 121)(32, 122)(33, 123)(34, 124)(35, 125)(36, 126)(37, 127)(38, 128)(39, 129)(40, 130)(41, 131)(42, 132)(43, 133)(44, 134)(45, 135)(46, 136)(47, 137)(48, 138)(49, 139)(50, 140)(51, 141)(52, 142)(53, 143)(54, 144)(55, 145)(56, 146)(57, 147)(58, 148)(59, 149)(60, 150)(61, 151)(62, 152)(63, 153)(64, 154)(65, 155)(66, 156)(67, 157)(68, 158)(69, 159)(70, 160)(71, 161)(72, 162)(73, 163)(74, 164)(75, 165)(76, 166)(77, 167)(78, 168)(79, 169)(80, 170)(81, 171)(82, 172)(83, 173)(84, 174)(85, 175)(86, 176)(87, 177)(88, 178)(89, 179)(90, 180)(181, 271, 182, 272)(183, 273, 187, 277)(184, 274, 189, 279)(185, 275, 191, 281)(186, 276, 193, 283)(188, 278, 197, 287)(190, 280, 201, 291)(192, 282, 205, 295)(194, 284, 209, 299)(195, 285, 203, 293)(196, 286, 207, 297)(198, 288, 210, 300)(199, 289, 204, 294)(200, 290, 208, 298)(202, 292, 206, 296)(211, 301, 221, 311)(212, 302, 225, 315)(213, 303, 219, 309)(214, 304, 224, 314)(215, 305, 227, 317)(216, 306, 222, 312)(217, 307, 220, 310)(218, 308, 230, 320)(223, 313, 233, 323)(226, 316, 236, 326)(228, 318, 237, 327)(229, 319, 240, 330)(231, 321, 234, 324)(232, 322, 243, 333)(235, 325, 246, 336)(238, 328, 249, 339)(239, 329, 248, 338)(241, 331, 250, 340)(242, 332, 245, 335)(244, 334, 247, 337)(251, 341, 261, 351)(252, 342, 260, 350)(253, 343, 263, 353)(254, 344, 258, 348)(255, 345, 257, 347)(256, 346, 265, 355)(259, 349, 267, 357)(262, 352, 269, 359)(264, 354, 270, 360)(266, 356, 268, 358)
	L = (1, 183)(2, 185)(3, 188)(4, 181)(5, 192)(6, 182)(7, 195)(8, 198)(9, 199)(10, 184)(11, 203)(12, 206)(13, 207)(14, 186)(15, 211)(16, 187)(17, 213)(18, 215)(19, 216)(20, 189)(21, 217)(22, 190)(23, 219)(24, 191)(25, 221)(26, 223)(27, 224)(28, 193)(29, 225)(30, 194)(31, 201)(32, 196)(33, 200)(34, 197)(35, 229)(36, 230)(37, 231)(38, 202)(39, 209)(40, 204)(41, 208)(42, 205)(43, 235)(44, 236)(45, 237)(46, 210)(47, 212)(48, 214)(49, 241)(50, 242)(51, 243)(52, 218)(53, 220)(54, 222)(55, 247)(56, 248)(57, 249)(58, 226)(59, 227)(60, 228)(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, 256)(74, 265)(75, 266)(76, 244)(77, 245)(78, 246)(79, 262)(80, 269)(81, 270)(82, 250)(83, 251)(84, 252)(85, 264)(86, 263)(87, 257)(88, 258)(89, 268)(90, 267)(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) :: { ( 12, 30 ), ( 12, 30, 12, 30 ) }
Outer automorphisms :: reflexible
Dual of E13.1348
Graph:: simple bipartite
	v = 135 e = 180 f = 21
	degree seq :: [ 2^90, 4^45 ]

E13.1350 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 15})
Quotient :: dipole
Aut^+ = C3 x D30 (small group id <90, 7>)
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^-1 * Y3^-2 * Y1 * Y3, (Y1^-1, Y3^-1, Y1^-1), Y3 * Y1^-3 * Y3^-1 * Y1^-3, (Y3^-1 * Y1^-1)^6, Y1^15 ]
Map:: polytopal
	R = (1, 91, 2, 92, 5, 95, 11, 101, 23, 113, 39, 129, 53, 143, 65, 155, 76, 166, 64, 154, 52, 142, 38, 128, 22, 112, 10, 100, 4, 94)(3, 93, 7, 97, 15, 105, 31, 121, 47, 137, 59, 149, 71, 161, 82, 172, 78, 168, 66, 156, 57, 147, 41, 131, 24, 114, 18, 108, 8, 98)(6, 96, 13, 103, 27, 117, 21, 111, 37, 127, 51, 141, 63, 153, 75, 165, 86, 176, 77, 167, 69, 159, 55, 145, 40, 130, 30, 120, 14, 104)(9, 99, 19, 109, 36, 126, 50, 140, 62, 152, 74, 164, 85, 175, 80, 170, 67, 157, 54, 144, 44, 134, 26, 116, 12, 102, 25, 115, 20, 110)(16, 106, 28, 118, 42, 132, 35, 125, 46, 136, 58, 148, 70, 160, 81, 171, 88, 178, 89, 179, 84, 174, 73, 163, 60, 150, 49, 139, 33, 123)(17, 107, 29, 119, 43, 133, 56, 146, 68, 158, 79, 169, 87, 177, 90, 180, 83, 173, 72, 162, 61, 151, 48, 138, 32, 122, 45, 135, 34, 124)(181, 271)(182, 272)(183, 273)(184, 274)(185, 275)(186, 276)(187, 277)(188, 278)(189, 279)(190, 280)(191, 281)(192, 282)(193, 283)(194, 284)(195, 285)(196, 286)(197, 287)(198, 288)(199, 289)(200, 290)(201, 291)(202, 292)(203, 293)(204, 294)(205, 295)(206, 296)(207, 297)(208, 298)(209, 299)(210, 300)(211, 301)(212, 302)(213, 303)(214, 304)(215, 305)(216, 306)(217, 307)(218, 308)(219, 309)(220, 310)(221, 311)(222, 312)(223, 313)(224, 314)(225, 315)(226, 316)(227, 317)(228, 318)(229, 319)(230, 320)(231, 321)(232, 322)(233, 323)(234, 324)(235, 325)(236, 326)(237, 327)(238, 328)(239, 329)(240, 330)(241, 331)(242, 332)(243, 333)(244, 334)(245, 335)(246, 336)(247, 337)(248, 338)(249, 339)(250, 340)(251, 341)(252, 342)(253, 343)(254, 344)(255, 345)(256, 346)(257, 347)(258, 348)(259, 349)(260, 350)(261, 351)(262, 352)(263, 353)(264, 354)(265, 355)(266, 356)(267, 357)(268, 358)(269, 359)(270, 360)
	L = (1, 183)(2, 186)(3, 181)(4, 189)(5, 192)(6, 182)(7, 196)(8, 197)(9, 184)(10, 201)(11, 204)(12, 185)(13, 208)(14, 209)(15, 212)(16, 187)(17, 188)(18, 215)(19, 213)(20, 214)(21, 190)(22, 211)(23, 220)(24, 191)(25, 222)(26, 223)(27, 225)(28, 193)(29, 194)(30, 226)(31, 202)(32, 195)(33, 199)(34, 200)(35, 198)(36, 228)(37, 229)(38, 230)(39, 234)(40, 203)(41, 236)(42, 205)(43, 206)(44, 238)(45, 207)(46, 210)(47, 240)(48, 216)(49, 217)(50, 218)(51, 241)(52, 243)(53, 246)(54, 219)(55, 248)(56, 221)(57, 250)(58, 224)(59, 252)(60, 227)(61, 231)(62, 253)(63, 232)(64, 251)(65, 257)(66, 233)(67, 259)(68, 235)(69, 261)(70, 237)(71, 244)(72, 239)(73, 242)(74, 263)(75, 264)(76, 265)(77, 245)(78, 267)(79, 247)(80, 268)(81, 249)(82, 269)(83, 254)(84, 255)(85, 256)(86, 270)(87, 258)(88, 260)(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) :: { ( 4, 12 ), ( 4, 12, 4, 12, 4, 12, 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 E13.1347
Graph:: simple bipartite
	v = 96 e = 180 f = 60
	degree seq :: [ 2^90, 30^6 ]

E13.1351 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 15})
Quotient :: dipole
Aut^+ = C3 x D30 (small group id <90, 7>)
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^-3 * Y1)^2, Y2 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2 * Y1, (Y3 * Y2^-1)^6, Y2^15 ]
Map::
	R = (1, 91, 2, 92)(3, 93, 7, 97)(4, 94, 9, 99)(5, 95, 11, 101)(6, 96, 13, 103)(8, 98, 17, 107)(10, 100, 21, 111)(12, 102, 25, 115)(14, 104, 29, 119)(15, 105, 23, 113)(16, 106, 27, 117)(18, 108, 30, 120)(19, 109, 24, 114)(20, 110, 28, 118)(22, 112, 26, 116)(31, 121, 41, 131)(32, 122, 45, 135)(33, 123, 39, 129)(34, 124, 44, 134)(35, 125, 47, 137)(36, 126, 42, 132)(37, 127, 40, 130)(38, 128, 50, 140)(43, 133, 53, 143)(46, 136, 56, 146)(48, 138, 57, 147)(49, 139, 60, 150)(51, 141, 54, 144)(52, 142, 63, 153)(55, 145, 66, 156)(58, 148, 69, 159)(59, 149, 68, 158)(61, 151, 70, 160)(62, 152, 65, 155)(64, 154, 67, 157)(71, 161, 81, 171)(72, 162, 80, 170)(73, 163, 83, 173)(74, 164, 78, 168)(75, 165, 77, 167)(76, 166, 85, 175)(79, 169, 87, 177)(82, 172, 89, 179)(84, 174, 90, 180)(86, 176, 88, 178)(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, 201, 291, 217, 307, 231, 321, 243, 333, 255, 345, 266, 356, 263, 353, 251, 341, 239, 329, 227, 317, 212, 302, 196, 286)(189, 279, 199, 289, 216, 306, 230, 320, 242, 332, 254, 344, 265, 355, 264, 354, 252, 342, 240, 330, 228, 318, 214, 304, 197, 287, 213, 303, 200, 290)(191, 281, 203, 293, 219, 309, 209, 299, 225, 315, 237, 327, 249, 339, 261, 351, 270, 360, 267, 357, 257, 347, 245, 335, 233, 323, 220, 310, 204, 294)(193, 283, 207, 297, 224, 314, 236, 326, 248, 338, 260, 350, 269, 359, 268, 358, 258, 348, 246, 336, 234, 324, 222, 312, 205, 295, 221, 311, 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, 210)(19, 204)(20, 208)(21, 190)(22, 206)(23, 195)(24, 199)(25, 192)(26, 202)(27, 196)(28, 200)(29, 194)(30, 198)(31, 221)(32, 225)(33, 219)(34, 224)(35, 227)(36, 222)(37, 220)(38, 230)(39, 213)(40, 217)(41, 211)(42, 216)(43, 233)(44, 214)(45, 212)(46, 236)(47, 215)(48, 237)(49, 240)(50, 218)(51, 234)(52, 243)(53, 223)(54, 231)(55, 246)(56, 226)(57, 228)(58, 249)(59, 248)(60, 229)(61, 250)(62, 245)(63, 232)(64, 247)(65, 242)(66, 235)(67, 244)(68, 239)(69, 238)(70, 241)(71, 261)(72, 260)(73, 263)(74, 258)(75, 257)(76, 265)(77, 255)(78, 254)(79, 267)(80, 252)(81, 251)(82, 269)(83, 253)(84, 270)(85, 256)(86, 268)(87, 259)(88, 266)(89, 262)(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, 12, 2, 12 ), ( 2, 12, 2, 12, 2, 12, 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 E13.1352
Graph:: bipartite
	v = 51 e = 180 f = 105
	degree seq :: [ 4^45, 30^6 ]

E13.1352 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 15})
Quotient :: dipole
Aut^+ = C3 x D30 (small group id <90, 7>)
Aut   = S3 x D30 (small group id <180, 29>)
|r| :: 2
Presentation :: [ Y2, R^2, (Y3^-1 * Y1^-1)^2, (R * Y1)^2, (R * Y3)^2, Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-2, Y3^-1 * Y1 * Y3^-1 * Y1^-3, (R * Y2 * Y3^-1)^2, (Y3^-2 * Y1)^2, (Y3 * Y2^-1)^15 ]
Map:: polytopal
	R = (1, 91, 2, 92, 6, 96, 16, 106, 13, 103, 4, 94)(3, 93, 9, 99, 17, 107, 8, 98, 21, 111, 11, 101)(5, 95, 14, 104, 18, 108, 12, 102, 20, 110, 7, 97)(10, 100, 24, 114, 29, 119, 23, 113, 33, 123, 22, 112)(15, 105, 26, 116, 30, 120, 19, 109, 31, 121, 27, 117)(25, 115, 34, 124, 41, 131, 36, 126, 45, 135, 35, 125)(28, 118, 32, 122, 42, 132, 39, 129, 43, 133, 38, 128)(37, 127, 47, 137, 53, 143, 46, 136, 57, 147, 48, 138)(40, 130, 51, 141, 54, 144, 50, 140, 55, 145, 44, 134)(49, 139, 60, 150, 65, 155, 59, 149, 69, 159, 58, 148)(52, 142, 62, 152, 66, 156, 56, 146, 67, 157, 63, 153)(61, 151, 70, 160, 77, 167, 72, 162, 81, 171, 71, 161)(64, 154, 68, 158, 78, 168, 75, 165, 79, 169, 74, 164)(73, 163, 83, 173, 87, 177, 82, 172, 90, 180, 84, 174)(76, 166, 86, 176, 88, 178, 85, 175, 89, 179, 80, 170)(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, 196)(12, 206)(13, 201)(14, 207)(15, 185)(16, 194)(17, 209)(18, 186)(19, 212)(20, 193)(21, 213)(22, 188)(23, 189)(24, 191)(25, 217)(26, 218)(27, 219)(28, 195)(29, 221)(30, 198)(31, 200)(32, 224)(33, 225)(34, 202)(35, 203)(36, 204)(37, 229)(38, 230)(39, 231)(40, 208)(41, 233)(42, 210)(43, 211)(44, 236)(45, 237)(46, 214)(47, 215)(48, 216)(49, 241)(50, 242)(51, 243)(52, 220)(53, 245)(54, 222)(55, 223)(56, 248)(57, 249)(58, 226)(59, 227)(60, 228)(61, 253)(62, 254)(63, 255)(64, 232)(65, 257)(66, 234)(67, 235)(68, 260)(69, 261)(70, 238)(71, 239)(72, 240)(73, 256)(74, 265)(75, 266)(76, 244)(77, 267)(78, 246)(79, 247)(80, 262)(81, 270)(82, 250)(83, 251)(84, 252)(85, 263)(86, 264)(87, 268)(88, 258)(89, 259)(90, 269)(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 ) }
Outer automorphisms :: reflexible
Dual of E13.1351
Graph:: simple bipartite
	v = 105 e = 180 f = 51
	degree seq :: [ 2^90, 12^15 ]

E13.1353 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 2, 4})
Quotient :: halfedge^2
Aut^+ = (C2 x C2 x C2 x S3) : C2 (small group id <96, 89>)
Aut   = $<192, 300>$ (small group id <192, 300>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, Y3^2, R^2, (Y3 * Y2)^2, R * Y3 * R * Y2, (R * Y1)^2, (Y1 * Y3 * Y1 * Y3 * Y2)^2, Y3 * Y1 * Y2 * Y1 * Y3 * Y2 * Y1 * Y2 * Y1 * Y2, (Y3 * Y1 * Y2 * Y1 * Y3 * Y1)^4 ]
Map:: polytopal non-degenerate
	R = (1, 98, 2, 97)(3, 103, 7, 99)(4, 105, 9, 100)(5, 106, 10, 101)(6, 108, 12, 102)(8, 111, 15, 104)(11, 116, 20, 107)(13, 119, 23, 109)(14, 121, 25, 110)(16, 124, 28, 112)(17, 126, 30, 113)(18, 127, 31, 114)(19, 129, 33, 115)(21, 132, 36, 117)(22, 134, 38, 118)(24, 130, 34, 120)(26, 128, 32, 122)(27, 133, 37, 123)(29, 131, 35, 125)(39, 145, 49, 135)(40, 146, 50, 136)(41, 147, 51, 137)(42, 148, 52, 138)(43, 144, 48, 139)(44, 149, 53, 140)(45, 150, 54, 141)(46, 151, 55, 142)(47, 152, 56, 143)(57, 161, 65, 153)(58, 162, 66, 154)(59, 163, 67, 155)(60, 164, 68, 156)(61, 165, 69, 157)(62, 166, 70, 158)(63, 167, 71, 159)(64, 168, 72, 160)(73, 177, 81, 169)(74, 178, 82, 170)(75, 179, 83, 171)(76, 180, 84, 172)(77, 181, 85, 173)(78, 182, 86, 174)(79, 183, 87, 175)(80, 184, 88, 176)(89, 189, 93, 185)(90, 191, 95, 186)(91, 190, 94, 187)(92, 192, 96, 188)
	L = (1, 3)(2, 5)(4, 8)(6, 11)(7, 13)(9, 16)(10, 18)(12, 21)(14, 24)(15, 26)(17, 29)(19, 32)(20, 34)(22, 37)(23, 39)(25, 41)(27, 43)(28, 40)(30, 42)(31, 44)(33, 46)(35, 48)(36, 45)(38, 47)(49, 57)(50, 59)(51, 58)(52, 60)(53, 61)(54, 63)(55, 62)(56, 64)(65, 73)(66, 75)(67, 74)(68, 76)(69, 77)(70, 79)(71, 78)(72, 80)(81, 89)(82, 91)(83, 90)(84, 92)(85, 93)(86, 95)(87, 94)(88, 96)(97, 100)(98, 102)(99, 104)(101, 107)(103, 110)(105, 113)(106, 115)(108, 118)(109, 120)(111, 123)(112, 125)(114, 128)(116, 131)(117, 133)(119, 136)(121, 138)(122, 139)(124, 135)(126, 137)(127, 141)(129, 143)(130, 144)(132, 140)(134, 142)(145, 154)(146, 156)(147, 153)(148, 155)(149, 158)(150, 160)(151, 157)(152, 159)(161, 170)(162, 172)(163, 169)(164, 171)(165, 174)(166, 176)(167, 173)(168, 175)(177, 186)(178, 188)(179, 185)(180, 187)(181, 190)(182, 192)(183, 189)(184, 191)
	local type(s) :: { ( 8^4 ) }
Outer automorphisms :: reflexible
Dual of E13.1354
Transitivity :: VT+ AT
Graph:: simple bipartite
	v = 48 e = 96 f = 24
	degree seq :: [ 4^48 ]

E13.1354 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 2, 4})
Quotient :: halfedge^2
Aut^+ = (C2 x C2 x C2 x S3) : C2 (small group id <96, 89>)
Aut   = $<192, 300>$ (small group id <192, 300>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, R * Y3 * R * Y2, (Y3 * Y2)^2, (R * Y1)^2, Y1^4, (Y1^-1 * Y3 * Y1^-1)^2, (Y1^-1 * Y2 * Y1^-1)^2, (Y1^-1 * Y3 * Y2)^2, Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 98, 2, 102, 6, 101, 5, 97)(3, 105, 9, 112, 16, 107, 11, 99)(4, 108, 12, 113, 17, 109, 13, 100)(7, 114, 18, 110, 14, 116, 20, 103)(8, 117, 21, 111, 15, 118, 22, 104)(10, 121, 25, 124, 28, 115, 19, 106)(23, 129, 33, 122, 26, 130, 34, 119)(24, 131, 35, 123, 27, 132, 36, 120)(29, 133, 37, 127, 31, 134, 38, 125)(30, 135, 39, 128, 32, 136, 40, 126)(41, 145, 49, 139, 43, 146, 50, 137)(42, 147, 51, 140, 44, 148, 52, 138)(45, 149, 53, 143, 47, 150, 54, 141)(46, 151, 55, 144, 48, 152, 56, 142)(57, 161, 65, 155, 59, 162, 66, 153)(58, 163, 67, 156, 60, 164, 68, 154)(61, 165, 69, 159, 63, 166, 70, 157)(62, 167, 71, 160, 64, 168, 72, 158)(73, 177, 81, 171, 75, 178, 82, 169)(74, 179, 83, 172, 76, 180, 84, 170)(77, 181, 85, 175, 79, 182, 86, 173)(78, 183, 87, 176, 80, 184, 88, 174)(89, 189, 93, 187, 91, 191, 95, 185)(90, 192, 96, 188, 92, 190, 94, 186)
	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, 100)(98, 104)(99, 106)(101, 111)(102, 113)(103, 115)(105, 120)(107, 123)(108, 122)(109, 119)(110, 121)(112, 124)(114, 126)(116, 128)(117, 127)(118, 125)(129, 138)(130, 140)(131, 139)(132, 137)(133, 142)(134, 144)(135, 143)(136, 141)(145, 154)(146, 156)(147, 155)(148, 153)(149, 158)(150, 160)(151, 159)(152, 157)(161, 170)(162, 172)(163, 171)(164, 169)(165, 174)(166, 176)(167, 175)(168, 173)(177, 186)(178, 188)(179, 187)(180, 185)(181, 190)(182, 192)(183, 191)(184, 189)
	local type(s) :: { ( 4^8 ) }
Outer automorphisms :: reflexible
Dual of E13.1353
Transitivity :: VT+ AT
Graph:: bipartite
	v = 24 e = 96 f = 48
	degree seq :: [ 8^24 ]

E13.1355 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 2, 4})
Quotient :: edge^2
Aut^+ = (C2 x C2 x C2 x S3) : C2 (small group id <96, 89>)
Aut   = $<192, 300>$ (small group id <192, 300>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, Y3^2, R^2, (Y2 * Y1)^2, R * Y1 * R * Y2, (R * Y3)^2, (Y2 * Y3 * Y2 * Y3 * Y1)^2, (Y2 * Y3 * Y1 * Y3 * Y1)^2, (Y3 * Y1)^12 ]
Map:: polytopal
	R = (1, 97, 4, 100)(2, 98, 6, 102)(3, 99, 7, 103)(5, 101, 10, 106)(8, 104, 16, 112)(9, 105, 17, 113)(11, 107, 21, 117)(12, 108, 22, 118)(13, 109, 24, 120)(14, 110, 25, 121)(15, 111, 26, 122)(18, 114, 32, 128)(19, 115, 33, 129)(20, 116, 34, 130)(23, 119, 39, 135)(27, 123, 40, 136)(28, 124, 41, 137)(29, 125, 42, 138)(30, 126, 43, 139)(31, 127, 44, 140)(35, 131, 45, 141)(36, 132, 46, 142)(37, 133, 47, 143)(38, 134, 48, 144)(49, 145, 57, 153)(50, 146, 58, 154)(51, 147, 59, 155)(52, 148, 60, 156)(53, 149, 61, 157)(54, 150, 62, 158)(55, 151, 63, 159)(56, 152, 64, 160)(65, 161, 73, 169)(66, 162, 74, 170)(67, 163, 75, 171)(68, 164, 76, 172)(69, 165, 77, 173)(70, 166, 78, 174)(71, 167, 79, 175)(72, 168, 80, 176)(81, 177, 89, 185)(82, 178, 90, 186)(83, 179, 91, 187)(84, 180, 92, 188)(85, 181, 93, 189)(86, 182, 94, 190)(87, 183, 95, 191)(88, 184, 96, 192)(193, 194)(195, 197)(196, 200)(198, 203)(199, 205)(201, 207)(202, 210)(204, 212)(206, 215)(208, 219)(209, 221)(211, 223)(213, 227)(214, 229)(216, 228)(217, 230)(218, 226)(220, 224)(222, 225)(231, 236)(232, 241)(233, 243)(234, 242)(235, 244)(237, 245)(238, 247)(239, 246)(240, 248)(249, 257)(250, 259)(251, 258)(252, 260)(253, 261)(254, 263)(255, 262)(256, 264)(265, 273)(266, 275)(267, 274)(268, 276)(269, 277)(270, 279)(271, 278)(272, 280)(281, 285)(282, 286)(283, 287)(284, 288)(289, 291)(290, 293)(292, 297)(294, 300)(295, 302)(296, 303)(298, 307)(299, 308)(301, 311)(304, 316)(305, 318)(306, 319)(309, 324)(310, 326)(312, 323)(313, 325)(314, 327)(315, 320)(317, 321)(322, 332)(328, 338)(329, 340)(330, 337)(331, 339)(333, 342)(334, 344)(335, 341)(336, 343)(345, 354)(346, 356)(347, 353)(348, 355)(349, 358)(350, 360)(351, 357)(352, 359)(361, 370)(362, 372)(363, 369)(364, 371)(365, 374)(366, 376)(367, 373)(368, 375)(377, 383)(378, 384)(379, 381)(380, 382)
	L = (1, 193)(2, 194)(3, 195)(4, 196)(5, 197)(6, 198)(7, 199)(8, 200)(9, 201)(10, 202)(11, 203)(12, 204)(13, 205)(14, 206)(15, 207)(16, 208)(17, 209)(18, 210)(19, 211)(20, 212)(21, 213)(22, 214)(23, 215)(24, 216)(25, 217)(26, 218)(27, 219)(28, 220)(29, 221)(30, 222)(31, 223)(32, 224)(33, 225)(34, 226)(35, 227)(36, 228)(37, 229)(38, 230)(39, 231)(40, 232)(41, 233)(42, 234)(43, 235)(44, 236)(45, 237)(46, 238)(47, 239)(48, 240)(49, 241)(50, 242)(51, 243)(52, 244)(53, 245)(54, 246)(55, 247)(56, 248)(57, 249)(58, 250)(59, 251)(60, 252)(61, 253)(62, 254)(63, 255)(64, 256)(65, 257)(66, 258)(67, 259)(68, 260)(69, 261)(70, 262)(71, 263)(72, 264)(73, 265)(74, 266)(75, 267)(76, 268)(77, 269)(78, 270)(79, 271)(80, 272)(81, 273)(82, 274)(83, 275)(84, 276)(85, 277)(86, 278)(87, 279)(88, 280)(89, 281)(90, 282)(91, 283)(92, 284)(93, 285)(94, 286)(95, 287)(96, 288)(97, 289)(98, 290)(99, 291)(100, 292)(101, 293)(102, 294)(103, 295)(104, 296)(105, 297)(106, 298)(107, 299)(108, 300)(109, 301)(110, 302)(111, 303)(112, 304)(113, 305)(114, 306)(115, 307)(116, 308)(117, 309)(118, 310)(119, 311)(120, 312)(121, 313)(122, 314)(123, 315)(124, 316)(125, 317)(126, 318)(127, 319)(128, 320)(129, 321)(130, 322)(131, 323)(132, 324)(133, 325)(134, 326)(135, 327)(136, 328)(137, 329)(138, 330)(139, 331)(140, 332)(141, 333)(142, 334)(143, 335)(144, 336)(145, 337)(146, 338)(147, 339)(148, 340)(149, 341)(150, 342)(151, 343)(152, 344)(153, 345)(154, 346)(155, 347)(156, 348)(157, 349)(158, 350)(159, 351)(160, 352)(161, 353)(162, 354)(163, 355)(164, 356)(165, 357)(166, 358)(167, 359)(168, 360)(169, 361)(170, 362)(171, 363)(172, 364)(173, 365)(174, 366)(175, 367)(176, 368)(177, 369)(178, 370)(179, 371)(180, 372)(181, 373)(182, 374)(183, 375)(184, 376)(185, 377)(186, 378)(187, 379)(188, 380)(189, 381)(190, 382)(191, 383)(192, 384)
	local type(s) :: { ( 16, 16 ), ( 16^4 ) }
Outer automorphisms :: reflexible
Dual of E13.1358
Graph:: simple bipartite
	v = 144 e = 192 f = 24
	degree seq :: [ 2^96, 4^48 ]

E13.1356 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 2, 4})
Quotient :: edge^2
Aut^+ = (C2 x C2 x C2 x S3) : C2 (small group id <96, 89>)
Aut   = $<192, 300>$ (small group id <192, 300>)
|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 * Y2 * Y3^-1)^2, (Y3^-1 * Y1 * Y3^-1)^2, Y3^-1 * Y1 * Y3^-1 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 ]
Map:: polytopal
	R = (1, 97, 4, 100, 13, 109, 5, 101)(2, 98, 7, 103, 20, 116, 8, 104)(3, 99, 9, 105, 23, 119, 10, 106)(6, 102, 16, 112, 28, 124, 17, 113)(11, 107, 24, 120, 14, 110, 25, 121)(12, 108, 26, 122, 15, 111, 27, 123)(18, 114, 29, 125, 21, 117, 30, 126)(19, 115, 31, 127, 22, 118, 32, 128)(33, 129, 41, 137, 35, 131, 42, 138)(34, 130, 43, 139, 36, 132, 44, 140)(37, 133, 45, 141, 39, 135, 46, 142)(38, 134, 47, 143, 40, 136, 48, 144)(49, 145, 57, 153, 51, 147, 58, 154)(50, 146, 59, 155, 52, 148, 60, 156)(53, 149, 61, 157, 55, 151, 62, 158)(54, 150, 63, 159, 56, 152, 64, 160)(65, 161, 73, 169, 67, 163, 74, 170)(66, 162, 75, 171, 68, 164, 76, 172)(69, 165, 77, 173, 71, 167, 78, 174)(70, 166, 79, 175, 72, 168, 80, 176)(81, 177, 89, 185, 83, 179, 90, 186)(82, 178, 91, 187, 84, 180, 92, 188)(85, 181, 93, 189, 87, 183, 94, 190)(86, 182, 95, 191, 88, 184, 96, 192)(193, 194)(195, 198)(196, 203)(197, 206)(199, 210)(200, 213)(201, 214)(202, 211)(204, 209)(205, 212)(207, 208)(215, 220)(216, 225)(217, 227)(218, 228)(219, 226)(221, 229)(222, 231)(223, 232)(224, 230)(233, 241)(234, 243)(235, 244)(236, 242)(237, 245)(238, 247)(239, 248)(240, 246)(249, 257)(250, 259)(251, 260)(252, 258)(253, 261)(254, 263)(255, 264)(256, 262)(265, 273)(266, 275)(267, 276)(268, 274)(269, 277)(270, 279)(271, 280)(272, 278)(281, 285)(282, 286)(283, 287)(284, 288)(289, 291)(290, 294)(292, 300)(293, 303)(295, 307)(296, 310)(297, 309)(298, 306)(299, 305)(301, 311)(302, 304)(308, 316)(312, 322)(313, 324)(314, 323)(315, 321)(317, 326)(318, 328)(319, 327)(320, 325)(329, 338)(330, 340)(331, 339)(332, 337)(333, 342)(334, 344)(335, 343)(336, 341)(345, 354)(346, 356)(347, 355)(348, 353)(349, 358)(350, 360)(351, 359)(352, 357)(361, 370)(362, 372)(363, 371)(364, 369)(365, 374)(366, 376)(367, 375)(368, 373)(377, 384)(378, 383)(379, 382)(380, 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 ), ( 8^8 ) }
Outer automorphisms :: reflexible
Dual of E13.1357
Graph:: simple bipartite
	v = 120 e = 192 f = 48
	degree seq :: [ 2^96, 8^24 ]

E13.1357 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 2, 4})
Quotient :: loop^2
Aut^+ = (C2 x C2 x C2 x S3) : C2 (small group id <96, 89>)
Aut   = $<192, 300>$ (small group id <192, 300>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, Y3^2, R^2, (Y2 * Y1)^2, R * Y1 * R * Y2, (R * Y3)^2, (Y2 * Y3 * Y2 * Y3 * Y1)^2, (Y2 * Y3 * Y1 * Y3 * Y1)^2, (Y3 * Y1)^12 ]
Map::
	R = (1, 97, 193, 289, 4, 100, 196, 292)(2, 98, 194, 290, 6, 102, 198, 294)(3, 99, 195, 291, 7, 103, 199, 295)(5, 101, 197, 293, 10, 106, 202, 298)(8, 104, 200, 296, 16, 112, 208, 304)(9, 105, 201, 297, 17, 113, 209, 305)(11, 107, 203, 299, 21, 117, 213, 309)(12, 108, 204, 300, 22, 118, 214, 310)(13, 109, 205, 301, 24, 120, 216, 312)(14, 110, 206, 302, 25, 121, 217, 313)(15, 111, 207, 303, 26, 122, 218, 314)(18, 114, 210, 306, 32, 128, 224, 320)(19, 115, 211, 307, 33, 129, 225, 321)(20, 116, 212, 308, 34, 130, 226, 322)(23, 119, 215, 311, 39, 135, 231, 327)(27, 123, 219, 315, 40, 136, 232, 328)(28, 124, 220, 316, 41, 137, 233, 329)(29, 125, 221, 317, 42, 138, 234, 330)(30, 126, 222, 318, 43, 139, 235, 331)(31, 127, 223, 319, 44, 140, 236, 332)(35, 131, 227, 323, 45, 141, 237, 333)(36, 132, 228, 324, 46, 142, 238, 334)(37, 133, 229, 325, 47, 143, 239, 335)(38, 134, 230, 326, 48, 144, 240, 336)(49, 145, 241, 337, 57, 153, 249, 345)(50, 146, 242, 338, 58, 154, 250, 346)(51, 147, 243, 339, 59, 155, 251, 347)(52, 148, 244, 340, 60, 156, 252, 348)(53, 149, 245, 341, 61, 157, 253, 349)(54, 150, 246, 342, 62, 158, 254, 350)(55, 151, 247, 343, 63, 159, 255, 351)(56, 152, 248, 344, 64, 160, 256, 352)(65, 161, 257, 353, 73, 169, 265, 361)(66, 162, 258, 354, 74, 170, 266, 362)(67, 163, 259, 355, 75, 171, 267, 363)(68, 164, 260, 356, 76, 172, 268, 364)(69, 165, 261, 357, 77, 173, 269, 365)(70, 166, 262, 358, 78, 174, 270, 366)(71, 167, 263, 359, 79, 175, 271, 367)(72, 168, 264, 360, 80, 176, 272, 368)(81, 177, 273, 369, 89, 185, 281, 377)(82, 178, 274, 370, 90, 186, 282, 378)(83, 179, 275, 371, 91, 187, 283, 379)(84, 180, 276, 372, 92, 188, 284, 380)(85, 181, 277, 373, 93, 189, 285, 381)(86, 182, 278, 374, 94, 190, 286, 382)(87, 183, 279, 375, 95, 191, 287, 383)(88, 184, 280, 376, 96, 192, 288, 384)
	L = (1, 98)(2, 97)(3, 101)(4, 104)(5, 99)(6, 107)(7, 109)(8, 100)(9, 111)(10, 114)(11, 102)(12, 116)(13, 103)(14, 119)(15, 105)(16, 123)(17, 125)(18, 106)(19, 127)(20, 108)(21, 131)(22, 133)(23, 110)(24, 132)(25, 134)(26, 130)(27, 112)(28, 128)(29, 113)(30, 129)(31, 115)(32, 124)(33, 126)(34, 122)(35, 117)(36, 120)(37, 118)(38, 121)(39, 140)(40, 145)(41, 147)(42, 146)(43, 148)(44, 135)(45, 149)(46, 151)(47, 150)(48, 152)(49, 136)(50, 138)(51, 137)(52, 139)(53, 141)(54, 143)(55, 142)(56, 144)(57, 161)(58, 163)(59, 162)(60, 164)(61, 165)(62, 167)(63, 166)(64, 168)(65, 153)(66, 155)(67, 154)(68, 156)(69, 157)(70, 159)(71, 158)(72, 160)(73, 177)(74, 179)(75, 178)(76, 180)(77, 181)(78, 183)(79, 182)(80, 184)(81, 169)(82, 171)(83, 170)(84, 172)(85, 173)(86, 175)(87, 174)(88, 176)(89, 189)(90, 190)(91, 191)(92, 192)(93, 185)(94, 186)(95, 187)(96, 188)(193, 291)(194, 293)(195, 289)(196, 297)(197, 290)(198, 300)(199, 302)(200, 303)(201, 292)(202, 307)(203, 308)(204, 294)(205, 311)(206, 295)(207, 296)(208, 316)(209, 318)(210, 319)(211, 298)(212, 299)(213, 324)(214, 326)(215, 301)(216, 323)(217, 325)(218, 327)(219, 320)(220, 304)(221, 321)(222, 305)(223, 306)(224, 315)(225, 317)(226, 332)(227, 312)(228, 309)(229, 313)(230, 310)(231, 314)(232, 338)(233, 340)(234, 337)(235, 339)(236, 322)(237, 342)(238, 344)(239, 341)(240, 343)(241, 330)(242, 328)(243, 331)(244, 329)(245, 335)(246, 333)(247, 336)(248, 334)(249, 354)(250, 356)(251, 353)(252, 355)(253, 358)(254, 360)(255, 357)(256, 359)(257, 347)(258, 345)(259, 348)(260, 346)(261, 351)(262, 349)(263, 352)(264, 350)(265, 370)(266, 372)(267, 369)(268, 371)(269, 374)(270, 376)(271, 373)(272, 375)(273, 363)(274, 361)(275, 364)(276, 362)(277, 367)(278, 365)(279, 368)(280, 366)(281, 383)(282, 384)(283, 381)(284, 382)(285, 379)(286, 380)(287, 377)(288, 378)
	local type(s) :: { ( 2, 8, 2, 8, 2, 8, 2, 8 ) }
Outer automorphisms :: reflexible
Dual of E13.1356
Transitivity :: VT+
Graph:: bipartite
	v = 48 e = 192 f = 120
	degree seq :: [ 8^48 ]

E13.1358 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 2, 4})
Quotient :: loop^2
Aut^+ = (C2 x C2 x C2 x S3) : C2 (small group id <96, 89>)
Aut   = $<192, 300>$ (small group id <192, 300>)
|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 * Y2 * Y3^-1)^2, (Y3^-1 * Y1 * Y3^-1)^2, Y3^-1 * Y1 * Y3^-1 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 ]
Map::
	R = (1, 97, 193, 289, 4, 100, 196, 292, 13, 109, 205, 301, 5, 101, 197, 293)(2, 98, 194, 290, 7, 103, 199, 295, 20, 116, 212, 308, 8, 104, 200, 296)(3, 99, 195, 291, 9, 105, 201, 297, 23, 119, 215, 311, 10, 106, 202, 298)(6, 102, 198, 294, 16, 112, 208, 304, 28, 124, 220, 316, 17, 113, 209, 305)(11, 107, 203, 299, 24, 120, 216, 312, 14, 110, 206, 302, 25, 121, 217, 313)(12, 108, 204, 300, 26, 122, 218, 314, 15, 111, 207, 303, 27, 123, 219, 315)(18, 114, 210, 306, 29, 125, 221, 317, 21, 117, 213, 309, 30, 126, 222, 318)(19, 115, 211, 307, 31, 127, 223, 319, 22, 118, 214, 310, 32, 128, 224, 320)(33, 129, 225, 321, 41, 137, 233, 329, 35, 131, 227, 323, 42, 138, 234, 330)(34, 130, 226, 322, 43, 139, 235, 331, 36, 132, 228, 324, 44, 140, 236, 332)(37, 133, 229, 325, 45, 141, 237, 333, 39, 135, 231, 327, 46, 142, 238, 334)(38, 134, 230, 326, 47, 143, 239, 335, 40, 136, 232, 328, 48, 144, 240, 336)(49, 145, 241, 337, 57, 153, 249, 345, 51, 147, 243, 339, 58, 154, 250, 346)(50, 146, 242, 338, 59, 155, 251, 347, 52, 148, 244, 340, 60, 156, 252, 348)(53, 149, 245, 341, 61, 157, 253, 349, 55, 151, 247, 343, 62, 158, 254, 350)(54, 150, 246, 342, 63, 159, 255, 351, 56, 152, 248, 344, 64, 160, 256, 352)(65, 161, 257, 353, 73, 169, 265, 361, 67, 163, 259, 355, 74, 170, 266, 362)(66, 162, 258, 354, 75, 171, 267, 363, 68, 164, 260, 356, 76, 172, 268, 364)(69, 165, 261, 357, 77, 173, 269, 365, 71, 167, 263, 359, 78, 174, 270, 366)(70, 166, 262, 358, 79, 175, 271, 367, 72, 168, 264, 360, 80, 176, 272, 368)(81, 177, 273, 369, 89, 185, 281, 377, 83, 179, 275, 371, 90, 186, 282, 378)(82, 178, 274, 370, 91, 187, 283, 379, 84, 180, 276, 372, 92, 188, 284, 380)(85, 181, 277, 373, 93, 189, 285, 381, 87, 183, 279, 375, 94, 190, 286, 382)(86, 182, 278, 374, 95, 191, 287, 383, 88, 184, 280, 376, 96, 192, 288, 384)
	L = (1, 98)(2, 97)(3, 102)(4, 107)(5, 110)(6, 99)(7, 114)(8, 117)(9, 118)(10, 115)(11, 100)(12, 113)(13, 116)(14, 101)(15, 112)(16, 111)(17, 108)(18, 103)(19, 106)(20, 109)(21, 104)(22, 105)(23, 124)(24, 129)(25, 131)(26, 132)(27, 130)(28, 119)(29, 133)(30, 135)(31, 136)(32, 134)(33, 120)(34, 123)(35, 121)(36, 122)(37, 125)(38, 128)(39, 126)(40, 127)(41, 145)(42, 147)(43, 148)(44, 146)(45, 149)(46, 151)(47, 152)(48, 150)(49, 137)(50, 140)(51, 138)(52, 139)(53, 141)(54, 144)(55, 142)(56, 143)(57, 161)(58, 163)(59, 164)(60, 162)(61, 165)(62, 167)(63, 168)(64, 166)(65, 153)(66, 156)(67, 154)(68, 155)(69, 157)(70, 160)(71, 158)(72, 159)(73, 177)(74, 179)(75, 180)(76, 178)(77, 181)(78, 183)(79, 184)(80, 182)(81, 169)(82, 172)(83, 170)(84, 171)(85, 173)(86, 176)(87, 174)(88, 175)(89, 189)(90, 190)(91, 191)(92, 192)(93, 185)(94, 186)(95, 187)(96, 188)(193, 291)(194, 294)(195, 289)(196, 300)(197, 303)(198, 290)(199, 307)(200, 310)(201, 309)(202, 306)(203, 305)(204, 292)(205, 311)(206, 304)(207, 293)(208, 302)(209, 299)(210, 298)(211, 295)(212, 316)(213, 297)(214, 296)(215, 301)(216, 322)(217, 324)(218, 323)(219, 321)(220, 308)(221, 326)(222, 328)(223, 327)(224, 325)(225, 315)(226, 312)(227, 314)(228, 313)(229, 320)(230, 317)(231, 319)(232, 318)(233, 338)(234, 340)(235, 339)(236, 337)(237, 342)(238, 344)(239, 343)(240, 341)(241, 332)(242, 329)(243, 331)(244, 330)(245, 336)(246, 333)(247, 335)(248, 334)(249, 354)(250, 356)(251, 355)(252, 353)(253, 358)(254, 360)(255, 359)(256, 357)(257, 348)(258, 345)(259, 347)(260, 346)(261, 352)(262, 349)(263, 351)(264, 350)(265, 370)(266, 372)(267, 371)(268, 369)(269, 374)(270, 376)(271, 375)(272, 373)(273, 364)(274, 361)(275, 363)(276, 362)(277, 368)(278, 365)(279, 367)(280, 366)(281, 384)(282, 383)(283, 382)(284, 381)(285, 380)(286, 379)(287, 378)(288, 377)
	local type(s) :: { ( 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4 ) }
Outer automorphisms :: reflexible
Dual of E13.1355
Transitivity :: VT+
Graph:: bipartite
	v = 24 e = 192 f = 144
	degree seq :: [ 16^24 ]

E13.1359 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 4})
Quotient :: dipole
Aut^+ = (C2 x C2 x C2 x S3) : C2 (small group id <96, 89>)
Aut   = $<192, 1046>$ (small group id <192, 1046>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, Y3^2, R^2, (R * Y2)^2, (Y3 * Y2)^2, (R * Y3)^2, (R * Y1)^2, (Y3 * Y1)^4, (Y2 * Y1 * Y3 * Y1)^2, (Y2 * Y1)^12 ]
Map:: polytopal non-degenerate
	R = (1, 97, 2, 98)(3, 99, 7, 103)(4, 100, 9, 105)(5, 101, 10, 106)(6, 102, 12, 108)(8, 104, 15, 111)(11, 107, 20, 116)(13, 109, 23, 119)(14, 110, 21, 117)(16, 112, 19, 115)(17, 113, 22, 118)(18, 114, 28, 124)(24, 120, 35, 131)(25, 121, 34, 130)(26, 122, 32, 128)(27, 123, 31, 127)(29, 125, 39, 135)(30, 126, 38, 134)(33, 129, 41, 137)(36, 132, 44, 140)(37, 133, 45, 141)(40, 136, 48, 144)(42, 138, 51, 147)(43, 139, 50, 146)(46, 142, 55, 151)(47, 143, 54, 150)(49, 145, 57, 153)(52, 148, 60, 156)(53, 149, 61, 157)(56, 152, 64, 160)(58, 154, 67, 163)(59, 155, 66, 162)(62, 158, 71, 167)(63, 159, 70, 166)(65, 161, 73, 169)(68, 164, 76, 172)(69, 165, 77, 173)(72, 168, 80, 176)(74, 170, 83, 179)(75, 171, 82, 178)(78, 174, 87, 183)(79, 175, 86, 182)(81, 177, 85, 181)(84, 180, 91, 187)(88, 184, 94, 190)(89, 185, 93, 189)(90, 186, 92, 188)(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, 221, 317)(212, 308, 222, 318)(214, 310, 224, 320)(215, 311, 225, 321)(218, 314, 228, 324)(220, 316, 229, 325)(223, 319, 232, 328)(226, 322, 234, 330)(227, 323, 235, 331)(230, 326, 238, 334)(231, 327, 239, 335)(233, 329, 241, 337)(236, 332, 244, 340)(237, 333, 245, 341)(240, 336, 248, 344)(242, 338, 250, 346)(243, 339, 251, 347)(246, 342, 254, 350)(247, 343, 255, 351)(249, 345, 257, 353)(252, 348, 260, 356)(253, 349, 261, 357)(256, 352, 264, 360)(258, 354, 266, 362)(259, 355, 267, 363)(262, 358, 270, 366)(263, 359, 271, 367)(265, 361, 273, 369)(268, 364, 276, 372)(269, 365, 277, 373)(272, 368, 280, 376)(274, 370, 281, 377)(275, 371, 282, 378)(278, 374, 284, 380)(279, 375, 285, 381)(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, 221)(19, 202)(20, 223)(21, 224)(22, 204)(23, 226)(24, 205)(25, 228)(26, 207)(27, 208)(28, 230)(29, 210)(30, 232)(31, 212)(32, 213)(33, 234)(34, 215)(35, 236)(36, 217)(37, 238)(38, 220)(39, 240)(40, 222)(41, 242)(42, 225)(43, 244)(44, 227)(45, 246)(46, 229)(47, 248)(48, 231)(49, 250)(50, 233)(51, 252)(52, 235)(53, 254)(54, 237)(55, 256)(56, 239)(57, 258)(58, 241)(59, 260)(60, 243)(61, 262)(62, 245)(63, 264)(64, 247)(65, 266)(66, 249)(67, 268)(68, 251)(69, 270)(70, 253)(71, 272)(72, 255)(73, 274)(74, 257)(75, 276)(76, 259)(77, 278)(78, 261)(79, 280)(80, 263)(81, 281)(82, 265)(83, 283)(84, 267)(85, 284)(86, 269)(87, 286)(88, 271)(89, 273)(90, 287)(91, 275)(92, 277)(93, 288)(94, 279)(95, 282)(96, 285)(97, 289)(98, 290)(99, 291)(100, 292)(101, 293)(102, 294)(103, 295)(104, 296)(105, 297)(106, 298)(107, 299)(108, 300)(109, 301)(110, 302)(111, 303)(112, 304)(113, 305)(114, 306)(115, 307)(116, 308)(117, 309)(118, 310)(119, 311)(120, 312)(121, 313)(122, 314)(123, 315)(124, 316)(125, 317)(126, 318)(127, 319)(128, 320)(129, 321)(130, 322)(131, 323)(132, 324)(133, 325)(134, 326)(135, 327)(136, 328)(137, 329)(138, 330)(139, 331)(140, 332)(141, 333)(142, 334)(143, 335)(144, 336)(145, 337)(146, 338)(147, 339)(148, 340)(149, 341)(150, 342)(151, 343)(152, 344)(153, 345)(154, 346)(155, 347)(156, 348)(157, 349)(158, 350)(159, 351)(160, 352)(161, 353)(162, 354)(163, 355)(164, 356)(165, 357)(166, 358)(167, 359)(168, 360)(169, 361)(170, 362)(171, 363)(172, 364)(173, 365)(174, 366)(175, 367)(176, 368)(177, 369)(178, 370)(179, 371)(180, 372)(181, 373)(182, 374)(183, 375)(184, 376)(185, 377)(186, 378)(187, 379)(188, 380)(189, 381)(190, 382)(191, 383)(192, 384)
	local type(s) :: { ( 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E13.1365
Graph:: simple bipartite
	v = 96 e = 192 f = 72
	degree seq :: [ 4^96 ]

E13.1360 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 4})
Quotient :: dipole
Aut^+ = (C2 x C4 x S3) : C2 (small group id <96, 102>)
Aut   = $<192, 1108>$ (small group id <192, 1108>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, (Y3 * Y2)^2, (R * Y3)^2, (R * Y1)^2, Y1 * Y3 * Y2 * Y3^-1 * Y1 * Y2, (R * Y2 * Y3^-1)^2, (Y3^2 * Y1)^2, Y3 * Y1 * Y3 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1, Y3^12 ]
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, 38, 134)(29, 125, 41, 137)(30, 126, 50, 146)(31, 127, 39, 135)(32, 128, 44, 140)(35, 131, 53, 149)(40, 136, 60, 156)(42, 138, 54, 150)(45, 141, 58, 154)(46, 142, 59, 155)(47, 143, 65, 161)(48, 144, 55, 151)(49, 145, 56, 152)(51, 147, 62, 158)(52, 148, 61, 157)(57, 153, 73, 169)(63, 159, 75, 171)(64, 160, 76, 172)(66, 162, 79, 175)(67, 163, 71, 167)(68, 164, 72, 168)(69, 165, 84, 180)(70, 166, 80, 176)(74, 170, 86, 182)(77, 173, 91, 187)(78, 174, 87, 183)(81, 177, 90, 186)(82, 178, 94, 190)(83, 179, 88, 184)(85, 181, 92, 188)(89, 185, 96, 192)(93, 189, 95, 191)(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, 246, 342)(230, 326, 250, 346)(231, 327, 251, 347)(233, 329, 247, 343)(234, 330, 249, 345)(235, 331, 253, 349)(238, 334, 256, 352)(242, 338, 259, 355)(243, 339, 245, 341)(244, 340, 258, 354)(248, 344, 264, 360)(252, 348, 267, 363)(254, 350, 266, 362)(255, 351, 269, 365)(257, 353, 272, 368)(260, 356, 275, 371)(261, 357, 263, 359)(262, 358, 274, 370)(265, 361, 279, 375)(268, 364, 282, 378)(270, 366, 281, 377)(271, 367, 284, 380)(273, 369, 285, 381)(276, 372, 286, 382)(277, 373, 278, 374)(280, 376, 287, 383)(283, 379, 288, 384)
	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, 243)(31, 236)(32, 207)(33, 208)(34, 247)(35, 249)(36, 250)(37, 251)(38, 213)(39, 211)(40, 253)(41, 246)(42, 214)(43, 215)(44, 256)(45, 218)(46, 216)(47, 258)(48, 219)(49, 259)(50, 221)(51, 261)(52, 224)(53, 225)(54, 264)(55, 228)(56, 226)(57, 266)(58, 229)(59, 267)(60, 231)(61, 269)(62, 234)(63, 235)(64, 272)(65, 238)(66, 274)(67, 275)(68, 242)(69, 277)(70, 244)(71, 245)(72, 279)(73, 248)(74, 281)(75, 282)(76, 252)(77, 284)(78, 254)(79, 255)(80, 285)(81, 257)(82, 278)(83, 286)(84, 260)(85, 262)(86, 263)(87, 287)(88, 265)(89, 271)(90, 288)(91, 268)(92, 270)(93, 276)(94, 273)(95, 283)(96, 280)(97, 289)(98, 290)(99, 291)(100, 292)(101, 293)(102, 294)(103, 295)(104, 296)(105, 297)(106, 298)(107, 299)(108, 300)(109, 301)(110, 302)(111, 303)(112, 304)(113, 305)(114, 306)(115, 307)(116, 308)(117, 309)(118, 310)(119, 311)(120, 312)(121, 313)(122, 314)(123, 315)(124, 316)(125, 317)(126, 318)(127, 319)(128, 320)(129, 321)(130, 322)(131, 323)(132, 324)(133, 325)(134, 326)(135, 327)(136, 328)(137, 329)(138, 330)(139, 331)(140, 332)(141, 333)(142, 334)(143, 335)(144, 336)(145, 337)(146, 338)(147, 339)(148, 340)(149, 341)(150, 342)(151, 343)(152, 344)(153, 345)(154, 346)(155, 347)(156, 348)(157, 349)(158, 350)(159, 351)(160, 352)(161, 353)(162, 354)(163, 355)(164, 356)(165, 357)(166, 358)(167, 359)(168, 360)(169, 361)(170, 362)(171, 363)(172, 364)(173, 365)(174, 366)(175, 367)(176, 368)(177, 369)(178, 370)(179, 371)(180, 372)(181, 373)(182, 374)(183, 375)(184, 376)(185, 377)(186, 378)(187, 379)(188, 380)(189, 381)(190, 382)(191, 383)(192, 384)
	local type(s) :: { ( 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E13.1366
Graph:: simple bipartite
	v = 96 e = 192 f = 72
	degree seq :: [ 4^96 ]

E13.1361 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 4})
Quotient :: dipole
Aut^+ = (C2 x C2 x C2 x S3) : C2 (small group id <96, 89>)
Aut   = $<192, 1147>$ (small group id <192, 1147>)
|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, Y3 * Y1 * Y3 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1, (Y3^-1 * Y1 * Y2 * Y1)^2, Y2 * Y1 * Y2 * Y3 * Y1 * Y2 * Y1 * Y3^-1 * 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, 44, 140)(32, 128, 48, 144)(33, 129, 62, 158)(34, 130, 37, 133)(35, 131, 45, 141)(36, 132, 64, 160)(40, 136, 68, 164)(42, 138, 67, 163)(46, 142, 77, 173)(50, 146, 69, 165)(51, 147, 80, 176)(54, 150, 65, 161)(55, 151, 76, 172)(56, 152, 75, 171)(57, 153, 85, 181)(58, 154, 79, 175)(59, 155, 78, 174)(60, 156, 71, 167)(61, 157, 70, 166)(63, 159, 74, 170)(66, 162, 89, 185)(72, 168, 94, 190)(73, 169, 88, 184)(81, 177, 90, 186)(82, 178, 96, 192)(83, 179, 93, 189)(84, 180, 92, 188)(86, 182, 95, 191)(87, 183, 91, 187)(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, 255, 351)(229, 325, 258, 354)(230, 326, 257, 353)(231, 327, 261, 357)(233, 329, 265, 361)(236, 332, 268, 364)(237, 333, 267, 363)(238, 334, 264, 360)(240, 336, 270, 366)(241, 337, 260, 356)(244, 340, 273, 369)(245, 341, 256, 352)(247, 343, 276, 372)(248, 344, 275, 371)(251, 347, 278, 374)(254, 350, 279, 375)(259, 355, 282, 378)(262, 358, 285, 381)(263, 359, 284, 380)(266, 362, 287, 383)(269, 365, 288, 384)(271, 367, 283, 379)(272, 368, 286, 382)(274, 370, 280, 376)(277, 373, 281, 377)
	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, 254)(36, 257)(37, 259)(38, 208)(39, 262)(40, 264)(41, 266)(42, 210)(43, 267)(44, 213)(45, 211)(46, 214)(47, 268)(48, 269)(49, 271)(50, 256)(51, 215)(52, 274)(53, 217)(54, 275)(55, 220)(56, 218)(57, 221)(58, 276)(59, 277)(60, 279)(61, 222)(62, 224)(63, 226)(64, 280)(65, 241)(66, 228)(67, 283)(68, 230)(69, 284)(70, 233)(71, 231)(72, 234)(73, 285)(74, 286)(75, 288)(76, 235)(77, 237)(78, 239)(79, 282)(80, 287)(81, 243)(82, 245)(83, 281)(84, 246)(85, 248)(86, 250)(87, 255)(88, 273)(89, 278)(90, 258)(91, 260)(92, 272)(93, 261)(94, 263)(95, 265)(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, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E13.1367
Graph:: simple bipartite
	v = 96 e = 192 f = 72
	degree seq :: [ 4^96 ]

E13.1362 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 4})
Quotient :: dipole
Aut^+ = (C2 x C2 x C2 x S3) : C2 (small group id <96, 89>)
Aut   = $<192, 1168>$ (small group id <192, 1168>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, (Y3^-1 * Y2)^2, (R * Y1)^2, (R * Y3)^2, (Y3^-2 * Y1)^2, (R * Y2 * Y3^-1)^2, R * Y3^3 * Y2 * R * Y3^-1 * Y2, Y3^3 * Y1 * Y2 * Y1 * Y3^-1 * Y2, (Y3 * Y1)^4 ]
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, 45, 141)(32, 128, 49, 145)(33, 129, 54, 150)(34, 130, 38, 134)(35, 131, 46, 142)(36, 132, 62, 158)(37, 133, 63, 159)(43, 139, 65, 161)(47, 143, 66, 162)(50, 146, 74, 170)(52, 148, 77, 173)(55, 151, 72, 168)(56, 152, 68, 164)(57, 153, 76, 172)(58, 154, 73, 169)(59, 155, 82, 178)(60, 156, 67, 163)(61, 157, 70, 166)(64, 160, 87, 183)(69, 165, 86, 182)(71, 167, 92, 188)(75, 171, 85, 181)(78, 174, 88, 184)(79, 175, 93, 189)(80, 176, 94, 190)(81, 177, 91, 187)(83, 179, 89, 185)(84, 180, 90, 186)(95, 191, 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, 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, 253, 349)(228, 324, 231, 327)(230, 326, 256, 352)(232, 328, 258, 354)(234, 330, 261, 357)(237, 333, 264, 360)(238, 334, 260, 356)(239, 335, 263, 359)(241, 337, 265, 361)(243, 339, 267, 363)(245, 341, 270, 366)(247, 343, 272, 368)(250, 346, 273, 369)(254, 350, 275, 371)(255, 351, 277, 373)(257, 353, 280, 376)(259, 355, 282, 378)(262, 358, 283, 379)(266, 362, 285, 381)(268, 364, 281, 377)(269, 365, 284, 380)(271, 367, 278, 374)(274, 370, 279, 375)(276, 372, 287, 383)(286, 382, 288, 384)
	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, 254)(36, 207)(37, 228)(38, 257)(39, 208)(40, 259)(41, 217)(42, 262)(43, 210)(44, 260)(45, 213)(46, 211)(47, 255)(48, 264)(49, 266)(50, 214)(51, 268)(52, 215)(53, 271)(54, 224)(55, 220)(56, 218)(57, 272)(58, 274)(59, 221)(60, 222)(61, 226)(62, 276)(63, 278)(64, 229)(65, 281)(66, 238)(67, 234)(68, 232)(69, 282)(70, 284)(71, 235)(72, 236)(73, 240)(74, 286)(75, 251)(76, 280)(77, 283)(78, 244)(79, 277)(80, 246)(81, 249)(82, 287)(83, 253)(84, 279)(85, 263)(86, 270)(87, 273)(88, 256)(89, 267)(90, 258)(91, 261)(92, 288)(93, 265)(94, 269)(95, 275)(96, 285)(97, 289)(98, 290)(99, 291)(100, 292)(101, 293)(102, 294)(103, 295)(104, 296)(105, 297)(106, 298)(107, 299)(108, 300)(109, 301)(110, 302)(111, 303)(112, 304)(113, 305)(114, 306)(115, 307)(116, 308)(117, 309)(118, 310)(119, 311)(120, 312)(121, 313)(122, 314)(123, 315)(124, 316)(125, 317)(126, 318)(127, 319)(128, 320)(129, 321)(130, 322)(131, 323)(132, 324)(133, 325)(134, 326)(135, 327)(136, 328)(137, 329)(138, 330)(139, 331)(140, 332)(141, 333)(142, 334)(143, 335)(144, 336)(145, 337)(146, 338)(147, 339)(148, 340)(149, 341)(150, 342)(151, 343)(152, 344)(153, 345)(154, 346)(155, 347)(156, 348)(157, 349)(158, 350)(159, 351)(160, 352)(161, 353)(162, 354)(163, 355)(164, 356)(165, 357)(166, 358)(167, 359)(168, 360)(169, 361)(170, 362)(171, 363)(172, 364)(173, 365)(174, 366)(175, 367)(176, 368)(177, 369)(178, 370)(179, 371)(180, 372)(181, 373)(182, 374)(183, 375)(184, 376)(185, 377)(186, 378)(187, 379)(188, 380)(189, 381)(190, 382)(191, 383)(192, 384)
	local type(s) :: { ( 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E13.1368
Graph:: simple bipartite
	v = 96 e = 192 f = 72
	degree seq :: [ 4^96 ]

E13.1363 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 4})
Quotient :: dipole
Aut^+ = (C2 x C4 x S3) : C2 (small group id <96, 102>)
Aut   = $<192, 1168>$ (small group id <192, 1168>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, (Y3 * Y2)^2, (R * Y1)^2, (R * Y3)^2, Y3^4, (R * Y2 * Y3^-1)^2, (Y3^-2 * Y1)^2, (Y3 * Y1)^4, (Y3 * Y1 * Y2 * Y1)^2, Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y3^-2 * 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, 38, 134)(29, 125, 39, 135)(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, 60, 156)(47, 143, 59, 155)(48, 144, 62, 158)(49, 145, 57, 153)(50, 146, 56, 152)(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, 83, 179)(68, 164, 82, 178)(69, 165, 85, 181)(73, 169, 88, 184)(75, 171, 91, 187)(76, 172, 90, 186)(78, 174, 89, 185)(79, 175, 92, 188)(81, 177, 86, 182)(84, 180, 87, 183)(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, 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, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E13.1369
Graph:: simple bipartite
	v = 96 e = 192 f = 72
	degree seq :: [ 4^96 ]

E13.1364 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 4})
Quotient :: dipole
Aut^+ = (C2 x C4 x S3) : C2 (small group id <96, 102>)
Aut   = $<192, 1212>$ (small group id <192, 1212>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^4, (Y2 * Y3^-1)^2, (R * Y3)^2, (R * Y1)^2, (Y3^-2 * Y1)^2, (R * Y2 * Y3^-1)^2, (Y3 * Y1)^4, (Y2 * Y1 * Y3^-1 * Y1)^2, Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y3 * Y1 * Y3 * Y2 * Y1 * Y2 * Y1 ]
Map:: polytopal non-degenerate
	R = (1, 97, 2, 98)(3, 99, 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, 38, 134)(29, 125, 39, 135)(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, 60, 156)(47, 143, 59, 155)(48, 144, 62, 158)(49, 145, 57, 153)(50, 146, 56, 152)(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, 83, 179)(68, 164, 82, 178)(69, 165, 85, 181)(73, 169, 88, 184)(75, 171, 91, 187)(76, 172, 90, 186)(78, 174, 87, 183)(79, 175, 86, 182)(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, 282, 378)(272, 368, 285, 381)(274, 370, 277, 373)(275, 371, 286, 382)(280, 376, 287, 383)(283, 379, 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, 281)(78, 285)(79, 253)(80, 255)(81, 286)(82, 258)(83, 256)(84, 277)(85, 273)(86, 287)(87, 261)(88, 263)(89, 288)(90, 266)(91, 264)(92, 269)(93, 271)(94, 276)(95, 279)(96, 284)(97, 289)(98, 290)(99, 291)(100, 292)(101, 293)(102, 294)(103, 295)(104, 296)(105, 297)(106, 298)(107, 299)(108, 300)(109, 301)(110, 302)(111, 303)(112, 304)(113, 305)(114, 306)(115, 307)(116, 308)(117, 309)(118, 310)(119, 311)(120, 312)(121, 313)(122, 314)(123, 315)(124, 316)(125, 317)(126, 318)(127, 319)(128, 320)(129, 321)(130, 322)(131, 323)(132, 324)(133, 325)(134, 326)(135, 327)(136, 328)(137, 329)(138, 330)(139, 331)(140, 332)(141, 333)(142, 334)(143, 335)(144, 336)(145, 337)(146, 338)(147, 339)(148, 340)(149, 341)(150, 342)(151, 343)(152, 344)(153, 345)(154, 346)(155, 347)(156, 348)(157, 349)(158, 350)(159, 351)(160, 352)(161, 353)(162, 354)(163, 355)(164, 356)(165, 357)(166, 358)(167, 359)(168, 360)(169, 361)(170, 362)(171, 363)(172, 364)(173, 365)(174, 366)(175, 367)(176, 368)(177, 369)(178, 370)(179, 371)(180, 372)(181, 373)(182, 374)(183, 375)(184, 376)(185, 377)(186, 378)(187, 379)(188, 380)(189, 381)(190, 382)(191, 383)(192, 384)
	local type(s) :: { ( 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E13.1370
Graph:: simple bipartite
	v = 96 e = 192 f = 72
	degree seq :: [ 4^96 ]

E13.1365 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 4})
Quotient :: dipole
Aut^+ = (C2 x C2 x C2 x S3) : C2 (small group id <96, 89>)
Aut   = $<192, 1046>$ (small group id <192, 1046>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, (R * Y2)^2, (Y3 * Y1^-1)^2, (Y3 * Y2)^2, (R * Y1)^2, Y1^4, (R * Y3)^2, (Y1^-1 * Y2 * Y1^-1)^2, Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 97, 2, 98, 6, 102, 5, 101)(3, 99, 9, 105, 14, 110, 11, 107)(4, 100, 12, 108, 15, 111, 8, 104)(7, 103, 16, 112, 13, 109, 18, 114)(10, 106, 21, 117, 24, 120, 20, 116)(17, 113, 27, 123, 23, 119, 26, 122)(19, 115, 29, 125, 22, 118, 31, 127)(25, 121, 33, 129, 28, 124, 35, 131)(30, 126, 39, 135, 32, 128, 38, 134)(34, 130, 43, 139, 36, 132, 42, 138)(37, 133, 45, 141, 40, 136, 47, 143)(41, 137, 49, 145, 44, 140, 51, 147)(46, 142, 55, 151, 48, 144, 54, 150)(50, 146, 59, 155, 52, 148, 58, 154)(53, 149, 61, 157, 56, 152, 63, 159)(57, 153, 65, 161, 60, 156, 67, 163)(62, 158, 71, 167, 64, 160, 70, 166)(66, 162, 75, 171, 68, 164, 74, 170)(69, 165, 77, 173, 72, 168, 79, 175)(73, 169, 81, 177, 76, 172, 83, 179)(78, 174, 87, 183, 80, 176, 86, 182)(82, 178, 91, 187, 84, 180, 90, 186)(85, 181, 89, 185, 88, 184, 92, 188)(93, 189, 96, 192, 94, 190, 95, 191)(193, 289, 195, 291)(194, 290, 199, 295)(196, 292, 202, 298)(197, 293, 205, 301)(198, 294, 206, 302)(200, 296, 209, 305)(201, 297, 211, 307)(203, 299, 214, 310)(204, 300, 215, 311)(207, 303, 216, 312)(208, 304, 217, 313)(210, 306, 220, 316)(212, 308, 222, 318)(213, 309, 224, 320)(218, 314, 226, 322)(219, 315, 228, 324)(221, 317, 229, 325)(223, 319, 232, 328)(225, 321, 233, 329)(227, 323, 236, 332)(230, 326, 238, 334)(231, 327, 240, 336)(234, 330, 242, 338)(235, 331, 244, 340)(237, 333, 245, 341)(239, 335, 248, 344)(241, 337, 249, 345)(243, 339, 252, 348)(246, 342, 254, 350)(247, 343, 256, 352)(250, 346, 258, 354)(251, 347, 260, 356)(253, 349, 261, 357)(255, 351, 264, 360)(257, 353, 265, 361)(259, 355, 268, 364)(262, 358, 270, 366)(263, 359, 272, 368)(266, 362, 274, 370)(267, 363, 276, 372)(269, 365, 277, 373)(271, 367, 280, 376)(273, 369, 281, 377)(275, 371, 284, 380)(278, 374, 285, 381)(279, 375, 286, 382)(282, 378, 287, 383)(283, 379, 288, 384)
	L = (1, 196)(2, 200)(3, 202)(4, 193)(5, 204)(6, 207)(7, 209)(8, 194)(9, 212)(10, 195)(11, 213)(12, 197)(13, 215)(14, 216)(15, 198)(16, 218)(17, 199)(18, 219)(19, 222)(20, 201)(21, 203)(22, 224)(23, 205)(24, 206)(25, 226)(26, 208)(27, 210)(28, 228)(29, 230)(30, 211)(31, 231)(32, 214)(33, 234)(34, 217)(35, 235)(36, 220)(37, 238)(38, 221)(39, 223)(40, 240)(41, 242)(42, 225)(43, 227)(44, 244)(45, 246)(46, 229)(47, 247)(48, 232)(49, 250)(50, 233)(51, 251)(52, 236)(53, 254)(54, 237)(55, 239)(56, 256)(57, 258)(58, 241)(59, 243)(60, 260)(61, 262)(62, 245)(63, 263)(64, 248)(65, 266)(66, 249)(67, 267)(68, 252)(69, 270)(70, 253)(71, 255)(72, 272)(73, 274)(74, 257)(75, 259)(76, 276)(77, 278)(78, 261)(79, 279)(80, 264)(81, 282)(82, 265)(83, 283)(84, 268)(85, 285)(86, 269)(87, 271)(88, 286)(89, 287)(90, 273)(91, 275)(92, 288)(93, 277)(94, 280)(95, 281)(96, 284)(97, 289)(98, 290)(99, 291)(100, 292)(101, 293)(102, 294)(103, 295)(104, 296)(105, 297)(106, 298)(107, 299)(108, 300)(109, 301)(110, 302)(111, 303)(112, 304)(113, 305)(114, 306)(115, 307)(116, 308)(117, 309)(118, 310)(119, 311)(120, 312)(121, 313)(122, 314)(123, 315)(124, 316)(125, 317)(126, 318)(127, 319)(128, 320)(129, 321)(130, 322)(131, 323)(132, 324)(133, 325)(134, 326)(135, 327)(136, 328)(137, 329)(138, 330)(139, 331)(140, 332)(141, 333)(142, 334)(143, 335)(144, 336)(145, 337)(146, 338)(147, 339)(148, 340)(149, 341)(150, 342)(151, 343)(152, 344)(153, 345)(154, 346)(155, 347)(156, 348)(157, 349)(158, 350)(159, 351)(160, 352)(161, 353)(162, 354)(163, 355)(164, 356)(165, 357)(166, 358)(167, 359)(168, 360)(169, 361)(170, 362)(171, 363)(172, 364)(173, 365)(174, 366)(175, 367)(176, 368)(177, 369)(178, 370)(179, 371)(180, 372)(181, 373)(182, 374)(183, 375)(184, 376)(185, 377)(186, 378)(187, 379)(188, 380)(189, 381)(190, 382)(191, 383)(192, 384)
	local type(s) :: { ( 4^4 ), ( 4^8 ) }
Outer automorphisms :: reflexible
Dual of E13.1359
Graph:: simple bipartite
	v = 72 e = 192 f = 96
	degree seq :: [ 4^48, 8^24 ]

E13.1366 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 4})
Quotient :: dipole
Aut^+ = (C2 x C4 x S3) : C2 (small group id <96, 102>)
Aut   = $<192, 1108>$ (small group id <192, 1108>)
|r| :: 2
Presentation :: [ Y2^2, R^2, Y1^-1 * Y3^2 * Y1^-1, (Y1^-1 * Y3^-1)^2, Y3^2 * Y1^2, (R * Y3)^2, (Y3 * Y2)^2, (R * Y1)^2, (Y3^-1, Y1^-1), 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^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 97, 2, 98, 7, 103, 5, 101)(3, 99, 11, 107, 16, 112, 13, 109)(4, 100, 9, 105, 6, 102, 10, 106)(8, 104, 17, 113, 15, 111, 19, 115)(12, 108, 22, 118, 14, 110, 23, 119)(18, 114, 26, 122, 20, 116, 27, 123)(21, 117, 29, 125, 24, 120, 31, 127)(25, 121, 33, 129, 28, 124, 35, 131)(30, 126, 38, 134, 32, 128, 39, 135)(34, 130, 42, 138, 36, 132, 43, 139)(37, 133, 45, 141, 40, 136, 47, 143)(41, 137, 49, 145, 44, 140, 51, 147)(46, 142, 54, 150, 48, 144, 55, 151)(50, 146, 58, 154, 52, 148, 59, 155)(53, 149, 61, 157, 56, 152, 63, 159)(57, 153, 65, 161, 60, 156, 67, 163)(62, 158, 70, 166, 64, 160, 71, 167)(66, 162, 74, 170, 68, 164, 75, 171)(69, 165, 77, 173, 72, 168, 79, 175)(73, 169, 81, 177, 76, 172, 83, 179)(78, 174, 86, 182, 80, 176, 87, 183)(82, 178, 90, 186, 84, 180, 91, 187)(85, 181, 89, 185, 88, 184, 92, 188)(93, 189, 95, 191, 94, 190, 96, 192)(193, 289, 195, 291)(194, 290, 200, 296)(196, 292, 206, 302)(197, 293, 207, 303)(198, 294, 204, 300)(199, 295, 208, 304)(201, 297, 212, 308)(202, 298, 210, 306)(203, 299, 213, 309)(205, 301, 216, 312)(209, 305, 217, 313)(211, 307, 220, 316)(214, 310, 224, 320)(215, 311, 222, 318)(218, 314, 228, 324)(219, 315, 226, 322)(221, 317, 229, 325)(223, 319, 232, 328)(225, 321, 233, 329)(227, 323, 236, 332)(230, 326, 240, 336)(231, 327, 238, 334)(234, 330, 244, 340)(235, 331, 242, 338)(237, 333, 245, 341)(239, 335, 248, 344)(241, 337, 249, 345)(243, 339, 252, 348)(246, 342, 256, 352)(247, 343, 254, 350)(250, 346, 260, 356)(251, 347, 258, 354)(253, 349, 261, 357)(255, 351, 264, 360)(257, 353, 265, 361)(259, 355, 268, 364)(262, 358, 272, 368)(263, 359, 270, 366)(266, 362, 276, 372)(267, 363, 274, 370)(269, 365, 277, 373)(271, 367, 280, 376)(273, 369, 281, 377)(275, 371, 284, 380)(278, 374, 286, 382)(279, 375, 285, 381)(282, 378, 288, 384)(283, 379, 287, 383)
	L = (1, 196)(2, 201)(3, 204)(4, 199)(5, 202)(6, 193)(7, 198)(8, 210)(9, 197)(10, 194)(11, 214)(12, 208)(13, 215)(14, 195)(15, 212)(16, 206)(17, 218)(18, 207)(19, 219)(20, 200)(21, 222)(22, 205)(23, 203)(24, 224)(25, 226)(26, 211)(27, 209)(28, 228)(29, 230)(30, 216)(31, 231)(32, 213)(33, 234)(34, 220)(35, 235)(36, 217)(37, 238)(38, 223)(39, 221)(40, 240)(41, 242)(42, 227)(43, 225)(44, 244)(45, 246)(46, 232)(47, 247)(48, 229)(49, 250)(50, 236)(51, 251)(52, 233)(53, 254)(54, 239)(55, 237)(56, 256)(57, 258)(58, 243)(59, 241)(60, 260)(61, 262)(62, 248)(63, 263)(64, 245)(65, 266)(66, 252)(67, 267)(68, 249)(69, 270)(70, 255)(71, 253)(72, 272)(73, 274)(74, 259)(75, 257)(76, 276)(77, 278)(78, 264)(79, 279)(80, 261)(81, 282)(82, 268)(83, 283)(84, 265)(85, 285)(86, 271)(87, 269)(88, 286)(89, 287)(90, 275)(91, 273)(92, 288)(93, 280)(94, 277)(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) :: { ( 4^4 ), ( 4^8 ) }
Outer automorphisms :: reflexible
Dual of E13.1360
Graph:: simple bipartite
	v = 72 e = 192 f = 96
	degree seq :: [ 4^48, 8^24 ]

E13.1367 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 4})
Quotient :: dipole
Aut^+ = (C2 x C2 x C2 x S3) : C2 (small group id <96, 89>)
Aut   = $<192, 1147>$ (small group id <192, 1147>)
|r| :: 2
Presentation :: [ Y2^2, R^2, Y1^4, (R * Y1)^2, (R * Y3)^2, (Y3 * Y1^-1)^2, Y3^4, (Y3 * Y2)^2, (Y3^-1 * Y1^-1)^2, Y1 * Y2 * Y1^-2 * Y2 * Y1, (R * Y2 * Y3^-1)^2, Y3^-2 * Y1 * Y2 * Y3^2 * Y2 * Y1^-1, Y2 * Y1 * Y2 * Y1 * Y2 * Y1^-1 * Y3 * Y2 * Y3^-1 * Y1^-1 * Y2 * Y1 * Y2 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 97, 2, 98, 7, 103, 5, 101)(3, 99, 11, 107, 19, 115, 13, 109)(4, 100, 15, 111, 20, 116, 10, 106)(6, 102, 18, 114, 21, 117, 9, 105)(8, 104, 22, 118, 17, 113, 24, 120)(12, 108, 30, 126, 37, 133, 29, 125)(14, 110, 33, 129, 38, 134, 28, 124)(16, 112, 26, 122, 39, 135, 35, 131)(23, 119, 43, 139, 34, 130, 42, 138)(25, 121, 46, 142, 36, 132, 41, 137)(27, 123, 47, 143, 32, 128, 49, 145)(31, 127, 51, 147, 56, 152, 53, 149)(40, 136, 57, 153, 45, 141, 59, 155)(44, 140, 61, 157, 55, 151, 63, 159)(48, 144, 68, 164, 52, 148, 67, 163)(50, 146, 71, 167, 54, 150, 66, 162)(58, 154, 76, 172, 62, 158, 75, 171)(60, 156, 79, 175, 64, 160, 74, 170)(65, 161, 81, 177, 70, 166, 83, 179)(69, 165, 85, 181, 72, 168, 87, 183)(73, 169, 89, 185, 78, 174, 91, 187)(77, 173, 93, 189, 80, 176, 95, 191)(82, 178, 94, 190, 86, 182, 90, 186)(84, 180, 96, 192, 88, 184, 92, 188)(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, 217, 313)(202, 298, 215, 311)(203, 299, 219, 315)(205, 301, 224, 320)(207, 303, 226, 322)(208, 304, 223, 319)(210, 306, 228, 324)(212, 308, 230, 326)(213, 309, 229, 325)(214, 310, 232, 328)(216, 312, 237, 333)(218, 314, 236, 332)(220, 316, 242, 338)(221, 317, 240, 336)(222, 318, 244, 340)(225, 321, 246, 342)(227, 323, 247, 343)(231, 327, 248, 344)(233, 329, 252, 348)(234, 330, 250, 346)(235, 331, 254, 350)(238, 334, 256, 352)(239, 335, 257, 353)(241, 337, 262, 358)(243, 339, 261, 357)(245, 341, 264, 360)(249, 345, 265, 361)(251, 347, 270, 366)(253, 349, 269, 365)(255, 351, 272, 368)(258, 354, 276, 372)(259, 355, 274, 370)(260, 356, 278, 374)(263, 359, 280, 376)(266, 362, 284, 380)(267, 363, 282, 378)(268, 364, 286, 382)(271, 367, 288, 384)(273, 369, 285, 381)(275, 371, 287, 383)(277, 373, 283, 379)(279, 375, 281, 377)
	L = (1, 196)(2, 201)(3, 204)(4, 208)(5, 210)(6, 193)(7, 212)(8, 215)(9, 218)(10, 194)(11, 220)(12, 223)(13, 225)(14, 195)(15, 197)(16, 198)(17, 226)(18, 227)(19, 229)(20, 231)(21, 199)(22, 233)(23, 236)(24, 238)(25, 200)(26, 202)(27, 240)(28, 243)(29, 203)(30, 205)(31, 206)(32, 244)(33, 245)(34, 247)(35, 207)(36, 209)(37, 248)(38, 211)(39, 213)(40, 250)(41, 253)(42, 214)(43, 216)(44, 217)(45, 254)(46, 255)(47, 258)(48, 261)(49, 263)(50, 219)(51, 221)(52, 264)(53, 222)(54, 224)(55, 228)(56, 230)(57, 266)(58, 269)(59, 271)(60, 232)(61, 234)(62, 272)(63, 235)(64, 237)(65, 274)(66, 277)(67, 239)(68, 241)(69, 242)(70, 278)(71, 279)(72, 246)(73, 282)(74, 285)(75, 249)(76, 251)(77, 252)(78, 286)(79, 287)(80, 256)(81, 284)(82, 283)(83, 288)(84, 257)(85, 259)(86, 281)(87, 260)(88, 262)(89, 280)(90, 273)(91, 276)(92, 265)(93, 267)(94, 275)(95, 268)(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) :: { ( 4^4 ), ( 4^8 ) }
Outer automorphisms :: reflexible
Dual of E13.1361
Graph:: simple bipartite
	v = 72 e = 192 f = 96
	degree seq :: [ 4^48, 8^24 ]

E13.1368 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 4})
Quotient :: dipole
Aut^+ = (C2 x C2 x C2 x S3) : C2 (small group id <96, 89>)
Aut   = $<192, 1168>$ (small group id <192, 1168>)
|r| :: 2
Presentation :: [ Y2^2, R^2, Y1^4, (Y3^-1 * Y1^-1)^2, (Y3 * Y2)^2, (Y3 * Y1^-1)^2, (R * Y1)^2, (R * Y3)^2, Y3^4, Y1 * Y2 * Y1^-2 * Y2 * Y1, (R * Y2 * Y3^-1)^2, Y2 * Y1 * Y2 * Y1 * Y2 * Y1^-1 * Y2 * Y1 * Y2 * Y1^-1 * Y2 * Y1 ]
Map:: polytopal non-degenerate
	R = (1, 97, 2, 98, 7, 103, 5, 101)(3, 99, 11, 107, 19, 115, 13, 109)(4, 100, 15, 111, 20, 116, 10, 106)(6, 102, 18, 114, 21, 117, 9, 105)(8, 104, 22, 118, 17, 113, 24, 120)(12, 108, 30, 126, 37, 133, 29, 125)(14, 110, 33, 129, 38, 134, 28, 124)(16, 112, 26, 122, 39, 135, 35, 131)(23, 119, 43, 139, 34, 130, 42, 138)(25, 121, 46, 142, 36, 132, 41, 137)(27, 123, 47, 143, 32, 128, 49, 145)(31, 127, 51, 147, 56, 152, 53, 149)(40, 136, 57, 153, 45, 141, 59, 155)(44, 140, 61, 157, 55, 151, 63, 159)(48, 144, 68, 164, 52, 148, 67, 163)(50, 146, 71, 167, 54, 150, 66, 162)(58, 154, 76, 172, 62, 158, 75, 171)(60, 156, 79, 175, 64, 160, 74, 170)(65, 161, 78, 174, 70, 166, 73, 169)(69, 165, 83, 179, 72, 168, 85, 181)(77, 173, 89, 185, 80, 176, 91, 187)(81, 177, 88, 184, 84, 180, 92, 188)(82, 178, 87, 183, 86, 182, 90, 186)(93, 189, 96, 192, 94, 190, 95, 191)(193, 289, 195, 291)(194, 290, 200, 296)(196, 292, 206, 302)(197, 293, 209, 305)(198, 294, 204, 300)(199, 295, 211, 307)(201, 297, 217, 313)(202, 298, 215, 311)(203, 299, 219, 315)(205, 301, 224, 320)(207, 303, 226, 322)(208, 304, 223, 319)(210, 306, 228, 324)(212, 308, 230, 326)(213, 309, 229, 325)(214, 310, 232, 328)(216, 312, 237, 333)(218, 314, 236, 332)(220, 316, 242, 338)(221, 317, 240, 336)(222, 318, 244, 340)(225, 321, 246, 342)(227, 323, 247, 343)(231, 327, 248, 344)(233, 329, 252, 348)(234, 330, 250, 346)(235, 331, 254, 350)(238, 334, 256, 352)(239, 335, 257, 353)(241, 337, 262, 358)(243, 339, 261, 357)(245, 341, 264, 360)(249, 345, 265, 361)(251, 347, 270, 366)(253, 349, 269, 365)(255, 351, 272, 368)(258, 354, 274, 370)(259, 355, 273, 369)(260, 356, 276, 372)(263, 359, 278, 374)(266, 362, 280, 376)(267, 363, 279, 375)(268, 364, 282, 378)(271, 367, 284, 380)(275, 371, 285, 381)(277, 373, 286, 382)(281, 377, 287, 383)(283, 379, 288, 384)
	L = (1, 196)(2, 201)(3, 204)(4, 208)(5, 210)(6, 193)(7, 212)(8, 215)(9, 218)(10, 194)(11, 220)(12, 223)(13, 225)(14, 195)(15, 197)(16, 198)(17, 226)(18, 227)(19, 229)(20, 231)(21, 199)(22, 233)(23, 236)(24, 238)(25, 200)(26, 202)(27, 240)(28, 243)(29, 203)(30, 205)(31, 206)(32, 244)(33, 245)(34, 247)(35, 207)(36, 209)(37, 248)(38, 211)(39, 213)(40, 250)(41, 253)(42, 214)(43, 216)(44, 217)(45, 254)(46, 255)(47, 258)(48, 261)(49, 263)(50, 219)(51, 221)(52, 264)(53, 222)(54, 224)(55, 228)(56, 230)(57, 266)(58, 269)(59, 271)(60, 232)(61, 234)(62, 272)(63, 235)(64, 237)(65, 273)(66, 275)(67, 239)(68, 241)(69, 242)(70, 276)(71, 277)(72, 246)(73, 279)(74, 281)(75, 249)(76, 251)(77, 252)(78, 282)(79, 283)(80, 256)(81, 285)(82, 257)(83, 259)(84, 286)(85, 260)(86, 262)(87, 287)(88, 265)(89, 267)(90, 288)(91, 268)(92, 270)(93, 274)(94, 278)(95, 280)(96, 284)(97, 289)(98, 290)(99, 291)(100, 292)(101, 293)(102, 294)(103, 295)(104, 296)(105, 297)(106, 298)(107, 299)(108, 300)(109, 301)(110, 302)(111, 303)(112, 304)(113, 305)(114, 306)(115, 307)(116, 308)(117, 309)(118, 310)(119, 311)(120, 312)(121, 313)(122, 314)(123, 315)(124, 316)(125, 317)(126, 318)(127, 319)(128, 320)(129, 321)(130, 322)(131, 323)(132, 324)(133, 325)(134, 326)(135, 327)(136, 328)(137, 329)(138, 330)(139, 331)(140, 332)(141, 333)(142, 334)(143, 335)(144, 336)(145, 337)(146, 338)(147, 339)(148, 340)(149, 341)(150, 342)(151, 343)(152, 344)(153, 345)(154, 346)(155, 347)(156, 348)(157, 349)(158, 350)(159, 351)(160, 352)(161, 353)(162, 354)(163, 355)(164, 356)(165, 357)(166, 358)(167, 359)(168, 360)(169, 361)(170, 362)(171, 363)(172, 364)(173, 365)(174, 366)(175, 367)(176, 368)(177, 369)(178, 370)(179, 371)(180, 372)(181, 373)(182, 374)(183, 375)(184, 376)(185, 377)(186, 378)(187, 379)(188, 380)(189, 381)(190, 382)(191, 383)(192, 384)
	local type(s) :: { ( 4^4 ), ( 4^8 ) }
Outer automorphisms :: reflexible
Dual of E13.1362
Graph:: simple bipartite
	v = 72 e = 192 f = 96
	degree seq :: [ 4^48, 8^24 ]

E13.1369 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 4})
Quotient :: dipole
Aut^+ = (C2 x C4 x S3) : C2 (small group id <96, 102>)
Aut   = $<192, 1168>$ (small group id <192, 1168>)
|r| :: 2
Presentation :: [ Y2^2, R^2, Y1^4, (Y3^-1 * Y1^-1)^2, (Y3 * Y1^-1)^2, (R * Y3)^2, Y3^4, (Y3 * Y2)^2, (R * Y1)^2, Y1 * Y2 * Y1^-2 * Y2 * Y1, (R * Y2 * Y3^-1)^2, Y2 * Y3^-2 * Y2 * Y1^-1 * Y3 * Y1 * Y3^-1 * Y1^-2, Y2 * Y1 * Y2 * Y1 * Y2 * Y1^-1 * Y3^-1 * Y2 * Y1^-1 * Y3^-1 * Y2 * Y1 * Y2 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 97, 2, 98, 7, 103, 5, 101)(3, 99, 11, 107, 19, 115, 13, 109)(4, 100, 15, 111, 20, 116, 10, 106)(6, 102, 18, 114, 21, 117, 9, 105)(8, 104, 22, 118, 17, 113, 24, 120)(12, 108, 30, 126, 37, 133, 29, 125)(14, 110, 33, 129, 38, 134, 28, 124)(16, 112, 26, 122, 39, 135, 35, 131)(23, 119, 43, 139, 34, 130, 42, 138)(25, 121, 46, 142, 36, 132, 41, 137)(27, 123, 47, 143, 32, 128, 49, 145)(31, 127, 51, 147, 56, 152, 53, 149)(40, 136, 57, 153, 45, 141, 59, 155)(44, 140, 61, 157, 55, 151, 63, 159)(48, 144, 68, 164, 52, 148, 67, 163)(50, 146, 71, 167, 54, 150, 66, 162)(58, 154, 76, 172, 62, 158, 75, 171)(60, 156, 79, 175, 64, 160, 74, 170)(65, 161, 81, 177, 70, 166, 83, 179)(69, 165, 85, 181, 72, 168, 87, 183)(73, 169, 89, 185, 78, 174, 91, 187)(77, 173, 93, 189, 80, 176, 95, 191)(82, 178, 90, 186, 86, 182, 94, 190)(84, 180, 92, 188, 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, 211, 307)(201, 297, 217, 313)(202, 298, 215, 311)(203, 299, 219, 315)(205, 301, 224, 320)(207, 303, 226, 322)(208, 304, 223, 319)(210, 306, 228, 324)(212, 308, 230, 326)(213, 309, 229, 325)(214, 310, 232, 328)(216, 312, 237, 333)(218, 314, 236, 332)(220, 316, 242, 338)(221, 317, 240, 336)(222, 318, 244, 340)(225, 321, 246, 342)(227, 323, 247, 343)(231, 327, 248, 344)(233, 329, 252, 348)(234, 330, 250, 346)(235, 331, 254, 350)(238, 334, 256, 352)(239, 335, 257, 353)(241, 337, 262, 358)(243, 339, 261, 357)(245, 341, 264, 360)(249, 345, 265, 361)(251, 347, 270, 366)(253, 349, 269, 365)(255, 351, 272, 368)(258, 354, 276, 372)(259, 355, 274, 370)(260, 356, 278, 374)(263, 359, 280, 376)(266, 362, 284, 380)(267, 363, 282, 378)(268, 364, 286, 382)(271, 367, 288, 384)(273, 369, 287, 383)(275, 371, 285, 381)(277, 373, 281, 377)(279, 375, 283, 379)
	L = (1, 196)(2, 201)(3, 204)(4, 208)(5, 210)(6, 193)(7, 212)(8, 215)(9, 218)(10, 194)(11, 220)(12, 223)(13, 225)(14, 195)(15, 197)(16, 198)(17, 226)(18, 227)(19, 229)(20, 231)(21, 199)(22, 233)(23, 236)(24, 238)(25, 200)(26, 202)(27, 240)(28, 243)(29, 203)(30, 205)(31, 206)(32, 244)(33, 245)(34, 247)(35, 207)(36, 209)(37, 248)(38, 211)(39, 213)(40, 250)(41, 253)(42, 214)(43, 216)(44, 217)(45, 254)(46, 255)(47, 258)(48, 261)(49, 263)(50, 219)(51, 221)(52, 264)(53, 222)(54, 224)(55, 228)(56, 230)(57, 266)(58, 269)(59, 271)(60, 232)(61, 234)(62, 272)(63, 235)(64, 237)(65, 274)(66, 277)(67, 239)(68, 241)(69, 242)(70, 278)(71, 279)(72, 246)(73, 282)(74, 285)(75, 249)(76, 251)(77, 252)(78, 286)(79, 287)(80, 256)(81, 288)(82, 281)(83, 284)(84, 257)(85, 259)(86, 283)(87, 260)(88, 262)(89, 276)(90, 275)(91, 280)(92, 265)(93, 267)(94, 273)(95, 268)(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) :: { ( 4^4 ), ( 4^8 ) }
Outer automorphisms :: reflexible
Dual of E13.1363
Graph:: simple bipartite
	v = 72 e = 192 f = 96
	degree seq :: [ 4^48, 8^24 ]

E13.1370 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 4})
Quotient :: dipole
Aut^+ = (C2 x C4 x S3) : C2 (small group id <96, 102>)
Aut   = $<192, 1212>$ (small group id <192, 1212>)
|r| :: 2
Presentation :: [ Y2^2, R^2, Y1^4, (R * Y1)^2, (R * Y3)^2, (Y3 * Y2)^2, Y3^4, (Y3^-1 * Y1^-1)^2, (Y3 * Y1^-1)^2, (R * Y2 * Y3^-1)^2, Y1 * Y2 * Y1^-2 * Y2 * Y1, Y2 * Y1 * Y2 * Y1^-1 * Y2 * Y1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1 ]
Map:: polytopal non-degenerate
	R = (1, 97, 2, 98, 7, 103, 5, 101)(3, 99, 11, 107, 19, 115, 13, 109)(4, 100, 15, 111, 20, 116, 10, 106)(6, 102, 18, 114, 21, 117, 9, 105)(8, 104, 22, 118, 17, 113, 24, 120)(12, 108, 30, 126, 37, 133, 29, 125)(14, 110, 33, 129, 38, 134, 28, 124)(16, 112, 26, 122, 39, 135, 35, 131)(23, 119, 43, 139, 34, 130, 42, 138)(25, 121, 46, 142, 36, 132, 41, 137)(27, 123, 47, 143, 32, 128, 49, 145)(31, 127, 51, 147, 56, 152, 53, 149)(40, 136, 57, 153, 45, 141, 59, 155)(44, 140, 61, 157, 55, 151, 63, 159)(48, 144, 68, 164, 52, 148, 67, 163)(50, 146, 71, 167, 54, 150, 66, 162)(58, 154, 76, 172, 62, 158, 75, 171)(60, 156, 79, 175, 64, 160, 74, 170)(65, 161, 73, 169, 70, 166, 78, 174)(69, 165, 83, 179, 72, 168, 85, 181)(77, 173, 89, 185, 80, 176, 91, 187)(81, 177, 92, 188, 84, 180, 88, 184)(82, 178, 90, 186, 86, 182, 87, 183)(93, 189, 95, 191, 94, 190, 96, 192)(193, 289, 195, 291)(194, 290, 200, 296)(196, 292, 206, 302)(197, 293, 209, 305)(198, 294, 204, 300)(199, 295, 211, 307)(201, 297, 217, 313)(202, 298, 215, 311)(203, 299, 219, 315)(205, 301, 224, 320)(207, 303, 226, 322)(208, 304, 223, 319)(210, 306, 228, 324)(212, 308, 230, 326)(213, 309, 229, 325)(214, 310, 232, 328)(216, 312, 237, 333)(218, 314, 236, 332)(220, 316, 242, 338)(221, 317, 240, 336)(222, 318, 244, 340)(225, 321, 246, 342)(227, 323, 247, 343)(231, 327, 248, 344)(233, 329, 252, 348)(234, 330, 250, 346)(235, 331, 254, 350)(238, 334, 256, 352)(239, 335, 257, 353)(241, 337, 262, 358)(243, 339, 261, 357)(245, 341, 264, 360)(249, 345, 265, 361)(251, 347, 270, 366)(253, 349, 269, 365)(255, 351, 272, 368)(258, 354, 274, 370)(259, 355, 273, 369)(260, 356, 276, 372)(263, 359, 278, 374)(266, 362, 280, 376)(267, 363, 279, 375)(268, 364, 282, 378)(271, 367, 284, 380)(275, 371, 285, 381)(277, 373, 286, 382)(281, 377, 287, 383)(283, 379, 288, 384)
	L = (1, 196)(2, 201)(3, 204)(4, 208)(5, 210)(6, 193)(7, 212)(8, 215)(9, 218)(10, 194)(11, 220)(12, 223)(13, 225)(14, 195)(15, 197)(16, 198)(17, 226)(18, 227)(19, 229)(20, 231)(21, 199)(22, 233)(23, 236)(24, 238)(25, 200)(26, 202)(27, 240)(28, 243)(29, 203)(30, 205)(31, 206)(32, 244)(33, 245)(34, 247)(35, 207)(36, 209)(37, 248)(38, 211)(39, 213)(40, 250)(41, 253)(42, 214)(43, 216)(44, 217)(45, 254)(46, 255)(47, 258)(48, 261)(49, 263)(50, 219)(51, 221)(52, 264)(53, 222)(54, 224)(55, 228)(56, 230)(57, 266)(58, 269)(59, 271)(60, 232)(61, 234)(62, 272)(63, 235)(64, 237)(65, 273)(66, 275)(67, 239)(68, 241)(69, 242)(70, 276)(71, 277)(72, 246)(73, 279)(74, 281)(75, 249)(76, 251)(77, 252)(78, 282)(79, 283)(80, 256)(81, 285)(82, 257)(83, 259)(84, 286)(85, 260)(86, 262)(87, 287)(88, 265)(89, 267)(90, 288)(91, 268)(92, 270)(93, 274)(94, 278)(95, 280)(96, 284)(97, 289)(98, 290)(99, 291)(100, 292)(101, 293)(102, 294)(103, 295)(104, 296)(105, 297)(106, 298)(107, 299)(108, 300)(109, 301)(110, 302)(111, 303)(112, 304)(113, 305)(114, 306)(115, 307)(116, 308)(117, 309)(118, 310)(119, 311)(120, 312)(121, 313)(122, 314)(123, 315)(124, 316)(125, 317)(126, 318)(127, 319)(128, 320)(129, 321)(130, 322)(131, 323)(132, 324)(133, 325)(134, 326)(135, 327)(136, 328)(137, 329)(138, 330)(139, 331)(140, 332)(141, 333)(142, 334)(143, 335)(144, 336)(145, 337)(146, 338)(147, 339)(148, 340)(149, 341)(150, 342)(151, 343)(152, 344)(153, 345)(154, 346)(155, 347)(156, 348)(157, 349)(158, 350)(159, 351)(160, 352)(161, 353)(162, 354)(163, 355)(164, 356)(165, 357)(166, 358)(167, 359)(168, 360)(169, 361)(170, 362)(171, 363)(172, 364)(173, 365)(174, 366)(175, 367)(176, 368)(177, 369)(178, 370)(179, 371)(180, 372)(181, 373)(182, 374)(183, 375)(184, 376)(185, 377)(186, 378)(187, 379)(188, 380)(189, 381)(190, 382)(191, 383)(192, 384)
	local type(s) :: { ( 4^4 ), ( 4^8 ) }
Outer automorphisms :: reflexible
Dual of E13.1364
Graph:: simple bipartite
	v = 72 e = 192 f = 96
	degree seq :: [ 4^48, 8^24 ]

E13.1371 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 2, 4})
Quotient :: halfedge^2
Aut^+ = (C2 x C4 x S3) : C2 (small group id <96, 102>)
Aut   = $<192, 332>$ (small group id <192, 332>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, Y3^2, R^2, R * Y3 * R * Y2, (R * Y1)^2, Y3 * Y2 * Y1 * Y2 * Y3 * Y1, (Y2 * Y3)^4, (Y3 * Y1)^12 ]
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, 127, 31, 116)(21, 128, 32, 117)(22, 129, 33, 118)(23, 131, 35, 119)(24, 132, 36, 120)(28, 130, 34, 124)(37, 143, 47, 133)(38, 144, 48, 134)(39, 145, 49, 135)(40, 146, 50, 136)(41, 147, 51, 137)(42, 148, 52, 138)(43, 149, 53, 139)(44, 150, 54, 140)(45, 151, 55, 141)(46, 152, 56, 142)(57, 161, 65, 153)(58, 162, 66, 154)(59, 163, 67, 155)(60, 164, 68, 156)(61, 165, 69, 157)(62, 166, 70, 158)(63, 167, 71, 159)(64, 168, 72, 160)(73, 177, 81, 169)(74, 178, 82, 170)(75, 179, 83, 171)(76, 180, 84, 172)(77, 181, 85, 173)(78, 182, 86, 174)(79, 183, 87, 175)(80, 184, 88, 176)(89, 189, 93, 185)(90, 190, 94, 186)(91, 191, 95, 187)(92, 192, 96, 188)
	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, 100)(98, 102)(99, 104)(101, 108)(103, 112)(105, 111)(106, 115)(107, 117)(109, 116)(110, 120)(113, 124)(114, 126)(118, 130)(119, 132)(121, 134)(122, 133)(123, 136)(125, 137)(127, 139)(128, 138)(129, 141)(131, 142)(135, 146)(140, 151)(143, 154)(144, 153)(145, 156)(147, 155)(148, 158)(149, 157)(150, 160)(152, 159)(161, 170)(162, 169)(163, 172)(164, 171)(165, 174)(166, 173)(167, 176)(168, 175)(177, 186)(178, 185)(179, 188)(180, 187)(181, 190)(182, 189)(183, 192)(184, 191)
	local type(s) :: { ( 8^4 ) }
Outer automorphisms :: reflexible
Dual of E13.1372
Transitivity :: VT+ AT
Graph:: simple bipartite
	v = 48 e = 96 f = 24
	degree seq :: [ 4^48 ]

E13.1372 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 2, 4})
Quotient :: halfedge^2
Aut^+ = (C2 x C4 x S3) : C2 (small group id <96, 102>)
Aut   = $<192, 332>$ (small group id <192, 332>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, R * Y3 * R * Y2, (R * Y1)^2, Y1^4, (Y1^-1 * Y2 * Y1^-1)^2, (Y1^-1 * Y3 * 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^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 98, 2, 102, 6, 101, 5, 97)(3, 105, 9, 113, 17, 107, 11, 99)(4, 108, 12, 114, 18, 110, 14, 100)(7, 115, 19, 111, 15, 117, 21, 103)(8, 118, 22, 112, 16, 120, 24, 104)(10, 116, 20, 109, 13, 119, 23, 106)(25, 129, 33, 123, 27, 130, 34, 121)(26, 131, 35, 124, 28, 132, 36, 122)(29, 133, 37, 127, 31, 134, 38, 125)(30, 135, 39, 128, 32, 136, 40, 126)(41, 145, 49, 139, 43, 146, 50, 137)(42, 147, 51, 140, 44, 148, 52, 138)(45, 149, 53, 143, 47, 150, 54, 141)(46, 151, 55, 144, 48, 152, 56, 142)(57, 161, 65, 155, 59, 162, 66, 153)(58, 163, 67, 156, 60, 164, 68, 154)(61, 165, 69, 159, 63, 166, 70, 157)(62, 167, 71, 160, 64, 168, 72, 158)(73, 177, 81, 171, 75, 178, 82, 169)(74, 179, 83, 172, 76, 180, 84, 170)(77, 181, 85, 175, 79, 182, 86, 173)(78, 183, 87, 176, 80, 184, 88, 174)(89, 189, 93, 187, 91, 191, 95, 185)(90, 190, 94, 188, 92, 192, 96, 186)
	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, 100)(98, 104)(99, 106)(101, 112)(102, 114)(103, 116)(105, 122)(107, 124)(108, 121)(109, 113)(110, 123)(111, 119)(115, 126)(117, 128)(118, 125)(120, 127)(129, 138)(130, 140)(131, 137)(132, 139)(133, 142)(134, 144)(135, 141)(136, 143)(145, 154)(146, 156)(147, 153)(148, 155)(149, 158)(150, 160)(151, 157)(152, 159)(161, 170)(162, 172)(163, 169)(164, 171)(165, 174)(166, 176)(167, 173)(168, 175)(177, 186)(178, 188)(179, 185)(180, 187)(181, 190)(182, 192)(183, 189)(184, 191)
	local type(s) :: { ( 4^8 ) }
Outer automorphisms :: reflexible
Dual of E13.1371
Transitivity :: VT+ AT
Graph:: bipartite
	v = 24 e = 96 f = 48
	degree seq :: [ 8^24 ]

E13.1373 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 2, 4})
Quotient :: edge^2
Aut^+ = (C2 x C4 x S3) : C2 (small group id <96, 102>)
Aut   = $<192, 332>$ (small group id <192, 332>)
|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)^12 ]
Map:: polytopal
	R = (1, 97, 4, 100)(2, 98, 6, 102)(3, 99, 8, 104)(5, 101, 12, 108)(7, 103, 16, 112)(9, 105, 18, 114)(10, 106, 19, 115)(11, 107, 21, 117)(13, 109, 23, 119)(14, 110, 24, 120)(15, 111, 25, 121)(17, 113, 27, 123)(20, 116, 31, 127)(22, 118, 33, 129)(26, 122, 37, 133)(28, 124, 39, 135)(29, 125, 40, 136)(30, 126, 41, 137)(32, 128, 42, 138)(34, 130, 44, 140)(35, 131, 45, 141)(36, 132, 46, 142)(38, 134, 47, 143)(43, 139, 52, 148)(48, 144, 57, 153)(49, 145, 58, 154)(50, 146, 59, 155)(51, 147, 60, 156)(53, 149, 61, 157)(54, 150, 62, 158)(55, 151, 63, 159)(56, 152, 64, 160)(65, 161, 73, 169)(66, 162, 74, 170)(67, 163, 75, 171)(68, 164, 76, 172)(69, 165, 77, 173)(70, 166, 78, 174)(71, 167, 79, 175)(72, 168, 80, 176)(81, 177, 89, 185)(82, 178, 90, 186)(83, 179, 91, 187)(84, 180, 92, 188)(85, 181, 93, 189)(86, 182, 94, 190)(87, 183, 95, 191)(88, 184, 96, 192)(193, 194)(195, 199)(196, 201)(197, 203)(198, 205)(200, 209)(202, 208)(204, 214)(206, 213)(207, 212)(210, 220)(211, 222)(215, 226)(216, 228)(217, 224)(218, 223)(219, 227)(221, 225)(229, 235)(230, 234)(231, 240)(232, 242)(233, 241)(236, 245)(237, 247)(238, 246)(239, 248)(243, 244)(249, 257)(250, 259)(251, 258)(252, 260)(253, 261)(254, 263)(255, 262)(256, 264)(265, 273)(266, 275)(267, 274)(268, 276)(269, 277)(270, 279)(271, 278)(272, 280)(281, 285)(282, 287)(283, 286)(284, 288)(289, 291)(290, 293)(292, 298)(294, 302)(295, 303)(296, 301)(297, 300)(299, 308)(304, 314)(305, 313)(306, 317)(307, 316)(309, 320)(310, 319)(311, 323)(312, 322)(315, 326)(318, 325)(321, 331)(324, 330)(327, 337)(328, 336)(329, 339)(332, 342)(333, 341)(334, 344)(335, 343)(338, 340)(345, 354)(346, 353)(347, 356)(348, 355)(349, 358)(350, 357)(351, 360)(352, 359)(361, 370)(362, 369)(363, 372)(364, 371)(365, 374)(366, 373)(367, 376)(368, 375)(377, 382)(378, 381)(379, 384)(380, 383)
	L = (1, 193)(2, 194)(3, 195)(4, 196)(5, 197)(6, 198)(7, 199)(8, 200)(9, 201)(10, 202)(11, 203)(12, 204)(13, 205)(14, 206)(15, 207)(16, 208)(17, 209)(18, 210)(19, 211)(20, 212)(21, 213)(22, 214)(23, 215)(24, 216)(25, 217)(26, 218)(27, 219)(28, 220)(29, 221)(30, 222)(31, 223)(32, 224)(33, 225)(34, 226)(35, 227)(36, 228)(37, 229)(38, 230)(39, 231)(40, 232)(41, 233)(42, 234)(43, 235)(44, 236)(45, 237)(46, 238)(47, 239)(48, 240)(49, 241)(50, 242)(51, 243)(52, 244)(53, 245)(54, 246)(55, 247)(56, 248)(57, 249)(58, 250)(59, 251)(60, 252)(61, 253)(62, 254)(63, 255)(64, 256)(65, 257)(66, 258)(67, 259)(68, 260)(69, 261)(70, 262)(71, 263)(72, 264)(73, 265)(74, 266)(75, 267)(76, 268)(77, 269)(78, 270)(79, 271)(80, 272)(81, 273)(82, 274)(83, 275)(84, 276)(85, 277)(86, 278)(87, 279)(88, 280)(89, 281)(90, 282)(91, 283)(92, 284)(93, 285)(94, 286)(95, 287)(96, 288)(97, 289)(98, 290)(99, 291)(100, 292)(101, 293)(102, 294)(103, 295)(104, 296)(105, 297)(106, 298)(107, 299)(108, 300)(109, 301)(110, 302)(111, 303)(112, 304)(113, 305)(114, 306)(115, 307)(116, 308)(117, 309)(118, 310)(119, 311)(120, 312)(121, 313)(122, 314)(123, 315)(124, 316)(125, 317)(126, 318)(127, 319)(128, 320)(129, 321)(130, 322)(131, 323)(132, 324)(133, 325)(134, 326)(135, 327)(136, 328)(137, 329)(138, 330)(139, 331)(140, 332)(141, 333)(142, 334)(143, 335)(144, 336)(145, 337)(146, 338)(147, 339)(148, 340)(149, 341)(150, 342)(151, 343)(152, 344)(153, 345)(154, 346)(155, 347)(156, 348)(157, 349)(158, 350)(159, 351)(160, 352)(161, 353)(162, 354)(163, 355)(164, 356)(165, 357)(166, 358)(167, 359)(168, 360)(169, 361)(170, 362)(171, 363)(172, 364)(173, 365)(174, 366)(175, 367)(176, 368)(177, 369)(178, 370)(179, 371)(180, 372)(181, 373)(182, 374)(183, 375)(184, 376)(185, 377)(186, 378)(187, 379)(188, 380)(189, 381)(190, 382)(191, 383)(192, 384)
	local type(s) :: { ( 16, 16 ), ( 16^4 ) }
Outer automorphisms :: reflexible
Dual of E13.1376
Graph:: simple bipartite
	v = 144 e = 192 f = 24
	degree seq :: [ 2^96, 4^48 ]

E13.1374 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 2, 4})
Quotient :: edge^2
Aut^+ = (C2 x C4 x S3) : C2 (small group id <96, 102>)
Aut   = $<192, 332>$ (small group id <192, 332>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, (R * Y3)^2, R * Y1 * R * Y2, Y3^4, (Y3^-1 * Y1 * Y3^-1)^2, Y2 * Y3^-1 * Y2 * Y1 * Y3 * Y1, (Y3^-1 * Y2 * Y3^-1)^2, Y2 * Y1 * Y2 * Y3^-2 * Y1, (Y1 * Y3^-1 * Y2)^2, Y3^-1 * Y1 * Y3^-1 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 ]
Map:: polytopal
	R = (1, 97, 4, 100, 14, 110, 5, 101)(2, 98, 7, 103, 22, 118, 8, 104)(3, 99, 10, 106, 17, 113, 11, 107)(6, 102, 18, 114, 9, 105, 19, 115)(12, 108, 25, 121, 15, 111, 26, 122)(13, 109, 27, 123, 16, 112, 28, 124)(20, 116, 29, 125, 23, 119, 30, 126)(21, 117, 31, 127, 24, 120, 32, 128)(33, 129, 41, 137, 35, 131, 42, 138)(34, 130, 43, 139, 36, 132, 44, 140)(37, 133, 45, 141, 39, 135, 46, 142)(38, 134, 47, 143, 40, 136, 48, 144)(49, 145, 57, 153, 51, 147, 58, 154)(50, 146, 59, 155, 52, 148, 60, 156)(53, 149, 61, 157, 55, 151, 62, 158)(54, 150, 63, 159, 56, 152, 64, 160)(65, 161, 73, 169, 67, 163, 74, 170)(66, 162, 75, 171, 68, 164, 76, 172)(69, 165, 77, 173, 71, 167, 78, 174)(70, 166, 79, 175, 72, 168, 80, 176)(81, 177, 89, 185, 83, 179, 90, 186)(82, 178, 91, 187, 84, 180, 92, 188)(85, 181, 93, 189, 87, 183, 94, 190)(86, 182, 95, 191, 88, 184, 96, 192)(193, 194)(195, 201)(196, 204)(197, 207)(198, 209)(199, 212)(200, 215)(202, 216)(203, 213)(205, 211)(206, 214)(208, 210)(217, 225)(218, 227)(219, 228)(220, 226)(221, 229)(222, 231)(223, 232)(224, 230)(233, 241)(234, 243)(235, 244)(236, 242)(237, 245)(238, 247)(239, 248)(240, 246)(249, 257)(250, 259)(251, 260)(252, 258)(253, 261)(254, 263)(255, 264)(256, 262)(265, 273)(266, 275)(267, 276)(268, 274)(269, 277)(270, 279)(271, 280)(272, 278)(281, 285)(282, 286)(283, 288)(284, 287)(289, 291)(290, 294)(292, 301)(293, 304)(295, 309)(296, 312)(297, 310)(298, 308)(299, 311)(300, 306)(302, 305)(303, 307)(313, 322)(314, 324)(315, 321)(316, 323)(317, 326)(318, 328)(319, 325)(320, 327)(329, 338)(330, 340)(331, 337)(332, 339)(333, 342)(334, 344)(335, 341)(336, 343)(345, 354)(346, 356)(347, 353)(348, 355)(349, 358)(350, 360)(351, 357)(352, 359)(361, 370)(362, 372)(363, 369)(364, 371)(365, 374)(366, 376)(367, 373)(368, 375)(377, 383)(378, 384)(379, 381)(380, 382)
	L = (1, 193)(2, 194)(3, 195)(4, 196)(5, 197)(6, 198)(7, 199)(8, 200)(9, 201)(10, 202)(11, 203)(12, 204)(13, 205)(14, 206)(15, 207)(16, 208)(17, 209)(18, 210)(19, 211)(20, 212)(21, 213)(22, 214)(23, 215)(24, 216)(25, 217)(26, 218)(27, 219)(28, 220)(29, 221)(30, 222)(31, 223)(32, 224)(33, 225)(34, 226)(35, 227)(36, 228)(37, 229)(38, 230)(39, 231)(40, 232)(41, 233)(42, 234)(43, 235)(44, 236)(45, 237)(46, 238)(47, 239)(48, 240)(49, 241)(50, 242)(51, 243)(52, 244)(53, 245)(54, 246)(55, 247)(56, 248)(57, 249)(58, 250)(59, 251)(60, 252)(61, 253)(62, 254)(63, 255)(64, 256)(65, 257)(66, 258)(67, 259)(68, 260)(69, 261)(70, 262)(71, 263)(72, 264)(73, 265)(74, 266)(75, 267)(76, 268)(77, 269)(78, 270)(79, 271)(80, 272)(81, 273)(82, 274)(83, 275)(84, 276)(85, 277)(86, 278)(87, 279)(88, 280)(89, 281)(90, 282)(91, 283)(92, 284)(93, 285)(94, 286)(95, 287)(96, 288)(97, 289)(98, 290)(99, 291)(100, 292)(101, 293)(102, 294)(103, 295)(104, 296)(105, 297)(106, 298)(107, 299)(108, 300)(109, 301)(110, 302)(111, 303)(112, 304)(113, 305)(114, 306)(115, 307)(116, 308)(117, 309)(118, 310)(119, 311)(120, 312)(121, 313)(122, 314)(123, 315)(124, 316)(125, 317)(126, 318)(127, 319)(128, 320)(129, 321)(130, 322)(131, 323)(132, 324)(133, 325)(134, 326)(135, 327)(136, 328)(137, 329)(138, 330)(139, 331)(140, 332)(141, 333)(142, 334)(143, 335)(144, 336)(145, 337)(146, 338)(147, 339)(148, 340)(149, 341)(150, 342)(151, 343)(152, 344)(153, 345)(154, 346)(155, 347)(156, 348)(157, 349)(158, 350)(159, 351)(160, 352)(161, 353)(162, 354)(163, 355)(164, 356)(165, 357)(166, 358)(167, 359)(168, 360)(169, 361)(170, 362)(171, 363)(172, 364)(173, 365)(174, 366)(175, 367)(176, 368)(177, 369)(178, 370)(179, 371)(180, 372)(181, 373)(182, 374)(183, 375)(184, 376)(185, 377)(186, 378)(187, 379)(188, 380)(189, 381)(190, 382)(191, 383)(192, 384)
	local type(s) :: { ( 8, 8 ), ( 8^8 ) }
Outer automorphisms :: reflexible
Dual of E13.1375
Graph:: simple bipartite
	v = 120 e = 192 f = 48
	degree seq :: [ 2^96, 8^24 ]

E13.1375 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 2, 4})
Quotient :: loop^2
Aut^+ = (C2 x C4 x S3) : C2 (small group id <96, 102>)
Aut   = $<192, 332>$ (small group id <192, 332>)
|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)^12 ]
Map::
	R = (1, 97, 193, 289, 4, 100, 196, 292)(2, 98, 194, 290, 6, 102, 198, 294)(3, 99, 195, 291, 8, 104, 200, 296)(5, 101, 197, 293, 12, 108, 204, 300)(7, 103, 199, 295, 16, 112, 208, 304)(9, 105, 201, 297, 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, 25, 121, 217, 313)(17, 113, 209, 305, 27, 123, 219, 315)(20, 116, 212, 308, 31, 127, 223, 319)(22, 118, 214, 310, 33, 129, 225, 321)(26, 122, 218, 314, 37, 133, 229, 325)(28, 124, 220, 316, 39, 135, 231, 327)(29, 125, 221, 317, 40, 136, 232, 328)(30, 126, 222, 318, 41, 137, 233, 329)(32, 128, 224, 320, 42, 138, 234, 330)(34, 130, 226, 322, 44, 140, 236, 332)(35, 131, 227, 323, 45, 141, 237, 333)(36, 132, 228, 324, 46, 142, 238, 334)(38, 134, 230, 326, 47, 143, 239, 335)(43, 139, 235, 331, 52, 148, 244, 340)(48, 144, 240, 336, 57, 153, 249, 345)(49, 145, 241, 337, 58, 154, 250, 346)(50, 146, 242, 338, 59, 155, 251, 347)(51, 147, 243, 339, 60, 156, 252, 348)(53, 149, 245, 341, 61, 157, 253, 349)(54, 150, 246, 342, 62, 158, 254, 350)(55, 151, 247, 343, 63, 159, 255, 351)(56, 152, 248, 344, 64, 160, 256, 352)(65, 161, 257, 353, 73, 169, 265, 361)(66, 162, 258, 354, 74, 170, 266, 362)(67, 163, 259, 355, 75, 171, 267, 363)(68, 164, 260, 356, 76, 172, 268, 364)(69, 165, 261, 357, 77, 173, 269, 365)(70, 166, 262, 358, 78, 174, 270, 366)(71, 167, 263, 359, 79, 175, 271, 367)(72, 168, 264, 360, 80, 176, 272, 368)(81, 177, 273, 369, 89, 185, 281, 377)(82, 178, 274, 370, 90, 186, 282, 378)(83, 179, 275, 371, 91, 187, 283, 379)(84, 180, 276, 372, 92, 188, 284, 380)(85, 181, 277, 373, 93, 189, 285, 381)(86, 182, 278, 374, 94, 190, 286, 382)(87, 183, 279, 375, 95, 191, 287, 383)(88, 184, 280, 376, 96, 192, 288, 384)
	L = (1, 98)(2, 97)(3, 103)(4, 105)(5, 107)(6, 109)(7, 99)(8, 113)(9, 100)(10, 112)(11, 101)(12, 118)(13, 102)(14, 117)(15, 116)(16, 106)(17, 104)(18, 124)(19, 126)(20, 111)(21, 110)(22, 108)(23, 130)(24, 132)(25, 128)(26, 127)(27, 131)(28, 114)(29, 129)(30, 115)(31, 122)(32, 121)(33, 125)(34, 119)(35, 123)(36, 120)(37, 139)(38, 138)(39, 144)(40, 146)(41, 145)(42, 134)(43, 133)(44, 149)(45, 151)(46, 150)(47, 152)(48, 135)(49, 137)(50, 136)(51, 148)(52, 147)(53, 140)(54, 142)(55, 141)(56, 143)(57, 161)(58, 163)(59, 162)(60, 164)(61, 165)(62, 167)(63, 166)(64, 168)(65, 153)(66, 155)(67, 154)(68, 156)(69, 157)(70, 159)(71, 158)(72, 160)(73, 177)(74, 179)(75, 178)(76, 180)(77, 181)(78, 183)(79, 182)(80, 184)(81, 169)(82, 171)(83, 170)(84, 172)(85, 173)(86, 175)(87, 174)(88, 176)(89, 189)(90, 191)(91, 190)(92, 192)(93, 185)(94, 187)(95, 186)(96, 188)(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, 314)(209, 313)(210, 317)(211, 316)(212, 299)(213, 320)(214, 319)(215, 323)(216, 322)(217, 305)(218, 304)(219, 326)(220, 307)(221, 306)(222, 325)(223, 310)(224, 309)(225, 331)(226, 312)(227, 311)(228, 330)(229, 318)(230, 315)(231, 337)(232, 336)(233, 339)(234, 324)(235, 321)(236, 342)(237, 341)(238, 344)(239, 343)(240, 328)(241, 327)(242, 340)(243, 329)(244, 338)(245, 333)(246, 332)(247, 335)(248, 334)(249, 354)(250, 353)(251, 356)(252, 355)(253, 358)(254, 357)(255, 360)(256, 359)(257, 346)(258, 345)(259, 348)(260, 347)(261, 350)(262, 349)(263, 352)(264, 351)(265, 370)(266, 369)(267, 372)(268, 371)(269, 374)(270, 373)(271, 376)(272, 375)(273, 362)(274, 361)(275, 364)(276, 363)(277, 366)(278, 365)(279, 368)(280, 367)(281, 382)(282, 381)(283, 384)(284, 383)(285, 378)(286, 377)(287, 380)(288, 379)
	local type(s) :: { ( 2, 8, 2, 8, 2, 8, 2, 8 ) }
Outer automorphisms :: reflexible
Dual of E13.1374
Transitivity :: VT+
Graph:: bipartite
	v = 48 e = 192 f = 120
	degree seq :: [ 8^48 ]

E13.1376 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 2, 4})
Quotient :: loop^2
Aut^+ = (C2 x C4 x S3) : C2 (small group id <96, 102>)
Aut   = $<192, 332>$ (small group id <192, 332>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, (R * Y3)^2, R * Y1 * R * Y2, Y3^4, (Y3^-1 * Y1 * Y3^-1)^2, Y2 * Y3^-1 * Y2 * Y1 * Y3 * Y1, (Y3^-1 * Y2 * Y3^-1)^2, Y2 * Y1 * Y2 * Y3^-2 * Y1, (Y1 * Y3^-1 * Y2)^2, Y3^-1 * Y1 * Y3^-1 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 ]
Map::
	R = (1, 97, 193, 289, 4, 100, 196, 292, 14, 110, 206, 302, 5, 101, 197, 293)(2, 98, 194, 290, 7, 103, 199, 295, 22, 118, 214, 310, 8, 104, 200, 296)(3, 99, 195, 291, 10, 106, 202, 298, 17, 113, 209, 305, 11, 107, 203, 299)(6, 102, 198, 294, 18, 114, 210, 306, 9, 105, 201, 297, 19, 115, 211, 307)(12, 108, 204, 300, 25, 121, 217, 313, 15, 111, 207, 303, 26, 122, 218, 314)(13, 109, 205, 301, 27, 123, 219, 315, 16, 112, 208, 304, 28, 124, 220, 316)(20, 116, 212, 308, 29, 125, 221, 317, 23, 119, 215, 311, 30, 126, 222, 318)(21, 117, 213, 309, 31, 127, 223, 319, 24, 120, 216, 312, 32, 128, 224, 320)(33, 129, 225, 321, 41, 137, 233, 329, 35, 131, 227, 323, 42, 138, 234, 330)(34, 130, 226, 322, 43, 139, 235, 331, 36, 132, 228, 324, 44, 140, 236, 332)(37, 133, 229, 325, 45, 141, 237, 333, 39, 135, 231, 327, 46, 142, 238, 334)(38, 134, 230, 326, 47, 143, 239, 335, 40, 136, 232, 328, 48, 144, 240, 336)(49, 145, 241, 337, 57, 153, 249, 345, 51, 147, 243, 339, 58, 154, 250, 346)(50, 146, 242, 338, 59, 155, 251, 347, 52, 148, 244, 340, 60, 156, 252, 348)(53, 149, 245, 341, 61, 157, 253, 349, 55, 151, 247, 343, 62, 158, 254, 350)(54, 150, 246, 342, 63, 159, 255, 351, 56, 152, 248, 344, 64, 160, 256, 352)(65, 161, 257, 353, 73, 169, 265, 361, 67, 163, 259, 355, 74, 170, 266, 362)(66, 162, 258, 354, 75, 171, 267, 363, 68, 164, 260, 356, 76, 172, 268, 364)(69, 165, 261, 357, 77, 173, 269, 365, 71, 167, 263, 359, 78, 174, 270, 366)(70, 166, 262, 358, 79, 175, 271, 367, 72, 168, 264, 360, 80, 176, 272, 368)(81, 177, 273, 369, 89, 185, 281, 377, 83, 179, 275, 371, 90, 186, 282, 378)(82, 178, 274, 370, 91, 187, 283, 379, 84, 180, 276, 372, 92, 188, 284, 380)(85, 181, 277, 373, 93, 189, 285, 381, 87, 183, 279, 375, 94, 190, 286, 382)(86, 182, 278, 374, 95, 191, 287, 383, 88, 184, 280, 376, 96, 192, 288, 384)
	L = (1, 98)(2, 97)(3, 105)(4, 108)(5, 111)(6, 113)(7, 116)(8, 119)(9, 99)(10, 120)(11, 117)(12, 100)(13, 115)(14, 118)(15, 101)(16, 114)(17, 102)(18, 112)(19, 109)(20, 103)(21, 107)(22, 110)(23, 104)(24, 106)(25, 129)(26, 131)(27, 132)(28, 130)(29, 133)(30, 135)(31, 136)(32, 134)(33, 121)(34, 124)(35, 122)(36, 123)(37, 125)(38, 128)(39, 126)(40, 127)(41, 145)(42, 147)(43, 148)(44, 146)(45, 149)(46, 151)(47, 152)(48, 150)(49, 137)(50, 140)(51, 138)(52, 139)(53, 141)(54, 144)(55, 142)(56, 143)(57, 161)(58, 163)(59, 164)(60, 162)(61, 165)(62, 167)(63, 168)(64, 166)(65, 153)(66, 156)(67, 154)(68, 155)(69, 157)(70, 160)(71, 158)(72, 159)(73, 177)(74, 179)(75, 180)(76, 178)(77, 181)(78, 183)(79, 184)(80, 182)(81, 169)(82, 172)(83, 170)(84, 171)(85, 173)(86, 176)(87, 174)(88, 175)(89, 189)(90, 190)(91, 192)(92, 191)(93, 185)(94, 186)(95, 188)(96, 187)(193, 291)(194, 294)(195, 289)(196, 301)(197, 304)(198, 290)(199, 309)(200, 312)(201, 310)(202, 308)(203, 311)(204, 306)(205, 292)(206, 305)(207, 307)(208, 293)(209, 302)(210, 300)(211, 303)(212, 298)(213, 295)(214, 297)(215, 299)(216, 296)(217, 322)(218, 324)(219, 321)(220, 323)(221, 326)(222, 328)(223, 325)(224, 327)(225, 315)(226, 313)(227, 316)(228, 314)(229, 319)(230, 317)(231, 320)(232, 318)(233, 338)(234, 340)(235, 337)(236, 339)(237, 342)(238, 344)(239, 341)(240, 343)(241, 331)(242, 329)(243, 332)(244, 330)(245, 335)(246, 333)(247, 336)(248, 334)(249, 354)(250, 356)(251, 353)(252, 355)(253, 358)(254, 360)(255, 357)(256, 359)(257, 347)(258, 345)(259, 348)(260, 346)(261, 351)(262, 349)(263, 352)(264, 350)(265, 370)(266, 372)(267, 369)(268, 371)(269, 374)(270, 376)(271, 373)(272, 375)(273, 363)(274, 361)(275, 364)(276, 362)(277, 367)(278, 365)(279, 368)(280, 366)(281, 383)(282, 384)(283, 381)(284, 382)(285, 379)(286, 380)(287, 377)(288, 378)
	local type(s) :: { ( 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4 ) }
Outer automorphisms :: reflexible
Dual of E13.1373
Transitivity :: VT+
Graph:: bipartite
	v = 24 e = 192 f = 144
	degree seq :: [ 16^24 ]

E13.1377 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 2, 4})
Quotient :: halfedge^2
Aut^+ = (C2 x D24) : C2 (small group id <96, 115>)
Aut   = $<192, 306>$ (small group id <192, 306>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, Y3^2, R^2, (Y3 * Y2)^2, (R * Y1)^2, R * Y3 * R * Y2, (Y1 * Y3 * Y1 * Y3 * Y2)^2, Y3 * Y1 * Y2 * Y1 * Y3 * Y2 * Y1 * Y2 * Y1 * Y2, Y3 * Y1 * Y2 * Y1 * Y3 * Y1 * Y3 * Y1 * Y2 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y2 * Y1 * Y3 * Y1 * Y2 * Y1 ]
Map:: polytopal non-degenerate
	R = (1, 98, 2, 97)(3, 103, 7, 99)(4, 105, 9, 100)(5, 106, 10, 101)(6, 108, 12, 102)(8, 111, 15, 104)(11, 116, 20, 107)(13, 119, 23, 109)(14, 121, 25, 110)(16, 124, 28, 112)(17, 126, 30, 113)(18, 127, 31, 114)(19, 129, 33, 115)(21, 132, 36, 117)(22, 134, 38, 118)(24, 130, 34, 120)(26, 128, 32, 122)(27, 133, 37, 123)(29, 131, 35, 125)(39, 145, 49, 135)(40, 146, 50, 136)(41, 147, 51, 137)(42, 148, 52, 138)(43, 144, 48, 139)(44, 149, 53, 140)(45, 150, 54, 141)(46, 151, 55, 142)(47, 152, 56, 143)(57, 161, 65, 153)(58, 162, 66, 154)(59, 163, 67, 155)(60, 164, 68, 156)(61, 165, 69, 157)(62, 166, 70, 158)(63, 167, 71, 159)(64, 168, 72, 160)(73, 177, 81, 169)(74, 178, 82, 170)(75, 179, 83, 171)(76, 180, 84, 172)(77, 181, 85, 173)(78, 182, 86, 174)(79, 183, 87, 175)(80, 184, 88, 176)(89, 192, 96, 185)(90, 190, 94, 186)(91, 191, 95, 187)(92, 189, 93, 188)
	L = (1, 3)(2, 5)(4, 8)(6, 11)(7, 13)(9, 16)(10, 18)(12, 21)(14, 24)(15, 26)(17, 29)(19, 32)(20, 34)(22, 37)(23, 39)(25, 41)(27, 43)(28, 40)(30, 42)(31, 44)(33, 46)(35, 48)(36, 45)(38, 47)(49, 57)(50, 59)(51, 58)(52, 60)(53, 61)(54, 63)(55, 62)(56, 64)(65, 73)(66, 75)(67, 74)(68, 76)(69, 77)(70, 79)(71, 78)(72, 80)(81, 89)(82, 91)(83, 90)(84, 92)(85, 93)(86, 95)(87, 94)(88, 96)(97, 100)(98, 102)(99, 104)(101, 107)(103, 110)(105, 113)(106, 115)(108, 118)(109, 120)(111, 123)(112, 125)(114, 128)(116, 131)(117, 133)(119, 136)(121, 138)(122, 139)(124, 135)(126, 137)(127, 141)(129, 143)(130, 144)(132, 140)(134, 142)(145, 154)(146, 156)(147, 153)(148, 155)(149, 158)(150, 160)(151, 157)(152, 159)(161, 170)(162, 172)(163, 169)(164, 171)(165, 174)(166, 176)(167, 173)(168, 175)(177, 186)(178, 188)(179, 185)(180, 187)(181, 190)(182, 192)(183, 189)(184, 191)
	local type(s) :: { ( 8^4 ) }
Outer automorphisms :: reflexible
Dual of E13.1379
Transitivity :: VT+ AT
Graph:: simple bipartite
	v = 48 e = 96 f = 24
	degree seq :: [ 4^48 ]

E13.1378 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 2, 4})
Quotient :: halfedge^2
Aut^+ = (C2 x D24) : C2 (small group id <96, 115>)
Aut   = $<192, 381>$ (small group id <192, 381>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, Y3^2, R^2, R * Y3 * R * Y2, (R * Y1)^2, Y3 * Y2 * Y1 * Y2 * Y3 * Y1, (Y2 * Y3)^4, Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y2 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * 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, 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, 127, 31, 116)(21, 128, 32, 117)(22, 129, 33, 118)(23, 131, 35, 119)(24, 132, 36, 120)(28, 130, 34, 124)(37, 143, 47, 133)(38, 144, 48, 134)(39, 145, 49, 135)(40, 146, 50, 136)(41, 147, 51, 137)(42, 148, 52, 138)(43, 149, 53, 139)(44, 150, 54, 140)(45, 151, 55, 141)(46, 152, 56, 142)(57, 161, 65, 153)(58, 162, 66, 154)(59, 163, 67, 155)(60, 164, 68, 156)(61, 165, 69, 157)(62, 166, 70, 158)(63, 167, 71, 159)(64, 168, 72, 160)(73, 177, 81, 169)(74, 178, 82, 170)(75, 179, 83, 171)(76, 180, 84, 172)(77, 181, 85, 173)(78, 182, 86, 174)(79, 183, 87, 175)(80, 184, 88, 176)(89, 192, 96, 185)(90, 191, 95, 186)(91, 190, 94, 187)(92, 189, 93, 188)
	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, 100)(98, 102)(99, 104)(101, 108)(103, 112)(105, 111)(106, 115)(107, 117)(109, 116)(110, 120)(113, 124)(114, 126)(118, 130)(119, 132)(121, 134)(122, 133)(123, 136)(125, 137)(127, 139)(128, 138)(129, 141)(131, 142)(135, 146)(140, 151)(143, 154)(144, 153)(145, 156)(147, 155)(148, 158)(149, 157)(150, 160)(152, 159)(161, 170)(162, 169)(163, 172)(164, 171)(165, 174)(166, 173)(167, 176)(168, 175)(177, 186)(178, 185)(179, 188)(180, 187)(181, 190)(182, 189)(183, 192)(184, 191)
	local type(s) :: { ( 8^4 ) }
Outer automorphisms :: reflexible
Dual of E13.1380
Transitivity :: VT+ AT
Graph:: simple bipartite
	v = 48 e = 96 f = 24
	degree seq :: [ 4^48 ]

E13.1379 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 2, 4})
Quotient :: halfedge^2
Aut^+ = (C2 x D24) : C2 (small group id <96, 115>)
Aut   = $<192, 306>$ (small group id <192, 306>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, Y1^4, R * Y3 * R * Y2, (Y3 * Y2)^2, (R * Y1)^2, (Y1^-1 * Y3 * Y1^-1)^2, (Y1^-1 * Y3 * Y2)^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^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 98, 2, 102, 6, 101, 5, 97)(3, 105, 9, 112, 16, 107, 11, 99)(4, 108, 12, 113, 17, 109, 13, 100)(7, 114, 18, 110, 14, 116, 20, 103)(8, 117, 21, 111, 15, 118, 22, 104)(10, 121, 25, 124, 28, 115, 19, 106)(23, 129, 33, 122, 26, 130, 34, 119)(24, 131, 35, 123, 27, 132, 36, 120)(29, 133, 37, 127, 31, 134, 38, 125)(30, 135, 39, 128, 32, 136, 40, 126)(41, 145, 49, 139, 43, 146, 50, 137)(42, 147, 51, 140, 44, 148, 52, 138)(45, 149, 53, 143, 47, 150, 54, 141)(46, 151, 55, 144, 48, 152, 56, 142)(57, 161, 65, 155, 59, 162, 66, 153)(58, 163, 67, 156, 60, 164, 68, 154)(61, 165, 69, 159, 63, 166, 70, 157)(62, 167, 71, 160, 64, 168, 72, 158)(73, 177, 81, 171, 75, 178, 82, 169)(74, 179, 83, 172, 76, 180, 84, 170)(77, 181, 85, 175, 79, 182, 86, 173)(78, 183, 87, 176, 80, 184, 88, 174)(89, 191, 95, 187, 91, 189, 93, 185)(90, 190, 94, 188, 92, 192, 96, 186)
	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, 100)(98, 104)(99, 106)(101, 111)(102, 113)(103, 115)(105, 120)(107, 123)(108, 122)(109, 119)(110, 121)(112, 124)(114, 126)(116, 128)(117, 127)(118, 125)(129, 138)(130, 140)(131, 139)(132, 137)(133, 142)(134, 144)(135, 143)(136, 141)(145, 154)(146, 156)(147, 155)(148, 153)(149, 158)(150, 160)(151, 159)(152, 157)(161, 170)(162, 172)(163, 171)(164, 169)(165, 174)(166, 176)(167, 175)(168, 173)(177, 186)(178, 188)(179, 187)(180, 185)(181, 190)(182, 192)(183, 191)(184, 189)
	local type(s) :: { ( 4^8 ) }
Outer automorphisms :: reflexible
Dual of E13.1377
Transitivity :: VT+ AT
Graph:: bipartite
	v = 24 e = 96 f = 48
	degree seq :: [ 8^24 ]

E13.1380 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 2, 4})
Quotient :: halfedge^2
Aut^+ = (C2 x D24) : C2 (small group id <96, 115>)
Aut   = $<192, 381>$ (small group id <192, 381>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, Y1^4, (R * Y1)^2, R * Y3 * R * Y2, (Y1^-1 * Y3 * Y1^-1)^2, (Y1^-1 * Y2 * Y1^-1)^2, Y3 * Y2 * Y3 * Y1^-2 * Y2, (Y1^-1 * Y2 * Y3)^2, Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 98, 2, 102, 6, 101, 5, 97)(3, 105, 9, 113, 17, 107, 11, 99)(4, 108, 12, 114, 18, 110, 14, 100)(7, 115, 19, 111, 15, 117, 21, 103)(8, 118, 22, 112, 16, 120, 24, 104)(10, 116, 20, 109, 13, 119, 23, 106)(25, 129, 33, 123, 27, 130, 34, 121)(26, 131, 35, 124, 28, 132, 36, 122)(29, 133, 37, 127, 31, 134, 38, 125)(30, 135, 39, 128, 32, 136, 40, 126)(41, 145, 49, 139, 43, 146, 50, 137)(42, 147, 51, 140, 44, 148, 52, 138)(45, 149, 53, 143, 47, 150, 54, 141)(46, 151, 55, 144, 48, 152, 56, 142)(57, 161, 65, 155, 59, 162, 66, 153)(58, 163, 67, 156, 60, 164, 68, 154)(61, 165, 69, 159, 63, 166, 70, 157)(62, 167, 71, 160, 64, 168, 72, 158)(73, 177, 81, 171, 75, 178, 82, 169)(74, 179, 83, 172, 76, 180, 84, 170)(77, 181, 85, 175, 79, 182, 86, 173)(78, 183, 87, 176, 80, 184, 88, 174)(89, 191, 95, 187, 91, 189, 93, 185)(90, 192, 96, 188, 92, 190, 94, 186)
	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, 100)(98, 104)(99, 106)(101, 112)(102, 114)(103, 116)(105, 122)(107, 124)(108, 121)(109, 113)(110, 123)(111, 119)(115, 126)(117, 128)(118, 125)(120, 127)(129, 138)(130, 140)(131, 137)(132, 139)(133, 142)(134, 144)(135, 141)(136, 143)(145, 154)(146, 156)(147, 153)(148, 155)(149, 158)(150, 160)(151, 157)(152, 159)(161, 170)(162, 172)(163, 169)(164, 171)(165, 174)(166, 176)(167, 173)(168, 175)(177, 186)(178, 188)(179, 185)(180, 187)(181, 190)(182, 192)(183, 189)(184, 191)
	local type(s) :: { ( 4^8 ) }
Outer automorphisms :: reflexible
Dual of E13.1378
Transitivity :: VT+ AT
Graph:: bipartite
	v = 24 e = 96 f = 48
	degree seq :: [ 8^24 ]

E13.1381 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 2, 4})
Quotient :: edge^2
Aut^+ = (C2 x D24) : C2 (small group id <96, 115>)
Aut   = $<192, 306>$ (small group id <192, 306>)
|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 * Y1)^2, Y2 * Y3 * Y1 * Y2 * Y3 * Y2 * Y3 * Y2 * Y1 * Y3, Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 ]
Map:: polytopal
	R = (1, 97, 4, 100)(2, 98, 6, 102)(3, 99, 7, 103)(5, 101, 10, 106)(8, 104, 16, 112)(9, 105, 17, 113)(11, 107, 21, 117)(12, 108, 22, 118)(13, 109, 24, 120)(14, 110, 25, 121)(15, 111, 26, 122)(18, 114, 32, 128)(19, 115, 33, 129)(20, 116, 34, 130)(23, 119, 39, 135)(27, 123, 40, 136)(28, 124, 41, 137)(29, 125, 42, 138)(30, 126, 43, 139)(31, 127, 44, 140)(35, 131, 45, 141)(36, 132, 46, 142)(37, 133, 47, 143)(38, 134, 48, 144)(49, 145, 57, 153)(50, 146, 58, 154)(51, 147, 59, 155)(52, 148, 60, 156)(53, 149, 61, 157)(54, 150, 62, 158)(55, 151, 63, 159)(56, 152, 64, 160)(65, 161, 73, 169)(66, 162, 74, 170)(67, 163, 75, 171)(68, 164, 76, 172)(69, 165, 77, 173)(70, 166, 78, 174)(71, 167, 79, 175)(72, 168, 80, 176)(81, 177, 89, 185)(82, 178, 90, 186)(83, 179, 91, 187)(84, 180, 92, 188)(85, 181, 93, 189)(86, 182, 94, 190)(87, 183, 95, 191)(88, 184, 96, 192)(193, 194)(195, 197)(196, 200)(198, 203)(199, 205)(201, 207)(202, 210)(204, 212)(206, 215)(208, 219)(209, 221)(211, 223)(213, 227)(214, 229)(216, 228)(217, 230)(218, 226)(220, 224)(222, 225)(231, 236)(232, 241)(233, 243)(234, 242)(235, 244)(237, 245)(238, 247)(239, 246)(240, 248)(249, 257)(250, 259)(251, 258)(252, 260)(253, 261)(254, 263)(255, 262)(256, 264)(265, 273)(266, 275)(267, 274)(268, 276)(269, 277)(270, 279)(271, 278)(272, 280)(281, 288)(282, 287)(283, 286)(284, 285)(289, 291)(290, 293)(292, 297)(294, 300)(295, 302)(296, 303)(298, 307)(299, 308)(301, 311)(304, 316)(305, 318)(306, 319)(309, 324)(310, 326)(312, 323)(313, 325)(314, 327)(315, 320)(317, 321)(322, 332)(328, 338)(329, 340)(330, 337)(331, 339)(333, 342)(334, 344)(335, 341)(336, 343)(345, 354)(346, 356)(347, 353)(348, 355)(349, 358)(350, 360)(351, 357)(352, 359)(361, 370)(362, 372)(363, 369)(364, 371)(365, 374)(366, 376)(367, 373)(368, 375)(377, 382)(378, 381)(379, 384)(380, 383)
	L = (1, 193)(2, 194)(3, 195)(4, 196)(5, 197)(6, 198)(7, 199)(8, 200)(9, 201)(10, 202)(11, 203)(12, 204)(13, 205)(14, 206)(15, 207)(16, 208)(17, 209)(18, 210)(19, 211)(20, 212)(21, 213)(22, 214)(23, 215)(24, 216)(25, 217)(26, 218)(27, 219)(28, 220)(29, 221)(30, 222)(31, 223)(32, 224)(33, 225)(34, 226)(35, 227)(36, 228)(37, 229)(38, 230)(39, 231)(40, 232)(41, 233)(42, 234)(43, 235)(44, 236)(45, 237)(46, 238)(47, 239)(48, 240)(49, 241)(50, 242)(51, 243)(52, 244)(53, 245)(54, 246)(55, 247)(56, 248)(57, 249)(58, 250)(59, 251)(60, 252)(61, 253)(62, 254)(63, 255)(64, 256)(65, 257)(66, 258)(67, 259)(68, 260)(69, 261)(70, 262)(71, 263)(72, 264)(73, 265)(74, 266)(75, 267)(76, 268)(77, 269)(78, 270)(79, 271)(80, 272)(81, 273)(82, 274)(83, 275)(84, 276)(85, 277)(86, 278)(87, 279)(88, 280)(89, 281)(90, 282)(91, 283)(92, 284)(93, 285)(94, 286)(95, 287)(96, 288)(97, 289)(98, 290)(99, 291)(100, 292)(101, 293)(102, 294)(103, 295)(104, 296)(105, 297)(106, 298)(107, 299)(108, 300)(109, 301)(110, 302)(111, 303)(112, 304)(113, 305)(114, 306)(115, 307)(116, 308)(117, 309)(118, 310)(119, 311)(120, 312)(121, 313)(122, 314)(123, 315)(124, 316)(125, 317)(126, 318)(127, 319)(128, 320)(129, 321)(130, 322)(131, 323)(132, 324)(133, 325)(134, 326)(135, 327)(136, 328)(137, 329)(138, 330)(139, 331)(140, 332)(141, 333)(142, 334)(143, 335)(144, 336)(145, 337)(146, 338)(147, 339)(148, 340)(149, 341)(150, 342)(151, 343)(152, 344)(153, 345)(154, 346)(155, 347)(156, 348)(157, 349)(158, 350)(159, 351)(160, 352)(161, 353)(162, 354)(163, 355)(164, 356)(165, 357)(166, 358)(167, 359)(168, 360)(169, 361)(170, 362)(171, 363)(172, 364)(173, 365)(174, 366)(175, 367)(176, 368)(177, 369)(178, 370)(179, 371)(180, 372)(181, 373)(182, 374)(183, 375)(184, 376)(185, 377)(186, 378)(187, 379)(188, 380)(189, 381)(190, 382)(191, 383)(192, 384)
	local type(s) :: { ( 16, 16 ), ( 16^4 ) }
Outer automorphisms :: reflexible
Dual of E13.1387
Graph:: simple bipartite
	v = 144 e = 192 f = 24
	degree seq :: [ 2^96, 4^48 ]

E13.1382 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 2, 4})
Quotient :: edge^2
Aut^+ = (C2 x D24) : C2 (small group id <96, 115>)
Aut   = $<192, 381>$ (small group id <192, 381>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, Y3^2, R^2, (R * Y3)^2, R * Y1 * R * Y2, Y2 * Y3 * Y2 * Y1 * Y3 * Y1, (Y1 * Y2)^4, Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y1 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y1 ]
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, 25, 121)(17, 113, 27, 123)(20, 116, 31, 127)(22, 118, 33, 129)(26, 122, 37, 133)(28, 124, 39, 135)(29, 125, 40, 136)(30, 126, 41, 137)(32, 128, 42, 138)(34, 130, 44, 140)(35, 131, 45, 141)(36, 132, 46, 142)(38, 134, 47, 143)(43, 139, 52, 148)(48, 144, 57, 153)(49, 145, 58, 154)(50, 146, 59, 155)(51, 147, 60, 156)(53, 149, 61, 157)(54, 150, 62, 158)(55, 151, 63, 159)(56, 152, 64, 160)(65, 161, 73, 169)(66, 162, 74, 170)(67, 163, 75, 171)(68, 164, 76, 172)(69, 165, 77, 173)(70, 166, 78, 174)(71, 167, 79, 175)(72, 168, 80, 176)(81, 177, 89, 185)(82, 178, 90, 186)(83, 179, 91, 187)(84, 180, 92, 188)(85, 181, 93, 189)(86, 182, 94, 190)(87, 183, 95, 191)(88, 184, 96, 192)(193, 194)(195, 199)(196, 201)(197, 203)(198, 205)(200, 209)(202, 208)(204, 214)(206, 213)(207, 212)(210, 220)(211, 222)(215, 226)(216, 228)(217, 224)(218, 223)(219, 227)(221, 225)(229, 235)(230, 234)(231, 240)(232, 242)(233, 241)(236, 245)(237, 247)(238, 246)(239, 248)(243, 244)(249, 257)(250, 259)(251, 258)(252, 260)(253, 261)(254, 263)(255, 262)(256, 264)(265, 273)(266, 275)(267, 274)(268, 276)(269, 277)(270, 279)(271, 278)(272, 280)(281, 288)(282, 286)(283, 287)(284, 285)(289, 291)(290, 293)(292, 298)(294, 302)(295, 303)(296, 301)(297, 300)(299, 308)(304, 314)(305, 313)(306, 317)(307, 316)(309, 320)(310, 319)(311, 323)(312, 322)(315, 326)(318, 325)(321, 331)(324, 330)(327, 337)(328, 336)(329, 339)(332, 342)(333, 341)(334, 344)(335, 343)(338, 340)(345, 354)(346, 353)(347, 356)(348, 355)(349, 358)(350, 357)(351, 360)(352, 359)(361, 370)(362, 369)(363, 372)(364, 371)(365, 374)(366, 373)(367, 376)(368, 375)(377, 383)(378, 384)(379, 381)(380, 382)
	L = (1, 193)(2, 194)(3, 195)(4, 196)(5, 197)(6, 198)(7, 199)(8, 200)(9, 201)(10, 202)(11, 203)(12, 204)(13, 205)(14, 206)(15, 207)(16, 208)(17, 209)(18, 210)(19, 211)(20, 212)(21, 213)(22, 214)(23, 215)(24, 216)(25, 217)(26, 218)(27, 219)(28, 220)(29, 221)(30, 222)(31, 223)(32, 224)(33, 225)(34, 226)(35, 227)(36, 228)(37, 229)(38, 230)(39, 231)(40, 232)(41, 233)(42, 234)(43, 235)(44, 236)(45, 237)(46, 238)(47, 239)(48, 240)(49, 241)(50, 242)(51, 243)(52, 244)(53, 245)(54, 246)(55, 247)(56, 248)(57, 249)(58, 250)(59, 251)(60, 252)(61, 253)(62, 254)(63, 255)(64, 256)(65, 257)(66, 258)(67, 259)(68, 260)(69, 261)(70, 262)(71, 263)(72, 264)(73, 265)(74, 266)(75, 267)(76, 268)(77, 269)(78, 270)(79, 271)(80, 272)(81, 273)(82, 274)(83, 275)(84, 276)(85, 277)(86, 278)(87, 279)(88, 280)(89, 281)(90, 282)(91, 283)(92, 284)(93, 285)(94, 286)(95, 287)(96, 288)(97, 289)(98, 290)(99, 291)(100, 292)(101, 293)(102, 294)(103, 295)(104, 296)(105, 297)(106, 298)(107, 299)(108, 300)(109, 301)(110, 302)(111, 303)(112, 304)(113, 305)(114, 306)(115, 307)(116, 308)(117, 309)(118, 310)(119, 311)(120, 312)(121, 313)(122, 314)(123, 315)(124, 316)(125, 317)(126, 318)(127, 319)(128, 320)(129, 321)(130, 322)(131, 323)(132, 324)(133, 325)(134, 326)(135, 327)(136, 328)(137, 329)(138, 330)(139, 331)(140, 332)(141, 333)(142, 334)(143, 335)(144, 336)(145, 337)(146, 338)(147, 339)(148, 340)(149, 341)(150, 342)(151, 343)(152, 344)(153, 345)(154, 346)(155, 347)(156, 348)(157, 349)(158, 350)(159, 351)(160, 352)(161, 353)(162, 354)(163, 355)(164, 356)(165, 357)(166, 358)(167, 359)(168, 360)(169, 361)(170, 362)(171, 363)(172, 364)(173, 365)(174, 366)(175, 367)(176, 368)(177, 369)(178, 370)(179, 371)(180, 372)(181, 373)(182, 374)(183, 375)(184, 376)(185, 377)(186, 378)(187, 379)(188, 380)(189, 381)(190, 382)(191, 383)(192, 384)
	local type(s) :: { ( 16, 16 ), ( 16^4 ) }
Outer automorphisms :: reflexible
Dual of E13.1388
Graph:: simple bipartite
	v = 144 e = 192 f = 24
	degree seq :: [ 2^96, 4^48 ]

E13.1383 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 2, 4})
Quotient :: edge^2
Aut^+ = (C2 x D24) : C2 (small group id <96, 115>)
Aut   = $<192, 306>$ (small group id <192, 306>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, (Y1 * Y2)^2, Y3^4, (R * Y3)^2, R * Y1 * R * Y2, (Y3^-1 * Y1 * Y3^-1)^2, Y1 * Y3^-1 * Y1 * Y2 * Y3^-1 * Y2, (Y3^-1 * Y2 * Y3^-1)^2, Y3^-1 * Y1 * Y3^-1 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 ]
Map:: polytopal
	R = (1, 97, 4, 100, 13, 109, 5, 101)(2, 98, 7, 103, 20, 116, 8, 104)(3, 99, 9, 105, 23, 119, 10, 106)(6, 102, 16, 112, 28, 124, 17, 113)(11, 107, 24, 120, 14, 110, 25, 121)(12, 108, 26, 122, 15, 111, 27, 123)(18, 114, 29, 125, 21, 117, 30, 126)(19, 115, 31, 127, 22, 118, 32, 128)(33, 129, 41, 137, 35, 131, 42, 138)(34, 130, 43, 139, 36, 132, 44, 140)(37, 133, 45, 141, 39, 135, 46, 142)(38, 134, 47, 143, 40, 136, 48, 144)(49, 145, 57, 153, 51, 147, 58, 154)(50, 146, 59, 155, 52, 148, 60, 156)(53, 149, 61, 157, 55, 151, 62, 158)(54, 150, 63, 159, 56, 152, 64, 160)(65, 161, 73, 169, 67, 163, 74, 170)(66, 162, 75, 171, 68, 164, 76, 172)(69, 165, 77, 173, 71, 167, 78, 174)(70, 166, 79, 175, 72, 168, 80, 176)(81, 177, 89, 185, 83, 179, 90, 186)(82, 178, 91, 187, 84, 180, 92, 188)(85, 181, 93, 189, 87, 183, 94, 190)(86, 182, 95, 191, 88, 184, 96, 192)(193, 194)(195, 198)(196, 203)(197, 206)(199, 210)(200, 213)(201, 214)(202, 211)(204, 209)(205, 212)(207, 208)(215, 220)(216, 225)(217, 227)(218, 228)(219, 226)(221, 229)(222, 231)(223, 232)(224, 230)(233, 241)(234, 243)(235, 244)(236, 242)(237, 245)(238, 247)(239, 248)(240, 246)(249, 257)(250, 259)(251, 260)(252, 258)(253, 261)(254, 263)(255, 264)(256, 262)(265, 273)(266, 275)(267, 276)(268, 274)(269, 277)(270, 279)(271, 280)(272, 278)(281, 286)(282, 285)(283, 288)(284, 287)(289, 291)(290, 294)(292, 300)(293, 303)(295, 307)(296, 310)(297, 309)(298, 306)(299, 305)(301, 311)(302, 304)(308, 316)(312, 322)(313, 324)(314, 323)(315, 321)(317, 326)(318, 328)(319, 327)(320, 325)(329, 338)(330, 340)(331, 339)(332, 337)(333, 342)(334, 344)(335, 343)(336, 341)(345, 354)(346, 356)(347, 355)(348, 353)(349, 358)(350, 360)(351, 359)(352, 357)(361, 370)(362, 372)(363, 371)(364, 369)(365, 374)(366, 376)(367, 375)(368, 373)(377, 383)(378, 384)(379, 381)(380, 382)
	L = (1, 193)(2, 194)(3, 195)(4, 196)(5, 197)(6, 198)(7, 199)(8, 200)(9, 201)(10, 202)(11, 203)(12, 204)(13, 205)(14, 206)(15, 207)(16, 208)(17, 209)(18, 210)(19, 211)(20, 212)(21, 213)(22, 214)(23, 215)(24, 216)(25, 217)(26, 218)(27, 219)(28, 220)(29, 221)(30, 222)(31, 223)(32, 224)(33, 225)(34, 226)(35, 227)(36, 228)(37, 229)(38, 230)(39, 231)(40, 232)(41, 233)(42, 234)(43, 235)(44, 236)(45, 237)(46, 238)(47, 239)(48, 240)(49, 241)(50, 242)(51, 243)(52, 244)(53, 245)(54, 246)(55, 247)(56, 248)(57, 249)(58, 250)(59, 251)(60, 252)(61, 253)(62, 254)(63, 255)(64, 256)(65, 257)(66, 258)(67, 259)(68, 260)(69, 261)(70, 262)(71, 263)(72, 264)(73, 265)(74, 266)(75, 267)(76, 268)(77, 269)(78, 270)(79, 271)(80, 272)(81, 273)(82, 274)(83, 275)(84, 276)(85, 277)(86, 278)(87, 279)(88, 280)(89, 281)(90, 282)(91, 283)(92, 284)(93, 285)(94, 286)(95, 287)(96, 288)(97, 289)(98, 290)(99, 291)(100, 292)(101, 293)(102, 294)(103, 295)(104, 296)(105, 297)(106, 298)(107, 299)(108, 300)(109, 301)(110, 302)(111, 303)(112, 304)(113, 305)(114, 306)(115, 307)(116, 308)(117, 309)(118, 310)(119, 311)(120, 312)(121, 313)(122, 314)(123, 315)(124, 316)(125, 317)(126, 318)(127, 319)(128, 320)(129, 321)(130, 322)(131, 323)(132, 324)(133, 325)(134, 326)(135, 327)(136, 328)(137, 329)(138, 330)(139, 331)(140, 332)(141, 333)(142, 334)(143, 335)(144, 336)(145, 337)(146, 338)(147, 339)(148, 340)(149, 341)(150, 342)(151, 343)(152, 344)(153, 345)(154, 346)(155, 347)(156, 348)(157, 349)(158, 350)(159, 351)(160, 352)(161, 353)(162, 354)(163, 355)(164, 356)(165, 357)(166, 358)(167, 359)(168, 360)(169, 361)(170, 362)(171, 363)(172, 364)(173, 365)(174, 366)(175, 367)(176, 368)(177, 369)(178, 370)(179, 371)(180, 372)(181, 373)(182, 374)(183, 375)(184, 376)(185, 377)(186, 378)(187, 379)(188, 380)(189, 381)(190, 382)(191, 383)(192, 384)
	local type(s) :: { ( 8, 8 ), ( 8^8 ) }
Outer automorphisms :: reflexible
Dual of E13.1385
Graph:: simple bipartite
	v = 120 e = 192 f = 48
	degree seq :: [ 2^96, 8^24 ]

E13.1384 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 2, 4})
Quotient :: edge^2
Aut^+ = (C2 x D24) : C2 (small group id <96, 115>)
Aut   = $<192, 381>$ (small group id <192, 381>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, (R * Y3)^2, R * Y1 * R * Y2, Y3^4, (Y3^-1 * Y1 * Y3^-1)^2, Y2 * Y3^-1 * Y2 * Y1 * Y3 * Y1, (Y3^-1 * Y2 * Y3^-1)^2, Y2 * Y1 * Y2 * Y3^-2 * Y1, (Y1 * Y3^-1 * Y2)^2, Y3^-1 * Y1 * Y3^-1 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 ]
Map:: polytopal
	R = (1, 97, 4, 100, 14, 110, 5, 101)(2, 98, 7, 103, 22, 118, 8, 104)(3, 99, 10, 106, 17, 113, 11, 107)(6, 102, 18, 114, 9, 105, 19, 115)(12, 108, 25, 121, 15, 111, 26, 122)(13, 109, 27, 123, 16, 112, 28, 124)(20, 116, 29, 125, 23, 119, 30, 126)(21, 117, 31, 127, 24, 120, 32, 128)(33, 129, 41, 137, 35, 131, 42, 138)(34, 130, 43, 139, 36, 132, 44, 140)(37, 133, 45, 141, 39, 135, 46, 142)(38, 134, 47, 143, 40, 136, 48, 144)(49, 145, 57, 153, 51, 147, 58, 154)(50, 146, 59, 155, 52, 148, 60, 156)(53, 149, 61, 157, 55, 151, 62, 158)(54, 150, 63, 159, 56, 152, 64, 160)(65, 161, 73, 169, 67, 163, 74, 170)(66, 162, 75, 171, 68, 164, 76, 172)(69, 165, 77, 173, 71, 167, 78, 174)(70, 166, 79, 175, 72, 168, 80, 176)(81, 177, 89, 185, 83, 179, 90, 186)(82, 178, 91, 187, 84, 180, 92, 188)(85, 181, 93, 189, 87, 183, 94, 190)(86, 182, 95, 191, 88, 184, 96, 192)(193, 194)(195, 201)(196, 204)(197, 207)(198, 209)(199, 212)(200, 215)(202, 216)(203, 213)(205, 211)(206, 214)(208, 210)(217, 225)(218, 227)(219, 228)(220, 226)(221, 229)(222, 231)(223, 232)(224, 230)(233, 241)(234, 243)(235, 244)(236, 242)(237, 245)(238, 247)(239, 248)(240, 246)(249, 257)(250, 259)(251, 260)(252, 258)(253, 261)(254, 263)(255, 264)(256, 262)(265, 273)(266, 275)(267, 276)(268, 274)(269, 277)(270, 279)(271, 280)(272, 278)(281, 286)(282, 285)(283, 287)(284, 288)(289, 291)(290, 294)(292, 301)(293, 304)(295, 309)(296, 312)(297, 310)(298, 308)(299, 311)(300, 306)(302, 305)(303, 307)(313, 322)(314, 324)(315, 321)(316, 323)(317, 326)(318, 328)(319, 325)(320, 327)(329, 338)(330, 340)(331, 337)(332, 339)(333, 342)(334, 344)(335, 341)(336, 343)(345, 354)(346, 356)(347, 353)(348, 355)(349, 358)(350, 360)(351, 357)(352, 359)(361, 370)(362, 372)(363, 369)(364, 371)(365, 374)(366, 376)(367, 373)(368, 375)(377, 384)(378, 383)(379, 382)(380, 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 ), ( 8^8 ) }
Outer automorphisms :: reflexible
Dual of E13.1386
Graph:: simple bipartite
	v = 120 e = 192 f = 48
	degree seq :: [ 2^96, 8^24 ]

E13.1385 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 2, 4})
Quotient :: loop^2
Aut^+ = (C2 x D24) : C2 (small group id <96, 115>)
Aut   = $<192, 306>$ (small group id <192, 306>)
|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 * Y1)^2, Y2 * Y3 * Y1 * Y2 * Y3 * Y2 * Y3 * Y2 * Y1 * Y3, Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 ]
Map::
	R = (1, 97, 193, 289, 4, 100, 196, 292)(2, 98, 194, 290, 6, 102, 198, 294)(3, 99, 195, 291, 7, 103, 199, 295)(5, 101, 197, 293, 10, 106, 202, 298)(8, 104, 200, 296, 16, 112, 208, 304)(9, 105, 201, 297, 17, 113, 209, 305)(11, 107, 203, 299, 21, 117, 213, 309)(12, 108, 204, 300, 22, 118, 214, 310)(13, 109, 205, 301, 24, 120, 216, 312)(14, 110, 206, 302, 25, 121, 217, 313)(15, 111, 207, 303, 26, 122, 218, 314)(18, 114, 210, 306, 32, 128, 224, 320)(19, 115, 211, 307, 33, 129, 225, 321)(20, 116, 212, 308, 34, 130, 226, 322)(23, 119, 215, 311, 39, 135, 231, 327)(27, 123, 219, 315, 40, 136, 232, 328)(28, 124, 220, 316, 41, 137, 233, 329)(29, 125, 221, 317, 42, 138, 234, 330)(30, 126, 222, 318, 43, 139, 235, 331)(31, 127, 223, 319, 44, 140, 236, 332)(35, 131, 227, 323, 45, 141, 237, 333)(36, 132, 228, 324, 46, 142, 238, 334)(37, 133, 229, 325, 47, 143, 239, 335)(38, 134, 230, 326, 48, 144, 240, 336)(49, 145, 241, 337, 57, 153, 249, 345)(50, 146, 242, 338, 58, 154, 250, 346)(51, 147, 243, 339, 59, 155, 251, 347)(52, 148, 244, 340, 60, 156, 252, 348)(53, 149, 245, 341, 61, 157, 253, 349)(54, 150, 246, 342, 62, 158, 254, 350)(55, 151, 247, 343, 63, 159, 255, 351)(56, 152, 248, 344, 64, 160, 256, 352)(65, 161, 257, 353, 73, 169, 265, 361)(66, 162, 258, 354, 74, 170, 266, 362)(67, 163, 259, 355, 75, 171, 267, 363)(68, 164, 260, 356, 76, 172, 268, 364)(69, 165, 261, 357, 77, 173, 269, 365)(70, 166, 262, 358, 78, 174, 270, 366)(71, 167, 263, 359, 79, 175, 271, 367)(72, 168, 264, 360, 80, 176, 272, 368)(81, 177, 273, 369, 89, 185, 281, 377)(82, 178, 274, 370, 90, 186, 282, 378)(83, 179, 275, 371, 91, 187, 283, 379)(84, 180, 276, 372, 92, 188, 284, 380)(85, 181, 277, 373, 93, 189, 285, 381)(86, 182, 278, 374, 94, 190, 286, 382)(87, 183, 279, 375, 95, 191, 287, 383)(88, 184, 280, 376, 96, 192, 288, 384)
	L = (1, 98)(2, 97)(3, 101)(4, 104)(5, 99)(6, 107)(7, 109)(8, 100)(9, 111)(10, 114)(11, 102)(12, 116)(13, 103)(14, 119)(15, 105)(16, 123)(17, 125)(18, 106)(19, 127)(20, 108)(21, 131)(22, 133)(23, 110)(24, 132)(25, 134)(26, 130)(27, 112)(28, 128)(29, 113)(30, 129)(31, 115)(32, 124)(33, 126)(34, 122)(35, 117)(36, 120)(37, 118)(38, 121)(39, 140)(40, 145)(41, 147)(42, 146)(43, 148)(44, 135)(45, 149)(46, 151)(47, 150)(48, 152)(49, 136)(50, 138)(51, 137)(52, 139)(53, 141)(54, 143)(55, 142)(56, 144)(57, 161)(58, 163)(59, 162)(60, 164)(61, 165)(62, 167)(63, 166)(64, 168)(65, 153)(66, 155)(67, 154)(68, 156)(69, 157)(70, 159)(71, 158)(72, 160)(73, 177)(74, 179)(75, 178)(76, 180)(77, 181)(78, 183)(79, 182)(80, 184)(81, 169)(82, 171)(83, 170)(84, 172)(85, 173)(86, 175)(87, 174)(88, 176)(89, 192)(90, 191)(91, 190)(92, 189)(93, 188)(94, 187)(95, 186)(96, 185)(193, 291)(194, 293)(195, 289)(196, 297)(197, 290)(198, 300)(199, 302)(200, 303)(201, 292)(202, 307)(203, 308)(204, 294)(205, 311)(206, 295)(207, 296)(208, 316)(209, 318)(210, 319)(211, 298)(212, 299)(213, 324)(214, 326)(215, 301)(216, 323)(217, 325)(218, 327)(219, 320)(220, 304)(221, 321)(222, 305)(223, 306)(224, 315)(225, 317)(226, 332)(227, 312)(228, 309)(229, 313)(230, 310)(231, 314)(232, 338)(233, 340)(234, 337)(235, 339)(236, 322)(237, 342)(238, 344)(239, 341)(240, 343)(241, 330)(242, 328)(243, 331)(244, 329)(245, 335)(246, 333)(247, 336)(248, 334)(249, 354)(250, 356)(251, 353)(252, 355)(253, 358)(254, 360)(255, 357)(256, 359)(257, 347)(258, 345)(259, 348)(260, 346)(261, 351)(262, 349)(263, 352)(264, 350)(265, 370)(266, 372)(267, 369)(268, 371)(269, 374)(270, 376)(271, 373)(272, 375)(273, 363)(274, 361)(275, 364)(276, 362)(277, 367)(278, 365)(279, 368)(280, 366)(281, 382)(282, 381)(283, 384)(284, 383)(285, 378)(286, 377)(287, 380)(288, 379)
	local type(s) :: { ( 2, 8, 2, 8, 2, 8, 2, 8 ) }
Outer automorphisms :: reflexible
Dual of E13.1383
Transitivity :: VT+
Graph:: bipartite
	v = 48 e = 192 f = 120
	degree seq :: [ 8^48 ]

E13.1386 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 2, 4})
Quotient :: loop^2
Aut^+ = (C2 x D24) : C2 (small group id <96, 115>)
Aut   = $<192, 381>$ (small group id <192, 381>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, Y3^2, R^2, (R * Y3)^2, R * Y1 * R * Y2, Y2 * Y3 * Y2 * Y1 * Y3 * Y1, (Y1 * Y2)^4, Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y1 * Y3 * Y2 * Y3 * Y2 * Y3 * 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, 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, 25, 121, 217, 313)(17, 113, 209, 305, 27, 123, 219, 315)(20, 116, 212, 308, 31, 127, 223, 319)(22, 118, 214, 310, 33, 129, 225, 321)(26, 122, 218, 314, 37, 133, 229, 325)(28, 124, 220, 316, 39, 135, 231, 327)(29, 125, 221, 317, 40, 136, 232, 328)(30, 126, 222, 318, 41, 137, 233, 329)(32, 128, 224, 320, 42, 138, 234, 330)(34, 130, 226, 322, 44, 140, 236, 332)(35, 131, 227, 323, 45, 141, 237, 333)(36, 132, 228, 324, 46, 142, 238, 334)(38, 134, 230, 326, 47, 143, 239, 335)(43, 139, 235, 331, 52, 148, 244, 340)(48, 144, 240, 336, 57, 153, 249, 345)(49, 145, 241, 337, 58, 154, 250, 346)(50, 146, 242, 338, 59, 155, 251, 347)(51, 147, 243, 339, 60, 156, 252, 348)(53, 149, 245, 341, 61, 157, 253, 349)(54, 150, 246, 342, 62, 158, 254, 350)(55, 151, 247, 343, 63, 159, 255, 351)(56, 152, 248, 344, 64, 160, 256, 352)(65, 161, 257, 353, 73, 169, 265, 361)(66, 162, 258, 354, 74, 170, 266, 362)(67, 163, 259, 355, 75, 171, 267, 363)(68, 164, 260, 356, 76, 172, 268, 364)(69, 165, 261, 357, 77, 173, 269, 365)(70, 166, 262, 358, 78, 174, 270, 366)(71, 167, 263, 359, 79, 175, 271, 367)(72, 168, 264, 360, 80, 176, 272, 368)(81, 177, 273, 369, 89, 185, 281, 377)(82, 178, 274, 370, 90, 186, 282, 378)(83, 179, 275, 371, 91, 187, 283, 379)(84, 180, 276, 372, 92, 188, 284, 380)(85, 181, 277, 373, 93, 189, 285, 381)(86, 182, 278, 374, 94, 190, 286, 382)(87, 183, 279, 375, 95, 191, 287, 383)(88, 184, 280, 376, 96, 192, 288, 384)
	L = (1, 98)(2, 97)(3, 103)(4, 105)(5, 107)(6, 109)(7, 99)(8, 113)(9, 100)(10, 112)(11, 101)(12, 118)(13, 102)(14, 117)(15, 116)(16, 106)(17, 104)(18, 124)(19, 126)(20, 111)(21, 110)(22, 108)(23, 130)(24, 132)(25, 128)(26, 127)(27, 131)(28, 114)(29, 129)(30, 115)(31, 122)(32, 121)(33, 125)(34, 119)(35, 123)(36, 120)(37, 139)(38, 138)(39, 144)(40, 146)(41, 145)(42, 134)(43, 133)(44, 149)(45, 151)(46, 150)(47, 152)(48, 135)(49, 137)(50, 136)(51, 148)(52, 147)(53, 140)(54, 142)(55, 141)(56, 143)(57, 161)(58, 163)(59, 162)(60, 164)(61, 165)(62, 167)(63, 166)(64, 168)(65, 153)(66, 155)(67, 154)(68, 156)(69, 157)(70, 159)(71, 158)(72, 160)(73, 177)(74, 179)(75, 178)(76, 180)(77, 181)(78, 183)(79, 182)(80, 184)(81, 169)(82, 171)(83, 170)(84, 172)(85, 173)(86, 175)(87, 174)(88, 176)(89, 192)(90, 190)(91, 191)(92, 189)(93, 188)(94, 186)(95, 187)(96, 185)(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, 314)(209, 313)(210, 317)(211, 316)(212, 299)(213, 320)(214, 319)(215, 323)(216, 322)(217, 305)(218, 304)(219, 326)(220, 307)(221, 306)(222, 325)(223, 310)(224, 309)(225, 331)(226, 312)(227, 311)(228, 330)(229, 318)(230, 315)(231, 337)(232, 336)(233, 339)(234, 324)(235, 321)(236, 342)(237, 341)(238, 344)(239, 343)(240, 328)(241, 327)(242, 340)(243, 329)(244, 338)(245, 333)(246, 332)(247, 335)(248, 334)(249, 354)(250, 353)(251, 356)(252, 355)(253, 358)(254, 357)(255, 360)(256, 359)(257, 346)(258, 345)(259, 348)(260, 347)(261, 350)(262, 349)(263, 352)(264, 351)(265, 370)(266, 369)(267, 372)(268, 371)(269, 374)(270, 373)(271, 376)(272, 375)(273, 362)(274, 361)(275, 364)(276, 363)(277, 366)(278, 365)(279, 368)(280, 367)(281, 383)(282, 384)(283, 381)(284, 382)(285, 379)(286, 380)(287, 377)(288, 378)
	local type(s) :: { ( 2, 8, 2, 8, 2, 8, 2, 8 ) }
Outer automorphisms :: reflexible
Dual of E13.1384
Transitivity :: VT+
Graph:: bipartite
	v = 48 e = 192 f = 120
	degree seq :: [ 8^48 ]

E13.1387 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 2, 4})
Quotient :: loop^2
Aut^+ = (C2 x D24) : C2 (small group id <96, 115>)
Aut   = $<192, 306>$ (small group id <192, 306>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, (Y1 * Y2)^2, Y3^4, (R * Y3)^2, R * Y1 * R * Y2, (Y3^-1 * Y1 * Y3^-1)^2, Y1 * Y3^-1 * Y1 * Y2 * Y3^-1 * Y2, (Y3^-1 * Y2 * Y3^-1)^2, Y3^-1 * Y1 * Y3^-1 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 ]
Map::
	R = (1, 97, 193, 289, 4, 100, 196, 292, 13, 109, 205, 301, 5, 101, 197, 293)(2, 98, 194, 290, 7, 103, 199, 295, 20, 116, 212, 308, 8, 104, 200, 296)(3, 99, 195, 291, 9, 105, 201, 297, 23, 119, 215, 311, 10, 106, 202, 298)(6, 102, 198, 294, 16, 112, 208, 304, 28, 124, 220, 316, 17, 113, 209, 305)(11, 107, 203, 299, 24, 120, 216, 312, 14, 110, 206, 302, 25, 121, 217, 313)(12, 108, 204, 300, 26, 122, 218, 314, 15, 111, 207, 303, 27, 123, 219, 315)(18, 114, 210, 306, 29, 125, 221, 317, 21, 117, 213, 309, 30, 126, 222, 318)(19, 115, 211, 307, 31, 127, 223, 319, 22, 118, 214, 310, 32, 128, 224, 320)(33, 129, 225, 321, 41, 137, 233, 329, 35, 131, 227, 323, 42, 138, 234, 330)(34, 130, 226, 322, 43, 139, 235, 331, 36, 132, 228, 324, 44, 140, 236, 332)(37, 133, 229, 325, 45, 141, 237, 333, 39, 135, 231, 327, 46, 142, 238, 334)(38, 134, 230, 326, 47, 143, 239, 335, 40, 136, 232, 328, 48, 144, 240, 336)(49, 145, 241, 337, 57, 153, 249, 345, 51, 147, 243, 339, 58, 154, 250, 346)(50, 146, 242, 338, 59, 155, 251, 347, 52, 148, 244, 340, 60, 156, 252, 348)(53, 149, 245, 341, 61, 157, 253, 349, 55, 151, 247, 343, 62, 158, 254, 350)(54, 150, 246, 342, 63, 159, 255, 351, 56, 152, 248, 344, 64, 160, 256, 352)(65, 161, 257, 353, 73, 169, 265, 361, 67, 163, 259, 355, 74, 170, 266, 362)(66, 162, 258, 354, 75, 171, 267, 363, 68, 164, 260, 356, 76, 172, 268, 364)(69, 165, 261, 357, 77, 173, 269, 365, 71, 167, 263, 359, 78, 174, 270, 366)(70, 166, 262, 358, 79, 175, 271, 367, 72, 168, 264, 360, 80, 176, 272, 368)(81, 177, 273, 369, 89, 185, 281, 377, 83, 179, 275, 371, 90, 186, 282, 378)(82, 178, 274, 370, 91, 187, 283, 379, 84, 180, 276, 372, 92, 188, 284, 380)(85, 181, 277, 373, 93, 189, 285, 381, 87, 183, 279, 375, 94, 190, 286, 382)(86, 182, 278, 374, 95, 191, 287, 383, 88, 184, 280, 376, 96, 192, 288, 384)
	L = (1, 98)(2, 97)(3, 102)(4, 107)(5, 110)(6, 99)(7, 114)(8, 117)(9, 118)(10, 115)(11, 100)(12, 113)(13, 116)(14, 101)(15, 112)(16, 111)(17, 108)(18, 103)(19, 106)(20, 109)(21, 104)(22, 105)(23, 124)(24, 129)(25, 131)(26, 132)(27, 130)(28, 119)(29, 133)(30, 135)(31, 136)(32, 134)(33, 120)(34, 123)(35, 121)(36, 122)(37, 125)(38, 128)(39, 126)(40, 127)(41, 145)(42, 147)(43, 148)(44, 146)(45, 149)(46, 151)(47, 152)(48, 150)(49, 137)(50, 140)(51, 138)(52, 139)(53, 141)(54, 144)(55, 142)(56, 143)(57, 161)(58, 163)(59, 164)(60, 162)(61, 165)(62, 167)(63, 168)(64, 166)(65, 153)(66, 156)(67, 154)(68, 155)(69, 157)(70, 160)(71, 158)(72, 159)(73, 177)(74, 179)(75, 180)(76, 178)(77, 181)(78, 183)(79, 184)(80, 182)(81, 169)(82, 172)(83, 170)(84, 171)(85, 173)(86, 176)(87, 174)(88, 175)(89, 190)(90, 189)(91, 192)(92, 191)(93, 186)(94, 185)(95, 188)(96, 187)(193, 291)(194, 294)(195, 289)(196, 300)(197, 303)(198, 290)(199, 307)(200, 310)(201, 309)(202, 306)(203, 305)(204, 292)(205, 311)(206, 304)(207, 293)(208, 302)(209, 299)(210, 298)(211, 295)(212, 316)(213, 297)(214, 296)(215, 301)(216, 322)(217, 324)(218, 323)(219, 321)(220, 308)(221, 326)(222, 328)(223, 327)(224, 325)(225, 315)(226, 312)(227, 314)(228, 313)(229, 320)(230, 317)(231, 319)(232, 318)(233, 338)(234, 340)(235, 339)(236, 337)(237, 342)(238, 344)(239, 343)(240, 341)(241, 332)(242, 329)(243, 331)(244, 330)(245, 336)(246, 333)(247, 335)(248, 334)(249, 354)(250, 356)(251, 355)(252, 353)(253, 358)(254, 360)(255, 359)(256, 357)(257, 348)(258, 345)(259, 347)(260, 346)(261, 352)(262, 349)(263, 351)(264, 350)(265, 370)(266, 372)(267, 371)(268, 369)(269, 374)(270, 376)(271, 375)(272, 373)(273, 364)(274, 361)(275, 363)(276, 362)(277, 368)(278, 365)(279, 367)(280, 366)(281, 383)(282, 384)(283, 381)(284, 382)(285, 379)(286, 380)(287, 377)(288, 378)
	local type(s) :: { ( 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4 ) }
Outer automorphisms :: reflexible
Dual of E13.1381
Transitivity :: VT+
Graph:: bipartite
	v = 24 e = 192 f = 144
	degree seq :: [ 16^24 ]

E13.1388 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 2, 4})
Quotient :: loop^2
Aut^+ = (C2 x D24) : C2 (small group id <96, 115>)
Aut   = $<192, 381>$ (small group id <192, 381>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, (R * Y3)^2, R * Y1 * R * Y2, Y3^4, (Y3^-1 * Y1 * Y3^-1)^2, Y2 * Y3^-1 * Y2 * Y1 * Y3 * Y1, (Y3^-1 * Y2 * Y3^-1)^2, Y2 * Y1 * Y2 * Y3^-2 * Y1, (Y1 * Y3^-1 * Y2)^2, Y3^-1 * Y1 * Y3^-1 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 ]
Map::
	R = (1, 97, 193, 289, 4, 100, 196, 292, 14, 110, 206, 302, 5, 101, 197, 293)(2, 98, 194, 290, 7, 103, 199, 295, 22, 118, 214, 310, 8, 104, 200, 296)(3, 99, 195, 291, 10, 106, 202, 298, 17, 113, 209, 305, 11, 107, 203, 299)(6, 102, 198, 294, 18, 114, 210, 306, 9, 105, 201, 297, 19, 115, 211, 307)(12, 108, 204, 300, 25, 121, 217, 313, 15, 111, 207, 303, 26, 122, 218, 314)(13, 109, 205, 301, 27, 123, 219, 315, 16, 112, 208, 304, 28, 124, 220, 316)(20, 116, 212, 308, 29, 125, 221, 317, 23, 119, 215, 311, 30, 126, 222, 318)(21, 117, 213, 309, 31, 127, 223, 319, 24, 120, 216, 312, 32, 128, 224, 320)(33, 129, 225, 321, 41, 137, 233, 329, 35, 131, 227, 323, 42, 138, 234, 330)(34, 130, 226, 322, 43, 139, 235, 331, 36, 132, 228, 324, 44, 140, 236, 332)(37, 133, 229, 325, 45, 141, 237, 333, 39, 135, 231, 327, 46, 142, 238, 334)(38, 134, 230, 326, 47, 143, 239, 335, 40, 136, 232, 328, 48, 144, 240, 336)(49, 145, 241, 337, 57, 153, 249, 345, 51, 147, 243, 339, 58, 154, 250, 346)(50, 146, 242, 338, 59, 155, 251, 347, 52, 148, 244, 340, 60, 156, 252, 348)(53, 149, 245, 341, 61, 157, 253, 349, 55, 151, 247, 343, 62, 158, 254, 350)(54, 150, 246, 342, 63, 159, 255, 351, 56, 152, 248, 344, 64, 160, 256, 352)(65, 161, 257, 353, 73, 169, 265, 361, 67, 163, 259, 355, 74, 170, 266, 362)(66, 162, 258, 354, 75, 171, 267, 363, 68, 164, 260, 356, 76, 172, 268, 364)(69, 165, 261, 357, 77, 173, 269, 365, 71, 167, 263, 359, 78, 174, 270, 366)(70, 166, 262, 358, 79, 175, 271, 367, 72, 168, 264, 360, 80, 176, 272, 368)(81, 177, 273, 369, 89, 185, 281, 377, 83, 179, 275, 371, 90, 186, 282, 378)(82, 178, 274, 370, 91, 187, 283, 379, 84, 180, 276, 372, 92, 188, 284, 380)(85, 181, 277, 373, 93, 189, 285, 381, 87, 183, 279, 375, 94, 190, 286, 382)(86, 182, 278, 374, 95, 191, 287, 383, 88, 184, 280, 376, 96, 192, 288, 384)
	L = (1, 98)(2, 97)(3, 105)(4, 108)(5, 111)(6, 113)(7, 116)(8, 119)(9, 99)(10, 120)(11, 117)(12, 100)(13, 115)(14, 118)(15, 101)(16, 114)(17, 102)(18, 112)(19, 109)(20, 103)(21, 107)(22, 110)(23, 104)(24, 106)(25, 129)(26, 131)(27, 132)(28, 130)(29, 133)(30, 135)(31, 136)(32, 134)(33, 121)(34, 124)(35, 122)(36, 123)(37, 125)(38, 128)(39, 126)(40, 127)(41, 145)(42, 147)(43, 148)(44, 146)(45, 149)(46, 151)(47, 152)(48, 150)(49, 137)(50, 140)(51, 138)(52, 139)(53, 141)(54, 144)(55, 142)(56, 143)(57, 161)(58, 163)(59, 164)(60, 162)(61, 165)(62, 167)(63, 168)(64, 166)(65, 153)(66, 156)(67, 154)(68, 155)(69, 157)(70, 160)(71, 158)(72, 159)(73, 177)(74, 179)(75, 180)(76, 178)(77, 181)(78, 183)(79, 184)(80, 182)(81, 169)(82, 172)(83, 170)(84, 171)(85, 173)(86, 176)(87, 174)(88, 175)(89, 190)(90, 189)(91, 191)(92, 192)(93, 186)(94, 185)(95, 187)(96, 188)(193, 291)(194, 294)(195, 289)(196, 301)(197, 304)(198, 290)(199, 309)(200, 312)(201, 310)(202, 308)(203, 311)(204, 306)(205, 292)(206, 305)(207, 307)(208, 293)(209, 302)(210, 300)(211, 303)(212, 298)(213, 295)(214, 297)(215, 299)(216, 296)(217, 322)(218, 324)(219, 321)(220, 323)(221, 326)(222, 328)(223, 325)(224, 327)(225, 315)(226, 313)(227, 316)(228, 314)(229, 319)(230, 317)(231, 320)(232, 318)(233, 338)(234, 340)(235, 337)(236, 339)(237, 342)(238, 344)(239, 341)(240, 343)(241, 331)(242, 329)(243, 332)(244, 330)(245, 335)(246, 333)(247, 336)(248, 334)(249, 354)(250, 356)(251, 353)(252, 355)(253, 358)(254, 360)(255, 357)(256, 359)(257, 347)(258, 345)(259, 348)(260, 346)(261, 351)(262, 349)(263, 352)(264, 350)(265, 370)(266, 372)(267, 369)(268, 371)(269, 374)(270, 376)(271, 373)(272, 375)(273, 363)(274, 361)(275, 364)(276, 362)(277, 367)(278, 365)(279, 368)(280, 366)(281, 384)(282, 383)(283, 382)(284, 381)(285, 380)(286, 379)(287, 378)(288, 377)
	local type(s) :: { ( 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4 ) }
Outer automorphisms :: reflexible
Dual of E13.1382
Transitivity :: VT+
Graph:: bipartite
	v = 24 e = 192 f = 144
	degree seq :: [ 16^24 ]

E13.1389 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 4})
Quotient :: dipole
Aut^+ = (C2 x D24) : C2 (small group id <96, 115>)
Aut   = $<192, 1305>$ (small group id <192, 1305>)
|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 * Y3 * Y1 * Y2 * Y3 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * 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, 21, 117)(16, 112, 19, 115)(17, 113, 22, 118)(18, 114, 28, 124)(24, 120, 35, 131)(25, 121, 34, 130)(26, 122, 32, 128)(27, 123, 31, 127)(29, 125, 39, 135)(30, 126, 38, 134)(33, 129, 41, 137)(36, 132, 44, 140)(37, 133, 45, 141)(40, 136, 48, 144)(42, 138, 51, 147)(43, 139, 50, 146)(46, 142, 55, 151)(47, 143, 54, 150)(49, 145, 57, 153)(52, 148, 60, 156)(53, 149, 61, 157)(56, 152, 64, 160)(58, 154, 67, 163)(59, 155, 66, 162)(62, 158, 71, 167)(63, 159, 70, 166)(65, 161, 73, 169)(68, 164, 76, 172)(69, 165, 77, 173)(72, 168, 80, 176)(74, 170, 83, 179)(75, 171, 82, 178)(78, 174, 87, 183)(79, 175, 86, 182)(81, 177, 89, 185)(84, 180, 92, 188)(85, 181, 93, 189)(88, 184, 96, 192)(90, 186, 94, 190)(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, 221, 317)(212, 308, 222, 318)(214, 310, 224, 320)(215, 311, 225, 321)(218, 314, 228, 324)(220, 316, 229, 325)(223, 319, 232, 328)(226, 322, 234, 330)(227, 323, 235, 331)(230, 326, 238, 334)(231, 327, 239, 335)(233, 329, 241, 337)(236, 332, 244, 340)(237, 333, 245, 341)(240, 336, 248, 344)(242, 338, 250, 346)(243, 339, 251, 347)(246, 342, 254, 350)(247, 343, 255, 351)(249, 345, 257, 353)(252, 348, 260, 356)(253, 349, 261, 357)(256, 352, 264, 360)(258, 354, 266, 362)(259, 355, 267, 363)(262, 358, 270, 366)(263, 359, 271, 367)(265, 361, 273, 369)(268, 364, 276, 372)(269, 365, 277, 373)(272, 368, 280, 376)(274, 370, 282, 378)(275, 371, 283, 379)(278, 374, 286, 382)(279, 375, 287, 383)(281, 377, 288, 384)(284, 380, 285, 381)
	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, 221)(19, 202)(20, 223)(21, 224)(22, 204)(23, 226)(24, 205)(25, 228)(26, 207)(27, 208)(28, 230)(29, 210)(30, 232)(31, 212)(32, 213)(33, 234)(34, 215)(35, 236)(36, 217)(37, 238)(38, 220)(39, 240)(40, 222)(41, 242)(42, 225)(43, 244)(44, 227)(45, 246)(46, 229)(47, 248)(48, 231)(49, 250)(50, 233)(51, 252)(52, 235)(53, 254)(54, 237)(55, 256)(56, 239)(57, 258)(58, 241)(59, 260)(60, 243)(61, 262)(62, 245)(63, 264)(64, 247)(65, 266)(66, 249)(67, 268)(68, 251)(69, 270)(70, 253)(71, 272)(72, 255)(73, 274)(74, 257)(75, 276)(76, 259)(77, 278)(78, 261)(79, 280)(80, 263)(81, 282)(82, 265)(83, 284)(84, 267)(85, 286)(86, 269)(87, 288)(88, 271)(89, 287)(90, 273)(91, 285)(92, 275)(93, 283)(94, 277)(95, 281)(96, 279)(97, 289)(98, 290)(99, 291)(100, 292)(101, 293)(102, 294)(103, 295)(104, 296)(105, 297)(106, 298)(107, 299)(108, 300)(109, 301)(110, 302)(111, 303)(112, 304)(113, 305)(114, 306)(115, 307)(116, 308)(117, 309)(118, 310)(119, 311)(120, 312)(121, 313)(122, 314)(123, 315)(124, 316)(125, 317)(126, 318)(127, 319)(128, 320)(129, 321)(130, 322)(131, 323)(132, 324)(133, 325)(134, 326)(135, 327)(136, 328)(137, 329)(138, 330)(139, 331)(140, 332)(141, 333)(142, 334)(143, 335)(144, 336)(145, 337)(146, 338)(147, 339)(148, 340)(149, 341)(150, 342)(151, 343)(152, 344)(153, 345)(154, 346)(155, 347)(156, 348)(157, 349)(158, 350)(159, 351)(160, 352)(161, 353)(162, 354)(163, 355)(164, 356)(165, 357)(166, 358)(167, 359)(168, 360)(169, 361)(170, 362)(171, 363)(172, 364)(173, 365)(174, 366)(175, 367)(176, 368)(177, 369)(178, 370)(179, 371)(180, 372)(181, 373)(182, 374)(183, 375)(184, 376)(185, 377)(186, 378)(187, 379)(188, 380)(189, 381)(190, 382)(191, 383)(192, 384)
	local type(s) :: { ( 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E13.1393
Graph:: simple bipartite
	v = 96 e = 192 f = 72
	degree seq :: [ 4^96 ]

E13.1390 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 4})
Quotient :: dipole
Aut^+ = (C2 x D24) : C2 (small group id <96, 115>)
Aut   = $<192, 1311>$ (small group id <192, 1311>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^4, (Y3 * Y2)^2, (R * Y1)^2, (R * Y3)^2, Y3 * Y1 * Y3^-1 * Y1, (R * Y2 * Y3^-1)^2, 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 ]
Map:: polytopal non-degenerate
	R = (1, 97, 2, 98)(3, 99, 9, 105)(4, 100, 7, 103)(5, 101, 8, 104)(6, 102, 13, 109)(10, 106, 18, 114)(11, 107, 19, 115)(12, 108, 16, 112)(14, 110, 22, 118)(15, 111, 23, 119)(17, 113, 25, 121)(20, 116, 28, 124)(21, 117, 29, 125)(24, 120, 32, 128)(26, 122, 34, 130)(27, 123, 35, 131)(30, 126, 38, 134)(31, 127, 39, 135)(33, 129, 41, 137)(36, 132, 44, 140)(37, 133, 45, 141)(40, 136, 48, 144)(42, 138, 50, 146)(43, 139, 51, 147)(46, 142, 54, 150)(47, 143, 55, 151)(49, 145, 57, 153)(52, 148, 60, 156)(53, 149, 61, 157)(56, 152, 64, 160)(58, 154, 66, 162)(59, 155, 67, 163)(62, 158, 70, 166)(63, 159, 71, 167)(65, 161, 73, 169)(68, 164, 76, 172)(69, 165, 77, 173)(72, 168, 80, 176)(74, 170, 82, 178)(75, 171, 83, 179)(78, 174, 86, 182)(79, 175, 87, 183)(81, 177, 89, 185)(84, 180, 92, 188)(85, 181, 93, 189)(88, 184, 96, 192)(90, 186, 95, 191)(91, 187, 94, 190)(193, 289, 195, 291)(194, 290, 198, 294)(196, 292, 203, 299)(197, 293, 202, 298)(199, 295, 207, 303)(200, 296, 206, 302)(201, 297, 209, 305)(204, 300, 212, 308)(205, 301, 213, 309)(208, 304, 216, 312)(210, 306, 219, 315)(211, 307, 218, 314)(214, 310, 223, 319)(215, 311, 222, 318)(217, 313, 225, 321)(220, 316, 228, 324)(221, 317, 229, 325)(224, 320, 232, 328)(226, 322, 235, 331)(227, 323, 234, 330)(230, 326, 239, 335)(231, 327, 238, 334)(233, 329, 241, 337)(236, 332, 244, 340)(237, 333, 245, 341)(240, 336, 248, 344)(242, 338, 251, 347)(243, 339, 250, 346)(246, 342, 255, 351)(247, 343, 254, 350)(249, 345, 257, 353)(252, 348, 260, 356)(253, 349, 261, 357)(256, 352, 264, 360)(258, 354, 267, 363)(259, 355, 266, 362)(262, 358, 271, 367)(263, 359, 270, 366)(265, 361, 273, 369)(268, 364, 276, 372)(269, 365, 277, 373)(272, 368, 280, 376)(274, 370, 283, 379)(275, 371, 282, 378)(278, 374, 287, 383)(279, 375, 286, 382)(281, 377, 288, 384)(284, 380, 285, 381)
	L = (1, 196)(2, 199)(3, 202)(4, 204)(5, 193)(6, 206)(7, 208)(8, 194)(9, 210)(10, 212)(11, 195)(12, 197)(13, 214)(14, 216)(15, 198)(16, 200)(17, 218)(18, 220)(19, 201)(20, 203)(21, 222)(22, 224)(23, 205)(24, 207)(25, 226)(26, 228)(27, 209)(28, 211)(29, 230)(30, 232)(31, 213)(32, 215)(33, 234)(34, 236)(35, 217)(36, 219)(37, 238)(38, 240)(39, 221)(40, 223)(41, 242)(42, 244)(43, 225)(44, 227)(45, 246)(46, 248)(47, 229)(48, 231)(49, 250)(50, 252)(51, 233)(52, 235)(53, 254)(54, 256)(55, 237)(56, 239)(57, 258)(58, 260)(59, 241)(60, 243)(61, 262)(62, 264)(63, 245)(64, 247)(65, 266)(66, 268)(67, 249)(68, 251)(69, 270)(70, 272)(71, 253)(72, 255)(73, 274)(74, 276)(75, 257)(76, 259)(77, 278)(78, 280)(79, 261)(80, 263)(81, 282)(82, 284)(83, 265)(84, 267)(85, 286)(86, 288)(87, 269)(88, 271)(89, 287)(90, 285)(91, 273)(92, 275)(93, 283)(94, 281)(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, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E13.1394
Graph:: simple bipartite
	v = 96 e = 192 f = 72
	degree seq :: [ 4^96 ]

E13.1391 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 4})
Quotient :: dipole
Aut^+ = (C2 x D24) : C2 (small group id <96, 115>)
Aut   = $<192, 1331>$ (small group id <192, 1331>)
|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, (Y3 * Y1)^4, (Y3 * Y1 * Y2 * Y1)^2, Y2 * Y3 * Y1 * Y2 * Y1 * Y2 * Y1 * Y3^-1 * Y2 * Y1, Y1 * Y2 * Y1 * Y2 * Y3^-1 * Y1 * Y3 * Y2 * Y1 * Y3 * Y2 * Y3^-1 ]
Map:: polytopal non-degenerate
	R = (1, 97, 2, 98)(3, 99, 9, 105)(4, 100, 12, 108)(5, 101, 14, 110)(6, 102, 16, 112)(7, 103, 19, 115)(8, 104, 21, 117)(10, 106, 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, 44, 140)(32, 128, 48, 144)(33, 129, 62, 158)(34, 130, 37, 133)(35, 131, 45, 141)(36, 132, 64, 160)(40, 136, 68, 164)(42, 138, 67, 163)(46, 142, 77, 173)(50, 146, 65, 161)(51, 147, 81, 177)(54, 150, 69, 165)(55, 151, 76, 172)(56, 152, 75, 171)(57, 153, 85, 181)(58, 154, 79, 175)(59, 155, 78, 174)(60, 156, 71, 167)(61, 157, 70, 166)(63, 159, 74, 170)(66, 162, 90, 186)(72, 168, 94, 190)(73, 169, 88, 184)(80, 176, 93, 189)(82, 178, 95, 191)(83, 179, 96, 192)(84, 180, 89, 185)(86, 182, 91, 187)(87, 183, 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, 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, 255, 351)(229, 325, 258, 354)(230, 326, 257, 353)(231, 327, 261, 357)(233, 329, 265, 361)(236, 332, 268, 364)(237, 333, 267, 363)(238, 334, 264, 360)(240, 336, 270, 366)(241, 337, 263, 359)(244, 340, 274, 370)(245, 341, 272, 368)(247, 343, 276, 372)(248, 344, 256, 352)(251, 347, 278, 374)(254, 350, 279, 375)(259, 355, 283, 379)(260, 356, 281, 377)(262, 358, 285, 381)(266, 362, 287, 383)(269, 365, 288, 384)(271, 367, 286, 382)(273, 369, 284, 380)(275, 371, 282, 378)(277, 373, 280, 376)
	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, 254)(36, 257)(37, 259)(38, 208)(39, 262)(40, 264)(41, 266)(42, 210)(43, 267)(44, 213)(45, 211)(46, 214)(47, 268)(48, 269)(49, 271)(50, 272)(51, 215)(52, 275)(53, 217)(54, 256)(55, 220)(56, 218)(57, 221)(58, 276)(59, 277)(60, 279)(61, 222)(62, 224)(63, 226)(64, 280)(65, 281)(66, 228)(67, 284)(68, 230)(69, 241)(70, 233)(71, 231)(72, 234)(73, 285)(74, 286)(75, 288)(76, 235)(77, 237)(78, 239)(79, 287)(80, 282)(81, 283)(82, 243)(83, 245)(84, 246)(85, 248)(86, 250)(87, 255)(88, 278)(89, 273)(90, 274)(91, 258)(92, 260)(93, 261)(94, 263)(95, 265)(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, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E13.1395
Graph:: simple bipartite
	v = 96 e = 192 f = 72
	degree seq :: [ 4^96 ]

E13.1392 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 4})
Quotient :: dipole
Aut^+ = (C2 x D24) : C2 (small group id <96, 115>)
Aut   = $<192, 1333>$ (small group id <192, 1333>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, (Y3 * Y2)^2, (R * Y1)^2, (R * Y3)^2, (Y3^-2 * Y1)^2, (R * Y2 * Y3^-1)^2, Y3^-1 * Y1 * Y3^3 * Y1, Y3 * Y1 * Y2 * Y3^3 * Y2 * Y1, Y2 * Y1 * Y2 * Y1 * Y2 * Y3^-1 * Y1 * Y3 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1, (Y2 * Y1 * Y2 * R * Y1 * Y2 * 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, 36, 132)(18, 114, 38, 134)(23, 119, 43, 139)(24, 120, 42, 138)(25, 121, 40, 136)(27, 123, 47, 143)(29, 125, 46, 142)(30, 126, 35, 131)(31, 127, 41, 137)(32, 128, 34, 130)(33, 129, 52, 148)(37, 133, 56, 152)(39, 135, 55, 151)(44, 140, 64, 160)(45, 141, 66, 162)(48, 144, 63, 159)(49, 145, 60, 156)(50, 146, 62, 158)(51, 147, 58, 154)(53, 149, 72, 168)(54, 150, 74, 170)(57, 153, 71, 167)(59, 155, 70, 166)(61, 157, 77, 173)(65, 161, 81, 177)(67, 163, 80, 176)(68, 164, 83, 179)(69, 165, 85, 181)(73, 169, 89, 185)(75, 171, 88, 184)(76, 172, 91, 187)(78, 174, 90, 186)(79, 175, 87, 183)(82, 178, 86, 182)(84, 180, 92, 188)(93, 189, 96, 192)(94, 190, 95, 191)(193, 289, 195, 291)(194, 290, 198, 294)(196, 292, 203, 299)(197, 293, 202, 298)(199, 295, 210, 306)(200, 296, 209, 305)(201, 297, 215, 311)(204, 300, 222, 318)(205, 301, 221, 317)(206, 302, 224, 320)(207, 303, 219, 315)(208, 304, 225, 321)(211, 307, 232, 328)(212, 308, 231, 327)(213, 309, 234, 330)(214, 310, 229, 325)(216, 312, 237, 333)(217, 313, 236, 332)(218, 314, 240, 336)(220, 316, 242, 338)(223, 319, 243, 339)(226, 322, 246, 342)(227, 323, 245, 341)(228, 324, 249, 345)(230, 326, 251, 347)(233, 329, 252, 348)(235, 331, 253, 349)(238, 334, 259, 355)(239, 335, 257, 353)(241, 337, 260, 356)(244, 340, 261, 357)(247, 343, 267, 363)(248, 344, 265, 361)(250, 346, 268, 364)(254, 350, 271, 367)(255, 351, 270, 366)(256, 352, 274, 370)(258, 354, 276, 372)(262, 358, 279, 375)(263, 359, 278, 374)(264, 360, 282, 378)(266, 362, 284, 380)(269, 365, 281, 377)(272, 368, 285, 381)(273, 369, 277, 373)(275, 371, 286, 382)(280, 376, 287, 383)(283, 379, 288, 384)
	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, 211)(14, 214)(15, 197)(16, 226)(17, 229)(18, 198)(19, 233)(20, 204)(21, 207)(22, 200)(23, 236)(24, 238)(25, 201)(26, 241)(27, 234)(28, 239)(29, 203)(30, 231)(31, 206)(32, 243)(33, 245)(34, 247)(35, 208)(36, 250)(37, 224)(38, 248)(39, 210)(40, 221)(41, 213)(42, 252)(43, 254)(44, 257)(45, 215)(46, 218)(47, 217)(48, 259)(49, 220)(50, 260)(51, 222)(52, 262)(53, 265)(54, 225)(55, 228)(56, 227)(57, 267)(58, 230)(59, 268)(60, 232)(61, 270)(62, 272)(63, 235)(64, 275)(65, 242)(66, 273)(67, 237)(68, 240)(69, 278)(70, 280)(71, 244)(72, 283)(73, 251)(74, 281)(75, 246)(76, 249)(77, 284)(78, 277)(79, 253)(80, 256)(81, 255)(82, 285)(83, 258)(84, 286)(85, 276)(86, 269)(87, 261)(88, 264)(89, 263)(90, 287)(91, 266)(92, 288)(93, 271)(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, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E13.1396
Graph:: simple bipartite
	v = 96 e = 192 f = 72
	degree seq :: [ 4^96 ]

E13.1393 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 4})
Quotient :: dipole
Aut^+ = (C2 x D24) : C2 (small group id <96, 115>)
Aut   = $<192, 1305>$ (small group id <192, 1305>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, Y1^4, (R * Y2)^2, (Y3 * Y2)^2, (R * Y1)^2, (Y3 * Y1^-1)^2, (R * Y3)^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^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 97, 2, 98, 6, 102, 5, 101)(3, 99, 9, 105, 14, 110, 11, 107)(4, 100, 12, 108, 15, 111, 8, 104)(7, 103, 16, 112, 13, 109, 18, 114)(10, 106, 21, 117, 24, 120, 20, 116)(17, 113, 27, 123, 23, 119, 26, 122)(19, 115, 29, 125, 22, 118, 31, 127)(25, 121, 33, 129, 28, 124, 35, 131)(30, 126, 39, 135, 32, 128, 38, 134)(34, 130, 43, 139, 36, 132, 42, 138)(37, 133, 45, 141, 40, 136, 47, 143)(41, 137, 49, 145, 44, 140, 51, 147)(46, 142, 55, 151, 48, 144, 54, 150)(50, 146, 59, 155, 52, 148, 58, 154)(53, 149, 61, 157, 56, 152, 63, 159)(57, 153, 65, 161, 60, 156, 67, 163)(62, 158, 71, 167, 64, 160, 70, 166)(66, 162, 75, 171, 68, 164, 74, 170)(69, 165, 77, 173, 72, 168, 79, 175)(73, 169, 81, 177, 76, 172, 83, 179)(78, 174, 87, 183, 80, 176, 86, 182)(82, 178, 91, 187, 84, 180, 90, 186)(85, 181, 92, 188, 88, 184, 89, 185)(93, 189, 95, 191, 94, 190, 96, 192)(193, 289, 195, 291)(194, 290, 199, 295)(196, 292, 202, 298)(197, 293, 205, 301)(198, 294, 206, 302)(200, 296, 209, 305)(201, 297, 211, 307)(203, 299, 214, 310)(204, 300, 215, 311)(207, 303, 216, 312)(208, 304, 217, 313)(210, 306, 220, 316)(212, 308, 222, 318)(213, 309, 224, 320)(218, 314, 226, 322)(219, 315, 228, 324)(221, 317, 229, 325)(223, 319, 232, 328)(225, 321, 233, 329)(227, 323, 236, 332)(230, 326, 238, 334)(231, 327, 240, 336)(234, 330, 242, 338)(235, 331, 244, 340)(237, 333, 245, 341)(239, 335, 248, 344)(241, 337, 249, 345)(243, 339, 252, 348)(246, 342, 254, 350)(247, 343, 256, 352)(250, 346, 258, 354)(251, 347, 260, 356)(253, 349, 261, 357)(255, 351, 264, 360)(257, 353, 265, 361)(259, 355, 268, 364)(262, 358, 270, 366)(263, 359, 272, 368)(266, 362, 274, 370)(267, 363, 276, 372)(269, 365, 277, 373)(271, 367, 280, 376)(273, 369, 281, 377)(275, 371, 284, 380)(278, 374, 285, 381)(279, 375, 286, 382)(282, 378, 287, 383)(283, 379, 288, 384)
	L = (1, 196)(2, 200)(3, 202)(4, 193)(5, 204)(6, 207)(7, 209)(8, 194)(9, 212)(10, 195)(11, 213)(12, 197)(13, 215)(14, 216)(15, 198)(16, 218)(17, 199)(18, 219)(19, 222)(20, 201)(21, 203)(22, 224)(23, 205)(24, 206)(25, 226)(26, 208)(27, 210)(28, 228)(29, 230)(30, 211)(31, 231)(32, 214)(33, 234)(34, 217)(35, 235)(36, 220)(37, 238)(38, 221)(39, 223)(40, 240)(41, 242)(42, 225)(43, 227)(44, 244)(45, 246)(46, 229)(47, 247)(48, 232)(49, 250)(50, 233)(51, 251)(52, 236)(53, 254)(54, 237)(55, 239)(56, 256)(57, 258)(58, 241)(59, 243)(60, 260)(61, 262)(62, 245)(63, 263)(64, 248)(65, 266)(66, 249)(67, 267)(68, 252)(69, 270)(70, 253)(71, 255)(72, 272)(73, 274)(74, 257)(75, 259)(76, 276)(77, 278)(78, 261)(79, 279)(80, 264)(81, 282)(82, 265)(83, 283)(84, 268)(85, 285)(86, 269)(87, 271)(88, 286)(89, 287)(90, 273)(91, 275)(92, 288)(93, 277)(94, 280)(95, 281)(96, 284)(97, 289)(98, 290)(99, 291)(100, 292)(101, 293)(102, 294)(103, 295)(104, 296)(105, 297)(106, 298)(107, 299)(108, 300)(109, 301)(110, 302)(111, 303)(112, 304)(113, 305)(114, 306)(115, 307)(116, 308)(117, 309)(118, 310)(119, 311)(120, 312)(121, 313)(122, 314)(123, 315)(124, 316)(125, 317)(126, 318)(127, 319)(128, 320)(129, 321)(130, 322)(131, 323)(132, 324)(133, 325)(134, 326)(135, 327)(136, 328)(137, 329)(138, 330)(139, 331)(140, 332)(141, 333)(142, 334)(143, 335)(144, 336)(145, 337)(146, 338)(147, 339)(148, 340)(149, 341)(150, 342)(151, 343)(152, 344)(153, 345)(154, 346)(155, 347)(156, 348)(157, 349)(158, 350)(159, 351)(160, 352)(161, 353)(162, 354)(163, 355)(164, 356)(165, 357)(166, 358)(167, 359)(168, 360)(169, 361)(170, 362)(171, 363)(172, 364)(173, 365)(174, 366)(175, 367)(176, 368)(177, 369)(178, 370)(179, 371)(180, 372)(181, 373)(182, 374)(183, 375)(184, 376)(185, 377)(186, 378)(187, 379)(188, 380)(189, 381)(190, 382)(191, 383)(192, 384)
	local type(s) :: { ( 4^4 ), ( 4^8 ) }
Outer automorphisms :: reflexible
Dual of E13.1389
Graph:: simple bipartite
	v = 72 e = 192 f = 96
	degree seq :: [ 4^48, 8^24 ]

E13.1394 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 4})
Quotient :: dipole
Aut^+ = (C2 x D24) : C2 (small group id <96, 115>)
Aut   = $<192, 1311>$ (small group id <192, 1311>)
|r| :: 2
Presentation :: [ Y2^2, R^2, Y3^2 * Y1^-2, Y1^4, (Y3 * Y2)^2, (R * Y3)^2, (R * Y1)^2, (Y3 * Y1^-1)^2, (Y3^-1 * Y1^-1)^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^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 97, 2, 98, 7, 103, 5, 101)(3, 99, 11, 107, 16, 112, 13, 109)(4, 100, 9, 105, 6, 102, 10, 106)(8, 104, 17, 113, 15, 111, 19, 115)(12, 108, 22, 118, 14, 110, 23, 119)(18, 114, 26, 122, 20, 116, 27, 123)(21, 117, 29, 125, 24, 120, 31, 127)(25, 121, 33, 129, 28, 124, 35, 131)(30, 126, 38, 134, 32, 128, 39, 135)(34, 130, 42, 138, 36, 132, 43, 139)(37, 133, 45, 141, 40, 136, 47, 143)(41, 137, 49, 145, 44, 140, 51, 147)(46, 142, 54, 150, 48, 144, 55, 151)(50, 146, 58, 154, 52, 148, 59, 155)(53, 149, 61, 157, 56, 152, 63, 159)(57, 153, 65, 161, 60, 156, 67, 163)(62, 158, 70, 166, 64, 160, 71, 167)(66, 162, 74, 170, 68, 164, 75, 171)(69, 165, 77, 173, 72, 168, 79, 175)(73, 169, 81, 177, 76, 172, 83, 179)(78, 174, 86, 182, 80, 176, 87, 183)(82, 178, 90, 186, 84, 180, 91, 187)(85, 181, 92, 188, 88, 184, 89, 185)(93, 189, 96, 192, 94, 190, 95, 191)(193, 289, 195, 291)(194, 290, 200, 296)(196, 292, 206, 302)(197, 293, 207, 303)(198, 294, 204, 300)(199, 295, 208, 304)(201, 297, 212, 308)(202, 298, 210, 306)(203, 299, 213, 309)(205, 301, 216, 312)(209, 305, 217, 313)(211, 307, 220, 316)(214, 310, 224, 320)(215, 311, 222, 318)(218, 314, 228, 324)(219, 315, 226, 322)(221, 317, 229, 325)(223, 319, 232, 328)(225, 321, 233, 329)(227, 323, 236, 332)(230, 326, 240, 336)(231, 327, 238, 334)(234, 330, 244, 340)(235, 331, 242, 338)(237, 333, 245, 341)(239, 335, 248, 344)(241, 337, 249, 345)(243, 339, 252, 348)(246, 342, 256, 352)(247, 343, 254, 350)(250, 346, 260, 356)(251, 347, 258, 354)(253, 349, 261, 357)(255, 351, 264, 360)(257, 353, 265, 361)(259, 355, 268, 364)(262, 358, 272, 368)(263, 359, 270, 366)(266, 362, 276, 372)(267, 363, 274, 370)(269, 365, 277, 373)(271, 367, 280, 376)(273, 369, 281, 377)(275, 371, 284, 380)(278, 374, 286, 382)(279, 375, 285, 381)(282, 378, 288, 384)(283, 379, 287, 383)
	L = (1, 196)(2, 201)(3, 204)(4, 199)(5, 202)(6, 193)(7, 198)(8, 210)(9, 197)(10, 194)(11, 214)(12, 208)(13, 215)(14, 195)(15, 212)(16, 206)(17, 218)(18, 207)(19, 219)(20, 200)(21, 222)(22, 205)(23, 203)(24, 224)(25, 226)(26, 211)(27, 209)(28, 228)(29, 230)(30, 216)(31, 231)(32, 213)(33, 234)(34, 220)(35, 235)(36, 217)(37, 238)(38, 223)(39, 221)(40, 240)(41, 242)(42, 227)(43, 225)(44, 244)(45, 246)(46, 232)(47, 247)(48, 229)(49, 250)(50, 236)(51, 251)(52, 233)(53, 254)(54, 239)(55, 237)(56, 256)(57, 258)(58, 243)(59, 241)(60, 260)(61, 262)(62, 248)(63, 263)(64, 245)(65, 266)(66, 252)(67, 267)(68, 249)(69, 270)(70, 255)(71, 253)(72, 272)(73, 274)(74, 259)(75, 257)(76, 276)(77, 278)(78, 264)(79, 279)(80, 261)(81, 282)(82, 268)(83, 283)(84, 265)(85, 285)(86, 271)(87, 269)(88, 286)(89, 287)(90, 275)(91, 273)(92, 288)(93, 280)(94, 277)(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) :: { ( 4^4 ), ( 4^8 ) }
Outer automorphisms :: reflexible
Dual of E13.1390
Graph:: simple bipartite
	v = 72 e = 192 f = 96
	degree seq :: [ 4^48, 8^24 ]

E13.1395 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 4})
Quotient :: dipole
Aut^+ = (C2 x D24) : C2 (small group id <96, 115>)
Aut   = $<192, 1331>$ (small group id <192, 1331>)
|r| :: 2
Presentation :: [ Y2^2, R^2, Y1^4, (R * Y3)^2, (Y3 * Y2)^2, (R * Y1)^2, (Y3 * Y1^-1)^2, (Y3^-1 * Y1^-1)^2, Y2 * Y1^2 * Y2 * Y1^-2, (Y1^-1 * Y2 * Y1^-1)^2, Y3^6, (R * Y2 * Y3^-1)^2, Y2 * R * Y1 * Y2 * Y1 * Y2 * Y1^-1 * R * Y2 * Y1^-1, Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y2 * Y1 ]
Map:: polytopal non-degenerate
	R = (1, 97, 2, 98, 7, 103, 5, 101)(3, 99, 11, 107, 20, 116, 13, 109)(4, 100, 15, 111, 21, 117, 10, 106)(6, 102, 18, 114, 22, 118, 9, 105)(8, 104, 23, 119, 17, 113, 25, 121)(12, 108, 32, 128, 42, 138, 31, 127)(14, 110, 35, 131, 43, 139, 30, 126)(16, 112, 28, 124, 44, 140, 38, 134)(19, 115, 27, 123, 45, 141, 41, 137)(24, 120, 49, 145, 37, 133, 48, 144)(26, 122, 52, 148, 40, 136, 47, 143)(29, 125, 55, 151, 34, 130, 57, 153)(33, 129, 60, 156, 69, 165, 62, 158)(36, 132, 59, 155, 70, 166, 65, 161)(39, 135, 67, 163, 71, 167, 54, 150)(46, 142, 72, 168, 51, 147, 74, 170)(50, 146, 77, 173, 66, 162, 79, 175)(53, 149, 76, 172, 68, 164, 82, 178)(56, 152, 73, 169, 61, 157, 78, 174)(58, 154, 84, 180, 64, 160, 83, 179)(63, 159, 87, 183, 90, 186, 86, 182)(75, 171, 92, 188, 81, 177, 91, 187)(80, 176, 95, 191, 89, 185, 94, 190)(85, 181, 96, 192, 88, 184, 93, 189)(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, 218, 314)(202, 298, 216, 312)(203, 299, 221, 317)(205, 301, 226, 322)(207, 303, 229, 325)(208, 304, 228, 324)(210, 306, 232, 328)(211, 307, 225, 321)(213, 309, 235, 331)(214, 310, 234, 330)(215, 311, 238, 334)(217, 313, 243, 339)(219, 315, 245, 341)(220, 316, 242, 338)(222, 318, 250, 346)(223, 319, 248, 344)(224, 320, 253, 349)(227, 323, 256, 352)(230, 326, 258, 354)(231, 327, 255, 351)(233, 329, 260, 356)(236, 332, 262, 358)(237, 333, 261, 357)(239, 335, 267, 363)(240, 336, 265, 361)(241, 337, 270, 366)(244, 340, 273, 369)(246, 342, 272, 368)(247, 343, 271, 367)(249, 345, 269, 365)(251, 347, 277, 373)(252, 348, 264, 360)(254, 350, 266, 362)(257, 353, 280, 376)(259, 355, 281, 377)(263, 359, 282, 378)(268, 364, 285, 381)(274, 370, 288, 384)(275, 371, 287, 383)(276, 372, 286, 382)(278, 374, 283, 379)(279, 375, 284, 380)
	L = (1, 196)(2, 201)(3, 204)(4, 208)(5, 210)(6, 193)(7, 213)(8, 216)(9, 219)(10, 194)(11, 222)(12, 225)(13, 227)(14, 195)(15, 197)(16, 231)(17, 229)(18, 233)(19, 198)(20, 234)(21, 236)(22, 199)(23, 239)(24, 242)(25, 244)(26, 200)(27, 246)(28, 202)(29, 248)(30, 251)(31, 203)(32, 205)(33, 255)(34, 253)(35, 257)(36, 206)(37, 258)(38, 207)(39, 211)(40, 209)(41, 259)(42, 261)(43, 212)(44, 263)(45, 214)(46, 265)(47, 268)(48, 215)(49, 217)(50, 272)(51, 270)(52, 274)(53, 218)(54, 220)(55, 275)(56, 264)(57, 276)(58, 221)(59, 278)(60, 223)(61, 266)(62, 224)(63, 228)(64, 226)(65, 279)(66, 281)(67, 230)(68, 232)(69, 282)(70, 235)(71, 237)(72, 283)(73, 249)(74, 284)(75, 238)(76, 286)(77, 240)(78, 247)(79, 241)(80, 245)(81, 243)(82, 287)(83, 288)(84, 285)(85, 250)(86, 252)(87, 254)(88, 256)(89, 260)(90, 262)(91, 277)(92, 280)(93, 267)(94, 269)(95, 271)(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) :: { ( 4^4 ), ( 4^8 ) }
Outer automorphisms :: reflexible
Dual of E13.1391
Graph:: simple bipartite
	v = 72 e = 192 f = 96
	degree seq :: [ 4^48, 8^24 ]

E13.1396 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 4})
Quotient :: dipole
Aut^+ = (C2 x D24) : C2 (small group id <96, 115>)
Aut   = $<192, 1333>$ (small group id <192, 1333>)
|r| :: 2
Presentation :: [ Y2^2, R^2, Y1^4, (Y3 * Y2)^2, (Y3 * Y1^-1)^2, (R * Y3)^2, (R * Y1)^2, (Y3^-1 * Y1^-1)^2, Y1 * Y2 * Y1^-2 * Y2 * Y1, Y1^-1 * Y3^-4 * Y1^-1, (R * Y2 * Y3^-1)^2, Y3 * Y1 * Y3^-1 * Y2 * Y3^2 * Y2 * Y1^-1, Y2 * Y1 * Y2 * Y1 * Y2 * Y1^-1 * Y3 * Y2 * Y3^-1 * Y1^-1 * Y2 * Y1 * Y2 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 97, 2, 98, 7, 103, 5, 101)(3, 99, 11, 107, 20, 116, 13, 109)(4, 100, 15, 111, 21, 117, 10, 106)(6, 102, 18, 114, 22, 118, 9, 105)(8, 104, 23, 119, 17, 113, 25, 121)(12, 108, 32, 128, 39, 135, 31, 127)(14, 110, 35, 131, 40, 136, 30, 126)(16, 112, 28, 124, 19, 115, 27, 123)(24, 120, 44, 140, 37, 133, 43, 139)(26, 122, 47, 143, 38, 134, 42, 138)(29, 125, 49, 145, 34, 130, 51, 147)(33, 129, 54, 150, 36, 132, 53, 149)(41, 137, 57, 153, 46, 142, 59, 155)(45, 141, 62, 158, 48, 144, 61, 157)(50, 146, 68, 164, 55, 151, 67, 163)(52, 148, 71, 167, 56, 152, 66, 162)(58, 154, 76, 172, 63, 159, 75, 171)(60, 156, 79, 175, 64, 160, 74, 170)(65, 161, 81, 177, 70, 166, 83, 179)(69, 165, 86, 182, 72, 168, 85, 181)(73, 169, 89, 185, 78, 174, 91, 187)(77, 173, 94, 190, 80, 176, 93, 189)(82, 178, 90, 186, 87, 183, 95, 191)(84, 180, 96, 192, 88, 184, 92, 188)(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, 218, 314)(202, 298, 216, 312)(203, 299, 221, 317)(205, 301, 226, 322)(207, 303, 229, 325)(208, 304, 228, 324)(210, 306, 230, 326)(211, 307, 225, 321)(213, 309, 232, 328)(214, 310, 231, 327)(215, 311, 233, 329)(217, 313, 238, 334)(219, 315, 240, 336)(220, 316, 237, 333)(222, 318, 244, 340)(223, 319, 242, 338)(224, 320, 247, 343)(227, 323, 248, 344)(234, 330, 252, 348)(235, 331, 250, 346)(236, 332, 255, 351)(239, 335, 256, 352)(241, 337, 257, 353)(243, 339, 262, 358)(245, 341, 264, 360)(246, 342, 261, 357)(249, 345, 265, 361)(251, 347, 270, 366)(253, 349, 272, 368)(254, 350, 269, 365)(258, 354, 276, 372)(259, 355, 274, 370)(260, 356, 279, 375)(263, 359, 280, 376)(266, 362, 284, 380)(267, 363, 282, 378)(268, 364, 287, 383)(271, 367, 288, 384)(273, 369, 285, 381)(275, 371, 286, 382)(277, 373, 283, 379)(278, 374, 281, 377)
	L = (1, 196)(2, 201)(3, 204)(4, 208)(5, 210)(6, 193)(7, 213)(8, 216)(9, 219)(10, 194)(11, 222)(12, 225)(13, 227)(14, 195)(15, 197)(16, 214)(17, 229)(18, 220)(19, 198)(20, 231)(21, 211)(22, 199)(23, 234)(24, 237)(25, 239)(26, 200)(27, 207)(28, 202)(29, 242)(30, 245)(31, 203)(32, 205)(33, 232)(34, 247)(35, 246)(36, 206)(37, 240)(38, 209)(39, 228)(40, 212)(41, 250)(42, 253)(43, 215)(44, 217)(45, 230)(46, 255)(47, 254)(48, 218)(49, 258)(50, 261)(51, 263)(52, 221)(53, 224)(54, 223)(55, 264)(56, 226)(57, 266)(58, 269)(59, 271)(60, 233)(61, 236)(62, 235)(63, 272)(64, 238)(65, 274)(66, 277)(67, 241)(68, 243)(69, 248)(70, 279)(71, 278)(72, 244)(73, 282)(74, 285)(75, 249)(76, 251)(77, 256)(78, 287)(79, 286)(80, 252)(81, 284)(82, 281)(83, 288)(84, 257)(85, 260)(86, 259)(87, 283)(88, 262)(89, 280)(90, 275)(91, 276)(92, 265)(93, 268)(94, 267)(95, 273)(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) :: { ( 4^4 ), ( 4^8 ) }
Outer automorphisms :: reflexible
Dual of E13.1392
Graph:: simple bipartite
	v = 72 e = 192 f = 96
	degree seq :: [ 4^48, 8^24 ]

E13.1397 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 2, 4})
Quotient :: halfedge^2
Aut^+ = (C2 x S4) : C2 (small group id <96, 187>)
Aut   = $<192, 1470>$ (small group id <192, 1470>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, 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)^12 ]
Map:: polytopal non-degenerate
	R = (1, 98, 2, 97)(3, 103, 7, 99)(4, 105, 9, 100)(5, 106, 10, 101)(6, 108, 12, 102)(8, 111, 15, 104)(11, 116, 20, 107)(13, 119, 23, 109)(14, 121, 25, 110)(16, 124, 28, 112)(17, 126, 30, 113)(18, 127, 31, 114)(19, 129, 33, 115)(21, 132, 36, 117)(22, 134, 38, 118)(24, 131, 35, 120)(26, 133, 37, 122)(27, 128, 32, 123)(29, 130, 34, 125)(39, 145, 49, 135)(40, 146, 50, 136)(41, 147, 51, 137)(42, 148, 52, 138)(43, 144, 48, 139)(44, 149, 53, 140)(45, 150, 54, 141)(46, 151, 55, 142)(47, 152, 56, 143)(57, 161, 65, 153)(58, 162, 66, 154)(59, 163, 67, 155)(60, 164, 68, 156)(61, 165, 69, 157)(62, 166, 70, 158)(63, 167, 71, 159)(64, 168, 72, 160)(73, 177, 81, 169)(74, 178, 82, 170)(75, 179, 83, 171)(76, 180, 84, 172)(77, 181, 85, 173)(78, 182, 86, 174)(79, 183, 87, 175)(80, 184, 88, 176)(89, 189, 93, 185)(90, 192, 96, 186)(91, 191, 95, 187)(92, 190, 94, 188)
	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, 100)(98, 102)(99, 104)(101, 107)(103, 110)(105, 113)(106, 115)(108, 118)(109, 120)(111, 123)(112, 125)(114, 128)(116, 131)(117, 133)(119, 136)(121, 138)(122, 139)(124, 137)(126, 135)(127, 141)(129, 143)(130, 144)(132, 142)(134, 140)(145, 154)(146, 156)(147, 155)(148, 153)(149, 158)(150, 160)(151, 159)(152, 157)(161, 170)(162, 172)(163, 171)(164, 169)(165, 174)(166, 176)(167, 175)(168, 173)(177, 186)(178, 188)(179, 187)(180, 185)(181, 190)(182, 192)(183, 191)(184, 189)
	local type(s) :: { ( 8^4 ) }
Outer automorphisms :: reflexible
Dual of E13.1400
Transitivity :: VT+ AT
Graph:: simple bipartite
	v = 48 e = 96 f = 24
	degree seq :: [ 4^48 ]

E13.1398 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 2, 4})
Quotient :: halfedge^2
Aut^+ = C2 x C2 x S4 (small group id <96, 226>)
Aut   = $<192, 1472>$ (small group id <192, 1472>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, Y3^2, R^2, R * Y3 * R * Y2, (R * Y1)^2, (Y3 * Y2)^2, (Y1 * Y3 * Y2)^4, (Y2 * Y1 * Y2 * Y1 * Y3 * Y1)^2, (Y3 * Y1)^6, (Y2 * Y1 * Y3 * Y1 * Y3 * Y1)^2, (Y2 * Y1)^6 ]
Map:: polytopal non-degenerate
	R = (1, 98, 2, 97)(3, 103, 7, 99)(4, 105, 9, 100)(5, 106, 10, 101)(6, 108, 12, 102)(8, 111, 15, 104)(11, 116, 20, 107)(13, 119, 23, 109)(14, 121, 25, 110)(16, 124, 28, 112)(17, 126, 30, 113)(18, 127, 31, 114)(19, 129, 33, 115)(21, 132, 36, 117)(22, 134, 38, 118)(24, 137, 41, 120)(26, 140, 44, 122)(27, 142, 46, 123)(29, 145, 49, 125)(32, 150, 54, 128)(34, 153, 57, 130)(35, 155, 59, 131)(37, 158, 62, 133)(39, 148, 52, 135)(40, 156, 60, 136)(42, 151, 55, 138)(43, 159, 63, 139)(45, 154, 58, 141)(47, 149, 53, 143)(48, 157, 61, 144)(50, 152, 56, 146)(51, 160, 64, 147)(65, 175, 79, 161)(66, 172, 76, 162)(67, 181, 85, 163)(68, 176, 80, 164)(69, 171, 75, 165)(70, 174, 78, 166)(71, 179, 83, 167)(72, 180, 84, 168)(73, 177, 81, 169)(74, 178, 82, 170)(77, 184, 88, 173)(86, 187, 91, 182)(87, 188, 92, 183)(89, 189, 93, 185)(90, 190, 94, 186)(95, 192, 96, 191)
	L = (1, 3)(2, 5)(4, 8)(6, 11)(7, 13)(9, 16)(10, 18)(12, 21)(14, 24)(15, 26)(17, 29)(19, 32)(20, 34)(22, 37)(23, 39)(25, 42)(27, 45)(28, 47)(30, 50)(31, 52)(33, 55)(35, 58)(36, 60)(38, 63)(40, 65)(41, 66)(43, 68)(44, 69)(46, 71)(48, 73)(49, 67)(51, 74)(53, 75)(54, 76)(56, 78)(57, 79)(59, 81)(61, 83)(62, 77)(64, 84)(70, 86)(72, 87)(80, 89)(82, 90)(85, 91)(88, 93)(92, 95)(94, 96)(97, 100)(98, 102)(99, 104)(101, 107)(103, 110)(105, 113)(106, 115)(108, 118)(109, 120)(111, 123)(112, 125)(114, 128)(116, 131)(117, 133)(119, 136)(121, 139)(122, 141)(124, 144)(126, 147)(127, 149)(129, 152)(130, 154)(132, 157)(134, 160)(135, 161)(137, 163)(138, 164)(140, 166)(142, 168)(143, 169)(145, 162)(146, 170)(148, 171)(150, 173)(151, 174)(153, 176)(155, 178)(156, 179)(158, 172)(159, 180)(165, 182)(167, 183)(175, 185)(177, 186)(181, 188)(184, 190)(187, 191)(189, 192)
	local type(s) :: { ( 8^4 ) }
Outer automorphisms :: reflexible
Dual of E13.1401
Transitivity :: VT+ AT
Graph:: simple bipartite
	v = 48 e = 96 f = 24
	degree seq :: [ 4^48 ]

E13.1399 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 2, 4})
Quotient :: halfedge^2
Aut^+ = (C2 x S4) : C2 (small group id <96, 187>)
Aut   = $<192, 1472>$ (small group id <192, 1472>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, Y3^2, R^2, R * Y3 * R * Y2, (R * Y1)^2, (Y3 * Y2)^3, (Y3 * Y1 * Y2 * Y1)^2, Y3 * Y1 * Y3 * Y1 * Y3 * Y2 * Y1 * Y2 * Y1 * Y2, (Y1 * Y2 * Y3)^4 ]
Map:: polytopal non-degenerate
	R = (1, 98, 2, 97)(3, 103, 7, 99)(4, 105, 9, 100)(5, 107, 11, 101)(6, 109, 13, 102)(8, 113, 17, 104)(10, 117, 21, 106)(12, 120, 24, 108)(14, 124, 28, 110)(15, 125, 29, 111)(16, 122, 26, 112)(18, 130, 34, 114)(19, 119, 23, 115)(20, 132, 36, 116)(22, 136, 40, 118)(25, 141, 45, 121)(27, 143, 47, 123)(30, 140, 44, 126)(31, 150, 54, 127)(32, 148, 52, 128)(33, 137, 41, 129)(35, 155, 59, 131)(37, 145, 49, 133)(38, 144, 48, 134)(39, 157, 61, 135)(42, 163, 67, 138)(43, 161, 65, 139)(46, 168, 72, 142)(50, 170, 74, 146)(51, 173, 77, 147)(53, 167, 71, 149)(55, 172, 76, 151)(56, 175, 79, 152)(57, 169, 73, 153)(58, 162, 66, 154)(60, 166, 70, 156)(62, 180, 84, 158)(63, 164, 68, 159)(64, 182, 86, 160)(69, 184, 88, 165)(75, 189, 93, 171)(78, 183, 87, 174)(80, 185, 89, 176)(81, 188, 92, 177)(82, 190, 94, 178)(83, 186, 90, 179)(85, 187, 91, 181)(95, 192, 96, 191)
	L = (1, 3)(2, 5)(4, 10)(6, 14)(7, 15)(8, 18)(9, 19)(11, 22)(12, 25)(13, 26)(16, 31)(17, 32)(20, 37)(21, 38)(23, 42)(24, 43)(27, 48)(28, 49)(29, 51)(30, 53)(33, 56)(34, 57)(35, 60)(36, 61)(39, 63)(40, 64)(41, 66)(44, 69)(45, 70)(46, 73)(47, 74)(50, 76)(52, 78)(54, 79)(55, 81)(58, 83)(59, 80)(62, 85)(65, 87)(67, 88)(68, 90)(71, 92)(72, 89)(75, 94)(77, 93)(82, 95)(84, 86)(91, 96)(97, 100)(98, 102)(99, 104)(101, 108)(103, 112)(105, 116)(106, 114)(107, 119)(109, 123)(110, 121)(111, 126)(113, 129)(115, 131)(117, 135)(118, 137)(120, 140)(122, 142)(124, 146)(125, 148)(127, 149)(128, 151)(130, 154)(132, 147)(133, 156)(134, 158)(136, 161)(138, 162)(139, 164)(141, 167)(143, 160)(144, 169)(145, 171)(150, 176)(152, 177)(153, 178)(155, 180)(157, 174)(159, 181)(163, 185)(165, 186)(166, 187)(168, 189)(170, 183)(172, 190)(173, 184)(175, 182)(179, 191)(188, 192)
	local type(s) :: { ( 8^4 ) }
Outer automorphisms :: reflexible
Dual of E13.1402
Transitivity :: VT+ AT
Graph:: simple bipartite
	v = 48 e = 96 f = 24
	degree seq :: [ 4^48 ]

E13.1400 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 2, 4})
Quotient :: halfedge^2
Aut^+ = (C2 x S4) : C2 (small group id <96, 187>)
Aut   = $<192, 1470>$ (small group id <192, 1470>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, (Y3 * Y2)^2, Y1^4, R * Y3 * R * Y2, (R * Y1)^2, Y1^-1 * Y3 * Y1^-2 * Y2 * Y1^-1, Y3 * Y1 * Y3 * Y2 * Y1 * Y2, Y3 * Y1^-1 * Y3 * Y1 * Y3 * Y1^-1 * Y3 * Y1 * Y3 * Y1^-1 * Y3 * Y1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 98, 2, 102, 6, 101, 5, 97)(3, 105, 9, 113, 17, 107, 11, 99)(4, 108, 12, 112, 16, 109, 13, 100)(7, 114, 18, 111, 15, 116, 20, 103)(8, 117, 21, 110, 14, 118, 22, 104)(10, 121, 25, 124, 28, 115, 19, 106)(23, 129, 33, 123, 27, 130, 34, 119)(24, 131, 35, 122, 26, 132, 36, 120)(29, 133, 37, 128, 32, 134, 38, 125)(30, 135, 39, 127, 31, 136, 40, 126)(41, 145, 49, 140, 44, 146, 50, 137)(42, 147, 51, 139, 43, 148, 52, 138)(45, 149, 53, 144, 48, 150, 54, 141)(46, 151, 55, 143, 47, 152, 56, 142)(57, 161, 65, 156, 60, 162, 66, 153)(58, 163, 67, 155, 59, 164, 68, 154)(61, 165, 69, 160, 64, 166, 70, 157)(62, 167, 71, 159, 63, 168, 72, 158)(73, 177, 81, 172, 76, 178, 82, 169)(74, 179, 83, 171, 75, 180, 84, 170)(77, 181, 85, 176, 80, 182, 86, 173)(78, 183, 87, 175, 79, 184, 88, 174)(89, 189, 93, 188, 92, 192, 96, 185)(90, 191, 95, 187, 91, 190, 94, 186)
	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, 100)(98, 104)(99, 106)(101, 111)(102, 113)(103, 115)(105, 120)(107, 123)(108, 122)(109, 119)(110, 121)(112, 124)(114, 126)(116, 128)(117, 127)(118, 125)(129, 138)(130, 140)(131, 139)(132, 137)(133, 142)(134, 144)(135, 143)(136, 141)(145, 154)(146, 156)(147, 155)(148, 153)(149, 158)(150, 160)(151, 159)(152, 157)(161, 170)(162, 172)(163, 171)(164, 169)(165, 174)(166, 176)(167, 175)(168, 173)(177, 186)(178, 188)(179, 187)(180, 185)(181, 190)(182, 192)(183, 191)(184, 189)
	local type(s) :: { ( 4^8 ) }
Outer automorphisms :: reflexible
Dual of E13.1397
Transitivity :: VT+ AT
Graph:: bipartite
	v = 24 e = 96 f = 48
	degree seq :: [ 8^24 ]

E13.1401 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 2, 4})
Quotient :: halfedge^2
Aut^+ = C2 x C2 x S4 (small group id <96, 226>)
Aut   = $<192, 1472>$ (small group id <192, 1472>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, Y1^4, (Y3 * Y2)^2, R * Y3 * R * Y2, (R * Y1)^2, (Y1^-1 * Y3 * Y2)^2, (Y1^-1 * Y2 * Y3)^2, (Y1 * Y2 * Y1^-1 * Y2 * Y1)^2, Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 98, 2, 102, 6, 101, 5, 97)(3, 105, 9, 119, 23, 107, 11, 99)(4, 108, 12, 125, 29, 109, 13, 100)(7, 114, 18, 135, 39, 116, 20, 103)(8, 117, 21, 140, 44, 118, 22, 104)(10, 122, 26, 131, 35, 115, 19, 106)(14, 126, 30, 151, 55, 127, 31, 110)(15, 128, 32, 156, 60, 129, 33, 111)(16, 130, 34, 157, 61, 132, 36, 112)(17, 133, 37, 162, 66, 134, 38, 113)(24, 143, 47, 160, 64, 144, 48, 120)(25, 145, 49, 161, 65, 146, 50, 121)(27, 147, 51, 158, 62, 148, 52, 123)(28, 149, 53, 159, 63, 150, 54, 124)(40, 165, 69, 154, 58, 166, 70, 136)(41, 167, 71, 155, 59, 168, 72, 137)(42, 169, 73, 152, 56, 170, 74, 138)(43, 171, 75, 153, 57, 172, 76, 139)(45, 173, 77, 183, 87, 163, 67, 141)(46, 164, 68, 184, 88, 174, 78, 142)(79, 185, 89, 181, 85, 191, 95, 175)(80, 192, 96, 182, 86, 186, 90, 176)(81, 189, 93, 179, 83, 187, 91, 177)(82, 188, 92, 180, 84, 190, 94, 178)
	L = (1, 3)(2, 7)(4, 10)(5, 14)(6, 16)(8, 19)(9, 24)(11, 27)(12, 28)(13, 25)(15, 26)(17, 35)(18, 40)(20, 42)(21, 43)(22, 41)(23, 45)(29, 46)(30, 56)(31, 58)(32, 59)(33, 57)(34, 62)(36, 64)(37, 65)(38, 63)(39, 67)(44, 68)(47, 79)(48, 81)(49, 82)(50, 80)(51, 83)(52, 85)(53, 86)(54, 84)(55, 77)(60, 78)(61, 87)(66, 88)(69, 89)(70, 91)(71, 92)(72, 90)(73, 93)(74, 95)(75, 96)(76, 94)(97, 100)(98, 104)(99, 106)(101, 111)(102, 113)(103, 115)(105, 121)(107, 124)(108, 123)(109, 120)(110, 122)(112, 131)(114, 137)(116, 139)(117, 138)(118, 136)(119, 142)(125, 141)(126, 153)(127, 155)(128, 154)(129, 152)(130, 159)(132, 161)(133, 160)(134, 158)(135, 164)(140, 163)(143, 176)(144, 178)(145, 177)(146, 175)(147, 180)(148, 182)(149, 181)(150, 179)(151, 174)(156, 173)(157, 184)(162, 183)(165, 186)(166, 188)(167, 187)(168, 185)(169, 190)(170, 192)(171, 191)(172, 189)
	local type(s) :: { ( 4^8 ) }
Outer automorphisms :: reflexible
Dual of E13.1398
Transitivity :: VT+ AT
Graph:: simple bipartite
	v = 24 e = 96 f = 48
	degree seq :: [ 8^24 ]

E13.1402 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 2, 4})
Quotient :: halfedge^2
Aut^+ = (C2 x S4) : C2 (small group id <96, 187>)
Aut   = $<192, 1472>$ (small group id <192, 1472>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, R * Y3 * R * Y2, Y1^4, (R * Y1)^2, (Y1^-1 * Y2 * Y3)^2, (Y3 * Y2)^3, Y3 * Y1^-2 * Y2 * Y1^-1 * Y3 * Y2 * Y1^-1, (Y2 * Y1^-1 * Y3 * Y1^-1)^2, (Y2 * Y1 * Y3 * Y1^-1)^2 ]
Map:: polytopal non-degenerate
	R = (1, 98, 2, 102, 6, 101, 5, 97)(3, 105, 9, 121, 25, 107, 11, 99)(4, 108, 12, 128, 32, 110, 14, 100)(7, 115, 19, 145, 49, 117, 21, 103)(8, 118, 22, 152, 56, 120, 24, 104)(10, 124, 28, 155, 59, 119, 23, 106)(13, 131, 35, 169, 73, 132, 36, 109)(15, 134, 38, 172, 76, 135, 39, 111)(16, 136, 40, 162, 66, 138, 42, 112)(17, 139, 43, 173, 77, 141, 45, 113)(18, 142, 46, 179, 83, 144, 48, 114)(20, 148, 52, 181, 85, 143, 47, 116)(26, 156, 60, 178, 82, 160, 64, 122)(27, 161, 65, 175, 79, 147, 51, 123)(29, 164, 68, 177, 81, 165, 69, 125)(30, 154, 58, 174, 78, 166, 70, 126)(31, 151, 55, 129, 33, 153, 57, 127)(34, 146, 50, 182, 86, 168, 72, 130)(37, 150, 54, 180, 84, 171, 75, 133)(41, 140, 44, 176, 80, 158, 62, 137)(53, 186, 90, 170, 74, 187, 91, 149)(61, 188, 92, 167, 71, 183, 87, 157)(63, 185, 89, 191, 95, 189, 93, 159)(67, 184, 88, 192, 96, 190, 94, 163)
	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, 66)(31, 46)(32, 52)(34, 69)(35, 74)(36, 67)(37, 63)(38, 75)(39, 72)(40, 55)(42, 65)(43, 78)(44, 81)(45, 82)(48, 79)(49, 87)(56, 80)(58, 91)(59, 89)(60, 88)(62, 93)(64, 90)(68, 84)(70, 94)(71, 77)(73, 83)(76, 92)(85, 96)(86, 95)(97, 100)(98, 104)(99, 106)(101, 112)(102, 114)(103, 116)(105, 123)(107, 127)(108, 130)(109, 125)(110, 133)(111, 131)(113, 140)(115, 147)(117, 151)(118, 154)(119, 149)(120, 156)(121, 158)(122, 159)(124, 163)(126, 164)(128, 167)(129, 141)(132, 145)(134, 161)(135, 153)(136, 160)(137, 170)(138, 166)(139, 175)(142, 180)(143, 177)(144, 182)(146, 184)(148, 185)(150, 186)(152, 188)(155, 173)(157, 179)(162, 183)(165, 178)(168, 187)(169, 189)(171, 190)(172, 181)(174, 191)(176, 192)
	local type(s) :: { ( 4^8 ) }
Outer automorphisms :: reflexible
Dual of E13.1399
Transitivity :: VT+ AT
Graph:: simple bipartite
	v = 24 e = 96 f = 48
	degree seq :: [ 8^24 ]

E13.1403 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 2, 4})
Quotient :: edge^2
Aut^+ = (C2 x S4) : C2 (small group id <96, 187>)
Aut   = $<192, 1470>$ (small group id <192, 1470>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, Y3^2, R^2, (Y1 * Y2)^2, R * Y1 * R * Y2, (R * Y3)^2, Y2 * Y3 * Y1 * Y3 * Y1 * Y2 * Y3 * Y2 * Y3 * Y1, (Y3 * Y1)^12 ]
Map:: polytopal
	R = (1, 97, 4, 100)(2, 98, 6, 102)(3, 99, 7, 103)(5, 101, 10, 106)(8, 104, 16, 112)(9, 105, 17, 113)(11, 107, 21, 117)(12, 108, 22, 118)(13, 109, 24, 120)(14, 110, 25, 121)(15, 111, 26, 122)(18, 114, 32, 128)(19, 115, 33, 129)(20, 116, 34, 130)(23, 119, 39, 135)(27, 123, 40, 136)(28, 124, 41, 137)(29, 125, 42, 138)(30, 126, 43, 139)(31, 127, 44, 140)(35, 131, 45, 141)(36, 132, 46, 142)(37, 133, 47, 143)(38, 134, 48, 144)(49, 145, 57, 153)(50, 146, 58, 154)(51, 147, 59, 155)(52, 148, 60, 156)(53, 149, 61, 157)(54, 150, 62, 158)(55, 151, 63, 159)(56, 152, 64, 160)(65, 161, 73, 169)(66, 162, 74, 170)(67, 163, 75, 171)(68, 164, 76, 172)(69, 165, 77, 173)(70, 166, 78, 174)(71, 167, 79, 175)(72, 168, 80, 176)(81, 177, 89, 185)(82, 178, 90, 186)(83, 179, 91, 187)(84, 180, 92, 188)(85, 181, 93, 189)(86, 182, 94, 190)(87, 183, 95, 191)(88, 184, 96, 192)(193, 194)(195, 197)(196, 200)(198, 203)(199, 205)(201, 207)(202, 210)(204, 212)(206, 215)(208, 219)(209, 221)(211, 223)(213, 227)(214, 229)(216, 230)(217, 228)(218, 231)(220, 225)(222, 224)(226, 236)(232, 241)(233, 243)(234, 244)(235, 242)(237, 245)(238, 247)(239, 248)(240, 246)(249, 257)(250, 259)(251, 260)(252, 258)(253, 261)(254, 263)(255, 264)(256, 262)(265, 273)(266, 275)(267, 276)(268, 274)(269, 277)(270, 279)(271, 280)(272, 278)(281, 285)(282, 287)(283, 286)(284, 288)(289, 291)(290, 293)(292, 297)(294, 300)(295, 302)(296, 303)(298, 307)(299, 308)(301, 311)(304, 316)(305, 318)(306, 319)(309, 324)(310, 326)(312, 325)(313, 323)(314, 322)(315, 321)(317, 320)(327, 332)(328, 338)(329, 340)(330, 339)(331, 337)(333, 342)(334, 344)(335, 343)(336, 341)(345, 354)(346, 356)(347, 355)(348, 353)(349, 358)(350, 360)(351, 359)(352, 357)(361, 370)(362, 372)(363, 371)(364, 369)(365, 374)(366, 376)(367, 375)(368, 373)(377, 384)(378, 382)(379, 383)(380, 381)
	L = (1, 193)(2, 194)(3, 195)(4, 196)(5, 197)(6, 198)(7, 199)(8, 200)(9, 201)(10, 202)(11, 203)(12, 204)(13, 205)(14, 206)(15, 207)(16, 208)(17, 209)(18, 210)(19, 211)(20, 212)(21, 213)(22, 214)(23, 215)(24, 216)(25, 217)(26, 218)(27, 219)(28, 220)(29, 221)(30, 222)(31, 223)(32, 224)(33, 225)(34, 226)(35, 227)(36, 228)(37, 229)(38, 230)(39, 231)(40, 232)(41, 233)(42, 234)(43, 235)(44, 236)(45, 237)(46, 238)(47, 239)(48, 240)(49, 241)(50, 242)(51, 243)(52, 244)(53, 245)(54, 246)(55, 247)(56, 248)(57, 249)(58, 250)(59, 251)(60, 252)(61, 253)(62, 254)(63, 255)(64, 256)(65, 257)(66, 258)(67, 259)(68, 260)(69, 261)(70, 262)(71, 263)(72, 264)(73, 265)(74, 266)(75, 267)(76, 268)(77, 269)(78, 270)(79, 271)(80, 272)(81, 273)(82, 274)(83, 275)(84, 276)(85, 277)(86, 278)(87, 279)(88, 280)(89, 281)(90, 282)(91, 283)(92, 284)(93, 285)(94, 286)(95, 287)(96, 288)(97, 289)(98, 290)(99, 291)(100, 292)(101, 293)(102, 294)(103, 295)(104, 296)(105, 297)(106, 298)(107, 299)(108, 300)(109, 301)(110, 302)(111, 303)(112, 304)(113, 305)(114, 306)(115, 307)(116, 308)(117, 309)(118, 310)(119, 311)(120, 312)(121, 313)(122, 314)(123, 315)(124, 316)(125, 317)(126, 318)(127, 319)(128, 320)(129, 321)(130, 322)(131, 323)(132, 324)(133, 325)(134, 326)(135, 327)(136, 328)(137, 329)(138, 330)(139, 331)(140, 332)(141, 333)(142, 334)(143, 335)(144, 336)(145, 337)(146, 338)(147, 339)(148, 340)(149, 341)(150, 342)(151, 343)(152, 344)(153, 345)(154, 346)(155, 347)(156, 348)(157, 349)(158, 350)(159, 351)(160, 352)(161, 353)(162, 354)(163, 355)(164, 356)(165, 357)(166, 358)(167, 359)(168, 360)(169, 361)(170, 362)(171, 363)(172, 364)(173, 365)(174, 366)(175, 367)(176, 368)(177, 369)(178, 370)(179, 371)(180, 372)(181, 373)(182, 374)(183, 375)(184, 376)(185, 377)(186, 378)(187, 379)(188, 380)(189, 381)(190, 382)(191, 383)(192, 384)
	local type(s) :: { ( 16, 16 ), ( 16^4 ) }
Outer automorphisms :: reflexible
Dual of E13.1412
Graph:: simple bipartite
	v = 144 e = 192 f = 24
	degree seq :: [ 2^96, 4^48 ]

E13.1404 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 2, 4})
Quotient :: edge^2
Aut^+ = C2 x C2 x S4 (small group id <96, 226>)
Aut   = $<192, 1472>$ (small group id <192, 1472>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, Y3^2, R^2, (R * Y3)^2, R * Y1 * R * Y2, (Y2 * Y1)^2, Y1 * Y3 * Y1 * Y2 * Y3 * Y1 * Y2 * Y3 * Y1 * Y2 * Y3 * Y2, (Y3 * Y1 * Y3 * Y2 * Y3 * Y2)^2, (Y3 * Y1 * Y3 * Y1 * Y3 * Y2)^2, (Y3 * Y2)^6, (Y3 * Y1)^6 ]
Map:: polytopal
	R = (1, 97, 4, 100)(2, 98, 6, 102)(3, 99, 7, 103)(5, 101, 10, 106)(8, 104, 16, 112)(9, 105, 17, 113)(11, 107, 21, 117)(12, 108, 22, 118)(13, 109, 24, 120)(14, 110, 25, 121)(15, 111, 26, 122)(18, 114, 32, 128)(19, 115, 33, 129)(20, 116, 34, 130)(23, 119, 39, 135)(27, 123, 47, 143)(28, 124, 48, 144)(29, 125, 50, 146)(30, 126, 51, 147)(31, 127, 52, 148)(35, 131, 60, 156)(36, 132, 61, 157)(37, 133, 63, 159)(38, 134, 64, 160)(40, 136, 66, 162)(41, 137, 67, 163)(42, 138, 69, 165)(43, 139, 70, 166)(44, 140, 71, 167)(45, 141, 72, 168)(46, 142, 73, 169)(49, 145, 74, 170)(53, 149, 76, 172)(54, 150, 77, 173)(55, 151, 79, 175)(56, 152, 80, 176)(57, 153, 81, 177)(58, 154, 82, 178)(59, 155, 83, 179)(62, 158, 84, 180)(65, 161, 85, 181)(68, 164, 86, 182)(75, 171, 88, 184)(78, 174, 89, 185)(87, 183, 92, 188)(90, 186, 94, 190)(91, 187, 95, 191)(93, 189, 96, 192)(193, 194)(195, 197)(196, 200)(198, 203)(199, 205)(201, 207)(202, 210)(204, 212)(206, 215)(208, 219)(209, 221)(211, 223)(213, 227)(214, 229)(216, 232)(217, 234)(218, 236)(220, 238)(222, 241)(224, 245)(225, 247)(226, 249)(228, 251)(230, 254)(231, 250)(233, 257)(235, 260)(237, 244)(239, 252)(240, 255)(242, 253)(243, 256)(246, 267)(248, 270)(258, 268)(259, 271)(261, 269)(262, 272)(263, 275)(264, 277)(265, 273)(266, 279)(274, 280)(276, 282)(278, 283)(281, 285)(284, 286)(287, 288)(289, 291)(290, 293)(292, 297)(294, 300)(295, 302)(296, 303)(298, 307)(299, 308)(301, 311)(304, 316)(305, 318)(306, 319)(309, 324)(310, 326)(312, 329)(313, 331)(314, 333)(315, 334)(317, 337)(320, 342)(321, 344)(322, 346)(323, 347)(325, 350)(327, 345)(328, 353)(330, 356)(332, 340)(335, 354)(336, 357)(338, 355)(339, 358)(341, 363)(343, 366)(348, 364)(349, 367)(351, 365)(352, 368)(359, 372)(360, 374)(361, 375)(362, 369)(370, 377)(371, 378)(373, 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) :: { ( 16, 16 ), ( 16^4 ) }
Outer automorphisms :: reflexible
Dual of E13.1413
Graph:: simple bipartite
	v = 144 e = 192 f = 24
	degree seq :: [ 2^96, 4^48 ]

E13.1405 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 2, 4})
Quotient :: edge^2
Aut^+ = (C2 x S4) : C2 (small group id <96, 187>)
Aut   = $<192, 1472>$ (small group id <192, 1472>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, Y3^2, R^2, (R * Y3)^2, R * Y1 * R * Y2, (Y2 * Y1)^3, (Y3 * Y1 * Y3 * Y2)^2, Y3 * Y2 * Y3 * Y2 * Y1 * Y3 * Y1 * Y3 * Y1 * Y2, (Y1 * Y3 * Y2)^4 ]
Map:: polytopal
	R = (1, 97, 4, 100)(2, 98, 6, 102)(3, 99, 8, 104)(5, 101, 12, 108)(7, 103, 15, 111)(9, 105, 19, 115)(10, 106, 21, 117)(11, 107, 22, 118)(13, 109, 26, 122)(14, 110, 28, 124)(16, 112, 32, 128)(17, 113, 34, 130)(18, 114, 36, 132)(20, 116, 38, 134)(23, 119, 43, 139)(24, 120, 45, 141)(25, 121, 47, 143)(27, 123, 49, 145)(29, 125, 52, 148)(30, 126, 54, 150)(31, 127, 56, 152)(33, 129, 58, 154)(35, 131, 59, 155)(37, 133, 61, 157)(39, 135, 63, 159)(40, 136, 65, 161)(41, 137, 67, 163)(42, 138, 69, 165)(44, 140, 71, 167)(46, 142, 72, 168)(48, 144, 74, 170)(50, 146, 76, 172)(51, 147, 78, 174)(53, 149, 79, 175)(55, 151, 80, 176)(57, 153, 81, 177)(60, 156, 83, 179)(62, 158, 85, 181)(64, 160, 87, 183)(66, 162, 88, 184)(68, 164, 89, 185)(70, 166, 90, 186)(73, 169, 92, 188)(75, 171, 94, 190)(77, 173, 95, 191)(82, 178, 93, 189)(84, 180, 91, 187)(86, 182, 96, 192)(193, 194)(195, 199)(196, 201)(197, 203)(198, 205)(200, 208)(202, 212)(204, 215)(206, 219)(207, 221)(209, 225)(210, 227)(211, 229)(213, 220)(214, 232)(216, 236)(217, 238)(218, 240)(222, 245)(223, 247)(224, 249)(226, 246)(228, 252)(230, 250)(231, 244)(233, 258)(234, 260)(235, 262)(237, 259)(239, 265)(241, 263)(242, 257)(243, 269)(248, 267)(251, 272)(253, 276)(254, 261)(255, 277)(256, 278)(264, 281)(266, 285)(268, 286)(270, 283)(271, 280)(273, 284)(274, 279)(275, 282)(287, 288)(289, 291)(290, 293)(292, 298)(294, 302)(295, 299)(296, 305)(297, 306)(300, 312)(301, 313)(303, 318)(304, 319)(307, 320)(308, 323)(309, 327)(310, 329)(311, 330)(314, 331)(315, 334)(316, 338)(317, 339)(321, 343)(322, 336)(324, 335)(325, 333)(326, 350)(328, 352)(332, 356)(337, 363)(340, 353)(341, 365)(342, 358)(344, 366)(345, 355)(346, 370)(347, 360)(348, 367)(349, 371)(351, 372)(354, 374)(357, 375)(359, 379)(361, 376)(362, 380)(364, 381)(368, 383)(369, 382)(373, 378)(377, 384)
	L = (1, 193)(2, 194)(3, 195)(4, 196)(5, 197)(6, 198)(7, 199)(8, 200)(9, 201)(10, 202)(11, 203)(12, 204)(13, 205)(14, 206)(15, 207)(16, 208)(17, 209)(18, 210)(19, 211)(20, 212)(21, 213)(22, 214)(23, 215)(24, 216)(25, 217)(26, 218)(27, 219)(28, 220)(29, 221)(30, 222)(31, 223)(32, 224)(33, 225)(34, 226)(35, 227)(36, 228)(37, 229)(38, 230)(39, 231)(40, 232)(41, 233)(42, 234)(43, 235)(44, 236)(45, 237)(46, 238)(47, 239)(48, 240)(49, 241)(50, 242)(51, 243)(52, 244)(53, 245)(54, 246)(55, 247)(56, 248)(57, 249)(58, 250)(59, 251)(60, 252)(61, 253)(62, 254)(63, 255)(64, 256)(65, 257)(66, 258)(67, 259)(68, 260)(69, 261)(70, 262)(71, 263)(72, 264)(73, 265)(74, 266)(75, 267)(76, 268)(77, 269)(78, 270)(79, 271)(80, 272)(81, 273)(82, 274)(83, 275)(84, 276)(85, 277)(86, 278)(87, 279)(88, 280)(89, 281)(90, 282)(91, 283)(92, 284)(93, 285)(94, 286)(95, 287)(96, 288)(97, 289)(98, 290)(99, 291)(100, 292)(101, 293)(102, 294)(103, 295)(104, 296)(105, 297)(106, 298)(107, 299)(108, 300)(109, 301)(110, 302)(111, 303)(112, 304)(113, 305)(114, 306)(115, 307)(116, 308)(117, 309)(118, 310)(119, 311)(120, 312)(121, 313)(122, 314)(123, 315)(124, 316)(125, 317)(126, 318)(127, 319)(128, 320)(129, 321)(130, 322)(131, 323)(132, 324)(133, 325)(134, 326)(135, 327)(136, 328)(137, 329)(138, 330)(139, 331)(140, 332)(141, 333)(142, 334)(143, 335)(144, 336)(145, 337)(146, 338)(147, 339)(148, 340)(149, 341)(150, 342)(151, 343)(152, 344)(153, 345)(154, 346)(155, 347)(156, 348)(157, 349)(158, 350)(159, 351)(160, 352)(161, 353)(162, 354)(163, 355)(164, 356)(165, 357)(166, 358)(167, 359)(168, 360)(169, 361)(170, 362)(171, 363)(172, 364)(173, 365)(174, 366)(175, 367)(176, 368)(177, 369)(178, 370)(179, 371)(180, 372)(181, 373)(182, 374)(183, 375)(184, 376)(185, 377)(186, 378)(187, 379)(188, 380)(189, 381)(190, 382)(191, 383)(192, 384)
	local type(s) :: { ( 16, 16 ), ( 16^4 ) }
Outer automorphisms :: reflexible
Dual of E13.1414
Graph:: simple bipartite
	v = 144 e = 192 f = 24
	degree seq :: [ 2^96, 4^48 ]

E13.1406 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 2, 4})
Quotient :: edge^2
Aut^+ = (C2 x S4) : C2 (small group id <96, 187>)
Aut   = $<192, 1470>$ (small group id <192, 1470>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, (Y1 * Y2)^2, (R * Y3)^2, R * Y1 * R * Y2, Y3^4, Y1 * Y3^-1 * Y1 * Y2 * Y3^-1 * Y2, Y3^-1 * Y2 * Y3^-2 * Y1 * Y3^-1, Y3^-1 * Y2 * Y3^-1 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 ]
Map:: polytopal
	R = (1, 97, 4, 100, 13, 109, 5, 101)(2, 98, 7, 103, 20, 116, 8, 104)(3, 99, 9, 105, 23, 119, 10, 106)(6, 102, 16, 112, 28, 124, 17, 113)(11, 107, 24, 120, 15, 111, 25, 121)(12, 108, 26, 122, 14, 110, 27, 123)(18, 114, 29, 125, 22, 118, 30, 126)(19, 115, 31, 127, 21, 117, 32, 128)(33, 129, 41, 137, 36, 132, 42, 138)(34, 130, 43, 139, 35, 131, 44, 140)(37, 133, 45, 141, 40, 136, 46, 142)(38, 134, 47, 143, 39, 135, 48, 144)(49, 145, 57, 153, 52, 148, 58, 154)(50, 146, 59, 155, 51, 147, 60, 156)(53, 149, 61, 157, 56, 152, 62, 158)(54, 150, 63, 159, 55, 151, 64, 160)(65, 161, 73, 169, 68, 164, 74, 170)(66, 162, 75, 171, 67, 163, 76, 172)(69, 165, 77, 173, 72, 168, 78, 174)(70, 166, 79, 175, 71, 167, 80, 176)(81, 177, 89, 185, 84, 180, 90, 186)(82, 178, 91, 187, 83, 179, 92, 188)(85, 181, 93, 189, 88, 184, 94, 190)(86, 182, 95, 191, 87, 183, 96, 192)(193, 194)(195, 198)(196, 203)(197, 206)(199, 210)(200, 213)(201, 214)(202, 211)(204, 209)(205, 215)(207, 208)(212, 220)(216, 225)(217, 227)(218, 228)(219, 226)(221, 229)(222, 231)(223, 232)(224, 230)(233, 241)(234, 243)(235, 244)(236, 242)(237, 245)(238, 247)(239, 248)(240, 246)(249, 257)(250, 259)(251, 260)(252, 258)(253, 261)(254, 263)(255, 264)(256, 262)(265, 273)(266, 275)(267, 276)(268, 274)(269, 277)(270, 279)(271, 280)(272, 278)(281, 285)(282, 287)(283, 286)(284, 288)(289, 291)(290, 294)(292, 300)(293, 303)(295, 307)(296, 310)(297, 309)(298, 306)(299, 305)(301, 308)(302, 304)(311, 316)(312, 322)(313, 324)(314, 323)(315, 321)(317, 326)(318, 328)(319, 327)(320, 325)(329, 338)(330, 340)(331, 339)(332, 337)(333, 342)(334, 344)(335, 343)(336, 341)(345, 354)(346, 356)(347, 355)(348, 353)(349, 358)(350, 360)(351, 359)(352, 357)(361, 370)(362, 372)(363, 371)(364, 369)(365, 374)(366, 376)(367, 375)(368, 373)(377, 384)(378, 382)(379, 383)(380, 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 ), ( 8^8 ) }
Outer automorphisms :: reflexible
Dual of E13.1409
Graph:: simple bipartite
	v = 120 e = 192 f = 48
	degree seq :: [ 2^96, 8^24 ]

E13.1407 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 2, 4})
Quotient :: edge^2
Aut^+ = C2 x C2 x S4 (small group id <96, 226>)
Aut   = $<192, 1472>$ (small group id <192, 1472>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^4, (Y2 * Y1)^2, R * Y1 * R * Y2, (R * Y3)^2, (Y2 * Y1 * Y3^-1)^2, Y1 * Y3^-1 * Y1 * Y2 * Y3^-1 * Y2, Y3^-1 * Y1 * Y3^-1 * Y2 * Y3^-2 * Y2 * Y3^-1 * Y1 * Y3^-1, Y3^-1 * Y1 * Y3 * Y2 * Y3^-2 * Y2 * Y3 * Y1 * Y3^-1, (Y3 * Y2)^6, Y3 * Y2 * Y3 * Y2 * Y3^-1 * Y1 * Y3 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 ]
Map:: polytopal
	R = (1, 97, 4, 100, 13, 109, 5, 101)(2, 98, 7, 103, 20, 116, 8, 104)(3, 99, 9, 105, 23, 119, 10, 106)(6, 102, 16, 112, 34, 130, 17, 113)(11, 107, 24, 120, 47, 143, 25, 121)(12, 108, 26, 122, 50, 146, 27, 123)(14, 110, 30, 126, 57, 153, 31, 127)(15, 111, 32, 128, 60, 156, 33, 129)(18, 114, 35, 131, 63, 159, 36, 132)(19, 115, 37, 133, 66, 162, 38, 134)(21, 117, 41, 137, 73, 169, 42, 138)(22, 118, 43, 139, 76, 172, 44, 140)(28, 124, 51, 147, 85, 181, 52, 148)(29, 125, 53, 149, 86, 182, 54, 150)(39, 135, 67, 163, 95, 191, 68, 164)(40, 136, 69, 165, 96, 192, 70, 166)(45, 141, 77, 173, 58, 154, 78, 174)(46, 142, 79, 175, 59, 155, 80, 176)(48, 144, 81, 177, 55, 151, 82, 178)(49, 145, 83, 179, 56, 152, 84, 180)(61, 157, 87, 183, 74, 170, 88, 184)(62, 158, 89, 185, 75, 171, 90, 186)(64, 160, 91, 187, 71, 167, 92, 188)(65, 161, 93, 189, 72, 168, 94, 190)(193, 194)(195, 198)(196, 203)(197, 206)(199, 210)(200, 213)(201, 214)(202, 211)(204, 209)(205, 220)(207, 208)(212, 231)(215, 232)(216, 237)(217, 240)(218, 241)(219, 238)(221, 226)(222, 247)(223, 250)(224, 251)(225, 248)(227, 253)(228, 256)(229, 257)(230, 254)(233, 263)(234, 266)(235, 267)(236, 264)(239, 260)(242, 261)(243, 265)(244, 255)(245, 258)(246, 268)(249, 259)(252, 262)(269, 279)(270, 284)(271, 285)(272, 282)(273, 283)(274, 280)(275, 281)(276, 286)(277, 287)(278, 288)(289, 291)(290, 294)(292, 300)(293, 303)(295, 307)(296, 310)(297, 309)(298, 306)(299, 305)(301, 317)(302, 304)(308, 328)(311, 327)(312, 334)(313, 337)(314, 336)(315, 333)(316, 322)(318, 344)(319, 347)(320, 346)(321, 343)(323, 350)(324, 353)(325, 352)(326, 349)(329, 360)(330, 363)(331, 362)(332, 359)(335, 357)(338, 356)(339, 364)(340, 354)(341, 351)(342, 361)(345, 358)(348, 355)(365, 378)(366, 381)(367, 380)(368, 375)(369, 382)(370, 377)(371, 376)(372, 379)(373, 384)(374, 383)
	L = (1, 193)(2, 194)(3, 195)(4, 196)(5, 197)(6, 198)(7, 199)(8, 200)(9, 201)(10, 202)(11, 203)(12, 204)(13, 205)(14, 206)(15, 207)(16, 208)(17, 209)(18, 210)(19, 211)(20, 212)(21, 213)(22, 214)(23, 215)(24, 216)(25, 217)(26, 218)(27, 219)(28, 220)(29, 221)(30, 222)(31, 223)(32, 224)(33, 225)(34, 226)(35, 227)(36, 228)(37, 229)(38, 230)(39, 231)(40, 232)(41, 233)(42, 234)(43, 235)(44, 236)(45, 237)(46, 238)(47, 239)(48, 240)(49, 241)(50, 242)(51, 243)(52, 244)(53, 245)(54, 246)(55, 247)(56, 248)(57, 249)(58, 250)(59, 251)(60, 252)(61, 253)(62, 254)(63, 255)(64, 256)(65, 257)(66, 258)(67, 259)(68, 260)(69, 261)(70, 262)(71, 263)(72, 264)(73, 265)(74, 266)(75, 267)(76, 268)(77, 269)(78, 270)(79, 271)(80, 272)(81, 273)(82, 274)(83, 275)(84, 276)(85, 277)(86, 278)(87, 279)(88, 280)(89, 281)(90, 282)(91, 283)(92, 284)(93, 285)(94, 286)(95, 287)(96, 288)(97, 289)(98, 290)(99, 291)(100, 292)(101, 293)(102, 294)(103, 295)(104, 296)(105, 297)(106, 298)(107, 299)(108, 300)(109, 301)(110, 302)(111, 303)(112, 304)(113, 305)(114, 306)(115, 307)(116, 308)(117, 309)(118, 310)(119, 311)(120, 312)(121, 313)(122, 314)(123, 315)(124, 316)(125, 317)(126, 318)(127, 319)(128, 320)(129, 321)(130, 322)(131, 323)(132, 324)(133, 325)(134, 326)(135, 327)(136, 328)(137, 329)(138, 330)(139, 331)(140, 332)(141, 333)(142, 334)(143, 335)(144, 336)(145, 337)(146, 338)(147, 339)(148, 340)(149, 341)(150, 342)(151, 343)(152, 344)(153, 345)(154, 346)(155, 347)(156, 348)(157, 349)(158, 350)(159, 351)(160, 352)(161, 353)(162, 354)(163, 355)(164, 356)(165, 357)(166, 358)(167, 359)(168, 360)(169, 361)(170, 362)(171, 363)(172, 364)(173, 365)(174, 366)(175, 367)(176, 368)(177, 369)(178, 370)(179, 371)(180, 372)(181, 373)(182, 374)(183, 375)(184, 376)(185, 377)(186, 378)(187, 379)(188, 380)(189, 381)(190, 382)(191, 383)(192, 384)
	local type(s) :: { ( 8, 8 ), ( 8^8 ) }
Outer automorphisms :: reflexible
Dual of E13.1410
Graph:: simple bipartite
	v = 120 e = 192 f = 48
	degree seq :: [ 2^96, 8^24 ]

E13.1408 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 2, 4})
Quotient :: edge^2
Aut^+ = (C2 x S4) : C2 (small group id <96, 187>)
Aut   = $<192, 1472>$ (small group id <192, 1472>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^4, Y3^4, R * Y1 * R * Y2, (R * Y3)^2, (Y1 * Y3^-1 * Y2)^2, (Y2 * Y1)^3, Y1 * Y3^2 * Y2 * Y3^-1 * Y1 * Y2 * Y3^-1, (Y3 * Y2 * Y3^-1 * Y1)^2, (Y3 * Y2 * Y3 * Y1)^2 ]
Map:: polytopal
	R = (1, 97, 4, 100, 14, 110, 5, 101)(2, 98, 7, 103, 22, 118, 8, 104)(3, 99, 10, 106, 28, 124, 11, 107)(6, 102, 18, 114, 46, 142, 19, 115)(9, 105, 25, 121, 62, 158, 26, 122)(12, 108, 31, 127, 71, 167, 32, 128)(13, 109, 34, 130, 47, 143, 35, 131)(15, 111, 39, 135, 61, 157, 40, 136)(16, 112, 41, 137, 76, 172, 42, 138)(17, 113, 43, 139, 78, 174, 44, 140)(20, 116, 49, 145, 87, 183, 50, 146)(21, 117, 52, 148, 29, 125, 53, 149)(23, 119, 57, 153, 77, 173, 58, 154)(24, 120, 59, 155, 92, 188, 60, 156)(27, 123, 64, 160, 79, 175, 65, 161)(30, 126, 69, 165, 94, 190, 70, 166)(33, 129, 55, 151, 91, 187, 72, 168)(36, 132, 68, 164, 83, 179, 73, 169)(37, 133, 75, 171, 88, 184, 51, 147)(38, 134, 74, 170, 93, 189, 66, 162)(45, 141, 80, 176, 63, 159, 81, 177)(48, 144, 85, 181, 96, 192, 86, 182)(54, 150, 84, 180, 67, 163, 89, 185)(56, 152, 90, 186, 95, 191, 82, 178)(193, 194)(195, 201)(196, 204)(197, 207)(198, 209)(199, 212)(200, 215)(202, 216)(203, 221)(205, 225)(206, 228)(208, 210)(211, 239)(213, 243)(214, 246)(217, 240)(218, 255)(219, 248)(220, 258)(222, 235)(223, 261)(224, 256)(226, 252)(227, 245)(229, 266)(230, 237)(231, 257)(232, 262)(233, 251)(234, 244)(236, 271)(238, 274)(241, 277)(242, 272)(247, 282)(249, 273)(250, 278)(253, 276)(254, 280)(259, 275)(260, 269)(263, 281)(264, 270)(265, 279)(267, 284)(268, 283)(285, 288)(286, 287)(289, 291)(290, 294)(292, 301)(293, 304)(295, 309)(296, 312)(297, 305)(298, 315)(299, 318)(300, 314)(302, 325)(303, 326)(306, 333)(307, 336)(308, 332)(310, 343)(311, 344)(313, 349)(316, 355)(317, 356)(319, 340)(320, 348)(321, 351)(322, 337)(323, 345)(324, 360)(327, 341)(328, 347)(329, 346)(330, 338)(331, 365)(334, 371)(335, 372)(339, 367)(342, 376)(350, 378)(352, 373)(353, 369)(354, 370)(357, 368)(358, 374)(359, 381)(361, 380)(362, 366)(363, 382)(364, 377)(375, 383)(379, 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 ), ( 8^8 ) }
Outer automorphisms :: reflexible
Dual of E13.1411
Graph:: simple bipartite
	v = 120 e = 192 f = 48
	degree seq :: [ 2^96, 8^24 ]

E13.1409 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 2, 4})
Quotient :: loop^2
Aut^+ = (C2 x S4) : C2 (small group id <96, 187>)
Aut   = $<192, 1470>$ (small group id <192, 1470>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, Y3^2, R^2, (Y1 * Y2)^2, R * Y1 * R * Y2, (R * Y3)^2, Y2 * Y3 * Y1 * Y3 * Y1 * Y2 * Y3 * Y2 * Y3 * Y1, (Y3 * Y1)^12 ]
Map::
	R = (1, 97, 193, 289, 4, 100, 196, 292)(2, 98, 194, 290, 6, 102, 198, 294)(3, 99, 195, 291, 7, 103, 199, 295)(5, 101, 197, 293, 10, 106, 202, 298)(8, 104, 200, 296, 16, 112, 208, 304)(9, 105, 201, 297, 17, 113, 209, 305)(11, 107, 203, 299, 21, 117, 213, 309)(12, 108, 204, 300, 22, 118, 214, 310)(13, 109, 205, 301, 24, 120, 216, 312)(14, 110, 206, 302, 25, 121, 217, 313)(15, 111, 207, 303, 26, 122, 218, 314)(18, 114, 210, 306, 32, 128, 224, 320)(19, 115, 211, 307, 33, 129, 225, 321)(20, 116, 212, 308, 34, 130, 226, 322)(23, 119, 215, 311, 39, 135, 231, 327)(27, 123, 219, 315, 40, 136, 232, 328)(28, 124, 220, 316, 41, 137, 233, 329)(29, 125, 221, 317, 42, 138, 234, 330)(30, 126, 222, 318, 43, 139, 235, 331)(31, 127, 223, 319, 44, 140, 236, 332)(35, 131, 227, 323, 45, 141, 237, 333)(36, 132, 228, 324, 46, 142, 238, 334)(37, 133, 229, 325, 47, 143, 239, 335)(38, 134, 230, 326, 48, 144, 240, 336)(49, 145, 241, 337, 57, 153, 249, 345)(50, 146, 242, 338, 58, 154, 250, 346)(51, 147, 243, 339, 59, 155, 251, 347)(52, 148, 244, 340, 60, 156, 252, 348)(53, 149, 245, 341, 61, 157, 253, 349)(54, 150, 246, 342, 62, 158, 254, 350)(55, 151, 247, 343, 63, 159, 255, 351)(56, 152, 248, 344, 64, 160, 256, 352)(65, 161, 257, 353, 73, 169, 265, 361)(66, 162, 258, 354, 74, 170, 266, 362)(67, 163, 259, 355, 75, 171, 267, 363)(68, 164, 260, 356, 76, 172, 268, 364)(69, 165, 261, 357, 77, 173, 269, 365)(70, 166, 262, 358, 78, 174, 270, 366)(71, 167, 263, 359, 79, 175, 271, 367)(72, 168, 264, 360, 80, 176, 272, 368)(81, 177, 273, 369, 89, 185, 281, 377)(82, 178, 274, 370, 90, 186, 282, 378)(83, 179, 275, 371, 91, 187, 283, 379)(84, 180, 276, 372, 92, 188, 284, 380)(85, 181, 277, 373, 93, 189, 285, 381)(86, 182, 278, 374, 94, 190, 286, 382)(87, 183, 279, 375, 95, 191, 287, 383)(88, 184, 280, 376, 96, 192, 288, 384)
	L = (1, 98)(2, 97)(3, 101)(4, 104)(5, 99)(6, 107)(7, 109)(8, 100)(9, 111)(10, 114)(11, 102)(12, 116)(13, 103)(14, 119)(15, 105)(16, 123)(17, 125)(18, 106)(19, 127)(20, 108)(21, 131)(22, 133)(23, 110)(24, 134)(25, 132)(26, 135)(27, 112)(28, 129)(29, 113)(30, 128)(31, 115)(32, 126)(33, 124)(34, 140)(35, 117)(36, 121)(37, 118)(38, 120)(39, 122)(40, 145)(41, 147)(42, 148)(43, 146)(44, 130)(45, 149)(46, 151)(47, 152)(48, 150)(49, 136)(50, 139)(51, 137)(52, 138)(53, 141)(54, 144)(55, 142)(56, 143)(57, 161)(58, 163)(59, 164)(60, 162)(61, 165)(62, 167)(63, 168)(64, 166)(65, 153)(66, 156)(67, 154)(68, 155)(69, 157)(70, 160)(71, 158)(72, 159)(73, 177)(74, 179)(75, 180)(76, 178)(77, 181)(78, 183)(79, 184)(80, 182)(81, 169)(82, 172)(83, 170)(84, 171)(85, 173)(86, 176)(87, 174)(88, 175)(89, 189)(90, 191)(91, 190)(92, 192)(93, 185)(94, 187)(95, 186)(96, 188)(193, 291)(194, 293)(195, 289)(196, 297)(197, 290)(198, 300)(199, 302)(200, 303)(201, 292)(202, 307)(203, 308)(204, 294)(205, 311)(206, 295)(207, 296)(208, 316)(209, 318)(210, 319)(211, 298)(212, 299)(213, 324)(214, 326)(215, 301)(216, 325)(217, 323)(218, 322)(219, 321)(220, 304)(221, 320)(222, 305)(223, 306)(224, 317)(225, 315)(226, 314)(227, 313)(228, 309)(229, 312)(230, 310)(231, 332)(232, 338)(233, 340)(234, 339)(235, 337)(236, 327)(237, 342)(238, 344)(239, 343)(240, 341)(241, 331)(242, 328)(243, 330)(244, 329)(245, 336)(246, 333)(247, 335)(248, 334)(249, 354)(250, 356)(251, 355)(252, 353)(253, 358)(254, 360)(255, 359)(256, 357)(257, 348)(258, 345)(259, 347)(260, 346)(261, 352)(262, 349)(263, 351)(264, 350)(265, 370)(266, 372)(267, 371)(268, 369)(269, 374)(270, 376)(271, 375)(272, 373)(273, 364)(274, 361)(275, 363)(276, 362)(277, 368)(278, 365)(279, 367)(280, 366)(281, 384)(282, 382)(283, 383)(284, 381)(285, 380)(286, 378)(287, 379)(288, 377)
	local type(s) :: { ( 2, 8, 2, 8, 2, 8, 2, 8 ) }
Outer automorphisms :: reflexible
Dual of E13.1406
Transitivity :: VT+
Graph:: bipartite
	v = 48 e = 192 f = 120
	degree seq :: [ 8^48 ]

E13.1410 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 2, 4})
Quotient :: loop^2
Aut^+ = C2 x C2 x S4 (small group id <96, 226>)
Aut   = $<192, 1472>$ (small group id <192, 1472>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, Y3^2, R^2, (R * Y3)^2, R * Y1 * R * Y2, (Y2 * Y1)^2, Y1 * Y3 * Y1 * Y2 * Y3 * Y1 * Y2 * Y3 * Y1 * Y2 * Y3 * Y2, (Y3 * Y1 * Y3 * Y2 * Y3 * Y2)^2, (Y3 * Y1 * Y3 * Y1 * Y3 * Y2)^2, (Y3 * Y2)^6, (Y3 * Y1)^6 ]
Map::
	R = (1, 97, 193, 289, 4, 100, 196, 292)(2, 98, 194, 290, 6, 102, 198, 294)(3, 99, 195, 291, 7, 103, 199, 295)(5, 101, 197, 293, 10, 106, 202, 298)(8, 104, 200, 296, 16, 112, 208, 304)(9, 105, 201, 297, 17, 113, 209, 305)(11, 107, 203, 299, 21, 117, 213, 309)(12, 108, 204, 300, 22, 118, 214, 310)(13, 109, 205, 301, 24, 120, 216, 312)(14, 110, 206, 302, 25, 121, 217, 313)(15, 111, 207, 303, 26, 122, 218, 314)(18, 114, 210, 306, 32, 128, 224, 320)(19, 115, 211, 307, 33, 129, 225, 321)(20, 116, 212, 308, 34, 130, 226, 322)(23, 119, 215, 311, 39, 135, 231, 327)(27, 123, 219, 315, 47, 143, 239, 335)(28, 124, 220, 316, 48, 144, 240, 336)(29, 125, 221, 317, 50, 146, 242, 338)(30, 126, 222, 318, 51, 147, 243, 339)(31, 127, 223, 319, 52, 148, 244, 340)(35, 131, 227, 323, 60, 156, 252, 348)(36, 132, 228, 324, 61, 157, 253, 349)(37, 133, 229, 325, 63, 159, 255, 351)(38, 134, 230, 326, 64, 160, 256, 352)(40, 136, 232, 328, 66, 162, 258, 354)(41, 137, 233, 329, 67, 163, 259, 355)(42, 138, 234, 330, 69, 165, 261, 357)(43, 139, 235, 331, 70, 166, 262, 358)(44, 140, 236, 332, 71, 167, 263, 359)(45, 141, 237, 333, 72, 168, 264, 360)(46, 142, 238, 334, 73, 169, 265, 361)(49, 145, 241, 337, 74, 170, 266, 362)(53, 149, 245, 341, 76, 172, 268, 364)(54, 150, 246, 342, 77, 173, 269, 365)(55, 151, 247, 343, 79, 175, 271, 367)(56, 152, 248, 344, 80, 176, 272, 368)(57, 153, 249, 345, 81, 177, 273, 369)(58, 154, 250, 346, 82, 178, 274, 370)(59, 155, 251, 347, 83, 179, 275, 371)(62, 158, 254, 350, 84, 180, 276, 372)(65, 161, 257, 353, 85, 181, 277, 373)(68, 164, 260, 356, 86, 182, 278, 374)(75, 171, 267, 363, 88, 184, 280, 376)(78, 174, 270, 366, 89, 185, 281, 377)(87, 183, 279, 375, 92, 188, 284, 380)(90, 186, 282, 378, 94, 190, 286, 382)(91, 187, 283, 379, 95, 191, 287, 383)(93, 189, 285, 381, 96, 192, 288, 384)
	L = (1, 98)(2, 97)(3, 101)(4, 104)(5, 99)(6, 107)(7, 109)(8, 100)(9, 111)(10, 114)(11, 102)(12, 116)(13, 103)(14, 119)(15, 105)(16, 123)(17, 125)(18, 106)(19, 127)(20, 108)(21, 131)(22, 133)(23, 110)(24, 136)(25, 138)(26, 140)(27, 112)(28, 142)(29, 113)(30, 145)(31, 115)(32, 149)(33, 151)(34, 153)(35, 117)(36, 155)(37, 118)(38, 158)(39, 154)(40, 120)(41, 161)(42, 121)(43, 164)(44, 122)(45, 148)(46, 124)(47, 156)(48, 159)(49, 126)(50, 157)(51, 160)(52, 141)(53, 128)(54, 171)(55, 129)(56, 174)(57, 130)(58, 135)(59, 132)(60, 143)(61, 146)(62, 134)(63, 144)(64, 147)(65, 137)(66, 172)(67, 175)(68, 139)(69, 173)(70, 176)(71, 179)(72, 181)(73, 177)(74, 183)(75, 150)(76, 162)(77, 165)(78, 152)(79, 163)(80, 166)(81, 169)(82, 184)(83, 167)(84, 186)(85, 168)(86, 187)(87, 170)(88, 178)(89, 189)(90, 180)(91, 182)(92, 190)(93, 185)(94, 188)(95, 192)(96, 191)(193, 291)(194, 293)(195, 289)(196, 297)(197, 290)(198, 300)(199, 302)(200, 303)(201, 292)(202, 307)(203, 308)(204, 294)(205, 311)(206, 295)(207, 296)(208, 316)(209, 318)(210, 319)(211, 298)(212, 299)(213, 324)(214, 326)(215, 301)(216, 329)(217, 331)(218, 333)(219, 334)(220, 304)(221, 337)(222, 305)(223, 306)(224, 342)(225, 344)(226, 346)(227, 347)(228, 309)(229, 350)(230, 310)(231, 345)(232, 353)(233, 312)(234, 356)(235, 313)(236, 340)(237, 314)(238, 315)(239, 354)(240, 357)(241, 317)(242, 355)(243, 358)(244, 332)(245, 363)(246, 320)(247, 366)(248, 321)(249, 327)(250, 322)(251, 323)(252, 364)(253, 367)(254, 325)(255, 365)(256, 368)(257, 328)(258, 335)(259, 338)(260, 330)(261, 336)(262, 339)(263, 372)(264, 374)(265, 375)(266, 369)(267, 341)(268, 348)(269, 351)(270, 343)(271, 349)(272, 352)(273, 362)(274, 377)(275, 378)(276, 359)(277, 379)(278, 360)(279, 361)(280, 381)(281, 370)(282, 371)(283, 373)(284, 383)(285, 376)(286, 384)(287, 380)(288, 382)
	local type(s) :: { ( 2, 8, 2, 8, 2, 8, 2, 8 ) }
Outer automorphisms :: reflexible
Dual of E13.1407
Transitivity :: VT+
Graph:: bipartite
	v = 48 e = 192 f = 120
	degree seq :: [ 8^48 ]

E13.1411 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 2, 4})
Quotient :: loop^2
Aut^+ = (C2 x S4) : C2 (small group id <96, 187>)
Aut   = $<192, 1472>$ (small group id <192, 1472>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, Y3^2, R^2, (R * Y3)^2, R * Y1 * R * Y2, (Y2 * Y1)^3, (Y3 * Y1 * Y3 * Y2)^2, Y3 * Y2 * Y3 * Y2 * Y1 * Y3 * Y1 * Y3 * Y1 * Y2, (Y1 * Y3 * Y2)^4 ]
Map::
	R = (1, 97, 193, 289, 4, 100, 196, 292)(2, 98, 194, 290, 6, 102, 198, 294)(3, 99, 195, 291, 8, 104, 200, 296)(5, 101, 197, 293, 12, 108, 204, 300)(7, 103, 199, 295, 15, 111, 207, 303)(9, 105, 201, 297, 19, 115, 211, 307)(10, 106, 202, 298, 21, 117, 213, 309)(11, 107, 203, 299, 22, 118, 214, 310)(13, 109, 205, 301, 26, 122, 218, 314)(14, 110, 206, 302, 28, 124, 220, 316)(16, 112, 208, 304, 32, 128, 224, 320)(17, 113, 209, 305, 34, 130, 226, 322)(18, 114, 210, 306, 36, 132, 228, 324)(20, 116, 212, 308, 38, 134, 230, 326)(23, 119, 215, 311, 43, 139, 235, 331)(24, 120, 216, 312, 45, 141, 237, 333)(25, 121, 217, 313, 47, 143, 239, 335)(27, 123, 219, 315, 49, 145, 241, 337)(29, 125, 221, 317, 52, 148, 244, 340)(30, 126, 222, 318, 54, 150, 246, 342)(31, 127, 223, 319, 56, 152, 248, 344)(33, 129, 225, 321, 58, 154, 250, 346)(35, 131, 227, 323, 59, 155, 251, 347)(37, 133, 229, 325, 61, 157, 253, 349)(39, 135, 231, 327, 63, 159, 255, 351)(40, 136, 232, 328, 65, 161, 257, 353)(41, 137, 233, 329, 67, 163, 259, 355)(42, 138, 234, 330, 69, 165, 261, 357)(44, 140, 236, 332, 71, 167, 263, 359)(46, 142, 238, 334, 72, 168, 264, 360)(48, 144, 240, 336, 74, 170, 266, 362)(50, 146, 242, 338, 76, 172, 268, 364)(51, 147, 243, 339, 78, 174, 270, 366)(53, 149, 245, 341, 79, 175, 271, 367)(55, 151, 247, 343, 80, 176, 272, 368)(57, 153, 249, 345, 81, 177, 273, 369)(60, 156, 252, 348, 83, 179, 275, 371)(62, 158, 254, 350, 85, 181, 277, 373)(64, 160, 256, 352, 87, 183, 279, 375)(66, 162, 258, 354, 88, 184, 280, 376)(68, 164, 260, 356, 89, 185, 281, 377)(70, 166, 262, 358, 90, 186, 282, 378)(73, 169, 265, 361, 92, 188, 284, 380)(75, 171, 267, 363, 94, 190, 286, 382)(77, 173, 269, 365, 95, 191, 287, 383)(82, 178, 274, 370, 93, 189, 285, 381)(84, 180, 276, 372, 91, 187, 283, 379)(86, 182, 278, 374, 96, 192, 288, 384)
	L = (1, 98)(2, 97)(3, 103)(4, 105)(5, 107)(6, 109)(7, 99)(8, 112)(9, 100)(10, 116)(11, 101)(12, 119)(13, 102)(14, 123)(15, 125)(16, 104)(17, 129)(18, 131)(19, 133)(20, 106)(21, 124)(22, 136)(23, 108)(24, 140)(25, 142)(26, 144)(27, 110)(28, 117)(29, 111)(30, 149)(31, 151)(32, 153)(33, 113)(34, 150)(35, 114)(36, 156)(37, 115)(38, 154)(39, 148)(40, 118)(41, 162)(42, 164)(43, 166)(44, 120)(45, 163)(46, 121)(47, 169)(48, 122)(49, 167)(50, 161)(51, 173)(52, 135)(53, 126)(54, 130)(55, 127)(56, 171)(57, 128)(58, 134)(59, 176)(60, 132)(61, 180)(62, 165)(63, 181)(64, 182)(65, 146)(66, 137)(67, 141)(68, 138)(69, 158)(70, 139)(71, 145)(72, 185)(73, 143)(74, 189)(75, 152)(76, 190)(77, 147)(78, 187)(79, 184)(80, 155)(81, 188)(82, 183)(83, 186)(84, 157)(85, 159)(86, 160)(87, 178)(88, 175)(89, 168)(90, 179)(91, 174)(92, 177)(93, 170)(94, 172)(95, 192)(96, 191)(193, 291)(194, 293)(195, 289)(196, 298)(197, 290)(198, 302)(199, 299)(200, 305)(201, 306)(202, 292)(203, 295)(204, 312)(205, 313)(206, 294)(207, 318)(208, 319)(209, 296)(210, 297)(211, 320)(212, 323)(213, 327)(214, 329)(215, 330)(216, 300)(217, 301)(218, 331)(219, 334)(220, 338)(221, 339)(222, 303)(223, 304)(224, 307)(225, 343)(226, 336)(227, 308)(228, 335)(229, 333)(230, 350)(231, 309)(232, 352)(233, 310)(234, 311)(235, 314)(236, 356)(237, 325)(238, 315)(239, 324)(240, 322)(241, 363)(242, 316)(243, 317)(244, 353)(245, 365)(246, 358)(247, 321)(248, 366)(249, 355)(250, 370)(251, 360)(252, 367)(253, 371)(254, 326)(255, 372)(256, 328)(257, 340)(258, 374)(259, 345)(260, 332)(261, 375)(262, 342)(263, 379)(264, 347)(265, 376)(266, 380)(267, 337)(268, 381)(269, 341)(270, 344)(271, 348)(272, 383)(273, 382)(274, 346)(275, 349)(276, 351)(277, 378)(278, 354)(279, 357)(280, 361)(281, 384)(282, 373)(283, 359)(284, 362)(285, 364)(286, 369)(287, 368)(288, 377)
	local type(s) :: { ( 2, 8, 2, 8, 2, 8, 2, 8 ) }
Outer automorphisms :: reflexible
Dual of E13.1408
Transitivity :: VT+
Graph:: bipartite
	v = 48 e = 192 f = 120
	degree seq :: [ 8^48 ]

E13.1412 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 2, 4})
Quotient :: loop^2
Aut^+ = (C2 x S4) : C2 (small group id <96, 187>)
Aut   = $<192, 1470>$ (small group id <192, 1470>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, (Y1 * Y2)^2, (R * Y3)^2, R * Y1 * R * Y2, Y3^4, Y1 * Y3^-1 * Y1 * Y2 * Y3^-1 * Y2, Y3^-1 * Y2 * Y3^-2 * Y1 * Y3^-1, Y3^-1 * Y2 * Y3^-1 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 ]
Map::
	R = (1, 97, 193, 289, 4, 100, 196, 292, 13, 109, 205, 301, 5, 101, 197, 293)(2, 98, 194, 290, 7, 103, 199, 295, 20, 116, 212, 308, 8, 104, 200, 296)(3, 99, 195, 291, 9, 105, 201, 297, 23, 119, 215, 311, 10, 106, 202, 298)(6, 102, 198, 294, 16, 112, 208, 304, 28, 124, 220, 316, 17, 113, 209, 305)(11, 107, 203, 299, 24, 120, 216, 312, 15, 111, 207, 303, 25, 121, 217, 313)(12, 108, 204, 300, 26, 122, 218, 314, 14, 110, 206, 302, 27, 123, 219, 315)(18, 114, 210, 306, 29, 125, 221, 317, 22, 118, 214, 310, 30, 126, 222, 318)(19, 115, 211, 307, 31, 127, 223, 319, 21, 117, 213, 309, 32, 128, 224, 320)(33, 129, 225, 321, 41, 137, 233, 329, 36, 132, 228, 324, 42, 138, 234, 330)(34, 130, 226, 322, 43, 139, 235, 331, 35, 131, 227, 323, 44, 140, 236, 332)(37, 133, 229, 325, 45, 141, 237, 333, 40, 136, 232, 328, 46, 142, 238, 334)(38, 134, 230, 326, 47, 143, 239, 335, 39, 135, 231, 327, 48, 144, 240, 336)(49, 145, 241, 337, 57, 153, 249, 345, 52, 148, 244, 340, 58, 154, 250, 346)(50, 146, 242, 338, 59, 155, 251, 347, 51, 147, 243, 339, 60, 156, 252, 348)(53, 149, 245, 341, 61, 157, 253, 349, 56, 152, 248, 344, 62, 158, 254, 350)(54, 150, 246, 342, 63, 159, 255, 351, 55, 151, 247, 343, 64, 160, 256, 352)(65, 161, 257, 353, 73, 169, 265, 361, 68, 164, 260, 356, 74, 170, 266, 362)(66, 162, 258, 354, 75, 171, 267, 363, 67, 163, 259, 355, 76, 172, 268, 364)(69, 165, 261, 357, 77, 173, 269, 365, 72, 168, 264, 360, 78, 174, 270, 366)(70, 166, 262, 358, 79, 175, 271, 367, 71, 167, 263, 359, 80, 176, 272, 368)(81, 177, 273, 369, 89, 185, 281, 377, 84, 180, 276, 372, 90, 186, 282, 378)(82, 178, 274, 370, 91, 187, 283, 379, 83, 179, 275, 371, 92, 188, 284, 380)(85, 181, 277, 373, 93, 189, 285, 381, 88, 184, 280, 376, 94, 190, 286, 382)(86, 182, 278, 374, 95, 191, 287, 383, 87, 183, 279, 375, 96, 192, 288, 384)
	L = (1, 98)(2, 97)(3, 102)(4, 107)(5, 110)(6, 99)(7, 114)(8, 117)(9, 118)(10, 115)(11, 100)(12, 113)(13, 119)(14, 101)(15, 112)(16, 111)(17, 108)(18, 103)(19, 106)(20, 124)(21, 104)(22, 105)(23, 109)(24, 129)(25, 131)(26, 132)(27, 130)(28, 116)(29, 133)(30, 135)(31, 136)(32, 134)(33, 120)(34, 123)(35, 121)(36, 122)(37, 125)(38, 128)(39, 126)(40, 127)(41, 145)(42, 147)(43, 148)(44, 146)(45, 149)(46, 151)(47, 152)(48, 150)(49, 137)(50, 140)(51, 138)(52, 139)(53, 141)(54, 144)(55, 142)(56, 143)(57, 161)(58, 163)(59, 164)(60, 162)(61, 165)(62, 167)(63, 168)(64, 166)(65, 153)(66, 156)(67, 154)(68, 155)(69, 157)(70, 160)(71, 158)(72, 159)(73, 177)(74, 179)(75, 180)(76, 178)(77, 181)(78, 183)(79, 184)(80, 182)(81, 169)(82, 172)(83, 170)(84, 171)(85, 173)(86, 176)(87, 174)(88, 175)(89, 189)(90, 191)(91, 190)(92, 192)(93, 185)(94, 187)(95, 186)(96, 188)(193, 291)(194, 294)(195, 289)(196, 300)(197, 303)(198, 290)(199, 307)(200, 310)(201, 309)(202, 306)(203, 305)(204, 292)(205, 308)(206, 304)(207, 293)(208, 302)(209, 299)(210, 298)(211, 295)(212, 301)(213, 297)(214, 296)(215, 316)(216, 322)(217, 324)(218, 323)(219, 321)(220, 311)(221, 326)(222, 328)(223, 327)(224, 325)(225, 315)(226, 312)(227, 314)(228, 313)(229, 320)(230, 317)(231, 319)(232, 318)(233, 338)(234, 340)(235, 339)(236, 337)(237, 342)(238, 344)(239, 343)(240, 341)(241, 332)(242, 329)(243, 331)(244, 330)(245, 336)(246, 333)(247, 335)(248, 334)(249, 354)(250, 356)(251, 355)(252, 353)(253, 358)(254, 360)(255, 359)(256, 357)(257, 348)(258, 345)(259, 347)(260, 346)(261, 352)(262, 349)(263, 351)(264, 350)(265, 370)(266, 372)(267, 371)(268, 369)(269, 374)(270, 376)(271, 375)(272, 373)(273, 364)(274, 361)(275, 363)(276, 362)(277, 368)(278, 365)(279, 367)(280, 366)(281, 384)(282, 382)(283, 383)(284, 381)(285, 380)(286, 378)(287, 379)(288, 377)
	local type(s) :: { ( 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4 ) }
Outer automorphisms :: reflexible
Dual of E13.1403
Transitivity :: VT+
Graph:: bipartite
	v = 24 e = 192 f = 144
	degree seq :: [ 16^24 ]

E13.1413 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 2, 4})
Quotient :: loop^2
Aut^+ = C2 x C2 x S4 (small group id <96, 226>)
Aut   = $<192, 1472>$ (small group id <192, 1472>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^4, (Y2 * Y1)^2, R * Y1 * R * Y2, (R * Y3)^2, (Y2 * Y1 * Y3^-1)^2, Y1 * Y3^-1 * Y1 * Y2 * Y3^-1 * Y2, Y3^-1 * Y1 * Y3^-1 * Y2 * Y3^-2 * Y2 * Y3^-1 * Y1 * Y3^-1, Y3^-1 * Y1 * Y3 * Y2 * Y3^-2 * Y2 * Y3 * Y1 * Y3^-1, (Y3 * Y2)^6, Y3 * Y2 * Y3 * Y2 * Y3^-1 * Y1 * Y3 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 ]
Map::
	R = (1, 97, 193, 289, 4, 100, 196, 292, 13, 109, 205, 301, 5, 101, 197, 293)(2, 98, 194, 290, 7, 103, 199, 295, 20, 116, 212, 308, 8, 104, 200, 296)(3, 99, 195, 291, 9, 105, 201, 297, 23, 119, 215, 311, 10, 106, 202, 298)(6, 102, 198, 294, 16, 112, 208, 304, 34, 130, 226, 322, 17, 113, 209, 305)(11, 107, 203, 299, 24, 120, 216, 312, 47, 143, 239, 335, 25, 121, 217, 313)(12, 108, 204, 300, 26, 122, 218, 314, 50, 146, 242, 338, 27, 123, 219, 315)(14, 110, 206, 302, 30, 126, 222, 318, 57, 153, 249, 345, 31, 127, 223, 319)(15, 111, 207, 303, 32, 128, 224, 320, 60, 156, 252, 348, 33, 129, 225, 321)(18, 114, 210, 306, 35, 131, 227, 323, 63, 159, 255, 351, 36, 132, 228, 324)(19, 115, 211, 307, 37, 133, 229, 325, 66, 162, 258, 354, 38, 134, 230, 326)(21, 117, 213, 309, 41, 137, 233, 329, 73, 169, 265, 361, 42, 138, 234, 330)(22, 118, 214, 310, 43, 139, 235, 331, 76, 172, 268, 364, 44, 140, 236, 332)(28, 124, 220, 316, 51, 147, 243, 339, 85, 181, 277, 373, 52, 148, 244, 340)(29, 125, 221, 317, 53, 149, 245, 341, 86, 182, 278, 374, 54, 150, 246, 342)(39, 135, 231, 327, 67, 163, 259, 355, 95, 191, 287, 383, 68, 164, 260, 356)(40, 136, 232, 328, 69, 165, 261, 357, 96, 192, 288, 384, 70, 166, 262, 358)(45, 141, 237, 333, 77, 173, 269, 365, 58, 154, 250, 346, 78, 174, 270, 366)(46, 142, 238, 334, 79, 175, 271, 367, 59, 155, 251, 347, 80, 176, 272, 368)(48, 144, 240, 336, 81, 177, 273, 369, 55, 151, 247, 343, 82, 178, 274, 370)(49, 145, 241, 337, 83, 179, 275, 371, 56, 152, 248, 344, 84, 180, 276, 372)(61, 157, 253, 349, 87, 183, 279, 375, 74, 170, 266, 362, 88, 184, 280, 376)(62, 158, 254, 350, 89, 185, 281, 377, 75, 171, 267, 363, 90, 186, 282, 378)(64, 160, 256, 352, 91, 187, 283, 379, 71, 167, 263, 359, 92, 188, 284, 380)(65, 161, 257, 353, 93, 189, 285, 381, 72, 168, 264, 360, 94, 190, 286, 382)
	L = (1, 98)(2, 97)(3, 102)(4, 107)(5, 110)(6, 99)(7, 114)(8, 117)(9, 118)(10, 115)(11, 100)(12, 113)(13, 124)(14, 101)(15, 112)(16, 111)(17, 108)(18, 103)(19, 106)(20, 135)(21, 104)(22, 105)(23, 136)(24, 141)(25, 144)(26, 145)(27, 142)(28, 109)(29, 130)(30, 151)(31, 154)(32, 155)(33, 152)(34, 125)(35, 157)(36, 160)(37, 161)(38, 158)(39, 116)(40, 119)(41, 167)(42, 170)(43, 171)(44, 168)(45, 120)(46, 123)(47, 164)(48, 121)(49, 122)(50, 165)(51, 169)(52, 159)(53, 162)(54, 172)(55, 126)(56, 129)(57, 163)(58, 127)(59, 128)(60, 166)(61, 131)(62, 134)(63, 148)(64, 132)(65, 133)(66, 149)(67, 153)(68, 143)(69, 146)(70, 156)(71, 137)(72, 140)(73, 147)(74, 138)(75, 139)(76, 150)(77, 183)(78, 188)(79, 189)(80, 186)(81, 187)(82, 184)(83, 185)(84, 190)(85, 191)(86, 192)(87, 173)(88, 178)(89, 179)(90, 176)(91, 177)(92, 174)(93, 175)(94, 180)(95, 181)(96, 182)(193, 291)(194, 294)(195, 289)(196, 300)(197, 303)(198, 290)(199, 307)(200, 310)(201, 309)(202, 306)(203, 305)(204, 292)(205, 317)(206, 304)(207, 293)(208, 302)(209, 299)(210, 298)(211, 295)(212, 328)(213, 297)(214, 296)(215, 327)(216, 334)(217, 337)(218, 336)(219, 333)(220, 322)(221, 301)(222, 344)(223, 347)(224, 346)(225, 343)(226, 316)(227, 350)(228, 353)(229, 352)(230, 349)(231, 311)(232, 308)(233, 360)(234, 363)(235, 362)(236, 359)(237, 315)(238, 312)(239, 357)(240, 314)(241, 313)(242, 356)(243, 364)(244, 354)(245, 351)(246, 361)(247, 321)(248, 318)(249, 358)(250, 320)(251, 319)(252, 355)(253, 326)(254, 323)(255, 341)(256, 325)(257, 324)(258, 340)(259, 348)(260, 338)(261, 335)(262, 345)(263, 332)(264, 329)(265, 342)(266, 331)(267, 330)(268, 339)(269, 378)(270, 381)(271, 380)(272, 375)(273, 382)(274, 377)(275, 376)(276, 379)(277, 384)(278, 383)(279, 368)(280, 371)(281, 370)(282, 365)(283, 372)(284, 367)(285, 366)(286, 369)(287, 374)(288, 373)
	local type(s) :: { ( 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4 ) }
Outer automorphisms :: reflexible
Dual of E13.1404
Transitivity :: VT+
Graph:: bipartite
	v = 24 e = 192 f = 144
	degree seq :: [ 16^24 ]

E13.1414 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 2, 4})
Quotient :: loop^2
Aut^+ = (C2 x S4) : C2 (small group id <96, 187>)
Aut   = $<192, 1472>$ (small group id <192, 1472>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^4, Y3^4, R * Y1 * R * Y2, (R * Y3)^2, (Y1 * Y3^-1 * Y2)^2, (Y2 * Y1)^3, Y1 * Y3^2 * Y2 * Y3^-1 * Y1 * Y2 * Y3^-1, (Y3 * Y2 * Y3^-1 * Y1)^2, (Y3 * Y2 * Y3 * Y1)^2 ]
Map::
	R = (1, 97, 193, 289, 4, 100, 196, 292, 14, 110, 206, 302, 5, 101, 197, 293)(2, 98, 194, 290, 7, 103, 199, 295, 22, 118, 214, 310, 8, 104, 200, 296)(3, 99, 195, 291, 10, 106, 202, 298, 28, 124, 220, 316, 11, 107, 203, 299)(6, 102, 198, 294, 18, 114, 210, 306, 46, 142, 238, 334, 19, 115, 211, 307)(9, 105, 201, 297, 25, 121, 217, 313, 62, 158, 254, 350, 26, 122, 218, 314)(12, 108, 204, 300, 31, 127, 223, 319, 71, 167, 263, 359, 32, 128, 224, 320)(13, 109, 205, 301, 34, 130, 226, 322, 47, 143, 239, 335, 35, 131, 227, 323)(15, 111, 207, 303, 39, 135, 231, 327, 61, 157, 253, 349, 40, 136, 232, 328)(16, 112, 208, 304, 41, 137, 233, 329, 76, 172, 268, 364, 42, 138, 234, 330)(17, 113, 209, 305, 43, 139, 235, 331, 78, 174, 270, 366, 44, 140, 236, 332)(20, 116, 212, 308, 49, 145, 241, 337, 87, 183, 279, 375, 50, 146, 242, 338)(21, 117, 213, 309, 52, 148, 244, 340, 29, 125, 221, 317, 53, 149, 245, 341)(23, 119, 215, 311, 57, 153, 249, 345, 77, 173, 269, 365, 58, 154, 250, 346)(24, 120, 216, 312, 59, 155, 251, 347, 92, 188, 284, 380, 60, 156, 252, 348)(27, 123, 219, 315, 64, 160, 256, 352, 79, 175, 271, 367, 65, 161, 257, 353)(30, 126, 222, 318, 69, 165, 261, 357, 94, 190, 286, 382, 70, 166, 262, 358)(33, 129, 225, 321, 55, 151, 247, 343, 91, 187, 283, 379, 72, 168, 264, 360)(36, 132, 228, 324, 68, 164, 260, 356, 83, 179, 275, 371, 73, 169, 265, 361)(37, 133, 229, 325, 75, 171, 267, 363, 88, 184, 280, 376, 51, 147, 243, 339)(38, 134, 230, 326, 74, 170, 266, 362, 93, 189, 285, 381, 66, 162, 258, 354)(45, 141, 237, 333, 80, 176, 272, 368, 63, 159, 255, 351, 81, 177, 273, 369)(48, 144, 240, 336, 85, 181, 277, 373, 96, 192, 288, 384, 86, 182, 278, 374)(54, 150, 246, 342, 84, 180, 276, 372, 67, 163, 259, 355, 89, 185, 281, 377)(56, 152, 248, 344, 90, 186, 282, 378, 95, 191, 287, 383, 82, 178, 274, 370)
	L = (1, 98)(2, 97)(3, 105)(4, 108)(5, 111)(6, 113)(7, 116)(8, 119)(9, 99)(10, 120)(11, 125)(12, 100)(13, 129)(14, 132)(15, 101)(16, 114)(17, 102)(18, 112)(19, 143)(20, 103)(21, 147)(22, 150)(23, 104)(24, 106)(25, 144)(26, 159)(27, 152)(28, 162)(29, 107)(30, 139)(31, 165)(32, 160)(33, 109)(34, 156)(35, 149)(36, 110)(37, 170)(38, 141)(39, 161)(40, 166)(41, 155)(42, 148)(43, 126)(44, 175)(45, 134)(46, 178)(47, 115)(48, 121)(49, 181)(50, 176)(51, 117)(52, 138)(53, 131)(54, 118)(55, 186)(56, 123)(57, 177)(58, 182)(59, 137)(60, 130)(61, 180)(62, 184)(63, 122)(64, 128)(65, 135)(66, 124)(67, 179)(68, 173)(69, 127)(70, 136)(71, 185)(72, 174)(73, 183)(74, 133)(75, 188)(76, 187)(77, 164)(78, 168)(79, 140)(80, 146)(81, 153)(82, 142)(83, 163)(84, 157)(85, 145)(86, 154)(87, 169)(88, 158)(89, 167)(90, 151)(91, 172)(92, 171)(93, 192)(94, 191)(95, 190)(96, 189)(193, 291)(194, 294)(195, 289)(196, 301)(197, 304)(198, 290)(199, 309)(200, 312)(201, 305)(202, 315)(203, 318)(204, 314)(205, 292)(206, 325)(207, 326)(208, 293)(209, 297)(210, 333)(211, 336)(212, 332)(213, 295)(214, 343)(215, 344)(216, 296)(217, 349)(218, 300)(219, 298)(220, 355)(221, 356)(222, 299)(223, 340)(224, 348)(225, 351)(226, 337)(227, 345)(228, 360)(229, 302)(230, 303)(231, 341)(232, 347)(233, 346)(234, 338)(235, 365)(236, 308)(237, 306)(238, 371)(239, 372)(240, 307)(241, 322)(242, 330)(243, 367)(244, 319)(245, 327)(246, 376)(247, 310)(248, 311)(249, 323)(250, 329)(251, 328)(252, 320)(253, 313)(254, 378)(255, 321)(256, 373)(257, 369)(258, 370)(259, 316)(260, 317)(261, 368)(262, 374)(263, 381)(264, 324)(265, 380)(266, 366)(267, 382)(268, 377)(269, 331)(270, 362)(271, 339)(272, 357)(273, 353)(274, 354)(275, 334)(276, 335)(277, 352)(278, 358)(279, 383)(280, 342)(281, 364)(282, 350)(283, 384)(284, 361)(285, 359)(286, 363)(287, 375)(288, 379)
	local type(s) :: { ( 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4 ) }
Outer automorphisms :: reflexible
Dual of E13.1405
Transitivity :: VT+
Graph:: bipartite
	v = 24 e = 192 f = 144
	degree seq :: [ 16^24 ]

E13.1415 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 4})
Quotient :: dipole
Aut^+ = (C2 x S4) : C2 (small group id <96, 187>)
Aut   = $<192, 1470>$ (small group id <192, 1470>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, Y3^2, R^2, (Y2 * Y3)^2, (R * Y3)^2, (R * Y2)^2, (R * Y1)^2, (Y3 * Y1)^4, Y3 * Y2 * Y1 * Y3 * Y1 * Y2 * Y1 * Y3 * Y1, (Y2 * Y1)^12 ]
Map:: polytopal non-degenerate
	R = (1, 97, 2, 98)(3, 99, 7, 103)(4, 100, 9, 105)(5, 101, 10, 106)(6, 102, 12, 108)(8, 104, 15, 111)(11, 107, 20, 116)(13, 109, 23, 119)(14, 110, 25, 121)(16, 112, 28, 124)(17, 113, 22, 118)(18, 114, 30, 126)(19, 115, 29, 125)(21, 117, 27, 123)(24, 120, 35, 131)(26, 122, 36, 132)(31, 127, 41, 137)(32, 128, 42, 138)(33, 129, 43, 139)(34, 130, 37, 133)(38, 134, 40, 136)(39, 135, 47, 143)(44, 140, 53, 149)(45, 141, 54, 150)(46, 142, 52, 148)(48, 144, 57, 153)(49, 145, 58, 154)(50, 146, 56, 152)(51, 147, 59, 155)(55, 151, 63, 159)(60, 156, 69, 165)(61, 157, 70, 166)(62, 158, 68, 164)(64, 160, 73, 169)(65, 161, 74, 170)(66, 162, 72, 168)(67, 163, 75, 171)(71, 167, 79, 175)(76, 172, 85, 181)(77, 173, 86, 182)(78, 174, 84, 180)(80, 176, 89, 185)(81, 177, 90, 186)(82, 178, 88, 184)(83, 179, 87, 183)(91, 187, 96, 192)(92, 188, 95, 191)(93, 189, 94, 190)(193, 289, 195, 291)(194, 290, 197, 293)(196, 292, 200, 296)(198, 294, 203, 299)(199, 295, 205, 301)(201, 297, 208, 304)(202, 298, 210, 306)(204, 300, 213, 309)(206, 302, 216, 312)(207, 303, 218, 314)(209, 305, 221, 317)(211, 307, 223, 319)(212, 308, 224, 320)(214, 310, 217, 313)(215, 311, 225, 321)(219, 315, 229, 325)(220, 316, 230, 326)(222, 318, 231, 327)(226, 322, 236, 332)(227, 323, 237, 333)(228, 324, 238, 334)(232, 328, 240, 336)(233, 329, 241, 337)(234, 330, 242, 338)(235, 331, 243, 339)(239, 335, 247, 343)(244, 340, 252, 348)(245, 341, 253, 349)(246, 342, 254, 350)(248, 344, 256, 352)(249, 345, 257, 353)(250, 346, 258, 354)(251, 347, 259, 355)(255, 351, 263, 359)(260, 356, 268, 364)(261, 357, 269, 365)(262, 358, 270, 366)(264, 360, 272, 368)(265, 361, 273, 369)(266, 362, 274, 370)(267, 363, 275, 371)(271, 367, 279, 375)(276, 372, 283, 379)(277, 373, 284, 380)(278, 374, 285, 381)(280, 376, 286, 382)(281, 377, 287, 383)(282, 378, 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, 223)(19, 202)(20, 220)(21, 217)(22, 204)(23, 226)(24, 205)(25, 213)(26, 229)(27, 207)(28, 212)(29, 208)(30, 232)(31, 210)(32, 230)(33, 236)(34, 215)(35, 228)(36, 227)(37, 218)(38, 224)(39, 240)(40, 222)(41, 234)(42, 233)(43, 244)(44, 225)(45, 238)(46, 237)(47, 248)(48, 231)(49, 242)(50, 241)(51, 252)(52, 235)(53, 246)(54, 245)(55, 256)(56, 239)(57, 250)(58, 249)(59, 260)(60, 243)(61, 254)(62, 253)(63, 264)(64, 247)(65, 258)(66, 257)(67, 268)(68, 251)(69, 262)(70, 261)(71, 272)(72, 255)(73, 266)(74, 265)(75, 276)(76, 259)(77, 270)(78, 269)(79, 280)(80, 263)(81, 274)(82, 273)(83, 283)(84, 267)(85, 278)(86, 277)(87, 286)(88, 271)(89, 282)(90, 281)(91, 275)(92, 285)(93, 284)(94, 279)(95, 288)(96, 287)(97, 289)(98, 290)(99, 291)(100, 292)(101, 293)(102, 294)(103, 295)(104, 296)(105, 297)(106, 298)(107, 299)(108, 300)(109, 301)(110, 302)(111, 303)(112, 304)(113, 305)(114, 306)(115, 307)(116, 308)(117, 309)(118, 310)(119, 311)(120, 312)(121, 313)(122, 314)(123, 315)(124, 316)(125, 317)(126, 318)(127, 319)(128, 320)(129, 321)(130, 322)(131, 323)(132, 324)(133, 325)(134, 326)(135, 327)(136, 328)(137, 329)(138, 330)(139, 331)(140, 332)(141, 333)(142, 334)(143, 335)(144, 336)(145, 337)(146, 338)(147, 339)(148, 340)(149, 341)(150, 342)(151, 343)(152, 344)(153, 345)(154, 346)(155, 347)(156, 348)(157, 349)(158, 350)(159, 351)(160, 352)(161, 353)(162, 354)(163, 355)(164, 356)(165, 357)(166, 358)(167, 359)(168, 360)(169, 361)(170, 362)(171, 363)(172, 364)(173, 365)(174, 366)(175, 367)(176, 368)(177, 369)(178, 370)(179, 371)(180, 372)(181, 373)(182, 374)(183, 375)(184, 376)(185, 377)(186, 378)(187, 379)(188, 380)(189, 381)(190, 382)(191, 383)(192, 384)
	local type(s) :: { ( 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E13.1419
Graph:: simple bipartite
	v = 96 e = 192 f = 72
	degree seq :: [ 4^96 ]

E13.1416 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 4})
Quotient :: dipole
Aut^+ = (C2 x S4) : C2 (small group id <96, 187>)
Aut   = $<192, 1470>$ (small group id <192, 1470>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, Y3^2, R^2, (R * Y2)^2, (Y3 * Y2)^2, (R * Y3)^2, (R * Y1)^2, (Y1 * Y3)^4, (Y3 * Y1 * Y2 * Y1 * Y2 * Y1)^2, Y1 * Y2 * Y3 * Y1 * Y2 * Y3 * Y1 * Y2 * Y3 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 ]
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, 22, 118)(18, 114, 30, 126)(19, 115, 32, 128)(21, 117, 35, 131)(24, 120, 39, 135)(26, 122, 42, 138)(27, 123, 41, 137)(29, 125, 46, 142)(31, 127, 49, 145)(33, 129, 52, 148)(34, 130, 51, 147)(36, 132, 56, 152)(37, 133, 57, 153)(38, 134, 54, 150)(40, 136, 50, 146)(43, 139, 64, 160)(44, 140, 48, 144)(45, 141, 66, 162)(47, 143, 69, 165)(53, 149, 76, 172)(55, 151, 78, 174)(58, 154, 83, 179)(59, 155, 84, 180)(60, 156, 77, 173)(61, 157, 86, 182)(62, 158, 82, 178)(63, 159, 79, 175)(65, 161, 72, 168)(67, 163, 75, 171)(68, 164, 90, 186)(70, 166, 85, 181)(71, 167, 87, 183)(73, 169, 92, 188)(74, 170, 88, 184)(80, 176, 93, 189)(81, 177, 91, 187)(89, 185, 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, 223, 319)(212, 308, 225, 321)(214, 310, 228, 324)(215, 311, 229, 325)(217, 313, 232, 328)(219, 315, 235, 331)(220, 316, 236, 332)(222, 318, 239, 335)(224, 320, 242, 338)(226, 322, 245, 341)(227, 323, 246, 342)(230, 326, 250, 346)(231, 327, 251, 347)(233, 329, 253, 349)(234, 330, 254, 350)(237, 333, 257, 353)(238, 334, 259, 355)(240, 336, 262, 358)(241, 337, 263, 359)(243, 339, 265, 361)(244, 340, 266, 362)(247, 343, 269, 365)(248, 344, 271, 367)(249, 345, 273, 369)(252, 348, 277, 373)(255, 351, 279, 375)(256, 352, 280, 376)(258, 354, 278, 374)(260, 356, 283, 379)(261, 357, 281, 377)(264, 360, 275, 371)(267, 363, 276, 372)(268, 364, 274, 370)(270, 366, 284, 380)(272, 368, 286, 382)(282, 378, 287, 383)(285, 381, 288, 384)
	L = (1, 196)(2, 198)(3, 200)(4, 193)(5, 203)(6, 194)(7, 206)(8, 195)(9, 209)(10, 211)(11, 197)(12, 214)(13, 216)(14, 199)(15, 219)(16, 221)(17, 201)(18, 223)(19, 202)(20, 226)(21, 228)(22, 204)(23, 230)(24, 205)(25, 233)(26, 235)(27, 207)(28, 237)(29, 208)(30, 240)(31, 210)(32, 243)(33, 245)(34, 212)(35, 247)(36, 213)(37, 250)(38, 215)(39, 252)(40, 253)(41, 217)(42, 255)(43, 218)(44, 257)(45, 220)(46, 260)(47, 262)(48, 222)(49, 264)(50, 265)(51, 224)(52, 267)(53, 225)(54, 269)(55, 227)(56, 272)(57, 274)(58, 229)(59, 277)(60, 231)(61, 232)(62, 279)(63, 234)(64, 281)(65, 236)(66, 282)(67, 283)(68, 238)(69, 280)(70, 239)(71, 275)(72, 241)(73, 242)(74, 276)(75, 244)(76, 273)(77, 246)(78, 285)(79, 286)(80, 248)(81, 268)(82, 249)(83, 263)(84, 266)(85, 251)(86, 287)(87, 254)(88, 261)(89, 256)(90, 258)(91, 259)(92, 288)(93, 270)(94, 271)(95, 278)(96, 284)(97, 289)(98, 290)(99, 291)(100, 292)(101, 293)(102, 294)(103, 295)(104, 296)(105, 297)(106, 298)(107, 299)(108, 300)(109, 301)(110, 302)(111, 303)(112, 304)(113, 305)(114, 306)(115, 307)(116, 308)(117, 309)(118, 310)(119, 311)(120, 312)(121, 313)(122, 314)(123, 315)(124, 316)(125, 317)(126, 318)(127, 319)(128, 320)(129, 321)(130, 322)(131, 323)(132, 324)(133, 325)(134, 326)(135, 327)(136, 328)(137, 329)(138, 330)(139, 331)(140, 332)(141, 333)(142, 334)(143, 335)(144, 336)(145, 337)(146, 338)(147, 339)(148, 340)(149, 341)(150, 342)(151, 343)(152, 344)(153, 345)(154, 346)(155, 347)(156, 348)(157, 349)(158, 350)(159, 351)(160, 352)(161, 353)(162, 354)(163, 355)(164, 356)(165, 357)(166, 358)(167, 359)(168, 360)(169, 361)(170, 362)(171, 363)(172, 364)(173, 365)(174, 366)(175, 367)(176, 368)(177, 369)(178, 370)(179, 371)(180, 372)(181, 373)(182, 374)(183, 375)(184, 376)(185, 377)(186, 378)(187, 379)(188, 380)(189, 381)(190, 382)(191, 383)(192, 384)
	local type(s) :: { ( 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E13.1420
Graph:: simple bipartite
	v = 96 e = 192 f = 72
	degree seq :: [ 4^96 ]

E13.1417 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 4})
Quotient :: dipole
Aut^+ = (C2 x S4) : C2 (small group id <96, 187>)
Aut   = $<192, 1472>$ (small group id <192, 1472>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^3, (Y3^-1 * Y2)^2, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, (Y3^-1 * Y1)^4, Y1 * Y2 * Y1 * Y3 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1, Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y1 * Y2 * Y1 * Y3, Y1 * Y3^-1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y3 * Y1 * Y2 ]
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, 40, 136)(26, 122, 55, 151)(27, 123, 56, 152)(28, 124, 59, 155)(29, 125, 36, 132)(30, 126, 60, 156)(31, 127, 53, 149)(32, 128, 63, 159)(35, 131, 69, 165)(37, 133, 71, 167)(38, 134, 48, 144)(39, 135, 74, 170)(42, 138, 64, 160)(43, 139, 78, 174)(46, 142, 61, 157)(47, 143, 80, 176)(49, 145, 83, 179)(50, 146, 73, 169)(51, 147, 70, 166)(54, 150, 68, 164)(57, 153, 86, 182)(58, 154, 67, 163)(62, 158, 84, 180)(65, 161, 93, 189)(66, 162, 82, 178)(72, 168, 95, 191)(75, 171, 92, 188)(76, 172, 81, 177)(77, 173, 91, 187)(79, 175, 89, 185)(85, 181, 94, 190)(87, 183, 96, 192)(88, 184, 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, 250, 346)(221, 317, 249, 345)(223, 319, 254, 350)(224, 320, 253, 349)(225, 321, 256, 352)(226, 322, 258, 354)(228, 324, 262, 358)(229, 325, 236, 332)(231, 327, 265, 361)(232, 328, 264, 360)(233, 329, 267, 363)(237, 333, 247, 343)(239, 335, 274, 370)(240, 336, 273, 369)(242, 338, 277, 373)(243, 339, 276, 372)(244, 340, 269, 365)(248, 344, 280, 376)(251, 347, 271, 367)(252, 348, 281, 377)(255, 351, 263, 359)(257, 353, 275, 371)(259, 355, 286, 382)(260, 356, 270, 366)(261, 357, 283, 379)(266, 362, 284, 380)(268, 364, 278, 374)(272, 368, 279, 375)(282, 378, 287, 383)(285, 381, 288, 384)
	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, 249)(28, 221)(29, 205)(30, 253)(31, 224)(32, 206)(33, 257)(34, 259)(35, 236)(36, 229)(37, 209)(38, 264)(39, 232)(40, 210)(41, 268)(42, 235)(43, 211)(44, 262)(45, 271)(46, 273)(47, 240)(48, 214)(49, 276)(50, 243)(51, 215)(52, 278)(53, 246)(54, 216)(55, 279)(56, 225)(57, 250)(58, 219)(59, 247)(60, 282)(61, 254)(62, 222)(63, 284)(64, 280)(65, 248)(66, 270)(67, 260)(68, 226)(69, 287)(70, 227)(71, 288)(72, 265)(73, 230)(74, 263)(75, 244)(76, 269)(77, 233)(78, 286)(79, 272)(80, 237)(81, 274)(82, 238)(83, 256)(84, 277)(85, 241)(86, 267)(87, 251)(88, 275)(89, 261)(90, 283)(91, 252)(92, 285)(93, 255)(94, 258)(95, 281)(96, 266)(97, 289)(98, 290)(99, 291)(100, 292)(101, 293)(102, 294)(103, 295)(104, 296)(105, 297)(106, 298)(107, 299)(108, 300)(109, 301)(110, 302)(111, 303)(112, 304)(113, 305)(114, 306)(115, 307)(116, 308)(117, 309)(118, 310)(119, 311)(120, 312)(121, 313)(122, 314)(123, 315)(124, 316)(125, 317)(126, 318)(127, 319)(128, 320)(129, 321)(130, 322)(131, 323)(132, 324)(133, 325)(134, 326)(135, 327)(136, 328)(137, 329)(138, 330)(139, 331)(140, 332)(141, 333)(142, 334)(143, 335)(144, 336)(145, 337)(146, 338)(147, 339)(148, 340)(149, 341)(150, 342)(151, 343)(152, 344)(153, 345)(154, 346)(155, 347)(156, 348)(157, 349)(158, 350)(159, 351)(160, 352)(161, 353)(162, 354)(163, 355)(164, 356)(165, 357)(166, 358)(167, 359)(168, 360)(169, 361)(170, 362)(171, 363)(172, 364)(173, 365)(174, 366)(175, 367)(176, 368)(177, 369)(178, 370)(179, 371)(180, 372)(181, 373)(182, 374)(183, 375)(184, 376)(185, 377)(186, 378)(187, 379)(188, 380)(189, 381)(190, 382)(191, 383)(192, 384)
	local type(s) :: { ( 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E13.1421
Graph:: simple bipartite
	v = 96 e = 192 f = 72
	degree seq :: [ 4^96 ]

E13.1418 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 4})
Quotient :: dipole
Aut^+ = (C2 x S4) : C2 (small group id <96, 187>)
Aut   = $<192, 1472>$ (small group id <192, 1472>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^4, (Y3 * Y2)^2, (R * Y3)^2, (R * Y1)^2, (Y3^2 * Y1)^2, (R * Y2 * Y3^-1)^2, (Y1 * Y3^-1)^4, Y2 * Y1 * Y3 * Y2 * Y1 * Y2 * Y3^-1 * Y1 * Y3^-1, (Y2 * Y1 * Y3^-1)^3, (Y2 * Y1 * Y3 * Y1 * Y2 * Y1)^2, Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y3^-2 ]
Map:: polytopal non-degenerate
	R = (1, 97, 2, 98)(3, 99, 9, 105)(4, 100, 12, 108)(5, 101, 14, 110)(6, 102, 15, 111)(7, 103, 18, 114)(8, 104, 20, 116)(10, 106, 24, 120)(11, 107, 26, 122)(13, 109, 19, 115)(16, 112, 34, 130)(17, 113, 36, 132)(21, 117, 41, 137)(22, 118, 44, 140)(23, 119, 46, 142)(25, 121, 45, 141)(27, 123, 51, 147)(28, 124, 38, 134)(29, 125, 39, 135)(30, 126, 54, 150)(31, 127, 55, 151)(32, 128, 58, 154)(33, 129, 60, 156)(35, 131, 59, 155)(37, 133, 61, 157)(40, 136, 64, 160)(42, 138, 52, 148)(43, 139, 53, 149)(47, 143, 73, 169)(48, 144, 70, 166)(49, 145, 71, 167)(50, 146, 74, 170)(56, 152, 62, 158)(57, 153, 63, 159)(65, 161, 85, 181)(66, 162, 76, 172)(67, 163, 77, 173)(68, 164, 88, 184)(69, 165, 84, 180)(72, 168, 83, 179)(75, 171, 81, 177)(78, 174, 80, 176)(79, 175, 93, 189)(82, 178, 96, 192)(86, 182, 89, 185)(87, 183, 90, 186)(91, 187, 94, 190)(92, 188, 95, 191)(193, 289, 195, 291)(194, 290, 198, 294)(196, 292, 203, 299)(197, 293, 202, 298)(199, 295, 209, 305)(200, 296, 208, 304)(201, 297, 213, 309)(204, 300, 219, 315)(205, 301, 217, 313)(206, 302, 222, 318)(207, 303, 223, 319)(210, 306, 229, 325)(211, 307, 227, 323)(212, 308, 232, 328)(214, 310, 235, 331)(215, 311, 234, 330)(216, 312, 239, 335)(218, 314, 242, 338)(220, 316, 245, 341)(221, 317, 244, 340)(224, 320, 249, 345)(225, 321, 248, 344)(226, 322, 241, 337)(228, 324, 240, 336)(230, 326, 255, 351)(231, 327, 254, 350)(233, 329, 257, 353)(236, 332, 261, 357)(237, 333, 260, 356)(238, 334, 264, 360)(243, 339, 267, 363)(246, 342, 270, 366)(247, 343, 271, 367)(250, 346, 275, 371)(251, 347, 274, 370)(252, 348, 276, 372)(253, 349, 269, 365)(256, 352, 268, 364)(258, 354, 279, 375)(259, 355, 278, 374)(262, 358, 282, 378)(263, 359, 281, 377)(265, 361, 283, 379)(266, 362, 284, 380)(272, 368, 287, 383)(273, 369, 286, 382)(277, 373, 288, 384)(280, 376, 285, 381)
	L = (1, 196)(2, 199)(3, 202)(4, 205)(5, 193)(6, 208)(7, 211)(8, 194)(9, 214)(10, 217)(11, 195)(12, 220)(13, 197)(14, 221)(15, 224)(16, 227)(17, 198)(18, 230)(19, 200)(20, 231)(21, 234)(22, 237)(23, 201)(24, 240)(25, 203)(26, 241)(27, 244)(28, 206)(29, 204)(30, 245)(31, 248)(32, 251)(33, 207)(34, 242)(35, 209)(36, 239)(37, 254)(38, 212)(39, 210)(40, 255)(41, 258)(42, 260)(43, 213)(44, 262)(45, 215)(46, 263)(47, 226)(48, 218)(49, 216)(50, 228)(51, 268)(52, 222)(53, 219)(54, 269)(55, 272)(56, 274)(57, 223)(58, 266)(59, 225)(60, 265)(61, 270)(62, 232)(63, 229)(64, 267)(65, 278)(66, 280)(67, 233)(68, 235)(69, 281)(70, 238)(71, 236)(72, 282)(73, 250)(74, 252)(75, 253)(76, 246)(77, 243)(78, 256)(79, 286)(80, 288)(81, 247)(82, 249)(83, 283)(84, 284)(85, 287)(86, 285)(87, 257)(88, 259)(89, 264)(90, 261)(91, 276)(92, 275)(93, 279)(94, 277)(95, 271)(96, 273)(97, 289)(98, 290)(99, 291)(100, 292)(101, 293)(102, 294)(103, 295)(104, 296)(105, 297)(106, 298)(107, 299)(108, 300)(109, 301)(110, 302)(111, 303)(112, 304)(113, 305)(114, 306)(115, 307)(116, 308)(117, 309)(118, 310)(119, 311)(120, 312)(121, 313)(122, 314)(123, 315)(124, 316)(125, 317)(126, 318)(127, 319)(128, 320)(129, 321)(130, 322)(131, 323)(132, 324)(133, 325)(134, 326)(135, 327)(136, 328)(137, 329)(138, 330)(139, 331)(140, 332)(141, 333)(142, 334)(143, 335)(144, 336)(145, 337)(146, 338)(147, 339)(148, 340)(149, 341)(150, 342)(151, 343)(152, 344)(153, 345)(154, 346)(155, 347)(156, 348)(157, 349)(158, 350)(159, 351)(160, 352)(161, 353)(162, 354)(163, 355)(164, 356)(165, 357)(166, 358)(167, 359)(168, 360)(169, 361)(170, 362)(171, 363)(172, 364)(173, 365)(174, 366)(175, 367)(176, 368)(177, 369)(178, 370)(179, 371)(180, 372)(181, 373)(182, 374)(183, 375)(184, 376)(185, 377)(186, 378)(187, 379)(188, 380)(189, 381)(190, 382)(191, 383)(192, 384)
	local type(s) :: { ( 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E13.1422
Graph:: simple bipartite
	v = 96 e = 192 f = 72
	degree seq :: [ 4^96 ]

E13.1419 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 4})
Quotient :: dipole
Aut^+ = (C2 x S4) : C2 (small group id <96, 187>)
Aut   = $<192, 1470>$ (small group id <192, 1470>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, (Y1^-1 * Y3)^2, Y1^4, (R * Y2)^2, (R * Y3)^2, (Y3 * Y2)^2, (R * Y1)^2, Y1^2 * Y2 * Y1^-2 * Y2 * Y3, 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 ]
Map:: polytopal non-degenerate
	R = (1, 97, 2, 98, 6, 102, 5, 101)(3, 99, 9, 105, 19, 115, 11, 107)(4, 100, 12, 108, 15, 111, 8, 104)(7, 103, 16, 112, 24, 120, 18, 114)(10, 106, 22, 118, 14, 110, 21, 117)(13, 109, 25, 121, 17, 113, 26, 122)(20, 116, 29, 125, 32, 128, 31, 127)(23, 119, 33, 129, 30, 126, 34, 130)(27, 123, 37, 133, 36, 132, 38, 134)(28, 124, 39, 135, 35, 131, 40, 136)(41, 137, 49, 145, 44, 140, 50, 146)(42, 138, 51, 147, 43, 139, 52, 148)(45, 141, 53, 149, 48, 144, 54, 150)(46, 142, 55, 151, 47, 143, 56, 152)(57, 153, 65, 161, 60, 156, 66, 162)(58, 154, 67, 163, 59, 155, 68, 164)(61, 157, 69, 165, 64, 160, 70, 166)(62, 158, 71, 167, 63, 159, 72, 168)(73, 169, 81, 177, 76, 172, 82, 178)(74, 170, 83, 179, 75, 171, 84, 180)(77, 173, 85, 181, 80, 176, 86, 182)(78, 174, 87, 183, 79, 175, 88, 184)(89, 185, 93, 189, 92, 188, 96, 192)(90, 186, 95, 191, 91, 187, 94, 190)(193, 289, 195, 291)(194, 290, 199, 295)(196, 292, 202, 298)(197, 293, 205, 301)(198, 294, 206, 302)(200, 296, 209, 305)(201, 297, 212, 308)(203, 299, 215, 311)(204, 300, 216, 312)(207, 303, 211, 307)(208, 304, 219, 315)(210, 306, 220, 316)(213, 309, 222, 318)(214, 310, 224, 320)(217, 313, 227, 323)(218, 314, 228, 324)(221, 317, 233, 329)(223, 319, 234, 330)(225, 321, 235, 331)(226, 322, 236, 332)(229, 325, 237, 333)(230, 326, 238, 334)(231, 327, 239, 335)(232, 328, 240, 336)(241, 337, 249, 345)(242, 338, 250, 346)(243, 339, 251, 347)(244, 340, 252, 348)(245, 341, 253, 349)(246, 342, 254, 350)(247, 343, 255, 351)(248, 344, 256, 352)(257, 353, 265, 361)(258, 354, 266, 362)(259, 355, 267, 363)(260, 356, 268, 364)(261, 357, 269, 365)(262, 358, 270, 366)(263, 359, 271, 367)(264, 360, 272, 368)(273, 369, 281, 377)(274, 370, 282, 378)(275, 371, 283, 379)(276, 372, 284, 380)(277, 373, 285, 381)(278, 374, 286, 382)(279, 375, 287, 383)(280, 376, 288, 384)
	L = (1, 196)(2, 200)(3, 202)(4, 193)(5, 204)(6, 207)(7, 209)(8, 194)(9, 213)(10, 195)(11, 214)(12, 197)(13, 216)(14, 211)(15, 198)(16, 217)(17, 199)(18, 218)(19, 206)(20, 222)(21, 201)(22, 203)(23, 224)(24, 205)(25, 208)(26, 210)(27, 227)(28, 228)(29, 225)(30, 212)(31, 226)(32, 215)(33, 221)(34, 223)(35, 219)(36, 220)(37, 231)(38, 232)(39, 229)(40, 230)(41, 235)(42, 236)(43, 233)(44, 234)(45, 239)(46, 240)(47, 237)(48, 238)(49, 243)(50, 244)(51, 241)(52, 242)(53, 247)(54, 248)(55, 245)(56, 246)(57, 251)(58, 252)(59, 249)(60, 250)(61, 255)(62, 256)(63, 253)(64, 254)(65, 259)(66, 260)(67, 257)(68, 258)(69, 263)(70, 264)(71, 261)(72, 262)(73, 267)(74, 268)(75, 265)(76, 266)(77, 271)(78, 272)(79, 269)(80, 270)(81, 275)(82, 276)(83, 273)(84, 274)(85, 279)(86, 280)(87, 277)(88, 278)(89, 283)(90, 284)(91, 281)(92, 282)(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) :: { ( 4^4 ), ( 4^8 ) }
Outer automorphisms :: reflexible
Dual of E13.1415
Graph:: simple bipartite
	v = 72 e = 192 f = 96
	degree seq :: [ 4^48, 8^24 ]

E13.1420 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 4})
Quotient :: dipole
Aut^+ = (C2 x S4) : C2 (small group id <96, 187>)
Aut   = $<192, 1470>$ (small group id <192, 1470>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, (R * Y2)^2, (Y3 * Y1^-1)^2, (R * Y3)^2, (R * Y1)^2, (Y3 * Y2)^2, Y1^4, (Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1)^2, Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1 * Y2 * Y3 * Y1 * Y2 * Y1^-1 * Y2 ]
Map:: polytopal non-degenerate
	R = (1, 97, 2, 98, 6, 102, 5, 101)(3, 99, 9, 105, 19, 115, 11, 107)(4, 100, 12, 108, 15, 111, 8, 104)(7, 103, 16, 112, 30, 126, 18, 114)(10, 106, 22, 118, 36, 132, 21, 117)(13, 109, 25, 121, 45, 141, 26, 122)(14, 110, 27, 123, 48, 144, 29, 125)(17, 113, 33, 129, 54, 150, 32, 128)(20, 116, 37, 133, 52, 148, 39, 135)(23, 119, 41, 137, 49, 145, 42, 138)(24, 120, 43, 139, 71, 167, 44, 140)(28, 124, 51, 147, 75, 171, 50, 146)(31, 127, 55, 151, 47, 143, 57, 153)(34, 130, 59, 155, 46, 142, 60, 156)(35, 131, 61, 157, 74, 170, 53, 149)(38, 134, 65, 161, 77, 173, 64, 160)(40, 136, 67, 163, 76, 172, 68, 164)(56, 152, 81, 177, 72, 168, 80, 176)(58, 154, 83, 179, 73, 169, 84, 180)(62, 158, 78, 174, 96, 192, 87, 183)(63, 159, 88, 184, 70, 166, 90, 186)(66, 162, 92, 188, 69, 165, 93, 189)(79, 175, 91, 187, 86, 182, 95, 191)(82, 178, 94, 190, 85, 181, 89, 185)(193, 289, 195, 291)(194, 290, 199, 295)(196, 292, 202, 298)(197, 293, 205, 301)(198, 294, 206, 302)(200, 296, 209, 305)(201, 297, 212, 308)(203, 299, 215, 311)(204, 300, 216, 312)(207, 303, 220, 316)(208, 304, 223, 319)(210, 306, 226, 322)(211, 307, 227, 323)(213, 309, 230, 326)(214, 310, 232, 328)(217, 313, 238, 334)(218, 314, 239, 335)(219, 315, 241, 337)(221, 317, 244, 340)(222, 318, 245, 341)(224, 320, 248, 344)(225, 321, 250, 346)(228, 324, 254, 350)(229, 325, 255, 351)(231, 327, 258, 354)(233, 329, 261, 357)(234, 330, 262, 358)(235, 331, 264, 360)(236, 332, 265, 361)(237, 333, 253, 349)(240, 336, 266, 362)(242, 338, 268, 364)(243, 339, 269, 365)(246, 342, 270, 366)(247, 343, 271, 367)(249, 345, 274, 370)(251, 347, 277, 373)(252, 348, 278, 374)(256, 352, 281, 377)(257, 353, 283, 379)(259, 355, 286, 382)(260, 356, 287, 383)(263, 359, 279, 375)(267, 363, 288, 384)(272, 368, 284, 380)(273, 369, 282, 378)(275, 371, 285, 381)(276, 372, 280, 376)
	L = (1, 196)(2, 200)(3, 202)(4, 193)(5, 204)(6, 207)(7, 209)(8, 194)(9, 213)(10, 195)(11, 214)(12, 197)(13, 216)(14, 220)(15, 198)(16, 224)(17, 199)(18, 225)(19, 228)(20, 230)(21, 201)(22, 203)(23, 232)(24, 205)(25, 236)(26, 235)(27, 242)(28, 206)(29, 243)(30, 246)(31, 248)(32, 208)(33, 210)(34, 250)(35, 254)(36, 211)(37, 256)(38, 212)(39, 257)(40, 215)(41, 260)(42, 259)(43, 218)(44, 217)(45, 263)(46, 265)(47, 264)(48, 267)(49, 268)(50, 219)(51, 221)(52, 269)(53, 270)(54, 222)(55, 272)(56, 223)(57, 273)(58, 226)(59, 276)(60, 275)(61, 279)(62, 227)(63, 281)(64, 229)(65, 231)(66, 283)(67, 234)(68, 233)(69, 287)(70, 286)(71, 237)(72, 239)(73, 238)(74, 288)(75, 240)(76, 241)(77, 244)(78, 245)(79, 284)(80, 247)(81, 249)(82, 282)(83, 252)(84, 251)(85, 280)(86, 285)(87, 253)(88, 277)(89, 255)(90, 274)(91, 258)(92, 271)(93, 278)(94, 262)(95, 261)(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) :: { ( 4^4 ), ( 4^8 ) }
Outer automorphisms :: reflexible
Dual of E13.1416
Graph:: simple bipartite
	v = 72 e = 192 f = 96
	degree seq :: [ 4^48, 8^24 ]

E13.1421 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 4})
Quotient :: dipole
Aut^+ = (C2 x S4) : C2 (small group id <96, 187>)
Aut   = $<192, 1472>$ (small group id <192, 1472>)
|r| :: 2
Presentation :: [ Y2^2, R^2, Y3^3, (Y1^-1 * Y3^-1)^2, (R * Y3)^2, (R * Y1)^2, (Y3 * Y2)^2, Y1^4, (R * Y2 * Y3^-1)^2, Y1 * Y2 * Y3 * Y2 * Y3^-1 * Y1 * Y3, Y3 * Y1^-1 * Y2 * Y1^-2 * Y3^-1 * Y2 * Y1^-1, Y2 * Y1 * Y2 * Y1 * Y3 * Y2 * Y1 * Y2 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 97, 2, 98, 7, 103, 5, 101)(3, 99, 11, 107, 29, 125, 13, 109)(4, 100, 15, 111, 38, 134, 16, 112)(6, 102, 19, 115, 27, 123, 9, 105)(8, 104, 23, 119, 53, 149, 25, 121)(10, 106, 28, 124, 51, 147, 21, 117)(12, 108, 33, 129, 69, 165, 34, 130)(14, 110, 37, 133, 50, 146, 31, 127)(17, 113, 42, 138, 79, 175, 43, 139)(18, 114, 22, 118, 52, 148, 45, 141)(20, 116, 47, 143, 83, 179, 49, 145)(24, 120, 57, 153, 40, 136, 58, 154)(26, 122, 61, 157, 44, 140, 55, 151)(30, 126, 65, 161, 86, 182, 67, 163)(32, 128, 48, 144, 85, 181, 62, 158)(35, 131, 72, 168, 84, 180, 73, 169)(36, 132, 64, 160, 87, 183, 75, 171)(39, 135, 78, 174, 88, 184, 56, 152)(41, 137, 77, 173, 89, 185, 63, 159)(46, 142, 60, 156, 90, 186, 82, 178)(54, 150, 91, 187, 81, 177, 76, 172)(59, 155, 68, 164, 80, 176, 74, 170)(66, 162, 92, 188, 71, 167, 94, 190)(70, 166, 95, 191, 96, 192, 93, 189)(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, 218, 314)(202, 298, 216, 312)(203, 299, 222, 318)(205, 301, 227, 323)(207, 303, 231, 327)(208, 304, 232, 328)(210, 306, 236, 332)(211, 307, 238, 334)(213, 309, 242, 338)(214, 310, 240, 336)(215, 311, 246, 342)(217, 313, 251, 347)(219, 315, 254, 350)(220, 316, 256, 352)(221, 317, 255, 351)(223, 319, 260, 356)(224, 320, 258, 354)(225, 321, 262, 358)(226, 322, 263, 359)(228, 324, 266, 362)(229, 325, 268, 364)(230, 326, 267, 363)(233, 329, 271, 367)(234, 330, 272, 368)(235, 331, 273, 369)(237, 333, 261, 357)(239, 335, 276, 372)(241, 337, 278, 374)(243, 339, 280, 376)(244, 340, 282, 378)(245, 341, 281, 377)(247, 343, 259, 355)(248, 344, 284, 380)(249, 345, 285, 381)(250, 346, 286, 382)(252, 348, 257, 353)(253, 349, 264, 360)(265, 361, 274, 370)(269, 365, 275, 371)(270, 366, 287, 383)(277, 373, 288, 384)(279, 375, 283, 379)
	L = (1, 196)(2, 201)(3, 204)(4, 198)(5, 210)(6, 193)(7, 213)(8, 216)(9, 202)(10, 194)(11, 223)(12, 206)(13, 228)(14, 195)(15, 197)(16, 233)(17, 231)(18, 207)(19, 208)(20, 240)(21, 214)(22, 199)(23, 247)(24, 218)(25, 252)(26, 200)(27, 255)(28, 219)(29, 254)(30, 258)(31, 224)(32, 203)(33, 205)(34, 239)(35, 262)(36, 225)(37, 226)(38, 237)(39, 236)(40, 238)(41, 211)(42, 253)(43, 274)(44, 209)(45, 269)(46, 271)(47, 229)(48, 242)(49, 279)(50, 212)(51, 281)(52, 243)(53, 280)(54, 284)(55, 248)(56, 215)(57, 217)(58, 234)(59, 285)(60, 249)(61, 250)(62, 256)(63, 220)(64, 221)(65, 251)(66, 260)(67, 246)(68, 222)(69, 267)(70, 266)(71, 268)(72, 272)(73, 273)(74, 227)(75, 275)(76, 276)(77, 230)(78, 235)(79, 232)(80, 286)(81, 287)(82, 270)(83, 261)(84, 263)(85, 241)(86, 288)(87, 277)(88, 282)(89, 244)(90, 245)(91, 278)(92, 259)(93, 257)(94, 264)(95, 265)(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 ), ( 4^8 ) }
Outer automorphisms :: reflexible
Dual of E13.1417
Graph:: simple bipartite
	v = 72 e = 192 f = 96
	degree seq :: [ 4^48, 8^24 ]

E13.1422 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 4})
Quotient :: dipole
Aut^+ = (C2 x S4) : C2 (small group id <96, 187>)
Aut   = $<192, 1472>$ (small group id <192, 1472>)
|r| :: 2
Presentation :: [ Y2^2, R^2, (R * Y3)^2, (Y3 * Y2)^2, (R * Y1)^2, (Y3 * Y1^-1)^2, (Y1 * Y3)^2, Y1^4, Y3^4, (R * Y2 * Y3^-1)^2, Y2 * Y1 * Y3 * Y2 * Y1 * Y2 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 97, 2, 98, 7, 103, 5, 101)(3, 99, 11, 107, 27, 123, 13, 109)(4, 100, 15, 111, 20, 116, 10, 106)(6, 102, 18, 114, 21, 117, 9, 105)(8, 104, 22, 118, 45, 141, 24, 120)(12, 108, 31, 127, 52, 148, 30, 126)(14, 110, 34, 130, 53, 149, 29, 125)(16, 112, 26, 122, 44, 140, 36, 132)(17, 113, 37, 133, 63, 159, 38, 134)(19, 115, 40, 136, 66, 162, 42, 138)(23, 119, 49, 145, 71, 167, 48, 144)(25, 121, 28, 124, 54, 150, 47, 143)(32, 128, 56, 152, 78, 174, 58, 154)(33, 129, 39, 135, 65, 161, 59, 155)(35, 131, 60, 156, 83, 179, 62, 158)(41, 137, 68, 164, 87, 183, 67, 163)(43, 139, 46, 142, 72, 168, 64, 160)(50, 146, 74, 170, 80, 176, 55, 151)(51, 147, 75, 171, 86, 182, 70, 166)(57, 153, 81, 177, 85, 181, 61, 157)(69, 165, 84, 180, 90, 186, 73, 169)(76, 172, 88, 184, 89, 185, 91, 187)(77, 173, 79, 175, 93, 189, 82, 178)(92, 188, 95, 191, 96, 192, 94, 190)(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, 217, 313)(202, 298, 215, 311)(203, 299, 220, 316)(205, 301, 225, 321)(207, 303, 227, 323)(208, 304, 224, 320)(210, 306, 231, 327)(212, 308, 235, 331)(213, 309, 233, 329)(214, 310, 238, 334)(216, 312, 221, 317)(218, 314, 242, 338)(219, 315, 243, 339)(222, 318, 247, 343)(223, 319, 249, 345)(226, 322, 229, 325)(228, 324, 253, 349)(230, 326, 256, 352)(232, 328, 257, 353)(234, 330, 239, 335)(236, 332, 261, 357)(237, 333, 262, 358)(240, 336, 265, 361)(241, 337, 248, 344)(244, 340, 269, 365)(245, 341, 268, 364)(246, 342, 271, 367)(250, 346, 254, 350)(251, 347, 274, 370)(252, 348, 276, 372)(255, 351, 267, 363)(258, 354, 278, 374)(259, 355, 277, 373)(260, 356, 266, 362)(263, 359, 280, 376)(264, 360, 281, 377)(270, 366, 284, 380)(272, 368, 286, 382)(273, 369, 287, 383)(275, 371, 283, 379)(279, 375, 285, 381)(282, 378, 288, 384)
	L = (1, 196)(2, 201)(3, 204)(4, 208)(5, 210)(6, 193)(7, 212)(8, 215)(9, 218)(10, 194)(11, 221)(12, 224)(13, 226)(14, 195)(15, 197)(16, 198)(17, 227)(18, 228)(19, 233)(20, 236)(21, 199)(22, 239)(23, 242)(24, 220)(25, 200)(26, 202)(27, 244)(28, 247)(29, 248)(30, 203)(31, 205)(32, 206)(33, 249)(34, 250)(35, 253)(36, 207)(37, 225)(38, 257)(39, 209)(40, 256)(41, 261)(42, 238)(43, 211)(44, 213)(45, 263)(46, 265)(47, 266)(48, 214)(49, 216)(50, 217)(51, 268)(52, 270)(53, 219)(54, 237)(55, 241)(56, 222)(57, 254)(58, 223)(59, 255)(60, 230)(61, 231)(62, 229)(63, 275)(64, 276)(65, 277)(66, 279)(67, 232)(68, 234)(69, 235)(70, 271)(71, 272)(72, 258)(73, 260)(74, 240)(75, 274)(76, 284)(77, 243)(78, 245)(79, 286)(80, 246)(81, 251)(82, 287)(83, 273)(84, 259)(85, 252)(86, 281)(87, 282)(88, 262)(89, 288)(90, 264)(91, 267)(92, 269)(93, 278)(94, 280)(95, 283)(96, 285)(97, 289)(98, 290)(99, 291)(100, 292)(101, 293)(102, 294)(103, 295)(104, 296)(105, 297)(106, 298)(107, 299)(108, 300)(109, 301)(110, 302)(111, 303)(112, 304)(113, 305)(114, 306)(115, 307)(116, 308)(117, 309)(118, 310)(119, 311)(120, 312)(121, 313)(122, 314)(123, 315)(124, 316)(125, 317)(126, 318)(127, 319)(128, 320)(129, 321)(130, 322)(131, 323)(132, 324)(133, 325)(134, 326)(135, 327)(136, 328)(137, 329)(138, 330)(139, 331)(140, 332)(141, 333)(142, 334)(143, 335)(144, 336)(145, 337)(146, 338)(147, 339)(148, 340)(149, 341)(150, 342)(151, 343)(152, 344)(153, 345)(154, 346)(155, 347)(156, 348)(157, 349)(158, 350)(159, 351)(160, 352)(161, 353)(162, 354)(163, 355)(164, 356)(165, 357)(166, 358)(167, 359)(168, 360)(169, 361)(170, 362)(171, 363)(172, 364)(173, 365)(174, 366)(175, 367)(176, 368)(177, 369)(178, 370)(179, 371)(180, 372)(181, 373)(182, 374)(183, 375)(184, 376)(185, 377)(186, 378)(187, 379)(188, 380)(189, 381)(190, 382)(191, 383)(192, 384)
	local type(s) :: { ( 4^4 ), ( 4^8 ) }
Outer automorphisms :: reflexible
Dual of E13.1418
Graph:: simple bipartite
	v = 72 e = 192 f = 96
	degree seq :: [ 4^48, 8^24 ]

E13.1423 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 4})
Quotient :: dipole
Aut^+ = C2 x C2 x S4 (small group id <96, 226>)
Aut   = $<192, 1537>$ (small group id <192, 1537>)
|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)^4, (Y2 * Y1 * Y3 * Y1 * Y2 * Y1)^2, (Y2 * Y1)^6, (Y2 * Y1 * Y3 * Y2 * Y1 * Y3 * Y2 * Y1)^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, 22, 118)(18, 114, 30, 126)(19, 115, 32, 128)(21, 117, 35, 131)(24, 120, 39, 135)(26, 122, 42, 138)(27, 123, 41, 137)(29, 125, 46, 142)(31, 127, 49, 145)(33, 129, 52, 148)(34, 130, 51, 147)(36, 132, 56, 152)(37, 133, 47, 143)(38, 134, 54, 150)(40, 136, 50, 146)(43, 139, 63, 159)(44, 140, 48, 144)(45, 141, 65, 161)(53, 149, 74, 170)(55, 151, 76, 172)(57, 153, 72, 168)(58, 154, 69, 165)(59, 155, 75, 171)(60, 156, 80, 176)(61, 157, 68, 164)(62, 158, 77, 173)(64, 160, 70, 166)(66, 162, 73, 169)(67, 163, 84, 180)(71, 167, 87, 183)(78, 174, 91, 187)(79, 175, 89, 185)(81, 177, 88, 184)(82, 178, 86, 182)(83, 179, 92, 188)(85, 181, 90, 186)(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, 223, 319)(212, 308, 225, 321)(214, 310, 228, 324)(215, 311, 229, 325)(217, 313, 232, 328)(219, 315, 235, 331)(220, 316, 236, 332)(222, 318, 239, 335)(224, 320, 242, 338)(226, 322, 245, 341)(227, 323, 246, 342)(230, 326, 249, 345)(231, 327, 250, 346)(233, 329, 252, 348)(234, 330, 253, 349)(237, 333, 256, 352)(238, 334, 258, 354)(240, 336, 260, 356)(241, 337, 261, 357)(243, 339, 263, 359)(244, 340, 264, 360)(247, 343, 267, 363)(248, 344, 269, 365)(251, 347, 271, 367)(254, 350, 273, 369)(255, 351, 274, 370)(257, 353, 272, 368)(259, 355, 277, 373)(262, 358, 278, 374)(265, 361, 280, 376)(266, 362, 281, 377)(268, 364, 279, 375)(270, 366, 284, 380)(275, 371, 286, 382)(276, 372, 285, 381)(282, 378, 288, 384)(283, 379, 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, 223)(19, 202)(20, 226)(21, 228)(22, 204)(23, 230)(24, 205)(25, 233)(26, 235)(27, 207)(28, 237)(29, 208)(30, 240)(31, 210)(32, 243)(33, 245)(34, 212)(35, 247)(36, 213)(37, 249)(38, 215)(39, 251)(40, 252)(41, 217)(42, 254)(43, 218)(44, 256)(45, 220)(46, 259)(47, 260)(48, 222)(49, 262)(50, 263)(51, 224)(52, 265)(53, 225)(54, 267)(55, 227)(56, 270)(57, 229)(58, 271)(59, 231)(60, 232)(61, 273)(62, 234)(63, 275)(64, 236)(65, 276)(66, 277)(67, 238)(68, 239)(69, 278)(70, 241)(71, 242)(72, 280)(73, 244)(74, 282)(75, 246)(76, 283)(77, 284)(78, 248)(79, 250)(80, 285)(81, 253)(82, 286)(83, 255)(84, 257)(85, 258)(86, 261)(87, 287)(88, 264)(89, 288)(90, 266)(91, 268)(92, 269)(93, 272)(94, 274)(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, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E13.1424
Graph:: simple bipartite
	v = 96 e = 192 f = 72
	degree seq :: [ 4^96 ]

E13.1424 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 4})
Quotient :: dipole
Aut^+ = C2 x C2 x S4 (small group id <96, 226>)
Aut   = $<192, 1537>$ (small group id <192, 1537>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, (R * Y2)^2, (Y3 * Y1^-1)^2, (R * Y3)^2, (R * Y1)^2, (Y3 * Y2)^2, Y1^4, (Y1 * Y2 * Y1 * Y2 * Y1)^2, (Y2 * Y1^-1)^6, (Y2 * Y1 * Y2 * Y1^-1)^3 ]
Map:: polytopal non-degenerate
	R = (1, 97, 2, 98, 6, 102, 5, 101)(3, 99, 9, 105, 19, 115, 11, 107)(4, 100, 12, 108, 15, 111, 8, 104)(7, 103, 16, 112, 30, 126, 18, 114)(10, 106, 22, 118, 36, 132, 21, 117)(13, 109, 25, 121, 45, 141, 26, 122)(14, 110, 27, 123, 48, 144, 29, 125)(17, 113, 33, 129, 54, 150, 32, 128)(20, 116, 37, 133, 52, 148, 39, 135)(23, 119, 41, 137, 49, 145, 42, 138)(24, 120, 43, 139, 71, 167, 44, 140)(28, 124, 51, 147, 75, 171, 50, 146)(31, 127, 55, 151, 47, 143, 57, 153)(34, 130, 59, 155, 46, 142, 60, 156)(35, 131, 61, 157, 74, 170, 53, 149)(38, 134, 65, 161, 77, 173, 64, 160)(40, 136, 67, 163, 76, 172, 68, 164)(56, 152, 81, 177, 72, 168, 80, 176)(58, 154, 83, 179, 73, 169, 84, 180)(62, 158, 78, 174, 92, 188, 87, 183)(63, 159, 79, 175, 70, 166, 86, 182)(66, 162, 85, 181, 69, 165, 82, 178)(88, 184, 95, 191, 90, 186, 93, 189)(89, 185, 94, 190, 91, 187, 96, 192)(193, 289, 195, 291)(194, 290, 199, 295)(196, 292, 202, 298)(197, 293, 205, 301)(198, 294, 206, 302)(200, 296, 209, 305)(201, 297, 212, 308)(203, 299, 215, 311)(204, 300, 216, 312)(207, 303, 220, 316)(208, 304, 223, 319)(210, 306, 226, 322)(211, 307, 227, 323)(213, 309, 230, 326)(214, 310, 232, 328)(217, 313, 238, 334)(218, 314, 239, 335)(219, 315, 241, 337)(221, 317, 244, 340)(222, 318, 245, 341)(224, 320, 248, 344)(225, 321, 250, 346)(228, 324, 254, 350)(229, 325, 255, 351)(231, 327, 258, 354)(233, 329, 261, 357)(234, 330, 262, 358)(235, 331, 264, 360)(236, 332, 265, 361)(237, 333, 253, 349)(240, 336, 266, 362)(242, 338, 268, 364)(243, 339, 269, 365)(246, 342, 270, 366)(247, 343, 271, 367)(249, 345, 274, 370)(251, 347, 277, 373)(252, 348, 278, 374)(256, 352, 280, 376)(257, 353, 281, 377)(259, 355, 282, 378)(260, 356, 283, 379)(263, 359, 279, 375)(267, 363, 284, 380)(272, 368, 285, 381)(273, 369, 286, 382)(275, 371, 287, 383)(276, 372, 288, 384)
	L = (1, 196)(2, 200)(3, 202)(4, 193)(5, 204)(6, 207)(7, 209)(8, 194)(9, 213)(10, 195)(11, 214)(12, 197)(13, 216)(14, 220)(15, 198)(16, 224)(17, 199)(18, 225)(19, 228)(20, 230)(21, 201)(22, 203)(23, 232)(24, 205)(25, 236)(26, 235)(27, 242)(28, 206)(29, 243)(30, 246)(31, 248)(32, 208)(33, 210)(34, 250)(35, 254)(36, 211)(37, 256)(38, 212)(39, 257)(40, 215)(41, 260)(42, 259)(43, 218)(44, 217)(45, 263)(46, 265)(47, 264)(48, 267)(49, 268)(50, 219)(51, 221)(52, 269)(53, 270)(54, 222)(55, 272)(56, 223)(57, 273)(58, 226)(59, 276)(60, 275)(61, 279)(62, 227)(63, 280)(64, 229)(65, 231)(66, 281)(67, 234)(68, 233)(69, 283)(70, 282)(71, 237)(72, 239)(73, 238)(74, 284)(75, 240)(76, 241)(77, 244)(78, 245)(79, 285)(80, 247)(81, 249)(82, 286)(83, 252)(84, 251)(85, 288)(86, 287)(87, 253)(88, 255)(89, 258)(90, 262)(91, 261)(92, 266)(93, 271)(94, 274)(95, 278)(96, 277)(97, 289)(98, 290)(99, 291)(100, 292)(101, 293)(102, 294)(103, 295)(104, 296)(105, 297)(106, 298)(107, 299)(108, 300)(109, 301)(110, 302)(111, 303)(112, 304)(113, 305)(114, 306)(115, 307)(116, 308)(117, 309)(118, 310)(119, 311)(120, 312)(121, 313)(122, 314)(123, 315)(124, 316)(125, 317)(126, 318)(127, 319)(128, 320)(129, 321)(130, 322)(131, 323)(132, 324)(133, 325)(134, 326)(135, 327)(136, 328)(137, 329)(138, 330)(139, 331)(140, 332)(141, 333)(142, 334)(143, 335)(144, 336)(145, 337)(146, 338)(147, 339)(148, 340)(149, 341)(150, 342)(151, 343)(152, 344)(153, 345)(154, 346)(155, 347)(156, 348)(157, 349)(158, 350)(159, 351)(160, 352)(161, 353)(162, 354)(163, 355)(164, 356)(165, 357)(166, 358)(167, 359)(168, 360)(169, 361)(170, 362)(171, 363)(172, 364)(173, 365)(174, 366)(175, 367)(176, 368)(177, 369)(178, 370)(179, 371)(180, 372)(181, 373)(182, 374)(183, 375)(184, 376)(185, 377)(186, 378)(187, 379)(188, 380)(189, 381)(190, 382)(191, 383)(192, 384)
	local type(s) :: { ( 4^4 ), ( 4^8 ) }
Outer automorphisms :: reflexible
Dual of E13.1423
Graph:: simple bipartite
	v = 72 e = 192 f = 96
	degree seq :: [ 4^48, 8^24 ]

E13.1425 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {3, 4, 6})
Quotient :: edge
Aut^+ = ((C4 x C2) : C4) : C3 (small group id <96, 3>)
Aut   = (((C4 x C2) : C4) : C3) : C2 (small group id <192, 181>)
|r| :: 2
Presentation :: [ F^2, T1^3, T2^4, (F * T2)^2, (F * T1)^2, (T2 * T1^-1)^3, T2 * T1^-1 * T2^-1 * T1^-1 * T2 * T1 * T2^2 * T1, (T2^-1 * T1^-1)^6 ]
Map:: polytopal non-degenerate
	R = (1, 3, 9, 5)(2, 6, 16, 7)(4, 11, 26, 12)(8, 20, 42, 21)(10, 18, 38, 24)(13, 30, 55, 27)(14, 31, 62, 32)(15, 33, 66, 34)(17, 28, 56, 37)(19, 39, 61, 40)(22, 46, 81, 47)(23, 44, 79, 48)(25, 51, 45, 52)(29, 57, 74, 58)(35, 59, 90, 69)(36, 68, 95, 70)(41, 77, 76, 78)(43, 49, 60, 63)(50, 54, 85, 82)(53, 72, 96, 86)(64, 91, 83, 92)(65, 93, 89, 94)(67, 71, 73, 75)(80, 88, 84, 87)(97, 98, 100)(99, 104, 106)(101, 109, 110)(102, 111, 113)(103, 114, 115)(105, 118, 119)(107, 121, 123)(108, 124, 125)(112, 131, 132)(116, 137, 139)(117, 140, 141)(120, 145, 146)(122, 149, 150)(126, 155, 156)(127, 157, 143)(128, 159, 160)(129, 161, 163)(130, 164, 138)(133, 167, 144)(134, 168, 169)(135, 170, 165)(136, 171, 172)(142, 176, 152)(147, 179, 180)(148, 181, 162)(151, 183, 166)(153, 158, 182)(154, 184, 185)(173, 189, 188)(174, 191, 177)(175, 192, 187)(178, 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) :: { ( 12^3 ), ( 12^4 ) }
Outer automorphisms :: reflexible
Dual of E13.1429
Transitivity :: ET+
Graph:: simple bipartite
	v = 56 e = 96 f = 16
	degree seq :: [ 3^32, 4^24 ]

E13.1426 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {3, 4, 6})
Quotient :: edge
Aut^+ = ((C4 x C2) : C4) : C3 (small group id <96, 3>)
Aut   = (((C4 x C2) : C4) : C3) : C2 (small group id <192, 181>)
|r| :: 2
Presentation :: [ F^2, T1^4, (F * T2)^2, (F * T1)^2, (T1 * T2)^3, T2^6, T2 * T1^-1 * T2^-2 * T1^-1 * T2 * T1^-1, T2^-1 * T1^-1 * T2^3 * T1 * T2^-2, T2^2 * T1^-1 * T2^3 * T1 * T2, T1^-2 * T2^-1 * T1^-2 * T2^-1 * T1^2 * T2^-1 ]
Map:: polytopal non-degenerate
	R = (1, 3, 10, 29, 16, 5)(2, 7, 20, 52, 24, 8)(4, 12, 34, 68, 37, 13)(6, 17, 45, 84, 49, 18)(9, 26, 62, 42, 65, 27)(11, 31, 70, 43, 22, 32)(14, 39, 35, 28, 67, 40)(15, 41, 58, 30, 51, 19)(21, 54, 71, 59, 47, 55)(23, 57, 86, 53, 82, 44)(25, 60, 91, 83, 88, 61)(33, 48, 64, 77, 85, 73)(36, 75, 46, 74, 80, 76)(38, 78, 96, 66, 95, 79)(50, 63, 93, 90, 94, 87)(56, 89, 81, 69, 92, 72)(97, 98, 102, 100)(99, 105, 121, 107)(101, 110, 134, 111)(103, 115, 146, 117)(104, 118, 152, 119)(106, 124, 162, 126)(108, 129, 168, 131)(109, 132, 159, 122)(112, 138, 179, 139)(113, 140, 175, 142)(114, 143, 156, 144)(116, 127, 165, 149)(120, 154, 186, 155)(123, 137, 178, 160)(125, 148, 180, 164)(128, 167, 171, 163)(130, 170, 190, 161)(133, 173, 177, 136)(135, 166, 151, 176)(141, 150, 184, 181)(145, 182, 192, 172)(147, 153, 169, 158)(157, 183, 191, 188)(174, 185, 187, 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) :: { ( 6^4 ), ( 6^6 ) }
Outer automorphisms :: reflexible
Dual of E13.1430
Transitivity :: ET+
Graph:: simple bipartite
	v = 40 e = 96 f = 32
	degree seq :: [ 4^24, 6^16 ]

E13.1427 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {3, 4, 6})
Quotient :: edge
Aut^+ = ((C4 x C2) : C4) : C3 (small group id <96, 3>)
Aut   = (((C4 x C2) : C4) : C3) : C2 (small group id <192, 181>)
|r| :: 2
Presentation :: [ F^2, T2^3, (F * T1)^2, (F * T2)^2, (T1 * T2^-1)^3, T1^6, T2 * T1^-3 * T2^-1 * T1^-3, (T2^-1 * T1^-1)^4, (T2 * T1 * T2 * T1^-2)^2 ]
Map:: polytopal non-degenerate
	R = (1, 3, 5)(2, 7, 8)(4, 11, 13)(6, 17, 18)(9, 24, 25)(10, 21, 27)(12, 30, 31)(14, 35, 29)(15, 36, 38)(16, 39, 40)(19, 46, 47)(20, 43, 49)(22, 51, 53)(23, 52, 54)(26, 58, 59)(28, 62, 63)(32, 64, 45)(33, 65, 55)(34, 66, 67)(37, 71, 42)(41, 73, 74)(44, 75, 76)(48, 79, 80)(50, 83, 84)(56, 87, 90)(57, 91, 85)(60, 82, 89)(61, 92, 68)(69, 77, 94)(70, 93, 78)(72, 81, 95)(86, 96, 88)(97, 98, 102, 112, 108, 100)(99, 105, 119, 135, 122, 106)(101, 110, 130, 136, 133, 111)(103, 115, 141, 126, 144, 116)(104, 117, 146, 127, 148, 118)(107, 124, 138, 113, 137, 125)(109, 128, 140, 114, 139, 129)(120, 151, 185, 154, 172, 152)(121, 132, 166, 155, 162, 153)(123, 156, 184, 150, 183, 157)(131, 164, 191, 167, 192, 165)(134, 168, 175, 163, 173, 142)(143, 147, 181, 176, 179, 174)(145, 177, 186, 160, 190, 178)(149, 182, 158, 180, 188, 169)(159, 161, 187, 170, 171, 189)
	L = (1, 97)(2, 98)(3, 99)(4, 100)(5, 101)(6, 102)(7, 103)(8, 104)(9, 105)(10, 106)(11, 107)(12, 108)(13, 109)(14, 110)(15, 111)(16, 112)(17, 113)(18, 114)(19, 115)(20, 116)(21, 117)(22, 118)(23, 119)(24, 120)(25, 121)(26, 122)(27, 123)(28, 124)(29, 125)(30, 126)(31, 127)(32, 128)(33, 129)(34, 130)(35, 131)(36, 132)(37, 133)(38, 134)(39, 135)(40, 136)(41, 137)(42, 138)(43, 139)(44, 140)(45, 141)(46, 142)(47, 143)(48, 144)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 8^3 ), ( 8^6 ) }
Outer automorphisms :: reflexible
Dual of E13.1428
Transitivity :: ET+
Graph:: simple bipartite
	v = 48 e = 96 f = 24
	degree seq :: [ 3^32, 6^16 ]

E13.1428 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {3, 4, 6})
Quotient :: loop
Aut^+ = ((C4 x C2) : C4) : C3 (small group id <96, 3>)
Aut   = (((C4 x C2) : C4) : C3) : C2 (small group id <192, 181>)
|r| :: 2
Presentation :: [ F^2, T1^3, T2^4, (F * T2)^2, (F * T1)^2, (T2 * T1^-1)^3, T2 * T1^-1 * T2^-1 * T1^-1 * T2 * T1 * T2^2 * T1, (T2^-1 * T1^-1)^6 ]
Map:: polytopal non-degenerate
	R = (1, 97, 3, 99, 9, 105, 5, 101)(2, 98, 6, 102, 16, 112, 7, 103)(4, 100, 11, 107, 26, 122, 12, 108)(8, 104, 20, 116, 42, 138, 21, 117)(10, 106, 18, 114, 38, 134, 24, 120)(13, 109, 30, 126, 55, 151, 27, 123)(14, 110, 31, 127, 62, 158, 32, 128)(15, 111, 33, 129, 66, 162, 34, 130)(17, 113, 28, 124, 56, 152, 37, 133)(19, 115, 39, 135, 61, 157, 40, 136)(22, 118, 46, 142, 81, 177, 47, 143)(23, 119, 44, 140, 79, 175, 48, 144)(25, 121, 51, 147, 45, 141, 52, 148)(29, 125, 57, 153, 74, 170, 58, 154)(35, 131, 59, 155, 90, 186, 69, 165)(36, 132, 68, 164, 95, 191, 70, 166)(41, 137, 77, 173, 76, 172, 78, 174)(43, 139, 49, 145, 60, 156, 63, 159)(50, 146, 54, 150, 85, 181, 82, 178)(53, 149, 72, 168, 96, 192, 86, 182)(64, 160, 91, 187, 83, 179, 92, 188)(65, 161, 93, 189, 89, 185, 94, 190)(67, 163, 71, 167, 73, 169, 75, 171)(80, 176, 88, 184, 84, 180, 87, 183)
	L = (1, 98)(2, 100)(3, 104)(4, 97)(5, 109)(6, 111)(7, 114)(8, 106)(9, 118)(10, 99)(11, 121)(12, 124)(13, 110)(14, 101)(15, 113)(16, 131)(17, 102)(18, 115)(19, 103)(20, 137)(21, 140)(22, 119)(23, 105)(24, 145)(25, 123)(26, 149)(27, 107)(28, 125)(29, 108)(30, 155)(31, 157)(32, 159)(33, 161)(34, 164)(35, 132)(36, 112)(37, 167)(38, 168)(39, 170)(40, 171)(41, 139)(42, 130)(43, 116)(44, 141)(45, 117)(46, 176)(47, 127)(48, 133)(49, 146)(50, 120)(51, 179)(52, 181)(53, 150)(54, 122)(55, 183)(56, 142)(57, 158)(58, 184)(59, 156)(60, 126)(61, 143)(62, 182)(63, 160)(64, 128)(65, 163)(66, 148)(67, 129)(68, 138)(69, 135)(70, 151)(71, 144)(72, 169)(73, 134)(74, 165)(75, 172)(76, 136)(77, 189)(78, 191)(79, 192)(80, 152)(81, 174)(82, 186)(83, 180)(84, 147)(85, 162)(86, 153)(87, 166)(88, 185)(89, 154)(90, 190)(91, 175)(92, 173)(93, 188)(94, 178)(95, 177)(96, 187)
	local type(s) :: { ( 3, 6, 3, 6, 3, 6, 3, 6 ) }
Outer automorphisms :: reflexible
Dual of E13.1427
Transitivity :: ET+ VT+ AT
Graph:: simple
	v = 24 e = 96 f = 48
	degree seq :: [ 8^24 ]

E13.1429 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {3, 4, 6})
Quotient :: loop
Aut^+ = ((C4 x C2) : C4) : C3 (small group id <96, 3>)
Aut   = (((C4 x C2) : C4) : C3) : C2 (small group id <192, 181>)
|r| :: 2
Presentation :: [ F^2, T1^4, (F * T2)^2, (F * T1)^2, (T1 * T2)^3, T2^6, T2 * T1^-1 * T2^-2 * T1^-1 * T2 * T1^-1, T2^-1 * T1^-1 * T2^3 * T1 * T2^-2, T2^2 * T1^-1 * T2^3 * T1 * T2, T1^-2 * T2^-1 * T1^-2 * T2^-1 * T1^2 * T2^-1 ]
Map:: polytopal non-degenerate
	R = (1, 97, 3, 99, 10, 106, 29, 125, 16, 112, 5, 101)(2, 98, 7, 103, 20, 116, 52, 148, 24, 120, 8, 104)(4, 100, 12, 108, 34, 130, 68, 164, 37, 133, 13, 109)(6, 102, 17, 113, 45, 141, 84, 180, 49, 145, 18, 114)(9, 105, 26, 122, 62, 158, 42, 138, 65, 161, 27, 123)(11, 107, 31, 127, 70, 166, 43, 139, 22, 118, 32, 128)(14, 110, 39, 135, 35, 131, 28, 124, 67, 163, 40, 136)(15, 111, 41, 137, 58, 154, 30, 126, 51, 147, 19, 115)(21, 117, 54, 150, 71, 167, 59, 155, 47, 143, 55, 151)(23, 119, 57, 153, 86, 182, 53, 149, 82, 178, 44, 140)(25, 121, 60, 156, 91, 187, 83, 179, 88, 184, 61, 157)(33, 129, 48, 144, 64, 160, 77, 173, 85, 181, 73, 169)(36, 132, 75, 171, 46, 142, 74, 170, 80, 176, 76, 172)(38, 134, 78, 174, 96, 192, 66, 162, 95, 191, 79, 175)(50, 146, 63, 159, 93, 189, 90, 186, 94, 190, 87, 183)(56, 152, 89, 185, 81, 177, 69, 165, 92, 188, 72, 168)
	L = (1, 98)(2, 102)(3, 105)(4, 97)(5, 110)(6, 100)(7, 115)(8, 118)(9, 121)(10, 124)(11, 99)(12, 129)(13, 132)(14, 134)(15, 101)(16, 138)(17, 140)(18, 143)(19, 146)(20, 127)(21, 103)(22, 152)(23, 104)(24, 154)(25, 107)(26, 109)(27, 137)(28, 162)(29, 148)(30, 106)(31, 165)(32, 167)(33, 168)(34, 170)(35, 108)(36, 159)(37, 173)(38, 111)(39, 166)(40, 133)(41, 178)(42, 179)(43, 112)(44, 175)(45, 150)(46, 113)(47, 156)(48, 114)(49, 182)(50, 117)(51, 153)(52, 180)(53, 116)(54, 184)(55, 176)(56, 119)(57, 169)(58, 186)(59, 120)(60, 144)(61, 183)(62, 147)(63, 122)(64, 123)(65, 130)(66, 126)(67, 128)(68, 125)(69, 149)(70, 151)(71, 171)(72, 131)(73, 158)(74, 190)(75, 163)(76, 145)(77, 177)(78, 185)(79, 142)(80, 135)(81, 136)(82, 160)(83, 139)(84, 164)(85, 141)(86, 192)(87, 191)(88, 181)(89, 187)(90, 155)(91, 189)(92, 157)(93, 174)(94, 161)(95, 188)(96, 172)
	local type(s) :: { ( 3, 4, 3, 4, 3, 4, 3, 4, 3, 4, 3, 4 ) }
Outer automorphisms :: reflexible
Dual of E13.1425
Transitivity :: ET+ VT+ AT
Graph::
	v = 16 e = 96 f = 56
	degree seq :: [ 12^16 ]

E13.1430 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {3, 4, 6})
Quotient :: loop
Aut^+ = ((C4 x C2) : C4) : C3 (small group id <96, 3>)
Aut   = (((C4 x C2) : C4) : C3) : C2 (small group id <192, 181>)
|r| :: 2
Presentation :: [ F^2, T2^3, (F * T1)^2, (F * T2)^2, (T1 * T2^-1)^3, T1^6, T2 * T1^-3 * T2^-1 * T1^-3, (T2^-1 * T1^-1)^4, (T2 * T1 * T2 * T1^-2)^2 ]
Map:: polytopal non-degenerate
	R = (1, 97, 3, 99, 5, 101)(2, 98, 7, 103, 8, 104)(4, 100, 11, 107, 13, 109)(6, 102, 17, 113, 18, 114)(9, 105, 24, 120, 25, 121)(10, 106, 21, 117, 27, 123)(12, 108, 30, 126, 31, 127)(14, 110, 35, 131, 29, 125)(15, 111, 36, 132, 38, 134)(16, 112, 39, 135, 40, 136)(19, 115, 46, 142, 47, 143)(20, 116, 43, 139, 49, 145)(22, 118, 51, 147, 53, 149)(23, 119, 52, 148, 54, 150)(26, 122, 58, 154, 59, 155)(28, 124, 62, 158, 63, 159)(32, 128, 64, 160, 45, 141)(33, 129, 65, 161, 55, 151)(34, 130, 66, 162, 67, 163)(37, 133, 71, 167, 42, 138)(41, 137, 73, 169, 74, 170)(44, 140, 75, 171, 76, 172)(48, 144, 79, 175, 80, 176)(50, 146, 83, 179, 84, 180)(56, 152, 87, 183, 90, 186)(57, 153, 91, 187, 85, 181)(60, 156, 82, 178, 89, 185)(61, 157, 92, 188, 68, 164)(69, 165, 77, 173, 94, 190)(70, 166, 93, 189, 78, 174)(72, 168, 81, 177, 95, 191)(86, 182, 96, 192, 88, 184)
	L = (1, 98)(2, 102)(3, 105)(4, 97)(5, 110)(6, 112)(7, 115)(8, 117)(9, 119)(10, 99)(11, 124)(12, 100)(13, 128)(14, 130)(15, 101)(16, 108)(17, 137)(18, 139)(19, 141)(20, 103)(21, 146)(22, 104)(23, 135)(24, 151)(25, 132)(26, 106)(27, 156)(28, 138)(29, 107)(30, 144)(31, 148)(32, 140)(33, 109)(34, 136)(35, 164)(36, 166)(37, 111)(38, 168)(39, 122)(40, 133)(41, 125)(42, 113)(43, 129)(44, 114)(45, 126)(46, 134)(47, 147)(48, 116)(49, 177)(50, 127)(51, 181)(52, 118)(53, 182)(54, 183)(55, 185)(56, 120)(57, 121)(58, 172)(59, 162)(60, 184)(61, 123)(62, 180)(63, 161)(64, 190)(65, 187)(66, 153)(67, 173)(68, 191)(69, 131)(70, 155)(71, 192)(72, 175)(73, 149)(74, 171)(75, 189)(76, 152)(77, 142)(78, 143)(79, 163)(80, 179)(81, 186)(82, 145)(83, 174)(84, 188)(85, 176)(86, 158)(87, 157)(88, 150)(89, 154)(90, 160)(91, 170)(92, 169)(93, 159)(94, 178)(95, 167)(96, 165)
	local type(s) :: { ( 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible
Dual of E13.1426
Transitivity :: ET+ VT+ AT
Graph:: simple
	v = 32 e = 96 f = 40
	degree seq :: [ 6^32 ]

E13.1431 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 4, 6})
Quotient :: dipole
Aut^+ = ((C4 x C2) : C4) : C3 (small group id <96, 3>)
Aut   = (((C4 x C2) : C4) : C3) : C2 (small group id <192, 181>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y3^-1, Y1^2 * Y3^-1, Y2^4, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y3 * Y2 * Y3 * Y2 * Y1^-1 * Y2, Y1 * Y2 * Y3 * Y2^-1 * Y3 * Y2 * Y3^-1 * Y2^2, Y1 * Y2 * Y1 * Y2^-1 * Y3 * Y2^2 * Y1^-1 * Y2^-1, Y2^-1 * Y1 * Y2 * Y3 * Y2^-1 * Y1^-1 * Y2 * Y3^-1 * Y2^-1, Y1 * Y2^-1 * Y3 * Y2^-2 * Y1^-1 * Y2^-1 * Y3^-1 * Y2, (Y3 * Y2^-1)^6 ]
Map::
	R = (1, 97, 2, 98, 4, 100)(3, 99, 8, 104, 10, 106)(5, 101, 13, 109, 14, 110)(6, 102, 15, 111, 17, 113)(7, 103, 18, 114, 19, 115)(9, 105, 22, 118, 23, 119)(11, 107, 25, 121, 27, 123)(12, 108, 28, 124, 29, 125)(16, 112, 35, 131, 36, 132)(20, 116, 41, 137, 43, 139)(21, 117, 44, 140, 45, 141)(24, 120, 49, 145, 50, 146)(26, 122, 53, 149, 54, 150)(30, 126, 59, 155, 60, 156)(31, 127, 61, 157, 47, 143)(32, 128, 63, 159, 64, 160)(33, 129, 65, 161, 67, 163)(34, 130, 68, 164, 42, 138)(37, 133, 71, 167, 48, 144)(38, 134, 72, 168, 73, 169)(39, 135, 74, 170, 69, 165)(40, 136, 75, 171, 76, 172)(46, 142, 80, 176, 56, 152)(51, 147, 83, 179, 84, 180)(52, 148, 85, 181, 66, 162)(55, 151, 87, 183, 70, 166)(57, 153, 62, 158, 86, 182)(58, 154, 88, 184, 89, 185)(77, 173, 93, 189, 92, 188)(78, 174, 95, 191, 81, 177)(79, 175, 96, 192, 91, 187)(82, 178, 90, 186, 94, 190)(193, 289, 195, 291, 201, 297, 197, 293)(194, 290, 198, 294, 208, 304, 199, 295)(196, 292, 203, 299, 218, 314, 204, 300)(200, 296, 212, 308, 234, 330, 213, 309)(202, 298, 210, 306, 230, 326, 216, 312)(205, 301, 222, 318, 247, 343, 219, 315)(206, 302, 223, 319, 254, 350, 224, 320)(207, 303, 225, 321, 258, 354, 226, 322)(209, 305, 220, 316, 248, 344, 229, 325)(211, 307, 231, 327, 253, 349, 232, 328)(214, 310, 238, 334, 273, 369, 239, 335)(215, 311, 236, 332, 271, 367, 240, 336)(217, 313, 243, 339, 237, 333, 244, 340)(221, 317, 249, 345, 266, 362, 250, 346)(227, 323, 251, 347, 282, 378, 261, 357)(228, 324, 260, 356, 287, 383, 262, 358)(233, 329, 269, 365, 268, 364, 270, 366)(235, 331, 241, 337, 252, 348, 255, 351)(242, 338, 246, 342, 277, 373, 274, 370)(245, 341, 264, 360, 288, 384, 278, 374)(256, 352, 283, 379, 275, 371, 284, 380)(257, 353, 285, 381, 281, 377, 286, 382)(259, 355, 263, 359, 265, 361, 267, 363)(272, 368, 280, 376, 276, 372, 279, 375)
	L = (1, 196)(2, 193)(3, 202)(4, 194)(5, 206)(6, 209)(7, 211)(8, 195)(9, 215)(10, 200)(11, 219)(12, 221)(13, 197)(14, 205)(15, 198)(16, 228)(17, 207)(18, 199)(19, 210)(20, 235)(21, 237)(22, 201)(23, 214)(24, 242)(25, 203)(26, 246)(27, 217)(28, 204)(29, 220)(30, 252)(31, 239)(32, 256)(33, 259)(34, 234)(35, 208)(36, 227)(37, 240)(38, 265)(39, 261)(40, 268)(41, 212)(42, 260)(43, 233)(44, 213)(45, 236)(46, 248)(47, 253)(48, 263)(49, 216)(50, 241)(51, 276)(52, 258)(53, 218)(54, 245)(55, 262)(56, 272)(57, 278)(58, 281)(59, 222)(60, 251)(61, 223)(62, 249)(63, 224)(64, 255)(65, 225)(66, 277)(67, 257)(68, 226)(69, 266)(70, 279)(71, 229)(72, 230)(73, 264)(74, 231)(75, 232)(76, 267)(77, 284)(78, 273)(79, 283)(80, 238)(81, 287)(82, 286)(83, 243)(84, 275)(85, 244)(86, 254)(87, 247)(88, 250)(89, 280)(90, 274)(91, 288)(92, 285)(93, 269)(94, 282)(95, 270)(96, 271)(97, 289)(98, 290)(99, 291)(100, 292)(101, 293)(102, 294)(103, 295)(104, 296)(105, 297)(106, 298)(107, 299)(108, 300)(109, 301)(110, 302)(111, 303)(112, 304)(113, 305)(114, 306)(115, 307)(116, 308)(117, 309)(118, 310)(119, 311)(120, 312)(121, 313)(122, 314)(123, 315)(124, 316)(125, 317)(126, 318)(127, 319)(128, 320)(129, 321)(130, 322)(131, 323)(132, 324)(133, 325)(134, 326)(135, 327)(136, 328)(137, 329)(138, 330)(139, 331)(140, 332)(141, 333)(142, 334)(143, 335)(144, 336)(145, 337)(146, 338)(147, 339)(148, 340)(149, 341)(150, 342)(151, 343)(152, 344)(153, 345)(154, 346)(155, 347)(156, 348)(157, 349)(158, 350)(159, 351)(160, 352)(161, 353)(162, 354)(163, 355)(164, 356)(165, 357)(166, 358)(167, 359)(168, 360)(169, 361)(170, 362)(171, 363)(172, 364)(173, 365)(174, 366)(175, 367)(176, 368)(177, 369)(178, 370)(179, 371)(180, 372)(181, 373)(182, 374)(183, 375)(184, 376)(185, 377)(186, 378)(187, 379)(188, 380)(189, 381)(190, 382)(191, 383)(192, 384)
	local type(s) :: { ( 2, 12, 2, 12, 2, 12 ), ( 2, 12, 2, 12, 2, 12, 2, 12 ) }
Outer automorphisms :: reflexible
Dual of E13.1434
Graph:: bipartite
	v = 56 e = 192 f = 112
	degree seq :: [ 6^32, 8^24 ]

E13.1432 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 4, 6})
Quotient :: dipole
Aut^+ = ((C4 x C2) : C4) : C3 (small group id <96, 3>)
Aut   = (((C4 x C2) : C4) : C3) : C2 (small group id <192, 181>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y2^-1, R * Y2 * R * Y3, (R * Y1)^2, Y1^4, (Y1 * Y2)^3, (Y3^-1 * Y1^-1)^3, Y2^6, Y2 * Y1^-1 * Y2^-2 * Y1^-1 * Y2 * Y1^-1, Y2^-1 * Y1^-1 * Y2^3 * Y1 * Y2^-2, Y2^2 * Y1^-1 * Y2^3 * Y1 * Y2, Y1^-2 * Y2^-1 * Y1^-2 * Y2^-1 * Y1^2 * Y2^-1 ]
Map::
	R = (1, 97, 2, 98, 6, 102, 4, 100)(3, 99, 9, 105, 25, 121, 11, 107)(5, 101, 14, 110, 38, 134, 15, 111)(7, 103, 19, 115, 50, 146, 21, 117)(8, 104, 22, 118, 56, 152, 23, 119)(10, 106, 28, 124, 66, 162, 30, 126)(12, 108, 33, 129, 72, 168, 35, 131)(13, 109, 36, 132, 63, 159, 26, 122)(16, 112, 42, 138, 83, 179, 43, 139)(17, 113, 44, 140, 79, 175, 46, 142)(18, 114, 47, 143, 60, 156, 48, 144)(20, 116, 31, 127, 69, 165, 53, 149)(24, 120, 58, 154, 90, 186, 59, 155)(27, 123, 41, 137, 82, 178, 64, 160)(29, 125, 52, 148, 84, 180, 68, 164)(32, 128, 71, 167, 75, 171, 67, 163)(34, 130, 74, 170, 94, 190, 65, 161)(37, 133, 77, 173, 81, 177, 40, 136)(39, 135, 70, 166, 55, 151, 80, 176)(45, 141, 54, 150, 88, 184, 85, 181)(49, 145, 86, 182, 96, 192, 76, 172)(51, 147, 57, 153, 73, 169, 62, 158)(61, 157, 87, 183, 95, 191, 92, 188)(78, 174, 89, 185, 91, 187, 93, 189)(193, 289, 195, 291, 202, 298, 221, 317, 208, 304, 197, 293)(194, 290, 199, 295, 212, 308, 244, 340, 216, 312, 200, 296)(196, 292, 204, 300, 226, 322, 260, 356, 229, 325, 205, 301)(198, 294, 209, 305, 237, 333, 276, 372, 241, 337, 210, 306)(201, 297, 218, 314, 254, 350, 234, 330, 257, 353, 219, 315)(203, 299, 223, 319, 262, 358, 235, 331, 214, 310, 224, 320)(206, 302, 231, 327, 227, 323, 220, 316, 259, 355, 232, 328)(207, 303, 233, 329, 250, 346, 222, 318, 243, 339, 211, 307)(213, 309, 246, 342, 263, 359, 251, 347, 239, 335, 247, 343)(215, 311, 249, 345, 278, 374, 245, 341, 274, 370, 236, 332)(217, 313, 252, 348, 283, 379, 275, 371, 280, 376, 253, 349)(225, 321, 240, 336, 256, 352, 269, 365, 277, 373, 265, 361)(228, 324, 267, 363, 238, 334, 266, 362, 272, 368, 268, 364)(230, 326, 270, 366, 288, 384, 258, 354, 287, 383, 271, 367)(242, 338, 255, 351, 285, 381, 282, 378, 286, 382, 279, 375)(248, 344, 281, 377, 273, 369, 261, 357, 284, 380, 264, 360)
	L = (1, 195)(2, 199)(3, 202)(4, 204)(5, 193)(6, 209)(7, 212)(8, 194)(9, 218)(10, 221)(11, 223)(12, 226)(13, 196)(14, 231)(15, 233)(16, 197)(17, 237)(18, 198)(19, 207)(20, 244)(21, 246)(22, 224)(23, 249)(24, 200)(25, 252)(26, 254)(27, 201)(28, 259)(29, 208)(30, 243)(31, 262)(32, 203)(33, 240)(34, 260)(35, 220)(36, 267)(37, 205)(38, 270)(39, 227)(40, 206)(41, 250)(42, 257)(43, 214)(44, 215)(45, 276)(46, 266)(47, 247)(48, 256)(49, 210)(50, 255)(51, 211)(52, 216)(53, 274)(54, 263)(55, 213)(56, 281)(57, 278)(58, 222)(59, 239)(60, 283)(61, 217)(62, 234)(63, 285)(64, 269)(65, 219)(66, 287)(67, 232)(68, 229)(69, 284)(70, 235)(71, 251)(72, 248)(73, 225)(74, 272)(75, 238)(76, 228)(77, 277)(78, 288)(79, 230)(80, 268)(81, 261)(82, 236)(83, 280)(84, 241)(85, 265)(86, 245)(87, 242)(88, 253)(89, 273)(90, 286)(91, 275)(92, 264)(93, 282)(94, 279)(95, 271)(96, 258)(97, 289)(98, 290)(99, 291)(100, 292)(101, 293)(102, 294)(103, 295)(104, 296)(105, 297)(106, 298)(107, 299)(108, 300)(109, 301)(110, 302)(111, 303)(112, 304)(113, 305)(114, 306)(115, 307)(116, 308)(117, 309)(118, 310)(119, 311)(120, 312)(121, 313)(122, 314)(123, 315)(124, 316)(125, 317)(126, 318)(127, 319)(128, 320)(129, 321)(130, 322)(131, 323)(132, 324)(133, 325)(134, 326)(135, 327)(136, 328)(137, 329)(138, 330)(139, 331)(140, 332)(141, 333)(142, 334)(143, 335)(144, 336)(145, 337)(146, 338)(147, 339)(148, 340)(149, 341)(150, 342)(151, 343)(152, 344)(153, 345)(154, 346)(155, 347)(156, 348)(157, 349)(158, 350)(159, 351)(160, 352)(161, 353)(162, 354)(163, 355)(164, 356)(165, 357)(166, 358)(167, 359)(168, 360)(169, 361)(170, 362)(171, 363)(172, 364)(173, 365)(174, 366)(175, 367)(176, 368)(177, 369)(178, 370)(179, 371)(180, 372)(181, 373)(182, 374)(183, 375)(184, 376)(185, 377)(186, 378)(187, 379)(188, 380)(189, 381)(190, 382)(191, 383)(192, 384)
	local type(s) :: { ( 2, 6, 2, 6, 2, 6, 2, 6 ), ( 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6 ) }
Outer automorphisms :: reflexible
Dual of E13.1433
Graph:: bipartite
	v = 40 e = 192 f = 128
	degree seq :: [ 8^24, 12^16 ]

E13.1433 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 4, 6})
Quotient :: dipole
Aut^+ = ((C4 x C2) : C4) : C3 (small group id <96, 3>)
Aut   = (((C4 x C2) : C4) : C3) : C2 (small group id <192, 181>)
|r| :: 2
Presentation :: [ Y1, R^2, Y2^3, (R * Y3)^2, (R * Y1)^2, Y3^6, (R * Y2 * Y3^-1)^2, Y3^6, (Y3 * Y2)^3, Y3^3 * Y2 * Y3^-3 * Y2^-1, (Y3 * Y2^-1)^4, (Y3^-1 * Y1^-1)^6 ]
Map:: polytopal
	R = (1, 97)(2, 98)(3, 99)(4, 100)(5, 101)(6, 102)(7, 103)(8, 104)(9, 105)(10, 106)(11, 107)(12, 108)(13, 109)(14, 110)(15, 111)(16, 112)(17, 113)(18, 114)(19, 115)(20, 116)(21, 117)(22, 118)(23, 119)(24, 120)(25, 121)(26, 122)(27, 123)(28, 124)(29, 125)(30, 126)(31, 127)(32, 128)(33, 129)(34, 130)(35, 131)(36, 132)(37, 133)(38, 134)(39, 135)(40, 136)(41, 137)(42, 138)(43, 139)(44, 140)(45, 141)(46, 142)(47, 143)(48, 144)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)(193, 289, 194, 290, 196, 292)(195, 291, 200, 296, 202, 298)(197, 293, 205, 301, 206, 302)(198, 294, 208, 304, 210, 306)(199, 295, 211, 307, 212, 308)(201, 297, 216, 312, 218, 314)(203, 299, 221, 317, 223, 319)(204, 300, 224, 320, 214, 310)(207, 303, 229, 325, 230, 326)(209, 305, 232, 328, 234, 330)(213, 309, 240, 336, 241, 337)(215, 311, 243, 339, 244, 340)(217, 313, 233, 329, 248, 344)(219, 315, 249, 345, 238, 334)(220, 316, 251, 347, 246, 342)(222, 318, 254, 350, 245, 341)(225, 321, 259, 355, 260, 356)(226, 322, 250, 346, 261, 357)(227, 323, 255, 351, 262, 358)(228, 324, 263, 359, 264, 360)(231, 327, 265, 361, 266, 362)(235, 331, 269, 365, 258, 354)(236, 332, 271, 367, 267, 363)(237, 333, 270, 366, 273, 369)(239, 335, 274, 370, 275, 371)(242, 338, 276, 372, 277, 373)(247, 343, 280, 376, 281, 377)(252, 348, 283, 379, 268, 364)(253, 349, 279, 375, 284, 380)(256, 352, 288, 384, 285, 381)(257, 353, 287, 383, 282, 378)(272, 368, 278, 374, 286, 382)
	L = (1, 195)(2, 198)(3, 201)(4, 203)(5, 193)(6, 209)(7, 194)(8, 214)(9, 217)(10, 219)(11, 222)(12, 196)(13, 226)(14, 228)(15, 197)(16, 206)(17, 233)(18, 235)(19, 237)(20, 239)(21, 199)(22, 242)(23, 200)(24, 246)(25, 207)(26, 231)(27, 250)(28, 202)(29, 212)(30, 248)(31, 255)(32, 257)(33, 204)(34, 247)(35, 205)(36, 240)(37, 245)(38, 252)(39, 208)(40, 267)(41, 213)(42, 253)(43, 270)(44, 210)(45, 268)(46, 211)(47, 259)(48, 218)(49, 272)(50, 229)(51, 278)(52, 279)(53, 215)(54, 227)(55, 216)(56, 225)(57, 244)(58, 230)(59, 273)(60, 220)(61, 221)(62, 285)(63, 287)(64, 223)(65, 286)(66, 224)(67, 234)(68, 280)(69, 271)(70, 284)(71, 262)(72, 276)(73, 281)(74, 243)(75, 238)(76, 232)(77, 266)(78, 241)(79, 282)(80, 236)(81, 288)(82, 249)(83, 263)(84, 269)(85, 274)(86, 264)(87, 283)(88, 256)(89, 275)(90, 251)(91, 277)(92, 265)(93, 258)(94, 254)(95, 260)(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) :: { ( 8, 12 ), ( 8, 12, 8, 12, 8, 12 ) }
Outer automorphisms :: reflexible
Dual of E13.1432
Graph:: simple bipartite
	v = 128 e = 192 f = 40
	degree seq :: [ 2^96, 6^32 ]

E13.1434 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 4, 6})
Quotient :: dipole
Aut^+ = ((C4 x C2) : C4) : C3 (small group id <96, 3>)
Aut   = (((C4 x C2) : C4) : C3) : C2 (small group id <192, 181>)
|r| :: 2
Presentation :: [ Y2, R^2, Y3^3, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, (Y1 * Y3^-1)^3, Y1^6, (Y3 * Y2^-1)^3, Y3 * Y1^-3 * Y3^-1 * Y1^-3, (Y3^-1 * Y1^-1)^4, (Y3 * Y1 * Y3 * Y1^-2)^2 ]
Map:: polytopal
	R = (1, 97, 2, 98, 6, 102, 16, 112, 12, 108, 4, 100)(3, 99, 9, 105, 23, 119, 39, 135, 26, 122, 10, 106)(5, 101, 14, 110, 34, 130, 40, 136, 37, 133, 15, 111)(7, 103, 19, 115, 45, 141, 30, 126, 48, 144, 20, 116)(8, 104, 21, 117, 50, 146, 31, 127, 52, 148, 22, 118)(11, 107, 28, 124, 42, 138, 17, 113, 41, 137, 29, 125)(13, 109, 32, 128, 44, 140, 18, 114, 43, 139, 33, 129)(24, 120, 55, 151, 89, 185, 58, 154, 76, 172, 56, 152)(25, 121, 36, 132, 70, 166, 59, 155, 66, 162, 57, 153)(27, 123, 60, 156, 88, 184, 54, 150, 87, 183, 61, 157)(35, 131, 68, 164, 95, 191, 71, 167, 96, 192, 69, 165)(38, 134, 72, 168, 79, 175, 67, 163, 77, 173, 46, 142)(47, 143, 51, 147, 85, 181, 80, 176, 83, 179, 78, 174)(49, 145, 81, 177, 90, 186, 64, 160, 94, 190, 82, 178)(53, 149, 86, 182, 62, 158, 84, 180, 92, 188, 73, 169)(63, 159, 65, 161, 91, 187, 74, 170, 75, 171, 93, 189)(193, 289)(194, 290)(195, 291)(196, 292)(197, 293)(198, 294)(199, 295)(200, 296)(201, 297)(202, 298)(203, 299)(204, 300)(205, 301)(206, 302)(207, 303)(208, 304)(209, 305)(210, 306)(211, 307)(212, 308)(213, 309)(214, 310)(215, 311)(216, 312)(217, 313)(218, 314)(219, 315)(220, 316)(221, 317)(222, 318)(223, 319)(224, 320)(225, 321)(226, 322)(227, 323)(228, 324)(229, 325)(230, 326)(231, 327)(232, 328)(233, 329)(234, 330)(235, 331)(236, 332)(237, 333)(238, 334)(239, 335)(240, 336)(241, 337)(242, 338)(243, 339)(244, 340)(245, 341)(246, 342)(247, 343)(248, 344)(249, 345)(250, 346)(251, 347)(252, 348)(253, 349)(254, 350)(255, 351)(256, 352)(257, 353)(258, 354)(259, 355)(260, 356)(261, 357)(262, 358)(263, 359)(264, 360)(265, 361)(266, 362)(267, 363)(268, 364)(269, 365)(270, 366)(271, 367)(272, 368)(273, 369)(274, 370)(275, 371)(276, 372)(277, 373)(278, 374)(279, 375)(280, 376)(281, 377)(282, 378)(283, 379)(284, 380)(285, 381)(286, 382)(287, 383)(288, 384)
	L = (1, 195)(2, 199)(3, 197)(4, 203)(5, 193)(6, 209)(7, 200)(8, 194)(9, 216)(10, 213)(11, 205)(12, 222)(13, 196)(14, 227)(15, 228)(16, 231)(17, 210)(18, 198)(19, 238)(20, 235)(21, 219)(22, 243)(23, 244)(24, 217)(25, 201)(26, 250)(27, 202)(28, 254)(29, 206)(30, 223)(31, 204)(32, 256)(33, 257)(34, 258)(35, 221)(36, 230)(37, 263)(38, 207)(39, 232)(40, 208)(41, 265)(42, 229)(43, 241)(44, 267)(45, 224)(46, 239)(47, 211)(48, 271)(49, 212)(50, 275)(51, 245)(52, 246)(53, 214)(54, 215)(55, 225)(56, 279)(57, 283)(58, 251)(59, 218)(60, 274)(61, 284)(62, 255)(63, 220)(64, 237)(65, 247)(66, 259)(67, 226)(68, 253)(69, 269)(70, 285)(71, 234)(72, 273)(73, 266)(74, 233)(75, 268)(76, 236)(77, 286)(78, 262)(79, 272)(80, 240)(81, 287)(82, 281)(83, 276)(84, 242)(85, 249)(86, 288)(87, 282)(88, 278)(89, 252)(90, 248)(91, 277)(92, 260)(93, 270)(94, 261)(95, 264)(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) :: { ( 6, 8 ), ( 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8 ) }
Outer automorphisms :: reflexible
Dual of E13.1431
Graph:: simple bipartite
	v = 112 e = 192 f = 56
	degree seq :: [ 2^96, 12^16 ]

E13.1435 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 4, 6})
Quotient :: dipole
Aut^+ = ((C4 x C2) : C4) : C3 (small group id <96, 3>)
Aut   = (((C4 x C2) : C4) : C3) : C2 (small group id <192, 181>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1^-1, Y1^2 * Y3^-1, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y2 * Y3 * Y2 * Y1^-1 * Y2 * Y1^-1, Y2^6, Y3 * Y2^-1 * Y3 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1, Y3 * Y2^-3 * Y1 * Y2^-3, Y3 * Y2^3 * Y3^-1 * Y2^-3, (Y3 * Y2^-1)^4, Y2^-1 * Y1 * Y2 * Y1 * Y2^-2 * Y3^-1 * Y2 * Y3^-1 * Y2^-1 ]
Map::
	R = (1, 97, 2, 98, 4, 100)(3, 99, 8, 104, 10, 106)(5, 101, 13, 109, 14, 110)(6, 102, 16, 112, 18, 114)(7, 103, 19, 115, 20, 116)(9, 105, 24, 120, 26, 122)(11, 107, 28, 124, 30, 126)(12, 108, 31, 127, 32, 128)(15, 111, 37, 133, 38, 134)(17, 113, 41, 137, 43, 139)(21, 117, 48, 144, 49, 145)(22, 118, 50, 146, 52, 148)(23, 119, 53, 149, 54, 150)(25, 121, 42, 138, 58, 154)(27, 123, 60, 156, 61, 157)(29, 125, 64, 160, 65, 161)(33, 129, 68, 164, 57, 153)(34, 130, 69, 165, 70, 166)(35, 131, 71, 167, 51, 147)(36, 132, 72, 168, 39, 135)(40, 136, 74, 170, 75, 171)(44, 140, 78, 174, 79, 175)(45, 141, 80, 176, 81, 177)(46, 142, 82, 178, 73, 169)(47, 143, 83, 179, 62, 158)(55, 151, 87, 183, 88, 184)(56, 152, 89, 185, 90, 186)(59, 155, 91, 187, 76, 172)(63, 159, 84, 180, 94, 190)(66, 162, 96, 192, 85, 181)(67, 163, 86, 182, 93, 189)(77, 173, 92, 188, 95, 191)(193, 289, 195, 291, 201, 297, 217, 313, 207, 303, 197, 293)(194, 290, 198, 294, 209, 305, 234, 330, 213, 309, 199, 295)(196, 292, 203, 299, 221, 317, 250, 346, 225, 321, 204, 300)(200, 296, 214, 310, 243, 339, 229, 325, 247, 343, 215, 311)(202, 298, 211, 307, 237, 333, 230, 326, 233, 329, 219, 315)(205, 301, 226, 322, 249, 345, 216, 312, 248, 344, 222, 318)(206, 302, 227, 323, 251, 347, 218, 314, 245, 341, 228, 324)(208, 304, 231, 327, 265, 361, 240, 336, 268, 364, 232, 328)(210, 306, 223, 319, 258, 354, 241, 337, 256, 352, 236, 332)(212, 308, 238, 334, 269, 365, 235, 331, 266, 362, 239, 335)(220, 316, 254, 350, 285, 381, 260, 356, 287, 383, 255, 351)(224, 320, 259, 355, 279, 375, 257, 353, 276, 372, 242, 338)(244, 340, 252, 348, 271, 367, 280, 376, 272, 368, 277, 373)(246, 342, 278, 374, 267, 363, 263, 359, 286, 382, 274, 370)(253, 349, 284, 380, 261, 357, 273, 369, 275, 371, 281, 377)(262, 358, 264, 360, 270, 366, 282, 378, 283, 379, 288, 384)
	L = (1, 196)(2, 193)(3, 202)(4, 194)(5, 206)(6, 210)(7, 212)(8, 195)(9, 218)(10, 200)(11, 222)(12, 224)(13, 197)(14, 205)(15, 230)(16, 198)(17, 235)(18, 208)(19, 199)(20, 211)(21, 241)(22, 244)(23, 246)(24, 201)(25, 250)(26, 216)(27, 253)(28, 203)(29, 257)(30, 220)(31, 204)(32, 223)(33, 249)(34, 262)(35, 243)(36, 231)(37, 207)(38, 229)(39, 264)(40, 267)(41, 209)(42, 217)(43, 233)(44, 271)(45, 273)(46, 265)(47, 254)(48, 213)(49, 240)(50, 214)(51, 263)(52, 242)(53, 215)(54, 245)(55, 280)(56, 282)(57, 260)(58, 234)(59, 268)(60, 219)(61, 252)(62, 275)(63, 286)(64, 221)(65, 256)(66, 277)(67, 285)(68, 225)(69, 226)(70, 261)(71, 227)(72, 228)(73, 274)(74, 232)(75, 266)(76, 283)(77, 287)(78, 236)(79, 270)(80, 237)(81, 272)(82, 238)(83, 239)(84, 255)(85, 288)(86, 259)(87, 247)(88, 279)(89, 248)(90, 281)(91, 251)(92, 269)(93, 278)(94, 276)(95, 284)(96, 258)(97, 289)(98, 290)(99, 291)(100, 292)(101, 293)(102, 294)(103, 295)(104, 296)(105, 297)(106, 298)(107, 299)(108, 300)(109, 301)(110, 302)(111, 303)(112, 304)(113, 305)(114, 306)(115, 307)(116, 308)(117, 309)(118, 310)(119, 311)(120, 312)(121, 313)(122, 314)(123, 315)(124, 316)(125, 317)(126, 318)(127, 319)(128, 320)(129, 321)(130, 322)(131, 323)(132, 324)(133, 325)(134, 326)(135, 327)(136, 328)(137, 329)(138, 330)(139, 331)(140, 332)(141, 333)(142, 334)(143, 335)(144, 336)(145, 337)(146, 338)(147, 339)(148, 340)(149, 341)(150, 342)(151, 343)(152, 344)(153, 345)(154, 346)(155, 347)(156, 348)(157, 349)(158, 350)(159, 351)(160, 352)(161, 353)(162, 354)(163, 355)(164, 356)(165, 357)(166, 358)(167, 359)(168, 360)(169, 361)(170, 362)(171, 363)(172, 364)(173, 365)(174, 366)(175, 367)(176, 368)(177, 369)(178, 370)(179, 371)(180, 372)(181, 373)(182, 374)(183, 375)(184, 376)(185, 377)(186, 378)(187, 379)(188, 380)(189, 381)(190, 382)(191, 383)(192, 384)
	local type(s) :: { ( 2, 8, 2, 8, 2, 8 ), ( 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8 ) }
Outer automorphisms :: reflexible
Dual of E13.1436
Graph:: bipartite
	v = 48 e = 192 f = 120
	degree seq :: [ 6^32, 12^16 ]

E13.1436 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 4, 6})
Quotient :: dipole
Aut^+ = ((C4 x C2) : C4) : C3 (small group id <96, 3>)
Aut   = (((C4 x C2) : C4) : C3) : C2 (small group id <192, 181>)
|r| :: 2
Presentation :: [ Y2, R^2, Y1^4, (R * Y3)^2, (R * Y1)^2, (Y1 * Y3)^3, (R * Y2 * Y3^-1)^2, Y3 * Y1^-1 * Y3^-2 * Y1^-1 * Y3 * Y1^-1, Y3^-1 * Y1^-1 * Y3^-3 * Y1 * Y3^-2, Y3^2 * Y1^-1 * Y3^3 * Y1 * Y3, Y1^-1 * Y3^-1 * Y1^-2 * Y3^-1 * Y1^2 * Y3^-1 * Y1^-1, (Y3 * Y2^-1)^6 ]
Map:: polytopal
	R = (1, 97, 2, 98, 6, 102, 4, 100)(3, 99, 9, 105, 25, 121, 11, 107)(5, 101, 14, 110, 38, 134, 15, 111)(7, 103, 19, 115, 50, 146, 21, 117)(8, 104, 22, 118, 56, 152, 23, 119)(10, 106, 28, 124, 66, 162, 30, 126)(12, 108, 33, 129, 72, 168, 35, 131)(13, 109, 36, 132, 63, 159, 26, 122)(16, 112, 42, 138, 83, 179, 43, 139)(17, 113, 44, 140, 79, 175, 46, 142)(18, 114, 47, 143, 60, 156, 48, 144)(20, 116, 31, 127, 69, 165, 53, 149)(24, 120, 58, 154, 90, 186, 59, 155)(27, 123, 41, 137, 82, 178, 64, 160)(29, 125, 52, 148, 84, 180, 68, 164)(32, 128, 71, 167, 75, 171, 67, 163)(34, 130, 74, 170, 94, 190, 65, 161)(37, 133, 77, 173, 81, 177, 40, 136)(39, 135, 70, 166, 55, 151, 80, 176)(45, 141, 54, 150, 88, 184, 85, 181)(49, 145, 86, 182, 96, 192, 76, 172)(51, 147, 57, 153, 73, 169, 62, 158)(61, 157, 87, 183, 95, 191, 92, 188)(78, 174, 89, 185, 91, 187, 93, 189)(193, 289)(194, 290)(195, 291)(196, 292)(197, 293)(198, 294)(199, 295)(200, 296)(201, 297)(202, 298)(203, 299)(204, 300)(205, 301)(206, 302)(207, 303)(208, 304)(209, 305)(210, 306)(211, 307)(212, 308)(213, 309)(214, 310)(215, 311)(216, 312)(217, 313)(218, 314)(219, 315)(220, 316)(221, 317)(222, 318)(223, 319)(224, 320)(225, 321)(226, 322)(227, 323)(228, 324)(229, 325)(230, 326)(231, 327)(232, 328)(233, 329)(234, 330)(235, 331)(236, 332)(237, 333)(238, 334)(239, 335)(240, 336)(241, 337)(242, 338)(243, 339)(244, 340)(245, 341)(246, 342)(247, 343)(248, 344)(249, 345)(250, 346)(251, 347)(252, 348)(253, 349)(254, 350)(255, 351)(256, 352)(257, 353)(258, 354)(259, 355)(260, 356)(261, 357)(262, 358)(263, 359)(264, 360)(265, 361)(266, 362)(267, 363)(268, 364)(269, 365)(270, 366)(271, 367)(272, 368)(273, 369)(274, 370)(275, 371)(276, 372)(277, 373)(278, 374)(279, 375)(280, 376)(281, 377)(282, 378)(283, 379)(284, 380)(285, 381)(286, 382)(287, 383)(288, 384)
	L = (1, 195)(2, 199)(3, 202)(4, 204)(5, 193)(6, 209)(7, 212)(8, 194)(9, 218)(10, 221)(11, 223)(12, 226)(13, 196)(14, 231)(15, 233)(16, 197)(17, 237)(18, 198)(19, 207)(20, 244)(21, 246)(22, 224)(23, 249)(24, 200)(25, 252)(26, 254)(27, 201)(28, 259)(29, 208)(30, 243)(31, 262)(32, 203)(33, 240)(34, 260)(35, 220)(36, 267)(37, 205)(38, 270)(39, 227)(40, 206)(41, 250)(42, 257)(43, 214)(44, 215)(45, 276)(46, 266)(47, 247)(48, 256)(49, 210)(50, 255)(51, 211)(52, 216)(53, 274)(54, 263)(55, 213)(56, 281)(57, 278)(58, 222)(59, 239)(60, 283)(61, 217)(62, 234)(63, 285)(64, 269)(65, 219)(66, 287)(67, 232)(68, 229)(69, 284)(70, 235)(71, 251)(72, 248)(73, 225)(74, 272)(75, 238)(76, 228)(77, 277)(78, 288)(79, 230)(80, 268)(81, 261)(82, 236)(83, 280)(84, 241)(85, 265)(86, 245)(87, 242)(88, 253)(89, 273)(90, 286)(91, 275)(92, 264)(93, 282)(94, 279)(95, 271)(96, 258)(97, 289)(98, 290)(99, 291)(100, 292)(101, 293)(102, 294)(103, 295)(104, 296)(105, 297)(106, 298)(107, 299)(108, 300)(109, 301)(110, 302)(111, 303)(112, 304)(113, 305)(114, 306)(115, 307)(116, 308)(117, 309)(118, 310)(119, 311)(120, 312)(121, 313)(122, 314)(123, 315)(124, 316)(125, 317)(126, 318)(127, 319)(128, 320)(129, 321)(130, 322)(131, 323)(132, 324)(133, 325)(134, 326)(135, 327)(136, 328)(137, 329)(138, 330)(139, 331)(140, 332)(141, 333)(142, 334)(143, 335)(144, 336)(145, 337)(146, 338)(147, 339)(148, 340)(149, 341)(150, 342)(151, 343)(152, 344)(153, 345)(154, 346)(155, 347)(156, 348)(157, 349)(158, 350)(159, 351)(160, 352)(161, 353)(162, 354)(163, 355)(164, 356)(165, 357)(166, 358)(167, 359)(168, 360)(169, 361)(170, 362)(171, 363)(172, 364)(173, 365)(174, 366)(175, 367)(176, 368)(177, 369)(178, 370)(179, 371)(180, 372)(181, 373)(182, 374)(183, 375)(184, 376)(185, 377)(186, 378)(187, 379)(188, 380)(189, 381)(190, 382)(191, 383)(192, 384)
	local type(s) :: { ( 6, 12 ), ( 6, 12, 6, 12, 6, 12, 6, 12 ) }
Outer automorphisms :: reflexible
Dual of E13.1435
Graph:: simple bipartite
	v = 120 e = 192 f = 48
	degree seq :: [ 2^96, 8^24 ]

E13.1437 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {3, 4, 6})
Quotient :: edge
Aut^+ = C2 x ((C4 x C4) : C3) (small group id <96, 68>)
Aut   = C2 x (((C4 x C4) : C3) : C2) (small group id <192, 944>)
|r| :: 2
Presentation :: [ F^2, T1^3, T2^4, (F * T1)^2, (F * T2)^2, T2 * T1 * T2 * T1^-1 * T2^-1 * T1 * T2^-1 * T1^-1, (T2^-2 * T1)^3, T2^-2 * T1 * T2^-1 * T1 * T2^-2 * T1^-1 * T2^-1 * T1^-1, T2^-2 * T1 * T2 * T1 * T2^-2 * T1^-1 * T2 * T1^-1, (T2 * T1^-1)^6 ]
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, 66, 32)(14, 33, 68, 34)(15, 35, 72, 36)(17, 39, 76, 40)(18, 41, 78, 42)(19, 43, 80, 44)(22, 48, 59, 49)(23, 50, 37, 51)(26, 52, 85, 57)(28, 60, 88, 61)(29, 55, 87, 62)(30, 63, 86, 64)(38, 74, 58, 75)(45, 81, 67, 82)(47, 83, 65, 84)(54, 89, 70, 90)(56, 91, 69, 92)(71, 93, 79, 94)(73, 95, 77, 96)(97, 98, 100)(99, 104, 106)(101, 109, 110)(102, 111, 113)(103, 114, 115)(105, 118, 119)(107, 122, 124)(108, 125, 126)(112, 133, 134)(116, 141, 135)(117, 143, 139)(120, 148, 150)(121, 151, 152)(123, 154, 155)(127, 161, 136)(128, 163, 140)(129, 153, 165)(130, 158, 166)(131, 167, 156)(132, 169, 159)(137, 173, 157)(138, 175, 160)(142, 164, 170)(144, 174, 172)(145, 168, 176)(146, 181, 182)(147, 183, 184)(149, 171, 162)(177, 189, 185)(178, 191, 187)(179, 192, 186)(180, 190, 188)
	L = (1, 97)(2, 98)(3, 99)(4, 100)(5, 101)(6, 102)(7, 103)(8, 104)(9, 105)(10, 106)(11, 107)(12, 108)(13, 109)(14, 110)(15, 111)(16, 112)(17, 113)(18, 114)(19, 115)(20, 116)(21, 117)(22, 118)(23, 119)(24, 120)(25, 121)(26, 122)(27, 123)(28, 124)(29, 125)(30, 126)(31, 127)(32, 128)(33, 129)(34, 130)(35, 131)(36, 132)(37, 133)(38, 134)(39, 135)(40, 136)(41, 137)(42, 138)(43, 139)(44, 140)(45, 141)(46, 142)(47, 143)(48, 144)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 12^3 ), ( 12^4 ) }
Outer automorphisms :: reflexible
Dual of E13.1441
Transitivity :: ET+
Graph:: simple bipartite
	v = 56 e = 96 f = 16
	degree seq :: [ 3^32, 4^24 ]

E13.1438 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {3, 4, 6})
Quotient :: edge
Aut^+ = C2 x ((C4 x C4) : C3) (small group id <96, 68>)
Aut   = C2 x (((C4 x C4) : C3) : C2) (small group id <192, 944>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, T1^4, (T2^-1 * T1^-1)^3, (T2^-1 * T1)^3, T2^6, T2^2 * T1^-1 * T2^2 * T1^-1 * T2^-1 * T1^-1, T1 * T2^-1 * T1^-1 * T2 * T1^2 * T2^-2 * T1^-1 * T2^-1 ]
Map:: polytopal non-degenerate
	R = (1, 3, 10, 29, 16, 5)(2, 7, 20, 51, 24, 8)(4, 12, 33, 68, 36, 13)(6, 17, 43, 79, 47, 18)(9, 26, 61, 40, 64, 27)(11, 22, 55, 41, 50, 31)(14, 38, 67, 28, 66, 34)(15, 39, 57, 30, 49, 19)(21, 45, 83, 58, 78, 53)(23, 56, 85, 52, 77, 42)(25, 59, 93, 75, 82, 60)(32, 46, 84, 72, 80, 63)(35, 71, 86, 70, 81, 44)(37, 73, 76, 65, 94, 74)(48, 87, 95, 92, 62, 88)(54, 90, 69, 89, 96, 91)(97, 98, 102, 100)(99, 105, 121, 107)(101, 110, 133, 111)(103, 115, 144, 117)(104, 118, 150, 119)(106, 124, 161, 126)(108, 128, 165, 130)(109, 131, 158, 122)(112, 136, 171, 137)(113, 138, 172, 140)(114, 141, 178, 142)(116, 146, 185, 148)(120, 153, 188, 154)(123, 145, 173, 159)(125, 147, 175, 164)(127, 149, 177, 162)(129, 166, 183, 160)(132, 168, 187, 163)(134, 151, 179, 167)(135, 152, 180, 157)(139, 174, 155, 176)(143, 181, 170, 182)(156, 184, 169, 186)(189, 191, 190, 192)
	L = (1, 97)(2, 98)(3, 99)(4, 100)(5, 101)(6, 102)(7, 103)(8, 104)(9, 105)(10, 106)(11, 107)(12, 108)(13, 109)(14, 110)(15, 111)(16, 112)(17, 113)(18, 114)(19, 115)(20, 116)(21, 117)(22, 118)(23, 119)(24, 120)(25, 121)(26, 122)(27, 123)(28, 124)(29, 125)(30, 126)(31, 127)(32, 128)(33, 129)(34, 130)(35, 131)(36, 132)(37, 133)(38, 134)(39, 135)(40, 136)(41, 137)(42, 138)(43, 139)(44, 140)(45, 141)(46, 142)(47, 143)(48, 144)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 6^4 ), ( 6^6 ) }
Outer automorphisms :: reflexible
Dual of E13.1442
Transitivity :: ET+
Graph:: simple bipartite
	v = 40 e = 96 f = 32
	degree seq :: [ 4^24, 6^16 ]

E13.1439 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {3, 4, 6})
Quotient :: edge
Aut^+ = C2 x ((C4 x C4) : C3) (small group id <96, 68>)
Aut   = C2 x (((C4 x C4) : C3) : C2) (small group id <192, 944>)
|r| :: 2
Presentation :: [ F^2, T2^3, (F * T2)^2, (F * T1)^2, T1^6, T1^2 * T2 * T1^-1 * T2 * T1^-1 * T2, (T2^-1 * T1^-1)^4, (T2 * T1^-2 * T2 * T1)^2 ]
Map:: polytopal non-degenerate
	R = (1, 3, 5)(2, 7, 8)(4, 11, 13)(6, 17, 18)(9, 24, 25)(10, 26, 28)(12, 31, 32)(14, 36, 37)(15, 38, 40)(16, 41, 42)(19, 47, 48)(20, 33, 50)(21, 52, 23)(22, 53, 54)(27, 59, 60)(29, 63, 64)(30, 39, 65)(34, 66, 55)(35, 57, 67)(43, 71, 72)(44, 73, 46)(45, 74, 75)(49, 79, 80)(51, 77, 83)(56, 61, 88)(58, 90, 91)(62, 92, 68)(69, 70, 96)(76, 81, 95)(78, 89, 93)(82, 87, 84)(85, 86, 94)(97, 98, 102, 112, 108, 100)(99, 105, 119, 137, 123, 106)(101, 110, 131, 138, 135, 111)(103, 115, 142, 127, 145, 116)(104, 117, 147, 128, 122, 118)(107, 125, 133, 113, 139, 126)(109, 129, 141, 114, 140, 130)(120, 151, 183, 155, 171, 152)(121, 153, 185, 156, 134, 154)(124, 157, 181, 148, 180, 158)(132, 164, 191, 161, 190, 165)(136, 166, 175, 163, 172, 143)(144, 173, 187, 176, 149, 174)(146, 177, 184, 169, 192, 178)(150, 182, 159, 179, 188, 167)(160, 170, 186, 168, 162, 189)
	L = (1, 97)(2, 98)(3, 99)(4, 100)(5, 101)(6, 102)(7, 103)(8, 104)(9, 105)(10, 106)(11, 107)(12, 108)(13, 109)(14, 110)(15, 111)(16, 112)(17, 113)(18, 114)(19, 115)(20, 116)(21, 117)(22, 118)(23, 119)(24, 120)(25, 121)(26, 122)(27, 123)(28, 124)(29, 125)(30, 126)(31, 127)(32, 128)(33, 129)(34, 130)(35, 131)(36, 132)(37, 133)(38, 134)(39, 135)(40, 136)(41, 137)(42, 138)(43, 139)(44, 140)(45, 141)(46, 142)(47, 143)(48, 144)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 8^3 ), ( 8^6 ) }
Outer automorphisms :: reflexible
Dual of E13.1440
Transitivity :: ET+
Graph:: simple bipartite
	v = 48 e = 96 f = 24
	degree seq :: [ 3^32, 6^16 ]

E13.1440 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {3, 4, 6})
Quotient :: loop
Aut^+ = C2 x ((C4 x C4) : C3) (small group id <96, 68>)
Aut   = C2 x (((C4 x C4) : C3) : C2) (small group id <192, 944>)
|r| :: 2
Presentation :: [ F^2, T1^3, T2^4, (F * T1)^2, (F * T2)^2, T2 * T1 * T2 * T1^-1 * T2^-1 * T1 * T2^-1 * T1^-1, (T2^-2 * T1)^3, T2^-2 * T1 * T2^-1 * T1 * T2^-2 * T1^-1 * T2^-1 * T1^-1, T2^-2 * T1 * T2 * T1 * T2^-2 * T1^-1 * T2 * T1^-1, (T2 * T1^-1)^6 ]
Map:: polytopal non-degenerate
	R = (1, 97, 3, 99, 9, 105, 5, 101)(2, 98, 6, 102, 16, 112, 7, 103)(4, 100, 11, 107, 27, 123, 12, 108)(8, 104, 20, 116, 46, 142, 21, 117)(10, 106, 24, 120, 53, 149, 25, 121)(13, 109, 31, 127, 66, 162, 32, 128)(14, 110, 33, 129, 68, 164, 34, 130)(15, 111, 35, 131, 72, 168, 36, 132)(17, 113, 39, 135, 76, 172, 40, 136)(18, 114, 41, 137, 78, 174, 42, 138)(19, 115, 43, 139, 80, 176, 44, 140)(22, 118, 48, 144, 59, 155, 49, 145)(23, 119, 50, 146, 37, 133, 51, 147)(26, 122, 52, 148, 85, 181, 57, 153)(28, 124, 60, 156, 88, 184, 61, 157)(29, 125, 55, 151, 87, 183, 62, 158)(30, 126, 63, 159, 86, 182, 64, 160)(38, 134, 74, 170, 58, 154, 75, 171)(45, 141, 81, 177, 67, 163, 82, 178)(47, 143, 83, 179, 65, 161, 84, 180)(54, 150, 89, 185, 70, 166, 90, 186)(56, 152, 91, 187, 69, 165, 92, 188)(71, 167, 93, 189, 79, 175, 94, 190)(73, 169, 95, 191, 77, 173, 96, 192)
	L = (1, 98)(2, 100)(3, 104)(4, 97)(5, 109)(6, 111)(7, 114)(8, 106)(9, 118)(10, 99)(11, 122)(12, 125)(13, 110)(14, 101)(15, 113)(16, 133)(17, 102)(18, 115)(19, 103)(20, 141)(21, 143)(22, 119)(23, 105)(24, 148)(25, 151)(26, 124)(27, 154)(28, 107)(29, 126)(30, 108)(31, 161)(32, 163)(33, 153)(34, 158)(35, 167)(36, 169)(37, 134)(38, 112)(39, 116)(40, 127)(41, 173)(42, 175)(43, 117)(44, 128)(45, 135)(46, 164)(47, 139)(48, 174)(49, 168)(50, 181)(51, 183)(52, 150)(53, 171)(54, 120)(55, 152)(56, 121)(57, 165)(58, 155)(59, 123)(60, 131)(61, 137)(62, 166)(63, 132)(64, 138)(65, 136)(66, 149)(67, 140)(68, 170)(69, 129)(70, 130)(71, 156)(72, 176)(73, 159)(74, 142)(75, 162)(76, 144)(77, 157)(78, 172)(79, 160)(80, 145)(81, 189)(82, 191)(83, 192)(84, 190)(85, 182)(86, 146)(87, 184)(88, 147)(89, 177)(90, 179)(91, 178)(92, 180)(93, 185)(94, 188)(95, 187)(96, 186)
	local type(s) :: { ( 3, 6, 3, 6, 3, 6, 3, 6 ) }
Outer automorphisms :: reflexible
Dual of E13.1439
Transitivity :: ET+ VT+ AT
Graph:: simple
	v = 24 e = 96 f = 48
	degree seq :: [ 8^24 ]

E13.1441 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {3, 4, 6})
Quotient :: loop
Aut^+ = C2 x ((C4 x C4) : C3) (small group id <96, 68>)
Aut   = C2 x (((C4 x C4) : C3) : C2) (small group id <192, 944>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, T1^4, (T2^-1 * T1^-1)^3, (T2^-1 * T1)^3, T2^6, T2^2 * T1^-1 * T2^2 * T1^-1 * T2^-1 * T1^-1, T1 * T2^-1 * T1^-1 * T2 * T1^2 * T2^-2 * T1^-1 * T2^-1 ]
Map:: polytopal non-degenerate
	R = (1, 97, 3, 99, 10, 106, 29, 125, 16, 112, 5, 101)(2, 98, 7, 103, 20, 116, 51, 147, 24, 120, 8, 104)(4, 100, 12, 108, 33, 129, 68, 164, 36, 132, 13, 109)(6, 102, 17, 113, 43, 139, 79, 175, 47, 143, 18, 114)(9, 105, 26, 122, 61, 157, 40, 136, 64, 160, 27, 123)(11, 107, 22, 118, 55, 151, 41, 137, 50, 146, 31, 127)(14, 110, 38, 134, 67, 163, 28, 124, 66, 162, 34, 130)(15, 111, 39, 135, 57, 153, 30, 126, 49, 145, 19, 115)(21, 117, 45, 141, 83, 179, 58, 154, 78, 174, 53, 149)(23, 119, 56, 152, 85, 181, 52, 148, 77, 173, 42, 138)(25, 121, 59, 155, 93, 189, 75, 171, 82, 178, 60, 156)(32, 128, 46, 142, 84, 180, 72, 168, 80, 176, 63, 159)(35, 131, 71, 167, 86, 182, 70, 166, 81, 177, 44, 140)(37, 133, 73, 169, 76, 172, 65, 161, 94, 190, 74, 170)(48, 144, 87, 183, 95, 191, 92, 188, 62, 158, 88, 184)(54, 150, 90, 186, 69, 165, 89, 185, 96, 192, 91, 187)
	L = (1, 98)(2, 102)(3, 105)(4, 97)(5, 110)(6, 100)(7, 115)(8, 118)(9, 121)(10, 124)(11, 99)(12, 128)(13, 131)(14, 133)(15, 101)(16, 136)(17, 138)(18, 141)(19, 144)(20, 146)(21, 103)(22, 150)(23, 104)(24, 153)(25, 107)(26, 109)(27, 145)(28, 161)(29, 147)(30, 106)(31, 149)(32, 165)(33, 166)(34, 108)(35, 158)(36, 168)(37, 111)(38, 151)(39, 152)(40, 171)(41, 112)(42, 172)(43, 174)(44, 113)(45, 178)(46, 114)(47, 181)(48, 117)(49, 173)(50, 185)(51, 175)(52, 116)(53, 177)(54, 119)(55, 179)(56, 180)(57, 188)(58, 120)(59, 176)(60, 184)(61, 135)(62, 122)(63, 123)(64, 129)(65, 126)(66, 127)(67, 132)(68, 125)(69, 130)(70, 183)(71, 134)(72, 187)(73, 186)(74, 182)(75, 137)(76, 140)(77, 159)(78, 155)(79, 164)(80, 139)(81, 162)(82, 142)(83, 167)(84, 157)(85, 170)(86, 143)(87, 160)(88, 169)(89, 148)(90, 156)(91, 163)(92, 154)(93, 191)(94, 192)(95, 190)(96, 189)
	local type(s) :: { ( 3, 4, 3, 4, 3, 4, 3, 4, 3, 4, 3, 4 ) }
Outer automorphisms :: reflexible
Dual of E13.1437
Transitivity :: ET+ VT+ AT
Graph::
	v = 16 e = 96 f = 56
	degree seq :: [ 12^16 ]

E13.1442 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {3, 4, 6})
Quotient :: loop
Aut^+ = C2 x ((C4 x C4) : C3) (small group id <96, 68>)
Aut   = C2 x (((C4 x C4) : C3) : C2) (small group id <192, 944>)
|r| :: 2
Presentation :: [ F^2, T2^3, (F * T2)^2, (F * T1)^2, T1^6, T1^2 * T2 * T1^-1 * T2 * T1^-1 * T2, (T2^-1 * T1^-1)^4, (T2 * T1^-2 * T2 * T1)^2 ]
Map:: polytopal non-degenerate
	R = (1, 97, 3, 99, 5, 101)(2, 98, 7, 103, 8, 104)(4, 100, 11, 107, 13, 109)(6, 102, 17, 113, 18, 114)(9, 105, 24, 120, 25, 121)(10, 106, 26, 122, 28, 124)(12, 108, 31, 127, 32, 128)(14, 110, 36, 132, 37, 133)(15, 111, 38, 134, 40, 136)(16, 112, 41, 137, 42, 138)(19, 115, 47, 143, 48, 144)(20, 116, 33, 129, 50, 146)(21, 117, 52, 148, 23, 119)(22, 118, 53, 149, 54, 150)(27, 123, 59, 155, 60, 156)(29, 125, 63, 159, 64, 160)(30, 126, 39, 135, 65, 161)(34, 130, 66, 162, 55, 151)(35, 131, 57, 153, 67, 163)(43, 139, 71, 167, 72, 168)(44, 140, 73, 169, 46, 142)(45, 141, 74, 170, 75, 171)(49, 145, 79, 175, 80, 176)(51, 147, 77, 173, 83, 179)(56, 152, 61, 157, 88, 184)(58, 154, 90, 186, 91, 187)(62, 158, 92, 188, 68, 164)(69, 165, 70, 166, 96, 192)(76, 172, 81, 177, 95, 191)(78, 174, 89, 185, 93, 189)(82, 178, 87, 183, 84, 180)(85, 181, 86, 182, 94, 190)
	L = (1, 98)(2, 102)(3, 105)(4, 97)(5, 110)(6, 112)(7, 115)(8, 117)(9, 119)(10, 99)(11, 125)(12, 100)(13, 129)(14, 131)(15, 101)(16, 108)(17, 139)(18, 140)(19, 142)(20, 103)(21, 147)(22, 104)(23, 137)(24, 151)(25, 153)(26, 118)(27, 106)(28, 157)(29, 133)(30, 107)(31, 145)(32, 122)(33, 141)(34, 109)(35, 138)(36, 164)(37, 113)(38, 154)(39, 111)(40, 166)(41, 123)(42, 135)(43, 126)(44, 130)(45, 114)(46, 127)(47, 136)(48, 173)(49, 116)(50, 177)(51, 128)(52, 180)(53, 174)(54, 182)(55, 183)(56, 120)(57, 185)(58, 121)(59, 171)(60, 134)(61, 181)(62, 124)(63, 179)(64, 170)(65, 190)(66, 189)(67, 172)(68, 191)(69, 132)(70, 175)(71, 150)(72, 162)(73, 192)(74, 186)(75, 152)(76, 143)(77, 187)(78, 144)(79, 163)(80, 149)(81, 184)(82, 146)(83, 188)(84, 158)(85, 148)(86, 159)(87, 155)(88, 169)(89, 156)(90, 168)(91, 176)(92, 167)(93, 160)(94, 165)(95, 161)(96, 178)
	local type(s) :: { ( 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible
Dual of E13.1438
Transitivity :: ET+ VT+ AT
Graph:: simple bipartite
	v = 32 e = 96 f = 40
	degree seq :: [ 6^32 ]

E13.1443 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 4, 6})
Quotient :: dipole
Aut^+ = C2 x ((C4 x C4) : C3) (small group id <96, 68>)
Aut   = C2 x (((C4 x C4) : C3) : C2) (small group id <192, 944>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1^-1, Y1^2 * Y3^-1, Y2^4, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^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, Y3 * Y2 * Y1 * Y2 * Y1^-1 * Y2^-1 * Y3^-1 * Y2^-1, Y3 * Y2^-1 * Y1 * Y2 * Y1^-1 * Y2 * Y3^-1 * Y2^-1, Y1 * Y2^-2 * Y1 * Y2^-2 * Y3^-1 * Y2^-2, Y2^-2 * Y1 * Y2 * Y1 * Y2^-2 * Y1^-1 * Y2 * Y1^-1, Y2 * Y3 * Y2^-2 * Y1 * Y2 * Y3^-1 * Y2^-2 * Y1^-1, Y2^-1 * Y3 * Y2 * Y3 * Y2^-2 * Y3^-1 * Y2 * Y3^-1 * Y2^-1, Y2^-2 * Y1 * Y2^-1 * Y1 * Y2^-2 * Y1^-1 * Y2^-1 * Y1^-1, (Y3 * Y2^-1)^6 ]
Map::
	R = (1, 97, 2, 98, 4, 100)(3, 99, 8, 104, 10, 106)(5, 101, 13, 109, 14, 110)(6, 102, 15, 111, 17, 113)(7, 103, 18, 114, 19, 115)(9, 105, 22, 118, 23, 119)(11, 107, 26, 122, 28, 124)(12, 108, 29, 125, 30, 126)(16, 112, 37, 133, 38, 134)(20, 116, 45, 141, 39, 135)(21, 117, 47, 143, 43, 139)(24, 120, 52, 148, 54, 150)(25, 121, 55, 151, 56, 152)(27, 123, 58, 154, 59, 155)(31, 127, 65, 161, 40, 136)(32, 128, 67, 163, 44, 140)(33, 129, 57, 153, 69, 165)(34, 130, 62, 158, 70, 166)(35, 131, 71, 167, 60, 156)(36, 132, 73, 169, 63, 159)(41, 137, 77, 173, 61, 157)(42, 138, 79, 175, 64, 160)(46, 142, 68, 164, 74, 170)(48, 144, 78, 174, 76, 172)(49, 145, 72, 168, 80, 176)(50, 146, 85, 181, 86, 182)(51, 147, 87, 183, 88, 184)(53, 149, 75, 171, 66, 162)(81, 177, 93, 189, 89, 185)(82, 178, 95, 191, 91, 187)(83, 179, 96, 192, 90, 186)(84, 180, 94, 190, 92, 188)(193, 289, 195, 291, 201, 297, 197, 293)(194, 290, 198, 294, 208, 304, 199, 295)(196, 292, 203, 299, 219, 315, 204, 300)(200, 296, 212, 308, 238, 334, 213, 309)(202, 298, 216, 312, 245, 341, 217, 313)(205, 301, 223, 319, 258, 354, 224, 320)(206, 302, 225, 321, 260, 356, 226, 322)(207, 303, 227, 323, 264, 360, 228, 324)(209, 305, 231, 327, 268, 364, 232, 328)(210, 306, 233, 329, 270, 366, 234, 330)(211, 307, 235, 331, 272, 368, 236, 332)(214, 310, 240, 336, 251, 347, 241, 337)(215, 311, 242, 338, 229, 325, 243, 339)(218, 314, 244, 340, 277, 373, 249, 345)(220, 316, 252, 348, 280, 376, 253, 349)(221, 317, 247, 343, 279, 375, 254, 350)(222, 318, 255, 351, 278, 374, 256, 352)(230, 326, 266, 362, 250, 346, 267, 363)(237, 333, 273, 369, 259, 355, 274, 370)(239, 335, 275, 371, 257, 353, 276, 372)(246, 342, 281, 377, 262, 358, 282, 378)(248, 344, 283, 379, 261, 357, 284, 380)(263, 359, 285, 381, 271, 367, 286, 382)(265, 361, 287, 383, 269, 365, 288, 384)
	L = (1, 196)(2, 193)(3, 202)(4, 194)(5, 206)(6, 209)(7, 211)(8, 195)(9, 215)(10, 200)(11, 220)(12, 222)(13, 197)(14, 205)(15, 198)(16, 230)(17, 207)(18, 199)(19, 210)(20, 231)(21, 235)(22, 201)(23, 214)(24, 246)(25, 248)(26, 203)(27, 251)(28, 218)(29, 204)(30, 221)(31, 232)(32, 236)(33, 261)(34, 262)(35, 252)(36, 255)(37, 208)(38, 229)(39, 237)(40, 257)(41, 253)(42, 256)(43, 239)(44, 259)(45, 212)(46, 266)(47, 213)(48, 268)(49, 272)(50, 278)(51, 280)(52, 216)(53, 258)(54, 244)(55, 217)(56, 247)(57, 225)(58, 219)(59, 250)(60, 263)(61, 269)(62, 226)(63, 265)(64, 271)(65, 223)(66, 267)(67, 224)(68, 238)(69, 249)(70, 254)(71, 227)(72, 241)(73, 228)(74, 260)(75, 245)(76, 270)(77, 233)(78, 240)(79, 234)(80, 264)(81, 281)(82, 283)(83, 282)(84, 284)(85, 242)(86, 277)(87, 243)(88, 279)(89, 285)(90, 288)(91, 287)(92, 286)(93, 273)(94, 276)(95, 274)(96, 275)(97, 289)(98, 290)(99, 291)(100, 292)(101, 293)(102, 294)(103, 295)(104, 296)(105, 297)(106, 298)(107, 299)(108, 300)(109, 301)(110, 302)(111, 303)(112, 304)(113, 305)(114, 306)(115, 307)(116, 308)(117, 309)(118, 310)(119, 311)(120, 312)(121, 313)(122, 314)(123, 315)(124, 316)(125, 317)(126, 318)(127, 319)(128, 320)(129, 321)(130, 322)(131, 323)(132, 324)(133, 325)(134, 326)(135, 327)(136, 328)(137, 329)(138, 330)(139, 331)(140, 332)(141, 333)(142, 334)(143, 335)(144, 336)(145, 337)(146, 338)(147, 339)(148, 340)(149, 341)(150, 342)(151, 343)(152, 344)(153, 345)(154, 346)(155, 347)(156, 348)(157, 349)(158, 350)(159, 351)(160, 352)(161, 353)(162, 354)(163, 355)(164, 356)(165, 357)(166, 358)(167, 359)(168, 360)(169, 361)(170, 362)(171, 363)(172, 364)(173, 365)(174, 366)(175, 367)(176, 368)(177, 369)(178, 370)(179, 371)(180, 372)(181, 373)(182, 374)(183, 375)(184, 376)(185, 377)(186, 378)(187, 379)(188, 380)(189, 381)(190, 382)(191, 383)(192, 384)
	local type(s) :: { ( 2, 12, 2, 12, 2, 12 ), ( 2, 12, 2, 12, 2, 12, 2, 12 ) }
Outer automorphisms :: reflexible
Dual of E13.1446
Graph:: bipartite
	v = 56 e = 192 f = 112
	degree seq :: [ 6^32, 8^24 ]

E13.1444 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 4, 6})
Quotient :: dipole
Aut^+ = C2 x ((C4 x C4) : C3) (small group id <96, 68>)
Aut   = C2 x (((C4 x C4) : C3) : C2) (small group id <192, 944>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y2^-1, R * Y2 * R * Y3, (R * Y1)^2, Y1^4, (Y2^-1 * Y1^-1)^3, (Y2^-1 * Y1)^3, Y2^6, (Y3^-1 * Y1^-1)^3, Y2^2 * Y1^-1 * Y2^2 * Y1^-1 * Y2^-1 * Y1^-1, Y1 * Y2^-1 * Y1^-1 * Y2 * Y1^2 * Y2^-2 * Y1^-1 * Y2^-1 ]
Map::
	R = (1, 97, 2, 98, 6, 102, 4, 100)(3, 99, 9, 105, 25, 121, 11, 107)(5, 101, 14, 110, 37, 133, 15, 111)(7, 103, 19, 115, 48, 144, 21, 117)(8, 104, 22, 118, 54, 150, 23, 119)(10, 106, 28, 124, 65, 161, 30, 126)(12, 108, 32, 128, 69, 165, 34, 130)(13, 109, 35, 131, 62, 158, 26, 122)(16, 112, 40, 136, 75, 171, 41, 137)(17, 113, 42, 138, 76, 172, 44, 140)(18, 114, 45, 141, 82, 178, 46, 142)(20, 116, 50, 146, 89, 185, 52, 148)(24, 120, 57, 153, 92, 188, 58, 154)(27, 123, 49, 145, 77, 173, 63, 159)(29, 125, 51, 147, 79, 175, 68, 164)(31, 127, 53, 149, 81, 177, 66, 162)(33, 129, 70, 166, 87, 183, 64, 160)(36, 132, 72, 168, 91, 187, 67, 163)(38, 134, 55, 151, 83, 179, 71, 167)(39, 135, 56, 152, 84, 180, 61, 157)(43, 139, 78, 174, 59, 155, 80, 176)(47, 143, 85, 181, 74, 170, 86, 182)(60, 156, 88, 184, 73, 169, 90, 186)(93, 189, 95, 191, 94, 190, 96, 192)(193, 289, 195, 291, 202, 298, 221, 317, 208, 304, 197, 293)(194, 290, 199, 295, 212, 308, 243, 339, 216, 312, 200, 296)(196, 292, 204, 300, 225, 321, 260, 356, 228, 324, 205, 301)(198, 294, 209, 305, 235, 331, 271, 367, 239, 335, 210, 306)(201, 297, 218, 314, 253, 349, 232, 328, 256, 352, 219, 315)(203, 299, 214, 310, 247, 343, 233, 329, 242, 338, 223, 319)(206, 302, 230, 326, 259, 355, 220, 316, 258, 354, 226, 322)(207, 303, 231, 327, 249, 345, 222, 318, 241, 337, 211, 307)(213, 309, 237, 333, 275, 371, 250, 346, 270, 366, 245, 341)(215, 311, 248, 344, 277, 373, 244, 340, 269, 365, 234, 330)(217, 313, 251, 347, 285, 381, 267, 363, 274, 370, 252, 348)(224, 320, 238, 334, 276, 372, 264, 360, 272, 368, 255, 351)(227, 323, 263, 359, 278, 374, 262, 358, 273, 369, 236, 332)(229, 325, 265, 361, 268, 364, 257, 353, 286, 382, 266, 362)(240, 336, 279, 375, 287, 383, 284, 380, 254, 350, 280, 376)(246, 342, 282, 378, 261, 357, 281, 377, 288, 384, 283, 379)
	L = (1, 195)(2, 199)(3, 202)(4, 204)(5, 193)(6, 209)(7, 212)(8, 194)(9, 218)(10, 221)(11, 214)(12, 225)(13, 196)(14, 230)(15, 231)(16, 197)(17, 235)(18, 198)(19, 207)(20, 243)(21, 237)(22, 247)(23, 248)(24, 200)(25, 251)(26, 253)(27, 201)(28, 258)(29, 208)(30, 241)(31, 203)(32, 238)(33, 260)(34, 206)(35, 263)(36, 205)(37, 265)(38, 259)(39, 249)(40, 256)(41, 242)(42, 215)(43, 271)(44, 227)(45, 275)(46, 276)(47, 210)(48, 279)(49, 211)(50, 223)(51, 216)(52, 269)(53, 213)(54, 282)(55, 233)(56, 277)(57, 222)(58, 270)(59, 285)(60, 217)(61, 232)(62, 280)(63, 224)(64, 219)(65, 286)(66, 226)(67, 220)(68, 228)(69, 281)(70, 273)(71, 278)(72, 272)(73, 268)(74, 229)(75, 274)(76, 257)(77, 234)(78, 245)(79, 239)(80, 255)(81, 236)(82, 252)(83, 250)(84, 264)(85, 244)(86, 262)(87, 287)(88, 240)(89, 288)(90, 261)(91, 246)(92, 254)(93, 267)(94, 266)(95, 284)(96, 283)(97, 289)(98, 290)(99, 291)(100, 292)(101, 293)(102, 294)(103, 295)(104, 296)(105, 297)(106, 298)(107, 299)(108, 300)(109, 301)(110, 302)(111, 303)(112, 304)(113, 305)(114, 306)(115, 307)(116, 308)(117, 309)(118, 310)(119, 311)(120, 312)(121, 313)(122, 314)(123, 315)(124, 316)(125, 317)(126, 318)(127, 319)(128, 320)(129, 321)(130, 322)(131, 323)(132, 324)(133, 325)(134, 326)(135, 327)(136, 328)(137, 329)(138, 330)(139, 331)(140, 332)(141, 333)(142, 334)(143, 335)(144, 336)(145, 337)(146, 338)(147, 339)(148, 340)(149, 341)(150, 342)(151, 343)(152, 344)(153, 345)(154, 346)(155, 347)(156, 348)(157, 349)(158, 350)(159, 351)(160, 352)(161, 353)(162, 354)(163, 355)(164, 356)(165, 357)(166, 358)(167, 359)(168, 360)(169, 361)(170, 362)(171, 363)(172, 364)(173, 365)(174, 366)(175, 367)(176, 368)(177, 369)(178, 370)(179, 371)(180, 372)(181, 373)(182, 374)(183, 375)(184, 376)(185, 377)(186, 378)(187, 379)(188, 380)(189, 381)(190, 382)(191, 383)(192, 384)
	local type(s) :: { ( 2, 6, 2, 6, 2, 6, 2, 6 ), ( 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6 ) }
Outer automorphisms :: reflexible
Dual of E13.1445
Graph:: bipartite
	v = 40 e = 192 f = 128
	degree seq :: [ 8^24, 12^16 ]

E13.1445 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 4, 6})
Quotient :: dipole
Aut^+ = C2 x ((C4 x C4) : C3) (small group id <96, 68>)
Aut   = C2 x (((C4 x C4) : C3) : C2) (small group id <192, 944>)
|r| :: 2
Presentation :: [ Y1, R^2, Y2^3, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y3 * Y2 * Y3^-2 * Y2 * Y3 * Y2, Y3^-1 * Y2^-1 * Y3^-3 * Y2 * Y3^-2, (Y3 * Y2^-1)^4, (Y2^-1 * Y3 * Y2^-1 * Y3^-2)^2, (Y3^-1 * Y1^-1)^6 ]
Map:: polytopal
	R = (1, 97)(2, 98)(3, 99)(4, 100)(5, 101)(6, 102)(7, 103)(8, 104)(9, 105)(10, 106)(11, 107)(12, 108)(13, 109)(14, 110)(15, 111)(16, 112)(17, 113)(18, 114)(19, 115)(20, 116)(21, 117)(22, 118)(23, 119)(24, 120)(25, 121)(26, 122)(27, 123)(28, 124)(29, 125)(30, 126)(31, 127)(32, 128)(33, 129)(34, 130)(35, 131)(36, 132)(37, 133)(38, 134)(39, 135)(40, 136)(41, 137)(42, 138)(43, 139)(44, 140)(45, 141)(46, 142)(47, 143)(48, 144)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)(193, 289, 194, 290, 196, 292)(195, 291, 200, 296, 202, 298)(197, 293, 205, 301, 206, 302)(198, 294, 208, 304, 210, 306)(199, 295, 211, 307, 212, 308)(201, 297, 216, 312, 218, 314)(203, 299, 221, 317, 223, 319)(204, 300, 224, 320, 225, 321)(207, 303, 231, 327, 232, 328)(209, 305, 233, 329, 235, 331)(213, 309, 230, 326, 242, 338)(214, 310, 222, 318, 244, 340)(215, 311, 245, 341, 246, 342)(217, 313, 234, 330, 249, 345)(219, 315, 251, 347, 239, 335)(220, 316, 253, 349, 227, 323)(226, 322, 241, 337, 259, 355)(228, 324, 255, 351, 260, 356)(229, 325, 261, 357, 262, 358)(236, 332, 266, 362, 258, 354)(237, 333, 268, 364, 238, 334)(240, 336, 270, 366, 271, 367)(243, 339, 272, 368, 273, 369)(247, 343, 252, 348, 280, 376)(248, 344, 281, 377, 282, 378)(250, 346, 283, 379, 277, 373)(254, 350, 279, 375, 264, 360)(256, 352, 287, 383, 257, 353)(263, 359, 267, 363, 284, 380)(265, 361, 278, 374, 288, 384)(269, 365, 276, 372, 275, 371)(274, 370, 286, 382, 285, 381)
	L = (1, 195)(2, 198)(3, 201)(4, 203)(5, 193)(6, 209)(7, 194)(8, 214)(9, 217)(10, 219)(11, 222)(12, 196)(13, 227)(14, 229)(15, 197)(16, 218)(17, 234)(18, 236)(19, 238)(20, 240)(21, 199)(22, 243)(23, 200)(24, 247)(25, 207)(26, 250)(27, 252)(28, 202)(29, 235)(30, 249)(31, 255)(32, 257)(33, 215)(34, 204)(35, 248)(36, 205)(37, 208)(38, 206)(39, 225)(40, 254)(41, 263)(42, 213)(43, 265)(44, 267)(45, 210)(46, 264)(47, 211)(48, 221)(49, 212)(50, 269)(51, 231)(52, 274)(53, 276)(54, 278)(55, 228)(56, 216)(57, 226)(58, 230)(59, 273)(60, 232)(61, 284)(62, 220)(63, 286)(64, 223)(65, 275)(66, 224)(67, 281)(68, 288)(69, 282)(70, 272)(71, 239)(72, 233)(73, 241)(74, 277)(75, 242)(76, 285)(77, 237)(78, 279)(79, 283)(80, 266)(81, 270)(82, 258)(83, 244)(84, 262)(85, 245)(86, 251)(87, 246)(88, 268)(89, 256)(90, 271)(91, 260)(92, 287)(93, 253)(94, 259)(95, 280)(96, 261)(97, 289)(98, 290)(99, 291)(100, 292)(101, 293)(102, 294)(103, 295)(104, 296)(105, 297)(106, 298)(107, 299)(108, 300)(109, 301)(110, 302)(111, 303)(112, 304)(113, 305)(114, 306)(115, 307)(116, 308)(117, 309)(118, 310)(119, 311)(120, 312)(121, 313)(122, 314)(123, 315)(124, 316)(125, 317)(126, 318)(127, 319)(128, 320)(129, 321)(130, 322)(131, 323)(132, 324)(133, 325)(134, 326)(135, 327)(136, 328)(137, 329)(138, 330)(139, 331)(140, 332)(141, 333)(142, 334)(143, 335)(144, 336)(145, 337)(146, 338)(147, 339)(148, 340)(149, 341)(150, 342)(151, 343)(152, 344)(153, 345)(154, 346)(155, 347)(156, 348)(157, 349)(158, 350)(159, 351)(160, 352)(161, 353)(162, 354)(163, 355)(164, 356)(165, 357)(166, 358)(167, 359)(168, 360)(169, 361)(170, 362)(171, 363)(172, 364)(173, 365)(174, 366)(175, 367)(176, 368)(177, 369)(178, 370)(179, 371)(180, 372)(181, 373)(182, 374)(183, 375)(184, 376)(185, 377)(186, 378)(187, 379)(188, 380)(189, 381)(190, 382)(191, 383)(192, 384)
	local type(s) :: { ( 8, 12 ), ( 8, 12, 8, 12, 8, 12 ) }
Outer automorphisms :: reflexible
Dual of E13.1444
Graph:: simple bipartite
	v = 128 e = 192 f = 40
	degree seq :: [ 2^96, 6^32 ]

E13.1446 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 4, 6})
Quotient :: dipole
Aut^+ = C2 x ((C4 x C4) : C3) (small group id <96, 68>)
Aut   = C2 x (((C4 x C4) : C3) : C2) (small group id <192, 944>)
|r| :: 2
Presentation :: [ Y2, R^2, Y3^3, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, (Y3 * Y2^-1)^3, Y1^6, Y1 * Y3^-1 * Y1^-2 * Y3^-1 * Y1 * Y3^-1, (Y3^-1 * Y1^-1)^4, (Y3 * Y1^-2 * Y3 * Y1)^2 ]
Map:: polytopal
	R = (1, 97, 2, 98, 6, 102, 16, 112, 12, 108, 4, 100)(3, 99, 9, 105, 23, 119, 41, 137, 27, 123, 10, 106)(5, 101, 14, 110, 35, 131, 42, 138, 39, 135, 15, 111)(7, 103, 19, 115, 46, 142, 31, 127, 49, 145, 20, 116)(8, 104, 21, 117, 51, 147, 32, 128, 26, 122, 22, 118)(11, 107, 29, 125, 37, 133, 17, 113, 43, 139, 30, 126)(13, 109, 33, 129, 45, 141, 18, 114, 44, 140, 34, 130)(24, 120, 55, 151, 87, 183, 59, 155, 75, 171, 56, 152)(25, 121, 57, 153, 89, 185, 60, 156, 38, 134, 58, 154)(28, 124, 61, 157, 85, 181, 52, 148, 84, 180, 62, 158)(36, 132, 68, 164, 95, 191, 65, 161, 94, 190, 69, 165)(40, 136, 70, 166, 79, 175, 67, 163, 76, 172, 47, 143)(48, 144, 77, 173, 91, 187, 80, 176, 53, 149, 78, 174)(50, 146, 81, 177, 88, 184, 73, 169, 96, 192, 82, 178)(54, 150, 86, 182, 63, 159, 83, 179, 92, 188, 71, 167)(64, 160, 74, 170, 90, 186, 72, 168, 66, 162, 93, 189)(193, 289)(194, 290)(195, 291)(196, 292)(197, 293)(198, 294)(199, 295)(200, 296)(201, 297)(202, 298)(203, 299)(204, 300)(205, 301)(206, 302)(207, 303)(208, 304)(209, 305)(210, 306)(211, 307)(212, 308)(213, 309)(214, 310)(215, 311)(216, 312)(217, 313)(218, 314)(219, 315)(220, 316)(221, 317)(222, 318)(223, 319)(224, 320)(225, 321)(226, 322)(227, 323)(228, 324)(229, 325)(230, 326)(231, 327)(232, 328)(233, 329)(234, 330)(235, 331)(236, 332)(237, 333)(238, 334)(239, 335)(240, 336)(241, 337)(242, 338)(243, 339)(244, 340)(245, 341)(246, 342)(247, 343)(248, 344)(249, 345)(250, 346)(251, 347)(252, 348)(253, 349)(254, 350)(255, 351)(256, 352)(257, 353)(258, 354)(259, 355)(260, 356)(261, 357)(262, 358)(263, 359)(264, 360)(265, 361)(266, 362)(267, 363)(268, 364)(269, 365)(270, 366)(271, 367)(272, 368)(273, 369)(274, 370)(275, 371)(276, 372)(277, 373)(278, 374)(279, 375)(280, 376)(281, 377)(282, 378)(283, 379)(284, 380)(285, 381)(286, 382)(287, 383)(288, 384)
	L = (1, 195)(2, 199)(3, 197)(4, 203)(5, 193)(6, 209)(7, 200)(8, 194)(9, 216)(10, 218)(11, 205)(12, 223)(13, 196)(14, 228)(15, 230)(16, 233)(17, 210)(18, 198)(19, 239)(20, 225)(21, 244)(22, 245)(23, 213)(24, 217)(25, 201)(26, 220)(27, 251)(28, 202)(29, 255)(30, 231)(31, 224)(32, 204)(33, 242)(34, 258)(35, 249)(36, 229)(37, 206)(38, 232)(39, 257)(40, 207)(41, 234)(42, 208)(43, 263)(44, 265)(45, 266)(46, 236)(47, 240)(48, 211)(49, 271)(50, 212)(51, 269)(52, 215)(53, 246)(54, 214)(55, 226)(56, 253)(57, 259)(58, 282)(59, 252)(60, 219)(61, 280)(62, 284)(63, 256)(64, 221)(65, 222)(66, 247)(67, 227)(68, 254)(69, 262)(70, 288)(71, 264)(72, 235)(73, 238)(74, 267)(75, 237)(76, 273)(77, 275)(78, 281)(79, 272)(80, 241)(81, 287)(82, 279)(83, 243)(84, 274)(85, 278)(86, 286)(87, 276)(88, 248)(89, 285)(90, 283)(91, 250)(92, 260)(93, 270)(94, 277)(95, 268)(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) :: { ( 6, 8 ), ( 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8 ) }
Outer automorphisms :: reflexible
Dual of E13.1443
Graph:: simple bipartite
	v = 112 e = 192 f = 56
	degree seq :: [ 2^96, 12^16 ]

E13.1447 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 4, 6})
Quotient :: dipole
Aut^+ = C2 x ((C4 x C4) : C3) (small group id <96, 68>)
Aut   = C2 x (((C4 x C4) : C3) : C2) (small group id <192, 944>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1^-1, Y3 * Y1^-2, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y2^6, Y1 * Y2^-1 * Y1 * Y2^-1 * Y3^-1 * Y2^2, Y1 * Y2^-1 * Y1 * Y2^2 * Y3^-1 * Y2^-1, (Y3 * Y2^-1)^4, Y3 * Y2^2 * Y3 * Y2^2 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 ]
Map::
	R = (1, 97, 2, 98, 4, 100)(3, 99, 8, 104, 10, 106)(5, 101, 13, 109, 14, 110)(6, 102, 16, 112, 18, 114)(7, 103, 19, 115, 20, 116)(9, 105, 24, 120, 26, 122)(11, 107, 29, 125, 31, 127)(12, 108, 32, 128, 33, 129)(15, 111, 39, 135, 40, 136)(17, 113, 27, 123, 44, 140)(21, 117, 49, 145, 50, 146)(22, 118, 51, 147, 53, 149)(23, 119, 37, 133, 54, 150)(25, 121, 43, 139, 57, 153)(28, 124, 61, 157, 62, 158)(30, 126, 45, 141, 65, 161)(34, 130, 67, 163, 36, 132)(35, 131, 68, 164, 69, 165)(38, 134, 70, 166, 41, 137)(42, 138, 47, 143, 72, 168)(46, 142, 77, 173, 78, 174)(48, 144, 79, 175, 63, 159)(52, 148, 58, 154, 81, 177)(55, 151, 86, 182, 87, 183)(56, 152, 88, 184, 89, 185)(59, 155, 90, 186, 73, 169)(60, 156, 82, 178, 91, 187)(64, 160, 66, 162, 94, 190)(71, 167, 74, 170, 85, 181)(75, 171, 92, 188, 95, 191)(76, 172, 96, 192, 83, 179)(80, 176, 84, 180, 93, 189)(193, 289, 195, 291, 201, 297, 217, 313, 207, 303, 197, 293)(194, 290, 198, 294, 209, 305, 235, 331, 213, 309, 199, 295)(196, 292, 203, 299, 222, 318, 249, 345, 226, 322, 204, 300)(200, 296, 214, 310, 244, 340, 231, 327, 247, 343, 215, 311)(202, 298, 219, 315, 252, 348, 232, 328, 211, 307, 220, 316)(205, 301, 227, 323, 223, 319, 216, 312, 248, 344, 228, 324)(206, 302, 229, 325, 251, 347, 218, 314, 250, 346, 230, 326)(208, 304, 233, 329, 263, 359, 241, 337, 265, 361, 234, 330)(210, 306, 237, 333, 268, 364, 242, 338, 224, 320, 238, 334)(212, 308, 239, 335, 267, 363, 236, 332, 266, 362, 240, 336)(221, 317, 255, 351, 285, 381, 259, 355, 287, 383, 256, 352)(225, 321, 258, 354, 278, 374, 257, 353, 272, 368, 243, 339)(245, 341, 274, 370, 270, 366, 279, 375, 253, 349, 275, 371)(246, 342, 276, 372, 264, 360, 273, 369, 286, 382, 277, 373)(254, 350, 284, 380, 260, 356, 283, 379, 271, 367, 280, 376)(261, 357, 282, 378, 269, 365, 281, 377, 262, 358, 288, 384)
	L = (1, 196)(2, 193)(3, 202)(4, 194)(5, 206)(6, 210)(7, 212)(8, 195)(9, 218)(10, 200)(11, 223)(12, 225)(13, 197)(14, 205)(15, 232)(16, 198)(17, 236)(18, 208)(19, 199)(20, 211)(21, 242)(22, 245)(23, 246)(24, 201)(25, 249)(26, 216)(27, 209)(28, 254)(29, 203)(30, 257)(31, 221)(32, 204)(33, 224)(34, 228)(35, 261)(36, 259)(37, 215)(38, 233)(39, 207)(40, 231)(41, 262)(42, 264)(43, 217)(44, 219)(45, 222)(46, 270)(47, 234)(48, 255)(49, 213)(50, 241)(51, 214)(52, 273)(53, 243)(54, 229)(55, 279)(56, 281)(57, 235)(58, 244)(59, 265)(60, 283)(61, 220)(62, 253)(63, 271)(64, 286)(65, 237)(66, 256)(67, 226)(68, 227)(69, 260)(70, 230)(71, 277)(72, 239)(73, 282)(74, 263)(75, 287)(76, 275)(77, 238)(78, 269)(79, 240)(80, 285)(81, 250)(82, 252)(83, 288)(84, 272)(85, 266)(86, 247)(87, 278)(88, 248)(89, 280)(90, 251)(91, 274)(92, 267)(93, 276)(94, 258)(95, 284)(96, 268)(97, 289)(98, 290)(99, 291)(100, 292)(101, 293)(102, 294)(103, 295)(104, 296)(105, 297)(106, 298)(107, 299)(108, 300)(109, 301)(110, 302)(111, 303)(112, 304)(113, 305)(114, 306)(115, 307)(116, 308)(117, 309)(118, 310)(119, 311)(120, 312)(121, 313)(122, 314)(123, 315)(124, 316)(125, 317)(126, 318)(127, 319)(128, 320)(129, 321)(130, 322)(131, 323)(132, 324)(133, 325)(134, 326)(135, 327)(136, 328)(137, 329)(138, 330)(139, 331)(140, 332)(141, 333)(142, 334)(143, 335)(144, 336)(145, 337)(146, 338)(147, 339)(148, 340)(149, 341)(150, 342)(151, 343)(152, 344)(153, 345)(154, 346)(155, 347)(156, 348)(157, 349)(158, 350)(159, 351)(160, 352)(161, 353)(162, 354)(163, 355)(164, 356)(165, 357)(166, 358)(167, 359)(168, 360)(169, 361)(170, 362)(171, 363)(172, 364)(173, 365)(174, 366)(175, 367)(176, 368)(177, 369)(178, 370)(179, 371)(180, 372)(181, 373)(182, 374)(183, 375)(184, 376)(185, 377)(186, 378)(187, 379)(188, 380)(189, 381)(190, 382)(191, 383)(192, 384)
	local type(s) :: { ( 2, 8, 2, 8, 2, 8 ), ( 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8 ) }
Outer automorphisms :: reflexible
Dual of E13.1448
Graph:: bipartite
	v = 48 e = 192 f = 120
	degree seq :: [ 6^32, 12^16 ]

E13.1448 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 4, 6})
Quotient :: dipole
Aut^+ = C2 x ((C4 x C4) : C3) (small group id <96, 68>)
Aut   = C2 x (((C4 x C4) : C3) : C2) (small group id <192, 944>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y3)^2, (R * Y1)^2, Y1^4, (R * Y2 * Y3^-1)^2, (Y3^-1 * Y1^-1)^3, (Y3^-1 * Y1)^3, Y1 * Y3^-1 * Y1^-1 * Y3 * Y1^-1 * Y3^-1 * Y1 * Y3, Y3^-2 * Y1^-1 * Y3 * Y1^-1 * Y3^-2 * Y1^-1, Y3^3 * Y1 * Y3^-3 * Y1^-1, (Y3 * Y2^-1)^6 ]
Map:: polytopal
	R = (1, 97, 2, 98, 6, 102, 4, 100)(3, 99, 9, 105, 25, 121, 11, 107)(5, 101, 14, 110, 37, 133, 15, 111)(7, 103, 19, 115, 48, 144, 21, 117)(8, 104, 22, 118, 54, 150, 23, 119)(10, 106, 28, 124, 65, 161, 30, 126)(12, 108, 32, 128, 69, 165, 34, 130)(13, 109, 35, 131, 62, 158, 26, 122)(16, 112, 40, 136, 75, 171, 41, 137)(17, 113, 42, 138, 76, 172, 44, 140)(18, 114, 45, 141, 82, 178, 46, 142)(20, 116, 50, 146, 89, 185, 52, 148)(24, 120, 57, 153, 92, 188, 58, 154)(27, 123, 49, 145, 77, 173, 63, 159)(29, 125, 51, 147, 79, 175, 68, 164)(31, 127, 53, 149, 81, 177, 66, 162)(33, 129, 70, 166, 87, 183, 64, 160)(36, 132, 72, 168, 91, 187, 67, 163)(38, 134, 55, 151, 83, 179, 71, 167)(39, 135, 56, 152, 84, 180, 61, 157)(43, 139, 78, 174, 59, 155, 80, 176)(47, 143, 85, 181, 74, 170, 86, 182)(60, 156, 88, 184, 73, 169, 90, 186)(93, 189, 95, 191, 94, 190, 96, 192)(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, 212)(8, 194)(9, 218)(10, 221)(11, 214)(12, 225)(13, 196)(14, 230)(15, 231)(16, 197)(17, 235)(18, 198)(19, 207)(20, 243)(21, 237)(22, 247)(23, 248)(24, 200)(25, 251)(26, 253)(27, 201)(28, 258)(29, 208)(30, 241)(31, 203)(32, 238)(33, 260)(34, 206)(35, 263)(36, 205)(37, 265)(38, 259)(39, 249)(40, 256)(41, 242)(42, 215)(43, 271)(44, 227)(45, 275)(46, 276)(47, 210)(48, 279)(49, 211)(50, 223)(51, 216)(52, 269)(53, 213)(54, 282)(55, 233)(56, 277)(57, 222)(58, 270)(59, 285)(60, 217)(61, 232)(62, 280)(63, 224)(64, 219)(65, 286)(66, 226)(67, 220)(68, 228)(69, 281)(70, 273)(71, 278)(72, 272)(73, 268)(74, 229)(75, 274)(76, 257)(77, 234)(78, 245)(79, 239)(80, 255)(81, 236)(82, 252)(83, 250)(84, 264)(85, 244)(86, 262)(87, 287)(88, 240)(89, 288)(90, 261)(91, 246)(92, 254)(93, 267)(94, 266)(95, 284)(96, 283)(97, 289)(98, 290)(99, 291)(100, 292)(101, 293)(102, 294)(103, 295)(104, 296)(105, 297)(106, 298)(107, 299)(108, 300)(109, 301)(110, 302)(111, 303)(112, 304)(113, 305)(114, 306)(115, 307)(116, 308)(117, 309)(118, 310)(119, 311)(120, 312)(121, 313)(122, 314)(123, 315)(124, 316)(125, 317)(126, 318)(127, 319)(128, 320)(129, 321)(130, 322)(131, 323)(132, 324)(133, 325)(134, 326)(135, 327)(136, 328)(137, 329)(138, 330)(139, 331)(140, 332)(141, 333)(142, 334)(143, 335)(144, 336)(145, 337)(146, 338)(147, 339)(148, 340)(149, 341)(150, 342)(151, 343)(152, 344)(153, 345)(154, 346)(155, 347)(156, 348)(157, 349)(158, 350)(159, 351)(160, 352)(161, 353)(162, 354)(163, 355)(164, 356)(165, 357)(166, 358)(167, 359)(168, 360)(169, 361)(170, 362)(171, 363)(172, 364)(173, 365)(174, 366)(175, 367)(176, 368)(177, 369)(178, 370)(179, 371)(180, 372)(181, 373)(182, 374)(183, 375)(184, 376)(185, 377)(186, 378)(187, 379)(188, 380)(189, 381)(190, 382)(191, 383)(192, 384)
	local type(s) :: { ( 6, 12 ), ( 6, 12, 6, 12, 6, 12, 6, 12 ) }
Outer automorphisms :: reflexible
Dual of E13.1447
Graph:: simple bipartite
	v = 120 e = 192 f = 48
	degree seq :: [ 2^96, 8^24 ]

E13.1449 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {3, 4, 6})
Quotient :: edge
Aut^+ = ((C2 x C2 x C2 x C2) : C3) : C2 (small group id <96, 70>)
Aut   = (((C2 x C2 x C2 x C2) : C3) : C2) : C2 (small group id <192, 955>)
|r| :: 2
Presentation :: [ F^2, T1^3, (F * T1)^2, (F * T2)^2, T2^4, (T2 * T1 * T2 * T1^-1)^2, (T2^-1, T1^-1)^2, (T2^-2 * T1)^3, T2 * T1^-1 * T2^-2 * T1 * T2 * T1 * T2^-2 * T1^-1, T2^-2 * T1 * T2^-1 * T1 * T2^-2 * T1^-1 * T2^-1 * T1^-1, (T2 * T1^-1)^6 ]
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, 66, 32)(14, 33, 68, 34)(15, 35, 72, 36)(17, 39, 76, 40)(18, 41, 78, 42)(19, 43, 80, 44)(22, 48, 59, 49)(23, 50, 37, 51)(26, 57, 85, 55)(28, 60, 88, 61)(29, 62, 87, 52)(30, 63, 86, 64)(38, 74, 58, 75)(45, 81, 67, 82)(47, 83, 65, 84)(54, 89, 70, 90)(56, 91, 69, 92)(71, 93, 79, 94)(73, 95, 77, 96)(97, 98, 100)(99, 104, 106)(101, 109, 110)(102, 111, 113)(103, 114, 115)(105, 118, 119)(107, 122, 124)(108, 125, 126)(112, 133, 134)(116, 141, 140)(117, 143, 136)(120, 148, 150)(121, 151, 152)(123, 154, 155)(127, 161, 139)(128, 163, 135)(129, 158, 165)(130, 153, 166)(131, 167, 160)(132, 169, 157)(137, 173, 159)(138, 175, 156)(142, 164, 170)(144, 174, 172)(145, 168, 176)(146, 181, 182)(147, 183, 184)(149, 171, 162)(177, 190, 188)(178, 192, 186)(179, 191, 187)(180, 189, 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) :: { ( 12^3 ), ( 12^4 ) }
Outer automorphisms :: reflexible
Dual of E13.1453
Transitivity :: ET+
Graph:: simple bipartite
	v = 56 e = 96 f = 16
	degree seq :: [ 3^32, 4^24 ]

E13.1450 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {3, 4, 6})
Quotient :: edge
Aut^+ = ((C2 x C2 x C2 x C2) : C3) : C2 (small group id <96, 70>)
Aut   = (((C2 x C2 x C2 x C2) : C3) : C2) : C2 (small group id <192, 955>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, T1^4, (T2 * T1)^3, (T2^-1 * T1)^3, T2^6, (T2, T1^-1)^2, (T2 * T1^-1 * T2^-1 * T1^-1)^2, (T2^3 * T1^-1)^2, (T2^-3 * T1^-1)^2, (T2^-1, T1^-1)^2 ]
Map:: polytopal non-degenerate
	R = (1, 3, 10, 29, 16, 5)(2, 7, 20, 51, 24, 8)(4, 12, 33, 66, 36, 13)(6, 17, 43, 79, 47, 18)(9, 26, 61, 41, 64, 27)(11, 22, 55, 40, 52, 31)(14, 38, 67, 30, 63, 34)(15, 39, 58, 28, 49, 19)(21, 45, 83, 57, 80, 53)(23, 56, 86, 50, 77, 42)(25, 59, 93, 75, 82, 60)(32, 46, 84, 72, 78, 68)(35, 71, 85, 70, 81, 44)(37, 73, 76, 65, 94, 74)(48, 87, 95, 92, 62, 88)(54, 90, 69, 89, 96, 91)(97, 98, 102, 100)(99, 105, 121, 107)(101, 110, 133, 111)(103, 115, 144, 117)(104, 118, 150, 119)(106, 124, 161, 126)(108, 128, 165, 130)(109, 131, 158, 122)(112, 136, 171, 137)(113, 138, 172, 140)(114, 141, 178, 142)(116, 146, 185, 148)(120, 153, 188, 154)(123, 159, 173, 149)(125, 162, 175, 147)(127, 164, 177, 145)(129, 160, 183, 166)(132, 163, 187, 168)(134, 157, 179, 152)(135, 167, 180, 151)(139, 174, 155, 176)(143, 181, 170, 182)(156, 184, 169, 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) :: { ( 6^4 ), ( 6^6 ) }
Outer automorphisms :: reflexible
Dual of E13.1454
Transitivity :: ET+
Graph:: simple bipartite
	v = 40 e = 96 f = 32
	degree seq :: [ 4^24, 6^16 ]

E13.1451 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {3, 4, 6})
Quotient :: edge
Aut^+ = ((C2 x C2 x C2 x C2) : C3) : C2 (small group id <96, 70>)
Aut   = (((C2 x C2 x C2 x C2) : C3) : C2) : C2 (small group id <192, 955>)
|r| :: 2
Presentation :: [ F^2, T2^3, (F * T1)^2, (F * T2)^2, (T1 * T2^-1 * T1)^2, T1^6, (T1, T2^-1)^2, (T2^-1 * T1^-1)^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, 30)(14, 33, 34)(15, 35, 37)(16, 38, 39)(19, 44, 45)(20, 46, 47)(21, 48, 49)(22, 50, 52)(23, 53, 36)(28, 60, 58)(31, 63, 64)(32, 65, 54)(40, 73, 74)(41, 75, 76)(42, 77, 78)(43, 66, 51)(55, 88, 69)(56, 89, 72)(57, 90, 70)(59, 91, 67)(61, 93, 84)(62, 80, 92)(68, 71, 96)(79, 94, 85)(81, 95, 86)(82, 87, 83)(97, 98, 102, 112, 108, 100)(99, 105, 119, 138, 114, 106)(101, 110, 125, 157, 132, 111)(103, 115, 139, 168, 135, 116)(104, 117, 107, 124, 147, 118)(109, 127, 134, 167, 162, 128)(113, 136, 149, 158, 126, 137)(120, 150, 183, 192, 174, 151)(121, 152, 122, 153, 178, 143)(123, 154, 173, 144, 179, 155)(129, 163, 181, 145, 180, 146)(130, 164, 131, 159, 190, 165)(133, 166, 189, 185, 175, 140)(141, 176, 142, 177, 186, 172)(148, 182, 156, 188, 187, 169)(160, 170, 161, 171, 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) :: { ( 8^3 ), ( 8^6 ) }
Outer automorphisms :: reflexible
Dual of E13.1452
Transitivity :: ET+
Graph:: simple bipartite
	v = 48 e = 96 f = 24
	degree seq :: [ 3^32, 6^16 ]

E13.1452 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {3, 4, 6})
Quotient :: loop
Aut^+ = ((C2 x C2 x C2 x C2) : C3) : C2 (small group id <96, 70>)
Aut   = (((C2 x C2 x C2 x C2) : C3) : C2) : C2 (small group id <192, 955>)
|r| :: 2
Presentation :: [ F^2, T1^3, (F * T1)^2, (F * T2)^2, T2^4, (T2 * T1 * T2 * T1^-1)^2, (T2^-1, T1^-1)^2, (T2^-2 * T1)^3, T2 * T1^-1 * T2^-2 * T1 * T2 * T1 * T2^-2 * T1^-1, T2^-2 * T1 * T2^-1 * T1 * T2^-2 * T1^-1 * T2^-1 * T1^-1, (T2 * T1^-1)^6 ]
Map:: polytopal non-degenerate
	R = (1, 97, 3, 99, 9, 105, 5, 101)(2, 98, 6, 102, 16, 112, 7, 103)(4, 100, 11, 107, 27, 123, 12, 108)(8, 104, 20, 116, 46, 142, 21, 117)(10, 106, 24, 120, 53, 149, 25, 121)(13, 109, 31, 127, 66, 162, 32, 128)(14, 110, 33, 129, 68, 164, 34, 130)(15, 111, 35, 131, 72, 168, 36, 132)(17, 113, 39, 135, 76, 172, 40, 136)(18, 114, 41, 137, 78, 174, 42, 138)(19, 115, 43, 139, 80, 176, 44, 140)(22, 118, 48, 144, 59, 155, 49, 145)(23, 119, 50, 146, 37, 133, 51, 147)(26, 122, 57, 153, 85, 181, 55, 151)(28, 124, 60, 156, 88, 184, 61, 157)(29, 125, 62, 158, 87, 183, 52, 148)(30, 126, 63, 159, 86, 182, 64, 160)(38, 134, 74, 170, 58, 154, 75, 171)(45, 141, 81, 177, 67, 163, 82, 178)(47, 143, 83, 179, 65, 161, 84, 180)(54, 150, 89, 185, 70, 166, 90, 186)(56, 152, 91, 187, 69, 165, 92, 188)(71, 167, 93, 189, 79, 175, 94, 190)(73, 169, 95, 191, 77, 173, 96, 192)
	L = (1, 98)(2, 100)(3, 104)(4, 97)(5, 109)(6, 111)(7, 114)(8, 106)(9, 118)(10, 99)(11, 122)(12, 125)(13, 110)(14, 101)(15, 113)(16, 133)(17, 102)(18, 115)(19, 103)(20, 141)(21, 143)(22, 119)(23, 105)(24, 148)(25, 151)(26, 124)(27, 154)(28, 107)(29, 126)(30, 108)(31, 161)(32, 163)(33, 158)(34, 153)(35, 167)(36, 169)(37, 134)(38, 112)(39, 128)(40, 117)(41, 173)(42, 175)(43, 127)(44, 116)(45, 140)(46, 164)(47, 136)(48, 174)(49, 168)(50, 181)(51, 183)(52, 150)(53, 171)(54, 120)(55, 152)(56, 121)(57, 166)(58, 155)(59, 123)(60, 138)(61, 132)(62, 165)(63, 137)(64, 131)(65, 139)(66, 149)(67, 135)(68, 170)(69, 129)(70, 130)(71, 160)(72, 176)(73, 157)(74, 142)(75, 162)(76, 144)(77, 159)(78, 172)(79, 156)(80, 145)(81, 190)(82, 192)(83, 191)(84, 189)(85, 182)(86, 146)(87, 184)(88, 147)(89, 180)(90, 178)(91, 179)(92, 177)(93, 185)(94, 188)(95, 187)(96, 186)
	local type(s) :: { ( 3, 6, 3, 6, 3, 6, 3, 6 ) }
Outer automorphisms :: reflexible
Dual of E13.1451
Transitivity :: ET+ VT+ AT
Graph:: simple
	v = 24 e = 96 f = 48
	degree seq :: [ 8^24 ]

E13.1453 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {3, 4, 6})
Quotient :: loop
Aut^+ = ((C2 x C2 x C2 x C2) : C3) : C2 (small group id <96, 70>)
Aut   = (((C2 x C2 x C2 x C2) : C3) : C2) : C2 (small group id <192, 955>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, T1^4, (T2 * T1)^3, (T2^-1 * T1)^3, T2^6, (T2, T1^-1)^2, (T2 * T1^-1 * T2^-1 * T1^-1)^2, (T2^3 * T1^-1)^2, (T2^-3 * T1^-1)^2, (T2^-1, T1^-1)^2 ]
Map:: polytopal non-degenerate
	R = (1, 97, 3, 99, 10, 106, 29, 125, 16, 112, 5, 101)(2, 98, 7, 103, 20, 116, 51, 147, 24, 120, 8, 104)(4, 100, 12, 108, 33, 129, 66, 162, 36, 132, 13, 109)(6, 102, 17, 113, 43, 139, 79, 175, 47, 143, 18, 114)(9, 105, 26, 122, 61, 157, 41, 137, 64, 160, 27, 123)(11, 107, 22, 118, 55, 151, 40, 136, 52, 148, 31, 127)(14, 110, 38, 134, 67, 163, 30, 126, 63, 159, 34, 130)(15, 111, 39, 135, 58, 154, 28, 124, 49, 145, 19, 115)(21, 117, 45, 141, 83, 179, 57, 153, 80, 176, 53, 149)(23, 119, 56, 152, 86, 182, 50, 146, 77, 173, 42, 138)(25, 121, 59, 155, 93, 189, 75, 171, 82, 178, 60, 156)(32, 128, 46, 142, 84, 180, 72, 168, 78, 174, 68, 164)(35, 131, 71, 167, 85, 181, 70, 166, 81, 177, 44, 140)(37, 133, 73, 169, 76, 172, 65, 161, 94, 190, 74, 170)(48, 144, 87, 183, 95, 191, 92, 188, 62, 158, 88, 184)(54, 150, 90, 186, 69, 165, 89, 185, 96, 192, 91, 187)
	L = (1, 98)(2, 102)(3, 105)(4, 97)(5, 110)(6, 100)(7, 115)(8, 118)(9, 121)(10, 124)(11, 99)(12, 128)(13, 131)(14, 133)(15, 101)(16, 136)(17, 138)(18, 141)(19, 144)(20, 146)(21, 103)(22, 150)(23, 104)(24, 153)(25, 107)(26, 109)(27, 159)(28, 161)(29, 162)(30, 106)(31, 164)(32, 165)(33, 160)(34, 108)(35, 158)(36, 163)(37, 111)(38, 157)(39, 167)(40, 171)(41, 112)(42, 172)(43, 174)(44, 113)(45, 178)(46, 114)(47, 181)(48, 117)(49, 127)(50, 185)(51, 125)(52, 116)(53, 123)(54, 119)(55, 135)(56, 134)(57, 188)(58, 120)(59, 176)(60, 184)(61, 179)(62, 122)(63, 173)(64, 183)(65, 126)(66, 175)(67, 187)(68, 177)(69, 130)(70, 129)(71, 180)(72, 132)(73, 186)(74, 182)(75, 137)(76, 140)(77, 149)(78, 155)(79, 147)(80, 139)(81, 145)(82, 142)(83, 152)(84, 151)(85, 170)(86, 143)(87, 166)(88, 169)(89, 148)(90, 156)(91, 168)(92, 154)(93, 192)(94, 191)(95, 189)(96, 190)
	local type(s) :: { ( 3, 4, 3, 4, 3, 4, 3, 4, 3, 4, 3, 4 ) }
Outer automorphisms :: reflexible
Dual of E13.1449
Transitivity :: ET+ VT+ AT
Graph::
	v = 16 e = 96 f = 56
	degree seq :: [ 12^16 ]

E13.1454 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {3, 4, 6})
Quotient :: loop
Aut^+ = ((C2 x C2 x C2 x C2) : C3) : C2 (small group id <96, 70>)
Aut   = (((C2 x C2 x C2 x C2) : C3) : C2) : C2 (small group id <192, 955>)
|r| :: 2
Presentation :: [ F^2, T2^3, (F * T1)^2, (F * T2)^2, (T1 * T2^-1 * T1)^2, T1^6, (T1, T2^-1)^2, (T2^-1 * T1^-1)^4 ]
Map:: polytopal non-degenerate
	R = (1, 97, 3, 99, 5, 101)(2, 98, 7, 103, 8, 104)(4, 100, 11, 107, 13, 109)(6, 102, 17, 113, 18, 114)(9, 105, 24, 120, 25, 121)(10, 106, 26, 122, 27, 123)(12, 108, 29, 125, 30, 126)(14, 110, 33, 129, 34, 130)(15, 111, 35, 131, 37, 133)(16, 112, 38, 134, 39, 135)(19, 115, 44, 140, 45, 141)(20, 116, 46, 142, 47, 143)(21, 117, 48, 144, 49, 145)(22, 118, 50, 146, 52, 148)(23, 119, 53, 149, 36, 132)(28, 124, 60, 156, 58, 154)(31, 127, 63, 159, 64, 160)(32, 128, 65, 161, 54, 150)(40, 136, 73, 169, 74, 170)(41, 137, 75, 171, 76, 172)(42, 138, 77, 173, 78, 174)(43, 139, 66, 162, 51, 147)(55, 151, 88, 184, 69, 165)(56, 152, 89, 185, 72, 168)(57, 153, 90, 186, 70, 166)(59, 155, 91, 187, 67, 163)(61, 157, 93, 189, 84, 180)(62, 158, 80, 176, 92, 188)(68, 164, 71, 167, 96, 192)(79, 175, 94, 190, 85, 181)(81, 177, 95, 191, 86, 182)(82, 178, 87, 183, 83, 179)
	L = (1, 98)(2, 102)(3, 105)(4, 97)(5, 110)(6, 112)(7, 115)(8, 117)(9, 119)(10, 99)(11, 124)(12, 100)(13, 127)(14, 125)(15, 101)(16, 108)(17, 136)(18, 106)(19, 139)(20, 103)(21, 107)(22, 104)(23, 138)(24, 150)(25, 152)(26, 153)(27, 154)(28, 147)(29, 157)(30, 137)(31, 134)(32, 109)(33, 163)(34, 164)(35, 159)(36, 111)(37, 166)(38, 167)(39, 116)(40, 149)(41, 113)(42, 114)(43, 168)(44, 133)(45, 176)(46, 177)(47, 121)(48, 179)(49, 180)(50, 129)(51, 118)(52, 182)(53, 158)(54, 183)(55, 120)(56, 122)(57, 178)(58, 173)(59, 123)(60, 188)(61, 132)(62, 126)(63, 190)(64, 170)(65, 171)(66, 128)(67, 181)(68, 131)(69, 130)(70, 189)(71, 162)(72, 135)(73, 148)(74, 161)(75, 184)(76, 141)(77, 144)(78, 151)(79, 140)(80, 142)(81, 186)(82, 143)(83, 155)(84, 146)(85, 145)(86, 156)(87, 192)(88, 191)(89, 175)(90, 172)(91, 169)(92, 187)(93, 185)(94, 165)(95, 160)(96, 174)
	local type(s) :: { ( 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible
Dual of E13.1450
Transitivity :: ET+ VT+ AT
Graph:: simple bipartite
	v = 32 e = 96 f = 40
	degree seq :: [ 6^32 ]

E13.1455 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 4, 6})
Quotient :: dipole
Aut^+ = ((C2 x C2 x C2 x C2) : C3) : C2 (small group id <96, 70>)
Aut   = (((C2 x C2 x C2 x C2) : C3) : C2) : C2 (small group id <192, 955>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1^-1, Y1^2 * Y3^-1, (R * Y1)^2, (R * Y3)^2, Y2^4, (R * Y2 * Y3^-1)^2, Y2 * Y1 * Y2 * Y3 * Y2 * Y3^-1 * Y2 * Y1^-1, Y3 * Y2 * Y1 * Y2^-1 * Y1^-1 * Y2 * Y3^-1 * Y2^-1, Y3 * Y2^-1 * Y1 * Y2^-1 * Y1^-1 * Y2^-1 * Y3^-1 * Y2^-1, Y2 * Y1 * Y2^-1 * Y3 * Y2 * Y3^-1 * Y2^-1 * Y1^-1, Y1 * Y2^-2 * Y1 * Y2^-2 * Y3^-1 * Y2^-2, Y2^-2 * Y1 * Y2 * Y1 * Y2^-2 * Y1^-1 * Y2 * Y1^-1, Y2 * Y3 * Y2^-2 * Y1 * Y2 * Y3^-1 * Y2^-2 * Y1^-1, Y2^-1 * Y3 * Y2 * Y3 * Y2^-2 * Y3^-1 * Y2 * Y3^-1 * Y2^-1, Y2^-2 * Y1 * Y2^-1 * Y1 * Y2^-2 * Y1^-1 * Y2^-1 * Y1^-1, (Y3 * Y2^-1)^6 ]
Map::
	R = (1, 97, 2, 98, 4, 100)(3, 99, 8, 104, 10, 106)(5, 101, 13, 109, 14, 110)(6, 102, 15, 111, 17, 113)(7, 103, 18, 114, 19, 115)(9, 105, 22, 118, 23, 119)(11, 107, 26, 122, 28, 124)(12, 108, 29, 125, 30, 126)(16, 112, 37, 133, 38, 134)(20, 116, 45, 141, 44, 140)(21, 117, 47, 143, 40, 136)(24, 120, 52, 148, 54, 150)(25, 121, 55, 151, 56, 152)(27, 123, 58, 154, 59, 155)(31, 127, 65, 161, 43, 139)(32, 128, 67, 163, 39, 135)(33, 129, 62, 158, 69, 165)(34, 130, 57, 153, 70, 166)(35, 131, 71, 167, 64, 160)(36, 132, 73, 169, 61, 157)(41, 137, 77, 173, 63, 159)(42, 138, 79, 175, 60, 156)(46, 142, 68, 164, 74, 170)(48, 144, 78, 174, 76, 172)(49, 145, 72, 168, 80, 176)(50, 146, 85, 181, 86, 182)(51, 147, 87, 183, 88, 184)(53, 149, 75, 171, 66, 162)(81, 177, 94, 190, 92, 188)(82, 178, 96, 192, 90, 186)(83, 179, 95, 191, 91, 187)(84, 180, 93, 189, 89, 185)(193, 289, 195, 291, 201, 297, 197, 293)(194, 290, 198, 294, 208, 304, 199, 295)(196, 292, 203, 299, 219, 315, 204, 300)(200, 296, 212, 308, 238, 334, 213, 309)(202, 298, 216, 312, 245, 341, 217, 313)(205, 301, 223, 319, 258, 354, 224, 320)(206, 302, 225, 321, 260, 356, 226, 322)(207, 303, 227, 323, 264, 360, 228, 324)(209, 305, 231, 327, 268, 364, 232, 328)(210, 306, 233, 329, 270, 366, 234, 330)(211, 307, 235, 331, 272, 368, 236, 332)(214, 310, 240, 336, 251, 347, 241, 337)(215, 311, 242, 338, 229, 325, 243, 339)(218, 314, 249, 345, 277, 373, 247, 343)(220, 316, 252, 348, 280, 376, 253, 349)(221, 317, 254, 350, 279, 375, 244, 340)(222, 318, 255, 351, 278, 374, 256, 352)(230, 326, 266, 362, 250, 346, 267, 363)(237, 333, 273, 369, 259, 355, 274, 370)(239, 335, 275, 371, 257, 353, 276, 372)(246, 342, 281, 377, 262, 358, 282, 378)(248, 344, 283, 379, 261, 357, 284, 380)(263, 359, 285, 381, 271, 367, 286, 382)(265, 361, 287, 383, 269, 365, 288, 384)
	L = (1, 196)(2, 193)(3, 202)(4, 194)(5, 206)(6, 209)(7, 211)(8, 195)(9, 215)(10, 200)(11, 220)(12, 222)(13, 197)(14, 205)(15, 198)(16, 230)(17, 207)(18, 199)(19, 210)(20, 236)(21, 232)(22, 201)(23, 214)(24, 246)(25, 248)(26, 203)(27, 251)(28, 218)(29, 204)(30, 221)(31, 235)(32, 231)(33, 261)(34, 262)(35, 256)(36, 253)(37, 208)(38, 229)(39, 259)(40, 239)(41, 255)(42, 252)(43, 257)(44, 237)(45, 212)(46, 266)(47, 213)(48, 268)(49, 272)(50, 278)(51, 280)(52, 216)(53, 258)(54, 244)(55, 217)(56, 247)(57, 226)(58, 219)(59, 250)(60, 271)(61, 265)(62, 225)(63, 269)(64, 263)(65, 223)(66, 267)(67, 224)(68, 238)(69, 254)(70, 249)(71, 227)(72, 241)(73, 228)(74, 260)(75, 245)(76, 270)(77, 233)(78, 240)(79, 234)(80, 264)(81, 284)(82, 282)(83, 283)(84, 281)(85, 242)(86, 277)(87, 243)(88, 279)(89, 285)(90, 288)(91, 287)(92, 286)(93, 276)(94, 273)(95, 275)(96, 274)(97, 289)(98, 290)(99, 291)(100, 292)(101, 293)(102, 294)(103, 295)(104, 296)(105, 297)(106, 298)(107, 299)(108, 300)(109, 301)(110, 302)(111, 303)(112, 304)(113, 305)(114, 306)(115, 307)(116, 308)(117, 309)(118, 310)(119, 311)(120, 312)(121, 313)(122, 314)(123, 315)(124, 316)(125, 317)(126, 318)(127, 319)(128, 320)(129, 321)(130, 322)(131, 323)(132, 324)(133, 325)(134, 326)(135, 327)(136, 328)(137, 329)(138, 330)(139, 331)(140, 332)(141, 333)(142, 334)(143, 335)(144, 336)(145, 337)(146, 338)(147, 339)(148, 340)(149, 341)(150, 342)(151, 343)(152, 344)(153, 345)(154, 346)(155, 347)(156, 348)(157, 349)(158, 350)(159, 351)(160, 352)(161, 353)(162, 354)(163, 355)(164, 356)(165, 357)(166, 358)(167, 359)(168, 360)(169, 361)(170, 362)(171, 363)(172, 364)(173, 365)(174, 366)(175, 367)(176, 368)(177, 369)(178, 370)(179, 371)(180, 372)(181, 373)(182, 374)(183, 375)(184, 376)(185, 377)(186, 378)(187, 379)(188, 380)(189, 381)(190, 382)(191, 383)(192, 384)
	local type(s) :: { ( 2, 12, 2, 12, 2, 12 ), ( 2, 12, 2, 12, 2, 12, 2, 12 ) }
Outer automorphisms :: reflexible
Dual of E13.1458
Graph:: bipartite
	v = 56 e = 192 f = 112
	degree seq :: [ 6^32, 8^24 ]

E13.1456 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 4, 6})
Quotient :: dipole
Aut^+ = ((C2 x C2 x C2 x C2) : C3) : C2 (small group id <96, 70>)
Aut   = (((C2 x C2 x C2 x C2) : C3) : C2) : C2 (small group id <192, 955>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y2^-1, R * Y2 * R * Y3, (R * Y1)^2, Y1^4, Y2^6, (Y2^-1 * Y1^-1)^3, Y2^6, (Y3^-1 * Y1^-1)^3, (Y2^-1 * Y1)^3, (Y2, Y1^-1)^2, (Y2^-1, Y1^-1)^2, Y2^2 * Y1 * Y2^2 * Y1^-1 * Y2^-1 * Y1^-1, Y2^-1 * Y1^-1 * Y2^3 * Y1^-1 * Y2^-2 ]
Map::
	R = (1, 97, 2, 98, 6, 102, 4, 100)(3, 99, 9, 105, 25, 121, 11, 107)(5, 101, 14, 110, 37, 133, 15, 111)(7, 103, 19, 115, 48, 144, 21, 117)(8, 104, 22, 118, 54, 150, 23, 119)(10, 106, 28, 124, 65, 161, 30, 126)(12, 108, 32, 128, 69, 165, 34, 130)(13, 109, 35, 131, 62, 158, 26, 122)(16, 112, 40, 136, 75, 171, 41, 137)(17, 113, 42, 138, 76, 172, 44, 140)(18, 114, 45, 141, 82, 178, 46, 142)(20, 116, 50, 146, 89, 185, 52, 148)(24, 120, 57, 153, 92, 188, 58, 154)(27, 123, 63, 159, 77, 173, 53, 149)(29, 125, 66, 162, 79, 175, 51, 147)(31, 127, 68, 164, 81, 177, 49, 145)(33, 129, 64, 160, 87, 183, 70, 166)(36, 132, 67, 163, 91, 187, 72, 168)(38, 134, 61, 157, 83, 179, 56, 152)(39, 135, 71, 167, 84, 180, 55, 151)(43, 139, 78, 174, 59, 155, 80, 176)(47, 143, 85, 181, 74, 170, 86, 182)(60, 156, 88, 184, 73, 169, 90, 186)(93, 189, 96, 192, 94, 190, 95, 191)(193, 289, 195, 291, 202, 298, 221, 317, 208, 304, 197, 293)(194, 290, 199, 295, 212, 308, 243, 339, 216, 312, 200, 296)(196, 292, 204, 300, 225, 321, 258, 354, 228, 324, 205, 301)(198, 294, 209, 305, 235, 331, 271, 367, 239, 335, 210, 306)(201, 297, 218, 314, 253, 349, 233, 329, 256, 352, 219, 315)(203, 299, 214, 310, 247, 343, 232, 328, 244, 340, 223, 319)(206, 302, 230, 326, 259, 355, 222, 318, 255, 351, 226, 322)(207, 303, 231, 327, 250, 346, 220, 316, 241, 337, 211, 307)(213, 309, 237, 333, 275, 371, 249, 345, 272, 368, 245, 341)(215, 311, 248, 344, 278, 374, 242, 338, 269, 365, 234, 330)(217, 313, 251, 347, 285, 381, 267, 363, 274, 370, 252, 348)(224, 320, 238, 334, 276, 372, 264, 360, 270, 366, 260, 356)(227, 323, 263, 359, 277, 373, 262, 358, 273, 369, 236, 332)(229, 325, 265, 361, 268, 364, 257, 353, 286, 382, 266, 362)(240, 336, 279, 375, 287, 383, 284, 380, 254, 350, 280, 376)(246, 342, 282, 378, 261, 357, 281, 377, 288, 384, 283, 379)
	L = (1, 195)(2, 199)(3, 202)(4, 204)(5, 193)(6, 209)(7, 212)(8, 194)(9, 218)(10, 221)(11, 214)(12, 225)(13, 196)(14, 230)(15, 231)(16, 197)(17, 235)(18, 198)(19, 207)(20, 243)(21, 237)(22, 247)(23, 248)(24, 200)(25, 251)(26, 253)(27, 201)(28, 241)(29, 208)(30, 255)(31, 203)(32, 238)(33, 258)(34, 206)(35, 263)(36, 205)(37, 265)(38, 259)(39, 250)(40, 244)(41, 256)(42, 215)(43, 271)(44, 227)(45, 275)(46, 276)(47, 210)(48, 279)(49, 211)(50, 269)(51, 216)(52, 223)(53, 213)(54, 282)(55, 232)(56, 278)(57, 272)(58, 220)(59, 285)(60, 217)(61, 233)(62, 280)(63, 226)(64, 219)(65, 286)(66, 228)(67, 222)(68, 224)(69, 281)(70, 273)(71, 277)(72, 270)(73, 268)(74, 229)(75, 274)(76, 257)(77, 234)(78, 260)(79, 239)(80, 245)(81, 236)(82, 252)(83, 249)(84, 264)(85, 262)(86, 242)(87, 287)(88, 240)(89, 288)(90, 261)(91, 246)(92, 254)(93, 267)(94, 266)(95, 284)(96, 283)(97, 289)(98, 290)(99, 291)(100, 292)(101, 293)(102, 294)(103, 295)(104, 296)(105, 297)(106, 298)(107, 299)(108, 300)(109, 301)(110, 302)(111, 303)(112, 304)(113, 305)(114, 306)(115, 307)(116, 308)(117, 309)(118, 310)(119, 311)(120, 312)(121, 313)(122, 314)(123, 315)(124, 316)(125, 317)(126, 318)(127, 319)(128, 320)(129, 321)(130, 322)(131, 323)(132, 324)(133, 325)(134, 326)(135, 327)(136, 328)(137, 329)(138, 330)(139, 331)(140, 332)(141, 333)(142, 334)(143, 335)(144, 336)(145, 337)(146, 338)(147, 339)(148, 340)(149, 341)(150, 342)(151, 343)(152, 344)(153, 345)(154, 346)(155, 347)(156, 348)(157, 349)(158, 350)(159, 351)(160, 352)(161, 353)(162, 354)(163, 355)(164, 356)(165, 357)(166, 358)(167, 359)(168, 360)(169, 361)(170, 362)(171, 363)(172, 364)(173, 365)(174, 366)(175, 367)(176, 368)(177, 369)(178, 370)(179, 371)(180, 372)(181, 373)(182, 374)(183, 375)(184, 376)(185, 377)(186, 378)(187, 379)(188, 380)(189, 381)(190, 382)(191, 383)(192, 384)
	local type(s) :: { ( 2, 6, 2, 6, 2, 6, 2, 6 ), ( 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6 ) }
Outer automorphisms :: reflexible
Dual of E13.1457
Graph:: bipartite
	v = 40 e = 192 f = 128
	degree seq :: [ 8^24, 12^16 ]

E13.1457 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 4, 6})
Quotient :: dipole
Aut^+ = ((C2 x C2 x C2 x C2) : C3) : C2 (small group id <96, 70>)
Aut   = (((C2 x C2 x C2 x C2) : C3) : C2) : C2 (small group id <192, 955>)
|r| :: 2
Presentation :: [ Y1, R^2, Y2^3, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, (Y3^-2 * Y2^-1)^2, Y3^6, Y3 * Y2 * Y3^-4 * Y2 * Y3, (Y3 * Y2^-1)^4, (Y3^-1, Y2^-1)^2, (Y3^-1 * Y1^-1)^6 ]
Map:: polytopal
	R = (1, 97)(2, 98)(3, 99)(4, 100)(5, 101)(6, 102)(7, 103)(8, 104)(9, 105)(10, 106)(11, 107)(12, 108)(13, 109)(14, 110)(15, 111)(16, 112)(17, 113)(18, 114)(19, 115)(20, 116)(21, 117)(22, 118)(23, 119)(24, 120)(25, 121)(26, 122)(27, 123)(28, 124)(29, 125)(30, 126)(31, 127)(32, 128)(33, 129)(34, 130)(35, 131)(36, 132)(37, 133)(38, 134)(39, 135)(40, 136)(41, 137)(42, 138)(43, 139)(44, 140)(45, 141)(46, 142)(47, 143)(48, 144)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)(193, 289, 194, 290, 196, 292)(195, 291, 200, 296, 202, 298)(197, 293, 205, 301, 206, 302)(198, 294, 208, 304, 210, 306)(199, 295, 211, 307, 212, 308)(201, 297, 216, 312, 218, 314)(203, 299, 221, 317, 223, 319)(204, 300, 224, 320, 225, 321)(207, 303, 229, 325, 209, 305)(213, 309, 238, 334, 222, 318)(214, 310, 239, 335, 240, 336)(215, 311, 241, 337, 234, 330)(217, 313, 244, 340, 245, 341)(219, 315, 248, 344, 236, 332)(220, 316, 250, 346, 251, 347)(226, 322, 258, 354, 237, 333)(227, 323, 253, 349, 259, 355)(228, 324, 255, 351, 261, 357)(230, 326, 263, 359, 264, 360)(231, 327, 265, 361, 254, 350)(232, 328, 267, 363, 268, 364)(233, 329, 269, 365, 256, 352)(235, 331, 271, 367, 257, 353)(242, 338, 260, 356, 249, 345)(243, 339, 277, 373, 274, 370)(246, 342, 279, 375, 276, 372)(247, 343, 280, 376, 281, 377)(252, 348, 278, 374, 285, 381)(262, 358, 288, 384, 282, 378)(266, 362, 272, 368, 270, 366)(273, 369, 286, 382, 283, 379)(275, 371, 287, 383, 284, 380)
	L = (1, 195)(2, 198)(3, 201)(4, 203)(5, 193)(6, 209)(7, 194)(8, 214)(9, 217)(10, 219)(11, 222)(12, 196)(13, 226)(14, 228)(15, 197)(16, 230)(17, 232)(18, 233)(19, 235)(20, 237)(21, 199)(22, 206)(23, 200)(24, 204)(25, 207)(26, 246)(27, 249)(28, 202)(29, 252)(30, 243)(31, 253)(32, 255)(33, 257)(34, 245)(35, 205)(36, 242)(37, 247)(38, 212)(39, 208)(40, 213)(41, 270)(42, 210)(43, 268)(44, 211)(45, 266)(46, 262)(47, 267)(48, 273)(49, 275)(50, 215)(51, 216)(52, 220)(53, 264)(54, 238)(55, 218)(56, 282)(57, 278)(58, 221)(59, 284)(60, 225)(61, 286)(62, 223)(63, 274)(64, 224)(65, 283)(66, 279)(67, 281)(68, 227)(69, 288)(70, 229)(71, 277)(72, 260)(73, 287)(74, 231)(75, 234)(76, 285)(77, 276)(78, 239)(79, 280)(80, 236)(81, 256)(82, 240)(83, 261)(84, 241)(85, 254)(86, 244)(87, 259)(88, 248)(89, 265)(90, 251)(91, 250)(92, 271)(93, 272)(94, 263)(95, 258)(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) :: { ( 8, 12 ), ( 8, 12, 8, 12, 8, 12 ) }
Outer automorphisms :: reflexible
Dual of E13.1456
Graph:: simple bipartite
	v = 128 e = 192 f = 40
	degree seq :: [ 2^96, 6^32 ]

E13.1458 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 4, 6})
Quotient :: dipole
Aut^+ = ((C2 x C2 x C2 x C2) : C3) : C2 (small group id <96, 70>)
Aut   = (((C2 x C2 x C2 x C2) : C3) : C2) : C2 (small group id <192, 955>)
|r| :: 2
Presentation :: [ Y2, R^2, Y3^3, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, (Y1 * Y3^-1 * Y1)^2, (Y3 * Y2^-1)^3, Y1^6, Y1^2 * Y3^-1 * Y1^-4 * Y3^-1, (Y3^-1, Y1^-1)^2, (Y3^-1 * Y1^-1)^4 ]
Map:: polytopal
	R = (1, 97, 2, 98, 6, 102, 16, 112, 12, 108, 4, 100)(3, 99, 9, 105, 23, 119, 42, 138, 18, 114, 10, 106)(5, 101, 14, 110, 29, 125, 61, 157, 36, 132, 15, 111)(7, 103, 19, 115, 43, 139, 72, 168, 39, 135, 20, 116)(8, 104, 21, 117, 11, 107, 28, 124, 51, 147, 22, 118)(13, 109, 31, 127, 38, 134, 71, 167, 66, 162, 32, 128)(17, 113, 40, 136, 53, 149, 62, 158, 30, 126, 41, 137)(24, 120, 54, 150, 87, 183, 96, 192, 78, 174, 55, 151)(25, 121, 56, 152, 26, 122, 57, 153, 82, 178, 47, 143)(27, 123, 58, 154, 77, 173, 48, 144, 83, 179, 59, 155)(33, 129, 67, 163, 85, 181, 49, 145, 84, 180, 50, 146)(34, 130, 68, 164, 35, 131, 63, 159, 94, 190, 69, 165)(37, 133, 70, 166, 93, 189, 89, 185, 79, 175, 44, 140)(45, 141, 80, 176, 46, 142, 81, 177, 90, 186, 76, 172)(52, 148, 86, 182, 60, 156, 92, 188, 91, 187, 73, 169)(64, 160, 74, 170, 65, 161, 75, 171, 88, 184, 95, 191)(193, 289)(194, 290)(195, 291)(196, 292)(197, 293)(198, 294)(199, 295)(200, 296)(201, 297)(202, 298)(203, 299)(204, 300)(205, 301)(206, 302)(207, 303)(208, 304)(209, 305)(210, 306)(211, 307)(212, 308)(213, 309)(214, 310)(215, 311)(216, 312)(217, 313)(218, 314)(219, 315)(220, 316)(221, 317)(222, 318)(223, 319)(224, 320)(225, 321)(226, 322)(227, 323)(228, 324)(229, 325)(230, 326)(231, 327)(232, 328)(233, 329)(234, 330)(235, 331)(236, 332)(237, 333)(238, 334)(239, 335)(240, 336)(241, 337)(242, 338)(243, 339)(244, 340)(245, 341)(246, 342)(247, 343)(248, 344)(249, 345)(250, 346)(251, 347)(252, 348)(253, 349)(254, 350)(255, 351)(256, 352)(257, 353)(258, 354)(259, 355)(260, 356)(261, 357)(262, 358)(263, 359)(264, 360)(265, 361)(266, 362)(267, 363)(268, 364)(269, 365)(270, 366)(271, 367)(272, 368)(273, 369)(274, 370)(275, 371)(276, 372)(277, 373)(278, 374)(279, 375)(280, 376)(281, 377)(282, 378)(283, 379)(284, 380)(285, 381)(286, 382)(287, 383)(288, 384)
	L = (1, 195)(2, 199)(3, 197)(4, 203)(5, 193)(6, 209)(7, 200)(8, 194)(9, 216)(10, 218)(11, 205)(12, 221)(13, 196)(14, 225)(15, 227)(16, 230)(17, 210)(18, 198)(19, 236)(20, 238)(21, 240)(22, 242)(23, 245)(24, 217)(25, 201)(26, 219)(27, 202)(28, 252)(29, 222)(30, 204)(31, 255)(32, 257)(33, 226)(34, 206)(35, 229)(36, 215)(37, 207)(38, 231)(39, 208)(40, 265)(41, 267)(42, 269)(43, 258)(44, 237)(45, 211)(46, 239)(47, 212)(48, 241)(49, 213)(50, 244)(51, 235)(52, 214)(53, 228)(54, 224)(55, 280)(56, 281)(57, 282)(58, 220)(59, 283)(60, 250)(61, 285)(62, 272)(63, 256)(64, 223)(65, 246)(66, 243)(67, 251)(68, 263)(69, 247)(70, 249)(71, 288)(72, 248)(73, 266)(74, 232)(75, 268)(76, 233)(77, 270)(78, 234)(79, 286)(80, 284)(81, 287)(82, 279)(83, 274)(84, 253)(85, 271)(86, 273)(87, 275)(88, 261)(89, 264)(90, 262)(91, 259)(92, 254)(93, 276)(94, 277)(95, 278)(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) :: { ( 6, 8 ), ( 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8 ) }
Outer automorphisms :: reflexible
Dual of E13.1455
Graph:: simple bipartite
	v = 112 e = 192 f = 56
	degree seq :: [ 2^96, 12^16 ]

E13.1459 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 4, 6})
Quotient :: dipole
Aut^+ = ((C2 x C2 x C2 x C2) : C3) : C2 (small group id <96, 70>)
Aut   = (((C2 x C2 x C2 x C2) : C3) : C2) : C2 (small group id <192, 955>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1^-1, Y1^2 * Y3^-1, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y2^-2 * Y1 * Y2^-2 * Y3^-1, Y2^6, (Y3 * Y2^-1)^4, Y2 * Y1 * Y2^-1 * Y3 * Y2 * Y3^-1 * Y2^-1 * Y1^-1, Y2^-1 * Y3 * Y2 * Y1 * Y2^-1 * Y1^-1 * Y2 * Y3^-1, Y1 * Y2^2 * Y1 * Y2^2 * Y3^-1 * Y2^2 ]
Map::
	R = (1, 97, 2, 98, 4, 100)(3, 99, 8, 104, 10, 106)(5, 101, 13, 109, 14, 110)(6, 102, 16, 112, 18, 114)(7, 103, 19, 115, 20, 116)(9, 105, 24, 120, 21, 117)(11, 107, 28, 124, 30, 126)(12, 108, 31, 127, 32, 128)(15, 111, 29, 125, 37, 133)(17, 113, 40, 136, 33, 129)(22, 118, 47, 143, 49, 145)(23, 119, 50, 146, 43, 139)(25, 121, 54, 150, 51, 147)(26, 122, 55, 151, 56, 152)(27, 123, 57, 153, 58, 154)(34, 130, 66, 162, 45, 141)(35, 131, 64, 160, 67, 163)(36, 132, 68, 164, 38, 134)(39, 135, 72, 168, 63, 159)(41, 137, 74, 170, 73, 169)(42, 138, 75, 171, 76, 172)(44, 140, 78, 174, 65, 161)(46, 142, 79, 175, 60, 156)(48, 144, 69, 165, 59, 155)(52, 148, 85, 181, 86, 182)(53, 149, 87, 183, 83, 179)(61, 157, 92, 188, 89, 185)(62, 158, 88, 184, 93, 189)(70, 166, 82, 178, 95, 191)(71, 167, 80, 176, 77, 173)(81, 177, 94, 190, 90, 186)(84, 180, 96, 192, 91, 187)(193, 289, 195, 291, 201, 297, 217, 313, 207, 303, 197, 293)(194, 290, 198, 294, 209, 305, 233, 329, 213, 309, 199, 295)(196, 292, 203, 299, 221, 317, 253, 349, 225, 321, 204, 300)(200, 296, 214, 310, 240, 336, 268, 364, 243, 339, 215, 311)(202, 298, 218, 314, 205, 301, 226, 322, 251, 347, 219, 315)(206, 302, 227, 323, 246, 342, 280, 376, 261, 357, 228, 324)(208, 304, 230, 326, 263, 359, 285, 381, 265, 361, 231, 327)(210, 306, 234, 330, 211, 307, 236, 332, 269, 365, 235, 331)(212, 308, 237, 333, 266, 362, 247, 343, 272, 368, 238, 334)(216, 312, 244, 340, 232, 328, 262, 358, 229, 325, 245, 341)(220, 316, 252, 348, 282, 378, 248, 344, 281, 377, 249, 345)(222, 318, 254, 350, 223, 319, 256, 352, 286, 382, 255, 351)(224, 320, 257, 353, 284, 380, 267, 363, 273, 369, 239, 335)(241, 337, 274, 370, 242, 338, 276, 372, 270, 366, 275, 371)(250, 346, 283, 379, 258, 354, 287, 383, 271, 367, 277, 373)(259, 355, 278, 374, 260, 356, 279, 375, 264, 360, 288, 384)
	L = (1, 196)(2, 193)(3, 202)(4, 194)(5, 206)(6, 210)(7, 212)(8, 195)(9, 213)(10, 200)(11, 222)(12, 224)(13, 197)(14, 205)(15, 229)(16, 198)(17, 225)(18, 208)(19, 199)(20, 211)(21, 216)(22, 241)(23, 235)(24, 201)(25, 243)(26, 248)(27, 250)(28, 203)(29, 207)(30, 220)(31, 204)(32, 223)(33, 232)(34, 237)(35, 259)(36, 230)(37, 221)(38, 260)(39, 255)(40, 209)(41, 265)(42, 268)(43, 242)(44, 257)(45, 258)(46, 252)(47, 214)(48, 251)(49, 239)(50, 215)(51, 246)(52, 278)(53, 275)(54, 217)(55, 218)(56, 247)(57, 219)(58, 249)(59, 261)(60, 271)(61, 281)(62, 285)(63, 264)(64, 227)(65, 270)(66, 226)(67, 256)(68, 228)(69, 240)(70, 287)(71, 269)(72, 231)(73, 266)(74, 233)(75, 234)(76, 267)(77, 272)(78, 236)(79, 238)(80, 263)(81, 282)(82, 262)(83, 279)(84, 283)(85, 244)(86, 277)(87, 245)(88, 254)(89, 284)(90, 286)(91, 288)(92, 253)(93, 280)(94, 273)(95, 274)(96, 276)(97, 289)(98, 290)(99, 291)(100, 292)(101, 293)(102, 294)(103, 295)(104, 296)(105, 297)(106, 298)(107, 299)(108, 300)(109, 301)(110, 302)(111, 303)(112, 304)(113, 305)(114, 306)(115, 307)(116, 308)(117, 309)(118, 310)(119, 311)(120, 312)(121, 313)(122, 314)(123, 315)(124, 316)(125, 317)(126, 318)(127, 319)(128, 320)(129, 321)(130, 322)(131, 323)(132, 324)(133, 325)(134, 326)(135, 327)(136, 328)(137, 329)(138, 330)(139, 331)(140, 332)(141, 333)(142, 334)(143, 335)(144, 336)(145, 337)(146, 338)(147, 339)(148, 340)(149, 341)(150, 342)(151, 343)(152, 344)(153, 345)(154, 346)(155, 347)(156, 348)(157, 349)(158, 350)(159, 351)(160, 352)(161, 353)(162, 354)(163, 355)(164, 356)(165, 357)(166, 358)(167, 359)(168, 360)(169, 361)(170, 362)(171, 363)(172, 364)(173, 365)(174, 366)(175, 367)(176, 368)(177, 369)(178, 370)(179, 371)(180, 372)(181, 373)(182, 374)(183, 375)(184, 376)(185, 377)(186, 378)(187, 379)(188, 380)(189, 381)(190, 382)(191, 383)(192, 384)
	local type(s) :: { ( 2, 8, 2, 8, 2, 8 ), ( 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8 ) }
Outer automorphisms :: reflexible
Dual of E13.1460
Graph:: bipartite
	v = 48 e = 192 f = 120
	degree seq :: [ 6^32, 12^16 ]

E13.1460 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 4, 6})
Quotient :: dipole
Aut^+ = ((C2 x C2 x C2 x C2) : C3) : C2 (small group id <96, 70>)
Aut   = (((C2 x C2 x C2 x C2) : C3) : C2) : C2 (small group id <192, 955>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y3)^2, (R * Y1)^2, Y1^4, (R * Y2 * Y3^-1)^2, (Y3 * Y1)^3, Y3^6, (Y3^-1 * Y1)^3, (Y3^-1, Y1^-1)^2, (Y3^3 * Y1^-1)^2, (Y3 * Y1^-1 * Y3^-1 * Y1^-1)^2, (Y3^-1, Y1^-1)^2, (Y3 * Y2^-1)^6 ]
Map:: polytopal
	R = (1, 97, 2, 98, 6, 102, 4, 100)(3, 99, 9, 105, 25, 121, 11, 107)(5, 101, 14, 110, 37, 133, 15, 111)(7, 103, 19, 115, 48, 144, 21, 117)(8, 104, 22, 118, 54, 150, 23, 119)(10, 106, 28, 124, 65, 161, 30, 126)(12, 108, 32, 128, 69, 165, 34, 130)(13, 109, 35, 131, 62, 158, 26, 122)(16, 112, 40, 136, 75, 171, 41, 137)(17, 113, 42, 138, 76, 172, 44, 140)(18, 114, 45, 141, 82, 178, 46, 142)(20, 116, 50, 146, 89, 185, 52, 148)(24, 120, 57, 153, 92, 188, 58, 154)(27, 123, 63, 159, 77, 173, 53, 149)(29, 125, 66, 162, 79, 175, 51, 147)(31, 127, 68, 164, 81, 177, 49, 145)(33, 129, 64, 160, 87, 183, 70, 166)(36, 132, 67, 163, 91, 187, 72, 168)(38, 134, 61, 157, 83, 179, 56, 152)(39, 135, 71, 167, 84, 180, 55, 151)(43, 139, 78, 174, 59, 155, 80, 176)(47, 143, 85, 181, 74, 170, 86, 182)(60, 156, 88, 184, 73, 169, 90, 186)(93, 189, 96, 192, 94, 190, 95, 191)(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, 212)(8, 194)(9, 218)(10, 221)(11, 214)(12, 225)(13, 196)(14, 230)(15, 231)(16, 197)(17, 235)(18, 198)(19, 207)(20, 243)(21, 237)(22, 247)(23, 248)(24, 200)(25, 251)(26, 253)(27, 201)(28, 241)(29, 208)(30, 255)(31, 203)(32, 238)(33, 258)(34, 206)(35, 263)(36, 205)(37, 265)(38, 259)(39, 250)(40, 244)(41, 256)(42, 215)(43, 271)(44, 227)(45, 275)(46, 276)(47, 210)(48, 279)(49, 211)(50, 269)(51, 216)(52, 223)(53, 213)(54, 282)(55, 232)(56, 278)(57, 272)(58, 220)(59, 285)(60, 217)(61, 233)(62, 280)(63, 226)(64, 219)(65, 286)(66, 228)(67, 222)(68, 224)(69, 281)(70, 273)(71, 277)(72, 270)(73, 268)(74, 229)(75, 274)(76, 257)(77, 234)(78, 260)(79, 239)(80, 245)(81, 236)(82, 252)(83, 249)(84, 264)(85, 262)(86, 242)(87, 287)(88, 240)(89, 288)(90, 261)(91, 246)(92, 254)(93, 267)(94, 266)(95, 284)(96, 283)(97, 289)(98, 290)(99, 291)(100, 292)(101, 293)(102, 294)(103, 295)(104, 296)(105, 297)(106, 298)(107, 299)(108, 300)(109, 301)(110, 302)(111, 303)(112, 304)(113, 305)(114, 306)(115, 307)(116, 308)(117, 309)(118, 310)(119, 311)(120, 312)(121, 313)(122, 314)(123, 315)(124, 316)(125, 317)(126, 318)(127, 319)(128, 320)(129, 321)(130, 322)(131, 323)(132, 324)(133, 325)(134, 326)(135, 327)(136, 328)(137, 329)(138, 330)(139, 331)(140, 332)(141, 333)(142, 334)(143, 335)(144, 336)(145, 337)(146, 338)(147, 339)(148, 340)(149, 341)(150, 342)(151, 343)(152, 344)(153, 345)(154, 346)(155, 347)(156, 348)(157, 349)(158, 350)(159, 351)(160, 352)(161, 353)(162, 354)(163, 355)(164, 356)(165, 357)(166, 358)(167, 359)(168, 360)(169, 361)(170, 362)(171, 363)(172, 364)(173, 365)(174, 366)(175, 367)(176, 368)(177, 369)(178, 370)(179, 371)(180, 372)(181, 373)(182, 374)(183, 375)(184, 376)(185, 377)(186, 378)(187, 379)(188, 380)(189, 381)(190, 382)(191, 383)(192, 384)
	local type(s) :: { ( 6, 12 ), ( 6, 12, 6, 12, 6, 12, 6, 12 ) }
Outer automorphisms :: reflexible
Dual of E13.1459
Graph:: simple bipartite
	v = 120 e = 192 f = 48
	degree seq :: [ 2^96, 8^24 ]

E13.1461 :: Family: { 5 } :: Oriented family(ies): { E3a }
Signature :: (0; {3, 4, 6})
Quotient :: edge
Aut^+ = ((C4 x C4) : C3) : C2 (small group id <96, 71>)
Aut   = ((C4 x C4) : C3) : C2 (small group id <96, 71>)
|r| :: 1
Presentation :: [ X1^3, X2^4, X2^-1 * X1 * X2 * X1^-1 * X2^-1 * X1 * X2^-1 * X1^-1, (X2^-2 * X1)^3, X2 * X1^-1 * X2^-2 * X1 * X2 * X1 * X2^-2 * X1^-1, (X2^-1 * X1^-1)^6 ]
Map:: polytopal non-degenerate
	R = (1, 2, 4)(3, 8, 10)(5, 13, 14)(6, 15, 17)(7, 18, 19)(9, 22, 23)(11, 26, 28)(12, 29, 30)(16, 37, 38)(20, 45, 40)(21, 47, 44)(24, 52, 54)(25, 55, 56)(27, 58, 59)(31, 65, 39)(32, 67, 43)(33, 62, 69)(34, 57, 70)(35, 71, 61)(36, 73, 64)(41, 77, 60)(42, 79, 63)(46, 68, 74)(48, 78, 76)(49, 72, 80)(50, 85, 86)(51, 87, 88)(53, 75, 66)(81, 96, 90)(82, 94, 92)(83, 93, 89)(84, 95, 91)(97, 99, 105, 101)(98, 102, 112, 103)(100, 107, 123, 108)(104, 116, 142, 117)(106, 120, 149, 121)(109, 127, 162, 128)(110, 129, 164, 130)(111, 131, 168, 132)(113, 135, 172, 136)(114, 137, 174, 138)(115, 139, 176, 140)(118, 144, 155, 145)(119, 146, 133, 147)(122, 151, 181, 153)(124, 156, 184, 157)(125, 148, 183, 158)(126, 159, 182, 160)(134, 170, 154, 171)(141, 177, 163, 178)(143, 179, 161, 180)(150, 185, 166, 186)(152, 187, 165, 188)(167, 189, 175, 190)(169, 191, 173, 192)
	L = (1, 97)(2, 98)(3, 99)(4, 100)(5, 101)(6, 102)(7, 103)(8, 104)(9, 105)(10, 106)(11, 107)(12, 108)(13, 109)(14, 110)(15, 111)(16, 112)(17, 113)(18, 114)(19, 115)(20, 116)(21, 117)(22, 118)(23, 119)(24, 120)(25, 121)(26, 122)(27, 123)(28, 124)(29, 125)(30, 126)(31, 127)(32, 128)(33, 129)(34, 130)(35, 131)(36, 132)(37, 133)(38, 134)(39, 135)(40, 136)(41, 137)(42, 138)(43, 139)(44, 140)(45, 141)(46, 142)(47, 143)(48, 144)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 12^3 ), ( 12^4 ) }
Outer automorphisms :: chiral
Transitivity :: ET+
Graph:: simple bipartite
	v = 56 e = 96 f = 16
	degree seq :: [ 3^32, 4^24 ]

E13.1462 :: Family: { 5 } :: Oriented family(ies): { E3a }
Signature :: (0; {3, 4, 6})
Quotient :: edge
Aut^+ = ((C4 x C4) : C3) : C2 (small group id <96, 71>)
Aut   = ((C4 x C4) : C3) : C2 (small group id <96, 71>)
|r| :: 1
Presentation :: [ X1^4, (X2 * X1)^3, (X2 * X1^-1)^3, X2^6, X2 * X1 * X2^-2 * X1 * X2^-2 * X1^-1 ]
Map:: polyhedral non-degenerate
	R = (1, 2, 6, 4)(3, 9, 25, 11)(5, 14, 37, 15)(7, 19, 48, 21)(8, 22, 54, 23)(10, 28, 64, 30)(12, 32, 70, 34)(13, 35, 62, 26)(16, 40, 77, 41)(17, 42, 78, 44)(18, 45, 84, 46)(20, 50, 91, 52)(24, 57, 96, 58)(27, 63, 79, 49)(29, 66, 81, 67)(31, 68, 83, 53)(33, 69, 89, 72)(36, 65, 95, 74)(38, 56, 85, 61)(39, 55, 86, 73)(43, 80, 59, 82)(47, 87, 76, 88)(51, 92, 71, 93)(60, 90, 75, 94)(97, 99, 106, 125, 112, 101)(98, 103, 116, 147, 120, 104)(100, 108, 129, 167, 132, 109)(102, 113, 139, 177, 143, 114)(105, 122, 157, 184, 148, 123)(107, 118, 151, 183, 165, 127)(110, 134, 153, 176, 164, 130)(111, 135, 170, 178, 145, 115)(117, 141, 181, 161, 124, 149)(119, 152, 137, 168, 175, 138)(121, 155, 189, 173, 180, 156)(126, 159, 128, 142, 182, 154)(131, 169, 136, 146, 179, 140)(133, 171, 174, 160, 188, 172)(144, 185, 162, 192, 158, 186)(150, 190, 166, 187, 163, 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) :: { ( 6^4 ), ( 6^6 ) }
Outer automorphisms :: chiral
Transitivity :: ET+
Graph:: simple bipartite
	v = 40 e = 96 f = 32
	degree seq :: [ 4^24, 6^16 ]

E13.1463 :: Family: { 5 } :: Oriented family(ies): { E3a }
Signature :: (0; {3, 4, 6})
Quotient :: edge
Aut^+ = ((C4 x C4) : C3) : C2 (small group id <96, 71>)
Aut   = ((C4 x C4) : C3) : C2 (small group id <96, 71>)
|r| :: 1
Presentation :: [ X2^3, X1^6, X1^-2 * X2^-1 * X1 * X2 * X1^-1 * X2, (X2^-1 * X1^-1)^4, X1 * X2 * X1^-1 * X2^-1 * X1^2 * X2 * X1^2, X2 * X1 * X2 * X1^-1 * X2^-2 * X1^-2 * X2, X1^-2 * X2 * X1^-1 * X2^-1 * X1^2 * X2 * X1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 2, 6, 16, 12, 4)(3, 9, 23, 55, 27, 10)(5, 14, 35, 73, 39, 15)(7, 19, 46, 64, 49, 20)(8, 21, 51, 74, 53, 22)(11, 29, 26, 60, 38, 30)(13, 33, 70, 96, 72, 34)(17, 43, 59, 25, 58, 44)(18, 36, 75, 87, 66, 45)(24, 56, 91, 93, 82, 57)(28, 61, 42, 52, 88, 62)(31, 67, 65, 81, 71, 68)(32, 37, 76, 86, 50, 69)(40, 78, 90, 92, 83, 47)(41, 79, 85, 48, 84, 77)(54, 89, 63, 95, 94, 80)(97, 99, 101)(98, 103, 104)(100, 107, 109)(102, 113, 114)(105, 120, 121)(106, 122, 124)(108, 127, 128)(110, 132, 133)(111, 134, 136)(112, 137, 138)(115, 143, 144)(116, 119, 146)(117, 148, 129)(118, 123, 150)(125, 159, 160)(126, 161, 162)(130, 167, 152)(131, 170, 153)(135, 173, 155)(139, 176, 177)(140, 142, 168)(141, 145, 178)(147, 183, 179)(149, 164, 181)(151, 163, 186)(154, 188, 157)(156, 175, 189)(158, 190, 171)(165, 180, 191)(166, 169, 185)(172, 192, 174)(182, 187, 184)
	L = (1, 97)(2, 98)(3, 99)(4, 100)(5, 101)(6, 102)(7, 103)(8, 104)(9, 105)(10, 106)(11, 107)(12, 108)(13, 109)(14, 110)(15, 111)(16, 112)(17, 113)(18, 114)(19, 115)(20, 116)(21, 117)(22, 118)(23, 119)(24, 120)(25, 121)(26, 122)(27, 123)(28, 124)(29, 125)(30, 126)(31, 127)(32, 128)(33, 129)(34, 130)(35, 131)(36, 132)(37, 133)(38, 134)(39, 135)(40, 136)(41, 137)(42, 138)(43, 139)(44, 140)(45, 141)(46, 142)(47, 143)(48, 144)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 8^3 ), ( 8^6 ) }
Outer automorphisms :: chiral
Dual of E13.1465
Transitivity :: ET+
Graph:: simple bipartite
	v = 48 e = 96 f = 24
	degree seq :: [ 3^32, 6^16 ]

E13.1464 :: Family: { 5* } :: Oriented family(ies): { E3*a }
Signature :: (0; {3, 4, 6})
Quotient :: loop
Aut^+ = ((C4 x C4) : C3) : C2 (small group id <96, 71>)
Aut   = ((C4 x C4) : C3) : C2 (small group id <96, 71>)
|r| :: 1
Presentation :: [ X1^3, X2^4, X2^-1 * X1 * X2 * X1^-1 * X2^-1 * X1 * X2^-1 * X1^-1, (X2^-2 * X1)^3, X2 * X1^-1 * X2^-2 * X1 * X2 * X1 * X2^-2 * X1^-1, (X2^-1 * X1^-1)^6 ]
Map:: polyhedral non-degenerate
	R = (1, 97, 2, 98, 4, 100)(3, 99, 8, 104, 10, 106)(5, 101, 13, 109, 14, 110)(6, 102, 15, 111, 17, 113)(7, 103, 18, 114, 19, 115)(9, 105, 22, 118, 23, 119)(11, 107, 26, 122, 28, 124)(12, 108, 29, 125, 30, 126)(16, 112, 37, 133, 38, 134)(20, 116, 45, 141, 40, 136)(21, 117, 47, 143, 44, 140)(24, 120, 52, 148, 54, 150)(25, 121, 55, 151, 56, 152)(27, 123, 58, 154, 59, 155)(31, 127, 65, 161, 39, 135)(32, 128, 67, 163, 43, 139)(33, 129, 62, 158, 69, 165)(34, 130, 57, 153, 70, 166)(35, 131, 71, 167, 61, 157)(36, 132, 73, 169, 64, 160)(41, 137, 77, 173, 60, 156)(42, 138, 79, 175, 63, 159)(46, 142, 68, 164, 74, 170)(48, 144, 78, 174, 76, 172)(49, 145, 72, 168, 80, 176)(50, 146, 85, 181, 86, 182)(51, 147, 87, 183, 88, 184)(53, 149, 75, 171, 66, 162)(81, 177, 96, 192, 90, 186)(82, 178, 94, 190, 92, 188)(83, 179, 93, 189, 89, 185)(84, 180, 95, 191, 91, 187)
	L = (1, 99)(2, 102)(3, 105)(4, 107)(5, 97)(6, 112)(7, 98)(8, 116)(9, 101)(10, 120)(11, 123)(12, 100)(13, 127)(14, 129)(15, 131)(16, 103)(17, 135)(18, 137)(19, 139)(20, 142)(21, 104)(22, 144)(23, 146)(24, 149)(25, 106)(26, 151)(27, 108)(28, 156)(29, 148)(30, 159)(31, 162)(32, 109)(33, 164)(34, 110)(35, 168)(36, 111)(37, 147)(38, 170)(39, 172)(40, 113)(41, 174)(42, 114)(43, 176)(44, 115)(45, 177)(46, 117)(47, 179)(48, 155)(49, 118)(50, 133)(51, 119)(52, 183)(53, 121)(54, 185)(55, 181)(56, 187)(57, 122)(58, 171)(59, 145)(60, 184)(61, 124)(62, 125)(63, 182)(64, 126)(65, 180)(66, 128)(67, 178)(68, 130)(69, 188)(70, 186)(71, 189)(72, 132)(73, 191)(74, 154)(75, 134)(76, 136)(77, 192)(78, 138)(79, 190)(80, 140)(81, 163)(82, 141)(83, 161)(84, 143)(85, 153)(86, 160)(87, 158)(88, 157)(89, 166)(90, 150)(91, 165)(92, 152)(93, 175)(94, 167)(95, 173)(96, 169)
	local type(s) :: { ( 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: chiral
Transitivity :: ET+ VT+
Graph:: simple bipartite
	v = 32 e = 96 f = 40
	degree seq :: [ 6^32 ]

E13.1465 :: Family: { 5* } :: Oriented family(ies): { E3*a }
Signature :: (0; {3, 4, 6})
Quotient :: loop
Aut^+ = ((C4 x C4) : C3) : C2 (small group id <96, 71>)
Aut   = ((C4 x C4) : C3) : C2 (small group id <96, 71>)
|r| :: 1
Presentation :: [ X1^4, (X2 * X1)^3, (X2 * X1^-1)^3, X2^6, X2 * X1 * X2^-2 * X1 * X2^-2 * X1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 97, 2, 98, 6, 102, 4, 100)(3, 99, 9, 105, 25, 121, 11, 107)(5, 101, 14, 110, 37, 133, 15, 111)(7, 103, 19, 115, 48, 144, 21, 117)(8, 104, 22, 118, 54, 150, 23, 119)(10, 106, 28, 124, 64, 160, 30, 126)(12, 108, 32, 128, 70, 166, 34, 130)(13, 109, 35, 131, 62, 158, 26, 122)(16, 112, 40, 136, 77, 173, 41, 137)(17, 113, 42, 138, 78, 174, 44, 140)(18, 114, 45, 141, 84, 180, 46, 142)(20, 116, 50, 146, 91, 187, 52, 148)(24, 120, 57, 153, 96, 192, 58, 154)(27, 123, 63, 159, 79, 175, 49, 145)(29, 125, 66, 162, 81, 177, 67, 163)(31, 127, 68, 164, 83, 179, 53, 149)(33, 129, 69, 165, 89, 185, 72, 168)(36, 132, 65, 161, 95, 191, 74, 170)(38, 134, 56, 152, 85, 181, 61, 157)(39, 135, 55, 151, 86, 182, 73, 169)(43, 139, 80, 176, 59, 155, 82, 178)(47, 143, 87, 183, 76, 172, 88, 184)(51, 147, 92, 188, 71, 167, 93, 189)(60, 156, 90, 186, 75, 171, 94, 190)
	L = (1, 99)(2, 103)(3, 106)(4, 108)(5, 97)(6, 113)(7, 116)(8, 98)(9, 122)(10, 125)(11, 118)(12, 129)(13, 100)(14, 134)(15, 135)(16, 101)(17, 139)(18, 102)(19, 111)(20, 147)(21, 141)(22, 151)(23, 152)(24, 104)(25, 155)(26, 157)(27, 105)(28, 149)(29, 112)(30, 159)(31, 107)(32, 142)(33, 167)(34, 110)(35, 169)(36, 109)(37, 171)(38, 153)(39, 170)(40, 146)(41, 168)(42, 119)(43, 177)(44, 131)(45, 181)(46, 182)(47, 114)(48, 185)(49, 115)(50, 179)(51, 120)(52, 123)(53, 117)(54, 190)(55, 183)(56, 137)(57, 176)(58, 126)(59, 189)(60, 121)(61, 184)(62, 186)(63, 128)(64, 188)(65, 124)(66, 192)(67, 191)(68, 130)(69, 127)(70, 187)(71, 132)(72, 175)(73, 136)(74, 178)(75, 174)(76, 133)(77, 180)(78, 160)(79, 138)(80, 164)(81, 143)(82, 145)(83, 140)(84, 156)(85, 161)(86, 154)(87, 165)(88, 148)(89, 162)(90, 144)(91, 163)(92, 172)(93, 173)(94, 166)(95, 150)(96, 158)
	local type(s) :: { ( 3, 6, 3, 6, 3, 6, 3, 6 ) }
Outer automorphisms :: chiral
Dual of E13.1463
Transitivity :: ET+ VT+
Graph:: simple
	v = 24 e = 96 f = 48
	degree seq :: [ 8^24 ]

E13.1466 :: Family: { 5* } :: Oriented family(ies): { E3*a }
Signature :: (0; {3, 4, 6})
Quotient :: loop
Aut^+ = ((C4 x C4) : C3) : C2 (small group id <96, 71>)
Aut   = ((C4 x C4) : C3) : C2 (small group id <96, 71>)
|r| :: 1
Presentation :: [ X2^3, X1^6, X1^-2 * X2^-1 * X1 * X2 * X1^-1 * X2, (X2^-1 * X1^-1)^4, X1 * X2 * X1^-1 * X2^-1 * X1^2 * X2 * X1^2, X2 * X1 * X2 * X1^-1 * X2^-2 * X1^-2 * X2, X1^-2 * X2 * X1^-1 * X2^-1 * X1^2 * X2 * X1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 97, 2, 98, 6, 102, 16, 112, 12, 108, 4, 100)(3, 99, 9, 105, 23, 119, 55, 151, 27, 123, 10, 106)(5, 101, 14, 110, 35, 131, 73, 169, 39, 135, 15, 111)(7, 103, 19, 115, 46, 142, 64, 160, 49, 145, 20, 116)(8, 104, 21, 117, 51, 147, 74, 170, 53, 149, 22, 118)(11, 107, 29, 125, 26, 122, 60, 156, 38, 134, 30, 126)(13, 109, 33, 129, 70, 166, 96, 192, 72, 168, 34, 130)(17, 113, 43, 139, 59, 155, 25, 121, 58, 154, 44, 140)(18, 114, 36, 132, 75, 171, 87, 183, 66, 162, 45, 141)(24, 120, 56, 152, 91, 187, 93, 189, 82, 178, 57, 153)(28, 124, 61, 157, 42, 138, 52, 148, 88, 184, 62, 158)(31, 127, 67, 163, 65, 161, 81, 177, 71, 167, 68, 164)(32, 128, 37, 133, 76, 172, 86, 182, 50, 146, 69, 165)(40, 136, 78, 174, 90, 186, 92, 188, 83, 179, 47, 143)(41, 137, 79, 175, 85, 181, 48, 144, 84, 180, 77, 173)(54, 150, 89, 185, 63, 159, 95, 191, 94, 190, 80, 176)
	L = (1, 99)(2, 103)(3, 101)(4, 107)(5, 97)(6, 113)(7, 104)(8, 98)(9, 120)(10, 122)(11, 109)(12, 127)(13, 100)(14, 132)(15, 134)(16, 137)(17, 114)(18, 102)(19, 143)(20, 119)(21, 148)(22, 123)(23, 146)(24, 121)(25, 105)(26, 124)(27, 150)(28, 106)(29, 159)(30, 161)(31, 128)(32, 108)(33, 117)(34, 167)(35, 170)(36, 133)(37, 110)(38, 136)(39, 173)(40, 111)(41, 138)(42, 112)(43, 176)(44, 142)(45, 145)(46, 168)(47, 144)(48, 115)(49, 178)(50, 116)(51, 183)(52, 129)(53, 164)(54, 118)(55, 163)(56, 130)(57, 131)(58, 188)(59, 135)(60, 175)(61, 154)(62, 190)(63, 160)(64, 125)(65, 162)(66, 126)(67, 186)(68, 181)(69, 180)(70, 169)(71, 152)(72, 140)(73, 185)(74, 153)(75, 158)(76, 192)(77, 155)(78, 172)(79, 189)(80, 177)(81, 139)(82, 141)(83, 147)(84, 191)(85, 149)(86, 187)(87, 179)(88, 182)(89, 166)(90, 151)(91, 184)(92, 157)(93, 156)(94, 171)(95, 165)(96, 174)
	local type(s) :: { ( 3, 4, 3, 4, 3, 4, 3, 4, 3, 4, 3, 4 ) }
Outer automorphisms :: chiral
Transitivity :: ET+ VT+
Graph:: simple
	v = 16 e = 96 f = 56
	degree seq :: [ 12^16 ]

E13.1467 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 6, 12})
Quotient :: regular
Aut^+ = D8 x A4 (small group id <96, 197>)
Aut   = $<192, 1472>$ (small group id <192, 1472>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, (T1^-2 * T2 * T1^-1)^2, (T1^-1 * T2 * T1 * T2)^2, (T2 * T1^2 * T2 * T1^-2)^2, (T1^-1 * T2)^6, T1^12 ]
Map:: polytopal non-degenerate
	R = (1, 2, 5, 11, 23, 41, 65, 64, 40, 22, 10, 4)(3, 7, 15, 31, 51, 79, 88, 69, 43, 24, 18, 8)(6, 13, 27, 21, 39, 63, 87, 90, 67, 42, 30, 14)(9, 19, 37, 59, 80, 89, 66, 46, 26, 12, 25, 20)(16, 33, 54, 36, 58, 85, 91, 74, 47, 73, 49, 29)(17, 34, 56, 68, 44, 70, 92, 72, 53, 32, 52, 35)(28, 48, 75, 50, 78, 60, 86, 62, 38, 61, 71, 45)(55, 82, 93, 77, 96, 83, 95, 76, 57, 84, 94, 81)
	L = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 17)(10, 21)(11, 24)(13, 28)(14, 29)(15, 32)(18, 36)(19, 34)(20, 38)(22, 31)(23, 42)(25, 44)(26, 45)(27, 47)(30, 50)(33, 55)(35, 57)(37, 60)(39, 61)(40, 59)(41, 66)(43, 68)(46, 72)(48, 76)(49, 77)(51, 73)(52, 80)(53, 81)(54, 67)(56, 83)(58, 84)(62, 82)(63, 85)(64, 87)(65, 88)(69, 91)(70, 93)(71, 94)(74, 95)(75, 89)(78, 96)(79, 92)(86, 90)
	local type(s) :: { ( 6^12 ) }
Outer automorphisms :: reflexible
Dual of E13.1468
Transitivity :: ET+ VT+ AT+ REG+
Graph:: bipartite
	v = 8 e = 48 f = 16
	degree seq :: [ 12^8 ]

E13.1468 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 6, 12})
Quotient :: regular
Aut^+ = D8 x A4 (small group id <96, 197>)
Aut   = $<192, 1472>$ (small group id <192, 1472>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T1^6, (T1^-1 * T2 * T1 * T2)^2, (T1^-1 * T2 * T1^-1 * T2 * T1^-1)^2, (T2 * T1^2 * T2 * T1^-2)^2 ]
Map:: polytopal non-degenerate
	R = (1, 2, 5, 11, 10, 4)(3, 7, 15, 29, 18, 8)(6, 13, 25, 46, 28, 14)(9, 19, 35, 59, 37, 20)(12, 23, 42, 68, 45, 24)(16, 31, 54, 65, 49, 27)(17, 32, 56, 66, 43, 33)(21, 38, 62, 85, 63, 39)(22, 40, 64, 86, 67, 41)(26, 48, 36, 61, 70, 44)(30, 52, 78, 87, 71, 53)(34, 58, 83, 88, 73, 47)(50, 76, 60, 84, 90, 69)(51, 72, 89, 96, 95, 77)(55, 80, 57, 82, 91, 79)(74, 93, 75, 94, 81, 92)
	L = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 17)(10, 21)(11, 22)(13, 26)(14, 27)(15, 30)(18, 34)(19, 32)(20, 36)(23, 43)(24, 44)(25, 47)(28, 50)(29, 51)(31, 55)(33, 57)(35, 60)(37, 52)(38, 61)(39, 54)(40, 65)(41, 66)(42, 69)(45, 71)(46, 72)(48, 74)(49, 75)(53, 79)(56, 81)(58, 82)(59, 77)(62, 83)(63, 84)(64, 87)(67, 88)(68, 89)(70, 91)(73, 92)(76, 94)(78, 93)(80, 90)(85, 95)(86, 96)
	local type(s) :: { ( 12^6 ) }
Outer automorphisms :: reflexible
Dual of E13.1467
Transitivity :: ET+ VT+ AT+ REG+
Graph:: simple bipartite
	v = 16 e = 48 f = 8
	degree seq :: [ 6^16 ]

E13.1469 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 6, 12})
Quotient :: edge
Aut^+ = D8 x A4 (small group id <96, 197>)
Aut   = $<192, 1472>$ (small group id <192, 1472>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, T2^6, (T2^-1 * T1 * T2 * T1)^2, (T2 * T1 * T2 * T1 * T2)^2, (T2^-1 * T1 * T2^2 * T1 * T2^-1)^2, T2^2 * T1 * T2^-2 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-2 * T1 * T2 ]
Map:: polytopal
	R = (1, 3, 8, 18, 10, 4)(2, 5, 12, 25, 14, 6)(7, 15, 30, 53, 31, 16)(9, 19, 35, 60, 37, 20)(11, 22, 41, 66, 42, 23)(13, 26, 46, 73, 48, 27)(17, 32, 55, 81, 56, 33)(21, 38, 62, 85, 63, 39)(24, 43, 68, 90, 69, 44)(28, 49, 75, 94, 76, 50)(29, 51, 36, 61, 78, 52)(34, 57, 82, 95, 83, 58)(40, 64, 47, 74, 87, 65)(45, 70, 91, 96, 92, 71)(54, 79, 59, 84, 86, 80)(67, 88, 72, 93, 77, 89)(97, 98)(99, 103)(100, 105)(101, 107)(102, 109)(104, 113)(106, 117)(108, 120)(110, 124)(111, 125)(112, 119)(114, 130)(115, 122)(116, 132)(118, 136)(121, 141)(123, 143)(126, 146)(127, 150)(128, 144)(129, 148)(131, 155)(133, 139)(134, 157)(135, 137)(138, 163)(140, 161)(142, 168)(145, 170)(147, 173)(149, 166)(151, 176)(152, 165)(153, 162)(154, 169)(156, 167)(158, 171)(159, 180)(160, 182)(164, 185)(172, 189)(174, 183)(175, 184)(177, 187)(178, 186)(179, 190)(181, 188)(191, 192)
	L = (1, 97)(2, 98)(3, 99)(4, 100)(5, 101)(6, 102)(7, 103)(8, 104)(9, 105)(10, 106)(11, 107)(12, 108)(13, 109)(14, 110)(15, 111)(16, 112)(17, 113)(18, 114)(19, 115)(20, 116)(21, 117)(22, 118)(23, 119)(24, 120)(25, 121)(26, 122)(27, 123)(28, 124)(29, 125)(30, 126)(31, 127)(32, 128)(33, 129)(34, 130)(35, 131)(36, 132)(37, 133)(38, 134)(39, 135)(40, 136)(41, 137)(42, 138)(43, 139)(44, 140)(45, 141)(46, 142)(47, 143)(48, 144)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 24, 24 ), ( 24^6 ) }
Outer automorphisms :: reflexible
Dual of E13.1473
Transitivity :: ET+
Graph:: simple bipartite
	v = 64 e = 96 f = 8
	degree seq :: [ 2^48, 6^16 ]

E13.1470 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 6, 12})
Quotient :: edge
Aut^+ = D8 x A4 (small group id <96, 197>)
Aut   = $<192, 1472>$ (small group id <192, 1472>)
|r| :: 2
Presentation :: [ F^2, (T2^-1 * T1^-1)^2, (F * T2)^2, (F * T1)^2, T1^6, (T2^-1 * T1 * T2^-1)^2, T1^6, (T2^-2 * T1)^2, T1^-1 * T2^-1 * T1 * T2^2 * T1 * T2^-1 * T1^-1, T2^12 ]
Map:: polytopal non-degenerate
	R = (1, 3, 10, 26, 55, 86, 95, 72, 64, 35, 15, 5)(2, 7, 19, 43, 75, 61, 88, 92, 80, 48, 22, 8)(4, 12, 30, 60, 87, 91, 79, 46, 77, 52, 24, 9)(6, 17, 38, 69, 56, 28, 58, 84, 96, 74, 41, 18)(11, 27, 14, 34, 39, 70, 40, 73, 62, 85, 54, 25)(13, 32, 51, 82, 94, 71, 63, 33, 57, 83, 53, 29)(16, 36, 65, 89, 76, 45, 78, 49, 81, 93, 68, 37)(20, 44, 21, 47, 66, 90, 67, 59, 31, 50, 23, 42)(97, 98, 102, 112, 109, 100)(99, 105, 119, 145, 124, 107)(101, 110, 129, 141, 116, 103)(104, 117, 142, 167, 135, 113)(106, 121, 149, 161, 143, 118)(108, 125, 150, 180, 157, 127)(111, 126, 155, 164, 134, 130)(114, 136, 168, 187, 162, 132)(115, 138, 120, 147, 169, 137)(122, 144, 165, 189, 178, 148)(123, 152, 176, 186, 183, 153)(128, 133, 163, 188, 182, 158)(131, 139, 170, 185, 179, 156)(140, 172, 192, 181, 151, 173)(146, 171, 160, 166, 190, 177)(154, 174, 159, 175, 191, 184)
	L = (1, 97)(2, 98)(3, 99)(4, 100)(5, 101)(6, 102)(7, 103)(8, 104)(9, 105)(10, 106)(11, 107)(12, 108)(13, 109)(14, 110)(15, 111)(16, 112)(17, 113)(18, 114)(19, 115)(20, 116)(21, 117)(22, 118)(23, 119)(24, 120)(25, 121)(26, 122)(27, 123)(28, 124)(29, 125)(30, 126)(31, 127)(32, 128)(33, 129)(34, 130)(35, 131)(36, 132)(37, 133)(38, 134)(39, 135)(40, 136)(41, 137)(42, 138)(43, 139)(44, 140)(45, 141)(46, 142)(47, 143)(48, 144)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 4^6 ), ( 4^12 ) }
Outer automorphisms :: reflexible
Dual of E13.1474
Transitivity :: ET+
Graph:: simple bipartite
	v = 24 e = 96 f = 48
	degree seq :: [ 6^16, 12^8 ]

E13.1471 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 6, 12})
Quotient :: edge
Aut^+ = D8 x A4 (small group id <96, 197>)
Aut   = $<192, 1472>$ (small group id <192, 1472>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, (T1^-2 * T2 * T1^-1)^2, (T1^-1 * T2 * T1 * T2)^2, (T2 * T1^2 * T2 * T1^-2)^2, (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, 36)(19, 34)(20, 38)(22, 31)(23, 42)(25, 44)(26, 45)(27, 47)(30, 50)(33, 55)(35, 57)(37, 60)(39, 61)(40, 59)(41, 66)(43, 68)(46, 72)(48, 76)(49, 77)(51, 73)(52, 80)(53, 81)(54, 67)(56, 83)(58, 84)(62, 82)(63, 85)(64, 87)(65, 88)(69, 91)(70, 93)(71, 94)(74, 95)(75, 89)(78, 96)(79, 92)(86, 90)(97, 98, 101, 107, 119, 137, 161, 160, 136, 118, 106, 100)(99, 103, 111, 127, 147, 175, 184, 165, 139, 120, 114, 104)(102, 109, 123, 117, 135, 159, 183, 186, 163, 138, 126, 110)(105, 115, 133, 155, 176, 185, 162, 142, 122, 108, 121, 116)(112, 129, 150, 132, 154, 181, 187, 170, 143, 169, 145, 125)(113, 130, 152, 164, 140, 166, 188, 168, 149, 128, 148, 131)(124, 144, 171, 146, 174, 156, 182, 158, 134, 157, 167, 141)(151, 178, 189, 173, 192, 179, 191, 172, 153, 180, 190, 177)
	L = (1, 97)(2, 98)(3, 99)(4, 100)(5, 101)(6, 102)(7, 103)(8, 104)(9, 105)(10, 106)(11, 107)(12, 108)(13, 109)(14, 110)(15, 111)(16, 112)(17, 113)(18, 114)(19, 115)(20, 116)(21, 117)(22, 118)(23, 119)(24, 120)(25, 121)(26, 122)(27, 123)(28, 124)(29, 125)(30, 126)(31, 127)(32, 128)(33, 129)(34, 130)(35, 131)(36, 132)(37, 133)(38, 134)(39, 135)(40, 136)(41, 137)(42, 138)(43, 139)(44, 140)(45, 141)(46, 142)(47, 143)(48, 144)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 12, 12 ), ( 12^12 ) }
Outer automorphisms :: reflexible
Dual of E13.1472
Transitivity :: ET+
Graph:: simple bipartite
	v = 56 e = 96 f = 16
	degree seq :: [ 2^48, 12^8 ]

E13.1472 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 6, 12})
Quotient :: loop
Aut^+ = D8 x A4 (small group id <96, 197>)
Aut   = $<192, 1472>$ (small group id <192, 1472>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, T2^6, (T2^-1 * T1 * T2 * T1)^2, (T2 * T1 * T2 * T1 * T2)^2, (T2^-1 * T1 * T2^2 * T1 * T2^-1)^2, T2^2 * T1 * T2^-2 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-2 * T1 * T2 ]
Map::
	R = (1, 97, 3, 99, 8, 104, 18, 114, 10, 106, 4, 100)(2, 98, 5, 101, 12, 108, 25, 121, 14, 110, 6, 102)(7, 103, 15, 111, 30, 126, 53, 149, 31, 127, 16, 112)(9, 105, 19, 115, 35, 131, 60, 156, 37, 133, 20, 116)(11, 107, 22, 118, 41, 137, 66, 162, 42, 138, 23, 119)(13, 109, 26, 122, 46, 142, 73, 169, 48, 144, 27, 123)(17, 113, 32, 128, 55, 151, 81, 177, 56, 152, 33, 129)(21, 117, 38, 134, 62, 158, 85, 181, 63, 159, 39, 135)(24, 120, 43, 139, 68, 164, 90, 186, 69, 165, 44, 140)(28, 124, 49, 145, 75, 171, 94, 190, 76, 172, 50, 146)(29, 125, 51, 147, 36, 132, 61, 157, 78, 174, 52, 148)(34, 130, 57, 153, 82, 178, 95, 191, 83, 179, 58, 154)(40, 136, 64, 160, 47, 143, 74, 170, 87, 183, 65, 161)(45, 141, 70, 166, 91, 187, 96, 192, 92, 188, 71, 167)(54, 150, 79, 175, 59, 155, 84, 180, 86, 182, 80, 176)(67, 163, 88, 184, 72, 168, 93, 189, 77, 173, 89, 185)
	L = (1, 98)(2, 97)(3, 103)(4, 105)(5, 107)(6, 109)(7, 99)(8, 113)(9, 100)(10, 117)(11, 101)(12, 120)(13, 102)(14, 124)(15, 125)(16, 119)(17, 104)(18, 130)(19, 122)(20, 132)(21, 106)(22, 136)(23, 112)(24, 108)(25, 141)(26, 115)(27, 143)(28, 110)(29, 111)(30, 146)(31, 150)(32, 144)(33, 148)(34, 114)(35, 155)(36, 116)(37, 139)(38, 157)(39, 137)(40, 118)(41, 135)(42, 163)(43, 133)(44, 161)(45, 121)(46, 168)(47, 123)(48, 128)(49, 170)(50, 126)(51, 173)(52, 129)(53, 166)(54, 127)(55, 176)(56, 165)(57, 162)(58, 169)(59, 131)(60, 167)(61, 134)(62, 171)(63, 180)(64, 182)(65, 140)(66, 153)(67, 138)(68, 185)(69, 152)(70, 149)(71, 156)(72, 142)(73, 154)(74, 145)(75, 158)(76, 189)(77, 147)(78, 183)(79, 184)(80, 151)(81, 187)(82, 186)(83, 190)(84, 159)(85, 188)(86, 160)(87, 174)(88, 175)(89, 164)(90, 178)(91, 177)(92, 181)(93, 172)(94, 179)(95, 192)(96, 191)
	local type(s) :: { ( 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12 ) }
Outer automorphisms :: reflexible
Dual of E13.1471
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 16 e = 96 f = 56
	degree seq :: [ 12^16 ]

E13.1473 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 6, 12})
Quotient :: loop
Aut^+ = D8 x A4 (small group id <96, 197>)
Aut   = $<192, 1472>$ (small group id <192, 1472>)
|r| :: 2
Presentation :: [ F^2, (T2^-1 * T1^-1)^2, (F * T2)^2, (F * T1)^2, T1^6, (T2^-1 * T1 * T2^-1)^2, T1^6, (T2^-2 * T1)^2, T1^-1 * T2^-1 * T1 * T2^2 * T1 * T2^-1 * T1^-1, T2^12 ]
Map::
	R = (1, 97, 3, 99, 10, 106, 26, 122, 55, 151, 86, 182, 95, 191, 72, 168, 64, 160, 35, 131, 15, 111, 5, 101)(2, 98, 7, 103, 19, 115, 43, 139, 75, 171, 61, 157, 88, 184, 92, 188, 80, 176, 48, 144, 22, 118, 8, 104)(4, 100, 12, 108, 30, 126, 60, 156, 87, 183, 91, 187, 79, 175, 46, 142, 77, 173, 52, 148, 24, 120, 9, 105)(6, 102, 17, 113, 38, 134, 69, 165, 56, 152, 28, 124, 58, 154, 84, 180, 96, 192, 74, 170, 41, 137, 18, 114)(11, 107, 27, 123, 14, 110, 34, 130, 39, 135, 70, 166, 40, 136, 73, 169, 62, 158, 85, 181, 54, 150, 25, 121)(13, 109, 32, 128, 51, 147, 82, 178, 94, 190, 71, 167, 63, 159, 33, 129, 57, 153, 83, 179, 53, 149, 29, 125)(16, 112, 36, 132, 65, 161, 89, 185, 76, 172, 45, 141, 78, 174, 49, 145, 81, 177, 93, 189, 68, 164, 37, 133)(20, 116, 44, 140, 21, 117, 47, 143, 66, 162, 90, 186, 67, 163, 59, 155, 31, 127, 50, 146, 23, 119, 42, 138)
	L = (1, 98)(2, 102)(3, 105)(4, 97)(5, 110)(6, 112)(7, 101)(8, 117)(9, 119)(10, 121)(11, 99)(12, 125)(13, 100)(14, 129)(15, 126)(16, 109)(17, 104)(18, 136)(19, 138)(20, 103)(21, 142)(22, 106)(23, 145)(24, 147)(25, 149)(26, 144)(27, 152)(28, 107)(29, 150)(30, 155)(31, 108)(32, 133)(33, 141)(34, 111)(35, 139)(36, 114)(37, 163)(38, 130)(39, 113)(40, 168)(41, 115)(42, 120)(43, 170)(44, 172)(45, 116)(46, 167)(47, 118)(48, 165)(49, 124)(50, 171)(51, 169)(52, 122)(53, 161)(54, 180)(55, 173)(56, 176)(57, 123)(58, 174)(59, 164)(60, 131)(61, 127)(62, 128)(63, 175)(64, 166)(65, 143)(66, 132)(67, 188)(68, 134)(69, 189)(70, 190)(71, 135)(72, 187)(73, 137)(74, 185)(75, 160)(76, 192)(77, 140)(78, 159)(79, 191)(80, 186)(81, 146)(82, 148)(83, 156)(84, 157)(85, 151)(86, 158)(87, 153)(88, 154)(89, 179)(90, 183)(91, 162)(92, 182)(93, 178)(94, 177)(95, 184)(96, 181)
	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 E13.1469
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 8 e = 96 f = 64
	degree seq :: [ 24^8 ]

E13.1474 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 6, 12})
Quotient :: loop
Aut^+ = D8 x A4 (small group id <96, 197>)
Aut   = $<192, 1472>$ (small group id <192, 1472>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, (T1^-2 * T2 * T1^-1)^2, (T1^-1 * T2 * T1 * T2)^2, (T2 * T1^2 * T2 * T1^-2)^2, (T2 * T1^-1)^6, T1^12 ]
Map:: polytopal non-degenerate
	R = (1, 97, 3, 99)(2, 98, 6, 102)(4, 100, 9, 105)(5, 101, 12, 108)(7, 103, 16, 112)(8, 104, 17, 113)(10, 106, 21, 117)(11, 107, 24, 120)(13, 109, 28, 124)(14, 110, 29, 125)(15, 111, 32, 128)(18, 114, 36, 132)(19, 115, 34, 130)(20, 116, 38, 134)(22, 118, 31, 127)(23, 119, 42, 138)(25, 121, 44, 140)(26, 122, 45, 141)(27, 123, 47, 143)(30, 126, 50, 146)(33, 129, 55, 151)(35, 131, 57, 153)(37, 133, 60, 156)(39, 135, 61, 157)(40, 136, 59, 155)(41, 137, 66, 162)(43, 139, 68, 164)(46, 142, 72, 168)(48, 144, 76, 172)(49, 145, 77, 173)(51, 147, 73, 169)(52, 148, 80, 176)(53, 149, 81, 177)(54, 150, 67, 163)(56, 152, 83, 179)(58, 154, 84, 180)(62, 158, 82, 178)(63, 159, 85, 181)(64, 160, 87, 183)(65, 161, 88, 184)(69, 165, 91, 187)(70, 166, 93, 189)(71, 167, 94, 190)(74, 170, 95, 191)(75, 171, 89, 185)(78, 174, 96, 192)(79, 175, 92, 188)(86, 182, 90, 186)
	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, 129)(17, 130)(18, 104)(19, 133)(20, 105)(21, 135)(22, 106)(23, 137)(24, 114)(25, 116)(26, 108)(27, 117)(28, 144)(29, 112)(30, 110)(31, 147)(32, 148)(33, 150)(34, 152)(35, 113)(36, 154)(37, 155)(38, 157)(39, 159)(40, 118)(41, 161)(42, 126)(43, 120)(44, 166)(45, 124)(46, 122)(47, 169)(48, 171)(49, 125)(50, 174)(51, 175)(52, 131)(53, 128)(54, 132)(55, 178)(56, 164)(57, 180)(58, 181)(59, 176)(60, 182)(61, 167)(62, 134)(63, 183)(64, 136)(65, 160)(66, 142)(67, 138)(68, 140)(69, 139)(70, 188)(71, 141)(72, 149)(73, 145)(74, 143)(75, 146)(76, 153)(77, 192)(78, 156)(79, 184)(80, 185)(81, 151)(82, 189)(83, 191)(84, 190)(85, 187)(86, 158)(87, 186)(88, 165)(89, 162)(90, 163)(91, 170)(92, 168)(93, 173)(94, 177)(95, 172)(96, 179)
	local type(s) :: { ( 6, 12, 6, 12 ) }
Outer automorphisms :: reflexible
Dual of E13.1470
Transitivity :: ET+ VT+ AT
Graph:: simple bipartite
	v = 48 e = 96 f = 24
	degree seq :: [ 4^48 ]

E13.1475 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 12})
Quotient :: dipole
Aut^+ = D8 x A4 (small group id <96, 197>)
Aut   = $<192, 1472>$ (small group id <192, 1472>)
|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 * R)^2, (Y2^-1 * Y1 * Y2 * Y1)^2, (Y2^-1 * Y1 * Y2^-2 * Y1)^2, Y2^-1 * R * Y2^-2 * R * Y2^-2 * Y1 * Y2^2 * Y1 * Y2^-1, (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, 24, 120)(14, 110, 28, 124)(15, 111, 29, 125)(16, 112, 23, 119)(18, 114, 34, 130)(19, 115, 26, 122)(20, 116, 36, 132)(22, 118, 40, 136)(25, 121, 45, 141)(27, 123, 47, 143)(30, 126, 50, 146)(31, 127, 54, 150)(32, 128, 48, 144)(33, 129, 52, 148)(35, 131, 59, 155)(37, 133, 43, 139)(38, 134, 61, 157)(39, 135, 41, 137)(42, 138, 67, 163)(44, 140, 65, 161)(46, 142, 72, 168)(49, 145, 74, 170)(51, 147, 77, 173)(53, 149, 70, 166)(55, 151, 80, 176)(56, 152, 69, 165)(57, 153, 66, 162)(58, 154, 73, 169)(60, 156, 71, 167)(62, 158, 75, 171)(63, 159, 84, 180)(64, 160, 86, 182)(68, 164, 89, 185)(76, 172, 93, 189)(78, 174, 87, 183)(79, 175, 88, 184)(81, 177, 91, 187)(82, 178, 90, 186)(83, 179, 94, 190)(85, 181, 92, 188)(95, 191, 96, 192)(193, 289, 195, 291, 200, 296, 210, 306, 202, 298, 196, 292)(194, 290, 197, 293, 204, 300, 217, 313, 206, 302, 198, 294)(199, 295, 207, 303, 222, 318, 245, 341, 223, 319, 208, 304)(201, 297, 211, 307, 227, 323, 252, 348, 229, 325, 212, 308)(203, 299, 214, 310, 233, 329, 258, 354, 234, 330, 215, 311)(205, 301, 218, 314, 238, 334, 265, 361, 240, 336, 219, 315)(209, 305, 224, 320, 247, 343, 273, 369, 248, 344, 225, 321)(213, 309, 230, 326, 254, 350, 277, 373, 255, 351, 231, 327)(216, 312, 235, 331, 260, 356, 282, 378, 261, 357, 236, 332)(220, 316, 241, 337, 267, 363, 286, 382, 268, 364, 242, 338)(221, 317, 243, 339, 228, 324, 253, 349, 270, 366, 244, 340)(226, 322, 249, 345, 274, 370, 287, 383, 275, 371, 250, 346)(232, 328, 256, 352, 239, 335, 266, 362, 279, 375, 257, 353)(237, 333, 262, 358, 283, 379, 288, 384, 284, 380, 263, 359)(246, 342, 271, 367, 251, 347, 276, 372, 278, 374, 272, 368)(259, 355, 280, 376, 264, 360, 285, 381, 269, 365, 281, 377)
	L = (1, 194)(2, 193)(3, 199)(4, 201)(5, 203)(6, 205)(7, 195)(8, 209)(9, 196)(10, 213)(11, 197)(12, 216)(13, 198)(14, 220)(15, 221)(16, 215)(17, 200)(18, 226)(19, 218)(20, 228)(21, 202)(22, 232)(23, 208)(24, 204)(25, 237)(26, 211)(27, 239)(28, 206)(29, 207)(30, 242)(31, 246)(32, 240)(33, 244)(34, 210)(35, 251)(36, 212)(37, 235)(38, 253)(39, 233)(40, 214)(41, 231)(42, 259)(43, 229)(44, 257)(45, 217)(46, 264)(47, 219)(48, 224)(49, 266)(50, 222)(51, 269)(52, 225)(53, 262)(54, 223)(55, 272)(56, 261)(57, 258)(58, 265)(59, 227)(60, 263)(61, 230)(62, 267)(63, 276)(64, 278)(65, 236)(66, 249)(67, 234)(68, 281)(69, 248)(70, 245)(71, 252)(72, 238)(73, 250)(74, 241)(75, 254)(76, 285)(77, 243)(78, 279)(79, 280)(80, 247)(81, 283)(82, 282)(83, 286)(84, 255)(85, 284)(86, 256)(87, 270)(88, 271)(89, 260)(90, 274)(91, 273)(92, 277)(93, 268)(94, 275)(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, 24, 2, 24 ), ( 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24 ) }
Outer automorphisms :: reflexible
Dual of E13.1478
Graph:: bipartite
	v = 64 e = 192 f = 104
	degree seq :: [ 4^48, 12^16 ]

E13.1476 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 12})
Quotient :: dipole
Aut^+ = D8 x A4 (small group id <96, 197>)
Aut   = $<192, 1472>$ (small group id <192, 1472>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, (R * Y1)^2, (Y2 * Y1)^2, (Y3^-1 * Y1^-1)^2, (R * Y3)^2, (Y2^-1 * Y1 * Y2^-1)^2, Y1^6, (Y2^-1 * Y1 * Y2^-1)^2, Y1^6, Y1^-1 * Y2^-1 * Y1 * Y2 * Y1^-1 * Y2^-2 * Y1^-1, Y2^12 ]
Map::
	R = (1, 97, 2, 98, 6, 102, 16, 112, 13, 109, 4, 100)(3, 99, 9, 105, 23, 119, 49, 145, 28, 124, 11, 107)(5, 101, 14, 110, 33, 129, 45, 141, 20, 116, 7, 103)(8, 104, 21, 117, 46, 142, 71, 167, 39, 135, 17, 113)(10, 106, 25, 121, 53, 149, 65, 161, 47, 143, 22, 118)(12, 108, 29, 125, 54, 150, 84, 180, 61, 157, 31, 127)(15, 111, 30, 126, 59, 155, 68, 164, 38, 134, 34, 130)(18, 114, 40, 136, 72, 168, 91, 187, 66, 162, 36, 132)(19, 115, 42, 138, 24, 120, 51, 147, 73, 169, 41, 137)(26, 122, 48, 144, 69, 165, 93, 189, 82, 178, 52, 148)(27, 123, 56, 152, 80, 176, 90, 186, 87, 183, 57, 153)(32, 128, 37, 133, 67, 163, 92, 188, 86, 182, 62, 158)(35, 131, 43, 139, 74, 170, 89, 185, 83, 179, 60, 156)(44, 140, 76, 172, 96, 192, 85, 181, 55, 151, 77, 173)(50, 146, 75, 171, 64, 160, 70, 166, 94, 190, 81, 177)(58, 154, 78, 174, 63, 159, 79, 175, 95, 191, 88, 184)(193, 289, 195, 291, 202, 298, 218, 314, 247, 343, 278, 374, 287, 383, 264, 360, 256, 352, 227, 323, 207, 303, 197, 293)(194, 290, 199, 295, 211, 307, 235, 331, 267, 363, 253, 349, 280, 376, 284, 380, 272, 368, 240, 336, 214, 310, 200, 296)(196, 292, 204, 300, 222, 318, 252, 348, 279, 375, 283, 379, 271, 367, 238, 334, 269, 365, 244, 340, 216, 312, 201, 297)(198, 294, 209, 305, 230, 326, 261, 357, 248, 344, 220, 316, 250, 346, 276, 372, 288, 384, 266, 362, 233, 329, 210, 306)(203, 299, 219, 315, 206, 302, 226, 322, 231, 327, 262, 358, 232, 328, 265, 361, 254, 350, 277, 373, 246, 342, 217, 313)(205, 301, 224, 320, 243, 339, 274, 370, 286, 382, 263, 359, 255, 351, 225, 321, 249, 345, 275, 371, 245, 341, 221, 317)(208, 304, 228, 324, 257, 353, 281, 377, 268, 364, 237, 333, 270, 366, 241, 337, 273, 369, 285, 381, 260, 356, 229, 325)(212, 308, 236, 332, 213, 309, 239, 335, 258, 354, 282, 378, 259, 355, 251, 347, 223, 319, 242, 338, 215, 311, 234, 330)
	L = (1, 195)(2, 199)(3, 202)(4, 204)(5, 193)(6, 209)(7, 211)(8, 194)(9, 196)(10, 218)(11, 219)(12, 222)(13, 224)(14, 226)(15, 197)(16, 228)(17, 230)(18, 198)(19, 235)(20, 236)(21, 239)(22, 200)(23, 234)(24, 201)(25, 203)(26, 247)(27, 206)(28, 250)(29, 205)(30, 252)(31, 242)(32, 243)(33, 249)(34, 231)(35, 207)(36, 257)(37, 208)(38, 261)(39, 262)(40, 265)(41, 210)(42, 212)(43, 267)(44, 213)(45, 270)(46, 269)(47, 258)(48, 214)(49, 273)(50, 215)(51, 274)(52, 216)(53, 221)(54, 217)(55, 278)(56, 220)(57, 275)(58, 276)(59, 223)(60, 279)(61, 280)(62, 277)(63, 225)(64, 227)(65, 281)(66, 282)(67, 251)(68, 229)(69, 248)(70, 232)(71, 255)(72, 256)(73, 254)(74, 233)(75, 253)(76, 237)(77, 244)(78, 241)(79, 238)(80, 240)(81, 285)(82, 286)(83, 245)(84, 288)(85, 246)(86, 287)(87, 283)(88, 284)(89, 268)(90, 259)(91, 271)(92, 272)(93, 260)(94, 263)(95, 264)(96, 266)(97, 289)(98, 290)(99, 291)(100, 292)(101, 293)(102, 294)(103, 295)(104, 296)(105, 297)(106, 298)(107, 299)(108, 300)(109, 301)(110, 302)(111, 303)(112, 304)(113, 305)(114, 306)(115, 307)(116, 308)(117, 309)(118, 310)(119, 311)(120, 312)(121, 313)(122, 314)(123, 315)(124, 316)(125, 317)(126, 318)(127, 319)(128, 320)(129, 321)(130, 322)(131, 323)(132, 324)(133, 325)(134, 326)(135, 327)(136, 328)(137, 329)(138, 330)(139, 331)(140, 332)(141, 333)(142, 334)(143, 335)(144, 336)(145, 337)(146, 338)(147, 339)(148, 340)(149, 341)(150, 342)(151, 343)(152, 344)(153, 345)(154, 346)(155, 347)(156, 348)(157, 349)(158, 350)(159, 351)(160, 352)(161, 353)(162, 354)(163, 355)(164, 356)(165, 357)(166, 358)(167, 359)(168, 360)(169, 361)(170, 362)(171, 363)(172, 364)(173, 365)(174, 366)(175, 367)(176, 368)(177, 369)(178, 370)(179, 371)(180, 372)(181, 373)(182, 374)(183, 375)(184, 376)(185, 377)(186, 378)(187, 379)(188, 380)(189, 381)(190, 382)(191, 383)(192, 384)
	local type(s) :: { ( 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4 ), ( 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 E13.1477
Graph:: bipartite
	v = 24 e = 192 f = 144
	degree seq :: [ 12^16, 24^8 ]

E13.1477 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 12})
Quotient :: dipole
Aut^+ = D8 x A4 (small group id <96, 197>)
Aut   = $<192, 1472>$ (small group id <192, 1472>)
|r| :: 2
Presentation :: [ Y1, Y2^2, R^2, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, (Y3^-2 * Y2 * Y3^-1)^2, (Y3^-1 * Y2 * Y3 * Y2)^2, (Y3^2 * Y2 * Y3^-2 * Y2)^2, (Y3 * Y2)^6, (Y3^-1 * Y1^-1)^12 ]
Map:: polytopal
	R = (1, 97)(2, 98)(3, 99)(4, 100)(5, 101)(6, 102)(7, 103)(8, 104)(9, 105)(10, 106)(11, 107)(12, 108)(13, 109)(14, 110)(15, 111)(16, 112)(17, 113)(18, 114)(19, 115)(20, 116)(21, 117)(22, 118)(23, 119)(24, 120)(25, 121)(26, 122)(27, 123)(28, 124)(29, 125)(30, 126)(31, 127)(32, 128)(33, 129)(34, 130)(35, 131)(36, 132)(37, 133)(38, 134)(39, 135)(40, 136)(41, 137)(42, 138)(43, 139)(44, 140)(45, 141)(46, 142)(47, 143)(48, 144)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)(193, 289, 194, 290)(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, 223, 319)(208, 304, 216, 312)(210, 306, 222, 318)(211, 307, 219, 315)(212, 308, 230, 326)(214, 310, 218, 314)(215, 311, 233, 329)(220, 316, 240, 336)(224, 320, 245, 341)(225, 321, 246, 342)(226, 322, 248, 344)(227, 323, 244, 340)(228, 324, 247, 343)(229, 325, 251, 347)(231, 327, 253, 349)(232, 328, 252, 348)(234, 330, 259, 355)(235, 331, 260, 356)(236, 332, 262, 358)(237, 333, 258, 354)(238, 334, 261, 357)(239, 335, 265, 361)(241, 337, 267, 363)(242, 338, 266, 362)(243, 339, 268, 364)(249, 345, 263, 359)(250, 346, 276, 372)(254, 350, 257, 353)(255, 351, 269, 365)(256, 352, 279, 375)(264, 360, 285, 381)(270, 366, 288, 384)(271, 367, 284, 380)(272, 368, 281, 377)(273, 369, 287, 383)(274, 370, 283, 379)(275, 371, 280, 376)(277, 373, 286, 382)(278, 374, 282, 378)
	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, 224)(16, 199)(17, 226)(18, 228)(19, 229)(20, 201)(21, 231)(22, 202)(23, 234)(24, 203)(25, 236)(26, 238)(27, 239)(28, 205)(29, 241)(30, 206)(31, 243)(32, 213)(33, 208)(34, 212)(35, 209)(36, 250)(37, 252)(38, 253)(39, 255)(40, 214)(41, 257)(42, 221)(43, 216)(44, 220)(45, 217)(46, 264)(47, 266)(48, 267)(49, 269)(50, 222)(51, 271)(52, 223)(53, 261)(54, 274)(55, 225)(56, 275)(57, 227)(58, 277)(59, 278)(60, 262)(61, 272)(62, 230)(63, 279)(64, 232)(65, 280)(66, 233)(67, 247)(68, 283)(69, 235)(70, 284)(71, 237)(72, 286)(73, 287)(74, 248)(75, 281)(76, 240)(77, 288)(78, 242)(79, 246)(80, 244)(81, 245)(82, 251)(83, 285)(84, 249)(85, 256)(86, 254)(87, 282)(88, 260)(89, 258)(90, 259)(91, 265)(92, 276)(93, 263)(94, 270)(95, 268)(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) :: { ( 12, 24 ), ( 12, 24, 12, 24 ) }
Outer automorphisms :: reflexible
Dual of E13.1476
Graph:: simple bipartite
	v = 144 e = 192 f = 24
	degree seq :: [ 2^96, 4^48 ]

E13.1478 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 12})
Quotient :: dipole
Aut^+ = D8 x A4 (small group id <96, 197>)
Aut   = $<192, 1472>$ (small group id <192, 1472>)
|r| :: 2
Presentation :: [ Y2, R^2, Y3^2, R * Y2 * R * Y2^-1, (R * Y1)^2, (R * Y3)^2, (Y3 * Y2^-1)^2, (Y3 * Y1 * Y3 * Y1^-1)^2, (Y1^-1 * Y3 * Y1^-2)^2, (Y3 * Y1^2 * Y3 * Y1^-2)^2, (Y3 * Y1^-1)^6, Y1^12 ]
Map:: polytopal
	R = (1, 97, 2, 98, 5, 101, 11, 107, 23, 119, 41, 137, 65, 161, 64, 160, 40, 136, 22, 118, 10, 106, 4, 100)(3, 99, 7, 103, 15, 111, 31, 127, 51, 147, 79, 175, 88, 184, 69, 165, 43, 139, 24, 120, 18, 114, 8, 104)(6, 102, 13, 109, 27, 123, 21, 117, 39, 135, 63, 159, 87, 183, 90, 186, 67, 163, 42, 138, 30, 126, 14, 110)(9, 105, 19, 115, 37, 133, 59, 155, 80, 176, 89, 185, 66, 162, 46, 142, 26, 122, 12, 108, 25, 121, 20, 116)(16, 112, 33, 129, 54, 150, 36, 132, 58, 154, 85, 181, 91, 187, 74, 170, 47, 143, 73, 169, 49, 145, 29, 125)(17, 113, 34, 130, 56, 152, 68, 164, 44, 140, 70, 166, 92, 188, 72, 168, 53, 149, 32, 128, 52, 148, 35, 131)(28, 124, 48, 144, 75, 171, 50, 146, 78, 174, 60, 156, 86, 182, 62, 158, 38, 134, 61, 157, 71, 167, 45, 141)(55, 151, 82, 178, 93, 189, 77, 173, 96, 192, 83, 179, 95, 191, 76, 172, 57, 153, 84, 180, 94, 190, 81, 177)(193, 289)(194, 290)(195, 291)(196, 292)(197, 293)(198, 294)(199, 295)(200, 296)(201, 297)(202, 298)(203, 299)(204, 300)(205, 301)(206, 302)(207, 303)(208, 304)(209, 305)(210, 306)(211, 307)(212, 308)(213, 309)(214, 310)(215, 311)(216, 312)(217, 313)(218, 314)(219, 315)(220, 316)(221, 317)(222, 318)(223, 319)(224, 320)(225, 321)(226, 322)(227, 323)(228, 324)(229, 325)(230, 326)(231, 327)(232, 328)(233, 329)(234, 330)(235, 331)(236, 332)(237, 333)(238, 334)(239, 335)(240, 336)(241, 337)(242, 338)(243, 339)(244, 340)(245, 341)(246, 342)(247, 343)(248, 344)(249, 345)(250, 346)(251, 347)(252, 348)(253, 349)(254, 350)(255, 351)(256, 352)(257, 353)(258, 354)(259, 355)(260, 356)(261, 357)(262, 358)(263, 359)(264, 360)(265, 361)(266, 362)(267, 363)(268, 364)(269, 365)(270, 366)(271, 367)(272, 368)(273, 369)(274, 370)(275, 371)(276, 372)(277, 373)(278, 374)(279, 375)(280, 376)(281, 377)(282, 378)(283, 379)(284, 380)(285, 381)(286, 382)(287, 383)(288, 384)
	L = (1, 195)(2, 198)(3, 193)(4, 201)(5, 204)(6, 194)(7, 208)(8, 209)(9, 196)(10, 213)(11, 216)(12, 197)(13, 220)(14, 221)(15, 224)(16, 199)(17, 200)(18, 228)(19, 226)(20, 230)(21, 202)(22, 223)(23, 234)(24, 203)(25, 236)(26, 237)(27, 239)(28, 205)(29, 206)(30, 242)(31, 214)(32, 207)(33, 247)(34, 211)(35, 249)(36, 210)(37, 252)(38, 212)(39, 253)(40, 251)(41, 258)(42, 215)(43, 260)(44, 217)(45, 218)(46, 264)(47, 219)(48, 268)(49, 269)(50, 222)(51, 265)(52, 272)(53, 273)(54, 259)(55, 225)(56, 275)(57, 227)(58, 276)(59, 232)(60, 229)(61, 231)(62, 274)(63, 277)(64, 279)(65, 280)(66, 233)(67, 246)(68, 235)(69, 283)(70, 285)(71, 286)(72, 238)(73, 243)(74, 287)(75, 281)(76, 240)(77, 241)(78, 288)(79, 284)(80, 244)(81, 245)(82, 254)(83, 248)(84, 250)(85, 255)(86, 282)(87, 256)(88, 257)(89, 267)(90, 278)(91, 261)(92, 271)(93, 262)(94, 263)(95, 266)(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, 12 ), ( 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 E13.1475
Graph:: simple bipartite
	v = 104 e = 192 f = 64
	degree seq :: [ 2^96, 24^8 ]

E13.1479 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 12})
Quotient :: dipole
Aut^+ = D8 x A4 (small group id <96, 197>)
Aut   = $<192, 1472>$ (small group id <192, 1472>)
|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 * Y1 * Y2 * Y1)^2, (Y3 * Y2^-1)^6, Y2^12, (Y2^2 * Y1 * Y2^-2 * Y1)^2 ]
Map::
	R = (1, 97, 2, 98)(3, 99, 7, 103)(4, 100, 9, 105)(5, 101, 11, 107)(6, 102, 13, 109)(8, 104, 17, 113)(10, 106, 21, 117)(12, 108, 25, 121)(14, 110, 29, 125)(15, 111, 31, 127)(16, 112, 24, 120)(18, 114, 30, 126)(19, 115, 27, 123)(20, 116, 38, 134)(22, 118, 26, 122)(23, 119, 41, 137)(28, 124, 48, 144)(32, 128, 53, 149)(33, 129, 54, 150)(34, 130, 56, 152)(35, 131, 52, 148)(36, 132, 55, 151)(37, 133, 59, 155)(39, 135, 61, 157)(40, 136, 60, 156)(42, 138, 67, 163)(43, 139, 68, 164)(44, 140, 70, 166)(45, 141, 66, 162)(46, 142, 69, 165)(47, 143, 73, 169)(49, 145, 75, 171)(50, 146, 74, 170)(51, 147, 76, 172)(57, 153, 71, 167)(58, 154, 84, 180)(62, 158, 65, 161)(63, 159, 77, 173)(64, 160, 87, 183)(72, 168, 93, 189)(78, 174, 96, 192)(79, 175, 92, 188)(80, 176, 89, 185)(81, 177, 95, 191)(82, 178, 91, 187)(83, 179, 88, 184)(85, 181, 94, 190)(86, 182, 90, 186)(193, 289, 195, 291, 200, 296, 210, 306, 228, 324, 250, 346, 277, 373, 256, 352, 232, 328, 214, 310, 202, 298, 196, 292)(194, 290, 197, 293, 204, 300, 218, 314, 238, 334, 264, 360, 286, 382, 270, 366, 242, 338, 222, 318, 206, 302, 198, 294)(199, 295, 207, 303, 224, 320, 213, 309, 231, 327, 255, 351, 279, 375, 282, 378, 259, 355, 247, 343, 225, 321, 208, 304)(201, 297, 211, 307, 229, 325, 252, 348, 262, 358, 284, 380, 276, 372, 249, 345, 227, 323, 209, 305, 226, 322, 212, 308)(203, 299, 215, 311, 234, 330, 221, 317, 241, 337, 269, 365, 288, 384, 273, 369, 245, 341, 261, 357, 235, 331, 216, 312)(205, 301, 219, 315, 239, 335, 266, 362, 248, 344, 275, 371, 285, 381, 263, 359, 237, 333, 217, 313, 236, 332, 220, 316)(223, 319, 243, 339, 271, 367, 246, 342, 274, 370, 251, 347, 278, 374, 254, 350, 230, 326, 253, 349, 272, 368, 244, 340)(233, 329, 257, 353, 280, 376, 260, 356, 283, 379, 265, 361, 287, 383, 268, 364, 240, 336, 267, 363, 281, 377, 258, 354)
	L = (1, 194)(2, 193)(3, 199)(4, 201)(5, 203)(6, 205)(7, 195)(8, 209)(9, 196)(10, 213)(11, 197)(12, 217)(13, 198)(14, 221)(15, 223)(16, 216)(17, 200)(18, 222)(19, 219)(20, 230)(21, 202)(22, 218)(23, 233)(24, 208)(25, 204)(26, 214)(27, 211)(28, 240)(29, 206)(30, 210)(31, 207)(32, 245)(33, 246)(34, 248)(35, 244)(36, 247)(37, 251)(38, 212)(39, 253)(40, 252)(41, 215)(42, 259)(43, 260)(44, 262)(45, 258)(46, 261)(47, 265)(48, 220)(49, 267)(50, 266)(51, 268)(52, 227)(53, 224)(54, 225)(55, 228)(56, 226)(57, 263)(58, 276)(59, 229)(60, 232)(61, 231)(62, 257)(63, 269)(64, 279)(65, 254)(66, 237)(67, 234)(68, 235)(69, 238)(70, 236)(71, 249)(72, 285)(73, 239)(74, 242)(75, 241)(76, 243)(77, 255)(78, 288)(79, 284)(80, 281)(81, 287)(82, 283)(83, 280)(84, 250)(85, 286)(86, 282)(87, 256)(88, 275)(89, 272)(90, 278)(91, 274)(92, 271)(93, 264)(94, 277)(95, 273)(96, 270)(97, 289)(98, 290)(99, 291)(100, 292)(101, 293)(102, 294)(103, 295)(104, 296)(105, 297)(106, 298)(107, 299)(108, 300)(109, 301)(110, 302)(111, 303)(112, 304)(113, 305)(114, 306)(115, 307)(116, 308)(117, 309)(118, 310)(119, 311)(120, 312)(121, 313)(122, 314)(123, 315)(124, 316)(125, 317)(126, 318)(127, 319)(128, 320)(129, 321)(130, 322)(131, 323)(132, 324)(133, 325)(134, 326)(135, 327)(136, 328)(137, 329)(138, 330)(139, 331)(140, 332)(141, 333)(142, 334)(143, 335)(144, 336)(145, 337)(146, 338)(147, 339)(148, 340)(149, 341)(150, 342)(151, 343)(152, 344)(153, 345)(154, 346)(155, 347)(156, 348)(157, 349)(158, 350)(159, 351)(160, 352)(161, 353)(162, 354)(163, 355)(164, 356)(165, 357)(166, 358)(167, 359)(168, 360)(169, 361)(170, 362)(171, 363)(172, 364)(173, 365)(174, 366)(175, 367)(176, 368)(177, 369)(178, 370)(179, 371)(180, 372)(181, 373)(182, 374)(183, 375)(184, 376)(185, 377)(186, 378)(187, 379)(188, 380)(189, 381)(190, 382)(191, 383)(192, 384)
	local type(s) :: { ( 2, 12, 2, 12 ), ( 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 E13.1480
Graph:: bipartite
	v = 56 e = 192 f = 112
	degree seq :: [ 4^48, 24^8 ]

E13.1480 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 12})
Quotient :: dipole
Aut^+ = D8 x A4 (small group id <96, 197>)
Aut   = $<192, 1472>$ (small group id <192, 1472>)
|r| :: 2
Presentation :: [ Y2, R^2, (Y1 * Y3)^2, (Y3^-1 * Y1^-1)^2, (R * Y3)^2, (R * Y1)^2, Y1^6, (R * Y2 * Y3^-1)^2, (Y1^-1 * Y3^2)^2, Y1^6, Y1^-1 * Y3^-1 * Y1 * Y3^2 * Y1 * Y3^-1 * Y1^-1, (Y3 * Y2^-1)^12 ]
Map:: polytopal
	R = (1, 97, 2, 98, 6, 102, 16, 112, 13, 109, 4, 100)(3, 99, 9, 105, 23, 119, 49, 145, 28, 124, 11, 107)(5, 101, 14, 110, 33, 129, 45, 141, 20, 116, 7, 103)(8, 104, 21, 117, 46, 142, 71, 167, 39, 135, 17, 113)(10, 106, 25, 121, 53, 149, 65, 161, 47, 143, 22, 118)(12, 108, 29, 125, 54, 150, 84, 180, 61, 157, 31, 127)(15, 111, 30, 126, 59, 155, 68, 164, 38, 134, 34, 130)(18, 114, 40, 136, 72, 168, 91, 187, 66, 162, 36, 132)(19, 115, 42, 138, 24, 120, 51, 147, 73, 169, 41, 137)(26, 122, 48, 144, 69, 165, 93, 189, 82, 178, 52, 148)(27, 123, 56, 152, 80, 176, 90, 186, 87, 183, 57, 153)(32, 128, 37, 133, 67, 163, 92, 188, 86, 182, 62, 158)(35, 131, 43, 139, 74, 170, 89, 185, 83, 179, 60, 156)(44, 140, 76, 172, 96, 192, 85, 181, 55, 151, 77, 173)(50, 146, 75, 171, 64, 160, 70, 166, 94, 190, 81, 177)(58, 154, 78, 174, 63, 159, 79, 175, 95, 191, 88, 184)(193, 289)(194, 290)(195, 291)(196, 292)(197, 293)(198, 294)(199, 295)(200, 296)(201, 297)(202, 298)(203, 299)(204, 300)(205, 301)(206, 302)(207, 303)(208, 304)(209, 305)(210, 306)(211, 307)(212, 308)(213, 309)(214, 310)(215, 311)(216, 312)(217, 313)(218, 314)(219, 315)(220, 316)(221, 317)(222, 318)(223, 319)(224, 320)(225, 321)(226, 322)(227, 323)(228, 324)(229, 325)(230, 326)(231, 327)(232, 328)(233, 329)(234, 330)(235, 331)(236, 332)(237, 333)(238, 334)(239, 335)(240, 336)(241, 337)(242, 338)(243, 339)(244, 340)(245, 341)(246, 342)(247, 343)(248, 344)(249, 345)(250, 346)(251, 347)(252, 348)(253, 349)(254, 350)(255, 351)(256, 352)(257, 353)(258, 354)(259, 355)(260, 356)(261, 357)(262, 358)(263, 359)(264, 360)(265, 361)(266, 362)(267, 363)(268, 364)(269, 365)(270, 366)(271, 367)(272, 368)(273, 369)(274, 370)(275, 371)(276, 372)(277, 373)(278, 374)(279, 375)(280, 376)(281, 377)(282, 378)(283, 379)(284, 380)(285, 381)(286, 382)(287, 383)(288, 384)
	L = (1, 195)(2, 199)(3, 202)(4, 204)(5, 193)(6, 209)(7, 211)(8, 194)(9, 196)(10, 218)(11, 219)(12, 222)(13, 224)(14, 226)(15, 197)(16, 228)(17, 230)(18, 198)(19, 235)(20, 236)(21, 239)(22, 200)(23, 234)(24, 201)(25, 203)(26, 247)(27, 206)(28, 250)(29, 205)(30, 252)(31, 242)(32, 243)(33, 249)(34, 231)(35, 207)(36, 257)(37, 208)(38, 261)(39, 262)(40, 265)(41, 210)(42, 212)(43, 267)(44, 213)(45, 270)(46, 269)(47, 258)(48, 214)(49, 273)(50, 215)(51, 274)(52, 216)(53, 221)(54, 217)(55, 278)(56, 220)(57, 275)(58, 276)(59, 223)(60, 279)(61, 280)(62, 277)(63, 225)(64, 227)(65, 281)(66, 282)(67, 251)(68, 229)(69, 248)(70, 232)(71, 255)(72, 256)(73, 254)(74, 233)(75, 253)(76, 237)(77, 244)(78, 241)(79, 238)(80, 240)(81, 285)(82, 286)(83, 245)(84, 288)(85, 246)(86, 287)(87, 283)(88, 284)(89, 268)(90, 259)(91, 271)(92, 272)(93, 260)(94, 263)(95, 264)(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 ) }
Outer automorphisms :: reflexible
Dual of E13.1479
Graph:: simple bipartite
	v = 112 e = 192 f = 56
	degree seq :: [ 2^96, 12^16 ]

E13.1481 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 6, 12})
Quotient :: regular
Aut^+ = C2 x (SL(2,3) : C2) (small group id <96, 200>)
Aut   = $<192, 1481>$ (small group id <192, 1481>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T1 * T2 * T1^-3 * T2 * T1^2, (T2 * T1^-1 * T2 * T1^-2)^2, (T1 * T2)^6, T1^12 ]
Map:: polytopal non-degenerate
	R = (1, 2, 5, 11, 23, 43, 70, 69, 42, 22, 10, 4)(3, 7, 15, 24, 45, 73, 90, 83, 63, 37, 18, 8)(6, 13, 27, 44, 72, 59, 88, 68, 41, 21, 30, 14)(9, 19, 26, 12, 25, 46, 71, 61, 81, 67, 40, 20)(16, 32, 57, 74, 53, 29, 52, 79, 49, 36, 60, 33)(17, 34, 56, 31, 55, 85, 65, 38, 64, 76, 47, 35)(28, 50, 39, 66, 78, 48, 77, 91, 75, 54, 82, 51)(58, 80, 62, 84, 92, 86, 93, 96, 95, 89, 94, 87)
	L = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 17)(10, 21)(11, 24)(13, 28)(14, 29)(15, 31)(18, 36)(19, 38)(20, 39)(22, 37)(23, 44)(25, 47)(26, 48)(27, 49)(30, 54)(32, 58)(33, 59)(34, 61)(35, 62)(40, 55)(41, 57)(42, 67)(43, 71)(45, 74)(46, 75)(50, 80)(51, 81)(52, 83)(53, 84)(56, 86)(60, 89)(63, 76)(64, 87)(65, 73)(66, 72)(68, 77)(69, 88)(70, 90)(78, 92)(79, 93)(82, 94)(85, 95)(91, 96)
	local type(s) :: { ( 6^12 ) }
Outer automorphisms :: reflexible
Dual of E13.1482
Transitivity :: ET+ VT+ AT+ REG+
Graph:: bipartite
	v = 8 e = 48 f = 16
	degree seq :: [ 12^8 ]

E13.1482 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 6, 12})
Quotient :: regular
Aut^+ = C2 x (SL(2,3) : C2) (small group id <96, 200>)
Aut   = $<192, 1481>$ (small group id <192, 1481>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T1^6, (T1^-1 * T2 * T1^-2)^2, T2 * T1^-1 * T2 * T1^-1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1^-1, T2 * T1 * T2 * T1^-1 * T2 * T1^2 * T2 * T1^-1 * T2 * T1 * T2 * T1^-2 ]
Map:: polytopal non-degenerate
	R = (1, 2, 5, 11, 10, 4)(3, 7, 15, 22, 18, 8)(6, 13, 25, 21, 28, 14)(9, 19, 24, 12, 23, 20)(16, 30, 47, 34, 50, 31)(17, 32, 46, 29, 45, 33)(26, 40, 63, 44, 66, 41)(27, 42, 62, 39, 61, 43)(35, 53, 58, 37, 57, 54)(36, 55, 60, 38, 59, 56)(48, 64, 79, 75, 87, 72)(49, 73, 81, 71, 89, 74)(51, 65, 86, 69, 85, 76)(52, 68, 82, 70, 84, 77)(67, 80, 92, 83, 78, 88)(90, 93, 96, 95, 91, 94)
	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, 72)(54, 78)(55, 74)(56, 77)(57, 79)(58, 80)(59, 81)(60, 82)(61, 83)(62, 84)(63, 85)(66, 87)(73, 90)(76, 91)(86, 93)(88, 94)(89, 95)(92, 96)
	local type(s) :: { ( 12^6 ) }
Outer automorphisms :: reflexible
Dual of E13.1481
Transitivity :: ET+ VT+ AT+ REG+
Graph:: bipartite
	v = 16 e = 48 f = 8
	degree seq :: [ 6^16 ]

E13.1483 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 6, 12})
Quotient :: edge
Aut^+ = C2 x (SL(2,3) : C2) (small group id <96, 200>)
Aut   = $<192, 1481>$ (small group id <192, 1481>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, T2^6, (T2^-1 * T1 * T2^-2)^2, T2 * T1 * T2 * T1 * T2 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1, T2^-1 * T1 * T2 * T1 * T2^-1 * T1 * T2^2 * T1 * T2^-1 * T1 * T2 * T1 * T2^-1 ]
Map:: polytopal
	R = (1, 3, 8, 18, 10, 4)(2, 5, 12, 25, 14, 6)(7, 15, 30, 21, 32, 16)(9, 19, 34, 17, 33, 20)(11, 22, 38, 28, 40, 23)(13, 26, 42, 24, 41, 27)(29, 45, 69, 50, 70, 46)(31, 48, 72, 47, 71, 49)(35, 53, 75, 51, 74, 54)(36, 55, 77, 52, 76, 56)(37, 57, 79, 62, 80, 58)(39, 60, 82, 59, 81, 61)(43, 65, 85, 63, 84, 66)(44, 67, 87, 64, 86, 68)(73, 90, 95, 89, 78, 91)(83, 93, 96, 92, 88, 94)(97, 98)(99, 103)(100, 105)(101, 107)(102, 109)(104, 113)(106, 117)(108, 120)(110, 124)(111, 125)(112, 127)(114, 121)(115, 131)(116, 132)(118, 133)(119, 135)(122, 139)(123, 140)(126, 143)(128, 146)(129, 147)(130, 148)(134, 155)(136, 158)(137, 159)(138, 160)(141, 153)(142, 161)(144, 169)(145, 163)(149, 154)(150, 174)(151, 157)(152, 164)(156, 179)(162, 184)(165, 180)(166, 176)(167, 185)(168, 182)(170, 175)(171, 186)(172, 178)(173, 183)(177, 188)(181, 189)(187, 190)(191, 192)
	L = (1, 97)(2, 98)(3, 99)(4, 100)(5, 101)(6, 102)(7, 103)(8, 104)(9, 105)(10, 106)(11, 107)(12, 108)(13, 109)(14, 110)(15, 111)(16, 112)(17, 113)(18, 114)(19, 115)(20, 116)(21, 117)(22, 118)(23, 119)(24, 120)(25, 121)(26, 122)(27, 123)(28, 124)(29, 125)(30, 126)(31, 127)(32, 128)(33, 129)(34, 130)(35, 131)(36, 132)(37, 133)(38, 134)(39, 135)(40, 136)(41, 137)(42, 138)(43, 139)(44, 140)(45, 141)(46, 142)(47, 143)(48, 144)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 24, 24 ), ( 24^6 ) }
Outer automorphisms :: reflexible
Dual of E13.1487
Transitivity :: ET+
Graph:: simple bipartite
	v = 64 e = 96 f = 8
	degree seq :: [ 2^48, 6^16 ]

E13.1484 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 6, 12})
Quotient :: edge
Aut^+ = C2 x (SL(2,3) : C2) (small group id <96, 200>)
Aut   = $<192, 1481>$ (small group id <192, 1481>)
|r| :: 2
Presentation :: [ F^2, (T2 * T1)^2, (F * T1)^2, (F * T2)^2, (T2^-1 * T1^2)^2, T1^6, T2^-3 * T1 * T2^3 * T1^-1, T2^2 * T1^-1 * T2^-4 * T1^-1, T1^-1 * T2^2 * T1^-1 * T2^8 ]
Map:: polytopal non-degenerate
	R = (1, 3, 10, 26, 55, 84, 94, 78, 47, 35, 15, 5)(2, 7, 19, 42, 27, 57, 85, 90, 70, 48, 22, 8)(4, 12, 30, 56, 72, 91, 86, 63, 34, 52, 24, 9)(6, 17, 38, 67, 43, 74, 93, 83, 61, 71, 40, 18)(11, 28, 58, 66, 39, 69, 62, 33, 14, 32, 54, 25)(13, 31, 60, 82, 53, 81, 95, 80, 51, 79, 59, 29)(16, 36, 64, 87, 68, 89, 96, 92, 76, 88, 65, 37)(20, 44, 75, 50, 23, 49, 77, 46, 21, 45, 73, 41)(97, 98, 102, 112, 109, 100)(99, 105, 119, 132, 114, 107)(101, 110, 127, 133, 116, 103)(104, 117, 108, 125, 135, 113)(106, 121, 149, 160, 146, 123)(111, 130, 140, 161, 157, 128)(115, 137, 168, 156, 129, 139)(118, 143, 165, 155, 172, 141)(120, 147, 124, 136, 166, 145)(122, 138, 163, 183, 178, 152)(126, 142, 164, 134, 162, 151)(131, 144, 167, 184, 175, 148)(150, 179, 153, 171, 159, 177)(154, 176, 185, 173, 186, 180)(158, 174, 187, 169, 188, 170)(181, 189, 192, 191, 182, 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) :: { ( 4^6 ), ( 4^12 ) }
Outer automorphisms :: reflexible
Dual of E13.1488
Transitivity :: ET+
Graph:: simple bipartite
	v = 24 e = 96 f = 48
	degree seq :: [ 6^16, 12^8 ]

E13.1485 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 6, 12})
Quotient :: edge
Aut^+ = C2 x (SL(2,3) : C2) (small group id <96, 200>)
Aut   = $<192, 1481>$ (small group id <192, 1481>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T1 * T2 * T1^-3 * T2 * T1^2, (T2 * T1^-1 * T2 * T1^-2)^2, (T2 * T1)^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, 31)(18, 36)(19, 38)(20, 39)(22, 37)(23, 44)(25, 47)(26, 48)(27, 49)(30, 54)(32, 58)(33, 59)(34, 61)(35, 62)(40, 55)(41, 57)(42, 67)(43, 71)(45, 74)(46, 75)(50, 80)(51, 81)(52, 83)(53, 84)(56, 86)(60, 89)(63, 76)(64, 87)(65, 73)(66, 72)(68, 77)(69, 88)(70, 90)(78, 92)(79, 93)(82, 94)(85, 95)(91, 96)(97, 98, 101, 107, 119, 139, 166, 165, 138, 118, 106, 100)(99, 103, 111, 120, 141, 169, 186, 179, 159, 133, 114, 104)(102, 109, 123, 140, 168, 155, 184, 164, 137, 117, 126, 110)(105, 115, 122, 108, 121, 142, 167, 157, 177, 163, 136, 116)(112, 128, 153, 170, 149, 125, 148, 175, 145, 132, 156, 129)(113, 130, 152, 127, 151, 181, 161, 134, 160, 172, 143, 131)(124, 146, 135, 162, 174, 144, 173, 187, 171, 150, 178, 147)(154, 176, 158, 180, 188, 182, 189, 192, 191, 185, 190, 183)
	L = (1, 97)(2, 98)(3, 99)(4, 100)(5, 101)(6, 102)(7, 103)(8, 104)(9, 105)(10, 106)(11, 107)(12, 108)(13, 109)(14, 110)(15, 111)(16, 112)(17, 113)(18, 114)(19, 115)(20, 116)(21, 117)(22, 118)(23, 119)(24, 120)(25, 121)(26, 122)(27, 123)(28, 124)(29, 125)(30, 126)(31, 127)(32, 128)(33, 129)(34, 130)(35, 131)(36, 132)(37, 133)(38, 134)(39, 135)(40, 136)(41, 137)(42, 138)(43, 139)(44, 140)(45, 141)(46, 142)(47, 143)(48, 144)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 12, 12 ), ( 12^12 ) }
Outer automorphisms :: reflexible
Dual of E13.1486
Transitivity :: ET+
Graph:: simple bipartite
	v = 56 e = 96 f = 16
	degree seq :: [ 2^48, 12^8 ]

E13.1486 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 6, 12})
Quotient :: loop
Aut^+ = C2 x (SL(2,3) : C2) (small group id <96, 200>)
Aut   = $<192, 1481>$ (small group id <192, 1481>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, T2^6, (T2^-1 * T1 * T2^-2)^2, T2 * T1 * T2 * T1 * T2 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1, T2^-1 * T1 * T2 * T1 * T2^-1 * T1 * T2^2 * T1 * T2^-1 * T1 * T2 * T1 * T2^-1 ]
Map::
	R = (1, 97, 3, 99, 8, 104, 18, 114, 10, 106, 4, 100)(2, 98, 5, 101, 12, 108, 25, 121, 14, 110, 6, 102)(7, 103, 15, 111, 30, 126, 21, 117, 32, 128, 16, 112)(9, 105, 19, 115, 34, 130, 17, 113, 33, 129, 20, 116)(11, 107, 22, 118, 38, 134, 28, 124, 40, 136, 23, 119)(13, 109, 26, 122, 42, 138, 24, 120, 41, 137, 27, 123)(29, 125, 45, 141, 69, 165, 50, 146, 70, 166, 46, 142)(31, 127, 48, 144, 72, 168, 47, 143, 71, 167, 49, 145)(35, 131, 53, 149, 75, 171, 51, 147, 74, 170, 54, 150)(36, 132, 55, 151, 77, 173, 52, 148, 76, 172, 56, 152)(37, 133, 57, 153, 79, 175, 62, 158, 80, 176, 58, 154)(39, 135, 60, 156, 82, 178, 59, 155, 81, 177, 61, 157)(43, 139, 65, 161, 85, 181, 63, 159, 84, 180, 66, 162)(44, 140, 67, 163, 87, 183, 64, 160, 86, 182, 68, 164)(73, 169, 90, 186, 95, 191, 89, 185, 78, 174, 91, 187)(83, 179, 93, 189, 96, 192, 92, 188, 88, 184, 94, 190)
	L = (1, 98)(2, 97)(3, 103)(4, 105)(5, 107)(6, 109)(7, 99)(8, 113)(9, 100)(10, 117)(11, 101)(12, 120)(13, 102)(14, 124)(15, 125)(16, 127)(17, 104)(18, 121)(19, 131)(20, 132)(21, 106)(22, 133)(23, 135)(24, 108)(25, 114)(26, 139)(27, 140)(28, 110)(29, 111)(30, 143)(31, 112)(32, 146)(33, 147)(34, 148)(35, 115)(36, 116)(37, 118)(38, 155)(39, 119)(40, 158)(41, 159)(42, 160)(43, 122)(44, 123)(45, 153)(46, 161)(47, 126)(48, 169)(49, 163)(50, 128)(51, 129)(52, 130)(53, 154)(54, 174)(55, 157)(56, 164)(57, 141)(58, 149)(59, 134)(60, 179)(61, 151)(62, 136)(63, 137)(64, 138)(65, 142)(66, 184)(67, 145)(68, 152)(69, 180)(70, 176)(71, 185)(72, 182)(73, 144)(74, 175)(75, 186)(76, 178)(77, 183)(78, 150)(79, 170)(80, 166)(81, 188)(82, 172)(83, 156)(84, 165)(85, 189)(86, 168)(87, 173)(88, 162)(89, 167)(90, 171)(91, 190)(92, 177)(93, 181)(94, 187)(95, 192)(96, 191)
	local type(s) :: { ( 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12 ) }
Outer automorphisms :: reflexible
Dual of E13.1485
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 16 e = 96 f = 56
	degree seq :: [ 12^16 ]

E13.1487 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 6, 12})
Quotient :: loop
Aut^+ = C2 x (SL(2,3) : C2) (small group id <96, 200>)
Aut   = $<192, 1481>$ (small group id <192, 1481>)
|r| :: 2
Presentation :: [ F^2, (T2 * T1)^2, (F * T1)^2, (F * T2)^2, (T2^-1 * T1^2)^2, T1^6, T2^-3 * T1 * T2^3 * T1^-1, T2^2 * T1^-1 * T2^-4 * T1^-1, T1^-1 * T2^2 * T1^-1 * T2^8 ]
Map::
	R = (1, 97, 3, 99, 10, 106, 26, 122, 55, 151, 84, 180, 94, 190, 78, 174, 47, 143, 35, 131, 15, 111, 5, 101)(2, 98, 7, 103, 19, 115, 42, 138, 27, 123, 57, 153, 85, 181, 90, 186, 70, 166, 48, 144, 22, 118, 8, 104)(4, 100, 12, 108, 30, 126, 56, 152, 72, 168, 91, 187, 86, 182, 63, 159, 34, 130, 52, 148, 24, 120, 9, 105)(6, 102, 17, 113, 38, 134, 67, 163, 43, 139, 74, 170, 93, 189, 83, 179, 61, 157, 71, 167, 40, 136, 18, 114)(11, 107, 28, 124, 58, 154, 66, 162, 39, 135, 69, 165, 62, 158, 33, 129, 14, 110, 32, 128, 54, 150, 25, 121)(13, 109, 31, 127, 60, 156, 82, 178, 53, 149, 81, 177, 95, 191, 80, 176, 51, 147, 79, 175, 59, 155, 29, 125)(16, 112, 36, 132, 64, 160, 87, 183, 68, 164, 89, 185, 96, 192, 92, 188, 76, 172, 88, 184, 65, 161, 37, 133)(20, 116, 44, 140, 75, 171, 50, 146, 23, 119, 49, 145, 77, 173, 46, 142, 21, 117, 45, 141, 73, 169, 41, 137)
	L = (1, 98)(2, 102)(3, 105)(4, 97)(5, 110)(6, 112)(7, 101)(8, 117)(9, 119)(10, 121)(11, 99)(12, 125)(13, 100)(14, 127)(15, 130)(16, 109)(17, 104)(18, 107)(19, 137)(20, 103)(21, 108)(22, 143)(23, 132)(24, 147)(25, 149)(26, 138)(27, 106)(28, 136)(29, 135)(30, 142)(31, 133)(32, 111)(33, 139)(34, 140)(35, 144)(36, 114)(37, 116)(38, 162)(39, 113)(40, 166)(41, 168)(42, 163)(43, 115)(44, 161)(45, 118)(46, 164)(47, 165)(48, 167)(49, 120)(50, 123)(51, 124)(52, 131)(53, 160)(54, 179)(55, 126)(56, 122)(57, 171)(58, 176)(59, 172)(60, 129)(61, 128)(62, 174)(63, 177)(64, 146)(65, 157)(66, 151)(67, 183)(68, 134)(69, 155)(70, 145)(71, 184)(72, 156)(73, 188)(74, 158)(75, 159)(76, 141)(77, 186)(78, 187)(79, 148)(80, 185)(81, 150)(82, 152)(83, 153)(84, 154)(85, 189)(86, 190)(87, 178)(88, 175)(89, 173)(90, 180)(91, 169)(92, 170)(93, 192)(94, 181)(95, 182)(96, 191)
	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 E13.1483
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 8 e = 96 f = 64
	degree seq :: [ 24^8 ]

E13.1488 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 6, 12})
Quotient :: loop
Aut^+ = C2 x (SL(2,3) : C2) (small group id <96, 200>)
Aut   = $<192, 1481>$ (small group id <192, 1481>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T1 * T2 * T1^-3 * T2 * T1^2, (T2 * T1^-1 * T2 * T1^-2)^2, (T2 * T1)^6, T1^12 ]
Map:: polytopal non-degenerate
	R = (1, 97, 3, 99)(2, 98, 6, 102)(4, 100, 9, 105)(5, 101, 12, 108)(7, 103, 16, 112)(8, 104, 17, 113)(10, 106, 21, 117)(11, 107, 24, 120)(13, 109, 28, 124)(14, 110, 29, 125)(15, 111, 31, 127)(18, 114, 36, 132)(19, 115, 38, 134)(20, 116, 39, 135)(22, 118, 37, 133)(23, 119, 44, 140)(25, 121, 47, 143)(26, 122, 48, 144)(27, 123, 49, 145)(30, 126, 54, 150)(32, 128, 58, 154)(33, 129, 59, 155)(34, 130, 61, 157)(35, 131, 62, 158)(40, 136, 55, 151)(41, 137, 57, 153)(42, 138, 67, 163)(43, 139, 71, 167)(45, 141, 74, 170)(46, 142, 75, 171)(50, 146, 80, 176)(51, 147, 81, 177)(52, 148, 83, 179)(53, 149, 84, 180)(56, 152, 86, 182)(60, 156, 89, 185)(63, 159, 76, 172)(64, 160, 87, 183)(65, 161, 73, 169)(66, 162, 72, 168)(68, 164, 77, 173)(69, 165, 88, 184)(70, 166, 90, 186)(78, 174, 92, 188)(79, 175, 93, 189)(82, 178, 94, 190)(85, 181, 95, 191)(91, 187, 96, 192)
	L = (1, 98)(2, 101)(3, 103)(4, 97)(5, 107)(6, 109)(7, 111)(8, 99)(9, 115)(10, 100)(11, 119)(12, 121)(13, 123)(14, 102)(15, 120)(16, 128)(17, 130)(18, 104)(19, 122)(20, 105)(21, 126)(22, 106)(23, 139)(24, 141)(25, 142)(26, 108)(27, 140)(28, 146)(29, 148)(30, 110)(31, 151)(32, 153)(33, 112)(34, 152)(35, 113)(36, 156)(37, 114)(38, 160)(39, 162)(40, 116)(41, 117)(42, 118)(43, 166)(44, 168)(45, 169)(46, 167)(47, 131)(48, 173)(49, 132)(50, 135)(51, 124)(52, 175)(53, 125)(54, 178)(55, 181)(56, 127)(57, 170)(58, 176)(59, 184)(60, 129)(61, 177)(62, 180)(63, 133)(64, 172)(65, 134)(66, 174)(67, 136)(68, 137)(69, 138)(70, 165)(71, 157)(72, 155)(73, 186)(74, 149)(75, 150)(76, 143)(77, 187)(78, 144)(79, 145)(80, 158)(81, 163)(82, 147)(83, 159)(84, 188)(85, 161)(86, 189)(87, 154)(88, 164)(89, 190)(90, 179)(91, 171)(92, 182)(93, 192)(94, 183)(95, 185)(96, 191)
	local type(s) :: { ( 6, 12, 6, 12 ) }
Outer automorphisms :: reflexible
Dual of E13.1484
Transitivity :: ET+ VT+ AT
Graph:: simple bipartite
	v = 48 e = 96 f = 24
	degree seq :: [ 4^48 ]

E13.1489 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 12})
Quotient :: dipole
Aut^+ = C2 x (SL(2,3) : C2) (small group id <96, 200>)
Aut   = $<192, 1481>$ (small group id <192, 1481>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y2^6, (Y2^-1 * Y1 * Y2^-2)^2, (Y2^-2 * R * Y2^-1)^2, Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1, Y2^-1 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2^2 * Y1 * Y2^-1 * Y1 * Y2 * Y1 * Y2^-1, (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, 24, 120)(14, 110, 28, 124)(15, 111, 29, 125)(16, 112, 31, 127)(18, 114, 25, 121)(19, 115, 35, 131)(20, 116, 36, 132)(22, 118, 37, 133)(23, 119, 39, 135)(26, 122, 43, 139)(27, 123, 44, 140)(30, 126, 47, 143)(32, 128, 50, 146)(33, 129, 51, 147)(34, 130, 52, 148)(38, 134, 59, 155)(40, 136, 62, 158)(41, 137, 63, 159)(42, 138, 64, 160)(45, 141, 57, 153)(46, 142, 65, 161)(48, 144, 73, 169)(49, 145, 67, 163)(53, 149, 58, 154)(54, 150, 78, 174)(55, 151, 61, 157)(56, 152, 68, 164)(60, 156, 83, 179)(66, 162, 88, 184)(69, 165, 84, 180)(70, 166, 80, 176)(71, 167, 89, 185)(72, 168, 86, 182)(74, 170, 79, 175)(75, 171, 90, 186)(76, 172, 82, 178)(77, 173, 87, 183)(81, 177, 92, 188)(85, 181, 93, 189)(91, 187, 94, 190)(95, 191, 96, 192)(193, 289, 195, 291, 200, 296, 210, 306, 202, 298, 196, 292)(194, 290, 197, 293, 204, 300, 217, 313, 206, 302, 198, 294)(199, 295, 207, 303, 222, 318, 213, 309, 224, 320, 208, 304)(201, 297, 211, 307, 226, 322, 209, 305, 225, 321, 212, 308)(203, 299, 214, 310, 230, 326, 220, 316, 232, 328, 215, 311)(205, 301, 218, 314, 234, 330, 216, 312, 233, 329, 219, 315)(221, 317, 237, 333, 261, 357, 242, 338, 262, 358, 238, 334)(223, 319, 240, 336, 264, 360, 239, 335, 263, 359, 241, 337)(227, 323, 245, 341, 267, 363, 243, 339, 266, 362, 246, 342)(228, 324, 247, 343, 269, 365, 244, 340, 268, 364, 248, 344)(229, 325, 249, 345, 271, 367, 254, 350, 272, 368, 250, 346)(231, 327, 252, 348, 274, 370, 251, 347, 273, 369, 253, 349)(235, 331, 257, 353, 277, 373, 255, 351, 276, 372, 258, 354)(236, 332, 259, 355, 279, 375, 256, 352, 278, 374, 260, 356)(265, 361, 282, 378, 287, 383, 281, 377, 270, 366, 283, 379)(275, 371, 285, 381, 288, 384, 284, 380, 280, 376, 286, 382)
	L = (1, 194)(2, 193)(3, 199)(4, 201)(5, 203)(6, 205)(7, 195)(8, 209)(9, 196)(10, 213)(11, 197)(12, 216)(13, 198)(14, 220)(15, 221)(16, 223)(17, 200)(18, 217)(19, 227)(20, 228)(21, 202)(22, 229)(23, 231)(24, 204)(25, 210)(26, 235)(27, 236)(28, 206)(29, 207)(30, 239)(31, 208)(32, 242)(33, 243)(34, 244)(35, 211)(36, 212)(37, 214)(38, 251)(39, 215)(40, 254)(41, 255)(42, 256)(43, 218)(44, 219)(45, 249)(46, 257)(47, 222)(48, 265)(49, 259)(50, 224)(51, 225)(52, 226)(53, 250)(54, 270)(55, 253)(56, 260)(57, 237)(58, 245)(59, 230)(60, 275)(61, 247)(62, 232)(63, 233)(64, 234)(65, 238)(66, 280)(67, 241)(68, 248)(69, 276)(70, 272)(71, 281)(72, 278)(73, 240)(74, 271)(75, 282)(76, 274)(77, 279)(78, 246)(79, 266)(80, 262)(81, 284)(82, 268)(83, 252)(84, 261)(85, 285)(86, 264)(87, 269)(88, 258)(89, 263)(90, 267)(91, 286)(92, 273)(93, 277)(94, 283)(95, 288)(96, 287)(97, 289)(98, 290)(99, 291)(100, 292)(101, 293)(102, 294)(103, 295)(104, 296)(105, 297)(106, 298)(107, 299)(108, 300)(109, 301)(110, 302)(111, 303)(112, 304)(113, 305)(114, 306)(115, 307)(116, 308)(117, 309)(118, 310)(119, 311)(120, 312)(121, 313)(122, 314)(123, 315)(124, 316)(125, 317)(126, 318)(127, 319)(128, 320)(129, 321)(130, 322)(131, 323)(132, 324)(133, 325)(134, 326)(135, 327)(136, 328)(137, 329)(138, 330)(139, 331)(140, 332)(141, 333)(142, 334)(143, 335)(144, 336)(145, 337)(146, 338)(147, 339)(148, 340)(149, 341)(150, 342)(151, 343)(152, 344)(153, 345)(154, 346)(155, 347)(156, 348)(157, 349)(158, 350)(159, 351)(160, 352)(161, 353)(162, 354)(163, 355)(164, 356)(165, 357)(166, 358)(167, 359)(168, 360)(169, 361)(170, 362)(171, 363)(172, 364)(173, 365)(174, 366)(175, 367)(176, 368)(177, 369)(178, 370)(179, 371)(180, 372)(181, 373)(182, 374)(183, 375)(184, 376)(185, 377)(186, 378)(187, 379)(188, 380)(189, 381)(190, 382)(191, 383)(192, 384)
	local type(s) :: { ( 2, 24, 2, 24 ), ( 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24 ) }
Outer automorphisms :: reflexible
Dual of E13.1492
Graph:: bipartite
	v = 64 e = 192 f = 104
	degree seq :: [ 4^48, 12^16 ]

E13.1490 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 12})
Quotient :: dipole
Aut^+ = C2 x (SL(2,3) : C2) (small group id <96, 200>)
Aut   = $<192, 1481>$ (small group id <192, 1481>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, (Y2 * Y1)^2, (Y3^-1 * Y1^-1)^2, (Y2 * Y1)^2, (R * Y1)^2, (R * Y3)^2, Y1^6, (Y1^-1 * Y2 * Y1^-1)^2, Y2^-3 * Y1 * Y2^3 * Y1^-1 ]
Map::
	R = (1, 97, 2, 98, 6, 102, 16, 112, 13, 109, 4, 100)(3, 99, 9, 105, 23, 119, 36, 132, 18, 114, 11, 107)(5, 101, 14, 110, 31, 127, 37, 133, 20, 116, 7, 103)(8, 104, 21, 117, 12, 108, 29, 125, 39, 135, 17, 113)(10, 106, 25, 121, 53, 149, 64, 160, 50, 146, 27, 123)(15, 111, 34, 130, 44, 140, 65, 161, 61, 157, 32, 128)(19, 115, 41, 137, 72, 168, 60, 156, 33, 129, 43, 139)(22, 118, 47, 143, 69, 165, 59, 155, 76, 172, 45, 141)(24, 120, 51, 147, 28, 124, 40, 136, 70, 166, 49, 145)(26, 122, 42, 138, 67, 163, 87, 183, 82, 178, 56, 152)(30, 126, 46, 142, 68, 164, 38, 134, 66, 162, 55, 151)(35, 131, 48, 144, 71, 167, 88, 184, 79, 175, 52, 148)(54, 150, 83, 179, 57, 153, 75, 171, 63, 159, 81, 177)(58, 154, 80, 176, 89, 185, 77, 173, 90, 186, 84, 180)(62, 158, 78, 174, 91, 187, 73, 169, 92, 188, 74, 170)(85, 181, 93, 189, 96, 192, 95, 191, 86, 182, 94, 190)(193, 289, 195, 291, 202, 298, 218, 314, 247, 343, 276, 372, 286, 382, 270, 366, 239, 335, 227, 323, 207, 303, 197, 293)(194, 290, 199, 295, 211, 307, 234, 330, 219, 315, 249, 345, 277, 373, 282, 378, 262, 358, 240, 336, 214, 310, 200, 296)(196, 292, 204, 300, 222, 318, 248, 344, 264, 360, 283, 379, 278, 374, 255, 351, 226, 322, 244, 340, 216, 312, 201, 297)(198, 294, 209, 305, 230, 326, 259, 355, 235, 331, 266, 362, 285, 381, 275, 371, 253, 349, 263, 359, 232, 328, 210, 306)(203, 299, 220, 316, 250, 346, 258, 354, 231, 327, 261, 357, 254, 350, 225, 321, 206, 302, 224, 320, 246, 342, 217, 313)(205, 301, 223, 319, 252, 348, 274, 370, 245, 341, 273, 369, 287, 383, 272, 368, 243, 339, 271, 367, 251, 347, 221, 317)(208, 304, 228, 324, 256, 352, 279, 375, 260, 356, 281, 377, 288, 384, 284, 380, 268, 364, 280, 376, 257, 353, 229, 325)(212, 308, 236, 332, 267, 363, 242, 338, 215, 311, 241, 337, 269, 365, 238, 334, 213, 309, 237, 333, 265, 361, 233, 329)
	L = (1, 195)(2, 199)(3, 202)(4, 204)(5, 193)(6, 209)(7, 211)(8, 194)(9, 196)(10, 218)(11, 220)(12, 222)(13, 223)(14, 224)(15, 197)(16, 228)(17, 230)(18, 198)(19, 234)(20, 236)(21, 237)(22, 200)(23, 241)(24, 201)(25, 203)(26, 247)(27, 249)(28, 250)(29, 205)(30, 248)(31, 252)(32, 246)(33, 206)(34, 244)(35, 207)(36, 256)(37, 208)(38, 259)(39, 261)(40, 210)(41, 212)(42, 219)(43, 266)(44, 267)(45, 265)(46, 213)(47, 227)(48, 214)(49, 269)(50, 215)(51, 271)(52, 216)(53, 273)(54, 217)(55, 276)(56, 264)(57, 277)(58, 258)(59, 221)(60, 274)(61, 263)(62, 225)(63, 226)(64, 279)(65, 229)(66, 231)(67, 235)(68, 281)(69, 254)(70, 240)(71, 232)(72, 283)(73, 233)(74, 285)(75, 242)(76, 280)(77, 238)(78, 239)(79, 251)(80, 243)(81, 287)(82, 245)(83, 253)(84, 286)(85, 282)(86, 255)(87, 260)(88, 257)(89, 288)(90, 262)(91, 278)(92, 268)(93, 275)(94, 270)(95, 272)(96, 284)(97, 289)(98, 290)(99, 291)(100, 292)(101, 293)(102, 294)(103, 295)(104, 296)(105, 297)(106, 298)(107, 299)(108, 300)(109, 301)(110, 302)(111, 303)(112, 304)(113, 305)(114, 306)(115, 307)(116, 308)(117, 309)(118, 310)(119, 311)(120, 312)(121, 313)(122, 314)(123, 315)(124, 316)(125, 317)(126, 318)(127, 319)(128, 320)(129, 321)(130, 322)(131, 323)(132, 324)(133, 325)(134, 326)(135, 327)(136, 328)(137, 329)(138, 330)(139, 331)(140, 332)(141, 333)(142, 334)(143, 335)(144, 336)(145, 337)(146, 338)(147, 339)(148, 340)(149, 341)(150, 342)(151, 343)(152, 344)(153, 345)(154, 346)(155, 347)(156, 348)(157, 349)(158, 350)(159, 351)(160, 352)(161, 353)(162, 354)(163, 355)(164, 356)(165, 357)(166, 358)(167, 359)(168, 360)(169, 361)(170, 362)(171, 363)(172, 364)(173, 365)(174, 366)(175, 367)(176, 368)(177, 369)(178, 370)(179, 371)(180, 372)(181, 373)(182, 374)(183, 375)(184, 376)(185, 377)(186, 378)(187, 379)(188, 380)(189, 381)(190, 382)(191, 383)(192, 384)
	local type(s) :: { ( 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4 ), ( 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 E13.1491
Graph:: bipartite
	v = 24 e = 192 f = 144
	degree seq :: [ 12^16, 24^8 ]

E13.1491 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 12})
Quotient :: dipole
Aut^+ = C2 x (SL(2,3) : C2) (small group id <96, 200>)
Aut   = $<192, 1481>$ (small group id <192, 1481>)
|r| :: 2
Presentation :: [ Y1, Y2^2, R^2, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y3^3 * Y2 * Y3^-3 * Y2, (Y3^2 * Y2 * Y3 * Y2)^2, (Y3^-1 * Y2)^6, (Y3^-1 * Y1^-1)^12 ]
Map:: polytopal
	R = (1, 97)(2, 98)(3, 99)(4, 100)(5, 101)(6, 102)(7, 103)(8, 104)(9, 105)(10, 106)(11, 107)(12, 108)(13, 109)(14, 110)(15, 111)(16, 112)(17, 113)(18, 114)(19, 115)(20, 116)(21, 117)(22, 118)(23, 119)(24, 120)(25, 121)(26, 122)(27, 123)(28, 124)(29, 125)(30, 126)(31, 127)(32, 128)(33, 129)(34, 130)(35, 131)(36, 132)(37, 133)(38, 134)(39, 135)(40, 136)(41, 137)(42, 138)(43, 139)(44, 140)(45, 141)(46, 142)(47, 143)(48, 144)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)(193, 289, 194, 290)(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, 223, 319)(208, 304, 225, 321)(210, 306, 218, 314)(211, 307, 230, 326)(212, 308, 231, 327)(214, 310, 222, 318)(215, 311, 235, 331)(216, 312, 237, 333)(219, 315, 242, 338)(220, 316, 243, 339)(224, 320, 245, 341)(226, 322, 252, 348)(227, 323, 244, 340)(228, 324, 254, 350)(229, 325, 249, 345)(232, 328, 239, 335)(233, 329, 236, 332)(234, 330, 259, 355)(238, 334, 267, 363)(240, 336, 269, 365)(241, 337, 264, 360)(246, 342, 274, 370)(247, 343, 262, 358)(248, 344, 271, 367)(250, 346, 276, 372)(251, 347, 273, 369)(253, 349, 278, 374)(255, 351, 272, 368)(256, 352, 263, 359)(257, 353, 270, 366)(258, 354, 266, 362)(260, 356, 279, 375)(261, 357, 265, 361)(268, 364, 283, 379)(275, 371, 284, 380)(277, 373, 282, 378)(280, 376, 285, 381)(281, 377, 286, 382)(287, 383, 288, 384)
	L = (1, 195)(2, 197)(3, 200)(4, 193)(5, 204)(6, 194)(7, 207)(8, 210)(9, 211)(10, 196)(11, 215)(12, 218)(13, 219)(14, 198)(15, 224)(16, 199)(17, 227)(18, 229)(19, 228)(20, 201)(21, 226)(22, 202)(23, 236)(24, 203)(25, 239)(26, 241)(27, 240)(28, 205)(29, 238)(30, 206)(31, 247)(32, 249)(33, 250)(34, 208)(35, 253)(36, 209)(37, 255)(38, 256)(39, 258)(40, 212)(41, 213)(42, 214)(43, 262)(44, 264)(45, 265)(46, 216)(47, 268)(48, 217)(49, 270)(50, 271)(51, 273)(52, 220)(53, 221)(54, 222)(55, 231)(56, 223)(57, 266)(58, 275)(59, 225)(60, 277)(61, 272)(62, 279)(63, 281)(64, 274)(65, 230)(66, 280)(67, 232)(68, 233)(69, 234)(70, 243)(71, 235)(72, 251)(73, 260)(74, 237)(75, 282)(76, 257)(77, 284)(78, 286)(79, 259)(80, 242)(81, 285)(82, 244)(83, 245)(84, 246)(85, 248)(86, 252)(87, 287)(88, 254)(89, 261)(90, 263)(91, 267)(92, 288)(93, 269)(94, 276)(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) :: { ( 12, 24 ), ( 12, 24, 12, 24 ) }
Outer automorphisms :: reflexible
Dual of E13.1490
Graph:: simple bipartite
	v = 144 e = 192 f = 24
	degree seq :: [ 2^96, 4^48 ]

E13.1492 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 12})
Quotient :: dipole
Aut^+ = C2 x (SL(2,3) : C2) (small group id <96, 200>)
Aut   = $<192, 1481>$ (small group id <192, 1481>)
|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 * Y3 * Y1^2, (Y3 * Y1^-1 * Y3 * Y1^-2)^2, (Y3 * Y1)^6, Y1^12 ]
Map:: polytopal
	R = (1, 97, 2, 98, 5, 101, 11, 107, 23, 119, 43, 139, 70, 166, 69, 165, 42, 138, 22, 118, 10, 106, 4, 100)(3, 99, 7, 103, 15, 111, 24, 120, 45, 141, 73, 169, 90, 186, 83, 179, 63, 159, 37, 133, 18, 114, 8, 104)(6, 102, 13, 109, 27, 123, 44, 140, 72, 168, 59, 155, 88, 184, 68, 164, 41, 137, 21, 117, 30, 126, 14, 110)(9, 105, 19, 115, 26, 122, 12, 108, 25, 121, 46, 142, 71, 167, 61, 157, 81, 177, 67, 163, 40, 136, 20, 116)(16, 112, 32, 128, 57, 153, 74, 170, 53, 149, 29, 125, 52, 148, 79, 175, 49, 145, 36, 132, 60, 156, 33, 129)(17, 113, 34, 130, 56, 152, 31, 127, 55, 151, 85, 181, 65, 161, 38, 134, 64, 160, 76, 172, 47, 143, 35, 131)(28, 124, 50, 146, 39, 135, 66, 162, 78, 174, 48, 144, 77, 173, 91, 187, 75, 171, 54, 150, 82, 178, 51, 147)(58, 154, 80, 176, 62, 158, 84, 180, 92, 188, 86, 182, 93, 189, 96, 192, 95, 191, 89, 185, 94, 190, 87, 183)(193, 289)(194, 290)(195, 291)(196, 292)(197, 293)(198, 294)(199, 295)(200, 296)(201, 297)(202, 298)(203, 299)(204, 300)(205, 301)(206, 302)(207, 303)(208, 304)(209, 305)(210, 306)(211, 307)(212, 308)(213, 309)(214, 310)(215, 311)(216, 312)(217, 313)(218, 314)(219, 315)(220, 316)(221, 317)(222, 318)(223, 319)(224, 320)(225, 321)(226, 322)(227, 323)(228, 324)(229, 325)(230, 326)(231, 327)(232, 328)(233, 329)(234, 330)(235, 331)(236, 332)(237, 333)(238, 334)(239, 335)(240, 336)(241, 337)(242, 338)(243, 339)(244, 340)(245, 341)(246, 342)(247, 343)(248, 344)(249, 345)(250, 346)(251, 347)(252, 348)(253, 349)(254, 350)(255, 351)(256, 352)(257, 353)(258, 354)(259, 355)(260, 356)(261, 357)(262, 358)(263, 359)(264, 360)(265, 361)(266, 362)(267, 363)(268, 364)(269, 365)(270, 366)(271, 367)(272, 368)(273, 369)(274, 370)(275, 371)(276, 372)(277, 373)(278, 374)(279, 375)(280, 376)(281, 377)(282, 378)(283, 379)(284, 380)(285, 381)(286, 382)(287, 383)(288, 384)
	L = (1, 195)(2, 198)(3, 193)(4, 201)(5, 204)(6, 194)(7, 208)(8, 209)(9, 196)(10, 213)(11, 216)(12, 197)(13, 220)(14, 221)(15, 223)(16, 199)(17, 200)(18, 228)(19, 230)(20, 231)(21, 202)(22, 229)(23, 236)(24, 203)(25, 239)(26, 240)(27, 241)(28, 205)(29, 206)(30, 246)(31, 207)(32, 250)(33, 251)(34, 253)(35, 254)(36, 210)(37, 214)(38, 211)(39, 212)(40, 247)(41, 249)(42, 259)(43, 263)(44, 215)(45, 266)(46, 267)(47, 217)(48, 218)(49, 219)(50, 272)(51, 273)(52, 275)(53, 276)(54, 222)(55, 232)(56, 278)(57, 233)(58, 224)(59, 225)(60, 281)(61, 226)(62, 227)(63, 268)(64, 279)(65, 265)(66, 264)(67, 234)(68, 269)(69, 280)(70, 282)(71, 235)(72, 258)(73, 257)(74, 237)(75, 238)(76, 255)(77, 260)(78, 284)(79, 285)(80, 242)(81, 243)(82, 286)(83, 244)(84, 245)(85, 287)(86, 248)(87, 256)(88, 261)(89, 252)(90, 262)(91, 288)(92, 270)(93, 271)(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, 12 ), ( 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 E13.1489
Graph:: simple bipartite
	v = 104 e = 192 f = 64
	degree seq :: [ 2^96, 24^8 ]

E13.1493 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 12})
Quotient :: dipole
Aut^+ = C2 x (SL(2,3) : C2) (small group id <96, 200>)
Aut   = $<192, 1481>$ (small group id <192, 1481>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y2 * Y1 * Y2^-3 * Y1 * Y2^2, (Y2^-2 * R * Y2^-1)^2, (Y2 * Y1 * Y2^2 * Y1)^2, Y2^12, (Y3 * Y2^-1)^6 ]
Map::
	R = (1, 97, 2, 98)(3, 99, 7, 103)(4, 100, 9, 105)(5, 101, 11, 107)(6, 102, 13, 109)(8, 104, 17, 113)(10, 106, 21, 117)(12, 108, 25, 121)(14, 110, 29, 125)(15, 111, 31, 127)(16, 112, 33, 129)(18, 114, 26, 122)(19, 115, 38, 134)(20, 116, 39, 135)(22, 118, 30, 126)(23, 119, 43, 139)(24, 120, 45, 141)(27, 123, 50, 146)(28, 124, 51, 147)(32, 128, 53, 149)(34, 130, 60, 156)(35, 131, 52, 148)(36, 132, 62, 158)(37, 133, 57, 153)(40, 136, 47, 143)(41, 137, 44, 140)(42, 138, 67, 163)(46, 142, 75, 171)(48, 144, 77, 173)(49, 145, 72, 168)(54, 150, 82, 178)(55, 151, 70, 166)(56, 152, 79, 175)(58, 154, 84, 180)(59, 155, 81, 177)(61, 157, 86, 182)(63, 159, 80, 176)(64, 160, 71, 167)(65, 161, 78, 174)(66, 162, 74, 170)(68, 164, 87, 183)(69, 165, 73, 169)(76, 172, 91, 187)(83, 179, 92, 188)(85, 181, 90, 186)(88, 184, 93, 189)(89, 185, 94, 190)(95, 191, 96, 192)(193, 289, 195, 291, 200, 296, 210, 306, 229, 325, 255, 351, 281, 377, 261, 357, 234, 330, 214, 310, 202, 298, 196, 292)(194, 290, 197, 293, 204, 300, 218, 314, 241, 337, 270, 366, 286, 382, 276, 372, 246, 342, 222, 318, 206, 302, 198, 294)(199, 295, 207, 303, 224, 320, 249, 345, 266, 362, 237, 333, 265, 361, 260, 356, 233, 329, 213, 309, 226, 322, 208, 304)(201, 297, 211, 307, 228, 324, 209, 305, 227, 323, 253, 349, 272, 368, 242, 338, 271, 367, 259, 355, 232, 328, 212, 308)(203, 299, 215, 311, 236, 332, 264, 360, 251, 347, 225, 321, 250, 346, 275, 371, 245, 341, 221, 317, 238, 334, 216, 312)(205, 301, 219, 315, 240, 336, 217, 313, 239, 335, 268, 364, 257, 353, 230, 326, 256, 352, 274, 370, 244, 340, 220, 316)(223, 319, 247, 343, 231, 327, 258, 354, 280, 376, 254, 350, 279, 375, 287, 383, 278, 374, 252, 348, 277, 373, 248, 344)(235, 331, 262, 358, 243, 339, 273, 369, 285, 381, 269, 365, 284, 380, 288, 384, 283, 379, 267, 363, 282, 378, 263, 359)
	L = (1, 194)(2, 193)(3, 199)(4, 201)(5, 203)(6, 205)(7, 195)(8, 209)(9, 196)(10, 213)(11, 197)(12, 217)(13, 198)(14, 221)(15, 223)(16, 225)(17, 200)(18, 218)(19, 230)(20, 231)(21, 202)(22, 222)(23, 235)(24, 237)(25, 204)(26, 210)(27, 242)(28, 243)(29, 206)(30, 214)(31, 207)(32, 245)(33, 208)(34, 252)(35, 244)(36, 254)(37, 249)(38, 211)(39, 212)(40, 239)(41, 236)(42, 259)(43, 215)(44, 233)(45, 216)(46, 267)(47, 232)(48, 269)(49, 264)(50, 219)(51, 220)(52, 227)(53, 224)(54, 274)(55, 262)(56, 271)(57, 229)(58, 276)(59, 273)(60, 226)(61, 278)(62, 228)(63, 272)(64, 263)(65, 270)(66, 266)(67, 234)(68, 279)(69, 265)(70, 247)(71, 256)(72, 241)(73, 261)(74, 258)(75, 238)(76, 283)(77, 240)(78, 257)(79, 248)(80, 255)(81, 251)(82, 246)(83, 284)(84, 250)(85, 282)(86, 253)(87, 260)(88, 285)(89, 286)(90, 277)(91, 268)(92, 275)(93, 280)(94, 281)(95, 288)(96, 287)(97, 289)(98, 290)(99, 291)(100, 292)(101, 293)(102, 294)(103, 295)(104, 296)(105, 297)(106, 298)(107, 299)(108, 300)(109, 301)(110, 302)(111, 303)(112, 304)(113, 305)(114, 306)(115, 307)(116, 308)(117, 309)(118, 310)(119, 311)(120, 312)(121, 313)(122, 314)(123, 315)(124, 316)(125, 317)(126, 318)(127, 319)(128, 320)(129, 321)(130, 322)(131, 323)(132, 324)(133, 325)(134, 326)(135, 327)(136, 328)(137, 329)(138, 330)(139, 331)(140, 332)(141, 333)(142, 334)(143, 335)(144, 336)(145, 337)(146, 338)(147, 339)(148, 340)(149, 341)(150, 342)(151, 343)(152, 344)(153, 345)(154, 346)(155, 347)(156, 348)(157, 349)(158, 350)(159, 351)(160, 352)(161, 353)(162, 354)(163, 355)(164, 356)(165, 357)(166, 358)(167, 359)(168, 360)(169, 361)(170, 362)(171, 363)(172, 364)(173, 365)(174, 366)(175, 367)(176, 368)(177, 369)(178, 370)(179, 371)(180, 372)(181, 373)(182, 374)(183, 375)(184, 376)(185, 377)(186, 378)(187, 379)(188, 380)(189, 381)(190, 382)(191, 383)(192, 384)
	local type(s) :: { ( 2, 12, 2, 12 ), ( 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 E13.1494
Graph:: bipartite
	v = 56 e = 192 f = 112
	degree seq :: [ 4^48, 24^8 ]

E13.1494 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 12})
Quotient :: dipole
Aut^+ = C2 x (SL(2,3) : C2) (small group id <96, 200>)
Aut   = $<192, 1481>$ (small group id <192, 1481>)
|r| :: 2
Presentation :: [ Y2, R^2, (Y3 * Y1)^2, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, (Y1 * Y3^-1 * Y1)^2, Y1^6, Y3^-3 * Y1 * Y3^3 * Y1^-1, Y1^-1 * Y3^-4 * Y1^-1 * Y3^2, (Y3 * Y2^-1)^12 ]
Map:: polytopal
	R = (1, 97, 2, 98, 6, 102, 16, 112, 13, 109, 4, 100)(3, 99, 9, 105, 23, 119, 36, 132, 18, 114, 11, 107)(5, 101, 14, 110, 31, 127, 37, 133, 20, 116, 7, 103)(8, 104, 21, 117, 12, 108, 29, 125, 39, 135, 17, 113)(10, 106, 25, 121, 53, 149, 64, 160, 50, 146, 27, 123)(15, 111, 34, 130, 44, 140, 65, 161, 61, 157, 32, 128)(19, 115, 41, 137, 72, 168, 60, 156, 33, 129, 43, 139)(22, 118, 47, 143, 69, 165, 59, 155, 76, 172, 45, 141)(24, 120, 51, 147, 28, 124, 40, 136, 70, 166, 49, 145)(26, 122, 42, 138, 67, 163, 87, 183, 82, 178, 56, 152)(30, 126, 46, 142, 68, 164, 38, 134, 66, 162, 55, 151)(35, 131, 48, 144, 71, 167, 88, 184, 79, 175, 52, 148)(54, 150, 83, 179, 57, 153, 75, 171, 63, 159, 81, 177)(58, 154, 80, 176, 89, 185, 77, 173, 90, 186, 84, 180)(62, 158, 78, 174, 91, 187, 73, 169, 92, 188, 74, 170)(85, 181, 93, 189, 96, 192, 95, 191, 86, 182, 94, 190)(193, 289)(194, 290)(195, 291)(196, 292)(197, 293)(198, 294)(199, 295)(200, 296)(201, 297)(202, 298)(203, 299)(204, 300)(205, 301)(206, 302)(207, 303)(208, 304)(209, 305)(210, 306)(211, 307)(212, 308)(213, 309)(214, 310)(215, 311)(216, 312)(217, 313)(218, 314)(219, 315)(220, 316)(221, 317)(222, 318)(223, 319)(224, 320)(225, 321)(226, 322)(227, 323)(228, 324)(229, 325)(230, 326)(231, 327)(232, 328)(233, 329)(234, 330)(235, 331)(236, 332)(237, 333)(238, 334)(239, 335)(240, 336)(241, 337)(242, 338)(243, 339)(244, 340)(245, 341)(246, 342)(247, 343)(248, 344)(249, 345)(250, 346)(251, 347)(252, 348)(253, 349)(254, 350)(255, 351)(256, 352)(257, 353)(258, 354)(259, 355)(260, 356)(261, 357)(262, 358)(263, 359)(264, 360)(265, 361)(266, 362)(267, 363)(268, 364)(269, 365)(270, 366)(271, 367)(272, 368)(273, 369)(274, 370)(275, 371)(276, 372)(277, 373)(278, 374)(279, 375)(280, 376)(281, 377)(282, 378)(283, 379)(284, 380)(285, 381)(286, 382)(287, 383)(288, 384)
	L = (1, 195)(2, 199)(3, 202)(4, 204)(5, 193)(6, 209)(7, 211)(8, 194)(9, 196)(10, 218)(11, 220)(12, 222)(13, 223)(14, 224)(15, 197)(16, 228)(17, 230)(18, 198)(19, 234)(20, 236)(21, 237)(22, 200)(23, 241)(24, 201)(25, 203)(26, 247)(27, 249)(28, 250)(29, 205)(30, 248)(31, 252)(32, 246)(33, 206)(34, 244)(35, 207)(36, 256)(37, 208)(38, 259)(39, 261)(40, 210)(41, 212)(42, 219)(43, 266)(44, 267)(45, 265)(46, 213)(47, 227)(48, 214)(49, 269)(50, 215)(51, 271)(52, 216)(53, 273)(54, 217)(55, 276)(56, 264)(57, 277)(58, 258)(59, 221)(60, 274)(61, 263)(62, 225)(63, 226)(64, 279)(65, 229)(66, 231)(67, 235)(68, 281)(69, 254)(70, 240)(71, 232)(72, 283)(73, 233)(74, 285)(75, 242)(76, 280)(77, 238)(78, 239)(79, 251)(80, 243)(81, 287)(82, 245)(83, 253)(84, 286)(85, 282)(86, 255)(87, 260)(88, 257)(89, 288)(90, 262)(91, 278)(92, 268)(93, 275)(94, 270)(95, 272)(96, 284)(97, 289)(98, 290)(99, 291)(100, 292)(101, 293)(102, 294)(103, 295)(104, 296)(105, 297)(106, 298)(107, 299)(108, 300)(109, 301)(110, 302)(111, 303)(112, 304)(113, 305)(114, 306)(115, 307)(116, 308)(117, 309)(118, 310)(119, 311)(120, 312)(121, 313)(122, 314)(123, 315)(124, 316)(125, 317)(126, 318)(127, 319)(128, 320)(129, 321)(130, 322)(131, 323)(132, 324)(133, 325)(134, 326)(135, 327)(136, 328)(137, 329)(138, 330)(139, 331)(140, 332)(141, 333)(142, 334)(143, 335)(144, 336)(145, 337)(146, 338)(147, 339)(148, 340)(149, 341)(150, 342)(151, 343)(152, 344)(153, 345)(154, 346)(155, 347)(156, 348)(157, 349)(158, 350)(159, 351)(160, 352)(161, 353)(162, 354)(163, 355)(164, 356)(165, 357)(166, 358)(167, 359)(168, 360)(169, 361)(170, 362)(171, 363)(172, 364)(173, 365)(174, 366)(175, 367)(176, 368)(177, 369)(178, 370)(179, 371)(180, 372)(181, 373)(182, 374)(183, 375)(184, 376)(185, 377)(186, 378)(187, 379)(188, 380)(189, 381)(190, 382)(191, 383)(192, 384)
	local type(s) :: { ( 4, 24 ), ( 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24 ) }
Outer automorphisms :: reflexible
Dual of E13.1493
Graph:: simple bipartite
	v = 112 e = 192 f = 56
	degree seq :: [ 2^96, 12^16 ]

E13.1495 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 4, 52})
Quotient :: regular
Aut^+ = C4 x D26 (small group id <104, 5>)
Aut   = D8 x D26 (small group id <208, 39>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, (T1^-2 * T2)^2, (T1 * T2)^4, T1^-2 * T2 * T1^11 * T2 * T1^-13 ]
Map:: non-degenerate
	R = (1, 2, 5, 11, 20, 29, 37, 45, 53, 61, 69, 77, 85, 93, 101, 98, 90, 82, 74, 66, 58, 50, 42, 34, 26, 16, 23, 17, 24, 32, 40, 48, 56, 64, 72, 80, 88, 96, 104, 100, 92, 84, 76, 68, 60, 52, 44, 36, 28, 19, 10, 4)(3, 7, 15, 25, 33, 41, 49, 57, 65, 73, 81, 89, 97, 102, 95, 86, 79, 70, 63, 54, 47, 38, 31, 21, 14, 6, 13, 9, 18, 27, 35, 43, 51, 59, 67, 75, 83, 91, 99, 103, 94, 87, 78, 71, 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, 70)(63, 72)(67, 74)(68, 75)(69, 78)(71, 80)(73, 82)(76, 81)(77, 86)(79, 88)(83, 90)(84, 91)(85, 94)(87, 96)(89, 98)(92, 97)(93, 102)(95, 104)(99, 101)(100, 103)
	local type(s) :: { ( 4^52 ) }
Outer automorphisms :: reflexible
Dual of E13.1496
Transitivity :: ET+ VT+ AT+ REG+
Graph:: bipartite
	v = 2 e = 52 f = 26
	degree seq :: [ 52^2 ]

E13.1496 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 4, 52})
Quotient :: regular
Aut^+ = C4 x D26 (small group id <104, 5>)
Aut   = D8 x D26 (small group id <208, 39>)
|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^-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, 55, 32, 56)(35, 59, 39, 61)(36, 62, 38, 64)(37, 63, 44, 65)(40, 66, 43, 60)(41, 67, 42, 68)(45, 69, 46, 70)(47, 71, 48, 72)(49, 73, 50, 74)(51, 75, 52, 76)(53, 77, 54, 78)(57, 81, 58, 82)(79, 103, 80, 104)(83, 98, 84, 97)(85, 101, 86, 102)(87, 95, 88, 96)(89, 100, 90, 99)(91, 93, 92, 94)
	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, 43)(34, 40)(35, 60)(36, 63)(37, 55)(38, 65)(39, 66)(41, 59)(42, 61)(44, 56)(45, 62)(46, 64)(47, 67)(48, 68)(49, 69)(50, 70)(51, 71)(52, 72)(53, 73)(54, 74)(57, 75)(58, 76)(77, 79)(78, 80)(81, 85)(82, 86)(83, 101)(84, 102)(87, 100)(88, 99)(89, 103)(90, 104)(91, 98)(92, 97)(93, 95)(94, 96)
	local type(s) :: { ( 52^4 ) }
Outer automorphisms :: reflexible
Dual of E13.1495
Transitivity :: ET+ VT+ AT+ REG+
Graph:: bipartite
	v = 26 e = 52 f = 2
	degree seq :: [ 4^26 ]

E13.1497 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 4, 52})
Quotient :: edge
Aut^+ = C4 x D26 (small group id <104, 5>)
Aut   = D8 x D26 (small group id <208, 39>)
|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^-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, 57, 34, 59)(35, 62, 42, 64)(36, 66, 45, 68)(37, 70, 38, 65)(39, 74, 40, 61)(41, 77, 43, 79)(44, 82, 46, 84)(47, 72, 48, 69)(49, 89, 50, 91)(51, 93, 52, 95)(53, 97, 54, 99)(55, 101, 56, 103)(58, 104, 60, 102)(63, 83, 80, 86)(67, 78, 85, 81)(71, 90, 73, 92)(75, 94, 76, 96)(87, 98, 88, 100)(105, 106)(107, 111)(108, 113)(109, 114)(110, 116)(112, 115)(117, 121)(118, 122)(119, 123)(120, 124)(125, 129)(126, 130)(127, 131)(128, 132)(133, 137)(134, 138)(135, 152)(136, 151)(139, 165)(140, 169)(141, 173)(142, 176)(143, 161)(144, 163)(145, 166)(146, 178)(147, 168)(148, 170)(149, 174)(150, 172)(153, 181)(154, 183)(155, 186)(156, 188)(157, 193)(158, 195)(159, 197)(160, 199)(162, 201)(164, 203)(167, 200)(171, 196)(175, 204)(177, 202)(179, 208)(180, 206)(182, 187)(184, 198)(185, 190)(189, 194)(191, 207)(192, 205)
	L = (1, 105)(2, 106)(3, 107)(4, 108)(5, 109)(6, 110)(7, 111)(8, 112)(9, 113)(10, 114)(11, 115)(12, 116)(13, 117)(14, 118)(15, 119)(16, 120)(17, 121)(18, 122)(19, 123)(20, 124)(21, 125)(22, 126)(23, 127)(24, 128)(25, 129)(26, 130)(27, 131)(28, 132)(29, 133)(30, 134)(31, 135)(32, 136)(33, 137)(34, 138)(35, 139)(36, 140)(37, 141)(38, 142)(39, 143)(40, 144)(41, 145)(42, 146)(43, 147)(44, 148)(45, 149)(46, 150)(47, 151)(48, 152)(49, 153)(50, 154)(51, 155)(52, 156)(53, 157)(54, 158)(55, 159)(56, 160)(57, 161)(58, 162)(59, 163)(60, 164)(61, 165)(62, 166)(63, 167)(64, 168)(65, 169)(66, 170)(67, 171)(68, 172)(69, 173)(70, 174)(71, 175)(72, 176)(73, 177)(74, 178)(75, 179)(76, 180)(77, 181)(78, 182)(79, 183)(80, 184)(81, 185)(82, 186)(83, 187)(84, 188)(85, 189)(86, 190)(87, 191)(88, 192)(89, 193)(90, 194)(91, 195)(92, 196)(93, 197)(94, 198)(95, 199)(96, 200)(97, 201)(98, 202)(99, 203)(100, 204)(101, 205)(102, 206)(103, 207)(104, 208)
	local type(s) :: { ( 104, 104 ), ( 104^4 ) }
Outer automorphisms :: reflexible
Dual of E13.1501
Transitivity :: ET+
Graph:: simple bipartite
	v = 78 e = 104 f = 2
	degree seq :: [ 2^52, 4^26 ]

E13.1498 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 4, 52})
Quotient :: edge
Aut^+ = C4 x D26 (small group id <104, 5>)
Aut   = D8 x D26 (small group id <208, 39>)
|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^-26 * T1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 3, 10, 18, 26, 34, 42, 50, 58, 66, 74, 82, 90, 98, 102, 94, 86, 78, 70, 62, 54, 46, 38, 30, 22, 14, 6, 13, 21, 29, 37, 45, 53, 61, 69, 77, 85, 93, 101, 100, 92, 84, 76, 68, 60, 52, 44, 36, 28, 20, 12, 5)(2, 7, 15, 23, 31, 39, 47, 55, 63, 71, 79, 87, 95, 103, 97, 89, 81, 73, 65, 57, 49, 41, 33, 25, 17, 9, 4, 11, 19, 27, 35, 43, 51, 59, 67, 75, 83, 91, 99, 104, 96, 88, 80, 72, 64, 56, 48, 40, 32, 24, 16, 8)(105, 106, 110, 108)(107, 113, 117, 112)(109, 115, 118, 111)(114, 120, 125, 121)(116, 119, 126, 123)(122, 129, 133, 128)(124, 131, 134, 127)(130, 136, 141, 137)(132, 135, 142, 139)(138, 145, 149, 144)(140, 147, 150, 143)(146, 152, 157, 153)(148, 151, 158, 155)(154, 161, 165, 160)(156, 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, 207, 204, 208)
	L = (1, 105)(2, 106)(3, 107)(4, 108)(5, 109)(6, 110)(7, 111)(8, 112)(9, 113)(10, 114)(11, 115)(12, 116)(13, 117)(14, 118)(15, 119)(16, 120)(17, 121)(18, 122)(19, 123)(20, 124)(21, 125)(22, 126)(23, 127)(24, 128)(25, 129)(26, 130)(27, 131)(28, 132)(29, 133)(30, 134)(31, 135)(32, 136)(33, 137)(34, 138)(35, 139)(36, 140)(37, 141)(38, 142)(39, 143)(40, 144)(41, 145)(42, 146)(43, 147)(44, 148)(45, 149)(46, 150)(47, 151)(48, 152)(49, 153)(50, 154)(51, 155)(52, 156)(53, 157)(54, 158)(55, 159)(56, 160)(57, 161)(58, 162)(59, 163)(60, 164)(61, 165)(62, 166)(63, 167)(64, 168)(65, 169)(66, 170)(67, 171)(68, 172)(69, 173)(70, 174)(71, 175)(72, 176)(73, 177)(74, 178)(75, 179)(76, 180)(77, 181)(78, 182)(79, 183)(80, 184)(81, 185)(82, 186)(83, 187)(84, 188)(85, 189)(86, 190)(87, 191)(88, 192)(89, 193)(90, 194)(91, 195)(92, 196)(93, 197)(94, 198)(95, 199)(96, 200)(97, 201)(98, 202)(99, 203)(100, 204)(101, 205)(102, 206)(103, 207)(104, 208)
	local type(s) :: { ( 4^4 ), ( 4^52 ) }
Outer automorphisms :: reflexible
Dual of E13.1502
Transitivity :: ET+
Graph:: bipartite
	v = 28 e = 104 f = 52
	degree seq :: [ 4^26, 52^2 ]

E13.1499 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 4, 52})
Quotient :: edge
Aut^+ = C4 x D26 (small group id <104, 5>)
Aut   = D8 x D26 (small group id <208, 39>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, (T1^-2 * T2)^2, (T2 * T1)^4, T1^-2 * T2 * T1^11 * T2 * T1^-13 ]
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, 70)(63, 72)(67, 74)(68, 75)(69, 78)(71, 80)(73, 82)(76, 81)(77, 86)(79, 88)(83, 90)(84, 91)(85, 94)(87, 96)(89, 98)(92, 97)(93, 102)(95, 104)(99, 101)(100, 103)(105, 106, 109, 115, 124, 133, 141, 149, 157, 165, 173, 181, 189, 197, 205, 202, 194, 186, 178, 170, 162, 154, 146, 138, 130, 120, 127, 121, 128, 136, 144, 152, 160, 168, 176, 184, 192, 200, 208, 204, 196, 188, 180, 172, 164, 156, 148, 140, 132, 123, 114, 108)(107, 111, 119, 129, 137, 145, 153, 161, 169, 177, 185, 193, 201, 206, 199, 190, 183, 174, 167, 158, 151, 142, 135, 125, 118, 110, 117, 113, 122, 131, 139, 147, 155, 163, 171, 179, 187, 195, 203, 207, 198, 191, 182, 175, 166, 159, 150, 143, 134, 126, 116, 112)
	L = (1, 105)(2, 106)(3, 107)(4, 108)(5, 109)(6, 110)(7, 111)(8, 112)(9, 113)(10, 114)(11, 115)(12, 116)(13, 117)(14, 118)(15, 119)(16, 120)(17, 121)(18, 122)(19, 123)(20, 124)(21, 125)(22, 126)(23, 127)(24, 128)(25, 129)(26, 130)(27, 131)(28, 132)(29, 133)(30, 134)(31, 135)(32, 136)(33, 137)(34, 138)(35, 139)(36, 140)(37, 141)(38, 142)(39, 143)(40, 144)(41, 145)(42, 146)(43, 147)(44, 148)(45, 149)(46, 150)(47, 151)(48, 152)(49, 153)(50, 154)(51, 155)(52, 156)(53, 157)(54, 158)(55, 159)(56, 160)(57, 161)(58, 162)(59, 163)(60, 164)(61, 165)(62, 166)(63, 167)(64, 168)(65, 169)(66, 170)(67, 171)(68, 172)(69, 173)(70, 174)(71, 175)(72, 176)(73, 177)(74, 178)(75, 179)(76, 180)(77, 181)(78, 182)(79, 183)(80, 184)(81, 185)(82, 186)(83, 187)(84, 188)(85, 189)(86, 190)(87, 191)(88, 192)(89, 193)(90, 194)(91, 195)(92, 196)(93, 197)(94, 198)(95, 199)(96, 200)(97, 201)(98, 202)(99, 203)(100, 204)(101, 205)(102, 206)(103, 207)(104, 208)
	local type(s) :: { ( 8, 8 ), ( 8^52 ) }
Outer automorphisms :: reflexible
Dual of E13.1500
Transitivity :: ET+
Graph:: simple bipartite
	v = 54 e = 104 f = 26
	degree seq :: [ 2^52, 52^2 ]

E13.1500 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 4, 52})
Quotient :: loop
Aut^+ = C4 x D26 (small group id <104, 5>)
Aut   = D8 x D26 (small group id <208, 39>)
|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^-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, 105, 3, 107, 8, 112, 4, 108)(2, 106, 5, 109, 11, 115, 6, 110)(7, 111, 13, 117, 9, 113, 14, 118)(10, 114, 15, 119, 12, 116, 16, 120)(17, 121, 21, 125, 18, 122, 22, 126)(19, 123, 23, 127, 20, 124, 24, 128)(25, 129, 29, 133, 26, 130, 30, 134)(27, 131, 31, 135, 28, 132, 32, 136)(33, 137, 53, 157, 34, 138, 55, 159)(35, 139, 57, 161, 40, 144, 59, 163)(36, 140, 61, 165, 43, 147, 63, 167)(37, 141, 64, 168, 38, 142, 60, 164)(39, 143, 67, 171, 41, 145, 69, 173)(42, 146, 72, 176, 44, 148, 74, 178)(45, 149, 77, 181, 46, 150, 79, 183)(47, 151, 81, 185, 48, 152, 83, 187)(49, 153, 85, 189, 50, 154, 87, 191)(51, 155, 89, 193, 52, 156, 91, 195)(54, 158, 94, 198, 56, 160, 93, 197)(58, 162, 98, 202, 70, 174, 97, 201)(62, 166, 99, 203, 75, 179, 101, 205)(65, 169, 100, 204, 66, 170, 102, 206)(68, 172, 103, 207, 71, 175, 104, 208)(73, 177, 96, 200, 76, 180, 95, 199)(78, 182, 90, 194, 80, 184, 92, 196)(82, 186, 86, 190, 84, 188, 88, 192)
	L = (1, 106)(2, 105)(3, 111)(4, 113)(5, 114)(6, 116)(7, 107)(8, 115)(9, 108)(10, 109)(11, 112)(12, 110)(13, 121)(14, 122)(15, 123)(16, 124)(17, 117)(18, 118)(19, 119)(20, 120)(21, 129)(22, 130)(23, 131)(24, 132)(25, 125)(26, 126)(27, 127)(28, 128)(29, 137)(30, 138)(31, 142)(32, 141)(33, 133)(34, 134)(35, 157)(36, 164)(37, 136)(38, 135)(39, 161)(40, 159)(41, 163)(42, 165)(43, 168)(44, 167)(45, 171)(46, 173)(47, 176)(48, 178)(49, 181)(50, 183)(51, 185)(52, 187)(53, 139)(54, 189)(55, 144)(56, 191)(57, 143)(58, 198)(59, 145)(60, 140)(61, 146)(62, 206)(63, 148)(64, 147)(65, 195)(66, 193)(67, 149)(68, 202)(69, 150)(70, 197)(71, 201)(72, 151)(73, 203)(74, 152)(75, 204)(76, 205)(77, 153)(78, 207)(79, 154)(80, 208)(81, 155)(82, 200)(83, 156)(84, 199)(85, 158)(86, 194)(87, 160)(88, 196)(89, 170)(90, 190)(91, 169)(92, 192)(93, 174)(94, 162)(95, 188)(96, 186)(97, 175)(98, 172)(99, 177)(100, 179)(101, 180)(102, 166)(103, 182)(104, 184)
	local type(s) :: { ( 2, 52, 2, 52, 2, 52, 2, 52 ) }
Outer automorphisms :: reflexible
Dual of E13.1499
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 26 e = 104 f = 54
	degree seq :: [ 8^26 ]

E13.1501 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 4, 52})
Quotient :: loop
Aut^+ = C4 x D26 (small group id <104, 5>)
Aut   = D8 x D26 (small group id <208, 39>)
|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^-26 * T1^-1 ]
Map::
	R = (1, 105, 3, 107, 10, 114, 18, 122, 26, 130, 34, 138, 42, 146, 50, 154, 58, 162, 66, 170, 74, 178, 82, 186, 90, 194, 98, 202, 102, 206, 94, 198, 86, 190, 78, 182, 70, 174, 62, 166, 54, 158, 46, 150, 38, 142, 30, 134, 22, 126, 14, 118, 6, 110, 13, 117, 21, 125, 29, 133, 37, 141, 45, 149, 53, 157, 61, 165, 69, 173, 77, 181, 85, 189, 93, 197, 101, 205, 100, 204, 92, 196, 84, 188, 76, 180, 68, 172, 60, 164, 52, 156, 44, 148, 36, 140, 28, 132, 20, 124, 12, 116, 5, 109)(2, 106, 7, 111, 15, 119, 23, 127, 31, 135, 39, 143, 47, 151, 55, 159, 63, 167, 71, 175, 79, 183, 87, 191, 95, 199, 103, 207, 97, 201, 89, 193, 81, 185, 73, 177, 65, 169, 57, 161, 49, 153, 41, 145, 33, 137, 25, 129, 17, 121, 9, 113, 4, 108, 11, 115, 19, 123, 27, 131, 35, 139, 43, 147, 51, 155, 59, 163, 67, 171, 75, 179, 83, 187, 91, 195, 99, 203, 104, 208, 96, 200, 88, 192, 80, 184, 72, 176, 64, 168, 56, 160, 48, 152, 40, 144, 32, 136, 24, 128, 16, 120, 8, 112)
	L = (1, 106)(2, 110)(3, 113)(4, 105)(5, 115)(6, 108)(7, 109)(8, 107)(9, 117)(10, 120)(11, 118)(12, 119)(13, 112)(14, 111)(15, 126)(16, 125)(17, 114)(18, 129)(19, 116)(20, 131)(21, 121)(22, 123)(23, 124)(24, 122)(25, 133)(26, 136)(27, 134)(28, 135)(29, 128)(30, 127)(31, 142)(32, 141)(33, 130)(34, 145)(35, 132)(36, 147)(37, 137)(38, 139)(39, 140)(40, 138)(41, 149)(42, 152)(43, 150)(44, 151)(45, 144)(46, 143)(47, 158)(48, 157)(49, 146)(50, 161)(51, 148)(52, 163)(53, 153)(54, 155)(55, 156)(56, 154)(57, 165)(58, 168)(59, 166)(60, 167)(61, 160)(62, 159)(63, 174)(64, 173)(65, 162)(66, 177)(67, 164)(68, 179)(69, 169)(70, 171)(71, 172)(72, 170)(73, 181)(74, 184)(75, 182)(76, 183)(77, 176)(78, 175)(79, 190)(80, 189)(81, 178)(82, 193)(83, 180)(84, 195)(85, 185)(86, 187)(87, 188)(88, 186)(89, 197)(90, 200)(91, 198)(92, 199)(93, 192)(94, 191)(95, 206)(96, 205)(97, 194)(98, 207)(99, 196)(100, 208)(101, 201)(102, 203)(103, 204)(104, 202)
	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 ) }
Outer automorphisms :: reflexible
Dual of E13.1497
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 2 e = 104 f = 78
	degree seq :: [ 104^2 ]

E13.1502 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 4, 52})
Quotient :: loop
Aut^+ = C4 x D26 (small group id <104, 5>)
Aut   = D8 x D26 (small group id <208, 39>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, (T1^-2 * T2)^2, (T2 * T1)^4, T1^-2 * T2 * T1^11 * T2 * T1^-13 ]
Map:: polytopal non-degenerate
	R = (1, 105, 3, 107)(2, 106, 6, 110)(4, 108, 9, 113)(5, 109, 12, 116)(7, 111, 16, 120)(8, 112, 17, 121)(10, 114, 15, 119)(11, 115, 21, 125)(13, 117, 23, 127)(14, 118, 24, 128)(18, 122, 26, 130)(19, 123, 27, 131)(20, 124, 30, 134)(22, 126, 32, 136)(25, 129, 34, 138)(28, 132, 33, 137)(29, 133, 38, 142)(31, 135, 40, 144)(35, 139, 42, 146)(36, 140, 43, 147)(37, 141, 46, 150)(39, 143, 48, 152)(41, 145, 50, 154)(44, 148, 49, 153)(45, 149, 54, 158)(47, 151, 56, 160)(51, 155, 58, 162)(52, 156, 59, 163)(53, 157, 62, 166)(55, 159, 64, 168)(57, 161, 66, 170)(60, 164, 65, 169)(61, 165, 70, 174)(63, 167, 72, 176)(67, 171, 74, 178)(68, 172, 75, 179)(69, 173, 78, 182)(71, 175, 80, 184)(73, 177, 82, 186)(76, 180, 81, 185)(77, 181, 86, 190)(79, 183, 88, 192)(83, 187, 90, 194)(84, 188, 91, 195)(85, 189, 94, 198)(87, 191, 96, 200)(89, 193, 98, 202)(92, 196, 97, 201)(93, 197, 102, 206)(95, 199, 104, 208)(99, 203, 101, 205)(100, 204, 103, 207)
	L = (1, 106)(2, 109)(3, 111)(4, 105)(5, 115)(6, 117)(7, 119)(8, 107)(9, 122)(10, 108)(11, 124)(12, 112)(13, 113)(14, 110)(15, 129)(16, 127)(17, 128)(18, 131)(19, 114)(20, 133)(21, 118)(22, 116)(23, 121)(24, 136)(25, 137)(26, 120)(27, 139)(28, 123)(29, 141)(30, 126)(31, 125)(32, 144)(33, 145)(34, 130)(35, 147)(36, 132)(37, 149)(38, 135)(39, 134)(40, 152)(41, 153)(42, 138)(43, 155)(44, 140)(45, 157)(46, 143)(47, 142)(48, 160)(49, 161)(50, 146)(51, 163)(52, 148)(53, 165)(54, 151)(55, 150)(56, 168)(57, 169)(58, 154)(59, 171)(60, 156)(61, 173)(62, 159)(63, 158)(64, 176)(65, 177)(66, 162)(67, 179)(68, 164)(69, 181)(70, 167)(71, 166)(72, 184)(73, 185)(74, 170)(75, 187)(76, 172)(77, 189)(78, 175)(79, 174)(80, 192)(81, 193)(82, 178)(83, 195)(84, 180)(85, 197)(86, 183)(87, 182)(88, 200)(89, 201)(90, 186)(91, 203)(92, 188)(93, 205)(94, 191)(95, 190)(96, 208)(97, 206)(98, 194)(99, 207)(100, 196)(101, 202)(102, 199)(103, 198)(104, 204)
	local type(s) :: { ( 4, 52, 4, 52 ) }
Outer automorphisms :: reflexible
Dual of E13.1498
Transitivity :: ET+ VT+ AT
Graph:: simple bipartite
	v = 52 e = 104 f = 28
	degree seq :: [ 4^52 ]

E13.1503 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 52})
Quotient :: dipole
Aut^+ = C4 x D26 (small group id <104, 5>)
Aut   = D8 x D26 (small group id <208, 39>)
|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^-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)^52 ]
Map::
	R = (1, 105, 2, 106)(3, 107, 7, 111)(4, 108, 9, 113)(5, 109, 10, 114)(6, 110, 12, 116)(8, 112, 11, 115)(13, 117, 17, 121)(14, 118, 18, 122)(15, 119, 19, 123)(16, 120, 20, 124)(21, 125, 25, 129)(22, 126, 26, 130)(23, 127, 27, 131)(24, 128, 28, 132)(29, 133, 33, 137)(30, 134, 34, 138)(31, 135, 57, 161)(32, 136, 59, 163)(35, 139, 61, 165)(36, 140, 65, 169)(37, 141, 69, 173)(38, 142, 72, 176)(39, 143, 74, 178)(40, 144, 77, 181)(41, 145, 62, 166)(42, 146, 75, 179)(43, 147, 64, 168)(44, 148, 66, 170)(45, 149, 70, 174)(46, 150, 68, 172)(47, 151, 85, 189)(48, 152, 87, 191)(49, 153, 89, 193)(50, 154, 91, 195)(51, 155, 93, 197)(52, 156, 95, 199)(53, 157, 97, 201)(54, 158, 99, 203)(55, 159, 101, 205)(56, 160, 103, 207)(58, 162, 104, 208)(60, 164, 102, 206)(63, 167, 88, 192)(67, 171, 92, 196)(71, 175, 76, 180)(73, 177, 78, 182)(79, 183, 96, 200)(80, 184, 86, 190)(81, 185, 94, 198)(82, 186, 100, 204)(83, 187, 90, 194)(84, 188, 98, 202)(209, 313, 211, 315, 216, 320, 212, 316)(210, 314, 213, 317, 219, 323, 214, 318)(215, 319, 221, 325, 217, 321, 222, 326)(218, 322, 223, 327, 220, 324, 224, 328)(225, 329, 229, 333, 226, 330, 230, 334)(227, 331, 231, 335, 228, 332, 232, 336)(233, 337, 237, 341, 234, 338, 238, 342)(235, 339, 239, 343, 236, 340, 240, 344)(241, 345, 254, 358, 242, 346, 252, 356)(243, 347, 270, 374, 250, 354, 272, 376)(244, 348, 274, 378, 253, 357, 276, 380)(245, 349, 278, 382, 246, 350, 273, 377)(247, 351, 283, 387, 248, 352, 269, 373)(249, 353, 265, 369, 251, 355, 267, 371)(255, 359, 280, 384, 256, 360, 277, 381)(257, 361, 285, 389, 258, 362, 282, 386)(259, 363, 295, 399, 260, 364, 293, 397)(261, 365, 299, 403, 262, 366, 297, 401)(263, 367, 303, 407, 264, 368, 301, 405)(266, 370, 307, 411, 268, 372, 305, 409)(271, 375, 304, 408, 288, 392, 302, 406)(275, 379, 308, 412, 291, 395, 306, 410)(279, 383, 298, 402, 281, 385, 300, 404)(284, 388, 294, 398, 286, 390, 296, 400)(287, 391, 312, 416, 289, 393, 310, 414)(290, 394, 309, 413, 292, 396, 311, 415)
	L = (1, 210)(2, 209)(3, 215)(4, 217)(5, 218)(6, 220)(7, 211)(8, 219)(9, 212)(10, 213)(11, 216)(12, 214)(13, 225)(14, 226)(15, 227)(16, 228)(17, 221)(18, 222)(19, 223)(20, 224)(21, 233)(22, 234)(23, 235)(24, 236)(25, 229)(26, 230)(27, 231)(28, 232)(29, 241)(30, 242)(31, 265)(32, 267)(33, 237)(34, 238)(35, 269)(36, 273)(37, 277)(38, 280)(39, 282)(40, 285)(41, 270)(42, 283)(43, 272)(44, 274)(45, 278)(46, 276)(47, 293)(48, 295)(49, 297)(50, 299)(51, 301)(52, 303)(53, 305)(54, 307)(55, 309)(56, 311)(57, 239)(58, 312)(59, 240)(60, 310)(61, 243)(62, 249)(63, 296)(64, 251)(65, 244)(66, 252)(67, 300)(68, 254)(69, 245)(70, 253)(71, 284)(72, 246)(73, 286)(74, 247)(75, 250)(76, 279)(77, 248)(78, 281)(79, 304)(80, 294)(81, 302)(82, 308)(83, 298)(84, 306)(85, 255)(86, 288)(87, 256)(88, 271)(89, 257)(90, 291)(91, 258)(92, 275)(93, 259)(94, 289)(95, 260)(96, 287)(97, 261)(98, 292)(99, 262)(100, 290)(101, 263)(102, 268)(103, 264)(104, 266)(105, 313)(106, 314)(107, 315)(108, 316)(109, 317)(110, 318)(111, 319)(112, 320)(113, 321)(114, 322)(115, 323)(116, 324)(117, 325)(118, 326)(119, 327)(120, 328)(121, 329)(122, 330)(123, 331)(124, 332)(125, 333)(126, 334)(127, 335)(128, 336)(129, 337)(130, 338)(131, 339)(132, 340)(133, 341)(134, 342)(135, 343)(136, 344)(137, 345)(138, 346)(139, 347)(140, 348)(141, 349)(142, 350)(143, 351)(144, 352)(145, 353)(146, 354)(147, 355)(148, 356)(149, 357)(150, 358)(151, 359)(152, 360)(153, 361)(154, 362)(155, 363)(156, 364)(157, 365)(158, 366)(159, 367)(160, 368)(161, 369)(162, 370)(163, 371)(164, 372)(165, 373)(166, 374)(167, 375)(168, 376)(169, 377)(170, 378)(171, 379)(172, 380)(173, 381)(174, 382)(175, 383)(176, 384)(177, 385)(178, 386)(179, 387)(180, 388)(181, 389)(182, 390)(183, 391)(184, 392)(185, 393)(186, 394)(187, 395)(188, 396)(189, 397)(190, 398)(191, 399)(192, 400)(193, 401)(194, 402)(195, 403)(196, 404)(197, 405)(198, 406)(199, 407)(200, 408)(201, 409)(202, 410)(203, 411)(204, 412)(205, 413)(206, 414)(207, 415)(208, 416)
	local type(s) :: { ( 2, 104, 2, 104 ), ( 2, 104, 2, 104, 2, 104, 2, 104 ) }
Outer automorphisms :: reflexible
Dual of E13.1506
Graph:: bipartite
	v = 78 e = 208 f = 106
	degree seq :: [ 4^52, 8^26 ]

E13.1504 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 52})
Quotient :: dipole
Aut^+ = C4 x D26 (small group id <104, 5>)
Aut   = D8 x D26 (small group id <208, 39>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, (Y2^-1 * Y1^-1)^2, (R * Y1)^2, (R * Y3)^2, Y1^4, (Y2 * Y1^-1)^2, (Y3^-1 * Y1^-1)^2, Y2^25 * Y1 * Y2^-1 * Y1^-1 ]
Map::
	R = (1, 105, 2, 106, 6, 110, 4, 108)(3, 107, 9, 113, 13, 117, 8, 112)(5, 109, 11, 115, 14, 118, 7, 111)(10, 114, 16, 120, 21, 125, 17, 121)(12, 116, 15, 119, 22, 126, 19, 123)(18, 122, 25, 129, 29, 133, 24, 128)(20, 124, 27, 131, 30, 134, 23, 127)(26, 130, 32, 136, 37, 141, 33, 137)(28, 132, 31, 135, 38, 142, 35, 139)(34, 138, 41, 145, 45, 149, 40, 144)(36, 140, 43, 147, 46, 150, 39, 143)(42, 146, 48, 152, 53, 157, 49, 153)(44, 148, 47, 151, 54, 158, 51, 155)(50, 154, 57, 161, 61, 165, 56, 160)(52, 156, 59, 163, 62, 166, 55, 159)(58, 162, 64, 168, 69, 173, 65, 169)(60, 164, 63, 167, 70, 174, 67, 171)(66, 170, 73, 177, 77, 181, 72, 176)(68, 172, 75, 179, 78, 182, 71, 175)(74, 178, 80, 184, 85, 189, 81, 185)(76, 180, 79, 183, 86, 190, 83, 187)(82, 186, 89, 193, 93, 197, 88, 192)(84, 188, 91, 195, 94, 198, 87, 191)(90, 194, 96, 200, 101, 205, 97, 201)(92, 196, 95, 199, 102, 206, 99, 203)(98, 202, 103, 207, 100, 204, 104, 208)(209, 313, 211, 315, 218, 322, 226, 330, 234, 338, 242, 346, 250, 354, 258, 362, 266, 370, 274, 378, 282, 386, 290, 394, 298, 402, 306, 410, 310, 414, 302, 406, 294, 398, 286, 390, 278, 382, 270, 374, 262, 366, 254, 358, 246, 350, 238, 342, 230, 334, 222, 326, 214, 318, 221, 325, 229, 333, 237, 341, 245, 349, 253, 357, 261, 365, 269, 373, 277, 381, 285, 389, 293, 397, 301, 405, 309, 413, 308, 412, 300, 404, 292, 396, 284, 388, 276, 380, 268, 372, 260, 364, 252, 356, 244, 348, 236, 340, 228, 332, 220, 324, 213, 317)(210, 314, 215, 319, 223, 327, 231, 335, 239, 343, 247, 351, 255, 359, 263, 367, 271, 375, 279, 383, 287, 391, 295, 399, 303, 407, 311, 415, 305, 409, 297, 401, 289, 393, 281, 385, 273, 377, 265, 369, 257, 361, 249, 353, 241, 345, 233, 337, 225, 329, 217, 321, 212, 316, 219, 323, 227, 331, 235, 339, 243, 347, 251, 355, 259, 363, 267, 371, 275, 379, 283, 387, 291, 395, 299, 403, 307, 411, 312, 416, 304, 408, 296, 400, 288, 392, 280, 384, 272, 376, 264, 368, 256, 360, 248, 352, 240, 344, 232, 336, 224, 328, 216, 320)
	L = (1, 211)(2, 215)(3, 218)(4, 219)(5, 209)(6, 221)(7, 223)(8, 210)(9, 212)(10, 226)(11, 227)(12, 213)(13, 229)(14, 214)(15, 231)(16, 216)(17, 217)(18, 234)(19, 235)(20, 220)(21, 237)(22, 222)(23, 239)(24, 224)(25, 225)(26, 242)(27, 243)(28, 228)(29, 245)(30, 230)(31, 247)(32, 232)(33, 233)(34, 250)(35, 251)(36, 236)(37, 253)(38, 238)(39, 255)(40, 240)(41, 241)(42, 258)(43, 259)(44, 244)(45, 261)(46, 246)(47, 263)(48, 248)(49, 249)(50, 266)(51, 267)(52, 252)(53, 269)(54, 254)(55, 271)(56, 256)(57, 257)(58, 274)(59, 275)(60, 260)(61, 277)(62, 262)(63, 279)(64, 264)(65, 265)(66, 282)(67, 283)(68, 268)(69, 285)(70, 270)(71, 287)(72, 272)(73, 273)(74, 290)(75, 291)(76, 276)(77, 293)(78, 278)(79, 295)(80, 280)(81, 281)(82, 298)(83, 299)(84, 284)(85, 301)(86, 286)(87, 303)(88, 288)(89, 289)(90, 306)(91, 307)(92, 292)(93, 309)(94, 294)(95, 311)(96, 296)(97, 297)(98, 310)(99, 312)(100, 300)(101, 308)(102, 302)(103, 305)(104, 304)(105, 313)(106, 314)(107, 315)(108, 316)(109, 317)(110, 318)(111, 319)(112, 320)(113, 321)(114, 322)(115, 323)(116, 324)(117, 325)(118, 326)(119, 327)(120, 328)(121, 329)(122, 330)(123, 331)(124, 332)(125, 333)(126, 334)(127, 335)(128, 336)(129, 337)(130, 338)(131, 339)(132, 340)(133, 341)(134, 342)(135, 343)(136, 344)(137, 345)(138, 346)(139, 347)(140, 348)(141, 349)(142, 350)(143, 351)(144, 352)(145, 353)(146, 354)(147, 355)(148, 356)(149, 357)(150, 358)(151, 359)(152, 360)(153, 361)(154, 362)(155, 363)(156, 364)(157, 365)(158, 366)(159, 367)(160, 368)(161, 369)(162, 370)(163, 371)(164, 372)(165, 373)(166, 374)(167, 375)(168, 376)(169, 377)(170, 378)(171, 379)(172, 380)(173, 381)(174, 382)(175, 383)(176, 384)(177, 385)(178, 386)(179, 387)(180, 388)(181, 389)(182, 390)(183, 391)(184, 392)(185, 393)(186, 394)(187, 395)(188, 396)(189, 397)(190, 398)(191, 399)(192, 400)(193, 401)(194, 402)(195, 403)(196, 404)(197, 405)(198, 406)(199, 407)(200, 408)(201, 409)(202, 410)(203, 411)(204, 412)(205, 413)(206, 414)(207, 415)(208, 416)
	local type(s) :: { ( 2, 4, 2, 4, 2, 4, 2, 4 ), ( 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 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 E13.1505
Graph:: bipartite
	v = 28 e = 208 f = 156
	degree seq :: [ 8^26, 104^2 ]

E13.1505 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 52})
Quotient :: dipole
Aut^+ = C4 x D26 (small group id <104, 5>)
Aut   = D8 x D26 (small group id <208, 39>)
|r| :: 2
Presentation :: [ Y1, Y2^2, R^2, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, (Y3^-2 * Y2)^2, Y3^-1 * Y2 * Y3^-1 * Y2 * Y3 * Y2 * Y3 * Y2, Y3^23 * Y2 * Y3^-1 * Y2 * Y3^2, (Y3^-1 * Y1^-1)^52 ]
Map:: polytopal
	R = (1, 105)(2, 106)(3, 107)(4, 108)(5, 109)(6, 110)(7, 111)(8, 112)(9, 113)(10, 114)(11, 115)(12, 116)(13, 117)(14, 118)(15, 119)(16, 120)(17, 121)(18, 122)(19, 123)(20, 124)(21, 125)(22, 126)(23, 127)(24, 128)(25, 129)(26, 130)(27, 131)(28, 132)(29, 133)(30, 134)(31, 135)(32, 136)(33, 137)(34, 138)(35, 139)(36, 140)(37, 141)(38, 142)(39, 143)(40, 144)(41, 145)(42, 146)(43, 147)(44, 148)(45, 149)(46, 150)(47, 151)(48, 152)(49, 153)(50, 154)(51, 155)(52, 156)(53, 157)(54, 158)(55, 159)(56, 160)(57, 161)(58, 162)(59, 163)(60, 164)(61, 165)(62, 166)(63, 167)(64, 168)(65, 169)(66, 170)(67, 171)(68, 172)(69, 173)(70, 174)(71, 175)(72, 176)(73, 177)(74, 178)(75, 179)(76, 180)(77, 181)(78, 182)(79, 183)(80, 184)(81, 185)(82, 186)(83, 187)(84, 188)(85, 189)(86, 190)(87, 191)(88, 192)(89, 193)(90, 194)(91, 195)(92, 196)(93, 197)(94, 198)(95, 199)(96, 200)(97, 201)(98, 202)(99, 203)(100, 204)(101, 205)(102, 206)(103, 207)(104, 208)(209, 313, 210, 314)(211, 315, 215, 319)(212, 316, 217, 321)(213, 317, 219, 323)(214, 318, 221, 325)(216, 320, 222, 326)(218, 322, 220, 324)(223, 327, 228, 332)(224, 328, 231, 335)(225, 329, 233, 337)(226, 330, 229, 333)(227, 331, 235, 339)(230, 334, 237, 341)(232, 336, 239, 343)(234, 338, 240, 344)(236, 340, 238, 342)(241, 345, 247, 351)(242, 346, 249, 353)(243, 347, 245, 349)(244, 348, 251, 355)(246, 350, 253, 357)(248, 352, 255, 359)(250, 354, 256, 360)(252, 356, 254, 358)(257, 361, 263, 367)(258, 362, 265, 369)(259, 363, 261, 365)(260, 364, 267, 371)(262, 366, 269, 373)(264, 368, 271, 375)(266, 370, 272, 376)(268, 372, 270, 374)(273, 377, 279, 383)(274, 378, 281, 385)(275, 379, 277, 381)(276, 380, 283, 387)(278, 382, 285, 389)(280, 384, 287, 391)(282, 386, 288, 392)(284, 388, 286, 390)(289, 393, 295, 399)(290, 394, 297, 401)(291, 395, 293, 397)(292, 396, 299, 403)(294, 398, 301, 405)(296, 400, 303, 407)(298, 402, 304, 408)(300, 404, 302, 406)(305, 409, 311, 415)(306, 410, 310, 414)(307, 411, 309, 413)(308, 412, 312, 416)
	L = (1, 211)(2, 213)(3, 216)(4, 209)(5, 220)(6, 210)(7, 223)(8, 225)(9, 226)(10, 212)(11, 228)(12, 230)(13, 231)(14, 214)(15, 217)(16, 215)(17, 234)(18, 235)(19, 218)(20, 221)(21, 219)(22, 238)(23, 239)(24, 222)(25, 224)(26, 242)(27, 243)(28, 227)(29, 229)(30, 246)(31, 247)(32, 232)(33, 233)(34, 250)(35, 251)(36, 236)(37, 237)(38, 254)(39, 255)(40, 240)(41, 241)(42, 258)(43, 259)(44, 244)(45, 245)(46, 262)(47, 263)(48, 248)(49, 249)(50, 266)(51, 267)(52, 252)(53, 253)(54, 270)(55, 271)(56, 256)(57, 257)(58, 274)(59, 275)(60, 260)(61, 261)(62, 278)(63, 279)(64, 264)(65, 265)(66, 282)(67, 283)(68, 268)(69, 269)(70, 286)(71, 287)(72, 272)(73, 273)(74, 290)(75, 291)(76, 276)(77, 277)(78, 294)(79, 295)(80, 280)(81, 281)(82, 298)(83, 299)(84, 284)(85, 285)(86, 302)(87, 303)(88, 288)(89, 289)(90, 306)(91, 307)(92, 292)(93, 293)(94, 310)(95, 311)(96, 296)(97, 297)(98, 309)(99, 312)(100, 300)(101, 301)(102, 305)(103, 308)(104, 304)(105, 313)(106, 314)(107, 315)(108, 316)(109, 317)(110, 318)(111, 319)(112, 320)(113, 321)(114, 322)(115, 323)(116, 324)(117, 325)(118, 326)(119, 327)(120, 328)(121, 329)(122, 330)(123, 331)(124, 332)(125, 333)(126, 334)(127, 335)(128, 336)(129, 337)(130, 338)(131, 339)(132, 340)(133, 341)(134, 342)(135, 343)(136, 344)(137, 345)(138, 346)(139, 347)(140, 348)(141, 349)(142, 350)(143, 351)(144, 352)(145, 353)(146, 354)(147, 355)(148, 356)(149, 357)(150, 358)(151, 359)(152, 360)(153, 361)(154, 362)(155, 363)(156, 364)(157, 365)(158, 366)(159, 367)(160, 368)(161, 369)(162, 370)(163, 371)(164, 372)(165, 373)(166, 374)(167, 375)(168, 376)(169, 377)(170, 378)(171, 379)(172, 380)(173, 381)(174, 382)(175, 383)(176, 384)(177, 385)(178, 386)(179, 387)(180, 388)(181, 389)(182, 390)(183, 391)(184, 392)(185, 393)(186, 394)(187, 395)(188, 396)(189, 397)(190, 398)(191, 399)(192, 400)(193, 401)(194, 402)(195, 403)(196, 404)(197, 405)(198, 406)(199, 407)(200, 408)(201, 409)(202, 410)(203, 411)(204, 412)(205, 413)(206, 414)(207, 415)(208, 416)
	local type(s) :: { ( 8, 104 ), ( 8, 104, 8, 104 ) }
Outer automorphisms :: reflexible
Dual of E13.1504
Graph:: simple bipartite
	v = 156 e = 208 f = 28
	degree seq :: [ 2^104, 4^52 ]

E13.1506 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 52})
Quotient :: dipole
Aut^+ = C4 x D26 (small group id <104, 5>)
Aut   = D8 x D26 (small group id <208, 39>)
|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 * Y1^11 * Y3 * Y1^-13 ]
Map::
	R = (1, 105, 2, 106, 5, 109, 11, 115, 20, 124, 29, 133, 37, 141, 45, 149, 53, 157, 61, 165, 69, 173, 77, 181, 85, 189, 93, 197, 101, 205, 98, 202, 90, 194, 82, 186, 74, 178, 66, 170, 58, 162, 50, 154, 42, 146, 34, 138, 26, 130, 16, 120, 23, 127, 17, 121, 24, 128, 32, 136, 40, 144, 48, 152, 56, 160, 64, 168, 72, 176, 80, 184, 88, 192, 96, 200, 104, 208, 100, 204, 92, 196, 84, 188, 76, 180, 68, 172, 60, 164, 52, 156, 44, 148, 36, 140, 28, 132, 19, 123, 10, 114, 4, 108)(3, 107, 7, 111, 15, 119, 25, 129, 33, 137, 41, 145, 49, 153, 57, 161, 65, 169, 73, 177, 81, 185, 89, 193, 97, 201, 102, 206, 95, 199, 86, 190, 79, 183, 70, 174, 63, 167, 54, 158, 47, 151, 38, 142, 31, 135, 21, 125, 14, 118, 6, 110, 13, 117, 9, 113, 18, 122, 27, 131, 35, 139, 43, 147, 51, 155, 59, 163, 67, 171, 75, 179, 83, 187, 91, 195, 99, 203, 103, 207, 94, 198, 87, 191, 78, 182, 71, 175, 62, 166, 55, 159, 46, 150, 39, 143, 30, 134, 22, 126, 12, 116, 8, 112)(209, 313)(210, 314)(211, 315)(212, 316)(213, 317)(214, 318)(215, 319)(216, 320)(217, 321)(218, 322)(219, 323)(220, 324)(221, 325)(222, 326)(223, 327)(224, 328)(225, 329)(226, 330)(227, 331)(228, 332)(229, 333)(230, 334)(231, 335)(232, 336)(233, 337)(234, 338)(235, 339)(236, 340)(237, 341)(238, 342)(239, 343)(240, 344)(241, 345)(242, 346)(243, 347)(244, 348)(245, 349)(246, 350)(247, 351)(248, 352)(249, 353)(250, 354)(251, 355)(252, 356)(253, 357)(254, 358)(255, 359)(256, 360)(257, 361)(258, 362)(259, 363)(260, 364)(261, 365)(262, 366)(263, 367)(264, 368)(265, 369)(266, 370)(267, 371)(268, 372)(269, 373)(270, 374)(271, 375)(272, 376)(273, 377)(274, 378)(275, 379)(276, 380)(277, 381)(278, 382)(279, 383)(280, 384)(281, 385)(282, 386)(283, 387)(284, 388)(285, 389)(286, 390)(287, 391)(288, 392)(289, 393)(290, 394)(291, 395)(292, 396)(293, 397)(294, 398)(295, 399)(296, 400)(297, 401)(298, 402)(299, 403)(300, 404)(301, 405)(302, 406)(303, 407)(304, 408)(305, 409)(306, 410)(307, 411)(308, 412)(309, 413)(310, 414)(311, 415)(312, 416)
	L = (1, 211)(2, 214)(3, 209)(4, 217)(5, 220)(6, 210)(7, 224)(8, 225)(9, 212)(10, 223)(11, 229)(12, 213)(13, 231)(14, 232)(15, 218)(16, 215)(17, 216)(18, 234)(19, 235)(20, 238)(21, 219)(22, 240)(23, 221)(24, 222)(25, 242)(26, 226)(27, 227)(28, 241)(29, 246)(30, 228)(31, 248)(32, 230)(33, 236)(34, 233)(35, 250)(36, 251)(37, 254)(38, 237)(39, 256)(40, 239)(41, 258)(42, 243)(43, 244)(44, 257)(45, 262)(46, 245)(47, 264)(48, 247)(49, 252)(50, 249)(51, 266)(52, 267)(53, 270)(54, 253)(55, 272)(56, 255)(57, 274)(58, 259)(59, 260)(60, 273)(61, 278)(62, 261)(63, 280)(64, 263)(65, 268)(66, 265)(67, 282)(68, 283)(69, 286)(70, 269)(71, 288)(72, 271)(73, 290)(74, 275)(75, 276)(76, 289)(77, 294)(78, 277)(79, 296)(80, 279)(81, 284)(82, 281)(83, 298)(84, 299)(85, 302)(86, 285)(87, 304)(88, 287)(89, 306)(90, 291)(91, 292)(92, 305)(93, 310)(94, 293)(95, 312)(96, 295)(97, 300)(98, 297)(99, 309)(100, 311)(101, 307)(102, 301)(103, 308)(104, 303)(105, 313)(106, 314)(107, 315)(108, 316)(109, 317)(110, 318)(111, 319)(112, 320)(113, 321)(114, 322)(115, 323)(116, 324)(117, 325)(118, 326)(119, 327)(120, 328)(121, 329)(122, 330)(123, 331)(124, 332)(125, 333)(126, 334)(127, 335)(128, 336)(129, 337)(130, 338)(131, 339)(132, 340)(133, 341)(134, 342)(135, 343)(136, 344)(137, 345)(138, 346)(139, 347)(140, 348)(141, 349)(142, 350)(143, 351)(144, 352)(145, 353)(146, 354)(147, 355)(148, 356)(149, 357)(150, 358)(151, 359)(152, 360)(153, 361)(154, 362)(155, 363)(156, 364)(157, 365)(158, 366)(159, 367)(160, 368)(161, 369)(162, 370)(163, 371)(164, 372)(165, 373)(166, 374)(167, 375)(168, 376)(169, 377)(170, 378)(171, 379)(172, 380)(173, 381)(174, 382)(175, 383)(176, 384)(177, 385)(178, 386)(179, 387)(180, 388)(181, 389)(182, 390)(183, 391)(184, 392)(185, 393)(186, 394)(187, 395)(188, 396)(189, 397)(190, 398)(191, 399)(192, 400)(193, 401)(194, 402)(195, 403)(196, 404)(197, 405)(198, 406)(199, 407)(200, 408)(201, 409)(202, 410)(203, 411)(204, 412)(205, 413)(206, 414)(207, 415)(208, 416)
	local type(s) :: { ( 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 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 E13.1503
Graph:: simple bipartite
	v = 106 e = 208 f = 78
	degree seq :: [ 2^104, 104^2 ]

E13.1507 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 52})
Quotient :: dipole
Aut^+ = C4 x D26 (small group id <104, 5>)
Aut   = D8 x D26 (small group id <208, 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)^2, (Y3 * Y2^-1)^4, Y2^21 * Y1 * Y2^-5 * Y1 ]
Map::
	R = (1, 105, 2, 106)(3, 107, 7, 111)(4, 108, 9, 113)(5, 109, 11, 115)(6, 110, 13, 117)(8, 112, 14, 118)(10, 114, 12, 116)(15, 119, 20, 124)(16, 120, 23, 127)(17, 121, 25, 129)(18, 122, 21, 125)(19, 123, 27, 131)(22, 126, 29, 133)(24, 128, 31, 135)(26, 130, 32, 136)(28, 132, 30, 134)(33, 137, 39, 143)(34, 138, 41, 145)(35, 139, 37, 141)(36, 140, 43, 147)(38, 142, 45, 149)(40, 144, 47, 151)(42, 146, 48, 152)(44, 148, 46, 150)(49, 153, 55, 159)(50, 154, 57, 161)(51, 155, 53, 157)(52, 156, 59, 163)(54, 158, 61, 165)(56, 160, 63, 167)(58, 162, 64, 168)(60, 164, 62, 166)(65, 169, 71, 175)(66, 170, 73, 177)(67, 171, 69, 173)(68, 172, 75, 179)(70, 174, 77, 181)(72, 176, 79, 183)(74, 178, 80, 184)(76, 180, 78, 182)(81, 185, 87, 191)(82, 186, 89, 193)(83, 187, 85, 189)(84, 188, 91, 195)(86, 190, 93, 197)(88, 192, 95, 199)(90, 194, 96, 200)(92, 196, 94, 198)(97, 201, 103, 207)(98, 202, 102, 206)(99, 203, 101, 205)(100, 204, 104, 208)(209, 313, 211, 315, 216, 320, 225, 329, 234, 338, 242, 346, 250, 354, 258, 362, 266, 370, 274, 378, 282, 386, 290, 394, 298, 402, 306, 410, 309, 413, 301, 405, 293, 397, 285, 389, 277, 381, 269, 373, 261, 365, 253, 357, 245, 349, 237, 341, 229, 333, 219, 323, 228, 332, 221, 325, 231, 335, 239, 343, 247, 351, 255, 359, 263, 367, 271, 375, 279, 383, 287, 391, 295, 399, 303, 407, 311, 415, 308, 412, 300, 404, 292, 396, 284, 388, 276, 380, 268, 372, 260, 364, 252, 356, 244, 348, 236, 340, 227, 331, 218, 322, 212, 316)(210, 314, 213, 317, 220, 324, 230, 334, 238, 342, 246, 350, 254, 358, 262, 366, 270, 374, 278, 382, 286, 390, 294, 398, 302, 406, 310, 414, 305, 409, 297, 401, 289, 393, 281, 385, 273, 377, 265, 369, 257, 361, 249, 353, 241, 345, 233, 337, 224, 328, 215, 319, 223, 327, 217, 321, 226, 330, 235, 339, 243, 347, 251, 355, 259, 363, 267, 371, 275, 379, 283, 387, 291, 395, 299, 403, 307, 411, 312, 416, 304, 408, 296, 400, 288, 392, 280, 384, 272, 376, 264, 368, 256, 360, 248, 352, 240, 344, 232, 336, 222, 326, 214, 318)
	L = (1, 210)(2, 209)(3, 215)(4, 217)(5, 219)(6, 221)(7, 211)(8, 222)(9, 212)(10, 220)(11, 213)(12, 218)(13, 214)(14, 216)(15, 228)(16, 231)(17, 233)(18, 229)(19, 235)(20, 223)(21, 226)(22, 237)(23, 224)(24, 239)(25, 225)(26, 240)(27, 227)(28, 238)(29, 230)(30, 236)(31, 232)(32, 234)(33, 247)(34, 249)(35, 245)(36, 251)(37, 243)(38, 253)(39, 241)(40, 255)(41, 242)(42, 256)(43, 244)(44, 254)(45, 246)(46, 252)(47, 248)(48, 250)(49, 263)(50, 265)(51, 261)(52, 267)(53, 259)(54, 269)(55, 257)(56, 271)(57, 258)(58, 272)(59, 260)(60, 270)(61, 262)(62, 268)(63, 264)(64, 266)(65, 279)(66, 281)(67, 277)(68, 283)(69, 275)(70, 285)(71, 273)(72, 287)(73, 274)(74, 288)(75, 276)(76, 286)(77, 278)(78, 284)(79, 280)(80, 282)(81, 295)(82, 297)(83, 293)(84, 299)(85, 291)(86, 301)(87, 289)(88, 303)(89, 290)(90, 304)(91, 292)(92, 302)(93, 294)(94, 300)(95, 296)(96, 298)(97, 311)(98, 310)(99, 309)(100, 312)(101, 307)(102, 306)(103, 305)(104, 308)(105, 313)(106, 314)(107, 315)(108, 316)(109, 317)(110, 318)(111, 319)(112, 320)(113, 321)(114, 322)(115, 323)(116, 324)(117, 325)(118, 326)(119, 327)(120, 328)(121, 329)(122, 330)(123, 331)(124, 332)(125, 333)(126, 334)(127, 335)(128, 336)(129, 337)(130, 338)(131, 339)(132, 340)(133, 341)(134, 342)(135, 343)(136, 344)(137, 345)(138, 346)(139, 347)(140, 348)(141, 349)(142, 350)(143, 351)(144, 352)(145, 353)(146, 354)(147, 355)(148, 356)(149, 357)(150, 358)(151, 359)(152, 360)(153, 361)(154, 362)(155, 363)(156, 364)(157, 365)(158, 366)(159, 367)(160, 368)(161, 369)(162, 370)(163, 371)(164, 372)(165, 373)(166, 374)(167, 375)(168, 376)(169, 377)(170, 378)(171, 379)(172, 380)(173, 381)(174, 382)(175, 383)(176, 384)(177, 385)(178, 386)(179, 387)(180, 388)(181, 389)(182, 390)(183, 391)(184, 392)(185, 393)(186, 394)(187, 395)(188, 396)(189, 397)(190, 398)(191, 399)(192, 400)(193, 401)(194, 402)(195, 403)(196, 404)(197, 405)(198, 406)(199, 407)(200, 408)(201, 409)(202, 410)(203, 411)(204, 412)(205, 413)(206, 414)(207, 415)(208, 416)
	local type(s) :: { ( 2, 8, 2, 8 ), ( 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8 ) }
Outer automorphisms :: reflexible
Dual of E13.1508
Graph:: bipartite
	v = 54 e = 208 f = 130
	degree seq :: [ 4^52, 104^2 ]

E13.1508 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 52})
Quotient :: dipole
Aut^+ = C4 x D26 (small group id <104, 5>)
Aut   = D8 x D26 (small group id <208, 39>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y3)^2, (R * Y1)^2, Y1^4, (Y3^-1 * Y1)^2, (Y3^-1 * Y1^-1)^2, (R * Y2 * Y3^-1)^2, Y1^-1 * Y3^-26 * Y1^-1, (Y3 * Y2^-1)^52 ]
Map::
	R = (1, 105, 2, 106, 6, 110, 4, 108)(3, 107, 9, 113, 13, 117, 8, 112)(5, 109, 11, 115, 14, 118, 7, 111)(10, 114, 16, 120, 21, 125, 17, 121)(12, 116, 15, 119, 22, 126, 19, 123)(18, 122, 25, 129, 29, 133, 24, 128)(20, 124, 27, 131, 30, 134, 23, 127)(26, 130, 32, 136, 37, 141, 33, 137)(28, 132, 31, 135, 38, 142, 35, 139)(34, 138, 41, 145, 45, 149, 40, 144)(36, 140, 43, 147, 46, 150, 39, 143)(42, 146, 48, 152, 53, 157, 49, 153)(44, 148, 47, 151, 54, 158, 51, 155)(50, 154, 57, 161, 61, 165, 56, 160)(52, 156, 59, 163, 62, 166, 55, 159)(58, 162, 64, 168, 69, 173, 65, 169)(60, 164, 63, 167, 70, 174, 67, 171)(66, 170, 73, 177, 77, 181, 72, 176)(68, 172, 75, 179, 78, 182, 71, 175)(74, 178, 80, 184, 85, 189, 81, 185)(76, 180, 79, 183, 86, 190, 83, 187)(82, 186, 89, 193, 93, 197, 88, 192)(84, 188, 91, 195, 94, 198, 87, 191)(90, 194, 96, 200, 101, 205, 97, 201)(92, 196, 95, 199, 102, 206, 99, 203)(98, 202, 103, 207, 100, 204, 104, 208)(209, 313)(210, 314)(211, 315)(212, 316)(213, 317)(214, 318)(215, 319)(216, 320)(217, 321)(218, 322)(219, 323)(220, 324)(221, 325)(222, 326)(223, 327)(224, 328)(225, 329)(226, 330)(227, 331)(228, 332)(229, 333)(230, 334)(231, 335)(232, 336)(233, 337)(234, 338)(235, 339)(236, 340)(237, 341)(238, 342)(239, 343)(240, 344)(241, 345)(242, 346)(243, 347)(244, 348)(245, 349)(246, 350)(247, 351)(248, 352)(249, 353)(250, 354)(251, 355)(252, 356)(253, 357)(254, 358)(255, 359)(256, 360)(257, 361)(258, 362)(259, 363)(260, 364)(261, 365)(262, 366)(263, 367)(264, 368)(265, 369)(266, 370)(267, 371)(268, 372)(269, 373)(270, 374)(271, 375)(272, 376)(273, 377)(274, 378)(275, 379)(276, 380)(277, 381)(278, 382)(279, 383)(280, 384)(281, 385)(282, 386)(283, 387)(284, 388)(285, 389)(286, 390)(287, 391)(288, 392)(289, 393)(290, 394)(291, 395)(292, 396)(293, 397)(294, 398)(295, 399)(296, 400)(297, 401)(298, 402)(299, 403)(300, 404)(301, 405)(302, 406)(303, 407)(304, 408)(305, 409)(306, 410)(307, 411)(308, 412)(309, 413)(310, 414)(311, 415)(312, 416)
	L = (1, 211)(2, 215)(3, 218)(4, 219)(5, 209)(6, 221)(7, 223)(8, 210)(9, 212)(10, 226)(11, 227)(12, 213)(13, 229)(14, 214)(15, 231)(16, 216)(17, 217)(18, 234)(19, 235)(20, 220)(21, 237)(22, 222)(23, 239)(24, 224)(25, 225)(26, 242)(27, 243)(28, 228)(29, 245)(30, 230)(31, 247)(32, 232)(33, 233)(34, 250)(35, 251)(36, 236)(37, 253)(38, 238)(39, 255)(40, 240)(41, 241)(42, 258)(43, 259)(44, 244)(45, 261)(46, 246)(47, 263)(48, 248)(49, 249)(50, 266)(51, 267)(52, 252)(53, 269)(54, 254)(55, 271)(56, 256)(57, 257)(58, 274)(59, 275)(60, 260)(61, 277)(62, 262)(63, 279)(64, 264)(65, 265)(66, 282)(67, 283)(68, 268)(69, 285)(70, 270)(71, 287)(72, 272)(73, 273)(74, 290)(75, 291)(76, 276)(77, 293)(78, 278)(79, 295)(80, 280)(81, 281)(82, 298)(83, 299)(84, 284)(85, 301)(86, 286)(87, 303)(88, 288)(89, 289)(90, 306)(91, 307)(92, 292)(93, 309)(94, 294)(95, 311)(96, 296)(97, 297)(98, 310)(99, 312)(100, 300)(101, 308)(102, 302)(103, 305)(104, 304)(105, 313)(106, 314)(107, 315)(108, 316)(109, 317)(110, 318)(111, 319)(112, 320)(113, 321)(114, 322)(115, 323)(116, 324)(117, 325)(118, 326)(119, 327)(120, 328)(121, 329)(122, 330)(123, 331)(124, 332)(125, 333)(126, 334)(127, 335)(128, 336)(129, 337)(130, 338)(131, 339)(132, 340)(133, 341)(134, 342)(135, 343)(136, 344)(137, 345)(138, 346)(139, 347)(140, 348)(141, 349)(142, 350)(143, 351)(144, 352)(145, 353)(146, 354)(147, 355)(148, 356)(149, 357)(150, 358)(151, 359)(152, 360)(153, 361)(154, 362)(155, 363)(156, 364)(157, 365)(158, 366)(159, 367)(160, 368)(161, 369)(162, 370)(163, 371)(164, 372)(165, 373)(166, 374)(167, 375)(168, 376)(169, 377)(170, 378)(171, 379)(172, 380)(173, 381)(174, 382)(175, 383)(176, 384)(177, 385)(178, 386)(179, 387)(180, 388)(181, 389)(182, 390)(183, 391)(184, 392)(185, 393)(186, 394)(187, 395)(188, 396)(189, 397)(190, 398)(191, 399)(192, 400)(193, 401)(194, 402)(195, 403)(196, 404)(197, 405)(198, 406)(199, 407)(200, 408)(201, 409)(202, 410)(203, 411)(204, 412)(205, 413)(206, 414)(207, 415)(208, 416)
	local type(s) :: { ( 4, 104 ), ( 4, 104, 4, 104, 4, 104, 4, 104 ) }
Outer automorphisms :: reflexible
Dual of E13.1507
Graph:: simple bipartite
	v = 130 e = 208 f = 54
	degree seq :: [ 2^104, 8^26 ]

E13.1509 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 4, 28})
Quotient :: regular
Aut^+ = (C28 x C2) : C2 (small group id <112, 13>)
Aut   = (C2 x C2 x C2 x D14) : C2 (small group id <224, 77>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, (T1^-2 * T2)^2, (T1 * T2)^4, T1^28 ]
Map:: polytopal non-degenerate
	R = (1, 2, 5, 11, 20, 29, 37, 45, 53, 61, 69, 77, 85, 93, 101, 100, 92, 84, 76, 68, 60, 52, 44, 36, 28, 19, 10, 4)(3, 7, 15, 25, 33, 41, 49, 57, 65, 73, 81, 89, 97, 105, 108, 103, 94, 87, 78, 71, 62, 55, 46, 39, 30, 22, 12, 8)(6, 13, 9, 18, 27, 35, 43, 51, 59, 67, 75, 83, 91, 99, 107, 109, 102, 95, 86, 79, 70, 63, 54, 47, 38, 31, 21, 14)(16, 23, 17, 24, 32, 40, 48, 56, 64, 72, 80, 88, 96, 104, 110, 112, 111, 106, 98, 90, 82, 74, 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, 70)(63, 72)(67, 74)(68, 75)(69, 78)(71, 80)(73, 82)(76, 81)(77, 86)(79, 88)(83, 90)(84, 91)(85, 94)(87, 96)(89, 98)(92, 97)(93, 102)(95, 104)(99, 106)(100, 107)(101, 108)(103, 110)(105, 111)(109, 112)
	local type(s) :: { ( 4^28 ) }
Outer automorphisms :: reflexible
Dual of E13.1510
Transitivity :: ET+ VT+ AT+ REG+
Graph:: bipartite
	v = 4 e = 56 f = 28
	degree seq :: [ 28^4 ]

E13.1510 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 4, 28})
Quotient :: regular
Aut^+ = (C28 x C2) : C2 (small group id <112, 13>)
Aut   = (C2 x C2 x C2 x D14) : C2 (small group id <224, 77>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T1^4, (T1^-1 * T2 * T1^-1)^2, (T1 * T2)^28 ]
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, 51, 32, 52)(35, 55, 38, 56)(36, 57, 37, 58)(39, 59, 40, 60)(41, 61, 42, 62)(43, 63, 44, 64)(45, 65, 46, 66)(47, 67, 48, 68)(49, 69, 50, 70)(53, 73, 54, 74)(71, 91, 72, 92)(75, 95, 76, 96)(77, 97, 78, 98)(79, 99, 80, 100)(81, 101, 82, 102)(83, 103, 84, 104)(85, 105, 86, 106)(87, 107, 88, 108)(89, 109, 90, 110)(93, 111, 94, 112)
	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, 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, 75)(74, 76)(77, 91)(78, 92)(79, 95)(80, 96)(81, 97)(82, 98)(83, 99)(84, 100)(85, 101)(86, 102)(87, 103)(88, 104)(89, 105)(90, 106)(93, 107)(94, 108)(109, 111)(110, 112)
	local type(s) :: { ( 28^4 ) }
Outer automorphisms :: reflexible
Dual of E13.1509
Transitivity :: ET+ VT+ AT+ REG+
Graph:: bipartite
	v = 28 e = 56 f = 4
	degree seq :: [ 4^28 ]

E13.1511 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 4, 28})
Quotient :: edge
Aut^+ = (C28 x C2) : C2 (small group id <112, 13>)
Aut   = (C2 x C2 x C2 x D14) : C2 (small group id <224, 77>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T1)^2, (F * T2)^2, T2^4, (T2^-1 * T1 * T2^-1)^2, (T2 * T1)^28 ]
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, 35, 34, 38)(36, 52, 41, 51)(37, 58, 39, 55)(40, 61, 42, 56)(43, 59, 44, 57)(45, 62, 46, 60)(47, 64, 48, 63)(49, 66, 50, 65)(53, 68, 54, 67)(69, 71, 70, 72)(73, 75, 74, 76)(77, 92, 78, 91)(79, 96, 80, 95)(81, 98, 82, 97)(83, 100, 84, 99)(85, 102, 86, 101)(87, 104, 88, 103)(89, 106, 90, 105)(93, 108, 94, 107)(109, 111, 110, 112)(113, 114)(115, 119)(116, 121)(117, 122)(118, 124)(120, 123)(125, 129)(126, 130)(127, 131)(128, 132)(133, 137)(134, 138)(135, 139)(136, 140)(141, 145)(142, 146)(143, 163)(144, 164)(147, 167)(148, 168)(149, 169)(150, 170)(151, 171)(152, 172)(153, 173)(154, 174)(155, 175)(156, 176)(157, 177)(158, 178)(159, 179)(160, 180)(161, 181)(162, 182)(165, 185)(166, 186)(183, 203)(184, 204)(187, 207)(188, 208)(189, 209)(190, 210)(191, 211)(192, 212)(193, 213)(194, 214)(195, 215)(196, 216)(197, 217)(198, 218)(199, 219)(200, 220)(201, 221)(202, 222)(205, 223)(206, 224)
	L = (1, 113)(2, 114)(3, 115)(4, 116)(5, 117)(6, 118)(7, 119)(8, 120)(9, 121)(10, 122)(11, 123)(12, 124)(13, 125)(14, 126)(15, 127)(16, 128)(17, 129)(18, 130)(19, 131)(20, 132)(21, 133)(22, 134)(23, 135)(24, 136)(25, 137)(26, 138)(27, 139)(28, 140)(29, 141)(30, 142)(31, 143)(32, 144)(33, 145)(34, 146)(35, 147)(36, 148)(37, 149)(38, 150)(39, 151)(40, 152)(41, 153)(42, 154)(43, 155)(44, 156)(45, 157)(46, 158)(47, 159)(48, 160)(49, 161)(50, 162)(51, 163)(52, 164)(53, 165)(54, 166)(55, 167)(56, 168)(57, 169)(58, 170)(59, 171)(60, 172)(61, 173)(62, 174)(63, 175)(64, 176)(65, 177)(66, 178)(67, 179)(68, 180)(69, 181)(70, 182)(71, 183)(72, 184)(73, 185)(74, 186)(75, 187)(76, 188)(77, 189)(78, 190)(79, 191)(80, 192)(81, 193)(82, 194)(83, 195)(84, 196)(85, 197)(86, 198)(87, 199)(88, 200)(89, 201)(90, 202)(91, 203)(92, 204)(93, 205)(94, 206)(95, 207)(96, 208)(97, 209)(98, 210)(99, 211)(100, 212)(101, 213)(102, 214)(103, 215)(104, 216)(105, 217)(106, 218)(107, 219)(108, 220)(109, 221)(110, 222)(111, 223)(112, 224)
	local type(s) :: { ( 56, 56 ), ( 56^4 ) }
Outer automorphisms :: reflexible
Dual of E13.1515
Transitivity :: ET+
Graph:: simple bipartite
	v = 84 e = 112 f = 4
	degree seq :: [ 2^56, 4^28 ]

E13.1512 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 4, 28})
Quotient :: edge
Aut^+ = (C28 x C2) : C2 (small group id <112, 13>)
Aut   = (C2 x C2 x C2 x D14) : C2 (small group id <224, 77>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, T1^4, (T2^-1 * T1^-1)^2, (T2 * T1^-1)^2, T2^28 ]
Map:: polytopal non-degenerate
	R = (1, 3, 10, 18, 26, 34, 42, 50, 58, 66, 74, 82, 90, 98, 106, 100, 92, 84, 76, 68, 60, 52, 44, 36, 28, 20, 12, 5)(2, 7, 15, 23, 31, 39, 47, 55, 63, 71, 79, 87, 95, 103, 110, 104, 96, 88, 80, 72, 64, 56, 48, 40, 32, 24, 16, 8)(4, 11, 19, 27, 35, 43, 51, 59, 67, 75, 83, 91, 99, 107, 111, 105, 97, 89, 81, 73, 65, 57, 49, 41, 33, 25, 17, 9)(6, 13, 21, 29, 37, 45, 53, 61, 69, 77, 85, 93, 101, 108, 112, 109, 102, 94, 86, 78, 70, 62, 54, 46, 38, 30, 22, 14)(113, 114, 118, 116)(115, 121, 125, 120)(117, 123, 126, 119)(122, 128, 133, 129)(124, 127, 134, 131)(130, 137, 141, 136)(132, 139, 142, 135)(138, 144, 149, 145)(140, 143, 150, 147)(146, 153, 157, 152)(148, 155, 158, 151)(154, 160, 165, 161)(156, 159, 166, 163)(162, 169, 173, 168)(164, 171, 174, 167)(170, 176, 181, 177)(172, 175, 182, 179)(178, 185, 189, 184)(180, 187, 190, 183)(186, 192, 197, 193)(188, 191, 198, 195)(194, 201, 205, 200)(196, 203, 206, 199)(202, 208, 213, 209)(204, 207, 214, 211)(210, 217, 220, 216)(212, 219, 221, 215)(218, 222, 224, 223)
	L = (1, 113)(2, 114)(3, 115)(4, 116)(5, 117)(6, 118)(7, 119)(8, 120)(9, 121)(10, 122)(11, 123)(12, 124)(13, 125)(14, 126)(15, 127)(16, 128)(17, 129)(18, 130)(19, 131)(20, 132)(21, 133)(22, 134)(23, 135)(24, 136)(25, 137)(26, 138)(27, 139)(28, 140)(29, 141)(30, 142)(31, 143)(32, 144)(33, 145)(34, 146)(35, 147)(36, 148)(37, 149)(38, 150)(39, 151)(40, 152)(41, 153)(42, 154)(43, 155)(44, 156)(45, 157)(46, 158)(47, 159)(48, 160)(49, 161)(50, 162)(51, 163)(52, 164)(53, 165)(54, 166)(55, 167)(56, 168)(57, 169)(58, 170)(59, 171)(60, 172)(61, 173)(62, 174)(63, 175)(64, 176)(65, 177)(66, 178)(67, 179)(68, 180)(69, 181)(70, 182)(71, 183)(72, 184)(73, 185)(74, 186)(75, 187)(76, 188)(77, 189)(78, 190)(79, 191)(80, 192)(81, 193)(82, 194)(83, 195)(84, 196)(85, 197)(86, 198)(87, 199)(88, 200)(89, 201)(90, 202)(91, 203)(92, 204)(93, 205)(94, 206)(95, 207)(96, 208)(97, 209)(98, 210)(99, 211)(100, 212)(101, 213)(102, 214)(103, 215)(104, 216)(105, 217)(106, 218)(107, 219)(108, 220)(109, 221)(110, 222)(111, 223)(112, 224)
	local type(s) :: { ( 4^4 ), ( 4^28 ) }
Outer automorphisms :: reflexible
Dual of E13.1516
Transitivity :: ET+
Graph:: simple bipartite
	v = 32 e = 112 f = 56
	degree seq :: [ 4^28, 28^4 ]

E13.1513 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 4, 28})
Quotient :: edge
Aut^+ = (C28 x C2) : C2 (small group id <112, 13>)
Aut   = (C2 x C2 x C2 x D14) : C2 (small group id <224, 77>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, (T1^-2 * T2)^2, (T2 * T1)^4, T1^28 ]
Map:: polytopal
	R = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 17)(10, 15)(11, 21)(13, 23)(14, 24)(18, 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, 70)(63, 72)(67, 74)(68, 75)(69, 78)(71, 80)(73, 82)(76, 81)(77, 86)(79, 88)(83, 90)(84, 91)(85, 94)(87, 96)(89, 98)(92, 97)(93, 102)(95, 104)(99, 106)(100, 107)(101, 108)(103, 110)(105, 111)(109, 112)(113, 114, 117, 123, 132, 141, 149, 157, 165, 173, 181, 189, 197, 205, 213, 212, 204, 196, 188, 180, 172, 164, 156, 148, 140, 131, 122, 116)(115, 119, 127, 137, 145, 153, 161, 169, 177, 185, 193, 201, 209, 217, 220, 215, 206, 199, 190, 183, 174, 167, 158, 151, 142, 134, 124, 120)(118, 125, 121, 130, 139, 147, 155, 163, 171, 179, 187, 195, 203, 211, 219, 221, 214, 207, 198, 191, 182, 175, 166, 159, 150, 143, 133, 126)(128, 135, 129, 136, 144, 152, 160, 168, 176, 184, 192, 200, 208, 216, 222, 224, 223, 218, 210, 202, 194, 186, 178, 170, 162, 154, 146, 138)
	L = (1, 113)(2, 114)(3, 115)(4, 116)(5, 117)(6, 118)(7, 119)(8, 120)(9, 121)(10, 122)(11, 123)(12, 124)(13, 125)(14, 126)(15, 127)(16, 128)(17, 129)(18, 130)(19, 131)(20, 132)(21, 133)(22, 134)(23, 135)(24, 136)(25, 137)(26, 138)(27, 139)(28, 140)(29, 141)(30, 142)(31, 143)(32, 144)(33, 145)(34, 146)(35, 147)(36, 148)(37, 149)(38, 150)(39, 151)(40, 152)(41, 153)(42, 154)(43, 155)(44, 156)(45, 157)(46, 158)(47, 159)(48, 160)(49, 161)(50, 162)(51, 163)(52, 164)(53, 165)(54, 166)(55, 167)(56, 168)(57, 169)(58, 170)(59, 171)(60, 172)(61, 173)(62, 174)(63, 175)(64, 176)(65, 177)(66, 178)(67, 179)(68, 180)(69, 181)(70, 182)(71, 183)(72, 184)(73, 185)(74, 186)(75, 187)(76, 188)(77, 189)(78, 190)(79, 191)(80, 192)(81, 193)(82, 194)(83, 195)(84, 196)(85, 197)(86, 198)(87, 199)(88, 200)(89, 201)(90, 202)(91, 203)(92, 204)(93, 205)(94, 206)(95, 207)(96, 208)(97, 209)(98, 210)(99, 211)(100, 212)(101, 213)(102, 214)(103, 215)(104, 216)(105, 217)(106, 218)(107, 219)(108, 220)(109, 221)(110, 222)(111, 223)(112, 224)
	local type(s) :: { ( 8, 8 ), ( 8^28 ) }
Outer automorphisms :: reflexible
Dual of E13.1514
Transitivity :: ET+
Graph:: simple bipartite
	v = 60 e = 112 f = 28
	degree seq :: [ 2^56, 28^4 ]

E13.1514 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 4, 28})
Quotient :: loop
Aut^+ = (C28 x C2) : C2 (small group id <112, 13>)
Aut   = (C2 x C2 x C2 x D14) : C2 (small group id <224, 77>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T1)^2, (F * T2)^2, T2^4, (T2^-1 * T1 * T2^-1)^2, (T2 * T1)^28 ]
Map::
	R = (1, 113, 3, 115, 8, 120, 4, 116)(2, 114, 5, 117, 11, 123, 6, 118)(7, 119, 13, 125, 9, 121, 14, 126)(10, 122, 15, 127, 12, 124, 16, 128)(17, 129, 21, 133, 18, 130, 22, 134)(19, 131, 23, 135, 20, 132, 24, 136)(25, 137, 29, 141, 26, 138, 30, 142)(27, 139, 31, 143, 28, 140, 32, 144)(33, 145, 44, 156, 34, 146, 46, 158)(35, 147, 62, 174, 42, 154, 64, 176)(36, 148, 66, 178, 45, 157, 68, 180)(37, 149, 70, 182, 38, 150, 65, 177)(39, 151, 75, 187, 40, 152, 61, 173)(41, 153, 59, 171, 43, 155, 57, 169)(47, 159, 72, 184, 48, 160, 69, 181)(49, 161, 77, 189, 50, 162, 74, 186)(51, 163, 87, 199, 52, 164, 85, 197)(53, 165, 91, 203, 54, 166, 89, 201)(55, 167, 95, 207, 56, 168, 93, 205)(58, 170, 99, 211, 60, 172, 97, 209)(63, 175, 109, 221, 80, 192, 110, 222)(67, 179, 111, 223, 83, 195, 112, 224)(71, 183, 108, 220, 73, 185, 106, 218)(76, 188, 104, 216, 78, 190, 102, 214)(79, 191, 107, 219, 81, 193, 105, 217)(82, 194, 103, 215, 84, 196, 101, 213)(86, 198, 98, 210, 88, 200, 100, 212)(90, 202, 94, 206, 92, 204, 96, 208)
	L = (1, 114)(2, 113)(3, 119)(4, 121)(5, 122)(6, 124)(7, 115)(8, 123)(9, 116)(10, 117)(11, 120)(12, 118)(13, 129)(14, 130)(15, 131)(16, 132)(17, 125)(18, 126)(19, 127)(20, 128)(21, 137)(22, 138)(23, 139)(24, 140)(25, 133)(26, 134)(27, 135)(28, 136)(29, 145)(30, 146)(31, 169)(32, 171)(33, 141)(34, 142)(35, 173)(36, 177)(37, 181)(38, 184)(39, 186)(40, 189)(41, 174)(42, 187)(43, 176)(44, 178)(45, 182)(46, 180)(47, 197)(48, 199)(49, 201)(50, 203)(51, 205)(52, 207)(53, 209)(54, 211)(55, 213)(56, 215)(57, 143)(58, 217)(59, 144)(60, 219)(61, 147)(62, 153)(63, 214)(64, 155)(65, 148)(66, 156)(67, 218)(68, 158)(69, 149)(70, 157)(71, 212)(72, 150)(73, 210)(74, 151)(75, 154)(76, 208)(77, 152)(78, 206)(79, 221)(80, 216)(81, 222)(82, 223)(83, 220)(84, 224)(85, 159)(86, 202)(87, 160)(88, 204)(89, 161)(90, 198)(91, 162)(92, 200)(93, 163)(94, 190)(95, 164)(96, 188)(97, 165)(98, 185)(99, 166)(100, 183)(101, 167)(102, 175)(103, 168)(104, 192)(105, 170)(106, 179)(107, 172)(108, 195)(109, 191)(110, 193)(111, 194)(112, 196)
	local type(s) :: { ( 2, 28, 2, 28, 2, 28, 2, 28 ) }
Outer automorphisms :: reflexible
Dual of E13.1513
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 28 e = 112 f = 60
	degree seq :: [ 8^28 ]

E13.1515 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 4, 28})
Quotient :: loop
Aut^+ = (C28 x C2) : C2 (small group id <112, 13>)
Aut   = (C2 x C2 x C2 x D14) : C2 (small group id <224, 77>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, T1^4, (T2^-1 * T1^-1)^2, (T2 * T1^-1)^2, T2^28 ]
Map::
	R = (1, 113, 3, 115, 10, 122, 18, 130, 26, 138, 34, 146, 42, 154, 50, 162, 58, 170, 66, 178, 74, 186, 82, 194, 90, 202, 98, 210, 106, 218, 100, 212, 92, 204, 84, 196, 76, 188, 68, 180, 60, 172, 52, 164, 44, 156, 36, 148, 28, 140, 20, 132, 12, 124, 5, 117)(2, 114, 7, 119, 15, 127, 23, 135, 31, 143, 39, 151, 47, 159, 55, 167, 63, 175, 71, 183, 79, 191, 87, 199, 95, 207, 103, 215, 110, 222, 104, 216, 96, 208, 88, 200, 80, 192, 72, 184, 64, 176, 56, 168, 48, 160, 40, 152, 32, 144, 24, 136, 16, 128, 8, 120)(4, 116, 11, 123, 19, 131, 27, 139, 35, 147, 43, 155, 51, 163, 59, 171, 67, 179, 75, 187, 83, 195, 91, 203, 99, 211, 107, 219, 111, 223, 105, 217, 97, 209, 89, 201, 81, 193, 73, 185, 65, 177, 57, 169, 49, 161, 41, 153, 33, 145, 25, 137, 17, 129, 9, 121)(6, 118, 13, 125, 21, 133, 29, 141, 37, 149, 45, 157, 53, 165, 61, 173, 69, 181, 77, 189, 85, 197, 93, 205, 101, 213, 108, 220, 112, 224, 109, 221, 102, 214, 94, 206, 86, 198, 78, 190, 70, 182, 62, 174, 54, 166, 46, 158, 38, 150, 30, 142, 22, 134, 14, 126)
	L = (1, 114)(2, 118)(3, 121)(4, 113)(5, 123)(6, 116)(7, 117)(8, 115)(9, 125)(10, 128)(11, 126)(12, 127)(13, 120)(14, 119)(15, 134)(16, 133)(17, 122)(18, 137)(19, 124)(20, 139)(21, 129)(22, 131)(23, 132)(24, 130)(25, 141)(26, 144)(27, 142)(28, 143)(29, 136)(30, 135)(31, 150)(32, 149)(33, 138)(34, 153)(35, 140)(36, 155)(37, 145)(38, 147)(39, 148)(40, 146)(41, 157)(42, 160)(43, 158)(44, 159)(45, 152)(46, 151)(47, 166)(48, 165)(49, 154)(50, 169)(51, 156)(52, 171)(53, 161)(54, 163)(55, 164)(56, 162)(57, 173)(58, 176)(59, 174)(60, 175)(61, 168)(62, 167)(63, 182)(64, 181)(65, 170)(66, 185)(67, 172)(68, 187)(69, 177)(70, 179)(71, 180)(72, 178)(73, 189)(74, 192)(75, 190)(76, 191)(77, 184)(78, 183)(79, 198)(80, 197)(81, 186)(82, 201)(83, 188)(84, 203)(85, 193)(86, 195)(87, 196)(88, 194)(89, 205)(90, 208)(91, 206)(92, 207)(93, 200)(94, 199)(95, 214)(96, 213)(97, 202)(98, 217)(99, 204)(100, 219)(101, 209)(102, 211)(103, 212)(104, 210)(105, 220)(106, 222)(107, 221)(108, 216)(109, 215)(110, 224)(111, 218)(112, 223)
	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 E13.1511
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 4 e = 112 f = 84
	degree seq :: [ 56^4 ]

E13.1516 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 4, 28})
Quotient :: loop
Aut^+ = (C28 x C2) : C2 (small group id <112, 13>)
Aut   = (C2 x C2 x C2 x D14) : C2 (small group id <224, 77>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, (T1^-2 * T2)^2, (T2 * T1)^4, T1^28 ]
Map:: polytopal non-degenerate
	R = (1, 113, 3, 115)(2, 114, 6, 118)(4, 116, 9, 121)(5, 117, 12, 124)(7, 119, 16, 128)(8, 120, 17, 129)(10, 122, 15, 127)(11, 123, 21, 133)(13, 125, 23, 135)(14, 126, 24, 136)(18, 130, 26, 138)(19, 131, 27, 139)(20, 132, 30, 142)(22, 134, 32, 144)(25, 137, 34, 146)(28, 140, 33, 145)(29, 141, 38, 150)(31, 143, 40, 152)(35, 147, 42, 154)(36, 148, 43, 155)(37, 149, 46, 158)(39, 151, 48, 160)(41, 153, 50, 162)(44, 156, 49, 161)(45, 157, 54, 166)(47, 159, 56, 168)(51, 163, 58, 170)(52, 164, 59, 171)(53, 165, 62, 174)(55, 167, 64, 176)(57, 169, 66, 178)(60, 172, 65, 177)(61, 173, 70, 182)(63, 175, 72, 184)(67, 179, 74, 186)(68, 180, 75, 187)(69, 181, 78, 190)(71, 183, 80, 192)(73, 185, 82, 194)(76, 188, 81, 193)(77, 189, 86, 198)(79, 191, 88, 200)(83, 195, 90, 202)(84, 196, 91, 203)(85, 197, 94, 206)(87, 199, 96, 208)(89, 201, 98, 210)(92, 204, 97, 209)(93, 205, 102, 214)(95, 207, 104, 216)(99, 211, 106, 218)(100, 212, 107, 219)(101, 213, 108, 220)(103, 215, 110, 222)(105, 217, 111, 223)(109, 221, 112, 224)
	L = (1, 114)(2, 117)(3, 119)(4, 113)(5, 123)(6, 125)(7, 127)(8, 115)(9, 130)(10, 116)(11, 132)(12, 120)(13, 121)(14, 118)(15, 137)(16, 135)(17, 136)(18, 139)(19, 122)(20, 141)(21, 126)(22, 124)(23, 129)(24, 144)(25, 145)(26, 128)(27, 147)(28, 131)(29, 149)(30, 134)(31, 133)(32, 152)(33, 153)(34, 138)(35, 155)(36, 140)(37, 157)(38, 143)(39, 142)(40, 160)(41, 161)(42, 146)(43, 163)(44, 148)(45, 165)(46, 151)(47, 150)(48, 168)(49, 169)(50, 154)(51, 171)(52, 156)(53, 173)(54, 159)(55, 158)(56, 176)(57, 177)(58, 162)(59, 179)(60, 164)(61, 181)(62, 167)(63, 166)(64, 184)(65, 185)(66, 170)(67, 187)(68, 172)(69, 189)(70, 175)(71, 174)(72, 192)(73, 193)(74, 178)(75, 195)(76, 180)(77, 197)(78, 183)(79, 182)(80, 200)(81, 201)(82, 186)(83, 203)(84, 188)(85, 205)(86, 191)(87, 190)(88, 208)(89, 209)(90, 194)(91, 211)(92, 196)(93, 213)(94, 199)(95, 198)(96, 216)(97, 217)(98, 202)(99, 219)(100, 204)(101, 212)(102, 207)(103, 206)(104, 222)(105, 220)(106, 210)(107, 221)(108, 215)(109, 214)(110, 224)(111, 218)(112, 223)
	local type(s) :: { ( 4, 28, 4, 28 ) }
Outer automorphisms :: reflexible
Dual of E13.1512
Transitivity :: ET+ VT+ AT
Graph:: simple bipartite
	v = 56 e = 112 f = 32
	degree seq :: [ 4^56 ]

E13.1517 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 28})
Quotient :: dipole
Aut^+ = (C28 x C2) : C2 (small group id <112, 13>)
Aut   = (C2 x C2 x C2 x D14) : C2 (small group id <224, 77>)
|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)^28 ]
Map::
	R = (1, 113, 2, 114)(3, 115, 7, 119)(4, 116, 9, 121)(5, 117, 10, 122)(6, 118, 12, 124)(8, 120, 11, 123)(13, 125, 17, 129)(14, 126, 18, 130)(15, 127, 19, 131)(16, 128, 20, 132)(21, 133, 25, 137)(22, 134, 26, 138)(23, 135, 27, 139)(24, 136, 28, 140)(29, 141, 33, 145)(30, 142, 34, 146)(31, 143, 35, 147)(32, 144, 40, 152)(36, 148, 53, 165)(37, 149, 54, 166)(38, 150, 55, 167)(39, 151, 56, 168)(41, 153, 57, 169)(42, 154, 58, 170)(43, 155, 59, 171)(44, 156, 60, 172)(45, 157, 61, 173)(46, 158, 62, 174)(47, 159, 63, 175)(48, 160, 64, 176)(49, 161, 65, 177)(50, 162, 66, 178)(51, 163, 67, 179)(52, 164, 68, 180)(69, 181, 73, 185)(70, 182, 74, 186)(71, 183, 75, 187)(72, 184, 76, 188)(77, 189, 93, 205)(78, 190, 94, 206)(79, 191, 95, 207)(80, 192, 96, 208)(81, 193, 97, 209)(82, 194, 98, 210)(83, 195, 99, 211)(84, 196, 100, 212)(85, 197, 101, 213)(86, 198, 102, 214)(87, 199, 103, 215)(88, 200, 104, 216)(89, 201, 105, 217)(90, 202, 106, 218)(91, 203, 107, 219)(92, 204, 108, 220)(109, 221, 111, 223)(110, 222, 112, 224)(225, 337, 227, 339, 232, 344, 228, 340)(226, 338, 229, 341, 235, 347, 230, 342)(231, 343, 237, 349, 233, 345, 238, 350)(234, 346, 239, 351, 236, 348, 240, 352)(241, 353, 245, 357, 242, 354, 246, 358)(243, 355, 247, 359, 244, 356, 248, 360)(249, 361, 253, 365, 250, 362, 254, 366)(251, 363, 255, 367, 252, 364, 256, 368)(257, 369, 277, 389, 258, 370, 278, 390)(259, 371, 279, 391, 264, 376, 280, 392)(260, 372, 281, 393, 261, 373, 282, 394)(262, 374, 283, 395, 263, 375, 284, 396)(265, 377, 285, 397, 266, 378, 286, 398)(267, 379, 287, 399, 268, 380, 288, 400)(269, 381, 289, 401, 270, 382, 290, 402)(271, 383, 291, 403, 272, 384, 292, 404)(273, 385, 293, 405, 274, 386, 294, 406)(275, 387, 295, 407, 276, 388, 296, 408)(297, 409, 317, 429, 298, 410, 318, 430)(299, 411, 319, 431, 300, 412, 320, 432)(301, 413, 321, 433, 302, 414, 322, 434)(303, 415, 323, 435, 304, 416, 324, 436)(305, 417, 325, 437, 306, 418, 326, 438)(307, 419, 327, 439, 308, 420, 328, 440)(309, 421, 329, 441, 310, 422, 330, 442)(311, 423, 331, 443, 312, 424, 332, 444)(313, 425, 333, 445, 314, 426, 334, 446)(315, 427, 335, 447, 316, 428, 336, 448)
	L = (1, 226)(2, 225)(3, 231)(4, 233)(5, 234)(6, 236)(7, 227)(8, 235)(9, 228)(10, 229)(11, 232)(12, 230)(13, 241)(14, 242)(15, 243)(16, 244)(17, 237)(18, 238)(19, 239)(20, 240)(21, 249)(22, 250)(23, 251)(24, 252)(25, 245)(26, 246)(27, 247)(28, 248)(29, 257)(30, 258)(31, 259)(32, 264)(33, 253)(34, 254)(35, 255)(36, 277)(37, 278)(38, 279)(39, 280)(40, 256)(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, 260)(54, 261)(55, 262)(56, 263)(57, 265)(58, 266)(59, 267)(60, 268)(61, 269)(62, 270)(63, 271)(64, 272)(65, 273)(66, 274)(67, 275)(68, 276)(69, 297)(70, 298)(71, 299)(72, 300)(73, 293)(74, 294)(75, 295)(76, 296)(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, 301)(94, 302)(95, 303)(96, 304)(97, 305)(98, 306)(99, 307)(100, 308)(101, 309)(102, 310)(103, 311)(104, 312)(105, 313)(106, 314)(107, 315)(108, 316)(109, 335)(110, 336)(111, 333)(112, 334)(113, 337)(114, 338)(115, 339)(116, 340)(117, 341)(118, 342)(119, 343)(120, 344)(121, 345)(122, 346)(123, 347)(124, 348)(125, 349)(126, 350)(127, 351)(128, 352)(129, 353)(130, 354)(131, 355)(132, 356)(133, 357)(134, 358)(135, 359)(136, 360)(137, 361)(138, 362)(139, 363)(140, 364)(141, 365)(142, 366)(143, 367)(144, 368)(145, 369)(146, 370)(147, 371)(148, 372)(149, 373)(150, 374)(151, 375)(152, 376)(153, 377)(154, 378)(155, 379)(156, 380)(157, 381)(158, 382)(159, 383)(160, 384)(161, 385)(162, 386)(163, 387)(164, 388)(165, 389)(166, 390)(167, 391)(168, 392)(169, 393)(170, 394)(171, 395)(172, 396)(173, 397)(174, 398)(175, 399)(176, 400)(177, 401)(178, 402)(179, 403)(180, 404)(181, 405)(182, 406)(183, 407)(184, 408)(185, 409)(186, 410)(187, 411)(188, 412)(189, 413)(190, 414)(191, 415)(192, 416)(193, 417)(194, 418)(195, 419)(196, 420)(197, 421)(198, 422)(199, 423)(200, 424)(201, 425)(202, 426)(203, 427)(204, 428)(205, 429)(206, 430)(207, 431)(208, 432)(209, 433)(210, 434)(211, 435)(212, 436)(213, 437)(214, 438)(215, 439)(216, 440)(217, 441)(218, 442)(219, 443)(220, 444)(221, 445)(222, 446)(223, 447)(224, 448)
	local type(s) :: { ( 2, 56, 2, 56 ), ( 2, 56, 2, 56, 2, 56, 2, 56 ) }
Outer automorphisms :: reflexible
Dual of E13.1520
Graph:: bipartite
	v = 84 e = 224 f = 116
	degree seq :: [ 4^56, 8^28 ]

E13.1518 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 28})
Quotient :: dipole
Aut^+ = (C28 x C2) : C2 (small group id <112, 13>)
Aut   = (C2 x C2 x C2 x D14) : C2 (small group id <224, 77>)
|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, Y2^28 ]
Map::
	R = (1, 113, 2, 114, 6, 118, 4, 116)(3, 115, 9, 121, 13, 125, 8, 120)(5, 117, 11, 123, 14, 126, 7, 119)(10, 122, 16, 128, 21, 133, 17, 129)(12, 124, 15, 127, 22, 134, 19, 131)(18, 130, 25, 137, 29, 141, 24, 136)(20, 132, 27, 139, 30, 142, 23, 135)(26, 138, 32, 144, 37, 149, 33, 145)(28, 140, 31, 143, 38, 150, 35, 147)(34, 146, 41, 153, 45, 157, 40, 152)(36, 148, 43, 155, 46, 158, 39, 151)(42, 154, 48, 160, 53, 165, 49, 161)(44, 156, 47, 159, 54, 166, 51, 163)(50, 162, 57, 169, 61, 173, 56, 168)(52, 164, 59, 171, 62, 174, 55, 167)(58, 170, 64, 176, 69, 181, 65, 177)(60, 172, 63, 175, 70, 182, 67, 179)(66, 178, 73, 185, 77, 189, 72, 184)(68, 180, 75, 187, 78, 190, 71, 183)(74, 186, 80, 192, 85, 197, 81, 193)(76, 188, 79, 191, 86, 198, 83, 195)(82, 194, 89, 201, 93, 205, 88, 200)(84, 196, 91, 203, 94, 206, 87, 199)(90, 202, 96, 208, 101, 213, 97, 209)(92, 204, 95, 207, 102, 214, 99, 211)(98, 210, 105, 217, 108, 220, 104, 216)(100, 212, 107, 219, 109, 221, 103, 215)(106, 218, 110, 222, 112, 224, 111, 223)(225, 337, 227, 339, 234, 346, 242, 354, 250, 362, 258, 370, 266, 378, 274, 386, 282, 394, 290, 402, 298, 410, 306, 418, 314, 426, 322, 434, 330, 442, 324, 436, 316, 428, 308, 420, 300, 412, 292, 404, 284, 396, 276, 388, 268, 380, 260, 372, 252, 364, 244, 356, 236, 348, 229, 341)(226, 338, 231, 343, 239, 351, 247, 359, 255, 367, 263, 375, 271, 383, 279, 391, 287, 399, 295, 407, 303, 415, 311, 423, 319, 431, 327, 439, 334, 446, 328, 440, 320, 432, 312, 424, 304, 416, 296, 408, 288, 400, 280, 392, 272, 384, 264, 376, 256, 368, 248, 360, 240, 352, 232, 344)(228, 340, 235, 347, 243, 355, 251, 363, 259, 371, 267, 379, 275, 387, 283, 395, 291, 403, 299, 411, 307, 419, 315, 427, 323, 435, 331, 443, 335, 447, 329, 441, 321, 433, 313, 425, 305, 417, 297, 409, 289, 401, 281, 393, 273, 385, 265, 377, 257, 369, 249, 361, 241, 353, 233, 345)(230, 342, 237, 349, 245, 357, 253, 365, 261, 373, 269, 381, 277, 389, 285, 397, 293, 405, 301, 413, 309, 421, 317, 429, 325, 437, 332, 444, 336, 448, 333, 445, 326, 438, 318, 430, 310, 422, 302, 414, 294, 406, 286, 398, 278, 390, 270, 382, 262, 374, 254, 366, 246, 358, 238, 350)
	L = (1, 227)(2, 231)(3, 234)(4, 235)(5, 225)(6, 237)(7, 239)(8, 226)(9, 228)(10, 242)(11, 243)(12, 229)(13, 245)(14, 230)(15, 247)(16, 232)(17, 233)(18, 250)(19, 251)(20, 236)(21, 253)(22, 238)(23, 255)(24, 240)(25, 241)(26, 258)(27, 259)(28, 244)(29, 261)(30, 246)(31, 263)(32, 248)(33, 249)(34, 266)(35, 267)(36, 252)(37, 269)(38, 254)(39, 271)(40, 256)(41, 257)(42, 274)(43, 275)(44, 260)(45, 277)(46, 262)(47, 279)(48, 264)(49, 265)(50, 282)(51, 283)(52, 268)(53, 285)(54, 270)(55, 287)(56, 272)(57, 273)(58, 290)(59, 291)(60, 276)(61, 293)(62, 278)(63, 295)(64, 280)(65, 281)(66, 298)(67, 299)(68, 284)(69, 301)(70, 286)(71, 303)(72, 288)(73, 289)(74, 306)(75, 307)(76, 292)(77, 309)(78, 294)(79, 311)(80, 296)(81, 297)(82, 314)(83, 315)(84, 300)(85, 317)(86, 302)(87, 319)(88, 304)(89, 305)(90, 322)(91, 323)(92, 308)(93, 325)(94, 310)(95, 327)(96, 312)(97, 313)(98, 330)(99, 331)(100, 316)(101, 332)(102, 318)(103, 334)(104, 320)(105, 321)(106, 324)(107, 335)(108, 336)(109, 326)(110, 328)(111, 329)(112, 333)(113, 337)(114, 338)(115, 339)(116, 340)(117, 341)(118, 342)(119, 343)(120, 344)(121, 345)(122, 346)(123, 347)(124, 348)(125, 349)(126, 350)(127, 351)(128, 352)(129, 353)(130, 354)(131, 355)(132, 356)(133, 357)(134, 358)(135, 359)(136, 360)(137, 361)(138, 362)(139, 363)(140, 364)(141, 365)(142, 366)(143, 367)(144, 368)(145, 369)(146, 370)(147, 371)(148, 372)(149, 373)(150, 374)(151, 375)(152, 376)(153, 377)(154, 378)(155, 379)(156, 380)(157, 381)(158, 382)(159, 383)(160, 384)(161, 385)(162, 386)(163, 387)(164, 388)(165, 389)(166, 390)(167, 391)(168, 392)(169, 393)(170, 394)(171, 395)(172, 396)(173, 397)(174, 398)(175, 399)(176, 400)(177, 401)(178, 402)(179, 403)(180, 404)(181, 405)(182, 406)(183, 407)(184, 408)(185, 409)(186, 410)(187, 411)(188, 412)(189, 413)(190, 414)(191, 415)(192, 416)(193, 417)(194, 418)(195, 419)(196, 420)(197, 421)(198, 422)(199, 423)(200, 424)(201, 425)(202, 426)(203, 427)(204, 428)(205, 429)(206, 430)(207, 431)(208, 432)(209, 433)(210, 434)(211, 435)(212, 436)(213, 437)(214, 438)(215, 439)(216, 440)(217, 441)(218, 442)(219, 443)(220, 444)(221, 445)(222, 446)(223, 447)(224, 448)
	local type(s) :: { ( 2, 4, 2, 4, 2, 4, 2, 4 ), ( 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 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 E13.1519
Graph:: bipartite
	v = 32 e = 224 f = 168
	degree seq :: [ 8^28, 56^4 ]

E13.1519 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 28})
Quotient :: dipole
Aut^+ = (C28 x C2) : C2 (small group id <112, 13>)
Aut   = (C2 x C2 x C2 x D14) : C2 (small group id <224, 77>)
|r| :: 2
Presentation :: [ Y1, Y2^2, R^2, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, (Y3^-2 * Y2)^2, Y3^-1 * Y2 * Y3^-1 * Y2 * Y3 * Y2 * Y3 * Y2, Y3^12 * Y2 * Y3^-16 * Y2, (Y3^-1 * Y1^-1)^28 ]
Map:: polytopal
	R = (1, 113)(2, 114)(3, 115)(4, 116)(5, 117)(6, 118)(7, 119)(8, 120)(9, 121)(10, 122)(11, 123)(12, 124)(13, 125)(14, 126)(15, 127)(16, 128)(17, 129)(18, 130)(19, 131)(20, 132)(21, 133)(22, 134)(23, 135)(24, 136)(25, 137)(26, 138)(27, 139)(28, 140)(29, 141)(30, 142)(31, 143)(32, 144)(33, 145)(34, 146)(35, 147)(36, 148)(37, 149)(38, 150)(39, 151)(40, 152)(41, 153)(42, 154)(43, 155)(44, 156)(45, 157)(46, 158)(47, 159)(48, 160)(49, 161)(50, 162)(51, 163)(52, 164)(53, 165)(54, 166)(55, 167)(56, 168)(57, 169)(58, 170)(59, 171)(60, 172)(61, 173)(62, 174)(63, 175)(64, 176)(65, 177)(66, 178)(67, 179)(68, 180)(69, 181)(70, 182)(71, 183)(72, 184)(73, 185)(74, 186)(75, 187)(76, 188)(77, 189)(78, 190)(79, 191)(80, 192)(81, 193)(82, 194)(83, 195)(84, 196)(85, 197)(86, 198)(87, 199)(88, 200)(89, 201)(90, 202)(91, 203)(92, 204)(93, 205)(94, 206)(95, 207)(96, 208)(97, 209)(98, 210)(99, 211)(100, 212)(101, 213)(102, 214)(103, 215)(104, 216)(105, 217)(106, 218)(107, 219)(108, 220)(109, 221)(110, 222)(111, 223)(112, 224)(225, 337, 226, 338)(227, 339, 231, 343)(228, 340, 233, 345)(229, 341, 235, 347)(230, 342, 237, 349)(232, 344, 238, 350)(234, 346, 236, 348)(239, 351, 244, 356)(240, 352, 247, 359)(241, 353, 249, 361)(242, 354, 245, 357)(243, 355, 251, 363)(246, 358, 253, 365)(248, 360, 255, 367)(250, 362, 256, 368)(252, 364, 254, 366)(257, 369, 263, 375)(258, 370, 265, 377)(259, 371, 261, 373)(260, 372, 267, 379)(262, 374, 269, 381)(264, 376, 271, 383)(266, 378, 272, 384)(268, 380, 270, 382)(273, 385, 279, 391)(274, 386, 281, 393)(275, 387, 277, 389)(276, 388, 283, 395)(278, 390, 285, 397)(280, 392, 287, 399)(282, 394, 288, 400)(284, 396, 286, 398)(289, 401, 295, 407)(290, 402, 297, 409)(291, 403, 293, 405)(292, 404, 299, 411)(294, 406, 301, 413)(296, 408, 303, 415)(298, 410, 304, 416)(300, 412, 302, 414)(305, 417, 311, 423)(306, 418, 313, 425)(307, 419, 309, 421)(308, 420, 315, 427)(310, 422, 317, 429)(312, 424, 319, 431)(314, 426, 320, 432)(316, 428, 318, 430)(321, 433, 327, 439)(322, 434, 329, 441)(323, 435, 325, 437)(324, 436, 331, 443)(326, 438, 332, 444)(328, 440, 334, 446)(330, 442, 333, 445)(335, 447, 336, 448)
	L = (1, 227)(2, 229)(3, 232)(4, 225)(5, 236)(6, 226)(7, 239)(8, 241)(9, 242)(10, 228)(11, 244)(12, 246)(13, 247)(14, 230)(15, 233)(16, 231)(17, 250)(18, 251)(19, 234)(20, 237)(21, 235)(22, 254)(23, 255)(24, 238)(25, 240)(26, 258)(27, 259)(28, 243)(29, 245)(30, 262)(31, 263)(32, 248)(33, 249)(34, 266)(35, 267)(36, 252)(37, 253)(38, 270)(39, 271)(40, 256)(41, 257)(42, 274)(43, 275)(44, 260)(45, 261)(46, 278)(47, 279)(48, 264)(49, 265)(50, 282)(51, 283)(52, 268)(53, 269)(54, 286)(55, 287)(56, 272)(57, 273)(58, 290)(59, 291)(60, 276)(61, 277)(62, 294)(63, 295)(64, 280)(65, 281)(66, 298)(67, 299)(68, 284)(69, 285)(70, 302)(71, 303)(72, 288)(73, 289)(74, 306)(75, 307)(76, 292)(77, 293)(78, 310)(79, 311)(80, 296)(81, 297)(82, 314)(83, 315)(84, 300)(85, 301)(86, 318)(87, 319)(88, 304)(89, 305)(90, 322)(91, 323)(92, 308)(93, 309)(94, 326)(95, 327)(96, 312)(97, 313)(98, 330)(99, 331)(100, 316)(101, 317)(102, 333)(103, 334)(104, 320)(105, 321)(106, 324)(107, 335)(108, 325)(109, 328)(110, 336)(111, 329)(112, 332)(113, 337)(114, 338)(115, 339)(116, 340)(117, 341)(118, 342)(119, 343)(120, 344)(121, 345)(122, 346)(123, 347)(124, 348)(125, 349)(126, 350)(127, 351)(128, 352)(129, 353)(130, 354)(131, 355)(132, 356)(133, 357)(134, 358)(135, 359)(136, 360)(137, 361)(138, 362)(139, 363)(140, 364)(141, 365)(142, 366)(143, 367)(144, 368)(145, 369)(146, 370)(147, 371)(148, 372)(149, 373)(150, 374)(151, 375)(152, 376)(153, 377)(154, 378)(155, 379)(156, 380)(157, 381)(158, 382)(159, 383)(160, 384)(161, 385)(162, 386)(163, 387)(164, 388)(165, 389)(166, 390)(167, 391)(168, 392)(169, 393)(170, 394)(171, 395)(172, 396)(173, 397)(174, 398)(175, 399)(176, 400)(177, 401)(178, 402)(179, 403)(180, 404)(181, 405)(182, 406)(183, 407)(184, 408)(185, 409)(186, 410)(187, 411)(188, 412)(189, 413)(190, 414)(191, 415)(192, 416)(193, 417)(194, 418)(195, 419)(196, 420)(197, 421)(198, 422)(199, 423)(200, 424)(201, 425)(202, 426)(203, 427)(204, 428)(205, 429)(206, 430)(207, 431)(208, 432)(209, 433)(210, 434)(211, 435)(212, 436)(213, 437)(214, 438)(215, 439)(216, 440)(217, 441)(218, 442)(219, 443)(220, 444)(221, 445)(222, 446)(223, 447)(224, 448)
	local type(s) :: { ( 8, 56 ), ( 8, 56, 8, 56 ) }
Outer automorphisms :: reflexible
Dual of E13.1518
Graph:: simple bipartite
	v = 168 e = 224 f = 32
	degree seq :: [ 2^112, 4^56 ]

E13.1520 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 28})
Quotient :: dipole
Aut^+ = (C28 x C2) : C2 (small group id <112, 13>)
Aut   = (C2 x C2 x C2 x D14) : C2 (small group id <224, 77>)
|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, Y1^28 ]
Map:: polytopal
	R = (1, 113, 2, 114, 5, 117, 11, 123, 20, 132, 29, 141, 37, 149, 45, 157, 53, 165, 61, 173, 69, 181, 77, 189, 85, 197, 93, 205, 101, 213, 100, 212, 92, 204, 84, 196, 76, 188, 68, 180, 60, 172, 52, 164, 44, 156, 36, 148, 28, 140, 19, 131, 10, 122, 4, 116)(3, 115, 7, 119, 15, 127, 25, 137, 33, 145, 41, 153, 49, 161, 57, 169, 65, 177, 73, 185, 81, 193, 89, 201, 97, 209, 105, 217, 108, 220, 103, 215, 94, 206, 87, 199, 78, 190, 71, 183, 62, 174, 55, 167, 46, 158, 39, 151, 30, 142, 22, 134, 12, 124, 8, 120)(6, 118, 13, 125, 9, 121, 18, 130, 27, 139, 35, 147, 43, 155, 51, 163, 59, 171, 67, 179, 75, 187, 83, 195, 91, 203, 99, 211, 107, 219, 109, 221, 102, 214, 95, 207, 86, 198, 79, 191, 70, 182, 63, 175, 54, 166, 47, 159, 38, 150, 31, 143, 21, 133, 14, 126)(16, 128, 23, 135, 17, 129, 24, 136, 32, 144, 40, 152, 48, 160, 56, 168, 64, 176, 72, 184, 80, 192, 88, 200, 96, 208, 104, 216, 110, 222, 112, 224, 111, 223, 106, 218, 98, 210, 90, 202, 82, 194, 74, 186, 66, 178, 58, 170, 50, 162, 42, 154, 34, 146, 26, 138)(225, 337)(226, 338)(227, 339)(228, 340)(229, 341)(230, 342)(231, 343)(232, 344)(233, 345)(234, 346)(235, 347)(236, 348)(237, 349)(238, 350)(239, 351)(240, 352)(241, 353)(242, 354)(243, 355)(244, 356)(245, 357)(246, 358)(247, 359)(248, 360)(249, 361)(250, 362)(251, 363)(252, 364)(253, 365)(254, 366)(255, 367)(256, 368)(257, 369)(258, 370)(259, 371)(260, 372)(261, 373)(262, 374)(263, 375)(264, 376)(265, 377)(266, 378)(267, 379)(268, 380)(269, 381)(270, 382)(271, 383)(272, 384)(273, 385)(274, 386)(275, 387)(276, 388)(277, 389)(278, 390)(279, 391)(280, 392)(281, 393)(282, 394)(283, 395)(284, 396)(285, 397)(286, 398)(287, 399)(288, 400)(289, 401)(290, 402)(291, 403)(292, 404)(293, 405)(294, 406)(295, 407)(296, 408)(297, 409)(298, 410)(299, 411)(300, 412)(301, 413)(302, 414)(303, 415)(304, 416)(305, 417)(306, 418)(307, 419)(308, 420)(309, 421)(310, 422)(311, 423)(312, 424)(313, 425)(314, 426)(315, 427)(316, 428)(317, 429)(318, 430)(319, 431)(320, 432)(321, 433)(322, 434)(323, 435)(324, 436)(325, 437)(326, 438)(327, 439)(328, 440)(329, 441)(330, 442)(331, 443)(332, 444)(333, 445)(334, 446)(335, 447)(336, 448)
	L = (1, 227)(2, 230)(3, 225)(4, 233)(5, 236)(6, 226)(7, 240)(8, 241)(9, 228)(10, 239)(11, 245)(12, 229)(13, 247)(14, 248)(15, 234)(16, 231)(17, 232)(18, 250)(19, 251)(20, 254)(21, 235)(22, 256)(23, 237)(24, 238)(25, 258)(26, 242)(27, 243)(28, 257)(29, 262)(30, 244)(31, 264)(32, 246)(33, 252)(34, 249)(35, 266)(36, 267)(37, 270)(38, 253)(39, 272)(40, 255)(41, 274)(42, 259)(43, 260)(44, 273)(45, 278)(46, 261)(47, 280)(48, 263)(49, 268)(50, 265)(51, 282)(52, 283)(53, 286)(54, 269)(55, 288)(56, 271)(57, 290)(58, 275)(59, 276)(60, 289)(61, 294)(62, 277)(63, 296)(64, 279)(65, 284)(66, 281)(67, 298)(68, 299)(69, 302)(70, 285)(71, 304)(72, 287)(73, 306)(74, 291)(75, 292)(76, 305)(77, 310)(78, 293)(79, 312)(80, 295)(81, 300)(82, 297)(83, 314)(84, 315)(85, 318)(86, 301)(87, 320)(88, 303)(89, 322)(90, 307)(91, 308)(92, 321)(93, 326)(94, 309)(95, 328)(96, 311)(97, 316)(98, 313)(99, 330)(100, 331)(101, 332)(102, 317)(103, 334)(104, 319)(105, 335)(106, 323)(107, 324)(108, 325)(109, 336)(110, 327)(111, 329)(112, 333)(113, 337)(114, 338)(115, 339)(116, 340)(117, 341)(118, 342)(119, 343)(120, 344)(121, 345)(122, 346)(123, 347)(124, 348)(125, 349)(126, 350)(127, 351)(128, 352)(129, 353)(130, 354)(131, 355)(132, 356)(133, 357)(134, 358)(135, 359)(136, 360)(137, 361)(138, 362)(139, 363)(140, 364)(141, 365)(142, 366)(143, 367)(144, 368)(145, 369)(146, 370)(147, 371)(148, 372)(149, 373)(150, 374)(151, 375)(152, 376)(153, 377)(154, 378)(155, 379)(156, 380)(157, 381)(158, 382)(159, 383)(160, 384)(161, 385)(162, 386)(163, 387)(164, 388)(165, 389)(166, 390)(167, 391)(168, 392)(169, 393)(170, 394)(171, 395)(172, 396)(173, 397)(174, 398)(175, 399)(176, 400)(177, 401)(178, 402)(179, 403)(180, 404)(181, 405)(182, 406)(183, 407)(184, 408)(185, 409)(186, 410)(187, 411)(188, 412)(189, 413)(190, 414)(191, 415)(192, 416)(193, 417)(194, 418)(195, 419)(196, 420)(197, 421)(198, 422)(199, 423)(200, 424)(201, 425)(202, 426)(203, 427)(204, 428)(205, 429)(206, 430)(207, 431)(208, 432)(209, 433)(210, 434)(211, 435)(212, 436)(213, 437)(214, 438)(215, 439)(216, 440)(217, 441)(218, 442)(219, 443)(220, 444)(221, 445)(222, 446)(223, 447)(224, 448)
	local type(s) :: { ( 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 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 E13.1517
Graph:: simple bipartite
	v = 116 e = 224 f = 84
	degree seq :: [ 2^112, 56^4 ]

E13.1521 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 28})
Quotient :: dipole
Aut^+ = (C28 x C2) : C2 (small group id <112, 13>)
Aut   = (C2 x C2 x C2 x D14) : C2 (small group id <224, 77>)
|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, Y2^28 ]
Map::
	R = (1, 113, 2, 114)(3, 115, 7, 119)(4, 116, 9, 121)(5, 117, 11, 123)(6, 118, 13, 125)(8, 120, 14, 126)(10, 122, 12, 124)(15, 127, 20, 132)(16, 128, 23, 135)(17, 129, 25, 137)(18, 130, 21, 133)(19, 131, 27, 139)(22, 134, 29, 141)(24, 136, 31, 143)(26, 138, 32, 144)(28, 140, 30, 142)(33, 145, 39, 151)(34, 146, 41, 153)(35, 147, 37, 149)(36, 148, 43, 155)(38, 150, 45, 157)(40, 152, 47, 159)(42, 154, 48, 160)(44, 156, 46, 158)(49, 161, 55, 167)(50, 162, 57, 169)(51, 163, 53, 165)(52, 164, 59, 171)(54, 166, 61, 173)(56, 168, 63, 175)(58, 170, 64, 176)(60, 172, 62, 174)(65, 177, 71, 183)(66, 178, 73, 185)(67, 179, 69, 181)(68, 180, 75, 187)(70, 182, 77, 189)(72, 184, 79, 191)(74, 186, 80, 192)(76, 188, 78, 190)(81, 193, 87, 199)(82, 194, 89, 201)(83, 195, 85, 197)(84, 196, 91, 203)(86, 198, 93, 205)(88, 200, 95, 207)(90, 202, 96, 208)(92, 204, 94, 206)(97, 209, 103, 215)(98, 210, 105, 217)(99, 211, 101, 213)(100, 212, 107, 219)(102, 214, 108, 220)(104, 216, 110, 222)(106, 218, 109, 221)(111, 223, 112, 224)(225, 337, 227, 339, 232, 344, 241, 353, 250, 362, 258, 370, 266, 378, 274, 386, 282, 394, 290, 402, 298, 410, 306, 418, 314, 426, 322, 434, 330, 442, 324, 436, 316, 428, 308, 420, 300, 412, 292, 404, 284, 396, 276, 388, 268, 380, 260, 372, 252, 364, 243, 355, 234, 346, 228, 340)(226, 338, 229, 341, 236, 348, 246, 358, 254, 366, 262, 374, 270, 382, 278, 390, 286, 398, 294, 406, 302, 414, 310, 422, 318, 430, 326, 438, 333, 445, 328, 440, 320, 432, 312, 424, 304, 416, 296, 408, 288, 400, 280, 392, 272, 384, 264, 376, 256, 368, 248, 360, 238, 350, 230, 342)(231, 343, 239, 351, 233, 345, 242, 354, 251, 363, 259, 371, 267, 379, 275, 387, 283, 395, 291, 403, 299, 411, 307, 419, 315, 427, 323, 435, 331, 443, 335, 447, 329, 441, 321, 433, 313, 425, 305, 417, 297, 409, 289, 401, 281, 393, 273, 385, 265, 377, 257, 369, 249, 361, 240, 352)(235, 347, 244, 356, 237, 349, 247, 359, 255, 367, 263, 375, 271, 383, 279, 391, 287, 399, 295, 407, 303, 415, 311, 423, 319, 431, 327, 439, 334, 446, 336, 448, 332, 444, 325, 437, 317, 429, 309, 421, 301, 413, 293, 405, 285, 397, 277, 389, 269, 381, 261, 373, 253, 365, 245, 357)
	L = (1, 226)(2, 225)(3, 231)(4, 233)(5, 235)(6, 237)(7, 227)(8, 238)(9, 228)(10, 236)(11, 229)(12, 234)(13, 230)(14, 232)(15, 244)(16, 247)(17, 249)(18, 245)(19, 251)(20, 239)(21, 242)(22, 253)(23, 240)(24, 255)(25, 241)(26, 256)(27, 243)(28, 254)(29, 246)(30, 252)(31, 248)(32, 250)(33, 263)(34, 265)(35, 261)(36, 267)(37, 259)(38, 269)(39, 257)(40, 271)(41, 258)(42, 272)(43, 260)(44, 270)(45, 262)(46, 268)(47, 264)(48, 266)(49, 279)(50, 281)(51, 277)(52, 283)(53, 275)(54, 285)(55, 273)(56, 287)(57, 274)(58, 288)(59, 276)(60, 286)(61, 278)(62, 284)(63, 280)(64, 282)(65, 295)(66, 297)(67, 293)(68, 299)(69, 291)(70, 301)(71, 289)(72, 303)(73, 290)(74, 304)(75, 292)(76, 302)(77, 294)(78, 300)(79, 296)(80, 298)(81, 311)(82, 313)(83, 309)(84, 315)(85, 307)(86, 317)(87, 305)(88, 319)(89, 306)(90, 320)(91, 308)(92, 318)(93, 310)(94, 316)(95, 312)(96, 314)(97, 327)(98, 329)(99, 325)(100, 331)(101, 323)(102, 332)(103, 321)(104, 334)(105, 322)(106, 333)(107, 324)(108, 326)(109, 330)(110, 328)(111, 336)(112, 335)(113, 337)(114, 338)(115, 339)(116, 340)(117, 341)(118, 342)(119, 343)(120, 344)(121, 345)(122, 346)(123, 347)(124, 348)(125, 349)(126, 350)(127, 351)(128, 352)(129, 353)(130, 354)(131, 355)(132, 356)(133, 357)(134, 358)(135, 359)(136, 360)(137, 361)(138, 362)(139, 363)(140, 364)(141, 365)(142, 366)(143, 367)(144, 368)(145, 369)(146, 370)(147, 371)(148, 372)(149, 373)(150, 374)(151, 375)(152, 376)(153, 377)(154, 378)(155, 379)(156, 380)(157, 381)(158, 382)(159, 383)(160, 384)(161, 385)(162, 386)(163, 387)(164, 388)(165, 389)(166, 390)(167, 391)(168, 392)(169, 393)(170, 394)(171, 395)(172, 396)(173, 397)(174, 398)(175, 399)(176, 400)(177, 401)(178, 402)(179, 403)(180, 404)(181, 405)(182, 406)(183, 407)(184, 408)(185, 409)(186, 410)(187, 411)(188, 412)(189, 413)(190, 414)(191, 415)(192, 416)(193, 417)(194, 418)(195, 419)(196, 420)(197, 421)(198, 422)(199, 423)(200, 424)(201, 425)(202, 426)(203, 427)(204, 428)(205, 429)(206, 430)(207, 431)(208, 432)(209, 433)(210, 434)(211, 435)(212, 436)(213, 437)(214, 438)(215, 439)(216, 440)(217, 441)(218, 442)(219, 443)(220, 444)(221, 445)(222, 446)(223, 447)(224, 448)
	local type(s) :: { ( 2, 8, 2, 8 ), ( 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 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 E13.1522
Graph:: bipartite
	v = 60 e = 224 f = 140
	degree seq :: [ 4^56, 56^4 ]

E13.1522 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 28})
Quotient :: dipole
Aut^+ = (C28 x C2) : C2 (small group id <112, 13>)
Aut   = (C2 x C2 x C2 x D14) : C2 (small group id <224, 77>)
|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)^28 ]
Map:: polytopal
	R = (1, 113, 2, 114, 6, 118, 4, 116)(3, 115, 9, 121, 13, 125, 8, 120)(5, 117, 11, 123, 14, 126, 7, 119)(10, 122, 16, 128, 21, 133, 17, 129)(12, 124, 15, 127, 22, 134, 19, 131)(18, 130, 25, 137, 29, 141, 24, 136)(20, 132, 27, 139, 30, 142, 23, 135)(26, 138, 32, 144, 37, 149, 33, 145)(28, 140, 31, 143, 38, 150, 35, 147)(34, 146, 41, 153, 45, 157, 40, 152)(36, 148, 43, 155, 46, 158, 39, 151)(42, 154, 48, 160, 53, 165, 49, 161)(44, 156, 47, 159, 54, 166, 51, 163)(50, 162, 57, 169, 61, 173, 56, 168)(52, 164, 59, 171, 62, 174, 55, 167)(58, 170, 64, 176, 69, 181, 65, 177)(60, 172, 63, 175, 70, 182, 67, 179)(66, 178, 73, 185, 77, 189, 72, 184)(68, 180, 75, 187, 78, 190, 71, 183)(74, 186, 80, 192, 85, 197, 81, 193)(76, 188, 79, 191, 86, 198, 83, 195)(82, 194, 89, 201, 93, 205, 88, 200)(84, 196, 91, 203, 94, 206, 87, 199)(90, 202, 96, 208, 101, 213, 97, 209)(92, 204, 95, 207, 102, 214, 99, 211)(98, 210, 105, 217, 108, 220, 104, 216)(100, 212, 107, 219, 109, 221, 103, 215)(106, 218, 110, 222, 112, 224, 111, 223)(225, 337)(226, 338)(227, 339)(228, 340)(229, 341)(230, 342)(231, 343)(232, 344)(233, 345)(234, 346)(235, 347)(236, 348)(237, 349)(238, 350)(239, 351)(240, 352)(241, 353)(242, 354)(243, 355)(244, 356)(245, 357)(246, 358)(247, 359)(248, 360)(249, 361)(250, 362)(251, 363)(252, 364)(253, 365)(254, 366)(255, 367)(256, 368)(257, 369)(258, 370)(259, 371)(260, 372)(261, 373)(262, 374)(263, 375)(264, 376)(265, 377)(266, 378)(267, 379)(268, 380)(269, 381)(270, 382)(271, 383)(272, 384)(273, 385)(274, 386)(275, 387)(276, 388)(277, 389)(278, 390)(279, 391)(280, 392)(281, 393)(282, 394)(283, 395)(284, 396)(285, 397)(286, 398)(287, 399)(288, 400)(289, 401)(290, 402)(291, 403)(292, 404)(293, 405)(294, 406)(295, 407)(296, 408)(297, 409)(298, 410)(299, 411)(300, 412)(301, 413)(302, 414)(303, 415)(304, 416)(305, 417)(306, 418)(307, 419)(308, 420)(309, 421)(310, 422)(311, 423)(312, 424)(313, 425)(314, 426)(315, 427)(316, 428)(317, 429)(318, 430)(319, 431)(320, 432)(321, 433)(322, 434)(323, 435)(324, 436)(325, 437)(326, 438)(327, 439)(328, 440)(329, 441)(330, 442)(331, 443)(332, 444)(333, 445)(334, 446)(335, 447)(336, 448)
	L = (1, 227)(2, 231)(3, 234)(4, 235)(5, 225)(6, 237)(7, 239)(8, 226)(9, 228)(10, 242)(11, 243)(12, 229)(13, 245)(14, 230)(15, 247)(16, 232)(17, 233)(18, 250)(19, 251)(20, 236)(21, 253)(22, 238)(23, 255)(24, 240)(25, 241)(26, 258)(27, 259)(28, 244)(29, 261)(30, 246)(31, 263)(32, 248)(33, 249)(34, 266)(35, 267)(36, 252)(37, 269)(38, 254)(39, 271)(40, 256)(41, 257)(42, 274)(43, 275)(44, 260)(45, 277)(46, 262)(47, 279)(48, 264)(49, 265)(50, 282)(51, 283)(52, 268)(53, 285)(54, 270)(55, 287)(56, 272)(57, 273)(58, 290)(59, 291)(60, 276)(61, 293)(62, 278)(63, 295)(64, 280)(65, 281)(66, 298)(67, 299)(68, 284)(69, 301)(70, 286)(71, 303)(72, 288)(73, 289)(74, 306)(75, 307)(76, 292)(77, 309)(78, 294)(79, 311)(80, 296)(81, 297)(82, 314)(83, 315)(84, 300)(85, 317)(86, 302)(87, 319)(88, 304)(89, 305)(90, 322)(91, 323)(92, 308)(93, 325)(94, 310)(95, 327)(96, 312)(97, 313)(98, 330)(99, 331)(100, 316)(101, 332)(102, 318)(103, 334)(104, 320)(105, 321)(106, 324)(107, 335)(108, 336)(109, 326)(110, 328)(111, 329)(112, 333)(113, 337)(114, 338)(115, 339)(116, 340)(117, 341)(118, 342)(119, 343)(120, 344)(121, 345)(122, 346)(123, 347)(124, 348)(125, 349)(126, 350)(127, 351)(128, 352)(129, 353)(130, 354)(131, 355)(132, 356)(133, 357)(134, 358)(135, 359)(136, 360)(137, 361)(138, 362)(139, 363)(140, 364)(141, 365)(142, 366)(143, 367)(144, 368)(145, 369)(146, 370)(147, 371)(148, 372)(149, 373)(150, 374)(151, 375)(152, 376)(153, 377)(154, 378)(155, 379)(156, 380)(157, 381)(158, 382)(159, 383)(160, 384)(161, 385)(162, 386)(163, 387)(164, 388)(165, 389)(166, 390)(167, 391)(168, 392)(169, 393)(170, 394)(171, 395)(172, 396)(173, 397)(174, 398)(175, 399)(176, 400)(177, 401)(178, 402)(179, 403)(180, 404)(181, 405)(182, 406)(183, 407)(184, 408)(185, 409)(186, 410)(187, 411)(188, 412)(189, 413)(190, 414)(191, 415)(192, 416)(193, 417)(194, 418)(195, 419)(196, 420)(197, 421)(198, 422)(199, 423)(200, 424)(201, 425)(202, 426)(203, 427)(204, 428)(205, 429)(206, 430)(207, 431)(208, 432)(209, 433)(210, 434)(211, 435)(212, 436)(213, 437)(214, 438)(215, 439)(216, 440)(217, 441)(218, 442)(219, 443)(220, 444)(221, 445)(222, 446)(223, 447)(224, 448)
	local type(s) :: { ( 4, 56 ), ( 4, 56, 4, 56, 4, 56, 4, 56 ) }
Outer automorphisms :: reflexible
Dual of E13.1521
Graph:: simple bipartite
	v = 140 e = 224 f = 60
	degree seq :: [ 2^112, 8^28 ]

E13.1523 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 5, 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, T2 * T1^-2 * T2 * T1^3 * T2 * T1^-2, T1^10, (T1^-1 * T2)^5 ]
Map:: polytopal non-degenerate
	R = (1, 2, 5, 11, 23, 47, 46, 22, 10, 4)(3, 7, 15, 31, 63, 79, 72, 38, 18, 8)(6, 13, 27, 55, 89, 78, 94, 62, 30, 14)(9, 19, 39, 56, 81, 48, 80, 75, 42, 20)(12, 25, 51, 85, 77, 45, 70, 37, 54, 26)(16, 33, 64, 96, 112, 100, 108, 88, 53, 34)(17, 35, 67, 97, 111, 95, 105, 83, 69, 36)(21, 43, 61, 32, 50, 24, 49, 82, 71, 44)(28, 57, 90, 76, 102, 110, 118, 106, 84, 58)(29, 59, 40, 73, 101, 109, 115, 103, 93, 60)(41, 74, 99, 114, 116, 104, 87, 52, 86, 65)(66, 92, 68, 98, 113, 119, 120, 117, 107, 91)
	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, 51)(33, 65)(34, 66)(35, 68)(36, 57)(38, 71)(39, 54)(42, 62)(43, 67)(44, 76)(46, 78)(47, 79)(49, 83)(50, 84)(55, 82)(58, 91)(59, 92)(60, 86)(63, 95)(64, 97)(69, 88)(70, 99)(72, 100)(73, 90)(74, 98)(75, 85)(77, 96)(80, 103)(81, 104)(87, 107)(89, 109)(93, 106)(94, 110)(101, 114)(102, 113)(105, 117)(108, 116)(111, 118)(112, 119)(115, 120)
	local type(s) :: { ( 5^10 ) }
Outer automorphisms :: reflexible
Dual of E13.1524
Transitivity :: ET+ VT+ AT+ REG+
Graph::
	v = 12 e = 60 f = 24
	degree seq :: [ 10^12 ]

E13.1524 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 5, 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, T1^5, (T2 * T1^2 * T2 * T1^-1)^2, (T2 * T1 * T2 * T1^-1)^3, (T1^-1 * T2)^10 ]
Map:: polytopal non-degenerate
	R = (1, 2, 5, 10, 4)(3, 7, 14, 17, 8)(6, 12, 23, 26, 13)(9, 18, 33, 36, 19)(11, 21, 39, 42, 22)(15, 28, 50, 41, 29)(16, 30, 53, 56, 31)(20, 37, 63, 65, 38)(24, 44, 70, 64, 45)(25, 46, 34, 59, 47)(27, 49, 76, 75, 48)(32, 57, 84, 86, 58)(35, 60, 40, 67, 61)(43, 69, 94, 93, 68)(51, 79, 100, 85, 74)(52, 73, 54, 80, 72)(55, 81, 77, 99, 82)(62, 88, 104, 105, 89)(66, 91, 107, 106, 90)(71, 96, 111, 97, 78)(83, 101, 114, 103, 87)(92, 108, 117, 109, 95)(98, 110, 116, 115, 102)(112, 119, 120, 118, 113)
	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, 51)(29, 52)(30, 54)(31, 55)(33, 57)(36, 62)(37, 53)(38, 64)(39, 66)(42, 68)(44, 71)(45, 72)(46, 73)(47, 74)(49, 77)(50, 78)(56, 83)(58, 85)(59, 81)(60, 80)(61, 87)(63, 88)(65, 90)(67, 92)(69, 79)(70, 95)(75, 97)(76, 98)(82, 89)(84, 101)(86, 102)(91, 96)(93, 109)(94, 110)(99, 112)(100, 113)(103, 106)(104, 108)(105, 115)(107, 116)(111, 118)(114, 119)(117, 120)
	local type(s) :: { ( 10^5 ) }
Outer automorphisms :: reflexible
Dual of E13.1523
Transitivity :: ET+ VT+ AT+ REG+
Graph:: simple bipartite
	v = 24 e = 60 f = 12
	degree seq :: [ 5^24 ]

E13.1525 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 5, 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, T2^5, (T1 * T2^2 * T1 * T2^-1)^2, (T1 * T2^-1 * T1 * T2^-1 * T1 * T2)^2, (T2^-2 * T1 * T2^-1 * T1)^3 ]
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, 58, 32)(20, 37, 63, 65, 38)(23, 43, 72, 73, 44)(26, 49, 78, 80, 50)(27, 51, 82, 64, 52)(29, 54, 33, 59, 55)(35, 60, 56, 85, 61)(39, 66, 91, 79, 67)(41, 69, 45, 74, 70)(47, 75, 71, 93, 76)(53, 83, 99, 100, 84)(62, 88, 104, 105, 89)(68, 81, 97, 108, 92)(77, 95, 111, 103, 87)(86, 102, 115, 106, 90)(94, 110, 118, 112, 96)(98, 101, 114, 119, 113)(107, 109, 117, 120, 116)(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, 165)(145, 167)(148, 173)(150, 164)(151, 176)(152, 162)(154, 169)(156, 182)(157, 166)(158, 184)(160, 188)(163, 191)(168, 197)(170, 199)(171, 201)(172, 190)(174, 189)(175, 187)(177, 206)(178, 204)(179, 195)(180, 194)(181, 207)(183, 208)(185, 210)(186, 203)(192, 214)(193, 212)(196, 209)(198, 215)(200, 216)(202, 218)(205, 221)(211, 227)(213, 229)(217, 222)(219, 230)(220, 233)(223, 226)(224, 234)(225, 232)(228, 236)(231, 237)(235, 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 ), ( 20^5 ) }
Outer automorphisms :: reflexible
Dual of E13.1529
Transitivity :: ET+
Graph:: simple bipartite
	v = 84 e = 120 f = 12
	degree seq :: [ 2^60, 5^24 ]

E13.1526 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 5, 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 :: [ F^2, (F * T1)^2, (F * T2)^2, (T1^-1 * T2^-1)^2, T1^5, (T2^-2 * T1^2)^2, T1 * T2^-3 * T1^-1 * T2 * T1^-1 * T2^2, T2^-1 * T1^-1 * T2^3 * T1 * T2^-1 * T1 * T2^-1, T2^10 ]
Map:: polytopal non-degenerate
	R = (1, 3, 10, 25, 58, 100, 81, 37, 15, 5)(2, 7, 18, 43, 63, 104, 95, 50, 21, 8)(4, 12, 30, 68, 106, 112, 76, 54, 23, 9)(6, 16, 38, 83, 92, 117, 105, 87, 41, 17)(11, 27, 62, 103, 80, 48, 20, 47, 56, 24)(13, 32, 71, 109, 111, 118, 97, 99, 66, 29)(14, 34, 74, 67, 31, 69, 59, 101, 77, 35)(19, 45, 91, 116, 94, 86, 40, 55, 89, 42)(22, 51, 96, 75, 72, 110, 107, 119, 98, 52)(26, 60, 49, 79, 36, 78, 53, 90, 44, 57)(28, 64, 33, 73, 46, 93, 85, 108, 70, 61)(39, 84, 114, 120, 115, 102, 65, 88, 113, 82)(121, 122, 126, 133, 124)(123, 129, 142, 148, 131)(125, 134, 153, 139, 127)(128, 140, 166, 159, 136)(130, 144, 175, 161, 146)(132, 149, 185, 190, 151)(135, 156, 191, 195, 154)(137, 160, 205, 192, 152)(138, 162, 208, 186, 164)(141, 169, 150, 187, 167)(143, 173, 158, 202, 171)(145, 177, 219, 218, 179)(147, 181, 222, 225, 183)(155, 196, 231, 204, 193)(157, 200, 211, 203, 198)(163, 210, 174, 197, 182)(165, 184, 172, 217, 212)(168, 201, 226, 230, 213)(170, 214, 234, 229, 199)(176, 194, 216, 233, 209)(178, 189, 228, 206, 215)(180, 207, 235, 227, 188)(220, 224, 237, 238, 232)(221, 239, 240, 236, 223)
	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) :: { ( 4^5 ), ( 4^10 ) }
Outer automorphisms :: reflexible
Dual of E13.1530
Transitivity :: ET+
Graph:: simple bipartite
	v = 36 e = 120 f = 60
	degree seq :: [ 5^24, 10^12 ]

E13.1527 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 5, 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 :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T2 * T1^-2 * T2 * T1^3 * T2 * T1^-2, (T2 * T1^-1)^5, 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, 37)(19, 40)(20, 41)(22, 45)(23, 48)(25, 52)(26, 53)(27, 56)(30, 61)(31, 51)(33, 65)(34, 66)(35, 68)(36, 57)(38, 71)(39, 54)(42, 62)(43, 67)(44, 76)(46, 78)(47, 79)(49, 83)(50, 84)(55, 82)(58, 91)(59, 92)(60, 86)(63, 95)(64, 97)(69, 88)(70, 99)(72, 100)(73, 90)(74, 98)(75, 85)(77, 96)(80, 103)(81, 104)(87, 107)(89, 109)(93, 106)(94, 110)(101, 114)(102, 113)(105, 117)(108, 116)(111, 118)(112, 119)(115, 120)(121, 122, 125, 131, 143, 167, 166, 142, 130, 124)(123, 127, 135, 151, 183, 199, 192, 158, 138, 128)(126, 133, 147, 175, 209, 198, 214, 182, 150, 134)(129, 139, 159, 176, 201, 168, 200, 195, 162, 140)(132, 145, 171, 205, 197, 165, 190, 157, 174, 146)(136, 153, 184, 216, 232, 220, 228, 208, 173, 154)(137, 155, 187, 217, 231, 215, 225, 203, 189, 156)(141, 163, 181, 152, 170, 144, 169, 202, 191, 164)(148, 177, 210, 196, 222, 230, 238, 226, 204, 178)(149, 179, 160, 193, 221, 229, 235, 223, 213, 180)(161, 194, 219, 234, 236, 224, 207, 172, 206, 185)(186, 212, 188, 218, 233, 239, 240, 237, 227, 211)
	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, 10 ), ( 10^10 ) }
Outer automorphisms :: reflexible
Dual of E13.1528
Transitivity :: ET+
Graph:: simple bipartite
	v = 72 e = 120 f = 24
	degree seq :: [ 2^60, 10^12 ]

E13.1528 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 5, 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, T2^5, (T1 * T2^2 * T1 * T2^-1)^2, (T1 * T2^-1 * T1 * T2^-1 * T1 * T2)^2, (T2^-2 * T1 * T2^-1 * T1)^3 ]
Map::
	R = (1, 121, 3, 123, 8, 128, 10, 130, 4, 124)(2, 122, 5, 125, 12, 132, 14, 134, 6, 126)(7, 127, 15, 135, 28, 148, 30, 150, 16, 136)(9, 129, 18, 138, 34, 154, 36, 156, 19, 139)(11, 131, 21, 141, 40, 160, 42, 162, 22, 142)(13, 133, 24, 144, 46, 166, 48, 168, 25, 145)(17, 137, 31, 151, 57, 177, 58, 178, 32, 152)(20, 140, 37, 157, 63, 183, 65, 185, 38, 158)(23, 143, 43, 163, 72, 192, 73, 193, 44, 164)(26, 146, 49, 169, 78, 198, 80, 200, 50, 170)(27, 147, 51, 171, 82, 202, 64, 184, 52, 172)(29, 149, 54, 174, 33, 153, 59, 179, 55, 175)(35, 155, 60, 180, 56, 176, 85, 205, 61, 181)(39, 159, 66, 186, 91, 211, 79, 199, 67, 187)(41, 161, 69, 189, 45, 165, 74, 194, 70, 190)(47, 167, 75, 195, 71, 191, 93, 213, 76, 196)(53, 173, 83, 203, 99, 219, 100, 220, 84, 204)(62, 182, 88, 208, 104, 224, 105, 225, 89, 209)(68, 188, 81, 201, 97, 217, 108, 228, 92, 212)(77, 197, 95, 215, 111, 231, 103, 223, 87, 207)(86, 206, 102, 222, 115, 235, 106, 226, 90, 210)(94, 214, 110, 230, 118, 238, 112, 232, 96, 216)(98, 218, 101, 221, 114, 234, 119, 239, 113, 233)(107, 227, 109, 229, 117, 237, 120, 240, 116, 236)
	L = (1, 122)(2, 121)(3, 127)(4, 129)(5, 131)(6, 133)(7, 123)(8, 137)(9, 124)(10, 140)(11, 125)(12, 143)(13, 126)(14, 146)(15, 147)(16, 149)(17, 128)(18, 153)(19, 155)(20, 130)(21, 159)(22, 161)(23, 132)(24, 165)(25, 167)(26, 134)(27, 135)(28, 173)(29, 136)(30, 164)(31, 176)(32, 162)(33, 138)(34, 169)(35, 139)(36, 182)(37, 166)(38, 184)(39, 141)(40, 188)(41, 142)(42, 152)(43, 191)(44, 150)(45, 144)(46, 157)(47, 145)(48, 197)(49, 154)(50, 199)(51, 201)(52, 190)(53, 148)(54, 189)(55, 187)(56, 151)(57, 206)(58, 204)(59, 195)(60, 194)(61, 207)(62, 156)(63, 208)(64, 158)(65, 210)(66, 203)(67, 175)(68, 160)(69, 174)(70, 172)(71, 163)(72, 214)(73, 212)(74, 180)(75, 179)(76, 209)(77, 168)(78, 215)(79, 170)(80, 216)(81, 171)(82, 218)(83, 186)(84, 178)(85, 221)(86, 177)(87, 181)(88, 183)(89, 196)(90, 185)(91, 227)(92, 193)(93, 229)(94, 192)(95, 198)(96, 200)(97, 222)(98, 202)(99, 230)(100, 233)(101, 205)(102, 217)(103, 226)(104, 234)(105, 232)(106, 223)(107, 211)(108, 236)(109, 213)(110, 219)(111, 237)(112, 225)(113, 220)(114, 224)(115, 238)(116, 228)(117, 231)(118, 235)(119, 240)(120, 239)
	local type(s) :: { ( 2, 10, 2, 10, 2, 10, 2, 10, 2, 10 ) }
Outer automorphisms :: reflexible
Dual of E13.1527
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 24 e = 120 f = 72
	degree seq :: [ 10^24 ]

E13.1529 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 5, 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 :: [ F^2, (F * T1)^2, (F * T2)^2, (T1^-1 * T2^-1)^2, T1^5, (T2^-2 * T1^2)^2, T1 * T2^-3 * T1^-1 * T2 * T1^-1 * T2^2, T2^-1 * T1^-1 * T2^3 * T1 * T2^-1 * T1 * T2^-1, T2^10 ]
Map::
	R = (1, 121, 3, 123, 10, 130, 25, 145, 58, 178, 100, 220, 81, 201, 37, 157, 15, 135, 5, 125)(2, 122, 7, 127, 18, 138, 43, 163, 63, 183, 104, 224, 95, 215, 50, 170, 21, 141, 8, 128)(4, 124, 12, 132, 30, 150, 68, 188, 106, 226, 112, 232, 76, 196, 54, 174, 23, 143, 9, 129)(6, 126, 16, 136, 38, 158, 83, 203, 92, 212, 117, 237, 105, 225, 87, 207, 41, 161, 17, 137)(11, 131, 27, 147, 62, 182, 103, 223, 80, 200, 48, 168, 20, 140, 47, 167, 56, 176, 24, 144)(13, 133, 32, 152, 71, 191, 109, 229, 111, 231, 118, 238, 97, 217, 99, 219, 66, 186, 29, 149)(14, 134, 34, 154, 74, 194, 67, 187, 31, 151, 69, 189, 59, 179, 101, 221, 77, 197, 35, 155)(19, 139, 45, 165, 91, 211, 116, 236, 94, 214, 86, 206, 40, 160, 55, 175, 89, 209, 42, 162)(22, 142, 51, 171, 96, 216, 75, 195, 72, 192, 110, 230, 107, 227, 119, 239, 98, 218, 52, 172)(26, 146, 60, 180, 49, 169, 79, 199, 36, 156, 78, 198, 53, 173, 90, 210, 44, 164, 57, 177)(28, 148, 64, 184, 33, 153, 73, 193, 46, 166, 93, 213, 85, 205, 108, 228, 70, 190, 61, 181)(39, 159, 84, 204, 114, 234, 120, 240, 115, 235, 102, 222, 65, 185, 88, 208, 113, 233, 82, 202)
	L = (1, 122)(2, 126)(3, 129)(4, 121)(5, 134)(6, 133)(7, 125)(8, 140)(9, 142)(10, 144)(11, 123)(12, 149)(13, 124)(14, 153)(15, 156)(16, 128)(17, 160)(18, 162)(19, 127)(20, 166)(21, 169)(22, 148)(23, 173)(24, 175)(25, 177)(26, 130)(27, 181)(28, 131)(29, 185)(30, 187)(31, 132)(32, 137)(33, 139)(34, 135)(35, 196)(36, 191)(37, 200)(38, 202)(39, 136)(40, 205)(41, 146)(42, 208)(43, 210)(44, 138)(45, 184)(46, 159)(47, 141)(48, 201)(49, 150)(50, 214)(51, 143)(52, 217)(53, 158)(54, 197)(55, 161)(56, 194)(57, 219)(58, 189)(59, 145)(60, 207)(61, 222)(62, 163)(63, 147)(64, 172)(65, 190)(66, 164)(67, 167)(68, 180)(69, 228)(70, 151)(71, 195)(72, 152)(73, 155)(74, 216)(75, 154)(76, 231)(77, 182)(78, 157)(79, 170)(80, 211)(81, 226)(82, 171)(83, 198)(84, 193)(85, 192)(86, 215)(87, 235)(88, 186)(89, 176)(90, 174)(91, 203)(92, 165)(93, 168)(94, 234)(95, 178)(96, 233)(97, 212)(98, 179)(99, 218)(100, 224)(101, 239)(102, 225)(103, 221)(104, 237)(105, 183)(106, 230)(107, 188)(108, 206)(109, 199)(110, 213)(111, 204)(112, 220)(113, 209)(114, 229)(115, 227)(116, 223)(117, 238)(118, 232)(119, 240)(120, 236)
	local type(s) :: { ( 2, 5, 2, 5, 2, 5, 2, 5, 2, 5, 2, 5, 2, 5, 2, 5, 2, 5, 2, 5 ) }
Outer automorphisms :: reflexible
Dual of E13.1525
Transitivity :: ET+ VT+ AT
Graph::
	v = 12 e = 120 f = 84
	degree seq :: [ 20^12 ]

E13.1530 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 5, 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 :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T2 * T1^-2 * T2 * T1^3 * T2 * T1^-2, (T2 * T1^-1)^5, T1^10 ]
Map:: polytopal non-degenerate
	R = (1, 121, 3, 123)(2, 122, 6, 126)(4, 124, 9, 129)(5, 125, 12, 132)(7, 127, 16, 136)(8, 128, 17, 137)(10, 130, 21, 141)(11, 131, 24, 144)(13, 133, 28, 148)(14, 134, 29, 149)(15, 135, 32, 152)(18, 138, 37, 157)(19, 139, 40, 160)(20, 140, 41, 161)(22, 142, 45, 165)(23, 143, 48, 168)(25, 145, 52, 172)(26, 146, 53, 173)(27, 147, 56, 176)(30, 150, 61, 181)(31, 151, 51, 171)(33, 153, 65, 185)(34, 154, 66, 186)(35, 155, 68, 188)(36, 156, 57, 177)(38, 158, 71, 191)(39, 159, 54, 174)(42, 162, 62, 182)(43, 163, 67, 187)(44, 164, 76, 196)(46, 166, 78, 198)(47, 167, 79, 199)(49, 169, 83, 203)(50, 170, 84, 204)(55, 175, 82, 202)(58, 178, 91, 211)(59, 179, 92, 212)(60, 180, 86, 206)(63, 183, 95, 215)(64, 184, 97, 217)(69, 189, 88, 208)(70, 190, 99, 219)(72, 192, 100, 220)(73, 193, 90, 210)(74, 194, 98, 218)(75, 195, 85, 205)(77, 197, 96, 216)(80, 200, 103, 223)(81, 201, 104, 224)(87, 207, 107, 227)(89, 209, 109, 229)(93, 213, 106, 226)(94, 214, 110, 230)(101, 221, 114, 234)(102, 222, 113, 233)(105, 225, 117, 237)(108, 228, 116, 236)(111, 231, 118, 238)(112, 232, 119, 239)(115, 235, 120, 240)
	L = (1, 122)(2, 125)(3, 127)(4, 121)(5, 131)(6, 133)(7, 135)(8, 123)(9, 139)(10, 124)(11, 143)(12, 145)(13, 147)(14, 126)(15, 151)(16, 153)(17, 155)(18, 128)(19, 159)(20, 129)(21, 163)(22, 130)(23, 167)(24, 169)(25, 171)(26, 132)(27, 175)(28, 177)(29, 179)(30, 134)(31, 183)(32, 170)(33, 184)(34, 136)(35, 187)(36, 137)(37, 174)(38, 138)(39, 176)(40, 193)(41, 194)(42, 140)(43, 181)(44, 141)(45, 190)(46, 142)(47, 166)(48, 200)(49, 202)(50, 144)(51, 205)(52, 206)(53, 154)(54, 146)(55, 209)(56, 201)(57, 210)(58, 148)(59, 160)(60, 149)(61, 152)(62, 150)(63, 199)(64, 216)(65, 161)(66, 212)(67, 217)(68, 218)(69, 156)(70, 157)(71, 164)(72, 158)(73, 221)(74, 219)(75, 162)(76, 222)(77, 165)(78, 214)(79, 192)(80, 195)(81, 168)(82, 191)(83, 189)(84, 178)(85, 197)(86, 185)(87, 172)(88, 173)(89, 198)(90, 196)(91, 186)(92, 188)(93, 180)(94, 182)(95, 225)(96, 232)(97, 231)(98, 233)(99, 234)(100, 228)(101, 229)(102, 230)(103, 213)(104, 207)(105, 203)(106, 204)(107, 211)(108, 208)(109, 235)(110, 238)(111, 215)(112, 220)(113, 239)(114, 236)(115, 223)(116, 224)(117, 227)(118, 226)(119, 240)(120, 237)
	local type(s) :: { ( 5, 10, 5, 10 ) }
Outer automorphisms :: reflexible
Dual of E13.1526
Transitivity :: ET+ VT+ AT
Graph:: simple
	v = 60 e = 120 f = 36
	degree seq :: [ 4^60 ]

E13.1531 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 5, 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, Y2^5, (R * Y2 * Y3^-1)^2, (R * Y2^2 * Y1)^2, (Y1 * Y2^2 * Y1 * Y2^-1)^2, (Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2)^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, 20, 140)(12, 132, 23, 143)(14, 134, 26, 146)(15, 135, 27, 147)(16, 136, 29, 149)(18, 138, 33, 153)(19, 139, 35, 155)(21, 141, 39, 159)(22, 142, 41, 161)(24, 144, 45, 165)(25, 145, 47, 167)(28, 148, 53, 173)(30, 150, 44, 164)(31, 151, 56, 176)(32, 152, 42, 162)(34, 154, 49, 169)(36, 156, 62, 182)(37, 157, 46, 166)(38, 158, 64, 184)(40, 160, 68, 188)(43, 163, 71, 191)(48, 168, 77, 197)(50, 170, 79, 199)(51, 171, 81, 201)(52, 172, 70, 190)(54, 174, 69, 189)(55, 175, 67, 187)(57, 177, 86, 206)(58, 178, 84, 204)(59, 179, 75, 195)(60, 180, 74, 194)(61, 181, 87, 207)(63, 183, 88, 208)(65, 185, 90, 210)(66, 186, 83, 203)(72, 192, 94, 214)(73, 193, 92, 212)(76, 196, 89, 209)(78, 198, 95, 215)(80, 200, 96, 216)(82, 202, 98, 218)(85, 205, 101, 221)(91, 211, 107, 227)(93, 213, 109, 229)(97, 217, 102, 222)(99, 219, 110, 230)(100, 220, 113, 233)(103, 223, 106, 226)(104, 224, 114, 234)(105, 225, 112, 232)(108, 228, 116, 236)(111, 231, 117, 237)(115, 235, 118, 238)(119, 239, 120, 240)(241, 361, 243, 363, 248, 368, 250, 370, 244, 364)(242, 362, 245, 365, 252, 372, 254, 374, 246, 366)(247, 367, 255, 375, 268, 388, 270, 390, 256, 376)(249, 369, 258, 378, 274, 394, 276, 396, 259, 379)(251, 371, 261, 381, 280, 400, 282, 402, 262, 382)(253, 373, 264, 384, 286, 406, 288, 408, 265, 385)(257, 377, 271, 391, 297, 417, 298, 418, 272, 392)(260, 380, 277, 397, 303, 423, 305, 425, 278, 398)(263, 383, 283, 403, 312, 432, 313, 433, 284, 404)(266, 386, 289, 409, 318, 438, 320, 440, 290, 410)(267, 387, 291, 411, 322, 442, 304, 424, 292, 412)(269, 389, 294, 414, 273, 393, 299, 419, 295, 415)(275, 395, 300, 420, 296, 416, 325, 445, 301, 421)(279, 399, 306, 426, 331, 451, 319, 439, 307, 427)(281, 401, 309, 429, 285, 405, 314, 434, 310, 430)(287, 407, 315, 435, 311, 431, 333, 453, 316, 436)(293, 413, 323, 443, 339, 459, 340, 460, 324, 444)(302, 422, 328, 448, 344, 464, 345, 465, 329, 449)(308, 428, 321, 441, 337, 457, 348, 468, 332, 452)(317, 437, 335, 455, 351, 471, 343, 463, 327, 447)(326, 446, 342, 462, 355, 475, 346, 466, 330, 450)(334, 454, 350, 470, 358, 478, 352, 472, 336, 456)(338, 458, 341, 461, 354, 474, 359, 479, 353, 473)(347, 467, 349, 469, 357, 477, 360, 480, 356, 476)
	L = (1, 242)(2, 241)(3, 247)(4, 249)(5, 251)(6, 253)(7, 243)(8, 257)(9, 244)(10, 260)(11, 245)(12, 263)(13, 246)(14, 266)(15, 267)(16, 269)(17, 248)(18, 273)(19, 275)(20, 250)(21, 279)(22, 281)(23, 252)(24, 285)(25, 287)(26, 254)(27, 255)(28, 293)(29, 256)(30, 284)(31, 296)(32, 282)(33, 258)(34, 289)(35, 259)(36, 302)(37, 286)(38, 304)(39, 261)(40, 308)(41, 262)(42, 272)(43, 311)(44, 270)(45, 264)(46, 277)(47, 265)(48, 317)(49, 274)(50, 319)(51, 321)(52, 310)(53, 268)(54, 309)(55, 307)(56, 271)(57, 326)(58, 324)(59, 315)(60, 314)(61, 327)(62, 276)(63, 328)(64, 278)(65, 330)(66, 323)(67, 295)(68, 280)(69, 294)(70, 292)(71, 283)(72, 334)(73, 332)(74, 300)(75, 299)(76, 329)(77, 288)(78, 335)(79, 290)(80, 336)(81, 291)(82, 338)(83, 306)(84, 298)(85, 341)(86, 297)(87, 301)(88, 303)(89, 316)(90, 305)(91, 347)(92, 313)(93, 349)(94, 312)(95, 318)(96, 320)(97, 342)(98, 322)(99, 350)(100, 353)(101, 325)(102, 337)(103, 346)(104, 354)(105, 352)(106, 343)(107, 331)(108, 356)(109, 333)(110, 339)(111, 357)(112, 345)(113, 340)(114, 344)(115, 358)(116, 348)(117, 351)(118, 355)(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 ) }
Outer automorphisms :: reflexible
Dual of E13.1534
Graph:: bipartite
	v = 84 e = 240 f = 132
	degree seq :: [ 4^60, 10^24 ]

E13.1532 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 5, 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 :: [ R^2, Y2 * Y3^-1, (Y1^-1 * Y2^-1)^2, (Y3^-1 * Y1^-1)^2, (R * Y1)^2, (R * Y3)^2, Y1^5, (Y1^-1 * Y2^2 * Y1^-1)^2, Y2 * Y1^-1 * Y2^2 * Y1 * Y2^-3 * Y1^-1, Y2^-1 * Y1^-1 * Y2^3 * Y1 * Y2^-1 * Y1 * Y2^-1, Y2^10 ]
Map::
	R = (1, 121, 2, 122, 6, 126, 13, 133, 4, 124)(3, 123, 9, 129, 22, 142, 28, 148, 11, 131)(5, 125, 14, 134, 33, 153, 19, 139, 7, 127)(8, 128, 20, 140, 46, 166, 39, 159, 16, 136)(10, 130, 24, 144, 55, 175, 41, 161, 26, 146)(12, 132, 29, 149, 65, 185, 70, 190, 31, 151)(15, 135, 36, 156, 71, 191, 75, 195, 34, 154)(17, 137, 40, 160, 85, 205, 72, 192, 32, 152)(18, 138, 42, 162, 88, 208, 66, 186, 44, 164)(21, 141, 49, 169, 30, 150, 67, 187, 47, 167)(23, 143, 53, 173, 38, 158, 82, 202, 51, 171)(25, 145, 57, 177, 99, 219, 98, 218, 59, 179)(27, 147, 61, 181, 102, 222, 105, 225, 63, 183)(35, 155, 76, 196, 111, 231, 84, 204, 73, 193)(37, 157, 80, 200, 91, 211, 83, 203, 78, 198)(43, 163, 90, 210, 54, 174, 77, 197, 62, 182)(45, 165, 64, 184, 52, 172, 97, 217, 92, 212)(48, 168, 81, 201, 106, 226, 110, 230, 93, 213)(50, 170, 94, 214, 114, 234, 109, 229, 79, 199)(56, 176, 74, 194, 96, 216, 113, 233, 89, 209)(58, 178, 69, 189, 108, 228, 86, 206, 95, 215)(60, 180, 87, 207, 115, 235, 107, 227, 68, 188)(100, 220, 104, 224, 117, 237, 118, 238, 112, 232)(101, 221, 119, 239, 120, 240, 116, 236, 103, 223)(241, 361, 243, 363, 250, 370, 265, 385, 298, 418, 340, 460, 321, 441, 277, 397, 255, 375, 245, 365)(242, 362, 247, 367, 258, 378, 283, 403, 303, 423, 344, 464, 335, 455, 290, 410, 261, 381, 248, 368)(244, 364, 252, 372, 270, 390, 308, 428, 346, 466, 352, 472, 316, 436, 294, 414, 263, 383, 249, 369)(246, 366, 256, 376, 278, 398, 323, 443, 332, 452, 357, 477, 345, 465, 327, 447, 281, 401, 257, 377)(251, 371, 267, 387, 302, 422, 343, 463, 320, 440, 288, 408, 260, 380, 287, 407, 296, 416, 264, 384)(253, 373, 272, 392, 311, 431, 349, 469, 351, 471, 358, 478, 337, 457, 339, 459, 306, 426, 269, 389)(254, 374, 274, 394, 314, 434, 307, 427, 271, 391, 309, 429, 299, 419, 341, 461, 317, 437, 275, 395)(259, 379, 285, 405, 331, 451, 356, 476, 334, 454, 326, 446, 280, 400, 295, 415, 329, 449, 282, 402)(262, 382, 291, 411, 336, 456, 315, 435, 312, 432, 350, 470, 347, 467, 359, 479, 338, 458, 292, 412)(266, 386, 300, 420, 289, 409, 319, 439, 276, 396, 318, 438, 293, 413, 330, 450, 284, 404, 297, 417)(268, 388, 304, 424, 273, 393, 313, 433, 286, 406, 333, 453, 325, 445, 348, 468, 310, 430, 301, 421)(279, 399, 324, 444, 354, 474, 360, 480, 355, 475, 342, 462, 305, 425, 328, 448, 353, 473, 322, 442)
	L = (1, 243)(2, 247)(3, 250)(4, 252)(5, 241)(6, 256)(7, 258)(8, 242)(9, 244)(10, 265)(11, 267)(12, 270)(13, 272)(14, 274)(15, 245)(16, 278)(17, 246)(18, 283)(19, 285)(20, 287)(21, 248)(22, 291)(23, 249)(24, 251)(25, 298)(26, 300)(27, 302)(28, 304)(29, 253)(30, 308)(31, 309)(32, 311)(33, 313)(34, 314)(35, 254)(36, 318)(37, 255)(38, 323)(39, 324)(40, 295)(41, 257)(42, 259)(43, 303)(44, 297)(45, 331)(46, 333)(47, 296)(48, 260)(49, 319)(50, 261)(51, 336)(52, 262)(53, 330)(54, 263)(55, 329)(56, 264)(57, 266)(58, 340)(59, 341)(60, 289)(61, 268)(62, 343)(63, 344)(64, 273)(65, 328)(66, 269)(67, 271)(68, 346)(69, 299)(70, 301)(71, 349)(72, 350)(73, 286)(74, 307)(75, 312)(76, 294)(77, 275)(78, 293)(79, 276)(80, 288)(81, 277)(82, 279)(83, 332)(84, 354)(85, 348)(86, 280)(87, 281)(88, 353)(89, 282)(90, 284)(91, 356)(92, 357)(93, 325)(94, 326)(95, 290)(96, 315)(97, 339)(98, 292)(99, 306)(100, 321)(101, 317)(102, 305)(103, 320)(104, 335)(105, 327)(106, 352)(107, 359)(108, 310)(109, 351)(110, 347)(111, 358)(112, 316)(113, 322)(114, 360)(115, 342)(116, 334)(117, 345)(118, 337)(119, 338)(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, 4, 2, 4, 2, 4, 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 E13.1533
Graph:: bipartite
	v = 36 e = 240 f = 180
	degree seq :: [ 10^24, 20^12 ]

E13.1533 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 5, 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, Y2^2, R^2, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y3^-1 * Y2 * Y3^2 * Y2 * Y3^2 * Y2 * Y3^-2, (Y3 * Y2)^5, (Y2 * Y3 * Y2 * Y3^-2)^2, (Y3 * Y2 * Y3^-1 * Y2)^3, (Y3^-1 * Y1^-1)^10 ]
Map:: polytopal
	R = (1, 121)(2, 122)(3, 123)(4, 124)(5, 125)(6, 126)(7, 127)(8, 128)(9, 129)(10, 130)(11, 131)(12, 132)(13, 133)(14, 134)(15, 135)(16, 136)(17, 137)(18, 138)(19, 139)(20, 140)(21, 141)(22, 142)(23, 143)(24, 144)(25, 145)(26, 146)(27, 147)(28, 148)(29, 149)(30, 150)(31, 151)(32, 152)(33, 153)(34, 154)(35, 155)(36, 156)(37, 157)(38, 158)(39, 159)(40, 160)(41, 161)(42, 162)(43, 163)(44, 164)(45, 165)(46, 166)(47, 167)(48, 168)(49, 169)(50, 170)(51, 171)(52, 172)(53, 173)(54, 174)(55, 175)(56, 176)(57, 177)(58, 178)(59, 179)(60, 180)(61, 181)(62, 182)(63, 183)(64, 184)(65, 185)(66, 186)(67, 187)(68, 188)(69, 189)(70, 190)(71, 191)(72, 192)(73, 193)(74, 194)(75, 195)(76, 196)(77, 197)(78, 198)(79, 199)(80, 200)(81, 201)(82, 202)(83, 203)(84, 204)(85, 205)(86, 206)(87, 207)(88, 208)(89, 209)(90, 210)(91, 211)(92, 212)(93, 213)(94, 214)(95, 215)(96, 216)(97, 217)(98, 218)(99, 219)(100, 220)(101, 221)(102, 222)(103, 223)(104, 224)(105, 225)(106, 226)(107, 227)(108, 228)(109, 229)(110, 230)(111, 231)(112, 232)(113, 233)(114, 234)(115, 235)(116, 236)(117, 237)(118, 238)(119, 239)(120, 240)(241, 361, 242, 362)(243, 363, 247, 367)(244, 364, 249, 369)(245, 365, 251, 371)(246, 366, 253, 373)(248, 368, 257, 377)(250, 370, 261, 381)(252, 372, 265, 385)(254, 374, 269, 389)(255, 375, 271, 391)(256, 376, 273, 393)(258, 378, 277, 397)(259, 379, 279, 399)(260, 380, 281, 401)(262, 382, 285, 405)(263, 383, 287, 407)(264, 384, 289, 409)(266, 386, 293, 413)(267, 387, 295, 415)(268, 388, 297, 417)(270, 390, 301, 421)(272, 392, 304, 424)(274, 394, 292, 412)(275, 395, 309, 429)(276, 396, 290, 410)(278, 398, 311, 431)(280, 400, 299, 419)(282, 402, 308, 428)(283, 403, 296, 416)(284, 404, 316, 436)(286, 406, 318, 438)(288, 408, 320, 440)(291, 411, 325, 445)(294, 414, 327, 447)(298, 418, 324, 444)(300, 420, 332, 452)(302, 422, 334, 454)(303, 423, 323, 443)(305, 425, 333, 453)(306, 426, 322, 442)(307, 427, 319, 439)(310, 430, 331, 451)(312, 432, 328, 448)(313, 433, 330, 450)(314, 434, 329, 449)(315, 435, 326, 446)(317, 437, 321, 441)(335, 455, 351, 471)(336, 456, 352, 472)(337, 457, 347, 467)(338, 458, 354, 474)(339, 459, 345, 465)(340, 460, 353, 473)(341, 461, 350, 470)(342, 462, 349, 469)(343, 463, 355, 475)(344, 464, 356, 476)(346, 466, 358, 478)(348, 468, 357, 477)(359, 479, 360, 480)
	L = (1, 243)(2, 245)(3, 248)(4, 241)(5, 252)(6, 242)(7, 255)(8, 258)(9, 259)(10, 244)(11, 263)(12, 266)(13, 267)(14, 246)(15, 272)(16, 247)(17, 275)(18, 278)(19, 280)(20, 249)(21, 283)(22, 250)(23, 288)(24, 251)(25, 291)(26, 294)(27, 296)(28, 253)(29, 299)(30, 254)(31, 297)(32, 305)(33, 306)(34, 256)(35, 293)(36, 257)(37, 310)(38, 312)(39, 313)(40, 304)(41, 314)(42, 260)(43, 292)(44, 261)(45, 300)(46, 262)(47, 281)(48, 321)(49, 322)(50, 264)(51, 277)(52, 265)(53, 326)(54, 328)(55, 329)(56, 320)(57, 330)(58, 268)(59, 276)(60, 269)(61, 284)(62, 270)(63, 271)(64, 335)(65, 336)(66, 279)(67, 273)(68, 274)(69, 319)(70, 333)(71, 340)(72, 286)(73, 341)(74, 332)(75, 282)(76, 342)(77, 285)(78, 338)(79, 287)(80, 343)(81, 344)(82, 295)(83, 289)(84, 290)(85, 303)(86, 317)(87, 348)(88, 302)(89, 349)(90, 316)(91, 298)(92, 350)(93, 301)(94, 346)(95, 311)(96, 318)(97, 307)(98, 308)(99, 309)(100, 315)(101, 352)(102, 354)(103, 327)(104, 334)(105, 323)(106, 324)(107, 325)(108, 331)(109, 356)(110, 358)(111, 339)(112, 359)(113, 337)(114, 355)(115, 347)(116, 360)(117, 345)(118, 351)(119, 353)(120, 357)(121, 361)(122, 362)(123, 363)(124, 364)(125, 365)(126, 366)(127, 367)(128, 368)(129, 369)(130, 370)(131, 371)(132, 372)(133, 373)(134, 374)(135, 375)(136, 376)(137, 377)(138, 378)(139, 379)(140, 380)(141, 381)(142, 382)(143, 383)(144, 384)(145, 385)(146, 386)(147, 387)(148, 388)(149, 389)(150, 390)(151, 391)(152, 392)(153, 393)(154, 394)(155, 395)(156, 396)(157, 397)(158, 398)(159, 399)(160, 400)(161, 401)(162, 402)(163, 403)(164, 404)(165, 405)(166, 406)(167, 407)(168, 408)(169, 409)(170, 410)(171, 411)(172, 412)(173, 413)(174, 414)(175, 415)(176, 416)(177, 417)(178, 418)(179, 419)(180, 420)(181, 421)(182, 422)(183, 423)(184, 424)(185, 425)(186, 426)(187, 427)(188, 428)(189, 429)(190, 430)(191, 431)(192, 432)(193, 433)(194, 434)(195, 435)(196, 436)(197, 437)(198, 438)(199, 439)(200, 440)(201, 441)(202, 442)(203, 443)(204, 444)(205, 445)(206, 446)(207, 447)(208, 448)(209, 449)(210, 450)(211, 451)(212, 452)(213, 453)(214, 454)(215, 455)(216, 456)(217, 457)(218, 458)(219, 459)(220, 460)(221, 461)(222, 462)(223, 463)(224, 464)(225, 465)(226, 466)(227, 467)(228, 468)(229, 469)(230, 470)(231, 471)(232, 472)(233, 473)(234, 474)(235, 475)(236, 476)(237, 477)(238, 478)(239, 479)(240, 480)
	local type(s) :: { ( 10, 20 ), ( 10, 20, 10, 20 ) }
Outer automorphisms :: reflexible
Dual of E13.1532
Graph:: simple bipartite
	v = 180 e = 240 f = 36
	degree seq :: [ 2^120, 4^60 ]

E13.1534 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 5, 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, Y3 * Y1^2 * Y3 * Y1^2 * Y3 * Y1^-3, (Y3 * Y1^2 * Y3 * Y1^-1)^2, (Y3 * Y1^-1)^5, Y1^10 ]
Map:: polytopal
	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, 63, 183, 79, 199, 72, 192, 38, 158, 18, 138, 8, 128)(6, 126, 13, 133, 27, 147, 55, 175, 89, 209, 78, 198, 94, 214, 62, 182, 30, 150, 14, 134)(9, 129, 19, 139, 39, 159, 56, 176, 81, 201, 48, 168, 80, 200, 75, 195, 42, 162, 20, 140)(12, 132, 25, 145, 51, 171, 85, 205, 77, 197, 45, 165, 70, 190, 37, 157, 54, 174, 26, 146)(16, 136, 33, 153, 64, 184, 96, 216, 112, 232, 100, 220, 108, 228, 88, 208, 53, 173, 34, 154)(17, 137, 35, 155, 67, 187, 97, 217, 111, 231, 95, 215, 105, 225, 83, 203, 69, 189, 36, 156)(21, 141, 43, 163, 61, 181, 32, 152, 50, 170, 24, 144, 49, 169, 82, 202, 71, 191, 44, 164)(28, 148, 57, 177, 90, 210, 76, 196, 102, 222, 110, 230, 118, 238, 106, 226, 84, 204, 58, 178)(29, 149, 59, 179, 40, 160, 73, 193, 101, 221, 109, 229, 115, 235, 103, 223, 93, 213, 60, 180)(41, 161, 74, 194, 99, 219, 114, 234, 116, 236, 104, 224, 87, 207, 52, 172, 86, 206, 65, 185)(66, 186, 92, 212, 68, 188, 98, 218, 113, 233, 119, 239, 120, 240, 117, 237, 107, 227, 91, 211)(241, 361)(242, 362)(243, 363)(244, 364)(245, 365)(246, 366)(247, 367)(248, 368)(249, 369)(250, 370)(251, 371)(252, 372)(253, 373)(254, 374)(255, 375)(256, 376)(257, 377)(258, 378)(259, 379)(260, 380)(261, 381)(262, 382)(263, 383)(264, 384)(265, 385)(266, 386)(267, 387)(268, 388)(269, 389)(270, 390)(271, 391)(272, 392)(273, 393)(274, 394)(275, 395)(276, 396)(277, 397)(278, 398)(279, 399)(280, 400)(281, 401)(282, 402)(283, 403)(284, 404)(285, 405)(286, 406)(287, 407)(288, 408)(289, 409)(290, 410)(291, 411)(292, 412)(293, 413)(294, 414)(295, 415)(296, 416)(297, 417)(298, 418)(299, 419)(300, 420)(301, 421)(302, 422)(303, 423)(304, 424)(305, 425)(306, 426)(307, 427)(308, 428)(309, 429)(310, 430)(311, 431)(312, 432)(313, 433)(314, 434)(315, 435)(316, 436)(317, 437)(318, 438)(319, 439)(320, 440)(321, 441)(322, 442)(323, 443)(324, 444)(325, 445)(326, 446)(327, 447)(328, 448)(329, 449)(330, 450)(331, 451)(332, 452)(333, 453)(334, 454)(335, 455)(336, 456)(337, 457)(338, 458)(339, 459)(340, 460)(341, 461)(342, 462)(343, 463)(344, 464)(345, 465)(346, 466)(347, 467)(348, 468)(349, 469)(350, 470)(351, 471)(352, 472)(353, 473)(354, 474)(355, 475)(356, 476)(357, 477)(358, 478)(359, 479)(360, 480)
	L = (1, 243)(2, 246)(3, 241)(4, 249)(5, 252)(6, 242)(7, 256)(8, 257)(9, 244)(10, 261)(11, 264)(12, 245)(13, 268)(14, 269)(15, 272)(16, 247)(17, 248)(18, 277)(19, 280)(20, 281)(21, 250)(22, 285)(23, 288)(24, 251)(25, 292)(26, 293)(27, 296)(28, 253)(29, 254)(30, 301)(31, 291)(32, 255)(33, 305)(34, 306)(35, 308)(36, 297)(37, 258)(38, 311)(39, 294)(40, 259)(41, 260)(42, 302)(43, 307)(44, 316)(45, 262)(46, 318)(47, 319)(48, 263)(49, 323)(50, 324)(51, 271)(52, 265)(53, 266)(54, 279)(55, 322)(56, 267)(57, 276)(58, 331)(59, 332)(60, 326)(61, 270)(62, 282)(63, 335)(64, 337)(65, 273)(66, 274)(67, 283)(68, 275)(69, 328)(70, 339)(71, 278)(72, 340)(73, 330)(74, 338)(75, 325)(76, 284)(77, 336)(78, 286)(79, 287)(80, 343)(81, 344)(82, 295)(83, 289)(84, 290)(85, 315)(86, 300)(87, 347)(88, 309)(89, 349)(90, 313)(91, 298)(92, 299)(93, 346)(94, 350)(95, 303)(96, 317)(97, 304)(98, 314)(99, 310)(100, 312)(101, 354)(102, 353)(103, 320)(104, 321)(105, 357)(106, 333)(107, 327)(108, 356)(109, 329)(110, 334)(111, 358)(112, 359)(113, 342)(114, 341)(115, 360)(116, 348)(117, 345)(118, 351)(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, 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 E13.1531
Graph:: simple bipartite
	v = 132 e = 240 f = 84
	degree seq :: [ 2^120, 20^12 ]

E13.1535 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 5, 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 * Y2 * Y3^-1)^2, Y2 * Y1 * R * Y2^3 * R * Y1 * Y2^2, Y1 * Y2^-2 * Y1 * Y2^3 * Y1 * Y2^-2, (Y3 * Y2^-1)^5, Y2^10, (Y2 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1)^2 ]
Map::
	R = (1, 121, 2, 122)(3, 123, 7, 127)(4, 124, 9, 129)(5, 125, 11, 131)(6, 126, 13, 133)(8, 128, 17, 137)(10, 130, 21, 141)(12, 132, 25, 145)(14, 134, 29, 149)(15, 135, 31, 151)(16, 136, 33, 153)(18, 138, 37, 157)(19, 139, 39, 159)(20, 140, 41, 161)(22, 142, 45, 165)(23, 143, 47, 167)(24, 144, 49, 169)(26, 146, 53, 173)(27, 147, 55, 175)(28, 148, 57, 177)(30, 150, 61, 181)(32, 152, 64, 184)(34, 154, 52, 172)(35, 155, 69, 189)(36, 156, 50, 170)(38, 158, 71, 191)(40, 160, 59, 179)(42, 162, 68, 188)(43, 163, 56, 176)(44, 164, 76, 196)(46, 166, 78, 198)(48, 168, 80, 200)(51, 171, 85, 205)(54, 174, 87, 207)(58, 178, 84, 204)(60, 180, 92, 212)(62, 182, 94, 214)(63, 183, 83, 203)(65, 185, 93, 213)(66, 186, 82, 202)(67, 187, 79, 199)(70, 190, 91, 211)(72, 192, 88, 208)(73, 193, 90, 210)(74, 194, 89, 209)(75, 195, 86, 206)(77, 197, 81, 201)(95, 215, 111, 231)(96, 216, 112, 232)(97, 217, 107, 227)(98, 218, 114, 234)(99, 219, 105, 225)(100, 220, 113, 233)(101, 221, 110, 230)(102, 222, 109, 229)(103, 223, 115, 235)(104, 224, 116, 236)(106, 226, 118, 238)(108, 228, 117, 237)(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, 294, 414, 328, 448, 302, 422, 270, 390, 254, 374, 246, 366)(247, 367, 255, 375, 272, 392, 305, 425, 336, 456, 318, 438, 338, 458, 308, 428, 274, 394, 256, 376)(249, 369, 259, 379, 280, 400, 304, 424, 335, 455, 311, 431, 340, 460, 315, 435, 282, 402, 260, 380)(251, 371, 263, 383, 288, 408, 321, 441, 344, 464, 334, 454, 346, 466, 324, 444, 290, 410, 264, 384)(253, 373, 267, 387, 296, 416, 320, 440, 343, 463, 327, 447, 348, 468, 331, 451, 298, 418, 268, 388)(257, 377, 275, 395, 293, 413, 326, 446, 317, 437, 285, 405, 300, 420, 269, 389, 299, 419, 276, 396)(261, 381, 283, 403, 292, 412, 265, 385, 291, 411, 277, 397, 310, 430, 333, 453, 301, 421, 284, 404)(271, 391, 297, 417, 330, 450, 316, 436, 342, 462, 354, 474, 355, 475, 347, 467, 325, 445, 303, 423)(273, 393, 306, 426, 279, 399, 313, 433, 341, 461, 352, 472, 359, 479, 353, 473, 337, 457, 307, 427)(281, 401, 314, 434, 332, 452, 350, 470, 358, 478, 351, 471, 339, 459, 309, 429, 319, 439, 287, 407)(289, 409, 322, 442, 295, 415, 329, 449, 349, 469, 356, 476, 360, 480, 357, 477, 345, 465, 323, 443)
	L = (1, 242)(2, 241)(3, 247)(4, 249)(5, 251)(6, 253)(7, 243)(8, 257)(9, 244)(10, 261)(11, 245)(12, 265)(13, 246)(14, 269)(15, 271)(16, 273)(17, 248)(18, 277)(19, 279)(20, 281)(21, 250)(22, 285)(23, 287)(24, 289)(25, 252)(26, 293)(27, 295)(28, 297)(29, 254)(30, 301)(31, 255)(32, 304)(33, 256)(34, 292)(35, 309)(36, 290)(37, 258)(38, 311)(39, 259)(40, 299)(41, 260)(42, 308)(43, 296)(44, 316)(45, 262)(46, 318)(47, 263)(48, 320)(49, 264)(50, 276)(51, 325)(52, 274)(53, 266)(54, 327)(55, 267)(56, 283)(57, 268)(58, 324)(59, 280)(60, 332)(61, 270)(62, 334)(63, 323)(64, 272)(65, 333)(66, 322)(67, 319)(68, 282)(69, 275)(70, 331)(71, 278)(72, 328)(73, 330)(74, 329)(75, 326)(76, 284)(77, 321)(78, 286)(79, 307)(80, 288)(81, 317)(82, 306)(83, 303)(84, 298)(85, 291)(86, 315)(87, 294)(88, 312)(89, 314)(90, 313)(91, 310)(92, 300)(93, 305)(94, 302)(95, 351)(96, 352)(97, 347)(98, 354)(99, 345)(100, 353)(101, 350)(102, 349)(103, 355)(104, 356)(105, 339)(106, 358)(107, 337)(108, 357)(109, 342)(110, 341)(111, 335)(112, 336)(113, 340)(114, 338)(115, 343)(116, 344)(117, 348)(118, 346)(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, 10, 2, 10 ), ( 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10 ) }
Outer automorphisms :: reflexible
Dual of E13.1536
Graph:: bipartite
	v = 72 e = 240 f = 144
	degree seq :: [ 4^60, 20^12 ]

E13.1536 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 5, 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, (R * Y1)^2, (R * Y3)^2, (Y3 * Y1)^2, Y1^5, (R * Y2 * Y3^-1)^2, (Y3^-2 * Y1^2)^2, Y1^-1 * Y3^2 * Y1^-1 * Y3^-2 * Y1 * Y3^-2, Y3^-1 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3^-3, (Y3 * Y2^-1)^10 ]
Map:: polytopal
	R = (1, 121, 2, 122, 6, 126, 13, 133, 4, 124)(3, 123, 9, 129, 22, 142, 28, 148, 11, 131)(5, 125, 14, 134, 33, 153, 19, 139, 7, 127)(8, 128, 20, 140, 46, 166, 39, 159, 16, 136)(10, 130, 24, 144, 55, 175, 41, 161, 26, 146)(12, 132, 29, 149, 65, 185, 70, 190, 31, 151)(15, 135, 36, 156, 71, 191, 75, 195, 34, 154)(17, 137, 40, 160, 85, 205, 72, 192, 32, 152)(18, 138, 42, 162, 88, 208, 66, 186, 44, 164)(21, 141, 49, 169, 30, 150, 67, 187, 47, 167)(23, 143, 53, 173, 38, 158, 82, 202, 51, 171)(25, 145, 57, 177, 99, 219, 98, 218, 59, 179)(27, 147, 61, 181, 102, 222, 105, 225, 63, 183)(35, 155, 76, 196, 111, 231, 84, 204, 73, 193)(37, 157, 80, 200, 91, 211, 83, 203, 78, 198)(43, 163, 90, 210, 54, 174, 77, 197, 62, 182)(45, 165, 64, 184, 52, 172, 97, 217, 92, 212)(48, 168, 81, 201, 106, 226, 110, 230, 93, 213)(50, 170, 94, 214, 114, 234, 109, 229, 79, 199)(56, 176, 74, 194, 96, 216, 113, 233, 89, 209)(58, 178, 69, 189, 108, 228, 86, 206, 95, 215)(60, 180, 87, 207, 115, 235, 107, 227, 68, 188)(100, 220, 104, 224, 117, 237, 118, 238, 112, 232)(101, 221, 119, 239, 120, 240, 116, 236, 103, 223)(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, 256)(7, 258)(8, 242)(9, 244)(10, 265)(11, 267)(12, 270)(13, 272)(14, 274)(15, 245)(16, 278)(17, 246)(18, 283)(19, 285)(20, 287)(21, 248)(22, 291)(23, 249)(24, 251)(25, 298)(26, 300)(27, 302)(28, 304)(29, 253)(30, 308)(31, 309)(32, 311)(33, 313)(34, 314)(35, 254)(36, 318)(37, 255)(38, 323)(39, 324)(40, 295)(41, 257)(42, 259)(43, 303)(44, 297)(45, 331)(46, 333)(47, 296)(48, 260)(49, 319)(50, 261)(51, 336)(52, 262)(53, 330)(54, 263)(55, 329)(56, 264)(57, 266)(58, 340)(59, 341)(60, 289)(61, 268)(62, 343)(63, 344)(64, 273)(65, 328)(66, 269)(67, 271)(68, 346)(69, 299)(70, 301)(71, 349)(72, 350)(73, 286)(74, 307)(75, 312)(76, 294)(77, 275)(78, 293)(79, 276)(80, 288)(81, 277)(82, 279)(83, 332)(84, 354)(85, 348)(86, 280)(87, 281)(88, 353)(89, 282)(90, 284)(91, 356)(92, 357)(93, 325)(94, 326)(95, 290)(96, 315)(97, 339)(98, 292)(99, 306)(100, 321)(101, 317)(102, 305)(103, 320)(104, 335)(105, 327)(106, 352)(107, 359)(108, 310)(109, 351)(110, 347)(111, 358)(112, 316)(113, 322)(114, 360)(115, 342)(116, 334)(117, 345)(118, 337)(119, 338)(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, 20 ), ( 4, 20, 4, 20, 4, 20, 4, 20, 4, 20 ) }
Outer automorphisms :: reflexible
Dual of E13.1535
Graph:: simple bipartite
	v = 144 e = 240 f = 72
	degree seq :: [ 2^120, 10^24 ]

E13.1537 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 4, 16})
Quotient :: regular
Aut^+ = ((C16 : C2) : C2) : C2 (small group id <128, 71>)
Aut   = $<256, 5102>$ (small group id <256, 5102>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, (T1^-1 * T2)^4, (T1^3 * T2 * T1)^2, (T2 * T1^-4)^2, (T1^3 * T2 * T1)^2, T1^-4 * T2 * T1 * T2 * T1^-1 * T2 * T1 * T2 * T1^-1, (T2 * T1^-2)^4, T1^16 ]
Map:: polytopal non-degenerate
	R = (1, 2, 5, 11, 23, 45, 80, 110, 123, 122, 109, 79, 44, 22, 10, 4)(3, 7, 15, 31, 59, 97, 118, 126, 128, 125, 112, 82, 46, 37, 18, 8)(6, 13, 27, 53, 43, 78, 107, 120, 127, 119, 101, 64, 81, 58, 30, 14)(9, 19, 38, 71, 106, 67, 105, 115, 124, 114, 85, 48, 24, 47, 40, 20)(12, 25, 49, 42, 21, 41, 76, 104, 121, 103, 117, 94, 111, 90, 52, 26)(16, 33, 63, 102, 70, 84, 77, 91, 116, 87, 50, 29, 56, 96, 65, 34)(17, 35, 66, 100, 74, 39, 73, 108, 113, 83, 51, 88, 60, 95, 55, 28)(32, 61, 86, 69, 36, 68, 89, 72, 93, 54, 92, 75, 99, 57, 98, 62)
	L = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 17)(10, 21)(11, 24)(13, 28)(14, 29)(15, 32)(18, 36)(19, 39)(20, 33)(22, 43)(23, 46)(25, 50)(26, 51)(27, 54)(30, 57)(31, 60)(34, 64)(35, 67)(37, 70)(38, 72)(40, 75)(41, 77)(42, 73)(44, 59)(45, 81)(47, 83)(48, 84)(49, 86)(52, 89)(53, 91)(55, 94)(56, 97)(58, 100)(61, 101)(62, 85)(63, 103)(65, 90)(66, 104)(68, 107)(69, 105)(71, 96)(74, 82)(76, 98)(78, 88)(79, 106)(80, 111)(87, 115)(92, 117)(93, 112)(95, 114)(99, 118)(102, 120)(108, 119)(109, 121)(110, 124)(113, 126)(116, 125)(122, 127)(123, 128)
	local type(s) :: { ( 4^16 ) }
Outer automorphisms :: reflexible
Dual of E13.1538
Transitivity :: ET+ VT+ AT+ REG+
Graph:: bipartite
	v = 8 e = 64 f = 32
	degree seq :: [ 16^8 ]

E13.1538 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 4, 16})
Quotient :: regular
Aut^+ = ((C16 : C2) : C2) : C2 (small group id <128, 71>)
Aut   = $<256, 5102>$ (small group id <256, 5102>)
|r| :: 2
Presentation :: [ T2^2, F^2, T1^4, (F * T2)^2, (F * T1)^2, (T2 * T1^2)^4, (T2 * T1 * T2 * T1 * T2 * T1^-2)^2, T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1 * T2 * T1^-1 * T2 * T1^-1, (T1^-1 * T2)^16 ]
Map:: polytopal non-degenerate
	R = (1, 2, 5, 4)(3, 7, 13, 8)(6, 11, 20, 12)(9, 16, 28, 17)(10, 18, 31, 19)(14, 24, 41, 25)(15, 26, 44, 27)(21, 35, 59, 36)(22, 37, 62, 38)(23, 39, 52, 40)(29, 48, 77, 49)(30, 50, 80, 51)(32, 53, 83, 54)(33, 55, 86, 56)(34, 57, 47, 58)(42, 68, 88, 69)(43, 70, 87, 71)(45, 73, 85, 74)(46, 75, 84, 76)(60, 92, 82, 93)(61, 94, 81, 95)(63, 97, 79, 98)(64, 99, 78, 100)(65, 101, 123, 102)(66, 96, 114, 91)(67, 89, 72, 103)(90, 113, 125, 112)(104, 120, 111, 117)(105, 116, 110, 121)(106, 122, 109, 115)(107, 118, 108, 119)(124, 126, 128, 127)
	L = (1, 3)(2, 6)(4, 9)(5, 10)(7, 14)(8, 15)(11, 21)(12, 22)(13, 23)(16, 29)(17, 30)(18, 32)(19, 33)(20, 34)(24, 42)(25, 43)(26, 45)(27, 46)(28, 47)(31, 52)(35, 60)(36, 61)(37, 63)(38, 64)(39, 65)(40, 66)(41, 67)(44, 72)(48, 78)(49, 79)(50, 81)(51, 82)(53, 84)(54, 85)(55, 87)(56, 88)(57, 89)(58, 90)(59, 91)(62, 96)(68, 104)(69, 105)(70, 106)(71, 107)(73, 108)(74, 109)(75, 110)(76, 111)(77, 102)(80, 101)(83, 112)(86, 113)(92, 115)(93, 116)(94, 117)(95, 118)(97, 119)(98, 120)(99, 121)(100, 122)(103, 124)(114, 126)(123, 127)(125, 128)
	local type(s) :: { ( 16^4 ) }
Outer automorphisms :: reflexible
Dual of E13.1537
Transitivity :: ET+ VT+ AT+ REG+
Graph:: simple bipartite
	v = 32 e = 64 f = 8
	degree seq :: [ 4^32 ]

E13.1539 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 4, 16})
Quotient :: edge
Aut^+ = ((C16 : C2) : C2) : C2 (small group id <128, 71>)
Aut   = $<256, 5102>$ (small group id <256, 5102>)
|r| :: 2
Presentation :: [ T1^2, F^2, T2^4, (F * T2)^2, (F * T1)^2, T2^-1 * T1 * T2^2 * T1 * T2^2 * T1 * T2^-2 * T1 * T2^-1, T2 * T1 * T2^-2 * T1 * T2 * T1 * T2^-1 * T1 * T2^-2 * T1 * T2^-1 * T1, T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2^-1 * T1 * T2 * T1 * T2^-1 * T1 * T2 * 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, 78, 48)(30, 50, 81, 51)(31, 52, 84, 53)(33, 55, 89, 56)(36, 60, 96, 61)(38, 63, 99, 64)(41, 68, 49, 69)(44, 73, 110, 74)(46, 75, 111, 76)(54, 86, 62, 87)(57, 91, 121, 92)(59, 93, 122, 94)(65, 101, 82, 102)(67, 103, 80, 104)(70, 106, 79, 107)(72, 108, 77, 109)(83, 112, 100, 113)(85, 114, 98, 115)(88, 117, 97, 118)(90, 119, 95, 120)(105, 123, 127, 124)(116, 125, 128, 126)(129, 130)(131, 135)(132, 137)(133, 138)(134, 140)(136, 143)(139, 148)(141, 151)(142, 153)(144, 156)(145, 158)(146, 159)(147, 161)(149, 164)(150, 166)(152, 169)(154, 172)(155, 174)(157, 177)(160, 182)(162, 185)(163, 187)(165, 190)(167, 193)(168, 195)(170, 198)(171, 200)(173, 186)(175, 205)(176, 207)(178, 208)(179, 210)(180, 211)(181, 213)(183, 216)(184, 218)(188, 223)(189, 225)(191, 226)(192, 228)(194, 222)(196, 214)(197, 233)(199, 221)(201, 227)(202, 224)(203, 217)(204, 212)(206, 220)(209, 219)(215, 244)(229, 246)(230, 242)(231, 241)(232, 247)(234, 248)(235, 240)(236, 243)(237, 245)(238, 252)(239, 251)(249, 254)(250, 253)(255, 256)
	L = (1, 129)(2, 130)(3, 131)(4, 132)(5, 133)(6, 134)(7, 135)(8, 136)(9, 137)(10, 138)(11, 139)(12, 140)(13, 141)(14, 142)(15, 143)(16, 144)(17, 145)(18, 146)(19, 147)(20, 148)(21, 149)(22, 150)(23, 151)(24, 152)(25, 153)(26, 154)(27, 155)(28, 156)(29, 157)(30, 158)(31, 159)(32, 160)(33, 161)(34, 162)(35, 163)(36, 164)(37, 165)(38, 166)(39, 167)(40, 168)(41, 169)(42, 170)(43, 171)(44, 172)(45, 173)(46, 174)(47, 175)(48, 176)(49, 177)(50, 178)(51, 179)(52, 180)(53, 181)(54, 182)(55, 183)(56, 184)(57, 185)(58, 186)(59, 187)(60, 188)(61, 189)(62, 190)(63, 191)(64, 192)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 32, 32 ), ( 32^4 ) }
Outer automorphisms :: reflexible
Dual of E13.1543
Transitivity :: ET+
Graph:: simple bipartite
	v = 96 e = 128 f = 8
	degree seq :: [ 2^64, 4^32 ]

E13.1540 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 4, 16})
Quotient :: edge
Aut^+ = ((C16 : C2) : C2) : C2 (small group id <128, 71>)
Aut   = $<256, 5102>$ (small group id <256, 5102>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (T2 * T1)^2, (F * T1)^2, T1^4, (T2 * T1^-1)^4, (T2^2 * T1^-1 * T2)^2, T1^-1 * T2^-2 * T1 * T2^-2 * T1^-1 * T2 * T1^-1 * T2, T1^-1 * T2^-1 * T1 * T2 * T1^-1 * T2^-6 * T1^-1, T2 * T1^-2 * T2^5 * T1^-1 * T2^-2 * T1^-1, T2 * T1^-1 * T2^-1 * T1 * T2 * T1^-1 * T2 * T1^-2 * T2^2 * T1^-1, T1^-2 * T2^-1 * T1 * T2^-2 * T1 * T2^7 ]
Map:: polytopal non-degenerate
	R = (1, 3, 10, 24, 52, 91, 108, 125, 128, 124, 101, 100, 62, 32, 14, 5)(2, 7, 17, 38, 74, 115, 82, 121, 127, 122, 93, 120, 80, 44, 20, 8)(4, 12, 27, 56, 96, 117, 78, 116, 126, 112, 71, 111, 86, 48, 22, 9)(6, 15, 33, 64, 104, 97, 60, 92, 123, 88, 49, 87, 110, 70, 36, 16)(11, 26, 54, 31, 61, 99, 103, 65, 105, 68, 35, 67, 107, 89, 50, 23)(13, 29, 59, 98, 102, 63, 34, 66, 106, 69, 109, 90, 51, 25, 53, 30)(18, 40, 76, 43, 79, 119, 95, 57, 83, 46, 21, 45, 81, 113, 72, 37)(19, 41, 77, 118, 94, 55, 28, 58, 85, 47, 84, 114, 73, 39, 75, 42)(129, 130, 134, 132)(131, 137, 149, 139)(133, 141, 146, 135)(136, 147, 162, 143)(138, 151, 177, 153)(140, 144, 163, 156)(142, 159, 188, 157)(145, 165, 199, 167)(148, 171, 206, 169)(150, 175, 210, 173)(152, 179, 207, 172)(154, 174, 194, 170)(155, 183, 221, 185)(158, 186, 196, 168)(160, 184, 223, 189)(161, 191, 229, 193)(164, 197, 236, 195)(166, 201, 237, 198)(176, 192, 231, 212)(178, 205, 245, 215)(180, 208, 232, 214)(181, 216, 249, 213)(182, 203, 240, 220)(187, 225, 248, 222)(190, 202, 238, 224)(200, 235, 219, 239)(204, 233, 252, 244)(209, 243, 228, 230)(211, 250, 253, 234)(217, 241, 226, 246)(218, 242, 227, 247)(251, 254, 256, 255)
	L = (1, 129)(2, 130)(3, 131)(4, 132)(5, 133)(6, 134)(7, 135)(8, 136)(9, 137)(10, 138)(11, 139)(12, 140)(13, 141)(14, 142)(15, 143)(16, 144)(17, 145)(18, 146)(19, 147)(20, 148)(21, 149)(22, 150)(23, 151)(24, 152)(25, 153)(26, 154)(27, 155)(28, 156)(29, 157)(30, 158)(31, 159)(32, 160)(33, 161)(34, 162)(35, 163)(36, 164)(37, 165)(38, 166)(39, 167)(40, 168)(41, 169)(42, 170)(43, 171)(44, 172)(45, 173)(46, 174)(47, 175)(48, 176)(49, 177)(50, 178)(51, 179)(52, 180)(53, 181)(54, 182)(55, 183)(56, 184)(57, 185)(58, 186)(59, 187)(60, 188)(61, 189)(62, 190)(63, 191)(64, 192)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4^4 ), ( 4^16 ) }
Outer automorphisms :: reflexible
Dual of E13.1544
Transitivity :: ET+
Graph:: simple bipartite
	v = 40 e = 128 f = 64
	degree seq :: [ 4^32, 16^8 ]

E13.1541 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 4, 16})
Quotient :: edge
Aut^+ = ((C16 : C2) : C2) : C2 (small group id <128, 71>)
Aut   = $<256, 5102>$ (small group id <256, 5102>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, (T2 * T1^-1)^4, (T1^-2 * T2 * T1^-2)^2, (T1^3 * T2 * T1)^2, (T2 * T1^-2)^4, T2 * T1^3 * T2 * T1^-2 * T2 * T1 * T2 * T1^-2, T1^16 ]
Map:: polytopal
	R = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 17)(10, 21)(11, 24)(13, 28)(14, 29)(15, 32)(18, 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, 101)(62, 85)(63, 103)(65, 90)(66, 104)(68, 107)(69, 105)(71, 96)(74, 82)(76, 98)(78, 88)(79, 106)(80, 111)(87, 115)(92, 117)(93, 112)(95, 114)(99, 118)(102, 120)(108, 119)(109, 121)(110, 124)(113, 126)(116, 125)(122, 127)(123, 128)(129, 130, 133, 139, 151, 173, 208, 238, 251, 250, 237, 207, 172, 150, 138, 132)(131, 135, 143, 159, 187, 225, 246, 254, 256, 253, 240, 210, 174, 165, 146, 136)(134, 141, 155, 181, 171, 206, 235, 248, 255, 247, 229, 192, 209, 186, 158, 142)(137, 147, 166, 199, 234, 195, 233, 243, 252, 242, 213, 176, 152, 175, 168, 148)(140, 153, 177, 170, 149, 169, 204, 232, 249, 231, 245, 222, 239, 218, 180, 154)(144, 161, 191, 230, 198, 212, 205, 219, 244, 215, 178, 157, 184, 224, 193, 162)(145, 163, 194, 228, 202, 167, 201, 236, 241, 211, 179, 216, 188, 223, 183, 156)(160, 189, 214, 197, 164, 196, 217, 200, 221, 182, 220, 203, 227, 185, 226, 190)
	L = (1, 129)(2, 130)(3, 131)(4, 132)(5, 133)(6, 134)(7, 135)(8, 136)(9, 137)(10, 138)(11, 139)(12, 140)(13, 141)(14, 142)(15, 143)(16, 144)(17, 145)(18, 146)(19, 147)(20, 148)(21, 149)(22, 150)(23, 151)(24, 152)(25, 153)(26, 154)(27, 155)(28, 156)(29, 157)(30, 158)(31, 159)(32, 160)(33, 161)(34, 162)(35, 163)(36, 164)(37, 165)(38, 166)(39, 167)(40, 168)(41, 169)(42, 170)(43, 171)(44, 172)(45, 173)(46, 174)(47, 175)(48, 176)(49, 177)(50, 178)(51, 179)(52, 180)(53, 181)(54, 182)(55, 183)(56, 184)(57, 185)(58, 186)(59, 187)(60, 188)(61, 189)(62, 190)(63, 191)(64, 192)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 8, 8 ), ( 8^16 ) }
Outer automorphisms :: reflexible
Dual of E13.1542
Transitivity :: ET+
Graph:: simple bipartite
	v = 72 e = 128 f = 32
	degree seq :: [ 2^64, 16^8 ]

E13.1542 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 4, 16})
Quotient :: loop
Aut^+ = ((C16 : C2) : C2) : C2 (small group id <128, 71>)
Aut   = $<256, 5102>$ (small group id <256, 5102>)
|r| :: 2
Presentation :: [ T1^2, F^2, T2^4, (F * T2)^2, (F * T1)^2, T2^-1 * T1 * T2^2 * T1 * T2^2 * T1 * T2^-2 * T1 * T2^-1, T2 * T1 * T2^-2 * T1 * T2 * T1 * T2^-1 * T1 * T2^-2 * T1 * T2^-1 * T1, T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2^-1 * T1 * T2 * T1 * T2^-1 * T1 * T2 * T1 * T2 ]
Map::
	R = (1, 129, 3, 131, 8, 136, 4, 132)(2, 130, 5, 133, 11, 139, 6, 134)(7, 135, 13, 141, 24, 152, 14, 142)(9, 137, 16, 144, 29, 157, 17, 145)(10, 138, 18, 146, 32, 160, 19, 147)(12, 140, 21, 149, 37, 165, 22, 150)(15, 143, 26, 154, 45, 173, 27, 155)(20, 148, 34, 162, 58, 186, 35, 163)(23, 151, 39, 167, 66, 194, 40, 168)(25, 153, 42, 170, 71, 199, 43, 171)(28, 156, 47, 175, 78, 206, 48, 176)(30, 158, 50, 178, 81, 209, 51, 179)(31, 159, 52, 180, 84, 212, 53, 181)(33, 161, 55, 183, 89, 217, 56, 184)(36, 164, 60, 188, 96, 224, 61, 189)(38, 166, 63, 191, 99, 227, 64, 192)(41, 169, 68, 196, 49, 177, 69, 197)(44, 172, 73, 201, 110, 238, 74, 202)(46, 174, 75, 203, 111, 239, 76, 204)(54, 182, 86, 214, 62, 190, 87, 215)(57, 185, 91, 219, 121, 249, 92, 220)(59, 187, 93, 221, 122, 250, 94, 222)(65, 193, 101, 229, 82, 210, 102, 230)(67, 195, 103, 231, 80, 208, 104, 232)(70, 198, 106, 234, 79, 207, 107, 235)(72, 200, 108, 236, 77, 205, 109, 237)(83, 211, 112, 240, 100, 228, 113, 241)(85, 213, 114, 242, 98, 226, 115, 243)(88, 216, 117, 245, 97, 225, 118, 246)(90, 218, 119, 247, 95, 223, 120, 248)(105, 233, 123, 251, 127, 255, 124, 252)(116, 244, 125, 253, 128, 256, 126, 254)
	L = (1, 130)(2, 129)(3, 135)(4, 137)(5, 138)(6, 140)(7, 131)(8, 143)(9, 132)(10, 133)(11, 148)(12, 134)(13, 151)(14, 153)(15, 136)(16, 156)(17, 158)(18, 159)(19, 161)(20, 139)(21, 164)(22, 166)(23, 141)(24, 169)(25, 142)(26, 172)(27, 174)(28, 144)(29, 177)(30, 145)(31, 146)(32, 182)(33, 147)(34, 185)(35, 187)(36, 149)(37, 190)(38, 150)(39, 193)(40, 195)(41, 152)(42, 198)(43, 200)(44, 154)(45, 186)(46, 155)(47, 205)(48, 207)(49, 157)(50, 208)(51, 210)(52, 211)(53, 213)(54, 160)(55, 216)(56, 218)(57, 162)(58, 173)(59, 163)(60, 223)(61, 225)(62, 165)(63, 226)(64, 228)(65, 167)(66, 222)(67, 168)(68, 214)(69, 233)(70, 170)(71, 221)(72, 171)(73, 227)(74, 224)(75, 217)(76, 212)(77, 175)(78, 220)(79, 176)(80, 178)(81, 219)(82, 179)(83, 180)(84, 204)(85, 181)(86, 196)(87, 244)(88, 183)(89, 203)(90, 184)(91, 209)(92, 206)(93, 199)(94, 194)(95, 188)(96, 202)(97, 189)(98, 191)(99, 201)(100, 192)(101, 246)(102, 242)(103, 241)(104, 247)(105, 197)(106, 248)(107, 240)(108, 243)(109, 245)(110, 252)(111, 251)(112, 235)(113, 231)(114, 230)(115, 236)(116, 215)(117, 237)(118, 229)(119, 232)(120, 234)(121, 254)(122, 253)(123, 239)(124, 238)(125, 250)(126, 249)(127, 256)(128, 255)
	local type(s) :: { ( 2, 16, 2, 16, 2, 16, 2, 16 ) }
Outer automorphisms :: reflexible
Dual of E13.1541
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 32 e = 128 f = 72
	degree seq :: [ 8^32 ]

E13.1543 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 4, 16})
Quotient :: loop
Aut^+ = ((C16 : C2) : C2) : C2 (small group id <128, 71>)
Aut   = $<256, 5102>$ (small group id <256, 5102>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (T2 * T1)^2, (F * T1)^2, T1^4, (T2 * T1^-1)^4, (T2^2 * T1^-1 * T2)^2, T1^-1 * T2^-2 * T1 * T2^-2 * T1^-1 * T2 * T1^-1 * T2, T1^-1 * T2^-1 * T1 * T2 * T1^-1 * T2^-6 * T1^-1, T2 * T1^-2 * T2^5 * T1^-1 * T2^-2 * T1^-1, T2 * T1^-1 * T2^-1 * T1 * T2 * T1^-1 * T2 * T1^-2 * T2^2 * T1^-1, T1^-2 * T2^-1 * T1 * T2^-2 * T1 * T2^7 ]
Map::
	R = (1, 129, 3, 131, 10, 138, 24, 152, 52, 180, 91, 219, 108, 236, 125, 253, 128, 256, 124, 252, 101, 229, 100, 228, 62, 190, 32, 160, 14, 142, 5, 133)(2, 130, 7, 135, 17, 145, 38, 166, 74, 202, 115, 243, 82, 210, 121, 249, 127, 255, 122, 250, 93, 221, 120, 248, 80, 208, 44, 172, 20, 148, 8, 136)(4, 132, 12, 140, 27, 155, 56, 184, 96, 224, 117, 245, 78, 206, 116, 244, 126, 254, 112, 240, 71, 199, 111, 239, 86, 214, 48, 176, 22, 150, 9, 137)(6, 134, 15, 143, 33, 161, 64, 192, 104, 232, 97, 225, 60, 188, 92, 220, 123, 251, 88, 216, 49, 177, 87, 215, 110, 238, 70, 198, 36, 164, 16, 144)(11, 139, 26, 154, 54, 182, 31, 159, 61, 189, 99, 227, 103, 231, 65, 193, 105, 233, 68, 196, 35, 163, 67, 195, 107, 235, 89, 217, 50, 178, 23, 151)(13, 141, 29, 157, 59, 187, 98, 226, 102, 230, 63, 191, 34, 162, 66, 194, 106, 234, 69, 197, 109, 237, 90, 218, 51, 179, 25, 153, 53, 181, 30, 158)(18, 146, 40, 168, 76, 204, 43, 171, 79, 207, 119, 247, 95, 223, 57, 185, 83, 211, 46, 174, 21, 149, 45, 173, 81, 209, 113, 241, 72, 200, 37, 165)(19, 147, 41, 169, 77, 205, 118, 246, 94, 222, 55, 183, 28, 156, 58, 186, 85, 213, 47, 175, 84, 212, 114, 242, 73, 201, 39, 167, 75, 203, 42, 170)
	L = (1, 130)(2, 134)(3, 137)(4, 129)(5, 141)(6, 132)(7, 133)(8, 147)(9, 149)(10, 151)(11, 131)(12, 144)(13, 146)(14, 159)(15, 136)(16, 163)(17, 165)(18, 135)(19, 162)(20, 171)(21, 139)(22, 175)(23, 177)(24, 179)(25, 138)(26, 174)(27, 183)(28, 140)(29, 142)(30, 186)(31, 188)(32, 184)(33, 191)(34, 143)(35, 156)(36, 197)(37, 199)(38, 201)(39, 145)(40, 158)(41, 148)(42, 154)(43, 206)(44, 152)(45, 150)(46, 194)(47, 210)(48, 192)(49, 153)(50, 205)(51, 207)(52, 208)(53, 216)(54, 203)(55, 221)(56, 223)(57, 155)(58, 196)(59, 225)(60, 157)(61, 160)(62, 202)(63, 229)(64, 231)(65, 161)(66, 170)(67, 164)(68, 168)(69, 236)(70, 166)(71, 167)(72, 235)(73, 237)(74, 238)(75, 240)(76, 233)(77, 245)(78, 169)(79, 172)(80, 232)(81, 243)(82, 173)(83, 250)(84, 176)(85, 181)(86, 180)(87, 178)(88, 249)(89, 241)(90, 242)(91, 239)(92, 182)(93, 185)(94, 187)(95, 189)(96, 190)(97, 248)(98, 246)(99, 247)(100, 230)(101, 193)(102, 209)(103, 212)(104, 214)(105, 252)(106, 211)(107, 219)(108, 195)(109, 198)(110, 224)(111, 200)(112, 220)(113, 226)(114, 227)(115, 228)(116, 204)(117, 215)(118, 217)(119, 218)(120, 222)(121, 213)(122, 253)(123, 254)(124, 244)(125, 234)(126, 256)(127, 251)(128, 255)
	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 E13.1539
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 8 e = 128 f = 96
	degree seq :: [ 32^8 ]

E13.1544 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 4, 16})
Quotient :: loop
Aut^+ = ((C16 : C2) : C2) : C2 (small group id <128, 71>)
Aut   = $<256, 5102>$ (small group id <256, 5102>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, (T2 * T1^-1)^4, (T1^-2 * T2 * T1^-2)^2, (T1^3 * T2 * T1)^2, (T2 * T1^-2)^4, T2 * T1^3 * T2 * T1^-2 * T2 * T1 * T2 * T1^-2, T1^16 ]
Map:: polytopal non-degenerate
	R = (1, 129, 3, 131)(2, 130, 6, 134)(4, 132, 9, 137)(5, 133, 12, 140)(7, 135, 16, 144)(8, 136, 17, 145)(10, 138, 21, 149)(11, 139, 24, 152)(13, 141, 28, 156)(14, 142, 29, 157)(15, 143, 32, 160)(18, 146, 36, 164)(19, 147, 39, 167)(20, 148, 33, 161)(22, 150, 43, 171)(23, 151, 46, 174)(25, 153, 50, 178)(26, 154, 51, 179)(27, 155, 54, 182)(30, 158, 57, 185)(31, 159, 60, 188)(34, 162, 64, 192)(35, 163, 67, 195)(37, 165, 70, 198)(38, 166, 72, 200)(40, 168, 75, 203)(41, 169, 77, 205)(42, 170, 73, 201)(44, 172, 59, 187)(45, 173, 81, 209)(47, 175, 83, 211)(48, 176, 84, 212)(49, 177, 86, 214)(52, 180, 89, 217)(53, 181, 91, 219)(55, 183, 94, 222)(56, 184, 97, 225)(58, 186, 100, 228)(61, 189, 101, 229)(62, 190, 85, 213)(63, 191, 103, 231)(65, 193, 90, 218)(66, 194, 104, 232)(68, 196, 107, 235)(69, 197, 105, 233)(71, 199, 96, 224)(74, 202, 82, 210)(76, 204, 98, 226)(78, 206, 88, 216)(79, 207, 106, 234)(80, 208, 111, 239)(87, 215, 115, 243)(92, 220, 117, 245)(93, 221, 112, 240)(95, 223, 114, 242)(99, 227, 118, 246)(102, 230, 120, 248)(108, 236, 119, 247)(109, 237, 121, 249)(110, 238, 124, 252)(113, 241, 126, 254)(116, 244, 125, 253)(122, 250, 127, 255)(123, 251, 128, 256)
	L = (1, 130)(2, 133)(3, 135)(4, 129)(5, 139)(6, 141)(7, 143)(8, 131)(9, 147)(10, 132)(11, 151)(12, 153)(13, 155)(14, 134)(15, 159)(16, 161)(17, 163)(18, 136)(19, 166)(20, 137)(21, 169)(22, 138)(23, 173)(24, 175)(25, 177)(26, 140)(27, 181)(28, 145)(29, 184)(30, 142)(31, 187)(32, 189)(33, 191)(34, 144)(35, 194)(36, 196)(37, 146)(38, 199)(39, 201)(40, 148)(41, 204)(42, 149)(43, 206)(44, 150)(45, 208)(46, 165)(47, 168)(48, 152)(49, 170)(50, 157)(51, 216)(52, 154)(53, 171)(54, 220)(55, 156)(56, 224)(57, 226)(58, 158)(59, 225)(60, 223)(61, 214)(62, 160)(63, 230)(64, 209)(65, 162)(66, 228)(67, 233)(68, 217)(69, 164)(70, 212)(71, 234)(72, 221)(73, 236)(74, 167)(75, 227)(76, 232)(77, 219)(78, 235)(79, 172)(80, 238)(81, 186)(82, 174)(83, 179)(84, 205)(85, 176)(86, 197)(87, 178)(88, 188)(89, 200)(90, 180)(91, 244)(92, 203)(93, 182)(94, 239)(95, 183)(96, 193)(97, 246)(98, 190)(99, 185)(100, 202)(101, 192)(102, 198)(103, 245)(104, 249)(105, 243)(106, 195)(107, 248)(108, 241)(109, 207)(110, 251)(111, 218)(112, 210)(113, 211)(114, 213)(115, 252)(116, 215)(117, 222)(118, 254)(119, 229)(120, 255)(121, 231)(122, 237)(123, 250)(124, 242)(125, 240)(126, 256)(127, 247)(128, 253)
	local type(s) :: { ( 4, 16, 4, 16 ) }
Outer automorphisms :: reflexible
Dual of E13.1540
Transitivity :: ET+ VT+ AT
Graph:: simple bipartite
	v = 64 e = 128 f = 40
	degree seq :: [ 4^64 ]

E13.1545 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 16})
Quotient :: dipole
Aut^+ = ((C16 : C2) : C2) : C2 (small group id <128, 71>)
Aut   = $<256, 5102>$ (small group id <256, 5102>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, Y2^4, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, Y1 * Y2^2 * Y1 * R * Y2^2 * R, Y2^-1 * R * Y2^2 * R * Y2^-2 * Y1 * Y2^-2 * Y1 * Y2^-1, Y2^-1 * Y1 * Y2^2 * Y1 * Y2^-2 * R * Y2^-2 * R * Y2^-1, Y2^-1 * Y1 * Y2 * Y1 * Y2^-1 * R * Y2^2 * R * Y2^-1 * Y1 * Y2 * Y1 * Y2^-1, Y2 * Y1 * Y2^-1 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1, (Y3 * Y2^-1)^16 ]
Map::
	R = (1, 129, 2, 130)(3, 131, 7, 135)(4, 132, 9, 137)(5, 133, 10, 138)(6, 134, 12, 140)(8, 136, 15, 143)(11, 139, 20, 148)(13, 141, 23, 151)(14, 142, 25, 153)(16, 144, 28, 156)(17, 145, 30, 158)(18, 146, 31, 159)(19, 147, 33, 161)(21, 149, 36, 164)(22, 150, 38, 166)(24, 152, 41, 169)(26, 154, 44, 172)(27, 155, 46, 174)(29, 157, 49, 177)(32, 160, 54, 182)(34, 162, 57, 185)(35, 163, 59, 187)(37, 165, 62, 190)(39, 167, 65, 193)(40, 168, 67, 195)(42, 170, 70, 198)(43, 171, 72, 200)(45, 173, 58, 186)(47, 175, 77, 205)(48, 176, 79, 207)(50, 178, 80, 208)(51, 179, 82, 210)(52, 180, 83, 211)(53, 181, 85, 213)(55, 183, 88, 216)(56, 184, 90, 218)(60, 188, 95, 223)(61, 189, 97, 225)(63, 191, 98, 226)(64, 192, 100, 228)(66, 194, 94, 222)(68, 196, 86, 214)(69, 197, 105, 233)(71, 199, 93, 221)(73, 201, 99, 227)(74, 202, 96, 224)(75, 203, 89, 217)(76, 204, 84, 212)(78, 206, 92, 220)(81, 209, 91, 219)(87, 215, 116, 244)(101, 229, 118, 246)(102, 230, 114, 242)(103, 231, 113, 241)(104, 232, 119, 247)(106, 234, 120, 248)(107, 235, 112, 240)(108, 236, 115, 243)(109, 237, 117, 245)(110, 238, 124, 252)(111, 239, 123, 251)(121, 249, 126, 254)(122, 250, 125, 253)(127, 255, 128, 256)(257, 385, 259, 387, 264, 392, 260, 388)(258, 386, 261, 389, 267, 395, 262, 390)(263, 391, 269, 397, 280, 408, 270, 398)(265, 393, 272, 400, 285, 413, 273, 401)(266, 394, 274, 402, 288, 416, 275, 403)(268, 396, 277, 405, 293, 421, 278, 406)(271, 399, 282, 410, 301, 429, 283, 411)(276, 404, 290, 418, 314, 442, 291, 419)(279, 407, 295, 423, 322, 450, 296, 424)(281, 409, 298, 426, 327, 455, 299, 427)(284, 412, 303, 431, 334, 462, 304, 432)(286, 414, 306, 434, 337, 465, 307, 435)(287, 415, 308, 436, 340, 468, 309, 437)(289, 417, 311, 439, 345, 473, 312, 440)(292, 420, 316, 444, 352, 480, 317, 445)(294, 422, 319, 447, 355, 483, 320, 448)(297, 425, 324, 452, 305, 433, 325, 453)(300, 428, 329, 457, 366, 494, 330, 458)(302, 430, 331, 459, 367, 495, 332, 460)(310, 438, 342, 470, 318, 446, 343, 471)(313, 441, 347, 475, 377, 505, 348, 476)(315, 443, 349, 477, 378, 506, 350, 478)(321, 449, 357, 485, 338, 466, 358, 486)(323, 451, 359, 487, 336, 464, 360, 488)(326, 454, 362, 490, 335, 463, 363, 491)(328, 456, 364, 492, 333, 461, 365, 493)(339, 467, 368, 496, 356, 484, 369, 497)(341, 469, 370, 498, 354, 482, 371, 499)(344, 472, 373, 501, 353, 481, 374, 502)(346, 474, 375, 503, 351, 479, 376, 504)(361, 489, 379, 507, 383, 511, 380, 508)(372, 500, 381, 509, 384, 512, 382, 510)
	L = (1, 258)(2, 257)(3, 263)(4, 265)(5, 266)(6, 268)(7, 259)(8, 271)(9, 260)(10, 261)(11, 276)(12, 262)(13, 279)(14, 281)(15, 264)(16, 284)(17, 286)(18, 287)(19, 289)(20, 267)(21, 292)(22, 294)(23, 269)(24, 297)(25, 270)(26, 300)(27, 302)(28, 272)(29, 305)(30, 273)(31, 274)(32, 310)(33, 275)(34, 313)(35, 315)(36, 277)(37, 318)(38, 278)(39, 321)(40, 323)(41, 280)(42, 326)(43, 328)(44, 282)(45, 314)(46, 283)(47, 333)(48, 335)(49, 285)(50, 336)(51, 338)(52, 339)(53, 341)(54, 288)(55, 344)(56, 346)(57, 290)(58, 301)(59, 291)(60, 351)(61, 353)(62, 293)(63, 354)(64, 356)(65, 295)(66, 350)(67, 296)(68, 342)(69, 361)(70, 298)(71, 349)(72, 299)(73, 355)(74, 352)(75, 345)(76, 340)(77, 303)(78, 348)(79, 304)(80, 306)(81, 347)(82, 307)(83, 308)(84, 332)(85, 309)(86, 324)(87, 372)(88, 311)(89, 331)(90, 312)(91, 337)(92, 334)(93, 327)(94, 322)(95, 316)(96, 330)(97, 317)(98, 319)(99, 329)(100, 320)(101, 374)(102, 370)(103, 369)(104, 375)(105, 325)(106, 376)(107, 368)(108, 371)(109, 373)(110, 380)(111, 379)(112, 363)(113, 359)(114, 358)(115, 364)(116, 343)(117, 365)(118, 357)(119, 360)(120, 362)(121, 382)(122, 381)(123, 367)(124, 366)(125, 378)(126, 377)(127, 384)(128, 383)(129, 385)(130, 386)(131, 387)(132, 388)(133, 389)(134, 390)(135, 391)(136, 392)(137, 393)(138, 394)(139, 395)(140, 396)(141, 397)(142, 398)(143, 399)(144, 400)(145, 401)(146, 402)(147, 403)(148, 404)(149, 405)(150, 406)(151, 407)(152, 408)(153, 409)(154, 410)(155, 411)(156, 412)(157, 413)(158, 414)(159, 415)(160, 416)(161, 417)(162, 418)(163, 419)(164, 420)(165, 421)(166, 422)(167, 423)(168, 424)(169, 425)(170, 426)(171, 427)(172, 428)(173, 429)(174, 430)(175, 431)(176, 432)(177, 433)(178, 434)(179, 435)(180, 436)(181, 437)(182, 438)(183, 439)(184, 440)(185, 441)(186, 442)(187, 443)(188, 444)(189, 445)(190, 446)(191, 447)(192, 448)(193, 449)(194, 450)(195, 451)(196, 452)(197, 453)(198, 454)(199, 455)(200, 456)(201, 457)(202, 458)(203, 459)(204, 460)(205, 461)(206, 462)(207, 463)(208, 464)(209, 465)(210, 466)(211, 467)(212, 468)(213, 469)(214, 470)(215, 471)(216, 472)(217, 473)(218, 474)(219, 475)(220, 476)(221, 477)(222, 478)(223, 479)(224, 480)(225, 481)(226, 482)(227, 483)(228, 484)(229, 485)(230, 486)(231, 487)(232, 488)(233, 489)(234, 490)(235, 491)(236, 492)(237, 493)(238, 494)(239, 495)(240, 496)(241, 497)(242, 498)(243, 499)(244, 500)(245, 501)(246, 502)(247, 503)(248, 504)(249, 505)(250, 506)(251, 507)(252, 508)(253, 509)(254, 510)(255, 511)(256, 512)
	local type(s) :: { ( 2, 32, 2, 32 ), ( 2, 32, 2, 32, 2, 32, 2, 32 ) }
Outer automorphisms :: reflexible
Dual of E13.1548
Graph:: bipartite
	v = 96 e = 256 f = 136
	degree seq :: [ 4^64, 8^32 ]

E13.1546 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 16})
Quotient :: dipole
Aut^+ = ((C16 : C2) : C2) : C2 (small group id <128, 71>)
Aut   = $<256, 5102>$ (small group id <256, 5102>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y2^-1, Y1^4, R * Y2 * R * Y3, (R * Y1)^2, (Y2 * Y1)^2, (Y3^-1 * Y1^-1)^2, (Y2^3 * Y1^-1)^2, (Y2 * Y1^-1)^4, Y1^-1 * Y2^-2 * Y1 * Y2^-2 * Y1^-1 * Y2 * Y1^-1 * Y2, Y2 * Y1^-2 * Y2^5 * Y1^-1 * Y2^-2 * Y1^-1, Y1^-1 * Y2^-1 * Y1 * Y2 * Y1^-1 * Y2^-6 * Y1^-1, Y2 * Y1^-1 * Y2^-1 * Y1 * Y2 * Y1^-1 * Y2 * Y1^-2 * Y2^2 * Y1^-1, Y1^-2 * Y2^-1 * Y1 * Y2^-2 * Y1 * Y2^7 ]
Map::
	R = (1, 129, 2, 130, 6, 134, 4, 132)(3, 131, 9, 137, 21, 149, 11, 139)(5, 133, 13, 141, 18, 146, 7, 135)(8, 136, 19, 147, 34, 162, 15, 143)(10, 138, 23, 151, 49, 177, 25, 153)(12, 140, 16, 144, 35, 163, 28, 156)(14, 142, 31, 159, 60, 188, 29, 157)(17, 145, 37, 165, 71, 199, 39, 167)(20, 148, 43, 171, 78, 206, 41, 169)(22, 150, 47, 175, 82, 210, 45, 173)(24, 152, 51, 179, 79, 207, 44, 172)(26, 154, 46, 174, 66, 194, 42, 170)(27, 155, 55, 183, 93, 221, 57, 185)(30, 158, 58, 186, 68, 196, 40, 168)(32, 160, 56, 184, 95, 223, 61, 189)(33, 161, 63, 191, 101, 229, 65, 193)(36, 164, 69, 197, 108, 236, 67, 195)(38, 166, 73, 201, 109, 237, 70, 198)(48, 176, 64, 192, 103, 231, 84, 212)(50, 178, 77, 205, 117, 245, 87, 215)(52, 180, 80, 208, 104, 232, 86, 214)(53, 181, 88, 216, 121, 249, 85, 213)(54, 182, 75, 203, 112, 240, 92, 220)(59, 187, 97, 225, 120, 248, 94, 222)(62, 190, 74, 202, 110, 238, 96, 224)(72, 200, 107, 235, 91, 219, 111, 239)(76, 204, 105, 233, 124, 252, 116, 244)(81, 209, 115, 243, 100, 228, 102, 230)(83, 211, 122, 250, 125, 253, 106, 234)(89, 217, 113, 241, 98, 226, 118, 246)(90, 218, 114, 242, 99, 227, 119, 247)(123, 251, 126, 254, 128, 256, 127, 255)(257, 385, 259, 387, 266, 394, 280, 408, 308, 436, 347, 475, 364, 492, 381, 509, 384, 512, 380, 508, 357, 485, 356, 484, 318, 446, 288, 416, 270, 398, 261, 389)(258, 386, 263, 391, 273, 401, 294, 422, 330, 458, 371, 499, 338, 466, 377, 505, 383, 511, 378, 506, 349, 477, 376, 504, 336, 464, 300, 428, 276, 404, 264, 392)(260, 388, 268, 396, 283, 411, 312, 440, 352, 480, 373, 501, 334, 462, 372, 500, 382, 510, 368, 496, 327, 455, 367, 495, 342, 470, 304, 432, 278, 406, 265, 393)(262, 390, 271, 399, 289, 417, 320, 448, 360, 488, 353, 481, 316, 444, 348, 476, 379, 507, 344, 472, 305, 433, 343, 471, 366, 494, 326, 454, 292, 420, 272, 400)(267, 395, 282, 410, 310, 438, 287, 415, 317, 445, 355, 483, 359, 487, 321, 449, 361, 489, 324, 452, 291, 419, 323, 451, 363, 491, 345, 473, 306, 434, 279, 407)(269, 397, 285, 413, 315, 443, 354, 482, 358, 486, 319, 447, 290, 418, 322, 450, 362, 490, 325, 453, 365, 493, 346, 474, 307, 435, 281, 409, 309, 437, 286, 414)(274, 402, 296, 424, 332, 460, 299, 427, 335, 463, 375, 503, 351, 479, 313, 441, 339, 467, 302, 430, 277, 405, 301, 429, 337, 465, 369, 497, 328, 456, 293, 421)(275, 403, 297, 425, 333, 461, 374, 502, 350, 478, 311, 439, 284, 412, 314, 442, 341, 469, 303, 431, 340, 468, 370, 498, 329, 457, 295, 423, 331, 459, 298, 426)
	L = (1, 259)(2, 263)(3, 266)(4, 268)(5, 257)(6, 271)(7, 273)(8, 258)(9, 260)(10, 280)(11, 282)(12, 283)(13, 285)(14, 261)(15, 289)(16, 262)(17, 294)(18, 296)(19, 297)(20, 264)(21, 301)(22, 265)(23, 267)(24, 308)(25, 309)(26, 310)(27, 312)(28, 314)(29, 315)(30, 269)(31, 317)(32, 270)(33, 320)(34, 322)(35, 323)(36, 272)(37, 274)(38, 330)(39, 331)(40, 332)(41, 333)(42, 275)(43, 335)(44, 276)(45, 337)(46, 277)(47, 340)(48, 278)(49, 343)(50, 279)(51, 281)(52, 347)(53, 286)(54, 287)(55, 284)(56, 352)(57, 339)(58, 341)(59, 354)(60, 348)(61, 355)(62, 288)(63, 290)(64, 360)(65, 361)(66, 362)(67, 363)(68, 291)(69, 365)(70, 292)(71, 367)(72, 293)(73, 295)(74, 371)(75, 298)(76, 299)(77, 374)(78, 372)(79, 375)(80, 300)(81, 369)(82, 377)(83, 302)(84, 370)(85, 303)(86, 304)(87, 366)(88, 305)(89, 306)(90, 307)(91, 364)(92, 379)(93, 376)(94, 311)(95, 313)(96, 373)(97, 316)(98, 358)(99, 359)(100, 318)(101, 356)(102, 319)(103, 321)(104, 353)(105, 324)(106, 325)(107, 345)(108, 381)(109, 346)(110, 326)(111, 342)(112, 327)(113, 328)(114, 329)(115, 338)(116, 382)(117, 334)(118, 350)(119, 351)(120, 336)(121, 383)(122, 349)(123, 344)(124, 357)(125, 384)(126, 368)(127, 378)(128, 380)(129, 385)(130, 386)(131, 387)(132, 388)(133, 389)(134, 390)(135, 391)(136, 392)(137, 393)(138, 394)(139, 395)(140, 396)(141, 397)(142, 398)(143, 399)(144, 400)(145, 401)(146, 402)(147, 403)(148, 404)(149, 405)(150, 406)(151, 407)(152, 408)(153, 409)(154, 410)(155, 411)(156, 412)(157, 413)(158, 414)(159, 415)(160, 416)(161, 417)(162, 418)(163, 419)(164, 420)(165, 421)(166, 422)(167, 423)(168, 424)(169, 425)(170, 426)(171, 427)(172, 428)(173, 429)(174, 430)(175, 431)(176, 432)(177, 433)(178, 434)(179, 435)(180, 436)(181, 437)(182, 438)(183, 439)(184, 440)(185, 441)(186, 442)(187, 443)(188, 444)(189, 445)(190, 446)(191, 447)(192, 448)(193, 449)(194, 450)(195, 451)(196, 452)(197, 453)(198, 454)(199, 455)(200, 456)(201, 457)(202, 458)(203, 459)(204, 460)(205, 461)(206, 462)(207, 463)(208, 464)(209, 465)(210, 466)(211, 467)(212, 468)(213, 469)(214, 470)(215, 471)(216, 472)(217, 473)(218, 474)(219, 475)(220, 476)(221, 477)(222, 478)(223, 479)(224, 480)(225, 481)(226, 482)(227, 483)(228, 484)(229, 485)(230, 486)(231, 487)(232, 488)(233, 489)(234, 490)(235, 491)(236, 492)(237, 493)(238, 494)(239, 495)(240, 496)(241, 497)(242, 498)(243, 499)(244, 500)(245, 501)(246, 502)(247, 503)(248, 504)(249, 505)(250, 506)(251, 507)(252, 508)(253, 509)(254, 510)(255, 511)(256, 512)
	local type(s) :: { ( 2, 4, 2, 4, 2, 4, 2, 4 ), ( 2, 4, 2, 4, 2, 4, 2, 4, 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 E13.1547
Graph:: bipartite
	v = 40 e = 256 f = 192
	degree seq :: [ 8^32, 32^8 ]

E13.1547 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 16})
Quotient :: dipole
Aut^+ = ((C16 : C2) : C2) : C2 (small group id <128, 71>)
Aut   = $<256, 5102>$ (small group id <256, 5102>)
|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^-4 * Y2)^2, (Y3^-3 * Y2 * Y3^-1)^2, Y3 * Y2 * Y3^-1 * Y2 * Y3^5 * Y2 * Y3^-1 * Y2, (Y3^-1 * Y2 * Y3^-1)^4, (Y3^-1 * Y1^-1)^16 ]
Map:: polytopal
	R = (1, 129)(2, 130)(3, 131)(4, 132)(5, 133)(6, 134)(7, 135)(8, 136)(9, 137)(10, 138)(11, 139)(12, 140)(13, 141)(14, 142)(15, 143)(16, 144)(17, 145)(18, 146)(19, 147)(20, 148)(21, 149)(22, 150)(23, 151)(24, 152)(25, 153)(26, 154)(27, 155)(28, 156)(29, 157)(30, 158)(31, 159)(32, 160)(33, 161)(34, 162)(35, 163)(36, 164)(37, 165)(38, 166)(39, 167)(40, 168)(41, 169)(42, 170)(43, 171)(44, 172)(45, 173)(46, 174)(47, 175)(48, 176)(49, 177)(50, 178)(51, 179)(52, 180)(53, 181)(54, 182)(55, 183)(56, 184)(57, 185)(58, 186)(59, 187)(60, 188)(61, 189)(62, 190)(63, 191)(64, 192)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)(257, 385, 258, 386)(259, 387, 263, 391)(260, 388, 265, 393)(261, 389, 267, 395)(262, 390, 269, 397)(264, 392, 273, 401)(266, 394, 277, 405)(268, 396, 281, 409)(270, 398, 285, 413)(271, 399, 284, 412)(272, 400, 288, 416)(274, 402, 292, 420)(275, 403, 294, 422)(276, 404, 279, 407)(278, 406, 299, 427)(280, 408, 302, 430)(282, 410, 306, 434)(283, 411, 308, 436)(286, 414, 313, 441)(287, 415, 315, 443)(289, 417, 319, 447)(290, 418, 318, 446)(291, 419, 322, 450)(293, 421, 314, 442)(295, 423, 329, 457)(296, 424, 331, 459)(297, 425, 332, 460)(298, 426, 327, 455)(300, 428, 307, 435)(301, 429, 336, 464)(303, 431, 340, 468)(304, 432, 339, 467)(305, 433, 343, 471)(309, 437, 350, 478)(310, 438, 352, 480)(311, 439, 353, 481)(312, 440, 348, 476)(316, 444, 359, 487)(317, 445, 347, 475)(320, 448, 351, 479)(321, 449, 342, 470)(323, 451, 354, 482)(324, 452, 362, 490)(325, 453, 355, 483)(326, 454, 338, 466)(328, 456, 356, 484)(330, 458, 341, 469)(333, 461, 344, 472)(334, 462, 346, 474)(335, 463, 349, 477)(337, 465, 368, 496)(345, 473, 371, 499)(357, 485, 366, 494)(358, 486, 374, 502)(360, 488, 373, 501)(361, 489, 372, 500)(363, 491, 370, 498)(364, 492, 369, 497)(365, 493, 367, 495)(375, 503, 382, 510)(376, 504, 381, 509)(377, 505, 380, 508)(378, 506, 379, 507)(383, 511, 384, 512)
	L = (1, 259)(2, 261)(3, 264)(4, 257)(5, 268)(6, 258)(7, 271)(8, 274)(9, 275)(10, 260)(11, 279)(12, 282)(13, 283)(14, 262)(15, 287)(16, 263)(17, 290)(18, 293)(19, 295)(20, 265)(21, 297)(22, 266)(23, 301)(24, 267)(25, 304)(26, 307)(27, 309)(28, 269)(29, 311)(30, 270)(31, 316)(32, 317)(33, 272)(34, 321)(35, 273)(36, 324)(37, 326)(38, 327)(39, 330)(40, 276)(41, 333)(42, 277)(43, 334)(44, 278)(45, 337)(46, 338)(47, 280)(48, 342)(49, 281)(50, 345)(51, 347)(52, 348)(53, 351)(54, 284)(55, 354)(56, 285)(57, 355)(58, 286)(59, 357)(60, 299)(61, 341)(62, 288)(63, 344)(64, 289)(65, 298)(66, 346)(67, 291)(68, 296)(69, 292)(70, 363)(71, 364)(72, 294)(73, 358)(74, 349)(75, 361)(76, 359)(77, 350)(78, 353)(79, 300)(80, 366)(81, 313)(82, 320)(83, 302)(84, 323)(85, 303)(86, 312)(87, 325)(88, 305)(89, 310)(90, 306)(91, 372)(92, 373)(93, 308)(94, 367)(95, 328)(96, 370)(97, 368)(98, 329)(99, 332)(100, 314)(101, 331)(102, 315)(103, 375)(104, 318)(105, 319)(106, 322)(107, 377)(108, 376)(109, 335)(110, 352)(111, 336)(112, 379)(113, 339)(114, 340)(115, 343)(116, 381)(117, 380)(118, 356)(119, 360)(120, 362)(121, 383)(122, 365)(123, 369)(124, 371)(125, 384)(126, 374)(127, 378)(128, 382)(129, 385)(130, 386)(131, 387)(132, 388)(133, 389)(134, 390)(135, 391)(136, 392)(137, 393)(138, 394)(139, 395)(140, 396)(141, 397)(142, 398)(143, 399)(144, 400)(145, 401)(146, 402)(147, 403)(148, 404)(149, 405)(150, 406)(151, 407)(152, 408)(153, 409)(154, 410)(155, 411)(156, 412)(157, 413)(158, 414)(159, 415)(160, 416)(161, 417)(162, 418)(163, 419)(164, 420)(165, 421)(166, 422)(167, 423)(168, 424)(169, 425)(170, 426)(171, 427)(172, 428)(173, 429)(174, 430)(175, 431)(176, 432)(177, 433)(178, 434)(179, 435)(180, 436)(181, 437)(182, 438)(183, 439)(184, 440)(185, 441)(186, 442)(187, 443)(188, 444)(189, 445)(190, 446)(191, 447)(192, 448)(193, 449)(194, 450)(195, 451)(196, 452)(197, 453)(198, 454)(199, 455)(200, 456)(201, 457)(202, 458)(203, 459)(204, 460)(205, 461)(206, 462)(207, 463)(208, 464)(209, 465)(210, 466)(211, 467)(212, 468)(213, 469)(214, 470)(215, 471)(216, 472)(217, 473)(218, 474)(219, 475)(220, 476)(221, 477)(222, 478)(223, 479)(224, 480)(225, 481)(226, 482)(227, 483)(228, 484)(229, 485)(230, 486)(231, 487)(232, 488)(233, 489)(234, 490)(235, 491)(236, 492)(237, 493)(238, 494)(239, 495)(240, 496)(241, 497)(242, 498)(243, 499)(244, 500)(245, 501)(246, 502)(247, 503)(248, 504)(249, 505)(250, 506)(251, 507)(252, 508)(253, 509)(254, 510)(255, 511)(256, 512)
	local type(s) :: { ( 8, 32 ), ( 8, 32, 8, 32 ) }
Outer automorphisms :: reflexible
Dual of E13.1546
Graph:: simple bipartite
	v = 192 e = 256 f = 40
	degree seq :: [ 2^128, 4^64 ]

E13.1548 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 16})
Quotient :: dipole
Aut^+ = ((C16 : C2) : C2) : C2 (small group id <128, 71>)
Aut   = $<256, 5102>$ (small group id <256, 5102>)
|r| :: 2
Presentation :: [ Y2, R^2, Y3^2, R * Y2 * R * Y2^-1, (R * Y1)^2, (R * Y3)^2, (Y3 * Y2^-1)^2, (Y3 * Y1^-1)^4, (Y1^3 * Y3 * Y1)^2, (Y1^-2 * Y3 * Y1^-2)^2, Y3 * Y1 * Y3 * Y1^-1 * Y3 * Y1^5 * Y3 * Y1^-1, (Y3 * Y1^-2)^4, Y1^16 ]
Map:: polytopal
	R = (1, 129, 2, 130, 5, 133, 11, 139, 23, 151, 45, 173, 80, 208, 110, 238, 123, 251, 122, 250, 109, 237, 79, 207, 44, 172, 22, 150, 10, 138, 4, 132)(3, 131, 7, 135, 15, 143, 31, 159, 59, 187, 97, 225, 118, 246, 126, 254, 128, 256, 125, 253, 112, 240, 82, 210, 46, 174, 37, 165, 18, 146, 8, 136)(6, 134, 13, 141, 27, 155, 53, 181, 43, 171, 78, 206, 107, 235, 120, 248, 127, 255, 119, 247, 101, 229, 64, 192, 81, 209, 58, 186, 30, 158, 14, 142)(9, 137, 19, 147, 38, 166, 71, 199, 106, 234, 67, 195, 105, 233, 115, 243, 124, 252, 114, 242, 85, 213, 48, 176, 24, 152, 47, 175, 40, 168, 20, 148)(12, 140, 25, 153, 49, 177, 42, 170, 21, 149, 41, 169, 76, 204, 104, 232, 121, 249, 103, 231, 117, 245, 94, 222, 111, 239, 90, 218, 52, 180, 26, 154)(16, 144, 33, 161, 63, 191, 102, 230, 70, 198, 84, 212, 77, 205, 91, 219, 116, 244, 87, 215, 50, 178, 29, 157, 56, 184, 96, 224, 65, 193, 34, 162)(17, 145, 35, 163, 66, 194, 100, 228, 74, 202, 39, 167, 73, 201, 108, 236, 113, 241, 83, 211, 51, 179, 88, 216, 60, 188, 95, 223, 55, 183, 28, 156)(32, 160, 61, 189, 86, 214, 69, 197, 36, 164, 68, 196, 89, 217, 72, 200, 93, 221, 54, 182, 92, 220, 75, 203, 99, 227, 57, 185, 98, 226, 62, 190)(257, 385)(258, 386)(259, 387)(260, 388)(261, 389)(262, 390)(263, 391)(264, 392)(265, 393)(266, 394)(267, 395)(268, 396)(269, 397)(270, 398)(271, 399)(272, 400)(273, 401)(274, 402)(275, 403)(276, 404)(277, 405)(278, 406)(279, 407)(280, 408)(281, 409)(282, 410)(283, 411)(284, 412)(285, 413)(286, 414)(287, 415)(288, 416)(289, 417)(290, 418)(291, 419)(292, 420)(293, 421)(294, 422)(295, 423)(296, 424)(297, 425)(298, 426)(299, 427)(300, 428)(301, 429)(302, 430)(303, 431)(304, 432)(305, 433)(306, 434)(307, 435)(308, 436)(309, 437)(310, 438)(311, 439)(312, 440)(313, 441)(314, 442)(315, 443)(316, 444)(317, 445)(318, 446)(319, 447)(320, 448)(321, 449)(322, 450)(323, 451)(324, 452)(325, 453)(326, 454)(327, 455)(328, 456)(329, 457)(330, 458)(331, 459)(332, 460)(333, 461)(334, 462)(335, 463)(336, 464)(337, 465)(338, 466)(339, 467)(340, 468)(341, 469)(342, 470)(343, 471)(344, 472)(345, 473)(346, 474)(347, 475)(348, 476)(349, 477)(350, 478)(351, 479)(352, 480)(353, 481)(354, 482)(355, 483)(356, 484)(357, 485)(358, 486)(359, 487)(360, 488)(361, 489)(362, 490)(363, 491)(364, 492)(365, 493)(366, 494)(367, 495)(368, 496)(369, 497)(370, 498)(371, 499)(372, 500)(373, 501)(374, 502)(375, 503)(376, 504)(377, 505)(378, 506)(379, 507)(380, 508)(381, 509)(382, 510)(383, 511)(384, 512)
	L = (1, 259)(2, 262)(3, 257)(4, 265)(5, 268)(6, 258)(7, 272)(8, 273)(9, 260)(10, 277)(11, 280)(12, 261)(13, 284)(14, 285)(15, 288)(16, 263)(17, 264)(18, 292)(19, 295)(20, 289)(21, 266)(22, 299)(23, 302)(24, 267)(25, 306)(26, 307)(27, 310)(28, 269)(29, 270)(30, 313)(31, 316)(32, 271)(33, 276)(34, 320)(35, 323)(36, 274)(37, 326)(38, 328)(39, 275)(40, 331)(41, 333)(42, 329)(43, 278)(44, 315)(45, 337)(46, 279)(47, 339)(48, 340)(49, 342)(50, 281)(51, 282)(52, 345)(53, 347)(54, 283)(55, 350)(56, 353)(57, 286)(58, 356)(59, 300)(60, 287)(61, 357)(62, 341)(63, 359)(64, 290)(65, 346)(66, 360)(67, 291)(68, 363)(69, 361)(70, 293)(71, 352)(72, 294)(73, 298)(74, 338)(75, 296)(76, 354)(77, 297)(78, 344)(79, 362)(80, 367)(81, 301)(82, 330)(83, 303)(84, 304)(85, 318)(86, 305)(87, 371)(88, 334)(89, 308)(90, 321)(91, 309)(92, 373)(93, 368)(94, 311)(95, 370)(96, 327)(97, 312)(98, 332)(99, 374)(100, 314)(101, 317)(102, 376)(103, 319)(104, 322)(105, 325)(106, 335)(107, 324)(108, 375)(109, 377)(110, 380)(111, 336)(112, 349)(113, 382)(114, 351)(115, 343)(116, 381)(117, 348)(118, 355)(119, 364)(120, 358)(121, 365)(122, 383)(123, 384)(124, 366)(125, 372)(126, 369)(127, 378)(128, 379)(129, 385)(130, 386)(131, 387)(132, 388)(133, 389)(134, 390)(135, 391)(136, 392)(137, 393)(138, 394)(139, 395)(140, 396)(141, 397)(142, 398)(143, 399)(144, 400)(145, 401)(146, 402)(147, 403)(148, 404)(149, 405)(150, 406)(151, 407)(152, 408)(153, 409)(154, 410)(155, 411)(156, 412)(157, 413)(158, 414)(159, 415)(160, 416)(161, 417)(162, 418)(163, 419)(164, 420)(165, 421)(166, 422)(167, 423)(168, 424)(169, 425)(170, 426)(171, 427)(172, 428)(173, 429)(174, 430)(175, 431)(176, 432)(177, 433)(178, 434)(179, 435)(180, 436)(181, 437)(182, 438)(183, 439)(184, 440)(185, 441)(186, 442)(187, 443)(188, 444)(189, 445)(190, 446)(191, 447)(192, 448)(193, 449)(194, 450)(195, 451)(196, 452)(197, 453)(198, 454)(199, 455)(200, 456)(201, 457)(202, 458)(203, 459)(204, 460)(205, 461)(206, 462)(207, 463)(208, 464)(209, 465)(210, 466)(211, 467)(212, 468)(213, 469)(214, 470)(215, 471)(216, 472)(217, 473)(218, 474)(219, 475)(220, 476)(221, 477)(222, 478)(223, 479)(224, 480)(225, 481)(226, 482)(227, 483)(228, 484)(229, 485)(230, 486)(231, 487)(232, 488)(233, 489)(234, 490)(235, 491)(236, 492)(237, 493)(238, 494)(239, 495)(240, 496)(241, 497)(242, 498)(243, 499)(244, 500)(245, 501)(246, 502)(247, 503)(248, 504)(249, 505)(250, 506)(251, 507)(252, 508)(253, 509)(254, 510)(255, 511)(256, 512)
	local type(s) :: { ( 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8, 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 E13.1545
Graph:: simple bipartite
	v = 136 e = 256 f = 96
	degree seq :: [ 2^128, 32^8 ]

E13.1549 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 16})
Quotient :: dipole
Aut^+ = ((C16 : C2) : C2) : C2 (small group id <128, 71>)
Aut   = $<256, 5102>$ (small group id <256, 5102>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, R * Y2^-1 * R * Y2 * Y1 * Y2 * Y1 * Y2, (Y2 * Y1)^4, (Y3 * Y2^-1)^4, (Y2^3 * Y1 * Y2)^2, Y2^-2 * R * Y2^4 * R * Y2^-2, (Y2^-3 * Y1 * Y2^-1)^2, (R * Y2^-3 * Y1)^2, (Y2^-1 * Y1 * Y2^-1)^4, Y2 * Y1 * Y2^-2 * Y1 * Y2^3 * Y1 * Y2^-2 * Y1, Y2^16 ]
Map::
	R = (1, 129, 2, 130)(3, 131, 7, 135)(4, 132, 9, 137)(5, 133, 11, 139)(6, 134, 13, 141)(8, 136, 17, 145)(10, 138, 21, 149)(12, 140, 25, 153)(14, 142, 29, 157)(15, 143, 28, 156)(16, 144, 32, 160)(18, 146, 36, 164)(19, 147, 38, 166)(20, 148, 23, 151)(22, 150, 43, 171)(24, 152, 46, 174)(26, 154, 50, 178)(27, 155, 52, 180)(30, 158, 57, 185)(31, 159, 59, 187)(33, 161, 63, 191)(34, 162, 62, 190)(35, 163, 66, 194)(37, 165, 58, 186)(39, 167, 73, 201)(40, 168, 75, 203)(41, 169, 76, 204)(42, 170, 71, 199)(44, 172, 51, 179)(45, 173, 80, 208)(47, 175, 84, 212)(48, 176, 83, 211)(49, 177, 87, 215)(53, 181, 94, 222)(54, 182, 96, 224)(55, 183, 97, 225)(56, 184, 92, 220)(60, 188, 103, 231)(61, 189, 91, 219)(64, 192, 95, 223)(65, 193, 86, 214)(67, 195, 98, 226)(68, 196, 106, 234)(69, 197, 99, 227)(70, 198, 82, 210)(72, 200, 100, 228)(74, 202, 85, 213)(77, 205, 88, 216)(78, 206, 90, 218)(79, 207, 93, 221)(81, 209, 112, 240)(89, 217, 115, 243)(101, 229, 110, 238)(102, 230, 118, 246)(104, 232, 117, 245)(105, 233, 116, 244)(107, 235, 114, 242)(108, 236, 113, 241)(109, 237, 111, 239)(119, 247, 126, 254)(120, 248, 125, 253)(121, 249, 124, 252)(122, 250, 123, 251)(127, 255, 128, 256)(257, 385, 259, 387, 264, 392, 274, 402, 293, 421, 326, 454, 363, 491, 377, 505, 383, 511, 378, 506, 365, 493, 335, 463, 300, 428, 278, 406, 266, 394, 260, 388)(258, 386, 261, 389, 268, 396, 282, 410, 307, 435, 347, 475, 372, 500, 381, 509, 384, 512, 382, 510, 374, 502, 356, 484, 314, 442, 286, 414, 270, 398, 262, 390)(263, 391, 271, 399, 287, 415, 316, 444, 299, 427, 334, 462, 353, 481, 368, 496, 379, 507, 369, 497, 339, 467, 302, 430, 338, 466, 320, 448, 289, 417, 272, 400)(265, 393, 275, 403, 295, 423, 330, 458, 349, 477, 308, 436, 348, 476, 373, 501, 380, 508, 371, 499, 343, 471, 325, 453, 292, 420, 324, 452, 296, 424, 276, 404)(267, 395, 279, 407, 301, 429, 337, 465, 313, 441, 355, 483, 332, 460, 359, 487, 375, 503, 360, 488, 318, 446, 288, 416, 317, 445, 341, 469, 303, 431, 280, 408)(269, 397, 283, 411, 309, 437, 351, 479, 328, 456, 294, 422, 327, 455, 364, 492, 376, 504, 362, 490, 322, 450, 346, 474, 306, 434, 345, 473, 310, 438, 284, 412)(273, 401, 290, 418, 321, 449, 298, 426, 277, 405, 297, 425, 333, 461, 350, 478, 367, 495, 336, 464, 366, 494, 352, 480, 370, 498, 340, 468, 323, 451, 291, 419)(281, 409, 304, 432, 342, 470, 312, 440, 285, 413, 311, 439, 354, 482, 329, 457, 358, 486, 315, 443, 357, 485, 331, 459, 361, 489, 319, 447, 344, 472, 305, 433)
	L = (1, 258)(2, 257)(3, 263)(4, 265)(5, 267)(6, 269)(7, 259)(8, 273)(9, 260)(10, 277)(11, 261)(12, 281)(13, 262)(14, 285)(15, 284)(16, 288)(17, 264)(18, 292)(19, 294)(20, 279)(21, 266)(22, 299)(23, 276)(24, 302)(25, 268)(26, 306)(27, 308)(28, 271)(29, 270)(30, 313)(31, 315)(32, 272)(33, 319)(34, 318)(35, 322)(36, 274)(37, 314)(38, 275)(39, 329)(40, 331)(41, 332)(42, 327)(43, 278)(44, 307)(45, 336)(46, 280)(47, 340)(48, 339)(49, 343)(50, 282)(51, 300)(52, 283)(53, 350)(54, 352)(55, 353)(56, 348)(57, 286)(58, 293)(59, 287)(60, 359)(61, 347)(62, 290)(63, 289)(64, 351)(65, 342)(66, 291)(67, 354)(68, 362)(69, 355)(70, 338)(71, 298)(72, 356)(73, 295)(74, 341)(75, 296)(76, 297)(77, 344)(78, 346)(79, 349)(80, 301)(81, 368)(82, 326)(83, 304)(84, 303)(85, 330)(86, 321)(87, 305)(88, 333)(89, 371)(90, 334)(91, 317)(92, 312)(93, 335)(94, 309)(95, 320)(96, 310)(97, 311)(98, 323)(99, 325)(100, 328)(101, 366)(102, 374)(103, 316)(104, 373)(105, 372)(106, 324)(107, 370)(108, 369)(109, 367)(110, 357)(111, 365)(112, 337)(113, 364)(114, 363)(115, 345)(116, 361)(117, 360)(118, 358)(119, 382)(120, 381)(121, 380)(122, 379)(123, 378)(124, 377)(125, 376)(126, 375)(127, 384)(128, 383)(129, 385)(130, 386)(131, 387)(132, 388)(133, 389)(134, 390)(135, 391)(136, 392)(137, 393)(138, 394)(139, 395)(140, 396)(141, 397)(142, 398)(143, 399)(144, 400)(145, 401)(146, 402)(147, 403)(148, 404)(149, 405)(150, 406)(151, 407)(152, 408)(153, 409)(154, 410)(155, 411)(156, 412)(157, 413)(158, 414)(159, 415)(160, 416)(161, 417)(162, 418)(163, 419)(164, 420)(165, 421)(166, 422)(167, 423)(168, 424)(169, 425)(170, 426)(171, 427)(172, 428)(173, 429)(174, 430)(175, 431)(176, 432)(177, 433)(178, 434)(179, 435)(180, 436)(181, 437)(182, 438)(183, 439)(184, 440)(185, 441)(186, 442)(187, 443)(188, 444)(189, 445)(190, 446)(191, 447)(192, 448)(193, 449)(194, 450)(195, 451)(196, 452)(197, 453)(198, 454)(199, 455)(200, 456)(201, 457)(202, 458)(203, 459)(204, 460)(205, 461)(206, 462)(207, 463)(208, 464)(209, 465)(210, 466)(211, 467)(212, 468)(213, 469)(214, 470)(215, 471)(216, 472)(217, 473)(218, 474)(219, 475)(220, 476)(221, 477)(222, 478)(223, 479)(224, 480)(225, 481)(226, 482)(227, 483)(228, 484)(229, 485)(230, 486)(231, 487)(232, 488)(233, 489)(234, 490)(235, 491)(236, 492)(237, 493)(238, 494)(239, 495)(240, 496)(241, 497)(242, 498)(243, 499)(244, 500)(245, 501)(246, 502)(247, 503)(248, 504)(249, 505)(250, 506)(251, 507)(252, 508)(253, 509)(254, 510)(255, 511)(256, 512)
	local type(s) :: { ( 2, 8, 2, 8 ), ( 2, 8, 2, 8, 2, 8, 2, 8, 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 E13.1550
Graph:: bipartite
	v = 72 e = 256 f = 160
	degree seq :: [ 4^64, 32^8 ]

E13.1550 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 16})
Quotient :: dipole
Aut^+ = ((C16 : C2) : C2) : C2 (small group id <128, 71>)
Aut   = $<256, 5102>$ (small group id <256, 5102>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y3)^2, (R * Y1)^2, (Y3 * Y1)^2, Y1^4, (R * Y2 * Y3^-1)^2, (Y3^-1 * Y1)^4, (Y3^-3 * Y1)^2, Y1^-1 * Y3^-2 * Y1 * Y3^-2 * Y1^-1 * Y3 * Y1^-1 * Y3, Y1^-1 * Y3^-1 * Y1 * Y3 * Y1^-1 * Y3^-6 * Y1^-1, Y3 * Y1^-2 * Y3^5 * Y1^-1 * Y3^-2 * Y1^-1, Y3 * Y1^-1 * Y3^-1 * Y1 * Y3 * Y1^-1 * Y3 * Y1^-2 * Y3^2 * Y1^-1, (Y3 * Y2^-1)^16 ]
Map:: polytopal
	R = (1, 129, 2, 130, 6, 134, 4, 132)(3, 131, 9, 137, 21, 149, 11, 139)(5, 133, 13, 141, 18, 146, 7, 135)(8, 136, 19, 147, 34, 162, 15, 143)(10, 138, 23, 151, 49, 177, 25, 153)(12, 140, 16, 144, 35, 163, 28, 156)(14, 142, 31, 159, 60, 188, 29, 157)(17, 145, 37, 165, 71, 199, 39, 167)(20, 148, 43, 171, 78, 206, 41, 169)(22, 150, 47, 175, 82, 210, 45, 173)(24, 152, 51, 179, 79, 207, 44, 172)(26, 154, 46, 174, 66, 194, 42, 170)(27, 155, 55, 183, 93, 221, 57, 185)(30, 158, 58, 186, 68, 196, 40, 168)(32, 160, 56, 184, 95, 223, 61, 189)(33, 161, 63, 191, 101, 229, 65, 193)(36, 164, 69, 197, 108, 236, 67, 195)(38, 166, 73, 201, 109, 237, 70, 198)(48, 176, 64, 192, 103, 231, 84, 212)(50, 178, 77, 205, 117, 245, 87, 215)(52, 180, 80, 208, 104, 232, 86, 214)(53, 181, 88, 216, 121, 249, 85, 213)(54, 182, 75, 203, 112, 240, 92, 220)(59, 187, 97, 225, 120, 248, 94, 222)(62, 190, 74, 202, 110, 238, 96, 224)(72, 200, 107, 235, 91, 219, 111, 239)(76, 204, 105, 233, 124, 252, 116, 244)(81, 209, 115, 243, 100, 228, 102, 230)(83, 211, 122, 250, 125, 253, 106, 234)(89, 217, 113, 241, 98, 226, 118, 246)(90, 218, 114, 242, 99, 227, 119, 247)(123, 251, 126, 254, 128, 256, 127, 255)(257, 385)(258, 386)(259, 387)(260, 388)(261, 389)(262, 390)(263, 391)(264, 392)(265, 393)(266, 394)(267, 395)(268, 396)(269, 397)(270, 398)(271, 399)(272, 400)(273, 401)(274, 402)(275, 403)(276, 404)(277, 405)(278, 406)(279, 407)(280, 408)(281, 409)(282, 410)(283, 411)(284, 412)(285, 413)(286, 414)(287, 415)(288, 416)(289, 417)(290, 418)(291, 419)(292, 420)(293, 421)(294, 422)(295, 423)(296, 424)(297, 425)(298, 426)(299, 427)(300, 428)(301, 429)(302, 430)(303, 431)(304, 432)(305, 433)(306, 434)(307, 435)(308, 436)(309, 437)(310, 438)(311, 439)(312, 440)(313, 441)(314, 442)(315, 443)(316, 444)(317, 445)(318, 446)(319, 447)(320, 448)(321, 449)(322, 450)(323, 451)(324, 452)(325, 453)(326, 454)(327, 455)(328, 456)(329, 457)(330, 458)(331, 459)(332, 460)(333, 461)(334, 462)(335, 463)(336, 464)(337, 465)(338, 466)(339, 467)(340, 468)(341, 469)(342, 470)(343, 471)(344, 472)(345, 473)(346, 474)(347, 475)(348, 476)(349, 477)(350, 478)(351, 479)(352, 480)(353, 481)(354, 482)(355, 483)(356, 484)(357, 485)(358, 486)(359, 487)(360, 488)(361, 489)(362, 490)(363, 491)(364, 492)(365, 493)(366, 494)(367, 495)(368, 496)(369, 497)(370, 498)(371, 499)(372, 500)(373, 501)(374, 502)(375, 503)(376, 504)(377, 505)(378, 506)(379, 507)(380, 508)(381, 509)(382, 510)(383, 511)(384, 512)
	L = (1, 259)(2, 263)(3, 266)(4, 268)(5, 257)(6, 271)(7, 273)(8, 258)(9, 260)(10, 280)(11, 282)(12, 283)(13, 285)(14, 261)(15, 289)(16, 262)(17, 294)(18, 296)(19, 297)(20, 264)(21, 301)(22, 265)(23, 267)(24, 308)(25, 309)(26, 310)(27, 312)(28, 314)(29, 315)(30, 269)(31, 317)(32, 270)(33, 320)(34, 322)(35, 323)(36, 272)(37, 274)(38, 330)(39, 331)(40, 332)(41, 333)(42, 275)(43, 335)(44, 276)(45, 337)(46, 277)(47, 340)(48, 278)(49, 343)(50, 279)(51, 281)(52, 347)(53, 286)(54, 287)(55, 284)(56, 352)(57, 339)(58, 341)(59, 354)(60, 348)(61, 355)(62, 288)(63, 290)(64, 360)(65, 361)(66, 362)(67, 363)(68, 291)(69, 365)(70, 292)(71, 367)(72, 293)(73, 295)(74, 371)(75, 298)(76, 299)(77, 374)(78, 372)(79, 375)(80, 300)(81, 369)(82, 377)(83, 302)(84, 370)(85, 303)(86, 304)(87, 366)(88, 305)(89, 306)(90, 307)(91, 364)(92, 379)(93, 376)(94, 311)(95, 313)(96, 373)(97, 316)(98, 358)(99, 359)(100, 318)(101, 356)(102, 319)(103, 321)(104, 353)(105, 324)(106, 325)(107, 345)(108, 381)(109, 346)(110, 326)(111, 342)(112, 327)(113, 328)(114, 329)(115, 338)(116, 382)(117, 334)(118, 350)(119, 351)(120, 336)(121, 383)(122, 349)(123, 344)(124, 357)(125, 384)(126, 368)(127, 378)(128, 380)(129, 385)(130, 386)(131, 387)(132, 388)(133, 389)(134, 390)(135, 391)(136, 392)(137, 393)(138, 394)(139, 395)(140, 396)(141, 397)(142, 398)(143, 399)(144, 400)(145, 401)(146, 402)(147, 403)(148, 404)(149, 405)(150, 406)(151, 407)(152, 408)(153, 409)(154, 410)(155, 411)(156, 412)(157, 413)(158, 414)(159, 415)(160, 416)(161, 417)(162, 418)(163, 419)(164, 420)(165, 421)(166, 422)(167, 423)(168, 424)(169, 425)(170, 426)(171, 427)(172, 428)(173, 429)(174, 430)(175, 431)(176, 432)(177, 433)(178, 434)(179, 435)(180, 436)(181, 437)(182, 438)(183, 439)(184, 440)(185, 441)(186, 442)(187, 443)(188, 444)(189, 445)(190, 446)(191, 447)(192, 448)(193, 449)(194, 450)(195, 451)(196, 452)(197, 453)(198, 454)(199, 455)(200, 456)(201, 457)(202, 458)(203, 459)(204, 460)(205, 461)(206, 462)(207, 463)(208, 464)(209, 465)(210, 466)(211, 467)(212, 468)(213, 469)(214, 470)(215, 471)(216, 472)(217, 473)(218, 474)(219, 475)(220, 476)(221, 477)(222, 478)(223, 479)(224, 480)(225, 481)(226, 482)(227, 483)(228, 484)(229, 485)(230, 486)(231, 487)(232, 488)(233, 489)(234, 490)(235, 491)(236, 492)(237, 493)(238, 494)(239, 495)(240, 496)(241, 497)(242, 498)(243, 499)(244, 500)(245, 501)(246, 502)(247, 503)(248, 504)(249, 505)(250, 506)(251, 507)(252, 508)(253, 509)(254, 510)(255, 511)(256, 512)
	local type(s) :: { ( 4, 32 ), ( 4, 32, 4, 32, 4, 32, 4, 32 ) }
Outer automorphisms :: reflexible
Dual of E13.1549
Graph:: simple bipartite
	v = 160 e = 256 f = 72
	degree seq :: [ 2^128, 8^32 ]

E13.1551 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 4, 16})
Quotient :: regular
Aut^+ = ((C8 x C2) : C4) : C2 (small group id <128, 79>)
Aut   = $<256, 5090>$ (small group id <256, 5090>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, (T1^-1 * T2)^4, T2 * T1^-1 * T2 * T1 * T2 * T1^3 * T2 * T1, (T2 * T1^-4)^2, T1^16 ]
Map:: polytopal non-degenerate
	R = (1, 2, 5, 11, 23, 45, 68, 85, 101, 100, 84, 67, 44, 22, 10, 4)(3, 7, 15, 31, 59, 77, 93, 109, 116, 108, 89, 70, 46, 37, 18, 8)(6, 13, 27, 53, 43, 66, 83, 99, 115, 122, 105, 87, 69, 58, 30, 14)(9, 19, 38, 64, 81, 97, 113, 117, 102, 92, 72, 48, 24, 47, 40, 20)(12, 25, 49, 42, 21, 41, 65, 82, 98, 114, 119, 103, 86, 76, 52, 26)(16, 33, 50, 29, 56, 71, 90, 104, 120, 126, 125, 111, 94, 80, 62, 34)(17, 35, 51, 74, 88, 106, 118, 127, 123, 112, 95, 78, 60, 39, 55, 28)(32, 54, 73, 63, 36, 57, 75, 91, 107, 121, 128, 124, 110, 96, 79, 61)
	L = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 17)(10, 21)(11, 24)(13, 28)(14, 29)(15, 32)(18, 36)(19, 39)(20, 33)(22, 43)(23, 46)(25, 50)(26, 51)(27, 54)(30, 57)(31, 60)(34, 53)(35, 47)(37, 56)(38, 61)(40, 63)(41, 62)(42, 55)(44, 59)(45, 69)(48, 71)(49, 73)(52, 75)(58, 74)(64, 80)(65, 79)(66, 78)(67, 81)(68, 86)(70, 88)(72, 91)(76, 90)(77, 94)(82, 95)(83, 96)(84, 98)(85, 102)(87, 104)(89, 107)(92, 106)(93, 110)(97, 112)(99, 111)(100, 115)(101, 116)(103, 118)(105, 121)(108, 120)(109, 123)(113, 124)(114, 125)(117, 126)(119, 128)(122, 127)
	local type(s) :: { ( 4^16 ) }
Outer automorphisms :: reflexible
Dual of E13.1552
Transitivity :: ET+ VT+ AT+ REG+
Graph:: bipartite
	v = 8 e = 64 f = 32
	degree seq :: [ 16^8 ]

E13.1552 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 4, 16})
Quotient :: regular
Aut^+ = ((C8 x C2) : C4) : C2 (small group id <128, 79>)
Aut   = $<256, 5090>$ (small group id <256, 5090>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T1^4, T1^-1 * T2 * T1 * T2 * T1^-2 * T2 * T1^-1 * T2 * T1^-1, T1 * T2 * T1^-1 * T2 * T1 * T2 * T1 * T2 * T1^-1 * T2 * T1 * T2 * T1 * T2 * T1^-1 * T2 * T1 * T2 * T1 * T2 * T1^-1 * T2 * T1 * T2 * T1 * T2 * T1^-1 * T2 * T1 * T2 * T1^-1 * 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, 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, 81, 75, 82)(74, 83, 76, 84)(77, 85, 79, 86)(78, 87, 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, 125, 123, 127)(122, 126, 124, 128)
	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, 77)(70, 78)(71, 79)(72, 80)(81, 89)(82, 90)(83, 91)(84, 92)(85, 93)(86, 94)(87, 95)(88, 96)(97, 105)(98, 106)(99, 107)(100, 108)(101, 109)(102, 110)(103, 111)(104, 112)(113, 121)(114, 122)(115, 123)(116, 124)(117, 125)(118, 126)(119, 127)(120, 128)
	local type(s) :: { ( 16^4 ) }
Outer automorphisms :: reflexible
Dual of E13.1551
Transitivity :: ET+ VT+ AT+ REG+
Graph:: simple bipartite
	v = 32 e = 64 f = 8
	degree seq :: [ 4^32 ]

E13.1553 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 4, 16})
Quotient :: edge
Aut^+ = ((C8 x C2) : C4) : C2 (small group id <128, 79>)
Aut   = $<256, 5090>$ (small group id <256, 5090>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T1)^2, (F * T2)^2, T2^4, T2^-1 * T1 * T2^-1 * T1 * T2^-2 * T1 * T2 * T1 * T2^-1, T2 * T1 * T2^-1 * T1 * T2 * T1 * T2 * T1 * T2^-1 * T1 * T2 * T1 * T2 * T1 * T2^-1 * T1 * T2 * T1 * T2 * T1 * T2^-1 * T1 * T2 * T1 * T2 * T1 * T2^-1 * T1 * T2 * 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, 77, 71, 78)(70, 79, 72, 80)(81, 89, 83, 90)(82, 91, 84, 92)(85, 93, 87, 94)(86, 95, 88, 96)(97, 105, 99, 106)(98, 107, 100, 108)(101, 109, 103, 110)(102, 111, 104, 112)(113, 121, 115, 122)(114, 123, 116, 124)(117, 125, 119, 126)(118, 127, 120, 128)(129, 130)(131, 135)(132, 137)(133, 138)(134, 140)(136, 143)(139, 148)(141, 151)(142, 153)(144, 156)(145, 158)(146, 159)(147, 161)(149, 164)(150, 166)(152, 162)(154, 160)(155, 165)(157, 163)(167, 177)(168, 178)(169, 179)(170, 180)(171, 176)(172, 181)(173, 182)(174, 183)(175, 184)(185, 193)(186, 194)(187, 195)(188, 196)(189, 197)(190, 198)(191, 199)(192, 200)(201, 209)(202, 210)(203, 211)(204, 212)(205, 213)(206, 214)(207, 215)(208, 216)(217, 225)(218, 226)(219, 227)(220, 228)(221, 229)(222, 230)(223, 231)(224, 232)(233, 241)(234, 242)(235, 243)(236, 244)(237, 245)(238, 246)(239, 247)(240, 248)(249, 253)(250, 255)(251, 254)(252, 256)
	L = (1, 129)(2, 130)(3, 131)(4, 132)(5, 133)(6, 134)(7, 135)(8, 136)(9, 137)(10, 138)(11, 139)(12, 140)(13, 141)(14, 142)(15, 143)(16, 144)(17, 145)(18, 146)(19, 147)(20, 148)(21, 149)(22, 150)(23, 151)(24, 152)(25, 153)(26, 154)(27, 155)(28, 156)(29, 157)(30, 158)(31, 159)(32, 160)(33, 161)(34, 162)(35, 163)(36, 164)(37, 165)(38, 166)(39, 167)(40, 168)(41, 169)(42, 170)(43, 171)(44, 172)(45, 173)(46, 174)(47, 175)(48, 176)(49, 177)(50, 178)(51, 179)(52, 180)(53, 181)(54, 182)(55, 183)(56, 184)(57, 185)(58, 186)(59, 187)(60, 188)(61, 189)(62, 190)(63, 191)(64, 192)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 32, 32 ), ( 32^4 ) }
Outer automorphisms :: reflexible
Dual of E13.1557
Transitivity :: ET+
Graph:: simple bipartite
	v = 96 e = 128 f = 8
	degree seq :: [ 2^64, 4^32 ]

E13.1554 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 4, 16})
Quotient :: edge
Aut^+ = ((C8 x C2) : C4) : C2 (small group id <128, 79>)
Aut   = $<256, 5090>$ (small group id <256, 5090>)
|r| :: 2
Presentation :: [ F^2, (T2^-1 * T1^-1)^2, (F * T2)^2, (F * T1)^2, T1^4, T1^-1 * T2^-1 * T1 * T2^-2 * T1 * T2^-1 * T1^-1, (T2^-3 * T1)^2, (T2 * T1^-1)^4, T2^16 ]
Map:: polytopal non-degenerate
	R = (1, 3, 10, 24, 48, 64, 80, 96, 112, 100, 84, 68, 52, 32, 14, 5)(2, 7, 17, 38, 57, 73, 89, 105, 120, 108, 92, 76, 60, 44, 20, 8)(4, 12, 27, 49, 65, 81, 97, 113, 123, 109, 93, 77, 61, 45, 22, 9)(6, 15, 33, 53, 69, 85, 101, 116, 126, 117, 102, 86, 70, 54, 36, 16)(11, 26, 35, 31, 51, 67, 83, 99, 115, 124, 110, 94, 78, 62, 46, 23)(13, 29, 50, 66, 82, 98, 114, 125, 111, 95, 79, 63, 47, 25, 34, 30)(18, 40, 21, 43, 59, 75, 91, 107, 122, 127, 118, 103, 87, 71, 55, 37)(19, 41, 58, 74, 90, 106, 121, 128, 119, 104, 88, 72, 56, 39, 28, 42)(129, 130, 134, 132)(131, 137, 149, 139)(133, 141, 146, 135)(136, 147, 162, 143)(138, 151, 161, 153)(140, 144, 163, 156)(142, 159, 164, 157)(145, 165, 155, 167)(148, 171, 150, 169)(152, 175, 187, 172)(154, 168, 158, 170)(160, 177, 183, 179)(166, 184, 178, 182)(173, 181, 174, 186)(176, 188, 197, 189)(180, 185, 198, 193)(190, 203, 191, 202)(192, 205, 219, 206)(194, 200, 195, 199)(196, 210, 215, 201)(204, 218, 207, 213)(208, 222, 229, 223)(209, 214, 211, 216)(212, 227, 230, 226)(217, 231, 225, 232)(220, 235, 221, 234)(224, 239, 250, 236)(228, 241, 246, 243)(233, 247, 242, 245)(237, 244, 238, 249)(240, 248, 254, 251)(252, 255, 253, 256)
	L = (1, 129)(2, 130)(3, 131)(4, 132)(5, 133)(6, 134)(7, 135)(8, 136)(9, 137)(10, 138)(11, 139)(12, 140)(13, 141)(14, 142)(15, 143)(16, 144)(17, 145)(18, 146)(19, 147)(20, 148)(21, 149)(22, 150)(23, 151)(24, 152)(25, 153)(26, 154)(27, 155)(28, 156)(29, 157)(30, 158)(31, 159)(32, 160)(33, 161)(34, 162)(35, 163)(36, 164)(37, 165)(38, 166)(39, 167)(40, 168)(41, 169)(42, 170)(43, 171)(44, 172)(45, 173)(46, 174)(47, 175)(48, 176)(49, 177)(50, 178)(51, 179)(52, 180)(53, 181)(54, 182)(55, 183)(56, 184)(57, 185)(58, 186)(59, 187)(60, 188)(61, 189)(62, 190)(63, 191)(64, 192)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4^4 ), ( 4^16 ) }
Outer automorphisms :: reflexible
Dual of E13.1558
Transitivity :: ET+
Graph:: simple bipartite
	v = 40 e = 128 f = 64
	degree seq :: [ 4^32, 16^8 ]

E13.1555 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 4, 16})
Quotient :: edge
Aut^+ = ((C8 x C2) : C4) : C2 (small group id <128, 79>)
Aut   = $<256, 5090>$ (small group id <256, 5090>)
|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, (T2 * T1^-4)^2, T1^16 ]
Map:: polytopal
	R = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 17)(10, 21)(11, 24)(13, 28)(14, 29)(15, 32)(18, 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, 116)(103, 118)(105, 121)(108, 120)(109, 123)(113, 124)(114, 125)(117, 126)(119, 128)(122, 127)(129, 130, 133, 139, 151, 173, 196, 213, 229, 228, 212, 195, 172, 150, 138, 132)(131, 135, 143, 159, 187, 205, 221, 237, 244, 236, 217, 198, 174, 165, 146, 136)(134, 141, 155, 181, 171, 194, 211, 227, 243, 250, 233, 215, 197, 186, 158, 142)(137, 147, 166, 192, 209, 225, 241, 245, 230, 220, 200, 176, 152, 175, 168, 148)(140, 153, 177, 170, 149, 169, 193, 210, 226, 242, 247, 231, 214, 204, 180, 154)(144, 161, 178, 157, 184, 199, 218, 232, 248, 254, 253, 239, 222, 208, 190, 162)(145, 163, 179, 202, 216, 234, 246, 255, 251, 240, 223, 206, 188, 167, 183, 156)(160, 182, 201, 191, 164, 185, 203, 219, 235, 249, 256, 252, 238, 224, 207, 189)
	L = (1, 129)(2, 130)(3, 131)(4, 132)(5, 133)(6, 134)(7, 135)(8, 136)(9, 137)(10, 138)(11, 139)(12, 140)(13, 141)(14, 142)(15, 143)(16, 144)(17, 145)(18, 146)(19, 147)(20, 148)(21, 149)(22, 150)(23, 151)(24, 152)(25, 153)(26, 154)(27, 155)(28, 156)(29, 157)(30, 158)(31, 159)(32, 160)(33, 161)(34, 162)(35, 163)(36, 164)(37, 165)(38, 166)(39, 167)(40, 168)(41, 169)(42, 170)(43, 171)(44, 172)(45, 173)(46, 174)(47, 175)(48, 176)(49, 177)(50, 178)(51, 179)(52, 180)(53, 181)(54, 182)(55, 183)(56, 184)(57, 185)(58, 186)(59, 187)(60, 188)(61, 189)(62, 190)(63, 191)(64, 192)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 8, 8 ), ( 8^16 ) }
Outer automorphisms :: reflexible
Dual of E13.1556
Transitivity :: ET+
Graph:: simple bipartite
	v = 72 e = 128 f = 32
	degree seq :: [ 2^64, 16^8 ]

E13.1556 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 4, 16})
Quotient :: loop
Aut^+ = ((C8 x C2) : C4) : C2 (small group id <128, 79>)
Aut   = $<256, 5090>$ (small group id <256, 5090>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T1)^2, (F * T2)^2, T2^4, T2^-1 * T1 * T2^-1 * T1 * T2^-2 * T1 * T2 * T1 * T2^-1, T2 * T1 * T2^-1 * T1 * T2 * T1 * T2 * T1 * T2^-1 * T1 * T2 * T1 * T2 * T1 * T2^-1 * T1 * T2 * T1 * T2 * T1 * T2^-1 * T1 * T2 * T1 * T2 * T1 * T2^-1 * T1 * T2 * T1 * T2^-1 * T1 ]
Map::
	R = (1, 129, 3, 131, 8, 136, 4, 132)(2, 130, 5, 133, 11, 139, 6, 134)(7, 135, 13, 141, 24, 152, 14, 142)(9, 137, 16, 144, 29, 157, 17, 145)(10, 138, 18, 146, 32, 160, 19, 147)(12, 140, 21, 149, 37, 165, 22, 150)(15, 143, 26, 154, 43, 171, 27, 155)(20, 148, 34, 162, 48, 176, 35, 163)(23, 151, 39, 167, 28, 156, 40, 168)(25, 153, 41, 169, 30, 158, 42, 170)(31, 159, 44, 172, 36, 164, 45, 173)(33, 161, 46, 174, 38, 166, 47, 175)(49, 177, 57, 185, 51, 179, 58, 186)(50, 178, 59, 187, 52, 180, 60, 188)(53, 181, 61, 189, 55, 183, 62, 190)(54, 182, 63, 191, 56, 184, 64, 192)(65, 193, 73, 201, 67, 195, 74, 202)(66, 194, 75, 203, 68, 196, 76, 204)(69, 197, 77, 205, 71, 199, 78, 206)(70, 198, 79, 207, 72, 200, 80, 208)(81, 209, 89, 217, 83, 211, 90, 218)(82, 210, 91, 219, 84, 212, 92, 220)(85, 213, 93, 221, 87, 215, 94, 222)(86, 214, 95, 223, 88, 216, 96, 224)(97, 225, 105, 233, 99, 227, 106, 234)(98, 226, 107, 235, 100, 228, 108, 236)(101, 229, 109, 237, 103, 231, 110, 238)(102, 230, 111, 239, 104, 232, 112, 240)(113, 241, 121, 249, 115, 243, 122, 250)(114, 242, 123, 251, 116, 244, 124, 252)(117, 245, 125, 253, 119, 247, 126, 254)(118, 246, 127, 255, 120, 248, 128, 256)
	L = (1, 130)(2, 129)(3, 135)(4, 137)(5, 138)(6, 140)(7, 131)(8, 143)(9, 132)(10, 133)(11, 148)(12, 134)(13, 151)(14, 153)(15, 136)(16, 156)(17, 158)(18, 159)(19, 161)(20, 139)(21, 164)(22, 166)(23, 141)(24, 162)(25, 142)(26, 160)(27, 165)(28, 144)(29, 163)(30, 145)(31, 146)(32, 154)(33, 147)(34, 152)(35, 157)(36, 149)(37, 155)(38, 150)(39, 177)(40, 178)(41, 179)(42, 180)(43, 176)(44, 181)(45, 182)(46, 183)(47, 184)(48, 171)(49, 167)(50, 168)(51, 169)(52, 170)(53, 172)(54, 173)(55, 174)(56, 175)(57, 193)(58, 194)(59, 195)(60, 196)(61, 197)(62, 198)(63, 199)(64, 200)(65, 185)(66, 186)(67, 187)(68, 188)(69, 189)(70, 190)(71, 191)(72, 192)(73, 209)(74, 210)(75, 211)(76, 212)(77, 213)(78, 214)(79, 215)(80, 216)(81, 201)(82, 202)(83, 203)(84, 204)(85, 205)(86, 206)(87, 207)(88, 208)(89, 225)(90, 226)(91, 227)(92, 228)(93, 229)(94, 230)(95, 231)(96, 232)(97, 217)(98, 218)(99, 219)(100, 220)(101, 221)(102, 222)(103, 223)(104, 224)(105, 241)(106, 242)(107, 243)(108, 244)(109, 245)(110, 246)(111, 247)(112, 248)(113, 233)(114, 234)(115, 235)(116, 236)(117, 237)(118, 238)(119, 239)(120, 240)(121, 253)(122, 255)(123, 254)(124, 256)(125, 249)(126, 251)(127, 250)(128, 252)
	local type(s) :: { ( 2, 16, 2, 16, 2, 16, 2, 16 ) }
Outer automorphisms :: reflexible
Dual of E13.1555
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 32 e = 128 f = 72
	degree seq :: [ 8^32 ]

E13.1557 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 4, 16})
Quotient :: loop
Aut^+ = ((C8 x C2) : C4) : C2 (small group id <128, 79>)
Aut   = $<256, 5090>$ (small group id <256, 5090>)
|r| :: 2
Presentation :: [ F^2, (T2^-1 * T1^-1)^2, (F * T2)^2, (F * T1)^2, T1^4, T1^-1 * T2^-1 * T1 * T2^-2 * T1 * T2^-1 * T1^-1, (T2^-3 * T1)^2, (T2 * T1^-1)^4, T2^16 ]
Map::
	R = (1, 129, 3, 131, 10, 138, 24, 152, 48, 176, 64, 192, 80, 208, 96, 224, 112, 240, 100, 228, 84, 212, 68, 196, 52, 180, 32, 160, 14, 142, 5, 133)(2, 130, 7, 135, 17, 145, 38, 166, 57, 185, 73, 201, 89, 217, 105, 233, 120, 248, 108, 236, 92, 220, 76, 204, 60, 188, 44, 172, 20, 148, 8, 136)(4, 132, 12, 140, 27, 155, 49, 177, 65, 193, 81, 209, 97, 225, 113, 241, 123, 251, 109, 237, 93, 221, 77, 205, 61, 189, 45, 173, 22, 150, 9, 137)(6, 134, 15, 143, 33, 161, 53, 181, 69, 197, 85, 213, 101, 229, 116, 244, 126, 254, 117, 245, 102, 230, 86, 214, 70, 198, 54, 182, 36, 164, 16, 144)(11, 139, 26, 154, 35, 163, 31, 159, 51, 179, 67, 195, 83, 211, 99, 227, 115, 243, 124, 252, 110, 238, 94, 222, 78, 206, 62, 190, 46, 174, 23, 151)(13, 141, 29, 157, 50, 178, 66, 194, 82, 210, 98, 226, 114, 242, 125, 253, 111, 239, 95, 223, 79, 207, 63, 191, 47, 175, 25, 153, 34, 162, 30, 158)(18, 146, 40, 168, 21, 149, 43, 171, 59, 187, 75, 203, 91, 219, 107, 235, 122, 250, 127, 255, 118, 246, 103, 231, 87, 215, 71, 199, 55, 183, 37, 165)(19, 147, 41, 169, 58, 186, 74, 202, 90, 218, 106, 234, 121, 249, 128, 256, 119, 247, 104, 232, 88, 216, 72, 200, 56, 184, 39, 167, 28, 156, 42, 170)
	L = (1, 130)(2, 134)(3, 137)(4, 129)(5, 141)(6, 132)(7, 133)(8, 147)(9, 149)(10, 151)(11, 131)(12, 144)(13, 146)(14, 159)(15, 136)(16, 163)(17, 165)(18, 135)(19, 162)(20, 171)(21, 139)(22, 169)(23, 161)(24, 175)(25, 138)(26, 168)(27, 167)(28, 140)(29, 142)(30, 170)(31, 164)(32, 177)(33, 153)(34, 143)(35, 156)(36, 157)(37, 155)(38, 184)(39, 145)(40, 158)(41, 148)(42, 154)(43, 150)(44, 152)(45, 181)(46, 186)(47, 187)(48, 188)(49, 183)(50, 182)(51, 160)(52, 185)(53, 174)(54, 166)(55, 179)(56, 178)(57, 198)(58, 173)(59, 172)(60, 197)(61, 176)(62, 203)(63, 202)(64, 205)(65, 180)(66, 200)(67, 199)(68, 210)(69, 189)(70, 193)(71, 194)(72, 195)(73, 196)(74, 190)(75, 191)(76, 218)(77, 219)(78, 192)(79, 213)(80, 222)(81, 214)(82, 215)(83, 216)(84, 227)(85, 204)(86, 211)(87, 201)(88, 209)(89, 231)(90, 207)(91, 206)(92, 235)(93, 234)(94, 229)(95, 208)(96, 239)(97, 232)(98, 212)(99, 230)(100, 241)(101, 223)(102, 226)(103, 225)(104, 217)(105, 247)(106, 220)(107, 221)(108, 224)(109, 244)(110, 249)(111, 250)(112, 248)(113, 246)(114, 245)(115, 228)(116, 238)(117, 233)(118, 243)(119, 242)(120, 254)(121, 237)(122, 236)(123, 240)(124, 255)(125, 256)(126, 251)(127, 253)(128, 252)
	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 E13.1553
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 8 e = 128 f = 96
	degree seq :: [ 32^8 ]

E13.1558 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 4, 16})
Quotient :: loop
Aut^+ = ((C8 x C2) : C4) : C2 (small group id <128, 79>)
Aut   = $<256, 5090>$ (small group id <256, 5090>)
|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, (T2 * T1^-4)^2, T1^16 ]
Map:: polytopal non-degenerate
	R = (1, 129, 3, 131)(2, 130, 6, 134)(4, 132, 9, 137)(5, 133, 12, 140)(7, 135, 16, 144)(8, 136, 17, 145)(10, 138, 21, 149)(11, 139, 24, 152)(13, 141, 28, 156)(14, 142, 29, 157)(15, 143, 32, 160)(18, 146, 36, 164)(19, 147, 39, 167)(20, 148, 33, 161)(22, 150, 43, 171)(23, 151, 46, 174)(25, 153, 50, 178)(26, 154, 51, 179)(27, 155, 54, 182)(30, 158, 57, 185)(31, 159, 60, 188)(34, 162, 53, 181)(35, 163, 47, 175)(37, 165, 56, 184)(38, 166, 61, 189)(40, 168, 63, 191)(41, 169, 62, 190)(42, 170, 55, 183)(44, 172, 59, 187)(45, 173, 69, 197)(48, 176, 71, 199)(49, 177, 73, 201)(52, 180, 75, 203)(58, 186, 74, 202)(64, 192, 80, 208)(65, 193, 79, 207)(66, 194, 78, 206)(67, 195, 81, 209)(68, 196, 86, 214)(70, 198, 88, 216)(72, 200, 91, 219)(76, 204, 90, 218)(77, 205, 94, 222)(82, 210, 95, 223)(83, 211, 96, 224)(84, 212, 98, 226)(85, 213, 102, 230)(87, 215, 104, 232)(89, 217, 107, 235)(92, 220, 106, 234)(93, 221, 110, 238)(97, 225, 112, 240)(99, 227, 111, 239)(100, 228, 115, 243)(101, 229, 116, 244)(103, 231, 118, 246)(105, 233, 121, 249)(108, 236, 120, 248)(109, 237, 123, 251)(113, 241, 124, 252)(114, 242, 125, 253)(117, 245, 126, 254)(119, 247, 128, 256)(122, 250, 127, 255)
	L = (1, 130)(2, 133)(3, 135)(4, 129)(5, 139)(6, 141)(7, 143)(8, 131)(9, 147)(10, 132)(11, 151)(12, 153)(13, 155)(14, 134)(15, 159)(16, 161)(17, 163)(18, 136)(19, 166)(20, 137)(21, 169)(22, 138)(23, 173)(24, 175)(25, 177)(26, 140)(27, 181)(28, 145)(29, 184)(30, 142)(31, 187)(32, 182)(33, 178)(34, 144)(35, 179)(36, 185)(37, 146)(38, 192)(39, 183)(40, 148)(41, 193)(42, 149)(43, 194)(44, 150)(45, 196)(46, 165)(47, 168)(48, 152)(49, 170)(50, 157)(51, 202)(52, 154)(53, 171)(54, 201)(55, 156)(56, 199)(57, 203)(58, 158)(59, 205)(60, 167)(61, 160)(62, 162)(63, 164)(64, 209)(65, 210)(66, 211)(67, 172)(68, 213)(69, 186)(70, 174)(71, 218)(72, 176)(73, 191)(74, 216)(75, 219)(76, 180)(77, 221)(78, 188)(79, 189)(80, 190)(81, 225)(82, 226)(83, 227)(84, 195)(85, 229)(86, 204)(87, 197)(88, 234)(89, 198)(90, 232)(91, 235)(92, 200)(93, 237)(94, 208)(95, 206)(96, 207)(97, 241)(98, 242)(99, 243)(100, 212)(101, 228)(102, 220)(103, 214)(104, 248)(105, 215)(106, 246)(107, 249)(108, 217)(109, 244)(110, 224)(111, 222)(112, 223)(113, 245)(114, 247)(115, 250)(116, 236)(117, 230)(118, 255)(119, 231)(120, 254)(121, 256)(122, 233)(123, 240)(124, 238)(125, 239)(126, 253)(127, 251)(128, 252)
	local type(s) :: { ( 4, 16, 4, 16 ) }
Outer automorphisms :: reflexible
Dual of E13.1554
Transitivity :: ET+ VT+ AT
Graph:: simple bipartite
	v = 64 e = 128 f = 40
	degree seq :: [ 4^64 ]

E13.1559 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 16})
Quotient :: dipole
Aut^+ = ((C8 x C2) : C4) : C2 (small group id <128, 79>)
Aut   = $<256, 5090>$ (small group id <256, 5090>)
|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 * Y1 * Y2^-2 * Y1 * Y2 * Y1 * Y2^-1, (Y3 * Y2^-1)^16 ]
Map::
	R = (1, 129, 2, 130)(3, 131, 7, 135)(4, 132, 9, 137)(5, 133, 10, 138)(6, 134, 12, 140)(8, 136, 15, 143)(11, 139, 20, 148)(13, 141, 23, 151)(14, 142, 25, 153)(16, 144, 28, 156)(17, 145, 30, 158)(18, 146, 31, 159)(19, 147, 33, 161)(21, 149, 36, 164)(22, 150, 38, 166)(24, 152, 34, 162)(26, 154, 32, 160)(27, 155, 37, 165)(29, 157, 35, 163)(39, 167, 49, 177)(40, 168, 50, 178)(41, 169, 51, 179)(42, 170, 52, 180)(43, 171, 48, 176)(44, 172, 53, 181)(45, 173, 54, 182)(46, 174, 55, 183)(47, 175, 56, 184)(57, 185, 65, 193)(58, 186, 66, 194)(59, 187, 67, 195)(60, 188, 68, 196)(61, 189, 69, 197)(62, 190, 70, 198)(63, 191, 71, 199)(64, 192, 72, 200)(73, 201, 81, 209)(74, 202, 82, 210)(75, 203, 83, 211)(76, 204, 84, 212)(77, 205, 85, 213)(78, 206, 86, 214)(79, 207, 87, 215)(80, 208, 88, 216)(89, 217, 97, 225)(90, 218, 98, 226)(91, 219, 99, 227)(92, 220, 100, 228)(93, 221, 101, 229)(94, 222, 102, 230)(95, 223, 103, 231)(96, 224, 104, 232)(105, 233, 113, 241)(106, 234, 114, 242)(107, 235, 115, 243)(108, 236, 116, 244)(109, 237, 117, 245)(110, 238, 118, 246)(111, 239, 119, 247)(112, 240, 120, 248)(121, 249, 125, 253)(122, 250, 127, 255)(123, 251, 126, 254)(124, 252, 128, 256)(257, 385, 259, 387, 264, 392, 260, 388)(258, 386, 261, 389, 267, 395, 262, 390)(263, 391, 269, 397, 280, 408, 270, 398)(265, 393, 272, 400, 285, 413, 273, 401)(266, 394, 274, 402, 288, 416, 275, 403)(268, 396, 277, 405, 293, 421, 278, 406)(271, 399, 282, 410, 299, 427, 283, 411)(276, 404, 290, 418, 304, 432, 291, 419)(279, 407, 295, 423, 284, 412, 296, 424)(281, 409, 297, 425, 286, 414, 298, 426)(287, 415, 300, 428, 292, 420, 301, 429)(289, 417, 302, 430, 294, 422, 303, 431)(305, 433, 313, 441, 307, 435, 314, 442)(306, 434, 315, 443, 308, 436, 316, 444)(309, 437, 317, 445, 311, 439, 318, 446)(310, 438, 319, 447, 312, 440, 320, 448)(321, 449, 329, 457, 323, 451, 330, 458)(322, 450, 331, 459, 324, 452, 332, 460)(325, 453, 333, 461, 327, 455, 334, 462)(326, 454, 335, 463, 328, 456, 336, 464)(337, 465, 345, 473, 339, 467, 346, 474)(338, 466, 347, 475, 340, 468, 348, 476)(341, 469, 349, 477, 343, 471, 350, 478)(342, 470, 351, 479, 344, 472, 352, 480)(353, 481, 361, 489, 355, 483, 362, 490)(354, 482, 363, 491, 356, 484, 364, 492)(357, 485, 365, 493, 359, 487, 366, 494)(358, 486, 367, 495, 360, 488, 368, 496)(369, 497, 377, 505, 371, 499, 378, 506)(370, 498, 379, 507, 372, 500, 380, 508)(373, 501, 381, 509, 375, 503, 382, 510)(374, 502, 383, 511, 376, 504, 384, 512)
	L = (1, 258)(2, 257)(3, 263)(4, 265)(5, 266)(6, 268)(7, 259)(8, 271)(9, 260)(10, 261)(11, 276)(12, 262)(13, 279)(14, 281)(15, 264)(16, 284)(17, 286)(18, 287)(19, 289)(20, 267)(21, 292)(22, 294)(23, 269)(24, 290)(25, 270)(26, 288)(27, 293)(28, 272)(29, 291)(30, 273)(31, 274)(32, 282)(33, 275)(34, 280)(35, 285)(36, 277)(37, 283)(38, 278)(39, 305)(40, 306)(41, 307)(42, 308)(43, 304)(44, 309)(45, 310)(46, 311)(47, 312)(48, 299)(49, 295)(50, 296)(51, 297)(52, 298)(53, 300)(54, 301)(55, 302)(56, 303)(57, 321)(58, 322)(59, 323)(60, 324)(61, 325)(62, 326)(63, 327)(64, 328)(65, 313)(66, 314)(67, 315)(68, 316)(69, 317)(70, 318)(71, 319)(72, 320)(73, 337)(74, 338)(75, 339)(76, 340)(77, 341)(78, 342)(79, 343)(80, 344)(81, 329)(82, 330)(83, 331)(84, 332)(85, 333)(86, 334)(87, 335)(88, 336)(89, 353)(90, 354)(91, 355)(92, 356)(93, 357)(94, 358)(95, 359)(96, 360)(97, 345)(98, 346)(99, 347)(100, 348)(101, 349)(102, 350)(103, 351)(104, 352)(105, 369)(106, 370)(107, 371)(108, 372)(109, 373)(110, 374)(111, 375)(112, 376)(113, 361)(114, 362)(115, 363)(116, 364)(117, 365)(118, 366)(119, 367)(120, 368)(121, 381)(122, 383)(123, 382)(124, 384)(125, 377)(126, 379)(127, 378)(128, 380)(129, 385)(130, 386)(131, 387)(132, 388)(133, 389)(134, 390)(135, 391)(136, 392)(137, 393)(138, 394)(139, 395)(140, 396)(141, 397)(142, 398)(143, 399)(144, 400)(145, 401)(146, 402)(147, 403)(148, 404)(149, 405)(150, 406)(151, 407)(152, 408)(153, 409)(154, 410)(155, 411)(156, 412)(157, 413)(158, 414)(159, 415)(160, 416)(161, 417)(162, 418)(163, 419)(164, 420)(165, 421)(166, 422)(167, 423)(168, 424)(169, 425)(170, 426)(171, 427)(172, 428)(173, 429)(174, 430)(175, 431)(176, 432)(177, 433)(178, 434)(179, 435)(180, 436)(181, 437)(182, 438)(183, 439)(184, 440)(185, 441)(186, 442)(187, 443)(188, 444)(189, 445)(190, 446)(191, 447)(192, 448)(193, 449)(194, 450)(195, 451)(196, 452)(197, 453)(198, 454)(199, 455)(200, 456)(201, 457)(202, 458)(203, 459)(204, 460)(205, 461)(206, 462)(207, 463)(208, 464)(209, 465)(210, 466)(211, 467)(212, 468)(213, 469)(214, 470)(215, 471)(216, 472)(217, 473)(218, 474)(219, 475)(220, 476)(221, 477)(222, 478)(223, 479)(224, 480)(225, 481)(226, 482)(227, 483)(228, 484)(229, 485)(230, 486)(231, 487)(232, 488)(233, 489)(234, 490)(235, 491)(236, 492)(237, 493)(238, 494)(239, 495)(240, 496)(241, 497)(242, 498)(243, 499)(244, 500)(245, 501)(246, 502)(247, 503)(248, 504)(249, 505)(250, 506)(251, 507)(252, 508)(253, 509)(254, 510)(255, 511)(256, 512)
	local type(s) :: { ( 2, 32, 2, 32 ), ( 2, 32, 2, 32, 2, 32, 2, 32 ) }
Outer automorphisms :: reflexible
Dual of E13.1562
Graph:: bipartite
	v = 96 e = 256 f = 136
	degree seq :: [ 4^64, 8^32 ]

E13.1560 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 16})
Quotient :: dipole
Aut^+ = ((C8 x C2) : C4) : C2 (small group id <128, 79>)
Aut   = $<256, 5090>$ (small group id <256, 5090>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y2^-1, (Y1^-1 * Y2^-1)^2, Y1^4, R * Y2 * R * Y3, (Y3^-1 * Y1^-1)^2, (R * Y1)^2, Y1^-1 * Y2 * Y1^-1 * Y2^2 * Y1^-1 * Y2 * Y1^-1, (Y2^3 * Y1^-1)^2, (Y2 * Y1^-1)^4, Y2^16 ]
Map::
	R = (1, 129, 2, 130, 6, 134, 4, 132)(3, 131, 9, 137, 21, 149, 11, 139)(5, 133, 13, 141, 18, 146, 7, 135)(8, 136, 19, 147, 34, 162, 15, 143)(10, 138, 23, 151, 33, 161, 25, 153)(12, 140, 16, 144, 35, 163, 28, 156)(14, 142, 31, 159, 36, 164, 29, 157)(17, 145, 37, 165, 27, 155, 39, 167)(20, 148, 43, 171, 22, 150, 41, 169)(24, 152, 47, 175, 59, 187, 44, 172)(26, 154, 40, 168, 30, 158, 42, 170)(32, 160, 49, 177, 55, 183, 51, 179)(38, 166, 56, 184, 50, 178, 54, 182)(45, 173, 53, 181, 46, 174, 58, 186)(48, 176, 60, 188, 69, 197, 61, 189)(52, 180, 57, 185, 70, 198, 65, 193)(62, 190, 75, 203, 63, 191, 74, 202)(64, 192, 77, 205, 91, 219, 78, 206)(66, 194, 72, 200, 67, 195, 71, 199)(68, 196, 82, 210, 87, 215, 73, 201)(76, 204, 90, 218, 79, 207, 85, 213)(80, 208, 94, 222, 101, 229, 95, 223)(81, 209, 86, 214, 83, 211, 88, 216)(84, 212, 99, 227, 102, 230, 98, 226)(89, 217, 103, 231, 97, 225, 104, 232)(92, 220, 107, 235, 93, 221, 106, 234)(96, 224, 111, 239, 122, 250, 108, 236)(100, 228, 113, 241, 118, 246, 115, 243)(105, 233, 119, 247, 114, 242, 117, 245)(109, 237, 116, 244, 110, 238, 121, 249)(112, 240, 120, 248, 126, 254, 123, 251)(124, 252, 127, 255, 125, 253, 128, 256)(257, 385, 259, 387, 266, 394, 280, 408, 304, 432, 320, 448, 336, 464, 352, 480, 368, 496, 356, 484, 340, 468, 324, 452, 308, 436, 288, 416, 270, 398, 261, 389)(258, 386, 263, 391, 273, 401, 294, 422, 313, 441, 329, 457, 345, 473, 361, 489, 376, 504, 364, 492, 348, 476, 332, 460, 316, 444, 300, 428, 276, 404, 264, 392)(260, 388, 268, 396, 283, 411, 305, 433, 321, 449, 337, 465, 353, 481, 369, 497, 379, 507, 365, 493, 349, 477, 333, 461, 317, 445, 301, 429, 278, 406, 265, 393)(262, 390, 271, 399, 289, 417, 309, 437, 325, 453, 341, 469, 357, 485, 372, 500, 382, 510, 373, 501, 358, 486, 342, 470, 326, 454, 310, 438, 292, 420, 272, 400)(267, 395, 282, 410, 291, 419, 287, 415, 307, 435, 323, 451, 339, 467, 355, 483, 371, 499, 380, 508, 366, 494, 350, 478, 334, 462, 318, 446, 302, 430, 279, 407)(269, 397, 285, 413, 306, 434, 322, 450, 338, 466, 354, 482, 370, 498, 381, 509, 367, 495, 351, 479, 335, 463, 319, 447, 303, 431, 281, 409, 290, 418, 286, 414)(274, 402, 296, 424, 277, 405, 299, 427, 315, 443, 331, 459, 347, 475, 363, 491, 378, 506, 383, 511, 374, 502, 359, 487, 343, 471, 327, 455, 311, 439, 293, 421)(275, 403, 297, 425, 314, 442, 330, 458, 346, 474, 362, 490, 377, 505, 384, 512, 375, 503, 360, 488, 344, 472, 328, 456, 312, 440, 295, 423, 284, 412, 298, 426)
	L = (1, 259)(2, 263)(3, 266)(4, 268)(5, 257)(6, 271)(7, 273)(8, 258)(9, 260)(10, 280)(11, 282)(12, 283)(13, 285)(14, 261)(15, 289)(16, 262)(17, 294)(18, 296)(19, 297)(20, 264)(21, 299)(22, 265)(23, 267)(24, 304)(25, 290)(26, 291)(27, 305)(28, 298)(29, 306)(30, 269)(31, 307)(32, 270)(33, 309)(34, 286)(35, 287)(36, 272)(37, 274)(38, 313)(39, 284)(40, 277)(41, 314)(42, 275)(43, 315)(44, 276)(45, 278)(46, 279)(47, 281)(48, 320)(49, 321)(50, 322)(51, 323)(52, 288)(53, 325)(54, 292)(55, 293)(56, 295)(57, 329)(58, 330)(59, 331)(60, 300)(61, 301)(62, 302)(63, 303)(64, 336)(65, 337)(66, 338)(67, 339)(68, 308)(69, 341)(70, 310)(71, 311)(72, 312)(73, 345)(74, 346)(75, 347)(76, 316)(77, 317)(78, 318)(79, 319)(80, 352)(81, 353)(82, 354)(83, 355)(84, 324)(85, 357)(86, 326)(87, 327)(88, 328)(89, 361)(90, 362)(91, 363)(92, 332)(93, 333)(94, 334)(95, 335)(96, 368)(97, 369)(98, 370)(99, 371)(100, 340)(101, 372)(102, 342)(103, 343)(104, 344)(105, 376)(106, 377)(107, 378)(108, 348)(109, 349)(110, 350)(111, 351)(112, 356)(113, 379)(114, 381)(115, 380)(116, 382)(117, 358)(118, 359)(119, 360)(120, 364)(121, 384)(122, 383)(123, 365)(124, 366)(125, 367)(126, 373)(127, 374)(128, 375)(129, 385)(130, 386)(131, 387)(132, 388)(133, 389)(134, 390)(135, 391)(136, 392)(137, 393)(138, 394)(139, 395)(140, 396)(141, 397)(142, 398)(143, 399)(144, 400)(145, 401)(146, 402)(147, 403)(148, 404)(149, 405)(150, 406)(151, 407)(152, 408)(153, 409)(154, 410)(155, 411)(156, 412)(157, 413)(158, 414)(159, 415)(160, 416)(161, 417)(162, 418)(163, 419)(164, 420)(165, 421)(166, 422)(167, 423)(168, 424)(169, 425)(170, 426)(171, 427)(172, 428)(173, 429)(174, 430)(175, 431)(176, 432)(177, 433)(178, 434)(179, 435)(180, 436)(181, 437)(182, 438)(183, 439)(184, 440)(185, 441)(186, 442)(187, 443)(188, 444)(189, 445)(190, 446)(191, 447)(192, 448)(193, 449)(194, 450)(195, 451)(196, 452)(197, 453)(198, 454)(199, 455)(200, 456)(201, 457)(202, 458)(203, 459)(204, 460)(205, 461)(206, 462)(207, 463)(208, 464)(209, 465)(210, 466)(211, 467)(212, 468)(213, 469)(214, 470)(215, 471)(216, 472)(217, 473)(218, 474)(219, 475)(220, 476)(221, 477)(222, 478)(223, 479)(224, 480)(225, 481)(226, 482)(227, 483)(228, 484)(229, 485)(230, 486)(231, 487)(232, 488)(233, 489)(234, 490)(235, 491)(236, 492)(237, 493)(238, 494)(239, 495)(240, 496)(241, 497)(242, 498)(243, 499)(244, 500)(245, 501)(246, 502)(247, 503)(248, 504)(249, 505)(250, 506)(251, 507)(252, 508)(253, 509)(254, 510)(255, 511)(256, 512)
	local type(s) :: { ( 2, 4, 2, 4, 2, 4, 2, 4 ), ( 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4 ) }
Outer automorphisms :: reflexible
Dual of E13.1561
Graph:: bipartite
	v = 40 e = 256 f = 192
	degree seq :: [ 8^32, 32^8 ]

E13.1561 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 16})
Quotient :: dipole
Aut^+ = ((C8 x C2) : C4) : C2 (small group id <128, 79>)
Aut   = $<256, 5090>$ (small group id <256, 5090>)
|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 * Y2 * Y3^-1 * Y2 * Y3 * Y2, (Y3^-4 * Y2)^2, Y3^16, (Y3^-1 * Y1^-1)^16 ]
Map:: polytopal
	R = (1, 129)(2, 130)(3, 131)(4, 132)(5, 133)(6, 134)(7, 135)(8, 136)(9, 137)(10, 138)(11, 139)(12, 140)(13, 141)(14, 142)(15, 143)(16, 144)(17, 145)(18, 146)(19, 147)(20, 148)(21, 149)(22, 150)(23, 151)(24, 152)(25, 153)(26, 154)(27, 155)(28, 156)(29, 157)(30, 158)(31, 159)(32, 160)(33, 161)(34, 162)(35, 163)(36, 164)(37, 165)(38, 166)(39, 167)(40, 168)(41, 169)(42, 170)(43, 171)(44, 172)(45, 173)(46, 174)(47, 175)(48, 176)(49, 177)(50, 178)(51, 179)(52, 180)(53, 181)(54, 182)(55, 183)(56, 184)(57, 185)(58, 186)(59, 187)(60, 188)(61, 189)(62, 190)(63, 191)(64, 192)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)(257, 385, 258, 386)(259, 387, 263, 391)(260, 388, 265, 393)(261, 389, 267, 395)(262, 390, 269, 397)(264, 392, 273, 401)(266, 394, 277, 405)(268, 396, 281, 409)(270, 398, 285, 413)(271, 399, 284, 412)(272, 400, 288, 416)(274, 402, 292, 420)(275, 403, 294, 422)(276, 404, 279, 407)(278, 406, 299, 427)(280, 408, 302, 430)(282, 410, 306, 434)(283, 411, 308, 436)(286, 414, 313, 441)(287, 415, 304, 432)(289, 417, 311, 439)(290, 418, 301, 429)(291, 419, 309, 437)(293, 421, 314, 442)(295, 423, 305, 433)(296, 424, 312, 440)(297, 425, 303, 431)(298, 426, 310, 438)(300, 428, 307, 435)(315, 443, 329, 457)(316, 444, 325, 453)(317, 445, 330, 458)(318, 446, 331, 459)(319, 447, 333, 461)(320, 448, 324, 452)(321, 449, 326, 454)(322, 450, 327, 455)(323, 451, 337, 465)(328, 456, 341, 469)(332, 460, 345, 473)(334, 462, 347, 475)(335, 463, 346, 474)(336, 464, 350, 478)(338, 466, 343, 471)(339, 467, 342, 470)(340, 468, 354, 482)(344, 472, 358, 486)(348, 476, 362, 490)(349, 477, 363, 491)(351, 479, 361, 489)(352, 480, 367, 495)(353, 481, 359, 487)(355, 483, 357, 485)(356, 484, 371, 499)(360, 488, 374, 502)(364, 492, 378, 506)(365, 493, 377, 505)(366, 494, 376, 504)(368, 496, 375, 503)(369, 497, 373, 501)(370, 498, 372, 500)(379, 507, 384, 512)(380, 508, 383, 511)(381, 509, 382, 510)
	L = (1, 259)(2, 261)(3, 264)(4, 257)(5, 268)(6, 258)(7, 271)(8, 274)(9, 275)(10, 260)(11, 279)(12, 282)(13, 283)(14, 262)(15, 287)(16, 263)(17, 290)(18, 293)(19, 295)(20, 265)(21, 297)(22, 266)(23, 301)(24, 267)(25, 304)(26, 307)(27, 309)(28, 269)(29, 311)(30, 270)(31, 302)(32, 313)(33, 272)(34, 316)(35, 273)(36, 308)(37, 319)(38, 310)(39, 320)(40, 276)(41, 321)(42, 277)(43, 322)(44, 278)(45, 288)(46, 299)(47, 280)(48, 325)(49, 281)(50, 294)(51, 328)(52, 296)(53, 329)(54, 284)(55, 330)(56, 285)(57, 331)(58, 286)(59, 289)(60, 298)(61, 291)(62, 292)(63, 336)(64, 337)(65, 338)(66, 339)(67, 300)(68, 303)(69, 312)(70, 305)(71, 306)(72, 344)(73, 345)(74, 346)(75, 347)(76, 314)(77, 315)(78, 317)(79, 318)(80, 352)(81, 353)(82, 354)(83, 355)(84, 323)(85, 324)(86, 326)(87, 327)(88, 360)(89, 361)(90, 362)(91, 363)(92, 332)(93, 333)(94, 334)(95, 335)(96, 368)(97, 369)(98, 370)(99, 371)(100, 340)(101, 341)(102, 342)(103, 343)(104, 375)(105, 376)(106, 377)(107, 378)(108, 348)(109, 349)(110, 350)(111, 351)(112, 356)(113, 381)(114, 380)(115, 379)(116, 357)(117, 358)(118, 359)(119, 364)(120, 384)(121, 383)(122, 382)(123, 365)(124, 366)(125, 367)(126, 372)(127, 373)(128, 374)(129, 385)(130, 386)(131, 387)(132, 388)(133, 389)(134, 390)(135, 391)(136, 392)(137, 393)(138, 394)(139, 395)(140, 396)(141, 397)(142, 398)(143, 399)(144, 400)(145, 401)(146, 402)(147, 403)(148, 404)(149, 405)(150, 406)(151, 407)(152, 408)(153, 409)(154, 410)(155, 411)(156, 412)(157, 413)(158, 414)(159, 415)(160, 416)(161, 417)(162, 418)(163, 419)(164, 420)(165, 421)(166, 422)(167, 423)(168, 424)(169, 425)(170, 426)(171, 427)(172, 428)(173, 429)(174, 430)(175, 431)(176, 432)(177, 433)(178, 434)(179, 435)(180, 436)(181, 437)(182, 438)(183, 439)(184, 440)(185, 441)(186, 442)(187, 443)(188, 444)(189, 445)(190, 446)(191, 447)(192, 448)(193, 449)(194, 450)(195, 451)(196, 452)(197, 453)(198, 454)(199, 455)(200, 456)(201, 457)(202, 458)(203, 459)(204, 460)(205, 461)(206, 462)(207, 463)(208, 464)(209, 465)(210, 466)(211, 467)(212, 468)(213, 469)(214, 470)(215, 471)(216, 472)(217, 473)(218, 474)(219, 475)(220, 476)(221, 477)(222, 478)(223, 479)(224, 480)(225, 481)(226, 482)(227, 483)(228, 484)(229, 485)(230, 486)(231, 487)(232, 488)(233, 489)(234, 490)(235, 491)(236, 492)(237, 493)(238, 494)(239, 495)(240, 496)(241, 497)(242, 498)(243, 499)(244, 500)(245, 501)(246, 502)(247, 503)(248, 504)(249, 505)(250, 506)(251, 507)(252, 508)(253, 509)(254, 510)(255, 511)(256, 512)
	local type(s) :: { ( 8, 32 ), ( 8, 32, 8, 32 ) }
Outer automorphisms :: reflexible
Dual of E13.1560
Graph:: simple bipartite
	v = 192 e = 256 f = 40
	degree seq :: [ 2^128, 4^64 ]

E13.1562 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 16})
Quotient :: dipole
Aut^+ = ((C8 x C2) : C4) : C2 (small group id <128, 79>)
Aut   = $<256, 5090>$ (small group id <256, 5090>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y1)^2, (R * Y3)^2, (Y3 * Y2^-1)^2, Y3^-2 * Y1 * Y3^-2 * Y1^-1, (R * Y2 * Y3^-1)^2, (Y1^-1 * Y3^-1)^4, (Y3 * Y1^-1 * Y3^-1 * Y1^-1)^2, Y3^-1 * Y1^-3 * Y3^-1 * Y1^-1 * Y3 * Y1 * Y3 * Y1^-1, Y1^-3 * Y3 * Y1^-1 * Y3^-1 * Y1 * Y3^-1 * Y1^-1 * Y3, Y3 * Y1^-4 * Y3^-1 * Y1^-4, Y1^16 ]
Map:: polytopal
	R = (1, 129, 2, 130, 5, 133, 11, 139, 23, 151, 45, 173, 68, 196, 85, 213, 101, 229, 100, 228, 84, 212, 67, 195, 44, 172, 22, 150, 10, 138, 4, 132)(3, 131, 7, 135, 15, 143, 31, 159, 59, 187, 77, 205, 93, 221, 109, 237, 116, 244, 108, 236, 89, 217, 70, 198, 46, 174, 37, 165, 18, 146, 8, 136)(6, 134, 13, 141, 27, 155, 53, 181, 43, 171, 66, 194, 83, 211, 99, 227, 115, 243, 122, 250, 105, 233, 87, 215, 69, 197, 58, 186, 30, 158, 14, 142)(9, 137, 19, 147, 38, 166, 64, 192, 81, 209, 97, 225, 113, 241, 117, 245, 102, 230, 92, 220, 72, 200, 48, 176, 24, 152, 47, 175, 40, 168, 20, 148)(12, 140, 25, 153, 49, 177, 42, 170, 21, 149, 41, 169, 65, 193, 82, 210, 98, 226, 114, 242, 119, 247, 103, 231, 86, 214, 76, 204, 52, 180, 26, 154)(16, 144, 33, 161, 50, 178, 29, 157, 56, 184, 71, 199, 90, 218, 104, 232, 120, 248, 126, 254, 125, 253, 111, 239, 94, 222, 80, 208, 62, 190, 34, 162)(17, 145, 35, 163, 51, 179, 74, 202, 88, 216, 106, 234, 118, 246, 127, 255, 123, 251, 112, 240, 95, 223, 78, 206, 60, 188, 39, 167, 55, 183, 28, 156)(32, 160, 54, 182, 73, 201, 63, 191, 36, 164, 57, 185, 75, 203, 91, 219, 107, 235, 121, 249, 128, 256, 124, 252, 110, 238, 96, 224, 79, 207, 61, 189)(257, 385)(258, 386)(259, 387)(260, 388)(261, 389)(262, 390)(263, 391)(264, 392)(265, 393)(266, 394)(267, 395)(268, 396)(269, 397)(270, 398)(271, 399)(272, 400)(273, 401)(274, 402)(275, 403)(276, 404)(277, 405)(278, 406)(279, 407)(280, 408)(281, 409)(282, 410)(283, 411)(284, 412)(285, 413)(286, 414)(287, 415)(288, 416)(289, 417)(290, 418)(291, 419)(292, 420)(293, 421)(294, 422)(295, 423)(296, 424)(297, 425)(298, 426)(299, 427)(300, 428)(301, 429)(302, 430)(303, 431)(304, 432)(305, 433)(306, 434)(307, 435)(308, 436)(309, 437)(310, 438)(311, 439)(312, 440)(313, 441)(314, 442)(315, 443)(316, 444)(317, 445)(318, 446)(319, 447)(320, 448)(321, 449)(322, 450)(323, 451)(324, 452)(325, 453)(326, 454)(327, 455)(328, 456)(329, 457)(330, 458)(331, 459)(332, 460)(333, 461)(334, 462)(335, 463)(336, 464)(337, 465)(338, 466)(339, 467)(340, 468)(341, 469)(342, 470)(343, 471)(344, 472)(345, 473)(346, 474)(347, 475)(348, 476)(349, 477)(350, 478)(351, 479)(352, 480)(353, 481)(354, 482)(355, 483)(356, 484)(357, 485)(358, 486)(359, 487)(360, 488)(361, 489)(362, 490)(363, 491)(364, 492)(365, 493)(366, 494)(367, 495)(368, 496)(369, 497)(370, 498)(371, 499)(372, 500)(373, 501)(374, 502)(375, 503)(376, 504)(377, 505)(378, 506)(379, 507)(380, 508)(381, 509)(382, 510)(383, 511)(384, 512)
	L = (1, 259)(2, 262)(3, 257)(4, 265)(5, 268)(6, 258)(7, 272)(8, 273)(9, 260)(10, 277)(11, 280)(12, 261)(13, 284)(14, 285)(15, 288)(16, 263)(17, 264)(18, 292)(19, 295)(20, 289)(21, 266)(22, 299)(23, 302)(24, 267)(25, 306)(26, 307)(27, 310)(28, 269)(29, 270)(30, 313)(31, 316)(32, 271)(33, 276)(34, 309)(35, 303)(36, 274)(37, 312)(38, 317)(39, 275)(40, 319)(41, 318)(42, 311)(43, 278)(44, 315)(45, 325)(46, 279)(47, 291)(48, 327)(49, 329)(50, 281)(51, 282)(52, 331)(53, 290)(54, 283)(55, 298)(56, 293)(57, 286)(58, 330)(59, 300)(60, 287)(61, 294)(62, 297)(63, 296)(64, 336)(65, 335)(66, 334)(67, 337)(68, 342)(69, 301)(70, 344)(71, 304)(72, 347)(73, 305)(74, 314)(75, 308)(76, 346)(77, 350)(78, 322)(79, 321)(80, 320)(81, 323)(82, 351)(83, 352)(84, 354)(85, 358)(86, 324)(87, 360)(88, 326)(89, 363)(90, 332)(91, 328)(92, 362)(93, 366)(94, 333)(95, 338)(96, 339)(97, 368)(98, 340)(99, 367)(100, 371)(101, 372)(102, 341)(103, 374)(104, 343)(105, 377)(106, 348)(107, 345)(108, 376)(109, 379)(110, 349)(111, 355)(112, 353)(113, 380)(114, 381)(115, 356)(116, 357)(117, 382)(118, 359)(119, 384)(120, 364)(121, 361)(122, 383)(123, 365)(124, 369)(125, 370)(126, 373)(127, 378)(128, 375)(129, 385)(130, 386)(131, 387)(132, 388)(133, 389)(134, 390)(135, 391)(136, 392)(137, 393)(138, 394)(139, 395)(140, 396)(141, 397)(142, 398)(143, 399)(144, 400)(145, 401)(146, 402)(147, 403)(148, 404)(149, 405)(150, 406)(151, 407)(152, 408)(153, 409)(154, 410)(155, 411)(156, 412)(157, 413)(158, 414)(159, 415)(160, 416)(161, 417)(162, 418)(163, 419)(164, 420)(165, 421)(166, 422)(167, 423)(168, 424)(169, 425)(170, 426)(171, 427)(172, 428)(173, 429)(174, 430)(175, 431)(176, 432)(177, 433)(178, 434)(179, 435)(180, 436)(181, 437)(182, 438)(183, 439)(184, 440)(185, 441)(186, 442)(187, 443)(188, 444)(189, 445)(190, 446)(191, 447)(192, 448)(193, 449)(194, 450)(195, 451)(196, 452)(197, 453)(198, 454)(199, 455)(200, 456)(201, 457)(202, 458)(203, 459)(204, 460)(205, 461)(206, 462)(207, 463)(208, 464)(209, 465)(210, 466)(211, 467)(212, 468)(213, 469)(214, 470)(215, 471)(216, 472)(217, 473)(218, 474)(219, 475)(220, 476)(221, 477)(222, 478)(223, 479)(224, 480)(225, 481)(226, 482)(227, 483)(228, 484)(229, 485)(230, 486)(231, 487)(232, 488)(233, 489)(234, 490)(235, 491)(236, 492)(237, 493)(238, 494)(239, 495)(240, 496)(241, 497)(242, 498)(243, 499)(244, 500)(245, 501)(246, 502)(247, 503)(248, 504)(249, 505)(250, 506)(251, 507)(252, 508)(253, 509)(254, 510)(255, 511)(256, 512)
	local type(s) :: { ( 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8, 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 E13.1559
Graph:: simple bipartite
	v = 136 e = 256 f = 96
	degree seq :: [ 2^128, 32^8 ]

E13.1563 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 16})
Quotient :: dipole
Aut^+ = ((C8 x C2) : C4) : C2 (small group id <128, 79>)
Aut   = $<256, 5090>$ (small group id <256, 5090>)
|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, Y2^16 ]
Map::
	R = (1, 129, 2, 130)(3, 131, 7, 135)(4, 132, 9, 137)(5, 133, 11, 139)(6, 134, 13, 141)(8, 136, 17, 145)(10, 138, 21, 149)(12, 140, 25, 153)(14, 142, 29, 157)(15, 143, 28, 156)(16, 144, 32, 160)(18, 146, 36, 164)(19, 147, 38, 166)(20, 148, 23, 151)(22, 150, 43, 171)(24, 152, 46, 174)(26, 154, 50, 178)(27, 155, 52, 180)(30, 158, 57, 185)(31, 159, 48, 176)(33, 161, 55, 183)(34, 162, 45, 173)(35, 163, 53, 181)(37, 165, 58, 186)(39, 167, 49, 177)(40, 168, 56, 184)(41, 169, 47, 175)(42, 170, 54, 182)(44, 172, 51, 179)(59, 187, 73, 201)(60, 188, 69, 197)(61, 189, 74, 202)(62, 190, 75, 203)(63, 191, 77, 205)(64, 192, 68, 196)(65, 193, 70, 198)(66, 194, 71, 199)(67, 195, 81, 209)(72, 200, 85, 213)(76, 204, 89, 217)(78, 206, 91, 219)(79, 207, 90, 218)(80, 208, 94, 222)(82, 210, 87, 215)(83, 211, 86, 214)(84, 212, 98, 226)(88, 216, 102, 230)(92, 220, 106, 234)(93, 221, 107, 235)(95, 223, 105, 233)(96, 224, 111, 239)(97, 225, 103, 231)(99, 227, 101, 229)(100, 228, 115, 243)(104, 232, 118, 246)(108, 236, 122, 250)(109, 237, 121, 249)(110, 238, 120, 248)(112, 240, 119, 247)(113, 241, 117, 245)(114, 242, 116, 244)(123, 251, 128, 256)(124, 252, 127, 255)(125, 253, 126, 254)(257, 385, 259, 387, 264, 392, 274, 402, 293, 421, 319, 447, 336, 464, 352, 480, 368, 496, 356, 484, 340, 468, 323, 451, 300, 428, 278, 406, 266, 394, 260, 388)(258, 386, 261, 389, 268, 396, 282, 410, 307, 435, 328, 456, 344, 472, 360, 488, 375, 503, 364, 492, 348, 476, 332, 460, 314, 442, 286, 414, 270, 398, 262, 390)(263, 391, 271, 399, 287, 415, 302, 430, 299, 427, 322, 450, 339, 467, 355, 483, 371, 499, 379, 507, 365, 493, 349, 477, 333, 461, 315, 443, 289, 417, 272, 400)(265, 393, 275, 403, 295, 423, 320, 448, 337, 465, 353, 481, 369, 497, 381, 509, 367, 495, 351, 479, 335, 463, 318, 446, 292, 420, 308, 436, 296, 424, 276, 404)(267, 395, 279, 407, 301, 429, 288, 416, 313, 441, 331, 459, 347, 475, 363, 491, 378, 506, 382, 510, 372, 500, 357, 485, 341, 469, 324, 452, 303, 431, 280, 408)(269, 397, 283, 411, 309, 437, 329, 457, 345, 473, 361, 489, 376, 504, 384, 512, 374, 502, 359, 487, 343, 471, 327, 455, 306, 434, 294, 422, 310, 438, 284, 412)(273, 401, 290, 418, 316, 444, 298, 426, 277, 405, 297, 425, 321, 449, 338, 466, 354, 482, 370, 498, 380, 508, 366, 494, 350, 478, 334, 462, 317, 445, 291, 419)(281, 409, 304, 432, 325, 453, 312, 440, 285, 413, 311, 439, 330, 458, 346, 474, 362, 490, 377, 505, 383, 511, 373, 501, 358, 486, 342, 470, 326, 454, 305, 433)
	L = (1, 258)(2, 257)(3, 263)(4, 265)(5, 267)(6, 269)(7, 259)(8, 273)(9, 260)(10, 277)(11, 261)(12, 281)(13, 262)(14, 285)(15, 284)(16, 288)(17, 264)(18, 292)(19, 294)(20, 279)(21, 266)(22, 299)(23, 276)(24, 302)(25, 268)(26, 306)(27, 308)(28, 271)(29, 270)(30, 313)(31, 304)(32, 272)(33, 311)(34, 301)(35, 309)(36, 274)(37, 314)(38, 275)(39, 305)(40, 312)(41, 303)(42, 310)(43, 278)(44, 307)(45, 290)(46, 280)(47, 297)(48, 287)(49, 295)(50, 282)(51, 300)(52, 283)(53, 291)(54, 298)(55, 289)(56, 296)(57, 286)(58, 293)(59, 329)(60, 325)(61, 330)(62, 331)(63, 333)(64, 324)(65, 326)(66, 327)(67, 337)(68, 320)(69, 316)(70, 321)(71, 322)(72, 341)(73, 315)(74, 317)(75, 318)(76, 345)(77, 319)(78, 347)(79, 346)(80, 350)(81, 323)(82, 343)(83, 342)(84, 354)(85, 328)(86, 339)(87, 338)(88, 358)(89, 332)(90, 335)(91, 334)(92, 362)(93, 363)(94, 336)(95, 361)(96, 367)(97, 359)(98, 340)(99, 357)(100, 371)(101, 355)(102, 344)(103, 353)(104, 374)(105, 351)(106, 348)(107, 349)(108, 378)(109, 377)(110, 376)(111, 352)(112, 375)(113, 373)(114, 372)(115, 356)(116, 370)(117, 369)(118, 360)(119, 368)(120, 366)(121, 365)(122, 364)(123, 384)(124, 383)(125, 382)(126, 381)(127, 380)(128, 379)(129, 385)(130, 386)(131, 387)(132, 388)(133, 389)(134, 390)(135, 391)(136, 392)(137, 393)(138, 394)(139, 395)(140, 396)(141, 397)(142, 398)(143, 399)(144, 400)(145, 401)(146, 402)(147, 403)(148, 404)(149, 405)(150, 406)(151, 407)(152, 408)(153, 409)(154, 410)(155, 411)(156, 412)(157, 413)(158, 414)(159, 415)(160, 416)(161, 417)(162, 418)(163, 419)(164, 420)(165, 421)(166, 422)(167, 423)(168, 424)(169, 425)(170, 426)(171, 427)(172, 428)(173, 429)(174, 430)(175, 431)(176, 432)(177, 433)(178, 434)(179, 435)(180, 436)(181, 437)(182, 438)(183, 439)(184, 440)(185, 441)(186, 442)(187, 443)(188, 444)(189, 445)(190, 446)(191, 447)(192, 448)(193, 449)(194, 450)(195, 451)(196, 452)(197, 453)(198, 454)(199, 455)(200, 456)(201, 457)(202, 458)(203, 459)(204, 460)(205, 461)(206, 462)(207, 463)(208, 464)(209, 465)(210, 466)(211, 467)(212, 468)(213, 469)(214, 470)(215, 471)(216, 472)(217, 473)(218, 474)(219, 475)(220, 476)(221, 477)(222, 478)(223, 479)(224, 480)(225, 481)(226, 482)(227, 483)(228, 484)(229, 485)(230, 486)(231, 487)(232, 488)(233, 489)(234, 490)(235, 491)(236, 492)(237, 493)(238, 494)(239, 495)(240, 496)(241, 497)(242, 498)(243, 499)(244, 500)(245, 501)(246, 502)(247, 503)(248, 504)(249, 505)(250, 506)(251, 507)(252, 508)(253, 509)(254, 510)(255, 511)(256, 512)
	local type(s) :: { ( 2, 8, 2, 8 ), ( 2, 8, 2, 8, 2, 8, 2, 8, 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 E13.1564
Graph:: bipartite
	v = 72 e = 256 f = 160
	degree seq :: [ 4^64, 32^8 ]

E13.1564 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 16})
Quotient :: dipole
Aut^+ = ((C8 x C2) : C4) : C2 (small group id <128, 79>)
Aut   = $<256, 5090>$ (small group id <256, 5090>)
|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^-1 * Y1 * Y3^-2 * Y1 * Y3^-1 * Y1^-1, (Y3^-3 * Y1)^2, (Y3 * Y1^-1)^4, (Y3 * Y2^-1)^16 ]
Map:: polytopal
	R = (1, 129, 2, 130, 6, 134, 4, 132)(3, 131, 9, 137, 21, 149, 11, 139)(5, 133, 13, 141, 18, 146, 7, 135)(8, 136, 19, 147, 34, 162, 15, 143)(10, 138, 23, 151, 33, 161, 25, 153)(12, 140, 16, 144, 35, 163, 28, 156)(14, 142, 31, 159, 36, 164, 29, 157)(17, 145, 37, 165, 27, 155, 39, 167)(20, 148, 43, 171, 22, 150, 41, 169)(24, 152, 47, 175, 59, 187, 44, 172)(26, 154, 40, 168, 30, 158, 42, 170)(32, 160, 49, 177, 55, 183, 51, 179)(38, 166, 56, 184, 50, 178, 54, 182)(45, 173, 53, 181, 46, 174, 58, 186)(48, 176, 60, 188, 69, 197, 61, 189)(52, 180, 57, 185, 70, 198, 65, 193)(62, 190, 75, 203, 63, 191, 74, 202)(64, 192, 77, 205, 91, 219, 78, 206)(66, 194, 72, 200, 67, 195, 71, 199)(68, 196, 82, 210, 87, 215, 73, 201)(76, 204, 90, 218, 79, 207, 85, 213)(80, 208, 94, 222, 101, 229, 95, 223)(81, 209, 86, 214, 83, 211, 88, 216)(84, 212, 99, 227, 102, 230, 98, 226)(89, 217, 103, 231, 97, 225, 104, 232)(92, 220, 107, 235, 93, 221, 106, 234)(96, 224, 111, 239, 122, 250, 108, 236)(100, 228, 113, 241, 118, 246, 115, 243)(105, 233, 119, 247, 114, 242, 117, 245)(109, 237, 116, 244, 110, 238, 121, 249)(112, 240, 120, 248, 126, 254, 123, 251)(124, 252, 127, 255, 125, 253, 128, 256)(257, 385)(258, 386)(259, 387)(260, 388)(261, 389)(262, 390)(263, 391)(264, 392)(265, 393)(266, 394)(267, 395)(268, 396)(269, 397)(270, 398)(271, 399)(272, 400)(273, 401)(274, 402)(275, 403)(276, 404)(277, 405)(278, 406)(279, 407)(280, 408)(281, 409)(282, 410)(283, 411)(284, 412)(285, 413)(286, 414)(287, 415)(288, 416)(289, 417)(290, 418)(291, 419)(292, 420)(293, 421)(294, 422)(295, 423)(296, 424)(297, 425)(298, 426)(299, 427)(300, 428)(301, 429)(302, 430)(303, 431)(304, 432)(305, 433)(306, 434)(307, 435)(308, 436)(309, 437)(310, 438)(311, 439)(312, 440)(313, 441)(314, 442)(315, 443)(316, 444)(317, 445)(318, 446)(319, 447)(320, 448)(321, 449)(322, 450)(323, 451)(324, 452)(325, 453)(326, 454)(327, 455)(328, 456)(329, 457)(330, 458)(331, 459)(332, 460)(333, 461)(334, 462)(335, 463)(336, 464)(337, 465)(338, 466)(339, 467)(340, 468)(341, 469)(342, 470)(343, 471)(344, 472)(345, 473)(346, 474)(347, 475)(348, 476)(349, 477)(350, 478)(351, 479)(352, 480)(353, 481)(354, 482)(355, 483)(356, 484)(357, 485)(358, 486)(359, 487)(360, 488)(361, 489)(362, 490)(363, 491)(364, 492)(365, 493)(366, 494)(367, 495)(368, 496)(369, 497)(370, 498)(371, 499)(372, 500)(373, 501)(374, 502)(375, 503)(376, 504)(377, 505)(378, 506)(379, 507)(380, 508)(381, 509)(382, 510)(383, 511)(384, 512)
	L = (1, 259)(2, 263)(3, 266)(4, 268)(5, 257)(6, 271)(7, 273)(8, 258)(9, 260)(10, 280)(11, 282)(12, 283)(13, 285)(14, 261)(15, 289)(16, 262)(17, 294)(18, 296)(19, 297)(20, 264)(21, 299)(22, 265)(23, 267)(24, 304)(25, 290)(26, 291)(27, 305)(28, 298)(29, 306)(30, 269)(31, 307)(32, 270)(33, 309)(34, 286)(35, 287)(36, 272)(37, 274)(38, 313)(39, 284)(40, 277)(41, 314)(42, 275)(43, 315)(44, 276)(45, 278)(46, 279)(47, 281)(48, 320)(49, 321)(50, 322)(51, 323)(52, 288)(53, 325)(54, 292)(55, 293)(56, 295)(57, 329)(58, 330)(59, 331)(60, 300)(61, 301)(62, 302)(63, 303)(64, 336)(65, 337)(66, 338)(67, 339)(68, 308)(69, 341)(70, 310)(71, 311)(72, 312)(73, 345)(74, 346)(75, 347)(76, 316)(77, 317)(78, 318)(79, 319)(80, 352)(81, 353)(82, 354)(83, 355)(84, 324)(85, 357)(86, 326)(87, 327)(88, 328)(89, 361)(90, 362)(91, 363)(92, 332)(93, 333)(94, 334)(95, 335)(96, 368)(97, 369)(98, 370)(99, 371)(100, 340)(101, 372)(102, 342)(103, 343)(104, 344)(105, 376)(106, 377)(107, 378)(108, 348)(109, 349)(110, 350)(111, 351)(112, 356)(113, 379)(114, 381)(115, 380)(116, 382)(117, 358)(118, 359)(119, 360)(120, 364)(121, 384)(122, 383)(123, 365)(124, 366)(125, 367)(126, 373)(127, 374)(128, 375)(129, 385)(130, 386)(131, 387)(132, 388)(133, 389)(134, 390)(135, 391)(136, 392)(137, 393)(138, 394)(139, 395)(140, 396)(141, 397)(142, 398)(143, 399)(144, 400)(145, 401)(146, 402)(147, 403)(148, 404)(149, 405)(150, 406)(151, 407)(152, 408)(153, 409)(154, 410)(155, 411)(156, 412)(157, 413)(158, 414)(159, 415)(160, 416)(161, 417)(162, 418)(163, 419)(164, 420)(165, 421)(166, 422)(167, 423)(168, 424)(169, 425)(170, 426)(171, 427)(172, 428)(173, 429)(174, 430)(175, 431)(176, 432)(177, 433)(178, 434)(179, 435)(180, 436)(181, 437)(182, 438)(183, 439)(184, 440)(185, 441)(186, 442)(187, 443)(188, 444)(189, 445)(190, 446)(191, 447)(192, 448)(193, 449)(194, 450)(195, 451)(196, 452)(197, 453)(198, 454)(199, 455)(200, 456)(201, 457)(202, 458)(203, 459)(204, 460)(205, 461)(206, 462)(207, 463)(208, 464)(209, 465)(210, 466)(211, 467)(212, 468)(213, 469)(214, 470)(215, 471)(216, 472)(217, 473)(218, 474)(219, 475)(220, 476)(221, 477)(222, 478)(223, 479)(224, 480)(225, 481)(226, 482)(227, 483)(228, 484)(229, 485)(230, 486)(231, 487)(232, 488)(233, 489)(234, 490)(235, 491)(236, 492)(237, 493)(238, 494)(239, 495)(240, 496)(241, 497)(242, 498)(243, 499)(244, 500)(245, 501)(246, 502)(247, 503)(248, 504)(249, 505)(250, 506)(251, 507)(252, 508)(253, 509)(254, 510)(255, 511)(256, 512)
	local type(s) :: { ( 4, 32 ), ( 4, 32, 4, 32, 4, 32, 4, 32 ) }
Outer automorphisms :: reflexible
Dual of E13.1563
Graph:: simple bipartite
	v = 160 e = 256 f = 72
	degree seq :: [ 2^128, 8^32 ]

E13.1565 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 3})
Quotient :: dipole
Aut^+ = S3 x S4 (small group id <144, 183>)
Aut   = $<288, 1028>$ (small group id <288, 1028>)
|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)^3, (Y1 * Y2)^6, (Y2 * Y1 * Y3 * Y2 * Y1)^4 ]
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, 19, 163)(13, 157, 21, 165)(14, 158, 23, 167)(16, 160, 25, 169)(17, 161, 26, 170)(18, 162, 28, 172)(20, 164, 30, 174)(22, 166, 33, 177)(24, 168, 35, 179)(27, 171, 40, 184)(29, 173, 42, 186)(31, 175, 38, 182)(32, 176, 46, 190)(34, 178, 48, 192)(36, 180, 51, 195)(37, 181, 44, 188)(39, 183, 54, 198)(41, 185, 56, 200)(43, 187, 59, 203)(45, 189, 61, 205)(47, 191, 63, 207)(49, 193, 66, 210)(50, 194, 65, 209)(52, 196, 69, 213)(53, 197, 70, 214)(55, 199, 72, 216)(57, 201, 75, 219)(58, 202, 74, 218)(60, 204, 78, 222)(62, 206, 80, 224)(64, 208, 83, 227)(67, 211, 86, 230)(68, 212, 87, 231)(71, 215, 90, 234)(73, 217, 93, 237)(76, 220, 96, 240)(77, 221, 97, 241)(79, 223, 99, 243)(81, 225, 102, 246)(82, 226, 101, 245)(84, 228, 105, 249)(85, 229, 106, 250)(88, 232, 109, 253)(89, 233, 110, 254)(91, 235, 113, 257)(92, 236, 112, 256)(94, 238, 116, 260)(95, 239, 117, 261)(98, 242, 120, 264)(100, 244, 123, 267)(103, 247, 118, 262)(104, 248, 126, 270)(107, 251, 114, 258)(108, 252, 129, 273)(111, 255, 132, 276)(115, 259, 135, 279)(119, 263, 138, 282)(121, 265, 139, 283)(122, 266, 131, 275)(124, 268, 136, 280)(125, 269, 137, 281)(127, 271, 133, 277)(128, 272, 134, 278)(130, 274, 142, 286)(140, 284, 144, 288)(141, 285, 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, 305, 449)(300, 444, 308, 452)(302, 446, 310, 454)(303, 447, 312, 456)(306, 450, 315, 459)(307, 451, 317, 461)(309, 453, 319, 463)(311, 455, 322, 466)(313, 457, 324, 468)(314, 458, 326, 470)(316, 460, 329, 473)(318, 462, 331, 475)(320, 464, 333, 477)(321, 465, 335, 479)(323, 467, 337, 481)(325, 469, 340, 484)(327, 471, 341, 485)(328, 472, 343, 487)(330, 474, 345, 489)(332, 476, 348, 492)(334, 478, 350, 494)(336, 480, 352, 496)(338, 482, 355, 499)(339, 483, 354, 498)(342, 486, 359, 503)(344, 488, 361, 505)(346, 490, 364, 508)(347, 491, 363, 507)(349, 493, 367, 511)(351, 495, 369, 513)(353, 497, 372, 516)(356, 500, 373, 517)(357, 501, 376, 520)(358, 502, 377, 521)(360, 504, 379, 523)(362, 506, 382, 526)(365, 509, 383, 527)(366, 510, 386, 530)(368, 512, 388, 532)(370, 514, 391, 535)(371, 515, 390, 534)(374, 518, 395, 539)(375, 519, 396, 540)(378, 522, 399, 543)(380, 524, 402, 546)(381, 525, 401, 545)(384, 528, 406, 550)(385, 529, 407, 551)(387, 531, 409, 553)(389, 533, 412, 556)(392, 536, 413, 557)(393, 537, 415, 559)(394, 538, 416, 560)(397, 541, 410, 554)(398, 542, 418, 562)(400, 544, 421, 565)(403, 547, 422, 566)(404, 548, 424, 568)(405, 549, 425, 569)(408, 552, 419, 563)(411, 555, 427, 571)(414, 558, 429, 573)(417, 561, 428, 572)(420, 564, 430, 574)(423, 567, 432, 576)(426, 570, 431, 575)
	L = (1, 292)(2, 294)(3, 296)(4, 289)(5, 299)(6, 290)(7, 302)(8, 291)(9, 300)(10, 306)(11, 293)(12, 297)(13, 310)(14, 295)(15, 311)(16, 308)(17, 315)(18, 298)(19, 316)(20, 304)(21, 320)(22, 301)(23, 303)(24, 322)(25, 325)(26, 327)(27, 305)(28, 307)(29, 329)(30, 332)(31, 333)(32, 309)(33, 334)(34, 312)(35, 338)(36, 340)(37, 313)(38, 341)(39, 314)(40, 342)(41, 317)(42, 346)(43, 348)(44, 318)(45, 319)(46, 321)(47, 350)(48, 353)(49, 355)(50, 323)(51, 356)(52, 324)(53, 326)(54, 328)(55, 359)(56, 362)(57, 364)(58, 330)(59, 365)(60, 331)(61, 358)(62, 335)(63, 370)(64, 372)(65, 336)(66, 373)(67, 337)(68, 339)(69, 375)(70, 349)(71, 343)(72, 380)(73, 382)(74, 344)(75, 383)(76, 345)(77, 347)(78, 385)(79, 377)(80, 389)(81, 391)(82, 351)(83, 392)(84, 352)(85, 354)(86, 394)(87, 357)(88, 396)(89, 367)(90, 400)(91, 402)(92, 360)(93, 403)(94, 361)(95, 363)(96, 405)(97, 366)(98, 407)(99, 410)(100, 412)(101, 368)(102, 413)(103, 369)(104, 371)(105, 414)(106, 374)(107, 416)(108, 376)(109, 409)(110, 419)(111, 421)(112, 378)(113, 422)(114, 379)(115, 381)(116, 423)(117, 384)(118, 425)(119, 386)(120, 418)(121, 397)(122, 387)(123, 428)(124, 388)(125, 390)(126, 393)(127, 429)(128, 395)(129, 427)(130, 408)(131, 398)(132, 431)(133, 399)(134, 401)(135, 404)(136, 432)(137, 406)(138, 430)(139, 417)(140, 411)(141, 415)(142, 426)(143, 420)(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, 6, 4, 6 ) }
Outer automorphisms :: reflexible
Dual of E13.1571
Graph:: simple bipartite
	v = 144 e = 288 f = 120
	degree seq :: [ 4^144 ]

E13.1566 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 3})
Quotient :: dipole
Aut^+ = S3 x S4 (small group id <144, 183>)
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, Y3^4, Y2 * Y3^-2 * R * Y2 * R, (Y3^-1 * Y1)^3, Y3^-1 * Y1 * Y2 * Y1 * Y3 * Y2 * Y1 * Y2 * Y1 * Y2, Y3^-1 * Y2 * Y3 * Y1 * Y2 * Y3 * Y1 * Y2 * Y1 * Y3^-1 * Y2 * Y1, (Y3^-1 * Y1 * Y2 * Y1 * Y3 * Y1)^2, Y3^-2 * Y1 * Y2 * Y1 * Y3^2 * Y1 * Y3^-2 * Y2 * Y1, (Y2 * Y1 * R * Y3^2 * Y1)^2 ]
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, 24, 168)(11, 155, 26, 170)(13, 157, 29, 173)(16, 160, 35, 179)(17, 161, 37, 181)(19, 163, 40, 184)(21, 165, 43, 187)(22, 166, 46, 190)(23, 167, 48, 192)(25, 169, 51, 195)(27, 171, 54, 198)(28, 172, 56, 200)(30, 174, 59, 203)(31, 175, 58, 202)(32, 176, 61, 205)(33, 177, 64, 208)(34, 178, 66, 210)(36, 180, 69, 213)(38, 182, 72, 216)(39, 183, 74, 218)(41, 185, 77, 221)(42, 186, 76, 220)(44, 188, 82, 226)(45, 189, 70, 214)(47, 191, 86, 230)(49, 193, 89, 233)(50, 194, 91, 235)(52, 196, 63, 207)(53, 197, 93, 237)(55, 199, 98, 242)(57, 201, 101, 245)(60, 204, 104, 248)(62, 206, 108, 252)(65, 209, 112, 256)(67, 211, 115, 259)(68, 212, 117, 261)(71, 215, 119, 263)(73, 217, 124, 268)(75, 219, 127, 271)(78, 222, 130, 274)(79, 223, 105, 249)(80, 224, 120, 264)(81, 225, 113, 257)(83, 227, 132, 276)(84, 228, 121, 265)(85, 229, 125, 269)(87, 231, 107, 251)(88, 232, 128, 272)(90, 234, 135, 279)(92, 236, 137, 281)(94, 238, 106, 250)(95, 239, 110, 254)(96, 240, 129, 273)(97, 241, 123, 267)(99, 243, 111, 255)(100, 244, 126, 270)(102, 246, 114, 258)(103, 247, 122, 266)(109, 253, 139, 283)(116, 260, 142, 286)(118, 262, 144, 288)(131, 275, 141, 285)(133, 277, 143, 287)(134, 278, 138, 282)(136, 280, 140, 284)(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, 315, 459)(301, 445, 313, 457)(302, 446, 318, 462)(303, 447, 320, 464)(306, 450, 326, 470)(307, 451, 324, 468)(308, 452, 329, 473)(310, 454, 333, 477)(311, 455, 332, 476)(312, 456, 337, 481)(314, 458, 340, 484)(316, 460, 343, 487)(317, 461, 345, 489)(319, 463, 348, 492)(321, 465, 351, 495)(322, 466, 350, 494)(323, 467, 355, 499)(325, 469, 358, 502)(327, 471, 361, 505)(328, 472, 363, 507)(330, 474, 366, 510)(331, 475, 367, 511)(334, 478, 372, 516)(335, 479, 371, 515)(336, 480, 375, 519)(338, 482, 378, 522)(339, 483, 380, 524)(341, 485, 382, 526)(342, 486, 383, 527)(344, 488, 387, 531)(346, 490, 390, 534)(347, 491, 368, 512)(349, 493, 393, 537)(352, 496, 398, 542)(353, 497, 397, 541)(354, 498, 401, 545)(356, 500, 404, 548)(357, 501, 406, 550)(359, 503, 408, 552)(360, 504, 409, 553)(362, 506, 413, 557)(364, 508, 416, 560)(365, 509, 394, 538)(369, 513, 418, 562)(370, 514, 402, 546)(373, 517, 421, 565)(374, 518, 414, 558)(376, 520, 396, 540)(377, 521, 407, 551)(379, 523, 424, 568)(381, 525, 403, 547)(384, 528, 425, 569)(385, 529, 420, 564)(386, 530, 423, 567)(388, 532, 400, 544)(389, 533, 422, 566)(391, 535, 419, 563)(392, 536, 395, 539)(399, 543, 428, 572)(405, 549, 431, 575)(410, 554, 432, 576)(411, 555, 427, 571)(412, 556, 430, 574)(415, 559, 429, 573)(417, 561, 426, 570)
	L = (1, 292)(2, 295)(3, 298)(4, 301)(5, 289)(6, 304)(7, 307)(8, 290)(9, 310)(10, 313)(11, 291)(12, 308)(13, 293)(14, 319)(15, 321)(16, 324)(17, 294)(18, 302)(19, 296)(20, 330)(21, 332)(22, 335)(23, 297)(24, 336)(25, 299)(26, 341)(27, 343)(28, 300)(29, 344)(30, 326)(31, 327)(32, 350)(33, 353)(34, 303)(35, 354)(36, 305)(37, 359)(38, 361)(39, 306)(40, 362)(41, 315)(42, 316)(43, 368)(44, 371)(45, 309)(46, 314)(47, 311)(48, 376)(49, 378)(50, 312)(51, 379)(52, 372)(53, 373)(54, 384)(55, 366)(56, 388)(57, 390)(58, 317)(59, 367)(60, 318)(61, 394)(62, 397)(63, 320)(64, 325)(65, 322)(66, 402)(67, 404)(68, 323)(69, 405)(70, 398)(71, 399)(72, 410)(73, 348)(74, 414)(75, 416)(76, 328)(77, 393)(78, 329)(79, 418)(80, 419)(81, 331)(82, 401)(83, 333)(84, 421)(85, 334)(86, 413)(87, 337)(88, 338)(89, 422)(90, 396)(91, 415)(92, 403)(93, 339)(94, 340)(95, 420)(96, 412)(97, 342)(98, 411)(99, 345)(100, 346)(101, 407)(102, 400)(103, 347)(104, 417)(105, 392)(106, 426)(107, 349)(108, 375)(109, 351)(110, 428)(111, 352)(112, 387)(113, 355)(114, 356)(115, 429)(116, 370)(117, 389)(118, 377)(119, 357)(120, 358)(121, 427)(122, 386)(123, 360)(124, 385)(125, 363)(126, 364)(127, 381)(128, 374)(129, 365)(130, 391)(131, 369)(132, 430)(133, 382)(134, 431)(135, 432)(136, 380)(137, 383)(138, 395)(139, 423)(140, 408)(141, 424)(142, 425)(143, 406)(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, 6, 4, 6 ) }
Outer automorphisms :: reflexible
Dual of E13.1573
Graph:: simple bipartite
	v = 144 e = 288 f = 120
	degree seq :: [ 4^144 ]

E13.1567 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 3})
Quotient :: dipole
Aut^+ = S3 x S4 (small group id <144, 183>)
Aut   = $<288, 1028>$ (small group id <288, 1028>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, (Y3 * Y2)^2, (R * Y1)^2, (R * Y3)^2, Y3^4, (Y3^-1 * Y2 * R)^2, (R * Y2 * Y3^-1)^2, (Y3^-1 * Y1)^3, (Y3 * Y1 * Y2 * Y1 * Y2)^2, Y3^-1 * Y2 * Y3 * Y1 * Y3 * Y2 * Y1 * Y2 * Y1 * Y3 * Y2 * Y1, (Y2 * Y1 * Y2 * R * Y2 * Y1)^2, (Y2 * Y1)^6 ]
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, 24, 168)(11, 155, 26, 170)(13, 157, 29, 173)(16, 160, 35, 179)(17, 161, 37, 181)(19, 163, 40, 184)(21, 165, 43, 187)(22, 166, 46, 190)(23, 167, 48, 192)(25, 169, 51, 195)(27, 171, 54, 198)(28, 172, 56, 200)(30, 174, 59, 203)(31, 175, 58, 202)(32, 176, 61, 205)(33, 177, 64, 208)(34, 178, 66, 210)(36, 180, 69, 213)(38, 182, 72, 216)(39, 183, 74, 218)(41, 185, 77, 221)(42, 186, 76, 220)(44, 188, 67, 211)(45, 189, 83, 227)(47, 191, 86, 230)(49, 193, 62, 206)(50, 194, 90, 234)(52, 196, 93, 237)(53, 197, 92, 236)(55, 199, 96, 240)(57, 201, 99, 243)(60, 204, 104, 248)(63, 207, 109, 253)(65, 209, 112, 256)(68, 212, 116, 260)(70, 214, 119, 263)(71, 215, 118, 262)(73, 217, 122, 266)(75, 219, 125, 269)(78, 222, 130, 274)(79, 223, 105, 249)(80, 224, 110, 254)(81, 225, 115, 259)(82, 226, 132, 276)(84, 228, 106, 250)(85, 229, 123, 267)(87, 231, 127, 271)(88, 232, 126, 270)(89, 233, 107, 251)(91, 235, 134, 278)(94, 238, 137, 281)(95, 239, 129, 273)(97, 241, 111, 255)(98, 242, 124, 268)(100, 244, 114, 258)(101, 245, 113, 257)(102, 246, 128, 272)(103, 247, 121, 265)(108, 252, 139, 283)(117, 261, 141, 285)(120, 264, 144, 288)(131, 275, 143, 287)(133, 277, 142, 286)(135, 279, 140, 284)(136, 280, 138, 282)(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, 315, 459)(301, 445, 313, 457)(302, 446, 318, 462)(303, 447, 320, 464)(306, 450, 326, 470)(307, 451, 324, 468)(308, 452, 329, 473)(310, 454, 333, 477)(311, 455, 332, 476)(312, 456, 337, 481)(314, 458, 340, 484)(316, 460, 343, 487)(317, 461, 345, 489)(319, 463, 348, 492)(321, 465, 351, 495)(322, 466, 350, 494)(323, 467, 355, 499)(325, 469, 358, 502)(327, 471, 361, 505)(328, 472, 363, 507)(330, 474, 366, 510)(331, 475, 367, 511)(334, 478, 372, 516)(335, 479, 370, 514)(336, 480, 375, 519)(338, 482, 377, 521)(339, 483, 379, 523)(341, 485, 382, 526)(342, 486, 369, 513)(344, 488, 385, 529)(346, 490, 388, 532)(347, 491, 389, 533)(349, 493, 393, 537)(352, 496, 398, 542)(353, 497, 396, 540)(354, 498, 401, 545)(356, 500, 403, 547)(357, 501, 405, 549)(359, 503, 408, 552)(360, 504, 395, 539)(362, 506, 411, 555)(364, 508, 414, 558)(365, 509, 415, 559)(368, 512, 410, 554)(371, 515, 399, 543)(373, 517, 397, 541)(374, 518, 412, 556)(376, 520, 421, 565)(378, 522, 407, 551)(380, 524, 423, 567)(381, 525, 404, 548)(383, 527, 419, 563)(384, 528, 394, 538)(386, 530, 400, 544)(387, 531, 424, 568)(390, 534, 420, 564)(391, 535, 422, 566)(392, 536, 425, 569)(402, 546, 428, 572)(406, 550, 430, 574)(409, 553, 426, 570)(413, 557, 431, 575)(416, 560, 427, 571)(417, 561, 429, 573)(418, 562, 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, 308)(13, 293)(14, 319)(15, 321)(16, 324)(17, 294)(18, 302)(19, 296)(20, 330)(21, 332)(22, 335)(23, 297)(24, 336)(25, 299)(26, 341)(27, 343)(28, 300)(29, 344)(30, 326)(31, 327)(32, 350)(33, 353)(34, 303)(35, 354)(36, 305)(37, 359)(38, 361)(39, 306)(40, 362)(41, 315)(42, 316)(43, 368)(44, 370)(45, 309)(46, 314)(47, 311)(48, 376)(49, 377)(50, 312)(51, 378)(52, 372)(53, 373)(54, 383)(55, 366)(56, 386)(57, 388)(58, 317)(59, 390)(60, 318)(61, 394)(62, 396)(63, 320)(64, 325)(65, 322)(66, 402)(67, 403)(68, 323)(69, 404)(70, 398)(71, 399)(72, 409)(73, 348)(74, 412)(75, 414)(76, 328)(77, 416)(78, 329)(79, 342)(80, 419)(81, 331)(82, 333)(83, 408)(84, 397)(85, 334)(86, 411)(87, 337)(88, 338)(89, 421)(90, 413)(91, 423)(92, 339)(93, 405)(94, 340)(95, 410)(96, 393)(97, 345)(98, 346)(99, 406)(100, 400)(101, 422)(102, 418)(103, 347)(104, 417)(105, 360)(106, 426)(107, 349)(108, 351)(109, 382)(110, 371)(111, 352)(112, 385)(113, 355)(114, 356)(115, 428)(116, 387)(117, 430)(118, 357)(119, 379)(120, 358)(121, 384)(122, 367)(123, 363)(124, 364)(125, 380)(126, 374)(127, 429)(128, 392)(129, 365)(130, 391)(131, 369)(132, 389)(133, 375)(134, 432)(135, 431)(136, 381)(137, 427)(138, 395)(139, 415)(140, 401)(141, 425)(142, 424)(143, 407)(144, 420)(145, 433)(146, 434)(147, 435)(148, 436)(149, 437)(150, 438)(151, 439)(152, 440)(153, 441)(154, 442)(155, 443)(156, 444)(157, 445)(158, 446)(159, 447)(160, 448)(161, 449)(162, 450)(163, 451)(164, 452)(165, 453)(166, 454)(167, 455)(168, 456)(169, 457)(170, 458)(171, 459)(172, 460)(173, 461)(174, 462)(175, 463)(176, 464)(177, 465)(178, 466)(179, 467)(180, 468)(181, 469)(182, 470)(183, 471)(184, 472)(185, 473)(186, 474)(187, 475)(188, 476)(189, 477)(190, 478)(191, 479)(192, 480)(193, 481)(194, 482)(195, 483)(196, 484)(197, 485)(198, 486)(199, 487)(200, 488)(201, 489)(202, 490)(203, 491)(204, 492)(205, 493)(206, 494)(207, 495)(208, 496)(209, 497)(210, 498)(211, 499)(212, 500)(213, 501)(214, 502)(215, 503)(216, 504)(217, 505)(218, 506)(219, 507)(220, 508)(221, 509)(222, 510)(223, 511)(224, 512)(225, 513)(226, 514)(227, 515)(228, 516)(229, 517)(230, 518)(231, 519)(232, 520)(233, 521)(234, 522)(235, 523)(236, 524)(237, 525)(238, 526)(239, 527)(240, 528)(241, 529)(242, 530)(243, 531)(244, 532)(245, 533)(246, 534)(247, 535)(248, 536)(249, 537)(250, 538)(251, 539)(252, 540)(253, 541)(254, 542)(255, 543)(256, 544)(257, 545)(258, 546)(259, 547)(260, 548)(261, 549)(262, 550)(263, 551)(264, 552)(265, 553)(266, 554)(267, 555)(268, 556)(269, 557)(270, 558)(271, 559)(272, 560)(273, 561)(274, 562)(275, 563)(276, 564)(277, 565)(278, 566)(279, 567)(280, 568)(281, 569)(282, 570)(283, 571)(284, 572)(285, 573)(286, 574)(287, 575)(288, 576)
	local type(s) :: { ( 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible
Dual of E13.1572
Graph:: simple bipartite
	v = 144 e = 288 f = 120
	degree seq :: [ 4^144 ]

E13.1568 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 3})
Quotient :: dipole
Aut^+ = S3 x S4 (small group id <144, 183>)
Aut   = $<288, 1028>$ (small group id <288, 1028>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, (Y3^-1 * Y2)^2, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, (Y1 * Y3^-1)^3, Y3^6, Y3^2 * Y1 * Y3^-1 * Y2 * Y3 * Y1 * Y2, (Y1 * Y2)^4, Y3^-2 * Y1 * Y3 * Y1 * Y3^-1 * Y2 * Y1 * Y2 * Y3^-1, (Y3^-1 * R * Y1 * Y2 * Y1)^2 ]
Map:: polyhedral 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, 32, 176)(15, 159, 36, 180)(17, 161, 40, 184)(18, 162, 42, 186)(20, 164, 46, 190)(22, 166, 50, 194)(23, 167, 37, 181)(24, 168, 53, 197)(25, 169, 55, 199)(27, 171, 41, 185)(29, 173, 62, 206)(30, 174, 63, 207)(31, 175, 64, 208)(33, 177, 65, 209)(34, 178, 66, 210)(35, 179, 68, 212)(38, 182, 74, 218)(39, 183, 76, 220)(43, 187, 83, 227)(44, 188, 84, 228)(45, 189, 85, 229)(47, 191, 86, 230)(48, 192, 87, 231)(49, 193, 89, 233)(51, 195, 93, 237)(52, 196, 94, 238)(54, 198, 75, 219)(56, 200, 99, 243)(57, 201, 100, 244)(58, 202, 80, 224)(59, 203, 79, 223)(60, 204, 101, 245)(61, 205, 103, 247)(67, 211, 109, 253)(69, 213, 110, 254)(70, 214, 91, 235)(71, 215, 96, 240)(72, 216, 113, 257)(73, 217, 114, 258)(77, 221, 119, 263)(78, 222, 120, 264)(81, 225, 121, 265)(82, 226, 123, 267)(88, 232, 129, 273)(90, 234, 130, 274)(92, 236, 116, 260)(95, 239, 134, 278)(97, 241, 118, 262)(98, 242, 117, 261)(102, 246, 138, 282)(104, 248, 131, 275)(105, 249, 135, 279)(106, 250, 128, 272)(107, 251, 127, 271)(108, 252, 126, 270)(111, 255, 124, 268)(112, 256, 132, 276)(115, 259, 140, 284)(122, 266, 144, 288)(125, 269, 141, 285)(133, 277, 142, 286)(136, 280, 139, 283)(137, 281, 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, 325, 469)(307, 451, 332, 476)(308, 452, 331, 475)(309, 453, 336, 480)(310, 454, 329, 473)(312, 456, 340, 484)(313, 457, 339, 483)(314, 458, 345, 489)(316, 460, 348, 492)(319, 463, 346, 490)(320, 464, 344, 488)(321, 465, 347, 491)(323, 467, 355, 499)(324, 468, 358, 502)(326, 470, 361, 505)(327, 471, 360, 504)(328, 472, 366, 510)(330, 474, 369, 513)(333, 477, 367, 511)(334, 478, 365, 509)(335, 479, 368, 512)(337, 481, 376, 520)(338, 482, 379, 523)(341, 485, 384, 528)(342, 486, 383, 527)(343, 487, 378, 522)(349, 493, 390, 534)(350, 494, 393, 537)(351, 495, 389, 533)(352, 496, 386, 530)(353, 497, 385, 529)(354, 498, 388, 532)(356, 500, 391, 535)(357, 501, 364, 508)(359, 503, 399, 543)(362, 506, 404, 548)(363, 507, 403, 547)(370, 514, 410, 554)(371, 515, 413, 557)(372, 516, 409, 553)(373, 517, 406, 550)(374, 518, 405, 549)(375, 519, 408, 552)(377, 521, 411, 555)(380, 524, 419, 563)(381, 525, 421, 565)(382, 526, 412, 556)(387, 531, 423, 567)(392, 536, 402, 546)(394, 538, 420, 564)(395, 539, 422, 566)(396, 540, 425, 569)(397, 541, 426, 570)(398, 542, 424, 568)(400, 544, 414, 558)(401, 545, 427, 571)(407, 551, 429, 573)(415, 559, 428, 572)(416, 560, 431, 575)(417, 561, 432, 576)(418, 562, 430, 574)
	L = (1, 292)(2, 295)(3, 298)(4, 301)(5, 289)(6, 305)(7, 308)(8, 290)(9, 312)(10, 315)(11, 291)(12, 309)(13, 321)(14, 323)(15, 293)(16, 326)(17, 329)(18, 294)(19, 302)(20, 335)(21, 337)(22, 296)(23, 339)(24, 342)(25, 297)(26, 343)(27, 347)(28, 349)(29, 299)(30, 346)(31, 300)(32, 352)(33, 303)(34, 332)(35, 357)(36, 359)(37, 360)(38, 363)(39, 304)(40, 364)(41, 368)(42, 370)(43, 306)(44, 367)(45, 307)(46, 373)(47, 310)(48, 318)(49, 378)(50, 380)(51, 320)(52, 311)(53, 316)(54, 386)(55, 376)(56, 313)(57, 319)(58, 314)(59, 317)(60, 384)(61, 392)(62, 372)(63, 394)(64, 383)(65, 381)(66, 395)(67, 322)(68, 324)(69, 366)(70, 391)(71, 400)(72, 334)(73, 325)(74, 330)(75, 406)(76, 355)(77, 327)(78, 333)(79, 328)(80, 331)(81, 404)(82, 412)(83, 351)(84, 414)(85, 403)(86, 401)(87, 415)(88, 336)(89, 338)(90, 345)(91, 411)(92, 420)(93, 402)(94, 410)(95, 340)(96, 353)(97, 341)(98, 344)(99, 424)(100, 425)(101, 413)(102, 348)(103, 350)(104, 421)(105, 356)(106, 419)(107, 417)(108, 354)(109, 407)(110, 423)(111, 358)(112, 409)(113, 382)(114, 390)(115, 361)(116, 374)(117, 362)(118, 365)(119, 430)(120, 431)(121, 393)(122, 369)(123, 371)(124, 427)(125, 377)(126, 399)(127, 397)(128, 375)(129, 387)(130, 429)(131, 379)(132, 389)(133, 385)(134, 388)(135, 432)(136, 396)(137, 398)(138, 428)(139, 405)(140, 408)(141, 426)(142, 416)(143, 418)(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, 6, 4, 6 ) }
Outer automorphisms :: reflexible
Dual of E13.1574
Graph:: simple bipartite
	v = 144 e = 288 f = 120
	degree seq :: [ 4^144 ]

E13.1569 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 3})
Quotient :: dipole
Aut^+ = S3 x S4 (small group id <144, 183>)
Aut   = $<288, 1028>$ (small group id <288, 1028>)
|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)^3, Y3 * Y1 * Y2 * Y1 * Y3 * Y2 * Y1 * Y2 * Y3 * Y1 * Y3 * Y2 * Y1 * Y3 * Y2 * Y1 * Y2 * Y1, (Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y3 * Y2 * Y1)^2 ]
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, 19, 163)(13, 157, 21, 165)(14, 158, 23, 167)(16, 160, 25, 169)(17, 161, 26, 170)(18, 162, 28, 172)(20, 164, 30, 174)(22, 166, 33, 177)(24, 168, 35, 179)(27, 171, 40, 184)(29, 173, 42, 186)(31, 175, 45, 189)(32, 176, 47, 191)(34, 178, 49, 193)(36, 180, 52, 196)(37, 181, 44, 188)(38, 182, 54, 198)(39, 183, 56, 200)(41, 185, 58, 202)(43, 187, 61, 205)(46, 190, 65, 209)(48, 192, 67, 211)(50, 194, 70, 214)(51, 195, 69, 213)(53, 197, 74, 218)(55, 199, 77, 221)(57, 201, 79, 223)(59, 203, 82, 226)(60, 204, 81, 225)(62, 206, 86, 230)(63, 207, 87, 231)(64, 208, 89, 233)(66, 210, 91, 235)(68, 212, 94, 238)(71, 215, 98, 242)(72, 216, 99, 243)(73, 217, 101, 245)(75, 219, 103, 247)(76, 220, 105, 249)(78, 222, 107, 251)(80, 224, 110, 254)(83, 227, 114, 258)(84, 228, 115, 259)(85, 229, 117, 261)(88, 232, 112, 256)(90, 234, 108, 252)(92, 236, 106, 250)(93, 237, 118, 262)(95, 239, 111, 255)(96, 240, 104, 248)(97, 241, 125, 269)(100, 244, 127, 271)(102, 246, 109, 253)(113, 257, 134, 278)(116, 260, 136, 280)(119, 263, 137, 281)(120, 264, 133, 277)(121, 265, 138, 282)(122, 266, 135, 279)(123, 267, 139, 283)(124, 268, 129, 273)(126, 270, 131, 275)(128, 272, 140, 284)(130, 274, 141, 285)(132, 276, 142, 286)(143, 287, 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, 305, 449)(300, 444, 308, 452)(302, 446, 310, 454)(303, 447, 312, 456)(306, 450, 315, 459)(307, 451, 317, 461)(309, 453, 319, 463)(311, 455, 322, 466)(313, 457, 324, 468)(314, 458, 326, 470)(316, 460, 329, 473)(318, 462, 331, 475)(320, 464, 334, 478)(321, 465, 336, 480)(323, 467, 338, 482)(325, 469, 341, 485)(327, 471, 343, 487)(328, 472, 345, 489)(330, 474, 347, 491)(332, 476, 350, 494)(333, 477, 351, 495)(335, 479, 354, 498)(337, 481, 356, 500)(339, 483, 359, 503)(340, 484, 360, 504)(342, 486, 363, 507)(344, 488, 366, 510)(346, 490, 368, 512)(348, 492, 371, 515)(349, 493, 372, 516)(352, 496, 376, 520)(353, 497, 378, 522)(355, 499, 380, 524)(357, 501, 383, 527)(358, 502, 384, 528)(361, 505, 388, 532)(362, 506, 390, 534)(364, 508, 392, 536)(365, 509, 394, 538)(367, 511, 396, 540)(369, 513, 399, 543)(370, 514, 400, 544)(373, 517, 404, 548)(374, 518, 406, 550)(375, 519, 407, 551)(377, 521, 409, 553)(379, 523, 405, 549)(381, 525, 410, 554)(382, 526, 411, 555)(385, 529, 412, 556)(386, 530, 414, 558)(387, 531, 408, 552)(389, 533, 395, 539)(391, 535, 416, 560)(393, 537, 418, 562)(397, 541, 419, 563)(398, 542, 420, 564)(401, 545, 421, 565)(402, 546, 423, 567)(403, 547, 417, 561)(413, 557, 426, 570)(415, 559, 427, 571)(422, 566, 429, 573)(424, 568, 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, 300)(10, 306)(11, 293)(12, 297)(13, 310)(14, 295)(15, 311)(16, 308)(17, 315)(18, 298)(19, 316)(20, 304)(21, 320)(22, 301)(23, 303)(24, 322)(25, 325)(26, 327)(27, 305)(28, 307)(29, 329)(30, 332)(31, 334)(32, 309)(33, 335)(34, 312)(35, 339)(36, 341)(37, 313)(38, 343)(39, 314)(40, 344)(41, 317)(42, 348)(43, 350)(44, 318)(45, 352)(46, 319)(47, 321)(48, 354)(49, 357)(50, 359)(51, 323)(52, 361)(53, 324)(54, 364)(55, 326)(56, 328)(57, 366)(58, 369)(59, 371)(60, 330)(61, 373)(62, 331)(63, 376)(64, 333)(65, 377)(66, 336)(67, 381)(68, 383)(69, 337)(70, 385)(71, 338)(72, 388)(73, 340)(74, 389)(75, 392)(76, 342)(77, 393)(78, 345)(79, 397)(80, 399)(81, 346)(82, 401)(83, 347)(84, 404)(85, 349)(86, 405)(87, 408)(88, 351)(89, 353)(90, 409)(91, 406)(92, 410)(93, 355)(94, 398)(95, 356)(96, 412)(97, 358)(98, 413)(99, 407)(100, 360)(101, 362)(102, 395)(103, 417)(104, 363)(105, 365)(106, 418)(107, 390)(108, 419)(109, 367)(110, 382)(111, 368)(112, 421)(113, 370)(114, 422)(115, 416)(116, 372)(117, 374)(118, 379)(119, 387)(120, 375)(121, 378)(122, 380)(123, 420)(124, 384)(125, 386)(126, 426)(127, 425)(128, 403)(129, 391)(130, 394)(131, 396)(132, 411)(133, 400)(134, 402)(135, 429)(136, 428)(137, 415)(138, 414)(139, 431)(140, 424)(141, 423)(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, 6, 4, 6 ) }
Outer automorphisms :: reflexible
Dual of E13.1570
Graph:: simple bipartite
	v = 144 e = 288 f = 120
	degree seq :: [ 4^144 ]

E13.1570 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 3})
Quotient :: dipole
Aut^+ = S3 x S4 (small group id <144, 183>)
Aut   = $<288, 1028>$ (small group id <288, 1028>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, Y1^3, (R * Y2)^2, (Y3 * Y2)^2, (R * Y3)^2, (R * Y1)^2, (Y3 * Y1^-1)^2, (Y2 * Y1^-1 * Y2 * Y1)^3, Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 145, 2, 146, 5, 149)(3, 147, 8, 152, 10, 154)(4, 148, 11, 155, 7, 151)(6, 150, 13, 157, 15, 159)(9, 153, 18, 162, 17, 161)(12, 156, 21, 165, 22, 166)(14, 158, 25, 169, 24, 168)(16, 160, 27, 171, 29, 173)(19, 163, 31, 175, 32, 176)(20, 164, 33, 177, 34, 178)(23, 167, 37, 181, 39, 183)(26, 170, 41, 185, 42, 186)(28, 172, 45, 189, 44, 188)(30, 174, 47, 191, 48, 192)(35, 179, 53, 197, 54, 198)(36, 180, 55, 199, 56, 200)(38, 182, 59, 203, 58, 202)(40, 184, 61, 205, 62, 206)(43, 187, 65, 209, 67, 211)(46, 190, 63, 207, 69, 213)(49, 193, 72, 216, 73, 217)(50, 194, 74, 218, 75, 219)(51, 195, 76, 220, 77, 221)(52, 196, 78, 222, 79, 223)(57, 201, 83, 227, 85, 229)(60, 204, 81, 225, 87, 231)(64, 208, 90, 234, 91, 235)(66, 210, 94, 238, 93, 237)(68, 212, 96, 240, 89, 233)(70, 214, 98, 242, 99, 243)(71, 215, 100, 244, 101, 245)(80, 224, 108, 252, 109, 253)(82, 226, 110, 254, 111, 255)(84, 228, 114, 258, 113, 257)(86, 230, 116, 260, 106, 250)(88, 232, 118, 262, 119, 263)(92, 236, 112, 256, 123, 267)(95, 239, 103, 247, 117, 261)(97, 241, 126, 270, 127, 271)(102, 246, 115, 259, 120, 264)(104, 248, 121, 265, 131, 275)(105, 249, 132, 276, 133, 277)(107, 251, 134, 278, 135, 279)(122, 266, 141, 285, 136, 280)(124, 268, 138, 282, 129, 273)(125, 269, 142, 286, 143, 287)(128, 272, 144, 288, 139, 283)(130, 274, 140, 284, 137, 281)(289, 433, 291, 435)(290, 434, 294, 438)(292, 436, 297, 441)(293, 437, 300, 444)(295, 439, 302, 446)(296, 440, 304, 448)(298, 442, 307, 451)(299, 443, 308, 452)(301, 445, 311, 455)(303, 447, 314, 458)(305, 449, 316, 460)(306, 450, 318, 462)(309, 453, 323, 467)(310, 454, 324, 468)(312, 456, 326, 470)(313, 457, 328, 472)(315, 459, 331, 475)(317, 461, 334, 478)(319, 463, 337, 481)(320, 464, 338, 482)(321, 465, 339, 483)(322, 466, 340, 484)(325, 469, 345, 489)(327, 471, 348, 492)(329, 473, 351, 495)(330, 474, 352, 496)(332, 476, 354, 498)(333, 477, 356, 500)(335, 479, 358, 502)(336, 480, 359, 503)(341, 485, 368, 512)(342, 486, 361, 505)(343, 487, 369, 513)(344, 488, 370, 514)(346, 490, 372, 516)(347, 491, 374, 518)(349, 493, 376, 520)(350, 494, 377, 521)(353, 497, 380, 524)(355, 499, 383, 527)(357, 501, 385, 529)(360, 504, 390, 534)(362, 506, 391, 535)(363, 507, 392, 536)(364, 508, 393, 537)(365, 509, 394, 538)(366, 510, 388, 532)(367, 511, 395, 539)(371, 515, 400, 544)(373, 517, 403, 547)(375, 519, 405, 549)(378, 522, 408, 552)(379, 523, 409, 553)(381, 525, 410, 554)(382, 526, 412, 556)(384, 528, 413, 557)(386, 530, 416, 560)(387, 531, 417, 561)(389, 533, 418, 562)(396, 540, 411, 555)(397, 541, 414, 558)(398, 542, 415, 559)(399, 543, 419, 563)(401, 545, 424, 568)(402, 546, 425, 569)(404, 548, 426, 570)(406, 550, 427, 571)(407, 551, 428, 572)(420, 564, 432, 576)(421, 565, 430, 574)(422, 566, 431, 575)(423, 567, 429, 573)
	L = (1, 292)(2, 295)(3, 297)(4, 289)(5, 299)(6, 302)(7, 290)(8, 305)(9, 291)(10, 306)(11, 293)(12, 308)(13, 312)(14, 294)(15, 313)(16, 316)(17, 296)(18, 298)(19, 318)(20, 300)(21, 322)(22, 321)(23, 326)(24, 301)(25, 303)(26, 328)(27, 332)(28, 304)(29, 333)(30, 307)(31, 336)(32, 335)(33, 310)(34, 309)(35, 340)(36, 339)(37, 346)(38, 311)(39, 347)(40, 314)(41, 350)(42, 349)(43, 354)(44, 315)(45, 317)(46, 356)(47, 320)(48, 319)(49, 359)(50, 358)(51, 324)(52, 323)(53, 367)(54, 366)(55, 365)(56, 364)(57, 372)(58, 325)(59, 327)(60, 374)(61, 330)(62, 329)(63, 377)(64, 376)(65, 381)(66, 331)(67, 382)(68, 334)(69, 384)(70, 338)(71, 337)(72, 389)(73, 388)(74, 387)(75, 386)(76, 344)(77, 343)(78, 342)(79, 341)(80, 395)(81, 394)(82, 393)(83, 401)(84, 345)(85, 402)(86, 348)(87, 404)(88, 352)(89, 351)(90, 407)(91, 406)(92, 410)(93, 353)(94, 355)(95, 412)(96, 357)(97, 413)(98, 363)(99, 362)(100, 361)(101, 360)(102, 418)(103, 417)(104, 416)(105, 370)(106, 369)(107, 368)(108, 423)(109, 422)(110, 421)(111, 420)(112, 424)(113, 371)(114, 373)(115, 425)(116, 375)(117, 426)(118, 379)(119, 378)(120, 428)(121, 427)(122, 380)(123, 429)(124, 383)(125, 385)(126, 431)(127, 430)(128, 392)(129, 391)(130, 390)(131, 432)(132, 399)(133, 398)(134, 397)(135, 396)(136, 400)(137, 403)(138, 405)(139, 409)(140, 408)(141, 411)(142, 415)(143, 414)(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) :: { ( 4^4 ), ( 4^6 ) }
Outer automorphisms :: reflexible
Dual of E13.1569
Graph:: simple bipartite
	v = 120 e = 288 f = 144
	degree seq :: [ 4^72, 6^48 ]

E13.1571 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 3})
Quotient :: dipole
Aut^+ = S3 x S4 (small group id <144, 183>)
Aut   = $<288, 1028>$ (small group id <288, 1028>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, Y1^3, (R * Y2)^2, (Y3 * Y2)^2, (R * Y3)^2, (R * Y1)^2, (Y3 * Y1^-1)^2, (Y2 * Y1^-1)^6, (Y2 * Y1 * Y2 * Y1 * Y2 * Y1^-1 * Y2 * Y1^-1)^2 ]
Map:: polytopal non-degenerate
	R = (1, 145, 2, 146, 5, 149)(3, 147, 8, 152, 10, 154)(4, 148, 11, 155, 7, 151)(6, 150, 13, 157, 15, 159)(9, 153, 18, 162, 17, 161)(12, 156, 21, 165, 22, 166)(14, 158, 25, 169, 24, 168)(16, 160, 27, 171, 29, 173)(19, 163, 31, 175, 32, 176)(20, 164, 33, 177, 34, 178)(23, 167, 37, 181, 39, 183)(26, 170, 41, 185, 42, 186)(28, 172, 45, 189, 44, 188)(30, 174, 47, 191, 48, 192)(35, 179, 53, 197, 54, 198)(36, 180, 55, 199, 56, 200)(38, 182, 59, 203, 58, 202)(40, 184, 61, 205, 62, 206)(43, 187, 65, 209, 67, 211)(46, 190, 69, 213, 70, 214)(49, 193, 73, 217, 74, 218)(50, 194, 75, 219, 57, 201)(51, 195, 76, 220, 77, 221)(52, 196, 78, 222, 79, 223)(60, 204, 85, 229, 86, 230)(63, 207, 89, 233, 90, 234)(64, 208, 91, 235, 80, 224)(66, 210, 93, 237, 92, 236)(68, 212, 95, 239, 96, 240)(71, 215, 83, 227, 99, 243)(72, 216, 100, 244, 101, 245)(81, 225, 108, 252, 109, 253)(82, 226, 110, 254, 111, 255)(84, 228, 112, 256, 113, 257)(87, 231, 107, 251, 116, 260)(88, 232, 117, 261, 118, 262)(94, 238, 119, 263, 115, 259)(97, 241, 114, 258, 125, 269)(98, 242, 121, 265, 102, 246)(103, 247, 120, 264, 129, 273)(104, 248, 130, 274, 131, 275)(105, 249, 132, 276, 133, 277)(106, 250, 134, 278, 135, 279)(122, 266, 136, 280, 140, 284)(123, 267, 128, 272, 138, 282)(124, 268, 141, 285, 137, 281)(126, 270, 142, 286, 143, 287)(127, 271, 144, 288, 139, 283)(289, 433, 291, 435)(290, 434, 294, 438)(292, 436, 297, 441)(293, 437, 300, 444)(295, 439, 302, 446)(296, 440, 304, 448)(298, 442, 307, 451)(299, 443, 308, 452)(301, 445, 311, 455)(303, 447, 314, 458)(305, 449, 316, 460)(306, 450, 318, 462)(309, 453, 323, 467)(310, 454, 324, 468)(312, 456, 326, 470)(313, 457, 328, 472)(315, 459, 331, 475)(317, 461, 334, 478)(319, 463, 337, 481)(320, 464, 338, 482)(321, 465, 339, 483)(322, 466, 340, 484)(325, 469, 345, 489)(327, 471, 348, 492)(329, 473, 351, 495)(330, 474, 352, 496)(332, 476, 354, 498)(333, 477, 356, 500)(335, 479, 359, 503)(336, 480, 360, 504)(341, 485, 368, 512)(342, 486, 369, 513)(343, 487, 370, 514)(344, 488, 353, 497)(346, 490, 371, 515)(347, 491, 372, 516)(349, 493, 375, 519)(350, 494, 376, 520)(355, 499, 382, 526)(357, 501, 385, 529)(358, 502, 386, 530)(361, 505, 390, 534)(362, 506, 391, 535)(363, 507, 392, 536)(364, 508, 380, 524)(365, 509, 393, 537)(366, 510, 394, 538)(367, 511, 395, 539)(373, 517, 402, 546)(374, 518, 403, 547)(377, 521, 407, 551)(378, 522, 408, 552)(379, 523, 409, 553)(381, 525, 410, 554)(383, 527, 411, 555)(384, 528, 412, 556)(387, 531, 414, 558)(388, 532, 415, 559)(389, 533, 416, 560)(396, 540, 413, 557)(397, 541, 419, 563)(398, 542, 418, 562)(399, 543, 417, 561)(400, 544, 424, 568)(401, 545, 425, 569)(404, 548, 426, 570)(405, 549, 427, 571)(406, 550, 428, 572)(420, 564, 432, 576)(421, 565, 431, 575)(422, 566, 430, 574)(423, 567, 429, 573)
	L = (1, 292)(2, 295)(3, 297)(4, 289)(5, 299)(6, 302)(7, 290)(8, 305)(9, 291)(10, 306)(11, 293)(12, 308)(13, 312)(14, 294)(15, 313)(16, 316)(17, 296)(18, 298)(19, 318)(20, 300)(21, 322)(22, 321)(23, 326)(24, 301)(25, 303)(26, 328)(27, 332)(28, 304)(29, 333)(30, 307)(31, 336)(32, 335)(33, 310)(34, 309)(35, 340)(36, 339)(37, 346)(38, 311)(39, 347)(40, 314)(41, 350)(42, 349)(43, 354)(44, 315)(45, 317)(46, 356)(47, 320)(48, 319)(49, 360)(50, 359)(51, 324)(52, 323)(53, 367)(54, 366)(55, 365)(56, 364)(57, 371)(58, 325)(59, 327)(60, 372)(61, 330)(62, 329)(63, 376)(64, 375)(65, 380)(66, 331)(67, 381)(68, 334)(69, 384)(70, 383)(71, 338)(72, 337)(73, 389)(74, 388)(75, 387)(76, 344)(77, 343)(78, 342)(79, 341)(80, 395)(81, 394)(82, 393)(83, 345)(84, 348)(85, 401)(86, 400)(87, 352)(88, 351)(89, 406)(90, 405)(91, 404)(92, 353)(93, 355)(94, 410)(95, 358)(96, 357)(97, 412)(98, 411)(99, 363)(100, 362)(101, 361)(102, 416)(103, 415)(104, 414)(105, 370)(106, 369)(107, 368)(108, 423)(109, 422)(110, 421)(111, 420)(112, 374)(113, 373)(114, 425)(115, 424)(116, 379)(117, 378)(118, 377)(119, 428)(120, 427)(121, 426)(122, 382)(123, 386)(124, 385)(125, 429)(126, 392)(127, 391)(128, 390)(129, 432)(130, 431)(131, 430)(132, 399)(133, 398)(134, 397)(135, 396)(136, 403)(137, 402)(138, 409)(139, 408)(140, 407)(141, 413)(142, 419)(143, 418)(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 ), ( 4^6 ) }
Outer automorphisms :: reflexible
Dual of E13.1565
Graph:: simple bipartite
	v = 120 e = 288 f = 144
	degree seq :: [ 4^72, 6^48 ]

E13.1572 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 3})
Quotient :: dipole
Aut^+ = S3 x S4 (small group id <144, 183>)
Aut   = $<288, 1028>$ (small group id <288, 1028>)
|r| :: 2
Presentation :: [ Y2^2, R^2, Y1^3, (Y3 * Y2)^2, (R * Y1)^2, (R * Y3)^2, Y3^4, (Y1^-1 * Y3^-1)^2, (Y3 * R * Y2)^2, (R * Y2 * Y3^-1)^2, Y1 * Y3^-1 * Y2 * R * Y2 * Y1^-1 * R * Y3, (Y2 * Y1^-1 * Y2 * R * Y1^-1)^2, Y1^-1 * Y2 * Y1^-1 * R * Y2 * Y1^-1 * R * Y2 * Y1 * Y2, Y3^-2 * Y1 * Y2 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y2 * Y1^-1, Y2 * Y3^-1 * Y1^-1 * Y3 * Y1^-1 * Y2 * Y1 * Y3^-2 * Y1^-1, Y3^-2 * Y2 * Y1 * Y3^-1 * Y1 * Y2 * Y1^-1 * Y3 * Y1^-1, (Y3 * Y2 * Y1 * Y2 * Y1^-1)^2, Y2 * Y1 * Y3^-1 * Y2 * Y1^-1 * Y3 * Y2 * Y1^-1 * Y2 * Y1^-1 ]
Map:: polyhedral non-degenerate
	R = (1, 145, 2, 146, 5, 149)(3, 147, 10, 154, 12, 156)(4, 148, 14, 158, 16, 160)(6, 150, 19, 163, 8, 152)(7, 151, 20, 164, 22, 166)(9, 153, 25, 169, 18, 162)(11, 155, 29, 173, 31, 175)(13, 157, 34, 178, 27, 171)(15, 159, 37, 181, 38, 182)(17, 161, 41, 185, 42, 186)(21, 165, 49, 193, 51, 195)(23, 167, 54, 198, 47, 191)(24, 168, 45, 189, 55, 199)(26, 170, 58, 202, 60, 204)(28, 172, 63, 207, 33, 177)(30, 174, 66, 210, 67, 211)(32, 176, 70, 214, 71, 215)(35, 179, 75, 219, 77, 221)(36, 180, 57, 201, 40, 184)(39, 183, 82, 226, 83, 227)(43, 187, 90, 234, 86, 230)(44, 188, 91, 235, 93, 237)(46, 190, 94, 238, 96, 240)(48, 192, 99, 243, 53, 197)(50, 194, 102, 246, 103, 247)(52, 196, 106, 250, 107, 251)(56, 200, 113, 257, 115, 259)(59, 203, 117, 261, 97, 241)(61, 205, 121, 265, 104, 248)(62, 206, 74, 218, 111, 255)(64, 208, 122, 266, 100, 244)(65, 209, 114, 258, 69, 213)(68, 212, 124, 268, 95, 239)(72, 216, 129, 273, 126, 270)(73, 217, 130, 274, 108, 252)(76, 220, 119, 263, 132, 276)(78, 222, 105, 249, 101, 245)(79, 223, 112, 256, 81, 225)(80, 224, 134, 278, 135, 279)(84, 228, 98, 242, 110, 254)(85, 229, 125, 269, 137, 281)(87, 231, 136, 280, 89, 233)(88, 232, 131, 275, 138, 282)(92, 236, 133, 277, 127, 271)(109, 253, 142, 286, 128, 272)(116, 260, 140, 284, 120, 264)(118, 262, 139, 283, 143, 287)(123, 267, 141, 285, 144, 288)(289, 433, 291, 435)(290, 434, 295, 439)(292, 436, 301, 445)(293, 437, 305, 449)(294, 438, 299, 443)(296, 440, 311, 455)(297, 441, 309, 453)(298, 442, 314, 458)(300, 444, 320, 464)(302, 446, 323, 467)(303, 447, 318, 462)(304, 448, 327, 471)(306, 450, 331, 475)(307, 451, 332, 476)(308, 452, 334, 478)(310, 454, 340, 484)(312, 456, 338, 482)(313, 457, 344, 488)(315, 459, 349, 493)(316, 460, 347, 491)(317, 461, 352, 496)(319, 463, 356, 500)(321, 465, 360, 504)(322, 466, 361, 505)(324, 468, 364, 508)(325, 469, 366, 510)(326, 470, 368, 512)(328, 472, 372, 516)(329, 473, 373, 517)(330, 474, 376, 520)(333, 477, 380, 524)(335, 479, 385, 529)(336, 480, 383, 527)(337, 481, 388, 532)(339, 483, 392, 536)(341, 485, 396, 540)(342, 486, 397, 541)(343, 487, 399, 543)(345, 489, 402, 546)(346, 490, 393, 537)(348, 492, 407, 551)(350, 494, 406, 550)(351, 495, 400, 544)(353, 497, 395, 539)(354, 498, 384, 528)(355, 499, 411, 555)(357, 501, 413, 557)(358, 502, 398, 542)(359, 503, 415, 559)(362, 506, 419, 563)(363, 507, 410, 554)(365, 509, 405, 549)(367, 511, 387, 531)(369, 513, 424, 568)(370, 514, 414, 558)(371, 515, 404, 548)(374, 518, 412, 556)(375, 519, 409, 553)(377, 521, 416, 560)(378, 522, 417, 561)(379, 523, 418, 562)(381, 525, 408, 552)(382, 526, 421, 565)(386, 530, 427, 571)(389, 533, 426, 570)(390, 534, 425, 569)(391, 535, 429, 573)(394, 538, 423, 567)(401, 545, 430, 574)(403, 547, 428, 572)(420, 564, 432, 576)(422, 566, 431, 575)
	L = (1, 292)(2, 296)(3, 299)(4, 303)(5, 306)(6, 289)(7, 309)(8, 312)(9, 290)(10, 315)(11, 318)(12, 321)(13, 291)(14, 293)(15, 294)(16, 328)(17, 323)(18, 324)(19, 326)(20, 335)(21, 338)(22, 341)(23, 295)(24, 297)(25, 343)(26, 347)(27, 350)(28, 298)(29, 300)(30, 301)(31, 357)(32, 352)(33, 353)(34, 355)(35, 364)(36, 302)(37, 304)(38, 369)(39, 366)(40, 367)(41, 374)(42, 377)(43, 305)(44, 380)(45, 307)(46, 383)(47, 386)(48, 308)(49, 310)(50, 311)(51, 393)(52, 388)(53, 389)(54, 391)(55, 400)(56, 402)(57, 313)(58, 392)(59, 406)(60, 408)(61, 314)(62, 316)(63, 399)(64, 395)(65, 317)(66, 319)(67, 401)(68, 384)(69, 403)(70, 414)(71, 416)(72, 320)(73, 419)(74, 322)(75, 330)(76, 331)(77, 421)(78, 387)(79, 325)(80, 332)(81, 333)(82, 398)(83, 390)(84, 327)(85, 409)(86, 422)(87, 329)(88, 410)(89, 415)(90, 420)(91, 423)(92, 424)(93, 407)(94, 405)(95, 427)(96, 428)(97, 334)(98, 336)(99, 372)(100, 426)(101, 337)(102, 339)(103, 370)(104, 425)(105, 371)(106, 418)(107, 360)(108, 340)(109, 358)(110, 342)(111, 344)(112, 345)(113, 362)(114, 351)(115, 354)(116, 346)(117, 348)(118, 349)(119, 365)(120, 382)(121, 431)(122, 359)(123, 361)(124, 373)(125, 356)(126, 429)(127, 363)(128, 376)(129, 394)(130, 432)(131, 430)(132, 379)(133, 381)(134, 375)(135, 378)(136, 368)(137, 404)(138, 396)(139, 385)(140, 413)(141, 397)(142, 411)(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) :: { ( 4^4 ), ( 4^6 ) }
Outer automorphisms :: reflexible
Dual of E13.1567
Graph:: simple bipartite
	v = 120 e = 288 f = 144
	degree seq :: [ 4^72, 6^48 ]

E13.1573 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 3})
Quotient :: dipole
Aut^+ = S3 x S4 (small group id <144, 183>)
Aut   = $<288, 1028>$ (small group id <288, 1028>)
|r| :: 2
Presentation :: [ Y2^2, R^2, Y1^3, (Y3^-1 * Y1^-1)^2, (Y3 * Y2)^2, (R * Y1)^2, Y3^4, (R * Y3)^2, (R * Y2 * Y3^-1)^2, (Y1^-1 * R * Y2 * Y1 * Y2)^2, Y2 * Y1 * Y2 * Y1 * Y3 * Y2 * Y3^-1 * Y1^-1 * Y2 * Y1^-1, Y3^-2 * Y1 * Y2 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y2 * Y1^-1, (Y2 * Y1 * Y3^-1 * Y2 * Y1^-1)^2, Y3^-1 * Y2 * Y1^-1 * Y2 * Y3^-1 * Y1 * Y2 * Y1^-1 * Y2 * Y1^-1, Y2 * Y3^2 * Y1 * Y3^-1 * Y1 * Y2 * Y1^-1 * Y3 * Y1^-1, Y2 * Y3^-1 * Y1^-1 * Y3 * Y1^-1 * Y2 * Y1 * Y3^-2 * Y1^-1 ]
Map:: polyhedral non-degenerate
	R = (1, 145, 2, 146, 5, 149)(3, 147, 10, 154, 12, 156)(4, 148, 14, 158, 16, 160)(6, 150, 19, 163, 8, 152)(7, 151, 20, 164, 22, 166)(9, 153, 25, 169, 18, 162)(11, 155, 29, 173, 31, 175)(13, 157, 34, 178, 27, 171)(15, 159, 37, 181, 38, 182)(17, 161, 41, 185, 42, 186)(21, 165, 49, 193, 51, 195)(23, 167, 54, 198, 47, 191)(24, 168, 45, 189, 55, 199)(26, 170, 58, 202, 60, 204)(28, 172, 63, 207, 33, 177)(30, 174, 66, 210, 67, 211)(32, 176, 70, 214, 71, 215)(35, 179, 75, 219, 77, 221)(36, 180, 57, 201, 40, 184)(39, 183, 82, 226, 83, 227)(43, 187, 90, 234, 86, 230)(44, 188, 91, 235, 93, 237)(46, 190, 94, 238, 96, 240)(48, 192, 99, 243, 53, 197)(50, 194, 102, 246, 103, 247)(52, 196, 106, 250, 107, 251)(56, 200, 113, 257, 115, 259)(59, 203, 116, 260, 104, 248)(61, 205, 120, 264, 97, 241)(62, 206, 74, 218, 111, 255)(64, 208, 121, 265, 108, 252)(65, 209, 114, 258, 69, 213)(68, 212, 125, 269, 126, 270)(72, 216, 130, 274, 109, 253)(73, 217, 131, 275, 100, 244)(76, 220, 133, 277, 134, 278)(78, 222, 105, 249, 101, 245)(79, 223, 112, 256, 81, 225)(80, 224, 135, 279, 128, 272)(84, 228, 98, 242, 110, 254)(85, 229, 117, 261, 137, 281)(87, 231, 136, 280, 89, 233)(88, 232, 124, 268, 138, 282)(92, 236, 118, 262, 132, 276)(95, 239, 139, 283, 119, 263)(122, 266, 140, 284, 144, 288)(123, 267, 141, 285, 143, 287)(127, 271, 142, 286, 129, 273)(289, 433, 291, 435)(290, 434, 295, 439)(292, 436, 301, 445)(293, 437, 305, 449)(294, 438, 299, 443)(296, 440, 311, 455)(297, 441, 309, 453)(298, 442, 314, 458)(300, 444, 320, 464)(302, 446, 323, 467)(303, 447, 318, 462)(304, 448, 327, 471)(306, 450, 331, 475)(307, 451, 332, 476)(308, 452, 334, 478)(310, 454, 340, 484)(312, 456, 338, 482)(313, 457, 344, 488)(315, 459, 349, 493)(316, 460, 347, 491)(317, 461, 352, 496)(319, 463, 356, 500)(321, 465, 360, 504)(322, 466, 361, 505)(324, 468, 364, 508)(325, 469, 366, 510)(326, 470, 368, 512)(328, 472, 372, 516)(329, 473, 373, 517)(330, 474, 376, 520)(333, 477, 380, 524)(335, 479, 385, 529)(336, 480, 383, 527)(337, 481, 388, 532)(339, 483, 392, 536)(341, 485, 396, 540)(342, 486, 397, 541)(343, 487, 399, 543)(345, 489, 402, 546)(346, 490, 386, 530)(348, 492, 406, 550)(350, 494, 405, 549)(351, 495, 400, 544)(353, 497, 410, 554)(354, 498, 411, 555)(355, 499, 412, 556)(357, 501, 384, 528)(358, 502, 391, 535)(359, 503, 416, 560)(362, 506, 395, 539)(363, 507, 418, 562)(365, 509, 407, 551)(367, 511, 387, 531)(369, 513, 424, 568)(370, 514, 415, 559)(371, 515, 414, 558)(374, 518, 408, 552)(375, 519, 413, 557)(377, 521, 419, 563)(378, 522, 409, 553)(379, 523, 417, 561)(381, 525, 404, 548)(382, 526, 423, 567)(389, 533, 428, 572)(390, 534, 429, 573)(393, 537, 425, 569)(394, 538, 422, 566)(398, 542, 426, 570)(401, 545, 430, 574)(403, 547, 427, 571)(420, 564, 432, 576)(421, 565, 431, 575)
	L = (1, 292)(2, 296)(3, 299)(4, 303)(5, 306)(6, 289)(7, 309)(8, 312)(9, 290)(10, 315)(11, 318)(12, 321)(13, 291)(14, 293)(15, 294)(16, 328)(17, 323)(18, 324)(19, 326)(20, 335)(21, 338)(22, 341)(23, 295)(24, 297)(25, 343)(26, 347)(27, 350)(28, 298)(29, 300)(30, 301)(31, 357)(32, 352)(33, 353)(34, 355)(35, 364)(36, 302)(37, 304)(38, 369)(39, 366)(40, 367)(41, 374)(42, 377)(43, 305)(44, 380)(45, 307)(46, 383)(47, 386)(48, 308)(49, 310)(50, 311)(51, 393)(52, 388)(53, 389)(54, 391)(55, 400)(56, 402)(57, 313)(58, 385)(59, 405)(60, 407)(61, 314)(62, 316)(63, 399)(64, 410)(65, 317)(66, 319)(67, 401)(68, 411)(69, 403)(70, 397)(71, 417)(72, 320)(73, 395)(74, 322)(75, 330)(76, 331)(77, 406)(78, 387)(79, 325)(80, 332)(81, 333)(82, 398)(83, 390)(84, 327)(85, 413)(86, 423)(87, 329)(88, 418)(89, 420)(90, 422)(91, 416)(92, 424)(93, 421)(94, 408)(95, 346)(96, 356)(97, 334)(98, 336)(99, 372)(100, 428)(101, 337)(102, 339)(103, 370)(104, 429)(105, 371)(106, 409)(107, 430)(108, 340)(109, 426)(110, 342)(111, 344)(112, 345)(113, 362)(114, 351)(115, 354)(116, 348)(117, 349)(118, 381)(119, 431)(120, 373)(121, 359)(122, 360)(123, 427)(124, 361)(125, 382)(126, 425)(127, 358)(128, 378)(129, 394)(130, 432)(131, 376)(132, 363)(133, 365)(134, 379)(135, 375)(136, 368)(137, 392)(138, 415)(139, 384)(140, 396)(141, 414)(142, 412)(143, 404)(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) :: { ( 4^4 ), ( 4^6 ) }
Outer automorphisms :: reflexible
Dual of E13.1566
Graph:: simple bipartite
	v = 120 e = 288 f = 144
	degree seq :: [ 4^72, 6^48 ]

E13.1574 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 3})
Quotient :: dipole
Aut^+ = S3 x S4 (small group id <144, 183>)
Aut   = $<288, 1028>$ (small group id <288, 1028>)
|r| :: 2
Presentation :: [ Y2^2, R^2, Y1^3, (Y3^-1 * Y1^-1)^2, (R * Y3)^2, (R * Y1)^2, (Y3 * Y2)^2, (R * Y2 * Y3^-1)^2, Y3^6, Y3 * Y1^-1 * Y3^3 * Y1^-1, Y2 * Y3^3 * Y2 * Y1^-1 * Y3 * Y1^-1, (R * Y2 * Y1 * Y2)^2, (Y2 * Y1^-1)^4, (Y2 * Y1 * Y2 * Y1^-1)^3 ]
Map:: polyhedral non-degenerate
	R = (1, 145, 2, 146, 5, 149)(3, 147, 10, 154, 12, 156)(4, 148, 14, 158, 16, 160)(6, 150, 19, 163, 8, 152)(7, 151, 21, 165, 23, 167)(9, 153, 26, 170, 18, 162)(11, 155, 31, 175, 33, 177)(13, 157, 36, 180, 29, 173)(15, 159, 25, 169, 40, 184)(17, 161, 42, 186, 43, 187)(20, 164, 27, 171, 39, 183)(22, 166, 49, 193, 51, 195)(24, 168, 54, 198, 47, 191)(28, 172, 57, 201, 59, 203)(30, 174, 56, 200, 35, 179)(32, 176, 61, 205, 65, 209)(34, 178, 67, 211, 46, 190)(37, 181, 62, 206, 64, 208)(38, 182, 70, 214, 72, 216)(41, 185, 53, 197, 48, 192)(44, 188, 78, 222, 75, 219)(45, 189, 77, 221, 76, 220)(50, 194, 81, 225, 85, 229)(52, 196, 87, 231, 74, 218)(55, 199, 82, 226, 84, 228)(58, 202, 92, 236, 94, 238)(60, 204, 97, 241, 90, 234)(63, 207, 80, 224, 100, 244)(66, 210, 96, 240, 91, 235)(68, 212, 86, 230, 103, 247)(69, 213, 79, 223, 104, 248)(71, 215, 106, 250, 107, 251)(73, 217, 109, 253, 105, 249)(83, 227, 111, 255, 115, 259)(88, 232, 108, 252, 118, 262)(89, 233, 110, 254, 119, 263)(93, 237, 120, 264, 124, 268)(95, 239, 117, 261, 102, 246)(98, 242, 121, 265, 123, 267)(99, 243, 127, 271, 112, 256)(101, 245, 129, 273, 113, 257)(114, 258, 134, 278, 133, 277)(116, 260, 136, 280, 132, 276)(122, 266, 131, 275, 135, 279)(125, 269, 128, 272, 137, 281)(126, 270, 130, 274, 138, 282)(139, 283, 144, 288, 142, 286)(140, 284, 143, 287, 141, 285)(289, 433, 291, 435)(290, 434, 295, 439)(292, 436, 301, 445)(293, 437, 305, 449)(294, 438, 299, 443)(296, 440, 312, 456)(297, 441, 310, 454)(298, 442, 316, 460)(300, 444, 322, 466)(302, 446, 326, 470)(303, 447, 325, 469)(304, 448, 329, 473)(306, 450, 332, 476)(307, 451, 333, 477)(308, 452, 320, 464)(309, 453, 334, 478)(311, 455, 340, 484)(313, 457, 343, 487)(314, 458, 344, 488)(315, 459, 338, 482)(317, 461, 348, 492)(318, 462, 346, 490)(319, 463, 351, 495)(321, 465, 354, 498)(323, 467, 356, 500)(324, 468, 357, 501)(327, 471, 359, 503)(328, 472, 361, 505)(330, 474, 362, 506)(331, 475, 345, 489)(335, 479, 368, 512)(336, 480, 367, 511)(337, 481, 371, 515)(339, 483, 374, 518)(341, 485, 376, 520)(342, 486, 377, 521)(347, 491, 383, 527)(349, 493, 386, 530)(350, 494, 381, 525)(352, 496, 387, 531)(353, 497, 389, 533)(355, 499, 390, 534)(358, 502, 378, 522)(360, 504, 396, 540)(363, 507, 399, 543)(364, 508, 398, 542)(365, 509, 379, 523)(366, 510, 382, 526)(369, 513, 401, 545)(370, 514, 400, 544)(372, 516, 402, 546)(373, 517, 404, 548)(375, 519, 405, 549)(380, 524, 410, 554)(384, 528, 413, 557)(385, 529, 414, 558)(388, 532, 416, 560)(391, 535, 419, 563)(392, 536, 418, 562)(393, 537, 408, 552)(394, 538, 420, 564)(395, 539, 409, 553)(397, 541, 421, 565)(403, 547, 423, 567)(406, 550, 426, 570)(407, 551, 425, 569)(411, 555, 427, 571)(412, 556, 428, 572)(415, 559, 429, 573)(417, 561, 430, 574)(422, 566, 431, 575)(424, 568, 432, 576)
	L = (1, 292)(2, 296)(3, 299)(4, 303)(5, 306)(6, 289)(7, 310)(8, 313)(9, 290)(10, 317)(11, 320)(12, 323)(13, 291)(14, 293)(15, 314)(16, 315)(17, 326)(18, 328)(19, 327)(20, 294)(21, 335)(22, 338)(23, 341)(24, 295)(25, 304)(26, 308)(27, 297)(28, 346)(29, 349)(30, 298)(31, 300)(32, 344)(33, 350)(34, 351)(35, 353)(36, 352)(37, 301)(38, 359)(39, 302)(40, 307)(41, 343)(42, 363)(43, 365)(44, 305)(45, 361)(46, 367)(47, 369)(48, 309)(49, 311)(50, 329)(51, 370)(52, 371)(53, 373)(54, 372)(55, 312)(56, 325)(57, 378)(58, 381)(59, 384)(60, 316)(61, 321)(62, 318)(63, 387)(64, 319)(65, 324)(66, 386)(67, 391)(68, 322)(69, 389)(70, 331)(71, 333)(72, 397)(73, 332)(74, 398)(75, 394)(76, 330)(77, 395)(78, 393)(79, 400)(80, 334)(81, 339)(82, 336)(83, 402)(84, 337)(85, 342)(86, 401)(87, 406)(88, 340)(89, 404)(90, 408)(91, 345)(92, 347)(93, 354)(94, 409)(95, 410)(96, 412)(97, 411)(98, 348)(99, 357)(100, 417)(101, 356)(102, 418)(103, 415)(104, 355)(105, 358)(106, 360)(107, 366)(108, 420)(109, 364)(110, 421)(111, 362)(112, 374)(113, 368)(114, 377)(115, 424)(116, 376)(117, 425)(118, 422)(119, 375)(120, 382)(121, 379)(122, 427)(123, 380)(124, 385)(125, 383)(126, 428)(127, 388)(128, 429)(129, 392)(130, 430)(131, 390)(132, 399)(133, 396)(134, 403)(135, 431)(136, 407)(137, 432)(138, 405)(139, 414)(140, 413)(141, 419)(142, 416)(143, 426)(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) :: { ( 4^4 ), ( 4^6 ) }
Outer automorphisms :: reflexible
Dual of E13.1568
Graph:: simple bipartite
	v = 120 e = 288 f = 144
	degree seq :: [ 4^72, 6^48 ]

E13.1575 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {3, 3, 6})
Quotient :: edge
Aut^+ = A4 x A4 (small group id <144, 184>)
Aut   = $<288, 1026>$ (small group id <288, 1026>)
|r| :: 2
Presentation :: [ F^2, T1^3, (F * T2)^2, (F * T1)^2, (T2 * T1)^3, (T2 * T1)^3, T2^6, (T2^-1, T1^-1)^2, (T1 * T2^-2)^3, T2^2 * T1 * T2^-1 * T1 * T2^-2 * T1^-1 * T2 * T1^-1 ]
Map:: polyhedral non-degenerate
	R = (1, 3, 9, 25, 15, 5)(2, 6, 17, 41, 21, 7)(4, 11, 30, 65, 33, 12)(8, 22, 50, 98, 52, 23)(10, 27, 60, 112, 63, 28)(13, 34, 74, 120, 77, 35)(14, 36, 78, 84, 39, 16)(18, 43, 90, 110, 59, 44)(19, 45, 92, 137, 94, 46)(20, 47, 95, 114, 62, 29)(24, 53, 102, 130, 103, 54)(26, 57, 48, 96, 111, 58)(31, 67, 109, 134, 89, 68)(32, 69, 76, 122, 108, 70)(37, 80, 126, 117, 66, 81)(38, 82, 127, 141, 119, 73)(40, 51, 99, 142, 121, 75)(42, 87, 71, 118, 135, 88)(49, 97, 140, 123, 136, 91)(55, 104, 143, 116, 124, 105)(56, 106, 100, 85, 131, 107)(61, 113, 139, 125, 79, 72)(64, 83, 128, 101, 138, 93)(86, 132, 129, 115, 144, 133)(145, 146, 148)(147, 152, 154)(149, 157, 158)(150, 160, 162)(151, 163, 164)(153, 168, 170)(155, 173, 175)(156, 176, 166)(159, 181, 182)(161, 184, 186)(165, 192, 193)(167, 195, 188)(169, 199, 200)(171, 203, 205)(172, 206, 197)(174, 208, 210)(177, 215, 216)(178, 217, 191)(179, 219, 220)(180, 213, 223)(183, 227, 212)(185, 229, 230)(187, 233, 226)(189, 235, 194)(190, 237, 218)(196, 244, 245)(198, 236, 214)(201, 252, 253)(202, 254, 248)(204, 231, 221)(207, 241, 211)(209, 259, 260)(222, 267, 268)(224, 251, 266)(225, 238, 234)(228, 273, 274)(232, 278, 275)(239, 283, 250)(240, 277, 264)(242, 285, 276)(243, 272, 246)(247, 271, 279)(249, 286, 258)(255, 282, 257)(256, 288, 261)(262, 287, 281)(263, 280, 269)(265, 284, 270)
	L = (1, 145)(2, 146)(3, 147)(4, 148)(5, 149)(6, 150)(7, 151)(8, 152)(9, 153)(10, 154)(11, 155)(12, 156)(13, 157)(14, 158)(15, 159)(16, 160)(17, 161)(18, 162)(19, 163)(20, 164)(21, 165)(22, 166)(23, 167)(24, 168)(25, 169)(26, 170)(27, 171)(28, 172)(29, 173)(30, 174)(31, 175)(32, 176)(33, 177)(34, 178)(35, 179)(36, 180)(37, 181)(38, 182)(39, 183)(40, 184)(41, 185)(42, 186)(43, 187)(44, 188)(45, 189)(46, 190)(47, 191)(48, 192)(49, 193)(50, 194)(51, 195)(52, 196)(53, 197)(54, 198)(55, 199)(56, 200)(57, 201)(58, 202)(59, 203)(60, 204)(61, 205)(62, 206)(63, 207)(64, 208)(65, 209)(66, 210)(67, 211)(68, 212)(69, 213)(70, 214)(71, 215)(72, 216)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 6^3 ), ( 6^6 ) }
Outer automorphisms :: reflexible
Dual of E13.1576
Transitivity :: ET+
Graph:: simple bipartite
	v = 72 e = 144 f = 48
	degree seq :: [ 3^48, 6^24 ]

E13.1576 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {3, 3, 6})
Quotient :: loop
Aut^+ = A4 x A4 (small group id <144, 184>)
Aut   = $<288, 1026>$ (small group id <288, 1026>)
|r| :: 2
Presentation :: [ F^2, T1^3, T2^3, (F * T1)^2, (F * T2)^2, (T2^-1, T1^-1)^2, (T2 * T1^-1)^6, (T2^-1 * T1^-1)^6, T2 * T1 * T2 * T1 * T2 * T1^-1 * T2 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2 * T1^-1 ]
Map:: polyhedral 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, 20, 164, 21, 165)(12, 156, 26, 170, 27, 171)(13, 157, 28, 172, 29, 173)(14, 158, 30, 174, 31, 175)(15, 159, 32, 176, 33, 177)(16, 160, 34, 178, 35, 179)(17, 161, 36, 180, 37, 181)(22, 166, 45, 189, 43, 187)(23, 167, 46, 190, 47, 191)(24, 168, 48, 192, 49, 193)(25, 169, 50, 194, 51, 195)(38, 182, 68, 212, 69, 213)(39, 183, 70, 214, 54, 198)(40, 184, 71, 215, 72, 216)(41, 185, 73, 217, 56, 200)(42, 186, 74, 218, 75, 219)(44, 188, 76, 220, 77, 221)(52, 196, 86, 230, 87, 231)(53, 197, 88, 232, 89, 233)(55, 199, 90, 234, 91, 235)(57, 201, 92, 236, 93, 237)(58, 202, 94, 238, 95, 239)(59, 203, 96, 240, 65, 209)(60, 204, 97, 241, 98, 242)(61, 205, 99, 243, 66, 210)(62, 206, 100, 244, 101, 245)(63, 207, 102, 246, 103, 247)(64, 208, 104, 248, 105, 249)(67, 211, 106, 250, 107, 251)(78, 222, 119, 263, 120, 264)(79, 223, 115, 259, 83, 227)(80, 224, 121, 265, 84, 228)(81, 225, 122, 266, 123, 267)(82, 226, 124, 268, 125, 269)(85, 229, 126, 270, 108, 252)(109, 253, 139, 283, 113, 257)(110, 254, 129, 273, 135, 279)(111, 255, 143, 287, 144, 288)(112, 256, 138, 282, 132, 276)(114, 258, 134, 278, 141, 285)(116, 260, 140, 284, 117, 261)(118, 262, 142, 286, 127, 271)(128, 272, 136, 280, 130, 274)(131, 275, 137, 281, 133, 277)
	L = (1, 146)(2, 148)(3, 152)(4, 145)(5, 156)(6, 158)(7, 160)(8, 153)(9, 147)(10, 166)(11, 168)(12, 157)(13, 149)(14, 159)(15, 150)(16, 161)(17, 151)(18, 182)(19, 184)(20, 185)(21, 187)(22, 167)(23, 154)(24, 169)(25, 155)(26, 196)(27, 197)(28, 192)(29, 200)(30, 202)(31, 204)(32, 205)(33, 163)(34, 207)(35, 208)(36, 170)(37, 210)(38, 183)(39, 162)(40, 177)(41, 186)(42, 164)(43, 188)(44, 165)(45, 222)(46, 224)(47, 175)(48, 199)(49, 226)(50, 178)(51, 228)(52, 180)(53, 198)(54, 171)(55, 172)(56, 201)(57, 173)(58, 203)(59, 174)(60, 191)(61, 206)(62, 176)(63, 194)(64, 209)(65, 179)(66, 211)(67, 181)(68, 252)(69, 254)(70, 243)(71, 241)(72, 256)(73, 258)(74, 260)(75, 213)(76, 215)(77, 261)(78, 223)(79, 189)(80, 225)(81, 190)(82, 227)(83, 193)(84, 229)(85, 195)(86, 271)(87, 247)(88, 273)(89, 266)(90, 275)(91, 231)(92, 232)(93, 277)(94, 237)(95, 278)(96, 265)(97, 220)(98, 280)(99, 255)(100, 282)(101, 239)(102, 283)(103, 235)(104, 285)(105, 218)(106, 248)(107, 286)(108, 253)(109, 212)(110, 219)(111, 214)(112, 257)(113, 216)(114, 259)(115, 217)(116, 249)(117, 262)(118, 221)(119, 251)(120, 287)(121, 279)(122, 274)(123, 264)(124, 288)(125, 244)(126, 268)(127, 272)(128, 230)(129, 236)(130, 233)(131, 276)(132, 234)(133, 238)(134, 245)(135, 240)(136, 281)(137, 242)(138, 269)(139, 284)(140, 246)(141, 250)(142, 263)(143, 267)(144, 270)
	local type(s) :: { ( 3, 6, 3, 6, 3, 6 ) }
Outer automorphisms :: reflexible
Dual of E13.1575
Transitivity :: ET+ VT+ AT
Graph:: simple
	v = 48 e = 144 f = 72
	degree seq :: [ 6^48 ]

E13.1577 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 3, 6})
Quotient :: dipole
Aut^+ = A4 x A4 (small group id <144, 184>)
Aut   = $<288, 1026>$ (small group id <288, 1026>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, Y1^3, (R * Y1)^2, (R * Y3)^2, (Y2 * Y1)^3, (Y2 * Y1)^3, Y2^6, (Y3^-1 * Y1^-1)^3, (Y2^-1, Y1^-1)^2, (Y1 * Y2^-2)^3, Y2^2 * Y1 * Y2^-1 * Y1 * Y2^-2 * Y1^-1 * Y2 * Y1^-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, 22, 166)(15, 159, 37, 181, 38, 182)(17, 161, 40, 184, 42, 186)(21, 165, 48, 192, 49, 193)(23, 167, 51, 195, 44, 188)(25, 169, 55, 199, 56, 200)(27, 171, 59, 203, 61, 205)(28, 172, 62, 206, 53, 197)(30, 174, 64, 208, 66, 210)(33, 177, 71, 215, 72, 216)(34, 178, 73, 217, 47, 191)(35, 179, 75, 219, 76, 220)(36, 180, 69, 213, 79, 223)(39, 183, 83, 227, 68, 212)(41, 185, 85, 229, 86, 230)(43, 187, 89, 233, 82, 226)(45, 189, 91, 235, 50, 194)(46, 190, 93, 237, 74, 218)(52, 196, 100, 244, 101, 245)(54, 198, 92, 236, 70, 214)(57, 201, 108, 252, 109, 253)(58, 202, 110, 254, 104, 248)(60, 204, 87, 231, 77, 221)(63, 207, 97, 241, 67, 211)(65, 209, 115, 259, 116, 260)(78, 222, 123, 267, 124, 268)(80, 224, 107, 251, 122, 266)(81, 225, 94, 238, 90, 234)(84, 228, 129, 273, 130, 274)(88, 232, 134, 278, 131, 275)(95, 239, 139, 283, 106, 250)(96, 240, 133, 277, 120, 264)(98, 242, 141, 285, 132, 276)(99, 243, 128, 272, 102, 246)(103, 247, 127, 271, 135, 279)(105, 249, 142, 286, 114, 258)(111, 255, 138, 282, 113, 257)(112, 256, 144, 288, 117, 261)(118, 262, 143, 287, 137, 281)(119, 263, 136, 280, 125, 269)(121, 265, 140, 284, 126, 270)(289, 433, 291, 435, 297, 441, 313, 457, 303, 447, 293, 437)(290, 434, 294, 438, 305, 449, 329, 473, 309, 453, 295, 439)(292, 436, 299, 443, 318, 462, 353, 497, 321, 465, 300, 444)(296, 440, 310, 454, 338, 482, 386, 530, 340, 484, 311, 455)(298, 442, 315, 459, 348, 492, 400, 544, 351, 495, 316, 460)(301, 445, 322, 466, 362, 506, 408, 552, 365, 509, 323, 467)(302, 446, 324, 468, 366, 510, 372, 516, 327, 471, 304, 448)(306, 450, 331, 475, 378, 522, 398, 542, 347, 491, 332, 476)(307, 451, 333, 477, 380, 524, 425, 569, 382, 526, 334, 478)(308, 452, 335, 479, 383, 527, 402, 546, 350, 494, 317, 461)(312, 456, 341, 485, 390, 534, 418, 562, 391, 535, 342, 486)(314, 458, 345, 489, 336, 480, 384, 528, 399, 543, 346, 490)(319, 463, 355, 499, 397, 541, 422, 566, 377, 521, 356, 500)(320, 464, 357, 501, 364, 508, 410, 554, 396, 540, 358, 502)(325, 469, 368, 512, 414, 558, 405, 549, 354, 498, 369, 513)(326, 470, 370, 514, 415, 559, 429, 573, 407, 551, 361, 505)(328, 472, 339, 483, 387, 531, 430, 574, 409, 553, 363, 507)(330, 474, 375, 519, 359, 503, 406, 550, 423, 567, 376, 520)(337, 481, 385, 529, 428, 572, 411, 555, 424, 568, 379, 523)(343, 487, 392, 536, 431, 575, 404, 548, 412, 556, 393, 537)(344, 488, 394, 538, 388, 532, 373, 517, 419, 563, 395, 539)(349, 493, 401, 545, 427, 571, 413, 557, 367, 511, 360, 504)(352, 496, 371, 515, 416, 560, 389, 533, 426, 570, 381, 525)(374, 518, 420, 564, 417, 561, 403, 547, 432, 576, 421, 565)
	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, 322)(14, 324)(15, 293)(16, 302)(17, 329)(18, 331)(19, 333)(20, 335)(21, 295)(22, 338)(23, 296)(24, 341)(25, 303)(26, 345)(27, 348)(28, 298)(29, 308)(30, 353)(31, 355)(32, 357)(33, 300)(34, 362)(35, 301)(36, 366)(37, 368)(38, 370)(39, 304)(40, 339)(41, 309)(42, 375)(43, 378)(44, 306)(45, 380)(46, 307)(47, 383)(48, 384)(49, 385)(50, 386)(51, 387)(52, 311)(53, 390)(54, 312)(55, 392)(56, 394)(57, 336)(58, 314)(59, 332)(60, 400)(61, 401)(62, 317)(63, 316)(64, 371)(65, 321)(66, 369)(67, 397)(68, 319)(69, 364)(70, 320)(71, 406)(72, 349)(73, 326)(74, 408)(75, 328)(76, 410)(77, 323)(78, 372)(79, 360)(80, 414)(81, 325)(82, 415)(83, 416)(84, 327)(85, 419)(86, 420)(87, 359)(88, 330)(89, 356)(90, 398)(91, 337)(92, 425)(93, 352)(94, 334)(95, 402)(96, 399)(97, 428)(98, 340)(99, 430)(100, 373)(101, 426)(102, 418)(103, 342)(104, 431)(105, 343)(106, 388)(107, 344)(108, 358)(109, 422)(110, 347)(111, 346)(112, 351)(113, 427)(114, 350)(115, 432)(116, 412)(117, 354)(118, 423)(119, 361)(120, 365)(121, 363)(122, 396)(123, 424)(124, 393)(125, 367)(126, 405)(127, 429)(128, 389)(129, 403)(130, 391)(131, 395)(132, 417)(133, 374)(134, 377)(135, 376)(136, 379)(137, 382)(138, 381)(139, 413)(140, 411)(141, 407)(142, 409)(143, 404)(144, 421)(145, 433)(146, 434)(147, 435)(148, 436)(149, 437)(150, 438)(151, 439)(152, 440)(153, 441)(154, 442)(155, 443)(156, 444)(157, 445)(158, 446)(159, 447)(160, 448)(161, 449)(162, 450)(163, 451)(164, 452)(165, 453)(166, 454)(167, 455)(168, 456)(169, 457)(170, 458)(171, 459)(172, 460)(173, 461)(174, 462)(175, 463)(176, 464)(177, 465)(178, 466)(179, 467)(180, 468)(181, 469)(182, 470)(183, 471)(184, 472)(185, 473)(186, 474)(187, 475)(188, 476)(189, 477)(190, 478)(191, 479)(192, 480)(193, 481)(194, 482)(195, 483)(196, 484)(197, 485)(198, 486)(199, 487)(200, 488)(201, 489)(202, 490)(203, 491)(204, 492)(205, 493)(206, 494)(207, 495)(208, 496)(209, 497)(210, 498)(211, 499)(212, 500)(213, 501)(214, 502)(215, 503)(216, 504)(217, 505)(218, 506)(219, 507)(220, 508)(221, 509)(222, 510)(223, 511)(224, 512)(225, 513)(226, 514)(227, 515)(228, 516)(229, 517)(230, 518)(231, 519)(232, 520)(233, 521)(234, 522)(235, 523)(236, 524)(237, 525)(238, 526)(239, 527)(240, 528)(241, 529)(242, 530)(243, 531)(244, 532)(245, 533)(246, 534)(247, 535)(248, 536)(249, 537)(250, 538)(251, 539)(252, 540)(253, 541)(254, 542)(255, 543)(256, 544)(257, 545)(258, 546)(259, 547)(260, 548)(261, 549)(262, 550)(263, 551)(264, 552)(265, 553)(266, 554)(267, 555)(268, 556)(269, 557)(270, 558)(271, 559)(272, 560)(273, 561)(274, 562)(275, 563)(276, 564)(277, 565)(278, 566)(279, 567)(280, 568)(281, 569)(282, 570)(283, 571)(284, 572)(285, 573)(286, 574)(287, 575)(288, 576)
	local type(s) :: { ( 2, 6, 2, 6, 2, 6 ), ( 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6 ) }
Outer automorphisms :: reflexible
Dual of E13.1578
Graph:: bipartite
	v = 72 e = 288 f = 192
	degree seq :: [ 6^48, 12^24 ]

E13.1578 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 3, 6})
Quotient :: dipole
Aut^+ = A4 x A4 (small group id <144, 184>)
Aut   = $<288, 1026>$ (small group id <288, 1026>)
|r| :: 2
Presentation :: [ Y1, R^2, Y2^3, (R * Y3)^2, (R * Y1)^2, (Y3 * Y2^-1)^3, (Y3 * Y2^-1)^3, (R * Y2 * Y3^-1)^2, Y3^6, (Y3, Y2^-1)^2, (Y3^2 * Y2)^3, Y3^2 * Y2 * Y3 * Y2 * Y3^-2 * Y2^-1 * Y3^-1 * Y2^-1, (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, 316, 460, 318, 462)(300, 444, 319, 463, 320, 464)(303, 447, 325, 469, 326, 470)(305, 449, 329, 473, 331, 475)(309, 453, 336, 480, 337, 481)(310, 454, 338, 482, 340, 484)(311, 455, 341, 485, 332, 476)(313, 457, 345, 489, 346, 490)(315, 459, 348, 492, 349, 493)(317, 461, 352, 496, 354, 498)(321, 465, 359, 503, 360, 504)(322, 466, 361, 505, 334, 478)(323, 467, 356, 500, 364, 508)(324, 468, 365, 509, 366, 510)(327, 471, 371, 515, 342, 486)(328, 472, 373, 517, 355, 499)(330, 474, 376, 520, 377, 521)(333, 477, 380, 524, 357, 501)(335, 479, 382, 526, 347, 491)(339, 483, 367, 511, 385, 529)(343, 487, 372, 516, 383, 527)(344, 488, 390, 534, 388, 532)(350, 494, 397, 541, 398, 542)(351, 495, 368, 512, 374, 518)(353, 497, 401, 545, 402, 546)(358, 502, 363, 507, 378, 522)(362, 506, 408, 552, 409, 553)(369, 513, 412, 556, 393, 537)(370, 514, 399, 543, 405, 549)(375, 519, 419, 563, 387, 531)(379, 523, 423, 567, 394, 538)(381, 525, 425, 569, 426, 570)(384, 528, 427, 571, 420, 564)(386, 530, 422, 566, 391, 535)(389, 533, 418, 562, 396, 540)(392, 536, 429, 573, 404, 548)(395, 539, 428, 572, 414, 558)(400, 544, 431, 575, 417, 561)(403, 547, 430, 574, 421, 565)(406, 550, 410, 554, 432, 576)(407, 551, 424, 568, 411, 555)(413, 557, 415, 559, 416, 560)
	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, 322)(14, 323)(15, 293)(16, 327)(17, 330)(18, 319)(19, 333)(20, 334)(21, 295)(22, 339)(23, 296)(24, 343)(25, 303)(26, 341)(27, 298)(28, 351)(29, 353)(30, 301)(31, 356)(32, 357)(33, 300)(34, 362)(35, 363)(36, 302)(37, 368)(38, 369)(39, 372)(40, 304)(41, 370)(42, 309)(43, 373)(44, 306)(45, 381)(46, 365)(47, 308)(48, 338)(49, 384)(50, 386)(51, 387)(52, 348)(53, 389)(54, 311)(55, 360)(56, 312)(57, 392)(58, 390)(59, 314)(60, 316)(61, 396)(62, 315)(63, 399)(64, 385)(65, 321)(66, 349)(67, 318)(68, 404)(69, 382)(70, 320)(71, 371)(72, 406)(73, 336)(74, 403)(75, 410)(76, 325)(77, 412)(78, 354)(79, 324)(80, 414)(81, 415)(82, 326)(83, 416)(84, 417)(85, 418)(86, 328)(87, 329)(88, 408)(89, 419)(90, 331)(91, 332)(92, 359)(93, 350)(94, 427)(95, 335)(96, 428)(97, 337)(98, 429)(99, 342)(100, 340)(101, 430)(102, 420)(103, 344)(104, 398)(105, 345)(106, 346)(107, 347)(108, 423)(109, 422)(110, 402)(111, 388)(112, 352)(113, 425)(114, 431)(115, 355)(116, 379)(117, 358)(118, 391)(119, 361)(120, 394)(121, 424)(122, 367)(123, 364)(124, 383)(125, 366)(126, 426)(127, 375)(128, 409)(129, 374)(130, 397)(131, 432)(132, 376)(133, 377)(134, 378)(135, 413)(136, 380)(137, 421)(138, 411)(139, 405)(140, 400)(141, 407)(142, 395)(143, 393)(144, 401)(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 ) }
Outer automorphisms :: reflexible
Dual of E13.1577
Graph:: simple bipartite
	v = 192 e = 288 f = 72
	degree seq :: [ 2^144, 6^48 ]

E13.1579 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 6, 6})
Quotient :: regular
Aut^+ = C2 x A4 x S3 (small group id <144, 190>)
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, (T1^-1 * T2)^6, (T1^-1 * T2 * T1 * T2 * T1 * T2 * T1^-1)^2, (T2 * T1 * T2 * T1 * T2 * T1^-1 * T2 * T1^-1)^2 ]
Map:: polytopal non-degenerate
	R = (1, 2, 5, 11, 10, 4)(3, 7, 15, 22, 18, 8)(6, 13, 25, 21, 28, 14)(9, 19, 24, 12, 23, 20)(16, 30, 47, 34, 50, 31)(17, 32, 46, 29, 45, 33)(26, 40, 63, 44, 66, 41)(27, 42, 62, 39, 61, 43)(35, 53, 58, 37, 57, 54)(36, 55, 60, 38, 59, 56)(48, 72, 101, 76, 86, 73)(49, 74, 100, 71, 99, 75)(51, 77, 98, 69, 97, 78)(52, 79, 93, 70, 90, 64)(65, 91, 120, 89, 119, 92)(67, 94, 118, 87, 117, 95)(68, 96, 80, 88, 112, 83)(81, 108, 114, 84, 113, 109)(82, 110, 116, 85, 115, 111)(102, 124, 144, 131, 141, 123)(103, 122, 137, 129, 143, 132)(104, 126, 105, 130, 136, 127)(106, 125, 140, 128, 142, 133)(107, 134, 138, 121, 139, 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, 76)(53, 80)(54, 81)(55, 82)(56, 72)(57, 83)(58, 84)(59, 85)(60, 86)(61, 87)(62, 88)(63, 89)(66, 93)(73, 102)(74, 103)(75, 104)(77, 105)(78, 106)(79, 107)(90, 121)(91, 122)(92, 123)(94, 124)(95, 125)(96, 126)(97, 127)(98, 128)(99, 129)(100, 130)(101, 131)(108, 132)(109, 135)(110, 134)(111, 133)(112, 136)(113, 137)(114, 138)(115, 139)(116, 140)(117, 141)(118, 142)(119, 143)(120, 144)
	local type(s) :: { ( 6^6 ) }
Outer automorphisms :: reflexible
Dual of E13.1580
Transitivity :: ET+ VT+ AT+ REG+
Graph:: bipartite
	v = 24 e = 72 f = 24
	degree seq :: [ 6^24 ]

E13.1580 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 6, 6})
Quotient :: regular
Aut^+ = C2 x A4 x S3 (small group id <144, 190>)
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, (T2 * T1^-1)^6, (T1^-1 * T2 * T1^2 * T2 * T1^-1)^2, (T2 * T1^2 * T2 * T1^-1 * T2 * T1^-1)^2 ]
Map:: polytopal non-degenerate
	R = (1, 2, 5, 11, 10, 4)(3, 7, 15, 29, 18, 8)(6, 13, 25, 48, 28, 14)(9, 19, 36, 66, 39, 20)(12, 23, 44, 78, 47, 24)(16, 31, 58, 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, 95, 113, 83, 57)(35, 65, 104, 116, 85, 49)(37, 68, 76, 115, 109, 69)(46, 81, 120, 111, 72, 82)(54, 92, 67, 107, 118, 79)(55, 93, 117, 141, 132, 94)(59, 86, 64, 91, 122, 98)(60, 99, 121, 139, 131, 100)(63, 87, 126, 140, 136, 103)(84, 123, 138, 135, 106, 124)(90, 119, 143, 134, 108, 129)(96, 128, 142, 137, 105, 127)(101, 130, 102, 125, 144, 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, 67)(39, 56)(40, 72)(41, 58)(42, 75)(43, 76)(44, 79)(47, 83)(48, 84)(50, 86)(51, 87)(52, 90)(53, 91)(57, 96)(61, 101)(62, 102)(65, 105)(66, 106)(68, 98)(69, 108)(70, 100)(71, 104)(73, 107)(74, 113)(77, 116)(78, 117)(80, 119)(81, 121)(82, 122)(85, 125)(88, 127)(89, 128)(92, 130)(93, 131)(94, 126)(95, 133)(97, 134)(99, 135)(103, 123)(109, 137)(110, 132)(111, 136)(112, 138)(114, 139)(115, 140)(118, 142)(120, 144)(124, 143)(129, 141)
	local type(s) :: { ( 6^6 ) }
Outer automorphisms :: reflexible
Dual of E13.1579
Transitivity :: ET+ VT+ AT+ REG+
Graph:: simple bipartite
	v = 24 e = 72 f = 24
	degree seq :: [ 6^24 ]

E13.1581 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 6, 6})
Quotient :: edge
Aut^+ = C2 x A4 x S3 (small group id <144, 190>)
Aut   = $<288, 1028>$ (small group id <288, 1028>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, T2^6, (T2^-1 * T1 * T2^-2)^2, (T2^-1 * T1)^6, (T2^-1 * T1 * T2 * T1 * T2 * T1 * T2^-1)^2, T2 * T1 * T2^-1 * T1 * T2 * T1 * T2 * T1 * T2^-1 * T1 * T2 * 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, 69, 50, 71, 46)(31, 48, 73, 47, 72, 49)(35, 53, 77, 51, 76, 54)(36, 55, 79, 52, 78, 56)(37, 57, 83, 62, 85, 58)(39, 60, 87, 59, 86, 61)(43, 65, 91, 63, 90, 66)(44, 67, 93, 64, 92, 68)(70, 98, 128, 97, 127, 99)(74, 102, 130, 100, 129, 103)(75, 104, 80, 101, 131, 105)(81, 108, 133, 106, 132, 109)(82, 110, 135, 107, 134, 111)(84, 113, 137, 112, 136, 114)(88, 117, 139, 115, 138, 118)(89, 119, 94, 116, 140, 120)(95, 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, 212)(190, 214)(192, 218)(193, 219)(197, 224)(198, 225)(199, 226)(200, 201)(202, 228)(204, 232)(205, 233)(209, 238)(210, 239)(211, 240)(213, 241)(215, 237)(216, 244)(217, 245)(220, 249)(221, 250)(222, 251)(223, 229)(227, 256)(230, 259)(231, 260)(234, 264)(235, 265)(236, 266)(242, 261)(243, 258)(246, 257)(247, 267)(248, 263)(252, 262)(253, 270)(254, 269)(255, 268)(271, 282)(272, 281)(273, 280)(274, 285)(275, 284)(276, 283)(277, 288)(278, 287)(279, 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) :: { ( 12, 12 ), ( 12^6 ) }
Outer automorphisms :: reflexible
Dual of E13.1585
Transitivity :: ET+
Graph:: simple bipartite
	v = 96 e = 144 f = 24
	degree seq :: [ 2^72, 6^24 ]

E13.1582 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 6, 6})
Quotient :: edge
Aut^+ = C2 x A4 x S3 (small group id <144, 190>)
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 * T1)^2, (T1 * T2^-1)^6, (T2^-1 * T1 * T2^2 * T1 * T2^-1)^2, (T2^2 * T1 * T2^-1 * T1 * T2^-1 * T1)^2 ]
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, 93, 56)(31, 58, 96, 133, 97, 59)(35, 64, 103, 136, 105, 65)(36, 66, 104, 137, 107, 67)(42, 74, 51, 89, 112, 75)(44, 77, 115, 140, 116, 78)(48, 83, 122, 143, 124, 84)(49, 85, 123, 144, 126, 86)(60, 98, 68, 108, 134, 99)(62, 101, 135, 110, 71, 102)(79, 117, 87, 127, 141, 118)(81, 120, 142, 129, 90, 121)(94, 125, 139, 114, 109, 131)(95, 128, 138, 113, 106, 132)(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, 198)(176, 204)(177, 196)(178, 206)(181, 212)(183, 190)(184, 215)(185, 187)(189, 223)(191, 225)(194, 231)(197, 234)(199, 218)(200, 229)(201, 238)(202, 239)(203, 233)(205, 243)(207, 226)(208, 241)(209, 248)(210, 219)(211, 250)(213, 253)(214, 222)(216, 235)(217, 252)(220, 257)(221, 258)(224, 262)(227, 260)(228, 267)(230, 269)(232, 272)(236, 271)(237, 265)(240, 264)(242, 261)(244, 266)(245, 259)(246, 256)(247, 263)(249, 274)(251, 273)(254, 270)(255, 268)(275, 282)(276, 287)(277, 284)(278, 286)(279, 285)(280, 283)(281, 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, 12 ), ( 12^6 ) }
Outer automorphisms :: reflexible
Dual of E13.1584
Transitivity :: ET+
Graph:: simple bipartite
	v = 96 e = 144 f = 24
	degree seq :: [ 2^72, 6^24 ]

E13.1583 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 6, 6})
Quotient :: edge
Aut^+ = C2 x A4 x S3 (small group id <144, 190>)
Aut   = $<288, 1028>$ (small group id <288, 1028>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, (T2^-1 * T1^-1)^2, (T2 * T1^-2)^2, T2^6, T1^6, T1^-1 * T2^-2 * T1^3 * T2^2 * T1^-2, T2 * T1 * T2^-3 * T1 * T2 * T1^-1 * T2 * T1^-1, T1^-1 * T2^2 * T1 * T2^-1 * T1 * T2^-3 * T1 * T2^-2 ]
Map:: polytopal non-degenerate
	R = (1, 3, 10, 26, 15, 5)(2, 7, 19, 41, 22, 8)(4, 12, 30, 50, 24, 9)(6, 17, 37, 67, 39, 18)(11, 28, 56, 89, 52, 25)(13, 31, 59, 95, 57, 29)(14, 32, 60, 98, 62, 33)(16, 35, 64, 102, 65, 36)(20, 43, 76, 112, 72, 40)(21, 44, 77, 119, 79, 45)(23, 47, 81, 123, 82, 48)(27, 55, 93, 121, 91, 53)(34, 54, 92, 120, 101, 63)(38, 69, 107, 135, 103, 66)(42, 75, 116, 88, 114, 73)(46, 74, 115, 94, 122, 80)(49, 83, 126, 99, 127, 84)(51, 86, 129, 134, 130, 87)(58, 96, 132, 100, 128, 85)(61, 90, 131, 139, 133, 97)(68, 106, 138, 111, 136, 104)(70, 105, 137, 117, 140, 108)(71, 109, 141, 125, 142, 110)(78, 113, 143, 124, 144, 118)(145, 146, 150, 160, 157, 148)(147, 153, 167, 179, 162, 155)(149, 158, 175, 180, 164, 151)(152, 165, 156, 173, 182, 161)(154, 169, 195, 208, 192, 171)(159, 178, 187, 209, 205, 176)(163, 184, 215, 203, 177, 186)(166, 190, 213, 201, 222, 188)(168, 193, 172, 183, 214, 191)(170, 197, 234, 246, 231, 198)(174, 189, 212, 181, 210, 202)(185, 217, 257, 239, 254, 218)(194, 229, 249, 211, 248, 227)(196, 232, 199, 226, 269, 230)(200, 228, 268, 225, 252, 238)(204, 241, 261, 220, 207, 243)(206, 244, 253, 216, 255, 219)(221, 262, 283, 251, 224, 264)(223, 265, 240, 247, 278, 250)(233, 259, 286, 267, 287, 258)(235, 263, 236, 274, 279, 275)(237, 260, 282, 273, 285, 276)(242, 270, 280, 256, 281, 272)(245, 266, 284, 277, 288, 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) :: { ( 4^6 ) }
Outer automorphisms :: reflexible
Dual of E13.1586
Transitivity :: ET+
Graph:: simple bipartite
	v = 48 e = 144 f = 72
	degree seq :: [ 6^48 ]

E13.1584 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 6, 6})
Quotient :: loop
Aut^+ = C2 x A4 x S3 (small group id <144, 190>)
Aut   = $<288, 1028>$ (small group id <288, 1028>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, T2^6, (T2^-1 * T1 * T2^-2)^2, (T2^-1 * T1)^6, (T2^-1 * T1 * T2 * T1 * T2 * T1 * T2^-1)^2, T2 * T1 * T2^-1 * T1 * T2 * T1 * T2 * T1 * T2^-1 * T1 * T2 * 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, 69, 213, 50, 194, 71, 215, 46, 190)(31, 175, 48, 192, 73, 217, 47, 191, 72, 216, 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, 83, 227, 62, 206, 85, 229, 58, 202)(39, 183, 60, 204, 87, 231, 59, 203, 86, 230, 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)(70, 214, 98, 242, 128, 272, 97, 241, 127, 271, 99, 243)(74, 218, 102, 246, 130, 274, 100, 244, 129, 273, 103, 247)(75, 219, 104, 248, 80, 224, 101, 245, 131, 275, 105, 249)(81, 225, 108, 252, 133, 277, 106, 250, 132, 276, 109, 253)(82, 226, 110, 254, 135, 279, 107, 251, 134, 278, 111, 255)(84, 228, 113, 257, 137, 281, 112, 256, 136, 280, 114, 258)(88, 232, 117, 261, 139, 283, 115, 259, 138, 282, 118, 262)(89, 233, 119, 263, 94, 238, 116, 260, 140, 284, 120, 264)(95, 239, 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, 212)(46, 214)(47, 174)(48, 218)(49, 219)(50, 176)(51, 177)(52, 178)(53, 224)(54, 225)(55, 226)(56, 201)(57, 200)(58, 228)(59, 182)(60, 232)(61, 233)(62, 184)(63, 185)(64, 186)(65, 238)(66, 239)(67, 240)(68, 189)(69, 241)(70, 190)(71, 237)(72, 244)(73, 245)(74, 192)(75, 193)(76, 249)(77, 250)(78, 251)(79, 229)(80, 197)(81, 198)(82, 199)(83, 256)(84, 202)(85, 223)(86, 259)(87, 260)(88, 204)(89, 205)(90, 264)(91, 265)(92, 266)(93, 215)(94, 209)(95, 210)(96, 211)(97, 213)(98, 261)(99, 258)(100, 216)(101, 217)(102, 257)(103, 267)(104, 263)(105, 220)(106, 221)(107, 222)(108, 262)(109, 270)(110, 269)(111, 268)(112, 227)(113, 246)(114, 243)(115, 230)(116, 231)(117, 242)(118, 252)(119, 248)(120, 234)(121, 235)(122, 236)(123, 247)(124, 255)(125, 254)(126, 253)(127, 282)(128, 281)(129, 280)(130, 285)(131, 284)(132, 283)(133, 288)(134, 287)(135, 286)(136, 273)(137, 272)(138, 271)(139, 276)(140, 275)(141, 274)(142, 279)(143, 278)(144, 277)
	local type(s) :: { ( 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6 ) }
Outer automorphisms :: reflexible
Dual of E13.1582
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 24 e = 144 f = 96
	degree seq :: [ 12^24 ]

E13.1585 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 6, 6})
Quotient :: loop
Aut^+ = C2 x A4 x S3 (small group id <144, 190>)
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 * T1)^2, (T1 * T2^-1)^6, (T2^-1 * T1 * T2^2 * T1 * T2^-1)^2, (T2^2 * T1 * T2^-1 * T1 * T2^-1 * T1)^2 ]
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, 57, 201, 32, 176, 16, 160)(9, 153, 19, 163, 37, 181, 69, 213, 39, 183, 20, 164)(11, 155, 22, 166, 43, 187, 76, 220, 45, 189, 23, 167)(13, 157, 26, 170, 50, 194, 88, 232, 52, 196, 27, 171)(17, 161, 33, 177, 61, 205, 100, 244, 63, 207, 34, 178)(21, 165, 40, 184, 72, 216, 111, 255, 73, 217, 41, 185)(24, 168, 46, 190, 80, 224, 119, 263, 82, 226, 47, 191)(28, 172, 53, 197, 91, 235, 130, 274, 92, 236, 54, 198)(29, 173, 55, 199, 38, 182, 70, 214, 93, 237, 56, 200)(31, 175, 58, 202, 96, 240, 133, 277, 97, 241, 59, 203)(35, 179, 64, 208, 103, 247, 136, 280, 105, 249, 65, 209)(36, 180, 66, 210, 104, 248, 137, 281, 107, 251, 67, 211)(42, 186, 74, 218, 51, 195, 89, 233, 112, 256, 75, 219)(44, 188, 77, 221, 115, 259, 140, 284, 116, 260, 78, 222)(48, 192, 83, 227, 122, 266, 143, 287, 124, 268, 84, 228)(49, 193, 85, 229, 123, 267, 144, 288, 126, 270, 86, 230)(60, 204, 98, 242, 68, 212, 108, 252, 134, 278, 99, 243)(62, 206, 101, 245, 135, 279, 110, 254, 71, 215, 102, 246)(79, 223, 117, 261, 87, 231, 127, 271, 141, 285, 118, 262)(81, 225, 120, 264, 142, 286, 129, 273, 90, 234, 121, 265)(94, 238, 125, 269, 139, 283, 114, 258, 109, 253, 131, 275)(95, 239, 128, 272, 138, 282, 113, 257, 106, 250, 132, 276)
	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, 198)(31, 160)(32, 204)(33, 196)(34, 206)(35, 162)(36, 163)(37, 212)(38, 164)(39, 190)(40, 215)(41, 187)(42, 166)(43, 185)(44, 167)(45, 223)(46, 183)(47, 225)(48, 169)(49, 170)(50, 231)(51, 171)(52, 177)(53, 234)(54, 174)(55, 218)(56, 229)(57, 238)(58, 239)(59, 233)(60, 176)(61, 243)(62, 178)(63, 226)(64, 241)(65, 248)(66, 219)(67, 250)(68, 181)(69, 253)(70, 222)(71, 184)(72, 235)(73, 252)(74, 199)(75, 210)(76, 257)(77, 258)(78, 214)(79, 189)(80, 262)(81, 191)(82, 207)(83, 260)(84, 267)(85, 200)(86, 269)(87, 194)(88, 272)(89, 203)(90, 197)(91, 216)(92, 271)(93, 265)(94, 201)(95, 202)(96, 264)(97, 208)(98, 261)(99, 205)(100, 266)(101, 259)(102, 256)(103, 263)(104, 209)(105, 274)(106, 211)(107, 273)(108, 217)(109, 213)(110, 270)(111, 268)(112, 246)(113, 220)(114, 221)(115, 245)(116, 227)(117, 242)(118, 224)(119, 247)(120, 240)(121, 237)(122, 244)(123, 228)(124, 255)(125, 230)(126, 254)(127, 236)(128, 232)(129, 251)(130, 249)(131, 282)(132, 287)(133, 284)(134, 286)(135, 285)(136, 283)(137, 288)(138, 275)(139, 280)(140, 277)(141, 279)(142, 278)(143, 276)(144, 281)
	local type(s) :: { ( 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6 ) }
Outer automorphisms :: reflexible
Dual of E13.1581
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 24 e = 144 f = 96
	degree seq :: [ 12^24 ]

E13.1586 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 6, 6})
Quotient :: loop
Aut^+ = C2 x A4 x S3 (small group id <144, 190>)
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^-1)^6, (T2 * T1^2 * T2 * T1^-1 * T2 * T1^-1)^2, T2 * T1 * T2 * T1^-1 * T2 * T1 * T2 * T1 * T2 * T1^-1 * T2 * T1 * T2 * T1^-1 * T2 * T1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 145, 3, 147)(2, 146, 6, 150)(4, 148, 9, 153)(5, 149, 12, 156)(7, 151, 16, 160)(8, 152, 17, 161)(10, 154, 21, 165)(11, 155, 22, 166)(13, 157, 26, 170)(14, 158, 27, 171)(15, 159, 29, 173)(18, 162, 34, 178)(19, 163, 35, 179)(20, 164, 36, 180)(23, 167, 37, 181)(24, 168, 38, 182)(25, 169, 39, 183)(28, 172, 44, 188)(30, 174, 48, 192)(31, 175, 49, 193)(32, 176, 51, 195)(33, 177, 52, 196)(40, 184, 64, 208)(41, 185, 65, 209)(42, 186, 67, 211)(43, 187, 68, 212)(45, 189, 69, 213)(46, 190, 70, 214)(47, 191, 71, 215)(50, 194, 76, 220)(53, 197, 80, 224)(54, 198, 81, 225)(55, 199, 82, 226)(56, 200, 72, 216)(57, 201, 83, 227)(58, 202, 84, 228)(59, 203, 85, 229)(60, 204, 86, 230)(61, 205, 87, 231)(62, 206, 88, 232)(63, 207, 89, 233)(66, 210, 93, 237)(73, 217, 102, 246)(74, 218, 103, 247)(75, 219, 104, 248)(77, 221, 105, 249)(78, 222, 106, 250)(79, 223, 107, 251)(90, 234, 121, 265)(91, 235, 122, 266)(92, 236, 123, 267)(94, 238, 124, 268)(95, 239, 125, 269)(96, 240, 126, 270)(97, 241, 127, 271)(98, 242, 128, 272)(99, 243, 129, 273)(100, 244, 130, 274)(101, 245, 131, 275)(108, 252, 132, 276)(109, 253, 135, 279)(110, 254, 134, 278)(111, 255, 133, 277)(112, 256, 136, 280)(113, 257, 137, 281)(114, 258, 138, 282)(115, 259, 139, 283)(116, 260, 140, 284)(117, 261, 141, 285)(118, 262, 142, 286)(119, 263, 143, 287)(120, 264, 144, 288)
	L = (1, 146)(2, 149)(3, 151)(4, 145)(5, 155)(6, 157)(7, 159)(8, 147)(9, 163)(10, 148)(11, 154)(12, 167)(13, 169)(14, 150)(15, 166)(16, 174)(17, 176)(18, 152)(19, 168)(20, 153)(21, 172)(22, 162)(23, 164)(24, 156)(25, 165)(26, 184)(27, 186)(28, 158)(29, 189)(30, 191)(31, 160)(32, 190)(33, 161)(34, 194)(35, 197)(36, 199)(37, 201)(38, 203)(39, 205)(40, 207)(41, 170)(42, 206)(43, 171)(44, 210)(45, 177)(46, 173)(47, 178)(48, 216)(49, 218)(50, 175)(51, 221)(52, 223)(53, 202)(54, 179)(55, 204)(56, 180)(57, 198)(58, 181)(59, 200)(60, 182)(61, 187)(62, 183)(63, 188)(64, 196)(65, 235)(66, 185)(67, 238)(68, 240)(69, 241)(70, 234)(71, 243)(72, 245)(73, 192)(74, 244)(75, 193)(76, 230)(77, 242)(78, 195)(79, 237)(80, 232)(81, 252)(82, 254)(83, 212)(84, 257)(85, 259)(86, 217)(87, 261)(88, 256)(89, 263)(90, 208)(91, 264)(92, 209)(93, 214)(94, 262)(95, 211)(96, 224)(97, 222)(98, 213)(99, 219)(100, 215)(101, 220)(102, 268)(103, 266)(104, 270)(105, 274)(106, 269)(107, 278)(108, 258)(109, 225)(110, 260)(111, 226)(112, 227)(113, 253)(114, 228)(115, 255)(116, 229)(117, 239)(118, 231)(119, 236)(120, 233)(121, 283)(122, 281)(123, 246)(124, 288)(125, 284)(126, 249)(127, 248)(128, 286)(129, 287)(130, 280)(131, 285)(132, 247)(133, 250)(134, 282)(135, 251)(136, 271)(137, 273)(138, 265)(139, 279)(140, 272)(141, 267)(142, 277)(143, 276)(144, 275)
	local type(s) :: { ( 6^4 ) }
Outer automorphisms :: reflexible
Dual of E13.1583
Transitivity :: ET+ VT+ AT
Graph:: simple bipartite
	v = 72 e = 144 f = 48
	degree seq :: [ 4^72 ]

E13.1587 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 6})
Quotient :: dipole
Aut^+ = C2 x A4 x S3 (small group id <144, 190>)
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, (R * Y2^2 * Y1)^2, (Y2^-1 * Y1 * Y2^-2)^2, (Y3 * Y2^-1)^6, (Y2^-1 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2^-1)^2, Y2 * Y1 * Y2^-1 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2^-1 * 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, 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, 68, 212)(46, 190, 70, 214)(48, 192, 74, 218)(49, 193, 75, 219)(53, 197, 80, 224)(54, 198, 81, 225)(55, 199, 82, 226)(56, 200, 57, 201)(58, 202, 84, 228)(60, 204, 88, 232)(61, 205, 89, 233)(65, 209, 94, 238)(66, 210, 95, 239)(67, 211, 96, 240)(69, 213, 97, 241)(71, 215, 93, 237)(72, 216, 100, 244)(73, 217, 101, 245)(76, 220, 105, 249)(77, 221, 106, 250)(78, 222, 107, 251)(79, 223, 85, 229)(83, 227, 112, 256)(86, 230, 115, 259)(87, 231, 116, 260)(90, 234, 120, 264)(91, 235, 121, 265)(92, 236, 122, 266)(98, 242, 117, 261)(99, 243, 114, 258)(102, 246, 113, 257)(103, 247, 123, 267)(104, 248, 119, 263)(108, 252, 118, 262)(109, 253, 126, 270)(110, 254, 125, 269)(111, 255, 124, 268)(127, 271, 138, 282)(128, 272, 137, 281)(129, 273, 136, 280)(130, 274, 141, 285)(131, 275, 140, 284)(132, 276, 139, 283)(133, 277, 144, 288)(134, 278, 143, 287)(135, 279, 142, 286)(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, 357, 501, 338, 482, 359, 503, 334, 478)(319, 463, 336, 480, 361, 505, 335, 479, 360, 504, 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, 371, 515, 350, 494, 373, 517, 346, 490)(327, 471, 348, 492, 375, 519, 347, 491, 374, 518, 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)(358, 502, 386, 530, 416, 560, 385, 529, 415, 559, 387, 531)(362, 506, 390, 534, 418, 562, 388, 532, 417, 561, 391, 535)(363, 507, 392, 536, 368, 512, 389, 533, 419, 563, 393, 537)(369, 513, 396, 540, 421, 565, 394, 538, 420, 564, 397, 541)(370, 514, 398, 542, 423, 567, 395, 539, 422, 566, 399, 543)(372, 516, 401, 545, 425, 569, 400, 544, 424, 568, 402, 546)(376, 520, 405, 549, 427, 571, 403, 547, 426, 570, 406, 550)(377, 521, 407, 551, 382, 526, 404, 548, 428, 572, 408, 552)(383, 527, 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, 356)(46, 358)(47, 318)(48, 362)(49, 363)(50, 320)(51, 321)(52, 322)(53, 368)(54, 369)(55, 370)(56, 345)(57, 344)(58, 372)(59, 326)(60, 376)(61, 377)(62, 328)(63, 329)(64, 330)(65, 382)(66, 383)(67, 384)(68, 333)(69, 385)(70, 334)(71, 381)(72, 388)(73, 389)(74, 336)(75, 337)(76, 393)(77, 394)(78, 395)(79, 373)(80, 341)(81, 342)(82, 343)(83, 400)(84, 346)(85, 367)(86, 403)(87, 404)(88, 348)(89, 349)(90, 408)(91, 409)(92, 410)(93, 359)(94, 353)(95, 354)(96, 355)(97, 357)(98, 405)(99, 402)(100, 360)(101, 361)(102, 401)(103, 411)(104, 407)(105, 364)(106, 365)(107, 366)(108, 406)(109, 414)(110, 413)(111, 412)(112, 371)(113, 390)(114, 387)(115, 374)(116, 375)(117, 386)(118, 396)(119, 392)(120, 378)(121, 379)(122, 380)(123, 391)(124, 399)(125, 398)(126, 397)(127, 426)(128, 425)(129, 424)(130, 429)(131, 428)(132, 427)(133, 432)(134, 431)(135, 430)(136, 417)(137, 416)(138, 415)(139, 420)(140, 419)(141, 418)(142, 423)(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) :: { ( 2, 12, 2, 12 ), ( 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12 ) }
Outer automorphisms :: reflexible
Dual of E13.1591
Graph:: bipartite
	v = 96 e = 288 f = 168
	degree seq :: [ 4^72, 12^24 ]

E13.1588 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 6})
Quotient :: dipole
Aut^+ = C2 x A4 x S3 (small group id <144, 190>)
Aut   = $<288, 1028>$ (small group id <288, 1028>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, (Y1 * R)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, Y2^6, (Y1 * Y2^2 * R)^2, (Y1 * Y2 * Y1 * Y2^2)^2, (Y1 * Y2^-1)^6, Y2^-1 * R * Y2^-2 * R * Y2^-2 * Y1 * Y2^2 * Y1 * Y2^-1, (Y3 * Y2^-1)^6, Y2^2 * Y1 * Y2^-1 * Y1 * Y2^-1 * R * Y2^-2 * R * Y2^-1 * Y1 * Y2^-1 * 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, 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, 54, 198)(32, 176, 60, 204)(33, 177, 52, 196)(34, 178, 62, 206)(37, 181, 68, 212)(39, 183, 46, 190)(40, 184, 71, 215)(41, 185, 43, 187)(45, 189, 79, 223)(47, 191, 81, 225)(50, 194, 87, 231)(53, 197, 90, 234)(55, 199, 74, 218)(56, 200, 85, 229)(57, 201, 94, 238)(58, 202, 95, 239)(59, 203, 89, 233)(61, 205, 99, 243)(63, 207, 82, 226)(64, 208, 97, 241)(65, 209, 104, 248)(66, 210, 75, 219)(67, 211, 106, 250)(69, 213, 109, 253)(70, 214, 78, 222)(72, 216, 91, 235)(73, 217, 108, 252)(76, 220, 113, 257)(77, 221, 114, 258)(80, 224, 118, 262)(83, 227, 116, 260)(84, 228, 123, 267)(86, 230, 125, 269)(88, 232, 128, 272)(92, 236, 127, 271)(93, 237, 121, 265)(96, 240, 120, 264)(98, 242, 117, 261)(100, 244, 122, 266)(101, 245, 115, 259)(102, 246, 112, 256)(103, 247, 119, 263)(105, 249, 130, 274)(107, 251, 129, 273)(110, 254, 126, 270)(111, 255, 124, 268)(131, 275, 138, 282)(132, 276, 143, 287)(133, 277, 140, 284)(134, 278, 142, 286)(135, 279, 141, 285)(136, 280, 139, 283)(137, 281, 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, 345, 489, 320, 464, 304, 448)(297, 441, 307, 451, 325, 469, 357, 501, 327, 471, 308, 452)(299, 443, 310, 454, 331, 475, 364, 508, 333, 477, 311, 455)(301, 445, 314, 458, 338, 482, 376, 520, 340, 484, 315, 459)(305, 449, 321, 465, 349, 493, 388, 532, 351, 495, 322, 466)(309, 453, 328, 472, 360, 504, 399, 543, 361, 505, 329, 473)(312, 456, 334, 478, 368, 512, 407, 551, 370, 514, 335, 479)(316, 460, 341, 485, 379, 523, 418, 562, 380, 524, 342, 486)(317, 461, 343, 487, 326, 470, 358, 502, 381, 525, 344, 488)(319, 463, 346, 490, 384, 528, 421, 565, 385, 529, 347, 491)(323, 467, 352, 496, 391, 535, 424, 568, 393, 537, 353, 497)(324, 468, 354, 498, 392, 536, 425, 569, 395, 539, 355, 499)(330, 474, 362, 506, 339, 483, 377, 521, 400, 544, 363, 507)(332, 476, 365, 509, 403, 547, 428, 572, 404, 548, 366, 510)(336, 480, 371, 515, 410, 554, 431, 575, 412, 556, 372, 516)(337, 481, 373, 517, 411, 555, 432, 576, 414, 558, 374, 518)(348, 492, 386, 530, 356, 500, 396, 540, 422, 566, 387, 531)(350, 494, 389, 533, 423, 567, 398, 542, 359, 503, 390, 534)(367, 511, 405, 549, 375, 519, 415, 559, 429, 573, 406, 550)(369, 513, 408, 552, 430, 574, 417, 561, 378, 522, 409, 553)(382, 526, 413, 557, 427, 571, 402, 546, 397, 541, 419, 563)(383, 527, 416, 560, 426, 570, 401, 545, 394, 538, 420, 564)
	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, 342)(31, 304)(32, 348)(33, 340)(34, 350)(35, 306)(36, 307)(37, 356)(38, 308)(39, 334)(40, 359)(41, 331)(42, 310)(43, 329)(44, 311)(45, 367)(46, 327)(47, 369)(48, 313)(49, 314)(50, 375)(51, 315)(52, 321)(53, 378)(54, 318)(55, 362)(56, 373)(57, 382)(58, 383)(59, 377)(60, 320)(61, 387)(62, 322)(63, 370)(64, 385)(65, 392)(66, 363)(67, 394)(68, 325)(69, 397)(70, 366)(71, 328)(72, 379)(73, 396)(74, 343)(75, 354)(76, 401)(77, 402)(78, 358)(79, 333)(80, 406)(81, 335)(82, 351)(83, 404)(84, 411)(85, 344)(86, 413)(87, 338)(88, 416)(89, 347)(90, 341)(91, 360)(92, 415)(93, 409)(94, 345)(95, 346)(96, 408)(97, 352)(98, 405)(99, 349)(100, 410)(101, 403)(102, 400)(103, 407)(104, 353)(105, 418)(106, 355)(107, 417)(108, 361)(109, 357)(110, 414)(111, 412)(112, 390)(113, 364)(114, 365)(115, 389)(116, 371)(117, 386)(118, 368)(119, 391)(120, 384)(121, 381)(122, 388)(123, 372)(124, 399)(125, 374)(126, 398)(127, 380)(128, 376)(129, 395)(130, 393)(131, 426)(132, 431)(133, 428)(134, 430)(135, 429)(136, 427)(137, 432)(138, 419)(139, 424)(140, 421)(141, 423)(142, 422)(143, 420)(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 ) }
Outer automorphisms :: reflexible
Dual of E13.1592
Graph:: bipartite
	v = 96 e = 288 f = 168
	degree seq :: [ 4^72, 12^24 ]

E13.1589 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 6})
Quotient :: dipole
Aut^+ = C2 x A4 x S3 (small group id <144, 190>)
Aut   = $<288, 1028>$ (small group id <288, 1028>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, (Y1 * Y2)^2, (R * Y3)^2, (R * Y1)^2, (Y1^-1 * Y2^-1)^2, (Y3^-1 * Y1^-1)^2, Y2^6, Y1^6, (Y2^2 * Y1^-1)^2, Y2 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2 * Y1^-3, Y1^-1 * Y2^-1 * Y1^2 * Y2 * Y1^-2 * Y2 * Y1^-1 * Y2 * Y1^-2, Y1^-1 * Y2 * Y1^-2 * Y2^-1 * Y1 * Y2^-1 * Y1^-2 * Y2 * Y1^-2 ]
Map::
	R = (1, 145, 2, 146, 6, 150, 16, 160, 13, 157, 4, 148)(3, 147, 9, 153, 23, 167, 47, 191, 28, 172, 11, 155)(5, 149, 14, 158, 33, 177, 44, 188, 20, 164, 7, 151)(8, 152, 21, 165, 45, 189, 71, 215, 38, 182, 17, 161)(10, 154, 25, 169, 52, 196, 80, 224, 46, 190, 22, 166)(12, 156, 29, 173, 57, 201, 95, 239, 60, 204, 31, 175)(15, 159, 30, 174, 59, 203, 98, 242, 63, 207, 34, 178)(18, 162, 39, 183, 72, 216, 105, 249, 65, 209, 35, 179)(19, 163, 41, 185, 74, 218, 114, 258, 73, 217, 40, 184)(24, 168, 50, 194, 86, 230, 127, 271, 84, 228, 48, 192)(26, 170, 42, 186, 69, 213, 103, 247, 87, 231, 51, 195)(27, 171, 54, 198, 91, 235, 104, 248, 93, 237, 55, 199)(32, 176, 36, 180, 66, 210, 106, 250, 100, 244, 61, 205)(37, 181, 68, 212, 108, 252, 136, 280, 107, 251, 67, 211)(43, 187, 76, 220, 118, 262, 97, 241, 120, 264, 77, 221)(49, 193, 85, 229, 111, 255, 70, 214, 110, 254, 81, 225)(53, 197, 90, 234, 131, 275, 135, 279, 129, 273, 88, 232)(56, 200, 82, 226, 112, 256, 79, 223, 122, 266, 94, 238)(58, 202, 64, 208, 102, 246, 134, 278, 133, 277, 96, 240)(62, 206, 101, 245, 113, 257, 99, 243, 121, 265, 78, 222)(75, 219, 117, 261, 143, 287, 128, 272, 141, 285, 115, 259)(83, 227, 125, 269, 137, 281, 109, 253, 139, 283, 124, 268)(89, 233, 130, 274, 138, 282, 126, 270, 144, 288, 119, 263)(92, 236, 123, 267, 140, 284, 116, 260, 142, 286, 132, 276)(289, 433, 291, 435, 298, 442, 314, 458, 303, 447, 293, 437)(290, 434, 295, 439, 307, 451, 330, 474, 310, 454, 296, 440)(292, 436, 300, 444, 318, 462, 339, 483, 312, 456, 297, 441)(294, 438, 305, 449, 325, 469, 357, 501, 328, 472, 306, 450)(299, 443, 315, 459, 302, 446, 322, 466, 341, 485, 313, 457)(301, 445, 320, 464, 338, 482, 375, 519, 346, 490, 317, 461)(304, 448, 323, 467, 352, 496, 391, 535, 355, 499, 324, 468)(308, 452, 331, 475, 309, 453, 334, 478, 363, 507, 329, 473)(311, 455, 336, 480, 371, 515, 347, 491, 319, 463, 337, 481)(316, 460, 344, 488, 378, 522, 351, 495, 380, 524, 342, 486)(321, 465, 343, 487, 377, 521, 340, 484, 376, 520, 350, 494)(326, 470, 358, 502, 327, 471, 361, 505, 397, 541, 356, 500)(332, 476, 366, 510, 405, 549, 368, 512, 407, 551, 364, 508)(333, 477, 365, 509, 404, 548, 362, 506, 403, 547, 367, 511)(335, 479, 369, 513, 411, 555, 386, 530, 412, 556, 370, 514)(345, 489, 384, 528, 416, 560, 374, 518, 349, 493, 385, 529)(348, 492, 387, 531, 413, 557, 372, 516, 414, 558, 373, 517)(353, 497, 392, 536, 354, 498, 395, 539, 423, 567, 390, 534)(359, 503, 400, 544, 427, 571, 402, 546, 428, 572, 398, 542)(360, 504, 399, 543, 426, 570, 396, 540, 425, 569, 401, 545)(379, 523, 420, 564, 422, 566, 419, 563, 382, 526, 394, 538)(381, 525, 393, 537, 389, 533, 417, 561, 424, 568, 418, 562)(383, 527, 406, 550, 432, 576, 415, 559, 431, 575, 409, 553)(388, 532, 410, 554, 429, 573, 421, 565, 430, 574, 408, 552)
	L = (1, 291)(2, 295)(3, 298)(4, 300)(5, 289)(6, 305)(7, 307)(8, 290)(9, 292)(10, 314)(11, 315)(12, 318)(13, 320)(14, 322)(15, 293)(16, 323)(17, 325)(18, 294)(19, 330)(20, 331)(21, 334)(22, 296)(23, 336)(24, 297)(25, 299)(26, 303)(27, 302)(28, 344)(29, 301)(30, 339)(31, 337)(32, 338)(33, 343)(34, 341)(35, 352)(36, 304)(37, 357)(38, 358)(39, 361)(40, 306)(41, 308)(42, 310)(43, 309)(44, 366)(45, 365)(46, 363)(47, 369)(48, 371)(49, 311)(50, 375)(51, 312)(52, 376)(53, 313)(54, 316)(55, 377)(56, 378)(57, 384)(58, 317)(59, 319)(60, 387)(61, 385)(62, 321)(63, 380)(64, 391)(65, 392)(66, 395)(67, 324)(68, 326)(69, 328)(70, 327)(71, 400)(72, 399)(73, 397)(74, 403)(75, 329)(76, 332)(77, 404)(78, 405)(79, 333)(80, 407)(81, 411)(82, 335)(83, 347)(84, 414)(85, 348)(86, 349)(87, 346)(88, 350)(89, 340)(90, 351)(91, 420)(92, 342)(93, 393)(94, 394)(95, 406)(96, 416)(97, 345)(98, 412)(99, 413)(100, 410)(101, 417)(102, 353)(103, 355)(104, 354)(105, 389)(106, 379)(107, 423)(108, 425)(109, 356)(110, 359)(111, 426)(112, 427)(113, 360)(114, 428)(115, 367)(116, 362)(117, 368)(118, 432)(119, 364)(120, 388)(121, 383)(122, 429)(123, 386)(124, 370)(125, 372)(126, 373)(127, 431)(128, 374)(129, 424)(130, 381)(131, 382)(132, 422)(133, 430)(134, 419)(135, 390)(136, 418)(137, 401)(138, 396)(139, 402)(140, 398)(141, 421)(142, 408)(143, 409)(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) :: { ( 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4 ) }
Outer automorphisms :: reflexible
Dual of E13.1590
Graph:: bipartite
	v = 48 e = 288 f = 216
	degree seq :: [ 12^48 ]

E13.1590 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 6})
Quotient :: dipole
Aut^+ = C2 x A4 x S3 (small group id <144, 190>)
Aut   = $<288, 1028>$ (small group id <288, 1028>)
|r| :: 2
Presentation :: [ Y1, Y2^2, R^2, (R * Y3)^2, (R * Y1)^2, Y3^6, (R * Y2 * Y3^-1)^2, (Y3^-1 * Y2 * Y3^-2)^2, (Y3 * Y2)^6, (Y3^-1 * Y1^-1)^6, (Y3 * Y2 * Y3 * Y2 * Y3^-1 * Y2 * Y3^-1 * Y2)^2 ]
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, 312, 456)(302, 446, 316, 460)(303, 447, 317, 461)(304, 448, 319, 463)(306, 450, 313, 457)(307, 451, 323, 467)(308, 452, 324, 468)(310, 454, 325, 469)(311, 455, 327, 471)(314, 458, 331, 475)(315, 459, 332, 476)(318, 462, 335, 479)(320, 464, 338, 482)(321, 465, 339, 483)(322, 466, 340, 484)(326, 470, 347, 491)(328, 472, 350, 494)(329, 473, 351, 495)(330, 474, 352, 496)(333, 477, 356, 500)(334, 478, 358, 502)(336, 480, 362, 506)(337, 481, 363, 507)(341, 485, 368, 512)(342, 486, 369, 513)(343, 487, 370, 514)(344, 488, 345, 489)(346, 490, 372, 516)(348, 492, 376, 520)(349, 493, 377, 521)(353, 497, 382, 526)(354, 498, 383, 527)(355, 499, 384, 528)(357, 501, 385, 529)(359, 503, 381, 525)(360, 504, 388, 532)(361, 505, 389, 533)(364, 508, 393, 537)(365, 509, 394, 538)(366, 510, 395, 539)(367, 511, 373, 517)(371, 515, 400, 544)(374, 518, 403, 547)(375, 519, 404, 548)(378, 522, 408, 552)(379, 523, 409, 553)(380, 524, 410, 554)(386, 530, 405, 549)(387, 531, 402, 546)(390, 534, 401, 545)(391, 535, 411, 555)(392, 536, 407, 551)(396, 540, 406, 550)(397, 541, 414, 558)(398, 542, 413, 557)(399, 543, 412, 556)(415, 559, 426, 570)(416, 560, 425, 569)(417, 561, 424, 568)(418, 562, 429, 573)(419, 563, 428, 572)(420, 564, 427, 571)(421, 565, 432, 576)(422, 566, 431, 575)(423, 567, 430, 574)
	L = (1, 291)(2, 293)(3, 296)(4, 289)(5, 300)(6, 290)(7, 303)(8, 306)(9, 307)(10, 292)(11, 310)(12, 313)(13, 314)(14, 294)(15, 318)(16, 295)(17, 321)(18, 298)(19, 322)(20, 297)(21, 320)(22, 326)(23, 299)(24, 329)(25, 302)(26, 330)(27, 301)(28, 328)(29, 333)(30, 309)(31, 336)(32, 304)(33, 308)(34, 305)(35, 341)(36, 343)(37, 345)(38, 316)(39, 348)(40, 311)(41, 315)(42, 312)(43, 353)(44, 355)(45, 357)(46, 317)(47, 360)(48, 361)(49, 319)(50, 359)(51, 364)(52, 366)(53, 365)(54, 323)(55, 367)(56, 324)(57, 371)(58, 325)(59, 374)(60, 375)(61, 327)(62, 373)(63, 378)(64, 380)(65, 379)(66, 331)(67, 381)(68, 332)(69, 338)(70, 386)(71, 334)(72, 337)(73, 335)(74, 390)(75, 392)(76, 342)(77, 339)(78, 344)(79, 340)(80, 389)(81, 396)(82, 398)(83, 350)(84, 401)(85, 346)(86, 349)(87, 347)(88, 405)(89, 407)(90, 354)(91, 351)(92, 356)(93, 352)(94, 404)(95, 411)(96, 413)(97, 415)(98, 416)(99, 358)(100, 417)(101, 419)(102, 418)(103, 362)(104, 368)(105, 363)(106, 420)(107, 422)(108, 421)(109, 369)(110, 423)(111, 370)(112, 424)(113, 425)(114, 372)(115, 426)(116, 428)(117, 427)(118, 376)(119, 382)(120, 377)(121, 429)(122, 431)(123, 430)(124, 383)(125, 432)(126, 384)(127, 387)(128, 385)(129, 391)(130, 388)(131, 393)(132, 397)(133, 394)(134, 399)(135, 395)(136, 402)(137, 400)(138, 406)(139, 403)(140, 408)(141, 412)(142, 409)(143, 414)(144, 410)(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, 12 ), ( 12^4 ) }
Outer automorphisms :: reflexible
Dual of E13.1589
Graph:: simple bipartite
	v = 216 e = 288 f = 48
	degree seq :: [ 2^144, 4^72 ]

E13.1591 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 6})
Quotient :: dipole
Aut^+ = C2 x A4 x S3 (small group id <144, 190>)
Aut   = $<288, 1028>$ (small group id <288, 1028>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y1)^2, (R * Y3)^2, (Y3 * Y2^-1)^2, (R * Y2 * Y3^-1)^2, Y1^6, Y3 * Y1^2 * Y3^-2 * Y1^-2 * Y3, Y3 * Y1 * Y3 * Y1^2 * Y3^-1 * Y1 * Y3^-1 * Y1^2, Y1^-1 * Y3 * Y1^-2 * Y3 * Y1^-1 * Y3^-1 * Y1^-2 * Y3^-1, Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1, Y3 * Y1^-1 * Y3 * Y1^-1 * Y3^-1 * Y1^-1 * Y3 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1, Y1^-1 * Y3^-1 * Y1^2 * Y3^-1 * Y1^-2 * Y3 * Y1^2 * Y3 * Y1^-1, Y3 * Y1^-1 * Y3 * Y1^2 * Y3 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^2 * Y3^-1 * Y1^-1, Y3 * Y1^2 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3^-1 * Y1^2 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 ]
Map:: polytopal
	R = (1, 145, 2, 146, 5, 149, 11, 155, 10, 154, 4, 148)(3, 147, 7, 151, 15, 159, 29, 173, 18, 162, 8, 152)(6, 150, 13, 157, 25, 169, 48, 192, 28, 172, 14, 158)(9, 153, 19, 163, 36, 180, 66, 210, 39, 183, 20, 164)(12, 156, 23, 167, 44, 188, 78, 222, 47, 191, 24, 168)(16, 160, 31, 175, 58, 202, 97, 241, 61, 205, 32, 176)(17, 161, 33, 177, 62, 206, 80, 224, 45, 189, 34, 178)(21, 165, 40, 184, 71, 215, 110, 254, 73, 217, 41, 185)(22, 166, 42, 186, 74, 218, 112, 256, 77, 221, 43, 187)(26, 170, 50, 194, 38, 182, 70, 214, 88, 232, 51, 195)(27, 171, 52, 196, 89, 233, 114, 258, 75, 219, 53, 197)(30, 174, 56, 200, 95, 239, 113, 257, 83, 227, 57, 201)(35, 179, 65, 209, 104, 248, 116, 260, 85, 229, 49, 193)(37, 181, 68, 212, 76, 220, 115, 259, 109, 253, 69, 213)(46, 190, 81, 225, 120, 264, 111, 255, 72, 216, 82, 226)(54, 198, 92, 236, 67, 211, 107, 251, 118, 262, 79, 223)(55, 199, 93, 237, 117, 261, 141, 285, 132, 276, 94, 238)(59, 203, 86, 230, 64, 208, 91, 235, 122, 266, 98, 242)(60, 204, 99, 243, 121, 265, 139, 283, 131, 275, 100, 244)(63, 207, 87, 231, 126, 270, 140, 284, 136, 280, 103, 247)(84, 228, 123, 267, 138, 282, 135, 279, 106, 250, 124, 268)(90, 234, 119, 263, 143, 287, 134, 278, 108, 252, 129, 273)(96, 240, 128, 272, 142, 286, 137, 281, 105, 249, 127, 271)(101, 245, 130, 274, 102, 246, 125, 269, 144, 288, 133, 277)(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, 310)(12, 293)(13, 314)(14, 315)(15, 318)(16, 295)(17, 296)(18, 323)(19, 325)(20, 326)(21, 298)(22, 299)(23, 333)(24, 334)(25, 337)(26, 301)(27, 302)(28, 342)(29, 343)(30, 303)(31, 347)(32, 348)(33, 351)(34, 352)(35, 306)(36, 355)(37, 307)(38, 308)(39, 344)(40, 360)(41, 346)(42, 363)(43, 364)(44, 367)(45, 311)(46, 312)(47, 371)(48, 372)(49, 313)(50, 374)(51, 375)(52, 378)(53, 379)(54, 316)(55, 317)(56, 327)(57, 384)(58, 329)(59, 319)(60, 320)(61, 389)(62, 390)(63, 321)(64, 322)(65, 393)(66, 394)(67, 324)(68, 386)(69, 396)(70, 388)(71, 392)(72, 328)(73, 395)(74, 401)(75, 330)(76, 331)(77, 404)(78, 405)(79, 332)(80, 407)(81, 409)(82, 410)(83, 335)(84, 336)(85, 413)(86, 338)(87, 339)(88, 415)(89, 416)(90, 340)(91, 341)(92, 418)(93, 419)(94, 414)(95, 421)(96, 345)(97, 422)(98, 356)(99, 423)(100, 358)(101, 349)(102, 350)(103, 411)(104, 359)(105, 353)(106, 354)(107, 361)(108, 357)(109, 425)(110, 420)(111, 424)(112, 426)(113, 362)(114, 427)(115, 428)(116, 365)(117, 366)(118, 430)(119, 368)(120, 432)(121, 369)(122, 370)(123, 391)(124, 431)(125, 373)(126, 382)(127, 376)(128, 377)(129, 429)(130, 380)(131, 381)(132, 398)(133, 383)(134, 385)(135, 387)(136, 399)(137, 397)(138, 400)(139, 402)(140, 403)(141, 417)(142, 406)(143, 412)(144, 408)(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 ) }
Outer automorphisms :: reflexible
Dual of E13.1587
Graph:: simple bipartite
	v = 168 e = 288 f = 96
	degree seq :: [ 2^144, 12^24 ]

E13.1592 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 6})
Quotient :: dipole
Aut^+ = C2 x A4 x S3 (small group id <144, 190>)
Aut   = $<288, 1028>$ (small group id <288, 1028>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y1)^2, (R * Y3)^2, (Y3 * Y2^-1)^2, (R * Y2 * Y3^-1)^2, Y1^6, Y3^-1 * Y1^-2 * Y3^2 * Y1^2 * Y3^-1, Y3 * Y1^-3 * Y3^-1 * Y1^-3, (Y3^-1 * Y1^-1)^6, Y3 * Y1^-1 * Y3 * Y1^2 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3 * Y1^2 * Y3^-1 * Y1^-1, Y3 * Y1 * Y3 * Y1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1, Y3 * Y1^-1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1^-1 ]
Map:: polytopal
	R = (1, 145, 2, 146, 5, 149, 11, 155, 10, 154, 4, 148)(3, 147, 7, 151, 15, 159, 22, 166, 18, 162, 8, 152)(6, 150, 13, 157, 25, 169, 21, 165, 28, 172, 14, 158)(9, 153, 19, 163, 24, 168, 12, 156, 23, 167, 20, 164)(16, 160, 30, 174, 47, 191, 34, 178, 50, 194, 31, 175)(17, 161, 32, 176, 46, 190, 29, 173, 45, 189, 33, 177)(26, 170, 40, 184, 63, 207, 44, 188, 66, 210, 41, 185)(27, 171, 42, 186, 62, 206, 39, 183, 61, 205, 43, 187)(35, 179, 53, 197, 58, 202, 37, 181, 57, 201, 54, 198)(36, 180, 55, 199, 60, 204, 38, 182, 59, 203, 56, 200)(48, 192, 72, 216, 101, 245, 76, 220, 86, 230, 73, 217)(49, 193, 74, 218, 100, 244, 71, 215, 99, 243, 75, 219)(51, 195, 77, 221, 98, 242, 69, 213, 97, 241, 78, 222)(52, 196, 79, 223, 93, 237, 70, 214, 90, 234, 64, 208)(65, 209, 91, 235, 120, 264, 89, 233, 119, 263, 92, 236)(67, 211, 94, 238, 118, 262, 87, 231, 117, 261, 95, 239)(68, 212, 96, 240, 80, 224, 88, 232, 112, 256, 83, 227)(81, 225, 108, 252, 114, 258, 84, 228, 113, 257, 109, 253)(82, 226, 110, 254, 116, 260, 85, 229, 115, 259, 111, 255)(102, 246, 124, 268, 144, 288, 131, 275, 141, 285, 123, 267)(103, 247, 122, 266, 137, 281, 129, 273, 143, 287, 132, 276)(104, 248, 126, 270, 105, 249, 130, 274, 136, 280, 127, 271)(106, 250, 125, 269, 140, 284, 128, 272, 142, 286, 133, 277)(107, 251, 134, 278, 138, 282, 121, 265, 139, 283, 135, 279)(289, 433)(290, 434)(291, 435)(292, 436)(293, 437)(294, 438)(295, 439)(296, 440)(297, 441)(298, 442)(299, 443)(300, 444)(301, 445)(302, 446)(303, 447)(304, 448)(305, 449)(306, 450)(307, 451)(308, 452)(309, 453)(310, 454)(311, 455)(312, 456)(313, 457)(314, 458)(315, 459)(316, 460)(317, 461)(318, 462)(319, 463)(320, 464)(321, 465)(322, 466)(323, 467)(324, 468)(325, 469)(326, 470)(327, 471)(328, 472)(329, 473)(330, 474)(331, 475)(332, 476)(333, 477)(334, 478)(335, 479)(336, 480)(337, 481)(338, 482)(339, 483)(340, 484)(341, 485)(342, 486)(343, 487)(344, 488)(345, 489)(346, 490)(347, 491)(348, 492)(349, 493)(350, 494)(351, 495)(352, 496)(353, 497)(354, 498)(355, 499)(356, 500)(357, 501)(358, 502)(359, 503)(360, 504)(361, 505)(362, 506)(363, 507)(364, 508)(365, 509)(366, 510)(367, 511)(368, 512)(369, 513)(370, 514)(371, 515)(372, 516)(373, 517)(374, 518)(375, 519)(376, 520)(377, 521)(378, 522)(379, 523)(380, 524)(381, 525)(382, 526)(383, 527)(384, 528)(385, 529)(386, 530)(387, 531)(388, 532)(389, 533)(390, 534)(391, 535)(392, 536)(393, 537)(394, 538)(395, 539)(396, 540)(397, 541)(398, 542)(399, 543)(400, 544)(401, 545)(402, 546)(403, 547)(404, 548)(405, 549)(406, 550)(407, 551)(408, 552)(409, 553)(410, 554)(411, 555)(412, 556)(413, 557)(414, 558)(415, 559)(416, 560)(417, 561)(418, 562)(419, 563)(420, 564)(421, 565)(422, 566)(423, 567)(424, 568)(425, 569)(426, 570)(427, 571)(428, 572)(429, 573)(430, 574)(431, 575)(432, 576)
	L = (1, 291)(2, 294)(3, 289)(4, 297)(5, 300)(6, 290)(7, 304)(8, 305)(9, 292)(10, 309)(11, 310)(12, 293)(13, 314)(14, 315)(15, 317)(16, 295)(17, 296)(18, 322)(19, 323)(20, 324)(21, 298)(22, 299)(23, 325)(24, 326)(25, 327)(26, 301)(27, 302)(28, 332)(29, 303)(30, 336)(31, 337)(32, 339)(33, 340)(34, 306)(35, 307)(36, 308)(37, 311)(38, 312)(39, 313)(40, 352)(41, 353)(42, 355)(43, 356)(44, 316)(45, 357)(46, 358)(47, 359)(48, 318)(49, 319)(50, 364)(51, 320)(52, 321)(53, 368)(54, 369)(55, 370)(56, 360)(57, 371)(58, 372)(59, 373)(60, 374)(61, 375)(62, 376)(63, 377)(64, 328)(65, 329)(66, 381)(67, 330)(68, 331)(69, 333)(70, 334)(71, 335)(72, 344)(73, 390)(74, 391)(75, 392)(76, 338)(77, 393)(78, 394)(79, 395)(80, 341)(81, 342)(82, 343)(83, 345)(84, 346)(85, 347)(86, 348)(87, 349)(88, 350)(89, 351)(90, 409)(91, 410)(92, 411)(93, 354)(94, 412)(95, 413)(96, 414)(97, 415)(98, 416)(99, 417)(100, 418)(101, 419)(102, 361)(103, 362)(104, 363)(105, 365)(106, 366)(107, 367)(108, 420)(109, 423)(110, 422)(111, 421)(112, 424)(113, 425)(114, 426)(115, 427)(116, 428)(117, 429)(118, 430)(119, 431)(120, 432)(121, 378)(122, 379)(123, 380)(124, 382)(125, 383)(126, 384)(127, 385)(128, 386)(129, 387)(130, 388)(131, 389)(132, 396)(133, 399)(134, 398)(135, 397)(136, 400)(137, 401)(138, 402)(139, 403)(140, 404)(141, 405)(142, 406)(143, 407)(144, 408)(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 ) }
Outer automorphisms :: reflexible
Dual of E13.1588
Graph:: simple bipartite
	v = 168 e = 288 f = 96
	degree seq :: [ 2^144, 12^24 ]

E13.1593 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 4, 12})
Quotient :: regular
Aut^+ = (C2 x ((C3 x C3) : C4)) : C2 (small group id <144, 115>)
Aut   = $<288, 889>$ (small group id <288, 889>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, (T1^-1 * T2)^4, (T2 * T1 * T2 * T1^-1)^2, T1^12, T1^-2 * T2 * T1^-2 * T2 * T1^2 * T2 * T1^2 * T2, (T2 * T1^-6)^2 ]
Map:: polytopal non-degenerate
	R = (1, 2, 5, 11, 23, 43, 71, 70, 42, 22, 10, 4)(3, 7, 15, 31, 55, 87, 106, 96, 62, 36, 18, 8)(6, 13, 27, 51, 83, 121, 105, 124, 86, 54, 30, 14)(9, 19, 37, 63, 97, 108, 72, 107, 98, 64, 38, 20)(12, 25, 47, 79, 117, 104, 69, 103, 120, 82, 50, 26)(16, 33, 58, 91, 129, 143, 134, 136, 110, 77, 48, 29)(17, 34, 59, 92, 130, 144, 125, 135, 111, 76, 49, 28)(21, 39, 65, 99, 112, 74, 44, 73, 109, 100, 66, 40)(24, 45, 75, 113, 102, 68, 41, 67, 101, 116, 78, 46)(32, 53, 80, 115, 137, 133, 95, 122, 142, 128, 90, 57)(35, 52, 81, 114, 138, 126, 88, 123, 141, 131, 93, 60)(56, 89, 127, 139, 119, 84, 61, 94, 132, 140, 118, 85)
	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, 34)(20, 33)(22, 41)(23, 44)(25, 48)(26, 49)(27, 52)(30, 53)(31, 56)(36, 61)(37, 60)(38, 57)(39, 58)(40, 59)(42, 69)(43, 72)(45, 76)(46, 77)(47, 80)(50, 81)(51, 84)(54, 85)(55, 88)(62, 95)(63, 94)(64, 89)(65, 90)(66, 93)(67, 92)(68, 91)(70, 105)(71, 106)(73, 110)(74, 111)(75, 114)(78, 115)(79, 118)(82, 119)(83, 122)(86, 123)(87, 125)(96, 134)(97, 133)(98, 126)(99, 127)(100, 132)(101, 131)(102, 128)(103, 129)(104, 130)(107, 135)(108, 136)(109, 137)(112, 138)(113, 139)(116, 140)(117, 141)(120, 142)(121, 143)(124, 144)
	local type(s) :: { ( 4^12 ) }
Outer automorphisms :: reflexible
Dual of E13.1594
Transitivity :: ET+ VT+ AT+ REG+
Graph:: bipartite
	v = 12 e = 72 f = 36
	degree seq :: [ 12^12 ]

E13.1594 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 4, 12})
Quotient :: regular
Aut^+ = (C2 x ((C3 x C3) : C4)) : C2 (small group id <144, 115>)
Aut   = $<288, 889>$ (small group id <288, 889>)
|r| :: 2
Presentation :: [ T2^2, F^2, T1^4, (F * T2)^2, (F * T1)^2, (T2 * T1^-1 * T2 * T1)^2, T2 * T1^-1 * T2 * T1 * T2 * T1^2 * T2 * T1 * T2 * T1^-1 * T2 * T1^-2, T2 * T1^-2 * T2 * T1^2 * T2 * T1^-2 * T2 * T1^2 * T2 * T1^-2 * T2 * T1^-2, (T1^-1 * T2)^12 ]
Map:: polytopal non-degenerate
	R = (1, 2, 5, 4)(3, 7, 13, 8)(6, 11, 20, 12)(9, 16, 27, 17)(10, 18, 29, 19)(14, 24, 34, 22)(15, 25, 38, 26)(21, 33, 44, 31)(23, 35, 49, 36)(28, 30, 43, 41)(32, 45, 62, 46)(37, 52, 69, 51)(39, 50, 68, 54)(40, 55, 74, 56)(42, 58, 77, 59)(47, 65, 84, 64)(48, 63, 83, 66)(53, 71, 92, 72)(57, 75, 96, 76)(60, 80, 100, 79)(61, 78, 99, 81)(67, 87, 98, 88)(70, 91, 108, 86)(73, 93, 115, 94)(82, 103, 95, 104)(85, 107, 122, 102)(89, 111, 120, 110)(90, 109, 119, 112)(97, 101, 121, 118)(105, 125, 114, 124)(106, 123, 117, 126)(113, 131, 136, 130)(116, 129, 135, 133)(127, 139, 134, 138)(128, 137, 132, 140)(141, 143, 142, 144)
	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, 57)(43, 60)(44, 61)(45, 63)(46, 64)(49, 67)(52, 70)(54, 73)(55, 75)(56, 72)(58, 78)(59, 79)(62, 82)(65, 85)(66, 86)(68, 89)(69, 90)(71, 93)(74, 95)(76, 97)(77, 98)(80, 101)(81, 102)(83, 105)(84, 106)(87, 109)(88, 110)(91, 113)(92, 114)(94, 116)(96, 117)(99, 119)(100, 120)(103, 123)(104, 124)(107, 127)(108, 128)(111, 129)(112, 130)(115, 132)(118, 134)(121, 135)(122, 136)(125, 137)(126, 138)(131, 141)(133, 142)(139, 143)(140, 144)
	local type(s) :: { ( 12^4 ) }
Outer automorphisms :: reflexible
Dual of E13.1593
Transitivity :: ET+ VT+ AT+ REG+
Graph:: simple bipartite
	v = 36 e = 72 f = 12
	degree seq :: [ 4^36 ]

E13.1595 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 4, 12})
Quotient :: edge
Aut^+ = (C2 x ((C3 x C3) : C4)) : C2 (small group id <144, 115>)
Aut   = $<288, 889>$ (small group id <288, 889>)
|r| :: 2
Presentation :: [ T1^2, F^2, T2^4, (F * T2)^2, (F * T1)^2, (T1 * T2^-1 * T1 * T2)^2, T2^-1 * T1 * T2 * T1 * T2^2 * T1 * T2 * T1 * T2^-1 * T1 * T2^-2 * T1, T2 * T1 * T2^-2 * T1 * T2^2 * T1 * T2^-2 * T1 * T2^-2 * T1 * T2^-2 * T1 * T2, (T2^-1 * T1)^12 ]
Map:: polytopal
	R = (1, 3, 8, 4)(2, 5, 11, 6)(7, 13, 24, 14)(9, 16, 27, 17)(10, 18, 30, 19)(12, 21, 33, 22)(15, 25, 39, 26)(20, 31, 46, 32)(23, 35, 50, 36)(28, 38, 53, 41)(29, 42, 59, 43)(34, 45, 62, 48)(37, 51, 70, 52)(40, 55, 75, 56)(44, 60, 80, 61)(47, 64, 85, 65)(49, 67, 88, 68)(54, 72, 94, 73)(57, 74, 95, 76)(58, 77, 99, 78)(63, 82, 105, 83)(66, 84, 106, 86)(69, 89, 112, 90)(71, 92, 116, 93)(79, 100, 122, 101)(81, 103, 126, 104)(87, 109, 130, 110)(91, 113, 96, 114)(97, 115, 133, 118)(98, 119, 136, 120)(102, 123, 107, 124)(108, 125, 139, 128)(111, 131, 117, 132)(121, 137, 127, 138)(129, 141, 134, 142)(135, 143, 140, 144)(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, 193)(183, 198)(185, 201)(186, 202)(190, 207)(192, 210)(194, 213)(195, 204)(196, 212)(197, 215)(199, 218)(200, 209)(203, 223)(205, 222)(206, 225)(208, 228)(211, 231)(214, 235)(216, 233)(217, 237)(219, 240)(220, 241)(221, 242)(224, 246)(226, 244)(227, 248)(229, 251)(230, 252)(232, 255)(234, 254)(236, 259)(238, 249)(239, 261)(243, 265)(245, 264)(247, 269)(250, 271)(253, 273)(256, 266)(257, 275)(258, 268)(260, 270)(262, 278)(263, 279)(267, 281)(272, 284)(274, 280)(276, 286)(277, 283)(282, 288)(285, 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 ), ( 24^4 ) }
Outer automorphisms :: reflexible
Dual of E13.1599
Transitivity :: ET+
Graph:: simple bipartite
	v = 108 e = 144 f = 12
	degree seq :: [ 2^72, 4^36 ]

E13.1596 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 4, 12})
Quotient :: edge
Aut^+ = (C2 x ((C3 x C3) : C4)) : C2 (small group id <144, 115>)
Aut   = $<288, 889>$ (small group id <288, 889>)
|r| :: 2
Presentation :: [ F^2, (T2 * T1)^2, (F * T1)^2, T1^4, (F * T2)^2, T1 * T2^-2 * T1^-2 * T2^-2 * T1, T2^12, (T2^5 * T1^-1)^2 ]
Map:: polytopal non-degenerate
	R = (1, 3, 10, 24, 48, 82, 122, 96, 60, 32, 14, 5)(2, 7, 17, 38, 66, 106, 139, 116, 76, 44, 20, 8)(4, 12, 27, 53, 89, 127, 143, 120, 80, 46, 22, 9)(6, 15, 33, 61, 97, 130, 144, 137, 104, 64, 36, 16)(11, 26, 51, 87, 126, 95, 129, 135, 102, 63, 35, 23)(13, 29, 34, 62, 99, 132, 121, 83, 123, 92, 56, 30)(18, 40, 69, 109, 141, 115, 142, 118, 78, 45, 21, 37)(19, 41, 28, 54, 86, 125, 138, 107, 140, 112, 72, 42)(25, 50, 85, 124, 94, 59, 93, 98, 131, 117, 77, 47)(31, 57, 70, 110, 136, 103, 81, 49, 84, 111, 71, 58)(39, 68, 52, 88, 114, 75, 113, 90, 128, 91, 55, 65)(43, 73, 100, 133, 119, 79, 105, 67, 108, 134, 101, 74)(145, 146, 150, 148)(147, 153, 165, 155)(149, 157, 162, 151)(152, 163, 178, 159)(154, 167, 180, 169)(156, 160, 179, 172)(158, 175, 177, 173)(161, 181, 166, 183)(164, 187, 171, 185)(168, 191, 222, 193)(170, 189, 221, 196)(174, 199, 214, 184)(176, 203, 213, 201)(182, 209, 200, 211)(186, 215, 244, 206)(188, 219, 243, 217)(190, 223, 195, 212)(192, 225, 248, 227)(194, 208, 247, 230)(197, 218, 246, 234)(198, 207, 245, 229)(202, 216, 242, 205)(204, 239, 241, 237)(210, 249, 224, 251)(220, 259, 233, 257)(226, 265, 286, 260)(228, 262, 276, 258)(231, 263, 275, 256)(232, 261, 277, 255)(235, 268, 278, 254)(236, 269, 280, 252)(238, 272, 279, 253)(240, 271, 285, 273)(250, 282, 267, 281)(264, 274, 270, 284)(266, 283, 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) :: { ( 4^4 ), ( 4^12 ) }
Outer automorphisms :: reflexible
Dual of E13.1600
Transitivity :: ET+
Graph:: simple bipartite
	v = 48 e = 144 f = 72
	degree seq :: [ 4^36, 12^12 ]

E13.1597 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 4, 12})
Quotient :: edge
Aut^+ = (C2 x ((C3 x C3) : C4)) : C2 (small group id <144, 115>)
Aut   = $<288, 889>$ (small group id <288, 889>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, (T2 * T1^-1)^4, (T2 * T1 * T2 * T1^-1)^2, T1^12, T1^-2 * T2 * T1^-2 * T2 * T1^2 * T2 * T1^2 * T2, (T2 * T1^-6)^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, 35)(19, 34)(20, 33)(22, 41)(23, 44)(25, 48)(26, 49)(27, 52)(30, 53)(31, 56)(36, 61)(37, 60)(38, 57)(39, 58)(40, 59)(42, 69)(43, 72)(45, 76)(46, 77)(47, 80)(50, 81)(51, 84)(54, 85)(55, 88)(62, 95)(63, 94)(64, 89)(65, 90)(66, 93)(67, 92)(68, 91)(70, 105)(71, 106)(73, 110)(74, 111)(75, 114)(78, 115)(79, 118)(82, 119)(83, 122)(86, 123)(87, 125)(96, 134)(97, 133)(98, 126)(99, 127)(100, 132)(101, 131)(102, 128)(103, 129)(104, 130)(107, 135)(108, 136)(109, 137)(112, 138)(113, 139)(116, 140)(117, 141)(120, 142)(121, 143)(124, 144)(145, 146, 149, 155, 167, 187, 215, 214, 186, 166, 154, 148)(147, 151, 159, 175, 199, 231, 250, 240, 206, 180, 162, 152)(150, 157, 171, 195, 227, 265, 249, 268, 230, 198, 174, 158)(153, 163, 181, 207, 241, 252, 216, 251, 242, 208, 182, 164)(156, 169, 191, 223, 261, 248, 213, 247, 264, 226, 194, 170)(160, 177, 202, 235, 273, 287, 278, 280, 254, 221, 192, 173)(161, 178, 203, 236, 274, 288, 269, 279, 255, 220, 193, 172)(165, 183, 209, 243, 256, 218, 188, 217, 253, 244, 210, 184)(168, 189, 219, 257, 246, 212, 185, 211, 245, 260, 222, 190)(176, 197, 224, 259, 281, 277, 239, 266, 286, 272, 234, 201)(179, 196, 225, 258, 282, 270, 232, 267, 285, 275, 237, 204)(200, 233, 271, 283, 263, 228, 205, 238, 276, 284, 262, 229)
	L = (1, 145)(2, 146)(3, 147)(4, 148)(5, 149)(6, 150)(7, 151)(8, 152)(9, 153)(10, 154)(11, 155)(12, 156)(13, 157)(14, 158)(15, 159)(16, 160)(17, 161)(18, 162)(19, 163)(20, 164)(21, 165)(22, 166)(23, 167)(24, 168)(25, 169)(26, 170)(27, 171)(28, 172)(29, 173)(30, 174)(31, 175)(32, 176)(33, 177)(34, 178)(35, 179)(36, 180)(37, 181)(38, 182)(39, 183)(40, 184)(41, 185)(42, 186)(43, 187)(44, 188)(45, 189)(46, 190)(47, 191)(48, 192)(49, 193)(50, 194)(51, 195)(52, 196)(53, 197)(54, 198)(55, 199)(56, 200)(57, 201)(58, 202)(59, 203)(60, 204)(61, 205)(62, 206)(63, 207)(64, 208)(65, 209)(66, 210)(67, 211)(68, 212)(69, 213)(70, 214)(71, 215)(72, 216)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 8, 8 ), ( 8^12 ) }
Outer automorphisms :: reflexible
Dual of E13.1598
Transitivity :: ET+
Graph:: simple bipartite
	v = 84 e = 144 f = 36
	degree seq :: [ 2^72, 12^12 ]

E13.1598 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 4, 12})
Quotient :: loop
Aut^+ = (C2 x ((C3 x C3) : C4)) : C2 (small group id <144, 115>)
Aut   = $<288, 889>$ (small group id <288, 889>)
|r| :: 2
Presentation :: [ T1^2, F^2, T2^4, (F * T2)^2, (F * T1)^2, (T1 * T2^-1 * T1 * T2)^2, T2^-1 * T1 * T2 * T1 * T2^2 * T1 * T2 * T1 * T2^-1 * T1 * T2^-2 * T1, T2 * T1 * T2^-2 * T1 * T2^2 * T1 * T2^-2 * T1 * T2^-2 * T1 * T2^-2 * T1 * T2, (T2^-1 * T1)^12 ]
Map::
	R = (1, 145, 3, 147, 8, 152, 4, 148)(2, 146, 5, 149, 11, 155, 6, 150)(7, 151, 13, 157, 24, 168, 14, 158)(9, 153, 16, 160, 27, 171, 17, 161)(10, 154, 18, 162, 30, 174, 19, 163)(12, 156, 21, 165, 33, 177, 22, 166)(15, 159, 25, 169, 39, 183, 26, 170)(20, 164, 31, 175, 46, 190, 32, 176)(23, 167, 35, 179, 50, 194, 36, 180)(28, 172, 38, 182, 53, 197, 41, 185)(29, 173, 42, 186, 59, 203, 43, 187)(34, 178, 45, 189, 62, 206, 48, 192)(37, 181, 51, 195, 70, 214, 52, 196)(40, 184, 55, 199, 75, 219, 56, 200)(44, 188, 60, 204, 80, 224, 61, 205)(47, 191, 64, 208, 85, 229, 65, 209)(49, 193, 67, 211, 88, 232, 68, 212)(54, 198, 72, 216, 94, 238, 73, 217)(57, 201, 74, 218, 95, 239, 76, 220)(58, 202, 77, 221, 99, 243, 78, 222)(63, 207, 82, 226, 105, 249, 83, 227)(66, 210, 84, 228, 106, 250, 86, 230)(69, 213, 89, 233, 112, 256, 90, 234)(71, 215, 92, 236, 116, 260, 93, 237)(79, 223, 100, 244, 122, 266, 101, 245)(81, 225, 103, 247, 126, 270, 104, 248)(87, 231, 109, 253, 130, 274, 110, 254)(91, 235, 113, 257, 96, 240, 114, 258)(97, 241, 115, 259, 133, 277, 118, 262)(98, 242, 119, 263, 136, 280, 120, 264)(102, 246, 123, 267, 107, 251, 124, 268)(108, 252, 125, 269, 139, 283, 128, 272)(111, 255, 131, 275, 117, 261, 132, 276)(121, 265, 137, 281, 127, 271, 138, 282)(129, 273, 141, 285, 134, 278, 142, 286)(135, 279, 143, 287, 140, 284, 144, 288)
	L = (1, 146)(2, 145)(3, 151)(4, 153)(5, 154)(6, 156)(7, 147)(8, 159)(9, 148)(10, 149)(11, 164)(12, 150)(13, 167)(14, 163)(15, 152)(16, 165)(17, 172)(18, 173)(19, 158)(20, 155)(21, 160)(22, 178)(23, 157)(24, 181)(25, 182)(26, 180)(27, 184)(28, 161)(29, 162)(30, 188)(31, 189)(32, 187)(33, 191)(34, 166)(35, 193)(36, 170)(37, 168)(38, 169)(39, 198)(40, 171)(41, 201)(42, 202)(43, 176)(44, 174)(45, 175)(46, 207)(47, 177)(48, 210)(49, 179)(50, 213)(51, 204)(52, 212)(53, 215)(54, 183)(55, 218)(56, 209)(57, 185)(58, 186)(59, 223)(60, 195)(61, 222)(62, 225)(63, 190)(64, 228)(65, 200)(66, 192)(67, 231)(68, 196)(69, 194)(70, 235)(71, 197)(72, 233)(73, 237)(74, 199)(75, 240)(76, 241)(77, 242)(78, 205)(79, 203)(80, 246)(81, 206)(82, 244)(83, 248)(84, 208)(85, 251)(86, 252)(87, 211)(88, 255)(89, 216)(90, 254)(91, 214)(92, 259)(93, 217)(94, 249)(95, 261)(96, 219)(97, 220)(98, 221)(99, 265)(100, 226)(101, 264)(102, 224)(103, 269)(104, 227)(105, 238)(106, 271)(107, 229)(108, 230)(109, 273)(110, 234)(111, 232)(112, 266)(113, 275)(114, 268)(115, 236)(116, 270)(117, 239)(118, 278)(119, 279)(120, 245)(121, 243)(122, 256)(123, 281)(124, 258)(125, 247)(126, 260)(127, 250)(128, 284)(129, 253)(130, 280)(131, 257)(132, 286)(133, 283)(134, 262)(135, 263)(136, 274)(137, 267)(138, 288)(139, 277)(140, 272)(141, 287)(142, 276)(143, 285)(144, 282)
	local type(s) :: { ( 2, 12, 2, 12, 2, 12, 2, 12 ) }
Outer automorphisms :: reflexible
Dual of E13.1597
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 36 e = 144 f = 84
	degree seq :: [ 8^36 ]

E13.1599 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 4, 12})
Quotient :: loop
Aut^+ = (C2 x ((C3 x C3) : C4)) : C2 (small group id <144, 115>)
Aut   = $<288, 889>$ (small group id <288, 889>)
|r| :: 2
Presentation :: [ F^2, (T2 * T1)^2, (F * T1)^2, T1^4, (F * T2)^2, T1 * T2^-2 * T1^-2 * T2^-2 * T1, T2^12, (T2^5 * T1^-1)^2 ]
Map::
	R = (1, 145, 3, 147, 10, 154, 24, 168, 48, 192, 82, 226, 122, 266, 96, 240, 60, 204, 32, 176, 14, 158, 5, 149)(2, 146, 7, 151, 17, 161, 38, 182, 66, 210, 106, 250, 139, 283, 116, 260, 76, 220, 44, 188, 20, 164, 8, 152)(4, 148, 12, 156, 27, 171, 53, 197, 89, 233, 127, 271, 143, 287, 120, 264, 80, 224, 46, 190, 22, 166, 9, 153)(6, 150, 15, 159, 33, 177, 61, 205, 97, 241, 130, 274, 144, 288, 137, 281, 104, 248, 64, 208, 36, 180, 16, 160)(11, 155, 26, 170, 51, 195, 87, 231, 126, 270, 95, 239, 129, 273, 135, 279, 102, 246, 63, 207, 35, 179, 23, 167)(13, 157, 29, 173, 34, 178, 62, 206, 99, 243, 132, 276, 121, 265, 83, 227, 123, 267, 92, 236, 56, 200, 30, 174)(18, 162, 40, 184, 69, 213, 109, 253, 141, 285, 115, 259, 142, 286, 118, 262, 78, 222, 45, 189, 21, 165, 37, 181)(19, 163, 41, 185, 28, 172, 54, 198, 86, 230, 125, 269, 138, 282, 107, 251, 140, 284, 112, 256, 72, 216, 42, 186)(25, 169, 50, 194, 85, 229, 124, 268, 94, 238, 59, 203, 93, 237, 98, 242, 131, 275, 117, 261, 77, 221, 47, 191)(31, 175, 57, 201, 70, 214, 110, 254, 136, 280, 103, 247, 81, 225, 49, 193, 84, 228, 111, 255, 71, 215, 58, 202)(39, 183, 68, 212, 52, 196, 88, 232, 114, 258, 75, 219, 113, 257, 90, 234, 128, 272, 91, 235, 55, 199, 65, 209)(43, 187, 73, 217, 100, 244, 133, 277, 119, 263, 79, 223, 105, 249, 67, 211, 108, 252, 134, 278, 101, 245, 74, 218)
	L = (1, 146)(2, 150)(3, 153)(4, 145)(5, 157)(6, 148)(7, 149)(8, 163)(9, 165)(10, 167)(11, 147)(12, 160)(13, 162)(14, 175)(15, 152)(16, 179)(17, 181)(18, 151)(19, 178)(20, 187)(21, 155)(22, 183)(23, 180)(24, 191)(25, 154)(26, 189)(27, 185)(28, 156)(29, 158)(30, 199)(31, 177)(32, 203)(33, 173)(34, 159)(35, 172)(36, 169)(37, 166)(38, 209)(39, 161)(40, 174)(41, 164)(42, 215)(43, 171)(44, 219)(45, 221)(46, 223)(47, 222)(48, 225)(49, 168)(50, 208)(51, 212)(52, 170)(53, 218)(54, 207)(55, 214)(56, 211)(57, 176)(58, 216)(59, 213)(60, 239)(61, 202)(62, 186)(63, 245)(64, 247)(65, 200)(66, 249)(67, 182)(68, 190)(69, 201)(70, 184)(71, 244)(72, 242)(73, 188)(74, 246)(75, 243)(76, 259)(77, 196)(78, 193)(79, 195)(80, 251)(81, 248)(82, 265)(83, 192)(84, 262)(85, 198)(86, 194)(87, 263)(88, 261)(89, 257)(90, 197)(91, 268)(92, 269)(93, 204)(94, 272)(95, 241)(96, 271)(97, 237)(98, 205)(99, 217)(100, 206)(101, 229)(102, 234)(103, 230)(104, 227)(105, 224)(106, 282)(107, 210)(108, 236)(109, 238)(110, 235)(111, 232)(112, 231)(113, 220)(114, 228)(115, 233)(116, 226)(117, 277)(118, 276)(119, 275)(120, 274)(121, 286)(122, 283)(123, 281)(124, 278)(125, 280)(126, 284)(127, 285)(128, 279)(129, 240)(130, 270)(131, 256)(132, 258)(133, 255)(134, 254)(135, 253)(136, 252)(137, 250)(138, 267)(139, 288)(140, 264)(141, 273)(142, 260)(143, 266)(144, 287)
	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 E13.1595
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 12 e = 144 f = 108
	degree seq :: [ 24^12 ]

E13.1600 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 4, 12})
Quotient :: loop
Aut^+ = (C2 x ((C3 x C3) : C4)) : C2 (small group id <144, 115>)
Aut   = $<288, 889>$ (small group id <288, 889>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, (T2 * T1^-1)^4, (T2 * T1 * T2 * T1^-1)^2, T1^12, T1^-2 * T2 * T1^-2 * T2 * T1^2 * T2 * T1^2 * T2, (T2 * T1^-6)^2 ]
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, 35, 179)(19, 163, 34, 178)(20, 164, 33, 177)(22, 166, 41, 185)(23, 167, 44, 188)(25, 169, 48, 192)(26, 170, 49, 193)(27, 171, 52, 196)(30, 174, 53, 197)(31, 175, 56, 200)(36, 180, 61, 205)(37, 181, 60, 204)(38, 182, 57, 201)(39, 183, 58, 202)(40, 184, 59, 203)(42, 186, 69, 213)(43, 187, 72, 216)(45, 189, 76, 220)(46, 190, 77, 221)(47, 191, 80, 224)(50, 194, 81, 225)(51, 195, 84, 228)(54, 198, 85, 229)(55, 199, 88, 232)(62, 206, 95, 239)(63, 207, 94, 238)(64, 208, 89, 233)(65, 209, 90, 234)(66, 210, 93, 237)(67, 211, 92, 236)(68, 212, 91, 235)(70, 214, 105, 249)(71, 215, 106, 250)(73, 217, 110, 254)(74, 218, 111, 255)(75, 219, 114, 258)(78, 222, 115, 259)(79, 223, 118, 262)(82, 226, 119, 263)(83, 227, 122, 266)(86, 230, 123, 267)(87, 231, 125, 269)(96, 240, 134, 278)(97, 241, 133, 277)(98, 242, 126, 270)(99, 243, 127, 271)(100, 244, 132, 276)(101, 245, 131, 275)(102, 246, 128, 272)(103, 247, 129, 273)(104, 248, 130, 274)(107, 251, 135, 279)(108, 252, 136, 280)(109, 253, 137, 281)(112, 256, 138, 282)(113, 257, 139, 283)(116, 260, 140, 284)(117, 261, 141, 285)(120, 264, 142, 286)(121, 265, 143, 287)(124, 268, 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, 178)(18, 152)(19, 181)(20, 153)(21, 183)(22, 154)(23, 187)(24, 189)(25, 191)(26, 156)(27, 195)(28, 161)(29, 160)(30, 158)(31, 199)(32, 197)(33, 202)(34, 203)(35, 196)(36, 162)(37, 207)(38, 164)(39, 209)(40, 165)(41, 211)(42, 166)(43, 215)(44, 217)(45, 219)(46, 168)(47, 223)(48, 173)(49, 172)(50, 170)(51, 227)(52, 225)(53, 224)(54, 174)(55, 231)(56, 233)(57, 176)(58, 235)(59, 236)(60, 179)(61, 238)(62, 180)(63, 241)(64, 182)(65, 243)(66, 184)(67, 245)(68, 185)(69, 247)(70, 186)(71, 214)(72, 251)(73, 253)(74, 188)(75, 257)(76, 193)(77, 192)(78, 190)(79, 261)(80, 259)(81, 258)(82, 194)(83, 265)(84, 205)(85, 200)(86, 198)(87, 250)(88, 267)(89, 271)(90, 201)(91, 273)(92, 274)(93, 204)(94, 276)(95, 266)(96, 206)(97, 252)(98, 208)(99, 256)(100, 210)(101, 260)(102, 212)(103, 264)(104, 213)(105, 268)(106, 240)(107, 242)(108, 216)(109, 244)(110, 221)(111, 220)(112, 218)(113, 246)(114, 282)(115, 281)(116, 222)(117, 248)(118, 229)(119, 228)(120, 226)(121, 249)(122, 286)(123, 285)(124, 230)(125, 279)(126, 232)(127, 283)(128, 234)(129, 287)(130, 288)(131, 237)(132, 284)(133, 239)(134, 280)(135, 255)(136, 254)(137, 277)(138, 270)(139, 263)(140, 262)(141, 275)(142, 272)(143, 278)(144, 269)
	local type(s) :: { ( 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E13.1596
Transitivity :: ET+ VT+ AT
Graph:: simple bipartite
	v = 72 e = 144 f = 48
	degree seq :: [ 4^72 ]

E13.1601 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 12})
Quotient :: dipole
Aut^+ = (C2 x ((C3 x C3) : C4)) : C2 (small group id <144, 115>)
Aut   = $<288, 889>$ (small group id <288, 889>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, Y2^4, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, (Y1 * Y2^-1 * Y1 * Y2)^2, Y2^-1 * Y1 * Y2 * Y1 * Y2^2 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2^-2 * Y1, Y2 * Y1 * Y2^-2 * Y1 * Y2^2 * Y1 * Y2^-2 * Y1 * Y2^-2 * Y1 * Y2^-2 * Y1 * Y2, (Y3 * Y2^-1)^12 ]
Map::
	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, 19, 163)(16, 160, 21, 165)(17, 161, 28, 172)(18, 162, 29, 173)(22, 166, 34, 178)(24, 168, 37, 181)(25, 169, 38, 182)(26, 170, 36, 180)(27, 171, 40, 184)(30, 174, 44, 188)(31, 175, 45, 189)(32, 176, 43, 187)(33, 177, 47, 191)(35, 179, 49, 193)(39, 183, 54, 198)(41, 185, 57, 201)(42, 186, 58, 202)(46, 190, 63, 207)(48, 192, 66, 210)(50, 194, 69, 213)(51, 195, 60, 204)(52, 196, 68, 212)(53, 197, 71, 215)(55, 199, 74, 218)(56, 200, 65, 209)(59, 203, 79, 223)(61, 205, 78, 222)(62, 206, 81, 225)(64, 208, 84, 228)(67, 211, 87, 231)(70, 214, 91, 235)(72, 216, 89, 233)(73, 217, 93, 237)(75, 219, 96, 240)(76, 220, 97, 241)(77, 221, 98, 242)(80, 224, 102, 246)(82, 226, 100, 244)(83, 227, 104, 248)(85, 229, 107, 251)(86, 230, 108, 252)(88, 232, 111, 255)(90, 234, 110, 254)(92, 236, 115, 259)(94, 238, 105, 249)(95, 239, 117, 261)(99, 243, 121, 265)(101, 245, 120, 264)(103, 247, 125, 269)(106, 250, 127, 271)(109, 253, 129, 273)(112, 256, 122, 266)(113, 257, 131, 275)(114, 258, 124, 268)(116, 260, 126, 270)(118, 262, 134, 278)(119, 263, 135, 279)(123, 267, 137, 281)(128, 272, 140, 284)(130, 274, 136, 280)(132, 276, 142, 286)(133, 277, 139, 283)(138, 282, 144, 288)(141, 285, 143, 287)(289, 433, 291, 435, 296, 440, 292, 436)(290, 434, 293, 437, 299, 443, 294, 438)(295, 439, 301, 445, 312, 456, 302, 446)(297, 441, 304, 448, 315, 459, 305, 449)(298, 442, 306, 450, 318, 462, 307, 451)(300, 444, 309, 453, 321, 465, 310, 454)(303, 447, 313, 457, 327, 471, 314, 458)(308, 452, 319, 463, 334, 478, 320, 464)(311, 455, 323, 467, 338, 482, 324, 468)(316, 460, 326, 470, 341, 485, 329, 473)(317, 461, 330, 474, 347, 491, 331, 475)(322, 466, 333, 477, 350, 494, 336, 480)(325, 469, 339, 483, 358, 502, 340, 484)(328, 472, 343, 487, 363, 507, 344, 488)(332, 476, 348, 492, 368, 512, 349, 493)(335, 479, 352, 496, 373, 517, 353, 497)(337, 481, 355, 499, 376, 520, 356, 500)(342, 486, 360, 504, 382, 526, 361, 505)(345, 489, 362, 506, 383, 527, 364, 508)(346, 490, 365, 509, 387, 531, 366, 510)(351, 495, 370, 514, 393, 537, 371, 515)(354, 498, 372, 516, 394, 538, 374, 518)(357, 501, 377, 521, 400, 544, 378, 522)(359, 503, 380, 524, 404, 548, 381, 525)(367, 511, 388, 532, 410, 554, 389, 533)(369, 513, 391, 535, 414, 558, 392, 536)(375, 519, 397, 541, 418, 562, 398, 542)(379, 523, 401, 545, 384, 528, 402, 546)(385, 529, 403, 547, 421, 565, 406, 550)(386, 530, 407, 551, 424, 568, 408, 552)(390, 534, 411, 555, 395, 539, 412, 556)(396, 540, 413, 557, 427, 571, 416, 560)(399, 543, 419, 563, 405, 549, 420, 564)(409, 553, 425, 569, 415, 559, 426, 570)(417, 561, 429, 573, 422, 566, 430, 574)(423, 567, 431, 575, 428, 572, 432, 576)
	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, 307)(15, 296)(16, 309)(17, 316)(18, 317)(19, 302)(20, 299)(21, 304)(22, 322)(23, 301)(24, 325)(25, 326)(26, 324)(27, 328)(28, 305)(29, 306)(30, 332)(31, 333)(32, 331)(33, 335)(34, 310)(35, 337)(36, 314)(37, 312)(38, 313)(39, 342)(40, 315)(41, 345)(42, 346)(43, 320)(44, 318)(45, 319)(46, 351)(47, 321)(48, 354)(49, 323)(50, 357)(51, 348)(52, 356)(53, 359)(54, 327)(55, 362)(56, 353)(57, 329)(58, 330)(59, 367)(60, 339)(61, 366)(62, 369)(63, 334)(64, 372)(65, 344)(66, 336)(67, 375)(68, 340)(69, 338)(70, 379)(71, 341)(72, 377)(73, 381)(74, 343)(75, 384)(76, 385)(77, 386)(78, 349)(79, 347)(80, 390)(81, 350)(82, 388)(83, 392)(84, 352)(85, 395)(86, 396)(87, 355)(88, 399)(89, 360)(90, 398)(91, 358)(92, 403)(93, 361)(94, 393)(95, 405)(96, 363)(97, 364)(98, 365)(99, 409)(100, 370)(101, 408)(102, 368)(103, 413)(104, 371)(105, 382)(106, 415)(107, 373)(108, 374)(109, 417)(110, 378)(111, 376)(112, 410)(113, 419)(114, 412)(115, 380)(116, 414)(117, 383)(118, 422)(119, 423)(120, 389)(121, 387)(122, 400)(123, 425)(124, 402)(125, 391)(126, 404)(127, 394)(128, 428)(129, 397)(130, 424)(131, 401)(132, 430)(133, 427)(134, 406)(135, 407)(136, 418)(137, 411)(138, 432)(139, 421)(140, 416)(141, 431)(142, 420)(143, 429)(144, 426)(145, 433)(146, 434)(147, 435)(148, 436)(149, 437)(150, 438)(151, 439)(152, 440)(153, 441)(154, 442)(155, 443)(156, 444)(157, 445)(158, 446)(159, 447)(160, 448)(161, 449)(162, 450)(163, 451)(164, 452)(165, 453)(166, 454)(167, 455)(168, 456)(169, 457)(170, 458)(171, 459)(172, 460)(173, 461)(174, 462)(175, 463)(176, 464)(177, 465)(178, 466)(179, 467)(180, 468)(181, 469)(182, 470)(183, 471)(184, 472)(185, 473)(186, 474)(187, 475)(188, 476)(189, 477)(190, 478)(191, 479)(192, 480)(193, 481)(194, 482)(195, 483)(196, 484)(197, 485)(198, 486)(199, 487)(200, 488)(201, 489)(202, 490)(203, 491)(204, 492)(205, 493)(206, 494)(207, 495)(208, 496)(209, 497)(210, 498)(211, 499)(212, 500)(213, 501)(214, 502)(215, 503)(216, 504)(217, 505)(218, 506)(219, 507)(220, 508)(221, 509)(222, 510)(223, 511)(224, 512)(225, 513)(226, 514)(227, 515)(228, 516)(229, 517)(230, 518)(231, 519)(232, 520)(233, 521)(234, 522)(235, 523)(236, 524)(237, 525)(238, 526)(239, 527)(240, 528)(241, 529)(242, 530)(243, 531)(244, 532)(245, 533)(246, 534)(247, 535)(248, 536)(249, 537)(250, 538)(251, 539)(252, 540)(253, 541)(254, 542)(255, 543)(256, 544)(257, 545)(258, 546)(259, 547)(260, 548)(261, 549)(262, 550)(263, 551)(264, 552)(265, 553)(266, 554)(267, 555)(268, 556)(269, 557)(270, 558)(271, 559)(272, 560)(273, 561)(274, 562)(275, 563)(276, 564)(277, 565)(278, 566)(279, 567)(280, 568)(281, 569)(282, 570)(283, 571)(284, 572)(285, 573)(286, 574)(287, 575)(288, 576)
	local type(s) :: { ( 2, 24, 2, 24 ), ( 2, 24, 2, 24, 2, 24, 2, 24 ) }
Outer automorphisms :: reflexible
Dual of E13.1604
Graph:: bipartite
	v = 108 e = 288 f = 156
	degree seq :: [ 4^72, 8^36 ]

E13.1602 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 12})
Quotient :: dipole
Aut^+ = (C2 x ((C3 x C3) : C4)) : C2 (small group id <144, 115>)
Aut   = $<288, 889>$ (small group id <288, 889>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y2^-1, Y1^4, (Y2^-1 * Y1^-1)^2, R * Y2 * R * Y3, (R * Y1)^2, (Y3^-1 * Y1^-1)^2, Y2 * Y1 * Y2^-1 * Y1^2 * Y2^-2 * Y1^-1, Y1^-1 * Y2^-1 * Y1 * Y2 * Y1^-1 * Y2^-2 * Y1^-1, (Y2^5 * Y1^-1)^2, Y2^12 ]
Map::
	R = (1, 145, 2, 146, 6, 150, 4, 148)(3, 147, 9, 153, 21, 165, 11, 155)(5, 149, 13, 157, 18, 162, 7, 151)(8, 152, 19, 163, 34, 178, 15, 159)(10, 154, 23, 167, 36, 180, 25, 169)(12, 156, 16, 160, 35, 179, 28, 172)(14, 158, 31, 175, 33, 177, 29, 173)(17, 161, 37, 181, 22, 166, 39, 183)(20, 164, 43, 187, 27, 171, 41, 185)(24, 168, 47, 191, 78, 222, 49, 193)(26, 170, 45, 189, 77, 221, 52, 196)(30, 174, 55, 199, 70, 214, 40, 184)(32, 176, 59, 203, 69, 213, 57, 201)(38, 182, 65, 209, 56, 200, 67, 211)(42, 186, 71, 215, 100, 244, 62, 206)(44, 188, 75, 219, 99, 243, 73, 217)(46, 190, 79, 223, 51, 195, 68, 212)(48, 192, 81, 225, 104, 248, 83, 227)(50, 194, 64, 208, 103, 247, 86, 230)(53, 197, 74, 218, 102, 246, 90, 234)(54, 198, 63, 207, 101, 245, 85, 229)(58, 202, 72, 216, 98, 242, 61, 205)(60, 204, 95, 239, 97, 241, 93, 237)(66, 210, 105, 249, 80, 224, 107, 251)(76, 220, 115, 259, 89, 233, 113, 257)(82, 226, 121, 265, 142, 286, 116, 260)(84, 228, 118, 262, 132, 276, 114, 258)(87, 231, 119, 263, 131, 275, 112, 256)(88, 232, 117, 261, 133, 277, 111, 255)(91, 235, 124, 268, 134, 278, 110, 254)(92, 236, 125, 269, 136, 280, 108, 252)(94, 238, 128, 272, 135, 279, 109, 253)(96, 240, 127, 271, 141, 285, 129, 273)(106, 250, 138, 282, 123, 267, 137, 281)(120, 264, 130, 274, 126, 270, 140, 284)(122, 266, 139, 283, 144, 288, 143, 287)(289, 433, 291, 435, 298, 442, 312, 456, 336, 480, 370, 514, 410, 554, 384, 528, 348, 492, 320, 464, 302, 446, 293, 437)(290, 434, 295, 439, 305, 449, 326, 470, 354, 498, 394, 538, 427, 571, 404, 548, 364, 508, 332, 476, 308, 452, 296, 440)(292, 436, 300, 444, 315, 459, 341, 485, 377, 521, 415, 559, 431, 575, 408, 552, 368, 512, 334, 478, 310, 454, 297, 441)(294, 438, 303, 447, 321, 465, 349, 493, 385, 529, 418, 562, 432, 576, 425, 569, 392, 536, 352, 496, 324, 468, 304, 448)(299, 443, 314, 458, 339, 483, 375, 519, 414, 558, 383, 527, 417, 561, 423, 567, 390, 534, 351, 495, 323, 467, 311, 455)(301, 445, 317, 461, 322, 466, 350, 494, 387, 531, 420, 564, 409, 553, 371, 515, 411, 555, 380, 524, 344, 488, 318, 462)(306, 450, 328, 472, 357, 501, 397, 541, 429, 573, 403, 547, 430, 574, 406, 550, 366, 510, 333, 477, 309, 453, 325, 469)(307, 451, 329, 473, 316, 460, 342, 486, 374, 518, 413, 557, 426, 570, 395, 539, 428, 572, 400, 544, 360, 504, 330, 474)(313, 457, 338, 482, 373, 517, 412, 556, 382, 526, 347, 491, 381, 525, 386, 530, 419, 563, 405, 549, 365, 509, 335, 479)(319, 463, 345, 489, 358, 502, 398, 542, 424, 568, 391, 535, 369, 513, 337, 481, 372, 516, 399, 543, 359, 503, 346, 490)(327, 471, 356, 500, 340, 484, 376, 520, 402, 546, 363, 507, 401, 545, 378, 522, 416, 560, 379, 523, 343, 487, 353, 497)(331, 475, 361, 505, 388, 532, 421, 565, 407, 551, 367, 511, 393, 537, 355, 499, 396, 540, 422, 566, 389, 533, 362, 506)
	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, 325)(22, 297)(23, 299)(24, 336)(25, 338)(26, 339)(27, 341)(28, 342)(29, 322)(30, 301)(31, 345)(32, 302)(33, 349)(34, 350)(35, 311)(36, 304)(37, 306)(38, 354)(39, 356)(40, 357)(41, 316)(42, 307)(43, 361)(44, 308)(45, 309)(46, 310)(47, 313)(48, 370)(49, 372)(50, 373)(51, 375)(52, 376)(53, 377)(54, 374)(55, 353)(56, 318)(57, 358)(58, 319)(59, 381)(60, 320)(61, 385)(62, 387)(63, 323)(64, 324)(65, 327)(66, 394)(67, 396)(68, 340)(69, 397)(70, 398)(71, 346)(72, 330)(73, 388)(74, 331)(75, 401)(76, 332)(77, 335)(78, 333)(79, 393)(80, 334)(81, 337)(82, 410)(83, 411)(84, 399)(85, 412)(86, 413)(87, 414)(88, 402)(89, 415)(90, 416)(91, 343)(92, 344)(93, 386)(94, 347)(95, 417)(96, 348)(97, 418)(98, 419)(99, 420)(100, 421)(101, 362)(102, 351)(103, 369)(104, 352)(105, 355)(106, 427)(107, 428)(108, 422)(109, 429)(110, 424)(111, 359)(112, 360)(113, 378)(114, 363)(115, 430)(116, 364)(117, 365)(118, 366)(119, 367)(120, 368)(121, 371)(122, 384)(123, 380)(124, 382)(125, 426)(126, 383)(127, 431)(128, 379)(129, 423)(130, 432)(131, 405)(132, 409)(133, 407)(134, 389)(135, 390)(136, 391)(137, 392)(138, 395)(139, 404)(140, 400)(141, 403)(142, 406)(143, 408)(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, 4, 2, 4, 2, 4, 2, 4 ), ( 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 E13.1603
Graph:: bipartite
	v = 48 e = 288 f = 216
	degree seq :: [ 8^36, 24^12 ]

E13.1603 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 12})
Quotient :: dipole
Aut^+ = (C2 x ((C3 x C3) : C4)) : C2 (small group id <144, 115>)
Aut   = $<288, 889>$ (small group id <288, 889>)
|r| :: 2
Presentation :: [ Y1, Y2^2, R^2, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, (Y3 * Y2)^4, (Y3 * Y2 * Y3^-1 * Y2)^2, Y3^2 * Y2 * Y3^2 * Y2 * Y3^-2 * Y2 * Y3^-2 * Y2, Y3^6 * Y2 * Y3^-6 * Y2, (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, 316, 460)(304, 448, 312, 456)(306, 450, 323, 467)(307, 451, 315, 459)(308, 452, 311, 455)(310, 454, 329, 473)(314, 458, 335, 479)(318, 462, 341, 485)(319, 463, 339, 483)(320, 464, 333, 477)(321, 465, 332, 476)(322, 466, 338, 482)(324, 468, 349, 493)(325, 469, 340, 484)(326, 470, 334, 478)(327, 471, 331, 475)(328, 472, 337, 481)(330, 474, 357, 501)(336, 480, 365, 509)(342, 486, 373, 517)(343, 487, 372, 516)(344, 488, 364, 508)(345, 489, 361, 505)(346, 490, 369, 513)(347, 491, 368, 512)(348, 492, 360, 504)(350, 494, 383, 527)(351, 495, 371, 515)(352, 496, 363, 507)(353, 497, 362, 506)(354, 498, 370, 514)(355, 499, 367, 511)(356, 500, 359, 503)(358, 502, 393, 537)(366, 510, 402, 546)(374, 518, 412, 556)(375, 519, 410, 554)(376, 520, 400, 544)(377, 521, 399, 543)(378, 522, 409, 553)(379, 523, 406, 550)(380, 524, 396, 540)(381, 525, 395, 539)(382, 526, 405, 549)(384, 528, 403, 547)(385, 529, 411, 555)(386, 530, 401, 545)(387, 531, 398, 542)(388, 532, 408, 552)(389, 533, 407, 551)(390, 534, 397, 541)(391, 535, 394, 538)(392, 536, 404, 548)(413, 557, 423, 567)(414, 558, 432, 576)(415, 559, 429, 573)(416, 560, 426, 570)(417, 561, 427, 571)(418, 562, 428, 572)(419, 563, 425, 569)(420, 564, 430, 574)(421, 565, 431, 575)(422, 566, 424, 568)
	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, 319)(16, 295)(17, 321)(18, 324)(19, 325)(20, 297)(21, 327)(22, 298)(23, 331)(24, 299)(25, 333)(26, 336)(27, 337)(28, 301)(29, 339)(30, 302)(31, 343)(32, 304)(33, 345)(34, 305)(35, 347)(36, 350)(37, 351)(38, 308)(39, 353)(40, 309)(41, 355)(42, 310)(43, 359)(44, 312)(45, 361)(46, 313)(47, 363)(48, 366)(49, 367)(50, 316)(51, 369)(52, 317)(53, 371)(54, 318)(55, 375)(56, 320)(57, 377)(58, 322)(59, 379)(60, 323)(61, 381)(62, 384)(63, 385)(64, 326)(65, 387)(66, 328)(67, 389)(68, 329)(69, 391)(70, 330)(71, 394)(72, 332)(73, 396)(74, 334)(75, 398)(76, 335)(77, 400)(78, 403)(79, 404)(80, 338)(81, 406)(82, 340)(83, 408)(84, 341)(85, 410)(86, 342)(87, 413)(88, 344)(89, 415)(90, 346)(91, 417)(92, 348)(93, 419)(94, 349)(95, 421)(96, 358)(97, 422)(98, 352)(99, 420)(100, 354)(101, 418)(102, 356)(103, 416)(104, 357)(105, 414)(106, 423)(107, 360)(108, 425)(109, 362)(110, 427)(111, 364)(112, 429)(113, 365)(114, 431)(115, 374)(116, 432)(117, 368)(118, 430)(119, 370)(120, 428)(121, 372)(122, 426)(123, 373)(124, 424)(125, 393)(126, 376)(127, 392)(128, 378)(129, 390)(130, 380)(131, 388)(132, 382)(133, 386)(134, 383)(135, 412)(136, 395)(137, 411)(138, 397)(139, 409)(140, 399)(141, 407)(142, 401)(143, 405)(144, 402)(145, 433)(146, 434)(147, 435)(148, 436)(149, 437)(150, 438)(151, 439)(152, 440)(153, 441)(154, 442)(155, 443)(156, 444)(157, 445)(158, 446)(159, 447)(160, 448)(161, 449)(162, 450)(163, 451)(164, 452)(165, 453)(166, 454)(167, 455)(168, 456)(169, 457)(170, 458)(171, 459)(172, 460)(173, 461)(174, 462)(175, 463)(176, 464)(177, 465)(178, 466)(179, 467)(180, 468)(181, 469)(182, 470)(183, 471)(184, 472)(185, 473)(186, 474)(187, 475)(188, 476)(189, 477)(190, 478)(191, 479)(192, 480)(193, 481)(194, 482)(195, 483)(196, 484)(197, 485)(198, 486)(199, 487)(200, 488)(201, 489)(202, 490)(203, 491)(204, 492)(205, 493)(206, 494)(207, 495)(208, 496)(209, 497)(210, 498)(211, 499)(212, 500)(213, 501)(214, 502)(215, 503)(216, 504)(217, 505)(218, 506)(219, 507)(220, 508)(221, 509)(222, 510)(223, 511)(224, 512)(225, 513)(226, 514)(227, 515)(228, 516)(229, 517)(230, 518)(231, 519)(232, 520)(233, 521)(234, 522)(235, 523)(236, 524)(237, 525)(238, 526)(239, 527)(240, 528)(241, 529)(242, 530)(243, 531)(244, 532)(245, 533)(246, 534)(247, 535)(248, 536)(249, 537)(250, 538)(251, 539)(252, 540)(253, 541)(254, 542)(255, 543)(256, 544)(257, 545)(258, 546)(259, 547)(260, 548)(261, 549)(262, 550)(263, 551)(264, 552)(265, 553)(266, 554)(267, 555)(268, 556)(269, 557)(270, 558)(271, 559)(272, 560)(273, 561)(274, 562)(275, 563)(276, 564)(277, 565)(278, 566)(279, 567)(280, 568)(281, 569)(282, 570)(283, 571)(284, 572)(285, 573)(286, 574)(287, 575)(288, 576)
	local type(s) :: { ( 8, 24 ), ( 8, 24, 8, 24 ) }
Outer automorphisms :: reflexible
Dual of E13.1602
Graph:: simple bipartite
	v = 216 e = 288 f = 48
	degree seq :: [ 2^144, 4^72 ]

E13.1604 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 12})
Quotient :: dipole
Aut^+ = (C2 x ((C3 x C3) : C4)) : C2 (small group id <144, 115>)
Aut   = $<288, 889>$ (small group id <288, 889>)
|r| :: 2
Presentation :: [ Y2, R^2, Y3^4, Y3^4, (R * Y3)^2, (R * Y1)^2, (Y3 * Y2^-1)^2, Y3^-1 * Y1^-1 * Y3^2 * Y1 * Y3^-1, (R * Y2 * Y3^-1)^2, (Y3^-1, Y1^-1)^2, (Y1^-1 * Y3)^4, (Y3^-1 * Y1^-1)^4, Y1^-2 * Y3 * Y1^-2 * Y3 * Y1^2 * Y3^-1 * Y1^2 * Y3^-1, Y1^12, Y3 * Y1^-6 * Y3^-1 * Y1^-6, Y1^-2 * Y3 * Y1^3 * Y3 * Y1^-2 * Y3^-1 * Y1^-3 * Y3^-1 ]
Map:: polytopal
	R = (1, 145, 2, 146, 5, 149, 11, 155, 23, 167, 43, 187, 71, 215, 70, 214, 42, 186, 22, 166, 10, 154, 4, 148)(3, 147, 7, 151, 15, 159, 31, 175, 55, 199, 87, 231, 106, 250, 96, 240, 62, 206, 36, 180, 18, 162, 8, 152)(6, 150, 13, 157, 27, 171, 51, 195, 83, 227, 121, 265, 105, 249, 124, 268, 86, 230, 54, 198, 30, 174, 14, 158)(9, 153, 19, 163, 37, 181, 63, 207, 97, 241, 108, 252, 72, 216, 107, 251, 98, 242, 64, 208, 38, 182, 20, 164)(12, 156, 25, 169, 47, 191, 79, 223, 117, 261, 104, 248, 69, 213, 103, 247, 120, 264, 82, 226, 50, 194, 26, 170)(16, 160, 33, 177, 58, 202, 91, 235, 129, 273, 143, 287, 134, 278, 136, 280, 110, 254, 77, 221, 48, 192, 29, 173)(17, 161, 34, 178, 59, 203, 92, 236, 130, 274, 144, 288, 125, 269, 135, 279, 111, 255, 76, 220, 49, 193, 28, 172)(21, 165, 39, 183, 65, 209, 99, 243, 112, 256, 74, 218, 44, 188, 73, 217, 109, 253, 100, 244, 66, 210, 40, 184)(24, 168, 45, 189, 75, 219, 113, 257, 102, 246, 68, 212, 41, 185, 67, 211, 101, 245, 116, 260, 78, 222, 46, 190)(32, 176, 53, 197, 80, 224, 115, 259, 137, 281, 133, 277, 95, 239, 122, 266, 142, 286, 128, 272, 90, 234, 57, 201)(35, 179, 52, 196, 81, 225, 114, 258, 138, 282, 126, 270, 88, 232, 123, 267, 141, 285, 131, 275, 93, 237, 60, 204)(56, 200, 89, 233, 127, 271, 139, 283, 119, 263, 84, 228, 61, 205, 94, 238, 132, 276, 140, 284, 118, 262, 85, 229)(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, 323)(19, 322)(20, 321)(21, 298)(22, 329)(23, 332)(24, 299)(25, 336)(26, 337)(27, 340)(28, 301)(29, 302)(30, 341)(31, 344)(32, 303)(33, 308)(34, 307)(35, 306)(36, 349)(37, 348)(38, 345)(39, 346)(40, 347)(41, 310)(42, 357)(43, 360)(44, 311)(45, 364)(46, 365)(47, 368)(48, 313)(49, 314)(50, 369)(51, 372)(52, 315)(53, 318)(54, 373)(55, 376)(56, 319)(57, 326)(58, 327)(59, 328)(60, 325)(61, 324)(62, 383)(63, 382)(64, 377)(65, 378)(66, 381)(67, 380)(68, 379)(69, 330)(70, 393)(71, 394)(72, 331)(73, 398)(74, 399)(75, 402)(76, 333)(77, 334)(78, 403)(79, 406)(80, 335)(81, 338)(82, 407)(83, 410)(84, 339)(85, 342)(86, 411)(87, 413)(88, 343)(89, 352)(90, 353)(91, 356)(92, 355)(93, 354)(94, 351)(95, 350)(96, 422)(97, 421)(98, 414)(99, 415)(100, 420)(101, 419)(102, 416)(103, 417)(104, 418)(105, 358)(106, 359)(107, 423)(108, 424)(109, 425)(110, 361)(111, 362)(112, 426)(113, 427)(114, 363)(115, 366)(116, 428)(117, 429)(118, 367)(119, 370)(120, 430)(121, 431)(122, 371)(123, 374)(124, 432)(125, 375)(126, 386)(127, 387)(128, 390)(129, 391)(130, 392)(131, 389)(132, 388)(133, 385)(134, 384)(135, 395)(136, 396)(137, 397)(138, 400)(139, 401)(140, 404)(141, 405)(142, 408)(143, 409)(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, 8 ), ( 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 E13.1601
Graph:: simple bipartite
	v = 156 e = 288 f = 108
	degree seq :: [ 2^144, 24^12 ]

E13.1605 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 12})
Quotient :: dipole
Aut^+ = (C2 x ((C3 x C3) : C4)) : C2 (small group id <144, 115>)
Aut   = $<288, 889>$ (small group id <288, 889>)
|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^-1 * Y1 * Y2 * Y1)^2, Y2^12, Y2^2 * Y1 * Y2^2 * Y1 * Y2^-2 * Y1 * Y2^-2 * Y1, (Y2^-6 * Y1)^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, 28, 172)(16, 160, 24, 168)(18, 162, 35, 179)(19, 163, 27, 171)(20, 164, 23, 167)(22, 166, 41, 185)(26, 170, 47, 191)(30, 174, 53, 197)(31, 175, 51, 195)(32, 176, 45, 189)(33, 177, 44, 188)(34, 178, 50, 194)(36, 180, 61, 205)(37, 181, 52, 196)(38, 182, 46, 190)(39, 183, 43, 187)(40, 184, 49, 193)(42, 186, 69, 213)(48, 192, 77, 221)(54, 198, 85, 229)(55, 199, 84, 228)(56, 200, 76, 220)(57, 201, 73, 217)(58, 202, 81, 225)(59, 203, 80, 224)(60, 204, 72, 216)(62, 206, 95, 239)(63, 207, 83, 227)(64, 208, 75, 219)(65, 209, 74, 218)(66, 210, 82, 226)(67, 211, 79, 223)(68, 212, 71, 215)(70, 214, 105, 249)(78, 222, 114, 258)(86, 230, 124, 268)(87, 231, 122, 266)(88, 232, 112, 256)(89, 233, 111, 255)(90, 234, 121, 265)(91, 235, 118, 262)(92, 236, 108, 252)(93, 237, 107, 251)(94, 238, 117, 261)(96, 240, 115, 259)(97, 241, 123, 267)(98, 242, 113, 257)(99, 243, 110, 254)(100, 244, 120, 264)(101, 245, 119, 263)(102, 246, 109, 253)(103, 247, 106, 250)(104, 248, 116, 260)(125, 269, 135, 279)(126, 270, 144, 288)(127, 271, 141, 285)(128, 272, 138, 282)(129, 273, 139, 283)(130, 274, 140, 284)(131, 275, 137, 281)(132, 276, 142, 286)(133, 277, 143, 287)(134, 278, 136, 280)(289, 433, 291, 435, 296, 440, 306, 450, 324, 468, 350, 494, 384, 528, 358, 502, 330, 474, 310, 454, 298, 442, 292, 436)(290, 434, 293, 437, 300, 444, 314, 458, 336, 480, 366, 510, 403, 547, 374, 518, 342, 486, 318, 462, 302, 446, 294, 438)(295, 439, 303, 447, 319, 463, 343, 487, 375, 519, 413, 557, 393, 537, 414, 558, 376, 520, 344, 488, 320, 464, 304, 448)(297, 441, 307, 451, 325, 469, 351, 495, 385, 529, 422, 566, 383, 527, 421, 565, 386, 530, 352, 496, 326, 470, 308, 452)(299, 443, 311, 455, 331, 475, 359, 503, 394, 538, 423, 567, 412, 556, 424, 568, 395, 539, 360, 504, 332, 476, 312, 456)(301, 445, 315, 459, 337, 481, 367, 511, 404, 548, 432, 576, 402, 546, 431, 575, 405, 549, 368, 512, 338, 482, 316, 460)(305, 449, 321, 465, 345, 489, 377, 521, 415, 559, 392, 536, 357, 501, 391, 535, 416, 560, 378, 522, 346, 490, 322, 466)(309, 453, 327, 471, 353, 497, 387, 531, 420, 564, 382, 526, 349, 493, 381, 525, 419, 563, 388, 532, 354, 498, 328, 472)(313, 457, 333, 477, 361, 505, 396, 540, 425, 569, 411, 555, 373, 517, 410, 554, 426, 570, 397, 541, 362, 506, 334, 478)(317, 461, 339, 483, 369, 513, 406, 550, 430, 574, 401, 545, 365, 509, 400, 544, 429, 573, 407, 551, 370, 514, 340, 484)(323, 467, 347, 491, 379, 523, 417, 561, 390, 534, 356, 500, 329, 473, 355, 499, 389, 533, 418, 562, 380, 524, 348, 492)(335, 479, 363, 507, 398, 542, 427, 571, 409, 553, 372, 516, 341, 485, 371, 515, 408, 552, 428, 572, 399, 543, 364, 508)
	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, 316)(16, 312)(17, 296)(18, 323)(19, 315)(20, 311)(21, 298)(22, 329)(23, 308)(24, 304)(25, 300)(26, 335)(27, 307)(28, 303)(29, 302)(30, 341)(31, 339)(32, 333)(33, 332)(34, 338)(35, 306)(36, 349)(37, 340)(38, 334)(39, 331)(40, 337)(41, 310)(42, 357)(43, 327)(44, 321)(45, 320)(46, 326)(47, 314)(48, 365)(49, 328)(50, 322)(51, 319)(52, 325)(53, 318)(54, 373)(55, 372)(56, 364)(57, 361)(58, 369)(59, 368)(60, 360)(61, 324)(62, 383)(63, 371)(64, 363)(65, 362)(66, 370)(67, 367)(68, 359)(69, 330)(70, 393)(71, 356)(72, 348)(73, 345)(74, 353)(75, 352)(76, 344)(77, 336)(78, 402)(79, 355)(80, 347)(81, 346)(82, 354)(83, 351)(84, 343)(85, 342)(86, 412)(87, 410)(88, 400)(89, 399)(90, 409)(91, 406)(92, 396)(93, 395)(94, 405)(95, 350)(96, 403)(97, 411)(98, 401)(99, 398)(100, 408)(101, 407)(102, 397)(103, 394)(104, 404)(105, 358)(106, 391)(107, 381)(108, 380)(109, 390)(110, 387)(111, 377)(112, 376)(113, 386)(114, 366)(115, 384)(116, 392)(117, 382)(118, 379)(119, 389)(120, 388)(121, 378)(122, 375)(123, 385)(124, 374)(125, 423)(126, 432)(127, 429)(128, 426)(129, 427)(130, 428)(131, 425)(132, 430)(133, 431)(134, 424)(135, 413)(136, 422)(137, 419)(138, 416)(139, 417)(140, 418)(141, 415)(142, 420)(143, 421)(144, 414)(145, 433)(146, 434)(147, 435)(148, 436)(149, 437)(150, 438)(151, 439)(152, 440)(153, 441)(154, 442)(155, 443)(156, 444)(157, 445)(158, 446)(159, 447)(160, 448)(161, 449)(162, 450)(163, 451)(164, 452)(165, 453)(166, 454)(167, 455)(168, 456)(169, 457)(170, 458)(171, 459)(172, 460)(173, 461)(174, 462)(175, 463)(176, 464)(177, 465)(178, 466)(179, 467)(180, 468)(181, 469)(182, 470)(183, 471)(184, 472)(185, 473)(186, 474)(187, 475)(188, 476)(189, 477)(190, 478)(191, 479)(192, 480)(193, 481)(194, 482)(195, 483)(196, 484)(197, 485)(198, 486)(199, 487)(200, 488)(201, 489)(202, 490)(203, 491)(204, 492)(205, 493)(206, 494)(207, 495)(208, 496)(209, 497)(210, 498)(211, 499)(212, 500)(213, 501)(214, 502)(215, 503)(216, 504)(217, 505)(218, 506)(219, 507)(220, 508)(221, 509)(222, 510)(223, 511)(224, 512)(225, 513)(226, 514)(227, 515)(228, 516)(229, 517)(230, 518)(231, 519)(232, 520)(233, 521)(234, 522)(235, 523)(236, 524)(237, 525)(238, 526)(239, 527)(240, 528)(241, 529)(242, 530)(243, 531)(244, 532)(245, 533)(246, 534)(247, 535)(248, 536)(249, 537)(250, 538)(251, 539)(252, 540)(253, 541)(254, 542)(255, 543)(256, 544)(257, 545)(258, 546)(259, 547)(260, 548)(261, 549)(262, 550)(263, 551)(264, 552)(265, 553)(266, 554)(267, 555)(268, 556)(269, 557)(270, 558)(271, 559)(272, 560)(273, 561)(274, 562)(275, 563)(276, 564)(277, 565)(278, 566)(279, 567)(280, 568)(281, 569)(282, 570)(283, 571)(284, 572)(285, 573)(286, 574)(287, 575)(288, 576)
	local type(s) :: { ( 2, 8, 2, 8 ), ( 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8 ) }
Outer automorphisms :: reflexible
Dual of E13.1606
Graph:: bipartite
	v = 84 e = 288 f = 180
	degree seq :: [ 4^72, 24^12 ]

E13.1606 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 12})
Quotient :: dipole
Aut^+ = (C2 x ((C3 x C3) : C4)) : C2 (small group id <144, 115>)
Aut   = $<288, 889>$ (small group id <288, 889>)
|r| :: 2
Presentation :: [ Y2, R^2, Y1^4, (Y1 * Y3)^2, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y3^-2 * Y1^-1 * Y3 * Y1 * Y3^-1 * Y1^-2, (Y3^5 * Y1^-1)^2, (Y3 * Y2^-1)^12 ]
Map:: polytopal
	R = (1, 145, 2, 146, 6, 150, 4, 148)(3, 147, 9, 153, 21, 165, 11, 155)(5, 149, 13, 157, 18, 162, 7, 151)(8, 152, 19, 163, 34, 178, 15, 159)(10, 154, 23, 167, 36, 180, 25, 169)(12, 156, 16, 160, 35, 179, 28, 172)(14, 158, 31, 175, 33, 177, 29, 173)(17, 161, 37, 181, 22, 166, 39, 183)(20, 164, 43, 187, 27, 171, 41, 185)(24, 168, 47, 191, 78, 222, 49, 193)(26, 170, 45, 189, 77, 221, 52, 196)(30, 174, 55, 199, 70, 214, 40, 184)(32, 176, 59, 203, 69, 213, 57, 201)(38, 182, 65, 209, 56, 200, 67, 211)(42, 186, 71, 215, 100, 244, 62, 206)(44, 188, 75, 219, 99, 243, 73, 217)(46, 190, 79, 223, 51, 195, 68, 212)(48, 192, 81, 225, 104, 248, 83, 227)(50, 194, 64, 208, 103, 247, 86, 230)(53, 197, 74, 218, 102, 246, 90, 234)(54, 198, 63, 207, 101, 245, 85, 229)(58, 202, 72, 216, 98, 242, 61, 205)(60, 204, 95, 239, 97, 241, 93, 237)(66, 210, 105, 249, 80, 224, 107, 251)(76, 220, 115, 259, 89, 233, 113, 257)(82, 226, 121, 265, 142, 286, 116, 260)(84, 228, 118, 262, 132, 276, 114, 258)(87, 231, 119, 263, 131, 275, 112, 256)(88, 232, 117, 261, 133, 277, 111, 255)(91, 235, 124, 268, 134, 278, 110, 254)(92, 236, 125, 269, 136, 280, 108, 252)(94, 238, 128, 272, 135, 279, 109, 253)(96, 240, 127, 271, 141, 285, 129, 273)(106, 250, 138, 282, 123, 267, 137, 281)(120, 264, 130, 274, 126, 270, 140, 284)(122, 266, 139, 283, 144, 288, 143, 287)(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, 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, 325)(22, 297)(23, 299)(24, 336)(25, 338)(26, 339)(27, 341)(28, 342)(29, 322)(30, 301)(31, 345)(32, 302)(33, 349)(34, 350)(35, 311)(36, 304)(37, 306)(38, 354)(39, 356)(40, 357)(41, 316)(42, 307)(43, 361)(44, 308)(45, 309)(46, 310)(47, 313)(48, 370)(49, 372)(50, 373)(51, 375)(52, 376)(53, 377)(54, 374)(55, 353)(56, 318)(57, 358)(58, 319)(59, 381)(60, 320)(61, 385)(62, 387)(63, 323)(64, 324)(65, 327)(66, 394)(67, 396)(68, 340)(69, 397)(70, 398)(71, 346)(72, 330)(73, 388)(74, 331)(75, 401)(76, 332)(77, 335)(78, 333)(79, 393)(80, 334)(81, 337)(82, 410)(83, 411)(84, 399)(85, 412)(86, 413)(87, 414)(88, 402)(89, 415)(90, 416)(91, 343)(92, 344)(93, 386)(94, 347)(95, 417)(96, 348)(97, 418)(98, 419)(99, 420)(100, 421)(101, 362)(102, 351)(103, 369)(104, 352)(105, 355)(106, 427)(107, 428)(108, 422)(109, 429)(110, 424)(111, 359)(112, 360)(113, 378)(114, 363)(115, 430)(116, 364)(117, 365)(118, 366)(119, 367)(120, 368)(121, 371)(122, 384)(123, 380)(124, 382)(125, 426)(126, 383)(127, 431)(128, 379)(129, 423)(130, 432)(131, 405)(132, 409)(133, 407)(134, 389)(135, 390)(136, 391)(137, 392)(138, 395)(139, 404)(140, 400)(141, 403)(142, 406)(143, 408)(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, 24 ), ( 4, 24, 4, 24, 4, 24, 4, 24 ) }
Outer automorphisms :: reflexible
Dual of E13.1605
Graph:: simple bipartite
	v = 180 e = 288 f = 84
	degree seq :: [ 2^144, 8^36 ]

E13.1607 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {3, 3, 5})
Quotient :: edge
Aut^+ = GL(2,4) (small group id <180, 19>)
Aut   = A5 x S3 (small group id <360, 121>)
|r| :: 2
Presentation :: [ F^2, T1^3, (F * T2)^2, (F * T1)^2, T2^5, (T1 * T2)^3, T2 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2 * T1^-1, (T2^2 * T1 * T2^-1 * T1^-1)^2, (T2^-1 * T1 * T2^2 * T1^-1)^2 ]
Map:: polyhedral non-degenerate
	R = (1, 3, 9, 15, 5)(2, 6, 17, 21, 7)(4, 11, 29, 32, 12)(8, 22, 48, 51, 23)(10, 26, 57, 60, 27)(13, 33, 71, 75, 34)(14, 35, 77, 38, 16)(18, 41, 89, 92, 42)(19, 43, 94, 98, 44)(20, 45, 100, 61, 28)(24, 52, 109, 111, 53)(25, 54, 112, 114, 55)(30, 64, 126, 128, 65)(31, 66, 130, 134, 67)(36, 79, 142, 144, 80)(37, 81, 145, 138, 70)(39, 84, 143, 150, 85)(40, 86, 151, 152, 87)(46, 102, 156, 157, 103)(47, 104, 158, 116, 93)(49, 107, 161, 155, 101)(50, 108, 72, 115, 56)(58, 88, 83, 148, 95)(59, 118, 76, 74, 96)(62, 123, 140, 169, 119)(63, 117, 165, 171, 124)(68, 135, 172, 173, 136)(69, 137, 162, 113, 129)(73, 127, 159, 105, 133)(78, 121, 166, 175, 141)(82, 147, 177, 160, 106)(90, 125, 122, 168, 131)(91, 153, 99, 97, 132)(110, 164, 174, 139, 163)(120, 170, 176, 146, 167)(149, 179, 180, 154, 178)(181, 182, 184)(183, 188, 190)(185, 193, 194)(186, 196, 198)(187, 199, 200)(189, 204, 205)(191, 208, 210)(192, 211, 202)(195, 216, 217)(197, 219, 220)(201, 226, 227)(203, 229, 230)(206, 236, 238)(207, 239, 232)(209, 242, 243)(212, 248, 249)(213, 250, 252)(214, 253, 254)(215, 256, 258)(218, 262, 263)(221, 268, 270)(222, 271, 264)(223, 273, 275)(224, 276, 277)(225, 279, 281)(228, 285, 286)(231, 282, 267)(233, 290, 272)(234, 269, 293)(235, 280, 259)(237, 296, 297)(240, 299, 300)(241, 301, 302)(244, 305, 295)(245, 307, 303)(246, 309, 311)(247, 312, 313)(251, 319, 284)(255, 283, 320)(257, 315, 304)(260, 323, 314)(261, 310, 326)(265, 329, 308)(266, 306, 318)(274, 334, 317)(278, 316, 289)(287, 332, 342)(288, 333, 343)(291, 336, 340)(292, 331, 345)(294, 338, 346)(298, 347, 348)(321, 330, 352)(322, 335, 349)(324, 337, 353)(325, 327, 351)(328, 339, 358)(341, 360, 350)(344, 357, 356)(354, 359, 355)
	L = (1, 181)(2, 182)(3, 183)(4, 184)(5, 185)(6, 186)(7, 187)(8, 188)(9, 189)(10, 190)(11, 191)(12, 192)(13, 193)(14, 194)(15, 195)(16, 196)(17, 197)(18, 198)(19, 199)(20, 200)(21, 201)(22, 202)(23, 203)(24, 204)(25, 205)(26, 206)(27, 207)(28, 208)(29, 209)(30, 210)(31, 211)(32, 212)(33, 213)(34, 214)(35, 215)(36, 216)(37, 217)(38, 218)(39, 219)(40, 220)(41, 221)(42, 222)(43, 223)(44, 224)(45, 225)(46, 226)(47, 227)(48, 228)(49, 229)(50, 230)(51, 231)(52, 232)(53, 233)(54, 234)(55, 235)(56, 236)(57, 237)(58, 238)(59, 239)(60, 240)(61, 241)(62, 242)(63, 243)(64, 244)(65, 245)(66, 246)(67, 247)(68, 248)(69, 249)(70, 250)(71, 251)(72, 252)(73, 253)(74, 254)(75, 255)(76, 256)(77, 257)(78, 258)(79, 259)(80, 260)(81, 261)(82, 262)(83, 263)(84, 264)(85, 265)(86, 266)(87, 267)(88, 268)(89, 269)(90, 270)(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) :: { ( 6^3 ), ( 6^5 ) }
Outer automorphisms :: reflexible
Dual of E13.1608
Transitivity :: ET+
Graph:: simple bipartite
	v = 96 e = 180 f = 60
	degree seq :: [ 3^60, 5^36 ]

E13.1608 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {3, 3, 5})
Quotient :: loop
Aut^+ = GL(2,4) (small group id <180, 19>)
Aut   = A5 x S3 (small group id <360, 121>)
|r| :: 2
Presentation :: [ F^2, T1^3, T2^3, (F * T1)^2, (F * T2)^2, T2 * T1^-1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1^-1 * T2 * T1^-1, T2 * T1^-1 * T2 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2 * T1^-1, (T2^-1 * T1^-1)^5, (T2 * T1 * T2^-1 * T1^-1 * T2^-1 * T1^-1)^2, (T1 * T2 * T1^-1 * T2^-1 * T1^-1 * T2^-1)^2 ]
Map:: polyhedral non-degenerate
	R = (1, 181, 3, 183, 5, 185)(2, 182, 6, 186, 7, 187)(4, 184, 10, 190, 11, 191)(8, 188, 18, 198, 19, 199)(9, 189, 20, 200, 21, 201)(12, 192, 26, 206, 27, 207)(13, 193, 28, 208, 29, 209)(14, 194, 30, 210, 31, 211)(15, 195, 32, 212, 33, 213)(16, 196, 34, 214, 35, 215)(17, 197, 36, 216, 37, 217)(22, 202, 46, 226, 47, 227)(23, 203, 48, 228, 49, 229)(24, 204, 50, 230, 51, 231)(25, 205, 52, 232, 53, 233)(38, 218, 78, 258, 79, 259)(39, 219, 80, 260, 81, 261)(40, 220, 82, 262, 73, 253)(41, 221, 83, 263, 84, 264)(42, 222, 85, 265, 75, 255)(43, 223, 86, 266, 67, 247)(44, 224, 87, 267, 71, 251)(45, 225, 88, 268, 89, 269)(54, 234, 104, 284, 105, 285)(55, 235, 95, 275, 106, 286)(56, 236, 99, 279, 72, 252)(57, 237, 92, 272, 107, 287)(58, 238, 108, 288, 109, 289)(59, 239, 94, 274, 110, 290)(60, 240, 111, 291, 112, 292)(61, 241, 113, 293, 62, 242)(63, 243, 114, 294, 115, 295)(64, 244, 116, 296, 100, 280)(65, 245, 117, 297, 118, 298)(66, 246, 119, 299, 102, 282)(68, 248, 120, 300, 98, 278)(69, 249, 121, 301, 122, 302)(70, 250, 123, 303, 124, 304)(74, 254, 125, 305, 126, 306)(76, 256, 127, 307, 128, 308)(77, 257, 129, 309, 90, 270)(91, 271, 140, 320, 141, 321)(93, 273, 137, 317, 131, 311)(96, 276, 142, 322, 143, 323)(97, 277, 144, 324, 145, 325)(101, 281, 146, 326, 136, 316)(103, 283, 147, 327, 148, 328)(130, 310, 162, 342, 139, 319)(132, 312, 163, 343, 150, 330)(133, 313, 149, 329, 164, 344)(134, 314, 165, 345, 160, 340)(135, 315, 166, 346, 158, 338)(138, 318, 167, 347, 153, 333)(151, 331, 170, 350, 172, 352)(152, 332, 168, 348, 173, 353)(154, 334, 159, 339, 174, 354)(155, 335, 175, 355, 171, 351)(156, 336, 176, 356, 169, 349)(157, 337, 177, 357, 161, 341)(178, 358, 180, 360, 179, 359)
	L = (1, 182)(2, 184)(3, 188)(4, 181)(5, 192)(6, 194)(7, 196)(8, 189)(9, 183)(10, 202)(11, 204)(12, 193)(13, 185)(14, 195)(15, 186)(16, 197)(17, 187)(18, 218)(19, 220)(20, 222)(21, 224)(22, 203)(23, 190)(24, 205)(25, 191)(26, 234)(27, 236)(28, 238)(29, 240)(30, 242)(31, 244)(32, 246)(33, 248)(34, 250)(35, 252)(36, 254)(37, 256)(38, 219)(39, 198)(40, 221)(41, 199)(42, 223)(43, 200)(44, 225)(45, 201)(46, 270)(47, 272)(48, 274)(49, 275)(50, 277)(51, 279)(52, 281)(53, 283)(54, 235)(55, 206)(56, 237)(57, 207)(58, 239)(59, 208)(60, 241)(61, 209)(62, 243)(63, 210)(64, 245)(65, 211)(66, 247)(67, 212)(68, 249)(69, 213)(70, 251)(71, 214)(72, 253)(73, 215)(74, 255)(75, 216)(76, 257)(77, 217)(78, 233)(79, 303)(80, 310)(81, 311)(82, 313)(83, 300)(84, 314)(85, 294)(86, 228)(87, 316)(88, 318)(89, 309)(90, 271)(91, 226)(92, 273)(93, 227)(94, 266)(95, 276)(96, 229)(97, 278)(98, 230)(99, 280)(100, 231)(101, 282)(102, 232)(103, 258)(104, 269)(105, 329)(106, 306)(107, 331)(108, 327)(109, 263)(110, 260)(111, 333)(112, 262)(113, 324)(114, 315)(115, 264)(116, 334)(117, 286)(118, 335)(119, 320)(120, 289)(121, 337)(122, 259)(123, 302)(124, 339)(125, 291)(126, 297)(127, 341)(128, 296)(129, 284)(130, 290)(131, 312)(132, 261)(133, 292)(134, 295)(135, 265)(136, 317)(137, 267)(138, 319)(139, 268)(140, 336)(141, 298)(142, 348)(143, 293)(144, 323)(145, 350)(146, 307)(147, 332)(148, 287)(149, 330)(150, 285)(151, 328)(152, 288)(153, 305)(154, 308)(155, 321)(156, 299)(157, 338)(158, 301)(159, 340)(160, 304)(161, 326)(162, 346)(163, 358)(164, 354)(165, 359)(166, 356)(167, 345)(168, 349)(169, 322)(170, 351)(171, 325)(172, 344)(173, 343)(174, 352)(175, 360)(176, 342)(177, 355)(178, 353)(179, 347)(180, 357)
	local type(s) :: { ( 3, 5, 3, 5, 3, 5 ) }
Outer automorphisms :: reflexible
Dual of E13.1607
Transitivity :: ET+ VT+ AT
Graph:: simple
	v = 60 e = 180 f = 96
	degree seq :: [ 6^60 ]

E13.1609 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 3, 5})
Quotient :: dipole
Aut^+ = GL(2,4) (small group id <180, 19>)
Aut   = A5 x S3 (small group id <360, 121>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, Y1^3, (R * Y1)^2, (R * Y3)^2, Y2^5, (Y1 * Y2)^3, (Y3^-1 * Y1^-1)^3, Y2 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2 * Y1^-1, (Y2^-1 * Y1 * Y2^2 * Y1^-1)^2, (Y2^2 * Y1 * Y2^-1 * Y1^-1)^2 ]
Map::
	R = (1, 181, 2, 182, 4, 184)(3, 183, 8, 188, 10, 190)(5, 185, 13, 193, 14, 194)(6, 186, 16, 196, 18, 198)(7, 187, 19, 199, 20, 200)(9, 189, 24, 204, 25, 205)(11, 191, 28, 208, 30, 210)(12, 192, 31, 211, 22, 202)(15, 195, 36, 216, 37, 217)(17, 197, 39, 219, 40, 220)(21, 201, 46, 226, 47, 227)(23, 203, 49, 229, 50, 230)(26, 206, 56, 236, 58, 238)(27, 207, 59, 239, 52, 232)(29, 209, 62, 242, 63, 243)(32, 212, 68, 248, 69, 249)(33, 213, 70, 250, 72, 252)(34, 214, 73, 253, 74, 254)(35, 215, 76, 256, 78, 258)(38, 218, 82, 262, 83, 263)(41, 221, 88, 268, 90, 270)(42, 222, 91, 271, 84, 264)(43, 223, 93, 273, 95, 275)(44, 224, 96, 276, 97, 277)(45, 225, 99, 279, 101, 281)(48, 228, 105, 285, 106, 286)(51, 231, 102, 282, 87, 267)(53, 233, 110, 290, 92, 272)(54, 234, 89, 269, 113, 293)(55, 235, 100, 280, 79, 259)(57, 237, 116, 296, 117, 297)(60, 240, 119, 299, 120, 300)(61, 241, 121, 301, 122, 302)(64, 244, 125, 305, 115, 295)(65, 245, 127, 307, 123, 303)(66, 246, 129, 309, 131, 311)(67, 247, 132, 312, 133, 313)(71, 251, 139, 319, 104, 284)(75, 255, 103, 283, 140, 320)(77, 257, 135, 315, 124, 304)(80, 260, 143, 323, 134, 314)(81, 261, 130, 310, 146, 326)(85, 265, 149, 329, 128, 308)(86, 266, 126, 306, 138, 318)(94, 274, 154, 334, 137, 317)(98, 278, 136, 316, 109, 289)(107, 287, 152, 332, 162, 342)(108, 288, 153, 333, 163, 343)(111, 291, 156, 336, 160, 340)(112, 292, 151, 331, 165, 345)(114, 294, 158, 338, 166, 346)(118, 298, 167, 347, 168, 348)(141, 321, 150, 330, 172, 352)(142, 322, 155, 335, 169, 349)(144, 324, 157, 337, 173, 353)(145, 325, 147, 327, 171, 351)(148, 328, 159, 339, 178, 358)(161, 341, 180, 360, 170, 350)(164, 344, 177, 357, 176, 356)(174, 354, 179, 359, 175, 355)(361, 541, 363, 543, 369, 549, 375, 555, 365, 545)(362, 542, 366, 546, 377, 557, 381, 561, 367, 547)(364, 544, 371, 551, 389, 569, 392, 572, 372, 552)(368, 548, 382, 562, 408, 588, 411, 591, 383, 563)(370, 550, 386, 566, 417, 597, 420, 600, 387, 567)(373, 553, 393, 573, 431, 611, 435, 615, 394, 574)(374, 554, 395, 575, 437, 617, 398, 578, 376, 556)(378, 558, 401, 581, 449, 629, 452, 632, 402, 582)(379, 559, 403, 583, 454, 634, 458, 638, 404, 584)(380, 560, 405, 585, 460, 640, 421, 601, 388, 568)(384, 564, 412, 592, 469, 649, 471, 651, 413, 593)(385, 565, 414, 594, 472, 652, 474, 654, 415, 595)(390, 570, 424, 604, 486, 666, 488, 668, 425, 605)(391, 571, 426, 606, 490, 670, 494, 674, 427, 607)(396, 576, 439, 619, 502, 682, 504, 684, 440, 620)(397, 577, 441, 621, 505, 685, 498, 678, 430, 610)(399, 579, 444, 624, 503, 683, 510, 690, 445, 625)(400, 580, 446, 626, 511, 691, 512, 692, 447, 627)(406, 586, 462, 642, 516, 696, 517, 697, 463, 643)(407, 587, 464, 644, 518, 698, 476, 656, 453, 633)(409, 589, 467, 647, 521, 701, 515, 695, 461, 641)(410, 590, 468, 648, 432, 612, 475, 655, 416, 596)(418, 598, 448, 628, 443, 623, 508, 688, 455, 635)(419, 599, 478, 658, 436, 616, 434, 614, 456, 636)(422, 602, 483, 663, 500, 680, 529, 709, 479, 659)(423, 603, 477, 657, 525, 705, 531, 711, 484, 664)(428, 608, 495, 675, 532, 712, 533, 713, 496, 676)(429, 609, 497, 677, 522, 702, 473, 653, 489, 669)(433, 613, 487, 667, 519, 699, 465, 645, 493, 673)(438, 618, 481, 661, 526, 706, 535, 715, 501, 681)(442, 622, 507, 687, 537, 717, 520, 700, 466, 646)(450, 630, 485, 665, 482, 662, 528, 708, 491, 671)(451, 631, 513, 693, 459, 639, 457, 637, 492, 672)(470, 650, 524, 704, 534, 714, 499, 679, 523, 703)(480, 660, 530, 710, 536, 716, 506, 686, 527, 707)(509, 689, 539, 719, 540, 720, 514, 694, 538, 718)
	L = (1, 363)(2, 366)(3, 369)(4, 371)(5, 361)(6, 377)(7, 362)(8, 382)(9, 375)(10, 386)(11, 389)(12, 364)(13, 393)(14, 395)(15, 365)(16, 374)(17, 381)(18, 401)(19, 403)(20, 405)(21, 367)(22, 408)(23, 368)(24, 412)(25, 414)(26, 417)(27, 370)(28, 380)(29, 392)(30, 424)(31, 426)(32, 372)(33, 431)(34, 373)(35, 437)(36, 439)(37, 441)(38, 376)(39, 444)(40, 446)(41, 449)(42, 378)(43, 454)(44, 379)(45, 460)(46, 462)(47, 464)(48, 411)(49, 467)(50, 468)(51, 383)(52, 469)(53, 384)(54, 472)(55, 385)(56, 410)(57, 420)(58, 448)(59, 478)(60, 387)(61, 388)(62, 483)(63, 477)(64, 486)(65, 390)(66, 490)(67, 391)(68, 495)(69, 497)(70, 397)(71, 435)(72, 475)(73, 487)(74, 456)(75, 394)(76, 434)(77, 398)(78, 481)(79, 502)(80, 396)(81, 505)(82, 507)(83, 508)(84, 503)(85, 399)(86, 511)(87, 400)(88, 443)(89, 452)(90, 485)(91, 513)(92, 402)(93, 407)(94, 458)(95, 418)(96, 419)(97, 492)(98, 404)(99, 457)(100, 421)(101, 409)(102, 516)(103, 406)(104, 518)(105, 493)(106, 442)(107, 521)(108, 432)(109, 471)(110, 524)(111, 413)(112, 474)(113, 489)(114, 415)(115, 416)(116, 453)(117, 525)(118, 436)(119, 422)(120, 530)(121, 526)(122, 528)(123, 500)(124, 423)(125, 482)(126, 488)(127, 519)(128, 425)(129, 429)(130, 494)(131, 450)(132, 451)(133, 433)(134, 427)(135, 532)(136, 428)(137, 522)(138, 430)(139, 523)(140, 529)(141, 438)(142, 504)(143, 510)(144, 440)(145, 498)(146, 527)(147, 537)(148, 455)(149, 539)(150, 445)(151, 512)(152, 447)(153, 459)(154, 538)(155, 461)(156, 517)(157, 463)(158, 476)(159, 465)(160, 466)(161, 515)(162, 473)(163, 470)(164, 534)(165, 531)(166, 535)(167, 480)(168, 491)(169, 479)(170, 536)(171, 484)(172, 533)(173, 496)(174, 499)(175, 501)(176, 506)(177, 520)(178, 509)(179, 540)(180, 514)(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) :: { ( 2, 6, 2, 6, 2, 6 ), ( 2, 6, 2, 6, 2, 6, 2, 6, 2, 6 ) }
Outer automorphisms :: reflexible
Dual of E13.1610
Graph:: bipartite
	v = 96 e = 360 f = 240
	degree seq :: [ 6^60, 10^36 ]

E13.1610 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 3, 5})
Quotient :: dipole
Aut^+ = GL(2,4) (small group id <180, 19>)
Aut   = A5 x S3 (small group id <360, 121>)
|r| :: 2
Presentation :: [ Y1, R^2, Y2^3, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, (Y3 * Y2^-1)^3, Y3 * Y2 * Y3 * Y2^-1 * Y3^-1 * Y2^-1 * Y3^-1 * Y2^-1 * Y3^-1 * Y2^-1, (Y3^-1 * Y2^-1 * Y3 * Y2 * Y3^-1)^2, (Y3 * Y2^-1 * Y3^-2 * Y2)^2, (Y3^-1 * Y1^-1)^5 ]
Map:: polytopal
	R = (1, 181)(2, 182)(3, 183)(4, 184)(5, 185)(6, 186)(7, 187)(8, 188)(9, 189)(10, 190)(11, 191)(12, 192)(13, 193)(14, 194)(15, 195)(16, 196)(17, 197)(18, 198)(19, 199)(20, 200)(21, 201)(22, 202)(23, 203)(24, 204)(25, 205)(26, 206)(27, 207)(28, 208)(29, 209)(30, 210)(31, 211)(32, 212)(33, 213)(34, 214)(35, 215)(36, 216)(37, 217)(38, 218)(39, 219)(40, 220)(41, 221)(42, 222)(43, 223)(44, 224)(45, 225)(46, 226)(47, 227)(48, 228)(49, 229)(50, 230)(51, 231)(52, 232)(53, 233)(54, 234)(55, 235)(56, 236)(57, 237)(58, 238)(59, 239)(60, 240)(61, 241)(62, 242)(63, 243)(64, 244)(65, 245)(66, 246)(67, 247)(68, 248)(69, 249)(70, 250)(71, 251)(72, 252)(73, 253)(74, 254)(75, 255)(76, 256)(77, 257)(78, 258)(79, 259)(80, 260)(81, 261)(82, 262)(83, 263)(84, 264)(85, 265)(86, 266)(87, 267)(88, 268)(89, 269)(90, 270)(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)(361, 541, 362, 542, 364, 544)(363, 543, 368, 548, 370, 550)(365, 545, 373, 553, 374, 554)(366, 546, 376, 556, 378, 558)(367, 547, 379, 559, 380, 560)(369, 549, 384, 564, 385, 565)(371, 551, 387, 567, 389, 569)(372, 552, 390, 570, 391, 571)(375, 555, 396, 576, 397, 577)(377, 557, 400, 580, 401, 581)(381, 561, 406, 586, 407, 587)(382, 562, 408, 588, 410, 590)(383, 563, 411, 591, 412, 592)(386, 566, 417, 597, 418, 598)(388, 568, 422, 602, 423, 603)(392, 572, 428, 608, 429, 609)(393, 573, 430, 610, 432, 612)(394, 574, 433, 613, 435, 615)(395, 575, 436, 616, 437, 617)(398, 578, 442, 622, 444, 624)(399, 579, 445, 625, 446, 626)(402, 582, 451, 631, 452, 632)(403, 583, 454, 634, 455, 635)(404, 584, 456, 636, 458, 638)(405, 585, 459, 639, 460, 640)(409, 589, 448, 628, 467, 647)(413, 593, 471, 651, 450, 630)(414, 594, 472, 652, 474, 654)(415, 595, 440, 620, 453, 633)(416, 596, 476, 656, 477, 657)(419, 599, 482, 662, 483, 663)(420, 600, 484, 664, 465, 645)(421, 601, 485, 665, 486, 666)(424, 604, 489, 669, 490, 670)(425, 605, 481, 661, 491, 671)(426, 606, 466, 646, 493, 673)(427, 607, 494, 674, 470, 650)(431, 611, 449, 629, 463, 643)(434, 614, 496, 676, 499, 679)(438, 618, 501, 681, 497, 677)(439, 619, 502, 682, 457, 637)(441, 621, 461, 641, 505, 685)(443, 623, 487, 667, 500, 680)(447, 627, 508, 688, 488, 668)(462, 642, 515, 695, 492, 672)(464, 644, 495, 675, 468, 648)(469, 649, 512, 692, 521, 701)(473, 653, 509, 689, 523, 703)(475, 655, 513, 693, 520, 700)(478, 658, 514, 694, 526, 706)(479, 659, 525, 705, 527, 707)(480, 660, 516, 696, 529, 709)(498, 678, 517, 697, 531, 711)(503, 683, 510, 690, 532, 712)(504, 684, 511, 691, 530, 710)(506, 686, 518, 698, 533, 713)(507, 687, 519, 699, 537, 717)(522, 702, 540, 720, 528, 708)(524, 704, 536, 716, 539, 719)(534, 714, 538, 718, 535, 715)
	L = (1, 363)(2, 366)(3, 369)(4, 371)(5, 361)(6, 377)(7, 362)(8, 382)(9, 375)(10, 379)(11, 388)(12, 364)(13, 393)(14, 394)(15, 365)(16, 398)(17, 381)(18, 390)(19, 403)(20, 404)(21, 367)(22, 409)(23, 368)(24, 414)(25, 411)(26, 370)(27, 420)(28, 392)(29, 373)(30, 425)(31, 426)(32, 372)(33, 431)(34, 434)(35, 374)(36, 439)(37, 440)(38, 443)(39, 376)(40, 448)(41, 445)(42, 378)(43, 419)(44, 457)(45, 380)(46, 462)(47, 463)(48, 465)(49, 413)(50, 417)(51, 468)(52, 469)(53, 383)(54, 473)(55, 384)(56, 385)(57, 479)(58, 480)(59, 386)(60, 474)(61, 387)(62, 487)(63, 485)(64, 389)(65, 453)(66, 492)(67, 391)(68, 496)(69, 483)(70, 452)(71, 424)(72, 436)(73, 442)(74, 438)(75, 396)(76, 470)(77, 446)(78, 395)(79, 503)(80, 504)(81, 397)(82, 410)(83, 447)(84, 451)(85, 501)(86, 507)(87, 399)(88, 509)(89, 400)(90, 401)(91, 512)(92, 513)(93, 402)(94, 490)(95, 459)(96, 484)(97, 461)(98, 406)(99, 437)(100, 486)(101, 405)(102, 516)(103, 517)(104, 407)(105, 489)(106, 408)(107, 493)(108, 478)(109, 432)(110, 412)(111, 522)(112, 458)(113, 475)(114, 476)(115, 415)(116, 421)(117, 524)(118, 416)(119, 433)(120, 528)(121, 418)(122, 422)(123, 526)(124, 444)(125, 505)(126, 527)(127, 523)(128, 423)(129, 519)(130, 532)(131, 494)(132, 495)(133, 428)(134, 460)(135, 427)(136, 520)(137, 429)(138, 430)(139, 525)(140, 435)(141, 511)(142, 521)(143, 500)(144, 506)(145, 531)(146, 441)(147, 455)(148, 538)(149, 510)(150, 449)(151, 450)(152, 456)(153, 534)(154, 454)(155, 537)(156, 472)(157, 518)(158, 464)(159, 466)(160, 467)(161, 471)(162, 536)(163, 529)(164, 535)(165, 477)(166, 533)(167, 491)(168, 530)(169, 482)(170, 481)(171, 488)(172, 539)(173, 497)(174, 498)(175, 499)(176, 502)(177, 508)(178, 540)(179, 514)(180, 515)(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) :: { ( 6, 10 ), ( 6, 10, 6, 10, 6, 10 ) }
Outer automorphisms :: reflexible
Dual of E13.1609
Graph:: simple bipartite
	v = 240 e = 360 f = 96
	degree seq :: [ 2^180, 6^60 ]

E13.1611 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 3, 12})
Quotient :: regular
Aut^+ = A4 x S4 (small group id <288, 1024>)
Aut   = $<576, 8653>$ (small group id <576, 8653>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, (T1^-1 * T2)^3, (T1^-2 * T2 * T1^2 * T2)^2, T1^12 ]
Map:: polyhedral non-degenerate
	R = (1, 2, 5, 11, 21, 37, 63, 62, 36, 20, 10, 4)(3, 7, 15, 27, 47, 79, 123, 90, 54, 31, 17, 8)(6, 13, 25, 43, 73, 115, 168, 122, 78, 46, 26, 14)(9, 18, 32, 55, 91, 137, 185, 131, 85, 51, 29, 16)(12, 23, 41, 69, 110, 162, 222, 167, 114, 72, 42, 24)(19, 34, 58, 95, 142, 197, 251, 196, 141, 94, 57, 33)(22, 39, 67, 106, 157, 216, 268, 221, 161, 109, 68, 40)(28, 49, 83, 128, 181, 241, 257, 209, 159, 107, 71, 50)(30, 52, 86, 132, 186, 244, 258, 213, 154, 108, 75, 44)(35, 60, 97, 144, 200, 253, 272, 223, 199, 143, 96, 59)(38, 65, 104, 153, 211, 184, 242, 267, 215, 156, 105, 66)(45, 76, 56, 93, 140, 195, 250, 261, 208, 155, 112, 70)(48, 81, 113, 165, 212, 264, 284, 279, 240, 180, 127, 82)(53, 88, 111, 164, 214, 265, 283, 280, 246, 187, 133, 87)(61, 99, 146, 202, 254, 270, 230, 169, 229, 201, 145, 98)(64, 102, 151, 207, 189, 136, 190, 247, 263, 210, 152, 103)(74, 117, 160, 219, 260, 285, 278, 238, 182, 129, 84, 118)(77, 120, 158, 218, 262, 286, 282, 245, 194, 139, 92, 119)(80, 125, 178, 217, 172, 121, 173, 232, 266, 239, 179, 126)(89, 135, 188, 220, 269, 249, 193, 138, 192, 224, 163, 134)(100, 148, 204, 255, 274, 227, 177, 124, 176, 237, 203, 147)(101, 149, 205, 256, 233, 174, 234, 191, 248, 259, 206, 150)(116, 170, 130, 183, 225, 166, 226, 273, 252, 198, 231, 171)(175, 235, 271, 288, 281, 243, 276, 228, 275, 287, 277, 236)
	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, 84)(52, 87)(54, 89)(55, 92)(57, 93)(58, 86)(60, 98)(62, 100)(63, 101)(66, 102)(67, 107)(68, 108)(69, 111)(72, 113)(73, 116)(75, 117)(76, 119)(78, 121)(79, 124)(82, 125)(83, 129)(85, 130)(88, 134)(90, 136)(91, 138)(94, 127)(95, 133)(96, 132)(97, 128)(99, 147)(103, 149)(104, 154)(105, 155)(106, 158)(109, 160)(110, 163)(112, 164)(114, 166)(115, 169)(118, 170)(120, 172)(122, 174)(123, 175)(126, 176)(131, 184)(135, 189)(137, 191)(139, 192)(140, 180)(141, 178)(142, 198)(143, 194)(144, 182)(145, 181)(146, 195)(148, 150)(151, 208)(152, 209)(153, 212)(156, 214)(157, 217)(159, 218)(161, 220)(162, 223)(165, 225)(167, 227)(168, 228)(171, 229)(173, 233)(177, 235)(179, 238)(183, 211)(185, 243)(186, 245)(187, 231)(188, 219)(190, 236)(193, 248)(196, 216)(197, 247)(199, 224)(200, 239)(201, 246)(202, 240)(203, 250)(204, 244)(205, 257)(206, 258)(207, 260)(210, 262)(213, 264)(215, 266)(221, 270)(222, 271)(226, 274)(230, 275)(232, 265)(234, 276)(237, 278)(241, 280)(242, 281)(249, 279)(251, 277)(252, 263)(253, 267)(254, 269)(255, 282)(256, 283)(259, 284)(261, 285)(268, 287)(272, 288)(273, 286)
	local type(s) :: { ( 3^12 ) }
Outer automorphisms :: reflexible
Dual of E13.1612
Transitivity :: ET+ VT+ AT+ REG+
Graph:: simple
	v = 24 e = 144 f = 96
	degree seq :: [ 12^24 ]

E13.1612 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 3, 12})
Quotient :: regular
Aut^+ = A4 x S4 (small group id <288, 1024>)
Aut   = $<576, 8653>$ (small group id <576, 8653>)
|r| :: 2
Presentation :: [ T2^2, F^2, T1^3, (F * T1)^2, (F * T2)^2, (T2 * T1 * T2 * T1 * T2 * T1^-1 * T2 * T1^-1)^2, (T1^-1 * T2)^12, (T2 * T1 * T2 * T1^-1)^6, T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1^-1 * T2 * T1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1 * T2 * T1^-1 ]
Map:: polyhedral non-degenerate
	R = (1, 2, 4)(3, 6, 7)(5, 9, 10)(8, 13, 14)(11, 17, 18)(12, 19, 20)(15, 23, 24)(16, 25, 26)(21, 31, 32)(22, 33, 34)(27, 39, 40)(28, 41, 42)(29, 43, 44)(30, 45, 46)(35, 51, 52)(36, 53, 54)(37, 55, 56)(38, 57, 58)(47, 67, 68)(48, 69, 70)(49, 71, 72)(50, 73, 74)(59, 83, 84)(60, 85, 78)(61, 86, 87)(62, 88, 89)(63, 90, 81)(64, 91, 92)(65, 93, 94)(66, 95, 96)(75, 103, 104)(76, 105, 99)(77, 106, 107)(79, 108, 101)(80, 109, 110)(82, 111, 112)(97, 125, 126)(98, 127, 128)(100, 129, 130)(102, 131, 132)(113, 143, 144)(114, 145, 121)(115, 146, 147)(116, 148, 123)(117, 149, 150)(118, 151, 152)(119, 153, 154)(120, 155, 156)(122, 157, 158)(124, 159, 160)(133, 169, 170)(134, 171, 140)(135, 172, 173)(136, 174, 141)(137, 175, 176)(138, 177, 178)(139, 179, 180)(142, 181, 182)(161, 201, 202)(162, 203, 166)(163, 204, 167)(164, 205, 206)(165, 207, 208)(168, 209, 210)(183, 225, 226)(184, 227, 190)(185, 216, 228)(186, 214, 191)(187, 229, 230)(188, 231, 232)(189, 233, 222)(192, 234, 235)(193, 236, 237)(194, 220, 198)(195, 238, 199)(196, 239, 240)(197, 241, 242)(200, 243, 211)(212, 251, 218)(213, 246, 252)(215, 253, 254)(217, 255, 249)(219, 256, 257)(221, 258, 223)(224, 259, 244)(245, 276, 247)(248, 277, 250)(260, 283, 264)(261, 271, 279)(262, 287, 288)(263, 282, 274)(265, 278, 285)(266, 284, 267)(268, 286, 269)(270, 280, 272)(273, 281, 275)
	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, 97)(68, 88)(69, 98)(70, 99)(71, 93)(72, 100)(73, 101)(74, 102)(83, 113)(84, 114)(85, 115)(86, 116)(87, 117)(89, 118)(90, 119)(91, 120)(92, 121)(94, 122)(95, 123)(96, 124)(103, 133)(104, 134)(105, 135)(106, 136)(107, 137)(108, 138)(109, 139)(110, 140)(111, 141)(112, 142)(125, 161)(126, 162)(127, 163)(128, 164)(129, 165)(130, 166)(131, 167)(132, 168)(143, 183)(144, 184)(145, 185)(146, 186)(147, 187)(148, 188)(149, 189)(150, 190)(151, 191)(152, 192)(153, 193)(154, 194)(155, 195)(156, 196)(157, 197)(158, 198)(159, 199)(160, 200)(169, 211)(170, 212)(171, 213)(172, 214)(173, 215)(174, 216)(175, 217)(176, 218)(177, 219)(178, 220)(179, 221)(180, 222)(181, 223)(182, 224)(201, 244)(202, 245)(203, 232)(204, 246)(205, 239)(206, 247)(207, 248)(208, 249)(209, 250)(210, 225)(226, 260)(227, 261)(228, 262)(229, 263)(230, 264)(231, 265)(233, 266)(234, 267)(235, 268)(236, 269)(237, 270)(238, 271)(240, 272)(241, 273)(242, 274)(243, 275)(251, 278)(252, 279)(253, 280)(254, 281)(255, 282)(256, 283)(257, 284)(258, 285)(259, 286)(276, 287)(277, 288)
	local type(s) :: { ( 12^3 ) }
Outer automorphisms :: reflexible
Dual of E13.1611
Transitivity :: ET+ VT+ AT+ REG+
Graph:: simple bipartite
	v = 96 e = 144 f = 24
	degree seq :: [ 3^96 ]

E13.1613 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 3, 12})
Quotient :: edge
Aut^+ = A4 x S4 (small group id <288, 1024>)
Aut   = $<576, 8653>$ (small group id <576, 8653>)
|r| :: 2
Presentation :: [ T1^2, F^2, T2^3, (F * T1)^2, (F * T2)^2, (T1 * T2 * T1 * T2 * T1 * T2^-1 * T1 * T2^-1)^2, (T1 * T2 * T1 * T2^-1)^6, (T2^-1 * T1)^12 ]
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, 115, 116)(92, 117, 99)(93, 118, 119)(94, 120, 101)(95, 121, 122)(96, 123, 124)(97, 125, 126)(98, 127, 128)(100, 129, 130)(102, 131, 132)(103, 133, 134)(104, 135, 111)(105, 136, 137)(106, 138, 113)(107, 139, 140)(108, 141, 142)(109, 143, 144)(110, 145, 146)(112, 147, 148)(114, 149, 150)(151, 187, 188)(152, 189, 158)(153, 190, 191)(154, 192, 159)(155, 193, 194)(156, 195, 196)(157, 197, 198)(160, 199, 200)(161, 201, 202)(162, 203, 166)(163, 204, 167)(164, 205, 206)(165, 207, 208)(168, 209, 210)(169, 211, 212)(170, 213, 176)(171, 214, 215)(172, 216, 177)(173, 217, 218)(174, 219, 220)(175, 221, 222)(178, 223, 224)(179, 225, 226)(180, 227, 184)(181, 228, 185)(182, 229, 230)(183, 231, 232)(186, 233, 234)(235, 267, 239)(236, 246, 268)(237, 269, 270)(238, 271, 249)(240, 272, 273)(241, 274, 242)(243, 275, 244)(245, 276, 247)(248, 277, 250)(251, 278, 255)(252, 262, 279)(253, 280, 281)(254, 282, 265)(256, 283, 284)(257, 285, 258)(259, 286, 260)(261, 287, 263)(264, 288, 266)(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, 333)(318, 334)(319, 335)(320, 336)(321, 337)(322, 338)(323, 339)(324, 340)(325, 341)(326, 342)(327, 343)(328, 344)(329, 345)(330, 346)(347, 379)(348, 380)(349, 381)(350, 366)(351, 382)(352, 383)(353, 372)(354, 384)(355, 385)(356, 369)(357, 386)(358, 387)(359, 375)(360, 388)(361, 389)(362, 390)(363, 391)(364, 392)(365, 393)(367, 394)(368, 395)(370, 396)(371, 397)(373, 398)(374, 399)(376, 400)(377, 401)(378, 402)(403, 439)(404, 440)(405, 441)(406, 442)(407, 443)(408, 444)(409, 445)(410, 446)(411, 447)(412, 448)(413, 449)(414, 450)(415, 451)(416, 452)(417, 453)(418, 454)(419, 455)(420, 456)(421, 457)(422, 458)(423, 459)(424, 460)(425, 461)(426, 462)(427, 463)(428, 464)(429, 465)(430, 466)(431, 467)(432, 468)(433, 469)(434, 470)(435, 471)(436, 472)(437, 473)(438, 474)(475, 522)(476, 523)(477, 524)(478, 504)(479, 525)(480, 502)(481, 526)(482, 527)(483, 528)(484, 515)(485, 529)(486, 510)(487, 530)(488, 531)(489, 532)(490, 533)(491, 508)(492, 534)(493, 517)(494, 535)(495, 536)(496, 537)(497, 538)(498, 499)(500, 539)(501, 540)(503, 541)(505, 542)(506, 543)(507, 544)(509, 545)(511, 546)(512, 547)(513, 548)(514, 549)(516, 550)(518, 551)(519, 552)(520, 553)(521, 554)(555, 571)(556, 567)(557, 575)(558, 576)(559, 570)(560, 566)(561, 573)(562, 572)(563, 574)(564, 568)(565, 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) :: { ( 24, 24 ), ( 24^3 ) }
Outer automorphisms :: reflexible
Dual of E13.1617
Transitivity :: ET+
Graph:: simple bipartite
	v = 240 e = 288 f = 24
	degree seq :: [ 2^144, 3^96 ]

E13.1614 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 3, 12})
Quotient :: edge
Aut^+ = A4 x S4 (small group id <288, 1024>)
Aut   = $<576, 8653>$ (small group id <576, 8653>)
|r| :: 2
Presentation :: [ F^2, T1^3, (T1 * T2)^2, (F * T2)^2, (F * T1)^2, T2^2 * T1^-1 * T2^-2 * T1 * T2^3 * T1^-1 * T2 * T1^-1, T2^12, (T2 * T1^-1 * T2^3)^3 ]
Map:: polyhedral non-degenerate
	R = (1, 3, 9, 19, 37, 67, 113, 86, 48, 26, 13, 5)(2, 6, 14, 27, 50, 89, 140, 102, 58, 32, 16, 7)(4, 11, 22, 41, 74, 123, 164, 108, 62, 34, 17, 8)(10, 21, 40, 71, 119, 177, 229, 167, 110, 64, 35, 18)(12, 23, 43, 77, 127, 187, 245, 192, 130, 80, 44, 24)(15, 29, 53, 93, 146, 208, 261, 211, 149, 96, 54, 30)(20, 39, 70, 117, 175, 235, 266, 210, 148, 95, 65, 36)(25, 45, 81, 94, 147, 209, 263, 254, 194, 132, 82, 46)(28, 52, 92, 144, 206, 259, 225, 165, 109, 63, 87, 49)(31, 55, 97, 72, 120, 179, 239, 269, 213, 151, 98, 56)(33, 59, 103, 78, 128, 189, 247, 272, 218, 158, 104, 60)(38, 69, 116, 173, 191, 251, 288, 271, 217, 157, 111, 66)(42, 76, 126, 185, 233, 278, 250, 190, 129, 79, 121, 73)(47, 83, 133, 145, 207, 260, 281, 237, 178, 196, 134, 84)(51, 91, 143, 205, 174, 234, 279, 253, 193, 131, 138, 88)(57, 99, 152, 186, 243, 284, 285, 244, 188, 214, 153, 100)(61, 105, 159, 118, 176, 236, 280, 255, 195, 219, 160, 106)(68, 115, 172, 155, 101, 154, 215, 264, 275, 224, 168, 112)(75, 125, 184, 227, 166, 226, 276, 268, 212, 150, 180, 122)(85, 135, 197, 248, 287, 265, 241, 181, 124, 183, 198, 136)(90, 142, 204, 162, 107, 161, 220, 240, 283, 249, 200, 139)(114, 171, 232, 222, 163, 221, 273, 246, 286, 267, 230, 169)(137, 170, 231, 262, 277, 228, 257, 201, 141, 203, 256, 199)(156, 202, 258, 238, 282, 252, 274, 223, 182, 242, 270, 216)(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, 345, 343)(322, 349, 347)(323, 351, 327)(325, 354, 356)(328, 348, 360)(329, 361, 363)(331, 334, 366)(332, 367, 340)(336, 373, 371)(338, 376, 378)(341, 344, 382)(342, 383, 364)(346, 389, 387)(350, 395, 393)(352, 379, 375)(353, 384, 357)(355, 400, 402)(358, 397, 406)(359, 385, 388)(362, 410, 412)(365, 391, 394)(368, 413, 409)(369, 372, 381)(370, 419, 416)(374, 425, 423)(377, 427, 429)(380, 417, 433)(386, 438, 435)(390, 444, 442)(392, 445, 408)(396, 451, 449)(398, 454, 431)(399, 446, 403)(401, 457, 458)(404, 437, 462)(405, 447, 450)(407, 441, 466)(411, 469, 470)(414, 436, 474)(415, 448, 476)(418, 479, 472)(420, 430, 426)(421, 424, 432)(422, 483, 434)(428, 489, 490)(439, 471, 468)(440, 443, 473)(452, 511, 509)(453, 512, 464)(455, 516, 514)(456, 513, 459)(460, 506, 521)(461, 493, 515)(463, 492, 482)(465, 525, 526)(467, 505, 528)(475, 532, 534)(477, 481, 536)(478, 537, 495)(480, 540, 539)(484, 502, 507)(485, 487, 535)(486, 501, 494)(488, 538, 491)(496, 543, 550)(497, 500, 552)(498, 553, 531)(499, 555, 522)(503, 504, 551)(508, 510, 527)(517, 546, 545)(518, 549, 519)(520, 547, 557)(523, 542, 558)(524, 563, 556)(529, 554, 530)(533, 561, 562)(541, 572, 575)(544, 566, 560)(548, 571, 559)(564, 565, 568)(567, 574, 573)(569, 576, 570)
	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 ), ( 4^12 ) }
Outer automorphisms :: reflexible
Dual of E13.1618
Transitivity :: ET+
Graph:: simple bipartite
	v = 120 e = 288 f = 144
	degree seq :: [ 3^96, 12^24 ]

E13.1615 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 3, 12})
Quotient :: edge
Aut^+ = A4 x S4 (small group id <288, 1024>)
Aut   = $<576, 8653>$ (small group id <576, 8653>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, (T2 * T1^-1)^3, (T1^-2 * T2 * T1^2 * T2)^2, T1^12 ]
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, 84)(52, 87)(54, 89)(55, 92)(57, 93)(58, 86)(60, 98)(62, 100)(63, 101)(66, 102)(67, 107)(68, 108)(69, 111)(72, 113)(73, 116)(75, 117)(76, 119)(78, 121)(79, 124)(82, 125)(83, 129)(85, 130)(88, 134)(90, 136)(91, 138)(94, 127)(95, 133)(96, 132)(97, 128)(99, 147)(103, 149)(104, 154)(105, 155)(106, 158)(109, 160)(110, 163)(112, 164)(114, 166)(115, 169)(118, 170)(120, 172)(122, 174)(123, 175)(126, 176)(131, 184)(135, 189)(137, 191)(139, 192)(140, 180)(141, 178)(142, 198)(143, 194)(144, 182)(145, 181)(146, 195)(148, 150)(151, 208)(152, 209)(153, 212)(156, 214)(157, 217)(159, 218)(161, 220)(162, 223)(165, 225)(167, 227)(168, 228)(171, 229)(173, 233)(177, 235)(179, 238)(183, 211)(185, 243)(186, 245)(187, 231)(188, 219)(190, 236)(193, 248)(196, 216)(197, 247)(199, 224)(200, 239)(201, 246)(202, 240)(203, 250)(204, 244)(205, 257)(206, 258)(207, 260)(210, 262)(213, 264)(215, 266)(221, 270)(222, 271)(226, 274)(230, 275)(232, 265)(234, 276)(237, 278)(241, 280)(242, 281)(249, 279)(251, 277)(252, 263)(253, 267)(254, 269)(255, 282)(256, 283)(259, 284)(261, 285)(268, 287)(272, 288)(273, 286)(289, 290, 293, 299, 309, 325, 351, 350, 324, 308, 298, 292)(291, 295, 303, 315, 335, 367, 411, 378, 342, 319, 305, 296)(294, 301, 313, 331, 361, 403, 456, 410, 366, 334, 314, 302)(297, 306, 320, 343, 379, 425, 473, 419, 373, 339, 317, 304)(300, 311, 329, 357, 398, 450, 510, 455, 402, 360, 330, 312)(307, 322, 346, 383, 430, 485, 539, 484, 429, 382, 345, 321)(310, 327, 355, 394, 445, 504, 556, 509, 449, 397, 356, 328)(316, 337, 371, 416, 469, 529, 545, 497, 447, 395, 359, 338)(318, 340, 374, 420, 474, 532, 546, 501, 442, 396, 363, 332)(323, 348, 385, 432, 488, 541, 560, 511, 487, 431, 384, 347)(326, 353, 392, 441, 499, 472, 530, 555, 503, 444, 393, 354)(333, 364, 344, 381, 428, 483, 538, 549, 496, 443, 400, 358)(336, 369, 401, 453, 500, 552, 572, 567, 528, 468, 415, 370)(341, 376, 399, 452, 502, 553, 571, 568, 534, 475, 421, 375)(349, 387, 434, 490, 542, 558, 518, 457, 517, 489, 433, 386)(352, 390, 439, 495, 477, 424, 478, 535, 551, 498, 440, 391)(362, 405, 448, 507, 548, 573, 566, 526, 470, 417, 372, 406)(365, 408, 446, 506, 550, 574, 570, 533, 482, 427, 380, 407)(368, 413, 466, 505, 460, 409, 461, 520, 554, 527, 467, 414)(377, 423, 476, 508, 557, 537, 481, 426, 480, 512, 451, 422)(388, 436, 492, 543, 562, 515, 465, 412, 464, 525, 491, 435)(389, 437, 493, 544, 521, 462, 522, 479, 536, 547, 494, 438)(404, 458, 418, 471, 513, 454, 514, 561, 540, 486, 519, 459)(463, 523, 559, 576, 569, 531, 564, 516, 563, 575, 565, 524)
	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 ), ( 6^12 ) }
Outer automorphisms :: reflexible
Dual of E13.1616
Transitivity :: ET+
Graph:: simple bipartite
	v = 168 e = 288 f = 96
	degree seq :: [ 2^144, 12^24 ]

E13.1616 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 3, 12})
Quotient :: loop
Aut^+ = A4 x S4 (small group id <288, 1024>)
Aut   = $<576, 8653>$ (small group id <576, 8653>)
|r| :: 2
Presentation :: [ T1^2, F^2, T2^3, (F * T1)^2, (F * T2)^2, (T1 * T2 * T1 * T2 * T1 * T2^-1 * T1 * T2^-1)^2, (T1 * T2 * T1 * T2^-1)^6, (T2^-1 * T1)^12 ]
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, 59, 347, 60, 348)(44, 332, 61, 349, 62, 350)(45, 333, 63, 351, 64, 352)(46, 334, 65, 353, 66, 354)(47, 335, 67, 355, 68, 356)(48, 336, 69, 357, 70, 358)(49, 337, 71, 359, 72, 360)(50, 338, 73, 361, 74, 362)(51, 339, 75, 363, 76, 364)(52, 340, 77, 365, 78, 366)(53, 341, 79, 367, 80, 368)(54, 342, 81, 369, 82, 370)(55, 343, 83, 371, 84, 372)(56, 344, 85, 373, 86, 374)(57, 345, 87, 375, 88, 376)(58, 346, 89, 377, 90, 378)(91, 379, 115, 403, 116, 404)(92, 380, 117, 405, 99, 387)(93, 381, 118, 406, 119, 407)(94, 382, 120, 408, 101, 389)(95, 383, 121, 409, 122, 410)(96, 384, 123, 411, 124, 412)(97, 385, 125, 413, 126, 414)(98, 386, 127, 415, 128, 416)(100, 388, 129, 417, 130, 418)(102, 390, 131, 419, 132, 420)(103, 391, 133, 421, 134, 422)(104, 392, 135, 423, 111, 399)(105, 393, 136, 424, 137, 425)(106, 394, 138, 426, 113, 401)(107, 395, 139, 427, 140, 428)(108, 396, 141, 429, 142, 430)(109, 397, 143, 431, 144, 432)(110, 398, 145, 433, 146, 434)(112, 400, 147, 435, 148, 436)(114, 402, 149, 437, 150, 438)(151, 439, 187, 475, 188, 476)(152, 440, 189, 477, 158, 446)(153, 441, 190, 478, 191, 479)(154, 442, 192, 480, 159, 447)(155, 443, 193, 481, 194, 482)(156, 444, 195, 483, 196, 484)(157, 445, 197, 485, 198, 486)(160, 448, 199, 487, 200, 488)(161, 449, 201, 489, 202, 490)(162, 450, 203, 491, 166, 454)(163, 451, 204, 492, 167, 455)(164, 452, 205, 493, 206, 494)(165, 453, 207, 495, 208, 496)(168, 456, 209, 497, 210, 498)(169, 457, 211, 499, 212, 500)(170, 458, 213, 501, 176, 464)(171, 459, 214, 502, 215, 503)(172, 460, 216, 504, 177, 465)(173, 461, 217, 505, 218, 506)(174, 462, 219, 507, 220, 508)(175, 463, 221, 509, 222, 510)(178, 466, 223, 511, 224, 512)(179, 467, 225, 513, 226, 514)(180, 468, 227, 515, 184, 472)(181, 469, 228, 516, 185, 473)(182, 470, 229, 517, 230, 518)(183, 471, 231, 519, 232, 520)(186, 474, 233, 521, 234, 522)(235, 523, 267, 555, 239, 527)(236, 524, 246, 534, 268, 556)(237, 525, 269, 557, 270, 558)(238, 526, 271, 559, 249, 537)(240, 528, 272, 560, 273, 561)(241, 529, 274, 562, 242, 530)(243, 531, 275, 563, 244, 532)(245, 533, 276, 564, 247, 535)(248, 536, 277, 565, 250, 538)(251, 539, 278, 566, 255, 543)(252, 540, 262, 550, 279, 567)(253, 541, 280, 568, 281, 569)(254, 542, 282, 570, 265, 553)(256, 544, 283, 571, 284, 572)(257, 545, 285, 573, 258, 546)(259, 547, 286, 574, 260, 548)(261, 549, 287, 575, 263, 551)(264, 552, 288, 576, 266, 554)
	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, 333)(30, 334)(31, 335)(32, 336)(33, 337)(34, 338)(35, 339)(36, 340)(37, 341)(38, 342)(39, 343)(40, 344)(41, 345)(42, 346)(43, 315)(44, 316)(45, 317)(46, 318)(47, 319)(48, 320)(49, 321)(50, 322)(51, 323)(52, 324)(53, 325)(54, 326)(55, 327)(56, 328)(57, 329)(58, 330)(59, 379)(60, 380)(61, 381)(62, 366)(63, 382)(64, 383)(65, 372)(66, 384)(67, 385)(68, 369)(69, 386)(70, 387)(71, 375)(72, 388)(73, 389)(74, 390)(75, 391)(76, 392)(77, 393)(78, 350)(79, 394)(80, 395)(81, 356)(82, 396)(83, 397)(84, 353)(85, 398)(86, 399)(87, 359)(88, 400)(89, 401)(90, 402)(91, 347)(92, 348)(93, 349)(94, 351)(95, 352)(96, 354)(97, 355)(98, 357)(99, 358)(100, 360)(101, 361)(102, 362)(103, 363)(104, 364)(105, 365)(106, 367)(107, 368)(108, 370)(109, 371)(110, 373)(111, 374)(112, 376)(113, 377)(114, 378)(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, 455)(132, 456)(133, 457)(134, 458)(135, 459)(136, 460)(137, 461)(138, 462)(139, 463)(140, 464)(141, 465)(142, 466)(143, 467)(144, 468)(145, 469)(146, 470)(147, 471)(148, 472)(149, 473)(150, 474)(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, 522)(188, 523)(189, 524)(190, 504)(191, 525)(192, 502)(193, 526)(194, 527)(195, 528)(196, 515)(197, 529)(198, 510)(199, 530)(200, 531)(201, 532)(202, 533)(203, 508)(204, 534)(205, 517)(206, 535)(207, 536)(208, 537)(209, 538)(210, 499)(211, 498)(212, 539)(213, 540)(214, 480)(215, 541)(216, 478)(217, 542)(218, 543)(219, 544)(220, 491)(221, 545)(222, 486)(223, 546)(224, 547)(225, 548)(226, 549)(227, 484)(228, 550)(229, 493)(230, 551)(231, 552)(232, 553)(233, 554)(234, 475)(235, 476)(236, 477)(237, 479)(238, 481)(239, 482)(240, 483)(241, 485)(242, 487)(243, 488)(244, 489)(245, 490)(246, 492)(247, 494)(248, 495)(249, 496)(250, 497)(251, 500)(252, 501)(253, 503)(254, 505)(255, 506)(256, 507)(257, 509)(258, 511)(259, 512)(260, 513)(261, 514)(262, 516)(263, 518)(264, 519)(265, 520)(266, 521)(267, 571)(268, 567)(269, 575)(270, 576)(271, 570)(272, 566)(273, 573)(274, 572)(275, 574)(276, 568)(277, 569)(278, 560)(279, 556)(280, 564)(281, 565)(282, 559)(283, 555)(284, 562)(285, 561)(286, 563)(287, 557)(288, 558)
	local type(s) :: { ( 2, 12, 2, 12, 2, 12 ) }
Outer automorphisms :: reflexible
Dual of E13.1615
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 96 e = 288 f = 168
	degree seq :: [ 6^96 ]

E13.1617 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 3, 12})
Quotient :: loop
Aut^+ = A4 x S4 (small group id <288, 1024>)
Aut   = $<576, 8653>$ (small group id <576, 8653>)
|r| :: 2
Presentation :: [ F^2, T1^3, (T1 * T2)^2, (F * T2)^2, (F * T1)^2, T2^2 * T1^-1 * T2^-2 * T1 * T2^3 * T1^-1 * T2 * T1^-1, T2^12, (T2 * T1^-1 * T2^3)^3 ]
Map::
	R = (1, 289, 3, 291, 9, 297, 19, 307, 37, 325, 67, 355, 113, 401, 86, 374, 48, 336, 26, 314, 13, 301, 5, 293)(2, 290, 6, 294, 14, 302, 27, 315, 50, 338, 89, 377, 140, 428, 102, 390, 58, 346, 32, 320, 16, 304, 7, 295)(4, 292, 11, 299, 22, 310, 41, 329, 74, 362, 123, 411, 164, 452, 108, 396, 62, 350, 34, 322, 17, 305, 8, 296)(10, 298, 21, 309, 40, 328, 71, 359, 119, 407, 177, 465, 229, 517, 167, 455, 110, 398, 64, 352, 35, 323, 18, 306)(12, 300, 23, 311, 43, 331, 77, 365, 127, 415, 187, 475, 245, 533, 192, 480, 130, 418, 80, 368, 44, 332, 24, 312)(15, 303, 29, 317, 53, 341, 93, 381, 146, 434, 208, 496, 261, 549, 211, 499, 149, 437, 96, 384, 54, 342, 30, 318)(20, 308, 39, 327, 70, 358, 117, 405, 175, 463, 235, 523, 266, 554, 210, 498, 148, 436, 95, 383, 65, 353, 36, 324)(25, 313, 45, 333, 81, 369, 94, 382, 147, 435, 209, 497, 263, 551, 254, 542, 194, 482, 132, 420, 82, 370, 46, 334)(28, 316, 52, 340, 92, 380, 144, 432, 206, 494, 259, 547, 225, 513, 165, 453, 109, 397, 63, 351, 87, 375, 49, 337)(31, 319, 55, 343, 97, 385, 72, 360, 120, 408, 179, 467, 239, 527, 269, 557, 213, 501, 151, 439, 98, 386, 56, 344)(33, 321, 59, 347, 103, 391, 78, 366, 128, 416, 189, 477, 247, 535, 272, 560, 218, 506, 158, 446, 104, 392, 60, 348)(38, 326, 69, 357, 116, 404, 173, 461, 191, 479, 251, 539, 288, 576, 271, 559, 217, 505, 157, 445, 111, 399, 66, 354)(42, 330, 76, 364, 126, 414, 185, 473, 233, 521, 278, 566, 250, 538, 190, 478, 129, 417, 79, 367, 121, 409, 73, 361)(47, 335, 83, 371, 133, 421, 145, 433, 207, 495, 260, 548, 281, 569, 237, 525, 178, 466, 196, 484, 134, 422, 84, 372)(51, 339, 91, 379, 143, 431, 205, 493, 174, 462, 234, 522, 279, 567, 253, 541, 193, 481, 131, 419, 138, 426, 88, 376)(57, 345, 99, 387, 152, 440, 186, 474, 243, 531, 284, 572, 285, 573, 244, 532, 188, 476, 214, 502, 153, 441, 100, 388)(61, 349, 105, 393, 159, 447, 118, 406, 176, 464, 236, 524, 280, 568, 255, 543, 195, 483, 219, 507, 160, 448, 106, 394)(68, 356, 115, 403, 172, 460, 155, 443, 101, 389, 154, 442, 215, 503, 264, 552, 275, 563, 224, 512, 168, 456, 112, 400)(75, 363, 125, 413, 184, 472, 227, 515, 166, 454, 226, 514, 276, 564, 268, 556, 212, 500, 150, 438, 180, 468, 122, 410)(85, 373, 135, 423, 197, 485, 248, 536, 287, 575, 265, 553, 241, 529, 181, 469, 124, 412, 183, 471, 198, 486, 136, 424)(90, 378, 142, 430, 204, 492, 162, 450, 107, 395, 161, 449, 220, 508, 240, 528, 283, 571, 249, 537, 200, 488, 139, 427)(114, 402, 171, 459, 232, 520, 222, 510, 163, 451, 221, 509, 273, 561, 246, 534, 286, 574, 267, 555, 230, 518, 169, 457)(137, 425, 170, 458, 231, 519, 262, 550, 277, 565, 228, 516, 257, 545, 201, 489, 141, 429, 203, 491, 256, 544, 199, 487)(156, 444, 202, 490, 258, 546, 238, 526, 282, 570, 252, 540, 274, 562, 223, 511, 182, 470, 242, 530, 270, 558, 216, 504)
	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, 345)(33, 309)(34, 349)(35, 351)(36, 326)(37, 354)(38, 307)(39, 323)(40, 348)(41, 361)(42, 310)(43, 334)(44, 367)(45, 314)(46, 366)(47, 333)(48, 373)(49, 339)(50, 376)(51, 315)(52, 332)(53, 344)(54, 383)(55, 320)(56, 382)(57, 343)(58, 389)(59, 322)(60, 360)(61, 347)(62, 395)(63, 327)(64, 379)(65, 384)(66, 356)(67, 400)(68, 325)(69, 353)(70, 397)(71, 385)(72, 328)(73, 363)(74, 410)(75, 329)(76, 342)(77, 391)(78, 331)(79, 340)(80, 413)(81, 372)(82, 419)(83, 336)(84, 381)(85, 371)(86, 425)(87, 352)(88, 378)(89, 427)(90, 338)(91, 375)(92, 417)(93, 369)(94, 341)(95, 364)(96, 357)(97, 388)(98, 438)(99, 346)(100, 359)(101, 387)(102, 444)(103, 394)(104, 445)(105, 350)(106, 365)(107, 393)(108, 451)(109, 406)(110, 454)(111, 446)(112, 402)(113, 457)(114, 355)(115, 399)(116, 437)(117, 447)(118, 358)(119, 441)(120, 392)(121, 368)(122, 412)(123, 469)(124, 362)(125, 409)(126, 436)(127, 448)(128, 370)(129, 433)(130, 479)(131, 416)(132, 430)(133, 424)(134, 483)(135, 374)(136, 432)(137, 423)(138, 420)(139, 429)(140, 489)(141, 377)(142, 426)(143, 398)(144, 421)(145, 380)(146, 422)(147, 386)(148, 474)(149, 462)(150, 435)(151, 471)(152, 443)(153, 466)(154, 390)(155, 473)(156, 442)(157, 408)(158, 403)(159, 450)(160, 476)(161, 396)(162, 405)(163, 449)(164, 511)(165, 512)(166, 431)(167, 516)(168, 513)(169, 458)(170, 401)(171, 456)(172, 506)(173, 493)(174, 404)(175, 492)(176, 453)(177, 525)(178, 407)(179, 505)(180, 439)(181, 470)(182, 411)(183, 468)(184, 418)(185, 440)(186, 414)(187, 532)(188, 415)(189, 481)(190, 537)(191, 472)(192, 540)(193, 536)(194, 463)(195, 434)(196, 502)(197, 487)(198, 501)(199, 535)(200, 538)(201, 490)(202, 428)(203, 488)(204, 482)(205, 515)(206, 486)(207, 478)(208, 543)(209, 500)(210, 553)(211, 555)(212, 552)(213, 494)(214, 507)(215, 504)(216, 551)(217, 528)(218, 521)(219, 484)(220, 510)(221, 452)(222, 527)(223, 509)(224, 464)(225, 459)(226, 455)(227, 461)(228, 514)(229, 546)(230, 549)(231, 518)(232, 547)(233, 460)(234, 499)(235, 542)(236, 563)(237, 526)(238, 465)(239, 508)(240, 467)(241, 554)(242, 529)(243, 498)(244, 534)(245, 561)(246, 475)(247, 485)(248, 477)(249, 495)(250, 491)(251, 480)(252, 539)(253, 572)(254, 558)(255, 550)(256, 566)(257, 517)(258, 545)(259, 557)(260, 571)(261, 519)(262, 496)(263, 503)(264, 497)(265, 531)(266, 530)(267, 522)(268, 524)(269, 520)(270, 523)(271, 548)(272, 544)(273, 562)(274, 533)(275, 556)(276, 565)(277, 568)(278, 560)(279, 574)(280, 564)(281, 576)(282, 569)(283, 559)(284, 575)(285, 567)(286, 573)(287, 541)(288, 570)
	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 E13.1613
Transitivity :: ET+ VT+ AT
Graph::
	v = 24 e = 288 f = 240
	degree seq :: [ 24^24 ]

E13.1618 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 3, 12})
Quotient :: loop
Aut^+ = A4 x S4 (small group id <288, 1024>)
Aut   = $<576, 8653>$ (small group id <576, 8653>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, (T2 * T1^-1)^3, (T1^-2 * T2 * T1^2 * T2)^2, T1^12 ]
Map:: polyhedral 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, 84, 372)(52, 340, 87, 375)(54, 342, 89, 377)(55, 343, 92, 380)(57, 345, 93, 381)(58, 346, 86, 374)(60, 348, 98, 386)(62, 350, 100, 388)(63, 351, 101, 389)(66, 354, 102, 390)(67, 355, 107, 395)(68, 356, 108, 396)(69, 357, 111, 399)(72, 360, 113, 401)(73, 361, 116, 404)(75, 363, 117, 405)(76, 364, 119, 407)(78, 366, 121, 409)(79, 367, 124, 412)(82, 370, 125, 413)(83, 371, 129, 417)(85, 373, 130, 418)(88, 376, 134, 422)(90, 378, 136, 424)(91, 379, 138, 426)(94, 382, 127, 415)(95, 383, 133, 421)(96, 384, 132, 420)(97, 385, 128, 416)(99, 387, 147, 435)(103, 391, 149, 437)(104, 392, 154, 442)(105, 393, 155, 443)(106, 394, 158, 446)(109, 397, 160, 448)(110, 398, 163, 451)(112, 400, 164, 452)(114, 402, 166, 454)(115, 403, 169, 457)(118, 406, 170, 458)(120, 408, 172, 460)(122, 410, 174, 462)(123, 411, 175, 463)(126, 414, 176, 464)(131, 419, 184, 472)(135, 423, 189, 477)(137, 425, 191, 479)(139, 427, 192, 480)(140, 428, 180, 468)(141, 429, 178, 466)(142, 430, 198, 486)(143, 431, 194, 482)(144, 432, 182, 470)(145, 433, 181, 469)(146, 434, 195, 483)(148, 436, 150, 438)(151, 439, 208, 496)(152, 440, 209, 497)(153, 441, 212, 500)(156, 444, 214, 502)(157, 445, 217, 505)(159, 447, 218, 506)(161, 449, 220, 508)(162, 450, 223, 511)(165, 453, 225, 513)(167, 455, 227, 515)(168, 456, 228, 516)(171, 459, 229, 517)(173, 461, 233, 521)(177, 465, 235, 523)(179, 467, 238, 526)(183, 471, 211, 499)(185, 473, 243, 531)(186, 474, 245, 533)(187, 475, 231, 519)(188, 476, 219, 507)(190, 478, 236, 524)(193, 481, 248, 536)(196, 484, 216, 504)(197, 485, 247, 535)(199, 487, 224, 512)(200, 488, 239, 527)(201, 489, 246, 534)(202, 490, 240, 528)(203, 491, 250, 538)(204, 492, 244, 532)(205, 493, 257, 545)(206, 494, 258, 546)(207, 495, 260, 548)(210, 498, 262, 550)(213, 501, 264, 552)(215, 503, 266, 554)(221, 509, 270, 558)(222, 510, 271, 559)(226, 514, 274, 562)(230, 518, 275, 563)(232, 520, 265, 553)(234, 522, 276, 564)(237, 525, 278, 566)(241, 529, 280, 568)(242, 530, 281, 569)(249, 537, 279, 567)(251, 539, 277, 565)(252, 540, 263, 551)(253, 541, 267, 555)(254, 542, 269, 557)(255, 543, 282, 570)(256, 544, 283, 571)(259, 547, 284, 572)(261, 549, 285, 573)(268, 556, 287, 575)(272, 560, 288, 576)(273, 561, 286, 574)
	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, 371)(50, 316)(51, 317)(52, 374)(53, 376)(54, 319)(55, 379)(56, 381)(57, 321)(58, 383)(59, 323)(60, 385)(61, 387)(62, 324)(63, 350)(64, 390)(65, 392)(66, 326)(67, 394)(68, 328)(69, 398)(70, 333)(71, 338)(72, 330)(73, 403)(74, 405)(75, 332)(76, 344)(77, 408)(78, 334)(79, 411)(80, 413)(81, 401)(82, 336)(83, 416)(84, 406)(85, 339)(86, 420)(87, 341)(88, 399)(89, 423)(90, 342)(91, 425)(92, 407)(93, 428)(94, 345)(95, 430)(96, 347)(97, 432)(98, 349)(99, 434)(100, 436)(101, 437)(102, 439)(103, 352)(104, 441)(105, 354)(106, 445)(107, 359)(108, 363)(109, 356)(110, 450)(111, 452)(112, 358)(113, 453)(114, 360)(115, 456)(116, 458)(117, 448)(118, 362)(119, 365)(120, 446)(121, 461)(122, 366)(123, 378)(124, 464)(125, 466)(126, 368)(127, 370)(128, 469)(129, 372)(130, 471)(131, 373)(132, 474)(133, 375)(134, 377)(135, 476)(136, 478)(137, 473)(138, 480)(139, 380)(140, 483)(141, 382)(142, 485)(143, 384)(144, 488)(145, 386)(146, 490)(147, 388)(148, 492)(149, 493)(150, 389)(151, 495)(152, 391)(153, 499)(154, 396)(155, 400)(156, 393)(157, 504)(158, 506)(159, 395)(160, 507)(161, 397)(162, 510)(163, 422)(164, 502)(165, 500)(166, 514)(167, 402)(168, 410)(169, 517)(170, 418)(171, 404)(172, 409)(173, 520)(174, 522)(175, 523)(176, 525)(177, 412)(178, 505)(179, 414)(180, 415)(181, 529)(182, 417)(183, 513)(184, 530)(185, 419)(186, 532)(187, 421)(188, 508)(189, 424)(190, 535)(191, 536)(192, 512)(193, 426)(194, 427)(195, 538)(196, 429)(197, 539)(198, 519)(199, 431)(200, 541)(201, 433)(202, 542)(203, 435)(204, 543)(205, 544)(206, 438)(207, 477)(208, 443)(209, 447)(210, 440)(211, 472)(212, 552)(213, 442)(214, 553)(215, 444)(216, 556)(217, 460)(218, 550)(219, 548)(220, 557)(221, 449)(222, 455)(223, 487)(224, 451)(225, 454)(226, 561)(227, 465)(228, 563)(229, 489)(230, 457)(231, 459)(232, 554)(233, 462)(234, 479)(235, 559)(236, 463)(237, 491)(238, 470)(239, 467)(240, 468)(241, 545)(242, 555)(243, 564)(244, 546)(245, 482)(246, 475)(247, 551)(248, 547)(249, 481)(250, 549)(251, 484)(252, 486)(253, 560)(254, 558)(255, 562)(256, 521)(257, 497)(258, 501)(259, 494)(260, 573)(261, 496)(262, 574)(263, 498)(264, 572)(265, 571)(266, 527)(267, 503)(268, 509)(269, 537)(270, 518)(271, 576)(272, 511)(273, 540)(274, 515)(275, 575)(276, 516)(277, 524)(278, 526)(279, 528)(280, 534)(281, 531)(282, 533)(283, 568)(284, 567)(285, 566)(286, 570)(287, 565)(288, 569)
	local type(s) :: { ( 3, 12, 3, 12 ) }
Outer automorphisms :: reflexible
Dual of E13.1614
Transitivity :: ET+ VT+ AT
Graph:: simple
	v = 144 e = 288 f = 120
	degree seq :: [ 4^144 ]

E13.1619 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 12})
Quotient :: dipole
Aut^+ = A4 x S4 (small group id <288, 1024>)
Aut   = $<576, 8653>$ (small group id <576, 8653>)
|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 * Y1 * Y2^-1 * Y1 * Y2^-1)^2, (Y3 * Y2^-1)^12, (Y1 * Y2 * Y1 * Y2^-1)^6 ]
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, 45, 333)(30, 318, 46, 334)(31, 319, 47, 335)(32, 320, 48, 336)(33, 321, 49, 337)(34, 322, 50, 338)(35, 323, 51, 339)(36, 324, 52, 340)(37, 325, 53, 341)(38, 326, 54, 342)(39, 327, 55, 343)(40, 328, 56, 344)(41, 329, 57, 345)(42, 330, 58, 346)(59, 347, 91, 379)(60, 348, 92, 380)(61, 349, 93, 381)(62, 350, 78, 366)(63, 351, 94, 382)(64, 352, 95, 383)(65, 353, 84, 372)(66, 354, 96, 384)(67, 355, 97, 385)(68, 356, 81, 369)(69, 357, 98, 386)(70, 358, 99, 387)(71, 359, 87, 375)(72, 360, 100, 388)(73, 361, 101, 389)(74, 362, 102, 390)(75, 363, 103, 391)(76, 364, 104, 392)(77, 365, 105, 393)(79, 367, 106, 394)(80, 368, 107, 395)(82, 370, 108, 396)(83, 371, 109, 397)(85, 373, 110, 398)(86, 374, 111, 399)(88, 376, 112, 400)(89, 377, 113, 401)(90, 378, 114, 402)(115, 403, 151, 439)(116, 404, 152, 440)(117, 405, 153, 441)(118, 406, 154, 442)(119, 407, 155, 443)(120, 408, 156, 444)(121, 409, 157, 445)(122, 410, 158, 446)(123, 411, 159, 447)(124, 412, 160, 448)(125, 413, 161, 449)(126, 414, 162, 450)(127, 415, 163, 451)(128, 416, 164, 452)(129, 417, 165, 453)(130, 418, 166, 454)(131, 419, 167, 455)(132, 420, 168, 456)(133, 421, 169, 457)(134, 422, 170, 458)(135, 423, 171, 459)(136, 424, 172, 460)(137, 425, 173, 461)(138, 426, 174, 462)(139, 427, 175, 463)(140, 428, 176, 464)(141, 429, 177, 465)(142, 430, 178, 466)(143, 431, 179, 467)(144, 432, 180, 468)(145, 433, 181, 469)(146, 434, 182, 470)(147, 435, 183, 471)(148, 436, 184, 472)(149, 437, 185, 473)(150, 438, 186, 474)(187, 475, 234, 522)(188, 476, 235, 523)(189, 477, 236, 524)(190, 478, 216, 504)(191, 479, 237, 525)(192, 480, 214, 502)(193, 481, 238, 526)(194, 482, 239, 527)(195, 483, 240, 528)(196, 484, 227, 515)(197, 485, 241, 529)(198, 486, 222, 510)(199, 487, 242, 530)(200, 488, 243, 531)(201, 489, 244, 532)(202, 490, 245, 533)(203, 491, 220, 508)(204, 492, 246, 534)(205, 493, 229, 517)(206, 494, 247, 535)(207, 495, 248, 536)(208, 496, 249, 537)(209, 497, 250, 538)(210, 498, 211, 499)(212, 500, 251, 539)(213, 501, 252, 540)(215, 503, 253, 541)(217, 505, 254, 542)(218, 506, 255, 543)(219, 507, 256, 544)(221, 509, 257, 545)(223, 511, 258, 546)(224, 512, 259, 547)(225, 513, 260, 548)(226, 514, 261, 549)(228, 516, 262, 550)(230, 518, 263, 551)(231, 519, 264, 552)(232, 520, 265, 553)(233, 521, 266, 554)(267, 555, 283, 571)(268, 556, 279, 567)(269, 557, 287, 575)(270, 558, 288, 576)(271, 559, 282, 570)(272, 560, 278, 566)(273, 561, 285, 573)(274, 562, 284, 572)(275, 563, 286, 574)(276, 564, 280, 568)(277, 565, 281, 569)(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, 635, 923, 636, 924)(620, 908, 637, 925, 638, 926)(621, 909, 639, 927, 640, 928)(622, 910, 641, 929, 642, 930)(623, 911, 643, 931, 644, 932)(624, 912, 645, 933, 646, 934)(625, 913, 647, 935, 648, 936)(626, 914, 649, 937, 650, 938)(627, 915, 651, 939, 652, 940)(628, 916, 653, 941, 654, 942)(629, 917, 655, 943, 656, 944)(630, 918, 657, 945, 658, 946)(631, 919, 659, 947, 660, 948)(632, 920, 661, 949, 662, 950)(633, 921, 663, 951, 664, 952)(634, 922, 665, 953, 666, 954)(667, 955, 691, 979, 692, 980)(668, 956, 693, 981, 675, 963)(669, 957, 694, 982, 695, 983)(670, 958, 696, 984, 677, 965)(671, 959, 697, 985, 698, 986)(672, 960, 699, 987, 700, 988)(673, 961, 701, 989, 702, 990)(674, 962, 703, 991, 704, 992)(676, 964, 705, 993, 706, 994)(678, 966, 707, 995, 708, 996)(679, 967, 709, 997, 710, 998)(680, 968, 711, 999, 687, 975)(681, 969, 712, 1000, 713, 1001)(682, 970, 714, 1002, 689, 977)(683, 971, 715, 1003, 716, 1004)(684, 972, 717, 1005, 718, 1006)(685, 973, 719, 1007, 720, 1008)(686, 974, 721, 1009, 722, 1010)(688, 976, 723, 1011, 724, 1012)(690, 978, 725, 1013, 726, 1014)(727, 1015, 763, 1051, 764, 1052)(728, 1016, 765, 1053, 734, 1022)(729, 1017, 766, 1054, 767, 1055)(730, 1018, 768, 1056, 735, 1023)(731, 1019, 769, 1057, 770, 1058)(732, 1020, 771, 1059, 772, 1060)(733, 1021, 773, 1061, 774, 1062)(736, 1024, 775, 1063, 776, 1064)(737, 1025, 777, 1065, 778, 1066)(738, 1026, 779, 1067, 742, 1030)(739, 1027, 780, 1068, 743, 1031)(740, 1028, 781, 1069, 782, 1070)(741, 1029, 783, 1071, 784, 1072)(744, 1032, 785, 1073, 786, 1074)(745, 1033, 787, 1075, 788, 1076)(746, 1034, 789, 1077, 752, 1040)(747, 1035, 790, 1078, 791, 1079)(748, 1036, 792, 1080, 753, 1041)(749, 1037, 793, 1081, 794, 1082)(750, 1038, 795, 1083, 796, 1084)(751, 1039, 797, 1085, 798, 1086)(754, 1042, 799, 1087, 800, 1088)(755, 1043, 801, 1089, 802, 1090)(756, 1044, 803, 1091, 760, 1048)(757, 1045, 804, 1092, 761, 1049)(758, 1046, 805, 1093, 806, 1094)(759, 1047, 807, 1095, 808, 1096)(762, 1050, 809, 1097, 810, 1098)(811, 1099, 843, 1131, 815, 1103)(812, 1100, 822, 1110, 844, 1132)(813, 1101, 845, 1133, 846, 1134)(814, 1102, 847, 1135, 825, 1113)(816, 1104, 848, 1136, 849, 1137)(817, 1105, 850, 1138, 818, 1106)(819, 1107, 851, 1139, 820, 1108)(821, 1109, 852, 1140, 823, 1111)(824, 1112, 853, 1141, 826, 1114)(827, 1115, 854, 1142, 831, 1119)(828, 1116, 838, 1126, 855, 1143)(829, 1117, 856, 1144, 857, 1145)(830, 1118, 858, 1146, 841, 1129)(832, 1120, 859, 1147, 860, 1148)(833, 1121, 861, 1149, 834, 1122)(835, 1123, 862, 1150, 836, 1124)(837, 1125, 863, 1151, 839, 1127)(840, 1128, 864, 1152, 842, 1130)
	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, 621)(30, 622)(31, 623)(32, 624)(33, 625)(34, 626)(35, 627)(36, 628)(37, 629)(38, 630)(39, 631)(40, 632)(41, 633)(42, 634)(43, 603)(44, 604)(45, 605)(46, 606)(47, 607)(48, 608)(49, 609)(50, 610)(51, 611)(52, 612)(53, 613)(54, 614)(55, 615)(56, 616)(57, 617)(58, 618)(59, 667)(60, 668)(61, 669)(62, 654)(63, 670)(64, 671)(65, 660)(66, 672)(67, 673)(68, 657)(69, 674)(70, 675)(71, 663)(72, 676)(73, 677)(74, 678)(75, 679)(76, 680)(77, 681)(78, 638)(79, 682)(80, 683)(81, 644)(82, 684)(83, 685)(84, 641)(85, 686)(86, 687)(87, 647)(88, 688)(89, 689)(90, 690)(91, 635)(92, 636)(93, 637)(94, 639)(95, 640)(96, 642)(97, 643)(98, 645)(99, 646)(100, 648)(101, 649)(102, 650)(103, 651)(104, 652)(105, 653)(106, 655)(107, 656)(108, 658)(109, 659)(110, 661)(111, 662)(112, 664)(113, 665)(114, 666)(115, 727)(116, 728)(117, 729)(118, 730)(119, 731)(120, 732)(121, 733)(122, 734)(123, 735)(124, 736)(125, 737)(126, 738)(127, 739)(128, 740)(129, 741)(130, 742)(131, 743)(132, 744)(133, 745)(134, 746)(135, 747)(136, 748)(137, 749)(138, 750)(139, 751)(140, 752)(141, 753)(142, 754)(143, 755)(144, 756)(145, 757)(146, 758)(147, 759)(148, 760)(149, 761)(150, 762)(151, 691)(152, 692)(153, 693)(154, 694)(155, 695)(156, 696)(157, 697)(158, 698)(159, 699)(160, 700)(161, 701)(162, 702)(163, 703)(164, 704)(165, 705)(166, 706)(167, 707)(168, 708)(169, 709)(170, 710)(171, 711)(172, 712)(173, 713)(174, 714)(175, 715)(176, 716)(177, 717)(178, 718)(179, 719)(180, 720)(181, 721)(182, 722)(183, 723)(184, 724)(185, 725)(186, 726)(187, 810)(188, 811)(189, 812)(190, 792)(191, 813)(192, 790)(193, 814)(194, 815)(195, 816)(196, 803)(197, 817)(198, 798)(199, 818)(200, 819)(201, 820)(202, 821)(203, 796)(204, 822)(205, 805)(206, 823)(207, 824)(208, 825)(209, 826)(210, 787)(211, 786)(212, 827)(213, 828)(214, 768)(215, 829)(216, 766)(217, 830)(218, 831)(219, 832)(220, 779)(221, 833)(222, 774)(223, 834)(224, 835)(225, 836)(226, 837)(227, 772)(228, 838)(229, 781)(230, 839)(231, 840)(232, 841)(233, 842)(234, 763)(235, 764)(236, 765)(237, 767)(238, 769)(239, 770)(240, 771)(241, 773)(242, 775)(243, 776)(244, 777)(245, 778)(246, 780)(247, 782)(248, 783)(249, 784)(250, 785)(251, 788)(252, 789)(253, 791)(254, 793)(255, 794)(256, 795)(257, 797)(258, 799)(259, 800)(260, 801)(261, 802)(262, 804)(263, 806)(264, 807)(265, 808)(266, 809)(267, 859)(268, 855)(269, 863)(270, 864)(271, 858)(272, 854)(273, 861)(274, 860)(275, 862)(276, 856)(277, 857)(278, 848)(279, 844)(280, 852)(281, 853)(282, 847)(283, 843)(284, 850)(285, 849)(286, 851)(287, 845)(288, 846)(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, 24, 2, 24 ), ( 2, 24, 2, 24, 2, 24 ) }
Outer automorphisms :: reflexible
Dual of E13.1622
Graph:: bipartite
	v = 240 e = 576 f = 312
	degree seq :: [ 4^144, 6^96 ]

E13.1620 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 12})
Quotient :: dipole
Aut^+ = A4 x S4 (small group id <288, 1024>)
Aut   = $<576, 8653>$ (small group id <576, 8653>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, Y1^3, (Y3^-1 * Y1^-1)^2, (R * Y3)^2, (Y2^-1 * Y1^-1)^2, (R * Y1)^2, Y2 * Y1^-1 * Y2^-2 * Y1 * Y2^2 * Y1^-1 * Y2^-3 * Y1^-1, Y2^12, Y2^3 * Y1 * Y2^2 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-3 * Y1^-1, (Y2 * Y1^-1 * Y2^3)^3 ]
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, 57, 345, 55, 343)(34, 322, 61, 349, 59, 347)(35, 323, 63, 351, 39, 327)(37, 325, 66, 354, 68, 356)(40, 328, 60, 348, 72, 360)(41, 329, 73, 361, 75, 363)(43, 331, 46, 334, 78, 366)(44, 332, 79, 367, 52, 340)(48, 336, 85, 373, 83, 371)(50, 338, 88, 376, 90, 378)(53, 341, 56, 344, 94, 382)(54, 342, 95, 383, 76, 364)(58, 346, 101, 389, 99, 387)(62, 350, 107, 395, 105, 393)(64, 352, 91, 379, 87, 375)(65, 353, 96, 384, 69, 357)(67, 355, 112, 400, 114, 402)(70, 358, 109, 397, 118, 406)(71, 359, 97, 385, 100, 388)(74, 362, 122, 410, 124, 412)(77, 365, 103, 391, 106, 394)(80, 368, 125, 413, 121, 409)(81, 369, 84, 372, 93, 381)(82, 370, 131, 419, 128, 416)(86, 374, 137, 425, 135, 423)(89, 377, 139, 427, 141, 429)(92, 380, 129, 417, 145, 433)(98, 386, 150, 438, 147, 435)(102, 390, 156, 444, 154, 442)(104, 392, 157, 445, 120, 408)(108, 396, 163, 451, 161, 449)(110, 398, 166, 454, 143, 431)(111, 399, 158, 446, 115, 403)(113, 401, 169, 457, 170, 458)(116, 404, 149, 437, 174, 462)(117, 405, 159, 447, 162, 450)(119, 407, 153, 441, 178, 466)(123, 411, 181, 469, 182, 470)(126, 414, 148, 436, 186, 474)(127, 415, 160, 448, 188, 476)(130, 418, 191, 479, 184, 472)(132, 420, 142, 430, 138, 426)(133, 421, 136, 424, 144, 432)(134, 422, 195, 483, 146, 434)(140, 428, 201, 489, 202, 490)(151, 439, 183, 471, 180, 468)(152, 440, 155, 443, 185, 473)(164, 452, 223, 511, 221, 509)(165, 453, 224, 512, 176, 464)(167, 455, 228, 516, 226, 514)(168, 456, 225, 513, 171, 459)(172, 460, 218, 506, 233, 521)(173, 461, 205, 493, 227, 515)(175, 463, 204, 492, 194, 482)(177, 465, 237, 525, 238, 526)(179, 467, 217, 505, 240, 528)(187, 475, 244, 532, 246, 534)(189, 477, 193, 481, 248, 536)(190, 478, 249, 537, 207, 495)(192, 480, 252, 540, 251, 539)(196, 484, 214, 502, 219, 507)(197, 485, 199, 487, 247, 535)(198, 486, 213, 501, 206, 494)(200, 488, 250, 538, 203, 491)(208, 496, 255, 543, 262, 550)(209, 497, 212, 500, 264, 552)(210, 498, 265, 553, 243, 531)(211, 499, 267, 555, 234, 522)(215, 503, 216, 504, 263, 551)(220, 508, 222, 510, 239, 527)(229, 517, 258, 546, 257, 545)(230, 518, 261, 549, 231, 519)(232, 520, 259, 547, 269, 557)(235, 523, 254, 542, 270, 558)(236, 524, 275, 563, 268, 556)(241, 529, 266, 554, 242, 530)(245, 533, 273, 561, 274, 562)(253, 541, 284, 572, 287, 575)(256, 544, 278, 566, 272, 560)(260, 548, 283, 571, 271, 559)(276, 564, 277, 565, 280, 568)(279, 567, 286, 574, 285, 573)(281, 569, 288, 576, 282, 570)(577, 865, 579, 867, 585, 873, 595, 883, 613, 901, 643, 931, 689, 977, 662, 950, 624, 912, 602, 890, 589, 877, 581, 869)(578, 866, 582, 870, 590, 878, 603, 891, 626, 914, 665, 953, 716, 1004, 678, 966, 634, 922, 608, 896, 592, 880, 583, 871)(580, 868, 587, 875, 598, 886, 617, 905, 650, 938, 699, 987, 740, 1028, 684, 972, 638, 926, 610, 898, 593, 881, 584, 872)(586, 874, 597, 885, 616, 904, 647, 935, 695, 983, 753, 1041, 805, 1093, 743, 1031, 686, 974, 640, 928, 611, 899, 594, 882)(588, 876, 599, 887, 619, 907, 653, 941, 703, 991, 763, 1051, 821, 1109, 768, 1056, 706, 994, 656, 944, 620, 908, 600, 888)(591, 879, 605, 893, 629, 917, 669, 957, 722, 1010, 784, 1072, 837, 1125, 787, 1075, 725, 1013, 672, 960, 630, 918, 606, 894)(596, 884, 615, 903, 646, 934, 693, 981, 751, 1039, 811, 1099, 842, 1130, 786, 1074, 724, 1012, 671, 959, 641, 929, 612, 900)(601, 889, 621, 909, 657, 945, 670, 958, 723, 1011, 785, 1073, 839, 1127, 830, 1118, 770, 1058, 708, 996, 658, 946, 622, 910)(604, 892, 628, 916, 668, 956, 720, 1008, 782, 1070, 835, 1123, 801, 1089, 741, 1029, 685, 973, 639, 927, 663, 951, 625, 913)(607, 895, 631, 919, 673, 961, 648, 936, 696, 984, 755, 1043, 815, 1103, 845, 1133, 789, 1077, 727, 1015, 674, 962, 632, 920)(609, 897, 635, 923, 679, 967, 654, 942, 704, 992, 765, 1053, 823, 1111, 848, 1136, 794, 1082, 734, 1022, 680, 968, 636, 924)(614, 902, 645, 933, 692, 980, 749, 1037, 767, 1055, 827, 1115, 864, 1152, 847, 1135, 793, 1081, 733, 1021, 687, 975, 642, 930)(618, 906, 652, 940, 702, 990, 761, 1049, 809, 1097, 854, 1142, 826, 1114, 766, 1054, 705, 993, 655, 943, 697, 985, 649, 937)(623, 911, 659, 947, 709, 997, 721, 1009, 783, 1071, 836, 1124, 857, 1145, 813, 1101, 754, 1042, 772, 1060, 710, 998, 660, 948)(627, 915, 667, 955, 719, 1007, 781, 1069, 750, 1038, 810, 1098, 855, 1143, 829, 1117, 769, 1057, 707, 995, 714, 1002, 664, 952)(633, 921, 675, 963, 728, 1016, 762, 1050, 819, 1107, 860, 1148, 861, 1149, 820, 1108, 764, 1052, 790, 1078, 729, 1017, 676, 964)(637, 925, 681, 969, 735, 1023, 694, 982, 752, 1040, 812, 1100, 856, 1144, 831, 1119, 771, 1059, 795, 1083, 736, 1024, 682, 970)(644, 932, 691, 979, 748, 1036, 731, 1019, 677, 965, 730, 1018, 791, 1079, 840, 1128, 851, 1139, 800, 1088, 744, 1032, 688, 976)(651, 939, 701, 989, 760, 1048, 803, 1091, 742, 1030, 802, 1090, 852, 1140, 844, 1132, 788, 1076, 726, 1014, 756, 1044, 698, 986)(661, 949, 711, 999, 773, 1061, 824, 1112, 863, 1151, 841, 1129, 817, 1105, 757, 1045, 700, 988, 759, 1047, 774, 1062, 712, 1000)(666, 954, 718, 1006, 780, 1068, 738, 1026, 683, 971, 737, 1025, 796, 1084, 816, 1104, 859, 1147, 825, 1113, 776, 1064, 715, 1003)(690, 978, 747, 1035, 808, 1096, 798, 1086, 739, 1027, 797, 1085, 849, 1137, 822, 1110, 862, 1150, 843, 1131, 806, 1094, 745, 1033)(713, 1001, 746, 1034, 807, 1095, 838, 1126, 853, 1141, 804, 1092, 833, 1121, 777, 1065, 717, 1005, 779, 1067, 832, 1120, 775, 1063)(732, 1020, 778, 1066, 834, 1122, 814, 1102, 858, 1146, 828, 1116, 850, 1138, 799, 1087, 758, 1046, 818, 1106, 846, 1134, 792, 1080)
	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, 635)(34, 593)(35, 594)(36, 596)(37, 643)(38, 645)(39, 646)(40, 647)(41, 650)(42, 652)(43, 653)(44, 600)(45, 657)(46, 601)(47, 659)(48, 602)(49, 604)(50, 665)(51, 667)(52, 668)(53, 669)(54, 606)(55, 673)(56, 607)(57, 675)(58, 608)(59, 679)(60, 609)(61, 681)(62, 610)(63, 663)(64, 611)(65, 612)(66, 614)(67, 689)(68, 691)(69, 692)(70, 693)(71, 695)(72, 696)(73, 618)(74, 699)(75, 701)(76, 702)(77, 703)(78, 704)(79, 697)(80, 620)(81, 670)(82, 622)(83, 709)(84, 623)(85, 711)(86, 624)(87, 625)(88, 627)(89, 716)(90, 718)(91, 719)(92, 720)(93, 722)(94, 723)(95, 641)(96, 630)(97, 648)(98, 632)(99, 728)(100, 633)(101, 730)(102, 634)(103, 654)(104, 636)(105, 735)(106, 637)(107, 737)(108, 638)(109, 639)(110, 640)(111, 642)(112, 644)(113, 662)(114, 747)(115, 748)(116, 749)(117, 751)(118, 752)(119, 753)(120, 755)(121, 649)(122, 651)(123, 740)(124, 759)(125, 760)(126, 761)(127, 763)(128, 765)(129, 655)(130, 656)(131, 714)(132, 658)(133, 721)(134, 660)(135, 773)(136, 661)(137, 746)(138, 664)(139, 666)(140, 678)(141, 779)(142, 780)(143, 781)(144, 782)(145, 783)(146, 784)(147, 785)(148, 671)(149, 672)(150, 756)(151, 674)(152, 762)(153, 676)(154, 791)(155, 677)(156, 778)(157, 687)(158, 680)(159, 694)(160, 682)(161, 796)(162, 683)(163, 797)(164, 684)(165, 685)(166, 802)(167, 686)(168, 688)(169, 690)(170, 807)(171, 808)(172, 731)(173, 767)(174, 810)(175, 811)(176, 812)(177, 805)(178, 772)(179, 815)(180, 698)(181, 700)(182, 818)(183, 774)(184, 803)(185, 809)(186, 819)(187, 821)(188, 790)(189, 823)(190, 705)(191, 827)(192, 706)(193, 707)(194, 708)(195, 795)(196, 710)(197, 824)(198, 712)(199, 713)(200, 715)(201, 717)(202, 834)(203, 832)(204, 738)(205, 750)(206, 835)(207, 836)(208, 837)(209, 839)(210, 724)(211, 725)(212, 726)(213, 727)(214, 729)(215, 840)(216, 732)(217, 733)(218, 734)(219, 736)(220, 816)(221, 849)(222, 739)(223, 758)(224, 744)(225, 741)(226, 852)(227, 742)(228, 833)(229, 743)(230, 745)(231, 838)(232, 798)(233, 854)(234, 855)(235, 842)(236, 856)(237, 754)(238, 858)(239, 845)(240, 859)(241, 757)(242, 846)(243, 860)(244, 764)(245, 768)(246, 862)(247, 848)(248, 863)(249, 776)(250, 766)(251, 864)(252, 850)(253, 769)(254, 770)(255, 771)(256, 775)(257, 777)(258, 814)(259, 801)(260, 857)(261, 787)(262, 853)(263, 830)(264, 851)(265, 817)(266, 786)(267, 806)(268, 788)(269, 789)(270, 792)(271, 793)(272, 794)(273, 822)(274, 799)(275, 800)(276, 844)(277, 804)(278, 826)(279, 829)(280, 831)(281, 813)(282, 828)(283, 825)(284, 861)(285, 820)(286, 843)(287, 841)(288, 847)(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 ) }
Outer automorphisms :: reflexible
Dual of E13.1621
Graph:: bipartite
	v = 120 e = 576 f = 432
	degree seq :: [ 6^96, 24^24 ]

E13.1621 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 12})
Quotient :: dipole
Aut^+ = A4 x S4 (small group id <288, 1024>)
Aut   = $<576, 8653>$ (small group id <576, 8653>)
|r| :: 2
Presentation :: [ Y1, Y2^2, R^2, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, (Y3 * Y2)^3, (Y3^-2 * Y2 * Y3^2 * Y2)^2, Y3 * Y2 * Y3^-4 * Y2 * Y3^-5 * Y2 * Y3^-4 * Y2, (Y3^-1 * Y1^-1)^12 ]
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, 655, 943)(625, 913, 658, 946)(627, 915, 643, 931)(628, 916, 662, 950)(630, 918, 665, 953)(631, 919, 667, 955)(633, 921, 669, 957)(635, 923, 651, 939)(636, 924, 673, 961)(638, 926, 676, 964)(639, 927, 677, 965)(641, 929, 680, 968)(644, 932, 684, 972)(646, 934, 687, 975)(647, 935, 689, 977)(649, 937, 691, 979)(652, 940, 695, 983)(654, 942, 698, 986)(656, 944, 696, 984)(657, 945, 701, 989)(659, 947, 703, 991)(660, 948, 683, 971)(661, 949, 682, 970)(663, 951, 690, 978)(664, 952, 709, 997)(666, 954, 712, 1000)(668, 956, 685, 973)(670, 958, 716, 1004)(671, 959, 694, 982)(672, 960, 693, 981)(674, 962, 678, 966)(675, 963, 722, 1010)(679, 967, 727, 1015)(681, 969, 729, 1017)(686, 974, 735, 1023)(688, 976, 738, 1026)(692, 980, 742, 1030)(697, 985, 748, 1036)(699, 987, 747, 1035)(700, 988, 746, 1034)(702, 990, 753, 1041)(704, 992, 756, 1044)(705, 993, 754, 1042)(706, 994, 758, 1046)(707, 995, 740, 1028)(708, 996, 739, 1027)(710, 998, 751, 1039)(711, 999, 764, 1052)(713, 1001, 734, 1022)(714, 1002, 733, 1021)(715, 1003, 769, 1057)(717, 1005, 772, 1060)(718, 1006, 770, 1058)(719, 1007, 774, 1062)(720, 1008, 726, 1014)(721, 1009, 725, 1013)(723, 1011, 767, 1055)(724, 1012, 766, 1054)(728, 1016, 783, 1071)(730, 1018, 786, 1074)(731, 1019, 784, 1072)(732, 1020, 788, 1076)(736, 1024, 781, 1069)(737, 1025, 794, 1082)(741, 1029, 799, 1087)(743, 1031, 802, 1090)(744, 1032, 800, 1088)(745, 1033, 804, 1092)(749, 1037, 797, 1085)(750, 1038, 796, 1084)(752, 1040, 812, 1100)(755, 1043, 814, 1102)(757, 1045, 790, 1078)(759, 1047, 795, 1083)(760, 1048, 787, 1075)(761, 1049, 809, 1097)(762, 1050, 811, 1099)(763, 1051, 807, 1095)(765, 1053, 789, 1077)(768, 1056, 817, 1105)(771, 1059, 826, 1114)(773, 1061, 806, 1094)(775, 1063, 810, 1098)(776, 1064, 803, 1091)(777, 1065, 793, 1081)(778, 1066, 824, 1112)(779, 1067, 791, 1079)(780, 1068, 805, 1093)(782, 1070, 833, 1121)(785, 1073, 835, 1123)(792, 1080, 832, 1120)(798, 1086, 838, 1126)(801, 1089, 847, 1135)(808, 1096, 845, 1133)(813, 1101, 842, 1130)(815, 1103, 850, 1138)(816, 1104, 837, 1125)(818, 1106, 843, 1131)(819, 1107, 848, 1136)(820, 1108, 841, 1129)(821, 1109, 834, 1122)(822, 1110, 839, 1127)(823, 1111, 846, 1134)(825, 1113, 844, 1132)(827, 1115, 840, 1128)(828, 1116, 852, 1140)(829, 1117, 836, 1124)(830, 1118, 851, 1139)(831, 1119, 849, 1137)(853, 1141, 859, 1147)(854, 1142, 861, 1149)(855, 1143, 860, 1148)(856, 1144, 864, 1152)(857, 1145, 863, 1151)(858, 1146, 862, 1150)
	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, 656)(48, 657)(49, 604)(50, 660)(51, 605)(52, 606)(53, 662)(54, 666)(55, 608)(56, 667)(57, 670)(58, 611)(59, 672)(60, 674)(61, 675)(62, 612)(63, 678)(64, 679)(65, 614)(66, 682)(67, 615)(68, 616)(69, 684)(70, 688)(71, 618)(72, 689)(73, 692)(74, 621)(75, 694)(76, 696)(77, 697)(78, 622)(79, 624)(80, 700)(81, 632)(82, 702)(83, 625)(84, 705)(85, 627)(86, 707)(87, 628)(88, 629)(89, 709)(90, 638)(91, 713)(92, 631)(93, 701)(94, 717)(95, 634)(96, 719)(97, 637)(98, 721)(99, 723)(100, 724)(101, 640)(102, 726)(103, 648)(104, 728)(105, 641)(106, 731)(107, 643)(108, 733)(109, 644)(110, 645)(111, 735)(112, 654)(113, 739)(114, 647)(115, 727)(116, 743)(117, 650)(118, 745)(119, 653)(120, 747)(121, 749)(122, 750)(123, 655)(124, 752)(125, 658)(126, 754)(127, 755)(128, 659)(129, 757)(130, 661)(131, 760)(132, 663)(133, 762)(134, 664)(135, 665)(136, 764)(137, 767)(138, 668)(139, 669)(140, 769)(141, 730)(142, 671)(143, 775)(144, 673)(145, 777)(146, 676)(147, 779)(148, 780)(149, 677)(150, 782)(151, 680)(152, 784)(153, 785)(154, 681)(155, 787)(156, 683)(157, 790)(158, 685)(159, 792)(160, 686)(161, 687)(162, 794)(163, 797)(164, 690)(165, 691)(166, 799)(167, 704)(168, 693)(169, 805)(170, 695)(171, 807)(172, 698)(173, 809)(174, 810)(175, 699)(176, 813)(177, 703)(178, 788)(179, 815)(180, 816)(181, 817)(182, 818)(183, 706)(184, 783)(185, 708)(186, 808)(187, 710)(188, 821)(189, 711)(190, 712)(191, 824)(192, 714)(193, 806)(194, 715)(195, 716)(196, 826)(197, 718)(198, 800)(199, 825)(200, 720)(201, 829)(202, 722)(203, 830)(204, 831)(205, 725)(206, 834)(207, 729)(208, 758)(209, 836)(210, 837)(211, 838)(212, 839)(213, 732)(214, 753)(215, 734)(216, 778)(217, 736)(218, 842)(219, 737)(220, 738)(221, 845)(222, 740)(223, 776)(224, 741)(225, 742)(226, 847)(227, 744)(228, 770)(229, 846)(230, 746)(231, 850)(232, 748)(233, 851)(234, 852)(235, 751)(236, 773)(237, 759)(238, 756)(239, 841)(240, 772)(241, 856)(242, 857)(243, 761)(244, 763)(245, 855)(246, 765)(247, 766)(248, 853)(249, 768)(250, 858)(251, 771)(252, 774)(253, 854)(254, 848)(255, 843)(256, 781)(257, 803)(258, 789)(259, 786)(260, 820)(261, 802)(262, 862)(263, 863)(264, 791)(265, 793)(266, 861)(267, 795)(268, 796)(269, 859)(270, 798)(271, 864)(272, 801)(273, 804)(274, 860)(275, 827)(276, 822)(277, 811)(278, 812)(279, 814)(280, 819)(281, 828)(282, 823)(283, 832)(284, 833)(285, 835)(286, 840)(287, 849)(288, 844)(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, 24 ), ( 6, 24, 6, 24 ) }
Outer automorphisms :: reflexible
Dual of E13.1620
Graph:: simple bipartite
	v = 432 e = 576 f = 120
	degree seq :: [ 2^288, 4^144 ]

E13.1622 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 12})
Quotient :: dipole
Aut^+ = A4 x S4 (small group id <288, 1024>)
Aut   = $<576, 8653>$ (small group id <576, 8653>)
|r| :: 2
Presentation :: [ Y2, R^2, Y3^2, R * Y2 * R * Y2^-1, (R * Y3)^2, (Y3 * Y2^-1)^2, (R * Y1)^2, (Y3 * Y1^-1)^3, (Y1^-2 * Y3 * Y1^2 * Y3)^2, Y1^12 ]
Map:: polytopal
	R = (1, 289, 2, 290, 5, 293, 11, 299, 21, 309, 37, 325, 63, 351, 62, 350, 36, 324, 20, 308, 10, 298, 4, 292)(3, 291, 7, 295, 15, 303, 27, 315, 47, 335, 79, 367, 123, 411, 90, 378, 54, 342, 31, 319, 17, 305, 8, 296)(6, 294, 13, 301, 25, 313, 43, 331, 73, 361, 115, 403, 168, 456, 122, 410, 78, 366, 46, 334, 26, 314, 14, 302)(9, 297, 18, 306, 32, 320, 55, 343, 91, 379, 137, 425, 185, 473, 131, 419, 85, 373, 51, 339, 29, 317, 16, 304)(12, 300, 23, 311, 41, 329, 69, 357, 110, 398, 162, 450, 222, 510, 167, 455, 114, 402, 72, 360, 42, 330, 24, 312)(19, 307, 34, 322, 58, 346, 95, 383, 142, 430, 197, 485, 251, 539, 196, 484, 141, 429, 94, 382, 57, 345, 33, 321)(22, 310, 39, 327, 67, 355, 106, 394, 157, 445, 216, 504, 268, 556, 221, 509, 161, 449, 109, 397, 68, 356, 40, 328)(28, 316, 49, 337, 83, 371, 128, 416, 181, 469, 241, 529, 257, 545, 209, 497, 159, 447, 107, 395, 71, 359, 50, 338)(30, 318, 52, 340, 86, 374, 132, 420, 186, 474, 244, 532, 258, 546, 213, 501, 154, 442, 108, 396, 75, 363, 44, 332)(35, 323, 60, 348, 97, 385, 144, 432, 200, 488, 253, 541, 272, 560, 223, 511, 199, 487, 143, 431, 96, 384, 59, 347)(38, 326, 65, 353, 104, 392, 153, 441, 211, 499, 184, 472, 242, 530, 267, 555, 215, 503, 156, 444, 105, 393, 66, 354)(45, 333, 76, 364, 56, 344, 93, 381, 140, 428, 195, 483, 250, 538, 261, 549, 208, 496, 155, 443, 112, 400, 70, 358)(48, 336, 81, 369, 113, 401, 165, 453, 212, 500, 264, 552, 284, 572, 279, 567, 240, 528, 180, 468, 127, 415, 82, 370)(53, 341, 88, 376, 111, 399, 164, 452, 214, 502, 265, 553, 283, 571, 280, 568, 246, 534, 187, 475, 133, 421, 87, 375)(61, 349, 99, 387, 146, 434, 202, 490, 254, 542, 270, 558, 230, 518, 169, 457, 229, 517, 201, 489, 145, 433, 98, 386)(64, 352, 102, 390, 151, 439, 207, 495, 189, 477, 136, 424, 190, 478, 247, 535, 263, 551, 210, 498, 152, 440, 103, 391)(74, 362, 117, 405, 160, 448, 219, 507, 260, 548, 285, 573, 278, 566, 238, 526, 182, 470, 129, 417, 84, 372, 118, 406)(77, 365, 120, 408, 158, 446, 218, 506, 262, 550, 286, 574, 282, 570, 245, 533, 194, 482, 139, 427, 92, 380, 119, 407)(80, 368, 125, 413, 178, 466, 217, 505, 172, 460, 121, 409, 173, 461, 232, 520, 266, 554, 239, 527, 179, 467, 126, 414)(89, 377, 135, 423, 188, 476, 220, 508, 269, 557, 249, 537, 193, 481, 138, 426, 192, 480, 224, 512, 163, 451, 134, 422)(100, 388, 148, 436, 204, 492, 255, 543, 274, 562, 227, 515, 177, 465, 124, 412, 176, 464, 237, 525, 203, 491, 147, 435)(101, 389, 149, 437, 205, 493, 256, 544, 233, 521, 174, 462, 234, 522, 191, 479, 248, 536, 259, 547, 206, 494, 150, 438)(116, 404, 170, 458, 130, 418, 183, 471, 225, 513, 166, 454, 226, 514, 273, 561, 252, 540, 198, 486, 231, 519, 171, 459)(175, 463, 235, 523, 271, 559, 288, 576, 281, 569, 243, 531, 276, 564, 228, 516, 275, 563, 287, 575, 277, 565, 236, 524)(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, 660)(52, 663)(53, 607)(54, 665)(55, 668)(56, 608)(57, 669)(58, 662)(59, 610)(60, 674)(61, 612)(62, 676)(63, 677)(64, 613)(65, 616)(66, 678)(67, 683)(68, 684)(69, 687)(70, 617)(71, 618)(72, 689)(73, 692)(74, 619)(75, 693)(76, 695)(77, 622)(78, 697)(79, 700)(80, 623)(81, 626)(82, 701)(83, 705)(84, 627)(85, 706)(86, 634)(87, 628)(88, 710)(89, 630)(90, 712)(91, 714)(92, 631)(93, 633)(94, 703)(95, 709)(96, 708)(97, 704)(98, 636)(99, 723)(100, 638)(101, 639)(102, 642)(103, 725)(104, 730)(105, 731)(106, 734)(107, 643)(108, 644)(109, 736)(110, 739)(111, 645)(112, 740)(113, 648)(114, 742)(115, 745)(116, 649)(117, 651)(118, 746)(119, 652)(120, 748)(121, 654)(122, 750)(123, 751)(124, 655)(125, 658)(126, 752)(127, 670)(128, 673)(129, 659)(130, 661)(131, 760)(132, 672)(133, 671)(134, 664)(135, 765)(136, 666)(137, 767)(138, 667)(139, 768)(140, 756)(141, 754)(142, 774)(143, 770)(144, 758)(145, 757)(146, 771)(147, 675)(148, 726)(149, 679)(150, 724)(151, 784)(152, 785)(153, 788)(154, 680)(155, 681)(156, 790)(157, 793)(158, 682)(159, 794)(160, 685)(161, 796)(162, 799)(163, 686)(164, 688)(165, 801)(166, 690)(167, 803)(168, 804)(169, 691)(170, 694)(171, 805)(172, 696)(173, 809)(174, 698)(175, 699)(176, 702)(177, 811)(178, 717)(179, 814)(180, 716)(181, 721)(182, 720)(183, 787)(184, 707)(185, 819)(186, 821)(187, 807)(188, 795)(189, 711)(190, 812)(191, 713)(192, 715)(193, 824)(194, 719)(195, 722)(196, 792)(197, 823)(198, 718)(199, 800)(200, 815)(201, 822)(202, 816)(203, 826)(204, 820)(205, 833)(206, 834)(207, 836)(208, 727)(209, 728)(210, 838)(211, 759)(212, 729)(213, 840)(214, 732)(215, 842)(216, 772)(217, 733)(218, 735)(219, 764)(220, 737)(221, 846)(222, 847)(223, 738)(224, 775)(225, 741)(226, 850)(227, 743)(228, 744)(229, 747)(230, 851)(231, 763)(232, 841)(233, 749)(234, 852)(235, 753)(236, 766)(237, 854)(238, 755)(239, 776)(240, 778)(241, 856)(242, 857)(243, 761)(244, 780)(245, 762)(246, 777)(247, 773)(248, 769)(249, 855)(250, 779)(251, 853)(252, 839)(253, 843)(254, 845)(255, 858)(256, 859)(257, 781)(258, 782)(259, 860)(260, 783)(261, 861)(262, 786)(263, 828)(264, 789)(265, 808)(266, 791)(267, 829)(268, 863)(269, 830)(270, 797)(271, 798)(272, 864)(273, 862)(274, 802)(275, 806)(276, 810)(277, 827)(278, 813)(279, 825)(280, 817)(281, 818)(282, 831)(283, 832)(284, 835)(285, 837)(286, 849)(287, 844)(288, 848)(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 ) }
Outer automorphisms :: reflexible
Dual of E13.1619
Graph:: simple bipartite
	v = 312 e = 576 f = 240
	degree seq :: [ 2^288, 24^24 ]

E13.1623 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 12})
Quotient :: dipole
Aut^+ = A4 x S4 (small group id <288, 1024>)
Aut   = $<576, 8653>$ (small group id <576, 8653>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, (Y2^-1 * Y1)^3, (Y3 * Y2^-1)^3, (Y2^-1 * Y1 * Y2^2 * Y1 * Y2^-1)^2, Y2^12, (Y2^5 * Y1)^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, 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, 79, 367)(49, 337, 82, 370)(51, 339, 67, 355)(52, 340, 86, 374)(54, 342, 89, 377)(55, 343, 91, 379)(57, 345, 93, 381)(59, 347, 75, 363)(60, 348, 97, 385)(62, 350, 100, 388)(63, 351, 101, 389)(65, 353, 104, 392)(68, 356, 108, 396)(70, 358, 111, 399)(71, 359, 113, 401)(73, 361, 115, 403)(76, 364, 119, 407)(78, 366, 122, 410)(80, 368, 120, 408)(81, 369, 125, 413)(83, 371, 127, 415)(84, 372, 107, 395)(85, 373, 106, 394)(87, 375, 114, 402)(88, 376, 133, 421)(90, 378, 136, 424)(92, 380, 109, 397)(94, 382, 140, 428)(95, 383, 118, 406)(96, 384, 117, 405)(98, 386, 102, 390)(99, 387, 146, 434)(103, 391, 151, 439)(105, 393, 153, 441)(110, 398, 159, 447)(112, 400, 162, 450)(116, 404, 166, 454)(121, 409, 172, 460)(123, 411, 171, 459)(124, 412, 170, 458)(126, 414, 177, 465)(128, 416, 180, 468)(129, 417, 178, 466)(130, 418, 182, 470)(131, 419, 164, 452)(132, 420, 163, 451)(134, 422, 175, 463)(135, 423, 188, 476)(137, 425, 158, 446)(138, 426, 157, 445)(139, 427, 193, 481)(141, 429, 196, 484)(142, 430, 194, 482)(143, 431, 198, 486)(144, 432, 150, 438)(145, 433, 149, 437)(147, 435, 191, 479)(148, 436, 190, 478)(152, 440, 207, 495)(154, 442, 210, 498)(155, 443, 208, 496)(156, 444, 212, 500)(160, 448, 205, 493)(161, 449, 218, 506)(165, 453, 223, 511)(167, 455, 226, 514)(168, 456, 224, 512)(169, 457, 228, 516)(173, 461, 221, 509)(174, 462, 220, 508)(176, 464, 236, 524)(179, 467, 238, 526)(181, 469, 214, 502)(183, 471, 219, 507)(184, 472, 211, 499)(185, 473, 233, 521)(186, 474, 235, 523)(187, 475, 231, 519)(189, 477, 213, 501)(192, 480, 241, 529)(195, 483, 250, 538)(197, 485, 230, 518)(199, 487, 234, 522)(200, 488, 227, 515)(201, 489, 217, 505)(202, 490, 248, 536)(203, 491, 215, 503)(204, 492, 229, 517)(206, 494, 257, 545)(209, 497, 259, 547)(216, 504, 256, 544)(222, 510, 262, 550)(225, 513, 271, 559)(232, 520, 269, 557)(237, 525, 266, 554)(239, 527, 274, 562)(240, 528, 261, 549)(242, 530, 267, 555)(243, 531, 272, 560)(244, 532, 265, 553)(245, 533, 258, 546)(246, 534, 263, 551)(247, 535, 270, 558)(249, 537, 268, 556)(251, 539, 264, 552)(252, 540, 276, 564)(253, 541, 260, 548)(254, 542, 275, 563)(255, 543, 273, 561)(277, 565, 283, 571)(278, 566, 285, 573)(279, 567, 284, 572)(280, 568, 288, 576)(281, 569, 287, 575)(282, 570, 286, 574)(577, 865, 579, 867, 584, 872, 593, 881, 607, 895, 630, 918, 666, 954, 638, 926, 612, 900, 596, 884, 586, 874, 580, 868)(578, 866, 581, 869, 588, 876, 599, 887, 617, 905, 646, 934, 688, 976, 654, 942, 622, 910, 602, 890, 590, 878, 582, 870)(583, 871, 589, 877, 600, 888, 619, 907, 649, 937, 692, 980, 743, 1031, 704, 992, 659, 947, 625, 913, 604, 892, 591, 879)(585, 873, 594, 882, 609, 897, 633, 921, 670, 958, 717, 1005, 730, 1018, 681, 969, 641, 929, 614, 902, 597, 885, 587, 875)(592, 880, 603, 891, 623, 911, 656, 944, 700, 988, 752, 1040, 813, 1101, 759, 1047, 706, 994, 661, 949, 627, 915, 605, 893)(595, 883, 610, 898, 635, 923, 672, 960, 719, 1007, 775, 1063, 825, 1113, 768, 1056, 714, 1002, 668, 956, 631, 919, 608, 896)(598, 886, 613, 901, 639, 927, 678, 966, 726, 1014, 782, 1070, 834, 1122, 789, 1077, 732, 1020, 683, 971, 643, 931, 615, 903)(601, 889, 620, 908, 651, 939, 694, 982, 745, 1033, 805, 1093, 846, 1134, 798, 1086, 740, 1028, 690, 978, 647, 935, 618, 906)(606, 894, 626, 914, 660, 948, 705, 993, 757, 1045, 817, 1105, 856, 1144, 819, 1107, 761, 1049, 708, 996, 663, 951, 628, 916)(611, 899, 636, 924, 674, 962, 721, 1009, 777, 1065, 829, 1117, 854, 1142, 812, 1100, 773, 1061, 718, 1006, 671, 959, 634, 922)(616, 904, 642, 930, 682, 970, 731, 1019, 787, 1075, 838, 1126, 862, 1150, 840, 1128, 791, 1079, 734, 1022, 685, 973, 644, 932)(621, 909, 652, 940, 696, 984, 747, 1035, 807, 1095, 850, 1138, 860, 1148, 833, 1121, 803, 1091, 744, 1032, 693, 981, 650, 938)(624, 912, 657, 945, 632, 920, 667, 955, 713, 1001, 767, 1055, 824, 1112, 853, 1141, 811, 1099, 751, 1039, 699, 987, 655, 943)(629, 917, 662, 950, 707, 995, 760, 1048, 783, 1071, 729, 1017, 785, 1073, 836, 1124, 820, 1108, 763, 1051, 710, 998, 664, 952)(637, 925, 675, 963, 723, 1011, 779, 1067, 830, 1118, 848, 1136, 801, 1089, 742, 1030, 799, 1087, 776, 1064, 720, 1008, 673, 961)(640, 928, 679, 967, 648, 936, 689, 977, 739, 1027, 797, 1085, 845, 1133, 859, 1147, 832, 1120, 781, 1069, 725, 1013, 677, 965)(645, 933, 684, 972, 733, 1021, 790, 1078, 753, 1041, 703, 991, 755, 1043, 815, 1103, 841, 1129, 793, 1081, 736, 1024, 686, 974)(653, 941, 697, 985, 749, 1037, 809, 1097, 851, 1139, 827, 1115, 771, 1059, 716, 1004, 769, 1057, 806, 1094, 746, 1034, 695, 983)(658, 946, 702, 990, 754, 1042, 788, 1076, 839, 1127, 863, 1151, 849, 1137, 804, 1092, 770, 1058, 715, 1003, 669, 957, 701, 989)(665, 953, 709, 997, 762, 1050, 808, 1096, 748, 1036, 698, 986, 750, 1038, 810, 1098, 852, 1140, 822, 1110, 765, 1053, 711, 999)(676, 964, 724, 1012, 780, 1068, 831, 1119, 843, 1131, 795, 1083, 737, 1025, 687, 975, 735, 1023, 792, 1080, 778, 1066, 722, 1010)(680, 968, 728, 1016, 784, 1072, 758, 1046, 818, 1106, 857, 1145, 828, 1116, 774, 1062, 800, 1088, 741, 1029, 691, 979, 727, 1015)(712, 1000, 764, 1052, 821, 1109, 855, 1143, 814, 1102, 756, 1044, 816, 1104, 772, 1060, 826, 1114, 858, 1146, 823, 1111, 766, 1054)(738, 1026, 794, 1082, 842, 1130, 861, 1149, 835, 1123, 786, 1074, 837, 1125, 802, 1090, 847, 1135, 864, 1152, 844, 1132, 796, 1084)
	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, 655)(48, 604)(49, 658)(50, 605)(51, 643)(52, 662)(53, 607)(54, 665)(55, 667)(56, 609)(57, 669)(58, 610)(59, 651)(60, 673)(61, 612)(62, 676)(63, 677)(64, 614)(65, 680)(66, 615)(67, 627)(68, 684)(69, 617)(70, 687)(71, 689)(72, 619)(73, 691)(74, 620)(75, 635)(76, 695)(77, 622)(78, 698)(79, 623)(80, 696)(81, 701)(82, 625)(83, 703)(84, 683)(85, 682)(86, 628)(87, 690)(88, 709)(89, 630)(90, 712)(91, 631)(92, 685)(93, 633)(94, 716)(95, 694)(96, 693)(97, 636)(98, 678)(99, 722)(100, 638)(101, 639)(102, 674)(103, 727)(104, 641)(105, 729)(106, 661)(107, 660)(108, 644)(109, 668)(110, 735)(111, 646)(112, 738)(113, 647)(114, 663)(115, 649)(116, 742)(117, 672)(118, 671)(119, 652)(120, 656)(121, 748)(122, 654)(123, 747)(124, 746)(125, 657)(126, 753)(127, 659)(128, 756)(129, 754)(130, 758)(131, 740)(132, 739)(133, 664)(134, 751)(135, 764)(136, 666)(137, 734)(138, 733)(139, 769)(140, 670)(141, 772)(142, 770)(143, 774)(144, 726)(145, 725)(146, 675)(147, 767)(148, 766)(149, 721)(150, 720)(151, 679)(152, 783)(153, 681)(154, 786)(155, 784)(156, 788)(157, 714)(158, 713)(159, 686)(160, 781)(161, 794)(162, 688)(163, 708)(164, 707)(165, 799)(166, 692)(167, 802)(168, 800)(169, 804)(170, 700)(171, 699)(172, 697)(173, 797)(174, 796)(175, 710)(176, 812)(177, 702)(178, 705)(179, 814)(180, 704)(181, 790)(182, 706)(183, 795)(184, 787)(185, 809)(186, 811)(187, 807)(188, 711)(189, 789)(190, 724)(191, 723)(192, 817)(193, 715)(194, 718)(195, 826)(196, 717)(197, 806)(198, 719)(199, 810)(200, 803)(201, 793)(202, 824)(203, 791)(204, 805)(205, 736)(206, 833)(207, 728)(208, 731)(209, 835)(210, 730)(211, 760)(212, 732)(213, 765)(214, 757)(215, 779)(216, 832)(217, 777)(218, 737)(219, 759)(220, 750)(221, 749)(222, 838)(223, 741)(224, 744)(225, 847)(226, 743)(227, 776)(228, 745)(229, 780)(230, 773)(231, 763)(232, 845)(233, 761)(234, 775)(235, 762)(236, 752)(237, 842)(238, 755)(239, 850)(240, 837)(241, 768)(242, 843)(243, 848)(244, 841)(245, 834)(246, 839)(247, 846)(248, 778)(249, 844)(250, 771)(251, 840)(252, 852)(253, 836)(254, 851)(255, 849)(256, 792)(257, 782)(258, 821)(259, 785)(260, 829)(261, 816)(262, 798)(263, 822)(264, 827)(265, 820)(266, 813)(267, 818)(268, 825)(269, 808)(270, 823)(271, 801)(272, 819)(273, 831)(274, 815)(275, 830)(276, 828)(277, 859)(278, 861)(279, 860)(280, 864)(281, 863)(282, 862)(283, 853)(284, 855)(285, 854)(286, 858)(287, 857)(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, 6, 2, 6 ), ( 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 E13.1624
Graph:: bipartite
	v = 168 e = 576 f = 384
	degree seq :: [ 4^144, 24^24 ]

E13.1624 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 12})
Quotient :: dipole
Aut^+ = A4 x S4 (small group id <288, 1024>)
Aut   = $<576, 8653>$ (small group id <576, 8653>)
|r| :: 2
Presentation :: [ Y2, R^2, Y1^3, (Y1 * Y3)^2, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, Y3^2 * Y1^-1 * Y3^-2 * Y1 * Y3^3 * Y1^-1 * Y3 * Y1^-1, (Y3 * Y1^-1 * Y3^3)^3, (Y3 * Y2^-1)^12 ]
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, 57, 345, 55, 343)(34, 322, 61, 349, 59, 347)(35, 323, 63, 351, 39, 327)(37, 325, 66, 354, 68, 356)(40, 328, 60, 348, 72, 360)(41, 329, 73, 361, 75, 363)(43, 331, 46, 334, 78, 366)(44, 332, 79, 367, 52, 340)(48, 336, 85, 373, 83, 371)(50, 338, 88, 376, 90, 378)(53, 341, 56, 344, 94, 382)(54, 342, 95, 383, 76, 364)(58, 346, 101, 389, 99, 387)(62, 350, 107, 395, 105, 393)(64, 352, 91, 379, 87, 375)(65, 353, 96, 384, 69, 357)(67, 355, 112, 400, 114, 402)(70, 358, 109, 397, 118, 406)(71, 359, 97, 385, 100, 388)(74, 362, 122, 410, 124, 412)(77, 365, 103, 391, 106, 394)(80, 368, 125, 413, 121, 409)(81, 369, 84, 372, 93, 381)(82, 370, 131, 419, 128, 416)(86, 374, 137, 425, 135, 423)(89, 377, 139, 427, 141, 429)(92, 380, 129, 417, 145, 433)(98, 386, 150, 438, 147, 435)(102, 390, 156, 444, 154, 442)(104, 392, 157, 445, 120, 408)(108, 396, 163, 451, 161, 449)(110, 398, 166, 454, 143, 431)(111, 399, 158, 446, 115, 403)(113, 401, 169, 457, 170, 458)(116, 404, 149, 437, 174, 462)(117, 405, 159, 447, 162, 450)(119, 407, 153, 441, 178, 466)(123, 411, 181, 469, 182, 470)(126, 414, 148, 436, 186, 474)(127, 415, 160, 448, 188, 476)(130, 418, 191, 479, 184, 472)(132, 420, 142, 430, 138, 426)(133, 421, 136, 424, 144, 432)(134, 422, 195, 483, 146, 434)(140, 428, 201, 489, 202, 490)(151, 439, 183, 471, 180, 468)(152, 440, 155, 443, 185, 473)(164, 452, 223, 511, 221, 509)(165, 453, 224, 512, 176, 464)(167, 455, 228, 516, 226, 514)(168, 456, 225, 513, 171, 459)(172, 460, 218, 506, 233, 521)(173, 461, 205, 493, 227, 515)(175, 463, 204, 492, 194, 482)(177, 465, 237, 525, 238, 526)(179, 467, 217, 505, 240, 528)(187, 475, 244, 532, 246, 534)(189, 477, 193, 481, 248, 536)(190, 478, 249, 537, 207, 495)(192, 480, 252, 540, 251, 539)(196, 484, 214, 502, 219, 507)(197, 485, 199, 487, 247, 535)(198, 486, 213, 501, 206, 494)(200, 488, 250, 538, 203, 491)(208, 496, 255, 543, 262, 550)(209, 497, 212, 500, 264, 552)(210, 498, 265, 553, 243, 531)(211, 499, 267, 555, 234, 522)(215, 503, 216, 504, 263, 551)(220, 508, 222, 510, 239, 527)(229, 517, 258, 546, 257, 545)(230, 518, 261, 549, 231, 519)(232, 520, 259, 547, 269, 557)(235, 523, 254, 542, 270, 558)(236, 524, 275, 563, 268, 556)(241, 529, 266, 554, 242, 530)(245, 533, 273, 561, 274, 562)(253, 541, 284, 572, 287, 575)(256, 544, 278, 566, 272, 560)(260, 548, 283, 571, 271, 559)(276, 564, 277, 565, 280, 568)(279, 567, 286, 574, 285, 573)(281, 569, 288, 576, 282, 570)(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, 635)(34, 593)(35, 594)(36, 596)(37, 643)(38, 645)(39, 646)(40, 647)(41, 650)(42, 652)(43, 653)(44, 600)(45, 657)(46, 601)(47, 659)(48, 602)(49, 604)(50, 665)(51, 667)(52, 668)(53, 669)(54, 606)(55, 673)(56, 607)(57, 675)(58, 608)(59, 679)(60, 609)(61, 681)(62, 610)(63, 663)(64, 611)(65, 612)(66, 614)(67, 689)(68, 691)(69, 692)(70, 693)(71, 695)(72, 696)(73, 618)(74, 699)(75, 701)(76, 702)(77, 703)(78, 704)(79, 697)(80, 620)(81, 670)(82, 622)(83, 709)(84, 623)(85, 711)(86, 624)(87, 625)(88, 627)(89, 716)(90, 718)(91, 719)(92, 720)(93, 722)(94, 723)(95, 641)(96, 630)(97, 648)(98, 632)(99, 728)(100, 633)(101, 730)(102, 634)(103, 654)(104, 636)(105, 735)(106, 637)(107, 737)(108, 638)(109, 639)(110, 640)(111, 642)(112, 644)(113, 662)(114, 747)(115, 748)(116, 749)(117, 751)(118, 752)(119, 753)(120, 755)(121, 649)(122, 651)(123, 740)(124, 759)(125, 760)(126, 761)(127, 763)(128, 765)(129, 655)(130, 656)(131, 714)(132, 658)(133, 721)(134, 660)(135, 773)(136, 661)(137, 746)(138, 664)(139, 666)(140, 678)(141, 779)(142, 780)(143, 781)(144, 782)(145, 783)(146, 784)(147, 785)(148, 671)(149, 672)(150, 756)(151, 674)(152, 762)(153, 676)(154, 791)(155, 677)(156, 778)(157, 687)(158, 680)(159, 694)(160, 682)(161, 796)(162, 683)(163, 797)(164, 684)(165, 685)(166, 802)(167, 686)(168, 688)(169, 690)(170, 807)(171, 808)(172, 731)(173, 767)(174, 810)(175, 811)(176, 812)(177, 805)(178, 772)(179, 815)(180, 698)(181, 700)(182, 818)(183, 774)(184, 803)(185, 809)(186, 819)(187, 821)(188, 790)(189, 823)(190, 705)(191, 827)(192, 706)(193, 707)(194, 708)(195, 795)(196, 710)(197, 824)(198, 712)(199, 713)(200, 715)(201, 717)(202, 834)(203, 832)(204, 738)(205, 750)(206, 835)(207, 836)(208, 837)(209, 839)(210, 724)(211, 725)(212, 726)(213, 727)(214, 729)(215, 840)(216, 732)(217, 733)(218, 734)(219, 736)(220, 816)(221, 849)(222, 739)(223, 758)(224, 744)(225, 741)(226, 852)(227, 742)(228, 833)(229, 743)(230, 745)(231, 838)(232, 798)(233, 854)(234, 855)(235, 842)(236, 856)(237, 754)(238, 858)(239, 845)(240, 859)(241, 757)(242, 846)(243, 860)(244, 764)(245, 768)(246, 862)(247, 848)(248, 863)(249, 776)(250, 766)(251, 864)(252, 850)(253, 769)(254, 770)(255, 771)(256, 775)(257, 777)(258, 814)(259, 801)(260, 857)(261, 787)(262, 853)(263, 830)(264, 851)(265, 817)(266, 786)(267, 806)(268, 788)(269, 789)(270, 792)(271, 793)(272, 794)(273, 822)(274, 799)(275, 800)(276, 844)(277, 804)(278, 826)(279, 829)(280, 831)(281, 813)(282, 828)(283, 825)(284, 861)(285, 820)(286, 843)(287, 841)(288, 847)(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, 24 ), ( 4, 24, 4, 24, 4, 24 ) }
Outer automorphisms :: reflexible
Dual of E13.1623
Graph:: simple bipartite
	v = 384 e = 576 f = 168
	degree seq :: [ 2^288, 6^96 ]

E13.1625 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 3, 10})
Quotient :: regular
Aut^+ = A5 x S3 (small group id <360, 121>)
Aut   = $<720, 771>$ (small group id <720, 771>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, (T2 * T1^-1)^3, T1^10, T1^10, (T1^-2 * T2 * T1^4 * T2)^2, (T2 * T1^-2 * T2 * T1^2 * T2 * T1^-2)^2, T2 * T1 * T2 * T1^-1 * T2 * T1^3 * T2 * T1^2 * T2 * T1^-1 * T2 * T1^2 * T2 * T1^-1 ]
Map:: polyhedral non-degenerate
	R = (1, 2, 5, 11, 21, 37, 36, 20, 10, 4)(3, 7, 15, 27, 47, 77, 54, 31, 17, 8)(6, 13, 25, 43, 71, 114, 76, 46, 26, 14)(9, 18, 32, 55, 89, 134, 84, 51, 29, 16)(12, 23, 41, 67, 108, 169, 113, 70, 42, 24)(19, 34, 58, 94, 148, 224, 147, 93, 57, 33)(22, 39, 65, 104, 163, 244, 168, 107, 66, 40)(28, 49, 81, 128, 198, 236, 161, 131, 82, 50)(30, 52, 85, 135, 207, 237, 184, 118, 73, 44)(35, 60, 97, 153, 230, 298, 229, 152, 96, 59)(38, 63, 102, 159, 239, 306, 243, 162, 103, 64)(45, 74, 119, 185, 154, 232, 258, 173, 110, 68)(48, 79, 126, 194, 282, 327, 284, 197, 127, 80)(53, 87, 138, 212, 277, 308, 240, 211, 137, 86)(56, 91, 144, 219, 241, 160, 106, 166, 145, 92)(61, 99, 156, 234, 301, 339, 300, 233, 155, 98)(62, 100, 157, 235, 302, 340, 305, 238, 158, 101)(69, 111, 174, 151, 95, 150, 227, 248, 165, 105)(72, 116, 181, 266, 228, 281, 196, 269, 182, 117)(75, 121, 188, 276, 321, 342, 303, 275, 187, 120)(78, 124, 193, 280, 326, 341, 322, 262, 177, 125)(83, 132, 203, 287, 213, 247, 164, 246, 200, 129)(88, 140, 215, 293, 333, 344, 312, 245, 214, 139)(90, 142, 217, 271, 304, 343, 335, 295, 218, 143)(109, 171, 255, 220, 146, 222, 268, 319, 256, 172)(112, 176, 261, 320, 351, 332, 290, 208, 260, 175)(115, 179, 265, 223, 296, 336, 352, 316, 251, 180)(122, 190, 141, 216, 294, 334, 346, 307, 278, 189)(123, 191, 252, 317, 345, 359, 355, 325, 279, 192)(130, 201, 259, 210, 136, 209, 291, 318, 257, 195)(133, 205, 288, 330, 348, 310, 254, 170, 253, 204)(149, 225, 286, 202, 242, 309, 347, 337, 297, 226)(167, 250, 315, 350, 338, 299, 231, 272, 314, 249)(178, 263, 311, 349, 358, 356, 331, 289, 206, 264)(183, 270, 221, 274, 186, 273, 199, 285, 313, 267)(283, 328, 357, 360, 354, 324, 292, 329, 353, 323)
	L = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 13)(10, 19)(11, 22)(14, 23)(15, 28)(17, 30)(18, 33)(20, 35)(21, 38)(24, 39)(25, 44)(26, 45)(27, 48)(29, 49)(31, 53)(32, 56)(34, 59)(36, 61)(37, 62)(40, 63)(41, 68)(42, 69)(43, 72)(46, 75)(47, 78)(50, 79)(51, 83)(52, 86)(54, 88)(55, 90)(57, 91)(58, 95)(60, 98)(64, 100)(65, 105)(66, 106)(67, 109)(70, 112)(71, 115)(73, 116)(74, 120)(76, 122)(77, 123)(80, 124)(81, 129)(82, 130)(84, 133)(85, 136)(87, 139)(89, 141)(92, 142)(93, 146)(94, 149)(96, 150)(97, 154)(99, 101)(102, 160)(103, 161)(104, 164)(107, 167)(108, 170)(110, 171)(111, 175)(113, 177)(114, 178)(117, 179)(118, 183)(119, 186)(121, 189)(125, 191)(126, 195)(127, 196)(128, 199)(131, 202)(132, 204)(134, 206)(135, 208)(137, 209)(138, 213)(140, 192)(143, 216)(144, 220)(145, 221)(147, 223)(148, 215)(151, 225)(152, 228)(153, 231)(155, 232)(156, 207)(157, 236)(158, 237)(159, 240)(162, 242)(163, 245)(165, 246)(166, 249)(168, 251)(169, 252)(172, 253)(173, 257)(174, 259)(176, 262)(180, 263)(181, 267)(182, 268)(184, 271)(185, 272)(187, 273)(188, 277)(190, 264)(193, 281)(194, 258)(197, 283)(198, 275)(200, 285)(201, 286)(203, 256)(205, 289)(210, 260)(211, 241)(212, 292)(214, 247)(217, 270)(218, 284)(219, 291)(222, 265)(224, 279)(226, 293)(227, 266)(229, 280)(230, 288)(233, 282)(234, 290)(235, 303)(238, 304)(239, 307)(243, 310)(244, 311)(248, 313)(250, 316)(254, 317)(255, 318)(261, 321)(269, 323)(274, 314)(276, 324)(278, 308)(287, 329)(294, 327)(295, 328)(296, 325)(297, 335)(298, 331)(299, 330)(300, 334)(301, 336)(302, 341)(305, 344)(306, 345)(309, 348)(312, 349)(315, 351)(319, 353)(320, 354)(322, 342)(326, 356)(332, 352)(333, 343)(337, 357)(338, 347)(339, 355)(340, 358)(346, 359)(350, 360)
	local type(s) :: { ( 3^10 ) }
Outer automorphisms :: reflexible
Dual of E13.1626
Transitivity :: ET+ VT+ AT+ REG+
Graph:: simple
	v = 36 e = 180 f = 120
	degree seq :: [ 10^36 ]

E13.1626 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 3, 10})
Quotient :: regular
Aut^+ = A5 x S3 (small group id <360, 121>)
Aut   = $<720, 771>$ (small group id <720, 771>)
|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^-1)^2, (T1^-1 * T2)^10, (T2 * T1 * T2 * T1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1)^2 ]
Map:: polyhedral non-degenerate
	R = (1, 2, 4)(3, 6, 7)(5, 9, 10)(8, 13, 14)(11, 17, 18)(12, 19, 20)(15, 23, 24)(16, 25, 26)(21, 31, 32)(22, 33, 34)(27, 39, 40)(28, 41, 42)(29, 43, 44)(30, 45, 46)(35, 51, 52)(36, 53, 54)(37, 55, 56)(38, 57, 58)(47, 67, 68)(48, 69, 70)(49, 71, 72)(50, 73, 74)(59, 83, 84)(60, 85, 86)(61, 87, 88)(62, 89, 90)(63, 91, 92)(64, 93, 94)(65, 95, 96)(66, 97, 98)(75, 107, 108)(76, 109, 110)(77, 111, 112)(78, 113, 114)(79, 115, 116)(80, 117, 118)(81, 119, 120)(82, 121, 122)(99, 139, 140)(100, 141, 142)(101, 143, 144)(102, 145, 146)(103, 147, 148)(104, 149, 150)(105, 151, 152)(106, 153, 154)(123, 171, 172)(124, 173, 174)(125, 175, 166)(126, 176, 177)(127, 178, 168)(128, 179, 160)(129, 180, 164)(130, 181, 182)(131, 183, 184)(132, 185, 186)(133, 187, 165)(134, 188, 189)(135, 190, 191)(136, 192, 193)(137, 194, 195)(138, 196, 155)(156, 207, 208)(157, 209, 203)(158, 210, 211)(159, 212, 205)(161, 213, 202)(162, 214, 215)(163, 216, 217)(167, 218, 219)(169, 220, 221)(170, 222, 197)(198, 243, 244)(199, 245, 246)(200, 247, 248)(201, 249, 250)(204, 251, 252)(206, 253, 254)(223, 264, 263)(224, 271, 239)(225, 272, 273)(226, 274, 241)(227, 261, 238)(228, 275, 256)(229, 255, 276)(230, 277, 278)(231, 279, 280)(232, 270, 233)(234, 281, 282)(235, 267, 258)(236, 283, 284)(237, 285, 286)(240, 287, 266)(242, 288, 289)(257, 295, 269)(259, 296, 291)(260, 290, 297)(262, 298, 299)(265, 300, 301)(268, 302, 294)(292, 315, 316)(293, 317, 318)(303, 327, 309)(304, 328, 311)(305, 310, 329)(306, 330, 325)(307, 331, 323)(308, 332, 314)(312, 333, 334)(313, 335, 336)(319, 324, 339)(320, 340, 338)(321, 341, 337)(322, 342, 326)(343, 347, 353)(344, 355, 350)(345, 351, 349)(346, 356, 348)(352, 357, 354)(358, 360, 359)
	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, 197)(140, 198)(141, 188)(142, 199)(143, 192)(144, 179)(145, 185)(146, 200)(147, 201)(148, 202)(149, 187)(150, 203)(151, 204)(152, 205)(153, 206)(154, 171)(172, 223)(173, 224)(174, 225)(175, 226)(176, 227)(177, 228)(178, 229)(180, 230)(181, 231)(182, 232)(183, 233)(184, 234)(186, 235)(189, 236)(190, 237)(191, 238)(193, 239)(194, 240)(195, 241)(196, 242)(207, 255)(208, 256)(209, 257)(210, 258)(211, 259)(212, 260)(213, 261)(214, 262)(215, 263)(216, 264)(217, 265)(218, 266)(219, 267)(220, 268)(221, 269)(222, 270)(243, 290)(244, 291)(245, 278)(246, 272)(247, 292)(248, 289)(249, 288)(250, 293)(251, 294)(252, 277)(253, 285)(254, 284)(271, 303)(273, 304)(274, 305)(275, 306)(276, 307)(279, 308)(280, 309)(281, 310)(282, 311)(283, 312)(286, 313)(287, 314)(295, 319)(296, 320)(297, 321)(298, 322)(299, 323)(300, 324)(301, 325)(302, 326)(315, 335)(316, 337)(317, 333)(318, 338)(327, 343)(328, 344)(329, 345)(330, 346)(331, 347)(332, 348)(334, 349)(336, 350)(339, 351)(340, 352)(341, 353)(342, 354)(355, 358)(356, 359)(357, 360)
	local type(s) :: { ( 10^3 ) }
Outer automorphisms :: reflexible
Dual of E13.1625
Transitivity :: ET+ VT+ AT+ REG+
Graph:: simple bipartite
	v = 120 e = 180 f = 36
	degree seq :: [ 3^120 ]

E13.1627 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 3, 10})
Quotient :: edge
Aut^+ = A5 x S3 (small group id <360, 121>)
Aut   = $<720, 771>$ (small group id <720, 771>)
|r| :: 2
Presentation :: [ T1^2, F^2, T2^3, (F * T1)^2, (F * T2)^2, (T1 * T2 * T1 * T2 * T1 * T2^-1 * T1 * T2 * T1 * T2^-1)^2, (T2^-1 * T1)^10, (T1 * T2 * T1 * T2 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1)^2 ]
Map:: polytopal
	R = (1, 3, 4)(2, 5, 6)(7, 11, 12)(8, 13, 14)(9, 15, 16)(10, 17, 18)(19, 27, 28)(20, 29, 30)(21, 31, 32)(22, 33, 34)(23, 35, 36)(24, 37, 38)(25, 39, 40)(26, 41, 42)(43, 59, 60)(44, 61, 62)(45, 63, 64)(46, 65, 66)(47, 67, 68)(48, 69, 70)(49, 71, 72)(50, 73, 74)(51, 75, 76)(52, 77, 78)(53, 79, 80)(54, 81, 82)(55, 83, 84)(56, 85, 86)(57, 87, 88)(58, 89, 90)(91, 123, 124)(92, 125, 126)(93, 127, 128)(94, 129, 130)(95, 131, 132)(96, 133, 134)(97, 135, 136)(98, 137, 138)(99, 139, 140)(100, 141, 142)(101, 143, 144)(102, 145, 146)(103, 147, 148)(104, 149, 150)(105, 151, 152)(106, 153, 154)(107, 155, 156)(108, 157, 158)(109, 159, 160)(110, 161, 162)(111, 163, 164)(112, 165, 166)(113, 167, 168)(114, 169, 170)(115, 171, 172)(116, 173, 174)(117, 175, 176)(118, 177, 178)(119, 179, 180)(120, 181, 182)(121, 183, 184)(122, 185, 186)(187, 227, 228)(188, 229, 203)(189, 230, 231)(190, 232, 205)(191, 233, 202)(192, 234, 235)(193, 236, 237)(194, 238, 239)(195, 240, 241)(196, 242, 197)(198, 243, 244)(199, 245, 246)(200, 247, 248)(201, 249, 250)(204, 251, 252)(206, 253, 254)(207, 255, 256)(208, 257, 223)(209, 258, 259)(210, 260, 225)(211, 261, 222)(212, 262, 263)(213, 264, 265)(214, 266, 267)(215, 268, 269)(216, 270, 217)(218, 271, 272)(219, 273, 274)(220, 275, 276)(221, 277, 278)(224, 279, 280)(226, 281, 282)(283, 307, 289)(284, 308, 291)(285, 290, 309)(286, 310, 311)(287, 312, 313)(288, 314, 294)(292, 315, 316)(293, 317, 318)(295, 319, 301)(296, 320, 303)(297, 302, 321)(298, 322, 323)(299, 324, 325)(300, 326, 306)(304, 327, 328)(305, 329, 330)(331, 335, 347)(332, 348, 338)(333, 349, 337)(334, 350, 336)(339, 343, 351)(340, 352, 346)(341, 353, 345)(342, 354, 344)(355, 359, 356)(357, 360, 358)(361, 362)(363, 367)(364, 368)(365, 369)(366, 370)(371, 379)(372, 380)(373, 381)(374, 382)(375, 383)(376, 384)(377, 385)(378, 386)(387, 403)(388, 404)(389, 405)(390, 406)(391, 407)(392, 408)(393, 409)(394, 410)(395, 411)(396, 412)(397, 413)(398, 414)(399, 415)(400, 416)(401, 417)(402, 418)(419, 451)(420, 452)(421, 453)(422, 454)(423, 455)(424, 456)(425, 457)(426, 458)(427, 459)(428, 460)(429, 461)(430, 462)(431, 463)(432, 464)(433, 465)(434, 466)(435, 467)(436, 468)(437, 469)(438, 470)(439, 471)(440, 472)(441, 473)(442, 474)(443, 475)(444, 476)(445, 477)(446, 478)(447, 479)(448, 480)(449, 481)(450, 482)(483, 546)(484, 547)(485, 548)(486, 549)(487, 550)(488, 526)(489, 551)(490, 552)(491, 553)(492, 528)(493, 536)(494, 520)(495, 554)(496, 524)(497, 555)(498, 556)(499, 557)(500, 558)(501, 537)(502, 559)(503, 541)(504, 525)(505, 533)(506, 560)(507, 561)(508, 562)(509, 535)(510, 563)(511, 564)(512, 565)(513, 566)(514, 515)(516, 567)(517, 568)(518, 569)(519, 570)(521, 571)(522, 572)(523, 573)(527, 574)(529, 575)(530, 576)(531, 577)(532, 578)(534, 579)(538, 580)(539, 581)(540, 582)(542, 583)(543, 584)(544, 585)(545, 586)(587, 624)(588, 623)(589, 643)(590, 634)(591, 644)(592, 645)(593, 621)(594, 646)(595, 616)(596, 615)(597, 647)(598, 640)(599, 633)(600, 648)(601, 649)(602, 630)(603, 650)(604, 651)(605, 627)(606, 618)(607, 652)(608, 642)(609, 641)(610, 653)(611, 654)(612, 626)(613, 637)(614, 636)(617, 655)(619, 656)(620, 657)(622, 658)(625, 659)(628, 660)(629, 661)(631, 662)(632, 663)(635, 664)(638, 665)(639, 666)(667, 691)(668, 692)(669, 693)(670, 694)(671, 685)(672, 695)(673, 683)(674, 696)(675, 689)(676, 697)(677, 687)(678, 698)(679, 699)(680, 700)(681, 701)(682, 702)(684, 703)(686, 704)(688, 705)(690, 706)(707, 713)(708, 715)(709, 711)(710, 716)(712, 717)(714, 718)(719, 720)
	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) :: { ( 20, 20 ), ( 20^3 ) }
Outer automorphisms :: reflexible
Dual of E13.1631
Transitivity :: ET+
Graph:: simple bipartite
	v = 300 e = 360 f = 36
	degree seq :: [ 2^180, 3^120 ]

E13.1628 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 3, 10})
Quotient :: edge
Aut^+ = A5 x S3 (small group id <360, 121>)
Aut   = $<720, 771>$ (small group id <720, 771>)
|r| :: 2
Presentation :: [ F^2, T1^3, (T2^-1 * T1^-1)^2, (F * T1)^2, (F * T2)^2, (T2 * T1^-2)^2, T2^10, (T2^-2 * T1 * T2^-3 * T1)^2, T1^-1 * T2^3 * T1^-1 * T2^-2 * T1 * T2^4 * T1^-1 * T2^-3, T2 * T1^-1 * T2^-4 * T1 * T2^2 * T1^-1 * T2^5 * T1^-1 ]
Map:: polyhedral non-degenerate
	R = (1, 3, 9, 19, 37, 67, 48, 26, 13, 5)(2, 6, 14, 27, 50, 88, 58, 32, 16, 7)(4, 11, 22, 41, 74, 106, 62, 34, 17, 8)(10, 21, 40, 71, 121, 182, 110, 64, 35, 18)(12, 23, 43, 77, 130, 210, 136, 80, 44, 24)(15, 29, 53, 92, 154, 242, 160, 95, 54, 30)(20, 39, 70, 118, 194, 273, 186, 112, 65, 36)(25, 45, 81, 137, 218, 253, 222, 140, 82, 46)(28, 52, 91, 151, 238, 187, 230, 145, 86, 49)(31, 55, 96, 161, 249, 261, 251, 164, 97, 56)(33, 59, 101, 168, 257, 224, 259, 171, 102, 60)(38, 69, 117, 192, 277, 323, 275, 188, 113, 66)(42, 76, 128, 206, 286, 231, 284, 202, 124, 73)(47, 83, 141, 223, 294, 332, 296, 225, 142, 84)(51, 90, 150, 236, 302, 328, 300, 232, 146, 87)(57, 98, 165, 252, 310, 343, 311, 254, 166, 99)(61, 103, 172, 260, 313, 317, 314, 262, 173, 104)(63, 107, 177, 266, 217, 138, 220, 207, 178, 108)(68, 116, 191, 276, 324, 344, 307, 247, 189, 114)(72, 123, 200, 139, 221, 201, 282, 279, 196, 120)(75, 127, 205, 285, 327, 339, 320, 272, 203, 125)(78, 132, 213, 163, 184, 111, 183, 269, 208, 129)(79, 133, 214, 289, 248, 162, 193, 119, 195, 134)(85, 115, 190, 243, 304, 341, 336, 297, 226, 143)(89, 149, 235, 301, 338, 318, 268, 181, 233, 147)(93, 156, 244, 170, 228, 144, 227, 298, 240, 153)(94, 157, 245, 305, 256, 169, 237, 152, 239, 158)(100, 148, 234, 198, 281, 325, 346, 312, 255, 167)(105, 174, 263, 211, 288, 330, 347, 315, 264, 175)(109, 179, 267, 316, 348, 340, 303, 241, 155, 180)(122, 199, 135, 215, 290, 331, 351, 322, 280, 197)(126, 204, 278, 326, 352, 333, 291, 216, 265, 176)(131, 212, 159, 246, 306, 342, 353, 329, 287, 209)(185, 270, 319, 349, 358, 355, 335, 295, 258, 271)(219, 293, 229, 274, 321, 350, 359, 354, 334, 292)(250, 309, 283, 299, 337, 356, 360, 357, 345, 308)(361, 362, 364)(363, 368, 370)(365, 372, 366)(367, 375, 371)(369, 378, 380)(373, 385, 383)(374, 384, 388)(376, 391, 389)(377, 393, 381)(379, 396, 398)(382, 390, 402)(386, 407, 405)(387, 409, 411)(392, 417, 415)(394, 421, 419)(395, 423, 399)(397, 426, 428)(400, 420, 432)(401, 433, 435)(403, 406, 438)(404, 439, 412)(408, 445, 443)(410, 447, 449)(413, 416, 453)(414, 454, 436)(418, 460, 458)(422, 465, 463)(424, 469, 467)(425, 471, 429)(427, 474, 475)(430, 468, 479)(431, 480, 482)(434, 485, 486)(437, 489, 491)(440, 495, 493)(441, 444, 498)(442, 499, 492)(446, 504, 450)(448, 507, 508)(451, 494, 512)(452, 513, 515)(455, 519, 517)(456, 459, 522)(457, 523, 516)(461, 464, 529)(462, 530, 483)(466, 536, 534)(470, 541, 539)(472, 545, 543)(473, 547, 476)(477, 544, 524)(478, 553, 526)(481, 557, 558)(484, 561, 487)(488, 518, 567)(490, 569, 571)(496, 576, 575)(497, 577, 579)(500, 565, 581)(501, 503, 584)(502, 566, 580)(505, 589, 587)(506, 591, 509)(510, 588, 531)(511, 597, 533)(514, 601, 603)(520, 607, 606)(521, 608, 610)(525, 527, 613)(528, 616, 618)(532, 535, 621)(537, 540, 600)(538, 599, 555)(542, 594, 593)(546, 632, 630)(548, 634, 590)(549, 602, 550)(551, 598, 622)(552, 611, 624)(554, 614, 638)(556, 574, 559)(560, 604, 573)(562, 643, 642)(563, 633, 564)(568, 605, 572)(570, 623, 625)(578, 652, 612)(582, 615, 645)(583, 617, 655)(585, 595, 646)(586, 596, 619)(592, 659, 644)(609, 668, 620)(626, 658, 653)(627, 628, 677)(629, 631, 665)(635, 682, 681)(636, 674, 678)(637, 675, 685)(639, 669, 649)(640, 683, 641)(647, 688, 648)(650, 651, 692)(654, 695, 691)(656, 693, 661)(657, 690, 662)(660, 689, 697)(663, 699, 664)(666, 667, 703)(670, 694, 702)(671, 704, 686)(672, 701, 687)(673, 705, 676)(679, 680, 700)(684, 698, 712)(696, 706, 707)(708, 717, 709)(710, 711, 715)(713, 714, 716)(718, 720, 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) :: { ( 4^3 ), ( 4^10 ) }
Outer automorphisms :: reflexible
Dual of E13.1632
Transitivity :: ET+
Graph:: simple bipartite
	v = 156 e = 360 f = 180
	degree seq :: [ 3^120, 10^36 ]

E13.1629 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 3, 10})
Quotient :: edge
Aut^+ = A5 x S3 (small group id <360, 121>)
Aut   = $<720, 771>$ (small group id <720, 771>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, (T1^-1 * T2)^3, T1^10, T1^10, (T2 * T1^2 * T2 * T1^-4)^2, T2 * T1^2 * T2 * T1^-1 * T2 * T1^2 * T2 * T1^3 * 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, 62)(40, 63)(41, 68)(42, 69)(43, 72)(46, 75)(47, 78)(50, 79)(51, 83)(52, 86)(54, 88)(55, 90)(57, 91)(58, 95)(60, 98)(64, 100)(65, 105)(66, 106)(67, 109)(70, 112)(71, 115)(73, 116)(74, 120)(76, 122)(77, 123)(80, 124)(81, 129)(82, 130)(84, 133)(85, 136)(87, 139)(89, 141)(92, 142)(93, 146)(94, 149)(96, 150)(97, 154)(99, 101)(102, 160)(103, 161)(104, 164)(107, 167)(108, 170)(110, 171)(111, 175)(113, 177)(114, 178)(117, 179)(118, 183)(119, 186)(121, 189)(125, 191)(126, 195)(127, 196)(128, 199)(131, 202)(132, 204)(134, 206)(135, 208)(137, 209)(138, 213)(140, 192)(143, 216)(144, 220)(145, 221)(147, 223)(148, 215)(151, 225)(152, 228)(153, 231)(155, 232)(156, 207)(157, 236)(158, 237)(159, 240)(162, 242)(163, 245)(165, 246)(166, 249)(168, 251)(169, 252)(172, 253)(173, 257)(174, 259)(176, 262)(180, 263)(181, 267)(182, 268)(184, 271)(185, 272)(187, 273)(188, 277)(190, 264)(193, 281)(194, 258)(197, 283)(198, 275)(200, 285)(201, 286)(203, 256)(205, 289)(210, 260)(211, 241)(212, 292)(214, 247)(217, 270)(218, 284)(219, 291)(222, 265)(224, 279)(226, 293)(227, 266)(229, 280)(230, 288)(233, 282)(234, 290)(235, 303)(238, 304)(239, 307)(243, 310)(244, 311)(248, 313)(250, 316)(254, 317)(255, 318)(261, 321)(269, 323)(274, 314)(276, 324)(278, 308)(287, 329)(294, 327)(295, 328)(296, 325)(297, 335)(298, 331)(299, 330)(300, 334)(301, 336)(302, 341)(305, 344)(306, 345)(309, 348)(312, 349)(315, 351)(319, 353)(320, 354)(322, 342)(326, 356)(332, 352)(333, 343)(337, 357)(338, 347)(339, 355)(340, 358)(346, 359)(350, 360)(361, 362, 365, 371, 381, 397, 396, 380, 370, 364)(363, 367, 375, 387, 407, 437, 414, 391, 377, 368)(366, 373, 385, 403, 431, 474, 436, 406, 386, 374)(369, 378, 392, 415, 449, 494, 444, 411, 389, 376)(372, 383, 401, 427, 468, 529, 473, 430, 402, 384)(379, 394, 418, 454, 508, 584, 507, 453, 417, 393)(382, 399, 425, 464, 523, 604, 528, 467, 426, 400)(388, 409, 441, 488, 558, 596, 521, 491, 442, 410)(390, 412, 445, 495, 567, 597, 544, 478, 433, 404)(395, 420, 457, 513, 590, 658, 589, 512, 456, 419)(398, 423, 462, 519, 599, 666, 603, 522, 463, 424)(405, 434, 479, 545, 514, 592, 618, 533, 470, 428)(408, 439, 486, 554, 642, 687, 644, 557, 487, 440)(413, 447, 498, 572, 637, 668, 600, 571, 497, 446)(416, 451, 504, 579, 601, 520, 466, 526, 505, 452)(421, 459, 516, 594, 661, 699, 660, 593, 515, 458)(422, 460, 517, 595, 662, 700, 665, 598, 518, 461)(429, 471, 534, 511, 455, 510, 587, 608, 525, 465)(432, 476, 541, 626, 588, 641, 556, 629, 542, 477)(435, 481, 548, 636, 681, 702, 663, 635, 547, 480)(438, 484, 553, 640, 686, 701, 682, 622, 537, 485)(443, 492, 563, 647, 573, 607, 524, 606, 560, 489)(448, 500, 575, 653, 693, 704, 672, 605, 574, 499)(450, 502, 577, 631, 664, 703, 695, 655, 578, 503)(469, 531, 615, 580, 506, 582, 628, 679, 616, 532)(472, 536, 621, 680, 711, 692, 650, 568, 620, 535)(475, 539, 625, 583, 656, 696, 712, 676, 611, 540)(482, 550, 501, 576, 654, 694, 706, 667, 638, 549)(483, 551, 612, 677, 705, 719, 715, 685, 639, 552)(490, 561, 619, 570, 496, 569, 651, 678, 617, 555)(493, 565, 648, 690, 708, 670, 614, 530, 613, 564)(509, 585, 646, 562, 602, 669, 707, 697, 657, 586)(527, 610, 675, 710, 698, 659, 591, 632, 674, 609)(538, 623, 671, 709, 718, 716, 691, 649, 566, 624)(543, 630, 581, 634, 546, 633, 559, 645, 673, 627)(643, 688, 717, 720, 714, 684, 652, 689, 713, 683)
	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) :: { ( 6, 6 ), ( 6^10 ) }
Outer automorphisms :: reflexible
Dual of E13.1630
Transitivity :: ET+
Graph:: simple bipartite
	v = 216 e = 360 f = 120
	degree seq :: [ 2^180, 10^36 ]

E13.1630 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 3, 10})
Quotient :: loop
Aut^+ = A5 x S3 (small group id <360, 121>)
Aut   = $<720, 771>$ (small group id <720, 771>)
|r| :: 2
Presentation :: [ T1^2, F^2, T2^3, (F * T1)^2, (F * T2)^2, (T1 * T2 * T1 * T2 * T1 * T2^-1 * T1 * T2 * T1 * T2^-1)^2, (T2^-1 * T1)^10, (T1 * T2 * T1 * T2 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1)^2 ]
Map::
	R = (1, 361, 3, 363, 4, 364)(2, 362, 5, 365, 6, 366)(7, 367, 11, 371, 12, 372)(8, 368, 13, 373, 14, 374)(9, 369, 15, 375, 16, 376)(10, 370, 17, 377, 18, 378)(19, 379, 27, 387, 28, 388)(20, 380, 29, 389, 30, 390)(21, 381, 31, 391, 32, 392)(22, 382, 33, 393, 34, 394)(23, 383, 35, 395, 36, 396)(24, 384, 37, 397, 38, 398)(25, 385, 39, 399, 40, 400)(26, 386, 41, 401, 42, 402)(43, 403, 59, 419, 60, 420)(44, 404, 61, 421, 62, 422)(45, 405, 63, 423, 64, 424)(46, 406, 65, 425, 66, 426)(47, 407, 67, 427, 68, 428)(48, 408, 69, 429, 70, 430)(49, 409, 71, 431, 72, 432)(50, 410, 73, 433, 74, 434)(51, 411, 75, 435, 76, 436)(52, 412, 77, 437, 78, 438)(53, 413, 79, 439, 80, 440)(54, 414, 81, 441, 82, 442)(55, 415, 83, 443, 84, 444)(56, 416, 85, 445, 86, 446)(57, 417, 87, 447, 88, 448)(58, 418, 89, 449, 90, 450)(91, 451, 123, 483, 124, 484)(92, 452, 125, 485, 126, 486)(93, 453, 127, 487, 128, 488)(94, 454, 129, 489, 130, 490)(95, 455, 131, 491, 132, 492)(96, 456, 133, 493, 134, 494)(97, 457, 135, 495, 136, 496)(98, 458, 137, 497, 138, 498)(99, 459, 139, 499, 140, 500)(100, 460, 141, 501, 142, 502)(101, 461, 143, 503, 144, 504)(102, 462, 145, 505, 146, 506)(103, 463, 147, 507, 148, 508)(104, 464, 149, 509, 150, 510)(105, 465, 151, 511, 152, 512)(106, 466, 153, 513, 154, 514)(107, 467, 155, 515, 156, 516)(108, 468, 157, 517, 158, 518)(109, 469, 159, 519, 160, 520)(110, 470, 161, 521, 162, 522)(111, 471, 163, 523, 164, 524)(112, 472, 165, 525, 166, 526)(113, 473, 167, 527, 168, 528)(114, 474, 169, 529, 170, 530)(115, 475, 171, 531, 172, 532)(116, 476, 173, 533, 174, 534)(117, 477, 175, 535, 176, 536)(118, 478, 177, 537, 178, 538)(119, 479, 179, 539, 180, 540)(120, 480, 181, 541, 182, 542)(121, 481, 183, 543, 184, 544)(122, 482, 185, 545, 186, 546)(187, 547, 227, 587, 228, 588)(188, 548, 229, 589, 203, 563)(189, 549, 230, 590, 231, 591)(190, 550, 232, 592, 205, 565)(191, 551, 233, 593, 202, 562)(192, 552, 234, 594, 235, 595)(193, 553, 236, 596, 237, 597)(194, 554, 238, 598, 239, 599)(195, 555, 240, 600, 241, 601)(196, 556, 242, 602, 197, 557)(198, 558, 243, 603, 244, 604)(199, 559, 245, 605, 246, 606)(200, 560, 247, 607, 248, 608)(201, 561, 249, 609, 250, 610)(204, 564, 251, 611, 252, 612)(206, 566, 253, 613, 254, 614)(207, 567, 255, 615, 256, 616)(208, 568, 257, 617, 223, 583)(209, 569, 258, 618, 259, 619)(210, 570, 260, 620, 225, 585)(211, 571, 261, 621, 222, 582)(212, 572, 262, 622, 263, 623)(213, 573, 264, 624, 265, 625)(214, 574, 266, 626, 267, 627)(215, 575, 268, 628, 269, 629)(216, 576, 270, 630, 217, 577)(218, 578, 271, 631, 272, 632)(219, 579, 273, 633, 274, 634)(220, 580, 275, 635, 276, 636)(221, 581, 277, 637, 278, 638)(224, 584, 279, 639, 280, 640)(226, 586, 281, 641, 282, 642)(283, 643, 307, 667, 289, 649)(284, 644, 308, 668, 291, 651)(285, 645, 290, 650, 309, 669)(286, 646, 310, 670, 311, 671)(287, 647, 312, 672, 313, 673)(288, 648, 314, 674, 294, 654)(292, 652, 315, 675, 316, 676)(293, 653, 317, 677, 318, 678)(295, 655, 319, 679, 301, 661)(296, 656, 320, 680, 303, 663)(297, 657, 302, 662, 321, 681)(298, 658, 322, 682, 323, 683)(299, 659, 324, 684, 325, 685)(300, 660, 326, 686, 306, 666)(304, 664, 327, 687, 328, 688)(305, 665, 329, 689, 330, 690)(331, 691, 335, 695, 347, 707)(332, 692, 348, 708, 338, 698)(333, 693, 349, 709, 337, 697)(334, 694, 350, 710, 336, 696)(339, 699, 343, 703, 351, 711)(340, 700, 352, 712, 346, 706)(341, 701, 353, 713, 345, 705)(342, 702, 354, 714, 344, 704)(355, 715, 359, 719, 356, 716)(357, 717, 360, 720, 358, 718)
	L = (1, 362)(2, 361)(3, 367)(4, 368)(5, 369)(6, 370)(7, 363)(8, 364)(9, 365)(10, 366)(11, 379)(12, 380)(13, 381)(14, 382)(15, 383)(16, 384)(17, 385)(18, 386)(19, 371)(20, 372)(21, 373)(22, 374)(23, 375)(24, 376)(25, 377)(26, 378)(27, 403)(28, 404)(29, 405)(30, 406)(31, 407)(32, 408)(33, 409)(34, 410)(35, 411)(36, 412)(37, 413)(38, 414)(39, 415)(40, 416)(41, 417)(42, 418)(43, 387)(44, 388)(45, 389)(46, 390)(47, 391)(48, 392)(49, 393)(50, 394)(51, 395)(52, 396)(53, 397)(54, 398)(55, 399)(56, 400)(57, 401)(58, 402)(59, 451)(60, 452)(61, 453)(62, 454)(63, 455)(64, 456)(65, 457)(66, 458)(67, 459)(68, 460)(69, 461)(70, 462)(71, 463)(72, 464)(73, 465)(74, 466)(75, 467)(76, 468)(77, 469)(78, 470)(79, 471)(80, 472)(81, 473)(82, 474)(83, 475)(84, 476)(85, 477)(86, 478)(87, 479)(88, 480)(89, 481)(90, 482)(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, 437)(110, 438)(111, 439)(112, 440)(113, 441)(114, 442)(115, 443)(116, 444)(117, 445)(118, 446)(119, 447)(120, 448)(121, 449)(122, 450)(123, 546)(124, 547)(125, 548)(126, 549)(127, 550)(128, 526)(129, 551)(130, 552)(131, 553)(132, 528)(133, 536)(134, 520)(135, 554)(136, 524)(137, 555)(138, 556)(139, 557)(140, 558)(141, 537)(142, 559)(143, 541)(144, 525)(145, 533)(146, 560)(147, 561)(148, 562)(149, 535)(150, 563)(151, 564)(152, 565)(153, 566)(154, 515)(155, 514)(156, 567)(157, 568)(158, 569)(159, 570)(160, 494)(161, 571)(162, 572)(163, 573)(164, 496)(165, 504)(166, 488)(167, 574)(168, 492)(169, 575)(170, 576)(171, 577)(172, 578)(173, 505)(174, 579)(175, 509)(176, 493)(177, 501)(178, 580)(179, 581)(180, 582)(181, 503)(182, 583)(183, 584)(184, 585)(185, 586)(186, 483)(187, 484)(188, 485)(189, 486)(190, 487)(191, 489)(192, 490)(193, 491)(194, 495)(195, 497)(196, 498)(197, 499)(198, 500)(199, 502)(200, 506)(201, 507)(202, 508)(203, 510)(204, 511)(205, 512)(206, 513)(207, 516)(208, 517)(209, 518)(210, 519)(211, 521)(212, 522)(213, 523)(214, 527)(215, 529)(216, 530)(217, 531)(218, 532)(219, 534)(220, 538)(221, 539)(222, 540)(223, 542)(224, 543)(225, 544)(226, 545)(227, 624)(228, 623)(229, 643)(230, 634)(231, 644)(232, 645)(233, 621)(234, 646)(235, 616)(236, 615)(237, 647)(238, 640)(239, 633)(240, 648)(241, 649)(242, 630)(243, 650)(244, 651)(245, 627)(246, 618)(247, 652)(248, 642)(249, 641)(250, 653)(251, 654)(252, 626)(253, 637)(254, 636)(255, 596)(256, 595)(257, 655)(258, 606)(259, 656)(260, 657)(261, 593)(262, 658)(263, 588)(264, 587)(265, 659)(266, 612)(267, 605)(268, 660)(269, 661)(270, 602)(271, 662)(272, 663)(273, 599)(274, 590)(275, 664)(276, 614)(277, 613)(278, 665)(279, 666)(280, 598)(281, 609)(282, 608)(283, 589)(284, 591)(285, 592)(286, 594)(287, 597)(288, 600)(289, 601)(290, 603)(291, 604)(292, 607)(293, 610)(294, 611)(295, 617)(296, 619)(297, 620)(298, 622)(299, 625)(300, 628)(301, 629)(302, 631)(303, 632)(304, 635)(305, 638)(306, 639)(307, 691)(308, 692)(309, 693)(310, 694)(311, 685)(312, 695)(313, 683)(314, 696)(315, 689)(316, 697)(317, 687)(318, 698)(319, 699)(320, 700)(321, 701)(322, 702)(323, 673)(324, 703)(325, 671)(326, 704)(327, 677)(328, 705)(329, 675)(330, 706)(331, 667)(332, 668)(333, 669)(334, 670)(335, 672)(336, 674)(337, 676)(338, 678)(339, 679)(340, 680)(341, 681)(342, 682)(343, 684)(344, 686)(345, 688)(346, 690)(347, 713)(348, 715)(349, 711)(350, 716)(351, 709)(352, 717)(353, 707)(354, 718)(355, 708)(356, 710)(357, 712)(358, 714)(359, 720)(360, 719)
	local type(s) :: { ( 2, 10, 2, 10, 2, 10 ) }
Outer automorphisms :: reflexible
Dual of E13.1629
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 120 e = 360 f = 216
	degree seq :: [ 6^120 ]

E13.1631 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 3, 10})
Quotient :: loop
Aut^+ = A5 x S3 (small group id <360, 121>)
Aut   = $<720, 771>$ (small group id <720, 771>)
|r| :: 2
Presentation :: [ F^2, T1^3, (T2^-1 * T1^-1)^2, (F * T1)^2, (F * T2)^2, (T2 * T1^-2)^2, T2^10, (T2^-2 * T1 * T2^-3 * T1)^2, T1^-1 * T2^3 * T1^-1 * T2^-2 * T1 * T2^4 * T1^-1 * T2^-3, T2 * T1^-1 * T2^-4 * T1 * T2^2 * T1^-1 * T2^5 * T1^-1 ]
Map::
	R = (1, 361, 3, 363, 9, 369, 19, 379, 37, 397, 67, 427, 48, 408, 26, 386, 13, 373, 5, 365)(2, 362, 6, 366, 14, 374, 27, 387, 50, 410, 88, 448, 58, 418, 32, 392, 16, 376, 7, 367)(4, 364, 11, 371, 22, 382, 41, 401, 74, 434, 106, 466, 62, 422, 34, 394, 17, 377, 8, 368)(10, 370, 21, 381, 40, 400, 71, 431, 121, 481, 182, 542, 110, 470, 64, 424, 35, 395, 18, 378)(12, 372, 23, 383, 43, 403, 77, 437, 130, 490, 210, 570, 136, 496, 80, 440, 44, 404, 24, 384)(15, 375, 29, 389, 53, 413, 92, 452, 154, 514, 242, 602, 160, 520, 95, 455, 54, 414, 30, 390)(20, 380, 39, 399, 70, 430, 118, 478, 194, 554, 273, 633, 186, 546, 112, 472, 65, 425, 36, 396)(25, 385, 45, 405, 81, 441, 137, 497, 218, 578, 253, 613, 222, 582, 140, 500, 82, 442, 46, 406)(28, 388, 52, 412, 91, 451, 151, 511, 238, 598, 187, 547, 230, 590, 145, 505, 86, 446, 49, 409)(31, 391, 55, 415, 96, 456, 161, 521, 249, 609, 261, 621, 251, 611, 164, 524, 97, 457, 56, 416)(33, 393, 59, 419, 101, 461, 168, 528, 257, 617, 224, 584, 259, 619, 171, 531, 102, 462, 60, 420)(38, 398, 69, 429, 117, 477, 192, 552, 277, 637, 323, 683, 275, 635, 188, 548, 113, 473, 66, 426)(42, 402, 76, 436, 128, 488, 206, 566, 286, 646, 231, 591, 284, 644, 202, 562, 124, 484, 73, 433)(47, 407, 83, 443, 141, 501, 223, 583, 294, 654, 332, 692, 296, 656, 225, 585, 142, 502, 84, 444)(51, 411, 90, 450, 150, 510, 236, 596, 302, 662, 328, 688, 300, 660, 232, 592, 146, 506, 87, 447)(57, 417, 98, 458, 165, 525, 252, 612, 310, 670, 343, 703, 311, 671, 254, 614, 166, 526, 99, 459)(61, 421, 103, 463, 172, 532, 260, 620, 313, 673, 317, 677, 314, 674, 262, 622, 173, 533, 104, 464)(63, 423, 107, 467, 177, 537, 266, 626, 217, 577, 138, 498, 220, 580, 207, 567, 178, 538, 108, 468)(68, 428, 116, 476, 191, 551, 276, 636, 324, 684, 344, 704, 307, 667, 247, 607, 189, 549, 114, 474)(72, 432, 123, 483, 200, 560, 139, 499, 221, 581, 201, 561, 282, 642, 279, 639, 196, 556, 120, 480)(75, 435, 127, 487, 205, 565, 285, 645, 327, 687, 339, 699, 320, 680, 272, 632, 203, 563, 125, 485)(78, 438, 132, 492, 213, 573, 163, 523, 184, 544, 111, 471, 183, 543, 269, 629, 208, 568, 129, 489)(79, 439, 133, 493, 214, 574, 289, 649, 248, 608, 162, 522, 193, 553, 119, 479, 195, 555, 134, 494)(85, 445, 115, 475, 190, 550, 243, 603, 304, 664, 341, 701, 336, 696, 297, 657, 226, 586, 143, 503)(89, 449, 149, 509, 235, 595, 301, 661, 338, 698, 318, 678, 268, 628, 181, 541, 233, 593, 147, 507)(93, 453, 156, 516, 244, 604, 170, 530, 228, 588, 144, 504, 227, 587, 298, 658, 240, 600, 153, 513)(94, 454, 157, 517, 245, 605, 305, 665, 256, 616, 169, 529, 237, 597, 152, 512, 239, 599, 158, 518)(100, 460, 148, 508, 234, 594, 198, 558, 281, 641, 325, 685, 346, 706, 312, 672, 255, 615, 167, 527)(105, 465, 174, 534, 263, 623, 211, 571, 288, 648, 330, 690, 347, 707, 315, 675, 264, 624, 175, 535)(109, 469, 179, 539, 267, 627, 316, 676, 348, 708, 340, 700, 303, 663, 241, 601, 155, 515, 180, 540)(122, 482, 199, 559, 135, 495, 215, 575, 290, 650, 331, 691, 351, 711, 322, 682, 280, 640, 197, 557)(126, 486, 204, 564, 278, 638, 326, 686, 352, 712, 333, 693, 291, 651, 216, 576, 265, 625, 176, 536)(131, 491, 212, 572, 159, 519, 246, 606, 306, 666, 342, 702, 353, 713, 329, 689, 287, 647, 209, 569)(185, 545, 270, 630, 319, 679, 349, 709, 358, 718, 355, 715, 335, 695, 295, 655, 258, 618, 271, 631)(219, 579, 293, 653, 229, 589, 274, 634, 321, 681, 350, 710, 359, 719, 354, 714, 334, 694, 292, 652)(250, 610, 309, 669, 283, 643, 299, 659, 337, 697, 356, 716, 360, 720, 357, 717, 345, 705, 308, 668)
	L = (1, 362)(2, 364)(3, 368)(4, 361)(5, 372)(6, 365)(7, 375)(8, 370)(9, 378)(10, 363)(11, 367)(12, 366)(13, 385)(14, 384)(15, 371)(16, 391)(17, 393)(18, 380)(19, 396)(20, 369)(21, 377)(22, 390)(23, 373)(24, 388)(25, 383)(26, 407)(27, 409)(28, 374)(29, 376)(30, 402)(31, 389)(32, 417)(33, 381)(34, 421)(35, 423)(36, 398)(37, 426)(38, 379)(39, 395)(40, 420)(41, 433)(42, 382)(43, 406)(44, 439)(45, 386)(46, 438)(47, 405)(48, 445)(49, 411)(50, 447)(51, 387)(52, 404)(53, 416)(54, 454)(55, 392)(56, 453)(57, 415)(58, 460)(59, 394)(60, 432)(61, 419)(62, 465)(63, 399)(64, 469)(65, 471)(66, 428)(67, 474)(68, 397)(69, 425)(70, 468)(71, 480)(72, 400)(73, 435)(74, 485)(75, 401)(76, 414)(77, 489)(78, 403)(79, 412)(80, 495)(81, 444)(82, 499)(83, 408)(84, 498)(85, 443)(86, 504)(87, 449)(88, 507)(89, 410)(90, 446)(91, 494)(92, 513)(93, 413)(94, 436)(95, 519)(96, 459)(97, 523)(98, 418)(99, 522)(100, 458)(101, 464)(102, 530)(103, 422)(104, 529)(105, 463)(106, 536)(107, 424)(108, 479)(109, 467)(110, 541)(111, 429)(112, 545)(113, 547)(114, 475)(115, 427)(116, 473)(117, 544)(118, 553)(119, 430)(120, 482)(121, 557)(122, 431)(123, 462)(124, 561)(125, 486)(126, 434)(127, 484)(128, 518)(129, 491)(130, 569)(131, 437)(132, 442)(133, 440)(134, 512)(135, 493)(136, 576)(137, 577)(138, 441)(139, 492)(140, 565)(141, 503)(142, 566)(143, 584)(144, 450)(145, 589)(146, 591)(147, 508)(148, 448)(149, 506)(150, 588)(151, 597)(152, 451)(153, 515)(154, 601)(155, 452)(156, 457)(157, 455)(158, 567)(159, 517)(160, 607)(161, 608)(162, 456)(163, 516)(164, 477)(165, 527)(166, 478)(167, 613)(168, 616)(169, 461)(170, 483)(171, 510)(172, 535)(173, 511)(174, 466)(175, 621)(176, 534)(177, 540)(178, 599)(179, 470)(180, 600)(181, 539)(182, 594)(183, 472)(184, 524)(185, 543)(186, 632)(187, 476)(188, 634)(189, 602)(190, 549)(191, 598)(192, 611)(193, 526)(194, 614)(195, 538)(196, 574)(197, 558)(198, 481)(199, 556)(200, 604)(201, 487)(202, 643)(203, 633)(204, 563)(205, 581)(206, 580)(207, 488)(208, 605)(209, 571)(210, 623)(211, 490)(212, 568)(213, 560)(214, 559)(215, 496)(216, 575)(217, 579)(218, 652)(219, 497)(220, 502)(221, 500)(222, 615)(223, 617)(224, 501)(225, 595)(226, 596)(227, 505)(228, 531)(229, 587)(230, 548)(231, 509)(232, 659)(233, 542)(234, 593)(235, 646)(236, 619)(237, 533)(238, 622)(239, 555)(240, 537)(241, 603)(242, 550)(243, 514)(244, 573)(245, 572)(246, 520)(247, 606)(248, 610)(249, 668)(250, 521)(251, 624)(252, 578)(253, 525)(254, 638)(255, 645)(256, 618)(257, 655)(258, 528)(259, 586)(260, 609)(261, 532)(262, 551)(263, 625)(264, 552)(265, 570)(266, 658)(267, 628)(268, 677)(269, 631)(270, 546)(271, 665)(272, 630)(273, 564)(274, 590)(275, 682)(276, 674)(277, 675)(278, 554)(279, 669)(280, 683)(281, 640)(282, 562)(283, 642)(284, 592)(285, 582)(286, 585)(287, 688)(288, 647)(289, 639)(290, 651)(291, 692)(292, 612)(293, 626)(294, 695)(295, 583)(296, 693)(297, 690)(298, 653)(299, 644)(300, 689)(301, 656)(302, 657)(303, 699)(304, 663)(305, 629)(306, 667)(307, 703)(308, 620)(309, 649)(310, 694)(311, 704)(312, 701)(313, 705)(314, 678)(315, 685)(316, 673)(317, 627)(318, 636)(319, 680)(320, 700)(321, 635)(322, 681)(323, 641)(324, 698)(325, 637)(326, 671)(327, 672)(328, 648)(329, 697)(330, 662)(331, 654)(332, 650)(333, 661)(334, 702)(335, 691)(336, 706)(337, 660)(338, 712)(339, 664)(340, 679)(341, 687)(342, 670)(343, 666)(344, 686)(345, 676)(346, 707)(347, 696)(348, 717)(349, 708)(350, 711)(351, 715)(352, 684)(353, 714)(354, 716)(355, 710)(356, 713)(357, 709)(358, 720)(359, 718)(360, 719)
	local type(s) :: { ( 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3 ) }
Outer automorphisms :: reflexible
Dual of E13.1627
Transitivity :: ET+ VT+ AT
Graph::
	v = 36 e = 360 f = 300
	degree seq :: [ 20^36 ]

E13.1632 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 3, 10})
Quotient :: loop
Aut^+ = A5 x S3 (small group id <360, 121>)
Aut   = $<720, 771>$ (small group id <720, 771>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, (T1^-1 * T2)^3, T1^10, T1^10, (T2 * T1^2 * T2 * T1^-4)^2, T2 * T1^2 * T2 * T1^-1 * T2 * T1^2 * T2 * T1^3 * T2 * T1^-2 * T2 * T1^-2 ]
Map:: polyhedral non-degenerate
	R = (1, 361, 3, 363)(2, 362, 6, 366)(4, 364, 9, 369)(5, 365, 12, 372)(7, 367, 16, 376)(8, 368, 13, 373)(10, 370, 19, 379)(11, 371, 22, 382)(14, 374, 23, 383)(15, 375, 28, 388)(17, 377, 30, 390)(18, 378, 33, 393)(20, 380, 35, 395)(21, 381, 38, 398)(24, 384, 39, 399)(25, 385, 44, 404)(26, 386, 45, 405)(27, 387, 48, 408)(29, 389, 49, 409)(31, 391, 53, 413)(32, 392, 56, 416)(34, 394, 59, 419)(36, 396, 61, 421)(37, 397, 62, 422)(40, 400, 63, 423)(41, 401, 68, 428)(42, 402, 69, 429)(43, 403, 72, 432)(46, 406, 75, 435)(47, 407, 78, 438)(50, 410, 79, 439)(51, 411, 83, 443)(52, 412, 86, 446)(54, 414, 88, 448)(55, 415, 90, 450)(57, 417, 91, 451)(58, 418, 95, 455)(60, 420, 98, 458)(64, 424, 100, 460)(65, 425, 105, 465)(66, 426, 106, 466)(67, 427, 109, 469)(70, 430, 112, 472)(71, 431, 115, 475)(73, 433, 116, 476)(74, 434, 120, 480)(76, 436, 122, 482)(77, 437, 123, 483)(80, 440, 124, 484)(81, 441, 129, 489)(82, 442, 130, 490)(84, 444, 133, 493)(85, 445, 136, 496)(87, 447, 139, 499)(89, 449, 141, 501)(92, 452, 142, 502)(93, 453, 146, 506)(94, 454, 149, 509)(96, 456, 150, 510)(97, 457, 154, 514)(99, 459, 101, 461)(102, 462, 160, 520)(103, 463, 161, 521)(104, 464, 164, 524)(107, 467, 167, 527)(108, 468, 170, 530)(110, 470, 171, 531)(111, 471, 175, 535)(113, 473, 177, 537)(114, 474, 178, 538)(117, 477, 179, 539)(118, 478, 183, 543)(119, 479, 186, 546)(121, 481, 189, 549)(125, 485, 191, 551)(126, 486, 195, 555)(127, 487, 196, 556)(128, 488, 199, 559)(131, 491, 202, 562)(132, 492, 204, 564)(134, 494, 206, 566)(135, 495, 208, 568)(137, 497, 209, 569)(138, 498, 213, 573)(140, 500, 192, 552)(143, 503, 216, 576)(144, 504, 220, 580)(145, 505, 221, 581)(147, 507, 223, 583)(148, 508, 215, 575)(151, 511, 225, 585)(152, 512, 228, 588)(153, 513, 231, 591)(155, 515, 232, 592)(156, 516, 207, 567)(157, 517, 236, 596)(158, 518, 237, 597)(159, 519, 240, 600)(162, 522, 242, 602)(163, 523, 245, 605)(165, 525, 246, 606)(166, 526, 249, 609)(168, 528, 251, 611)(169, 529, 252, 612)(172, 532, 253, 613)(173, 533, 257, 617)(174, 534, 259, 619)(176, 536, 262, 622)(180, 540, 263, 623)(181, 541, 267, 627)(182, 542, 268, 628)(184, 544, 271, 631)(185, 545, 272, 632)(187, 547, 273, 633)(188, 548, 277, 637)(190, 550, 264, 624)(193, 553, 281, 641)(194, 554, 258, 618)(197, 557, 283, 643)(198, 558, 275, 635)(200, 560, 285, 645)(201, 561, 286, 646)(203, 563, 256, 616)(205, 565, 289, 649)(210, 570, 260, 620)(211, 571, 241, 601)(212, 572, 292, 652)(214, 574, 247, 607)(217, 577, 270, 630)(218, 578, 284, 644)(219, 579, 291, 651)(222, 582, 265, 625)(224, 584, 279, 639)(226, 586, 293, 653)(227, 587, 266, 626)(229, 589, 280, 640)(230, 590, 288, 648)(233, 593, 282, 642)(234, 594, 290, 650)(235, 595, 303, 663)(238, 598, 304, 664)(239, 599, 307, 667)(243, 603, 310, 670)(244, 604, 311, 671)(248, 608, 313, 673)(250, 610, 316, 676)(254, 614, 317, 677)(255, 615, 318, 678)(261, 621, 321, 681)(269, 629, 323, 683)(274, 634, 314, 674)(276, 636, 324, 684)(278, 638, 308, 668)(287, 647, 329, 689)(294, 654, 327, 687)(295, 655, 328, 688)(296, 656, 325, 685)(297, 657, 335, 695)(298, 658, 331, 691)(299, 659, 330, 690)(300, 660, 334, 694)(301, 661, 336, 696)(302, 662, 341, 701)(305, 665, 344, 704)(306, 666, 345, 705)(309, 669, 348, 708)(312, 672, 349, 709)(315, 675, 351, 711)(319, 679, 353, 713)(320, 680, 354, 714)(322, 682, 342, 702)(326, 686, 356, 716)(332, 692, 352, 712)(333, 693, 343, 703)(337, 697, 357, 717)(338, 698, 347, 707)(339, 699, 355, 715)(340, 700, 358, 718)(346, 706, 359, 719)(350, 710, 360, 720)
	L = (1, 362)(2, 365)(3, 367)(4, 361)(5, 371)(6, 373)(7, 375)(8, 363)(9, 378)(10, 364)(11, 381)(12, 383)(13, 385)(14, 366)(15, 387)(16, 369)(17, 368)(18, 392)(19, 394)(20, 370)(21, 397)(22, 399)(23, 401)(24, 372)(25, 403)(26, 374)(27, 407)(28, 409)(29, 376)(30, 412)(31, 377)(32, 415)(33, 379)(34, 418)(35, 420)(36, 380)(37, 396)(38, 423)(39, 425)(40, 382)(41, 427)(42, 384)(43, 431)(44, 390)(45, 434)(46, 386)(47, 437)(48, 439)(49, 441)(50, 388)(51, 389)(52, 445)(53, 447)(54, 391)(55, 449)(56, 451)(57, 393)(58, 454)(59, 395)(60, 457)(61, 459)(62, 460)(63, 462)(64, 398)(65, 464)(66, 400)(67, 468)(68, 405)(69, 471)(70, 402)(71, 474)(72, 476)(73, 404)(74, 479)(75, 481)(76, 406)(77, 414)(78, 484)(79, 486)(80, 408)(81, 488)(82, 410)(83, 492)(84, 411)(85, 495)(86, 413)(87, 498)(88, 500)(89, 494)(90, 502)(91, 504)(92, 416)(93, 417)(94, 508)(95, 510)(96, 419)(97, 513)(98, 421)(99, 516)(100, 517)(101, 422)(102, 519)(103, 424)(104, 523)(105, 429)(106, 526)(107, 426)(108, 529)(109, 531)(110, 428)(111, 534)(112, 536)(113, 430)(114, 436)(115, 539)(116, 541)(117, 432)(118, 433)(119, 545)(120, 435)(121, 548)(122, 550)(123, 551)(124, 553)(125, 438)(126, 554)(127, 440)(128, 558)(129, 443)(130, 561)(131, 442)(132, 563)(133, 565)(134, 444)(135, 567)(136, 569)(137, 446)(138, 572)(139, 448)(140, 575)(141, 576)(142, 577)(143, 450)(144, 579)(145, 452)(146, 582)(147, 453)(148, 584)(149, 585)(150, 587)(151, 455)(152, 456)(153, 590)(154, 592)(155, 458)(156, 594)(157, 595)(158, 461)(159, 599)(160, 466)(161, 491)(162, 463)(163, 604)(164, 606)(165, 465)(166, 505)(167, 610)(168, 467)(169, 473)(170, 613)(171, 615)(172, 469)(173, 470)(174, 511)(175, 472)(176, 621)(177, 485)(178, 623)(179, 625)(180, 475)(181, 626)(182, 477)(183, 630)(184, 478)(185, 514)(186, 633)(187, 480)(188, 636)(189, 482)(190, 501)(191, 612)(192, 483)(193, 640)(194, 642)(195, 490)(196, 629)(197, 487)(198, 596)(199, 645)(200, 489)(201, 619)(202, 602)(203, 647)(204, 493)(205, 648)(206, 624)(207, 597)(208, 620)(209, 651)(210, 496)(211, 497)(212, 637)(213, 607)(214, 499)(215, 653)(216, 654)(217, 631)(218, 503)(219, 601)(220, 506)(221, 634)(222, 628)(223, 656)(224, 507)(225, 646)(226, 509)(227, 608)(228, 641)(229, 512)(230, 658)(231, 632)(232, 618)(233, 515)(234, 661)(235, 662)(236, 521)(237, 544)(238, 518)(239, 666)(240, 571)(241, 520)(242, 669)(243, 522)(244, 528)(245, 574)(246, 560)(247, 524)(248, 525)(249, 527)(250, 675)(251, 540)(252, 677)(253, 564)(254, 530)(255, 580)(256, 532)(257, 555)(258, 533)(259, 570)(260, 535)(261, 680)(262, 537)(263, 671)(264, 538)(265, 583)(266, 588)(267, 543)(268, 679)(269, 542)(270, 581)(271, 664)(272, 674)(273, 559)(274, 546)(275, 547)(276, 681)(277, 668)(278, 549)(279, 552)(280, 686)(281, 556)(282, 687)(283, 688)(284, 557)(285, 673)(286, 562)(287, 573)(288, 690)(289, 566)(290, 568)(291, 678)(292, 689)(293, 693)(294, 694)(295, 578)(296, 696)(297, 586)(298, 589)(299, 591)(300, 593)(301, 699)(302, 700)(303, 635)(304, 703)(305, 598)(306, 603)(307, 638)(308, 600)(309, 707)(310, 614)(311, 709)(312, 605)(313, 627)(314, 609)(315, 710)(316, 611)(317, 705)(318, 617)(319, 616)(320, 711)(321, 702)(322, 622)(323, 643)(324, 652)(325, 639)(326, 701)(327, 644)(328, 717)(329, 713)(330, 708)(331, 649)(332, 650)(333, 704)(334, 706)(335, 655)(336, 712)(337, 657)(338, 659)(339, 660)(340, 665)(341, 682)(342, 663)(343, 695)(344, 672)(345, 719)(346, 667)(347, 697)(348, 670)(349, 718)(350, 698)(351, 692)(352, 676)(353, 683)(354, 684)(355, 685)(356, 691)(357, 720)(358, 716)(359, 715)(360, 714)
	local type(s) :: { ( 3, 10, 3, 10 ) }
Outer automorphisms :: reflexible
Dual of E13.1628
Transitivity :: ET+ VT+ AT
Graph:: simple
	v = 180 e = 360 f = 156
	degree seq :: [ 4^180 ]

E13.1633 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 10})
Quotient :: dipole
Aut^+ = A5 x S3 (small group id <360, 121>)
Aut   = $<720, 771>$ (small group id <720, 771>)
|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 * Y1 * Y2^-1 * Y1 * Y2 * Y1 * Y2^-1)^2, (Y3 * Y2^-1)^10, (Y1 * Y2 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1)^2 ]
Map::
	R = (1, 361, 2, 362)(3, 363, 7, 367)(4, 364, 8, 368)(5, 365, 9, 369)(6, 366, 10, 370)(11, 371, 19, 379)(12, 372, 20, 380)(13, 373, 21, 381)(14, 374, 22, 382)(15, 375, 23, 383)(16, 376, 24, 384)(17, 377, 25, 385)(18, 378, 26, 386)(27, 387, 43, 403)(28, 388, 44, 404)(29, 389, 45, 405)(30, 390, 46, 406)(31, 391, 47, 407)(32, 392, 48, 408)(33, 393, 49, 409)(34, 394, 50, 410)(35, 395, 51, 411)(36, 396, 52, 412)(37, 397, 53, 413)(38, 398, 54, 414)(39, 399, 55, 415)(40, 400, 56, 416)(41, 401, 57, 417)(42, 402, 58, 418)(59, 419, 91, 451)(60, 420, 92, 452)(61, 421, 93, 453)(62, 422, 94, 454)(63, 423, 95, 455)(64, 424, 96, 456)(65, 425, 97, 457)(66, 426, 98, 458)(67, 427, 99, 459)(68, 428, 100, 460)(69, 429, 101, 461)(70, 430, 102, 462)(71, 431, 103, 463)(72, 432, 104, 464)(73, 433, 105, 465)(74, 434, 106, 466)(75, 435, 107, 467)(76, 436, 108, 468)(77, 437, 109, 469)(78, 438, 110, 470)(79, 439, 111, 471)(80, 440, 112, 472)(81, 441, 113, 473)(82, 442, 114, 474)(83, 443, 115, 475)(84, 444, 116, 476)(85, 445, 117, 477)(86, 446, 118, 478)(87, 447, 119, 479)(88, 448, 120, 480)(89, 449, 121, 481)(90, 450, 122, 482)(123, 483, 186, 546)(124, 484, 187, 547)(125, 485, 188, 548)(126, 486, 189, 549)(127, 487, 190, 550)(128, 488, 166, 526)(129, 489, 191, 551)(130, 490, 192, 552)(131, 491, 193, 553)(132, 492, 168, 528)(133, 493, 176, 536)(134, 494, 160, 520)(135, 495, 194, 554)(136, 496, 164, 524)(137, 497, 195, 555)(138, 498, 196, 556)(139, 499, 197, 557)(140, 500, 198, 558)(141, 501, 177, 537)(142, 502, 199, 559)(143, 503, 181, 541)(144, 504, 165, 525)(145, 505, 173, 533)(146, 506, 200, 560)(147, 507, 201, 561)(148, 508, 202, 562)(149, 509, 175, 535)(150, 510, 203, 563)(151, 511, 204, 564)(152, 512, 205, 565)(153, 513, 206, 566)(154, 514, 155, 515)(156, 516, 207, 567)(157, 517, 208, 568)(158, 518, 209, 569)(159, 519, 210, 570)(161, 521, 211, 571)(162, 522, 212, 572)(163, 523, 213, 573)(167, 527, 214, 574)(169, 529, 215, 575)(170, 530, 216, 576)(171, 531, 217, 577)(172, 532, 218, 578)(174, 534, 219, 579)(178, 538, 220, 580)(179, 539, 221, 581)(180, 540, 222, 582)(182, 542, 223, 583)(183, 543, 224, 584)(184, 544, 225, 585)(185, 545, 226, 586)(227, 587, 264, 624)(228, 588, 263, 623)(229, 589, 283, 643)(230, 590, 274, 634)(231, 591, 284, 644)(232, 592, 285, 645)(233, 593, 261, 621)(234, 594, 286, 646)(235, 595, 256, 616)(236, 596, 255, 615)(237, 597, 287, 647)(238, 598, 280, 640)(239, 599, 273, 633)(240, 600, 288, 648)(241, 601, 289, 649)(242, 602, 270, 630)(243, 603, 290, 650)(244, 604, 291, 651)(245, 605, 267, 627)(246, 606, 258, 618)(247, 607, 292, 652)(248, 608, 282, 642)(249, 609, 281, 641)(250, 610, 293, 653)(251, 611, 294, 654)(252, 612, 266, 626)(253, 613, 277, 637)(254, 614, 276, 636)(257, 617, 295, 655)(259, 619, 296, 656)(260, 620, 297, 657)(262, 622, 298, 658)(265, 625, 299, 659)(268, 628, 300, 660)(269, 629, 301, 661)(271, 631, 302, 662)(272, 632, 303, 663)(275, 635, 304, 664)(278, 638, 305, 665)(279, 639, 306, 666)(307, 667, 331, 691)(308, 668, 332, 692)(309, 669, 333, 693)(310, 670, 334, 694)(311, 671, 325, 685)(312, 672, 335, 695)(313, 673, 323, 683)(314, 674, 336, 696)(315, 675, 329, 689)(316, 676, 337, 697)(317, 677, 327, 687)(318, 678, 338, 698)(319, 679, 339, 699)(320, 680, 340, 700)(321, 681, 341, 701)(322, 682, 342, 702)(324, 684, 343, 703)(326, 686, 344, 704)(328, 688, 345, 705)(330, 690, 346, 706)(347, 707, 353, 713)(348, 708, 355, 715)(349, 709, 351, 711)(350, 710, 356, 716)(352, 712, 357, 717)(354, 714, 358, 718)(359, 719, 360, 720)(721, 1081, 723, 1083, 724, 1084)(722, 1082, 725, 1085, 726, 1086)(727, 1087, 731, 1091, 732, 1092)(728, 1088, 733, 1093, 734, 1094)(729, 1089, 735, 1095, 736, 1096)(730, 1090, 737, 1097, 738, 1098)(739, 1099, 747, 1107, 748, 1108)(740, 1100, 749, 1109, 750, 1110)(741, 1101, 751, 1111, 752, 1112)(742, 1102, 753, 1113, 754, 1114)(743, 1103, 755, 1115, 756, 1116)(744, 1104, 757, 1117, 758, 1118)(745, 1105, 759, 1119, 760, 1120)(746, 1106, 761, 1121, 762, 1122)(763, 1123, 779, 1139, 780, 1140)(764, 1124, 781, 1141, 782, 1142)(765, 1125, 783, 1143, 784, 1144)(766, 1126, 785, 1145, 786, 1146)(767, 1127, 787, 1147, 788, 1148)(768, 1128, 789, 1149, 790, 1150)(769, 1129, 791, 1151, 792, 1152)(770, 1130, 793, 1153, 794, 1154)(771, 1131, 795, 1155, 796, 1156)(772, 1132, 797, 1157, 798, 1158)(773, 1133, 799, 1159, 800, 1160)(774, 1134, 801, 1161, 802, 1162)(775, 1135, 803, 1163, 804, 1164)(776, 1136, 805, 1165, 806, 1166)(777, 1137, 807, 1167, 808, 1168)(778, 1138, 809, 1169, 810, 1170)(811, 1171, 843, 1203, 844, 1204)(812, 1172, 845, 1205, 846, 1206)(813, 1173, 847, 1207, 848, 1208)(814, 1174, 849, 1209, 850, 1210)(815, 1175, 851, 1211, 852, 1212)(816, 1176, 853, 1213, 854, 1214)(817, 1177, 855, 1215, 856, 1216)(818, 1178, 857, 1217, 858, 1218)(819, 1179, 859, 1219, 860, 1220)(820, 1180, 861, 1221, 862, 1222)(821, 1181, 863, 1223, 864, 1224)(822, 1182, 865, 1225, 866, 1226)(823, 1183, 867, 1227, 868, 1228)(824, 1184, 869, 1229, 870, 1230)(825, 1185, 871, 1231, 872, 1232)(826, 1186, 873, 1233, 874, 1234)(827, 1187, 875, 1235, 876, 1236)(828, 1188, 877, 1237, 878, 1238)(829, 1189, 879, 1239, 880, 1240)(830, 1190, 881, 1241, 882, 1242)(831, 1191, 883, 1243, 884, 1244)(832, 1192, 885, 1245, 886, 1246)(833, 1193, 887, 1247, 888, 1248)(834, 1194, 889, 1249, 890, 1250)(835, 1195, 891, 1251, 892, 1252)(836, 1196, 893, 1253, 894, 1254)(837, 1197, 895, 1255, 896, 1256)(838, 1198, 897, 1257, 898, 1258)(839, 1199, 899, 1259, 900, 1260)(840, 1200, 901, 1261, 902, 1262)(841, 1201, 903, 1263, 904, 1264)(842, 1202, 905, 1265, 906, 1266)(907, 1267, 947, 1307, 948, 1308)(908, 1268, 949, 1309, 923, 1283)(909, 1269, 950, 1310, 951, 1311)(910, 1270, 952, 1312, 925, 1285)(911, 1271, 953, 1313, 922, 1282)(912, 1272, 954, 1314, 955, 1315)(913, 1273, 956, 1316, 957, 1317)(914, 1274, 958, 1318, 959, 1319)(915, 1275, 960, 1320, 961, 1321)(916, 1276, 962, 1322, 917, 1277)(918, 1278, 963, 1323, 964, 1324)(919, 1279, 965, 1325, 966, 1326)(920, 1280, 967, 1327, 968, 1328)(921, 1281, 969, 1329, 970, 1330)(924, 1284, 971, 1331, 972, 1332)(926, 1286, 973, 1333, 974, 1334)(927, 1287, 975, 1335, 976, 1336)(928, 1288, 977, 1337, 943, 1303)(929, 1289, 978, 1338, 979, 1339)(930, 1290, 980, 1340, 945, 1305)(931, 1291, 981, 1341, 942, 1302)(932, 1292, 982, 1342, 983, 1343)(933, 1293, 984, 1344, 985, 1345)(934, 1294, 986, 1346, 987, 1347)(935, 1295, 988, 1348, 989, 1349)(936, 1296, 990, 1350, 937, 1297)(938, 1298, 991, 1351, 992, 1352)(939, 1299, 993, 1353, 994, 1354)(940, 1300, 995, 1355, 996, 1356)(941, 1301, 997, 1357, 998, 1358)(944, 1304, 999, 1359, 1000, 1360)(946, 1306, 1001, 1361, 1002, 1362)(1003, 1363, 1027, 1387, 1009, 1369)(1004, 1364, 1028, 1388, 1011, 1371)(1005, 1365, 1010, 1370, 1029, 1389)(1006, 1366, 1030, 1390, 1031, 1391)(1007, 1367, 1032, 1392, 1033, 1393)(1008, 1368, 1034, 1394, 1014, 1374)(1012, 1372, 1035, 1395, 1036, 1396)(1013, 1373, 1037, 1397, 1038, 1398)(1015, 1375, 1039, 1399, 1021, 1381)(1016, 1376, 1040, 1400, 1023, 1383)(1017, 1377, 1022, 1382, 1041, 1401)(1018, 1378, 1042, 1402, 1043, 1403)(1019, 1379, 1044, 1404, 1045, 1405)(1020, 1380, 1046, 1406, 1026, 1386)(1024, 1384, 1047, 1407, 1048, 1408)(1025, 1385, 1049, 1409, 1050, 1410)(1051, 1411, 1055, 1415, 1067, 1427)(1052, 1412, 1068, 1428, 1058, 1418)(1053, 1413, 1069, 1429, 1057, 1417)(1054, 1414, 1070, 1430, 1056, 1416)(1059, 1419, 1063, 1423, 1071, 1431)(1060, 1420, 1072, 1432, 1066, 1426)(1061, 1421, 1073, 1433, 1065, 1425)(1062, 1422, 1074, 1434, 1064, 1424)(1075, 1435, 1079, 1439, 1076, 1436)(1077, 1437, 1080, 1440, 1078, 1438)
	L = (1, 722)(2, 721)(3, 727)(4, 728)(5, 729)(6, 730)(7, 723)(8, 724)(9, 725)(10, 726)(11, 739)(12, 740)(13, 741)(14, 742)(15, 743)(16, 744)(17, 745)(18, 746)(19, 731)(20, 732)(21, 733)(22, 734)(23, 735)(24, 736)(25, 737)(26, 738)(27, 763)(28, 764)(29, 765)(30, 766)(31, 767)(32, 768)(33, 769)(34, 770)(35, 771)(36, 772)(37, 773)(38, 774)(39, 775)(40, 776)(41, 777)(42, 778)(43, 747)(44, 748)(45, 749)(46, 750)(47, 751)(48, 752)(49, 753)(50, 754)(51, 755)(52, 756)(53, 757)(54, 758)(55, 759)(56, 760)(57, 761)(58, 762)(59, 811)(60, 812)(61, 813)(62, 814)(63, 815)(64, 816)(65, 817)(66, 818)(67, 819)(68, 820)(69, 821)(70, 822)(71, 823)(72, 824)(73, 825)(74, 826)(75, 827)(76, 828)(77, 829)(78, 830)(79, 831)(80, 832)(81, 833)(82, 834)(83, 835)(84, 836)(85, 837)(86, 838)(87, 839)(88, 840)(89, 841)(90, 842)(91, 779)(92, 780)(93, 781)(94, 782)(95, 783)(96, 784)(97, 785)(98, 786)(99, 787)(100, 788)(101, 789)(102, 790)(103, 791)(104, 792)(105, 793)(106, 794)(107, 795)(108, 796)(109, 797)(110, 798)(111, 799)(112, 800)(113, 801)(114, 802)(115, 803)(116, 804)(117, 805)(118, 806)(119, 807)(120, 808)(121, 809)(122, 810)(123, 906)(124, 907)(125, 908)(126, 909)(127, 910)(128, 886)(129, 911)(130, 912)(131, 913)(132, 888)(133, 896)(134, 880)(135, 914)(136, 884)(137, 915)(138, 916)(139, 917)(140, 918)(141, 897)(142, 919)(143, 901)(144, 885)(145, 893)(146, 920)(147, 921)(148, 922)(149, 895)(150, 923)(151, 924)(152, 925)(153, 926)(154, 875)(155, 874)(156, 927)(157, 928)(158, 929)(159, 930)(160, 854)(161, 931)(162, 932)(163, 933)(164, 856)(165, 864)(166, 848)(167, 934)(168, 852)(169, 935)(170, 936)(171, 937)(172, 938)(173, 865)(174, 939)(175, 869)(176, 853)(177, 861)(178, 940)(179, 941)(180, 942)(181, 863)(182, 943)(183, 944)(184, 945)(185, 946)(186, 843)(187, 844)(188, 845)(189, 846)(190, 847)(191, 849)(192, 850)(193, 851)(194, 855)(195, 857)(196, 858)(197, 859)(198, 860)(199, 862)(200, 866)(201, 867)(202, 868)(203, 870)(204, 871)(205, 872)(206, 873)(207, 876)(208, 877)(209, 878)(210, 879)(211, 881)(212, 882)(213, 883)(214, 887)(215, 889)(216, 890)(217, 891)(218, 892)(219, 894)(220, 898)(221, 899)(222, 900)(223, 902)(224, 903)(225, 904)(226, 905)(227, 984)(228, 983)(229, 1003)(230, 994)(231, 1004)(232, 1005)(233, 981)(234, 1006)(235, 976)(236, 975)(237, 1007)(238, 1000)(239, 993)(240, 1008)(241, 1009)(242, 990)(243, 1010)(244, 1011)(245, 987)(246, 978)(247, 1012)(248, 1002)(249, 1001)(250, 1013)(251, 1014)(252, 986)(253, 997)(254, 996)(255, 956)(256, 955)(257, 1015)(258, 966)(259, 1016)(260, 1017)(261, 953)(262, 1018)(263, 948)(264, 947)(265, 1019)(266, 972)(267, 965)(268, 1020)(269, 1021)(270, 962)(271, 1022)(272, 1023)(273, 959)(274, 950)(275, 1024)(276, 974)(277, 973)(278, 1025)(279, 1026)(280, 958)(281, 969)(282, 968)(283, 949)(284, 951)(285, 952)(286, 954)(287, 957)(288, 960)(289, 961)(290, 963)(291, 964)(292, 967)(293, 970)(294, 971)(295, 977)(296, 979)(297, 980)(298, 982)(299, 985)(300, 988)(301, 989)(302, 991)(303, 992)(304, 995)(305, 998)(306, 999)(307, 1051)(308, 1052)(309, 1053)(310, 1054)(311, 1045)(312, 1055)(313, 1043)(314, 1056)(315, 1049)(316, 1057)(317, 1047)(318, 1058)(319, 1059)(320, 1060)(321, 1061)(322, 1062)(323, 1033)(324, 1063)(325, 1031)(326, 1064)(327, 1037)(328, 1065)(329, 1035)(330, 1066)(331, 1027)(332, 1028)(333, 1029)(334, 1030)(335, 1032)(336, 1034)(337, 1036)(338, 1038)(339, 1039)(340, 1040)(341, 1041)(342, 1042)(343, 1044)(344, 1046)(345, 1048)(346, 1050)(347, 1073)(348, 1075)(349, 1071)(350, 1076)(351, 1069)(352, 1077)(353, 1067)(354, 1078)(355, 1068)(356, 1070)(357, 1072)(358, 1074)(359, 1080)(360, 1079)(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, 20, 2, 20 ), ( 2, 20, 2, 20, 2, 20 ) }
Outer automorphisms :: reflexible
Dual of E13.1636
Graph:: bipartite
	v = 300 e = 720 f = 396
	degree seq :: [ 4^180, 6^120 ]

E13.1634 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 10})
Quotient :: dipole
Aut^+ = A5 x S3 (small group id <360, 121>)
Aut   = $<720, 771>$ (small group id <720, 771>)
|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 * Y2)^2, Y2^10, (Y2^3 * Y1^-1 * Y2^2 * Y1^-1)^2, Y2^4 * Y1^-1 * Y2^-2 * Y1^-1 * Y2^-2 * Y1^-1 * Y2^4, Y2^-1 * Y1 * Y2^-4 * Y1 * Y2^2 * Y1^-1 * Y2^5 * Y1, Y1^-1 * Y2^3 * Y1^-1 * Y2^-2 * Y1 * Y2^4 * Y1^-1 * Y2^-3 ]
Map::
	R = (1, 361, 2, 362, 4, 364)(3, 363, 8, 368, 10, 370)(5, 365, 12, 372, 6, 366)(7, 367, 15, 375, 11, 371)(9, 369, 18, 378, 20, 380)(13, 373, 25, 385, 23, 383)(14, 374, 24, 384, 28, 388)(16, 376, 31, 391, 29, 389)(17, 377, 33, 393, 21, 381)(19, 379, 36, 396, 38, 398)(22, 382, 30, 390, 42, 402)(26, 386, 47, 407, 45, 405)(27, 387, 49, 409, 51, 411)(32, 392, 57, 417, 55, 415)(34, 394, 61, 421, 59, 419)(35, 395, 63, 423, 39, 399)(37, 397, 66, 426, 68, 428)(40, 400, 60, 420, 72, 432)(41, 401, 73, 433, 75, 435)(43, 403, 46, 406, 78, 438)(44, 404, 79, 439, 52, 412)(48, 408, 85, 445, 83, 443)(50, 410, 87, 447, 89, 449)(53, 413, 56, 416, 93, 453)(54, 414, 94, 454, 76, 436)(58, 418, 100, 460, 98, 458)(62, 422, 105, 465, 103, 463)(64, 424, 109, 469, 107, 467)(65, 425, 111, 471, 69, 429)(67, 427, 114, 474, 115, 475)(70, 430, 108, 468, 119, 479)(71, 431, 120, 480, 122, 482)(74, 434, 125, 485, 126, 486)(77, 437, 129, 489, 131, 491)(80, 440, 135, 495, 133, 493)(81, 441, 84, 444, 138, 498)(82, 442, 139, 499, 132, 492)(86, 446, 144, 504, 90, 450)(88, 448, 147, 507, 148, 508)(91, 451, 134, 494, 152, 512)(92, 452, 153, 513, 155, 515)(95, 455, 159, 519, 157, 517)(96, 456, 99, 459, 162, 522)(97, 457, 163, 523, 156, 516)(101, 461, 104, 464, 169, 529)(102, 462, 170, 530, 123, 483)(106, 466, 176, 536, 174, 534)(110, 470, 181, 541, 179, 539)(112, 472, 185, 545, 183, 543)(113, 473, 187, 547, 116, 476)(117, 477, 184, 544, 164, 524)(118, 478, 193, 553, 166, 526)(121, 481, 197, 557, 198, 558)(124, 484, 201, 561, 127, 487)(128, 488, 158, 518, 207, 567)(130, 490, 209, 569, 211, 571)(136, 496, 216, 576, 215, 575)(137, 497, 217, 577, 219, 579)(140, 500, 205, 565, 221, 581)(141, 501, 143, 503, 224, 584)(142, 502, 206, 566, 220, 580)(145, 505, 229, 589, 227, 587)(146, 506, 231, 591, 149, 509)(150, 510, 228, 588, 171, 531)(151, 511, 237, 597, 173, 533)(154, 514, 241, 601, 243, 603)(160, 520, 247, 607, 246, 606)(161, 521, 248, 608, 250, 610)(165, 525, 167, 527, 253, 613)(168, 528, 256, 616, 258, 618)(172, 532, 175, 535, 261, 621)(177, 537, 180, 540, 240, 600)(178, 538, 239, 599, 195, 555)(182, 542, 234, 594, 233, 593)(186, 546, 272, 632, 270, 630)(188, 548, 274, 634, 230, 590)(189, 549, 242, 602, 190, 550)(191, 551, 238, 598, 262, 622)(192, 552, 251, 611, 264, 624)(194, 554, 254, 614, 278, 638)(196, 556, 214, 574, 199, 559)(200, 560, 244, 604, 213, 573)(202, 562, 283, 643, 282, 642)(203, 563, 273, 633, 204, 564)(208, 568, 245, 605, 212, 572)(210, 570, 263, 623, 265, 625)(218, 578, 292, 652, 252, 612)(222, 582, 255, 615, 285, 645)(223, 583, 257, 617, 295, 655)(225, 585, 235, 595, 286, 646)(226, 586, 236, 596, 259, 619)(232, 592, 299, 659, 284, 644)(249, 609, 308, 668, 260, 620)(266, 626, 298, 658, 293, 653)(267, 627, 268, 628, 317, 677)(269, 629, 271, 631, 305, 665)(275, 635, 322, 682, 321, 681)(276, 636, 314, 674, 318, 678)(277, 637, 315, 675, 325, 685)(279, 639, 309, 669, 289, 649)(280, 640, 323, 683, 281, 641)(287, 647, 328, 688, 288, 648)(290, 650, 291, 651, 332, 692)(294, 654, 335, 695, 331, 691)(296, 656, 333, 693, 301, 661)(297, 657, 330, 690, 302, 662)(300, 660, 329, 689, 337, 697)(303, 663, 339, 699, 304, 664)(306, 666, 307, 667, 343, 703)(310, 670, 334, 694, 342, 702)(311, 671, 344, 704, 326, 686)(312, 672, 341, 701, 327, 687)(313, 673, 345, 705, 316, 676)(319, 679, 320, 680, 340, 700)(324, 684, 338, 698, 352, 712)(336, 696, 346, 706, 347, 707)(348, 708, 357, 717, 349, 709)(350, 710, 351, 711, 355, 715)(353, 713, 354, 714, 356, 716)(358, 718, 360, 720, 359, 719)(721, 1081, 723, 1083, 729, 1089, 739, 1099, 757, 1117, 787, 1147, 768, 1128, 746, 1106, 733, 1093, 725, 1085)(722, 1082, 726, 1086, 734, 1094, 747, 1107, 770, 1130, 808, 1168, 778, 1138, 752, 1112, 736, 1096, 727, 1087)(724, 1084, 731, 1091, 742, 1102, 761, 1121, 794, 1154, 826, 1186, 782, 1142, 754, 1114, 737, 1097, 728, 1088)(730, 1090, 741, 1101, 760, 1120, 791, 1151, 841, 1201, 902, 1262, 830, 1190, 784, 1144, 755, 1115, 738, 1098)(732, 1092, 743, 1103, 763, 1123, 797, 1157, 850, 1210, 930, 1290, 856, 1216, 800, 1160, 764, 1124, 744, 1104)(735, 1095, 749, 1109, 773, 1133, 812, 1172, 874, 1234, 962, 1322, 880, 1240, 815, 1175, 774, 1134, 750, 1110)(740, 1100, 759, 1119, 790, 1150, 838, 1198, 914, 1274, 993, 1353, 906, 1266, 832, 1192, 785, 1145, 756, 1116)(745, 1105, 765, 1125, 801, 1161, 857, 1217, 938, 1298, 973, 1333, 942, 1302, 860, 1220, 802, 1162, 766, 1126)(748, 1108, 772, 1132, 811, 1171, 871, 1231, 958, 1318, 907, 1267, 950, 1310, 865, 1225, 806, 1166, 769, 1129)(751, 1111, 775, 1135, 816, 1176, 881, 1241, 969, 1329, 981, 1341, 971, 1331, 884, 1244, 817, 1177, 776, 1136)(753, 1113, 779, 1139, 821, 1181, 888, 1248, 977, 1337, 944, 1304, 979, 1339, 891, 1251, 822, 1182, 780, 1140)(758, 1118, 789, 1149, 837, 1197, 912, 1272, 997, 1357, 1043, 1403, 995, 1355, 908, 1268, 833, 1193, 786, 1146)(762, 1122, 796, 1156, 848, 1208, 926, 1286, 1006, 1366, 951, 1311, 1004, 1364, 922, 1282, 844, 1204, 793, 1153)(767, 1127, 803, 1163, 861, 1221, 943, 1303, 1014, 1374, 1052, 1412, 1016, 1376, 945, 1305, 862, 1222, 804, 1164)(771, 1131, 810, 1170, 870, 1230, 956, 1316, 1022, 1382, 1048, 1408, 1020, 1380, 952, 1312, 866, 1226, 807, 1167)(777, 1137, 818, 1178, 885, 1245, 972, 1332, 1030, 1390, 1063, 1423, 1031, 1391, 974, 1334, 886, 1246, 819, 1179)(781, 1141, 823, 1183, 892, 1252, 980, 1340, 1033, 1393, 1037, 1397, 1034, 1394, 982, 1342, 893, 1253, 824, 1184)(783, 1143, 827, 1187, 897, 1257, 986, 1346, 937, 1297, 858, 1218, 940, 1300, 927, 1287, 898, 1258, 828, 1188)(788, 1148, 836, 1196, 911, 1271, 996, 1356, 1044, 1404, 1064, 1424, 1027, 1387, 967, 1327, 909, 1269, 834, 1194)(792, 1152, 843, 1203, 920, 1280, 859, 1219, 941, 1301, 921, 1281, 1002, 1362, 999, 1359, 916, 1276, 840, 1200)(795, 1155, 847, 1207, 925, 1285, 1005, 1365, 1047, 1407, 1059, 1419, 1040, 1400, 992, 1352, 923, 1283, 845, 1205)(798, 1158, 852, 1212, 933, 1293, 883, 1243, 904, 1264, 831, 1191, 903, 1263, 989, 1349, 928, 1288, 849, 1209)(799, 1159, 853, 1213, 934, 1294, 1009, 1369, 968, 1328, 882, 1242, 913, 1273, 839, 1199, 915, 1275, 854, 1214)(805, 1165, 835, 1195, 910, 1270, 963, 1323, 1024, 1384, 1061, 1421, 1056, 1416, 1017, 1377, 946, 1306, 863, 1223)(809, 1169, 869, 1229, 955, 1315, 1021, 1381, 1058, 1418, 1038, 1398, 988, 1348, 901, 1261, 953, 1313, 867, 1227)(813, 1173, 876, 1236, 964, 1324, 890, 1250, 948, 1308, 864, 1224, 947, 1307, 1018, 1378, 960, 1320, 873, 1233)(814, 1174, 877, 1237, 965, 1325, 1025, 1385, 976, 1336, 889, 1249, 957, 1317, 872, 1232, 959, 1319, 878, 1238)(820, 1180, 868, 1228, 954, 1314, 918, 1278, 1001, 1361, 1045, 1405, 1066, 1426, 1032, 1392, 975, 1335, 887, 1247)(825, 1185, 894, 1254, 983, 1343, 931, 1291, 1008, 1368, 1050, 1410, 1067, 1427, 1035, 1395, 984, 1344, 895, 1255)(829, 1189, 899, 1259, 987, 1347, 1036, 1396, 1068, 1428, 1060, 1420, 1023, 1383, 961, 1321, 875, 1235, 900, 1260)(842, 1202, 919, 1279, 855, 1215, 935, 1295, 1010, 1370, 1051, 1411, 1071, 1431, 1042, 1402, 1000, 1360, 917, 1277)(846, 1206, 924, 1284, 998, 1358, 1046, 1406, 1072, 1432, 1053, 1413, 1011, 1371, 936, 1296, 985, 1345, 896, 1256)(851, 1211, 932, 1292, 879, 1239, 966, 1326, 1026, 1386, 1062, 1422, 1073, 1433, 1049, 1409, 1007, 1367, 929, 1289)(905, 1265, 990, 1350, 1039, 1399, 1069, 1429, 1078, 1438, 1075, 1435, 1055, 1415, 1015, 1375, 978, 1338, 991, 1351)(939, 1299, 1013, 1373, 949, 1309, 994, 1354, 1041, 1401, 1070, 1430, 1079, 1439, 1074, 1434, 1054, 1414, 1012, 1372)(970, 1330, 1029, 1389, 1003, 1363, 1019, 1379, 1057, 1417, 1076, 1436, 1080, 1440, 1077, 1437, 1065, 1425, 1028, 1388)
	L = (1, 723)(2, 726)(3, 729)(4, 731)(5, 721)(6, 734)(7, 722)(8, 724)(9, 739)(10, 741)(11, 742)(12, 743)(13, 725)(14, 747)(15, 749)(16, 727)(17, 728)(18, 730)(19, 757)(20, 759)(21, 760)(22, 761)(23, 763)(24, 732)(25, 765)(26, 733)(27, 770)(28, 772)(29, 773)(30, 735)(31, 775)(32, 736)(33, 779)(34, 737)(35, 738)(36, 740)(37, 787)(38, 789)(39, 790)(40, 791)(41, 794)(42, 796)(43, 797)(44, 744)(45, 801)(46, 745)(47, 803)(48, 746)(49, 748)(50, 808)(51, 810)(52, 811)(53, 812)(54, 750)(55, 816)(56, 751)(57, 818)(58, 752)(59, 821)(60, 753)(61, 823)(62, 754)(63, 827)(64, 755)(65, 756)(66, 758)(67, 768)(68, 836)(69, 837)(70, 838)(71, 841)(72, 843)(73, 762)(74, 826)(75, 847)(76, 848)(77, 850)(78, 852)(79, 853)(80, 764)(81, 857)(82, 766)(83, 861)(84, 767)(85, 835)(86, 769)(87, 771)(88, 778)(89, 869)(90, 870)(91, 871)(92, 874)(93, 876)(94, 877)(95, 774)(96, 881)(97, 776)(98, 885)(99, 777)(100, 868)(101, 888)(102, 780)(103, 892)(104, 781)(105, 894)(106, 782)(107, 897)(108, 783)(109, 899)(110, 784)(111, 903)(112, 785)(113, 786)(114, 788)(115, 910)(116, 911)(117, 912)(118, 914)(119, 915)(120, 792)(121, 902)(122, 919)(123, 920)(124, 793)(125, 795)(126, 924)(127, 925)(128, 926)(129, 798)(130, 930)(131, 932)(132, 933)(133, 934)(134, 799)(135, 935)(136, 800)(137, 938)(138, 940)(139, 941)(140, 802)(141, 943)(142, 804)(143, 805)(144, 947)(145, 806)(146, 807)(147, 809)(148, 954)(149, 955)(150, 956)(151, 958)(152, 959)(153, 813)(154, 962)(155, 900)(156, 964)(157, 965)(158, 814)(159, 966)(160, 815)(161, 969)(162, 913)(163, 904)(164, 817)(165, 972)(166, 819)(167, 820)(168, 977)(169, 957)(170, 948)(171, 822)(172, 980)(173, 824)(174, 983)(175, 825)(176, 846)(177, 986)(178, 828)(179, 987)(180, 829)(181, 953)(182, 830)(183, 989)(184, 831)(185, 990)(186, 832)(187, 950)(188, 833)(189, 834)(190, 963)(191, 996)(192, 997)(193, 839)(194, 993)(195, 854)(196, 840)(197, 842)(198, 1001)(199, 855)(200, 859)(201, 1002)(202, 844)(203, 845)(204, 998)(205, 1005)(206, 1006)(207, 898)(208, 849)(209, 851)(210, 856)(211, 1008)(212, 879)(213, 883)(214, 1009)(215, 1010)(216, 985)(217, 858)(218, 973)(219, 1013)(220, 927)(221, 921)(222, 860)(223, 1014)(224, 979)(225, 862)(226, 863)(227, 1018)(228, 864)(229, 994)(230, 865)(231, 1004)(232, 866)(233, 867)(234, 918)(235, 1021)(236, 1022)(237, 872)(238, 907)(239, 878)(240, 873)(241, 875)(242, 880)(243, 1024)(244, 890)(245, 1025)(246, 1026)(247, 909)(248, 882)(249, 981)(250, 1029)(251, 884)(252, 1030)(253, 942)(254, 886)(255, 887)(256, 889)(257, 944)(258, 991)(259, 891)(260, 1033)(261, 971)(262, 893)(263, 931)(264, 895)(265, 896)(266, 937)(267, 1036)(268, 901)(269, 928)(270, 1039)(271, 905)(272, 923)(273, 906)(274, 1041)(275, 908)(276, 1044)(277, 1043)(278, 1046)(279, 916)(280, 917)(281, 1045)(282, 999)(283, 1019)(284, 922)(285, 1047)(286, 951)(287, 929)(288, 1050)(289, 968)(290, 1051)(291, 936)(292, 939)(293, 949)(294, 1052)(295, 978)(296, 945)(297, 946)(298, 960)(299, 1057)(300, 952)(301, 1058)(302, 1048)(303, 961)(304, 1061)(305, 976)(306, 1062)(307, 967)(308, 970)(309, 1003)(310, 1063)(311, 974)(312, 975)(313, 1037)(314, 982)(315, 984)(316, 1068)(317, 1034)(318, 988)(319, 1069)(320, 992)(321, 1070)(322, 1000)(323, 995)(324, 1064)(325, 1066)(326, 1072)(327, 1059)(328, 1020)(329, 1007)(330, 1067)(331, 1071)(332, 1016)(333, 1011)(334, 1012)(335, 1015)(336, 1017)(337, 1076)(338, 1038)(339, 1040)(340, 1023)(341, 1056)(342, 1073)(343, 1031)(344, 1027)(345, 1028)(346, 1032)(347, 1035)(348, 1060)(349, 1078)(350, 1079)(351, 1042)(352, 1053)(353, 1049)(354, 1054)(355, 1055)(356, 1080)(357, 1065)(358, 1075)(359, 1074)(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) :: { ( 2, 4, 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 E13.1635
Graph:: bipartite
	v = 156 e = 720 f = 540
	degree seq :: [ 6^120, 20^36 ]

E13.1635 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 10})
Quotient :: dipole
Aut^+ = A5 x S3 (small group id <360, 121>)
Aut   = $<720, 771>$ (small group id <720, 771>)
|r| :: 2
Presentation :: [ Y1, Y2^2, R^2, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, (Y2 * Y3^-1)^3, (Y3^-2 * Y2 * Y3^4 * Y2)^2, (Y3^-1 * Y2 * Y3^-2 * Y2 * Y3^2 * Y2 * Y3^-1)^2, Y3^3 * Y2 * Y3^2 * Y2 * Y3^-1 * Y2 * Y3^2 * Y2 * Y3^-1 * Y2 * Y3 * Y2 * Y3^-1 * Y2, (Y3^-1 * Y1^-1)^10 ]
Map:: polytopal
	R = (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)(721, 1081, 722, 1082)(723, 1083, 727, 1087)(724, 1084, 729, 1089)(725, 1085, 731, 1091)(726, 1086, 733, 1093)(728, 1088, 736, 1096)(730, 1090, 739, 1099)(732, 1092, 742, 1102)(734, 1094, 745, 1105)(735, 1095, 747, 1107)(737, 1097, 750, 1110)(738, 1098, 752, 1112)(740, 1100, 755, 1115)(741, 1101, 757, 1117)(743, 1103, 760, 1120)(744, 1104, 762, 1122)(746, 1106, 765, 1125)(748, 1108, 768, 1128)(749, 1109, 770, 1130)(751, 1111, 773, 1133)(753, 1113, 776, 1136)(754, 1114, 778, 1138)(756, 1116, 781, 1141)(758, 1118, 783, 1143)(759, 1119, 785, 1145)(761, 1121, 788, 1148)(763, 1123, 791, 1151)(764, 1124, 793, 1153)(766, 1126, 796, 1156)(767, 1127, 797, 1157)(769, 1129, 800, 1160)(771, 1131, 803, 1163)(772, 1132, 805, 1165)(774, 1134, 808, 1168)(775, 1135, 809, 1169)(777, 1137, 812, 1172)(779, 1139, 815, 1175)(780, 1140, 817, 1177)(782, 1142, 820, 1180)(784, 1144, 823, 1183)(786, 1146, 826, 1186)(787, 1147, 828, 1188)(789, 1149, 831, 1191)(790, 1150, 832, 1192)(792, 1152, 835, 1195)(794, 1154, 838, 1198)(795, 1155, 840, 1200)(798, 1158, 844, 1204)(799, 1159, 846, 1206)(801, 1161, 849, 1209)(802, 1162, 850, 1210)(804, 1164, 853, 1213)(806, 1166, 856, 1216)(807, 1167, 858, 1218)(810, 1170, 862, 1222)(811, 1171, 864, 1224)(813, 1173, 867, 1227)(814, 1174, 868, 1228)(816, 1176, 871, 1231)(818, 1178, 874, 1234)(819, 1179, 860, 1220)(821, 1181, 878, 1238)(822, 1182, 880, 1240)(824, 1184, 883, 1243)(825, 1185, 884, 1244)(827, 1187, 887, 1247)(829, 1189, 890, 1250)(830, 1190, 892, 1252)(833, 1193, 896, 1256)(834, 1194, 898, 1258)(836, 1196, 901, 1261)(837, 1197, 902, 1262)(839, 1199, 905, 1265)(841, 1201, 908, 1268)(842, 1202, 894, 1254)(843, 1203, 911, 1271)(845, 1205, 914, 1274)(847, 1207, 917, 1277)(848, 1208, 919, 1279)(851, 1211, 923, 1283)(852, 1212, 925, 1285)(854, 1214, 893, 1253)(855, 1215, 928, 1288)(857, 1217, 931, 1291)(859, 1219, 888, 1248)(861, 1221, 936, 1296)(863, 1223, 939, 1299)(865, 1225, 942, 1302)(866, 1226, 943, 1303)(869, 1229, 946, 1306)(870, 1230, 948, 1308)(872, 1232, 910, 1270)(873, 1233, 950, 1310)(875, 1235, 952, 1312)(876, 1236, 906, 1266)(877, 1237, 955, 1315)(879, 1239, 958, 1318)(881, 1241, 961, 1321)(882, 1242, 963, 1323)(885, 1245, 967, 1327)(886, 1246, 969, 1329)(889, 1249, 972, 1332)(891, 1251, 975, 1335)(895, 1255, 980, 1340)(897, 1257, 983, 1343)(899, 1259, 986, 1346)(900, 1260, 987, 1347)(903, 1263, 990, 1350)(904, 1264, 992, 1352)(907, 1267, 994, 1354)(909, 1269, 996, 1356)(912, 1272, 966, 1326)(913, 1273, 960, 1320)(915, 1275, 977, 1337)(916, 1276, 957, 1317)(918, 1278, 1002, 1362)(920, 1280, 997, 1357)(921, 1281, 965, 1325)(922, 1282, 956, 1316)(924, 1284, 995, 1355)(926, 1286, 970, 1330)(927, 1287, 978, 1338)(929, 1289, 991, 1351)(930, 1290, 1009, 1369)(932, 1292, 988, 1348)(933, 1293, 959, 1319)(934, 1294, 971, 1331)(935, 1295, 984, 1344)(937, 1297, 989, 1349)(938, 1298, 985, 1345)(940, 1300, 979, 1339)(941, 1301, 982, 1342)(944, 1304, 976, 1336)(945, 1305, 981, 1341)(947, 1307, 973, 1333)(949, 1309, 998, 1358)(951, 1311, 968, 1328)(953, 1313, 964, 1324)(954, 1314, 993, 1353)(962, 1322, 1025, 1385)(974, 1334, 1032, 1392)(999, 1359, 1028, 1388)(1000, 1360, 1034, 1394)(1001, 1361, 1046, 1406)(1003, 1363, 1040, 1400)(1004, 1364, 1043, 1403)(1005, 1365, 1022, 1382)(1006, 1366, 1038, 1398)(1007, 1367, 1048, 1408)(1008, 1368, 1047, 1407)(1010, 1370, 1039, 1399)(1011, 1371, 1023, 1383)(1012, 1372, 1045, 1405)(1013, 1373, 1037, 1397)(1014, 1374, 1036, 1396)(1015, 1375, 1029, 1389)(1016, 1376, 1033, 1393)(1017, 1377, 1026, 1386)(1018, 1378, 1056, 1416)(1019, 1379, 1055, 1415)(1020, 1380, 1027, 1387)(1021, 1381, 1054, 1414)(1024, 1384, 1061, 1421)(1030, 1390, 1063, 1423)(1031, 1391, 1062, 1422)(1035, 1395, 1060, 1420)(1041, 1401, 1071, 1431)(1042, 1402, 1070, 1430)(1044, 1404, 1069, 1429)(1049, 1409, 1074, 1434)(1050, 1410, 1067, 1427)(1051, 1411, 1072, 1432)(1052, 1412, 1065, 1425)(1053, 1413, 1073, 1433)(1057, 1417, 1066, 1426)(1058, 1418, 1068, 1428)(1059, 1419, 1064, 1424)(1075, 1435, 1080, 1440)(1076, 1436, 1079, 1439)(1077, 1437, 1078, 1438)
	L = (1, 723)(2, 725)(3, 728)(4, 721)(5, 732)(6, 722)(7, 733)(8, 737)(9, 738)(10, 724)(11, 729)(12, 743)(13, 744)(14, 726)(15, 727)(16, 747)(17, 751)(18, 753)(19, 754)(20, 730)(21, 731)(22, 757)(23, 761)(24, 763)(25, 764)(26, 734)(27, 767)(28, 735)(29, 736)(30, 770)(31, 774)(32, 739)(33, 777)(34, 779)(35, 780)(36, 740)(37, 782)(38, 741)(39, 742)(40, 785)(41, 789)(42, 745)(43, 792)(44, 794)(45, 795)(46, 746)(47, 798)(48, 799)(49, 748)(50, 802)(51, 749)(52, 750)(53, 805)(54, 756)(55, 752)(56, 809)(57, 813)(58, 755)(59, 816)(60, 818)(61, 819)(62, 821)(63, 822)(64, 758)(65, 825)(66, 759)(67, 760)(68, 828)(69, 766)(70, 762)(71, 832)(72, 836)(73, 765)(74, 839)(75, 841)(76, 842)(77, 768)(78, 845)(79, 847)(80, 848)(81, 769)(82, 851)(83, 852)(84, 771)(85, 855)(86, 772)(87, 773)(88, 858)(89, 861)(90, 775)(91, 776)(92, 864)(93, 824)(94, 778)(95, 868)(96, 872)(97, 781)(98, 875)(99, 876)(100, 783)(101, 879)(102, 881)(103, 882)(104, 784)(105, 885)(106, 886)(107, 786)(108, 889)(109, 787)(110, 788)(111, 892)(112, 895)(113, 790)(114, 791)(115, 898)(116, 801)(117, 793)(118, 902)(119, 906)(120, 796)(121, 909)(122, 910)(123, 797)(124, 911)(125, 915)(126, 800)(127, 918)(128, 920)(129, 921)(130, 803)(131, 924)(132, 926)(133, 927)(134, 804)(135, 929)(136, 930)(137, 806)(138, 933)(139, 807)(140, 808)(141, 937)(142, 938)(143, 810)(144, 941)(145, 811)(146, 812)(147, 943)(148, 945)(149, 814)(150, 815)(151, 948)(152, 940)(153, 817)(154, 950)(155, 953)(156, 954)(157, 820)(158, 955)(159, 959)(160, 823)(161, 962)(162, 964)(163, 965)(164, 826)(165, 968)(166, 970)(167, 971)(168, 827)(169, 973)(170, 974)(171, 829)(172, 977)(173, 830)(174, 831)(175, 981)(176, 982)(177, 833)(178, 985)(179, 834)(180, 835)(181, 987)(182, 989)(183, 837)(184, 838)(185, 992)(186, 984)(187, 840)(188, 994)(189, 997)(190, 998)(191, 999)(192, 843)(193, 844)(194, 960)(195, 854)(196, 846)(197, 957)(198, 874)(199, 849)(200, 1004)(201, 867)(202, 850)(203, 956)(204, 1006)(205, 853)(206, 870)(207, 1007)(208, 856)(209, 1008)(210, 865)(211, 1010)(212, 857)(213, 1011)(214, 859)(215, 860)(216, 862)(217, 990)(218, 986)(219, 1014)(220, 863)(221, 983)(222, 1001)(223, 1015)(224, 866)(225, 1005)(226, 972)(227, 869)(228, 969)(229, 871)(230, 967)(231, 873)(232, 1002)(233, 1017)(234, 1021)(235, 1022)(236, 877)(237, 878)(238, 916)(239, 888)(240, 880)(241, 913)(242, 908)(243, 883)(244, 1027)(245, 901)(246, 884)(247, 912)(248, 1029)(249, 887)(250, 904)(251, 1030)(252, 890)(253, 1031)(254, 899)(255, 1033)(256, 891)(257, 1034)(258, 893)(259, 894)(260, 896)(261, 946)(262, 942)(263, 1037)(264, 897)(265, 939)(266, 1024)(267, 1038)(268, 900)(269, 1028)(270, 928)(271, 903)(272, 925)(273, 905)(274, 923)(275, 907)(276, 1025)(277, 1040)(278, 1044)(279, 936)(280, 914)(281, 917)(282, 1046)(283, 919)(284, 1048)(285, 922)(286, 932)(287, 1049)(288, 1050)(289, 931)(290, 1051)(291, 1052)(292, 934)(293, 935)(294, 1054)(295, 1055)(296, 944)(297, 947)(298, 949)(299, 951)(300, 952)(301, 1058)(302, 980)(303, 958)(304, 961)(305, 1061)(306, 963)(307, 1063)(308, 966)(309, 976)(310, 1064)(311, 1065)(312, 975)(313, 1066)(314, 1067)(315, 978)(316, 979)(317, 1069)(318, 1070)(319, 988)(320, 991)(321, 993)(322, 995)(323, 996)(324, 1073)(325, 1000)(326, 1009)(327, 1003)(328, 1060)(329, 1072)(330, 1012)(331, 1076)(332, 1077)(333, 1013)(334, 1071)(335, 1075)(336, 1016)(337, 1018)(338, 1019)(339, 1020)(340, 1023)(341, 1032)(342, 1026)(343, 1045)(344, 1057)(345, 1035)(346, 1079)(347, 1080)(348, 1036)(349, 1056)(350, 1078)(351, 1039)(352, 1041)(353, 1042)(354, 1043)(355, 1047)(356, 1059)(357, 1053)(358, 1062)(359, 1074)(360, 1068)(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) :: { ( 6, 20 ), ( 6, 20, 6, 20 ) }
Outer automorphisms :: reflexible
Dual of E13.1634
Graph:: simple bipartite
	v = 540 e = 720 f = 156
	degree seq :: [ 2^360, 4^180 ]

E13.1636 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 10})
Quotient :: dipole
Aut^+ = A5 x S3 (small group id <360, 121>)
Aut   = $<720, 771>$ (small group id <720, 771>)
|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)^3, Y1^10, (Y3 * Y1^4 * Y3 * Y1^-2)^2, (Y3 * Y1^-2 * Y3 * Y1^2 * Y3 * Y1^-2)^2, (Y3 * Y1 * Y3 * Y1^-1 * Y3 * Y1^2 * Y3 * Y1^-1)^2 ]
Map:: polytopal
	R = (1, 361, 2, 362, 5, 365, 11, 371, 21, 381, 37, 397, 36, 396, 20, 380, 10, 370, 4, 364)(3, 363, 7, 367, 15, 375, 27, 387, 47, 407, 77, 437, 54, 414, 31, 391, 17, 377, 8, 368)(6, 366, 13, 373, 25, 385, 43, 403, 71, 431, 114, 474, 76, 436, 46, 406, 26, 386, 14, 374)(9, 369, 18, 378, 32, 392, 55, 415, 89, 449, 134, 494, 84, 444, 51, 411, 29, 389, 16, 376)(12, 372, 23, 383, 41, 401, 67, 427, 108, 468, 169, 529, 113, 473, 70, 430, 42, 402, 24, 384)(19, 379, 34, 394, 58, 418, 94, 454, 148, 508, 224, 584, 147, 507, 93, 453, 57, 417, 33, 393)(22, 382, 39, 399, 65, 425, 104, 464, 163, 523, 244, 604, 168, 528, 107, 467, 66, 426, 40, 400)(28, 388, 49, 409, 81, 441, 128, 488, 198, 558, 236, 596, 161, 521, 131, 491, 82, 442, 50, 410)(30, 390, 52, 412, 85, 445, 135, 495, 207, 567, 237, 597, 184, 544, 118, 478, 73, 433, 44, 404)(35, 395, 60, 420, 97, 457, 153, 513, 230, 590, 298, 658, 229, 589, 152, 512, 96, 456, 59, 419)(38, 398, 63, 423, 102, 462, 159, 519, 239, 599, 306, 666, 243, 603, 162, 522, 103, 463, 64, 424)(45, 405, 74, 434, 119, 479, 185, 545, 154, 514, 232, 592, 258, 618, 173, 533, 110, 470, 68, 428)(48, 408, 79, 439, 126, 486, 194, 554, 282, 642, 327, 687, 284, 644, 197, 557, 127, 487, 80, 440)(53, 413, 87, 447, 138, 498, 212, 572, 277, 637, 308, 668, 240, 600, 211, 571, 137, 497, 86, 446)(56, 416, 91, 451, 144, 504, 219, 579, 241, 601, 160, 520, 106, 466, 166, 526, 145, 505, 92, 452)(61, 421, 99, 459, 156, 516, 234, 594, 301, 661, 339, 699, 300, 660, 233, 593, 155, 515, 98, 458)(62, 422, 100, 460, 157, 517, 235, 595, 302, 662, 340, 700, 305, 665, 238, 598, 158, 518, 101, 461)(69, 429, 111, 471, 174, 534, 151, 511, 95, 455, 150, 510, 227, 587, 248, 608, 165, 525, 105, 465)(72, 432, 116, 476, 181, 541, 266, 626, 228, 588, 281, 641, 196, 556, 269, 629, 182, 542, 117, 477)(75, 435, 121, 481, 188, 548, 276, 636, 321, 681, 342, 702, 303, 663, 275, 635, 187, 547, 120, 480)(78, 438, 124, 484, 193, 553, 280, 640, 326, 686, 341, 701, 322, 682, 262, 622, 177, 537, 125, 485)(83, 443, 132, 492, 203, 563, 287, 647, 213, 573, 247, 607, 164, 524, 246, 606, 200, 560, 129, 489)(88, 448, 140, 500, 215, 575, 293, 653, 333, 693, 344, 704, 312, 672, 245, 605, 214, 574, 139, 499)(90, 450, 142, 502, 217, 577, 271, 631, 304, 664, 343, 703, 335, 695, 295, 655, 218, 578, 143, 503)(109, 469, 171, 531, 255, 615, 220, 580, 146, 506, 222, 582, 268, 628, 319, 679, 256, 616, 172, 532)(112, 472, 176, 536, 261, 621, 320, 680, 351, 711, 332, 692, 290, 650, 208, 568, 260, 620, 175, 535)(115, 475, 179, 539, 265, 625, 223, 583, 296, 656, 336, 696, 352, 712, 316, 676, 251, 611, 180, 540)(122, 482, 190, 550, 141, 501, 216, 576, 294, 654, 334, 694, 346, 706, 307, 667, 278, 638, 189, 549)(123, 483, 191, 551, 252, 612, 317, 677, 345, 705, 359, 719, 355, 715, 325, 685, 279, 639, 192, 552)(130, 490, 201, 561, 259, 619, 210, 570, 136, 496, 209, 569, 291, 651, 318, 678, 257, 617, 195, 555)(133, 493, 205, 565, 288, 648, 330, 690, 348, 708, 310, 670, 254, 614, 170, 530, 253, 613, 204, 564)(149, 509, 225, 585, 286, 646, 202, 562, 242, 602, 309, 669, 347, 707, 337, 697, 297, 657, 226, 586)(167, 527, 250, 610, 315, 675, 350, 710, 338, 698, 299, 659, 231, 591, 272, 632, 314, 674, 249, 609)(178, 538, 263, 623, 311, 671, 349, 709, 358, 718, 356, 716, 331, 691, 289, 649, 206, 566, 264, 624)(183, 543, 270, 630, 221, 581, 274, 634, 186, 546, 273, 633, 199, 559, 285, 645, 313, 673, 267, 627)(283, 643, 328, 688, 357, 717, 360, 720, 354, 714, 324, 684, 292, 652, 329, 689, 353, 713, 323, 683)(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, 732)(6, 722)(7, 736)(8, 733)(9, 724)(10, 739)(11, 742)(12, 725)(13, 728)(14, 743)(15, 748)(16, 727)(17, 750)(18, 753)(19, 730)(20, 755)(21, 758)(22, 731)(23, 734)(24, 759)(25, 764)(26, 765)(27, 768)(28, 735)(29, 769)(30, 737)(31, 773)(32, 776)(33, 738)(34, 779)(35, 740)(36, 781)(37, 782)(38, 741)(39, 744)(40, 783)(41, 788)(42, 789)(43, 792)(44, 745)(45, 746)(46, 795)(47, 798)(48, 747)(49, 749)(50, 799)(51, 803)(52, 806)(53, 751)(54, 808)(55, 810)(56, 752)(57, 811)(58, 815)(59, 754)(60, 818)(61, 756)(62, 757)(63, 760)(64, 820)(65, 825)(66, 826)(67, 829)(68, 761)(69, 762)(70, 832)(71, 835)(72, 763)(73, 836)(74, 840)(75, 766)(76, 842)(77, 843)(78, 767)(79, 770)(80, 844)(81, 849)(82, 850)(83, 771)(84, 853)(85, 856)(86, 772)(87, 859)(88, 774)(89, 861)(90, 775)(91, 777)(92, 862)(93, 866)(94, 869)(95, 778)(96, 870)(97, 874)(98, 780)(99, 821)(100, 784)(101, 819)(102, 880)(103, 881)(104, 884)(105, 785)(106, 786)(107, 887)(108, 890)(109, 787)(110, 891)(111, 895)(112, 790)(113, 897)(114, 898)(115, 791)(116, 793)(117, 899)(118, 903)(119, 906)(120, 794)(121, 909)(122, 796)(123, 797)(124, 800)(125, 911)(126, 915)(127, 916)(128, 919)(129, 801)(130, 802)(131, 922)(132, 924)(133, 804)(134, 926)(135, 928)(136, 805)(137, 929)(138, 933)(139, 807)(140, 912)(141, 809)(142, 812)(143, 936)(144, 940)(145, 941)(146, 813)(147, 943)(148, 935)(149, 814)(150, 816)(151, 945)(152, 948)(153, 951)(154, 817)(155, 952)(156, 927)(157, 956)(158, 957)(159, 960)(160, 822)(161, 823)(162, 962)(163, 965)(164, 824)(165, 966)(166, 969)(167, 827)(168, 971)(169, 972)(170, 828)(171, 830)(172, 973)(173, 977)(174, 979)(175, 831)(176, 982)(177, 833)(178, 834)(179, 837)(180, 983)(181, 987)(182, 988)(183, 838)(184, 991)(185, 992)(186, 839)(187, 993)(188, 997)(189, 841)(190, 984)(191, 845)(192, 860)(193, 1001)(194, 978)(195, 846)(196, 847)(197, 1003)(198, 995)(199, 848)(200, 1005)(201, 1006)(202, 851)(203, 976)(204, 852)(205, 1009)(206, 854)(207, 876)(208, 855)(209, 857)(210, 980)(211, 961)(212, 1012)(213, 858)(214, 967)(215, 868)(216, 863)(217, 990)(218, 1004)(219, 1011)(220, 864)(221, 865)(222, 985)(223, 867)(224, 999)(225, 871)(226, 1013)(227, 986)(228, 872)(229, 1000)(230, 1008)(231, 873)(232, 875)(233, 1002)(234, 1010)(235, 1023)(236, 877)(237, 878)(238, 1024)(239, 1027)(240, 879)(241, 931)(242, 882)(243, 1030)(244, 1031)(245, 883)(246, 885)(247, 934)(248, 1033)(249, 886)(250, 1036)(251, 888)(252, 889)(253, 892)(254, 1037)(255, 1038)(256, 923)(257, 893)(258, 914)(259, 894)(260, 930)(261, 1041)(262, 896)(263, 900)(264, 910)(265, 942)(266, 947)(267, 901)(268, 902)(269, 1043)(270, 937)(271, 904)(272, 905)(273, 907)(274, 1034)(275, 918)(276, 1044)(277, 908)(278, 1028)(279, 944)(280, 949)(281, 913)(282, 953)(283, 917)(284, 938)(285, 920)(286, 921)(287, 1049)(288, 950)(289, 925)(290, 954)(291, 939)(292, 932)(293, 946)(294, 1047)(295, 1048)(296, 1045)(297, 1055)(298, 1051)(299, 1050)(300, 1054)(301, 1056)(302, 1061)(303, 955)(304, 958)(305, 1064)(306, 1065)(307, 959)(308, 998)(309, 1068)(310, 963)(311, 964)(312, 1069)(313, 968)(314, 994)(315, 1071)(316, 970)(317, 974)(318, 975)(319, 1073)(320, 1074)(321, 981)(322, 1062)(323, 989)(324, 996)(325, 1016)(326, 1076)(327, 1014)(328, 1015)(329, 1007)(330, 1019)(331, 1018)(332, 1072)(333, 1063)(334, 1020)(335, 1017)(336, 1021)(337, 1077)(338, 1067)(339, 1075)(340, 1078)(341, 1022)(342, 1042)(343, 1053)(344, 1025)(345, 1026)(346, 1079)(347, 1058)(348, 1029)(349, 1032)(350, 1080)(351, 1035)(352, 1052)(353, 1039)(354, 1040)(355, 1059)(356, 1046)(357, 1057)(358, 1060)(359, 1066)(360, 1070)(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, 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 E13.1633
Graph:: simple bipartite
	v = 396 e = 720 f = 300
	degree seq :: [ 2^360, 20^36 ]

E13.1637 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 10})
Quotient :: dipole
Aut^+ = A5 x S3 (small group id <360, 121>)
Aut   = $<720, 771>$ (small group id <720, 771>)
|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, Y2^10, (R * Y2^4 * Y1)^2, (Y2^-1 * Y1 * Y2^2 * Y1 * Y2^-3)^2, Y2^2 * Y1 * Y2^3 * Y1 * Y2^-1 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2^2 * Y1 * Y2^-1 * Y1, (Y2^-1 * Y1 * Y2^-2 * Y1 * Y2^2 * Y1 * Y2^-1)^2 ]
Map::
	R = (1, 361, 2, 362)(3, 363, 7, 367)(4, 364, 9, 369)(5, 365, 11, 371)(6, 366, 13, 373)(8, 368, 16, 376)(10, 370, 19, 379)(12, 372, 22, 382)(14, 374, 25, 385)(15, 375, 27, 387)(17, 377, 30, 390)(18, 378, 32, 392)(20, 380, 35, 395)(21, 381, 37, 397)(23, 383, 40, 400)(24, 384, 42, 402)(26, 386, 45, 405)(28, 388, 48, 408)(29, 389, 50, 410)(31, 391, 53, 413)(33, 393, 56, 416)(34, 394, 58, 418)(36, 396, 61, 421)(38, 398, 63, 423)(39, 399, 65, 425)(41, 401, 68, 428)(43, 403, 71, 431)(44, 404, 73, 433)(46, 406, 76, 436)(47, 407, 77, 437)(49, 409, 80, 440)(51, 411, 83, 443)(52, 412, 85, 445)(54, 414, 88, 448)(55, 415, 89, 449)(57, 417, 92, 452)(59, 419, 95, 455)(60, 420, 97, 457)(62, 422, 100, 460)(64, 424, 103, 463)(66, 426, 106, 466)(67, 427, 108, 468)(69, 429, 111, 471)(70, 430, 112, 472)(72, 432, 115, 475)(74, 434, 118, 478)(75, 435, 120, 480)(78, 438, 124, 484)(79, 439, 126, 486)(81, 441, 129, 489)(82, 442, 130, 490)(84, 444, 133, 493)(86, 446, 136, 496)(87, 447, 138, 498)(90, 450, 142, 502)(91, 451, 144, 504)(93, 453, 147, 507)(94, 454, 148, 508)(96, 456, 151, 511)(98, 458, 154, 514)(99, 459, 140, 500)(101, 461, 158, 518)(102, 462, 160, 520)(104, 464, 163, 523)(105, 465, 164, 524)(107, 467, 167, 527)(109, 469, 170, 530)(110, 470, 172, 532)(113, 473, 176, 536)(114, 474, 178, 538)(116, 476, 181, 541)(117, 477, 182, 542)(119, 479, 185, 545)(121, 481, 188, 548)(122, 482, 174, 534)(123, 483, 191, 551)(125, 485, 194, 554)(127, 487, 197, 557)(128, 488, 199, 559)(131, 491, 203, 563)(132, 492, 205, 565)(134, 494, 173, 533)(135, 495, 208, 568)(137, 497, 211, 571)(139, 499, 168, 528)(141, 501, 216, 576)(143, 503, 219, 579)(145, 505, 222, 582)(146, 506, 223, 583)(149, 509, 226, 586)(150, 510, 228, 588)(152, 512, 190, 550)(153, 513, 230, 590)(155, 515, 232, 592)(156, 516, 186, 546)(157, 517, 235, 595)(159, 519, 238, 598)(161, 521, 241, 601)(162, 522, 243, 603)(165, 525, 247, 607)(166, 526, 249, 609)(169, 529, 252, 612)(171, 531, 255, 615)(175, 535, 260, 620)(177, 537, 263, 623)(179, 539, 266, 626)(180, 540, 267, 627)(183, 543, 270, 630)(184, 544, 272, 632)(187, 547, 274, 634)(189, 549, 276, 636)(192, 552, 246, 606)(193, 553, 240, 600)(195, 555, 257, 617)(196, 556, 237, 597)(198, 558, 282, 642)(200, 560, 277, 637)(201, 561, 245, 605)(202, 562, 236, 596)(204, 564, 275, 635)(206, 566, 250, 610)(207, 567, 258, 618)(209, 569, 271, 631)(210, 570, 289, 649)(212, 572, 268, 628)(213, 573, 239, 599)(214, 574, 251, 611)(215, 575, 264, 624)(217, 577, 269, 629)(218, 578, 265, 625)(220, 580, 259, 619)(221, 581, 262, 622)(224, 584, 256, 616)(225, 585, 261, 621)(227, 587, 253, 613)(229, 589, 278, 638)(231, 591, 248, 608)(233, 593, 244, 604)(234, 594, 273, 633)(242, 602, 305, 665)(254, 614, 312, 672)(279, 639, 308, 668)(280, 640, 314, 674)(281, 641, 326, 686)(283, 643, 320, 680)(284, 644, 323, 683)(285, 645, 302, 662)(286, 646, 318, 678)(287, 647, 328, 688)(288, 648, 327, 687)(290, 650, 319, 679)(291, 651, 303, 663)(292, 652, 325, 685)(293, 653, 317, 677)(294, 654, 316, 676)(295, 655, 309, 669)(296, 656, 313, 673)(297, 657, 306, 666)(298, 658, 336, 696)(299, 659, 335, 695)(300, 660, 307, 667)(301, 661, 334, 694)(304, 664, 341, 701)(310, 670, 343, 703)(311, 671, 342, 702)(315, 675, 340, 700)(321, 681, 351, 711)(322, 682, 350, 710)(324, 684, 349, 709)(329, 689, 354, 714)(330, 690, 347, 707)(331, 691, 352, 712)(332, 692, 345, 705)(333, 693, 353, 713)(337, 697, 346, 706)(338, 698, 348, 708)(339, 699, 344, 704)(355, 715, 360, 720)(356, 716, 359, 719)(357, 717, 358, 718)(721, 1081, 723, 1083, 728, 1088, 737, 1097, 751, 1111, 774, 1134, 756, 1116, 740, 1100, 730, 1090, 724, 1084)(722, 1082, 725, 1085, 732, 1092, 743, 1103, 761, 1121, 789, 1149, 766, 1126, 746, 1106, 734, 1094, 726, 1086)(727, 1087, 733, 1093, 744, 1104, 763, 1123, 792, 1152, 836, 1196, 801, 1161, 769, 1129, 748, 1108, 735, 1095)(729, 1089, 738, 1098, 753, 1113, 777, 1137, 813, 1173, 824, 1184, 784, 1144, 758, 1118, 741, 1101, 731, 1091)(736, 1096, 747, 1107, 767, 1127, 798, 1158, 845, 1205, 915, 1275, 854, 1214, 804, 1164, 771, 1131, 749, 1109)(739, 1099, 754, 1114, 779, 1139, 816, 1176, 872, 1232, 940, 1300, 863, 1223, 810, 1170, 775, 1135, 752, 1112)(742, 1102, 757, 1117, 782, 1142, 821, 1181, 879, 1239, 959, 1319, 888, 1248, 827, 1187, 786, 1146, 759, 1119)(745, 1105, 764, 1124, 794, 1154, 839, 1199, 906, 1266, 984, 1344, 897, 1257, 833, 1193, 790, 1150, 762, 1122)(750, 1110, 770, 1130, 802, 1162, 851, 1211, 924, 1284, 1006, 1366, 932, 1292, 857, 1217, 806, 1166, 772, 1132)(755, 1115, 780, 1140, 818, 1178, 875, 1235, 953, 1313, 1017, 1377, 947, 1307, 869, 1229, 814, 1174, 778, 1138)(760, 1120, 785, 1145, 825, 1185, 885, 1245, 968, 1328, 1029, 1389, 976, 1336, 891, 1251, 829, 1189, 787, 1147)(765, 1125, 795, 1155, 841, 1201, 909, 1269, 997, 1357, 1040, 1400, 991, 1351, 903, 1263, 837, 1197, 793, 1153)(768, 1128, 799, 1159, 847, 1207, 918, 1278, 874, 1234, 950, 1310, 967, 1327, 912, 1272, 843, 1203, 797, 1157)(773, 1133, 805, 1165, 855, 1215, 929, 1289, 1008, 1368, 1050, 1410, 1012, 1372, 934, 1294, 859, 1219, 807, 1167)(776, 1136, 809, 1169, 861, 1221, 937, 1297, 990, 1350, 928, 1288, 856, 1216, 930, 1290, 865, 1225, 811, 1171)(781, 1141, 819, 1179, 876, 1236, 954, 1314, 1021, 1381, 1058, 1418, 1019, 1379, 951, 1311, 873, 1233, 817, 1177)(783, 1143, 822, 1182, 881, 1241, 962, 1322, 908, 1268, 994, 1354, 923, 1283, 956, 1316, 877, 1237, 820, 1180)(788, 1148, 828, 1188, 889, 1249, 973, 1333, 1031, 1391, 1065, 1425, 1035, 1395, 978, 1338, 893, 1253, 830, 1190)(791, 1151, 832, 1192, 895, 1255, 981, 1341, 946, 1306, 972, 1332, 890, 1250, 974, 1334, 899, 1259, 834, 1194)(796, 1156, 842, 1202, 910, 1270, 998, 1358, 1044, 1404, 1073, 1433, 1042, 1402, 995, 1355, 907, 1267, 840, 1200)(800, 1160, 848, 1208, 920, 1280, 1004, 1364, 1048, 1408, 1060, 1420, 1023, 1383, 958, 1318, 916, 1276, 846, 1206)(803, 1163, 852, 1212, 926, 1286, 870, 1230, 815, 1175, 868, 1228, 945, 1305, 1005, 1365, 922, 1282, 850, 1210)(808, 1168, 858, 1218, 933, 1293, 1011, 1371, 1052, 1412, 1077, 1437, 1053, 1413, 1013, 1373, 935, 1295, 860, 1220)(812, 1172, 864, 1224, 941, 1301, 983, 1343, 1037, 1397, 1069, 1429, 1056, 1416, 1016, 1376, 944, 1304, 866, 1226)(823, 1183, 882, 1242, 964, 1324, 1027, 1387, 1063, 1423, 1045, 1405, 1000, 1360, 914, 1274, 960, 1320, 880, 1240)(826, 1186, 886, 1246, 970, 1330, 904, 1264, 838, 1198, 902, 1262, 989, 1349, 1028, 1388, 966, 1326, 884, 1244)(831, 1191, 892, 1252, 977, 1337, 1034, 1394, 1067, 1427, 1080, 1440, 1068, 1428, 1036, 1396, 979, 1339, 894, 1254)(835, 1195, 898, 1258, 985, 1345, 939, 1299, 1014, 1374, 1054, 1414, 1071, 1431, 1039, 1399, 988, 1348, 900, 1260)(844, 1204, 911, 1271, 999, 1359, 936, 1296, 862, 1222, 938, 1298, 986, 1346, 1024, 1384, 961, 1321, 913, 1273)(849, 1209, 921, 1281, 867, 1227, 943, 1303, 1015, 1375, 1055, 1415, 1075, 1435, 1047, 1407, 1003, 1363, 919, 1279)(853, 1213, 927, 1287, 1007, 1367, 1049, 1409, 1072, 1432, 1041, 1401, 993, 1353, 905, 1265, 992, 1352, 925, 1285)(871, 1231, 948, 1308, 969, 1329, 887, 1247, 971, 1331, 1030, 1390, 1064, 1424, 1057, 1417, 1018, 1378, 949, 1309)(878, 1238, 955, 1315, 1022, 1382, 980, 1340, 896, 1256, 982, 1342, 942, 1302, 1001, 1361, 917, 1277, 957, 1317)(883, 1243, 965, 1325, 901, 1261, 987, 1347, 1038, 1398, 1070, 1430, 1078, 1438, 1062, 1422, 1026, 1386, 963, 1323)(931, 1291, 1010, 1370, 1051, 1411, 1076, 1436, 1059, 1419, 1020, 1380, 952, 1312, 1002, 1362, 1046, 1406, 1009, 1369)(975, 1335, 1033, 1393, 1066, 1426, 1079, 1439, 1074, 1434, 1043, 1403, 996, 1356, 1025, 1385, 1061, 1421, 1032, 1392)
	L = (1, 722)(2, 721)(3, 727)(4, 729)(5, 731)(6, 733)(7, 723)(8, 736)(9, 724)(10, 739)(11, 725)(12, 742)(13, 726)(14, 745)(15, 747)(16, 728)(17, 750)(18, 752)(19, 730)(20, 755)(21, 757)(22, 732)(23, 760)(24, 762)(25, 734)(26, 765)(27, 735)(28, 768)(29, 770)(30, 737)(31, 773)(32, 738)(33, 776)(34, 778)(35, 740)(36, 781)(37, 741)(38, 783)(39, 785)(40, 743)(41, 788)(42, 744)(43, 791)(44, 793)(45, 746)(46, 796)(47, 797)(48, 748)(49, 800)(50, 749)(51, 803)(52, 805)(53, 751)(54, 808)(55, 809)(56, 753)(57, 812)(58, 754)(59, 815)(60, 817)(61, 756)(62, 820)(63, 758)(64, 823)(65, 759)(66, 826)(67, 828)(68, 761)(69, 831)(70, 832)(71, 763)(72, 835)(73, 764)(74, 838)(75, 840)(76, 766)(77, 767)(78, 844)(79, 846)(80, 769)(81, 849)(82, 850)(83, 771)(84, 853)(85, 772)(86, 856)(87, 858)(88, 774)(89, 775)(90, 862)(91, 864)(92, 777)(93, 867)(94, 868)(95, 779)(96, 871)(97, 780)(98, 874)(99, 860)(100, 782)(101, 878)(102, 880)(103, 784)(104, 883)(105, 884)(106, 786)(107, 887)(108, 787)(109, 890)(110, 892)(111, 789)(112, 790)(113, 896)(114, 898)(115, 792)(116, 901)(117, 902)(118, 794)(119, 905)(120, 795)(121, 908)(122, 894)(123, 911)(124, 798)(125, 914)(126, 799)(127, 917)(128, 919)(129, 801)(130, 802)(131, 923)(132, 925)(133, 804)(134, 893)(135, 928)(136, 806)(137, 931)(138, 807)(139, 888)(140, 819)(141, 936)(142, 810)(143, 939)(144, 811)(145, 942)(146, 943)(147, 813)(148, 814)(149, 946)(150, 948)(151, 816)(152, 910)(153, 950)(154, 818)(155, 952)(156, 906)(157, 955)(158, 821)(159, 958)(160, 822)(161, 961)(162, 963)(163, 824)(164, 825)(165, 967)(166, 969)(167, 827)(168, 859)(169, 972)(170, 829)(171, 975)(172, 830)(173, 854)(174, 842)(175, 980)(176, 833)(177, 983)(178, 834)(179, 986)(180, 987)(181, 836)(182, 837)(183, 990)(184, 992)(185, 839)(186, 876)(187, 994)(188, 841)(189, 996)(190, 872)(191, 843)(192, 966)(193, 960)(194, 845)(195, 977)(196, 957)(197, 847)(198, 1002)(199, 848)(200, 997)(201, 965)(202, 956)(203, 851)(204, 995)(205, 852)(206, 970)(207, 978)(208, 855)(209, 991)(210, 1009)(211, 857)(212, 988)(213, 959)(214, 971)(215, 984)(216, 861)(217, 989)(218, 985)(219, 863)(220, 979)(221, 982)(222, 865)(223, 866)(224, 976)(225, 981)(226, 869)(227, 973)(228, 870)(229, 998)(230, 873)(231, 968)(232, 875)(233, 964)(234, 993)(235, 877)(236, 922)(237, 916)(238, 879)(239, 933)(240, 913)(241, 881)(242, 1025)(243, 882)(244, 953)(245, 921)(246, 912)(247, 885)(248, 951)(249, 886)(250, 926)(251, 934)(252, 889)(253, 947)(254, 1032)(255, 891)(256, 944)(257, 915)(258, 927)(259, 940)(260, 895)(261, 945)(262, 941)(263, 897)(264, 935)(265, 938)(266, 899)(267, 900)(268, 932)(269, 937)(270, 903)(271, 929)(272, 904)(273, 954)(274, 907)(275, 924)(276, 909)(277, 920)(278, 949)(279, 1028)(280, 1034)(281, 1046)(282, 918)(283, 1040)(284, 1043)(285, 1022)(286, 1038)(287, 1048)(288, 1047)(289, 930)(290, 1039)(291, 1023)(292, 1045)(293, 1037)(294, 1036)(295, 1029)(296, 1033)(297, 1026)(298, 1056)(299, 1055)(300, 1027)(301, 1054)(302, 1005)(303, 1011)(304, 1061)(305, 962)(306, 1017)(307, 1020)(308, 999)(309, 1015)(310, 1063)(311, 1062)(312, 974)(313, 1016)(314, 1000)(315, 1060)(316, 1014)(317, 1013)(318, 1006)(319, 1010)(320, 1003)(321, 1071)(322, 1070)(323, 1004)(324, 1069)(325, 1012)(326, 1001)(327, 1008)(328, 1007)(329, 1074)(330, 1067)(331, 1072)(332, 1065)(333, 1073)(334, 1021)(335, 1019)(336, 1018)(337, 1066)(338, 1068)(339, 1064)(340, 1035)(341, 1024)(342, 1031)(343, 1030)(344, 1059)(345, 1052)(346, 1057)(347, 1050)(348, 1058)(349, 1044)(350, 1042)(351, 1041)(352, 1051)(353, 1053)(354, 1049)(355, 1080)(356, 1079)(357, 1078)(358, 1077)(359, 1076)(360, 1075)(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, 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 E13.1638
Graph:: bipartite
	v = 216 e = 720 f = 480
	degree seq :: [ 4^180, 20^36 ]

E13.1638 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 10})
Quotient :: dipole
Aut^+ = A5 x S3 (small group id <360, 121>)
Aut   = $<720, 771>$ (small group id <720, 771>)
|r| :: 2
Presentation :: [ Y2, R^2, Y1^3, (Y3^-1 * Y1^-1)^2, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, (Y3^-2 * Y1 * Y3^-3 * Y1)^2, Y3^-6 * Y1 * Y3^2 * Y1 * Y3^2 * Y1 * Y3^-2, Y3^4 * Y1^-1 * Y3^-2 * Y1 * Y3^-5 * Y1^-1 * Y3 * Y1^-1, Y3^3 * Y1^-1 * Y3^-2 * Y1 * Y3^4 * Y1^-1 * Y3^-3 * Y1^-1, (Y3 * Y2^-1)^10 ]
Map:: polytopal
	R = (1, 361, 2, 362, 4, 364)(3, 363, 8, 368, 10, 370)(5, 365, 12, 372, 6, 366)(7, 367, 15, 375, 11, 371)(9, 369, 18, 378, 20, 380)(13, 373, 25, 385, 23, 383)(14, 374, 24, 384, 28, 388)(16, 376, 31, 391, 29, 389)(17, 377, 33, 393, 21, 381)(19, 379, 36, 396, 38, 398)(22, 382, 30, 390, 42, 402)(26, 386, 47, 407, 45, 405)(27, 387, 49, 409, 51, 411)(32, 392, 57, 417, 55, 415)(34, 394, 61, 421, 59, 419)(35, 395, 63, 423, 39, 399)(37, 397, 66, 426, 68, 428)(40, 400, 60, 420, 72, 432)(41, 401, 73, 433, 75, 435)(43, 403, 46, 406, 78, 438)(44, 404, 79, 439, 52, 412)(48, 408, 85, 445, 83, 443)(50, 410, 87, 447, 89, 449)(53, 413, 56, 416, 93, 453)(54, 414, 94, 454, 76, 436)(58, 418, 100, 460, 98, 458)(62, 422, 105, 465, 103, 463)(64, 424, 109, 469, 107, 467)(65, 425, 111, 471, 69, 429)(67, 427, 114, 474, 115, 475)(70, 430, 108, 468, 119, 479)(71, 431, 120, 480, 122, 482)(74, 434, 125, 485, 126, 486)(77, 437, 129, 489, 131, 491)(80, 440, 135, 495, 133, 493)(81, 441, 84, 444, 138, 498)(82, 442, 139, 499, 132, 492)(86, 446, 144, 504, 90, 450)(88, 448, 147, 507, 148, 508)(91, 451, 134, 494, 152, 512)(92, 452, 153, 513, 155, 515)(95, 455, 159, 519, 157, 517)(96, 456, 99, 459, 162, 522)(97, 457, 163, 523, 156, 516)(101, 461, 104, 464, 169, 529)(102, 462, 170, 530, 123, 483)(106, 466, 176, 536, 174, 534)(110, 470, 181, 541, 179, 539)(112, 472, 185, 545, 183, 543)(113, 473, 187, 547, 116, 476)(117, 477, 184, 544, 164, 524)(118, 478, 193, 553, 166, 526)(121, 481, 197, 557, 198, 558)(124, 484, 201, 561, 127, 487)(128, 488, 158, 518, 207, 567)(130, 490, 209, 569, 211, 571)(136, 496, 216, 576, 215, 575)(137, 497, 217, 577, 219, 579)(140, 500, 205, 565, 221, 581)(141, 501, 143, 503, 224, 584)(142, 502, 206, 566, 220, 580)(145, 505, 229, 589, 227, 587)(146, 506, 231, 591, 149, 509)(150, 510, 228, 588, 171, 531)(151, 511, 237, 597, 173, 533)(154, 514, 241, 601, 243, 603)(160, 520, 247, 607, 246, 606)(161, 521, 248, 608, 250, 610)(165, 525, 167, 527, 253, 613)(168, 528, 256, 616, 258, 618)(172, 532, 175, 535, 261, 621)(177, 537, 180, 540, 240, 600)(178, 538, 239, 599, 195, 555)(182, 542, 234, 594, 233, 593)(186, 546, 272, 632, 270, 630)(188, 548, 274, 634, 230, 590)(189, 549, 242, 602, 190, 550)(191, 551, 238, 598, 262, 622)(192, 552, 251, 611, 264, 624)(194, 554, 254, 614, 278, 638)(196, 556, 214, 574, 199, 559)(200, 560, 244, 604, 213, 573)(202, 562, 283, 643, 282, 642)(203, 563, 273, 633, 204, 564)(208, 568, 245, 605, 212, 572)(210, 570, 263, 623, 265, 625)(218, 578, 292, 652, 252, 612)(222, 582, 255, 615, 285, 645)(223, 583, 257, 617, 295, 655)(225, 585, 235, 595, 286, 646)(226, 586, 236, 596, 259, 619)(232, 592, 299, 659, 284, 644)(249, 609, 308, 668, 260, 620)(266, 626, 298, 658, 293, 653)(267, 627, 268, 628, 317, 677)(269, 629, 271, 631, 305, 665)(275, 635, 322, 682, 321, 681)(276, 636, 314, 674, 318, 678)(277, 637, 315, 675, 325, 685)(279, 639, 309, 669, 289, 649)(280, 640, 323, 683, 281, 641)(287, 647, 328, 688, 288, 648)(290, 650, 291, 651, 332, 692)(294, 654, 335, 695, 331, 691)(296, 656, 333, 693, 301, 661)(297, 657, 330, 690, 302, 662)(300, 660, 329, 689, 337, 697)(303, 663, 339, 699, 304, 664)(306, 666, 307, 667, 343, 703)(310, 670, 334, 694, 342, 702)(311, 671, 344, 704, 326, 686)(312, 672, 341, 701, 327, 687)(313, 673, 345, 705, 316, 676)(319, 679, 320, 680, 340, 700)(324, 684, 338, 698, 352, 712)(336, 696, 346, 706, 347, 707)(348, 708, 357, 717, 349, 709)(350, 710, 351, 711, 355, 715)(353, 713, 354, 714, 356, 716)(358, 718, 360, 720, 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, 729)(4, 731)(5, 721)(6, 734)(7, 722)(8, 724)(9, 739)(10, 741)(11, 742)(12, 743)(13, 725)(14, 747)(15, 749)(16, 727)(17, 728)(18, 730)(19, 757)(20, 759)(21, 760)(22, 761)(23, 763)(24, 732)(25, 765)(26, 733)(27, 770)(28, 772)(29, 773)(30, 735)(31, 775)(32, 736)(33, 779)(34, 737)(35, 738)(36, 740)(37, 787)(38, 789)(39, 790)(40, 791)(41, 794)(42, 796)(43, 797)(44, 744)(45, 801)(46, 745)(47, 803)(48, 746)(49, 748)(50, 808)(51, 810)(52, 811)(53, 812)(54, 750)(55, 816)(56, 751)(57, 818)(58, 752)(59, 821)(60, 753)(61, 823)(62, 754)(63, 827)(64, 755)(65, 756)(66, 758)(67, 768)(68, 836)(69, 837)(70, 838)(71, 841)(72, 843)(73, 762)(74, 826)(75, 847)(76, 848)(77, 850)(78, 852)(79, 853)(80, 764)(81, 857)(82, 766)(83, 861)(84, 767)(85, 835)(86, 769)(87, 771)(88, 778)(89, 869)(90, 870)(91, 871)(92, 874)(93, 876)(94, 877)(95, 774)(96, 881)(97, 776)(98, 885)(99, 777)(100, 868)(101, 888)(102, 780)(103, 892)(104, 781)(105, 894)(106, 782)(107, 897)(108, 783)(109, 899)(110, 784)(111, 903)(112, 785)(113, 786)(114, 788)(115, 910)(116, 911)(117, 912)(118, 914)(119, 915)(120, 792)(121, 902)(122, 919)(123, 920)(124, 793)(125, 795)(126, 924)(127, 925)(128, 926)(129, 798)(130, 930)(131, 932)(132, 933)(133, 934)(134, 799)(135, 935)(136, 800)(137, 938)(138, 940)(139, 941)(140, 802)(141, 943)(142, 804)(143, 805)(144, 947)(145, 806)(146, 807)(147, 809)(148, 954)(149, 955)(150, 956)(151, 958)(152, 959)(153, 813)(154, 962)(155, 900)(156, 964)(157, 965)(158, 814)(159, 966)(160, 815)(161, 969)(162, 913)(163, 904)(164, 817)(165, 972)(166, 819)(167, 820)(168, 977)(169, 957)(170, 948)(171, 822)(172, 980)(173, 824)(174, 983)(175, 825)(176, 846)(177, 986)(178, 828)(179, 987)(180, 829)(181, 953)(182, 830)(183, 989)(184, 831)(185, 990)(186, 832)(187, 950)(188, 833)(189, 834)(190, 963)(191, 996)(192, 997)(193, 839)(194, 993)(195, 854)(196, 840)(197, 842)(198, 1001)(199, 855)(200, 859)(201, 1002)(202, 844)(203, 845)(204, 998)(205, 1005)(206, 1006)(207, 898)(208, 849)(209, 851)(210, 856)(211, 1008)(212, 879)(213, 883)(214, 1009)(215, 1010)(216, 985)(217, 858)(218, 973)(219, 1013)(220, 927)(221, 921)(222, 860)(223, 1014)(224, 979)(225, 862)(226, 863)(227, 1018)(228, 864)(229, 994)(230, 865)(231, 1004)(232, 866)(233, 867)(234, 918)(235, 1021)(236, 1022)(237, 872)(238, 907)(239, 878)(240, 873)(241, 875)(242, 880)(243, 1024)(244, 890)(245, 1025)(246, 1026)(247, 909)(248, 882)(249, 981)(250, 1029)(251, 884)(252, 1030)(253, 942)(254, 886)(255, 887)(256, 889)(257, 944)(258, 991)(259, 891)(260, 1033)(261, 971)(262, 893)(263, 931)(264, 895)(265, 896)(266, 937)(267, 1036)(268, 901)(269, 928)(270, 1039)(271, 905)(272, 923)(273, 906)(274, 1041)(275, 908)(276, 1044)(277, 1043)(278, 1046)(279, 916)(280, 917)(281, 1045)(282, 999)(283, 1019)(284, 922)(285, 1047)(286, 951)(287, 929)(288, 1050)(289, 968)(290, 1051)(291, 936)(292, 939)(293, 949)(294, 1052)(295, 978)(296, 945)(297, 946)(298, 960)(299, 1057)(300, 952)(301, 1058)(302, 1048)(303, 961)(304, 1061)(305, 976)(306, 1062)(307, 967)(308, 970)(309, 1003)(310, 1063)(311, 974)(312, 975)(313, 1037)(314, 982)(315, 984)(316, 1068)(317, 1034)(318, 988)(319, 1069)(320, 992)(321, 1070)(322, 1000)(323, 995)(324, 1064)(325, 1066)(326, 1072)(327, 1059)(328, 1020)(329, 1007)(330, 1067)(331, 1071)(332, 1016)(333, 1011)(334, 1012)(335, 1015)(336, 1017)(337, 1076)(338, 1038)(339, 1040)(340, 1023)(341, 1056)(342, 1073)(343, 1031)(344, 1027)(345, 1028)(346, 1032)(347, 1035)(348, 1060)(349, 1078)(350, 1079)(351, 1042)(352, 1053)(353, 1049)(354, 1054)(355, 1055)(356, 1080)(357, 1065)(358, 1075)(359, 1074)(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, 20 ), ( 4, 20, 4, 20, 4, 20 ) }
Outer automorphisms :: reflexible
Dual of E13.1637
Graph:: simple bipartite
	v = 480 e = 720 f = 216
	degree seq :: [ 2^360, 6^120 ]

## Checksum: 1638 records.
## Written on: Thu Oct 17 23:53:09 CEST 2019