## Begin on: Thu Oct 17 04:53:50 CEST 2019

ENUMERATION
No. of records: 986

FAMILY (oriented family) : isomorphism classes
1     [ E1b] : 44 (40 non-degenerate)
2     [ E3b] : 131 (87 non-degenerate)
2*    [E3*b] : 131 (87 non-degenerate)
2ex   [E3*c] : 3 (3 non-degenerate)
2*ex  [ E3c] : 3 (3 non-degenerate)
2P    [  E2] : 26 (23 non-degenerate)
2Pex  [ E1a] : 5 (5 non-degenerate)
3     [ E5a] : 480 (201 non-degenerate)
4     [  E4] : 56 (27 non-degenerate)
4*    [ E4*] : 56 (27 non-degenerate)
4P    [  E6] : 27 (15 non-degenerate)
5     [ E3a] : 12 (7 non-degenerate)
5*    [E3*a] : 12 (7 non-degenerate)
5P    [ E5b] : 0

E10.1 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {10, 10})
Quotient :: toric
Aut^+ = C10 (small group id <10, 2>)
Aut   = D20 (small group id <20, 4>)
|r| :: 2
Presentation :: [ 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^10, (Z^-1 * A * B^-1 * A^-1 * B)^10 ]
Map::
	R = (1, 12, 22, 32, 2, 14, 24, 34, 4, 16, 26, 36, 6, 18, 28, 38, 8, 20, 30, 40, 10, 19, 29, 39, 9, 17, 27, 37, 7, 15, 25, 35, 5, 13, 23, 33, 3, 11, 21, 31)
	L = (1, 21)(2, 22)(3, 23)(4, 24)(5, 25)(6, 26)(7, 27)(8, 28)(9, 29)(10, 30)(11, 31)(12, 32)(13, 33)(14, 34)(15, 35)(16, 36)(17, 37)(18, 38)(19, 39)(20, 40)
	local type(s) :: { ( 40^40 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph::
	v = 1 e = 20 f = 1
	degree seq :: [ 40 ]

E10.2 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {10, 10})
Quotient :: toric
Aut^+ = C10 (small group id <10, 2>)
Aut   = D20 (small group id <20, 4>)
|r| :: 2
Presentation :: [ S^2, A^2, B^-1 * A, (S * Z)^2, S * B * S * A, A * Z * A * Z^-1, Z^-5 * A ]
Map::
	R = (1, 12, 22, 32, 2, 15, 25, 35, 5, 19, 29, 39, 9, 17, 27, 37, 7, 13, 23, 33, 3, 16, 26, 36, 6, 20, 30, 40, 10, 18, 28, 38, 8, 14, 24, 34, 4, 11, 21, 31)
	L = (1, 23)(2, 26)(3, 21)(4, 27)(5, 30)(6, 22)(7, 24)(8, 29)(9, 28)(10, 25)(11, 33)(12, 36)(13, 31)(14, 37)(15, 40)(16, 32)(17, 34)(18, 39)(19, 38)(20, 35)
	local type(s) :: { ( 40^40 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph::
	v = 1 e = 20 f = 1
	degree seq :: [ 40 ]

E10.3 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {10, 10})
Quotient :: toric
Aut^+ = C10 (small group id <10, 2>)
Aut   = D20 (small group id <20, 4>)
|r| :: 2
Presentation :: [ S^2, A^-1 * B, A^-1 * Z * B * Z^-1, (S * Z)^2, A^-1 * B^-1 * Z^-2, S * B * S * A, A^-1 * B^-1 * Z^2 * A^-1 ]
Map::
	R = (1, 12, 22, 32, 2, 16, 26, 36, 6, 20, 30, 40, 10, 13, 23, 33, 3, 17, 27, 37, 7, 15, 25, 35, 5, 18, 28, 38, 8, 19, 29, 39, 9, 14, 24, 34, 4, 11, 21, 31)
	L = (1, 23)(2, 27)(3, 29)(4, 30)(5, 21)(6, 25)(7, 24)(8, 22)(9, 26)(10, 28)(11, 35)(12, 38)(13, 31)(14, 37)(15, 36)(16, 39)(17, 32)(18, 40)(19, 33)(20, 34)
	local type(s) :: { ( 40^40 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph::
	v = 1 e = 20 f = 1
	degree seq :: [ 40 ]

E10.4 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {10, 10})
Quotient :: toric
Aut^+ = C10 (small group id <10, 2>)
Aut   = D20 (small group id <20, 4>)
|r| :: 2
Presentation :: [ S^2, B^-1 * A, Z^2 * A^-1, S * B * S * A, (S * Z)^2, A^5, (B^-1 * Z)^10 ]
Map::
	R = (1, 12, 22, 32, 2, 13, 23, 33, 3, 16, 26, 36, 6, 17, 27, 37, 7, 20, 30, 40, 10, 19, 29, 39, 9, 18, 28, 38, 8, 15, 25, 35, 5, 14, 24, 34, 4, 11, 21, 31)
	L = (1, 23)(2, 26)(3, 27)(4, 22)(5, 21)(6, 30)(7, 29)(8, 24)(9, 25)(10, 28)(11, 35)(12, 34)(13, 31)(14, 38)(15, 39)(16, 32)(17, 33)(18, 40)(19, 37)(20, 36)
	local type(s) :: { ( 40^40 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph::
	v = 1 e = 20 f = 1
	degree seq :: [ 40 ]

E10.5 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {10, 10})
Quotient :: toric
Aut^+ = C10 (small group id <10, 2>)
Aut   = D20 (small group id <20, 4>)
|r| :: 2
Presentation :: [ S^2, B * A^-1, Z^2 * A, S * B * S * A, (S * Z)^2, A^5, A * Z^-1 * B * A^2 * Z^-1, (B * Z)^10 ]
Map::
	R = (1, 12, 22, 32, 2, 15, 25, 35, 5, 16, 26, 36, 6, 19, 29, 39, 9, 20, 30, 40, 10, 17, 27, 37, 7, 18, 28, 38, 8, 13, 23, 33, 3, 14, 24, 34, 4, 11, 21, 31)
	L = (1, 23)(2, 24)(3, 27)(4, 28)(5, 21)(6, 22)(7, 29)(8, 30)(9, 25)(10, 26)(11, 35)(12, 36)(13, 31)(14, 32)(15, 39)(16, 40)(17, 33)(18, 34)(19, 37)(20, 38)
	local type(s) :: { ( 40^40 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph::
	v = 1 e = 20 f = 1
	degree seq :: [ 40 ]

E10.6 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {4, 4})
Quotient :: toric
Aut^+ = C3 : C4 (small group id <12, 1>)
Aut   = (C6 x C2) : C2 (small group id <24, 8>)
|r| :: 2
Presentation :: [ S^2, B^-1 * A^-1, A * B^-2, Z^-1 * B * Z * B, Z^4, S * A * S * B, Z^-1 * A^-1 * Z * A^-1, (S * Z)^2 ]
Map:: non-degenerate
	R = (1, 14, 26, 38, 2, 18, 30, 42, 6, 17, 29, 41, 5, 13, 25, 37)(3, 20, 32, 44, 8, 23, 35, 47, 11, 21, 33, 45, 9, 15, 27, 39)(4, 19, 31, 43, 7, 24, 36, 48, 12, 22, 34, 46, 10, 16, 28, 40)
	L = (1, 27)(2, 31)(3, 28)(4, 25)(5, 34)(6, 35)(7, 32)(8, 26)(9, 29)(10, 33)(11, 36)(12, 30)(13, 39)(14, 43)(15, 40)(16, 37)(17, 46)(18, 47)(19, 44)(20, 38)(21, 41)(22, 45)(23, 48)(24, 42)
	local type(s) :: { ( 16^16 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph::
	v = 3 e = 24 f = 3
	degree seq :: [ 16^3 ]

E10.7 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {4, 4})
Quotient :: toric
Aut^+ = C3 : C4 (small group id <12, 1>)
Aut   = (C6 x C2) : C2 (small group id <24, 8>)
|r| :: 2
Presentation :: [ S^2, B * A^-1, Z * A^-2 * Z, (S * Z)^2, Z^4, S * A * S * B, (A * Z^-1)^3 ]
Map::
	R = (1, 14, 26, 38, 2, 18, 30, 42, 6, 16, 28, 40, 4, 13, 25, 37)(3, 21, 33, 45, 9, 17, 29, 41, 5, 22, 34, 46, 10, 15, 27, 39)(7, 23, 35, 47, 11, 20, 32, 44, 8, 24, 36, 48, 12, 19, 31, 43)
	L = (1, 27)(2, 31)(3, 30)(4, 32)(5, 25)(6, 29)(7, 28)(8, 26)(9, 35)(10, 36)(11, 34)(12, 33)(13, 41)(14, 44)(15, 37)(16, 43)(17, 42)(18, 39)(19, 38)(20, 40)(21, 48)(22, 47)(23, 45)(24, 46)
	local type(s) :: { ( 16^16 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph::
	v = 3 e = 24 f = 3
	degree seq :: [ 16^3 ]

E10.8 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {4, 4})
Quotient :: toric
Aut^+ = C3 : C4 (small group id <12, 1>)
Aut   = (C6 x C2) : C2 (small group id <24, 8>)
|r| :: 2
Presentation :: [ S^2, B * A^-1, A^-1 * Z^2 * A^-1, (S * Z)^2, Z^4, S * A * S * B, A * Z^-1 * A * Z^-1 * A^-1 * Z^-1 ]
Map::
	R = (1, 14, 26, 38, 2, 18, 30, 42, 6, 16, 28, 40, 4, 13, 25, 37)(3, 21, 33, 45, 9, 17, 29, 41, 5, 22, 34, 46, 10, 15, 27, 39)(7, 23, 35, 47, 11, 20, 32, 44, 8, 24, 36, 48, 12, 19, 31, 43)
	L = (1, 27)(2, 31)(3, 30)(4, 32)(5, 25)(6, 29)(7, 28)(8, 26)(9, 36)(10, 35)(11, 33)(12, 34)(13, 41)(14, 44)(15, 37)(16, 43)(17, 42)(18, 39)(19, 38)(20, 40)(21, 47)(22, 48)(23, 46)(24, 45)
	local type(s) :: { ( 16^16 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph::
	v = 3 e = 24 f = 3
	degree seq :: [ 16^3 ]

E10.9 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {4, 4})
Quotient :: toric
Aut^+ = C3 : C4 (small group id <12, 1>)
Aut   = (C6 x C2) : C2 (small group id <24, 8>)
|r| :: 2
Presentation :: [ S^2, A^-1 * B^-1, Z^4, (S * Z)^2, S * B * S * A, B * Z * A^-1 * Z^-1, A * Z * B^-1 * Z^-1, Z^-2 * B * A^-2, Z^-2 * B^-3, A * Z * B * Z * B^-1, B * Z * A * Z * A^-1 ]
Map:: non-degenerate
	R = (1, 14, 26, 38, 2, 18, 30, 42, 6, 17, 29, 41, 5, 13, 25, 37)(3, 20, 32, 44, 8, 23, 35, 47, 11, 22, 34, 46, 10, 15, 27, 39)(4, 19, 31, 43, 7, 21, 33, 45, 9, 24, 36, 48, 12, 16, 28, 40)
	L = (1, 27)(2, 31)(3, 33)(4, 25)(5, 36)(6, 35)(7, 34)(8, 26)(9, 30)(10, 29)(11, 28)(12, 32)(13, 39)(14, 43)(15, 45)(16, 37)(17, 48)(18, 47)(19, 46)(20, 38)(21, 42)(22, 41)(23, 40)(24, 44)
	local type(s) :: { ( 16^16 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph::
	v = 3 e = 24 f = 3
	degree seq :: [ 16^3 ]

E10.10 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {4, 4})
Quotient :: toric
Aut^+ = C12 (small group id <12, 2>)
Aut   = D24 (small group id <24, 6>)
|r| :: 2
Presentation :: [ S^2, B^-1 * A, A * B * A, S * B * S * A, Z^4, (S * Z)^2, (A^-1, Z) ]
Map::
	R = (1, 14, 26, 38, 2, 18, 30, 42, 6, 16, 28, 40, 4, 13, 25, 37)(3, 19, 31, 43, 7, 23, 35, 47, 11, 21, 33, 45, 9, 15, 27, 39)(5, 20, 32, 44, 8, 24, 36, 48, 12, 22, 34, 46, 10, 17, 29, 41)
	L = (1, 27)(2, 31)(3, 29)(4, 33)(5, 25)(6, 35)(7, 32)(8, 26)(9, 34)(10, 28)(11, 36)(12, 30)(13, 41)(14, 44)(15, 37)(16, 46)(17, 39)(18, 48)(19, 38)(20, 43)(21, 40)(22, 45)(23, 42)(24, 47)
	local type(s) :: { ( 16^16 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph::
	v = 3 e = 24 f = 3
	degree seq :: [ 16^3 ]

E10.11 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {4, 4})
Quotient :: toric
Aut^+ = C12 (small group id <12, 2>)
Aut   = D24 (small group id <24, 6>)
|r| :: 2
Presentation :: [ S^2, B * A^-1, S * A * S * B, (S * Z)^2, Z^4, (Z, A^-1), A * Z * B * A * Z, Z^-2 * A^-3 ]
Map::
	R = (1, 14, 26, 38, 2, 18, 30, 42, 6, 16, 28, 40, 4, 13, 25, 37)(3, 19, 31, 43, 7, 24, 36, 48, 12, 22, 34, 46, 10, 15, 27, 39)(5, 20, 32, 44, 8, 21, 33, 45, 9, 23, 35, 47, 11, 17, 29, 41)
	L = (1, 27)(2, 31)(3, 33)(4, 34)(5, 25)(6, 36)(7, 35)(8, 26)(9, 30)(10, 32)(11, 28)(12, 29)(13, 41)(14, 44)(15, 37)(16, 47)(17, 48)(18, 45)(19, 38)(20, 46)(21, 39)(22, 40)(23, 43)(24, 42)
	local type(s) :: { ( 16^16 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph::
	v = 3 e = 24 f = 3
	degree seq :: [ 16^3 ]

E10.12 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {4, 4})
Quotient :: toric
Aut^+ = C12 (small group id <12, 2>)
Aut   = C3 x D8 (small group id <24, 10>)
|r| :: 2
Presentation :: [ S^2, A * B, A * B^-2, S * B * S * A, (Z, B), (S * Z)^2, Z^4, (A^-1, Z^-1) ]
Map:: non-degenerate
	R = (1, 14, 26, 38, 2, 18, 30, 42, 6, 17, 29, 41, 5, 13, 25, 37)(3, 19, 31, 43, 7, 23, 35, 47, 11, 21, 33, 45, 9, 15, 27, 39)(4, 20, 32, 44, 8, 24, 36, 48, 12, 22, 34, 46, 10, 16, 28, 40)
	L = (1, 27)(2, 31)(3, 28)(4, 25)(5, 33)(6, 35)(7, 32)(8, 26)(9, 34)(10, 29)(11, 36)(12, 30)(13, 39)(14, 43)(15, 40)(16, 37)(17, 45)(18, 47)(19, 44)(20, 38)(21, 46)(22, 41)(23, 48)(24, 42)
	local type(s) :: { ( 16^16 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph::
	v = 3 e = 24 f = 3
	degree seq :: [ 16^3 ]

E10.13 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {4, 4})
Quotient :: toric
Aut^+ = C12 (small group id <12, 2>)
Aut   = C3 x D8 (small group id <24, 10>)
|r| :: 2
Presentation :: [ S^2, B^-1 * A^-1, Z^4, (S * Z)^2, S * B * S * A, (B^-1, Z^-1), (A^-1, Z^-1), Z^-2 * B^-3, Z^-2 * B * A^-2, A * Z * A * Z * B^-1, B * Z * B * Z * A^-1 ]
Map:: non-degenerate
	R = (1, 14, 26, 38, 2, 18, 30, 42, 6, 17, 29, 41, 5, 13, 25, 37)(3, 19, 31, 43, 7, 23, 35, 47, 11, 22, 34, 46, 10, 15, 27, 39)(4, 20, 32, 44, 8, 21, 33, 45, 9, 24, 36, 48, 12, 16, 28, 40)
	L = (1, 27)(2, 31)(3, 33)(4, 25)(5, 34)(6, 35)(7, 36)(8, 26)(9, 30)(10, 32)(11, 28)(12, 29)(13, 39)(14, 43)(15, 45)(16, 37)(17, 46)(18, 47)(19, 48)(20, 38)(21, 42)(22, 44)(23, 40)(24, 41)
	local type(s) :: { ( 16^16 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph::
	v = 3 e = 24 f = 3
	degree seq :: [ 16^3 ]

E10.14 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {2, 2})
Quotient :: toric
Aut^+ = C18 (small group id <18, 2>)
Aut   = D36 (small group id <36, 4>)
|r| :: 2
Presentation :: [ Z^2, S^2, B * A^-1, (S * Z)^2, S * B * S * A, A * Z * A^-1 * Z, A^9 ]
Map::
	R = (1, 20, 38, 56, 2, 19, 37, 55)(3, 23, 41, 59, 5, 21, 39, 57)(4, 24, 42, 60, 6, 22, 40, 58)(7, 27, 45, 63, 9, 25, 43, 61)(8, 28, 46, 64, 10, 26, 44, 62)(11, 31, 49, 67, 13, 29, 47, 65)(12, 32, 50, 68, 14, 30, 48, 66)(15, 35, 53, 71, 17, 33, 51, 69)(16, 36, 54, 72, 18, 34, 52, 70)
	L = (1, 39)(2, 41)(3, 43)(4, 37)(5, 45)(6, 38)(7, 47)(8, 40)(9, 49)(10, 42)(11, 51)(12, 44)(13, 53)(14, 46)(15, 52)(16, 48)(17, 54)(18, 50)(19, 58)(20, 60)(21, 55)(22, 62)(23, 56)(24, 64)(25, 57)(26, 66)(27, 59)(28, 68)(29, 61)(30, 70)(31, 63)(32, 72)(33, 65)(34, 69)(35, 67)(36, 71)
	local type(s) :: { ( 8^8 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph::
	v = 9 e = 36 f = 9
	degree seq :: [ 8^9 ]

E10.15 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {2, 2})
Quotient :: toric
Aut^+ = D18 (small group id <18, 1>)
Aut   = D36 (small group id <36, 4>)
|r| :: 2
Presentation :: [ Z^2, S^2, A^2, B^-1 * A, S * B * S * A, (S * Z)^2, (A * Z)^9 ]
Map::
	R = (1, 20, 38, 56, 2, 19, 37, 55)(3, 23, 41, 59, 5, 21, 39, 57)(4, 24, 42, 60, 6, 22, 40, 58)(7, 27, 45, 63, 9, 25, 43, 61)(8, 28, 46, 64, 10, 26, 44, 62)(11, 31, 49, 67, 13, 29, 47, 65)(12, 32, 50, 68, 14, 30, 48, 66)(15, 35, 53, 71, 17, 33, 51, 69)(16, 36, 54, 72, 18, 34, 52, 70)
	L = (1, 39)(2, 40)(3, 37)(4, 38)(5, 43)(6, 44)(7, 41)(8, 42)(9, 47)(10, 48)(11, 45)(12, 46)(13, 51)(14, 52)(15, 49)(16, 50)(17, 54)(18, 53)(19, 57)(20, 58)(21, 55)(22, 56)(23, 61)(24, 62)(25, 59)(26, 60)(27, 65)(28, 66)(29, 63)(30, 64)(31, 69)(32, 70)(33, 67)(34, 68)(35, 72)(36, 71)
	local type(s) :: { ( 8^8 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph::
	v = 9 e = 36 f = 9
	degree seq :: [ 8^9 ]

E10.16 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {2, 2})
Quotient :: toric
Aut^+ = D18 (small group id <18, 1>)
Aut   = D36 (small group id <36, 4>)
|r| :: 2
Presentation :: [ Z^2, S^2, A^-1 * B^-1, (S * Z)^2, S * A * S * B, A * Z * B^-1 * Z, A^5 * B^-4 ]
Map:: non-degenerate
	R = (1, 20, 38, 56, 2, 19, 37, 55)(3, 24, 42, 60, 6, 21, 39, 57)(4, 23, 41, 59, 5, 22, 40, 58)(7, 28, 46, 64, 10, 25, 43, 61)(8, 27, 45, 63, 9, 26, 44, 62)(11, 32, 50, 68, 14, 29, 47, 65)(12, 31, 49, 67, 13, 30, 48, 66)(15, 36, 54, 72, 18, 33, 51, 69)(16, 35, 53, 71, 17, 34, 52, 70)
	L = (1, 39)(2, 41)(3, 43)(4, 37)(5, 45)(6, 38)(7, 47)(8, 40)(9, 49)(10, 42)(11, 51)(12, 44)(13, 53)(14, 46)(15, 52)(16, 48)(17, 54)(18, 50)(19, 57)(20, 59)(21, 61)(22, 55)(23, 63)(24, 56)(25, 65)(26, 58)(27, 67)(28, 60)(29, 69)(30, 62)(31, 71)(32, 64)(33, 70)(34, 66)(35, 72)(36, 68)
	local type(s) :: { ( 8^8 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph::
	v = 9 e = 36 f = 9
	degree seq :: [ 8^9 ]

E10.17 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {2, 2})
Quotient :: toric
Aut^+ = C18 (small group id <18, 2>)
Aut   = C18 x C2 (small group id <36, 5>)
|r| :: 2
Presentation :: [ Z^2, S^2, B^-1 * A^-1, S * B * S * A, (S * Z)^2, B * Z * B^-1 * Z, A * Z * A^-1 * Z, A^5 * B^-4 ]
Map:: non-degenerate
	R = (1, 20, 38, 56, 2, 19, 37, 55)(3, 23, 41, 59, 5, 21, 39, 57)(4, 24, 42, 60, 6, 22, 40, 58)(7, 27, 45, 63, 9, 25, 43, 61)(8, 28, 46, 64, 10, 26, 44, 62)(11, 31, 49, 67, 13, 29, 47, 65)(12, 32, 50, 68, 14, 30, 48, 66)(15, 35, 53, 71, 17, 33, 51, 69)(16, 36, 54, 72, 18, 34, 52, 70)
	L = (1, 39)(2, 41)(3, 43)(4, 37)(5, 45)(6, 38)(7, 47)(8, 40)(9, 49)(10, 42)(11, 51)(12, 44)(13, 53)(14, 46)(15, 52)(16, 48)(17, 54)(18, 50)(19, 57)(20, 59)(21, 61)(22, 55)(23, 63)(24, 56)(25, 65)(26, 58)(27, 67)(28, 60)(29, 69)(30, 62)(31, 71)(32, 64)(33, 70)(34, 66)(35, 72)(36, 68)
	local type(s) :: { ( 8^8 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph::
	v = 9 e = 36 f = 9
	degree seq :: [ 8^9 ]

E10.18 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {2, 2})
Quotient :: toric
Aut^+ = C3 x S3 (small group id <18, 3>)
Aut   = S3 x S3 (small group id <36, 10>)
|r| :: 2
Presentation :: [ Z^2, S^2, A^3, B^3, S * B * S * A, B^-1 * Z * A * Z, (B^-1, A^-1), (S * Z)^2 ]
Map:: non-degenerate
	R = (1, 20, 38, 56, 2, 19, 37, 55)(3, 26, 44, 62, 8, 21, 39, 57)(4, 25, 43, 61, 7, 22, 40, 58)(5, 28, 46, 64, 10, 23, 41, 59)(6, 27, 45, 63, 9, 24, 42, 60)(11, 33, 51, 69, 15, 29, 47, 65)(12, 35, 53, 71, 17, 30, 48, 66)(13, 34, 52, 70, 16, 31, 49, 67)(14, 36, 54, 72, 18, 32, 50, 68)
	L = (1, 39)(2, 43)(3, 41)(4, 47)(5, 37)(6, 48)(7, 45)(8, 51)(9, 38)(10, 52)(11, 49)(12, 50)(13, 40)(14, 42)(15, 53)(16, 54)(17, 44)(18, 46)(19, 60)(20, 64)(21, 66)(22, 55)(23, 68)(24, 58)(25, 70)(26, 56)(27, 72)(28, 62)(29, 57)(30, 65)(31, 59)(32, 67)(33, 61)(34, 69)(35, 63)(36, 71)
	local type(s) :: { ( 8^8 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph::
	v = 9 e = 36 f = 9
	degree seq :: [ 8^9 ]

E10.19 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {2, 2})
Quotient :: toric
Aut^+ = C3 x S3 (small group id <18, 3>)
Aut   = S3 x S3 (small group id <36, 10>)
|r| :: 2
Presentation :: [ Z^2, S^2, B^-1 * A, (S * Z)^2, S * B * S * A, A^-1 * Z * A^2 * Z * A^-1, (A * Z)^3, A^6 ]
Map::
	R = (1, 20, 38, 56, 2, 19, 37, 55)(3, 25, 43, 61, 7, 21, 39, 57)(4, 27, 45, 63, 9, 22, 40, 58)(5, 29, 47, 65, 11, 23, 41, 59)(6, 31, 49, 67, 13, 24, 42, 60)(8, 30, 48, 66, 12, 26, 44, 62)(10, 32, 50, 68, 14, 28, 46, 64)(15, 36, 54, 72, 18, 33, 51, 69)(16, 35, 53, 71, 17, 34, 52, 70)
	L = (1, 39)(2, 41)(3, 44)(4, 37)(5, 48)(6, 38)(7, 49)(8, 52)(9, 51)(10, 40)(11, 45)(12, 54)(13, 53)(14, 42)(15, 43)(16, 46)(17, 47)(18, 50)(19, 58)(20, 60)(21, 55)(22, 64)(23, 56)(24, 68)(25, 69)(26, 57)(27, 65)(28, 70)(29, 71)(30, 59)(31, 61)(32, 72)(33, 63)(34, 62)(35, 67)(36, 66)
	local type(s) :: { ( 8^8 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph::
	v = 9 e = 36 f = 9
	degree seq :: [ 8^9 ]

E10.20 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {2, 2})
Quotient :: toric
Aut^+ = (C3 x C3) : C2 (small group id <18, 4>)
Aut   = S3 x S3 (small group id <36, 10>)
|r| :: 2
Presentation :: [ Z^2, S^2, B^2, A^2, S * A * S * B, (S * Z)^2, (A * B * Z)^2, (B * Z)^3, (B * A)^3, (A * Z)^3 ]
Map:: non-degenerate
	R = (1, 20, 38, 56, 2, 19, 37, 55)(3, 25, 43, 61, 7, 21, 39, 57)(4, 27, 45, 63, 9, 22, 40, 58)(5, 29, 47, 65, 11, 23, 41, 59)(6, 31, 49, 67, 13, 24, 42, 60)(8, 32, 50, 68, 14, 26, 44, 62)(10, 30, 48, 66, 12, 28, 46, 64)(15, 36, 54, 72, 18, 33, 51, 69)(16, 35, 53, 71, 17, 34, 52, 70)
	L = (1, 39)(2, 41)(3, 37)(4, 46)(5, 38)(6, 50)(7, 47)(8, 52)(9, 51)(10, 40)(11, 43)(12, 54)(13, 53)(14, 42)(15, 45)(16, 44)(17, 49)(18, 48)(19, 58)(20, 60)(21, 62)(22, 55)(23, 66)(24, 56)(25, 69)(26, 57)(27, 67)(28, 70)(29, 71)(30, 59)(31, 63)(32, 72)(33, 61)(34, 64)(35, 65)(36, 68)
	local type(s) :: { ( 8^8 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph::
	v = 9 e = 36 f = 9
	degree seq :: [ 8^9 ]

E10.21 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {2, 2})
Quotient :: toric
Aut^+ = C6 x C3 (small group id <18, 5>)
Aut   = C6 x S3 (small group id <36, 12>)
|r| :: 2
Presentation :: [ Z^2, S^2, B^3, A^3, (B^-1, A), S * A * S * B, (S * Z)^2, A * Z * A^-1 * Z, B * Z * B^-1 * Z ]
Map:: non-degenerate
	R = (1, 20, 38, 56, 2, 19, 37, 55)(3, 25, 43, 61, 7, 21, 39, 57)(4, 26, 44, 62, 8, 22, 40, 58)(5, 27, 45, 63, 9, 23, 41, 59)(6, 28, 46, 64, 10, 24, 42, 60)(11, 33, 51, 69, 15, 29, 47, 65)(12, 34, 52, 70, 16, 30, 48, 66)(13, 35, 53, 71, 17, 31, 49, 67)(14, 36, 54, 72, 18, 32, 50, 68)
	L = (1, 39)(2, 43)(3, 41)(4, 47)(5, 37)(6, 48)(7, 45)(8, 51)(9, 38)(10, 52)(11, 49)(12, 50)(13, 40)(14, 42)(15, 53)(16, 54)(17, 44)(18, 46)(19, 60)(20, 64)(21, 66)(22, 55)(23, 68)(24, 58)(25, 70)(26, 56)(27, 72)(28, 62)(29, 57)(30, 65)(31, 59)(32, 67)(33, 61)(34, 69)(35, 63)(36, 71)
	local type(s) :: { ( 8^8 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph::
	v = 9 e = 36 f = 9
	degree seq :: [ 8^9 ]

E10.22 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {2, 2})
Quotient :: toric
Aut^+ = C3 x S3 (small group id <18, 3>)
Aut   = C6 x S3 (small group id <36, 12>)
|r| :: 2
Presentation :: [ Z^2, S^2, B^-1 * A^-1, A * B^-2, S * A * S * B, (S * Z)^2, A * Z * A * Z * A^-1 * Z * A^-1 * Z, B * Z * A * Z * B^-1 * Z * A^-1 * Z, B * Z * B * Z * B^-1 * Z * B^-1 * Z ]
Map:: non-degenerate
	R = (1, 20, 38, 56, 2, 19, 37, 55)(3, 25, 43, 61, 7, 21, 39, 57)(4, 26, 44, 62, 8, 22, 40, 58)(5, 27, 45, 63, 9, 23, 41, 59)(6, 28, 46, 64, 10, 24, 42, 60)(11, 33, 51, 69, 15, 29, 47, 65)(12, 35, 53, 71, 17, 30, 48, 66)(13, 34, 52, 70, 16, 31, 49, 67)(14, 36, 54, 72, 18, 32, 50, 68)
	L = (1, 39)(2, 41)(3, 40)(4, 37)(5, 42)(6, 38)(7, 47)(8, 49)(9, 51)(10, 53)(11, 48)(12, 43)(13, 50)(14, 44)(15, 52)(16, 45)(17, 54)(18, 46)(19, 57)(20, 59)(21, 58)(22, 55)(23, 60)(24, 56)(25, 65)(26, 67)(27, 69)(28, 71)(29, 66)(30, 61)(31, 68)(32, 62)(33, 70)(34, 63)(35, 72)(36, 64)
	local type(s) :: { ( 8^8 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph::
	v = 9 e = 36 f = 9
	degree seq :: [ 8^9 ]

E10.23 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {2, 2})
Quotient :: toric
Aut^+ = C3 x S3 (small group id <18, 3>)
Aut   = C6 x S3 (small group id <36, 12>)
|r| :: 2
Presentation :: [ Z^2, S^2, B * A, S * A * S * B, (S * Z)^2, B^2 * Z * B^-2 * Z, B^3 * A^-3, B * Z * A * B^-1 * Z * A^-1, A^2 * Z * A^-2 * Z, A * Z * A * Z * B^-1 * Z ]
Map:: non-degenerate
	R = (1, 20, 38, 56, 2, 19, 37, 55)(3, 25, 43, 61, 7, 21, 39, 57)(4, 27, 45, 63, 9, 22, 40, 58)(5, 29, 47, 65, 11, 23, 41, 59)(6, 31, 49, 67, 13, 24, 42, 60)(8, 30, 48, 66, 12, 26, 44, 62)(10, 32, 50, 68, 14, 28, 46, 64)(15, 36, 54, 72, 18, 33, 51, 69)(16, 35, 53, 71, 17, 34, 52, 70)
	L = (1, 39)(2, 41)(3, 44)(4, 37)(5, 48)(6, 38)(7, 49)(8, 52)(9, 51)(10, 40)(11, 45)(12, 54)(13, 53)(14, 42)(15, 43)(16, 46)(17, 47)(18, 50)(19, 57)(20, 59)(21, 62)(22, 55)(23, 66)(24, 56)(25, 67)(26, 70)(27, 69)(28, 58)(29, 63)(30, 72)(31, 71)(32, 60)(33, 61)(34, 64)(35, 65)(36, 68)
	local type(s) :: { ( 8^8 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph::
	v = 9 e = 36 f = 9
	degree seq :: [ 8^9 ]

E10.24 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {7})
Quotient :: toric
Aut^+ = C7 : C3 (small group id <21, 1>)
Aut   = (C7 : C3) : C2 (small group id <42, 1>)
|r| :: 2
Presentation :: [ S^2, B^3, A^3, B * Z * B * A^-1, B * Z * A * Z, S * A * S * B, (S * Z)^2, Z^-1 * A^-1 * B * A^-1, Z^2 * B^-1 * A^-1, A * B * A * Z^-1 * B, Z^-1 * A * Z^2 * A^-1 ]
Map:: non-degenerate
	R = (1, 23, 44, 65, 2, 29, 50, 71, 8, 41, 62, 83, 20, 37, 58, 79, 16, 40, 61, 82, 19, 26, 47, 68, 5, 22, 43, 64)(3, 34, 55, 76, 13, 30, 51, 72, 9, 28, 49, 70, 7, 42, 63, 84, 21, 33, 54, 75, 12, 35, 56, 77, 14, 24, 45, 66)(4, 36, 57, 78, 15, 32, 53, 74, 11, 39, 60, 81, 18, 31, 52, 73, 10, 27, 48, 69, 6, 38, 59, 80, 17, 25, 46, 67)
	L = (1, 45)(2, 51)(3, 48)(4, 58)(5, 54)(6, 43)(7, 52)(8, 63)(9, 53)(10, 61)(11, 44)(12, 57)(13, 46)(14, 60)(15, 47)(16, 55)(17, 50)(18, 62)(19, 49)(20, 56)(21, 59)(22, 70)(23, 75)(24, 78)(25, 64)(26, 76)(27, 83)(28, 67)(29, 66)(30, 69)(31, 65)(32, 79)(33, 73)(34, 81)(35, 80)(36, 71)(37, 84)(38, 82)(39, 68)(40, 77)(41, 72)(42, 74)
	local type(s) :: { ( 4^28 ) }
Outer automorphisms :: reflexible
Dual of E10.25
Transitivity :: VT+
Graph::
	v = 3 e = 42 f = 21
	degree seq :: [ 28^3 ]

E10.25 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {7})
Quotient :: toric
Aut^+ = C7 : C3 (small group id <21, 1>)
Aut   = (C7 : C3) : C2 (small group id <42, 1>)
|r| :: 2
Presentation :: [ Z, S^2, A^3, B^3, (S * Z)^2, S * B * S * A, A * B * A * B * A^-1 * B^-1, (A * B^-1)^3, Z^-1 * B^-1 * A * B^-1 * Z^-1 * A * B^-1 * A^-1 * B * Z^-1 * A * B^-1 * A^-1 * B * Z^-1 * A * B^-1 * A^-1 * B * Z^-1 * A * B^-1 * A^-1 * B * Z^-1 * A * B^-1 * A^-1 * B * Z^-1 * A * B^-1 * A^-1 * B ]
Map:: non-degenerate
	R = (1, 22, 43, 64)(2, 23, 44, 65)(3, 24, 45, 66)(4, 25, 46, 67)(5, 26, 47, 68)(6, 27, 48, 69)(7, 28, 49, 70)(8, 29, 50, 71)(9, 30, 51, 72)(10, 31, 52, 73)(11, 32, 53, 74)(12, 33, 54, 75)(13, 34, 55, 76)(14, 35, 56, 77)(15, 36, 57, 78)(16, 37, 58, 79)(17, 38, 59, 80)(18, 39, 60, 81)(19, 40, 61, 82)(20, 41, 62, 83)(21, 42, 63, 84)
	L = (1, 44)(2, 46)(3, 50)(4, 43)(5, 54)(6, 56)(7, 58)(8, 51)(9, 45)(10, 60)(11, 63)(12, 55)(13, 47)(14, 57)(15, 48)(16, 59)(17, 49)(18, 62)(19, 53)(20, 52)(21, 61)(22, 68)(23, 70)(24, 64)(25, 74)(26, 66)(27, 65)(28, 69)(29, 77)(30, 82)(31, 67)(32, 73)(33, 83)(34, 84)(35, 81)(36, 76)(37, 72)(38, 75)(39, 71)(40, 79)(41, 80)(42, 78)
	local type(s) :: { ( 28^4 ) }
Outer automorphisms :: reflexible
Dual of E10.24
Transitivity :: VT+
Graph:: simple
	v = 21 e = 42 f = 3
	degree seq :: [ 4^21 ]

E10.26 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {3})
Quotient :: toric
Aut^+ = C9 : C3 (small group id <27, 4>)
Aut   = (C9 : C3) : C2 (small group id <54, 6>)
|r| :: 2
Presentation :: [ S^2, Z^3, B^3 * Z^-1, A^3 * Z^-1, S * B * S * A, (S * Z)^2, (B^-1, Z^-1), A^-2 * B^-1 * A^-1 * B, A * Z^-1 * B * A^-1 * B^-1 * Z^-1 ]
Map:: polytopal non-degenerate
	R = (1, 29, 56, 83, 2, 32, 59, 86, 5, 28, 55, 82)(3, 35, 62, 89, 8, 40, 67, 94, 13, 30, 57, 84)(4, 36, 63, 90, 9, 43, 70, 97, 16, 31, 58, 85)(6, 37, 64, 91, 10, 45, 72, 99, 18, 33, 60, 87)(7, 38, 65, 92, 11, 46, 73, 100, 19, 34, 61, 88)(12, 42, 69, 96, 15, 52, 79, 106, 25, 39, 66, 93)(14, 51, 78, 105, 24, 49, 76, 103, 22, 41, 68, 95)(17, 47, 74, 101, 20, 53, 80, 107, 26, 44, 71, 98)(21, 50, 77, 104, 23, 54, 81, 108, 27, 48, 75, 102)
	L = (1, 57)(2, 62)(3, 64)(4, 69)(5, 67)(6, 55)(7, 76)(8, 72)(9, 79)(10, 56)(11, 68)(12, 71)(13, 60)(14, 75)(15, 74)(16, 66)(17, 58)(18, 59)(19, 78)(20, 63)(21, 73)(22, 81)(23, 61)(24, 77)(25, 80)(26, 70)(27, 65)(28, 88)(29, 92)(30, 95)(31, 82)(32, 100)(33, 102)(34, 97)(35, 105)(36, 83)(37, 104)(38, 85)(39, 84)(40, 103)(41, 106)(42, 89)(43, 86)(44, 99)(45, 108)(46, 90)(47, 87)(48, 98)(49, 96)(50, 101)(51, 93)(52, 94)(53, 91)(54, 107)
	local type(s) :: { ( 4^12 ) }
Outer automorphisms :: reflexible
Dual of E10.27
Transitivity :: VT+
Graph::
	v = 9 e = 54 f = 27
	degree seq :: [ 12^9 ]

E10.27 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {3})
Quotient :: toric
Aut^+ = C9 : C3 (small group id <27, 4>)
Aut   = (C9 : C3) : C2 (small group id <54, 6>)
|r| :: 2
Presentation :: [ Z, S^2, S * B * S * A, (S * Z)^2, A * B^-1 * A * B * A, A * B * A^-1 * B^2, (Z^-1 * B^3)^3 ]
Map:: polytopal non-degenerate
	R = (1, 28, 55, 82)(2, 29, 56, 83)(3, 30, 57, 84)(4, 31, 58, 85)(5, 32, 59, 86)(6, 33, 60, 87)(7, 34, 61, 88)(8, 35, 62, 89)(9, 36, 63, 90)(10, 37, 64, 91)(11, 38, 65, 92)(12, 39, 66, 93)(13, 40, 67, 94)(14, 41, 68, 95)(15, 42, 69, 96)(16, 43, 70, 97)(17, 44, 71, 98)(18, 45, 72, 99)(19, 46, 73, 100)(20, 47, 74, 101)(21, 48, 75, 102)(22, 49, 76, 103)(23, 50, 77, 104)(24, 51, 78, 105)(25, 52, 79, 106)(26, 53, 80, 107)(27, 54, 81, 108)
	L = (1, 56)(2, 60)(3, 63)(4, 55)(5, 69)(6, 72)(7, 65)(8, 68)(9, 66)(10, 62)(11, 57)(12, 79)(13, 58)(14, 81)(15, 77)(16, 59)(17, 61)(18, 76)(19, 71)(20, 70)(21, 73)(22, 78)(23, 64)(24, 80)(25, 75)(26, 67)(27, 74)(28, 86)(29, 89)(30, 82)(31, 95)(32, 98)(33, 97)(34, 83)(35, 102)(36, 103)(37, 84)(38, 105)(39, 85)(40, 96)(41, 92)(42, 90)(43, 93)(44, 107)(45, 91)(46, 87)(47, 88)(48, 94)(49, 101)(50, 100)(51, 104)(52, 99)(53, 108)(54, 106)
	local type(s) :: { ( 12^4 ) }
Outer automorphisms :: reflexible
Dual of E10.26
Transitivity :: VT+
Graph:: simple
	v = 27 e = 54 f = 9
	degree seq :: [ 4^27 ]

E10.28 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {11, 11, 11, 11})
Quotient :: dipole
Aut^+ = C11 (small group id <11, 1>)
Aut   = D22 (small group id <22, 1>)
|r| :: 2
Presentation :: [ Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, R^2, Y1 * Y2^-2, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, Y2 * Y1^5, (Y3^-1 * Y1^-1)^11, (Y3 * Y2^-1)^11 ]
Map::
	R = (1, 12, 2, 13, 6, 17, 10, 21, 9, 20, 5, 16, 3, 14, 7, 18, 11, 22, 8, 19, 4, 15)(23, 34, 25, 36, 24, 35, 29, 40, 28, 39, 33, 44, 32, 43, 30, 41, 31, 42, 26, 37, 27, 38)
	L = (1, 23)(2, 24)(3, 25)(4, 26)(5, 27)(6, 28)(7, 29)(8, 30)(9, 31)(10, 32)(11, 33)(12, 34)(13, 35)(14, 36)(15, 37)(16, 38)(17, 39)(18, 40)(19, 41)(20, 42)(21, 43)(22, 44)
	local type(s) :: { ( 22^22 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 2 e = 22 f = 2
	degree seq :: [ 22^2 ]

E10.29 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {11, 11, 11, 11})
Quotient :: dipole
Aut^+ = C11 (small group id <11, 1>)
Aut   = D22 (small group id <22, 1>)
|r| :: 2
Presentation :: [ Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, R^2, Y1 * Y2^2, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y2 * Y1^-5, (Y3 * Y2^-1)^11, (Y3^-1 * Y1^-1)^11 ]
Map::
	R = (1, 12, 2, 13, 6, 17, 10, 21, 8, 19, 3, 14, 5, 16, 7, 18, 11, 22, 9, 20, 4, 15)(23, 34, 25, 36, 26, 37, 30, 41, 31, 42, 32, 43, 33, 44, 28, 39, 29, 40, 24, 35, 27, 38)
	L = (1, 23)(2, 24)(3, 25)(4, 26)(5, 27)(6, 28)(7, 29)(8, 30)(9, 31)(10, 32)(11, 33)(12, 34)(13, 35)(14, 36)(15, 37)(16, 38)(17, 39)(18, 40)(19, 41)(20, 42)(21, 43)(22, 44)
	local type(s) :: { ( 22^22 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 2 e = 22 f = 2
	degree seq :: [ 22^2 ]

E10.30 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {11, 11, 11, 11})
Quotient :: dipole
Aut^+ = C11 (small group id <11, 1>)
Aut   = D22 (small group id <22, 1>)
|r| :: 2
Presentation :: [ Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, R^2, (Y2^-1, Y1^-1), Y2^3 * Y1^-1, (R * Y1)^2, (R * Y3)^2, Y1^3 * Y2^2, (R * Y2 * Y3^-1)^2, (Y3 * Y2^-1)^11, (Y3^-1 * Y1^-1)^11 ]
Map::
	R = (1, 12, 2, 13, 6, 17, 9, 20, 3, 14, 7, 18, 11, 22, 5, 16, 8, 19, 10, 21, 4, 15)(23, 34, 25, 36, 30, 41, 24, 35, 29, 40, 32, 43, 28, 39, 33, 44, 26, 37, 31, 42, 27, 38)
	L = (1, 23)(2, 24)(3, 25)(4, 26)(5, 27)(6, 28)(7, 29)(8, 30)(9, 31)(10, 32)(11, 33)(12, 34)(13, 35)(14, 36)(15, 37)(16, 38)(17, 39)(18, 40)(19, 41)(20, 42)(21, 43)(22, 44)
	local type(s) :: { ( 22^22 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 2 e = 22 f = 2
	degree seq :: [ 22^2 ]

E10.31 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {11, 11, 11, 11})
Quotient :: dipole
Aut^+ = C11 (small group id <11, 1>)
Aut   = D22 (small group id <22, 1>)
|r| :: 2
Presentation :: [ Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, R^2, Y2^-1 * Y1^-1 * Y2^-2, (R * Y3)^2, (R * Y1)^2, (Y2^-1, Y1^-1), Y1 * Y2^-1 * Y1 * Y2^-1 * Y1, (R * Y2 * Y3^-1)^2, (Y3 * Y2^-1)^11, (Y3^-1 * Y1^-1)^11 ]
Map::
	R = (1, 12, 2, 13, 6, 17, 9, 20, 5, 16, 8, 19, 10, 21, 3, 14, 7, 18, 11, 22, 4, 15)(23, 34, 25, 36, 31, 42, 26, 37, 32, 43, 28, 39, 33, 44, 30, 41, 24, 35, 29, 40, 27, 38)
	L = (1, 23)(2, 24)(3, 25)(4, 26)(5, 27)(6, 28)(7, 29)(8, 30)(9, 31)(10, 32)(11, 33)(12, 34)(13, 35)(14, 36)(15, 37)(16, 38)(17, 39)(18, 40)(19, 41)(20, 42)(21, 43)(22, 44)
	local type(s) :: { ( 22^22 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 2 e = 22 f = 2
	degree seq :: [ 22^2 ]

E10.32 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {11, 11, 11, 11})
Quotient :: dipole
Aut^+ = C11 (small group id <11, 1>)
Aut   = D22 (small group id <22, 1>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3, Y1 * Y2^2, (R * Y3)^2, (R * Y1)^2, Y2 * Y1^-5, (Y3^-1 * Y1^-1)^11 ]
Map:: non-degenerate
	R = (1, 12, 2, 13, 6, 17, 10, 21, 8, 19, 3, 14, 4, 15, 7, 18, 11, 22, 9, 20, 5, 16)(23, 34, 25, 36, 27, 38, 30, 41, 31, 42, 32, 43, 33, 44, 28, 39, 29, 40, 24, 35, 26, 37)
	L = (1, 26)(2, 29)(3, 23)(4, 24)(5, 25)(6, 33)(7, 28)(8, 27)(9, 30)(10, 31)(11, 32)(12, 34)(13, 35)(14, 36)(15, 37)(16, 38)(17, 39)(18, 40)(19, 41)(20, 42)(21, 43)(22, 44)
	local type(s) :: { ( 22^22 ) }
Outer automorphisms :: reflexible
Dual of E10.39
Graph:: bipartite
	v = 2 e = 22 f = 2
	degree seq :: [ 22^2 ]

E10.33 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {11, 11, 11, 11})
Quotient :: dipole
Aut^+ = C11 (small group id <11, 1>)
Aut   = D22 (small group id <22, 1>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3, Y2^-1 * Y1 * Y3^-1 * Y1^-1, Y3 * Y2^-2 * Y1^-1, Y2^-1 * Y3 * Y2^-1 * Y1^-1, Y3 * Y1^-1 * Y2^-2, (R * Y1)^2, (R * Y3)^2, Y1 * Y3 * Y2^-1 * Y1^2, Y1^-1 * Y2^8, (Y3^-1 * Y1^-1)^11 ]
Map:: non-degenerate
	R = (1, 12, 2, 13, 6, 17, 9, 20, 4, 15, 8, 19, 10, 21, 3, 14, 7, 18, 11, 22, 5, 16)(23, 34, 25, 36, 31, 42, 27, 38, 32, 43, 28, 39, 33, 44, 30, 41, 24, 35, 29, 40, 26, 37)
	L = (1, 26)(2, 30)(3, 23)(4, 29)(5, 31)(6, 32)(7, 24)(8, 33)(9, 25)(10, 27)(11, 28)(12, 34)(13, 35)(14, 36)(15, 37)(16, 38)(17, 39)(18, 40)(19, 41)(20, 42)(21, 43)(22, 44)
	local type(s) :: { ( 22^22 ) }
Outer automorphisms :: reflexible
Dual of E10.43
Graph:: bipartite
	v = 2 e = 22 f = 2
	degree seq :: [ 22^2 ]

E10.34 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {11, 11, 11, 11})
Quotient :: dipole
Aut^+ = C11 (small group id <11, 1>)
Aut   = D22 (small group id <22, 1>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3, Y2 * Y1^-3, (R * Y3)^2, (R * Y1)^2, (Y3^-1, Y1^-1), Y2 * Y1^-1 * Y2 * Y3^-2, Y1 * Y2^2 * Y3^-1 * Y1, Y2^11, (Y1^-1 * Y3^-1)^11, (Y3 * Y2^-1)^11 ]
Map:: non-degenerate
	R = (1, 12, 2, 13, 6, 17, 3, 14, 7, 18, 10, 21, 9, 20, 11, 22, 4, 15, 8, 19, 5, 16)(23, 34, 25, 36, 31, 42, 30, 41, 24, 35, 29, 40, 33, 44, 27, 38, 28, 39, 32, 43, 26, 37)
	L = (1, 26)(2, 30)(3, 23)(4, 32)(5, 33)(6, 27)(7, 24)(8, 31)(9, 25)(10, 28)(11, 29)(12, 34)(13, 35)(14, 36)(15, 37)(16, 38)(17, 39)(18, 40)(19, 41)(20, 42)(21, 43)(22, 44)
	local type(s) :: { ( 22^22 ) }
Outer automorphisms :: reflexible
Dual of E10.35
Graph:: bipartite
	v = 2 e = 22 f = 2
	degree seq :: [ 22^2 ]

E10.35 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {11, 11, 11, 11})
Quotient :: dipole
Aut^+ = C11 (small group id <11, 1>)
Aut   = D22 (small group id <22, 1>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3, Y1^-1 * Y3 * Y1^-2, (Y3^-1, Y1^-1), (R * Y1)^2, (R * Y3)^2, (Y1, Y2^-1), Y2 * Y1 * Y3^-3, Y1^-1 * Y3^2 * Y2^-2, Y2^11, (Y1^-1 * Y3^-1)^11, (Y3 * Y2^-1)^11 ]
Map:: non-degenerate
	R = (1, 12, 2, 13, 6, 17, 4, 15, 8, 19, 9, 20, 11, 22, 10, 21, 3, 14, 7, 18, 5, 16)(23, 34, 25, 36, 31, 42, 28, 39, 27, 38, 32, 43, 30, 41, 24, 35, 29, 40, 33, 44, 26, 37)
	L = (1, 26)(2, 30)(3, 23)(4, 33)(5, 28)(6, 31)(7, 24)(8, 32)(9, 25)(10, 27)(11, 29)(12, 34)(13, 35)(14, 36)(15, 37)(16, 38)(17, 39)(18, 40)(19, 41)(20, 42)(21, 43)(22, 44)
	local type(s) :: { ( 22^22 ) }
Outer automorphisms :: reflexible
Dual of E10.34
Graph:: bipartite
	v = 2 e = 22 f = 2
	degree seq :: [ 22^2 ]

E10.36 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {11, 11, 11, 11})
Quotient :: dipole
Aut^+ = C11 (small group id <11, 1>)
Aut   = D22 (small group id <22, 1>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3, Y1^2 * Y3^-1, (R * Y3)^2, (R * Y1)^2, (Y1, Y2^-1), Y1 * Y3^5, Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1, (Y3 * Y2^-1)^11 ]
Map:: non-degenerate
	R = (1, 12, 2, 13, 4, 15, 6, 17, 9, 20, 10, 21, 11, 22, 7, 18, 8, 19, 3, 14, 5, 16)(23, 34, 25, 36, 29, 40, 32, 43, 28, 39, 24, 35, 27, 38, 30, 41, 33, 44, 31, 42, 26, 37)
	L = (1, 26)(2, 28)(3, 23)(4, 31)(5, 24)(6, 32)(7, 25)(8, 27)(9, 33)(10, 29)(11, 30)(12, 34)(13, 35)(14, 36)(15, 37)(16, 38)(17, 39)(18, 40)(19, 41)(20, 42)(21, 43)(22, 44)
	local type(s) :: { ( 22^22 ) }
Outer automorphisms :: reflexible
Dual of E10.42
Graph:: bipartite
	v = 2 e = 22 f = 2
	degree seq :: [ 22^2 ]

E10.37 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {11, 11, 11, 11})
Quotient :: dipole
Aut^+ = C11 (small group id <11, 1>)
Aut   = D22 (small group id <22, 1>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y2, Y2 * Y1^-2, (R * Y1)^2, R * Y2 * R * Y3^-1, (Y1, Y3^-1), Y1 * Y2^5, (Y1^-1 * Y3^-1)^11, (Y3 * Y2^-1)^11 ]
Map:: non-degenerate
	R = (1, 12, 2, 13, 3, 14, 6, 17, 7, 18, 10, 21, 11, 22, 8, 19, 9, 20, 4, 15, 5, 16)(23, 34, 25, 36, 29, 40, 33, 44, 31, 42, 27, 38, 24, 35, 28, 39, 32, 43, 30, 41, 26, 37)
	L = (1, 26)(2, 27)(3, 23)(4, 30)(5, 31)(6, 24)(7, 25)(8, 32)(9, 33)(10, 28)(11, 29)(12, 34)(13, 35)(14, 36)(15, 37)(16, 38)(17, 39)(18, 40)(19, 41)(20, 42)(21, 43)(22, 44)
	local type(s) :: { ( 22^22 ) }
Outer automorphisms :: reflexible
Dual of E10.40
Graph:: bipartite
	v = 2 e = 22 f = 2
	degree seq :: [ 22^2 ]

E10.38 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {11, 11, 11, 11})
Quotient :: dipole
Aut^+ = C11 (small group id <11, 1>)
Aut   = D22 (small group id <22, 1>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y2^-1 * Y3^-1, Y1 * Y3^-1 * Y2^-1, Y2 * Y3^-1 * Y2, (R * Y2)^2, (R * Y1)^2, (R * Y3)^2, Y1^2 * Y3 * Y1 ]
Map:: non-degenerate
	R = (1, 12, 2, 13, 8, 19, 7, 18, 3, 14, 9, 20, 11, 22, 6, 17, 4, 15, 10, 21, 5, 16)(23, 34, 25, 36, 26, 37, 24, 35, 31, 42, 32, 43, 30, 41, 33, 44, 27, 38, 29, 40, 28, 39)
	L = (1, 26)(2, 32)(3, 24)(4, 31)(5, 28)(6, 25)(7, 23)(8, 27)(9, 30)(10, 33)(11, 29)(12, 34)(13, 35)(14, 36)(15, 37)(16, 38)(17, 39)(18, 40)(19, 41)(20, 42)(21, 43)(22, 44)
	local type(s) :: { ( 22^22 ) }
Outer automorphisms :: reflexible
Dual of E10.41
Graph:: bipartite
	v = 2 e = 22 f = 2
	degree seq :: [ 22^2 ]

E10.39 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {11, 11, 11, 11})
Quotient :: dipole
Aut^+ = C11 (small group id <11, 1>)
Aut   = D22 (small group id <22, 1>)
|r| :: 2
Presentation :: [ R^2, Y2^2 * Y3^-1, Y1 * Y3^-2, Y1^-1 * Y2^-1 * Y3^-1 * Y1^-1, Y3^-1 * Y1^-1 * Y2^-1 * Y1^-1, (R * Y2)^2, (R * Y3)^2, (R * Y1)^2 ]
Map:: non-degenerate
	R = (1, 12, 2, 13, 8, 19, 3, 14, 9, 20, 7, 18, 4, 15, 10, 21, 6, 17, 11, 22, 5, 16)(23, 34, 25, 36, 26, 37, 33, 44, 24, 35, 31, 42, 32, 43, 27, 38, 30, 41, 29, 40, 28, 39)
	L = (1, 26)(2, 32)(3, 33)(4, 24)(5, 29)(6, 25)(7, 23)(8, 28)(9, 27)(10, 30)(11, 31)(12, 34)(13, 35)(14, 36)(15, 37)(16, 38)(17, 39)(18, 40)(19, 41)(20, 42)(21, 43)(22, 44)
	local type(s) :: { ( 22^22 ) }
Outer automorphisms :: reflexible
Dual of E10.32
Graph:: bipartite
	v = 2 e = 22 f = 2
	degree seq :: [ 22^2 ]

E10.40 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {11, 11, 11, 11})
Quotient :: dipole
Aut^+ = C11 (small group id <11, 1>)
Aut   = D22 (small group id <22, 1>)
|r| :: 2
Presentation :: [ R^2, Y2^-2 * Y3, Y1 * Y3^2, Y2 * Y1^-1 * Y3 * Y1^-1, (Y2^-1, Y1^-1), Y2^-1 * Y1^-3, (R * Y1)^2, (R * Y2)^2, Y2 * Y1^-2 * Y3, (R * Y3)^2 ]
Map:: non-degenerate
	R = (1, 12, 2, 13, 8, 19, 6, 17, 10, 21, 4, 15, 7, 18, 11, 22, 3, 14, 9, 20, 5, 16)(23, 34, 25, 36, 26, 37, 30, 41, 27, 38, 33, 44, 32, 43, 24, 35, 31, 42, 29, 40, 28, 39)
	L = (1, 26)(2, 29)(3, 30)(4, 27)(5, 32)(6, 25)(7, 23)(8, 33)(9, 28)(10, 31)(11, 24)(12, 34)(13, 35)(14, 36)(15, 37)(16, 38)(17, 39)(18, 40)(19, 41)(20, 42)(21, 43)(22, 44)
	local type(s) :: { ( 22^22 ) }
Outer automorphisms :: reflexible
Dual of E10.37
Graph:: bipartite
	v = 2 e = 22 f = 2
	degree seq :: [ 22^2 ]

E10.41 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {11, 11, 11, 11})
Quotient :: dipole
Aut^+ = C11 (small group id <11, 1>)
Aut   = D22 (small group id <22, 1>)
|r| :: 2
Presentation :: [ R^2, Y1^2 * Y2^-1, Y2 * Y3^-1 * Y2, Y3^3 * Y1^-1, (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, Y1 * Y3^2 * Y2 ]
Map:: non-degenerate
	R = (1, 12, 2, 13, 3, 14, 8, 19, 4, 15, 9, 20, 11, 22, 7, 18, 10, 21, 6, 17, 5, 16)(23, 34, 25, 36, 26, 37, 33, 44, 32, 43, 27, 38, 24, 35, 30, 41, 31, 42, 29, 40, 28, 39)
	L = (1, 26)(2, 31)(3, 33)(4, 32)(5, 30)(6, 25)(7, 23)(8, 29)(9, 28)(10, 24)(11, 27)(12, 34)(13, 35)(14, 36)(15, 37)(16, 38)(17, 39)(18, 40)(19, 41)(20, 42)(21, 43)(22, 44)
	local type(s) :: { ( 22^22 ) }
Outer automorphisms :: reflexible
Dual of E10.38
Graph:: bipartite
	v = 2 e = 22 f = 2
	degree seq :: [ 22^2 ]

E10.42 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {11, 11, 11, 11})
Quotient :: dipole
Aut^+ = C11 (small group id <11, 1>)
Aut   = D22 (small group id <22, 1>)
|r| :: 2
Presentation :: [ R^2, Y1^2 * Y2^-1, Y3 * Y2^2, Y2^-1 * Y1^-1 * Y3^-1 * Y1^-1, Y3^2 * Y2^-1 * Y1^-1, Y3^-3 * Y1^-1, (Y3, Y1^-1), (R * Y1)^2, (R * Y3)^2, (R * Y2)^2 ]
Map:: non-degenerate
	R = (1, 12, 2, 13, 3, 14, 8, 19, 7, 18, 10, 21, 11, 22, 4, 15, 9, 20, 6, 17, 5, 16)(23, 34, 25, 36, 29, 40, 33, 44, 31, 42, 27, 38, 24, 35, 30, 41, 32, 43, 26, 37, 28, 39)
	L = (1, 26)(2, 31)(3, 28)(4, 30)(5, 33)(6, 32)(7, 23)(8, 27)(9, 29)(10, 24)(11, 25)(12, 34)(13, 35)(14, 36)(15, 37)(16, 38)(17, 39)(18, 40)(19, 41)(20, 42)(21, 43)(22, 44)
	local type(s) :: { ( 22^22 ) }
Outer automorphisms :: reflexible
Dual of E10.36
Graph:: bipartite
	v = 2 e = 22 f = 2
	degree seq :: [ 22^2 ]

E10.43 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {11, 11, 11, 11})
Quotient :: dipole
Aut^+ = C11 (small group id <11, 1>)
Aut   = D22 (small group id <22, 1>)
|r| :: 2
Presentation :: [ R^2, Y3^2 * Y1, Y1^2 * Y2, Y2^-1 * Y3^-1 * Y1 * Y2^-1, Y1 * Y2^-1 * Y3^-1 * Y2^-1, (R * Y3)^2, (R * Y1)^2, Y3 * Y1^-1 * Y3 * Y2^-1, (R * Y2)^2 ]
Map:: non-degenerate
	R = (1, 12, 2, 13, 6, 17, 8, 19, 11, 22, 4, 15, 7, 18, 9, 20, 10, 21, 3, 14, 5, 16)(23, 34, 25, 36, 31, 42, 26, 37, 30, 41, 24, 35, 27, 38, 32, 43, 29, 40, 33, 44, 28, 39)
	L = (1, 26)(2, 29)(3, 30)(4, 27)(5, 33)(6, 31)(7, 23)(8, 32)(9, 24)(10, 28)(11, 25)(12, 34)(13, 35)(14, 36)(15, 37)(16, 38)(17, 39)(18, 40)(19, 41)(20, 42)(21, 43)(22, 44)
	local type(s) :: { ( 22^22 ) }
Outer automorphisms :: reflexible
Dual of E10.33
Graph:: bipartite
	v = 2 e = 22 f = 2
	degree seq :: [ 22^2 ]

E10.44 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {6, 6, 12, 12})
Quotient :: dipole
Aut^+ = C12 (small group id <12, 2>)
Aut   = D24 (small group id <24, 6>)
|r| :: 2
Presentation :: [ Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, R^2, Y1 * Y2^-2, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y1^6, (Y3^-1 * Y1^-1)^6, (Y3 * Y2^-1)^12 ]
Map::
	R = (1, 13, 2, 14, 6, 18, 10, 22, 8, 20, 4, 16)(3, 15, 7, 19, 11, 23, 12, 24, 9, 21, 5, 17)(25, 37, 27, 39, 26, 38, 31, 43, 30, 42, 35, 47, 34, 46, 36, 48, 32, 44, 33, 45, 28, 40, 29, 41)
	L = (1, 25)(2, 26)(3, 27)(4, 28)(5, 29)(6, 30)(7, 31)(8, 32)(9, 33)(10, 34)(11, 35)(12, 36)(13, 37)(14, 38)(15, 39)(16, 40)(17, 41)(18, 42)(19, 43)(20, 44)(21, 45)(22, 46)(23, 47)(24, 48)
	local type(s) :: { ( 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24 ), ( 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 3 e = 24 f = 3
	degree seq :: [ 12^2, 24 ]

E10.45 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {6, 6, 12, 12})
Quotient :: dipole
Aut^+ = C12 (small group id <12, 2>)
Aut   = D24 (small group id <24, 6>)
|r| :: 2
Presentation :: [ Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, R^2, Y2^2 * Y1, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, Y1^6, (Y3^-1 * Y1^-1)^6, (Y3 * Y2^-1)^12 ]
Map::
	R = (1, 13, 2, 14, 6, 18, 10, 22, 9, 21, 4, 16)(3, 15, 5, 17, 7, 19, 11, 23, 12, 24, 8, 20)(25, 37, 27, 39, 28, 40, 32, 44, 33, 45, 36, 48, 34, 46, 35, 47, 30, 42, 31, 43, 26, 38, 29, 41)
	L = (1, 25)(2, 26)(3, 27)(4, 28)(5, 29)(6, 30)(7, 31)(8, 32)(9, 33)(10, 34)(11, 35)(12, 36)(13, 37)(14, 38)(15, 39)(16, 40)(17, 41)(18, 42)(19, 43)(20, 44)(21, 45)(22, 46)(23, 47)(24, 48)
	local type(s) :: { ( 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24 ), ( 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 3 e = 24 f = 3
	degree seq :: [ 12^2, 24 ]

E10.46 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {6, 6, 12, 12})
Quotient :: dipole
Aut^+ = C12 (small group id <12, 2>)
Aut   = D24 (small group id <24, 6>)
|r| :: 2
Presentation :: [ R^2, Y1^2 * Y3, Y3^3, Y1 * Y2^-2, (Y2, Y3), (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, (Y1 * Y3^-1)^2 ]
Map:: non-degenerate
	R = (1, 13, 2, 14, 7, 19, 9, 21, 4, 16, 5, 17)(3, 15, 8, 20, 11, 23, 12, 24, 10, 22, 6, 18)(25, 37, 27, 39, 26, 38, 32, 44, 31, 43, 35, 47, 33, 45, 36, 48, 28, 40, 34, 46, 29, 41, 30, 42)
	L = (1, 28)(2, 29)(3, 34)(4, 31)(5, 33)(6, 36)(7, 25)(8, 30)(9, 26)(10, 35)(11, 27)(12, 32)(13, 37)(14, 38)(15, 39)(16, 40)(17, 41)(18, 42)(19, 43)(20, 44)(21, 45)(22, 46)(23, 47)(24, 48)
	local type(s) :: { ( 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24 ), ( 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 3 e = 24 f = 3
	degree seq :: [ 12^2, 24 ]

E10.47 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 12, 12, 12})
Quotient :: dipole
Aut^+ = C12 (small group id <12, 2>)
Aut   = D24 (small group id <24, 6>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y2 * Y3, Y1 * Y3 * Y2, Y3^3, (R * Y1)^2, (R * Y3)^2, (R * Y2)^2, Y3 * Y2^-1 * Y3 * Y1^-1, Y2^3 * Y1^-1, Y1^4 ]
Map:: non-degenerate
	R = (1, 13, 2, 14, 8, 20, 5, 17)(3, 15, 7, 19, 10, 22, 11, 23)(4, 16, 6, 18, 9, 21, 12, 24)(25, 37, 27, 39, 33, 45, 26, 38, 31, 43, 36, 48, 32, 44, 34, 46, 28, 40, 29, 41, 35, 47, 30, 42)
	L = (1, 28)(2, 30)(3, 29)(4, 31)(5, 36)(6, 34)(7, 25)(8, 33)(9, 35)(10, 26)(11, 32)(12, 27)(13, 37)(14, 38)(15, 39)(16, 40)(17, 41)(18, 42)(19, 43)(20, 44)(21, 45)(22, 46)(23, 47)(24, 48)
	local type(s) :: { ( 24^8 ), ( 24^24 ) }
Outer automorphisms :: reflexible
Dual of E10.48
Graph:: bipartite
	v = 4 e = 24 f = 2
	degree seq :: [ 8^3, 24 ]

E10.48 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 12, 12, 12})
Quotient :: dipole
Aut^+ = C12 (small group id <12, 2>)
Aut   = D24 (small group id <24, 6>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y2 * Y3^-1, Y1 * Y3^-1 * Y2, Y3^3, Y1^2 * Y2^-2, (R * Y2)^2, (R * Y1)^2, (R * Y3)^2, Y3^-1 * Y2^-1 * Y3^-1 * Y1^-1, Y2^12 ]
Map:: non-degenerate
	R = (1, 13, 2, 14, 8, 20, 11, 23, 7, 19, 6, 18, 10, 22, 3, 15, 4, 16, 9, 21, 12, 24, 5, 17)(25, 37, 27, 39, 32, 44, 33, 45, 31, 43, 29, 41, 34, 46, 26, 38, 28, 40, 35, 47, 36, 48, 30, 42)
	L = (1, 28)(2, 33)(3, 35)(4, 31)(5, 27)(6, 26)(7, 25)(8, 36)(9, 30)(10, 32)(11, 29)(12, 34)(13, 37)(14, 38)(15, 39)(16, 40)(17, 41)(18, 42)(19, 43)(20, 44)(21, 45)(22, 46)(23, 47)(24, 48)
	local type(s) :: { ( 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24 ) }
Outer automorphisms :: reflexible
Dual of E10.47
Graph:: bipartite
	v = 2 e = 24 f = 4
	degree seq :: [ 24^2 ]

E10.49 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 14, 14, 14})
Quotient :: dipole
Aut^+ = C14 (small group id <14, 2>)
Aut   = D28 (small group id <28, 3>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y1 * Y3 * Y2, Y1 * Y2 * Y3, (R * Y2)^2, (R * Y3)^2, (R * Y1)^2, Y3^7, Y2^4 * Y3^-3, (Y3 * Y2^-1)^14 ]
Map:: non-degenerate
	R = (1, 15, 2, 16)(3, 17, 6, 20)(4, 18, 5, 19)(7, 21, 8, 22)(9, 23, 10, 24)(11, 25, 12, 26)(13, 27, 14, 28)(29, 43, 31, 45, 35, 49, 39, 53, 41, 55, 38, 52, 32, 46, 30, 44, 34, 48, 36, 50, 40, 54, 42, 56, 37, 51, 33, 47)
	L = (1, 32)(2, 33)(3, 30)(4, 37)(5, 38)(6, 29)(7, 34)(8, 31)(9, 41)(10, 42)(11, 36)(12, 35)(13, 40)(14, 39)(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) :: { ( 28^4 ), ( 28^28 ) }
Outer automorphisms :: reflexible
Dual of E10.51
Graph:: bipartite
	v = 8 e = 28 f = 2
	degree seq :: [ 4^7, 28 ]

E10.50 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 14, 14, 14})
Quotient :: dipole
Aut^+ = C14 (small group id <14, 2>)
Aut   = D28 (small group id <28, 3>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y2^-2, (R * Y1)^2, (R * Y2)^2, (R * Y3)^2, Y3 * Y1 * Y3^-1 * Y1, Y2^-1 * Y1 * Y2 * Y1, Y1 * Y2 * Y3^-3 ]
Map:: non-degenerate
	R = (1, 15, 2, 16)(3, 17, 7, 21)(4, 18, 8, 22)(5, 19, 9, 23)(6, 20, 10, 24)(11, 25, 12, 26)(13, 27, 14, 28)(29, 43, 31, 45, 34, 48, 39, 53, 42, 56, 36, 50, 37, 51, 30, 44, 35, 49, 38, 52, 40, 54, 41, 55, 32, 46, 33, 47)
	L = (1, 32)(2, 36)(3, 33)(4, 40)(5, 41)(6, 29)(7, 37)(8, 39)(9, 42)(10, 30)(11, 31)(12, 35)(13, 38)(14, 34)(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) :: { ( 28^4 ), ( 28^28 ) }
Outer automorphisms :: reflexible
Dual of E10.52
Graph:: bipartite
	v = 8 e = 28 f = 2
	degree seq :: [ 4^7, 28 ]

E10.51 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 14, 14, 14})
Quotient :: dipole
Aut^+ = C14 (small group id <14, 2>)
Aut   = D28 (small group id <28, 3>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y2^-2, Y3^-1 * Y1 * Y2^-1 * Y3^-1, Y3^-1 * Y2^-1 * Y1 * Y3^-1, (R * Y2)^2, (Y3, Y1^-1), (Y3^-1 * Y1^-1)^2, Y1^-2 * Y2 * Y1^-1, Y1 * Y3^2 * Y1, (R * Y1)^2, (R * Y3)^2, Y2^-1 * Y3^-1 * Y1 * Y3^-1 ]
Map:: non-degenerate
	R = (1, 15, 2, 16, 8, 22, 3, 17, 9, 23, 13, 27, 4, 18, 10, 24, 7, 21, 12, 26, 14, 28, 6, 20, 11, 25, 5, 19)(29, 43, 31, 45, 32, 46, 40, 54, 39, 53, 30, 44, 37, 51, 38, 52, 42, 56, 33, 47, 36, 50, 41, 55, 35, 49, 34, 48)
	L = (1, 32)(2, 38)(3, 40)(4, 39)(5, 41)(6, 31)(7, 29)(8, 35)(9, 42)(10, 33)(11, 37)(12, 30)(13, 34)(14, 36)(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) :: { ( 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 E10.49
Graph:: bipartite
	v = 2 e = 28 f = 8
	degree seq :: [ 28^2 ]

E10.52 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 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^-2 * Y3^-1, Y3^-2 * Y1 * Y2, Y1^-1 * Y3^-2 * Y1^-1, (R * Y2)^2, (R * Y3)^2, (Y3^-1 * Y1^-1)^2, Y2 * Y1 * Y3^-2, (R * Y1)^2 ]
Map:: non-degenerate
	R = (1, 15, 2, 16, 8, 22, 6, 20, 11, 25, 14, 28, 4, 18, 10, 24, 7, 21, 12, 26, 13, 27, 3, 17, 9, 23, 5, 19)(29, 43, 31, 45, 35, 49, 42, 56, 36, 50, 33, 47, 41, 55, 38, 52, 39, 53, 30, 44, 37, 51, 40, 54, 32, 46, 34, 48)
	L = (1, 32)(2, 38)(3, 34)(4, 37)(5, 42)(6, 40)(7, 29)(8, 35)(9, 39)(10, 33)(11, 41)(12, 30)(13, 36)(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) :: { ( 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 E10.50
Graph:: bipartite
	v = 2 e = 28 f = 8
	degree seq :: [ 28^2 ]

E10.53 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 5, 5, 15})
Quotient :: dipole
Aut^+ = C15 (small group id <15, 1>)
Aut   = D30 (small group id <30, 3>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3, Y1^3, (R * Y3)^2, (R * Y1)^2, (Y3^-1, Y1^-1), (Y2^-1, Y1^-1), Y2^5, (Y3 * Y2^-1)^5, Y3^-15 ]
Map:: non-degenerate
	R = (1, 16, 2, 17, 5, 20)(3, 18, 6, 21, 9, 24)(4, 19, 7, 22, 11, 26)(8, 23, 12, 27, 14, 29)(10, 25, 13, 28, 15, 30)(31, 46, 33, 48, 38, 53, 40, 55, 34, 49)(32, 47, 36, 51, 42, 57, 43, 58, 37, 52)(35, 50, 39, 54, 44, 59, 45, 60, 41, 56)
	L = (1, 34)(2, 37)(3, 31)(4, 40)(5, 41)(6, 32)(7, 43)(8, 33)(9, 35)(10, 38)(11, 45)(12, 36)(13, 42)(14, 39)(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 ) }
Outer automorphisms :: reflexible
Dual of E10.60
Graph:: bipartite
	v = 8 e = 30 f = 4
	degree seq :: [ 6^5, 10^3 ]

E10.54 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 5, 5, 15})
Quotient :: dipole
Aut^+ = C15 (small group id <15, 1>)
Aut   = D30 (small group id <30, 3>)
|r| :: 2
Presentation :: [ R^2, Y1^3, Y2^2 * Y3^-1, Y2 * Y3^2, (Y1, Y2^-1), (R * Y1)^2, (R * Y3)^2, (R * Y2)^2, (Y3^-1, Y1), Y2 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1 ]
Map:: non-degenerate
	R = (1, 16, 2, 17, 5, 20)(3, 18, 8, 23, 12, 27)(4, 19, 9, 24, 13, 28)(6, 21, 10, 25, 14, 29)(7, 22, 11, 26, 15, 30)(31, 46, 33, 48, 34, 49, 37, 52, 36, 51)(32, 47, 38, 53, 39, 54, 41, 56, 40, 55)(35, 50, 42, 57, 43, 58, 45, 60, 44, 59)
	L = (1, 34)(2, 39)(3, 37)(4, 36)(5, 43)(6, 33)(7, 31)(8, 41)(9, 40)(10, 38)(11, 32)(12, 45)(13, 44)(14, 42)(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 ) }
Outer automorphisms :: reflexible
Dual of E10.59
Graph:: bipartite
	v = 8 e = 30 f = 4
	degree seq :: [ 6^5, 10^3 ]

E10.55 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 5, 5, 15})
Quotient :: dipole
Aut^+ = C15 (small group id <15, 1>)
Aut   = D30 (small group id <30, 3>)
|r| :: 2
Presentation :: [ R^2, Y1^3, Y2^2 * Y3, Y2 * Y3^-2, (R * Y3)^2, (Y2^-1, Y1), (Y3^-1, Y1), (R * Y2)^2, (R * Y1)^2, 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 ]
Map:: non-degenerate
	R = (1, 16, 2, 17, 5, 20)(3, 18, 8, 23, 12, 27)(4, 19, 9, 24, 13, 28)(6, 21, 10, 25, 14, 29)(7, 22, 11, 26, 15, 30)(31, 46, 33, 48, 37, 52, 34, 49, 36, 51)(32, 47, 38, 53, 41, 56, 39, 54, 40, 55)(35, 50, 42, 57, 45, 60, 43, 58, 44, 59)
	L = (1, 34)(2, 39)(3, 36)(4, 33)(5, 43)(6, 37)(7, 31)(8, 40)(9, 38)(10, 41)(11, 32)(12, 44)(13, 42)(14, 45)(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 ) }
Outer automorphisms :: reflexible
Dual of E10.58
Graph:: bipartite
	v = 8 e = 30 f = 4
	degree seq :: [ 6^5, 10^3 ]

E10.56 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 5, 5, 15})
Quotient :: dipole
Aut^+ = C15 (small group id <15, 1>)
Aut   = D30 (small group id <30, 3>)
|r| :: 2
Presentation :: [ R^2, Y1^2 * Y2^-1, Y1 * Y2^2, Y3^3 * Y2^-1, (R * Y3)^2, (R * Y1)^2, (Y3^-1, Y1^-1), (R * Y2)^2, (Y1^-1 * Y3^-1)^3 ]
Map:: non-degenerate
	R = (1, 16, 2, 17, 3, 18, 6, 21, 5, 20)(4, 19, 8, 23, 10, 25, 13, 28, 12, 27)(7, 22, 9, 24, 11, 26, 15, 30, 14, 29)(31, 46, 33, 48, 35, 50, 32, 47, 36, 51)(34, 49, 40, 55, 42, 57, 38, 53, 43, 58)(37, 52, 41, 56, 44, 59, 39, 54, 45, 60)
	L = (1, 34)(2, 38)(3, 40)(4, 41)(5, 42)(6, 43)(7, 31)(8, 45)(9, 32)(10, 44)(11, 33)(12, 39)(13, 37)(14, 35)(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) :: { ( 6, 30, 6, 30, 6, 30, 6, 30, 6, 30 ) }
Outer automorphisms :: reflexible
Dual of E10.57
Graph:: bipartite
	v = 6 e = 30 f = 6
	degree seq :: [ 10^6 ]

E10.57 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 5, 5, 15})
Quotient :: dipole
Aut^+ = C15 (small group id <15, 1>)
Aut   = D30 (small group id <30, 3>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y3^-2, Y2^3, Y3^-1 * Y1^-2 * Y2^-1, Y1^-2 * Y3^-1 * Y2^-1, Y2^-1 * Y1^-1 * Y3^-1 * Y1^-1, (R * Y1)^2, (R * Y3)^2, (Y2^-1 * R)^2, Y3^-1 * Y2 * Y3^-1 * Y2 * Y1 * Y2, Y2^-2 * Y1^10 ]
Map:: non-degenerate
	R = (1, 16, 2, 17, 8, 23, 15, 30, 13, 28, 3, 18, 9, 24, 7, 22, 4, 19, 10, 25, 6, 21, 11, 26, 14, 29, 12, 27, 5, 20)(31, 46, 33, 48, 36, 51)(32, 47, 39, 54, 41, 56)(34, 49, 42, 57, 45, 60)(35, 50, 43, 58, 40, 55)(37, 52, 44, 59, 38, 53)
	L = (1, 34)(2, 40)(3, 42)(4, 32)(5, 37)(6, 45)(7, 31)(8, 36)(9, 35)(10, 38)(11, 43)(12, 39)(13, 44)(14, 33)(15, 41)(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) :: { ( 10^6 ), ( 10^30 ) }
Outer automorphisms :: reflexible
Dual of E10.56
Graph:: bipartite
	v = 6 e = 30 f = 6
	degree seq :: [ 6^5, 30 ]

E10.58 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 5, 5, 15})
Quotient :: dipole
Aut^+ = C15 (small group id <15, 1>)
Aut   = D30 (small group id <30, 3>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y3, (R * Y1)^2, (R * Y3)^2, (Y2^-1 * R)^2, Y2 * Y3 * Y2^-1 * Y1^-1, Y2^-1 * Y3 * Y2 * Y1^-1, Y1 * Y2 * Y3 * Y2^2, Y1^5, (Y2^-1 * Y1)^3, Y3^-2 * Y2^2 * Y3^-1 * Y2, (Y3^-1 * Y1^-1)^5 ]
Map:: non-degenerate
	R = (1, 16, 2, 17, 6, 21, 11, 26, 4, 19)(3, 18, 7, 22, 13, 28, 15, 30, 10, 25)(5, 20, 8, 23, 14, 29, 9, 24, 12, 27)(31, 46, 33, 48, 39, 54, 41, 56, 45, 60, 38, 53, 32, 47, 37, 52, 42, 57, 34, 49, 40, 55, 44, 59, 36, 51, 43, 58, 35, 50)
	L = (1, 32)(2, 36)(3, 37)(4, 31)(5, 38)(6, 41)(7, 43)(8, 44)(9, 42)(10, 33)(11, 34)(12, 35)(13, 45)(14, 39)(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) :: { ( 6, 10, 6, 10, 6, 10, 6, 10, 6, 10 ), ( 6, 10, 6, 10, 6, 10, 6, 10, 6, 10, 6, 10, 6, 10, 6, 10, 6, 10, 6, 10, 6, 10, 6, 10, 6, 10, 6, 10, 6, 10 ) }
Outer automorphisms :: reflexible
Dual of E10.55
Graph:: bipartite
	v = 4 e = 30 f = 8
	degree seq :: [ 10^3, 30 ]

E10.59 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 5, 5, 15})
Quotient :: dipole
Aut^+ = C15 (small group id <15, 1>)
Aut   = D30 (small group id <30, 3>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y3^2, Y1^2 * Y3, Y2 * Y1 * Y2^2, (Y1^-1, Y2^-1), (R * Y1)^2, (R * Y3)^2, (Y3^-1, Y2^-1), (R * Y2)^2, Y2^-1 * Y1 * Y2^-1 * Y3 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 16, 2, 17, 7, 22, 4, 19, 5, 20)(3, 18, 8, 23, 13, 28, 11, 26, 12, 27)(6, 21, 9, 24, 15, 30, 14, 29, 10, 25)(31, 46, 33, 48, 40, 55, 35, 50, 42, 57, 44, 59, 34, 49, 41, 56, 45, 60, 37, 52, 43, 58, 39, 54, 32, 47, 38, 53, 36, 51)
	L = (1, 34)(2, 35)(3, 41)(4, 32)(5, 37)(6, 44)(7, 31)(8, 42)(9, 40)(10, 45)(11, 38)(12, 43)(13, 33)(14, 39)(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) :: { ( 6, 10, 6, 10, 6, 10, 6, 10, 6, 10 ), ( 6, 10, 6, 10, 6, 10, 6, 10, 6, 10, 6, 10, 6, 10, 6, 10, 6, 10, 6, 10, 6, 10, 6, 10, 6, 10, 6, 10, 6, 10 ) }
Outer automorphisms :: reflexible
Dual of E10.54
Graph:: bipartite
	v = 4 e = 30 f = 8
	degree seq :: [ 10^3, 30 ]

E10.60 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 5, 5, 15})
Quotient :: dipole
Aut^+ = C15 (small group id <15, 1>)
Aut   = D30 (small group id <30, 3>)
|r| :: 2
Presentation :: [ R^2, Y1^2 * Y3^-1, Y1 * Y3^2, Y1 * Y2^-3, (R * Y2)^2, (R * Y1)^2, (R * Y3)^2, (Y3^-1, Y2), (Y2^-1 * Y3)^3 ]
Map:: non-degenerate
	R = (1, 16, 2, 17, 4, 19, 7, 22, 5, 20)(3, 18, 8, 23, 10, 25, 12, 27, 11, 26)(6, 21, 9, 24, 13, 28, 15, 30, 14, 29)(31, 46, 33, 48, 39, 54, 32, 47, 38, 53, 43, 58, 34, 49, 40, 55, 45, 60, 37, 52, 42, 57, 44, 59, 35, 50, 41, 56, 36, 51)
	L = (1, 34)(2, 37)(3, 40)(4, 35)(5, 32)(6, 43)(7, 31)(8, 42)(9, 45)(10, 41)(11, 38)(12, 33)(13, 44)(14, 39)(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) :: { ( 6, 10, 6, 10, 6, 10, 6, 10, 6, 10 ), ( 6, 10, 6, 10, 6, 10, 6, 10, 6, 10, 6, 10, 6, 10, 6, 10, 6, 10, 6, 10, 6, 10, 6, 10, 6, 10, 6, 10, 6, 10 ) }
Outer automorphisms :: reflexible
Dual of E10.53
Graph:: bipartite
	v = 4 e = 30 f = 8
	degree seq :: [ 10^3, 30 ]

E10.61 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 3, 15, 15})
Quotient :: dipole
Aut^+ = C15 (small group id <15, 1>)
Aut   = D30 (small group id <30, 3>)
|r| :: 2
Presentation :: [ Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, R^2, Y1^3, (R * Y3)^2, (R * Y1)^2, (Y2, Y1^-1), (R * Y2 * Y3^-1)^2, Y2^-5 * Y1^-1, (Y3^-1 * Y1^-1)^3, (Y3 * Y2^-1)^15 ]
Map::
	R = (1, 16, 2, 17, 4, 19)(3, 18, 6, 21, 9, 24)(5, 20, 7, 22, 10, 25)(8, 23, 12, 27, 15, 30)(11, 26, 13, 28, 14, 29)(31, 46, 33, 48, 38, 53, 44, 59, 40, 55, 34, 49, 39, 54, 45, 60, 43, 58, 37, 52, 32, 47, 36, 51, 42, 57, 41, 56, 35, 50)
	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) :: { ( 6, 30, 6, 30, 6, 30 ), ( 6, 30, 6, 30, 6, 30, 6, 30, 6, 30, 6, 30, 6, 30, 6, 30, 6, 30, 6, 30, 6, 30, 6, 30, 6, 30, 6, 30, 6, 30 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 6 e = 30 f = 6
	degree seq :: [ 6^5, 30 ]

E10.62 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 3, 15, 15})
Quotient :: dipole
Aut^+ = C15 (small group id <15, 1>)
Aut   = D30 (small group id <30, 3>)
|r| :: 2
Presentation :: [ Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, R^2, Y1^3, (R * Y1)^2, (R * Y3)^2, (Y2, Y1^-1), Y2^-5 * Y1, (R * Y2 * Y3^-1)^2, (Y3^-1 * Y1^-1)^3, (Y3 * Y2^-1)^15 ]
Map::
	R = (1, 16, 2, 17, 4, 19)(3, 18, 6, 21, 9, 24)(5, 20, 7, 22, 10, 25)(8, 23, 12, 27, 14, 29)(11, 26, 13, 28, 15, 30)(31, 46, 33, 48, 38, 53, 43, 58, 37, 52, 32, 47, 36, 51, 42, 57, 45, 60, 40, 55, 34, 49, 39, 54, 44, 59, 41, 56, 35, 50)
	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) :: { ( 6, 30, 6, 30, 6, 30 ), ( 6, 30, 6, 30, 6, 30, 6, 30, 6, 30, 6, 30, 6, 30, 6, 30, 6, 30, 6, 30, 6, 30, 6, 30, 6, 30, 6, 30, 6, 30 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 6 e = 30 f = 6
	degree seq :: [ 6^5, 30 ]

E10.63 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 3, 15, 15})
Quotient :: dipole
Aut^+ = C15 (small group id <15, 1>)
Aut   = D30 (small group id <30, 3>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y1^-1, Y1^3, (R * Y3)^2, (Y2^-1 * R)^2, (Y3^-1, Y2^-1), (Y1, Y2^-1), (R * Y1)^2, Y1^-1 * Y2^5, (Y3^-1 * Y1^-1)^3, Y2^-1 * Y3^2 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 16, 2, 17, 4, 19)(3, 18, 6, 21, 9, 24)(5, 20, 7, 22, 10, 25)(8, 23, 12, 27, 14, 29)(11, 26, 13, 28, 15, 30)(31, 46, 33, 48, 38, 53, 43, 58, 37, 52, 32, 47, 36, 51, 42, 57, 45, 60, 40, 55, 34, 49, 39, 54, 44, 59, 41, 56, 35, 50)
	L = (1, 32)(2, 34)(3, 36)(4, 31)(5, 37)(6, 39)(7, 40)(8, 42)(9, 33)(10, 35)(11, 43)(12, 44)(13, 45)(14, 38)(15, 41)(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) :: { ( 6, 30, 6, 30, 6, 30 ), ( 6, 30, 6, 30, 6, 30, 6, 30, 6, 30, 6, 30, 6, 30, 6, 30, 6, 30, 6, 30, 6, 30, 6, 30, 6, 30, 6, 30, 6, 30 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 6 e = 30 f = 6
	degree seq :: [ 6^5, 30 ]

E10.64 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {4, 4, 4, 8})
Quotient :: edge^2
Aut^+ = Q16 (small group id <16, 9>)
Aut   = QD32 (small group id <32, 19>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1^-1 * Y3 * Y1^-1, Y3^-2 * Y1^-2, Y2^-2 * Y1^-2, Y2^-1 * Y3^-2 * Y2^-1, Y2^4, Y3^4, R * Y1 * R * Y2, Y3 * Y2 * Y3 * Y2^-1, (R * Y3)^2, Y1^4, Y1^-1 * Y2^-1 * Y3^-1 * Y1 * Y2^-1, (Y1 * Y3 * Y2^-1)^8 ]
Map:: non-degenerate
	R = (1, 17, 4, 20, 8, 24, 7, 23)(2, 18, 10, 26, 5, 21, 12, 28)(3, 19, 14, 30, 6, 22, 16, 32)(9, 25, 13, 29, 11, 27, 15, 31)(33, 34, 40, 37)(35, 45, 38, 47)(36, 44, 39, 42)(41, 48, 43, 46)(49, 51, 56, 54)(50, 57, 53, 59)(52, 64, 55, 62)(58, 63, 60, 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) :: { ( 32^4 ), ( 32^8 ) }
Outer automorphisms :: reflexible
Dual of E10.67
Graph:: bipartite
	v = 12 e = 32 f = 2
	degree seq :: [ 4^8, 8^4 ]

E10.65 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {4, 4, 4, 8})
Quotient :: edge^2
Aut^+ = Q16 (small group id <16, 9>)
Aut   = QD32 (small group id <32, 19>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y3 * Y2, Y1 * Y2 * Y3^-1, Y2^4, Y2^-2 * Y1^2, R * Y2 * R * Y1, (R * Y3)^2, Y1^-1 * Y2 * Y3^3 ]
Map:: non-degenerate
	R = (1, 17, 4, 20, 13, 29, 12, 28, 8, 24, 9, 25, 16, 32, 7, 23)(2, 18, 6, 22, 15, 31, 14, 30, 5, 21, 3, 19, 11, 27, 10, 26)(33, 34, 40, 37)(35, 39, 38, 44)(36, 42, 41, 46)(43, 48, 47, 45)(49, 51, 56, 54)(50, 52, 53, 57)(55, 59, 60, 63)(58, 61, 62, 64)
	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) :: { ( 16^4 ), ( 16^16 ) }
Outer automorphisms :: reflexible
Dual of E10.66
Graph:: bipartite
	v = 10 e = 32 f = 4
	degree seq :: [ 4^8, 16^2 ]

E10.66 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {4, 4, 4, 8})
Quotient :: loop^2
Aut^+ = Q16 (small group id <16, 9>)
Aut   = QD32 (small group id <32, 19>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1^-1 * Y3 * Y1^-1, Y3^-2 * Y1^-2, Y2^-2 * Y1^-2, Y2^-1 * Y3^-2 * Y2^-1, Y2^4, Y3^4, R * Y1 * R * Y2, Y3 * Y2 * Y3 * Y2^-1, (R * Y3)^2, Y1^4, Y1^-1 * Y2^-1 * Y3^-1 * Y1 * Y2^-1, (Y1 * Y3 * Y2^-1)^8 ]
Map:: non-degenerate
	R = (1, 17, 33, 49, 4, 20, 36, 52, 8, 24, 40, 56, 7, 23, 39, 55)(2, 18, 34, 50, 10, 26, 42, 58, 5, 21, 37, 53, 12, 28, 44, 60)(3, 19, 35, 51, 14, 30, 46, 62, 6, 22, 38, 54, 16, 32, 48, 64)(9, 25, 41, 57, 13, 29, 45, 61, 11, 27, 43, 59, 15, 31, 47, 63)
	L = (1, 18)(2, 24)(3, 29)(4, 28)(5, 17)(6, 31)(7, 26)(8, 21)(9, 32)(10, 20)(11, 30)(12, 23)(13, 22)(14, 25)(15, 19)(16, 27)(33, 51)(34, 57)(35, 56)(36, 64)(37, 59)(38, 49)(39, 62)(40, 54)(41, 53)(42, 63)(43, 50)(44, 61)(45, 58)(46, 52)(47, 60)(48, 55)
	local type(s) :: { ( 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16 ) }
Outer automorphisms :: reflexible
Dual of E10.65
Transitivity :: VT+
Graph:: bipartite
	v = 4 e = 32 f = 10
	degree seq :: [ 16^4 ]

E10.67 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {4, 4, 4, 8})
Quotient :: loop^2
Aut^+ = Q16 (small group id <16, 9>)
Aut   = QD32 (small group id <32, 19>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y3 * Y2, Y1 * Y2 * Y3^-1, Y2^4, Y2^-2 * Y1^2, R * Y2 * R * Y1, (R * Y3)^2, Y1^-1 * Y2 * Y3^3 ]
Map:: non-degenerate
	R = (1, 17, 33, 49, 4, 20, 36, 52, 13, 29, 45, 61, 12, 28, 44, 60, 8, 24, 40, 56, 9, 25, 41, 57, 16, 32, 48, 64, 7, 23, 39, 55)(2, 18, 34, 50, 6, 22, 38, 54, 15, 31, 47, 63, 14, 30, 46, 62, 5, 21, 37, 53, 3, 19, 35, 51, 11, 27, 43, 59, 10, 26, 42, 58)
	L = (1, 18)(2, 24)(3, 23)(4, 26)(5, 17)(6, 28)(7, 22)(8, 21)(9, 30)(10, 25)(11, 32)(12, 19)(13, 27)(14, 20)(15, 29)(16, 31)(33, 51)(34, 52)(35, 56)(36, 53)(37, 57)(38, 49)(39, 59)(40, 54)(41, 50)(42, 61)(43, 60)(44, 63)(45, 62)(46, 64)(47, 55)(48, 58)
	local type(s) :: { ( 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E10.64
Transitivity :: VT+
Graph:: bipartite
	v = 2 e = 32 f = 12
	degree seq :: [ 32^2 ]

E10.68 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 4, 8})
Quotient :: dipole
Aut^+ = Q16 (small group id <16, 9>)
Aut   = (C8 x C2) : C2 (small group id <32, 42>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-2 * Y2, Y3^-2 * Y2^-2, Y3 * Y2 * Y3 * Y2^-1, Y1^-1 * Y2^2 * Y1^-1, Y2^-2 * Y1^-2, Y3 * Y2^-1 * Y3^-1 * Y2^-1, (R * Y1)^2, R * Y2 * R * Y2^-1, (R * Y3)^2, Y2^4, Y1^4, Y2 * Y1^-1 * Y2^-1 * Y1^-1, Y2 * Y1^-1 * Y3 * Y1^-1 * Y3^-1, Y1 * Y3 * Y1 * Y2^-1 * Y3^-1 ]
Map:: non-degenerate
	R = (1, 17, 2, 18, 8, 24, 5, 21)(3, 19, 11, 27, 6, 22, 9, 25)(4, 20, 15, 31, 7, 23, 16, 32)(10, 26, 14, 30, 12, 28, 13, 29)(33, 49, 35, 51, 40, 56, 38, 54)(34, 50, 41, 57, 37, 53, 43, 59)(36, 52, 46, 62, 39, 55, 45, 61)(42, 58, 48, 64, 44, 60, 47, 63)
	L = (1, 36)(2, 42)(3, 45)(4, 40)(5, 44)(6, 46)(7, 33)(8, 39)(9, 47)(10, 37)(11, 48)(12, 34)(13, 38)(14, 35)(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 ) }
Outer automorphisms :: reflexible
Dual of E10.70
Graph:: bipartite
	v = 8 e = 32 f = 6
	degree seq :: [ 8^8 ]

E10.69 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 4, 8})
Quotient :: dipole
Aut^+ = Q16 (small group id <16, 9>)
Aut   = (C8 x C2) : C2 (small group id <32, 42>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-2 * Y2, Y2^-2 * Y1^-2, Y3^-2 * Y2^-2, Y3 * Y2 * Y3 * Y2^-1, R * Y2 * R * Y2^-1, Y3 * Y2^-1 * Y3^-1 * Y2^-1, Y1^-1 * Y2^2 * Y1^-1, Y1^4, (R * Y3)^2, (R * Y1)^2, Y2 * Y1^-1 * Y2^-1 * Y1^-1, Y2^4, Y2 * Y1^-1 * Y3 * Y1 * Y3^-1, Y1 * Y3 * Y1^-1 * Y2^-1 * Y3^-1, (Y3^-1 * Y1^-1)^8 ]
Map:: non-degenerate
	R = (1, 17, 2, 18, 8, 24, 5, 21)(3, 19, 11, 27, 6, 22, 9, 25)(4, 20, 15, 31, 7, 23, 16, 32)(10, 26, 13, 29, 12, 28, 14, 30)(33, 49, 35, 51, 40, 56, 38, 54)(34, 50, 41, 57, 37, 53, 43, 59)(36, 52, 46, 62, 39, 55, 45, 61)(42, 58, 47, 63, 44, 60, 48, 64)
	L = (1, 36)(2, 42)(3, 45)(4, 40)(5, 44)(6, 46)(7, 33)(8, 39)(9, 48)(10, 37)(11, 47)(12, 34)(13, 38)(14, 35)(15, 41)(16, 43)(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 ) }
Outer automorphisms :: reflexible
Dual of E10.71
Graph:: bipartite
	v = 8 e = 32 f = 6
	degree seq :: [ 8^8 ]

E10.70 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 4, 8})
Quotient :: dipole
Aut^+ = Q16 (small group id <16, 9>)
Aut   = (C8 x C2) : C2 (small group id <32, 42>)
|r| :: 2
Presentation :: [ R^2, Y3^-2 * Y2^-2, Y3 * Y2 * Y1^-2, Y3 * Y2^-1 * Y3^-1 * Y2^-1, Y1^-1 * Y2 * Y3^-1 * Y1^-1, Y3 * Y1^-1 * Y2^-1 * Y1, Y2 * Y1^-1 * Y2^-1 * Y1^-1, Y3 * Y2 * Y3 * Y2^-1, (R * Y3)^2, (R * Y1)^2, Y2^4, R * Y2 * R * Y2^-1, Y3^4, Y2^2 * Y1^4 ]
Map:: non-degenerate
	R = (1, 17, 2, 18, 8, 24, 15, 31, 13, 29, 16, 32, 14, 30, 5, 21)(3, 19, 10, 26, 4, 20, 11, 27, 6, 22, 12, 28, 7, 23, 9, 25)(33, 49, 35, 51, 45, 61, 38, 54)(34, 50, 41, 57, 48, 64, 43, 59)(36, 52, 40, 56, 39, 55, 46, 62)(37, 53, 42, 58, 47, 63, 44, 60)
	L = (1, 36)(2, 42)(3, 46)(4, 45)(5, 43)(6, 40)(7, 33)(8, 35)(9, 37)(10, 48)(11, 47)(12, 34)(13, 39)(14, 38)(15, 41)(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) :: { ( 8^8 ), ( 8^16 ) }
Outer automorphisms :: reflexible
Dual of E10.68
Graph:: bipartite
	v = 6 e = 32 f = 8
	degree seq :: [ 8^4, 16^2 ]

E10.71 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 4, 8})
Quotient :: dipole
Aut^+ = Q16 (small group id <16, 9>)
Aut   = (C8 x C2) : C2 (small group id <32, 42>)
|r| :: 2
Presentation :: [ R^2, Y2^-1 * Y3 * Y1^2, Y3^-2 * Y2^-2, Y2 * Y1^-1 * Y2^-1 * Y1^-1, Y1^-1 * Y2 * Y3 * Y1^-1, Y2^-1 * Y3^-1 * Y1^-2, (R * Y1)^2, Y3 * Y2^-1 * Y1^-2, Y3^4, Y2^4, Y3 * Y1^-1 * Y3^-1 * Y1^-1, Y2 * Y1 * Y3 * Y1^-1, (R * Y3)^2, Y3 * Y2 * Y3 * Y2^-1, (R * Y2 * Y3^-1)^2 ]
Map:: non-degenerate
	R = (1, 17, 2, 18, 8, 24, 15, 31, 13, 29, 16, 32, 14, 30, 5, 21)(3, 19, 12, 28, 7, 23, 11, 27, 6, 22, 10, 26, 4, 20, 9, 25)(33, 49, 35, 51, 45, 61, 38, 54)(34, 50, 41, 57, 48, 64, 43, 59)(36, 52, 46, 62, 39, 55, 40, 56)(37, 53, 44, 60, 47, 63, 42, 58)
	L = (1, 36)(2, 42)(3, 40)(4, 45)(5, 41)(6, 46)(7, 33)(8, 38)(9, 47)(10, 48)(11, 37)(12, 34)(13, 39)(14, 35)(15, 43)(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) :: { ( 8^8 ), ( 8^16 ) }
Outer automorphisms :: reflexible
Dual of E10.69
Graph:: bipartite
	v = 6 e = 32 f = 8
	degree seq :: [ 8^4, 16^2 ]

E10.72 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 16, 16})
Quotient :: dipole
Aut^+ = C16 (small group id <16, 1>)
Aut   = D32 (small group id <32, 18>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^-2 * Y1, (R * Y1)^2, (R * Y3)^2, (Y3, Y2^-1), (R * Y2)^2, Y3^-1 * Y1 * Y3 * Y1, Y3^4 * Y2, Y3^-3 * Y2^-1 * Y3^-1, (Y2^-1 * Y3)^16 ]
Map:: non-degenerate
	R = (1, 17, 2, 18)(3, 19, 5, 21)(4, 20, 7, 23)(6, 22, 8, 24)(9, 25, 12, 28)(10, 26, 13, 29)(11, 27, 15, 31)(14, 30, 16, 32)(33, 49, 35, 51, 34, 50, 37, 53)(36, 52, 41, 57, 39, 55, 44, 60)(38, 54, 42, 58, 40, 56, 45, 61)(43, 59, 46, 62, 47, 63, 48, 64)
	L = (1, 36)(2, 39)(3, 41)(4, 43)(5, 44)(6, 33)(7, 47)(8, 34)(9, 46)(10, 35)(11, 45)(12, 48)(13, 37)(14, 38)(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) :: { ( 32^4 ), ( 32^8 ) }
Outer automorphisms :: reflexible
Dual of E10.77
Graph:: bipartite
	v = 12 e = 32 f = 2
	degree seq :: [ 4^8, 8^4 ]

E10.73 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 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, (R * Y1)^2, (R * Y3)^2, (Y2^-1 * R)^2, (Y3^-1, Y2^-1), (Y2^-1, Y1^-1), Y1^4, (Y3^-1 * Y1^-1)^2, Y2^4 * Y1, Y2^-1 * Y3^2 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 17, 2, 18, 6, 22, 4, 20)(3, 19, 7, 23, 13, 29, 10, 26)(5, 21, 8, 24, 14, 30, 11, 27)(9, 25, 12, 28, 15, 31, 16, 32)(33, 49, 35, 51, 41, 57, 43, 59, 36, 52, 42, 58, 48, 64, 46, 62, 38, 54, 45, 61, 47, 63, 40, 56, 34, 50, 39, 55, 44, 60, 37, 53)
	L = (1, 34)(2, 38)(3, 39)(4, 33)(5, 40)(6, 36)(7, 45)(8, 46)(9, 44)(10, 35)(11, 37)(12, 47)(13, 42)(14, 43)(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) :: { ( 4, 32, 4, 32, 4, 32, 4, 32 ), ( 4, 32, 4, 32, 4, 32, 4, 32, 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 E10.75
Graph:: bipartite
	v = 5 e = 32 f = 9
	degree seq :: [ 8^4, 32 ]

E10.74 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 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, (Y3^-1, Y2^-1), (R * Y3)^2, (Y2^-1 * R)^2, (Y1, Y2^-1), (Y3^-1 * Y1^-1)^2, Y1^4, Y2^-4 * Y1, Y2^-1 * Y3^2 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 17, 2, 18, 6, 22, 4, 20)(3, 19, 7, 23, 13, 29, 10, 26)(5, 21, 8, 24, 14, 30, 11, 27)(9, 25, 15, 31, 16, 32, 12, 28)(33, 49, 35, 51, 41, 57, 40, 56, 34, 50, 39, 55, 47, 63, 46, 62, 38, 54, 45, 61, 48, 64, 43, 59, 36, 52, 42, 58, 44, 60, 37, 53)
	L = (1, 34)(2, 38)(3, 39)(4, 33)(5, 40)(6, 36)(7, 45)(8, 46)(9, 47)(10, 35)(11, 37)(12, 41)(13, 42)(14, 43)(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) :: { ( 4, 32, 4, 32, 4, 32, 4, 32 ), ( 4, 32, 4, 32, 4, 32, 4, 32, 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 E10.76
Graph:: bipartite
	v = 5 e = 32 f = 9
	degree seq :: [ 8^4, 32 ]

E10.75 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 16, 16})
Quotient :: dipole
Aut^+ = C16 (small group id <16, 1>)
Aut   = D32 (small group id <32, 18>)
|r| :: 2
Presentation :: [ Y2^2, R^2, Y3^-2 * Y2, Y2 * Y1^-1 * Y2 * Y1, (Y3^-1, Y1), (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, Y1^-2 * Y3^-1 * Y1^-2, Y3^-1 * Y1^-4 ]
Map:: non-degenerate
	R = (1, 17, 2, 18, 7, 23, 14, 30, 6, 22, 10, 26, 16, 32, 11, 27, 3, 19, 8, 24, 15, 31, 12, 28, 4, 20, 9, 25, 13, 29, 5, 21)(33, 49, 35, 51)(34, 50, 40, 56)(36, 52, 38, 54)(37, 53, 43, 59)(39, 55, 47, 63)(41, 57, 42, 58)(44, 60, 46, 62)(45, 61, 48, 64)
	L = (1, 36)(2, 41)(3, 38)(4, 35)(5, 44)(6, 33)(7, 45)(8, 42)(9, 40)(10, 34)(11, 46)(12, 43)(13, 47)(14, 37)(15, 48)(16, 39)(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 ) }
Outer automorphisms :: reflexible
Dual of E10.73
Graph:: bipartite
	v = 9 e = 32 f = 5
	degree seq :: [ 4^8, 32 ]

E10.76 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 16, 16})
Quotient :: dipole
Aut^+ = C16 (small group id <16, 1>)
Aut   = D32 (small group id <32, 18>)
|r| :: 2
Presentation :: [ Y2^2, R^2, Y2 * Y3^-2, (R * Y1)^2, (Y3^-1, Y1), Y2 * Y1^-1 * Y2 * Y1, (R * Y3)^2, (R * Y2)^2, Y1^-2 * Y3 * Y1^-2, Y1^3 * Y3^-1 * Y1, Y1 * Y2 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y2 * Y1 ]
Map:: non-degenerate
	R = (1, 17, 2, 18, 7, 23, 12, 28, 4, 20, 9, 25, 16, 32, 11, 27, 3, 19, 8, 24, 15, 31, 14, 30, 6, 22, 10, 26, 13, 29, 5, 21)(33, 49, 35, 51)(34, 50, 40, 56)(36, 52, 38, 54)(37, 53, 43, 59)(39, 55, 47, 63)(41, 57, 42, 58)(44, 60, 46, 62)(45, 61, 48, 64)
	L = (1, 36)(2, 41)(3, 38)(4, 35)(5, 44)(6, 33)(7, 48)(8, 42)(9, 40)(10, 34)(11, 46)(12, 43)(13, 39)(14, 37)(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) :: { ( 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 E10.74
Graph:: bipartite
	v = 9 e = 32 f = 5
	degree seq :: [ 4^8, 32 ]

E10.77 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 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 * Y1^-1 * Y3^-1 * Y1^-1, Y2^2 * Y1^-1 * Y2, Y3 * Y1^-3, Y3 * Y2 * Y1^2, (Y2^-1, Y1^-1), Y2 * Y3 * Y1^2, (Y3, Y2^-1), (R * Y1)^2, (R * Y3)^2, (Y3 * Y2^-1)^2, (R * Y2 * Y3^-1)^2, Y1^-1 * Y2^-1 * Y3^4 ]
Map:: non-degenerate
	R = (1, 17, 2, 18, 8, 24, 4, 20, 10, 26, 6, 22, 11, 27, 15, 31, 14, 30, 16, 32, 13, 29, 3, 19, 9, 25, 7, 23, 12, 28, 5, 21)(33, 49, 35, 51, 43, 59, 34, 50, 41, 57, 47, 63, 40, 56, 39, 55, 46, 62, 36, 52, 44, 60, 48, 64, 42, 58, 37, 53, 45, 61, 38, 54)
	L = (1, 36)(2, 42)(3, 44)(4, 43)(5, 40)(6, 46)(7, 33)(8, 38)(9, 37)(10, 47)(11, 48)(12, 34)(13, 39)(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) :: { ( 4, 8, 4, 8, 4, 8, 4, 8, 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 E10.72
Graph:: bipartite
	v = 2 e = 32 f = 12
	degree seq :: [ 32^2 ]

E10.78 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {3, 3, 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^-1, Y2^3, Y1^3, (R * Y3)^2, R * Y2 * R * Y1, Y3 * Y1 * Y3^-1 * Y2^-1, Y3 * Y2 * Y3^-1 * Y1^-1, Y3^6 ]
Map:: non-degenerate
	R = (1, 19, 4, 22, 10, 28, 16, 34, 11, 29, 5, 23)(2, 20, 6, 24, 12, 30, 17, 35, 13, 31, 7, 25)(3, 21, 8, 26, 14, 32, 18, 36, 15, 33, 9, 27)(37, 38, 39)(40, 44, 42)(41, 45, 43)(46, 48, 50)(47, 49, 51)(52, 54, 53)(55, 57, 56)(58, 60, 62)(59, 61, 63)(64, 68, 66)(65, 69, 67)(70, 71, 72)
	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) :: { ( 24^3 ), ( 24^12 ) }
Outer automorphisms :: reflexible
Dual of E10.84
Graph:: simple bipartite
	v = 15 e = 36 f = 3
	degree seq :: [ 3^12, 12^3 ]

E10.79 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {3, 3, 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, Y2^3, Y1^3, (Y2^-1, Y1^-1), Y1 * Y3 * Y2^-1 * Y3^-1, (Y3 * Y2)^2, Y2^-1 * Y3^-2 * Y1^-1, Y1^-1 * Y3^-2 * Y2^-1, (R * Y3)^2, (Y3 * Y1)^2, R * Y2 * R * Y1, Y2^-1 * Y1^-1 * Y3^4 ]
Map:: non-degenerate
	R = (1, 19, 4, 22, 15, 33, 18, 36, 8, 26, 7, 25)(2, 20, 9, 27, 6, 24, 16, 34, 13, 31, 11, 29)(3, 21, 12, 30, 5, 23, 17, 35, 10, 28, 14, 32)(37, 38, 41)(39, 44, 49)(40, 48, 52)(42, 46, 51)(43, 50, 45)(47, 54, 53)(55, 57, 60)(56, 62, 64)(58, 63, 71)(59, 67, 69)(61, 65, 66)(68, 72, 70)
	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) :: { ( 24^3 ), ( 24^12 ) }
Outer automorphisms :: reflexible
Dual of E10.85
Graph:: simple bipartite
	v = 15 e = 36 f = 3
	degree seq :: [ 3^12, 12^3 ]

E10.80 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {3, 3, 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 * Y1^-1, Y3^3, (R * Y3)^2, R * Y1 * R * Y2, Y3 * Y1 * Y3 * Y1^-1, Y2^6, Y1^6, Y3 * Y1^-1 * Y2^-1 * Y1^-1 * Y3^-1 * Y2^-1 * Y1^-1 * Y3^-1 * Y2^-1 ]
Map:: polytopal non-degenerate
	R = (1, 19, 3, 21, 5, 23)(2, 20, 7, 25, 8, 26)(4, 22, 10, 28, 9, 27)(6, 24, 13, 31, 14, 32)(11, 29, 15, 33, 16, 34)(12, 30, 17, 35, 18, 36)(37, 38, 42, 48, 47, 40)(39, 44, 49, 54, 51, 45)(41, 43, 50, 53, 52, 46)(55, 56, 60, 66, 65, 58)(57, 62, 67, 72, 69, 63)(59, 61, 68, 71, 70, 64)
	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) :: { ( 12^6 ) }
Outer automorphisms :: reflexible
Dual of E10.87
Graph:: simple bipartite
	v = 12 e = 36 f = 6
	degree seq :: [ 6^12 ]

E10.81 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {3, 3, 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 * Y1^-1, Y3^3, (Y3 * Y1^-1)^2, R * Y1 * R * Y2, (Y1 * Y3^-1)^2, (R * Y3)^2, Y3^-1 * Y1 * Y2 * Y3 * Y1^-2, Y1^6, Y2^6, Y1^-3 * Y3 * Y2^-1 * Y1^-1 * Y3^-1 * Y2^-1 ]
Map:: polytopal non-degenerate
	R = (1, 19, 3, 21, 5, 23)(2, 20, 7, 25, 8, 26)(4, 22, 10, 28, 12, 30)(6, 24, 15, 33, 16, 34)(9, 27, 14, 32, 13, 31)(11, 29, 18, 36, 17, 35)(37, 38, 42, 50, 47, 40)(39, 45, 51, 48, 54, 44)(41, 46, 52, 43, 53, 49)(55, 56, 60, 68, 65, 58)(57, 63, 69, 66, 72, 62)(59, 64, 70, 61, 71, 67)
	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) :: { ( 12^6 ) }
Outer automorphisms :: reflexible
Dual of E10.86
Graph:: simple bipartite
	v = 12 e = 36 f = 6
	degree seq :: [ 6^12 ]

E10.82 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {3, 3, 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, Y1^-1 * Y2, Y3^3, (R * Y3)^2, Y3^-1 * Y2^-1 * Y3^-1 * Y1^-1, R * Y2 * R * Y1, Y2^-1 * Y1^-5, Y3 * Y1^-1 * Y3 * Y1^3, Y2^6, Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-2 ]
Map:: non-degenerate
	R = (1, 19, 3, 21, 5, 23)(2, 20, 7, 25, 8, 26)(4, 22, 11, 29, 9, 27)(6, 24, 15, 33, 16, 34)(10, 28, 14, 32, 13, 31)(12, 30, 18, 36, 17, 35)(37, 38, 42, 50, 48, 40)(39, 45, 51, 44, 54, 46)(41, 49, 52, 47, 53, 43)(55, 56, 60, 68, 66, 58)(57, 63, 69, 62, 72, 64)(59, 67, 70, 65, 71, 61)
	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) :: { ( 12^6 ) }
Outer automorphisms :: reflexible
Dual of E10.88
Graph:: simple bipartite
	v = 12 e = 36 f = 6
	degree seq :: [ 6^12 ]

E10.83 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {3, 3, 6, 6})
Quotient :: edge^2
Aut^+ = C3 x S3 (small group id <18, 3>)
Aut   = C6 x S3 (small group id <36, 12>)
|r| :: 2
Presentation :: [ R^2, Y2^-1 * Y1^-1, Y3^3, (R * Y3)^2, R * Y2 * R * Y1, Y3 * Y1 * Y3 * Y1^-1, Y3 * Y2 * Y3 * Y2^-1, Y1^6, Y2^6 ]
Map:: non-degenerate
	R = (1, 19, 4, 22, 5, 23)(2, 20, 7, 25, 8, 26)(3, 21, 10, 28, 11, 29)(6, 24, 13, 31, 14, 32)(9, 27, 15, 33, 16, 34)(12, 30, 17, 35, 18, 36)(37, 38, 42, 48, 45, 39)(40, 44, 49, 54, 51, 47)(41, 43, 50, 53, 52, 46)(55, 57, 63, 66, 60, 56)(58, 65, 69, 72, 67, 62)(59, 64, 70, 71, 68, 61)
	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) :: { ( 12^6 ) }
Outer automorphisms :: reflexible
Dual of E10.89
Graph:: simple bipartite
	v = 12 e = 36 f = 6
	degree seq :: [ 6^12 ]

E10.84 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {3, 3, 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^-1, Y2^3, Y1^3, (R * Y3)^2, R * Y2 * R * Y1, Y3 * Y1 * Y3^-1 * Y2^-1, Y3 * Y2 * Y3^-1 * Y1^-1, Y3^6 ]
Map:: non-degenerate
	R = (1, 19, 37, 55, 4, 22, 40, 58, 10, 28, 46, 64, 16, 34, 52, 70, 11, 29, 47, 65, 5, 23, 41, 59)(2, 20, 38, 56, 6, 24, 42, 60, 12, 30, 48, 66, 17, 35, 53, 71, 13, 31, 49, 67, 7, 25, 43, 61)(3, 21, 39, 57, 8, 26, 44, 62, 14, 32, 50, 68, 18, 36, 54, 72, 15, 33, 51, 69, 9, 27, 45, 63)
	L = (1, 20)(2, 21)(3, 19)(4, 26)(5, 27)(6, 22)(7, 23)(8, 24)(9, 25)(10, 30)(11, 31)(12, 32)(13, 33)(14, 28)(15, 29)(16, 36)(17, 34)(18, 35)(37, 57)(38, 55)(39, 56)(40, 60)(41, 61)(42, 62)(43, 63)(44, 58)(45, 59)(46, 68)(47, 69)(48, 64)(49, 65)(50, 66)(51, 67)(52, 71)(53, 72)(54, 70)
	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 E10.78
Transitivity :: VT+
Graph::
	v = 3 e = 36 f = 15
	degree seq :: [ 24^3 ]

E10.85 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {3, 3, 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, Y2^3, Y1^3, (Y2^-1, Y1^-1), Y1 * Y3 * Y2^-1 * Y3^-1, (Y3 * Y2)^2, Y2^-1 * Y3^-2 * Y1^-1, Y1^-1 * Y3^-2 * Y2^-1, (R * Y3)^2, (Y3 * Y1)^2, R * Y2 * R * Y1, Y2^-1 * Y1^-1 * Y3^4 ]
Map:: non-degenerate
	R = (1, 19, 37, 55, 4, 22, 40, 58, 15, 33, 51, 69, 18, 36, 54, 72, 8, 26, 44, 62, 7, 25, 43, 61)(2, 20, 38, 56, 9, 27, 45, 63, 6, 24, 42, 60, 16, 34, 52, 70, 13, 31, 49, 67, 11, 29, 47, 65)(3, 21, 39, 57, 12, 30, 48, 66, 5, 23, 41, 59, 17, 35, 53, 71, 10, 28, 46, 64, 14, 32, 50, 68)
	L = (1, 20)(2, 23)(3, 26)(4, 30)(5, 19)(6, 28)(7, 32)(8, 31)(9, 25)(10, 33)(11, 36)(12, 34)(13, 21)(14, 27)(15, 24)(16, 22)(17, 29)(18, 35)(37, 57)(38, 62)(39, 60)(40, 63)(41, 67)(42, 55)(43, 65)(44, 64)(45, 71)(46, 56)(47, 66)(48, 61)(49, 69)(50, 72)(51, 59)(52, 68)(53, 58)(54, 70)
	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 E10.79
Transitivity :: VT+
Graph::
	v = 3 e = 36 f = 15
	degree seq :: [ 24^3 ]

E10.86 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {3, 3, 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 * Y1^-1, Y3^3, (R * Y3)^2, R * Y1 * R * Y2, Y3 * Y1 * Y3 * Y1^-1, Y2^6, Y1^6, Y3 * Y1^-1 * Y2^-1 * Y1^-1 * Y3^-1 * Y2^-1 * Y1^-1 * Y3^-1 * Y2^-1 ]
Map:: polytopal non-degenerate
	R = (1, 19, 37, 55, 3, 21, 39, 57, 5, 23, 41, 59)(2, 20, 38, 56, 7, 25, 43, 61, 8, 26, 44, 62)(4, 22, 40, 58, 10, 28, 46, 64, 9, 27, 45, 63)(6, 24, 42, 60, 13, 31, 49, 67, 14, 32, 50, 68)(11, 29, 47, 65, 15, 33, 51, 69, 16, 34, 52, 70)(12, 30, 48, 66, 17, 35, 53, 71, 18, 36, 54, 72)
	L = (1, 20)(2, 24)(3, 26)(4, 19)(5, 25)(6, 30)(7, 32)(8, 31)(9, 21)(10, 23)(11, 22)(12, 29)(13, 36)(14, 35)(15, 27)(16, 28)(17, 34)(18, 33)(37, 56)(38, 60)(39, 62)(40, 55)(41, 61)(42, 66)(43, 68)(44, 67)(45, 57)(46, 59)(47, 58)(48, 65)(49, 72)(50, 71)(51, 63)(52, 64)(53, 70)(54, 69)
	local type(s) :: { ( 6^12 ) }
Outer automorphisms :: reflexible
Dual of E10.81
Transitivity :: VT+
Graph:: bipartite
	v = 6 e = 36 f = 12
	degree seq :: [ 12^6 ]

E10.87 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {3, 3, 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 * Y1^-1, Y3^3, (Y3 * Y1^-1)^2, R * Y1 * R * Y2, (Y1 * Y3^-1)^2, (R * Y3)^2, Y3^-1 * Y1 * Y2 * Y3 * Y1^-2, Y1^6, Y2^6, Y1^-3 * Y3 * Y2^-1 * Y1^-1 * Y3^-1 * Y2^-1 ]
Map:: polytopal non-degenerate
	R = (1, 19, 37, 55, 3, 21, 39, 57, 5, 23, 41, 59)(2, 20, 38, 56, 7, 25, 43, 61, 8, 26, 44, 62)(4, 22, 40, 58, 10, 28, 46, 64, 12, 30, 48, 66)(6, 24, 42, 60, 15, 33, 51, 69, 16, 34, 52, 70)(9, 27, 45, 63, 14, 32, 50, 68, 13, 31, 49, 67)(11, 29, 47, 65, 18, 36, 54, 72, 17, 35, 53, 71)
	L = (1, 20)(2, 24)(3, 27)(4, 19)(5, 28)(6, 32)(7, 35)(8, 21)(9, 33)(10, 34)(11, 22)(12, 36)(13, 23)(14, 29)(15, 30)(16, 25)(17, 31)(18, 26)(37, 56)(38, 60)(39, 63)(40, 55)(41, 64)(42, 68)(43, 71)(44, 57)(45, 69)(46, 70)(47, 58)(48, 72)(49, 59)(50, 65)(51, 66)(52, 61)(53, 67)(54, 62)
	local type(s) :: { ( 6^12 ) }
Outer automorphisms :: reflexible
Dual of E10.80
Transitivity :: VT+
Graph:: bipartite
	v = 6 e = 36 f = 12
	degree seq :: [ 12^6 ]

E10.88 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {3, 3, 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, Y1^-1 * Y2, Y3^3, (R * Y3)^2, Y3^-1 * Y2^-1 * Y3^-1 * Y1^-1, R * Y2 * R * Y1, Y2^-1 * Y1^-5, Y3 * Y1^-1 * Y3 * Y1^3, Y2^6, Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-2 ]
Map:: non-degenerate
	R = (1, 19, 37, 55, 3, 21, 39, 57, 5, 23, 41, 59)(2, 20, 38, 56, 7, 25, 43, 61, 8, 26, 44, 62)(4, 22, 40, 58, 11, 29, 47, 65, 9, 27, 45, 63)(6, 24, 42, 60, 15, 33, 51, 69, 16, 34, 52, 70)(10, 28, 46, 64, 14, 32, 50, 68, 13, 31, 49, 67)(12, 30, 48, 66, 18, 36, 54, 72, 17, 35, 53, 71)
	L = (1, 20)(2, 24)(3, 27)(4, 19)(5, 31)(6, 32)(7, 23)(8, 36)(9, 33)(10, 21)(11, 35)(12, 22)(13, 34)(14, 30)(15, 26)(16, 29)(17, 25)(18, 28)(37, 56)(38, 60)(39, 63)(40, 55)(41, 67)(42, 68)(43, 59)(44, 72)(45, 69)(46, 57)(47, 71)(48, 58)(49, 70)(50, 66)(51, 62)(52, 65)(53, 61)(54, 64)
	local type(s) :: { ( 6^12 ) }
Outer automorphisms :: reflexible
Dual of E10.82
Transitivity :: VT+
Graph:: bipartite
	v = 6 e = 36 f = 12
	degree seq :: [ 12^6 ]

E10.89 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {3, 3, 6, 6})
Quotient :: loop^2
Aut^+ = C3 x S3 (small group id <18, 3>)
Aut   = C6 x S3 (small group id <36, 12>)
|r| :: 2
Presentation :: [ R^2, Y2^-1 * Y1^-1, Y3^3, (R * Y3)^2, R * Y2 * R * Y1, Y3 * Y1 * Y3 * Y1^-1, Y3 * Y2 * Y3 * Y2^-1, Y1^6, Y2^6 ]
Map:: non-degenerate
	R = (1, 19, 37, 55, 4, 22, 40, 58, 5, 23, 41, 59)(2, 20, 38, 56, 7, 25, 43, 61, 8, 26, 44, 62)(3, 21, 39, 57, 10, 28, 46, 64, 11, 29, 47, 65)(6, 24, 42, 60, 13, 31, 49, 67, 14, 32, 50, 68)(9, 27, 45, 63, 15, 33, 51, 69, 16, 34, 52, 70)(12, 30, 48, 66, 17, 35, 53, 71, 18, 36, 54, 72)
	L = (1, 20)(2, 24)(3, 19)(4, 26)(5, 25)(6, 30)(7, 32)(8, 31)(9, 21)(10, 23)(11, 22)(12, 27)(13, 36)(14, 35)(15, 29)(16, 28)(17, 34)(18, 33)(37, 57)(38, 55)(39, 63)(40, 65)(41, 64)(42, 56)(43, 59)(44, 58)(45, 66)(46, 70)(47, 69)(48, 60)(49, 62)(50, 61)(51, 72)(52, 71)(53, 68)(54, 67)
	local type(s) :: { ( 6^12 ) }
Outer automorphisms :: reflexible
Dual of E10.83
Transitivity :: VT+
Graph:: bipartite
	v = 6 e = 36 f = 12
	degree seq :: [ 12^6 ]

E10.90 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 3, 6, 6})
Quotient :: dipole
Aut^+ = C3 x S3 (small group id <18, 3>)
Aut   = S3 x S3 (small group id <36, 10>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2^3, Y1^3, Y3 * Y2 * Y3 * Y2^-1, (R * Y2)^2, (R * Y1)^2, (R * Y3)^2, (Y1, Y2^-1), Y1 * Y2^-1 * Y3 * Y1 * Y3 ]
Map:: non-degenerate
	R = (1, 19, 2, 20, 5, 23)(3, 21, 7, 25, 11, 29)(4, 22, 12, 30, 13, 31)(6, 24, 9, 27, 16, 34)(8, 26, 10, 28, 18, 36)(14, 32, 15, 33, 17, 35)(37, 55, 39, 57, 42, 60)(38, 56, 43, 61, 45, 63)(40, 58, 46, 64, 50, 68)(41, 59, 47, 65, 52, 70)(44, 62, 53, 71, 49, 67)(48, 66, 54, 72, 51, 69)
	L = (1, 40)(2, 44)(3, 46)(4, 37)(5, 51)(6, 50)(7, 53)(8, 38)(9, 49)(10, 39)(11, 48)(12, 47)(13, 45)(14, 42)(15, 41)(16, 54)(17, 43)(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) :: { ( 12^6 ) }
Outer automorphisms :: reflexible
Dual of E10.111
Graph:: simple bipartite
	v = 12 e = 36 f = 6
	degree seq :: [ 6^12 ]

E10.91 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 3, 6, 6})
Quotient :: dipole
Aut^+ = C3 x S3 (small group id <18, 3>)
Aut   = S3 x S3 (small group id <36, 10>)
|r| :: 2
Presentation :: [ 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, (R * Y2 * Y3^-1)^2, (Y3^-1 * Y1^-1)^3, Y2^6, (Y3 * Y2^-1)^6 ]
Map::
	R = (1, 19, 2, 20, 4, 22)(3, 21, 8, 26, 6, 24)(5, 23, 10, 28, 7, 25)(9, 27, 12, 30, 14, 32)(11, 29, 13, 31, 16, 34)(15, 33, 18, 36, 17, 35)(37, 55, 39, 57, 45, 63, 51, 69, 47, 65, 41, 59)(38, 56, 42, 60, 48, 66, 53, 71, 49, 67, 43, 61)(40, 58, 44, 62, 50, 68, 54, 72, 52, 70, 46, 64)
	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) :: { ( 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 = 9 e = 36 f = 9
	degree seq :: [ 6^6, 12^3 ]

E10.92 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 3, 6, 6})
Quotient :: dipole
Aut^+ = C3 x S3 (small group id <18, 3>)
Aut   = S3 x S3 (small group id <36, 10>)
|r| :: 2
Presentation :: [ Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, R^2, Y1^3, (R * Y3)^2, (R * Y1)^2, (Y2 * Y1^-1)^2, Y2^2 * Y1 * Y2^-2 * Y1^-1, Y1^-1 * Y2^-1 * Y1^-1 * Y2^-3, (R * Y2 * Y3^-1)^2, Y2^6, (Y3^-1 * Y1^-1)^3, (Y3 * Y2^-1)^6 ]
Map::
	R = (1, 19, 2, 20, 4, 22)(3, 21, 8, 26, 7, 25)(5, 23, 10, 28, 12, 30)(6, 24, 14, 32, 11, 29)(9, 27, 15, 33, 18, 36)(13, 31, 16, 34, 17, 35)(37, 55, 39, 57, 45, 63, 50, 68, 49, 67, 41, 59)(38, 56, 42, 60, 51, 69, 48, 66, 52, 70, 43, 61)(40, 58, 46, 64, 54, 72, 44, 62, 53, 71, 47, 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) :: { ( 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 = 9 e = 36 f = 9
	degree seq :: [ 6^6, 12^3 ]

E10.93 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 3, 6, 6})
Quotient :: dipole
Aut^+ = C3 x S3 (small group id <18, 3>)
Aut   = S3 x S3 (small group id <36, 10>)
|r| :: 2
Presentation :: [ Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, R^2, Y1^3, (Y2^-1 * Y1^-1)^2, (Y2 * Y1)^2, (Y2^-1 * Y1^-1)^2, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, Y2 * Y1^-1 * Y2^3 * Y1^-1, (Y3^-1 * Y1^-1)^3, (Y3 * Y2^-1)^6 ]
Map::
	R = (1, 19, 2, 20, 4, 22)(3, 21, 8, 26, 10, 28)(5, 23, 12, 30, 6, 24)(7, 25, 15, 33, 11, 29)(9, 27, 14, 32, 18, 36)(13, 31, 16, 34, 17, 35)(37, 55, 39, 57, 45, 63, 51, 69, 49, 67, 41, 59)(38, 56, 42, 60, 50, 68, 46, 64, 52, 70, 43, 61)(40, 58, 47, 65, 54, 72, 48, 66, 53, 71, 44, 62)
	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) :: { ( 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 = 9 e = 36 f = 9
	degree seq :: [ 6^6, 12^3 ]

E10.94 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 3, 6, 6})
Quotient :: dipole
Aut^+ = C3 x S3 (small group id <18, 3>)
Aut   = S3 x S3 (small group id <36, 10>)
|r| :: 2
Presentation :: [ R^2, Y1^3, Y3^3, Y2 * Y3^-1 * Y2, (R * Y1)^2, Y2 * Y1 * Y2^-1 * Y1, (R * Y3)^2, (R * Y2)^2, (Y3^-1, Y1^-1) ]
Map:: non-degenerate
	R = (1, 19, 2, 20, 5, 23)(3, 21, 12, 30, 8, 26)(4, 22, 9, 27, 14, 32)(6, 24, 15, 33, 10, 28)(7, 25, 11, 29, 16, 34)(13, 31, 18, 36, 17, 35)(37, 55, 39, 57, 40, 58, 49, 67, 43, 61, 42, 60)(38, 56, 44, 62, 45, 63, 53, 71, 47, 65, 46, 64)(41, 59, 48, 66, 50, 68, 54, 72, 52, 70, 51, 69)
	L = (1, 40)(2, 45)(3, 49)(4, 43)(5, 50)(6, 39)(7, 37)(8, 53)(9, 47)(10, 44)(11, 38)(12, 54)(13, 42)(14, 52)(15, 48)(16, 41)(17, 46)(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, 12, 6, 12, 6, 12 ), ( 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12 ) }
Outer automorphisms :: reflexible
Dual of E10.95
Graph:: bipartite
	v = 9 e = 36 f = 9
	degree seq :: [ 6^6, 12^3 ]

E10.95 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 3, 6, 6})
Quotient :: dipole
Aut^+ = C3 x S3 (small group id <18, 3>)
Aut   = S3 x S3 (small group id <36, 10>)
|r| :: 2
Presentation :: [ R^2, Y1^3, Y3^3, Y2 * Y3^-1 * Y2, (Y3^-1, Y1), (Y2 * Y1^-1)^2, (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, (Y3^-1 * Y2^-1)^2, Y2 * Y1 * Y3^-1 * Y2^-1 * Y1 ]
Map:: non-degenerate
	R = (1, 19, 2, 20, 5, 23)(3, 21, 12, 30, 10, 28)(4, 22, 9, 27, 14, 32)(6, 24, 15, 33, 18, 36)(7, 25, 11, 29, 17, 35)(8, 26, 13, 31, 16, 34)(37, 55, 39, 57, 40, 58, 49, 67, 43, 61, 42, 60)(38, 56, 44, 62, 45, 63, 54, 72, 47, 65, 46, 64)(41, 59, 51, 69, 50, 68, 48, 66, 53, 71, 52, 70)
	L = (1, 40)(2, 45)(3, 49)(4, 43)(5, 50)(6, 39)(7, 37)(8, 54)(9, 47)(10, 44)(11, 38)(12, 52)(13, 42)(14, 53)(15, 48)(16, 51)(17, 41)(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, 12, 6, 12, 6, 12 ), ( 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12 ) }
Outer automorphisms :: reflexible
Dual of E10.94
Graph:: bipartite
	v = 9 e = 36 f = 9
	degree seq :: [ 6^6, 12^3 ]

E10.96 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 3, 6, 6})
Quotient :: dipole
Aut^+ = C3 x S3 (small group id <18, 3>)
Aut   = S3 x S3 (small group id <36, 10>)
|r| :: 2
Presentation :: [ R^2, Y1^3, Y2 * Y3^-1 * Y2, Y3^3, (Y1 * Y2)^2, (Y3^-1, Y1), (R * Y1)^2, (R * Y3)^2, (R * Y2)^2 ]
Map:: non-degenerate
	R = (1, 19, 2, 20, 5, 23)(3, 21, 12, 30, 14, 32)(4, 22, 9, 27, 15, 33)(6, 24, 18, 36, 8, 26)(7, 25, 11, 29, 17, 35)(10, 28, 13, 31, 16, 34)(37, 55, 39, 57, 40, 58, 49, 67, 43, 61, 42, 60)(38, 56, 44, 62, 45, 63, 50, 68, 47, 65, 46, 64)(41, 59, 52, 70, 51, 69, 54, 72, 53, 71, 48, 66)
	L = (1, 40)(2, 45)(3, 49)(4, 43)(5, 51)(6, 39)(7, 37)(8, 50)(9, 47)(10, 44)(11, 38)(12, 52)(13, 42)(14, 46)(15, 53)(16, 54)(17, 41)(18, 48)(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 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 9 e = 36 f = 9
	degree seq :: [ 6^6, 12^3 ]

E10.97 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 3, 6, 6})
Quotient :: dipole
Aut^+ = C3 x S3 (small group id <18, 3>)
Aut   = S3 x S3 (small group id <36, 10>)
|r| :: 2
Presentation :: [ R^2, Y1^3, Y2 * Y1 * Y2, Y3^3, (Y3^-1, Y1), Y3^-1 * Y2 * Y3^-1 * Y2^-1, (R * Y1)^2, (R * Y3)^2, (Y2 * Y1^-1)^2, (Y3 * Y2 * Y1^-1)^2, (R * Y2 * Y3^-1)^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, 16, 34, 18, 36)(12, 30, 14, 32, 17, 35)(37, 55, 39, 57, 41, 59, 45, 63, 38, 56, 42, 60)(40, 58, 48, 66, 49, 67, 53, 71, 44, 62, 50, 68)(43, 61, 47, 65, 51, 69, 54, 72, 46, 64, 52, 70)
	L = (1, 40)(2, 44)(3, 47)(4, 43)(5, 49)(6, 52)(7, 37)(8, 46)(9, 54)(10, 38)(11, 48)(12, 39)(13, 51)(14, 42)(15, 41)(16, 50)(17, 45)(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 ) }
Outer automorphisms :: reflexible
Dual of E10.101
Graph:: bipartite
	v = 9 e = 36 f = 9
	degree seq :: [ 6^6, 12^3 ]

E10.98 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 3, 6, 6})
Quotient :: dipole
Aut^+ = C3 x S3 (small group id <18, 3>)
Aut   = S3 x S3 (small group id <36, 10>)
|r| :: 2
Presentation :: [ R^2, Y1^3, Y3^3, Y2 * Y1^-1 * Y2, (Y3^-1, Y1), (R * Y1)^2, (R * Y3)^2, Y3 * Y2^-1 * Y3 * Y2, (R * Y2 * Y3^-1)^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, 16, 34)(12, 30, 18, 36, 14, 32)(37, 55, 39, 57, 38, 56, 44, 62, 41, 59, 42, 60)(40, 58, 48, 66, 45, 63, 54, 72, 49, 67, 50, 68)(43, 61, 47, 65, 46, 64, 53, 71, 51, 69, 52, 70)
	L = (1, 40)(2, 45)(3, 47)(4, 43)(5, 49)(6, 52)(7, 37)(8, 53)(9, 46)(10, 38)(11, 48)(12, 39)(13, 51)(14, 42)(15, 41)(16, 50)(17, 54)(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 ) }
Outer automorphisms :: reflexible
Dual of E10.103
Graph:: bipartite
	v = 9 e = 36 f = 9
	degree seq :: [ 6^6, 12^3 ]

E10.99 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 3, 6, 6})
Quotient :: dipole
Aut^+ = C3 x S3 (small group id <18, 3>)
Aut   = S3 x S3 (small group id <36, 10>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1, Y1^3, (R * Y3)^2, (R * Y1)^2, Y1^-1 * Y2 * Y1^-1 * Y2^-1, (R * Y2 * Y3^-1)^2, Y2^6, (Y3^-1 * Y1^-1)^3, (Y3 * Y2^-1)^6 ]
Map:: non-degenerate
	R = (1, 19, 2, 20, 4, 22)(3, 21, 8, 26, 6, 24)(5, 23, 10, 28, 7, 25)(9, 27, 12, 30, 14, 32)(11, 29, 13, 31, 16, 34)(15, 33, 18, 36, 17, 35)(37, 55, 39, 57, 45, 63, 51, 69, 47, 65, 41, 59)(38, 56, 42, 60, 48, 66, 53, 71, 49, 67, 43, 61)(40, 58, 44, 62, 50, 68, 54, 72, 52, 70, 46, 64)
	L = (1, 38)(2, 40)(3, 44)(4, 37)(5, 46)(6, 39)(7, 41)(8, 42)(9, 48)(10, 43)(11, 49)(12, 50)(13, 52)(14, 45)(15, 54)(16, 47)(17, 51)(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 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 9 e = 36 f = 9
	degree seq :: [ 6^6, 12^3 ]

E10.100 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 3, 6, 6})
Quotient :: dipole
Aut^+ = C3 x S3 (small group id <18, 3>)
Aut   = S3 x S3 (small group id <36, 10>)
|r| :: 2
Presentation :: [ R^2, Y1^3, Y3^3, Y2^-1 * Y3 * Y1^-1 * Y2^-1, Y1 * Y2 * Y3 * Y2, Y3^-1 * Y2 * Y3^-1 * Y2^-1, (Y3^-1, Y1^-1), (R * Y3)^2, (Y2 * Y1^-1)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y3 * Y1^-1 * Y2^4 ]
Map:: non-degenerate
	R = (1, 19, 2, 20, 5, 23)(3, 21, 12, 30, 10, 28)(4, 22, 9, 27, 13, 31)(6, 24, 16, 34, 15, 33)(7, 25, 11, 29, 17, 35)(8, 26, 18, 36, 14, 32)(37, 55, 39, 57, 49, 67, 54, 72, 47, 65, 42, 60)(38, 56, 44, 62, 40, 58, 51, 69, 53, 71, 46, 64)(41, 59, 52, 70, 45, 63, 48, 66, 43, 61, 50, 68)
	L = (1, 40)(2, 45)(3, 50)(4, 43)(5, 49)(6, 48)(7, 37)(8, 42)(9, 47)(10, 54)(11, 38)(12, 44)(13, 53)(14, 51)(15, 39)(16, 46)(17, 41)(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, 12, 6, 12, 6, 12 ), ( 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 9 e = 36 f = 9
	degree seq :: [ 6^6, 12^3 ]

E10.101 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 3, 6, 6})
Quotient :: dipole
Aut^+ = C3 x S3 (small group id <18, 3>)
Aut   = S3 x S3 (small group id <36, 10>)
|r| :: 2
Presentation :: [ R^2, Y1^3, Y3^3, Y3 * Y2^2 * Y1, (R * Y1)^2, (Y3^-1, Y1^-1), (R * Y3)^2, (Y2 * Y1^-1)^2, Y2^-1 * Y3 * Y2^-1 * Y1^-1, Y2^-1 * Y3 * Y1^-1 * Y3 * Y2^-1, (R * Y2 * Y3^-1)^2 ]
Map:: non-degenerate
	R = (1, 19, 2, 20, 5, 23)(3, 21, 12, 30, 10, 28)(4, 22, 9, 27, 16, 34)(6, 24, 17, 35, 14, 32)(7, 25, 11, 29, 13, 31)(8, 26, 18, 36, 15, 33)(37, 55, 39, 57, 49, 67, 54, 72, 45, 63, 42, 60)(38, 56, 44, 62, 43, 61, 50, 68, 52, 70, 46, 64)(40, 58, 51, 69, 41, 59, 53, 71, 47, 65, 48, 66)
	L = (1, 40)(2, 45)(3, 50)(4, 43)(5, 52)(6, 44)(7, 37)(8, 48)(9, 47)(10, 53)(11, 38)(12, 42)(13, 41)(14, 51)(15, 39)(16, 49)(17, 54)(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, 12, 6, 12, 6, 12 ), ( 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12 ) }
Outer automorphisms :: reflexible
Dual of E10.97
Graph:: bipartite
	v = 9 e = 36 f = 9
	degree seq :: [ 6^6, 12^3 ]

E10.102 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 3, 6, 6})
Quotient :: dipole
Aut^+ = C3 x S3 (small group id <18, 3>)
Aut   = S3 x S3 (small group id <36, 10>)
|r| :: 2
Presentation :: [ R^2, Y1^3, Y3^3, Y3 * Y2^2 * Y1^-1, Y3^-1 * Y2 * Y1^-1 * Y2, (R * Y3)^2, (R * Y1)^2, Y2^2 * Y3 * Y1^-1, (Y1^-1 * Y2^-1)^2, Y3^-1 * Y2^2 * Y3^-1 * Y1^-1, Y2^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y2^-1, (R * Y2 * Y3^-1)^2, (Y1 * Y3^-1)^3 ]
Map:: non-degenerate
	R = (1, 19, 2, 20, 5, 23)(3, 21, 12, 30, 14, 32)(4, 22, 9, 27, 15, 33)(6, 24, 13, 31, 8, 26)(7, 25, 11, 29, 17, 35)(10, 28, 18, 36, 16, 34)(37, 55, 39, 57, 47, 65, 54, 72, 51, 69, 42, 60)(38, 56, 44, 62, 53, 71, 50, 68, 40, 58, 46, 64)(41, 59, 52, 70, 43, 61, 49, 67, 45, 63, 48, 66)
	L = (1, 40)(2, 45)(3, 49)(4, 43)(5, 51)(6, 52)(7, 37)(8, 54)(9, 47)(10, 39)(11, 38)(12, 44)(13, 46)(14, 42)(15, 53)(16, 50)(17, 41)(18, 48)(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 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 9 e = 36 f = 9
	degree seq :: [ 6^6, 12^3 ]

E10.103 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 3, 6, 6})
Quotient :: dipole
Aut^+ = C3 x S3 (small group id <18, 3>)
Aut   = S3 x S3 (small group id <36, 10>)
|r| :: 2
Presentation :: [ R^2, Y1^3, Y3^3, Y2^2 * Y1^-1 * Y3^-1, Y2^-1 * Y1 * Y3 * Y2^-1, Y2^-1 * Y3^-1 * Y2 * Y3^-1, Y3^-1 * Y2^-1 * Y1 * Y2^-1, (R * Y3)^2, (Y3^-1, Y1^-1), (R * Y1)^2, (Y1^-1 * Y2^-1)^2, Y2^-1 * Y1^-1 * Y3 * Y1^-1 * Y2^-1, (R * Y2 * Y3^-1)^2 ]
Map:: non-degenerate
	R = (1, 19, 2, 20, 5, 23)(3, 21, 12, 30, 13, 31)(4, 22, 9, 27, 15, 33)(6, 24, 14, 32, 8, 26)(7, 25, 11, 29, 17, 35)(10, 28, 18, 36, 16, 34)(37, 55, 39, 57, 45, 63, 54, 72, 53, 71, 42, 60)(38, 56, 44, 62, 51, 69, 49, 67, 43, 61, 46, 64)(40, 58, 50, 68, 47, 65, 48, 66, 41, 59, 52, 70)
	L = (1, 40)(2, 45)(3, 46)(4, 43)(5, 51)(6, 49)(7, 37)(8, 48)(9, 47)(10, 50)(11, 38)(12, 54)(13, 52)(14, 39)(15, 53)(16, 42)(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) :: { ( 6, 12, 6, 12, 6, 12 ), ( 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12 ) }
Outer automorphisms :: reflexible
Dual of E10.98
Graph:: bipartite
	v = 9 e = 36 f = 9
	degree seq :: [ 6^6, 12^3 ]

E10.104 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 3, 6, 6})
Quotient :: dipole
Aut^+ = C3 x S3 (small group id <18, 3>)
Aut   = S3 x S3 (small group id <36, 10>)
|r| :: 2
Presentation :: [ R^2, Y1^3, Y2 * Y1 * Y2, Y3^3, (Y3^-1, Y1), (R * Y1)^2, (R * Y3)^2, (Y2 * Y1^-1)^2, (Y3^-1 * Y2^-1)^2, Y3 * Y1 * Y2^-1 * Y3 * Y2^-1, (R * Y2 * Y3^-1)^2 ]
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, 17, 35, 18, 36)(12, 30, 13, 31, 15, 33)(37, 55, 39, 57, 41, 59, 45, 63, 38, 56, 42, 60)(40, 58, 49, 67, 50, 68, 48, 66, 44, 62, 51, 69)(43, 61, 54, 72, 52, 70, 53, 71, 46, 64, 47, 65)
	L = (1, 40)(2, 44)(3, 47)(4, 43)(5, 50)(6, 53)(7, 37)(8, 46)(9, 54)(10, 38)(11, 48)(12, 39)(13, 42)(14, 52)(15, 45)(16, 41)(17, 49)(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, 12, 6, 12, 6, 12 ), ( 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12 ) }
Outer automorphisms :: reflexible
Dual of E10.107
Graph:: bipartite
	v = 9 e = 36 f = 9
	degree seq :: [ 6^6, 12^3 ]

E10.105 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 3, 6, 6})
Quotient :: dipole
Aut^+ = C3 x S3 (small group id <18, 3>)
Aut   = S3 x S3 (small group id <36, 10>)
|r| :: 2
Presentation :: [ R^2, Y1^3, Y1^-1 * Y2^2, Y3^3, (R * Y3)^2, (R * Y1)^2, (Y1^-1, Y3), (Y1 * Y2)^2, (Y2 * Y3)^2, Y2^-1 * Y1^-1 * Y3 * Y2^-1 * Y3, (R * Y2 * Y3^-1)^2 ]
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, 18, 36, 17, 35)(12, 30, 15, 33, 13, 31)(37, 55, 39, 57, 38, 56, 44, 62, 41, 59, 42, 60)(40, 58, 49, 67, 45, 63, 48, 66, 50, 68, 51, 69)(43, 61, 54, 72, 46, 64, 53, 71, 52, 70, 47, 65)
	L = (1, 40)(2, 45)(3, 47)(4, 43)(5, 50)(6, 53)(7, 37)(8, 54)(9, 46)(10, 38)(11, 48)(12, 39)(13, 42)(14, 52)(15, 44)(16, 41)(17, 49)(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, 12, 6, 12, 6, 12 ), ( 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12 ) }
Outer automorphisms :: reflexible
Dual of E10.110
Graph:: bipartite
	v = 9 e = 36 f = 9
	degree seq :: [ 6^6, 12^3 ]

E10.106 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 3, 6, 6})
Quotient :: dipole
Aut^+ = C3 x S3 (small group id <18, 3>)
Aut   = S3 x S3 (small group id <36, 10>)
|r| :: 2
Presentation :: [ R^2, Y1^3, Y3^3, Y1 * Y2^-1 * Y3 * Y2^-1, Y2^-1 * Y1^-1 * Y2 * Y1^-1, Y2 * Y1 * Y3^-1 * Y2, (Y3^-1 * Y2^-1)^2, Y2 * Y3^-1 * Y2 * Y1^-1, Y3 * Y2^-2 * Y1^-1, (R * Y1)^2, (R * Y3)^2, R * Y2 * Y1 * R * Y2, (Y3^-1 * Y1^-1)^3, Y1^-1 * Y3 * Y2^4 ]
Map:: non-degenerate
	R = (1, 19, 2, 20, 5, 23)(3, 21, 12, 30, 8, 26)(4, 22, 9, 27, 13, 31)(6, 24, 16, 34, 10, 28)(7, 25, 11, 29, 17, 35)(14, 32, 15, 33, 18, 36)(37, 55, 39, 57, 49, 67, 54, 72, 47, 65, 42, 60)(38, 56, 44, 62, 40, 58, 51, 69, 53, 71, 46, 64)(41, 59, 48, 66, 45, 63, 50, 68, 43, 61, 52, 70)
	L = (1, 40)(2, 45)(3, 50)(4, 43)(5, 49)(6, 48)(7, 37)(8, 54)(9, 47)(10, 39)(11, 38)(12, 51)(13, 53)(14, 46)(15, 42)(16, 44)(17, 41)(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, 12, 6, 12, 6, 12 ), ( 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12 ) }
Outer automorphisms :: reflexible
Dual of E10.108
Graph:: bipartite
	v = 9 e = 36 f = 9
	degree seq :: [ 6^6, 12^3 ]

E10.107 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 3, 6, 6})
Quotient :: dipole
Aut^+ = C3 x S3 (small group id <18, 3>)
Aut   = S3 x S3 (small group id <36, 10>)
|r| :: 2
Presentation :: [ R^2, Y1^3, Y3^3, Y2^2 * Y1^-1 * Y3^-1, Y2 * Y1^-1 * Y2^-1 * Y1^-1, (R * Y3)^2, (Y3^-1 * Y2^-1)^2, (Y3^-1, Y1^-1), (R * Y1)^2, R * Y2 * Y1^-1 * R * Y2, Y2 * Y1^-1 * Y3 * Y2^-1 * Y3^-1, Y2^-1 * Y1^-1 * Y3 * Y1^-1 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 19, 2, 20, 5, 23)(3, 21, 12, 30, 8, 26)(4, 22, 9, 27, 16, 34)(6, 24, 14, 32, 10, 28)(7, 25, 11, 29, 17, 35)(13, 31, 18, 36, 15, 33)(37, 55, 39, 57, 45, 63, 54, 72, 53, 71, 42, 60)(38, 56, 44, 62, 52, 70, 49, 67, 43, 61, 46, 64)(40, 58, 51, 69, 47, 65, 50, 68, 41, 59, 48, 66)
	L = (1, 40)(2, 45)(3, 49)(4, 43)(5, 52)(6, 44)(7, 37)(8, 51)(9, 47)(10, 48)(11, 38)(12, 54)(13, 50)(14, 39)(15, 42)(16, 53)(17, 41)(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, 12, 6, 12, 6, 12 ), ( 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12 ) }
Outer automorphisms :: reflexible
Dual of E10.104
Graph:: bipartite
	v = 9 e = 36 f = 9
	degree seq :: [ 6^6, 12^3 ]

E10.108 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 3, 6, 6})
Quotient :: dipole
Aut^+ = C3 x S3 (small group id <18, 3>)
Aut   = S3 x S3 (small group id <36, 10>)
|r| :: 2
Presentation :: [ R^2, Y1^3, Y3^3, (Y3^-1, Y1), (Y2^-1 * Y3^-1)^2, (Y2^-1 * Y1)^2, Y2^-1 * Y1 * Y3^-1 * Y2^-1, (R * Y3)^2, Y1 * Y2 * Y3 * Y2^-1, Y3 * Y2^2 * Y1^-1, (R * Y1)^2, (R * Y2 * Y3^-1)^2, (Y2^-1 * Y1^-1)^6 ]
Map:: non-degenerate
	R = (1, 19, 2, 20, 5, 23)(3, 21, 12, 30, 10, 28)(4, 22, 9, 27, 14, 32)(6, 24, 13, 31, 15, 33)(7, 25, 11, 29, 17, 35)(8, 26, 18, 36, 16, 34)(37, 55, 39, 57, 47, 65, 54, 72, 50, 68, 42, 60)(38, 56, 44, 62, 53, 71, 51, 69, 40, 58, 46, 64)(41, 59, 49, 67, 43, 61, 48, 66, 45, 63, 52, 70)
	L = (1, 40)(2, 45)(3, 49)(4, 43)(5, 50)(6, 52)(7, 37)(8, 39)(9, 47)(10, 42)(11, 38)(12, 51)(13, 44)(14, 53)(15, 54)(16, 46)(17, 41)(18, 48)(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 ) }
Outer automorphisms :: reflexible
Dual of E10.106
Graph:: bipartite
	v = 9 e = 36 f = 9
	degree seq :: [ 6^6, 12^3 ]

E10.109 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 3, 6, 6})
Quotient :: dipole
Aut^+ = C3 x S3 (small group id <18, 3>)
Aut   = S3 x S3 (small group id <36, 10>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1, Y1^3, (R * Y3)^2, (R * Y1)^2, (Y2^-1 * Y1^-1)^2, Y2^-3 * Y1^-1 * Y2 * Y1^-1, (R * Y2 * Y3^-1)^2, Y2^6, (Y3^-1 * Y1^-1)^3, (Y3 * Y2^-1)^6 ]
Map:: non-degenerate
	R = (1, 19, 2, 20, 4, 22)(3, 21, 8, 26, 10, 28)(5, 23, 12, 30, 6, 24)(7, 25, 15, 33, 11, 29)(9, 27, 14, 32, 18, 36)(13, 31, 16, 34, 17, 35)(37, 55, 39, 57, 45, 63, 51, 69, 49, 67, 41, 59)(38, 56, 42, 60, 50, 68, 46, 64, 52, 70, 43, 61)(40, 58, 47, 65, 54, 72, 48, 66, 53, 71, 44, 62)
	L = (1, 38)(2, 40)(3, 44)(4, 37)(5, 48)(6, 41)(7, 51)(8, 46)(9, 50)(10, 39)(11, 43)(12, 42)(13, 52)(14, 54)(15, 47)(16, 53)(17, 49)(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) :: { ( 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 = 9 e = 36 f = 9
	degree seq :: [ 6^6, 12^3 ]

E10.110 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 3, 6, 6})
Quotient :: dipole
Aut^+ = C3 x S3 (small group id <18, 3>)
Aut   = S3 x S3 (small group id <36, 10>)
|r| :: 2
Presentation :: [ R^2, Y1^3, Y3^3, Y2^-2 * Y3^-1 * Y1^-1, (Y1^-1 * Y2^-1)^2, Y1^-1 * Y3^-1 * Y2^-2, (Y3^-1, Y1^-1), (R * Y1)^2, Y1 * Y2 * Y3^-1 * Y2^-1, (R * Y3)^2, Y1 * Y2^-1 * Y1^-1 * Y3 * Y2^-1, Y2^6, (R * Y2 * Y3^-1)^2, Y2^-1 * Y1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 19, 2, 20, 5, 23)(3, 21, 12, 30, 14, 32)(4, 22, 9, 27, 16, 34)(6, 24, 17, 35, 8, 26)(7, 25, 11, 29, 13, 31)(10, 28, 18, 36, 15, 33)(37, 55, 39, 57, 49, 67, 54, 72, 45, 63, 42, 60)(38, 56, 44, 62, 43, 61, 50, 68, 52, 70, 46, 64)(40, 58, 48, 66, 41, 59, 51, 69, 47, 65, 53, 71)
	L = (1, 40)(2, 45)(3, 44)(4, 43)(5, 52)(6, 46)(7, 37)(8, 51)(9, 47)(10, 48)(11, 38)(12, 42)(13, 41)(14, 53)(15, 39)(16, 49)(17, 54)(18, 50)(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 ) }
Outer automorphisms :: reflexible
Dual of E10.105
Graph:: bipartite
	v = 9 e = 36 f = 9
	degree seq :: [ 6^6, 12^3 ]

E10.111 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 3, 6, 6})
Quotient :: dipole
Aut^+ = C3 x S3 (small group id <18, 3>)
Aut   = S3 x S3 (small group id <36, 10>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2 * Y1^2 * Y2, Y3 * Y2^-3, Y3 * Y2 * Y1^-2, (R * Y1)^2, (R * Y2)^2, Y2 * Y3 * Y1^-2, (R * Y3)^2, Y3 * Y2 * Y3 * Y2^-1, Y3 * Y1 * Y2 * Y1 * Y3 * Y1^-1, (Y2^-1 * Y1)^3, Y2 * Y1 * Y2 * Y1^-1 * Y3 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 19, 2, 20, 7, 25, 15, 33, 12, 30, 5, 23)(3, 21, 11, 29, 6, 24, 14, 32, 4, 22, 13, 31)(8, 26, 16, 34, 10, 28, 18, 36, 9, 27, 17, 35)(37, 55, 39, 57, 48, 66, 40, 58, 43, 61, 42, 60)(38, 56, 44, 62, 41, 59, 45, 63, 51, 69, 46, 64)(47, 65, 53, 71, 49, 67, 54, 72, 50, 68, 52, 70)
	L = (1, 40)(2, 45)(3, 43)(4, 37)(5, 46)(6, 48)(7, 39)(8, 51)(9, 38)(10, 41)(11, 54)(12, 42)(13, 52)(14, 53)(15, 44)(16, 49)(17, 50)(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 ) }
Outer automorphisms :: reflexible
Dual of E10.90
Graph:: bipartite
	v = 6 e = 36 f = 12
	degree seq :: [ 12^6 ]

E10.112 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 3, 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, Y1^3, Y2^3, Y3 * Y2^-1 * Y3, (R * Y1)^2, (R * Y3)^2, (Y3^-1, Y1), (Y1, Y2^-1), (R * Y2)^2, Y2^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1 ]
Map:: non-degenerate
	R = (1, 19, 2, 20, 5, 23)(3, 21, 8, 26, 13, 31)(4, 22, 9, 27, 14, 32)(6, 24, 10, 28, 15, 33)(7, 25, 11, 29, 16, 34)(12, 30, 17, 35, 18, 36)(37, 55, 39, 57, 42, 60)(38, 56, 44, 62, 46, 64)(40, 58, 48, 66, 43, 61)(41, 59, 49, 67, 51, 69)(45, 63, 53, 71, 47, 65)(50, 68, 54, 72, 52, 70)
	L = (1, 40)(2, 45)(3, 48)(4, 39)(5, 50)(6, 43)(7, 37)(8, 53)(9, 44)(10, 47)(11, 38)(12, 42)(13, 54)(14, 49)(15, 52)(16, 41)(17, 46)(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) :: { ( 12^6 ) }
Outer automorphisms :: reflexible
Dual of E10.122
Graph:: simple bipartite
	v = 12 e = 36 f = 6
	degree seq :: [ 6^12 ]

E10.113 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 3, 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 :: [ Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, R^2, Y1^3, (R * Y3)^2, (R * Y1)^2, (Y2, Y1^-1), (R * Y2 * Y3^-1)^2, (Y3^-1 * Y1^-1)^3, Y2^6, (Y3 * Y2^-1)^6 ]
Map::
	R = (1, 19, 2, 20, 4, 22)(3, 21, 6, 24, 9, 27)(5, 23, 7, 25, 10, 28)(8, 26, 12, 30, 15, 33)(11, 29, 13, 31, 16, 34)(14, 32, 17, 35, 18, 36)(37, 55, 39, 57, 44, 62, 50, 68, 47, 65, 41, 59)(38, 56, 42, 60, 48, 66, 53, 71, 49, 67, 43, 61)(40, 58, 45, 63, 51, 69, 54, 72, 52, 70, 46, 64)
	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) :: { ( 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 = 9 e = 36 f = 9
	degree seq :: [ 6^6, 12^3 ]

E10.114 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 3, 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, Y1^3, Y2^2 * Y3^-1, Y3^3, (R * Y3)^2, (R * Y1)^2, (Y1, Y2^-1), (R * Y2)^2, (Y3^-1, Y1^-1) ]
Map:: non-degenerate
	R = (1, 19, 2, 20, 5, 23)(3, 21, 8, 26, 13, 31)(4, 22, 9, 27, 14, 32)(6, 24, 10, 28, 15, 33)(7, 25, 11, 29, 16, 34)(12, 30, 17, 35, 18, 36)(37, 55, 39, 57, 40, 58, 48, 66, 43, 61, 42, 60)(38, 56, 44, 62, 45, 63, 53, 71, 47, 65, 46, 64)(41, 59, 49, 67, 50, 68, 54, 72, 52, 70, 51, 69)
	L = (1, 40)(2, 45)(3, 48)(4, 43)(5, 50)(6, 39)(7, 37)(8, 53)(9, 47)(10, 44)(11, 38)(12, 42)(13, 54)(14, 52)(15, 49)(16, 41)(17, 46)(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, 12, 6, 12, 6, 12 ), ( 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 9 e = 36 f = 9
	degree seq :: [ 6^6, 12^3 ]

E10.115 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 3, 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, Y1^3, Y2 * Y1 * Y2, Y3^3, (Y3^-1, Y1), (Y3, Y2^-1), (R * Y1)^2, (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, 43)(5, 49)(6, 50)(7, 37)(8, 46)(9, 53)(10, 38)(11, 48)(12, 39)(13, 51)(14, 52)(15, 41)(16, 42)(17, 54)(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) :: { ( 6, 12, 6, 12, 6, 12 ), ( 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12 ) }
Outer automorphisms :: reflexible
Dual of E10.118
Graph:: bipartite
	v = 9 e = 36 f = 9
	degree seq :: [ 6^6, 12^3 ]

E10.116 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 3, 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, Y1^3, Y3^3, Y2 * Y1^-1 * Y2, (R * Y1)^2, (Y2^-1, Y3^-1), (R * Y3)^2, (R * Y2)^2, (Y3, Y1) ]
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, 43)(5, 49)(6, 50)(7, 37)(8, 53)(9, 46)(10, 38)(11, 48)(12, 39)(13, 51)(14, 52)(15, 41)(16, 42)(17, 54)(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 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 9 e = 36 f = 9
	degree seq :: [ 6^6, 12^3 ]

E10.117 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 3, 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, Y3 * Y1^-1, Y1^3, (Y3^-1, Y2^-1), (Y2^-1 * R)^2, (R * Y3)^2, (R * Y1)^2, (Y2^-1, Y1^-1), Y3^6, Y2^6, (Y3^-1 * Y1^-1)^3 ]
Map:: non-degenerate
	R = (1, 19, 2, 20, 4, 22)(3, 21, 6, 24, 9, 27)(5, 23, 7, 25, 10, 28)(8, 26, 12, 30, 15, 33)(11, 29, 13, 31, 16, 34)(14, 32, 17, 35, 18, 36)(37, 55, 39, 57, 44, 62, 50, 68, 47, 65, 41, 59)(38, 56, 42, 60, 48, 66, 53, 71, 49, 67, 43, 61)(40, 58, 45, 63, 51, 69, 54, 72, 52, 70, 46, 64)
	L = (1, 38)(2, 40)(3, 42)(4, 37)(5, 43)(6, 45)(7, 46)(8, 48)(9, 39)(10, 41)(11, 49)(12, 51)(13, 52)(14, 53)(15, 44)(16, 47)(17, 54)(18, 50)(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 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 9 e = 36 f = 9
	degree seq :: [ 6^6, 12^3 ]

E10.118 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 3, 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, Y1^3, Y3^3, (Y2, Y1^-1), (Y3^-1, Y1^-1), Y3 * Y1^-1 * Y2^-2, Y3 * Y2^-2 * Y1^-1, (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, Y1 * Y2 * Y3^-1 * Y2, Y3 * Y1 * Y2 * Y3 * Y2, Y3 * Y1^-1 * Y2^4 ]
Map:: non-degenerate
	R = (1, 19, 2, 20, 5, 23)(3, 21, 8, 26, 14, 32)(4, 22, 9, 27, 12, 30)(6, 24, 10, 28, 15, 33)(7, 25, 11, 29, 16, 34)(13, 31, 17, 35, 18, 36)(37, 55, 39, 57, 48, 66, 54, 72, 47, 65, 42, 60)(38, 56, 44, 62, 40, 58, 49, 67, 52, 70, 46, 64)(41, 59, 50, 68, 45, 63, 53, 71, 43, 61, 51, 69)
	L = (1, 40)(2, 45)(3, 49)(4, 43)(5, 48)(6, 44)(7, 37)(8, 53)(9, 47)(10, 50)(11, 38)(12, 52)(13, 51)(14, 54)(15, 39)(16, 41)(17, 42)(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, 12, 6, 12, 6, 12 ), ( 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12 ) }
Outer automorphisms :: reflexible
Dual of E10.115
Graph:: bipartite
	v = 9 e = 36 f = 9
	degree seq :: [ 6^6, 12^3 ]

E10.119 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 3, 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, Y3^3, Y1^3, Y2^2 * Y1^-1 * Y3^-1, Y2^2 * Y3^-1 * Y1^-1, (R * Y3)^2, (Y2, Y1^-1), (Y3^-1, Y1^-1), Y1 * Y2^-1 * Y3 * Y2^-1, (R * Y2)^2, (R * Y1)^2, Y3 * Y1 * Y2^4 ]
Map:: non-degenerate
	R = (1, 19, 2, 20, 5, 23)(3, 21, 8, 26, 13, 31)(4, 22, 9, 27, 14, 32)(6, 24, 10, 28, 15, 33)(7, 25, 11, 29, 16, 34)(12, 30, 18, 36, 17, 35)(37, 55, 39, 57, 45, 63, 54, 72, 52, 70, 42, 60)(38, 56, 44, 62, 50, 68, 53, 71, 43, 61, 46, 64)(40, 58, 48, 66, 47, 65, 51, 69, 41, 59, 49, 67)
	L = (1, 40)(2, 45)(3, 48)(4, 43)(5, 50)(6, 49)(7, 37)(8, 54)(9, 47)(10, 39)(11, 38)(12, 46)(13, 53)(14, 52)(15, 44)(16, 41)(17, 42)(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, 12, 6, 12, 6, 12 ), ( 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12 ) }
Outer automorphisms :: reflexible
Dual of E10.121
Graph:: bipartite
	v = 9 e = 36 f = 9
	degree seq :: [ 6^6, 12^3 ]

E10.120 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 3, 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, Y1^3, Y3^3, (Y3^-1, Y1^-1), (Y2, Y3^-1), (Y2^-1 * R)^2, (R * Y3)^2, Y1 * Y3 * Y2^2, Y3 * Y1 * Y2^2, Y1^-1 * Y2^-1 * Y3^-1 * Y2^-1, (R * Y1)^2, Y2^2 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 19, 2, 20, 5, 23)(3, 21, 8, 26, 14, 32)(4, 22, 9, 27, 16, 34)(6, 24, 10, 28, 13, 31)(7, 25, 11, 29, 12, 30)(15, 33, 17, 35, 18, 36)(37, 55, 39, 57, 48, 66, 54, 72, 45, 63, 42, 60)(38, 56, 44, 62, 43, 61, 51, 69, 52, 70, 46, 64)(40, 58, 49, 67, 41, 59, 50, 68, 47, 65, 53, 71)
	L = (1, 40)(2, 45)(3, 49)(4, 43)(5, 52)(6, 53)(7, 37)(8, 42)(9, 47)(10, 54)(11, 38)(12, 41)(13, 51)(14, 46)(15, 39)(16, 48)(17, 44)(18, 50)(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 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 9 e = 36 f = 9
	degree seq :: [ 6^6, 12^3 ]

E10.121 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 3, 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, Y1^3, Y3^3, (Y2, Y1^-1), (R * Y1)^2, Y2^-2 * Y1 * Y3^-1, Y2 * Y3 * Y2 * Y1^-1, (R * Y3)^2, (Y2^-1 * R)^2, (Y3^-1, Y1^-1), Y1 * Y3^-1 * Y2^4, (Y3 * Y2^-1)^6 ]
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, 47, 65, 54, 72, 50, 68, 42, 60)(38, 56, 44, 62, 53, 71, 51, 69, 40, 58, 46, 64)(41, 59, 48, 66, 43, 61, 49, 67, 45, 63, 52, 70)
	L = (1, 40)(2, 45)(3, 46)(4, 43)(5, 50)(6, 51)(7, 37)(8, 52)(9, 47)(10, 49)(11, 38)(12, 42)(13, 39)(14, 53)(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) :: { ( 6, 12, 6, 12, 6, 12 ), ( 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12 ) }
Outer automorphisms :: reflexible
Dual of E10.119
Graph:: bipartite
	v = 9 e = 36 f = 9
	degree seq :: [ 6^6, 12^3 ]

E10.122 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 3, 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, Y3 * Y2, (R * Y1)^2, R * Y2 * R * Y3^-1, (Y2^-1, Y1^-1), (Y3^-1, Y1^-1), Y3^-3 * Y1^3, (Y3 * Y2^-1)^3, Y1^6, Y2^6 ]
Map:: non-degenerate
	R = (1, 19, 2, 20, 6, 24, 14, 32, 13, 31, 5, 23)(3, 21, 7, 25, 15, 33, 11, 29, 18, 36, 10, 28)(4, 22, 8, 26, 16, 34, 9, 27, 17, 35, 12, 30)(37, 55, 39, 57, 45, 63, 50, 68, 47, 65, 40, 58)(38, 56, 43, 61, 53, 71, 49, 67, 54, 72, 44, 62)(41, 59, 46, 64, 52, 70, 42, 60, 51, 69, 48, 66)
	L = (1, 40)(2, 44)(3, 37)(4, 47)(5, 48)(6, 52)(7, 38)(8, 54)(9, 39)(10, 41)(11, 50)(12, 51)(13, 53)(14, 45)(15, 42)(16, 46)(17, 43)(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) :: { ( 6^12 ) }
Outer automorphisms :: reflexible
Dual of E10.112
Graph:: bipartite
	v = 6 e = 36 f = 12
	degree seq :: [ 12^6 ]

E10.123 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 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 * Y1^-1, Y3^2 * Y1^-2, R * Y2 * R * Y1, (R * Y3)^2, Y1^2 * Y3^4, Y3 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1^-1, Y2^6, (Y1^-1 * Y3^-1 * Y2^-1)^2 ]
Map:: non-degenerate
	R = (1, 19, 3, 21, 6, 24, 15, 33, 11, 29, 5, 23)(2, 20, 7, 25, 14, 32, 12, 30, 4, 22, 8, 26)(9, 27, 16, 34, 13, 31, 18, 36, 10, 28, 17, 35)(37, 38, 42, 50, 47, 40)(39, 45, 51, 49, 41, 46)(43, 52, 48, 54, 44, 53)(55, 56, 60, 68, 65, 58)(57, 63, 69, 67, 59, 64)(61, 70, 66, 72, 62, 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) :: { ( 8^6 ), ( 8^12 ) }
Outer automorphisms :: reflexible
Dual of E10.126
Graph:: bipartite
	v = 9 e = 36 f = 9
	degree seq :: [ 6^6, 12^3 ]

E10.124 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 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, Y3^2, Y2^-1 * Y1, R * Y2 * R * Y1, (R * Y3)^2, Y2^6, (Y3 * Y1^-1)^3, Y3 * Y1^2 * Y3 * Y1^-2, Y1^6, (Y1^-1 * Y3 * Y2^-1)^6 ]
Map:: non-degenerate
	R = (1, 19, 3, 21)(2, 20, 6, 24)(4, 22, 9, 27)(5, 23, 12, 30)(7, 25, 15, 33)(8, 26, 13, 31)(10, 28, 16, 34)(11, 29, 17, 35)(14, 32, 18, 36)(37, 38, 41, 47, 46, 40)(39, 43, 48, 54, 52, 44)(42, 49, 53, 51, 45, 50)(55, 56, 59, 65, 64, 58)(57, 61, 66, 72, 70, 62)(60, 67, 71, 69, 63, 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) :: { ( 24^4 ), ( 24^6 ) }
Outer automorphisms :: reflexible
Dual of E10.125
Graph:: simple bipartite
	v = 15 e = 36 f = 3
	degree seq :: [ 4^9, 6^6 ]

E10.125 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 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 * Y1^-1, Y3^2 * Y1^-2, R * Y2 * R * Y1, (R * Y3)^2, Y1^2 * Y3^4, Y3 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1^-1, Y2^6, (Y1^-1 * Y3^-1 * Y2^-1)^2 ]
Map:: non-degenerate
	R = (1, 19, 37, 55, 3, 21, 39, 57, 6, 24, 42, 60, 15, 33, 51, 69, 11, 29, 47, 65, 5, 23, 41, 59)(2, 20, 38, 56, 7, 25, 43, 61, 14, 32, 50, 68, 12, 30, 48, 66, 4, 22, 40, 58, 8, 26, 44, 62)(9, 27, 45, 63, 16, 34, 52, 70, 13, 31, 49, 67, 18, 36, 54, 72, 10, 28, 46, 64, 17, 35, 53, 71)
	L = (1, 20)(2, 24)(3, 27)(4, 19)(5, 28)(6, 32)(7, 34)(8, 35)(9, 33)(10, 21)(11, 22)(12, 36)(13, 23)(14, 29)(15, 31)(16, 30)(17, 25)(18, 26)(37, 56)(38, 60)(39, 63)(40, 55)(41, 64)(42, 68)(43, 70)(44, 71)(45, 69)(46, 57)(47, 58)(48, 72)(49, 59)(50, 65)(51, 67)(52, 66)(53, 61)(54, 62)
	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 E10.124
Transitivity :: VT+
Graph::
	v = 3 e = 36 f = 15
	degree seq :: [ 24^3 ]

E10.126 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 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, Y3^2, Y2^-1 * Y1, R * Y2 * R * Y1, (R * Y3)^2, Y2^6, (Y3 * Y1^-1)^3, Y3 * Y1^2 * Y3 * Y1^-2, Y1^6, (Y1^-1 * Y3 * Y2^-1)^6 ]
Map:: non-degenerate
	R = (1, 19, 37, 55, 3, 21, 39, 57)(2, 20, 38, 56, 6, 24, 42, 60)(4, 22, 40, 58, 9, 27, 45, 63)(5, 23, 41, 59, 12, 30, 48, 66)(7, 25, 43, 61, 15, 33, 51, 69)(8, 26, 44, 62, 13, 31, 49, 67)(10, 28, 46, 64, 16, 34, 52, 70)(11, 29, 47, 65, 17, 35, 53, 71)(14, 32, 50, 68, 18, 36, 54, 72)
	L = (1, 20)(2, 23)(3, 25)(4, 19)(5, 29)(6, 31)(7, 30)(8, 21)(9, 32)(10, 22)(11, 28)(12, 36)(13, 35)(14, 24)(15, 27)(16, 26)(17, 33)(18, 34)(37, 56)(38, 59)(39, 61)(40, 55)(41, 65)(42, 67)(43, 66)(44, 57)(45, 68)(46, 58)(47, 64)(48, 72)(49, 71)(50, 60)(51, 63)(52, 62)(53, 69)(54, 70)
	local type(s) :: { ( 6, 12, 6, 12, 6, 12, 6, 12 ) }
Outer automorphisms :: reflexible
Dual of E10.123
Transitivity :: VT+
Graph::
	v = 9 e = 36 f = 9
	degree seq :: [ 8^9 ]

E10.127 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 6, 6})
Quotient :: dipole
Aut^+ = C3 x S3 (small group id <18, 3>)
Aut   = S3 x S3 (small group id <36, 10>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2 * Y3^-1 * Y2, Y3^3, Y1 * Y3 * Y1 * Y3^-1, (Y2^-1 * Y3^-1)^2, (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, (Y2 * Y1)^3 ]
Map:: non-degenerate
	R = (1, 19, 2, 20)(3, 21, 11, 29)(4, 22, 8, 26)(5, 23, 13, 31)(6, 24, 10, 28)(7, 25, 14, 32)(9, 27, 16, 34)(12, 30, 17, 35)(15, 33, 18, 36)(37, 55, 39, 57, 40, 58, 48, 66, 42, 60, 41, 59)(38, 56, 43, 61, 44, 62, 51, 69, 46, 64, 45, 63)(47, 65, 52, 70, 53, 71, 50, 68, 49, 67, 54, 72)
	L = (1, 40)(2, 44)(3, 48)(4, 42)(5, 39)(6, 37)(7, 51)(8, 46)(9, 43)(10, 38)(11, 53)(12, 41)(13, 47)(14, 54)(15, 45)(16, 50)(17, 49)(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) :: { ( 12^4 ), ( 12^12 ) }
Outer automorphisms :: reflexible
Dual of E10.128
Graph:: bipartite
	v = 12 e = 36 f = 6
	degree seq :: [ 4^9, 12^3 ]

E10.128 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 6, 6})
Quotient :: dipole
Aut^+ = C3 x S3 (small group id <18, 3>)
Aut   = S3 x S3 (small group id <36, 10>)
|r| :: 2
Presentation :: [ R^2, Y3^3, Y1^2 * Y3^-1, Y2^2 * Y3^-1, (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, (Y2 * Y3)^2, (Y3^-1 * Y1^-1)^2, Y2 * Y1 * Y2 * Y1^-1 * Y2^-1 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 19, 2, 20, 4, 22, 9, 27, 7, 25, 5, 23)(3, 21, 11, 29, 12, 30, 15, 33, 6, 24, 13, 31)(8, 26, 16, 34, 14, 32, 18, 36, 10, 28, 17, 35)(37, 55, 39, 57, 40, 58, 48, 66, 43, 61, 42, 60)(38, 56, 44, 62, 45, 63, 50, 68, 41, 59, 46, 64)(47, 65, 52, 70, 51, 69, 54, 72, 49, 67, 53, 71)
	L = (1, 40)(2, 45)(3, 48)(4, 43)(5, 38)(6, 39)(7, 37)(8, 50)(9, 41)(10, 44)(11, 51)(12, 42)(13, 47)(14, 46)(15, 49)(16, 54)(17, 52)(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) :: { ( 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E10.127
Graph:: bipartite
	v = 6 e = 36 f = 12
	degree seq :: [ 12^6 ]

E10.129 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 9, 18})
Quotient :: dipole
Aut^+ = C18 (small group id <18, 2>)
Aut   = D36 (small group id <36, 4>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^3, Y3^3 * Y2^-1, (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, (Y3, Y2), Y2 * Y1 * Y2^-1 * Y1, Y3 * Y1 * Y3^-1 * Y1, Y2^-1 * Y3^-1 * Y2^-1 * Y3^-2 ]
Map:: non-degenerate
	R = (1, 19, 2, 20)(3, 21, 7, 25)(4, 22, 8, 26)(5, 23, 9, 27)(6, 24, 10, 28)(11, 29, 15, 33)(12, 30, 16, 34)(13, 31, 17, 35)(14, 32, 18, 36)(37, 55, 39, 57, 41, 59)(38, 56, 43, 61, 45, 63)(40, 58, 47, 65, 49, 67)(42, 60, 48, 66, 50, 68)(44, 62, 51, 69, 53, 71)(46, 64, 52, 70, 54, 72)
	L = (1, 40)(2, 44)(3, 47)(4, 48)(5, 49)(6, 37)(7, 51)(8, 52)(9, 53)(10, 38)(11, 50)(12, 39)(13, 42)(14, 41)(15, 54)(16, 43)(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 ) }
Outer automorphisms :: reflexible
Dual of E10.135
Graph:: simple bipartite
	v = 15 e = 36 f = 3
	degree seq :: [ 4^9, 6^6 ]

E10.130 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 9, 18})
Quotient :: dipole
Aut^+ = C18 (small group id <18, 2>)
Aut   = D36 (small group id <36, 4>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^3, (Y3^-1, Y2^-1), Y3^-3 * Y2^-1, (R * Y3)^2, (R * Y1)^2, (Y2^-1 * R)^2, Y2^-1 * Y1 * Y2 * Y1, Y3 * Y1 * Y3^-1 * Y1 ]
Map:: non-degenerate
	R = (1, 19, 2, 20)(3, 21, 7, 25)(4, 22, 8, 26)(5, 23, 9, 27)(6, 24, 10, 28)(11, 29, 15, 33)(12, 30, 16, 34)(13, 31, 17, 35)(14, 32, 18, 36)(37, 55, 39, 57, 41, 59)(38, 56, 43, 61, 45, 63)(40, 58, 47, 65, 50, 68)(42, 60, 48, 66, 49, 67)(44, 62, 51, 69, 54, 72)(46, 64, 52, 70, 53, 71)
	L = (1, 40)(2, 44)(3, 47)(4, 49)(5, 50)(6, 37)(7, 51)(8, 53)(9, 54)(10, 38)(11, 42)(12, 39)(13, 41)(14, 48)(15, 46)(16, 43)(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 ) }
Outer automorphisms :: reflexible
Dual of E10.136
Graph:: simple bipartite
	v = 15 e = 36 f = 3
	degree seq :: [ 4^9, 6^6 ]

E10.131 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 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 * Y3^-2, Y1 * Y2^3, (Y2, Y3), (Y1^-1, Y2^-1), (R * Y3)^2, (R * Y2)^2, (R * Y1)^2, (Y3^-1 * Y1^-1)^2, Y3 * Y2 * Y3 * Y2^2, (Y2^-1 * Y3)^18 ]
Map:: non-degenerate
	R = (1, 19, 2, 20, 5, 23)(3, 21, 8, 26, 13, 31)(4, 22, 9, 27, 7, 25)(6, 24, 10, 28, 11, 29)(12, 30, 17, 35, 14, 32)(15, 33, 18, 36, 16, 34)(37, 55, 39, 57, 47, 65, 41, 59, 49, 67, 46, 64, 38, 56, 44, 62, 42, 60)(40, 58, 48, 66, 52, 70, 43, 61, 50, 68, 54, 72, 45, 63, 53, 71, 51, 69)
	L = (1, 40)(2, 45)(3, 48)(4, 38)(5, 43)(6, 51)(7, 37)(8, 53)(9, 41)(10, 54)(11, 52)(12, 44)(13, 50)(14, 39)(15, 46)(16, 42)(17, 49)(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) :: { ( 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 E10.133
Graph:: bipartite
	v = 8 e = 36 f = 10
	degree seq :: [ 6^6, 18^2 ]

E10.132 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 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 * Y1^-1, Y2^3 * Y1^-1, (Y2, Y3), (R * Y1)^2, (Y2, Y1^-1), (R * Y3)^2, (Y3^-1 * Y1^-1)^2, (R * Y2)^2 ]
Map:: non-degenerate
	R = (1, 19, 2, 20, 5, 23)(3, 21, 8, 26, 12, 30)(4, 22, 9, 27, 7, 25)(6, 24, 10, 28, 15, 33)(11, 29, 17, 35, 13, 31)(14, 32, 18, 36, 16, 34)(37, 55, 39, 57, 46, 64, 38, 56, 44, 62, 51, 69, 41, 59, 48, 66, 42, 60)(40, 58, 47, 65, 54, 72, 45, 63, 53, 71, 52, 70, 43, 61, 49, 67, 50, 68)
	L = (1, 40)(2, 45)(3, 47)(4, 38)(5, 43)(6, 50)(7, 37)(8, 53)(9, 41)(10, 54)(11, 44)(12, 49)(13, 39)(14, 46)(15, 52)(16, 42)(17, 48)(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) :: { ( 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 E10.134
Graph:: bipartite
	v = 8 e = 36 f = 10
	degree seq :: [ 6^6, 18^2 ]

E10.133 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 9, 18})
Quotient :: dipole
Aut^+ = C18 (small group id <18, 2>)
Aut   = D36 (small group id <36, 4>)
|r| :: 2
Presentation :: [ Y2^2, R^2, Y3^3 * Y2, Y1^-1 * Y3 * Y1^-2, (R * Y1)^2, (R * Y3)^2, (Y1, Y3^-1), (R * Y2)^2, Y3 * Y2 * Y3^-1 * Y2, Y2 * Y1 * Y2 * Y1^-1, Y3^-1 * Y2 * Y1^-1 * Y3^-1 * Y1^-2 ]
Map:: non-degenerate
	R = (1, 19, 2, 20, 7, 25, 4, 22, 9, 27, 16, 34, 13, 31, 18, 36, 12, 30, 3, 21, 8, 26, 15, 33, 11, 29, 17, 35, 14, 32, 6, 24, 10, 28, 5, 23)(37, 55, 39, 57)(38, 56, 44, 62)(40, 58, 47, 65)(41, 59, 48, 66)(42, 60, 49, 67)(43, 61, 51, 69)(45, 63, 53, 71)(46, 64, 54, 72)(50, 68, 52, 70)
	L = (1, 40)(2, 45)(3, 47)(4, 49)(5, 43)(6, 37)(7, 52)(8, 53)(9, 54)(10, 38)(11, 42)(12, 51)(13, 39)(14, 41)(15, 50)(16, 48)(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) :: { ( 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 E10.131
Graph:: bipartite
	v = 10 e = 36 f = 8
	degree seq :: [ 4^9, 36 ]

E10.134 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 9, 18})
Quotient :: dipole
Aut^+ = C18 (small group id <18, 2>)
Aut   = D36 (small group id <36, 4>)
|r| :: 2
Presentation :: [ Y2^2, R^2, Y3^3 * Y2, Y1^-1 * Y3^-1 * Y1^-2, (R * Y1)^2, (R * Y3)^2, (Y1, Y3^-1), (R * Y2)^2, Y3 * Y2 * Y3^-1 * Y2, Y2 * Y1 * Y2 * Y1^-1, Y3 * Y2 * Y1^-1 * Y3 * Y1^-2 ]
Map:: non-degenerate
	R = (1, 19, 2, 20, 7, 25, 6, 24, 10, 28, 16, 34, 11, 29, 17, 35, 12, 30, 3, 21, 8, 26, 15, 33, 13, 31, 18, 36, 14, 32, 4, 22, 9, 27, 5, 23)(37, 55, 39, 57)(38, 56, 44, 62)(40, 58, 47, 65)(41, 59, 48, 66)(42, 60, 49, 67)(43, 61, 51, 69)(45, 63, 53, 71)(46, 64, 54, 72)(50, 68, 52, 70)
	L = (1, 40)(2, 45)(3, 47)(4, 49)(5, 50)(6, 37)(7, 41)(8, 53)(9, 54)(10, 38)(11, 42)(12, 52)(13, 39)(14, 51)(15, 48)(16, 43)(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) :: { ( 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 E10.132
Graph:: bipartite
	v = 10 e = 36 f = 8
	degree seq :: [ 4^9, 36 ]

E10.135 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 9, 18})
Quotient :: dipole
Aut^+ = C18 (small group id <18, 2>)
Aut   = D36 (small group id <36, 4>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y2^-2, Y1 * Y3^-2, (R * Y3)^2, (R * Y1)^2, (Y3 * Y2^-1)^2, Y1^3 * Y3 * Y1, (R * Y2 * Y3^-1)^2 ]
Map:: non-degenerate
	R = (1, 19, 2, 20, 8, 26, 15, 33, 7, 25, 4, 22, 10, 28, 13, 31, 5, 23)(3, 21, 9, 27, 17, 35, 16, 34, 12, 30, 11, 29, 18, 36, 14, 32, 6, 24)(37, 55, 39, 57, 38, 56, 45, 63, 44, 62, 53, 71, 51, 69, 52, 70, 43, 61, 48, 66, 40, 58, 47, 65, 46, 64, 54, 72, 49, 67, 50, 68, 41, 59, 42, 60)
	L = (1, 40)(2, 46)(3, 47)(4, 38)(5, 43)(6, 48)(7, 37)(8, 49)(9, 54)(10, 44)(11, 45)(12, 39)(13, 51)(14, 52)(15, 41)(16, 42)(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) :: { ( 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6 ), ( 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 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 E10.129
Graph:: bipartite
	v = 3 e = 36 f = 15
	degree seq :: [ 18^2, 36 ]

E10.136 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 9, 18})
Quotient :: dipole
Aut^+ = C18 (small group id <18, 2>)
Aut   = D36 (small group id <36, 4>)
|r| :: 2
Presentation :: [ R^2, Y1^2 * Y3^-1, Y2^-1 * Y3^2 * Y2^-1, (Y3, Y2^-1), (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, (Y1^-1, Y2^-1), Y1 * Y2^2 * Y3^2 ]
Map:: non-degenerate
	R = (1, 19, 2, 20, 4, 22, 9, 27, 11, 29, 17, 35, 16, 34, 7, 25, 5, 23)(3, 21, 8, 26, 12, 30, 18, 36, 15, 33, 6, 24, 10, 28, 14, 32, 13, 31)(37, 55, 39, 57, 47, 65, 51, 69, 41, 59, 49, 67, 45, 63, 54, 72, 43, 61, 50, 68, 40, 58, 48, 66, 52, 70, 46, 64, 38, 56, 44, 62, 53, 71, 42, 60)
	L = (1, 40)(2, 45)(3, 48)(4, 47)(5, 38)(6, 50)(7, 37)(8, 54)(9, 53)(10, 49)(11, 52)(12, 51)(13, 44)(14, 39)(15, 46)(16, 41)(17, 43)(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, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6 ), ( 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 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 E10.130
Graph:: bipartite
	v = 3 e = 36 f = 15
	degree seq :: [ 18^2, 36 ]

E10.137 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 9, 18})
Quotient :: dipole
Aut^+ = C18 (small group id <18, 2>)
Aut   = D36 (small group id <36, 4>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^2 * Y3, (R * Y1)^2, (R * Y2)^2, (R * Y3)^2, Y3 * Y1 * Y3^-1 * Y1, Y2^-1 * Y1 * Y2 * Y1, Y2 * Y3^-4 ]
Map:: non-degenerate
	R = (1, 19, 2, 20)(3, 21, 7, 25)(4, 22, 8, 26)(5, 23, 9, 27)(6, 24, 10, 28)(11, 29, 15, 33)(12, 30, 16, 34)(13, 31, 17, 35)(14, 32, 18, 36)(37, 55, 39, 57, 42, 60, 47, 65, 50, 68, 48, 66, 49, 67, 40, 58, 41, 59)(38, 56, 43, 61, 46, 64, 51, 69, 54, 72, 52, 70, 53, 71, 44, 62, 45, 63)
	L = (1, 40)(2, 44)(3, 41)(4, 48)(5, 49)(6, 37)(7, 45)(8, 52)(9, 53)(10, 38)(11, 39)(12, 47)(13, 50)(14, 42)(15, 43)(16, 51)(17, 54)(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 ) }
Outer automorphisms :: reflexible
Dual of E10.140
Graph:: bipartite
	v = 11 e = 36 f = 7
	degree seq :: [ 4^9, 18^2 ]

E10.138 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 9, 18})
Quotient :: dipole
Aut^+ = C18 (small group id <18, 2>)
Aut   = D36 (small group id <36, 4>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2 * Y3^2, (R * Y1)^2, (R * Y3)^2, (R * Y2)^2, Y3 * Y1 * Y3^-1 * Y1, Y2^-1 * Y1 * Y2 * Y1, Y2^4 * Y3^-1 ]
Map:: non-degenerate
	R = (1, 19, 2, 20)(3, 21, 7, 25)(4, 22, 8, 26)(5, 23, 9, 27)(6, 24, 10, 28)(11, 29, 15, 33)(12, 30, 16, 34)(13, 31, 17, 35)(14, 32, 18, 36)(37, 55, 39, 57, 47, 65, 49, 67, 40, 58, 42, 60, 48, 66, 50, 68, 41, 59)(38, 56, 43, 61, 51, 69, 53, 71, 44, 62, 46, 64, 52, 70, 54, 72, 45, 63)
	L = (1, 40)(2, 44)(3, 42)(4, 41)(5, 49)(6, 37)(7, 46)(8, 45)(9, 53)(10, 38)(11, 48)(12, 39)(13, 50)(14, 47)(15, 52)(16, 43)(17, 54)(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, 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 E10.139
Graph:: bipartite
	v = 11 e = 36 f = 7
	degree seq :: [ 4^9, 18^2 ]

E10.139 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 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 * Y3^-2, Y2^-1 * Y3 * Y2^-2, Y3 * Y2^-3, (R * Y2)^2, (R * Y3)^2, (Y1^-1, Y2^-1), (R * Y1)^2, (Y3^-1, Y2^-1), (Y3^-1 * Y1^-1)^2 ]
Map:: non-degenerate
	R = (1, 19, 2, 20, 5, 23)(3, 21, 8, 26, 13, 31)(4, 22, 9, 27, 7, 25)(6, 24, 10, 28, 15, 33)(11, 29, 17, 35, 16, 34)(12, 30, 18, 36, 14, 32)(37, 55, 39, 57, 47, 65, 40, 58, 48, 66, 46, 64, 38, 56, 44, 62, 53, 71, 45, 63, 54, 72, 51, 69, 41, 59, 49, 67, 52, 70, 43, 61, 50, 68, 42, 60)
	L = (1, 40)(2, 45)(3, 48)(4, 38)(5, 43)(6, 47)(7, 37)(8, 54)(9, 41)(10, 53)(11, 46)(12, 44)(13, 50)(14, 39)(15, 52)(16, 42)(17, 51)(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) :: { ( 4, 18, 4, 18, 4, 18 ), ( 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 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 E10.138
Graph:: bipartite
	v = 7 e = 36 f = 11
	degree seq :: [ 6^6, 36 ]

E10.140 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 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 * Y3^-2, (Y2, Y1^-1), (Y3, Y2^-1), Y2^3 * Y3, (Y2^-1 * R)^2, (R * Y3)^2, (R * Y1)^2, (Y3^-1 * Y1^-1)^2 ]
Map:: non-degenerate
	R = (1, 19, 2, 20, 5, 23)(3, 21, 8, 26, 13, 31)(4, 22, 9, 27, 7, 25)(6, 24, 10, 28, 16, 34)(11, 29, 15, 33, 18, 36)(12, 30, 17, 35, 14, 32)(37, 55, 39, 57, 47, 65, 43, 61, 50, 68, 52, 70, 41, 59, 49, 67, 54, 72, 45, 63, 53, 71, 46, 64, 38, 56, 44, 62, 51, 69, 40, 58, 48, 66, 42, 60)
	L = (1, 40)(2, 45)(3, 48)(4, 38)(5, 43)(6, 51)(7, 37)(8, 53)(9, 41)(10, 54)(11, 42)(12, 44)(13, 50)(14, 39)(15, 46)(16, 47)(17, 49)(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) :: { ( 4, 18, 4, 18, 4, 18 ), ( 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 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 E10.137
Graph:: bipartite
	v = 7 e = 36 f = 11
	degree seq :: [ 6^6, 36 ]

E10.141 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 4, 10})
Quotient :: dipole
Aut^+ = C5 : C4 (small group id <20, 1>)
Aut   = (C10 x C2) : C2 (small group id <40, 8>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2 * Y1 * Y2, (R * Y1)^2, Y2 * Y3^-1 * Y2^-1 * Y3^-1, (R * Y3)^2, Y3 * Y1 * Y3^-1 * Y1, Y3^5, (R * Y2 * Y3^-1)^2 ]
Map:: non-degenerate
	R = (1, 21, 2, 22)(3, 23, 5, 25)(4, 24, 7, 27)(6, 26, 8, 28)(9, 29, 13, 33)(10, 30, 12, 32)(11, 31, 15, 35)(14, 34, 16, 36)(17, 37, 20, 40)(18, 38, 19, 39)(41, 61, 43, 63, 42, 62, 45, 65)(44, 64, 50, 70, 47, 67, 52, 72)(46, 66, 49, 69, 48, 68, 53, 73)(51, 71, 58, 78, 55, 75, 59, 79)(54, 74, 57, 77, 56, 76, 60, 80)
	L = (1, 44)(2, 47)(3, 49)(4, 51)(5, 53)(6, 41)(7, 55)(8, 42)(9, 57)(10, 43)(11, 54)(12, 45)(13, 60)(14, 46)(15, 56)(16, 48)(17, 58)(18, 50)(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) :: { ( 8, 20, 8, 20 ), ( 8, 20, 8, 20, 8, 20, 8, 20 ) }
Outer automorphisms :: reflexible
Dual of E10.142
Graph:: bipartite
	v = 15 e = 40 f = 7
	degree seq :: [ 4^10, 8^5 ]

E10.142 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 4, 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 * Y3^-1 * Y1^-1, (Y3, Y2^-1), Y2 * Y1^2 * Y3^-1, Y2 * Y3^-1 * Y1^-2, (R * Y3)^2, Y2 * Y1^-1 * Y3 * Y1^-1, Y3^-1 * Y2^2 * Y3^-1, (R * Y2)^2, (R * Y1)^2, Y1^4, Y3^2 * Y2 * Y3 * Y2 ]
Map:: non-degenerate
	R = (1, 21, 2, 22, 8, 28, 5, 25)(3, 23, 11, 31, 4, 24, 12, 32)(6, 26, 9, 29, 7, 27, 10, 30)(13, 33, 19, 39, 14, 34, 20, 40)(15, 35, 17, 37, 16, 36, 18, 38)(41, 61, 43, 63, 53, 73, 56, 76, 47, 67, 48, 68, 44, 64, 54, 74, 55, 75, 46, 66)(42, 62, 49, 69, 57, 77, 60, 80, 52, 72, 45, 65, 50, 70, 58, 78, 59, 79, 51, 71)
	L = (1, 44)(2, 50)(3, 54)(4, 53)(5, 49)(6, 48)(7, 41)(8, 43)(9, 58)(10, 57)(11, 45)(12, 42)(13, 55)(14, 56)(15, 47)(16, 46)(17, 59)(18, 60)(19, 52)(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, 8, 4, 8, 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 E10.141
Graph:: bipartite
	v = 7 e = 40 f = 15
	degree seq :: [ 8^5, 20^2 ]

E10.143 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 20, 20})
Quotient :: dipole
Aut^+ = C20 (small group id <20, 2>)
Aut   = D40 (small group id <40, 6>)
|r| :: 2
Presentation :: [ Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y1^2, R^2, (R * Y1)^2, (Y3^-1 * Y1)^2, (R * Y3)^2, Y2 * Y1 * Y2^-1 * Y1, (R * Y2 * Y3^-1)^2, Y2^10 * Y1, (Y3 * Y2^-1)^20 ]
Map::
	R = (1, 21, 2, 22)(3, 23, 5, 25)(4, 24, 6, 26)(7, 27, 9, 29)(8, 28, 10, 30)(11, 31, 13, 33)(12, 32, 14, 34)(15, 35, 17, 37)(16, 36, 18, 38)(19, 39, 20, 40)(41, 61, 43, 63, 47, 67, 51, 71, 55, 75, 59, 79, 58, 78, 54, 74, 50, 70, 46, 66, 42, 62, 45, 65, 49, 69, 53, 73, 57, 77, 60, 80, 56, 76, 52, 72, 48, 68, 44, 64)
	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) :: { ( 4, 40, 4, 40 ), ( 4, 40, 4, 40, 4, 40, 4, 40, 4, 40, 4, 40, 4, 40, 4, 40, 4, 40, 4, 40, 4, 40, 4, 40, 4, 40, 4, 40, 4, 40, 4, 40, 4, 40, 4, 40, 4, 40, 4, 40 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 11 e = 40 f = 11
	degree seq :: [ 4^10, 40 ]

E10.144 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {21, 21, 21})
Quotient :: edge
Aut^+ = C21 (small group id <21, 2>)
Aut   = D42 (small group id <42, 5>)
|r| :: 2
Presentation :: [ F^2, T2 * T1^2, (F * T2)^2, (F * T1)^2, T1 * T2^-10 ]
Map:: non-degenerate
	R = (1, 3, 7, 11, 15, 19, 18, 14, 10, 6, 2, 4, 8, 12, 16, 20, 21, 17, 13, 9, 5)(22, 23, 26, 27, 30, 31, 34, 35, 38, 39, 42, 40, 41, 36, 37, 32, 33, 28, 29, 24, 25)
	L = (1, 22)(2, 23)(3, 24)(4, 25)(5, 26)(6, 27)(7, 28)(8, 29)(9, 30)(10, 31)(11, 32)(12, 33)(13, 34)(14, 35)(15, 36)(16, 37)(17, 38)(18, 39)(19, 40)(20, 41)(21, 42)
	local type(s) :: { ( 42^21 ) }
Outer automorphisms :: reflexible
Dual of E10.146
Transitivity :: ET+
Graph:: bipartite
	v = 2 e = 21 f = 1
	degree seq :: [ 21^2 ]

E10.145 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {21, 21, 21})
Quotient :: edge
Aut^+ = C21 (small group id <21, 2>)
Aut   = D42 (small group id <42, 5>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, (T2^-1, T1^-1), T1^-1 * T2 * T1^-3, T2 * T1 * T2^4, T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^2 ]
Map:: non-degenerate
	R = (1, 3, 9, 17, 12, 4, 10, 18, 21, 19, 11, 6, 14, 20, 16, 8, 2, 7, 15, 13, 5)(22, 23, 27, 31, 24, 28, 35, 39, 30, 36, 41, 42, 38, 34, 37, 40, 33, 26, 29, 32, 25)
	L = (1, 22)(2, 23)(3, 24)(4, 25)(5, 26)(6, 27)(7, 28)(8, 29)(9, 30)(10, 31)(11, 32)(12, 33)(13, 34)(14, 35)(15, 36)(16, 37)(17, 38)(18, 39)(19, 40)(20, 41)(21, 42)
	local type(s) :: { ( 42^21 ) }
Outer automorphisms :: reflexible
Dual of E10.147
Transitivity :: ET+
Graph:: bipartite
	v = 2 e = 21 f = 1
	degree seq :: [ 21^2 ]

E10.146 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {21, 21, 21})
Quotient :: loop
Aut^+ = C21 (small group id <21, 2>)
Aut   = D42 (small group id <42, 5>)
|r| :: 2
Presentation :: [ F^2, T2 * T1^-1, (F * T1)^2, (F * T2)^2, T2^21, T1^21, (T2^-1 * T1^-1)^21 ]
Map:: non-degenerate
	R = (1, 22, 2, 23, 4, 25, 6, 27, 8, 29, 10, 31, 12, 33, 14, 35, 16, 37, 18, 39, 20, 41, 21, 42, 19, 40, 17, 38, 15, 36, 13, 34, 11, 32, 9, 30, 7, 28, 5, 26, 3, 24)
	L = (1, 23)(2, 25)(3, 22)(4, 27)(5, 24)(6, 29)(7, 26)(8, 31)(9, 28)(10, 33)(11, 30)(12, 35)(13, 32)(14, 37)(15, 34)(16, 39)(17, 36)(18, 41)(19, 38)(20, 42)(21, 40)
	local type(s) :: { ( 21^42 ) }
Outer automorphisms :: reflexible
Dual of E10.144
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 21 f = 2
	degree seq :: [ 42 ]

E10.147 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {21, 21, 21})
Quotient :: loop
Aut^+ = C21 (small group id <21, 2>)
Aut   = D42 (small group id <42, 5>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, (T2^-1, T1^-1), T1^-1 * T2 * T1^-3, T2 * T1 * T2^4, T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^2 ]
Map:: non-degenerate
	R = (1, 22, 3, 24, 9, 30, 17, 38, 12, 33, 4, 25, 10, 31, 18, 39, 21, 42, 19, 40, 11, 32, 6, 27, 14, 35, 20, 41, 16, 37, 8, 29, 2, 23, 7, 28, 15, 36, 13, 34, 5, 26)
	L = (1, 23)(2, 27)(3, 28)(4, 22)(5, 29)(6, 31)(7, 35)(8, 32)(9, 36)(10, 24)(11, 25)(12, 26)(13, 37)(14, 39)(15, 41)(16, 40)(17, 34)(18, 30)(19, 33)(20, 42)(21, 38)
	local type(s) :: { ( 21^42 ) }
Outer automorphisms :: reflexible
Dual of E10.145
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 21 f = 2
	degree seq :: [ 42 ]

E10.148 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {21, 21, 21})
Quotient :: dipole
Aut^+ = C21 (small group id <21, 2>)
Aut   = D42 (small group id <42, 5>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1^-1, Y2^2 * Y3^-1, (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, Y3^10 * Y2, Y2 * Y1^-10 ]
Map::
	R = (1, 22, 2, 23, 6, 27, 10, 31, 14, 35, 18, 39, 20, 41, 16, 37, 12, 33, 8, 29, 3, 24, 5, 26, 7, 28, 11, 32, 15, 36, 19, 40, 21, 42, 17, 38, 13, 34, 9, 30, 4, 25)(43, 64, 45, 66, 46, 67, 50, 71, 51, 72, 54, 75, 55, 76, 58, 79, 59, 80, 62, 83, 63, 84, 60, 81, 61, 82, 56, 77, 57, 78, 52, 73, 53, 74, 48, 69, 49, 70, 44, 65, 47, 68)
	L = (1, 46)(2, 43)(3, 50)(4, 51)(5, 45)(6, 44)(7, 47)(8, 54)(9, 55)(10, 48)(11, 49)(12, 58)(13, 59)(14, 52)(15, 53)(16, 62)(17, 63)(18, 56)(19, 57)(20, 60)(21, 61)(22, 64)(23, 65)(24, 66)(25, 67)(26, 68)(27, 69)(28, 70)(29, 71)(30, 72)(31, 73)(32, 74)(33, 75)(34, 76)(35, 77)(36, 78)(37, 79)(38, 80)(39, 81)(40, 82)(41, 83)(42, 84)
	local type(s) :: { ( 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42 ) }
Outer automorphisms :: reflexible
Dual of E10.150
Graph:: bipartite
	v = 2 e = 42 f = 22
	degree seq :: [ 42^2 ]

E10.149 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {21, 21, 21})
Quotient :: dipole
Aut^+ = C21 (small group id <21, 2>)
Aut   = D42 (small group id <42, 5>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y3, (Y3^-1, Y2), (R * Y2)^2, (R * Y1)^2, (R * Y3)^2, (Y2^-1, Y1^-1), Y3 * Y2^4, Y3^-1 * Y2 * Y3^-4, Y3^-3 * Y1^18, Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3^-2 ]
Map::
	R = (1, 22, 2, 23, 6, 27, 14, 35, 12, 33, 5, 26, 8, 29, 16, 37, 20, 41, 19, 40, 13, 34, 9, 30, 17, 38, 21, 42, 18, 39, 10, 31, 3, 24, 7, 28, 15, 36, 11, 32, 4, 25)(43, 64, 45, 66, 51, 72, 50, 71, 44, 65, 49, 70, 59, 80, 58, 79, 48, 69, 57, 78, 63, 84, 62, 83, 56, 77, 53, 74, 60, 81, 61, 82, 54, 75, 46, 67, 52, 73, 55, 76, 47, 68)
	L = (1, 46)(2, 43)(3, 52)(4, 53)(5, 54)(6, 44)(7, 45)(8, 47)(9, 55)(10, 60)(11, 57)(12, 56)(13, 61)(14, 48)(15, 49)(16, 50)(17, 51)(18, 63)(19, 62)(20, 58)(21, 59)(22, 64)(23, 65)(24, 66)(25, 67)(26, 68)(27, 69)(28, 70)(29, 71)(30, 72)(31, 73)(32, 74)(33, 75)(34, 76)(35, 77)(36, 78)(37, 79)(38, 80)(39, 81)(40, 82)(41, 83)(42, 84)
	local type(s) :: { ( 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42 ) }
Outer automorphisms :: reflexible
Dual of E10.151
Graph:: bipartite
	v = 2 e = 42 f = 22
	degree seq :: [ 42^2 ]

E10.150 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {21, 21, 21})
Quotient :: dipole
Aut^+ = C21 (small group id <21, 2>)
Aut   = D42 (small group id <42, 5>)
|r| :: 2
Presentation :: [ Y1, R^2, Y3 * Y2, (R * Y1)^2, R * Y2 * R * Y3^-1, Y2^21, (Y3^-1 * Y1^-1)^21, (Y3 * Y2^-1)^21 ]
Map::
	R = (1, 22)(2, 23)(3, 24)(4, 25)(5, 26)(6, 27)(7, 28)(8, 29)(9, 30)(10, 31)(11, 32)(12, 33)(13, 34)(14, 35)(15, 36)(16, 37)(17, 38)(18, 39)(19, 40)(20, 41)(21, 42)(43, 64, 44, 65, 46, 67, 48, 69, 50, 71, 52, 73, 54, 75, 56, 77, 58, 79, 60, 81, 62, 83, 63, 84, 61, 82, 59, 80, 57, 78, 55, 76, 53, 74, 51, 72, 49, 70, 47, 68, 45, 66)
	L = (1, 45)(2, 43)(3, 47)(4, 44)(5, 49)(6, 46)(7, 51)(8, 48)(9, 53)(10, 50)(11, 55)(12, 52)(13, 57)(14, 54)(15, 59)(16, 56)(17, 61)(18, 58)(19, 63)(20, 60)(21, 62)(22, 64)(23, 65)(24, 66)(25, 67)(26, 68)(27, 69)(28, 70)(29, 71)(30, 72)(31, 73)(32, 74)(33, 75)(34, 76)(35, 77)(36, 78)(37, 79)(38, 80)(39, 81)(40, 82)(41, 83)(42, 84)
	local type(s) :: { ( 42, 42 ), ( 42^42 ) }
Outer automorphisms :: reflexible
Dual of E10.148
Graph:: bipartite
	v = 22 e = 42 f = 2
	degree seq :: [ 2^21, 42 ]

E10.151 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {21, 21, 21})
Quotient :: dipole
Aut^+ = C21 (small group id <21, 2>)
Aut   = D42 (small group id <42, 5>)
|r| :: 2
Presentation :: [ Y1, R^2, (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, (Y2, Y3^-1), Y2 * Y3 * Y2^3, Y3^-5 * Y2, Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * 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)^21 ]
Map::
	R = (1, 22)(2, 23)(3, 24)(4, 25)(5, 26)(6, 27)(7, 28)(8, 29)(9, 30)(10, 31)(11, 32)(12, 33)(13, 34)(14, 35)(15, 36)(16, 37)(17, 38)(18, 39)(19, 40)(20, 41)(21, 42)(43, 64, 44, 65, 48, 69, 54, 75, 47, 68, 50, 71, 56, 77, 61, 82, 55, 76, 58, 79, 62, 83, 63, 84, 59, 80, 51, 72, 57, 78, 60, 81, 52, 73, 45, 66, 49, 70, 53, 74, 46, 67)
	L = (1, 45)(2, 49)(3, 51)(4, 52)(5, 43)(6, 53)(7, 57)(8, 44)(9, 58)(10, 59)(11, 60)(12, 46)(13, 47)(14, 48)(15, 62)(16, 50)(17, 55)(18, 63)(19, 54)(20, 56)(21, 61)(22, 64)(23, 65)(24, 66)(25, 67)(26, 68)(27, 69)(28, 70)(29, 71)(30, 72)(31, 73)(32, 74)(33, 75)(34, 76)(35, 77)(36, 78)(37, 79)(38, 80)(39, 81)(40, 82)(41, 83)(42, 84)
	local type(s) :: { ( 42, 42 ), ( 42^42 ) }
Outer automorphisms :: reflexible
Dual of E10.149
Graph:: bipartite
	v = 22 e = 42 f = 2
	degree seq :: [ 2^21, 42 ]

E10.152 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 11, 11})
Quotient :: halfedge^2
Aut^+ = D22 (small group id <22, 1>)
Aut   = D44 (small group id <44, 3>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, Y2 * Y3, (R * Y1)^2, R * Y3 * R * Y2, Y1^-1 * Y3 * Y1^-1 * Y2, Y1^11 ]
Map::
	R = (1, 24, 2, 27, 5, 31, 9, 35, 13, 39, 17, 42, 20, 38, 16, 34, 12, 30, 8, 26, 4, 23)(3, 29, 7, 33, 11, 37, 15, 41, 19, 44, 22, 43, 21, 40, 18, 36, 14, 32, 10, 28, 6, 25)
	L = (1, 3)(2, 6)(4, 7)(5, 10)(8, 11)(9, 14)(12, 15)(13, 18)(16, 19)(17, 21)(20, 22)(23, 25)(24, 28)(26, 29)(27, 32)(30, 33)(31, 36)(34, 37)(35, 40)(38, 41)(39, 43)(42, 44)
	local type(s) :: { ( 22^22 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+ AT
Graph:: bipartite
	v = 2 e = 22 f = 2
	degree seq :: [ 22^2 ]

E10.153 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 11, 11})
Quotient :: halfedge^2
Aut^+ = D22 (small group id <22, 1>)
Aut   = D44 (small group id <44, 3>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, R * Y3 * R * Y2, (Y3 * Y1^-1)^2, (R * Y1)^2, (Y2 * Y1)^2, Y1^-1 * Y3 * Y1 * Y2 * Y1^-2, Y1^2 * Y3 * Y1^-1 * Y2 * Y3 * Y2 ]
Map:: non-degenerate
	R = (1, 24, 2, 28, 6, 36, 14, 34, 12, 40, 18, 42, 20, 32, 10, 39, 17, 35, 13, 27, 5, 23)(3, 31, 9, 41, 19, 44, 22, 43, 21, 38, 16, 30, 8, 26, 4, 33, 11, 37, 15, 29, 7, 25)
	L = (1, 3)(2, 7)(4, 12)(5, 9)(6, 15)(8, 18)(10, 21)(11, 14)(13, 19)(16, 20)(17, 22)(23, 26)(24, 30)(25, 32)(27, 33)(28, 38)(29, 39)(31, 42)(34, 44)(35, 37)(36, 43)(40, 41)
	local type(s) :: { ( 22^22 ) }
Outer automorphisms :: reflexible
Dual of E10.155
Transitivity :: VT+ AT
Graph:: bipartite
	v = 2 e = 22 f = 2
	degree seq :: [ 22^2 ]

E10.154 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 11, 11})
Quotient :: halfedge^2
Aut^+ = D22 (small group id <22, 1>)
Aut   = D44 (small group id <44, 3>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, R * Y3 * R * Y2, (Y1^-1 * Y2)^2, (R * Y1)^2, (Y3 * Y1^-1)^2, (Y3 * Y1^2)^2, Y1^-1 * Y2 * Y3 * Y1^-3, Y1^2 * Y2 * Y1^-1 * Y3 * Y2 * Y3 ]
Map:: non-degenerate
	R = (1, 24, 2, 28, 6, 36, 14, 32, 10, 39, 17, 43, 21, 34, 12, 40, 18, 35, 13, 27, 5, 23)(3, 31, 9, 38, 16, 30, 8, 26, 4, 33, 11, 42, 20, 41, 19, 44, 22, 37, 15, 29, 7, 25)
	L = (1, 3)(2, 7)(4, 12)(5, 9)(6, 15)(8, 18)(10, 19)(11, 21)(13, 16)(14, 22)(17, 20)(23, 26)(24, 30)(25, 32)(27, 33)(28, 38)(29, 39)(31, 36)(34, 44)(35, 42)(37, 43)(40, 41)
	local type(s) :: { ( 22^22 ) }
Outer automorphisms :: reflexible
Dual of E10.156
Transitivity :: VT+ AT
Graph:: bipartite
	v = 2 e = 22 f = 2
	degree seq :: [ 22^2 ]

E10.155 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 11, 11})
Quotient :: halfedge^2
Aut^+ = D22 (small group id <22, 1>)
Aut   = D44 (small group id <44, 3>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, (Y1 * Y2)^2, (Y3 * Y1^-1)^2, (R * Y1)^2, R * Y3 * R * Y2, Y2 * Y1^3 * Y3, Y2 * Y1^-2 * Y3 * Y2 * Y3 * Y2 * Y3 ]
Map:: non-degenerate
	R = (1, 24, 2, 28, 6, 32, 10, 37, 15, 42, 20, 44, 22, 40, 18, 34, 12, 35, 13, 27, 5, 23)(3, 31, 9, 30, 8, 26, 4, 33, 11, 39, 17, 41, 19, 43, 21, 38, 16, 36, 14, 29, 7, 25)
	L = (1, 3)(2, 7)(4, 12)(5, 9)(6, 14)(8, 13)(10, 16)(11, 18)(15, 21)(17, 22)(19, 20)(23, 26)(24, 30)(25, 32)(27, 33)(28, 31)(29, 37)(34, 41)(35, 39)(36, 42)(38, 44)(40, 43)
	local type(s) :: { ( 22^22 ) }
Outer automorphisms :: reflexible
Dual of E10.153
Transitivity :: VT+ AT
Graph:: bipartite
	v = 2 e = 22 f = 2
	degree seq :: [ 22^2 ]

E10.156 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 11, 11})
Quotient :: halfedge^2
Aut^+ = D22 (small group id <22, 1>)
Aut   = D44 (small group id <44, 3>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, (Y1 * Y3)^2, (Y2 * Y1^-1)^2, R * Y3 * R * Y2, (R * Y1)^2, (Y3 * Y1^-1)^2, Y1^2 * Y2 * Y1^-1 * Y3, Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y1^-2 ]
Map:: non-degenerate
	R = (1, 24, 2, 28, 6, 34, 12, 37, 15, 42, 20, 44, 22, 39, 17, 32, 10, 35, 13, 27, 5, 23)(3, 31, 9, 38, 16, 40, 18, 43, 21, 41, 19, 36, 14, 30, 8, 26, 4, 33, 11, 29, 7, 25)
	L = (1, 3)(2, 7)(4, 12)(5, 9)(6, 11)(8, 15)(10, 18)(13, 16)(14, 20)(17, 21)(19, 22)(23, 26)(24, 30)(25, 32)(27, 33)(28, 36)(29, 35)(31, 39)(34, 41)(37, 43)(38, 44)(40, 42)
	local type(s) :: { ( 22^22 ) }
Outer automorphisms :: reflexible
Dual of E10.154
Transitivity :: VT+ AT
Graph:: bipartite
	v = 2 e = 22 f = 2
	degree seq :: [ 22^2 ]

E10.157 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 11, 11})
Quotient :: edge^2
Aut^+ = D22 (small group id <22, 1>)
Aut   = D44 (small group id <44, 3>)
|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, Y3^11 ]
Map::
	R = (1, 23, 3, 25, 7, 29, 11, 33, 15, 37, 19, 41, 20, 42, 16, 38, 12, 34, 8, 30, 4, 26)(2, 24, 5, 27, 9, 31, 13, 35, 17, 39, 21, 43, 22, 44, 18, 40, 14, 36, 10, 32, 6, 28)(45, 46)(47, 50)(48, 49)(51, 54)(52, 53)(55, 58)(56, 57)(59, 62)(60, 61)(63, 66)(64, 65)(67, 68)(69, 72)(70, 71)(73, 76)(74, 75)(77, 80)(78, 79)(81, 84)(82, 83)(85, 88)(86, 87)
	L = (1, 45)(2, 46)(3, 47)(4, 48)(5, 49)(6, 50)(7, 51)(8, 52)(9, 53)(10, 54)(11, 55)(12, 56)(13, 57)(14, 58)(15, 59)(16, 60)(17, 61)(18, 62)(19, 63)(20, 64)(21, 65)(22, 66)(23, 67)(24, 68)(25, 69)(26, 70)(27, 71)(28, 72)(29, 73)(30, 74)(31, 75)(32, 76)(33, 77)(34, 78)(35, 79)(36, 80)(37, 81)(38, 82)(39, 83)(40, 84)(41, 85)(42, 86)(43, 87)(44, 88)
	local type(s) :: { ( 44, 44 ), ( 44^22 ) }
Outer automorphisms :: reflexible
Dual of E10.163
Graph:: simple bipartite
	v = 24 e = 44 f = 2
	degree seq :: [ 2^22, 22^2 ]

E10.158 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 11, 11})
Quotient :: edge^2
Aut^+ = D22 (small group id <22, 1>)
Aut   = D44 (small group id <44, 3>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, (Y3^-1 * Y1)^2, R * Y2 * R * Y1, (R * Y3)^2, (Y3 * Y2)^2, Y3^-4 * Y2 * Y1, Y1 * Y3^3 * Y2 * Y1 * Y2 ]
Map::
	R = (1, 23, 4, 26, 12, 34, 21, 43, 9, 31, 20, 42, 16, 38, 6, 28, 15, 37, 13, 35, 5, 27)(2, 24, 7, 29, 17, 39, 19, 41, 14, 36, 22, 44, 11, 33, 3, 25, 10, 32, 18, 40, 8, 30)(45, 46)(47, 53)(48, 52)(49, 51)(50, 58)(54, 65)(55, 64)(56, 62)(57, 61)(59, 63)(60, 66)(67, 69)(68, 72)(70, 77)(71, 76)(73, 82)(74, 81)(75, 85)(78, 88)(79, 84)(80, 87)(83, 86)
	L = (1, 45)(2, 46)(3, 47)(4, 48)(5, 49)(6, 50)(7, 51)(8, 52)(9, 53)(10, 54)(11, 55)(12, 56)(13, 57)(14, 58)(15, 59)(16, 60)(17, 61)(18, 62)(19, 63)(20, 64)(21, 65)(22, 66)(23, 67)(24, 68)(25, 69)(26, 70)(27, 71)(28, 72)(29, 73)(30, 74)(31, 75)(32, 76)(33, 77)(34, 78)(35, 79)(36, 80)(37, 81)(38, 82)(39, 83)(40, 84)(41, 85)(42, 86)(43, 87)(44, 88)
	local type(s) :: { ( 44, 44 ), ( 44^22 ) }
Outer automorphisms :: reflexible
Dual of E10.166
Graph:: simple bipartite
	v = 24 e = 44 f = 2
	degree seq :: [ 2^22, 22^2 ]

E10.159 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 11, 11})
Quotient :: edge^2
Aut^+ = D22 (small group id <22, 1>)
Aut   = D44 (small group id <44, 3>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, (Y3^-1 * Y1)^2, R * Y2 * R * Y1, (R * Y3)^2, (Y3 * Y2)^2, Y3^-1 * Y1 * Y3 * Y2 * Y3^-2, Y1 * Y2 * Y3^3 * Y1 * Y2 ]
Map::
	R = (1, 23, 4, 26, 12, 34, 16, 38, 6, 28, 15, 37, 21, 43, 9, 31, 20, 42, 13, 35, 5, 27)(2, 24, 7, 29, 17, 39, 11, 33, 3, 25, 10, 32, 22, 44, 14, 36, 19, 41, 18, 40, 8, 30)(45, 46)(47, 53)(48, 52)(49, 51)(50, 58)(54, 65)(55, 64)(56, 62)(57, 61)(59, 66)(60, 63)(67, 69)(68, 72)(70, 77)(71, 76)(73, 82)(74, 81)(75, 85)(78, 83)(79, 88)(80, 86)(84, 87)
	L = (1, 45)(2, 46)(3, 47)(4, 48)(5, 49)(6, 50)(7, 51)(8, 52)(9, 53)(10, 54)(11, 55)(12, 56)(13, 57)(14, 58)(15, 59)(16, 60)(17, 61)(18, 62)(19, 63)(20, 64)(21, 65)(22, 66)(23, 67)(24, 68)(25, 69)(26, 70)(27, 71)(28, 72)(29, 73)(30, 74)(31, 75)(32, 76)(33, 77)(34, 78)(35, 79)(36, 80)(37, 81)(38, 82)(39, 83)(40, 84)(41, 85)(42, 86)(43, 87)(44, 88)
	local type(s) :: { ( 44, 44 ), ( 44^22 ) }
Outer automorphisms :: reflexible
Dual of E10.167
Graph:: simple bipartite
	v = 24 e = 44 f = 2
	degree seq :: [ 2^22, 22^2 ]

E10.160 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 11, 11})
Quotient :: edge^2
Aut^+ = D22 (small group id <22, 1>)
Aut   = D44 (small group id <44, 3>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, (Y3^-1 * Y2)^2, R * Y2 * R * Y1, (R * Y3)^2, (Y3 * Y1)^2, Y2 * Y3^-3 * Y1, 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 * Y1 * Y2 ]
Map::
	R = (1, 23, 4, 26, 12, 34, 6, 28, 15, 37, 22, 44, 20, 42, 18, 40, 9, 31, 13, 35, 5, 27)(2, 24, 7, 29, 11, 33, 3, 25, 10, 32, 19, 41, 17, 39, 21, 43, 14, 36, 16, 38, 8, 30)(45, 46)(47, 53)(48, 52)(49, 51)(50, 58)(54, 62)(55, 57)(56, 60)(59, 65)(61, 66)(63, 64)(67, 69)(68, 72)(70, 77)(71, 76)(73, 78)(74, 81)(75, 83)(79, 85)(80, 86)(82, 88)(84, 87)
	L = (1, 45)(2, 46)(3, 47)(4, 48)(5, 49)(6, 50)(7, 51)(8, 52)(9, 53)(10, 54)(11, 55)(12, 56)(13, 57)(14, 58)(15, 59)(16, 60)(17, 61)(18, 62)(19, 63)(20, 64)(21, 65)(22, 66)(23, 67)(24, 68)(25, 69)(26, 70)(27, 71)(28, 72)(29, 73)(30, 74)(31, 75)(32, 76)(33, 77)(34, 78)(35, 79)(36, 80)(37, 81)(38, 82)(39, 83)(40, 84)(41, 85)(42, 86)(43, 87)(44, 88)
	local type(s) :: { ( 44, 44 ), ( 44^22 ) }
Outer automorphisms :: reflexible
Dual of E10.164
Graph:: simple bipartite
	v = 24 e = 44 f = 2
	degree seq :: [ 2^22, 22^2 ]

E10.161 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 11, 11})
Quotient :: edge^2
Aut^+ = D22 (small group id <22, 1>)
Aut   = D44 (small group id <44, 3>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, (Y3 * Y2)^2, R * Y2 * R * Y1, (R * Y3)^2, (Y3^-1 * Y1)^2, Y2 * Y3^3 * Y1, Y2 * Y3^-2 * Y1 * Y2 * Y1 * Y2 * Y1 ]
Map::
	R = (1, 23, 4, 26, 12, 34, 9, 31, 18, 40, 20, 42, 22, 44, 15, 37, 6, 28, 13, 35, 5, 27)(2, 24, 7, 29, 16, 38, 14, 36, 21, 43, 17, 39, 19, 41, 11, 33, 3, 25, 10, 32, 8, 30)(45, 46)(47, 53)(48, 52)(49, 51)(50, 58)(54, 56)(55, 62)(57, 60)(59, 65)(61, 66)(63, 64)(67, 69)(68, 72)(70, 77)(71, 76)(73, 81)(74, 79)(75, 83)(78, 85)(80, 86)(82, 88)(84, 87)
	L = (1, 45)(2, 46)(3, 47)(4, 48)(5, 49)(6, 50)(7, 51)(8, 52)(9, 53)(10, 54)(11, 55)(12, 56)(13, 57)(14, 58)(15, 59)(16, 60)(17, 61)(18, 62)(19, 63)(20, 64)(21, 65)(22, 66)(23, 67)(24, 68)(25, 69)(26, 70)(27, 71)(28, 72)(29, 73)(30, 74)(31, 75)(32, 76)(33, 77)(34, 78)(35, 79)(36, 80)(37, 81)(38, 82)(39, 83)(40, 84)(41, 85)(42, 86)(43, 87)(44, 88)
	local type(s) :: { ( 44, 44 ), ( 44^22 ) }
Outer automorphisms :: reflexible
Dual of E10.165
Graph:: simple bipartite
	v = 24 e = 44 f = 2
	degree seq :: [ 2^22, 22^2 ]

E10.162 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 11, 11})
Quotient :: edge^2
Aut^+ = D22 (small group id <22, 1>)
Aut   = D44 (small group id <44, 3>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2^-1 * Y1^-1, R * Y1 * R * Y2, (R * Y3)^2, Y3 * Y1 * Y3 * Y2^-1, Y2^11, Y1^11 ]
Map:: non-degenerate
	R = (1, 23, 4, 26)(2, 24, 6, 28)(3, 25, 8, 30)(5, 27, 10, 32)(7, 29, 12, 34)(9, 31, 14, 36)(11, 33, 16, 38)(13, 35, 18, 40)(15, 37, 20, 42)(17, 39, 21, 43)(19, 41, 22, 44)(45, 46, 49, 53, 57, 61, 63, 59, 55, 51, 47)(48, 52, 56, 60, 64, 66, 65, 62, 58, 54, 50)(67, 69, 73, 77, 81, 85, 83, 79, 75, 71, 68)(70, 72, 76, 80, 84, 87, 88, 86, 82, 78, 74)
	L = (1, 45)(2, 46)(3, 47)(4, 48)(5, 49)(6, 50)(7, 51)(8, 52)(9, 53)(10, 54)(11, 55)(12, 56)(13, 57)(14, 58)(15, 59)(16, 60)(17, 61)(18, 62)(19, 63)(20, 64)(21, 65)(22, 66)(23, 67)(24, 68)(25, 69)(26, 70)(27, 71)(28, 72)(29, 73)(30, 74)(31, 75)(32, 76)(33, 77)(34, 78)(35, 79)(36, 80)(37, 81)(38, 82)(39, 83)(40, 84)(41, 85)(42, 86)(43, 87)(44, 88)
	local type(s) :: { ( 8^4 ), ( 8^11 ) }
Outer automorphisms :: reflexible
Dual of E10.168
Graph:: simple bipartite
	v = 15 e = 44 f = 11
	degree seq :: [ 4^11, 11^4 ]

E10.163 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 11, 11})
Quotient :: loop^2
Aut^+ = D22 (small group id <22, 1>)
Aut   = D44 (small group id <44, 3>)
|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, Y3^11 ]
Map::
	R = (1, 23, 45, 67, 3, 25, 47, 69, 7, 29, 51, 73, 11, 33, 55, 77, 15, 37, 59, 81, 19, 41, 63, 85, 20, 42, 64, 86, 16, 38, 60, 82, 12, 34, 56, 78, 8, 30, 52, 74, 4, 26, 48, 70)(2, 24, 46, 68, 5, 27, 49, 71, 9, 31, 53, 75, 13, 35, 57, 79, 17, 39, 61, 83, 21, 43, 65, 87, 22, 44, 66, 88, 18, 40, 62, 84, 14, 36, 58, 80, 10, 32, 54, 76, 6, 28, 50, 72)
	L = (1, 24)(2, 23)(3, 28)(4, 27)(5, 26)(6, 25)(7, 32)(8, 31)(9, 30)(10, 29)(11, 36)(12, 35)(13, 34)(14, 33)(15, 40)(16, 39)(17, 38)(18, 37)(19, 44)(20, 43)(21, 42)(22, 41)(45, 68)(46, 67)(47, 72)(48, 71)(49, 70)(50, 69)(51, 76)(52, 75)(53, 74)(54, 73)(55, 80)(56, 79)(57, 78)(58, 77)(59, 84)(60, 83)(61, 82)(62, 81)(63, 88)(64, 87)(65, 86)(66, 85)
	local type(s) :: { ( 2, 22, 2, 22, 2, 22, 2, 22, 2, 22, 2, 22, 2, 22, 2, 22, 2, 22, 2, 22, 2, 22, 2, 22, 2, 22, 2, 22, 2, 22, 2, 22, 2, 22, 2, 22, 2, 22, 2, 22, 2, 22, 2, 22 ) }
Outer automorphisms :: reflexible
Dual of E10.157
Transitivity :: VT+
Graph:: bipartite
	v = 2 e = 44 f = 24
	degree seq :: [ 44^2 ]

E10.164 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 11, 11})
Quotient :: loop^2
Aut^+ = D22 (small group id <22, 1>)
Aut   = D44 (small group id <44, 3>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, (Y3^-1 * Y1)^2, R * Y2 * R * Y1, (R * Y3)^2, (Y3 * Y2)^2, Y3^-4 * Y2 * Y1, Y1 * Y3^3 * Y2 * Y1 * Y2 ]
Map::
	R = (1, 23, 45, 67, 4, 26, 48, 70, 12, 34, 56, 78, 21, 43, 65, 87, 9, 31, 53, 75, 20, 42, 64, 86, 16, 38, 60, 82, 6, 28, 50, 72, 15, 37, 59, 81, 13, 35, 57, 79, 5, 27, 49, 71)(2, 24, 46, 68, 7, 29, 51, 73, 17, 39, 61, 83, 19, 41, 63, 85, 14, 36, 58, 80, 22, 44, 66, 88, 11, 33, 55, 77, 3, 25, 47, 69, 10, 32, 54, 76, 18, 40, 62, 84, 8, 30, 52, 74)
	L = (1, 24)(2, 23)(3, 31)(4, 30)(5, 29)(6, 36)(7, 27)(8, 26)(9, 25)(10, 43)(11, 42)(12, 40)(13, 39)(14, 28)(15, 41)(16, 44)(17, 35)(18, 34)(19, 37)(20, 33)(21, 32)(22, 38)(45, 69)(46, 72)(47, 67)(48, 77)(49, 76)(50, 68)(51, 82)(52, 81)(53, 85)(54, 71)(55, 70)(56, 88)(57, 84)(58, 87)(59, 74)(60, 73)(61, 86)(62, 79)(63, 75)(64, 83)(65, 80)(66, 78)
	local type(s) :: { ( 2, 22, 2, 22, 2, 22, 2, 22, 2, 22, 2, 22, 2, 22, 2, 22, 2, 22, 2, 22, 2, 22, 2, 22, 2, 22, 2, 22, 2, 22, 2, 22, 2, 22, 2, 22, 2, 22, 2, 22, 2, 22, 2, 22 ) }
Outer automorphisms :: reflexible
Dual of E10.160
Transitivity :: VT+
Graph:: bipartite
	v = 2 e = 44 f = 24
	degree seq :: [ 44^2 ]

E10.165 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 11, 11})
Quotient :: loop^2
Aut^+ = D22 (small group id <22, 1>)
Aut   = D44 (small group id <44, 3>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, (Y3^-1 * Y1)^2, R * Y2 * R * Y1, (R * Y3)^2, (Y3 * Y2)^2, Y3^-1 * Y1 * Y3 * Y2 * Y3^-2, Y1 * Y2 * Y3^3 * Y1 * Y2 ]
Map::
	R = (1, 23, 45, 67, 4, 26, 48, 70, 12, 34, 56, 78, 16, 38, 60, 82, 6, 28, 50, 72, 15, 37, 59, 81, 21, 43, 65, 87, 9, 31, 53, 75, 20, 42, 64, 86, 13, 35, 57, 79, 5, 27, 49, 71)(2, 24, 46, 68, 7, 29, 51, 73, 17, 39, 61, 83, 11, 33, 55, 77, 3, 25, 47, 69, 10, 32, 54, 76, 22, 44, 66, 88, 14, 36, 58, 80, 19, 41, 63, 85, 18, 40, 62, 84, 8, 30, 52, 74)
	L = (1, 24)(2, 23)(3, 31)(4, 30)(5, 29)(6, 36)(7, 27)(8, 26)(9, 25)(10, 43)(11, 42)(12, 40)(13, 39)(14, 28)(15, 44)(16, 41)(17, 35)(18, 34)(19, 38)(20, 33)(21, 32)(22, 37)(45, 69)(46, 72)(47, 67)(48, 77)(49, 76)(50, 68)(51, 82)(52, 81)(53, 85)(54, 71)(55, 70)(56, 83)(57, 88)(58, 86)(59, 74)(60, 73)(61, 78)(62, 87)(63, 75)(64, 80)(65, 84)(66, 79)
	local type(s) :: { ( 2, 22, 2, 22, 2, 22, 2, 22, 2, 22, 2, 22, 2, 22, 2, 22, 2, 22, 2, 22, 2, 22, 2, 22, 2, 22, 2, 22, 2, 22, 2, 22, 2, 22, 2, 22, 2, 22, 2, 22, 2, 22, 2, 22 ) }
Outer automorphisms :: reflexible
Dual of E10.161
Transitivity :: VT+
Graph:: bipartite
	v = 2 e = 44 f = 24
	degree seq :: [ 44^2 ]

E10.166 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 11, 11})
Quotient :: loop^2
Aut^+ = D22 (small group id <22, 1>)
Aut   = D44 (small group id <44, 3>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, (Y3^-1 * Y2)^2, R * Y2 * R * Y1, (R * Y3)^2, (Y3 * Y1)^2, Y2 * Y3^-3 * Y1, 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 * Y1 * Y2 ]
Map::
	R = (1, 23, 45, 67, 4, 26, 48, 70, 12, 34, 56, 78, 6, 28, 50, 72, 15, 37, 59, 81, 22, 44, 66, 88, 20, 42, 64, 86, 18, 40, 62, 84, 9, 31, 53, 75, 13, 35, 57, 79, 5, 27, 49, 71)(2, 24, 46, 68, 7, 29, 51, 73, 11, 33, 55, 77, 3, 25, 47, 69, 10, 32, 54, 76, 19, 41, 63, 85, 17, 39, 61, 83, 21, 43, 65, 87, 14, 36, 58, 80, 16, 38, 60, 82, 8, 30, 52, 74)
	L = (1, 24)(2, 23)(3, 31)(4, 30)(5, 29)(6, 36)(7, 27)(8, 26)(9, 25)(10, 40)(11, 35)(12, 38)(13, 33)(14, 28)(15, 43)(16, 34)(17, 44)(18, 32)(19, 42)(20, 41)(21, 37)(22, 39)(45, 69)(46, 72)(47, 67)(48, 77)(49, 76)(50, 68)(51, 78)(52, 81)(53, 83)(54, 71)(55, 70)(56, 73)(57, 85)(58, 86)(59, 74)(60, 88)(61, 75)(62, 87)(63, 79)(64, 80)(65, 84)(66, 82)
	local type(s) :: { ( 2, 22, 2, 22, 2, 22, 2, 22, 2, 22, 2, 22, 2, 22, 2, 22, 2, 22, 2, 22, 2, 22, 2, 22, 2, 22, 2, 22, 2, 22, 2, 22, 2, 22, 2, 22, 2, 22, 2, 22, 2, 22, 2, 22 ) }
Outer automorphisms :: reflexible
Dual of E10.158
Transitivity :: VT+
Graph:: bipartite
	v = 2 e = 44 f = 24
	degree seq :: [ 44^2 ]

E10.167 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 11, 11})
Quotient :: loop^2
Aut^+ = D22 (small group id <22, 1>)
Aut   = D44 (small group id <44, 3>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, (Y3 * Y2)^2, R * Y2 * R * Y1, (R * Y3)^2, (Y3^-1 * Y1)^2, Y2 * Y3^3 * Y1, Y2 * Y3^-2 * Y1 * Y2 * Y1 * Y2 * Y1 ]
Map::
	R = (1, 23, 45, 67, 4, 26, 48, 70, 12, 34, 56, 78, 9, 31, 53, 75, 18, 40, 62, 84, 20, 42, 64, 86, 22, 44, 66, 88, 15, 37, 59, 81, 6, 28, 50, 72, 13, 35, 57, 79, 5, 27, 49, 71)(2, 24, 46, 68, 7, 29, 51, 73, 16, 38, 60, 82, 14, 36, 58, 80, 21, 43, 65, 87, 17, 39, 61, 83, 19, 41, 63, 85, 11, 33, 55, 77, 3, 25, 47, 69, 10, 32, 54, 76, 8, 30, 52, 74)
	L = (1, 24)(2, 23)(3, 31)(4, 30)(5, 29)(6, 36)(7, 27)(8, 26)(9, 25)(10, 34)(11, 40)(12, 32)(13, 38)(14, 28)(15, 43)(16, 35)(17, 44)(18, 33)(19, 42)(20, 41)(21, 37)(22, 39)(45, 69)(46, 72)(47, 67)(48, 77)(49, 76)(50, 68)(51, 81)(52, 79)(53, 83)(54, 71)(55, 70)(56, 85)(57, 74)(58, 86)(59, 73)(60, 88)(61, 75)(62, 87)(63, 78)(64, 80)(65, 84)(66, 82)
	local type(s) :: { ( 2, 22, 2, 22, 2, 22, 2, 22, 2, 22, 2, 22, 2, 22, 2, 22, 2, 22, 2, 22, 2, 22, 2, 22, 2, 22, 2, 22, 2, 22, 2, 22, 2, 22, 2, 22, 2, 22, 2, 22, 2, 22, 2, 22 ) }
Outer automorphisms :: reflexible
Dual of E10.159
Transitivity :: VT+
Graph:: bipartite
	v = 2 e = 44 f = 24
	degree seq :: [ 44^2 ]

E10.168 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 11, 11})
Quotient :: loop^2
Aut^+ = D22 (small group id <22, 1>)
Aut   = D44 (small group id <44, 3>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2^-1 * Y1^-1, R * Y1 * R * Y2, (R * Y3)^2, Y3 * Y1 * Y3 * Y2^-1, Y2^11, Y1^11 ]
Map:: non-degenerate
	R = (1, 23, 45, 67, 4, 26, 48, 70)(2, 24, 46, 68, 6, 28, 50, 72)(3, 25, 47, 69, 8, 30, 52, 74)(5, 27, 49, 71, 10, 32, 54, 76)(7, 29, 51, 73, 12, 34, 56, 78)(9, 31, 53, 75, 14, 36, 58, 80)(11, 33, 55, 77, 16, 38, 60, 82)(13, 35, 57, 79, 18, 40, 62, 84)(15, 37, 59, 81, 20, 42, 64, 86)(17, 39, 61, 83, 21, 43, 65, 87)(19, 41, 63, 85, 22, 44, 66, 88)
	L = (1, 24)(2, 27)(3, 23)(4, 30)(5, 31)(6, 26)(7, 25)(8, 34)(9, 35)(10, 28)(11, 29)(12, 38)(13, 39)(14, 32)(15, 33)(16, 42)(17, 41)(18, 36)(19, 37)(20, 44)(21, 40)(22, 43)(45, 69)(46, 67)(47, 73)(48, 72)(49, 68)(50, 76)(51, 77)(52, 70)(53, 71)(54, 80)(55, 81)(56, 74)(57, 75)(58, 84)(59, 85)(60, 78)(61, 79)(62, 87)(63, 83)(64, 82)(65, 88)(66, 86)
	local type(s) :: { ( 4, 11, 4, 11, 4, 11, 4, 11 ) }
Outer automorphisms :: reflexible
Dual of E10.162
Transitivity :: VT+
Graph::
	v = 11 e = 44 f = 15
	degree seq :: [ 8^11 ]

E10.169 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 11, 11})
Quotient :: dipole
Aut^+ = C22 (small group id <22, 2>)
Aut   = D44 (small group id <44, 3>)
|r| :: 2
Presentation :: [ Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y1^2, R^2, (R * Y1)^2, (Y3^-1 * Y1)^2, (R * Y3)^2, Y2 * Y1 * Y2^-1 * Y1, (R * Y2 * Y3^-1)^2, Y2^11, (Y3 * Y2^-1)^11 ]
Map::
	R = (1, 23, 2, 24)(3, 25, 5, 27)(4, 26, 6, 28)(7, 29, 9, 31)(8, 30, 10, 32)(11, 33, 13, 35)(12, 34, 14, 36)(15, 37, 17, 39)(16, 38, 18, 40)(19, 41, 21, 43)(20, 42, 22, 44)(45, 67, 47, 69, 51, 73, 55, 77, 59, 81, 63, 85, 64, 86, 60, 82, 56, 78, 52, 74, 48, 70)(46, 68, 49, 71, 53, 75, 57, 79, 61, 83, 65, 87, 66, 88, 62, 84, 58, 80, 54, 76, 50, 72)
	L = (1, 45)(2, 46)(3, 47)(4, 48)(5, 49)(6, 50)(7, 51)(8, 52)(9, 53)(10, 54)(11, 55)(12, 56)(13, 57)(14, 58)(15, 59)(16, 60)(17, 61)(18, 62)(19, 63)(20, 64)(21, 65)(22, 66)(23, 67)(24, 68)(25, 69)(26, 70)(27, 71)(28, 72)(29, 73)(30, 74)(31, 75)(32, 76)(33, 77)(34, 78)(35, 79)(36, 80)(37, 81)(38, 82)(39, 83)(40, 84)(41, 85)(42, 86)(43, 87)(44, 88)
	local type(s) :: { ( 4, 22, 4, 22 ), ( 4, 22, 4, 22, 4, 22, 4, 22, 4, 22, 4, 22, 4, 22, 4, 22, 4, 22, 4, 22, 4, 22 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 13 e = 44 f = 13
	degree seq :: [ 4^11, 22^2 ]

E10.170 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 11, 11})
Quotient :: dipole
Aut^+ = D22 (small group id <22, 1>)
Aut   = D44 (small group id <44, 3>)
|r| :: 2
Presentation :: [ 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, Y2^11, (Y3 * Y2^-1)^11 ]
Map::
	R = (1, 23, 2, 24)(3, 25, 6, 28)(4, 26, 5, 27)(7, 29, 10, 32)(8, 30, 9, 31)(11, 33, 14, 36)(12, 34, 13, 35)(15, 37, 18, 40)(16, 38, 17, 39)(19, 41, 22, 44)(20, 42, 21, 43)(45, 67, 47, 69, 51, 73, 55, 77, 59, 81, 63, 85, 64, 86, 60, 82, 56, 78, 52, 74, 48, 70)(46, 68, 49, 71, 53, 75, 57, 79, 61, 83, 65, 87, 66, 88, 62, 84, 58, 80, 54, 76, 50, 72)
	L = (1, 45)(2, 46)(3, 47)(4, 48)(5, 49)(6, 50)(7, 51)(8, 52)(9, 53)(10, 54)(11, 55)(12, 56)(13, 57)(14, 58)(15, 59)(16, 60)(17, 61)(18, 62)(19, 63)(20, 64)(21, 65)(22, 66)(23, 67)(24, 68)(25, 69)(26, 70)(27, 71)(28, 72)(29, 73)(30, 74)(31, 75)(32, 76)(33, 77)(34, 78)(35, 79)(36, 80)(37, 81)(38, 82)(39, 83)(40, 84)(41, 85)(42, 86)(43, 87)(44, 88)
	local type(s) :: { ( 4, 22, 4, 22 ), ( 4, 22, 4, 22, 4, 22, 4, 22, 4, 22, 4, 22, 4, 22, 4, 22, 4, 22, 4, 22, 4, 22 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 13 e = 44 f = 13
	degree seq :: [ 4^11, 22^2 ]

E10.171 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 11, 11})
Quotient :: dipole
Aut^+ = D22 (small group id <22, 1>)
Aut   = D44 (small group id <44, 3>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3 * Y2, R * Y2 * R * Y3^-1, (Y3^-1 * Y1)^2, (R * Y1)^2, Y2^11, (Y3 * Y2^-1)^11 ]
Map:: non-degenerate
	R = (1, 23, 2, 24)(3, 25, 6, 28)(4, 26, 5, 27)(7, 29, 10, 32)(8, 30, 9, 31)(11, 33, 14, 36)(12, 34, 13, 35)(15, 37, 18, 40)(16, 38, 17, 39)(19, 41, 22, 44)(20, 42, 21, 43)(45, 67, 47, 69, 51, 73, 55, 77, 59, 81, 63, 85, 64, 86, 60, 82, 56, 78, 52, 74, 48, 70)(46, 68, 49, 71, 53, 75, 57, 79, 61, 83, 65, 87, 66, 88, 62, 84, 58, 80, 54, 76, 50, 72)
	L = (1, 48)(2, 50)(3, 45)(4, 52)(5, 46)(6, 54)(7, 47)(8, 56)(9, 49)(10, 58)(11, 51)(12, 60)(13, 53)(14, 62)(15, 55)(16, 64)(17, 57)(18, 66)(19, 59)(20, 63)(21, 61)(22, 65)(23, 67)(24, 68)(25, 69)(26, 70)(27, 71)(28, 72)(29, 73)(30, 74)(31, 75)(32, 76)(33, 77)(34, 78)(35, 79)(36, 80)(37, 81)(38, 82)(39, 83)(40, 84)(41, 85)(42, 86)(43, 87)(44, 88)
	local type(s) :: { ( 4, 22, 4, 22 ), ( 4, 22, 4, 22, 4, 22, 4, 22, 4, 22, 4, 22, 4, 22, 4, 22, 4, 22, 4, 22, 4, 22 ) }
Outer automorphisms :: reflexible
Dual of E10.179
Graph:: bipartite
	v = 13 e = 44 f = 13
	degree seq :: [ 4^11, 22^2 ]

E10.172 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 11, 11})
Quotient :: dipole
Aut^+ = D22 (small group id <22, 1>)
Aut   = D44 (small group id <44, 3>)
|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^-2 * Y2^-1 * Y3^-3 ]
Map:: non-degenerate
	R = (1, 23, 2, 24)(3, 25, 9, 31)(4, 26, 10, 32)(5, 27, 7, 29)(6, 28, 8, 30)(11, 33, 17, 39)(12, 34, 18, 40)(13, 35, 15, 37)(14, 36, 16, 38)(19, 41, 22, 44)(20, 42, 21, 43)(45, 67, 47, 69, 48, 70, 55, 77, 56, 78, 63, 85, 64, 86, 58, 80, 57, 79, 50, 72, 49, 71)(46, 68, 51, 73, 52, 74, 59, 81, 60, 82, 65, 87, 66, 88, 62, 84, 61, 83, 54, 76, 53, 75)
	L = (1, 48)(2, 52)(3, 55)(4, 56)(5, 47)(6, 45)(7, 59)(8, 60)(9, 51)(10, 46)(11, 63)(12, 64)(13, 49)(14, 50)(15, 65)(16, 66)(17, 53)(18, 54)(19, 58)(20, 57)(21, 62)(22, 61)(23, 67)(24, 68)(25, 69)(26, 70)(27, 71)(28, 72)(29, 73)(30, 74)(31, 75)(32, 76)(33, 77)(34, 78)(35, 79)(36, 80)(37, 81)(38, 82)(39, 83)(40, 84)(41, 85)(42, 86)(43, 87)(44, 88)
	local type(s) :: { ( 4, 22, 4, 22 ), ( 4, 22, 4, 22, 4, 22, 4, 22, 4, 22, 4, 22, 4, 22, 4, 22, 4, 22, 4, 22, 4, 22 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 13 e = 44 f = 13
	degree seq :: [ 4^11, 22^2 ]

E10.173 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 11, 11})
Quotient :: dipole
Aut^+ = D22 (small group id <22, 1>)
Aut   = D44 (small group id <44, 3>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^2 * Y3, (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, (Y3^-1 * Y1)^2, (Y2 * Y1)^2, Y2 * Y3^-5, Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3^-1 ]
Map:: non-degenerate
	R = (1, 23, 2, 24)(3, 25, 9, 31)(4, 26, 10, 32)(5, 27, 7, 29)(6, 28, 8, 30)(11, 33, 17, 39)(12, 34, 18, 40)(13, 35, 15, 37)(14, 36, 16, 38)(19, 41, 22, 44)(20, 42, 21, 43)(45, 67, 47, 69, 50, 72, 55, 77, 58, 80, 63, 85, 64, 86, 56, 78, 57, 79, 48, 70, 49, 71)(46, 68, 51, 73, 54, 76, 59, 81, 62, 84, 65, 87, 66, 88, 60, 82, 61, 83, 52, 74, 53, 75)
	L = (1, 48)(2, 52)(3, 49)(4, 56)(5, 57)(6, 45)(7, 53)(8, 60)(9, 61)(10, 46)(11, 47)(12, 63)(13, 64)(14, 50)(15, 51)(16, 65)(17, 66)(18, 54)(19, 55)(20, 58)(21, 59)(22, 62)(23, 67)(24, 68)(25, 69)(26, 70)(27, 71)(28, 72)(29, 73)(30, 74)(31, 75)(32, 76)(33, 77)(34, 78)(35, 79)(36, 80)(37, 81)(38, 82)(39, 83)(40, 84)(41, 85)(42, 86)(43, 87)(44, 88)
	local type(s) :: { ( 4, 22, 4, 22 ), ( 4, 22, 4, 22, 4, 22, 4, 22, 4, 22, 4, 22, 4, 22, 4, 22, 4, 22, 4, 22, 4, 22 ) }
Outer automorphisms :: reflexible
Dual of E10.175
Graph:: bipartite
	v = 13 e = 44 f = 13
	degree seq :: [ 4^11, 22^2 ]

E10.174 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 11, 11})
Quotient :: dipole
Aut^+ = D22 (small group id <22, 1>)
Aut   = D44 (small group id <44, 3>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3 * Y2^-3, (R * Y2)^2, (R * Y3)^2, (R * Y1)^2, (Y3, Y2), (Y3^-1 * Y1)^2, (Y2^-1 * Y1)^2, Y3 * Y2^2 * Y3^2 ]
Map:: non-degenerate
	R = (1, 23, 2, 24)(3, 25, 9, 31)(4, 26, 10, 32)(5, 27, 7, 29)(6, 28, 8, 30)(11, 33, 19, 41)(12, 34, 21, 43)(13, 35, 17, 39)(14, 36, 22, 44)(15, 37, 18, 40)(16, 38, 20, 42)(45, 67, 47, 69, 55, 77, 48, 70, 56, 78, 60, 82, 58, 80, 59, 81, 50, 72, 57, 79, 49, 71)(46, 68, 51, 73, 61, 83, 52, 74, 62, 84, 66, 88, 64, 86, 65, 87, 54, 76, 63, 85, 53, 75)
	L = (1, 48)(2, 52)(3, 56)(4, 58)(5, 55)(6, 45)(7, 62)(8, 64)(9, 61)(10, 46)(11, 60)(12, 59)(13, 47)(14, 57)(15, 49)(16, 50)(17, 66)(18, 65)(19, 51)(20, 63)(21, 53)(22, 54)(23, 67)(24, 68)(25, 69)(26, 70)(27, 71)(28, 72)(29, 73)(30, 74)(31, 75)(32, 76)(33, 77)(34, 78)(35, 79)(36, 80)(37, 81)(38, 82)(39, 83)(40, 84)(41, 85)(42, 86)(43, 87)(44, 88)
	local type(s) :: { ( 4, 22, 4, 22 ), ( 4, 22, 4, 22, 4, 22, 4, 22, 4, 22, 4, 22, 4, 22, 4, 22, 4, 22, 4, 22, 4, 22 ) }
Outer automorphisms :: reflexible
Dual of E10.177
Graph:: bipartite
	v = 13 e = 44 f = 13
	degree seq :: [ 4^11, 22^2 ]

E10.175 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 11, 11})
Quotient :: dipole
Aut^+ = D22 (small group id <22, 1>)
Aut   = D44 (small group id <44, 3>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (Y2^-1, Y3), Y2^-2 * Y3^-1 * Y2^-1, (R * Y2)^2, (R * Y3)^2, (R * Y1)^2, (Y2^-1 * Y1)^2, (Y3^-1 * Y1)^2, Y3 * Y2^-2 * Y3^2 ]
Map:: non-degenerate
	R = (1, 23, 2, 24)(3, 25, 9, 31)(4, 26, 10, 32)(5, 27, 7, 29)(6, 28, 8, 30)(11, 33, 18, 40)(12, 34, 17, 39)(13, 35, 21, 43)(14, 36, 22, 44)(15, 37, 19, 41)(16, 38, 20, 42)(45, 67, 47, 69, 55, 77, 50, 72, 57, 79, 58, 80, 60, 82, 59, 81, 48, 70, 56, 78, 49, 71)(46, 68, 51, 73, 61, 83, 54, 76, 63, 85, 64, 86, 66, 88, 65, 87, 52, 74, 62, 84, 53, 75)
	L = (1, 48)(2, 52)(3, 56)(4, 58)(5, 59)(6, 45)(7, 62)(8, 64)(9, 65)(10, 46)(11, 49)(12, 60)(13, 47)(14, 55)(15, 57)(16, 50)(17, 53)(18, 66)(19, 51)(20, 61)(21, 63)(22, 54)(23, 67)(24, 68)(25, 69)(26, 70)(27, 71)(28, 72)(29, 73)(30, 74)(31, 75)(32, 76)(33, 77)(34, 78)(35, 79)(36, 80)(37, 81)(38, 82)(39, 83)(40, 84)(41, 85)(42, 86)(43, 87)(44, 88)
	local type(s) :: { ( 4, 22, 4, 22 ), ( 4, 22, 4, 22, 4, 22, 4, 22, 4, 22, 4, 22, 4, 22, 4, 22, 4, 22, 4, 22, 4, 22 ) }
Outer automorphisms :: reflexible
Dual of E10.173
Graph:: bipartite
	v = 13 e = 44 f = 13
	degree seq :: [ 4^11, 22^2 ]

E10.176 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 11, 11})
Quotient :: dipole
Aut^+ = D22 (small group id <22, 1>)
Aut   = D44 (small group id <44, 3>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^2 * Y2^-1 * Y3, (Y2, Y3^-1), (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, (Y3^-1 * Y1)^2, (Y2^-1 * Y1)^2, Y3 * Y2^2 * Y3 * Y2, Y2^2 * Y3^-1 * Y2^2 ]
Map:: non-degenerate
	R = (1, 23, 2, 24)(3, 25, 9, 31)(4, 26, 10, 32)(5, 27, 7, 29)(6, 28, 8, 30)(11, 33, 21, 43)(12, 34, 22, 44)(13, 35, 20, 42)(14, 36, 19, 41)(15, 37, 17, 39)(16, 38, 18, 40)(45, 67, 47, 69, 55, 77, 58, 80, 48, 70, 56, 78, 60, 82, 50, 72, 57, 79, 59, 81, 49, 71)(46, 68, 51, 73, 61, 83, 64, 86, 52, 74, 62, 84, 66, 88, 54, 76, 63, 85, 65, 87, 53, 75)
	L = (1, 48)(2, 52)(3, 56)(4, 57)(5, 58)(6, 45)(7, 62)(8, 63)(9, 64)(10, 46)(11, 60)(12, 59)(13, 47)(14, 50)(15, 55)(16, 49)(17, 66)(18, 65)(19, 51)(20, 54)(21, 61)(22, 53)(23, 67)(24, 68)(25, 69)(26, 70)(27, 71)(28, 72)(29, 73)(30, 74)(31, 75)(32, 76)(33, 77)(34, 78)(35, 79)(36, 80)(37, 81)(38, 82)(39, 83)(40, 84)(41, 85)(42, 86)(43, 87)(44, 88)
	local type(s) :: { ( 4, 22, 4, 22 ), ( 4, 22, 4, 22, 4, 22, 4, 22, 4, 22, 4, 22, 4, 22, 4, 22, 4, 22, 4, 22, 4, 22 ) }
Outer automorphisms :: reflexible
Dual of E10.178
Graph:: bipartite
	v = 13 e = 44 f = 13
	degree seq :: [ 4^11, 22^2 ]

E10.177 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 11, 11})
Quotient :: dipole
Aut^+ = D22 (small group id <22, 1>)
Aut   = D44 (small group id <44, 3>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^-1 * Y3^-3, (Y2, Y3^-1), (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, (Y3^-1 * Y1)^2, (Y2 * Y1)^2, Y3 * Y2^4, Y2^-1 * Y3^2 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 23, 2, 24)(3, 25, 9, 31)(4, 26, 10, 32)(5, 27, 7, 29)(6, 28, 8, 30)(11, 33, 22, 44)(12, 34, 20, 42)(13, 35, 21, 43)(14, 36, 18, 40)(15, 37, 19, 41)(16, 38, 17, 39)(45, 67, 47, 69, 55, 77, 58, 80, 50, 72, 57, 79, 59, 81, 48, 70, 56, 78, 60, 82, 49, 71)(46, 68, 51, 73, 61, 83, 64, 86, 54, 76, 63, 85, 65, 87, 52, 74, 62, 84, 66, 88, 53, 75)
	L = (1, 48)(2, 52)(3, 56)(4, 58)(5, 59)(6, 45)(7, 62)(8, 64)(9, 65)(10, 46)(11, 60)(12, 50)(13, 47)(14, 49)(15, 55)(16, 57)(17, 66)(18, 54)(19, 51)(20, 53)(21, 61)(22, 63)(23, 67)(24, 68)(25, 69)(26, 70)(27, 71)(28, 72)(29, 73)(30, 74)(31, 75)(32, 76)(33, 77)(34, 78)(35, 79)(36, 80)(37, 81)(38, 82)(39, 83)(40, 84)(41, 85)(42, 86)(43, 87)(44, 88)
	local type(s) :: { ( 4, 22, 4, 22 ), ( 4, 22, 4, 22, 4, 22, 4, 22, 4, 22, 4, 22, 4, 22, 4, 22, 4, 22, 4, 22, 4, 22 ) }
Outer automorphisms :: reflexible
Dual of E10.174
Graph:: bipartite
	v = 13 e = 44 f = 13
	degree seq :: [ 4^11, 22^2 ]

E10.178 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 11, 11})
Quotient :: dipole
Aut^+ = D22 (small group id <22, 1>)
Aut   = D44 (small group id <44, 3>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y2^-1 * Y3^-1, (R * Y2)^2, (R * Y3)^2, (Y3^-1 * Y1)^2, (R * Y1)^2, (Y2^-1 * Y1)^2, Y2^-2 * Y3 * Y2^-3 ]
Map:: non-degenerate
	R = (1, 23, 2, 24)(3, 25, 9, 31)(4, 26, 10, 32)(5, 27, 7, 29)(6, 28, 8, 30)(11, 33, 18, 40)(12, 34, 17, 39)(13, 35, 16, 38)(14, 36, 15, 37)(19, 41, 22, 44)(20, 42, 21, 43)(45, 67, 47, 69, 55, 77, 63, 85, 57, 79, 48, 70, 50, 72, 56, 78, 64, 86, 58, 80, 49, 71)(46, 68, 51, 73, 59, 81, 65, 87, 61, 83, 52, 74, 54, 76, 60, 82, 66, 88, 62, 84, 53, 75)
	L = (1, 48)(2, 52)(3, 50)(4, 49)(5, 57)(6, 45)(7, 54)(8, 53)(9, 61)(10, 46)(11, 56)(12, 47)(13, 58)(14, 63)(15, 60)(16, 51)(17, 62)(18, 65)(19, 64)(20, 55)(21, 66)(22, 59)(23, 67)(24, 68)(25, 69)(26, 70)(27, 71)(28, 72)(29, 73)(30, 74)(31, 75)(32, 76)(33, 77)(34, 78)(35, 79)(36, 80)(37, 81)(38, 82)(39, 83)(40, 84)(41, 85)(42, 86)(43, 87)(44, 88)
	local type(s) :: { ( 4, 22, 4, 22 ), ( 4, 22, 4, 22, 4, 22, 4, 22, 4, 22, 4, 22, 4, 22, 4, 22, 4, 22, 4, 22, 4, 22 ) }
Outer automorphisms :: reflexible
Dual of E10.176
Graph:: bipartite
	v = 13 e = 44 f = 13
	degree seq :: [ 4^11, 22^2 ]

E10.179 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 11, 11})
Quotient :: dipole
Aut^+ = D22 (small group id <22, 1>)
Aut   = D44 (small group id <44, 3>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2 * Y3^-2, (R * Y2)^2, (R * Y1)^2, (R * Y3)^2, (Y3^-1 * Y1)^2, (Y2^-1 * Y1)^2, Y2^-5 * Y3^-1 ]
Map:: non-degenerate
	R = (1, 23, 2, 24)(3, 25, 9, 31)(4, 26, 10, 32)(5, 27, 7, 29)(6, 28, 8, 30)(11, 33, 17, 39)(12, 34, 18, 40)(13, 35, 15, 37)(14, 36, 16, 38)(19, 41, 22, 44)(20, 42, 21, 43)(45, 67, 47, 69, 55, 77, 63, 85, 58, 80, 50, 72, 48, 70, 56, 78, 64, 86, 57, 79, 49, 71)(46, 68, 51, 73, 59, 81, 65, 87, 62, 84, 54, 76, 52, 74, 60, 82, 66, 88, 61, 83, 53, 75)
	L = (1, 48)(2, 52)(3, 56)(4, 47)(5, 50)(6, 45)(7, 60)(8, 51)(9, 54)(10, 46)(11, 64)(12, 55)(13, 58)(14, 49)(15, 66)(16, 59)(17, 62)(18, 53)(19, 57)(20, 63)(21, 61)(22, 65)(23, 67)(24, 68)(25, 69)(26, 70)(27, 71)(28, 72)(29, 73)(30, 74)(31, 75)(32, 76)(33, 77)(34, 78)(35, 79)(36, 80)(37, 81)(38, 82)(39, 83)(40, 84)(41, 85)(42, 86)(43, 87)(44, 88)
	local type(s) :: { ( 4, 22, 4, 22 ), ( 4, 22, 4, 22, 4, 22, 4, 22, 4, 22, 4, 22, 4, 22, 4, 22, 4, 22, 4, 22, 4, 22 ) }
Outer automorphisms :: reflexible
Dual of E10.171
Graph:: bipartite
	v = 13 e = 44 f = 13
	degree seq :: [ 4^11, 22^2 ]

E10.180 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {11, 22, 22})
Quotient :: edge
Aut^+ = C22 (small group id <22, 2>)
Aut   = D44 (small group id <44, 3>)
|r| :: 2
Presentation :: [ F^2, (T2, T1^-1), (F * T1)^2, (F * T2)^2, T1^2 * T2^-2, T2^4 * T1 * T2^6, T1^-1 * T2^-2 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 ]
Map:: non-degenerate
	R = (1, 3, 6, 12, 15, 20, 21, 18, 13, 10, 4, 8, 2, 7, 11, 16, 19, 22, 17, 14, 9, 5)(23, 24, 28, 33, 37, 41, 43, 39, 35, 31, 26)(25, 29, 34, 38, 42, 44, 40, 36, 32, 27, 30)
	L = (1, 23)(2, 24)(3, 25)(4, 26)(5, 27)(6, 28)(7, 29)(8, 30)(9, 31)(10, 32)(11, 33)(12, 34)(13, 35)(14, 36)(15, 37)(16, 38)(17, 39)(18, 40)(19, 41)(20, 42)(21, 43)(22, 44)
	local type(s) :: { ( 44^11 ), ( 44^22 ) }
Outer automorphisms :: reflexible
Dual of E10.200
Transitivity :: ET+
Graph:: bipartite
	v = 3 e = 22 f = 1
	degree seq :: [ 11^2, 22 ]

E10.181 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {11, 22, 22})
Quotient :: edge
Aut^+ = C22 (small group id <22, 2>)
Aut   = D44 (small group id <44, 3>)
|r| :: 2
Presentation :: [ F^2, (T2^-1, T1^-1), (F * T1)^2, (F * T2)^2, T2^-4 * T1, T1^2 * T2^2 * T1^3, T1 * T2 * T1^4 * T2 ]
Map:: non-degenerate
	R = (1, 3, 9, 8, 2, 7, 17, 16, 6, 15, 19, 22, 14, 20, 11, 18, 21, 12, 4, 10, 13, 5)(23, 24, 28, 36, 43, 35, 31, 39, 41, 33, 26)(25, 29, 37, 42, 34, 27, 30, 38, 44, 40, 32)
	L = (1, 23)(2, 24)(3, 25)(4, 26)(5, 27)(6, 28)(7, 29)(8, 30)(9, 31)(10, 32)(11, 33)(12, 34)(13, 35)(14, 36)(15, 37)(16, 38)(17, 39)(18, 40)(19, 41)(20, 42)(21, 43)(22, 44)
	local type(s) :: { ( 44^11 ), ( 44^22 ) }
Outer automorphisms :: reflexible
Dual of E10.198
Transitivity :: ET+
Graph:: bipartite
	v = 3 e = 22 f = 1
	degree seq :: [ 11^2, 22 ]

E10.182 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {11, 22, 22})
Quotient :: edge
Aut^+ = C22 (small group id <22, 2>)
Aut   = D44 (small group id <44, 3>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, (T1^-1, T2), T2 * T1 * T2^3, T2 * T1^2 * T2^-1 * T1^-2, T2 * T1^-1 * T2 * T1^-4 ]
Map:: non-degenerate
	R = (1, 3, 9, 12, 4, 10, 18, 21, 11, 19, 14, 22, 20, 16, 6, 15, 17, 8, 2, 7, 13, 5)(23, 24, 28, 36, 40, 31, 35, 39, 42, 33, 26)(25, 29, 37, 44, 43, 34, 27, 30, 38, 41, 32)
	L = (1, 23)(2, 24)(3, 25)(4, 26)(5, 27)(6, 28)(7, 29)(8, 30)(9, 31)(10, 32)(11, 33)(12, 34)(13, 35)(14, 36)(15, 37)(16, 38)(17, 39)(18, 40)(19, 41)(20, 42)(21, 43)(22, 44)
	local type(s) :: { ( 44^11 ), ( 44^22 ) }
Outer automorphisms :: reflexible
Dual of E10.201
Transitivity :: ET+
Graph:: bipartite
	v = 3 e = 22 f = 1
	degree seq :: [ 11^2, 22 ]

E10.183 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {11, 22, 22})
Quotient :: edge
Aut^+ = C22 (small group id <22, 2>)
Aut   = D44 (small group id <44, 3>)
|r| :: 2
Presentation :: [ F^2, T2^2 * T1, (F * T2)^2, (F * T1)^2, T1^11 ]
Map:: non-degenerate
	R = (1, 3, 4, 8, 9, 12, 13, 16, 17, 20, 21, 22, 18, 19, 14, 15, 10, 11, 6, 7, 2, 5)(23, 24, 28, 32, 36, 40, 43, 39, 35, 31, 26)(25, 27, 29, 33, 37, 41, 44, 42, 38, 34, 30)
	L = (1, 23)(2, 24)(3, 25)(4, 26)(5, 27)(6, 28)(7, 29)(8, 30)(9, 31)(10, 32)(11, 33)(12, 34)(13, 35)(14, 36)(15, 37)(16, 38)(17, 39)(18, 40)(19, 41)(20, 42)(21, 43)(22, 44)
	local type(s) :: { ( 44^11 ), ( 44^22 ) }
Outer automorphisms :: reflexible
Dual of E10.196
Transitivity :: ET+
Graph:: bipartite
	v = 3 e = 22 f = 1
	degree seq :: [ 11^2, 22 ]

E10.184 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {11, 22, 22})
Quotient :: edge
Aut^+ = C22 (small group id <22, 2>)
Aut   = D44 (small group id <44, 3>)
|r| :: 2
Presentation :: [ F^2, T2 * T1^-1 * T2, (F * T1)^2, (F * T2)^2, T1^11, (T2^-1 * T1^-1)^22 ]
Map:: non-degenerate
	R = (1, 3, 2, 7, 6, 11, 10, 15, 14, 19, 18, 22, 20, 21, 16, 17, 12, 13, 8, 9, 4, 5)(23, 24, 28, 32, 36, 40, 42, 38, 34, 30, 26)(25, 29, 33, 37, 41, 44, 43, 39, 35, 31, 27)
	L = (1, 23)(2, 24)(3, 25)(4, 26)(5, 27)(6, 28)(7, 29)(8, 30)(9, 31)(10, 32)(11, 33)(12, 34)(13, 35)(14, 36)(15, 37)(16, 38)(17, 39)(18, 40)(19, 41)(20, 42)(21, 43)(22, 44)
	local type(s) :: { ( 44^11 ), ( 44^22 ) }
Outer automorphisms :: reflexible
Dual of E10.199
Transitivity :: ET+
Graph:: bipartite
	v = 3 e = 22 f = 1
	degree seq :: [ 11^2, 22 ]

E10.185 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {11, 22, 22})
Quotient :: edge
Aut^+ = C22 (small group id <22, 2>)
Aut   = D44 (small group id <44, 3>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, (T2^-1, T1^-1), T1 * T2^-1 * T1 * T2^-1 * T1, T1^2 * T2 * T1 * T2^-3, T1 * T2 * T1 * T2^5 ]
Map:: non-degenerate
	R = (1, 3, 9, 16, 22, 17, 11, 8, 2, 7, 15, 21, 18, 12, 4, 10, 6, 14, 20, 19, 13, 5)(23, 24, 28, 31, 37, 42, 44, 40, 35, 33, 26)(25, 29, 36, 38, 43, 41, 39, 34, 27, 30, 32)
	L = (1, 23)(2, 24)(3, 25)(4, 26)(5, 27)(6, 28)(7, 29)(8, 30)(9, 31)(10, 32)(11, 33)(12, 34)(13, 35)(14, 36)(15, 37)(16, 38)(17, 39)(18, 40)(19, 41)(20, 42)(21, 43)(22, 44)
	local type(s) :: { ( 44^11 ), ( 44^22 ) }
Outer automorphisms :: reflexible
Dual of E10.194
Transitivity :: ET+
Graph:: bipartite
	v = 3 e = 22 f = 1
	degree seq :: [ 11^2, 22 ]

E10.186 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {11, 22, 22})
Quotient :: edge
Aut^+ = C22 (small group id <22, 2>)
Aut   = D44 (small group id <44, 3>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, (T2^-1, T1^-1), T2^2 * T1^3, T2^6 * T1^-2, T1^2 * T2^-6, T2^-1 * T1 * T2^-5 * T1 ]
Map:: non-degenerate
	R = (1, 3, 9, 16, 20, 14, 6, 12, 4, 10, 17, 21, 15, 8, 2, 7, 11, 18, 22, 19, 13, 5)(23, 24, 28, 35, 37, 42, 44, 39, 31, 33, 26)(25, 29, 34, 27, 30, 36, 41, 43, 38, 40, 32)
	L = (1, 23)(2, 24)(3, 25)(4, 26)(5, 27)(6, 28)(7, 29)(8, 30)(9, 31)(10, 32)(11, 33)(12, 34)(13, 35)(14, 36)(15, 37)(16, 38)(17, 39)(18, 40)(19, 41)(20, 42)(21, 43)(22, 44)
	local type(s) :: { ( 44^11 ), ( 44^22 ) }
Outer automorphisms :: reflexible
Dual of E10.197
Transitivity :: ET+
Graph:: bipartite
	v = 3 e = 22 f = 1
	degree seq :: [ 11^2, 22 ]

E10.187 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {11, 22, 22})
Quotient :: edge
Aut^+ = C22 (small group id <22, 2>)
Aut   = D44 (small group id <44, 3>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, (T2, T1), T2^-2 * T1^-4, T2^-4 * T1^3 ]
Map:: non-degenerate
	R = (1, 3, 9, 19, 14, 12, 4, 10, 20, 16, 6, 15, 11, 21, 18, 8, 2, 7, 17, 22, 13, 5)(23, 24, 28, 36, 35, 40, 42, 31, 39, 33, 26)(25, 29, 37, 34, 27, 30, 38, 41, 44, 43, 32)
	L = (1, 23)(2, 24)(3, 25)(4, 26)(5, 27)(6, 28)(7, 29)(8, 30)(9, 31)(10, 32)(11, 33)(12, 34)(13, 35)(14, 36)(15, 37)(16, 38)(17, 39)(18, 40)(19, 41)(20, 42)(21, 43)(22, 44)
	local type(s) :: { ( 44^11 ), ( 44^22 ) }
Outer automorphisms :: reflexible
Dual of E10.193
Transitivity :: ET+
Graph:: bipartite
	v = 3 e = 22 f = 1
	degree seq :: [ 11^2, 22 ]

E10.188 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {11, 22, 22})
Quotient :: edge
Aut^+ = C22 (small group id <22, 2>)
Aut   = D44 (small group id <44, 3>)
|r| :: 2
Presentation :: [ F^2, (T1, T2^-1), (F * T1)^2, (F * T2)^2, T1^-1 * T2^-1 * T1^2 * T2 * T1^-1, T1^-1 * T2 * T1^-3 * T2, T1 * T2 * T1 * T2^3 * T1 ]
Map:: non-degenerate
	R = (1, 3, 9, 19, 18, 8, 2, 7, 17, 20, 11, 16, 6, 15, 21, 12, 4, 10, 14, 22, 13, 5)(23, 24, 28, 36, 31, 39, 43, 35, 40, 33, 26)(25, 29, 37, 44, 41, 42, 34, 27, 30, 38, 32)
	L = (1, 23)(2, 24)(3, 25)(4, 26)(5, 27)(6, 28)(7, 29)(8, 30)(9, 31)(10, 32)(11, 33)(12, 34)(13, 35)(14, 36)(15, 37)(16, 38)(17, 39)(18, 40)(19, 41)(20, 42)(21, 43)(22, 44)
	local type(s) :: { ( 44^11 ), ( 44^22 ) }
Outer automorphisms :: reflexible
Dual of E10.195
Transitivity :: ET+
Graph:: bipartite
	v = 3 e = 22 f = 1
	degree seq :: [ 11^2, 22 ]

E10.189 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {11, 22, 22})
Quotient :: edge
Aut^+ = C22 (small group id <22, 2>)
Aut   = D44 (small group id <44, 3>)
|r| :: 2
Presentation :: [ F^2, T2 * T1^-3, (F * T1)^2, (F * T2)^2, T1 * T2^7, (T2^-1 * T1^-1)^11 ]
Map:: non-degenerate
	R = (1, 3, 9, 15, 21, 16, 10, 4, 6, 12, 18, 22, 20, 14, 8, 2, 7, 13, 19, 17, 11, 5)(23, 24, 28, 25, 29, 34, 31, 35, 40, 37, 41, 44, 43, 39, 42, 38, 33, 36, 32, 27, 30, 26)
	L = (1, 23)(2, 24)(3, 25)(4, 26)(5, 27)(6, 28)(7, 29)(8, 30)(9, 31)(10, 32)(11, 33)(12, 34)(13, 35)(14, 36)(15, 37)(16, 38)(17, 39)(18, 40)(19, 41)(20, 42)(21, 43)(22, 44)
	local type(s) :: { ( 22^22 ) }
Outer automorphisms :: reflexible
Dual of E10.205
Transitivity :: ET+
Graph:: bipartite
	v = 2 e = 22 f = 2
	degree seq :: [ 22^2 ]

E10.190 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {11, 22, 22})
Quotient :: edge
Aut^+ = C22 (small group id <22, 2>)
Aut   = D44 (small group id <44, 3>)
|r| :: 2
Presentation :: [ F^2, T1^-2 * T2^-1 * T1^-1, (F * T1)^2, (F * T2)^2, T2^-7 * T1 ]
Map:: non-degenerate
	R = (1, 3, 9, 15, 20, 14, 8, 2, 7, 13, 19, 22, 18, 12, 6, 4, 10, 16, 21, 17, 11, 5)(23, 24, 28, 27, 30, 34, 33, 36, 40, 39, 42, 44, 43, 37, 41, 38, 31, 35, 32, 25, 29, 26)
	L = (1, 23)(2, 24)(3, 25)(4, 26)(5, 27)(6, 28)(7, 29)(8, 30)(9, 31)(10, 32)(11, 33)(12, 34)(13, 35)(14, 36)(15, 37)(16, 38)(17, 39)(18, 40)(19, 41)(20, 42)(21, 43)(22, 44)
	local type(s) :: { ( 22^22 ) }
Outer automorphisms :: reflexible
Dual of E10.203
Transitivity :: ET+
Graph:: bipartite
	v = 2 e = 22 f = 2
	degree seq :: [ 22^2 ]

E10.191 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {11, 22, 22})
Quotient :: edge
Aut^+ = C22 (small group id <22, 2>)
Aut   = D44 (small group id <44, 3>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, (T1, T2), T1^-5 * T2, T2^-1 * T1^-1 * T2^-3 * T1^-1, T1^-2 * T2^5 * T1^-1 ]
Map:: non-degenerate
	R = (1, 3, 9, 19, 11, 14, 21, 18, 8, 2, 7, 17, 12, 4, 10, 20, 22, 16, 6, 15, 13, 5)(23, 24, 28, 36, 32, 25, 29, 37, 43, 42, 31, 39, 35, 40, 44, 41, 34, 27, 30, 38, 33, 26)
	L = (1, 23)(2, 24)(3, 25)(4, 26)(5, 27)(6, 28)(7, 29)(8, 30)(9, 31)(10, 32)(11, 33)(12, 34)(13, 35)(14, 36)(15, 37)(16, 38)(17, 39)(18, 40)(19, 41)(20, 42)(21, 43)(22, 44)
	local type(s) :: { ( 22^22 ) }
Outer automorphisms :: reflexible
Dual of E10.202
Transitivity :: ET+
Graph:: bipartite
	v = 2 e = 22 f = 2
	degree seq :: [ 22^2 ]

E10.192 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {11, 22, 22})
Quotient :: edge
Aut^+ = C22 (small group id <22, 2>)
Aut   = D44 (small group id <44, 3>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, (T2^-1, T1), T1^-1 * T2^3 * T1^-1 * T2, T1^-1 * T2^-1 * T1^-4, T1^-1 * T2^-2 * 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, 16, 6, 15, 22, 20, 12, 4, 10, 18, 8, 2, 7, 17, 21, 14, 11, 19, 13, 5)(23, 24, 28, 36, 34, 27, 30, 38, 43, 42, 35, 40, 31, 39, 44, 41, 32, 25, 29, 37, 33, 26)
	L = (1, 23)(2, 24)(3, 25)(4, 26)(5, 27)(6, 28)(7, 29)(8, 30)(9, 31)(10, 32)(11, 33)(12, 34)(13, 35)(14, 36)(15, 37)(16, 38)(17, 39)(18, 40)(19, 41)(20, 42)(21, 43)(22, 44)
	local type(s) :: { ( 22^22 ) }
Outer automorphisms :: reflexible
Dual of E10.204
Transitivity :: ET+
Graph:: bipartite
	v = 2 e = 22 f = 2
	degree seq :: [ 22^2 ]

E10.193 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {11, 22, 22})
Quotient :: loop
Aut^+ = C22 (small group id <22, 2>)
Aut   = D44 (small group id <44, 3>)
|r| :: 2
Presentation :: [ F^2, (T2, T1^-1), (F * T1)^2, (F * T2)^2, T1^2 * T2^-2, T2^4 * T1 * T2^6, T1^-1 * T2^-2 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 ]
Map:: non-degenerate
	R = (1, 23, 3, 25, 6, 28, 12, 34, 15, 37, 20, 42, 21, 43, 18, 40, 13, 35, 10, 32, 4, 26, 8, 30, 2, 24, 7, 29, 11, 33, 16, 38, 19, 41, 22, 44, 17, 39, 14, 36, 9, 31, 5, 27)
	L = (1, 24)(2, 28)(3, 29)(4, 23)(5, 30)(6, 33)(7, 34)(8, 25)(9, 26)(10, 27)(11, 37)(12, 38)(13, 31)(14, 32)(15, 41)(16, 42)(17, 35)(18, 36)(19, 43)(20, 44)(21, 39)(22, 40)
	local type(s) :: { ( 11, 22, 11, 22, 11, 22, 11, 22, 11, 22, 11, 22, 11, 22, 11, 22, 11, 22, 11, 22, 11, 22, 11, 22, 11, 22, 11, 22, 11, 22, 11, 22, 11, 22, 11, 22, 11, 22, 11, 22, 11, 22, 11, 22 ) }
Outer automorphisms :: reflexible
Dual of E10.187
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 22 f = 3
	degree seq :: [ 44 ]

E10.194 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {11, 22, 22})
Quotient :: loop
Aut^+ = C22 (small group id <22, 2>)
Aut   = D44 (small group id <44, 3>)
|r| :: 2
Presentation :: [ F^2, (T2^-1, T1^-1), (F * T1)^2, (F * T2)^2, T2^-4 * T1, T1^2 * T2^2 * T1^3, T1 * T2 * T1^4 * T2 ]
Map:: non-degenerate
	R = (1, 23, 3, 25, 9, 31, 8, 30, 2, 24, 7, 29, 17, 39, 16, 38, 6, 28, 15, 37, 19, 41, 22, 44, 14, 36, 20, 42, 11, 33, 18, 40, 21, 43, 12, 34, 4, 26, 10, 32, 13, 35, 5, 27)
	L = (1, 24)(2, 28)(3, 29)(4, 23)(5, 30)(6, 36)(7, 37)(8, 38)(9, 39)(10, 25)(11, 26)(12, 27)(13, 31)(14, 43)(15, 42)(16, 44)(17, 41)(18, 32)(19, 33)(20, 34)(21, 35)(22, 40)
	local type(s) :: { ( 11, 22, 11, 22, 11, 22, 11, 22, 11, 22, 11, 22, 11, 22, 11, 22, 11, 22, 11, 22, 11, 22, 11, 22, 11, 22, 11, 22, 11, 22, 11, 22, 11, 22, 11, 22, 11, 22, 11, 22, 11, 22, 11, 22 ) }
Outer automorphisms :: reflexible
Dual of E10.185
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 22 f = 3
	degree seq :: [ 44 ]

E10.195 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {11, 22, 22})
Quotient :: loop
Aut^+ = C22 (small group id <22, 2>)
Aut   = D44 (small group id <44, 3>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, (T1^-1, T2), T2 * T1 * T2^3, T2 * T1^2 * T2^-1 * T1^-2, T2 * T1^-1 * T2 * T1^-4 ]
Map:: non-degenerate
	R = (1, 23, 3, 25, 9, 31, 12, 34, 4, 26, 10, 32, 18, 40, 21, 43, 11, 33, 19, 41, 14, 36, 22, 44, 20, 42, 16, 38, 6, 28, 15, 37, 17, 39, 8, 30, 2, 24, 7, 29, 13, 35, 5, 27)
	L = (1, 24)(2, 28)(3, 29)(4, 23)(5, 30)(6, 36)(7, 37)(8, 38)(9, 35)(10, 25)(11, 26)(12, 27)(13, 39)(14, 40)(15, 44)(16, 41)(17, 42)(18, 31)(19, 32)(20, 33)(21, 34)(22, 43)
	local type(s) :: { ( 11, 22, 11, 22, 11, 22, 11, 22, 11, 22, 11, 22, 11, 22, 11, 22, 11, 22, 11, 22, 11, 22, 11, 22, 11, 22, 11, 22, 11, 22, 11, 22, 11, 22, 11, 22, 11, 22, 11, 22, 11, 22, 11, 22 ) }
Outer automorphisms :: reflexible
Dual of E10.188
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 22 f = 3
	degree seq :: [ 44 ]

E10.196 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {11, 22, 22})
Quotient :: loop
Aut^+ = C22 (small group id <22, 2>)
Aut   = D44 (small group id <44, 3>)
|r| :: 2
Presentation :: [ F^2, T2^2 * T1, (F * T2)^2, (F * T1)^2, T1^11 ]
Map:: non-degenerate
	R = (1, 23, 3, 25, 4, 26, 8, 30, 9, 31, 12, 34, 13, 35, 16, 38, 17, 39, 20, 42, 21, 43, 22, 44, 18, 40, 19, 41, 14, 36, 15, 37, 10, 32, 11, 33, 6, 28, 7, 29, 2, 24, 5, 27)
	L = (1, 24)(2, 28)(3, 27)(4, 23)(5, 29)(6, 32)(7, 33)(8, 25)(9, 26)(10, 36)(11, 37)(12, 30)(13, 31)(14, 40)(15, 41)(16, 34)(17, 35)(18, 43)(19, 44)(20, 38)(21, 39)(22, 42)
	local type(s) :: { ( 11, 22, 11, 22, 11, 22, 11, 22, 11, 22, 11, 22, 11, 22, 11, 22, 11, 22, 11, 22, 11, 22, 11, 22, 11, 22, 11, 22, 11, 22, 11, 22, 11, 22, 11, 22, 11, 22, 11, 22, 11, 22, 11, 22 ) }
Outer automorphisms :: reflexible
Dual of E10.183
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 22 f = 3
	degree seq :: [ 44 ]

E10.197 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {11, 22, 22})
Quotient :: loop
Aut^+ = C22 (small group id <22, 2>)
Aut   = D44 (small group id <44, 3>)
|r| :: 2
Presentation :: [ F^2, T2 * T1^-1 * T2, (F * T1)^2, (F * T2)^2, T1^11, (T2^-1 * T1^-1)^22 ]
Map:: non-degenerate
	R = (1, 23, 3, 25, 2, 24, 7, 29, 6, 28, 11, 33, 10, 32, 15, 37, 14, 36, 19, 41, 18, 40, 22, 44, 20, 42, 21, 43, 16, 38, 17, 39, 12, 34, 13, 35, 8, 30, 9, 31, 4, 26, 5, 27)
	L = (1, 24)(2, 28)(3, 29)(4, 23)(5, 25)(6, 32)(7, 33)(8, 26)(9, 27)(10, 36)(11, 37)(12, 30)(13, 31)(14, 40)(15, 41)(16, 34)(17, 35)(18, 42)(19, 44)(20, 38)(21, 39)(22, 43)
	local type(s) :: { ( 11, 22, 11, 22, 11, 22, 11, 22, 11, 22, 11, 22, 11, 22, 11, 22, 11, 22, 11, 22, 11, 22, 11, 22, 11, 22, 11, 22, 11, 22, 11, 22, 11, 22, 11, 22, 11, 22, 11, 22, 11, 22, 11, 22 ) }
Outer automorphisms :: reflexible
Dual of E10.186
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 22 f = 3
	degree seq :: [ 44 ]

E10.198 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {11, 22, 22})
Quotient :: loop
Aut^+ = C22 (small group id <22, 2>)
Aut   = D44 (small group id <44, 3>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, (T2^-1, T1^-1), T1 * T2^-1 * T1 * T2^-1 * T1, T1^2 * T2 * T1 * T2^-3, T1 * T2 * T1 * T2^5 ]
Map:: non-degenerate
	R = (1, 23, 3, 25, 9, 31, 16, 38, 22, 44, 17, 39, 11, 33, 8, 30, 2, 24, 7, 29, 15, 37, 21, 43, 18, 40, 12, 34, 4, 26, 10, 32, 6, 28, 14, 36, 20, 42, 19, 41, 13, 35, 5, 27)
	L = (1, 24)(2, 28)(3, 29)(4, 23)(5, 30)(6, 31)(7, 36)(8, 32)(9, 37)(10, 25)(11, 26)(12, 27)(13, 33)(14, 38)(15, 42)(16, 43)(17, 34)(18, 35)(19, 39)(20, 44)(21, 41)(22, 40)
	local type(s) :: { ( 11, 22, 11, 22, 11, 22, 11, 22, 11, 22, 11, 22, 11, 22, 11, 22, 11, 22, 11, 22, 11, 22, 11, 22, 11, 22, 11, 22, 11, 22, 11, 22, 11, 22, 11, 22, 11, 22, 11, 22, 11, 22, 11, 22 ) }
Outer automorphisms :: reflexible
Dual of E10.181
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 22 f = 3
	degree seq :: [ 44 ]

E10.199 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {11, 22, 22})
Quotient :: loop
Aut^+ = C22 (small group id <22, 2>)
Aut   = D44 (small group id <44, 3>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, (T2^-1, T1^-1), T2^2 * T1^3, T2^6 * T1^-2, T1^2 * T2^-6, T2^-1 * T1 * T2^-5 * T1 ]
Map:: non-degenerate
	R = (1, 23, 3, 25, 9, 31, 16, 38, 20, 42, 14, 36, 6, 28, 12, 34, 4, 26, 10, 32, 17, 39, 21, 43, 15, 37, 8, 30, 2, 24, 7, 29, 11, 33, 18, 40, 22, 44, 19, 41, 13, 35, 5, 27)
	L = (1, 24)(2, 28)(3, 29)(4, 23)(5, 30)(6, 35)(7, 34)(8, 36)(9, 33)(10, 25)(11, 26)(12, 27)(13, 37)(14, 41)(15, 42)(16, 40)(17, 31)(18, 32)(19, 43)(20, 44)(21, 38)(22, 39)
	local type(s) :: { ( 11, 22, 11, 22, 11, 22, 11, 22, 11, 22, 11, 22, 11, 22, 11, 22, 11, 22, 11, 22, 11, 22, 11, 22, 11, 22, 11, 22, 11, 22, 11, 22, 11, 22, 11, 22, 11, 22, 11, 22, 11, 22, 11, 22 ) }
Outer automorphisms :: reflexible
Dual of E10.184
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 22 f = 3
	degree seq :: [ 44 ]

E10.200 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {11, 22, 22})
Quotient :: loop
Aut^+ = C22 (small group id <22, 2>)
Aut   = D44 (small group id <44, 3>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, (T2, T1), T2^-2 * T1^-4, T2^-4 * T1^3 ]
Map:: non-degenerate
	R = (1, 23, 3, 25, 9, 31, 19, 41, 14, 36, 12, 34, 4, 26, 10, 32, 20, 42, 16, 38, 6, 28, 15, 37, 11, 33, 21, 43, 18, 40, 8, 30, 2, 24, 7, 29, 17, 39, 22, 44, 13, 35, 5, 27)
	L = (1, 24)(2, 28)(3, 29)(4, 23)(5, 30)(6, 36)(7, 37)(8, 38)(9, 39)(10, 25)(11, 26)(12, 27)(13, 40)(14, 35)(15, 34)(16, 41)(17, 33)(18, 42)(19, 44)(20, 31)(21, 32)(22, 43)
	local type(s) :: { ( 11, 22, 11, 22, 11, 22, 11, 22, 11, 22, 11, 22, 11, 22, 11, 22, 11, 22, 11, 22, 11, 22, 11, 22, 11, 22, 11, 22, 11, 22, 11, 22, 11, 22, 11, 22, 11, 22, 11, 22, 11, 22, 11, 22 ) }
Outer automorphisms :: reflexible
Dual of E10.180
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 22 f = 3
	degree seq :: [ 44 ]

E10.201 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {11, 22, 22})
Quotient :: loop
Aut^+ = C22 (small group id <22, 2>)
Aut   = D44 (small group id <44, 3>)
|r| :: 2
Presentation :: [ F^2, (T1, T2^-1), (F * T1)^2, (F * T2)^2, T1^-1 * T2^-1 * T1^2 * T2 * T1^-1, T1^-1 * T2 * T1^-3 * T2, T1 * T2 * T1 * T2^3 * T1 ]
Map:: non-degenerate
	R = (1, 23, 3, 25, 9, 31, 19, 41, 18, 40, 8, 30, 2, 24, 7, 29, 17, 39, 20, 42, 11, 33, 16, 38, 6, 28, 15, 37, 21, 43, 12, 34, 4, 26, 10, 32, 14, 36, 22, 44, 13, 35, 5, 27)
	L = (1, 24)(2, 28)(3, 29)(4, 23)(5, 30)(6, 36)(7, 37)(8, 38)(9, 39)(10, 25)(11, 26)(12, 27)(13, 40)(14, 31)(15, 44)(16, 32)(17, 43)(18, 33)(19, 42)(20, 34)(21, 35)(22, 41)
	local type(s) :: { ( 11, 22, 11, 22, 11, 22, 11, 22, 11, 22, 11, 22, 11, 22, 11, 22, 11, 22, 11, 22, 11, 22, 11, 22, 11, 22, 11, 22, 11, 22, 11, 22, 11, 22, 11, 22, 11, 22, 11, 22, 11, 22, 11, 22 ) }
Outer automorphisms :: reflexible
Dual of E10.182
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 22 f = 3
	degree seq :: [ 44 ]

E10.202 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {11, 22, 22})
Quotient :: loop
Aut^+ = C22 (small group id <22, 2>)
Aut   = D44 (small group id <44, 3>)
|r| :: 2
Presentation :: [ F^2, T2^2 * T1^-2, (T2 * T1^-1)^2, (T2, T1^-1), (F * T1)^2, (F * T2)^2, T2^-1 * T1^2 * T2^-1, T1^2 * T2^9, T1^-1 * T2^-2 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 ]
Map:: non-degenerate
	R = (1, 23, 3, 25, 6, 28, 12, 34, 15, 37, 20, 42, 22, 44, 17, 39, 14, 36, 9, 31, 5, 27)(2, 24, 7, 29, 11, 33, 16, 38, 19, 41, 21, 43, 18, 40, 13, 35, 10, 32, 4, 26, 8, 30)
	L = (1, 24)(2, 28)(3, 29)(4, 23)(5, 30)(6, 33)(7, 34)(8, 25)(9, 26)(10, 27)(11, 37)(12, 38)(13, 31)(14, 32)(15, 41)(16, 42)(17, 35)(18, 36)(19, 44)(20, 43)(21, 39)(22, 40)
	local type(s) :: { ( 22^22 ) }
Outer automorphisms :: reflexible
Dual of E10.191
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 2 e = 22 f = 2
	degree seq :: [ 22^2 ]

E10.203 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {11, 22, 22})
Quotient :: loop
Aut^+ = C22 (small group id <22, 2>)
Aut   = D44 (small group id <44, 3>)
|r| :: 2
Presentation :: [ F^2, T1^-2 * T2, (F * T2)^2, (F * T1)^2, T2^11, (T2^-1 * T1^-1)^22 ]
Map:: non-degenerate
	R = (1, 23, 3, 25, 7, 29, 11, 33, 15, 37, 19, 41, 21, 43, 17, 39, 13, 35, 9, 31, 5, 27)(2, 24, 6, 28, 10, 32, 14, 36, 18, 40, 22, 44, 20, 42, 16, 38, 12, 34, 8, 30, 4, 26)
	L = (1, 24)(2, 25)(3, 28)(4, 23)(5, 26)(6, 29)(7, 32)(8, 27)(9, 30)(10, 33)(11, 36)(12, 31)(13, 34)(14, 37)(15, 40)(16, 35)(17, 38)(18, 41)(19, 44)(20, 39)(21, 42)(22, 43)
	local type(s) :: { ( 22^22 ) }
Outer automorphisms :: reflexible
Dual of E10.190
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 2 e = 22 f = 2
	degree seq :: [ 22^2 ]

E10.204 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {11, 22, 22})
Quotient :: loop
Aut^+ = C22 (small group id <22, 2>)
Aut   = D44 (small group id <44, 3>)
|r| :: 2
Presentation :: [ F^2, (T2, T1), (F * T1)^2, (F * T2)^2, T2^-1 * T1 * T2^-2 * T1, T1 * T2 * T1^5 * T2 ]
Map:: non-degenerate
	R = (1, 23, 3, 25, 9, 31, 6, 28, 15, 37, 22, 44, 20, 42, 18, 40, 11, 33, 13, 35, 5, 27)(2, 24, 7, 29, 16, 38, 14, 36, 21, 43, 17, 39, 19, 41, 12, 34, 4, 26, 10, 32, 8, 30)
	L = (1, 24)(2, 28)(3, 29)(4, 23)(5, 30)(6, 36)(7, 37)(8, 31)(9, 38)(10, 25)(11, 26)(12, 27)(13, 32)(14, 42)(15, 43)(16, 44)(17, 33)(18, 34)(19, 35)(20, 41)(21, 40)(22, 39)
	local type(s) :: { ( 22^22 ) }
Outer automorphisms :: reflexible
Dual of E10.192
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 2 e = 22 f = 2
	degree seq :: [ 22^2 ]

E10.205 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {11, 22, 22})
Quotient :: loop
Aut^+ = C22 (small group id <22, 2>)
Aut   = D44 (small group id <44, 3>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, (T2^-1, T1^-1), T1^4 * T2, T1 * T2^-3 * T1 * T2^-2 ]
Map:: non-degenerate
	R = (1, 23, 3, 25, 9, 31, 17, 39, 14, 36, 6, 28, 11, 33, 19, 41, 21, 43, 13, 35, 5, 27)(2, 24, 7, 29, 15, 37, 22, 44, 20, 42, 12, 34, 4, 26, 10, 32, 18, 40, 16, 38, 8, 30)
	L = (1, 24)(2, 28)(3, 29)(4, 23)(5, 30)(6, 34)(7, 33)(8, 36)(9, 37)(10, 25)(11, 26)(12, 27)(13, 38)(14, 42)(15, 41)(16, 39)(17, 44)(18, 31)(19, 32)(20, 35)(21, 40)(22, 43)
	local type(s) :: { ( 22^22 ) }
Outer automorphisms :: reflexible
Dual of E10.189
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 2 e = 22 f = 2
	degree seq :: [ 22^2 ]

E10.206 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {11, 22, 22})
Quotient :: dipole
Aut^+ = C22 (small group id <22, 2>)
Aut   = D44 (small group id <44, 3>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y3^-1, (Y2^-1, Y1^-1), (R * Y1)^2, Y2 * Y3 * Y1^-1 * Y2, Y2 * Y3 * Y2 * Y1^-1, (R * Y3)^2, (R * Y2)^2, Y1^4 * Y2 * Y1 * Y2 * Y3^-4, Y1^11, (Y1 * Y3^-1)^11, (Y3 * Y2^-1)^22 ]
Map::
	R = (1, 23, 2, 24, 6, 28, 11, 33, 15, 37, 19, 41, 21, 43, 17, 39, 13, 35, 9, 31, 4, 26)(3, 25, 7, 29, 12, 34, 16, 38, 20, 42, 22, 44, 18, 40, 14, 36, 10, 32, 5, 27, 8, 30)(45, 67, 47, 69, 50, 72, 56, 78, 59, 81, 64, 86, 65, 87, 62, 84, 57, 79, 54, 76, 48, 70, 52, 74, 46, 68, 51, 73, 55, 77, 60, 82, 63, 85, 66, 88, 61, 83, 58, 80, 53, 75, 49, 71)
	L = (1, 48)(2, 45)(3, 52)(4, 53)(5, 54)(6, 46)(7, 47)(8, 49)(9, 57)(10, 58)(11, 50)(12, 51)(13, 61)(14, 62)(15, 55)(16, 56)(17, 65)(18, 66)(19, 59)(20, 60)(21, 63)(22, 64)(23, 67)(24, 68)(25, 69)(26, 70)(27, 71)(28, 72)(29, 73)(30, 74)(31, 75)(32, 76)(33, 77)(34, 78)(35, 79)(36, 80)(37, 81)(38, 82)(39, 83)(40, 84)(41, 85)(42, 86)(43, 87)(44, 88)
	local type(s) :: { ( 2, 44, 2, 44, 2, 44, 2, 44, 2, 44, 2, 44, 2, 44, 2, 44, 2, 44, 2, 44, 2, 44 ), ( 2, 44, 2, 44, 2, 44, 2, 44, 2, 44, 2, 44, 2, 44, 2, 44, 2, 44, 2, 44, 2, 44, 2, 44, 2, 44, 2, 44, 2, 44, 2, 44, 2, 44, 2, 44, 2, 44, 2, 44, 2, 44, 2, 44 ) }
Outer automorphisms :: reflexible
Dual of E10.230
Graph:: bipartite
	v = 3 e = 44 f = 23
	degree seq :: [ 22^2, 44 ]

E10.207 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {11, 22, 22})
Quotient :: dipole
Aut^+ = C22 (small group id <22, 2>)
Aut   = D44 (small group id <44, 3>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1^-1, Y2^2 * Y3^-1, (R * Y2)^2, (R * Y3)^2, (R * Y1)^2, Y3^11, Y1^11 ]
Map::
	R = (1, 23, 2, 24, 6, 28, 10, 32, 14, 36, 18, 40, 21, 43, 17, 39, 13, 35, 9, 31, 4, 26)(3, 25, 5, 27, 7, 29, 11, 33, 15, 37, 19, 41, 22, 44, 20, 42, 16, 38, 12, 34, 8, 30)(45, 67, 47, 69, 48, 70, 52, 74, 53, 75, 56, 78, 57, 79, 60, 82, 61, 83, 64, 86, 65, 87, 66, 88, 62, 84, 63, 85, 58, 80, 59, 81, 54, 76, 55, 77, 50, 72, 51, 73, 46, 68, 49, 71)
	L = (1, 48)(2, 45)(3, 52)(4, 53)(5, 47)(6, 46)(7, 49)(8, 56)(9, 57)(10, 50)(11, 51)(12, 60)(13, 61)(14, 54)(15, 55)(16, 64)(17, 65)(18, 58)(19, 59)(20, 66)(21, 62)(22, 63)(23, 67)(24, 68)(25, 69)(26, 70)(27, 71)(28, 72)(29, 73)(30, 74)(31, 75)(32, 76)(33, 77)(34, 78)(35, 79)(36, 80)(37, 81)(38, 82)(39, 83)(40, 84)(41, 85)(42, 86)(43, 87)(44, 88)
	local type(s) :: { ( 2, 44, 2, 44, 2, 44, 2, 44, 2, 44, 2, 44, 2, 44, 2, 44, 2, 44, 2, 44, 2, 44 ), ( 2, 44, 2, 44, 2, 44, 2, 44, 2, 44, 2, 44, 2, 44, 2, 44, 2, 44, 2, 44, 2, 44, 2, 44, 2, 44, 2, 44, 2, 44, 2, 44, 2, 44, 2, 44, 2, 44, 2, 44, 2, 44, 2, 44 ) }
Outer automorphisms :: reflexible
Dual of E10.226
Graph:: bipartite
	v = 3 e = 44 f = 23
	degree seq :: [ 22^2, 44 ]

E10.208 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {11, 22, 22})
Quotient :: dipole
Aut^+ = C22 (small group id <22, 2>)
Aut   = D44 (small group id <44, 3>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1^-1, Y1 * Y2^-2, (R * Y2)^2, (R * Y1)^2, (R * Y3)^2, (Y2, Y3^-1), Y1^11, Y3^2 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y1^-1 ]
Map::
	R = (1, 23, 2, 24, 6, 28, 10, 32, 14, 36, 18, 40, 20, 42, 16, 38, 12, 34, 8, 30, 4, 26)(3, 25, 7, 29, 11, 33, 15, 37, 19, 41, 22, 44, 21, 43, 17, 39, 13, 35, 9, 31, 5, 27)(45, 67, 47, 69, 46, 68, 51, 73, 50, 72, 55, 77, 54, 76, 59, 81, 58, 80, 63, 85, 62, 84, 66, 88, 64, 86, 65, 87, 60, 82, 61, 83, 56, 78, 57, 79, 52, 74, 53, 75, 48, 70, 49, 71)
	L = (1, 48)(2, 45)(3, 49)(4, 52)(5, 53)(6, 46)(7, 47)(8, 56)(9, 57)(10, 50)(11, 51)(12, 60)(13, 61)(14, 54)(15, 55)(16, 64)(17, 65)(18, 58)(19, 59)(20, 62)(21, 66)(22, 63)(23, 67)(24, 68)(25, 69)(26, 70)(27, 71)(28, 72)(29, 73)(30, 74)(31, 75)(32, 76)(33, 77)(34, 78)(35, 79)(36, 80)(37, 81)(38, 82)(39, 83)(40, 84)(41, 85)(42, 86)(43, 87)(44, 88)
	local type(s) :: { ( 2, 44, 2, 44, 2, 44, 2, 44, 2, 44, 2, 44, 2, 44, 2, 44, 2, 44, 2, 44, 2, 44 ), ( 2, 44, 2, 44, 2, 44, 2, 44, 2, 44, 2, 44, 2, 44, 2, 44, 2, 44, 2, 44, 2, 44, 2, 44, 2, 44, 2, 44, 2, 44, 2, 44, 2, 44, 2, 44, 2, 44, 2, 44, 2, 44, 2, 44 ) }
Outer automorphisms :: reflexible
Dual of E10.229
Graph:: bipartite
	v = 3 e = 44 f = 23
	degree seq :: [ 22^2, 44 ]

E10.209 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {11, 22, 22})
Quotient :: dipole
Aut^+ = C22 (small group id <22, 2>)
Aut   = D44 (small group id <44, 3>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1^-1, Y3 * Y1, (Y2^-1, Y1^-1), (R * Y1)^2, (R * Y2)^2, (R * Y3)^2, (Y3^-1, Y2^-1), Y2 * Y3 * Y2 * Y3^2, Y2^-1 * Y1^2 * Y3^-1 * Y2^-1, Y3 * Y2^-1 * Y3 * Y2^-5, Y1^11, Y2^36 * Y1^2 * Y3 ]
Map::
	R = (1, 23, 2, 24, 6, 28, 9, 31, 15, 37, 20, 42, 22, 44, 18, 40, 13, 35, 11, 33, 4, 26)(3, 25, 7, 29, 14, 36, 16, 38, 21, 43, 19, 41, 17, 39, 12, 34, 5, 27, 8, 30, 10, 32)(45, 67, 47, 69, 53, 75, 60, 82, 66, 88, 61, 83, 55, 77, 52, 74, 46, 68, 51, 73, 59, 81, 65, 87, 62, 84, 56, 78, 48, 70, 54, 76, 50, 72, 58, 80, 64, 86, 63, 85, 57, 79, 49, 71)
	L = (1, 48)(2, 45)(3, 54)(4, 55)(5, 56)(6, 46)(7, 47)(8, 49)(9, 50)(10, 52)(11, 57)(12, 61)(13, 62)(14, 51)(15, 53)(16, 58)(17, 63)(18, 66)(19, 65)(20, 59)(21, 60)(22, 64)(23, 67)(24, 68)(25, 69)(26, 70)(27, 71)(28, 72)(29, 73)(30, 74)(31, 75)(32, 76)(33, 77)(34, 78)(35, 79)(36, 80)(37, 81)(38, 82)(39, 83)(40, 84)(41, 85)(42, 86)(43, 87)(44, 88)
	local type(s) :: { ( 2, 44, 2, 44, 2, 44, 2, 44, 2, 44, 2, 44, 2, 44, 2, 44, 2, 44, 2, 44, 2, 44 ), ( 2, 44, 2, 44, 2, 44, 2, 44, 2, 44, 2, 44, 2, 44, 2, 44, 2, 44, 2, 44, 2, 44, 2, 44, 2, 44, 2, 44, 2, 44, 2, 44, 2, 44, 2, 44, 2, 44, 2, 44, 2, 44, 2, 44 ) }
Outer automorphisms :: reflexible
Dual of E10.224
Graph:: bipartite
	v = 3 e = 44 f = 23
	degree seq :: [ 22^2, 44 ]

E10.210 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {11, 22, 22})
Quotient :: dipole
Aut^+ = C22 (small group id <22, 2>)
Aut   = D44 (small group id <44, 3>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y3^-1, Y2 * Y3 * Y2^-1 * Y1, (R * Y3)^2, (R * Y2)^2, (R * Y1)^2, Y2 * Y1 * Y2 * Y3^-2, Y2^4 * Y1^-1 * Y2 * Y1^-1 * Y2, Y1^11, Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-2 ]
Map::
	R = (1, 23, 2, 24, 6, 28, 13, 35, 15, 37, 20, 42, 22, 44, 17, 39, 9, 31, 11, 33, 4, 26)(3, 25, 7, 29, 12, 34, 5, 27, 8, 30, 14, 36, 19, 41, 21, 43, 16, 38, 18, 40, 10, 32)(45, 67, 47, 69, 53, 75, 60, 82, 64, 86, 58, 80, 50, 72, 56, 78, 48, 70, 54, 76, 61, 83, 65, 87, 59, 81, 52, 74, 46, 68, 51, 73, 55, 77, 62, 84, 66, 88, 63, 85, 57, 79, 49, 71)
	L = (1, 48)(2, 45)(3, 54)(4, 55)(5, 56)(6, 46)(7, 47)(8, 49)(9, 61)(10, 62)(11, 53)(12, 51)(13, 50)(14, 52)(15, 57)(16, 65)(17, 66)(18, 60)(19, 58)(20, 59)(21, 63)(22, 64)(23, 67)(24, 68)(25, 69)(26, 70)(27, 71)(28, 72)(29, 73)(30, 74)(31, 75)(32, 76)(33, 77)(34, 78)(35, 79)(36, 80)(37, 81)(38, 82)(39, 83)(40, 84)(41, 85)(42, 86)(43, 87)(44, 88)
	local type(s) :: { ( 2, 44, 2, 44, 2, 44, 2, 44, 2, 44, 2, 44, 2, 44, 2, 44, 2, 44, 2, 44, 2, 44 ), ( 2, 44, 2, 44, 2, 44, 2, 44, 2, 44, 2, 44, 2, 44, 2, 44, 2, 44, 2, 44, 2, 44, 2, 44, 2, 44, 2, 44, 2, 44, 2, 44, 2, 44, 2, 44, 2, 44, 2, 44, 2, 44, 2, 44 ) }
Outer automorphisms :: reflexible
Dual of E10.227
Graph:: bipartite
	v = 3 e = 44 f = 23
	degree seq :: [ 22^2, 44 ]

E10.211 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {11, 22, 22})
Quotient :: dipole
Aut^+ = C22 (small group id <22, 2>)
Aut   = D44 (small group id <44, 3>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y3^-1, Y1^-1 * Y3^-1, (R * Y2)^2, (Y2^-1, Y1^-1), (Y3^-1, Y2^-1), (R * Y3)^2, (R * Y1)^2, Y2 * Y1 * Y2^3, Y3^-2 * Y2^-1 * Y1^-1 * Y2 * Y1^-1, Y2 * Y1^-1 * Y2 * Y1^-4, Y2^-1 * Y3^2 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 ]
Map::
	R = (1, 23, 2, 24, 6, 28, 14, 36, 18, 40, 9, 31, 13, 35, 17, 39, 20, 42, 11, 33, 4, 26)(3, 25, 7, 29, 15, 37, 22, 44, 21, 43, 12, 34, 5, 27, 8, 30, 16, 38, 19, 41, 10, 32)(45, 67, 47, 69, 53, 75, 56, 78, 48, 70, 54, 76, 62, 84, 65, 87, 55, 77, 63, 85, 58, 80, 66, 88, 64, 86, 60, 82, 50, 72, 59, 81, 61, 83, 52, 74, 46, 68, 51, 73, 57, 79, 49, 71)
	L = (1, 48)(2, 45)(3, 54)(4, 55)(5, 56)(6, 46)(7, 47)(8, 49)(9, 62)(10, 63)(11, 64)(12, 65)(13, 53)(14, 50)(15, 51)(16, 52)(17, 57)(18, 58)(19, 60)(20, 61)(21, 66)(22, 59)(23, 67)(24, 68)(25, 69)(26, 70)(27, 71)(28, 72)(29, 73)(30, 74)(31, 75)(32, 76)(33, 77)(34, 78)(35, 79)(36, 80)(37, 81)(38, 82)(39, 83)(40, 84)(41, 85)(42, 86)(43, 87)(44, 88)
	local type(s) :: { ( 2, 44, 2, 44, 2, 44, 2, 44, 2, 44, 2, 44, 2, 44, 2, 44, 2, 44, 2, 44, 2, 44 ), ( 2, 44, 2, 44, 2, 44, 2, 44, 2, 44, 2, 44, 2, 44, 2, 44, 2, 44, 2, 44, 2, 44, 2, 44, 2, 44, 2, 44, 2, 44, 2, 44, 2, 44, 2, 44, 2, 44, 2, 44, 2, 44, 2, 44 ) }
Outer automorphisms :: reflexible
Dual of E10.231
Graph:: bipartite
	v = 3 e = 44 f = 23
	degree seq :: [ 22^2, 44 ]

E10.212 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {11, 22, 22})
Quotient :: dipole
Aut^+ = C22 (small group id <22, 2>)
Aut   = D44 (small group id <44, 3>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y1, Y1 * Y2 * Y3 * Y2^-1, (R * Y1)^2, (R * Y3)^2, (R * Y2)^2, Y2^-4 * Y3^-1, Y3^-1 * Y2 * Y1^3 * Y2 * Y3^-1, (Y2^-1 * Y1^-1)^22 ]
Map::
	R = (1, 23, 2, 24, 6, 28, 14, 36, 21, 43, 13, 35, 9, 31, 17, 39, 19, 41, 11, 33, 4, 26)(3, 25, 7, 29, 15, 37, 20, 42, 12, 34, 5, 27, 8, 30, 16, 38, 22, 44, 18, 40, 10, 32)(45, 67, 47, 69, 53, 75, 52, 74, 46, 68, 51, 73, 61, 83, 60, 82, 50, 72, 59, 81, 63, 85, 66, 88, 58, 80, 64, 86, 55, 77, 62, 84, 65, 87, 56, 78, 48, 70, 54, 76, 57, 79, 49, 71)
	L = (1, 48)(2, 45)(3, 54)(4, 55)(5, 56)(6, 46)(7, 47)(8, 49)(9, 57)(10, 62)(11, 63)(12, 64)(13, 65)(14, 50)(15, 51)(16, 52)(17, 53)(18, 66)(19, 61)(20, 59)(21, 58)(22, 60)(23, 67)(24, 68)(25, 69)(26, 70)(27, 71)(28, 72)(29, 73)(30, 74)(31, 75)(32, 76)(33, 77)(34, 78)(35, 79)(36, 80)(37, 81)(38, 82)(39, 83)(40, 84)(41, 85)(42, 86)(43, 87)(44, 88)
	local type(s) :: { ( 2, 44, 2, 44, 2, 44, 2, 44, 2, 44, 2, 44, 2, 44, 2, 44, 2, 44, 2, 44, 2, 44 ), ( 2, 44, 2, 44, 2, 44, 2, 44, 2, 44, 2, 44, 2, 44, 2, 44, 2, 44, 2, 44, 2, 44, 2, 44, 2, 44, 2, 44, 2, 44, 2, 44, 2, 44, 2, 44, 2, 44, 2, 44, 2, 44, 2, 44 ) }
Outer automorphisms :: reflexible
Dual of E10.228
Graph:: bipartite
	v = 3 e = 44 f = 23
	degree seq :: [ 22^2, 44 ]

E10.213 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {11, 22, 22})
Quotient :: dipole
Aut^+ = C22 (small group id <22, 2>)
Aut   = D44 (small group id <44, 3>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y3^-1, Y1^-1 * Y3^-1, Y1 * Y2 * Y3 * Y2^-1, (Y3^-1, Y2^-1), (Y1^-1, Y2), (R * Y1)^2, (R * Y2)^2, (R * Y3)^2, Y1^-1 * Y2 * Y3 * Y2 * Y1^-2, Y3^-1 * Y2^2 * Y3^-1 * Y2^2 * Y3^-1, Y2 * Y1^3 * Y2^3, Y1^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2 * Y3^-2 ]
Map::
	R = (1, 23, 2, 24, 6, 28, 14, 36, 9, 31, 17, 39, 21, 43, 13, 35, 18, 40, 11, 33, 4, 26)(3, 25, 7, 29, 15, 37, 22, 44, 19, 41, 20, 42, 12, 34, 5, 27, 8, 30, 16, 38, 10, 32)(45, 67, 47, 69, 53, 75, 63, 85, 62, 84, 52, 74, 46, 68, 51, 73, 61, 83, 64, 86, 55, 77, 60, 82, 50, 72, 59, 81, 65, 87, 56, 78, 48, 70, 54, 76, 58, 80, 66, 88, 57, 79, 49, 71)
	L = (1, 48)(2, 45)(3, 54)(4, 55)(5, 56)(6, 46)(7, 47)(8, 49)(9, 58)(10, 60)(11, 62)(12, 64)(13, 65)(14, 50)(15, 51)(16, 52)(17, 53)(18, 57)(19, 66)(20, 63)(21, 61)(22, 59)(23, 67)(24, 68)(25, 69)(26, 70)(27, 71)(28, 72)(29, 73)(30, 74)(31, 75)(32, 76)(33, 77)(34, 78)(35, 79)(36, 80)(37, 81)(38, 82)(39, 83)(40, 84)(41, 85)(42, 86)(43, 87)(44, 88)
	local type(s) :: { ( 2, 44, 2, 44, 2, 44, 2, 44, 2, 44, 2, 44, 2, 44, 2, 44, 2, 44, 2, 44, 2, 44 ), ( 2, 44, 2, 44, 2, 44, 2, 44, 2, 44, 2, 44, 2, 44, 2, 44, 2, 44, 2, 44, 2, 44, 2, 44, 2, 44, 2, 44, 2, 44, 2, 44, 2, 44, 2, 44, 2, 44, 2, 44, 2, 44, 2, 44 ) }
Outer automorphisms :: reflexible
Dual of E10.225
Graph:: bipartite
	v = 3 e = 44 f = 23
	degree seq :: [ 22^2, 44 ]

E10.214 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {11, 22, 22})
Quotient :: dipole
Aut^+ = C22 (small group id <22, 2>)
Aut   = D44 (small group id <44, 3>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1^-1, Y1^-1 * Y3^-1, (Y2, Y1), (R * Y1)^2, (R * Y2)^2, (R * Y3)^2, Y3 * Y1^-1 * Y2^-2 * Y1^-2, Y1 * Y2^-1 * Y3^-1 * Y1 * Y2^-3, Y2^6 * Y3^-1, Y1^11 ]
Map::
	R = (1, 23, 2, 24, 6, 28, 14, 36, 13, 35, 18, 40, 20, 42, 9, 31, 17, 39, 11, 33, 4, 26)(3, 25, 7, 29, 15, 37, 12, 34, 5, 27, 8, 30, 16, 38, 19, 41, 22, 44, 21, 43, 10, 32)(45, 67, 47, 69, 53, 75, 63, 85, 58, 80, 56, 78, 48, 70, 54, 76, 64, 86, 60, 82, 50, 72, 59, 81, 55, 77, 65, 87, 62, 84, 52, 74, 46, 68, 51, 73, 61, 83, 66, 88, 57, 79, 49, 71)
	L = (1, 48)(2, 45)(3, 54)(4, 55)(5, 56)(6, 46)(7, 47)(8, 49)(9, 64)(10, 65)(11, 61)(12, 59)(13, 58)(14, 50)(15, 51)(16, 52)(17, 53)(18, 57)(19, 60)(20, 62)(21, 66)(22, 63)(23, 67)(24, 68)(25, 69)(26, 70)(27, 71)(28, 72)(29, 73)(30, 74)(31, 75)(32, 76)(33, 77)(34, 78)(35, 79)(36, 80)(37, 81)(38, 82)(39, 83)(40, 84)(41, 85)(42, 86)(43, 87)(44, 88)
	local type(s) :: { ( 2, 44, 2, 44, 2, 44, 2, 44, 2, 44, 2, 44, 2, 44, 2, 44, 2, 44, 2, 44, 2, 44 ), ( 2, 44, 2, 44, 2, 44, 2, 44, 2, 44, 2, 44, 2, 44, 2, 44, 2, 44, 2, 44, 2, 44, 2, 44, 2, 44, 2, 44, 2, 44, 2, 44, 2, 44, 2, 44, 2, 44, 2, 44, 2, 44, 2, 44 ) }
Outer automorphisms :: reflexible
Dual of E10.223
Graph:: bipartite
	v = 3 e = 44 f = 23
	degree seq :: [ 22^2, 44 ]

E10.215 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {11, 22, 22})
Quotient :: dipole
Aut^+ = C22 (small group id <22, 2>)
Aut   = D44 (small group id <44, 3>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y2^-1, Y2^3 * Y1^-1, (R * Y1)^2, R * Y2 * R * Y3, Y2 * Y1^7, (Y3^-1 * Y1^-1)^11 ]
Map::
	R = (1, 23, 2, 24, 6, 28, 12, 34, 18, 40, 17, 39, 11, 33, 5, 27, 8, 30, 14, 36, 20, 42, 22, 44, 21, 43, 15, 37, 9, 31, 3, 25, 7, 29, 13, 35, 19, 41, 16, 38, 10, 32, 4, 26)(45, 67, 47, 69, 52, 74, 46, 68, 51, 73, 58, 80, 50, 72, 57, 79, 64, 86, 56, 78, 63, 85, 66, 88, 62, 84, 60, 82, 65, 87, 61, 83, 54, 76, 59, 81, 55, 77, 48, 70, 53, 75, 49, 71)
	L = (1, 47)(2, 51)(3, 52)(4, 53)(5, 45)(6, 57)(7, 58)(8, 46)(9, 49)(10, 59)(11, 48)(12, 63)(13, 64)(14, 50)(15, 55)(16, 65)(17, 54)(18, 60)(19, 66)(20, 56)(21, 61)(22, 62)(23, 67)(24, 68)(25, 69)(26, 70)(27, 71)(28, 72)(29, 73)(30, 74)(31, 75)(32, 76)(33, 77)(34, 78)(35, 79)(36, 80)(37, 81)(38, 82)(39, 83)(40, 84)(41, 85)(42, 86)(43, 87)(44, 88)
	local type(s) :: { ( 2, 22, 2, 22, 2, 22, 2, 22, 2, 22, 2, 22, 2, 22, 2, 22, 2, 22, 2, 22, 2, 22, 2, 22, 2, 22, 2, 22, 2, 22, 2, 22, 2, 22, 2, 22, 2, 22, 2, 22, 2, 22, 2, 22 ) }
Outer automorphisms :: reflexible
Dual of E10.220
Graph:: bipartite
	v = 2 e = 44 f = 24
	degree seq :: [ 44^2 ]

E10.216 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {11, 22, 22})
Quotient :: dipole
Aut^+ = C22 (small group id <22, 2>)
Aut   = D44 (small group id <44, 3>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, Y1^-1 * Y2^-3, (R * Y1)^2, (R * Y3)^2, Y2 * Y1^-7, (Y3^-1 * Y1^-1)^11 ]
Map::
	R = (1, 23, 2, 24, 6, 28, 12, 34, 18, 40, 16, 38, 10, 32, 3, 25, 7, 29, 13, 35, 19, 41, 22, 44, 21, 43, 15, 37, 9, 31, 5, 27, 8, 30, 14, 36, 20, 42, 17, 39, 11, 33, 4, 26)(45, 67, 47, 69, 53, 75, 48, 70, 54, 76, 59, 81, 55, 77, 60, 82, 65, 87, 61, 83, 62, 84, 66, 88, 64, 86, 56, 78, 63, 85, 58, 80, 50, 72, 57, 79, 52, 74, 46, 68, 51, 73, 49, 71)
	L = (1, 47)(2, 51)(3, 53)(4, 54)(5, 45)(6, 57)(7, 49)(8, 46)(9, 48)(10, 59)(11, 60)(12, 63)(13, 52)(14, 50)(15, 55)(16, 65)(17, 62)(18, 66)(19, 58)(20, 56)(21, 61)(22, 64)(23, 67)(24, 68)(25, 69)(26, 70)(27, 71)(28, 72)(29, 73)(30, 74)(31, 75)(32, 76)(33, 77)(34, 78)(35, 79)(36, 80)(37, 81)(38, 82)(39, 83)(40, 84)(41, 85)(42, 86)(43, 87)(44, 88)
	local type(s) :: { ( 2, 22, 2, 22, 2, 22, 2, 22, 2, 22, 2, 22, 2, 22, 2, 22, 2, 22, 2, 22, 2, 22, 2, 22, 2, 22, 2, 22, 2, 22, 2, 22, 2, 22, 2, 22, 2, 22, 2, 22, 2, 22, 2, 22 ) }
Outer automorphisms :: reflexible
Dual of E10.222
Graph:: bipartite
	v = 2 e = 44 f = 24
	degree seq :: [ 44^2 ]

E10.217 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {11, 22, 22})
Quotient :: dipole
Aut^+ = C22 (small group id <22, 2>)
Aut   = D44 (small group id <44, 3>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y2^-1, (R * Y1)^2, (Y2, Y1), R * Y2 * R * Y3, Y2^-2 * Y1^-4, Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-2, Y2^4 * Y1^-1 * Y2, (Y3^-1 * Y1^-1)^11 ]
Map::
	R = (1, 23, 2, 24, 6, 28, 14, 36, 13, 35, 18, 40, 22, 44, 20, 42, 10, 32, 3, 25, 7, 29, 15, 37, 12, 34, 5, 27, 8, 30, 16, 38, 21, 43, 19, 41, 9, 31, 17, 39, 11, 33, 4, 26)(45, 67, 47, 69, 53, 75, 62, 84, 52, 74, 46, 68, 51, 73, 61, 83, 66, 88, 60, 82, 50, 72, 59, 81, 55, 77, 64, 86, 65, 87, 58, 80, 56, 78, 48, 70, 54, 76, 63, 85, 57, 79, 49, 71)
	L = (1, 47)(2, 51)(3, 53)(4, 54)(5, 45)(6, 59)(7, 61)(8, 46)(9, 62)(10, 63)(11, 64)(12, 48)(13, 49)(14, 56)(15, 55)(16, 50)(17, 66)(18, 52)(19, 57)(20, 65)(21, 58)(22, 60)(23, 67)(24, 68)(25, 69)(26, 70)(27, 71)(28, 72)(29, 73)(30, 74)(31, 75)(32, 76)(33, 77)(34, 78)(35, 79)(36, 80)(37, 81)(38, 82)(39, 83)(40, 84)(41, 85)(42, 86)(43, 87)(44, 88)
	local type(s) :: { ( 2, 22, 2, 22, 2, 22, 2, 22, 2, 22, 2, 22, 2, 22, 2, 22, 2, 22, 2, 22, 2, 22, 2, 22, 2, 22, 2, 22, 2, 22, 2, 22, 2, 22, 2, 22, 2, 22, 2, 22, 2, 22, 2, 22 ) }
Outer automorphisms :: reflexible
Dual of E10.219
Graph:: bipartite
	v = 2 e = 44 f = 24
	degree seq :: [ 44^2 ]

E10.218 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {11, 22, 22})
Quotient :: dipole
Aut^+ = C22 (small group id <22, 2>)
Aut   = D44 (small group id <44, 3>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y2^-1, (Y1, Y2^-1), (R * Y1)^2, R * Y2 * R * Y3, Y1^-1 * Y2 * Y1^-3 * Y2, Y2^-1 * Y1^-1 * Y2^-4, (Y3^-1 * Y1^-1)^11 ]
Map::
	R = (1, 23, 2, 24, 6, 28, 14, 36, 9, 31, 17, 39, 22, 44, 20, 42, 12, 34, 5, 27, 8, 30, 16, 38, 10, 32, 3, 25, 7, 29, 15, 37, 21, 43, 19, 41, 13, 35, 18, 40, 11, 33, 4, 26)(45, 67, 47, 69, 53, 75, 63, 85, 56, 78, 48, 70, 54, 76, 58, 80, 65, 87, 64, 86, 55, 77, 60, 82, 50, 72, 59, 81, 66, 88, 62, 84, 52, 74, 46, 68, 51, 73, 61, 83, 57, 79, 49, 71)
	L = (1, 47)(2, 51)(3, 53)(4, 54)(5, 45)(6, 59)(7, 61)(8, 46)(9, 63)(10, 58)(11, 60)(12, 48)(13, 49)(14, 65)(15, 66)(16, 50)(17, 57)(18, 52)(19, 56)(20, 55)(21, 64)(22, 62)(23, 67)(24, 68)(25, 69)(26, 70)(27, 71)(28, 72)(29, 73)(30, 74)(31, 75)(32, 76)(33, 77)(34, 78)(35, 79)(36, 80)(37, 81)(38, 82)(39, 83)(40, 84)(41, 85)(42, 86)(43, 87)(44, 88)
	local type(s) :: { ( 2, 22, 2, 22, 2, 22, 2, 22, 2, 22, 2, 22, 2, 22, 2, 22, 2, 22, 2, 22, 2, 22, 2, 22, 2, 22, 2, 22, 2, 22, 2, 22, 2, 22, 2, 22, 2, 22, 2, 22, 2, 22, 2, 22 ) }
Outer automorphisms :: reflexible
Dual of E10.221
Graph:: bipartite
	v = 2 e = 44 f = 24
	degree seq :: [ 44^2 ]

E10.219 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {11, 22, 22})
Quotient :: dipole
Aut^+ = C22 (small group id <22, 2>)
Aut   = D44 (small group id <44, 3>)
|r| :: 2
Presentation :: [ Y1, R^2, Y2^-2 * Y3^-2, (Y2^-1 * R)^2, (R * Y3)^2, (R * Y1)^2, (Y2, Y3^-1), Y2^3 * Y3^4 * Y2, Y2^-1 * Y3^10, Y2^11, Y2^-1 * Y3^2 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1, (Y3^-1 * Y1^-1)^22 ]
Map::
	R = (1, 23)(2, 24)(3, 25)(4, 26)(5, 27)(6, 28)(7, 29)(8, 30)(9, 31)(10, 32)(11, 33)(12, 34)(13, 35)(14, 36)(15, 37)(16, 38)(17, 39)(18, 40)(19, 41)(20, 42)(21, 43)(22, 44)(45, 67, 46, 68, 50, 72, 55, 77, 59, 81, 63, 85, 66, 88, 61, 83, 58, 80, 53, 75, 48, 70)(47, 69, 51, 73, 49, 71, 52, 74, 56, 78, 60, 82, 64, 86, 65, 87, 62, 84, 57, 79, 54, 76)
	L = (1, 47)(2, 51)(3, 53)(4, 54)(5, 45)(6, 49)(7, 48)(8, 46)(9, 57)(10, 58)(11, 52)(12, 50)(13, 61)(14, 62)(15, 56)(16, 55)(17, 65)(18, 66)(19, 60)(20, 59)(21, 63)(22, 64)(23, 67)(24, 68)(25, 69)(26, 70)(27, 71)(28, 72)(29, 73)(30, 74)(31, 75)(32, 76)(33, 77)(34, 78)(35, 79)(36, 80)(37, 81)(38, 82)(39, 83)(40, 84)(41, 85)(42, 86)(43, 87)(44, 88)
	local type(s) :: { ( 44, 44 ), ( 44^22 ) }
Outer automorphisms :: reflexible
Dual of E10.217
Graph:: simple bipartite
	v = 24 e = 44 f = 2
	degree seq :: [ 2^22, 22^2 ]

E10.220 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {11, 22, 22})
Quotient :: dipole
Aut^+ = C22 (small group id <22, 2>)
Aut   = D44 (small group id <44, 3>)
|r| :: 2
Presentation :: [ Y1, R^2, (Y3^-1, Y2^-1), (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, Y3^-4 * Y2, Y2^2 * Y3 * Y2 * Y3 * Y2^2, Y2 * Y3 * Y2^2 * Y3 * Y2^2, (Y3^-1 * Y1^-1)^22 ]
Map::
	R = (1, 23)(2, 24)(3, 25)(4, 26)(5, 27)(6, 28)(7, 29)(8, 30)(9, 31)(10, 32)(11, 33)(12, 34)(13, 35)(14, 36)(15, 37)(16, 38)(17, 39)(18, 40)(19, 41)(20, 42)(21, 43)(22, 44)(45, 67, 46, 68, 50, 72, 58, 80, 65, 87, 57, 79, 53, 75, 61, 83, 63, 85, 55, 77, 48, 70)(47, 69, 51, 73, 59, 81, 64, 86, 56, 78, 49, 71, 52, 74, 60, 82, 66, 88, 62, 84, 54, 76)
	L = (1, 47)(2, 51)(3, 53)(4, 54)(5, 45)(6, 59)(7, 61)(8, 46)(9, 52)(10, 57)(11, 62)(12, 48)(13, 49)(14, 64)(15, 63)(16, 50)(17, 60)(18, 65)(19, 66)(20, 55)(21, 56)(22, 58)(23, 67)(24, 68)(25, 69)(26, 70)(27, 71)(28, 72)(29, 73)(30, 74)(31, 75)(32, 76)(33, 77)(34, 78)(35, 79)(36, 80)(37, 81)(38, 82)(39, 83)(40, 84)(41, 85)(42, 86)(43, 87)(44, 88)
	local type(s) :: { ( 44, 44 ), ( 44^22 ) }
Outer automorphisms :: reflexible
Dual of E10.215
Graph:: simple bipartite
	v = 24 e = 44 f = 2
	degree seq :: [ 2^22, 22^2 ]

E10.221 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {11, 22, 22})
Quotient :: dipole
Aut^+ = C22 (small group id <22, 2>)
Aut   = D44 (small group id <44, 3>)
|r| :: 2
Presentation :: [ Y1, R^2, (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, (Y2, Y3^-1), Y3 * Y2 * Y3^3, Y2^3 * Y3^-1 * Y2 * Y3^-1 * Y2, Y2^-1 * Y3^2 * Y2^-1 * Y3^2 * Y2^-1 * Y3^2 * Y2^-1 * Y3^2 * Y2^-1 * Y3^2 * Y2^-1 * Y3^2 * Y2^-2, (Y3^-1 * Y1^-1)^22 ]
Map::
	R = (1, 23)(2, 24)(3, 25)(4, 26)(5, 27)(6, 28)(7, 29)(8, 30)(9, 31)(10, 32)(11, 33)(12, 34)(13, 35)(14, 36)(15, 37)(16, 38)(17, 39)(18, 40)(19, 41)(20, 42)(21, 43)(22, 44)(45, 67, 46, 68, 50, 72, 58, 80, 62, 84, 53, 75, 57, 79, 61, 83, 64, 86, 55, 77, 48, 70)(47, 69, 51, 73, 59, 81, 66, 88, 65, 87, 56, 78, 49, 71, 52, 74, 60, 82, 63, 85, 54, 76)
	L = (1, 47)(2, 51)(3, 53)(4, 54)(5, 45)(6, 59)(7, 57)(8, 46)(9, 56)(10, 62)(11, 63)(12, 48)(13, 49)(14, 66)(15, 61)(16, 50)(17, 52)(18, 65)(19, 58)(20, 60)(21, 55)(22, 64)(23, 67)(24, 68)(25, 69)(26, 70)(27, 71)(28, 72)(29, 73)(30, 74)(31, 75)(32, 76)(33, 77)(34, 78)(35, 79)(36, 80)(37, 81)(38, 82)(39, 83)(40, 84)(41, 85)(42, 86)(43, 87)(44, 88)
	local type(s) :: { ( 44, 44 ), ( 44^22 ) }
Outer automorphisms :: reflexible
Dual of E10.218
Graph:: simple bipartite
	v = 24 e = 44 f = 2
	degree seq :: [ 2^22, 22^2 ]

E10.222 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {11, 22, 22})
Quotient :: dipole
Aut^+ = C22 (small group id <22, 2>)
Aut   = D44 (small group id <44, 3>)
|r| :: 2
Presentation :: [ Y1, R^2, Y3 * Y2 * Y3, (R * Y1)^2, (R * Y3)^2, (R * Y2)^2, Y2^11, (Y3 * Y2^-1)^22, (Y3^-1 * Y1^-1)^22 ]
Map::
	R = (1, 23)(2, 24)(3, 25)(4, 26)(5, 27)(6, 28)(7, 29)(8, 30)(9, 31)(10, 32)(11, 33)(12, 34)(13, 35)(14, 36)(15, 37)(16, 38)(17, 39)(18, 40)(19, 41)(20, 42)(21, 43)(22, 44)(45, 67, 46, 68, 50, 72, 54, 76, 58, 80, 62, 84, 65, 87, 61, 83, 57, 79, 53, 75, 48, 70)(47, 69, 49, 71, 51, 73, 55, 77, 59, 81, 63, 85, 66, 88, 64, 86, 60, 82, 56, 78, 52, 74)
	L = (1, 47)(2, 49)(3, 48)(4, 52)(5, 45)(6, 51)(7, 46)(8, 53)(9, 56)(10, 55)(11, 50)(12, 57)(13, 60)(14, 59)(15, 54)(16, 61)(17, 64)(18, 63)(19, 58)(20, 65)(21, 66)(22, 62)(23, 67)(24, 68)(25, 69)(26, 70)(27, 71)(28, 72)(29, 73)(30, 74)(31, 75)(32, 76)(33, 77)(34, 78)(35, 79)(36, 80)(37, 81)(38, 82)(39, 83)(40, 84)(41, 85)(42, 86)(43, 87)(44, 88)
	local type(s) :: { ( 44, 44 ), ( 44^22 ) }
Outer automorphisms :: reflexible
Dual of E10.216
Graph:: simple bipartite
	v = 24 e = 44 f = 2
	degree seq :: [ 2^22, 22^2 ]

E10.223 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {11, 22, 22})
Quotient :: dipole
Aut^+ = C22 (small group id <22, 2>)
Aut   = D44 (small group id <44, 3>)
|r| :: 2
Presentation :: [ Y2, R^2, Y3^2 * Y1^-2, (Y3, Y1^-1), (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, Y3 * Y1^10, Y3^11, (Y3 * Y2^-1)^11, Y1^-1 * Y3^-2 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 ]
Map::
	R = (1, 23, 2, 24, 6, 28, 11, 33, 15, 37, 19, 41, 22, 44, 18, 40, 14, 36, 10, 32, 5, 27, 8, 30, 3, 25, 7, 29, 12, 34, 16, 38, 20, 42, 21, 43, 17, 39, 13, 35, 9, 31, 4, 26)(45, 67)(46, 68)(47, 69)(48, 70)(49, 71)(50, 72)(51, 73)(52, 74)(53, 75)(54, 76)(55, 77)(56, 78)(57, 79)(58, 80)(59, 81)(60, 82)(61, 83)(62, 84)(63, 85)(64, 86)(65, 87)(66, 88)
	L = (1, 47)(2, 51)(3, 50)(4, 52)(5, 45)(6, 56)(7, 55)(8, 46)(9, 49)(10, 48)(11, 60)(12, 59)(13, 54)(14, 53)(15, 64)(16, 63)(17, 58)(18, 57)(19, 65)(20, 66)(21, 62)(22, 61)(23, 67)(24, 68)(25, 69)(26, 70)(27, 71)(28, 72)(29, 73)(30, 74)(31, 75)(32, 76)(33, 77)(34, 78)(35, 79)(36, 80)(37, 81)(38, 82)(39, 83)(40, 84)(41, 85)(42, 86)(43, 87)(44, 88)
	local type(s) :: { ( 22, 44 ), ( 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44 ) }
Outer automorphisms :: reflexible
Dual of E10.214
Graph:: bipartite
	v = 23 e = 44 f = 3
	degree seq :: [ 2^22, 44 ]

E10.224 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {11, 22, 22})
Quotient :: dipole
Aut^+ = C22 (small group id <22, 2>)
Aut   = D44 (small group id <44, 3>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y1)^2, (R * Y3)^2, (Y3^-1, Y1^-1), Y1^2 * Y3^-1 * Y1^2, (R * Y2 * Y3^-1)^2, Y1 * Y3 * Y1 * Y3^4, Y1^-2 * Y3^-1 * Y1^-2 * Y3^-1 * Y1^-2 * Y3^-1 * Y1^-2 * Y3^-1 * Y1^-2 * Y3^-1 * Y1^-1 * Y3 * Y1 * Y3, (Y3 * Y2^-1)^11 ]
Map::
	R = (1, 23, 2, 24, 6, 28, 10, 32, 3, 25, 7, 29, 14, 36, 18, 40, 9, 31, 15, 37, 21, 43, 22, 44, 17, 39, 20, 42, 13, 35, 16, 38, 19, 41, 12, 34, 5, 27, 8, 30, 11, 33, 4, 26)(45, 67)(46, 68)(47, 69)(48, 70)(49, 71)(50, 72)(51, 73)(52, 74)(53, 75)(54, 76)(55, 77)(56, 78)(57, 79)(58, 80)(59, 81)(60, 82)(61, 83)(62, 84)(63, 85)(64, 86)(65, 87)(66, 88)
	L = (1, 47)(2, 51)(3, 53)(4, 54)(5, 45)(6, 58)(7, 59)(8, 46)(9, 61)(10, 62)(11, 50)(12, 48)(13, 49)(14, 65)(15, 64)(16, 52)(17, 63)(18, 66)(19, 55)(20, 56)(21, 57)(22, 60)(23, 67)(24, 68)(25, 69)(26, 70)(27, 71)(28, 72)(29, 73)(30, 74)(31, 75)(32, 76)(33, 77)(34, 78)(35, 79)(36, 80)(37, 81)(38, 82)(39, 83)(40, 84)(41, 85)(42, 86)(43, 87)(44, 88)
	local type(s) :: { ( 22, 44 ), ( 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44 ) }
Outer automorphisms :: reflexible
Dual of E10.209
Graph:: bipartite
	v = 23 e = 44 f = 3
	degree seq :: [ 2^22, 44 ]

E10.225 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {11, 22, 22})
Quotient :: dipole
Aut^+ = C22 (small group id <22, 2>)
Aut   = D44 (small group id <44, 3>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y1)^2, (R * Y3)^2, (Y3^-1, Y1^-1), Y1^2 * Y3 * Y1^2, (R * Y2 * Y3^-1)^2, Y1 * Y3^-3 * Y1 * Y3^-2, (Y3 * Y2^-1)^11 ]
Map::
	R = (1, 23, 2, 24, 6, 28, 12, 34, 5, 27, 8, 30, 14, 36, 20, 42, 13, 35, 16, 38, 17, 39, 22, 44, 21, 43, 18, 40, 9, 31, 15, 37, 19, 41, 10, 32, 3, 25, 7, 29, 11, 33, 4, 26)(45, 67)(46, 68)(47, 69)(48, 70)(49, 71)(50, 72)(51, 73)(52, 74)(53, 75)(54, 76)(55, 77)(56, 78)(57, 79)(58, 80)(59, 81)(60, 82)(61, 83)(62, 84)(63, 85)(64, 86)(65, 87)(66, 88)
	L = (1, 47)(2, 51)(3, 53)(4, 54)(5, 45)(6, 55)(7, 59)(8, 46)(9, 61)(10, 62)(11, 63)(12, 48)(13, 49)(14, 50)(15, 66)(16, 52)(17, 58)(18, 60)(19, 65)(20, 56)(21, 57)(22, 64)(23, 67)(24, 68)(25, 69)(26, 70)(27, 71)(28, 72)(29, 73)(30, 74)(31, 75)(32, 76)(33, 77)(34, 78)(35, 79)(36, 80)(37, 81)(38, 82)(39, 83)(40, 84)(41, 85)(42, 86)(43, 87)(44, 88)
	local type(s) :: { ( 22, 44 ), ( 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44 ) }
Outer automorphisms :: reflexible
Dual of E10.213
Graph:: bipartite
	v = 23 e = 44 f = 3
	degree seq :: [ 2^22, 44 ]

E10.226 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {11, 22, 22})
Quotient :: dipole
Aut^+ = C22 (small group id <22, 2>)
Aut   = D44 (small group id <44, 3>)
|r| :: 2
Presentation :: [ Y2, R^2, Y1^2 * Y3, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y3^11, (Y3^5 * Y1^-1)^2, (Y3 * Y2^-1)^11 ]
Map::
	R = (1, 23, 2, 24, 5, 27, 6, 28, 9, 31, 10, 32, 13, 35, 14, 36, 17, 39, 18, 40, 21, 43, 22, 44, 19, 41, 20, 42, 15, 37, 16, 38, 11, 33, 12, 34, 7, 29, 8, 30, 3, 25, 4, 26)(45, 67)(46, 68)(47, 69)(48, 70)(49, 71)(50, 72)(51, 73)(52, 74)(53, 75)(54, 76)(55, 77)(56, 78)(57, 79)(58, 80)(59, 81)(60, 82)(61, 83)(62, 84)(63, 85)(64, 86)(65, 87)(66, 88)
	L = (1, 47)(2, 48)(3, 51)(4, 52)(5, 45)(6, 46)(7, 55)(8, 56)(9, 49)(10, 50)(11, 59)(12, 60)(13, 53)(14, 54)(15, 63)(16, 64)(17, 57)(18, 58)(19, 65)(20, 66)(21, 61)(22, 62)(23, 67)(24, 68)(25, 69)(26, 70)(27, 71)(28, 72)(29, 73)(30, 74)(31, 75)(32, 76)(33, 77)(34, 78)(35, 79)(36, 80)(37, 81)(38, 82)(39, 83)(40, 84)(41, 85)(42, 86)(43, 87)(44, 88)
	local type(s) :: { ( 22, 44 ), ( 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44 ) }
Outer automorphisms :: reflexible
Dual of E10.207
Graph:: bipartite
	v = 23 e = 44 f = 3
	degree seq :: [ 2^22, 44 ]

E10.227 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {11, 22, 22})
Quotient :: dipole
Aut^+ = C22 (small group id <22, 2>)
Aut   = D44 (small group id <44, 3>)
|r| :: 2
Presentation :: [ Y2, R^2, Y1^2 * Y3^-1, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y3^11, (Y3 * Y2^-1)^11, (Y3^-1 * Y1^-1)^22 ]
Map::
	R = (1, 23, 2, 24, 3, 25, 6, 28, 7, 29, 10, 32, 11, 33, 14, 36, 15, 37, 18, 40, 19, 41, 22, 44, 21, 43, 20, 42, 17, 39, 16, 38, 13, 35, 12, 34, 9, 31, 8, 30, 5, 27, 4, 26)(45, 67)(46, 68)(47, 69)(48, 70)(49, 71)(50, 72)(51, 73)(52, 74)(53, 75)(54, 76)(55, 77)(56, 78)(57, 79)(58, 80)(59, 81)(60, 82)(61, 83)(62, 84)(63, 85)(64, 86)(65, 87)(66, 88)
	L = (1, 47)(2, 50)(3, 51)(4, 46)(5, 45)(6, 54)(7, 55)(8, 48)(9, 49)(10, 58)(11, 59)(12, 52)(13, 53)(14, 62)(15, 63)(16, 56)(17, 57)(18, 66)(19, 65)(20, 60)(21, 61)(22, 64)(23, 67)(24, 68)(25, 69)(26, 70)(27, 71)(28, 72)(29, 73)(30, 74)(31, 75)(32, 76)(33, 77)(34, 78)(35, 79)(36, 80)(37, 81)(38, 82)(39, 83)(40, 84)(41, 85)(42, 86)(43, 87)(44, 88)
	local type(s) :: { ( 22, 44 ), ( 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44 ) }
Outer automorphisms :: reflexible
Dual of E10.210
Graph:: bipartite
	v = 23 e = 44 f = 3
	degree seq :: [ 2^22, 44 ]

E10.228 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {11, 22, 22})
Quotient :: dipole
Aut^+ = C22 (small group id <22, 2>)
Aut   = D44 (small group id <44, 3>)
|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^-1 * Y3^-1 * Y1^-2 * Y3^-1 * Y1^-3, (Y3 * Y2^-1)^11 ]
Map::
	R = (1, 23, 2, 24, 6, 28, 14, 36, 20, 42, 19, 41, 13, 35, 10, 32, 3, 25, 7, 29, 15, 37, 21, 43, 18, 40, 12, 34, 5, 27, 8, 30, 9, 31, 16, 38, 22, 44, 17, 39, 11, 33, 4, 26)(45, 67)(46, 68)(47, 69)(48, 70)(49, 71)(50, 72)(51, 73)(52, 74)(53, 75)(54, 76)(55, 77)(56, 78)(57, 79)(58, 80)(59, 81)(60, 82)(61, 83)(62, 84)(63, 85)(64, 86)(65, 87)(66, 88)
	L = (1, 47)(2, 51)(3, 53)(4, 54)(5, 45)(6, 59)(7, 60)(8, 46)(9, 50)(10, 52)(11, 57)(12, 48)(13, 49)(14, 65)(15, 66)(16, 58)(17, 63)(18, 55)(19, 56)(20, 62)(21, 61)(22, 64)(23, 67)(24, 68)(25, 69)(26, 70)(27, 71)(28, 72)(29, 73)(30, 74)(31, 75)(32, 76)(33, 77)(34, 78)(35, 79)(36, 80)(37, 81)(38, 82)(39, 83)(40, 84)(41, 85)(42, 86)(43, 87)(44, 88)
	local type(s) :: { ( 22, 44 ), ( 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44 ) }
Outer automorphisms :: reflexible
Dual of E10.212
Graph:: bipartite
	v = 23 e = 44 f = 3
	degree seq :: [ 2^22, 44 ]

E10.229 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {11, 22, 22})
Quotient :: dipole
Aut^+ = C22 (small group id <22, 2>)
Aut   = D44 (small group id <44, 3>)
|r| :: 2
Presentation :: [ Y2, R^2, (Y3^-1, Y1), (R * Y1)^2, (R * Y3)^2, Y3^3 * Y1^2, (R * Y2 * Y3^-1)^2, Y1^6 * Y3^-2, Y3^2 * Y1^-6, Y1^6 * Y3^-2, (Y3 * Y2^-1)^11 ]
Map::
	R = (1, 23, 2, 24, 6, 28, 14, 36, 20, 42, 17, 39, 9, 31, 12, 34, 5, 27, 8, 30, 15, 37, 21, 43, 18, 40, 10, 32, 3, 25, 7, 29, 13, 35, 16, 38, 22, 44, 19, 41, 11, 33, 4, 26)(45, 67)(46, 68)(47, 69)(48, 70)(49, 71)(50, 72)(51, 73)(52, 74)(53, 75)(54, 76)(55, 77)(56, 78)(57, 79)(58, 80)(59, 81)(60, 82)(61, 83)(62, 84)(63, 85)(64, 86)(65, 87)(66, 88)
	L = (1, 47)(2, 51)(3, 53)(4, 54)(5, 45)(6, 57)(7, 56)(8, 46)(9, 55)(10, 61)(11, 62)(12, 48)(13, 49)(14, 60)(15, 50)(16, 52)(17, 63)(18, 64)(19, 65)(20, 66)(21, 58)(22, 59)(23, 67)(24, 68)(25, 69)(26, 70)(27, 71)(28, 72)(29, 73)(30, 74)(31, 75)(32, 76)(33, 77)(34, 78)(35, 79)(36, 80)(37, 81)(38, 82)(39, 83)(40, 84)(41, 85)(42, 86)(43, 87)(44, 88)
	local type(s) :: { ( 22, 44 ), ( 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44 ) }
Outer automorphisms :: reflexible
Dual of E10.208
Graph:: bipartite
	v = 23 e = 44 f = 3
	degree seq :: [ 2^22, 44 ]

E10.230 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {11, 22, 22})
Quotient :: dipole
Aut^+ = C22 (small group id <22, 2>)
Aut   = D44 (small group id <44, 3>)
|r| :: 2
Presentation :: [ Y2, R^2, (Y1, Y3), (R * Y1)^2, (R * Y3)^2, Y3 * Y1 * Y3 * Y1 * Y3^2, (R * Y2 * Y3^-1)^2, Y1^3 * Y3^-1 * Y1 * Y3^-2, (Y3 * Y2^-1)^11 ]
Map::
	R = (1, 23, 2, 24, 6, 28, 14, 36, 19, 41, 12, 34, 5, 27, 8, 30, 16, 38, 20, 42, 9, 31, 17, 39, 13, 35, 18, 40, 21, 43, 10, 32, 3, 25, 7, 29, 15, 37, 22, 44, 11, 33, 4, 26)(45, 67)(46, 68)(47, 69)(48, 70)(49, 71)(50, 72)(51, 73)(52, 74)(53, 75)(54, 76)(55, 77)(56, 78)(57, 79)(58, 80)(59, 81)(60, 82)(61, 83)(62, 84)(63, 85)(64, 86)(65, 87)(66, 88)
	L = (1, 47)(2, 51)(3, 53)(4, 54)(5, 45)(6, 59)(7, 61)(8, 46)(9, 63)(10, 64)(11, 65)(12, 48)(13, 49)(14, 66)(15, 57)(16, 50)(17, 56)(18, 52)(19, 55)(20, 58)(21, 60)(22, 62)(23, 67)(24, 68)(25, 69)(26, 70)(27, 71)(28, 72)(29, 73)(30, 74)(31, 75)(32, 76)(33, 77)(34, 78)(35, 79)(36, 80)(37, 81)(38, 82)(39, 83)(40, 84)(41, 85)(42, 86)(43, 87)(44, 88)
	local type(s) :: { ( 22, 44 ), ( 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44 ) }
Outer automorphisms :: reflexible
Dual of E10.206
Graph:: bipartite
	v = 23 e = 44 f = 3
	degree seq :: [ 2^22, 44 ]

E10.231 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {11, 22, 22})
Quotient :: dipole
Aut^+ = C22 (small group id <22, 2>)
Aut   = D44 (small group id <44, 3>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y1)^2, (R * Y3)^2, (Y3^-1, Y1), Y1^2 * Y3^-1 * Y1^-2 * Y3, Y3^-2 * Y1 * Y3^-1 * Y1 * Y3^-1, (R * Y2 * Y3^-1)^2, Y3 * Y1^2 * Y3^2 * Y1^2, (Y3 * Y2^-1)^11 ]
Map::
	R = (1, 23, 2, 24, 6, 28, 14, 36, 19, 41, 10, 32, 3, 25, 7, 29, 15, 37, 22, 44, 13, 35, 18, 40, 9, 31, 17, 39, 21, 43, 12, 34, 5, 27, 8, 30, 16, 38, 20, 42, 11, 33, 4, 26)(45, 67)(46, 68)(47, 69)(48, 70)(49, 71)(50, 72)(51, 73)(52, 74)(53, 75)(54, 76)(55, 77)(56, 78)(57, 79)(58, 80)(59, 81)(60, 82)(61, 83)(62, 84)(63, 85)(64, 86)(65, 87)(66, 88)
	L = (1, 47)(2, 51)(3, 53)(4, 54)(5, 45)(6, 59)(7, 61)(8, 46)(9, 60)(10, 62)(11, 63)(12, 48)(13, 49)(14, 66)(15, 65)(16, 50)(17, 64)(18, 52)(19, 57)(20, 58)(21, 55)(22, 56)(23, 67)(24, 68)(25, 69)(26, 70)(27, 71)(28, 72)(29, 73)(30, 74)(31, 75)(32, 76)(33, 77)(34, 78)(35, 79)(36, 80)(37, 81)(38, 82)(39, 83)(40, 84)(41, 85)(42, 86)(43, 87)(44, 88)
	local type(s) :: { ( 22, 44 ), ( 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44 ) }
Outer automorphisms :: reflexible
Dual of E10.211
Graph:: bipartite
	v = 23 e = 44 f = 3
	degree seq :: [ 2^22, 44 ]

E10.232 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {3, 3, 3, 4})
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, Y2^3, Y3^3, Y1^3, Y2 * Y3 * Y2^-1 * Y1^-1, Y3 * Y1^-1 * Y3^-1 * Y2, Y2 * Y3 * Y1^-1 * Y3^-1, Y2 * Y3 * Y1^-1 * Y3^-1, (R * Y3)^2, R * Y1 * R * Y2, Y1^-1 * Y3 * Y1 * Y2^-1, Y1^-1 * Y2^-1 * Y1^-1 * Y3^-1 * Y2^-1 * Y1^-1 * Y3^-1 * Y2^-1 * Y1^-1 * Y3^-1 * Y2 ]
Map:: polytopal non-degenerate
	R = (1, 25, 4, 28, 7, 31)(2, 26, 9, 33, 11, 35)(3, 27, 8, 32, 14, 38)(5, 29, 13, 37, 19, 43)(6, 30, 16, 40, 20, 44)(10, 34, 23, 47, 15, 39)(12, 36, 22, 46, 18, 42)(17, 41, 21, 45, 24, 48)(49, 50, 53)(51, 60, 61)(52, 56, 64)(54, 65, 67)(55, 58, 69)(57, 62, 71)(59, 66, 72)(63, 70, 68)(73, 75, 78)(74, 80, 82)(76, 87, 89)(77, 86, 90)(79, 83, 91)(81, 94, 93)(84, 88, 95)(85, 92, 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) :: { ( 16^3 ), ( 16^6 ) }
Outer automorphisms :: reflexible
Dual of E10.235
Graph:: simple bipartite
	v = 24 e = 48 f = 6
	degree seq :: [ 3^16, 6^8 ]

E10.233 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {3, 3, 3, 4})
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 * Y2^-1, Y2^3, Y1^3, (R * Y3)^2, R * Y2 * R * Y1, Y3^4, Y3^-2 * Y2 * Y3^-2 * Y1^-1, Y3 * Y1^-1 * Y3 * Y2^-1 * Y3 * Y1^-1, (Y1^-1 * Y3^-1 * Y2^-1)^3 ]
Map:: polytopal non-degenerate
	R = (1, 25, 3, 27, 9, 33, 5, 29)(2, 26, 6, 30, 16, 40, 7, 31)(4, 28, 11, 35, 22, 46, 12, 36)(8, 32, 20, 44, 13, 37, 21, 45)(10, 34, 18, 42, 14, 38, 15, 39)(17, 41, 24, 48, 19, 43, 23, 47)(49, 50, 52)(51, 56, 58)(53, 61, 62)(54, 63, 65)(55, 66, 67)(57, 64, 70)(59, 71, 68)(60, 72, 69)(73, 74, 76)(75, 80, 82)(77, 85, 86)(78, 87, 89)(79, 90, 91)(81, 88, 94)(83, 95, 92)(84, 96, 93)
	L = (1, 49)(2, 50)(3, 51)(4, 52)(5, 53)(6, 54)(7, 55)(8, 56)(9, 57)(10, 58)(11, 59)(12, 60)(13, 61)(14, 62)(15, 63)(16, 64)(17, 65)(18, 66)(19, 67)(20, 68)(21, 69)(22, 70)(23, 71)(24, 72)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 12^3 ), ( 12^8 ) }
Outer automorphisms :: reflexible
Dual of E10.234
Graph:: simple bipartite
	v = 22 e = 48 f = 8
	degree seq :: [ 3^16, 8^6 ]

E10.234 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {3, 3, 3, 4})
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, Y2^3, Y3^3, Y1^3, Y2 * Y3 * Y2^-1 * Y1^-1, Y3 * Y1^-1 * Y3^-1 * Y2, Y2 * Y3 * Y1^-1 * Y3^-1, Y2 * Y3 * Y1^-1 * Y3^-1, (R * Y3)^2, R * Y1 * R * Y2, Y1^-1 * Y3 * Y1 * Y2^-1, Y1^-1 * Y2^-1 * Y1^-1 * Y3^-1 * Y2^-1 * Y1^-1 * Y3^-1 * Y2^-1 * Y1^-1 * Y3^-1 * Y2 ]
Map:: polytopal 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, 8, 32, 56, 80, 14, 38, 62, 86)(5, 29, 53, 77, 13, 37, 61, 85, 19, 43, 67, 91)(6, 30, 54, 78, 16, 40, 64, 88, 20, 44, 68, 92)(10, 34, 58, 82, 23, 47, 71, 95, 15, 39, 63, 87)(12, 36, 60, 84, 22, 46, 70, 94, 18, 42, 66, 90)(17, 41, 65, 89, 21, 45, 69, 93, 24, 48, 72, 96)
	L = (1, 26)(2, 29)(3, 36)(4, 32)(5, 25)(6, 41)(7, 34)(8, 40)(9, 38)(10, 45)(11, 42)(12, 37)(13, 27)(14, 47)(15, 46)(16, 28)(17, 43)(18, 48)(19, 30)(20, 39)(21, 31)(22, 44)(23, 33)(24, 35)(49, 75)(50, 80)(51, 78)(52, 87)(53, 86)(54, 73)(55, 83)(56, 82)(57, 94)(58, 74)(59, 91)(60, 88)(61, 92)(62, 90)(63, 89)(64, 95)(65, 76)(66, 77)(67, 79)(68, 96)(69, 81)(70, 93)(71, 84)(72, 85)
	local type(s) :: { ( 3, 8, 3, 8, 3, 8, 3, 8, 3, 8, 3, 8 ) }
Outer automorphisms :: reflexible
Dual of E10.233
Transitivity :: VT+
Graph::
	v = 8 e = 48 f = 22
	degree seq :: [ 12^8 ]

E10.235 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {3, 3, 3, 4})
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 * Y2^-1, Y2^3, Y1^3, (R * Y3)^2, R * Y2 * R * Y1, Y3^4, Y3^-2 * Y2 * Y3^-2 * Y1^-1, Y3 * Y1^-1 * Y3 * Y2^-1 * Y3 * Y1^-1, (Y1^-1 * Y3^-1 * Y2^-1)^3 ]
Map:: polytopal non-degenerate
	R = (1, 25, 49, 73, 3, 27, 51, 75, 9, 33, 57, 81, 5, 29, 53, 77)(2, 26, 50, 74, 6, 30, 54, 78, 16, 40, 64, 88, 7, 31, 55, 79)(4, 28, 52, 76, 11, 35, 59, 83, 22, 46, 70, 94, 12, 36, 60, 84)(8, 32, 56, 80, 20, 44, 68, 92, 13, 37, 61, 85, 21, 45, 69, 93)(10, 34, 58, 82, 18, 42, 66, 90, 14, 38, 62, 86, 15, 39, 63, 87)(17, 41, 65, 89, 24, 48, 72, 96, 19, 43, 67, 91, 23, 47, 71, 95)
	L = (1, 26)(2, 28)(3, 32)(4, 25)(5, 37)(6, 39)(7, 42)(8, 34)(9, 40)(10, 27)(11, 47)(12, 48)(13, 38)(14, 29)(15, 41)(16, 46)(17, 30)(18, 43)(19, 31)(20, 35)(21, 36)(22, 33)(23, 44)(24, 45)(49, 74)(50, 76)(51, 80)(52, 73)(53, 85)(54, 87)(55, 90)(56, 82)(57, 88)(58, 75)(59, 95)(60, 96)(61, 86)(62, 77)(63, 89)(64, 94)(65, 78)(66, 91)(67, 79)(68, 83)(69, 84)(70, 81)(71, 92)(72, 93)
	local type(s) :: { ( 3, 6, 3, 6, 3, 6, 3, 6, 3, 6, 3, 6, 3, 6, 3, 6 ) }
Outer automorphisms :: reflexible
Dual of E10.232
Transitivity :: VT+
Graph::
	v = 6 e = 48 f = 24
	degree seq :: [ 16^6 ]

E10.236 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 3, 3, 4})
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 * Y2, Y2^3, Y1^3, (R * Y1)^2, R * Y2 * R * Y3^-1, (Y3 * Y2^-1)^3, Y3 * Y1^-1 * Y2 * Y1 * Y3^-1 * Y1^-1, Y3 * Y1 * Y2 * Y1 * Y2^-1 * Y1^-1, (Y3^-1 * Y1^-1)^4 ]
Map:: non-degenerate
	R = (1, 25, 2, 26, 5, 29)(3, 27, 8, 32, 9, 33)(4, 28, 10, 34, 11, 35)(6, 30, 14, 38, 15, 39)(7, 31, 16, 40, 17, 41)(12, 36, 18, 42, 23, 47)(13, 37, 20, 44, 22, 46)(19, 43, 21, 45, 24, 48)(49, 73, 51, 75, 52, 76)(50, 74, 54, 78, 55, 79)(53, 77, 60, 84, 61, 85)(56, 80, 62, 86, 66, 90)(57, 81, 67, 91, 68, 92)(58, 82, 63, 87, 69, 93)(59, 83, 65, 89, 70, 94)(64, 88, 71, 95, 72, 96)
	L = (1, 52)(2, 55)(3, 49)(4, 51)(5, 61)(6, 50)(7, 54)(8, 66)(9, 68)(10, 69)(11, 70)(12, 53)(13, 60)(14, 56)(15, 58)(16, 72)(17, 59)(18, 62)(19, 57)(20, 67)(21, 63)(22, 65)(23, 64)(24, 71)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 6, 8, 6, 8, 6, 8 ) }
Outer automorphisms :: reflexible
Dual of E10.237
Graph:: bipartite
	v = 16 e = 48 f = 14
	degree seq :: [ 6^16 ]

E10.237 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 3, 3, 4})
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 * Y3, Y2^3, (R * Y1)^2, Y1^4, (R * Y3)^2, Y3 * Y1^-1 * Y2^-1 * Y1 * Y2^-1 * Y1^-1, Y1^-1 * Y2 * Y1^-2 * Y2^-1 * Y1^-1, Y1 * Y3 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1, (Y3 * Y2^-1)^3, Y2 * Y1^-1 * Y2 * Y1^-1 * Y3^-1 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 25, 2, 26, 6, 30, 5, 29)(3, 27, 9, 33, 15, 39, 10, 34)(4, 28, 11, 35, 16, 40, 12, 36)(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, 52, 76)(50, 74, 55, 79, 56, 80)(53, 77, 61, 85, 62, 86)(54, 78, 63, 87, 64, 88)(57, 81, 68, 92, 69, 93)(58, 82, 67, 91, 70, 94)(59, 83, 71, 95, 65, 89)(60, 84, 72, 96, 66, 90)
	L = (1, 52)(2, 56)(3, 49)(4, 51)(5, 62)(6, 64)(7, 50)(8, 55)(9, 69)(10, 70)(11, 65)(12, 66)(13, 53)(14, 61)(15, 54)(16, 63)(17, 71)(18, 72)(19, 58)(20, 57)(21, 68)(22, 67)(23, 59)(24, 60)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 6^6 ), ( 6^8 ) }
Outer automorphisms :: reflexible
Dual of E10.236
Graph:: bipartite
	v = 14 e = 48 f = 16
	degree seq :: [ 6^8, 8^6 ]

E10.238 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 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, Y2^-1 * Y1, Y3^4, Y1^4, R * Y2 * R * Y1, (R * Y3)^2, Y2^4, Y3^2 * Y1^-1 * Y3^-2 * Y1^-1, (Y1^-1 * Y3 * Y1^-1)^2, (Y1^-1 * Y3^-1 * Y2^-1)^2, Y3 * Y1 * Y3^-1 * Y1 * Y3 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 25, 3, 27, 10, 34, 5, 29)(2, 26, 7, 31, 19, 43, 8, 32)(4, 28, 12, 36, 23, 47, 13, 37)(6, 30, 16, 40, 24, 48, 17, 41)(9, 33, 18, 42, 15, 39, 22, 46)(11, 35, 21, 45, 14, 38, 20, 44)(49, 50, 54, 52)(51, 57, 65, 59)(53, 62, 64, 63)(55, 66, 61, 68)(56, 69, 60, 70)(58, 71, 72, 67)(73, 74, 78, 76)(75, 81, 89, 83)(77, 86, 88, 87)(79, 90, 85, 92)(80, 93, 84, 94)(82, 95, 96, 91)
	L = (1, 49)(2, 50)(3, 51)(4, 52)(5, 53)(6, 54)(7, 55)(8, 56)(9, 57)(10, 58)(11, 59)(12, 60)(13, 61)(14, 62)(15, 63)(16, 64)(17, 65)(18, 66)(19, 67)(20, 68)(21, 69)(22, 70)(23, 71)(24, 72)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 8^4 ), ( 8^8 ) }
Outer automorphisms :: reflexible
Dual of E10.241
Graph:: simple bipartite
	v = 18 e = 48 f = 12
	degree seq :: [ 4^12, 8^6 ]

E10.239 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 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, Y3^2, Y1 * Y2^-1, (R * Y3)^2, R * Y2 * R * Y1, Y1^3 * Y2, Y2^4, Y1^-1 * Y3 * Y2^-1 * Y3 * Y1^-1 * Y3, Y1^-1 * Y3 * Y1^2 * Y3 * Y2^-1 * Y3 * Y1^2 * Y3 ]
Map:: polytopal non-degenerate
	R = (1, 25, 3, 27)(2, 26, 6, 30)(4, 28, 9, 33)(5, 29, 10, 34)(7, 31, 14, 38)(8, 32, 11, 35)(12, 36, 16, 40)(13, 37, 19, 43)(15, 39, 17, 41)(18, 42, 22, 46)(20, 44, 23, 47)(21, 45, 24, 48)(49, 50, 53, 52)(51, 55, 61, 56)(54, 59, 66, 60)(57, 63, 68, 62)(58, 64, 69, 65)(67, 71, 72, 70)(73, 74, 77, 76)(75, 79, 85, 80)(78, 83, 90, 84)(81, 87, 92, 86)(82, 88, 93, 89)(91, 95, 96, 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) :: { ( 16^4 ) }
Outer automorphisms :: reflexible
Dual of E10.240
Graph:: simple bipartite
	v = 24 e = 48 f = 6
	degree seq :: [ 4^24 ]

E10.240 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 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, Y2^-1 * Y1, Y3^4, Y1^4, R * Y2 * R * Y1, (R * Y3)^2, Y2^4, Y3^2 * Y1^-1 * Y3^-2 * Y1^-1, (Y1^-1 * Y3 * Y1^-1)^2, (Y1^-1 * Y3^-1 * Y2^-1)^2, Y3 * Y1 * Y3^-1 * Y1 * Y3 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 25, 49, 73, 3, 27, 51, 75, 10, 34, 58, 82, 5, 29, 53, 77)(2, 26, 50, 74, 7, 31, 55, 79, 19, 43, 67, 91, 8, 32, 56, 80)(4, 28, 52, 76, 12, 36, 60, 84, 23, 47, 71, 95, 13, 37, 61, 85)(6, 30, 54, 78, 16, 40, 64, 88, 24, 48, 72, 96, 17, 41, 65, 89)(9, 33, 57, 81, 18, 42, 66, 90, 15, 39, 63, 87, 22, 46, 70, 94)(11, 35, 59, 83, 21, 45, 69, 93, 14, 38, 62, 86, 20, 44, 68, 92)
	L = (1, 26)(2, 30)(3, 33)(4, 25)(5, 38)(6, 28)(7, 42)(8, 45)(9, 41)(10, 47)(11, 27)(12, 46)(13, 44)(14, 40)(15, 29)(16, 39)(17, 35)(18, 37)(19, 34)(20, 31)(21, 36)(22, 32)(23, 48)(24, 43)(49, 74)(50, 78)(51, 81)(52, 73)(53, 86)(54, 76)(55, 90)(56, 93)(57, 89)(58, 95)(59, 75)(60, 94)(61, 92)(62, 88)(63, 77)(64, 87)(65, 83)(66, 85)(67, 82)(68, 79)(69, 84)(70, 80)(71, 96)(72, 91)
	local type(s) :: { ( 4^16 ) }
Outer automorphisms :: reflexible
Dual of E10.239
Transitivity :: VT+
Graph::
	v = 6 e = 48 f = 24
	degree seq :: [ 16^6 ]

E10.241 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 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, Y3^2, Y1 * Y2^-1, (R * Y3)^2, R * Y2 * R * Y1, Y1^3 * Y2, Y2^4, Y1^-1 * Y3 * Y2^-1 * Y3 * Y1^-1 * Y3, Y1^-1 * Y3 * Y1^2 * Y3 * Y2^-1 * Y3 * Y1^2 * Y3 ]
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, 10, 34, 58, 82)(7, 31, 55, 79, 14, 38, 62, 86)(8, 32, 56, 80, 11, 35, 59, 83)(12, 36, 60, 84, 16, 40, 64, 88)(13, 37, 61, 85, 19, 43, 67, 91)(15, 39, 63, 87, 17, 41, 65, 89)(18, 42, 66, 90, 22, 46, 70, 94)(20, 44, 68, 92, 23, 47, 71, 95)(21, 45, 69, 93, 24, 48, 72, 96)
	L = (1, 26)(2, 29)(3, 31)(4, 25)(5, 28)(6, 35)(7, 37)(8, 27)(9, 39)(10, 40)(11, 42)(12, 30)(13, 32)(14, 33)(15, 44)(16, 45)(17, 34)(18, 36)(19, 47)(20, 38)(21, 41)(22, 43)(23, 48)(24, 46)(49, 74)(50, 77)(51, 79)(52, 73)(53, 76)(54, 83)(55, 85)(56, 75)(57, 87)(58, 88)(59, 90)(60, 78)(61, 80)(62, 81)(63, 92)(64, 93)(65, 82)(66, 84)(67, 95)(68, 86)(69, 89)(70, 91)(71, 96)(72, 94)
	local type(s) :: { ( 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E10.238
Transitivity :: VT+
Graph::
	v = 12 e = 48 f = 18
	degree seq :: [ 8^12 ]

E10.242 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 4, 4})
Quotient :: dipole
Aut^+ = S4 (small group id <24, 12>)
Aut   = C2 x S4 (small group id <48, 48>)
|r| :: 2
Presentation :: [ Y1^2, Y3^2, R^2, Y2^2 * Y3, (R * Y2)^2, (R * Y3)^2, (R * Y1)^2, (Y2 * Y1)^3, (Y1 * Y2^-1)^3, (Y3 * Y1)^4 ]
Map:: non-degenerate
	R = (1, 25, 2, 26)(3, 27, 9, 33)(4, 28, 10, 34)(5, 29, 11, 35)(6, 30, 12, 36)(7, 31, 13, 37)(8, 32, 14, 38)(15, 39, 24, 48)(16, 40, 17, 41)(18, 42, 23, 47)(19, 43, 20, 44)(21, 45, 22, 46)(49, 73, 51, 75, 52, 76, 53, 77)(50, 74, 54, 78, 55, 79, 56, 80)(57, 81, 62, 86, 63, 87, 64, 88)(58, 82, 65, 89, 66, 90, 67, 91)(59, 83, 68, 92, 69, 93, 60, 84)(61, 85, 70, 94, 71, 95, 72, 96)
	L = (1, 52)(2, 55)(3, 53)(4, 49)(5, 51)(6, 56)(7, 50)(8, 54)(9, 63)(10, 66)(11, 69)(12, 68)(13, 71)(14, 64)(15, 57)(16, 62)(17, 67)(18, 58)(19, 65)(20, 60)(21, 59)(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) :: { ( 8^4 ), ( 8^8 ) }
Outer automorphisms :: reflexible
Dual of E10.243
Graph:: bipartite
	v = 18 e = 48 f = 12
	degree seq :: [ 4^12, 8^6 ]

E10.243 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 4, 4})
Quotient :: dipole
Aut^+ = S4 (small group id <24, 12>)
Aut   = C2 x S4 (small group id <48, 48>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2^2 * Y3, (Y1^-1 * Y3)^2, (R * Y3)^2, (R * Y1)^2, (Y1^-1 * Y3)^2, Y1^4, (R * Y2)^2, (Y2 * Y1^-2)^2, Y2 * Y1 * Y2^-1 * Y1 * Y2 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 25, 2, 26, 7, 31, 5, 29)(3, 27, 11, 35, 20, 44, 12, 36)(4, 28, 13, 37, 19, 43, 9, 33)(6, 30, 16, 40, 18, 42, 17, 41)(8, 32, 21, 45, 15, 39, 22, 46)(10, 34, 23, 47, 14, 38, 24, 48)(49, 73, 51, 75, 52, 76, 54, 78)(50, 74, 56, 80, 57, 81, 58, 82)(53, 77, 62, 86, 61, 85, 63, 87)(55, 79, 66, 90, 67, 91, 68, 92)(59, 83, 69, 93, 65, 89, 72, 96)(60, 84, 71, 95, 64, 88, 70, 94)
	L = (1, 52)(2, 57)(3, 54)(4, 49)(5, 61)(6, 51)(7, 67)(8, 58)(9, 50)(10, 56)(11, 65)(12, 64)(13, 53)(14, 63)(15, 62)(16, 60)(17, 59)(18, 68)(19, 55)(20, 66)(21, 72)(22, 71)(23, 70)(24, 69)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E10.242
Graph:: bipartite
	v = 12 e = 48 f = 18
	degree seq :: [ 8^12 ]

E10.244 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 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 :: [ Y1^2, R^2, Y2^3, Y3^3, (R * Y3)^2, Y3 * Y1 * Y3^-1 * Y1, Y1 * Y2 * Y1 * Y2^-1, (R * Y1)^2, (R * Y3)^2, Y2^-1 * Y1 * Y3 * Y2^-1 * Y3, (R * Y2 * Y3^-1)^2, Y3 * Y2 * R * Y2 * R * 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, 19, 43)(12, 36, 14, 38)(13, 37, 20, 44)(15, 39, 17, 41)(16, 40, 21, 45)(18, 42, 22, 46)(23, 47, 24, 48)(49, 73, 51, 75, 53, 77)(50, 74, 55, 79, 57, 81)(52, 76, 61, 85, 62, 86)(54, 78, 65, 89, 66, 90)(56, 80, 68, 92, 60, 84)(58, 82, 63, 87, 70, 94)(59, 83, 71, 95, 69, 93)(64, 88, 67, 91, 72, 96)
	L = (1, 52)(2, 56)(3, 59)(4, 54)(5, 63)(6, 49)(7, 67)(8, 58)(9, 65)(10, 50)(11, 60)(12, 51)(13, 71)(14, 55)(15, 64)(16, 53)(17, 69)(18, 68)(19, 62)(20, 72)(21, 57)(22, 61)(23, 70)(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 ) }
Outer automorphisms :: reflexible
Dual of E10.247
Graph:: simple bipartite
	v = 20 e = 48 f = 10
	degree seq :: [ 4^12, 6^8 ]

E10.245 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 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, Y1^3, Y1 * Y3^-2, Y3^-1 * Y2^-2 * Y1^-1, Y2^-1 * Y1 * Y3 * Y2^-1, Y2^4, Y1^-1 * Y2^-2 * Y3^-1, (R * Y1)^2, (R * Y3)^2, Y2 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y3, (R * Y2 * Y3^-1)^2, (Y1^-1 * Y2)^6 ]
Map:: non-degenerate
	R = (1, 25, 2, 26, 5, 29)(3, 27, 11, 35, 13, 37)(4, 28, 9, 33, 7, 31)(6, 30, 14, 38, 12, 36)(8, 32, 17, 41, 19, 43)(10, 34, 20, 44, 18, 42)(15, 39, 23, 47, 21, 45)(16, 40, 24, 48, 22, 46)(49, 73, 51, 75, 57, 81, 54, 78)(50, 74, 56, 80, 55, 79, 58, 82)(52, 76, 63, 87, 53, 77, 64, 88)(59, 83, 69, 93, 62, 86, 70, 94)(60, 84, 68, 92, 61, 85, 65, 89)(66, 90, 71, 95, 67, 91, 72, 96)
	L = (1, 52)(2, 57)(3, 60)(4, 50)(5, 55)(6, 61)(7, 49)(8, 66)(9, 53)(10, 67)(11, 54)(12, 59)(13, 62)(14, 51)(15, 70)(16, 69)(17, 58)(18, 65)(19, 68)(20, 56)(21, 72)(22, 71)(23, 64)(24, 63)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 4, 12, 4, 12, 4, 12 ), ( 4, 12, 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E10.246
Graph:: bipartite
	v = 14 e = 48 f = 16
	degree seq :: [ 6^8, 8^6 ]

E10.246 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 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 :: [ Y2^2, R^2, Y3 * Y2 * Y3^2, Y1^-3 * Y2, (R * Y1)^2, (R * Y3)^2, (R * Y2)^2, Y2 * Y1 * Y2 * Y1^-1, Y3 * Y2 * Y3^-1 * Y2, Y2 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 ]
Map:: non-degenerate
	R = (1, 25, 2, 26, 7, 31, 3, 27, 8, 32, 5, 29)(4, 28, 13, 37, 22, 46, 11, 35, 16, 40, 14, 38)(6, 30, 17, 41, 9, 33, 12, 36, 23, 47, 18, 42)(10, 34, 21, 45, 19, 43, 20, 44, 24, 48, 15, 39)(49, 73, 51, 75)(50, 74, 56, 80)(52, 76, 59, 83)(53, 77, 55, 79)(54, 78, 60, 84)(57, 81, 66, 90)(58, 82, 68, 92)(61, 85, 64, 88)(62, 86, 70, 94)(63, 87, 67, 91)(65, 89, 71, 95)(69, 93, 72, 96)
	L = (1, 52)(2, 57)(3, 59)(4, 60)(5, 63)(6, 49)(7, 67)(8, 66)(9, 68)(10, 50)(11, 54)(12, 51)(13, 55)(14, 72)(15, 61)(16, 53)(17, 62)(18, 58)(19, 64)(20, 56)(21, 65)(22, 69)(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) :: { ( 6, 8, 6, 8 ), ( 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8 ) }
Outer automorphisms :: reflexible
Dual of E10.245
Graph:: bipartite
	v = 16 e = 48 f = 14
	degree seq :: [ 4^12, 12^4 ]

E10.247 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 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, Y2^2 * Y3, Y1 * Y2 * Y3^-1 * Y1, Y2 * Y1^2 * Y3^-1, Y3 * Y1^2 * Y2^-1, (Y2^-1 * Y3)^2, (R * Y1)^2, (R * Y2)^2, (R * Y3)^2, Y3^-1 * Y1 * Y2^-1 * Y1^-1 * Y3^-1 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 25, 2, 26, 8, 32, 5, 29)(3, 27, 13, 37, 4, 28, 14, 38)(6, 30, 15, 39, 7, 31, 16, 40)(9, 33, 17, 41, 10, 34, 18, 42)(11, 35, 19, 43, 12, 36, 20, 44)(21, 45, 23, 47, 22, 46, 24, 48)(49, 73, 51, 75, 55, 79, 56, 80, 52, 76, 54, 78)(50, 74, 57, 81, 60, 84, 53, 77, 58, 82, 59, 83)(61, 85, 68, 92, 70, 94, 62, 86, 67, 91, 69, 93)(63, 87, 71, 95, 66, 90, 64, 88, 72, 96, 65, 89)
	L = (1, 52)(2, 58)(3, 54)(4, 55)(5, 57)(6, 56)(7, 49)(8, 51)(9, 59)(10, 60)(11, 53)(12, 50)(13, 67)(14, 68)(15, 72)(16, 71)(17, 64)(18, 63)(19, 70)(20, 69)(21, 62)(22, 61)(23, 65)(24, 66)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 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 E10.244
Graph:: bipartite
	v = 10 e = 48 f = 20
	degree seq :: [ 8^6, 12^4 ]

E10.248 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 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 :: [ Y1^2, R^2, Y2 * Y1 * Y2, Y3^3, Y3 * Y1 * Y3^-1 * Y1, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, (Y2 * Y3^-1)^3 ]
Map:: non-degenerate
	R = (1, 25, 2, 26)(3, 27, 5, 29)(4, 28, 7, 31)(6, 30, 8, 32)(9, 33, 13, 37)(10, 34, 14, 38)(11, 35, 12, 36)(15, 39, 16, 40)(17, 41, 18, 42)(19, 43, 20, 44)(21, 45, 22, 46)(23, 47, 24, 48)(49, 73, 51, 75, 50, 74, 53, 77)(52, 76, 59, 83, 55, 79, 60, 84)(54, 78, 63, 87, 56, 80, 64, 88)(57, 81, 65, 89, 61, 85, 66, 90)(58, 82, 67, 91, 62, 86, 68, 92)(69, 93, 72, 96, 70, 94, 71, 95)
	L = (1, 52)(2, 55)(3, 57)(4, 54)(5, 61)(6, 49)(7, 56)(8, 50)(9, 58)(10, 51)(11, 68)(12, 67)(13, 62)(14, 53)(15, 71)(16, 72)(17, 63)(18, 64)(19, 70)(20, 69)(21, 59)(22, 60)(23, 65)(24, 66)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 6, 12, 6, 12 ), ( 6, 12, 6, 12, 6, 12, 6, 12 ) }
Outer automorphisms :: reflexible
Dual of E10.249
Graph:: bipartite
	v = 18 e = 48 f = 12
	degree seq :: [ 4^12, 8^6 ]

E10.249 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 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, Y1^3, Y1 * Y3^-2, Y2 * Y1 * Y2 * Y3^-1, (R * Y3)^2, (R * Y1)^2, (Y3^-1 * Y1^-1)^2, Y2^-1 * Y3 * Y1 * Y2^-2, Y2^-1 * Y3 * Y2^2 * Y3, (R * Y2 * Y3^-1)^2, (Y2 * Y1^-1)^3 ]
Map:: non-degenerate
	R = (1, 25, 2, 26, 5, 29)(3, 27, 11, 35, 14, 38)(4, 28, 9, 33, 7, 31)(6, 30, 18, 42, 19, 43)(8, 32, 12, 36, 21, 45)(10, 34, 23, 47, 16, 40)(13, 37, 20, 44, 15, 39)(17, 41, 22, 46, 24, 48)(49, 73, 51, 75, 60, 84, 57, 81, 68, 92, 54, 78)(50, 74, 56, 80, 70, 94, 55, 79, 67, 91, 58, 82)(52, 76, 64, 88, 63, 87, 53, 77, 65, 89, 59, 83)(61, 85, 72, 96, 66, 90, 62, 86, 71, 95, 69, 93)
	L = (1, 52)(2, 57)(3, 61)(4, 50)(5, 55)(6, 56)(7, 49)(8, 66)(9, 53)(10, 65)(11, 68)(12, 67)(13, 59)(14, 63)(15, 51)(16, 72)(17, 71)(18, 60)(19, 69)(20, 62)(21, 54)(22, 64)(23, 70)(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, 8, 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E10.248
Graph:: bipartite
	v = 12 e = 48 f = 18
	degree seq :: [ 6^8, 12^4 ]

E10.250 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 4, 6})
Quotient :: dipole
Aut^+ = (C6 x C2) : C2 (small group id <24, 8>)
Aut   = D8 x S3 (small group id <48, 38>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^3, (R * Y3)^2, (R * Y1)^2, Y3^4, Y3 * Y2^-1 * Y3^-1 * Y2^-1, (Y2^-1 * Y1)^2, R * Y2 * R * Y2^-1, Y1 * Y3 * Y1 * Y2^-1 * Y3 ]
Map:: non-degenerate
	R = (1, 25, 2, 26)(3, 27, 9, 33)(4, 28, 13, 37)(5, 29, 7, 31)(6, 30, 17, 41)(8, 32, 16, 40)(10, 34, 14, 38)(11, 35, 19, 43)(12, 36, 18, 42)(15, 39, 20, 44)(21, 45, 22, 46)(23, 47, 24, 48)(49, 73, 51, 75, 53, 77)(50, 74, 55, 79, 57, 81)(52, 76, 62, 86, 59, 83)(54, 78, 64, 88, 60, 84)(56, 80, 65, 89, 66, 90)(58, 82, 61, 85, 67, 91)(63, 87, 69, 93, 71, 95)(68, 92, 72, 96, 70, 94)
	L = (1, 52)(2, 56)(3, 59)(4, 63)(5, 62)(6, 49)(7, 66)(8, 68)(9, 65)(10, 50)(11, 69)(12, 51)(13, 57)(14, 71)(15, 54)(16, 53)(17, 70)(18, 72)(19, 55)(20, 58)(21, 60)(22, 61)(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 ) }
Outer automorphisms :: reflexible
Dual of E10.259
Graph:: simple bipartite
	v = 20 e = 48 f = 10
	degree seq :: [ 4^12, 6^8 ]

E10.251 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 4, 6})
Quotient :: dipole
Aut^+ = (C6 x C2) : C2 (small group id <24, 8>)
Aut   = D8 x S3 (small group id <48, 38>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^3, (R * Y3)^2, (R * Y1)^2, Y3^4, Y3^-1 * Y2 * Y3 * Y2, (Y2^-1 * Y1)^2, R * Y2 * R * Y2^-1, Y2^-1 * Y1 * Y3 * Y1 * Y3 ]
Map:: non-degenerate
	R = (1, 25, 2, 26)(3, 27, 9, 33)(4, 28, 13, 37)(5, 29, 7, 31)(6, 30, 17, 41)(8, 32, 12, 36)(10, 34, 11, 35)(14, 38, 20, 44)(15, 39, 19, 43)(16, 40, 18, 42)(21, 45, 24, 48)(22, 46, 23, 47)(49, 73, 51, 75, 53, 77)(50, 74, 55, 79, 57, 81)(52, 76, 62, 86, 59, 83)(54, 78, 64, 88, 60, 84)(56, 80, 66, 90, 65, 89)(58, 82, 68, 92, 61, 85)(63, 87, 69, 93, 71, 95)(67, 91, 70, 94, 72, 96)
	L = (1, 52)(2, 56)(3, 59)(4, 63)(5, 62)(6, 49)(7, 65)(8, 67)(9, 66)(10, 50)(11, 69)(12, 51)(13, 55)(14, 71)(15, 54)(16, 53)(17, 70)(18, 72)(19, 58)(20, 57)(21, 60)(22, 61)(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 ) }
Outer automorphisms :: reflexible
Dual of E10.260
Graph:: simple bipartite
	v = 20 e = 48 f = 10
	degree seq :: [ 4^12, 6^8 ]

E10.252 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 4, 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, Y2^3, (R * Y2)^2, (R * Y1)^2, (Y2, Y3^-1), (R * Y3)^2, Y2^-1 * Y1 * Y2 * Y1, Y3^-4 * Y2, Y1 * Y2^-1 * Y3^-1 * Y1 * Y3^-1, Y3^2 * Y1 * Y3^-2 * Y1 ]
Map:: non-degenerate
	R = (1, 25, 2, 26)(3, 27, 7, 31)(4, 28, 13, 37)(5, 29, 9, 33)(6, 30, 17, 41)(8, 32, 16, 40)(10, 34, 11, 35)(12, 36, 21, 45)(14, 38, 20, 44)(15, 39, 19, 43)(18, 42, 22, 46)(23, 47, 24, 48)(49, 73, 51, 75, 53, 77)(50, 74, 55, 79, 57, 81)(52, 76, 59, 83, 63, 87)(54, 78, 60, 84, 64, 88)(56, 80, 65, 89, 69, 93)(58, 82, 67, 91, 61, 85)(62, 86, 71, 95, 66, 90)(68, 92, 72, 96, 70, 94)
	L = (1, 52)(2, 56)(3, 59)(4, 62)(5, 63)(6, 49)(7, 65)(8, 68)(9, 69)(10, 50)(11, 71)(12, 51)(13, 57)(14, 60)(15, 66)(16, 53)(17, 72)(18, 54)(19, 55)(20, 67)(21, 70)(22, 58)(23, 64)(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) :: { ( 8, 12, 8, 12 ), ( 8, 12, 8, 12, 8, 12 ) }
Outer automorphisms :: reflexible
Dual of E10.261
Graph:: simple bipartite
	v = 20 e = 48 f = 10
	degree seq :: [ 4^12, 6^8 ]

E10.253 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 4, 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, Y1^3, Y1 * Y3^-2, Y2^-1 * Y3^-1 * Y2^-1 * Y3, (R * Y3)^2, R * Y2 * R * Y2^-1, (Y1^-1, Y2^-1), (R * Y1)^2, Y2^4, (Y3^-1 * Y1^-1)^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, 18, 42, 22, 46)(12, 36, 19, 43, 14, 38)(15, 39, 20, 44, 17, 41)(21, 45, 24, 48, 23, 47)(49, 73, 51, 75, 59, 83, 54, 78)(50, 74, 56, 80, 66, 90, 58, 82)(52, 76, 63, 87, 69, 93, 60, 84)(53, 77, 61, 85, 70, 94, 64, 88)(55, 79, 65, 89, 71, 95, 62, 86)(57, 81, 68, 92, 72, 96, 67, 91)
	L = (1, 52)(2, 57)(3, 60)(4, 50)(5, 55)(6, 63)(7, 49)(8, 67)(9, 53)(10, 68)(11, 69)(12, 56)(13, 62)(14, 51)(15, 58)(16, 65)(17, 54)(18, 72)(19, 61)(20, 64)(21, 66)(22, 71)(23, 59)(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, 12, 4, 12, 4, 12 ), ( 4, 12, 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E10.256
Graph:: simple bipartite
	v = 14 e = 48 f = 16
	degree seq :: [ 6^8, 8^6 ]

E10.254 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 4, 6})
Quotient :: dipole
Aut^+ = (C6 x C2) : C2 (small group id <24, 8>)
Aut   = D8 x S3 (small group id <48, 38>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y1^3, (Y3 * Y1)^2, (R * Y1)^2, (R * Y3)^2, Y2^4, Y2 * Y1^-1 * Y2^-1 * Y1^-1, Y3 * Y1^-1 * Y2 * Y3 * Y2, R * Y2 * Y1 * R * Y2^-1 ]
Map:: non-degenerate
	R = (1, 25, 2, 26, 5, 29)(3, 27, 10, 34, 7, 31)(4, 28, 13, 37, 8, 32)(6, 30, 16, 40, 9, 33)(11, 35, 18, 42, 21, 45)(12, 36, 19, 43, 15, 39)(14, 38, 17, 41, 20, 44)(22, 46, 24, 48, 23, 47)(49, 73, 51, 75, 59, 83, 54, 78)(50, 74, 55, 79, 66, 90, 57, 81)(52, 76, 62, 86, 70, 94, 63, 87)(53, 77, 58, 82, 69, 93, 64, 88)(56, 80, 65, 89, 71, 95, 60, 84)(61, 85, 68, 92, 72, 96, 67, 91)
	L = (1, 52)(2, 56)(3, 60)(4, 49)(5, 61)(6, 65)(7, 67)(8, 50)(9, 68)(10, 63)(11, 70)(12, 51)(13, 53)(14, 64)(15, 58)(16, 62)(17, 54)(18, 71)(19, 55)(20, 57)(21, 72)(22, 59)(23, 66)(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, 12, 4, 12, 4, 12 ), ( 4, 12, 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E10.257
Graph:: simple bipartite
	v = 14 e = 48 f = 16
	degree seq :: [ 6^8, 8^6 ]

E10.255 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 4, 6})
Quotient :: dipole
Aut^+ = (C6 x C2) : C2 (small group id <24, 8>)
Aut   = D8 x S3 (small group id <48, 38>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y1^3, (R * Y1)^2, (R * Y3)^2, Y2^-1 * Y1 * Y2 * Y1, (Y3 * Y1^-1)^2, Y2^4, R * Y2 * R * Y1 * Y2^-1, Y2 * Y1^-1 * Y3 * Y2 * Y3 ]
Map:: non-degenerate
	R = (1, 25, 2, 26, 5, 29)(3, 27, 10, 34, 7, 31)(4, 28, 13, 37, 8, 32)(6, 30, 16, 40, 9, 33)(11, 35, 18, 42, 21, 45)(12, 36, 15, 39, 20, 44)(14, 38, 19, 43, 17, 41)(22, 46, 23, 47, 24, 48)(49, 73, 51, 75, 59, 83, 54, 78)(50, 74, 55, 79, 66, 90, 57, 81)(52, 76, 62, 86, 70, 94, 63, 87)(53, 77, 58, 82, 69, 93, 64, 88)(56, 80, 67, 91, 72, 96, 68, 92)(60, 84, 61, 85, 65, 89, 71, 95)
	L = (1, 52)(2, 56)(3, 60)(4, 49)(5, 61)(6, 65)(7, 63)(8, 50)(9, 62)(10, 68)(11, 70)(12, 51)(13, 53)(14, 57)(15, 55)(16, 67)(17, 54)(18, 72)(19, 64)(20, 58)(21, 71)(22, 59)(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) :: { ( 4, 12, 4, 12, 4, 12 ), ( 4, 12, 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E10.258
Graph:: simple bipartite
	v = 14 e = 48 f = 16
	degree seq :: [ 6^8, 8^6 ]

E10.256 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 4, 6})
Quotient :: dipole
Aut^+ = C3 x D8 (small group id <24, 10>)
Aut   = D8 x S3 (small group id <48, 38>)
|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, (Y3^-1 * Y1^-1)^4 ]
Map:: non-degenerate
	R = (1, 25, 2, 26, 7, 31, 15, 39, 13, 37, 5, 29)(3, 27, 11, 35, 4, 28, 14, 38, 6, 30, 12, 36)(8, 32, 16, 40, 9, 33, 18, 42, 10, 34, 17, 41)(19, 43, 22, 46, 20, 44, 23, 47, 21, 45, 24, 48)(49, 73, 51, 75)(50, 74, 56, 80)(52, 76, 55, 79)(53, 77, 58, 82)(54, 78, 61, 85)(57, 81, 63, 87)(59, 83, 67, 91)(60, 84, 69, 93)(62, 86, 68, 92)(64, 88, 70, 94)(65, 89, 72, 96)(66, 90, 71, 95)
	L = (1, 52)(2, 57)(3, 55)(4, 61)(5, 56)(6, 49)(7, 54)(8, 63)(9, 53)(10, 50)(11, 68)(12, 67)(13, 51)(14, 69)(15, 58)(16, 71)(17, 70)(18, 72)(19, 62)(20, 60)(21, 59)(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) :: { ( 6, 8, 6, 8 ), ( 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8 ) }
Outer automorphisms :: reflexible
Dual of E10.253
Graph:: bipartite
	v = 16 e = 48 f = 14
	degree seq :: [ 4^12, 12^4 ]

E10.257 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 4, 6})
Quotient :: dipole
Aut^+ = (C6 x C2) : C2 (small group id <24, 8>)
Aut   = D8 x S3 (small group id <48, 38>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, Y3 * Y2 * Y1^2, (R * Y3)^2, (R * Y1)^2, Y3 * Y1^4 * Y2, (R * Y2 * Y3)^2, (Y2 * Y1)^4 ]
Map:: non-degenerate
	R = (1, 25, 2, 26, 6, 30, 14, 38, 12, 36, 5, 29)(3, 27, 9, 33, 4, 28, 11, 35, 15, 39, 10, 34)(7, 31, 16, 40, 8, 32, 18, 42, 13, 37, 17, 41)(19, 43, 22, 46, 20, 44, 23, 47, 21, 45, 24, 48)(49, 73, 51, 75)(50, 74, 55, 79)(52, 76, 60, 84)(53, 77, 56, 80)(54, 78, 63, 87)(57, 81, 67, 91)(58, 82, 68, 92)(59, 83, 69, 93)(61, 85, 62, 86)(64, 88, 70, 94)(65, 89, 71, 95)(66, 90, 72, 96)
	L = (1, 52)(2, 56)(3, 54)(4, 49)(5, 61)(6, 51)(7, 62)(8, 50)(9, 68)(10, 69)(11, 67)(12, 63)(13, 53)(14, 55)(15, 60)(16, 71)(17, 72)(18, 70)(19, 59)(20, 57)(21, 58)(22, 66)(23, 64)(24, 65)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 6, 8, 6, 8 ), ( 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8 ) }
Outer automorphisms :: reflexible
Dual of E10.254
Graph:: bipartite
	v = 16 e = 48 f = 14
	degree seq :: [ 4^12, 12^4 ]

E10.258 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 4, 6})
Quotient :: dipole
Aut^+ = (C6 x C2) : C2 (small group id <24, 8>)
Aut   = D8 x S3 (small group id <48, 38>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, Y1^2 * Y2 * Y3, (R * Y3)^2, (R * Y1)^2, Y3 * Y1^-4 * Y2, (R * Y2 * Y3)^2, Y3 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 25, 2, 26, 6, 30, 14, 38, 10, 34, 5, 29)(3, 27, 9, 33, 15, 39, 12, 36, 4, 28, 11, 35)(7, 31, 16, 40, 13, 37, 18, 42, 8, 32, 17, 41)(19, 43, 22, 46, 21, 45, 24, 48, 20, 44, 23, 47)(49, 73, 51, 75)(50, 74, 55, 79)(52, 76, 54, 78)(53, 77, 61, 85)(56, 80, 62, 86)(57, 81, 67, 91)(58, 82, 63, 87)(59, 83, 69, 93)(60, 84, 68, 92)(64, 88, 70, 94)(65, 89, 72, 96)(66, 90, 71, 95)
	L = (1, 52)(2, 56)(3, 58)(4, 49)(5, 55)(6, 63)(7, 53)(8, 50)(9, 68)(10, 51)(11, 67)(12, 69)(13, 62)(14, 61)(15, 54)(16, 71)(17, 70)(18, 72)(19, 59)(20, 57)(21, 60)(22, 65)(23, 64)(24, 66)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 6, 8, 6, 8 ), ( 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8 ) }
Outer automorphisms :: reflexible
Dual of E10.255
Graph:: bipartite
	v = 16 e = 48 f = 14
	degree seq :: [ 4^12, 12^4 ]

E10.259 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 4, 6})
Quotient :: dipole
Aut^+ = (C6 x C2) : C2 (small group id <24, 8>)
Aut   = D8 x S3 (small group id <48, 38>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y1 * Y2^-1 * Y3^-1, Y3^2 * Y1^2, Y3^-1 * Y2^2 * Y1^-1, Y3^-1 * Y1^-1 * Y2^-2, (R * Y1)^2, Y1^4, (R * Y3)^2, (Y1^-1 * Y2^-1)^2, (Y3 * Y2^-1)^2, Y3 * Y2^-1 * Y1 * Y3^-1 * Y2^-1 * Y1^-1, Y3 * Y1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1, (R * Y2 * Y3^-1)^2 ]
Map:: non-degenerate
	R = (1, 25, 2, 26, 8, 32, 5, 29)(3, 27, 13, 37, 19, 43, 11, 35)(4, 28, 14, 38, 7, 31, 17, 41)(6, 30, 18, 42, 20, 44, 9, 33)(10, 34, 21, 45, 12, 36, 24, 48)(15, 39, 23, 47, 16, 40, 22, 46)(49, 73, 51, 75, 62, 86, 71, 95, 58, 82, 54, 78)(50, 74, 57, 81, 69, 93, 63, 87, 55, 79, 59, 83)(52, 76, 61, 85, 53, 77, 66, 90, 72, 96, 64, 88)(56, 80, 67, 91, 65, 89, 70, 94, 60, 84, 68, 92)
	L = (1, 52)(2, 58)(3, 63)(4, 56)(5, 60)(6, 59)(7, 49)(8, 55)(9, 70)(10, 53)(11, 68)(12, 50)(13, 54)(14, 72)(15, 67)(16, 51)(17, 69)(18, 71)(19, 64)(20, 61)(21, 62)(22, 66)(23, 57)(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, 6, 4, 6, 4, 6, 4, 6 ), ( 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible
Dual of E10.250
Graph:: bipartite
	v = 10 e = 48 f = 20
	degree seq :: [ 8^6, 12^4 ]

E10.260 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 4, 6})
Quotient :: dipole
Aut^+ = (C6 x C2) : C2 (small group id <24, 8>)
Aut   = D8 x S3 (small group id <48, 38>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1^-2 * Y3^-1, Y1^4, Y2^-1 * Y1 * Y3 * Y2^-1, (Y2^-1 * Y3^-1)^2, (Y3 * Y2^-1)^2, (R * Y3)^2, (R * Y1)^2, (Y1^-1 * Y2^-1)^2, (Y2 * Y1^-1)^2, (R * Y2 * Y3^-1)^2, Y1 * Y3 * Y2^4 ]
Map:: non-degenerate
	R = (1, 25, 2, 26, 8, 32, 5, 29)(3, 27, 13, 37, 19, 43, 11, 35)(4, 28, 15, 39, 7, 31, 17, 41)(6, 30, 14, 38, 20, 44, 9, 33)(10, 34, 21, 45, 12, 36, 23, 47)(16, 40, 24, 48, 18, 42, 22, 46)(49, 73, 51, 75, 58, 82, 70, 94, 63, 87, 54, 78)(50, 74, 57, 81, 55, 79, 66, 90, 69, 93, 59, 83)(52, 76, 64, 88, 71, 95, 61, 85, 53, 77, 62, 86)(56, 80, 67, 91, 60, 84, 72, 96, 65, 89, 68, 92)
	L = (1, 52)(2, 58)(3, 57)(4, 56)(5, 60)(6, 66)(7, 49)(8, 55)(9, 67)(10, 53)(11, 72)(12, 50)(13, 70)(14, 51)(15, 71)(16, 54)(17, 69)(18, 68)(19, 62)(20, 64)(21, 63)(22, 59)(23, 65)(24, 61)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 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 E10.251
Graph:: bipartite
	v = 10 e = 48 f = 20
	degree seq :: [ 8^6, 12^4 ]

E10.261 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 4, 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, Y1^-1 * Y3^3, Y1^-1 * Y3^-1 * Y2^-2, Y3^-1 * Y1^-1 * Y2^-2, (R * Y3)^2, (R * Y1)^2, Y1^4, (Y3 * Y2^-1)^2, (Y1, Y3^-1), Y2 * Y1^-1 * Y2^-1 * Y1^-1, (R * Y2 * Y3^-1)^2, (Y1^-1 * Y3^-1)^3 ]
Map:: non-degenerate
	R = (1, 25, 2, 26, 8, 32, 5, 29)(3, 27, 13, 37, 19, 43, 9, 33)(4, 28, 10, 34, 20, 44, 17, 41)(6, 30, 16, 40, 21, 45, 11, 35)(7, 31, 12, 36, 22, 46, 14, 38)(15, 39, 24, 48, 18, 42, 23, 47)(49, 73, 51, 75, 62, 86, 71, 95, 58, 82, 54, 78)(50, 74, 57, 81, 55, 79, 66, 90, 68, 92, 59, 83)(52, 76, 64, 88, 53, 77, 61, 85, 70, 94, 63, 87)(56, 80, 67, 91, 60, 84, 72, 96, 65, 89, 69, 93)
	L = (1, 52)(2, 58)(3, 59)(4, 60)(5, 65)(6, 66)(7, 49)(8, 68)(9, 69)(10, 70)(11, 72)(12, 50)(13, 54)(14, 53)(15, 51)(16, 71)(17, 55)(18, 67)(19, 64)(20, 62)(21, 63)(22, 56)(23, 57)(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, 6, 4, 6, 4, 6, 4, 6 ), ( 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible
Dual of E10.252
Graph:: bipartite
	v = 10 e = 48 f = 20
	degree seq :: [ 8^6, 12^4 ]

E10.262 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 4, 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^-3 * Y2^-1, (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, (Y2^-1 * Y1)^2, Y2^4, Y2^-2 * Y3 * Y1 * Y3^-1 * Y1, Y3 * Y2^-1 * Y1 * Y2 * Y3^-1 * Y1, (Y3 * Y2^-1)^3, (Y3^-2 * Y2^2)^3 ]
Map:: polytopal non-degenerate
	R = (1, 25, 2, 26)(3, 27, 9, 33)(4, 28, 14, 38)(5, 29, 7, 31)(6, 30, 17, 41)(8, 32, 21, 45)(10, 34, 24, 48)(11, 35, 18, 42)(12, 36, 19, 43)(13, 37, 20, 44)(15, 39, 22, 46)(16, 40, 23, 47)(49, 73, 51, 75, 59, 83, 53, 77)(50, 74, 55, 79, 66, 90, 57, 81)(52, 76, 60, 84, 69, 93, 64, 88)(54, 78, 61, 85, 72, 96, 63, 87)(56, 80, 67, 91, 62, 86, 71, 95)(58, 82, 68, 92, 65, 89, 70, 94)
	L = (1, 52)(2, 56)(3, 60)(4, 63)(5, 64)(6, 49)(7, 67)(8, 70)(9, 71)(10, 50)(11, 69)(12, 54)(13, 51)(14, 68)(15, 53)(16, 72)(17, 66)(18, 62)(19, 58)(20, 55)(21, 61)(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) :: { ( 6, 12, 6, 12 ), ( 6, 12, 6, 12, 6, 12, 6, 12 ) }
Outer automorphisms :: reflexible
Dual of E10.263
Graph:: simple bipartite
	v = 18 e = 48 f = 12
	degree seq :: [ 4^12, 8^6 ]

E10.263 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 4, 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, Y1^3, Y1 * Y3^-2, Y1 * Y2^-2, (R * Y3)^2, (Y2 * Y1)^2, (Y1 * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, (Y3 * Y2^-1)^4 ]
Map:: polytopal non-degenerate
	R = (1, 25, 2, 26, 5, 29)(3, 27, 8, 32, 6, 30)(4, 28, 9, 33, 7, 31)(10, 34, 14, 38, 11, 35)(12, 36, 15, 39, 13, 37)(16, 40, 18, 42, 17, 41)(19, 43, 21, 45, 20, 44)(22, 46, 24, 48, 23, 47)(49, 73, 51, 75, 50, 74, 56, 80, 53, 77, 54, 78)(52, 76, 60, 84, 57, 81, 63, 87, 55, 79, 61, 85)(58, 82, 64, 88, 62, 86, 66, 90, 59, 83, 65, 89)(67, 91, 70, 94, 69, 93, 72, 96, 68, 92, 71, 95)
	L = (1, 52)(2, 57)(3, 58)(4, 50)(5, 55)(6, 59)(7, 49)(8, 62)(9, 53)(10, 56)(11, 51)(12, 67)(13, 68)(14, 54)(15, 69)(16, 70)(17, 71)(18, 72)(19, 63)(20, 60)(21, 61)(22, 66)(23, 64)(24, 65)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 4, 8, 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E10.262
Graph:: bipartite
	v = 12 e = 48 f = 18
	degree seq :: [ 6^8, 12^4 ]

E10.264 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 6, 12})
Quotient :: halfedge^2
Aut^+ = D24 (small group id <24, 6>)
Aut   = D48 (small group id <48, 7>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, R * Y3 * R * Y2, (Y2 * Y1^-1)^2, (R * Y1)^2, (Y1^-1 * Y3)^2, Y1^2 * Y3 * Y1^-1 * Y2, (Y2 * Y3)^4 ]
Map:: non-degenerate
	R = (1, 26, 2, 30, 6, 34, 10, 39, 15, 44, 20, 46, 22, 47, 23, 42, 18, 36, 12, 37, 13, 29, 5, 25)(3, 33, 9, 32, 8, 28, 4, 35, 11, 41, 17, 43, 19, 48, 24, 45, 21, 40, 16, 38, 14, 31, 7, 27)
	L = (1, 3)(2, 7)(4, 12)(5, 9)(6, 14)(8, 13)(10, 16)(11, 18)(15, 21)(17, 23)(19, 22)(20, 24)(25, 28)(26, 32)(27, 34)(29, 35)(30, 33)(31, 39)(36, 43)(37, 41)(38, 44)(40, 46)(42, 48)(45, 47)
	local type(s) :: { ( 12^24 ) }
Outer automorphisms :: reflexible
Dual of E10.265
Transitivity :: VT+ AT
Graph:: bipartite
	v = 2 e = 24 f = 4
	degree seq :: [ 24^2 ]

E10.265 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 6, 12})
Quotient :: halfedge^2
Aut^+ = D24 (small group id <24, 6>)
Aut   = D48 (small group id <48, 7>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, R * Y3 * R * Y2, (Y3 * Y1^-1)^2, (R * Y1)^2, (Y2 * Y1)^2, Y1^6, Y2 * Y1^3 * Y3 * Y2 * Y3, Y2 * Y1^-1 * Y3 * Y2 * Y1^-2 * Y3, Y1 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y1 ]
Map:: non-degenerate
	R = (1, 26, 2, 30, 6, 38, 14, 37, 13, 29, 5, 25)(3, 33, 9, 43, 19, 48, 24, 39, 15, 31, 7, 27)(4, 35, 11, 46, 22, 45, 21, 40, 16, 32, 8, 28)(10, 41, 17, 47, 23, 36, 12, 42, 18, 44, 20, 34)
	L = (1, 3)(2, 7)(4, 12)(5, 9)(6, 15)(8, 18)(10, 21)(11, 23)(13, 19)(14, 24)(16, 20)(17, 22)(25, 28)(26, 32)(27, 34)(29, 35)(30, 40)(31, 41)(33, 44)(36, 48)(37, 46)(38, 45)(39, 47)(42, 43)
	local type(s) :: { ( 24^12 ) }
Outer automorphisms :: reflexible
Dual of E10.264
Transitivity :: VT+ AT
Graph:: bipartite
	v = 4 e = 24 f = 2
	degree seq :: [ 12^4 ]

E10.266 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 6, 12})
Quotient :: edge^2
Aut^+ = D24 (small group id <24, 6>)
Aut   = D48 (small group id <48, 7>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, R * Y2 * R * Y1, (R * Y3)^2, (Y3 * Y1)^2, (Y3 * Y2)^2, Y3^6, Y1 * Y3^3 * Y2 * Y1 * Y2, Y3 * Y1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 ]
Map::
	R = (1, 25, 4, 28, 12, 36, 24, 48, 13, 37, 5, 29)(2, 26, 7, 31, 17, 41, 19, 43, 18, 42, 8, 32)(3, 27, 10, 34, 22, 46, 14, 38, 23, 47, 11, 35)(6, 30, 15, 39, 21, 45, 9, 33, 20, 44, 16, 40)(49, 50)(51, 57)(52, 56)(53, 55)(54, 62)(58, 69)(59, 68)(60, 66)(61, 65)(63, 70)(64, 71)(67, 72)(73, 75)(74, 78)(76, 83)(77, 82)(79, 88)(80, 87)(81, 91)(84, 95)(85, 94)(86, 96)(89, 92)(90, 93)
	L = (1, 49)(2, 50)(3, 51)(4, 52)(5, 53)(6, 54)(7, 55)(8, 56)(9, 57)(10, 58)(11, 59)(12, 60)(13, 61)(14, 62)(15, 63)(16, 64)(17, 65)(18, 66)(19, 67)(20, 68)(21, 69)(22, 70)(23, 71)(24, 72)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 48, 48 ), ( 48^12 ) }
Outer automorphisms :: reflexible
Dual of E10.269
Graph:: simple bipartite
	v = 28 e = 48 f = 2
	degree seq :: [ 2^24, 12^4 ]

E10.267 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 6, 12})
Quotient :: edge^2
Aut^+ = D24 (small group id <24, 6>)
Aut   = D48 (small group id <48, 7>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, R * Y2 * R * Y1, (R * Y3)^2, (Y3^-1 * Y1)^2, (Y3 * Y2)^2, Y1 * Y3^-3 * Y2, (Y1 * Y2)^4 ]
Map::
	R = (1, 25, 4, 28, 12, 36, 9, 33, 18, 42, 24, 48, 20, 44, 22, 46, 15, 39, 6, 30, 13, 37, 5, 29)(2, 26, 7, 31, 16, 40, 14, 38, 21, 45, 23, 47, 17, 41, 19, 43, 11, 35, 3, 27, 10, 34, 8, 32)(49, 50)(51, 57)(52, 56)(53, 55)(54, 62)(58, 60)(59, 66)(61, 64)(63, 69)(65, 68)(67, 72)(70, 71)(73, 75)(74, 78)(76, 83)(77, 82)(79, 87)(80, 85)(81, 89)(84, 91)(86, 92)(88, 94)(90, 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, 24 ), ( 24^24 ) }
Outer automorphisms :: reflexible
Dual of E10.268
Graph:: simple bipartite
	v = 26 e = 48 f = 4
	degree seq :: [ 2^24, 24^2 ]

E10.268 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 6, 12})
Quotient :: loop^2
Aut^+ = D24 (small group id <24, 6>)
Aut   = D48 (small group id <48, 7>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, R * Y2 * R * Y1, (R * Y3)^2, (Y3 * Y1)^2, (Y3 * Y2)^2, Y3^6, Y1 * Y3^3 * Y2 * Y1 * Y2, Y3 * Y1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 ]
Map::
	R = (1, 25, 49, 73, 4, 28, 52, 76, 12, 36, 60, 84, 24, 48, 72, 96, 13, 37, 61, 85, 5, 29, 53, 77)(2, 26, 50, 74, 7, 31, 55, 79, 17, 41, 65, 89, 19, 43, 67, 91, 18, 42, 66, 90, 8, 32, 56, 80)(3, 27, 51, 75, 10, 34, 58, 82, 22, 46, 70, 94, 14, 38, 62, 86, 23, 47, 71, 95, 11, 35, 59, 83)(6, 30, 54, 78, 15, 39, 63, 87, 21, 45, 69, 93, 9, 33, 57, 81, 20, 44, 68, 92, 16, 40, 64, 88)
	L = (1, 26)(2, 25)(3, 33)(4, 32)(5, 31)(6, 38)(7, 29)(8, 28)(9, 27)(10, 45)(11, 44)(12, 42)(13, 41)(14, 30)(15, 46)(16, 47)(17, 37)(18, 36)(19, 48)(20, 35)(21, 34)(22, 39)(23, 40)(24, 43)(49, 75)(50, 78)(51, 73)(52, 83)(53, 82)(54, 74)(55, 88)(56, 87)(57, 91)(58, 77)(59, 76)(60, 95)(61, 94)(62, 96)(63, 80)(64, 79)(65, 92)(66, 93)(67, 81)(68, 89)(69, 90)(70, 85)(71, 84)(72, 86)
	local type(s) :: { ( 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24 ) }
Outer automorphisms :: reflexible
Dual of E10.267
Transitivity :: VT+
Graph:: bipartite
	v = 4 e = 48 f = 26
	degree seq :: [ 24^4 ]

E10.269 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 6, 12})
Quotient :: loop^2
Aut^+ = D24 (small group id <24, 6>)
Aut   = D48 (small group id <48, 7>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, R * Y2 * R * Y1, (R * Y3)^2, (Y3^-1 * Y1)^2, (Y3 * Y2)^2, Y1 * Y3^-3 * Y2, (Y1 * Y2)^4 ]
Map::
	R = (1, 25, 49, 73, 4, 28, 52, 76, 12, 36, 60, 84, 9, 33, 57, 81, 18, 42, 66, 90, 24, 48, 72, 96, 20, 44, 68, 92, 22, 46, 70, 94, 15, 39, 63, 87, 6, 30, 54, 78, 13, 37, 61, 85, 5, 29, 53, 77)(2, 26, 50, 74, 7, 31, 55, 79, 16, 40, 64, 88, 14, 38, 62, 86, 21, 45, 69, 93, 23, 47, 71, 95, 17, 41, 65, 89, 19, 43, 67, 91, 11, 35, 59, 83, 3, 27, 51, 75, 10, 34, 58, 82, 8, 32, 56, 80)
	L = (1, 26)(2, 25)(3, 33)(4, 32)(5, 31)(6, 38)(7, 29)(8, 28)(9, 27)(10, 36)(11, 42)(12, 34)(13, 40)(14, 30)(15, 45)(16, 37)(17, 44)(18, 35)(19, 48)(20, 41)(21, 39)(22, 47)(23, 46)(24, 43)(49, 75)(50, 78)(51, 73)(52, 83)(53, 82)(54, 74)(55, 87)(56, 85)(57, 89)(58, 77)(59, 76)(60, 91)(61, 80)(62, 92)(63, 79)(64, 94)(65, 81)(66, 95)(67, 84)(68, 86)(69, 96)(70, 88)(71, 90)(72, 93)
	local type(s) :: { ( 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12 ) }
Outer automorphisms :: reflexible
Dual of E10.266
Transitivity :: VT+
Graph:: bipartite
	v = 2 e = 48 f = 28
	degree seq :: [ 48^2 ]

E10.270 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 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, Y2^2, R^2, (R * Y3)^2, (R * Y1)^2, (Y1 * Y2)^2, (R * Y2)^2, Y3 * Y2 * Y3^-1 * Y2, Y2 * Y1 * Y3 * Y1 * Y3^-1, Y3^6 ]
Map:: non-degenerate
	R = (1, 25, 2, 26)(3, 27, 6, 30)(4, 28, 11, 35)(5, 29, 13, 37)(7, 31, 9, 33)(8, 32, 10, 34)(12, 36, 15, 39)(14, 38, 16, 40)(17, 41, 19, 43)(18, 42, 21, 45)(20, 44, 24, 48)(22, 46, 23, 47)(49, 73, 51, 75)(50, 74, 54, 78)(52, 76, 57, 81)(53, 77, 58, 82)(55, 79, 59, 83)(56, 80, 61, 85)(60, 84, 65, 89)(62, 86, 66, 90)(63, 87, 67, 91)(64, 88, 69, 93)(68, 92, 71, 95)(70, 94, 72, 96)
	L = (1, 52)(2, 55)(3, 57)(4, 60)(5, 49)(6, 59)(7, 63)(8, 50)(9, 65)(10, 51)(11, 67)(12, 68)(13, 54)(14, 53)(15, 70)(16, 56)(17, 71)(18, 58)(19, 72)(20, 62)(21, 61)(22, 64)(23, 66)(24, 69)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 12, 24, 12, 24 ) }
Outer automorphisms :: reflexible
Dual of E10.281
Graph:: simple bipartite
	v = 24 e = 48 f = 6
	degree seq :: [ 4^24 ]

E10.271 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 6, 12})
Quotient :: dipole
Aut^+ = D24 (small group id <24, 6>)
Aut   = C2 x D24 (small group id <48, 36>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (R * Y2)^2, (R * Y3)^2, (R * Y1)^2, (Y3, Y2^-1), (Y3^-1 * Y1)^2, Y3^4, (Y2^-1 * Y1)^2, Y3^2 * Y2^3 ]
Map:: non-degenerate
	R = (1, 25, 2, 26)(3, 27, 9, 33)(4, 28, 10, 34)(5, 29, 7, 31)(6, 30, 8, 32)(11, 35, 23, 47)(12, 36, 24, 48)(13, 37, 22, 46)(14, 38, 21, 45)(15, 39, 20, 44)(16, 40, 18, 42)(17, 41, 19, 43)(49, 73, 51, 75, 59, 83, 62, 86, 64, 88, 53, 77)(50, 74, 55, 79, 66, 90, 69, 93, 71, 95, 57, 81)(52, 76, 60, 84, 65, 89, 54, 78, 61, 85, 63, 87)(56, 80, 67, 91, 72, 96, 58, 82, 68, 92, 70, 94)
	L = (1, 52)(2, 56)(3, 60)(4, 62)(5, 63)(6, 49)(7, 67)(8, 69)(9, 70)(10, 50)(11, 65)(12, 64)(13, 51)(14, 54)(15, 59)(16, 61)(17, 53)(18, 72)(19, 71)(20, 55)(21, 58)(22, 66)(23, 68)(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, 24, 4, 24 ), ( 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24 ) }
Outer automorphisms :: reflexible
Dual of E10.276
Graph:: simple bipartite
	v = 16 e = 48 f = 14
	degree seq :: [ 4^12, 12^4 ]

E10.272 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 6, 12})
Quotient :: dipole
Aut^+ = D24 (small group id <24, 6>)
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, (Y3^-1 * Y1)^2, (R * Y2)^2, (Y2^-1 * Y1)^2, Y2^6 ]
Map:: non-degenerate
	R = (1, 25, 2, 26)(3, 27, 9, 33)(4, 28, 10, 34)(5, 29, 7, 31)(6, 30, 8, 32)(11, 35, 17, 41)(12, 36, 18, 42)(13, 37, 15, 39)(14, 38, 16, 40)(19, 43, 22, 46)(20, 44, 24, 48)(21, 45, 23, 47)(49, 73, 51, 75, 59, 83, 67, 91, 61, 85, 53, 77)(50, 74, 55, 79, 63, 87, 70, 94, 65, 89, 57, 81)(52, 76, 60, 84, 68, 92, 69, 93, 62, 86, 54, 78)(56, 80, 64, 88, 71, 95, 72, 96, 66, 90, 58, 82)
	L = (1, 52)(2, 56)(3, 60)(4, 51)(5, 54)(6, 49)(7, 64)(8, 55)(9, 58)(10, 50)(11, 68)(12, 59)(13, 62)(14, 53)(15, 71)(16, 63)(17, 66)(18, 57)(19, 69)(20, 67)(21, 61)(22, 72)(23, 70)(24, 65)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 4, 24, 4, 24 ), ( 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24 ) }
Outer automorphisms :: reflexible
Dual of E10.277
Graph:: simple bipartite
	v = 16 e = 48 f = 14
	degree seq :: [ 4^12, 12^4 ]

E10.273 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 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, (R * Y2)^2, (R * Y3)^2, (R * Y1)^2, (Y3, Y2^-1), (Y3^-1 * Y1)^2, Y3^4, Y2^-1 * Y1 * Y2 * Y1, Y3^2 * Y2^3 ]
Map:: non-degenerate
	R = (1, 25, 2, 26)(3, 27, 7, 31)(4, 28, 10, 34)(5, 29, 9, 33)(6, 30, 8, 32)(11, 35, 18, 42)(12, 36, 20, 44)(13, 37, 19, 43)(14, 38, 21, 45)(15, 39, 24, 48)(16, 40, 23, 47)(17, 41, 22, 46)(49, 73, 51, 75, 59, 83, 62, 86, 64, 88, 53, 77)(50, 74, 55, 79, 66, 90, 69, 93, 71, 95, 57, 81)(52, 76, 60, 84, 65, 89, 54, 78, 61, 85, 63, 87)(56, 80, 67, 91, 72, 96, 58, 82, 68, 92, 70, 94)
	L = (1, 52)(2, 56)(3, 60)(4, 62)(5, 63)(6, 49)(7, 67)(8, 69)(9, 70)(10, 50)(11, 65)(12, 64)(13, 51)(14, 54)(15, 59)(16, 61)(17, 53)(18, 72)(19, 71)(20, 55)(21, 58)(22, 66)(23, 68)(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, 24, 4, 24 ), ( 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24 ) }
Outer automorphisms :: reflexible
Dual of E10.280
Graph:: simple bipartite
	v = 16 e = 48 f = 14
	degree seq :: [ 4^12, 12^4 ]

E10.274 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 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, 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, Y2^6 ]
Map:: non-degenerate
	R = (1, 25, 2, 26)(3, 27, 6, 30)(4, 28, 7, 31)(5, 29, 8, 32)(9, 33, 15, 39)(10, 34, 11, 35)(12, 36, 13, 37)(14, 38, 16, 40)(17, 41, 22, 46)(18, 42, 19, 43)(20, 44, 21, 45)(23, 47, 24, 48)(49, 73, 51, 75, 57, 81, 65, 89, 62, 86, 53, 77)(50, 74, 54, 78, 63, 87, 70, 94, 64, 88, 56, 80)(52, 76, 59, 83, 66, 90, 72, 96, 68, 92, 60, 84)(55, 79, 58, 82, 67, 91, 71, 95, 69, 93, 61, 85)
	L = (1, 52)(2, 55)(3, 58)(4, 49)(5, 61)(6, 59)(7, 50)(8, 60)(9, 66)(10, 51)(11, 54)(12, 56)(13, 53)(14, 68)(15, 67)(16, 69)(17, 71)(18, 57)(19, 63)(20, 62)(21, 64)(22, 72)(23, 65)(24, 70)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 4, 24, 4, 24 ), ( 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24 ) }
Outer automorphisms :: reflexible
Dual of E10.279
Graph:: simple bipartite
	v = 16 e = 48 f = 14
	degree seq :: [ 4^12, 12^4 ]

E10.275 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 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, Y3^2, R^2, (Y3 * Y1)^2, (R * Y3)^2, Y3 * Y2 * Y1 * Y2^-1, (R * Y1)^2, Y2^-1 * Y1 * Y2 * Y3, (R * Y2 * Y3)^2, Y2^6, (Y2^-2 * R)^2, (Y2^-1 * Y1)^12 ]
Map:: non-degenerate
	R = (1, 25, 2, 26)(3, 27, 9, 33)(4, 28, 7, 31)(5, 29, 11, 35)(6, 30, 13, 37)(8, 32, 15, 39)(10, 34, 14, 38)(12, 36, 16, 40)(17, 41, 20, 44)(18, 42, 23, 47)(19, 43, 22, 46)(21, 45, 24, 48)(49, 73, 51, 75, 58, 82, 66, 90, 60, 84, 53, 77)(50, 74, 54, 78, 62, 86, 69, 93, 64, 88, 56, 80)(52, 76, 57, 81, 65, 89, 71, 95, 67, 91, 59, 83)(55, 79, 61, 85, 68, 92, 72, 96, 70, 94, 63, 87)
	L = (1, 52)(2, 55)(3, 54)(4, 49)(5, 56)(6, 51)(7, 50)(8, 53)(9, 61)(10, 65)(11, 63)(12, 67)(13, 57)(14, 68)(15, 59)(16, 70)(17, 58)(18, 69)(19, 60)(20, 62)(21, 66)(22, 64)(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) :: { ( 4, 24, 4, 24 ), ( 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24 ) }
Outer automorphisms :: reflexible
Dual of E10.278
Graph:: simple bipartite
	v = 16 e = 48 f = 14
	degree seq :: [ 4^12, 12^4 ]

E10.276 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 6, 12})
Quotient :: dipole
Aut^+ = D24 (small group id <24, 6>)
Aut   = C2 x D24 (small group id <48, 36>)
|r| :: 2
Presentation :: [ Y2^2, R^2, Y3^-1 * Y1^-3, (R * Y1)^2, (Y3 * Y2)^2, (Y2 * Y1)^2, (R * Y3)^2, (Y3, Y1^-1), Y3^4, (R * Y2 * Y3^-1)^2 ]
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, 11, 35, 19, 43, 13, 37, 21, 45, 24, 48, 22, 46, 23, 47, 18, 42, 12, 36, 16, 40, 8, 32)(49, 73, 51, 75)(50, 74, 56, 80)(52, 76, 61, 85)(53, 77, 59, 83)(54, 78, 60, 84)(55, 79, 64, 88)(57, 81, 67, 91)(58, 82, 66, 90)(62, 86, 70, 94)(63, 87, 69, 93)(65, 89, 71, 95)(68, 92, 72, 96)
	L = (1, 52)(2, 57)(3, 60)(4, 62)(5, 63)(6, 49)(7, 53)(8, 66)(9, 68)(10, 50)(11, 64)(12, 70)(13, 51)(14, 54)(15, 65)(16, 71)(17, 55)(18, 72)(19, 56)(20, 58)(21, 59)(22, 61)(23, 69)(24, 67)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 4, 12, 4, 12 ), ( 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 E10.271
Graph:: bipartite
	v = 14 e = 48 f = 16
	degree seq :: [ 4^12, 24^2 ]

E10.277 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 6, 12})
Quotient :: dipole
Aut^+ = D24 (small group id <24, 6>)
Aut   = C2 x D24 (small group id <48, 36>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^-1 * Y1, (Y2 * Y1)^2, (Y3 * Y2)^2, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y1^12, (Y3^-1 * Y1^-1)^6 ]
Map:: non-degenerate
	R = (1, 25, 2, 26, 5, 29, 9, 33, 13, 37, 17, 41, 21, 45, 20, 44, 16, 40, 12, 36, 8, 32, 4, 28)(3, 27, 7, 31, 11, 35, 15, 39, 19, 43, 23, 47, 24, 48, 22, 46, 18, 42, 14, 38, 10, 34, 6, 30)(49, 73, 51, 75)(50, 74, 54, 78)(52, 76, 55, 79)(53, 77, 58, 82)(56, 80, 59, 83)(57, 81, 62, 86)(60, 84, 63, 87)(61, 85, 66, 90)(64, 88, 67, 91)(65, 89, 70, 94)(68, 92, 71, 95)(69, 93, 72, 96)
	L = (1, 50)(2, 53)(3, 55)(4, 49)(5, 57)(6, 51)(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, 68)(22, 66)(23, 72)(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, 12, 4, 12 ), ( 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 E10.272
Graph:: bipartite
	v = 14 e = 48 f = 16
	degree seq :: [ 4^12, 24^2 ]

E10.278 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 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 * Y2)^2, (Y3 * Y2)^2, (R * Y3)^2, (R * Y1)^2, Y1^-1 * Y2 * Y1 * Y2, Y1^-1 * Y2 * Y3 * Y1 * Y3, Y1^6 * Y2 ]
Map:: non-degenerate
	R = (1, 25, 2, 26, 6, 30, 15, 39, 19, 43, 10, 34, 3, 27, 7, 31, 16, 40, 22, 46, 14, 38, 5, 29)(4, 28, 11, 35, 17, 41, 24, 48, 21, 45, 13, 37, 9, 33, 8, 32, 18, 42, 23, 47, 20, 44, 12, 36)(49, 73, 51, 75)(50, 74, 55, 79)(52, 76, 57, 81)(53, 77, 58, 82)(54, 78, 64, 88)(56, 80, 59, 83)(60, 84, 61, 85)(62, 86, 67, 91)(63, 87, 70, 94)(65, 89, 66, 90)(68, 92, 69, 93)(71, 95, 72, 96)
	L = (1, 52)(2, 56)(3, 57)(4, 49)(5, 61)(6, 65)(7, 59)(8, 50)(9, 51)(10, 60)(11, 55)(12, 58)(13, 53)(14, 68)(15, 71)(16, 66)(17, 54)(18, 64)(19, 69)(20, 62)(21, 67)(22, 72)(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, 12, 4, 12 ), ( 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 E10.275
Graph:: bipartite
	v = 14 e = 48 f = 16
	degree seq :: [ 4^12, 24^2 ]

E10.279 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 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 * Y2)^2, (R * Y1)^2, (R * Y3)^2, Y1^-1 * Y2 * Y1 * Y3, Y1^-1 * Y3 * Y1 * Y2, (Y3 * Y2)^2, Y1^-1 * Y2 * Y3 * Y1^-5, (Y1^-1 * Y2)^6 ]
Map:: non-degenerate
	R = (1, 25, 2, 26, 6, 30, 13, 37, 21, 45, 17, 41, 9, 33, 16, 40, 24, 48, 20, 44, 12, 36, 5, 29)(3, 27, 8, 32, 14, 38, 23, 47, 19, 43, 11, 35, 4, 28, 7, 31, 15, 39, 22, 46, 18, 42, 10, 34)(49, 73, 51, 75)(50, 74, 55, 79)(52, 76, 57, 81)(53, 77, 59, 83)(54, 78, 62, 86)(56, 80, 64, 88)(58, 82, 65, 89)(60, 84, 66, 90)(61, 85, 70, 94)(63, 87, 72, 96)(67, 91, 69, 93)(68, 92, 71, 95)
	L = (1, 52)(2, 56)(3, 57)(4, 49)(5, 58)(6, 63)(7, 64)(8, 50)(9, 51)(10, 53)(11, 65)(12, 67)(13, 71)(14, 72)(15, 54)(16, 55)(17, 59)(18, 69)(19, 60)(20, 70)(21, 66)(22, 68)(23, 61)(24, 62)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 4, 12, 4, 12 ), ( 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 E10.274
Graph:: bipartite
	v = 14 e = 48 f = 16
	degree seq :: [ 4^12, 24^2 ]

E10.280 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 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 :: [ Y2^2, R^2, Y3^-1 * Y1^-3, (Y3^-1 * Y2)^2, (Y3, Y1^-1), (R * Y3)^2, (R * Y1)^2, Y3^4, Y2 * Y1 * Y3 * Y2 * Y3^-1 * Y1^-1, (R * Y2 * Y3^-1)^2, Y2 * Y3 * Y1^-2 * Y2 * Y1^-1, Y3 * Y2 * Y1^-1 * Y2 * Y1^-2 ]
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, 18, 42, 14, 38, 21, 45, 17, 41, 22, 46, 8, 32, 20, 44, 12, 36, 23, 47, 13, 37)(49, 73, 51, 75)(50, 74, 56, 80)(52, 76, 62, 86)(53, 77, 65, 89)(54, 78, 60, 84)(55, 79, 66, 90)(57, 81, 71, 95)(58, 82, 69, 93)(59, 83, 72, 96)(61, 85, 67, 91)(63, 87, 70, 94)(64, 88, 68, 92)
	L = (1, 52)(2, 57)(3, 60)(4, 63)(5, 64)(6, 49)(7, 53)(8, 69)(9, 72)(10, 50)(11, 71)(12, 70)(13, 68)(14, 51)(15, 54)(16, 67)(17, 66)(18, 61)(19, 55)(20, 65)(21, 59)(22, 62)(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, 12, 4, 12 ), ( 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 E10.273
Graph:: bipartite
	v = 14 e = 48 f = 16
	degree seq :: [ 4^12, 24^2 ]

E10.281 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 6, 12})
Quotient :: dipole
Aut^+ = C3 x D8 (small group id <24, 10>)
Aut   = D8 x S3 (small group id <48, 38>)
|r| :: 2
Presentation :: [ R^2, Y3^-2 * Y1^-2, Y2^-1 * Y1^-1 * Y3 * Y2^-1, (Y3^-1 * Y2)^2, (Y3^-1, Y1^-1), Y2 * Y3^-1 * Y2^-1 * Y1^-1, (R * Y1)^2, Y3 * Y1^-1 * Y2^-2, (R * Y3)^2, Y1^-1 * Y2^2 * Y3 * Y1^-2, (R * Y2 * Y3^-1)^2, Y3^6 ]
Map:: non-degenerate
	R = (1, 25, 2, 26, 8, 32, 19, 43, 17, 41, 5, 29)(3, 27, 13, 37, 20, 44, 11, 35, 24, 48, 16, 40)(4, 28, 10, 34, 7, 31, 12, 36, 22, 46, 14, 38)(6, 30, 18, 42, 21, 45, 15, 39, 23, 47, 9, 33)(49, 73, 51, 75, 62, 86, 69, 93, 56, 80, 68, 92, 58, 82, 71, 95, 65, 89, 72, 96, 60, 84, 54, 78)(50, 74, 57, 81, 52, 76, 64, 88, 67, 91, 66, 90, 55, 79, 61, 85, 53, 77, 63, 87, 70, 94, 59, 83)
	L = (1, 52)(2, 58)(3, 63)(4, 65)(5, 62)(6, 61)(7, 49)(8, 55)(9, 51)(10, 53)(11, 54)(12, 50)(13, 71)(14, 67)(15, 72)(16, 69)(17, 70)(18, 68)(19, 60)(20, 57)(21, 59)(22, 56)(23, 64)(24, 66)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 4^12 ), ( 4^24 ) }
Outer automorphisms :: reflexible
Dual of E10.270
Graph:: bipartite
	v = 6 e = 48 f = 24
	degree seq :: [ 12^4, 24^2 ]

E10.282 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {8, 12, 24})
Quotient :: edge
Aut^+ = C24 (small group id <24, 2>)
Aut   = D48 (small group id <48, 7>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, (T2^-1, T1^-1), T2^3 * T1^2, T1^-8, T1^8 ]
Map:: non-degenerate
	R = (1, 3, 9, 11, 18, 23, 20, 22, 15, 6, 13, 5)(2, 7, 12, 4, 10, 17, 19, 24, 21, 14, 16, 8)(25, 26, 30, 38, 44, 43, 35, 28)(27, 31, 37, 40, 46, 48, 42, 34)(29, 32, 39, 45, 47, 41, 33, 36)
	L = (1, 25)(2, 26)(3, 27)(4, 28)(5, 29)(6, 30)(7, 31)(8, 32)(9, 33)(10, 34)(11, 35)(12, 36)(13, 37)(14, 38)(15, 39)(16, 40)(17, 41)(18, 42)(19, 43)(20, 44)(21, 45)(22, 46)(23, 47)(24, 48)
	local type(s) :: { ( 48^8 ), ( 48^12 ) }
Outer automorphisms :: reflexible
Dual of E10.290
Transitivity :: ET+
Graph:: bipartite
	v = 5 e = 24 f = 1
	degree seq :: [ 8^3, 12^2 ]

E10.283 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {8, 12, 24})
Quotient :: edge
Aut^+ = C24 (small group id <24, 2>)
Aut   = D48 (small group id <48, 7>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, (T2^-1, T1^-1), T2^-3 * T1^2, T1^8 ]
Map:: non-degenerate
	R = (1, 3, 9, 6, 15, 22, 20, 24, 18, 11, 13, 5)(2, 7, 16, 14, 21, 23, 17, 19, 12, 4, 10, 8)(25, 26, 30, 38, 44, 41, 35, 28)(27, 31, 39, 45, 48, 43, 37, 34)(29, 32, 33, 40, 46, 47, 42, 36)
	L = (1, 25)(2, 26)(3, 27)(4, 28)(5, 29)(6, 30)(7, 31)(8, 32)(9, 33)(10, 34)(11, 35)(12, 36)(13, 37)(14, 38)(15, 39)(16, 40)(17, 41)(18, 42)(19, 43)(20, 44)(21, 45)(22, 46)(23, 47)(24, 48)
	local type(s) :: { ( 48^8 ), ( 48^12 ) }
Outer automorphisms :: reflexible
Dual of E10.291
Transitivity :: ET+
Graph:: bipartite
	v = 5 e = 24 f = 1
	degree seq :: [ 8^3, 12^2 ]

E10.284 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {8, 12, 24})
Quotient :: edge
Aut^+ = C24 (small group id <24, 2>)
Aut   = D48 (small group id <48, 7>)
|r| :: 2
Presentation :: [ F^2, T2 * T1^-1 * T2, (F * T1)^2, (F * T2)^2, T1^12, (T2^-1 * T1^-1)^8 ]
Map:: non-degenerate
	R = (1, 3, 2, 7, 6, 11, 10, 15, 14, 19, 18, 23, 22, 24, 20, 21, 16, 17, 12, 13, 8, 9, 4, 5)(25, 26, 30, 34, 38, 42, 46, 44, 40, 36, 32, 28)(27, 31, 35, 39, 43, 47, 48, 45, 41, 37, 33, 29)
	L = (1, 25)(2, 26)(3, 27)(4, 28)(5, 29)(6, 30)(7, 31)(8, 32)(9, 33)(10, 34)(11, 35)(12, 36)(13, 37)(14, 38)(15, 39)(16, 40)(17, 41)(18, 42)(19, 43)(20, 44)(21, 45)(22, 46)(23, 47)(24, 48)
	local type(s) :: { ( 16^12 ), ( 16^24 ) }
Outer automorphisms :: reflexible
Dual of E10.293
Transitivity :: ET+
Graph:: bipartite
	v = 3 e = 24 f = 3
	degree seq :: [ 12^2, 24 ]

E10.285 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {8, 12, 24})
Quotient :: edge
Aut^+ = C24 (small group id <24, 2>)
Aut   = D48 (small group id <48, 7>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, (T2^-1, T1), T2^2 * T1^-1 * T2 * T1^-1 * T2, T1 * T2 * T1 * T2 * T1^3, T1^-1 * T2^-2 * T1^-1 * T2^-2 * T1^-1 * T2^-1 * T1 * T2^-1 * T1^-1 ]
Map:: non-degenerate
	R = (1, 3, 9, 16, 6, 15, 20, 24, 22, 12, 4, 10, 18, 8, 2, 7, 17, 23, 14, 21, 11, 19, 13, 5)(25, 26, 30, 38, 46, 37, 42, 33, 41, 44, 35, 28)(27, 31, 39, 45, 36, 29, 32, 40, 47, 48, 43, 34)
	L = (1, 25)(2, 26)(3, 27)(4, 28)(5, 29)(6, 30)(7, 31)(8, 32)(9, 33)(10, 34)(11, 35)(12, 36)(13, 37)(14, 38)(15, 39)(16, 40)(17, 41)(18, 42)(19, 43)(20, 44)(21, 45)(22, 46)(23, 47)(24, 48)
	local type(s) :: { ( 16^12 ), ( 16^24 ) }
Outer automorphisms :: reflexible
Dual of E10.292
Transitivity :: ET+
Graph:: bipartite
	v = 3 e = 24 f = 3
	degree seq :: [ 12^2, 24 ]

E10.286 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {8, 12, 24})
Quotient :: edge
Aut^+ = C24 (small group id <24, 2>)
Aut   = D48 (small group id <48, 7>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, (T2^-1, T1), T2^3 * T1^-3, T1^-6 * T2^-2, T1^-2 * T2^-1 * T1^-1 * T2^-1 * T1^-3, T2^8, T1^15 * T2 ]
Map:: non-degenerate
	R = (1, 3, 9, 14, 23, 19, 13, 5)(2, 7, 17, 22, 20, 11, 18, 8)(4, 10, 16, 6, 15, 24, 21, 12)(25, 26, 30, 38, 46, 45, 37, 42, 34, 27, 31, 39, 47, 44, 36, 29, 32, 40, 33, 41, 48, 43, 35, 28)
	L = (1, 25)(2, 26)(3, 27)(4, 28)(5, 29)(6, 30)(7, 31)(8, 32)(9, 33)(10, 34)(11, 35)(12, 36)(13, 37)(14, 38)(15, 39)(16, 40)(17, 41)(18, 42)(19, 43)(20, 44)(21, 45)(22, 46)(23, 47)(24, 48)
	local type(s) :: { ( 24^8 ), ( 24^24 ) }
Outer automorphisms :: reflexible
Dual of E10.289
Transitivity :: ET+
Graph:: bipartite
	v = 4 e = 24 f = 2
	degree seq :: [ 8^3, 24 ]

E10.287 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {8, 12, 24})
Quotient :: edge
Aut^+ = C24 (small group id <24, 2>)
Aut   = D48 (small group id <48, 7>)
|r| :: 2
Presentation :: [ F^2, T2^-1 * T1^-3, (F * T1)^2, (F * T2)^2, (T2^-1, T1^-1), T2^8 ]
Map:: non-degenerate
	R = (1, 3, 9, 15, 21, 17, 11, 5)(2, 7, 13, 19, 24, 20, 14, 8)(4, 10, 16, 22, 23, 18, 12, 6)(25, 26, 30, 29, 32, 36, 35, 38, 42, 41, 44, 47, 45, 48, 46, 39, 43, 40, 33, 37, 34, 27, 31, 28)
	L = (1, 25)(2, 26)(3, 27)(4, 28)(5, 29)(6, 30)(7, 31)(8, 32)(9, 33)(10, 34)(11, 35)(12, 36)(13, 37)(14, 38)(15, 39)(16, 40)(17, 41)(18, 42)(19, 43)(20, 44)(21, 45)(22, 46)(23, 47)(24, 48)
	local type(s) :: { ( 24^8 ), ( 24^24 ) }
Outer automorphisms :: reflexible
Dual of E10.288
Transitivity :: ET+
Graph:: bipartite
	v = 4 e = 24 f = 2
	degree seq :: [ 8^3, 24 ]

E10.288 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {8, 12, 24})
Quotient :: loop
Aut^+ = C24 (small group id <24, 2>)
Aut   = D48 (small group id <48, 7>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, (T2^-1, T1^-1), T2^3 * T1^2, T1^-8, T1^8 ]
Map:: non-degenerate
	R = (1, 25, 3, 27, 9, 33, 11, 35, 18, 42, 23, 47, 20, 44, 22, 46, 15, 39, 6, 30, 13, 37, 5, 29)(2, 26, 7, 31, 12, 36, 4, 28, 10, 34, 17, 41, 19, 43, 24, 48, 21, 45, 14, 38, 16, 40, 8, 32)
	L = (1, 26)(2, 30)(3, 31)(4, 25)(5, 32)(6, 38)(7, 37)(8, 39)(9, 36)(10, 27)(11, 28)(12, 29)(13, 40)(14, 44)(15, 45)(16, 46)(17, 33)(18, 34)(19, 35)(20, 43)(21, 47)(22, 48)(23, 41)(24, 42)
	local type(s) :: { ( 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24 ) }
Outer automorphisms :: reflexible
Dual of E10.287
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 2 e = 24 f = 4
	degree seq :: [ 24^2 ]

E10.289 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {8, 12, 24})
Quotient :: loop
Aut^+ = C24 (small group id <24, 2>)
Aut   = D48 (small group id <48, 7>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, (T2^-1, T1^-1), T2^-3 * T1^2, T1^8 ]
Map:: non-degenerate
	R = (1, 25, 3, 27, 9, 33, 6, 30, 15, 39, 22, 46, 20, 44, 24, 48, 18, 42, 11, 35, 13, 37, 5, 29)(2, 26, 7, 31, 16, 40, 14, 38, 21, 45, 23, 47, 17, 41, 19, 43, 12, 36, 4, 28, 10, 34, 8, 32)
	L = (1, 26)(2, 30)(3, 31)(4, 25)(5, 32)(6, 38)(7, 39)(8, 33)(9, 40)(10, 27)(11, 28)(12, 29)(13, 34)(14, 44)(15, 45)(16, 46)(17, 35)(18, 36)(19, 37)(20, 41)(21, 48)(22, 47)(23, 42)(24, 43)
	local type(s) :: { ( 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24 ) }
Outer automorphisms :: reflexible
Dual of E10.286
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 2 e = 24 f = 4
	degree seq :: [ 24^2 ]

E10.290 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {8, 12, 24})
Quotient :: loop
Aut^+ = C24 (small group id <24, 2>)
Aut   = D48 (small group id <48, 7>)
|r| :: 2
Presentation :: [ F^2, T2 * T1^-1 * T2, (F * T1)^2, (F * T2)^2, T1^12, (T2^-1 * T1^-1)^8 ]
Map:: non-degenerate
	R = (1, 25, 3, 27, 2, 26, 7, 31, 6, 30, 11, 35, 10, 34, 15, 39, 14, 38, 19, 43, 18, 42, 23, 47, 22, 46, 24, 48, 20, 44, 21, 45, 16, 40, 17, 41, 12, 36, 13, 37, 8, 32, 9, 33, 4, 28, 5, 29)
	L = (1, 26)(2, 30)(3, 31)(4, 25)(5, 27)(6, 34)(7, 35)(8, 28)(9, 29)(10, 38)(11, 39)(12, 32)(13, 33)(14, 42)(15, 43)(16, 36)(17, 37)(18, 46)(19, 47)(20, 40)(21, 41)(22, 44)(23, 48)(24, 45)
	local type(s) :: { ( 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12 ) }
Outer automorphisms :: reflexible
Dual of E10.282
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 24 f = 5
	degree seq :: [ 48 ]

E10.291 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {8, 12, 24})
Quotient :: loop
Aut^+ = C24 (small group id <24, 2>)
Aut   = D48 (small group id <48, 7>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, (T2^-1, T1), T2^2 * T1^-1 * T2 * T1^-1 * T2, T1 * T2 * T1 * T2 * T1^3, T1^-1 * T2^-2 * T1^-1 * T2^-2 * T1^-1 * T2^-1 * T1 * T2^-1 * T1^-1 ]
Map:: non-degenerate
	R = (1, 25, 3, 27, 9, 33, 16, 40, 6, 30, 15, 39, 20, 44, 24, 48, 22, 46, 12, 36, 4, 28, 10, 34, 18, 42, 8, 32, 2, 26, 7, 31, 17, 41, 23, 47, 14, 38, 21, 45, 11, 35, 19, 43, 13, 37, 5, 29)
	L = (1, 26)(2, 30)(3, 31)(4, 25)(5, 32)(6, 38)(7, 39)(8, 40)(9, 41)(10, 27)(11, 28)(12, 29)(13, 42)(14, 46)(15, 45)(16, 47)(17, 44)(18, 33)(19, 34)(20, 35)(21, 36)(22, 37)(23, 48)(24, 43)
	local type(s) :: { ( 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12 ) }
Outer automorphisms :: reflexible
Dual of E10.283
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 24 f = 5
	degree seq :: [ 48 ]

E10.292 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {8, 12, 24})
Quotient :: loop
Aut^+ = C24 (small group id <24, 2>)
Aut   = D48 (small group id <48, 7>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, (T2^-1, T1), T2^3 * T1^-3, T1^-6 * T2^-2, T1^-2 * T2^-1 * T1^-1 * T2^-1 * T1^-3, T2^8, T1^15 * T2 ]
Map:: non-degenerate
	R = (1, 25, 3, 27, 9, 33, 14, 38, 23, 47, 19, 43, 13, 37, 5, 29)(2, 26, 7, 31, 17, 41, 22, 46, 20, 44, 11, 35, 18, 42, 8, 32)(4, 28, 10, 34, 16, 40, 6, 30, 15, 39, 24, 48, 21, 45, 12, 36)
	L = (1, 26)(2, 30)(3, 31)(4, 25)(5, 32)(6, 38)(7, 39)(8, 40)(9, 41)(10, 27)(11, 28)(12, 29)(13, 42)(14, 46)(15, 47)(16, 33)(17, 48)(18, 34)(19, 35)(20, 36)(21, 37)(22, 45)(23, 44)(24, 43)
	local type(s) :: { ( 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24 ) }
Outer automorphisms :: reflexible
Dual of E10.285
Transitivity :: ET+ VT+ AT
Graph::
	v = 3 e = 24 f = 3
	degree seq :: [ 16^3 ]

E10.293 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {8, 12, 24})
Quotient :: loop
Aut^+ = C24 (small group id <24, 2>)
Aut   = D48 (small group id <48, 7>)
|r| :: 2
Presentation :: [ F^2, T2^-1 * T1^-3, (F * T1)^2, (F * T2)^2, (T2^-1, T1^-1), T2^8 ]
Map:: non-degenerate
	R = (1, 25, 3, 27, 9, 33, 15, 39, 21, 45, 17, 41, 11, 35, 5, 29)(2, 26, 7, 31, 13, 37, 19, 43, 24, 48, 20, 44, 14, 38, 8, 32)(4, 28, 10, 34, 16, 40, 22, 46, 23, 47, 18, 42, 12, 36, 6, 30)
	L = (1, 26)(2, 30)(3, 31)(4, 25)(5, 32)(6, 29)(7, 28)(8, 36)(9, 37)(10, 27)(11, 38)(12, 35)(13, 34)(14, 42)(15, 43)(16, 33)(17, 44)(18, 41)(19, 40)(20, 47)(21, 48)(22, 39)(23, 45)(24, 46)
	local type(s) :: { ( 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24 ) }
Outer automorphisms :: reflexible
Dual of E10.284
Transitivity :: ET+ VT+ AT
Graph::
	v = 3 e = 24 f = 3
	degree seq :: [ 16^3 ]

E10.294 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {8, 12, 24})
Quotient :: dipole
Aut^+ = C24 (small group id <24, 2>)
Aut   = D48 (small group id <48, 7>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1^-1, (Y2^-1, Y1^-1), (R * Y3)^2, (R * Y2)^2, (R * Y1)^2, (Y3^-1, Y2^-1), Y2^-3 * Y1^2, Y1^8, Y2^-1 * Y3^2 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * 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, 25, 2, 26, 6, 30, 14, 38, 20, 44, 17, 41, 11, 35, 4, 28)(3, 27, 7, 31, 15, 39, 21, 45, 24, 48, 19, 43, 13, 37, 10, 34)(5, 29, 8, 32, 9, 33, 16, 40, 22, 46, 23, 47, 18, 42, 12, 36)(49, 73, 51, 75, 57, 81, 54, 78, 63, 87, 70, 94, 68, 92, 72, 96, 66, 90, 59, 83, 61, 85, 53, 77)(50, 74, 55, 79, 64, 88, 62, 86, 69, 93, 71, 95, 65, 89, 67, 91, 60, 84, 52, 76, 58, 82, 56, 80)
	L = (1, 52)(2, 49)(3, 58)(4, 59)(5, 60)(6, 50)(7, 51)(8, 53)(9, 56)(10, 61)(11, 65)(12, 66)(13, 67)(14, 54)(15, 55)(16, 57)(17, 68)(18, 71)(19, 72)(20, 62)(21, 63)(22, 64)(23, 70)(24, 69)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48 ), ( 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48 ) }
Outer automorphisms :: reflexible
Dual of E10.300
Graph:: bipartite
	v = 5 e = 48 f = 25
	degree seq :: [ 16^3, 24^2 ]

E10.295 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {8, 12, 24})
Quotient :: dipole
Aut^+ = C24 (small group id <24, 2>)
Aut   = D48 (small group id <48, 7>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y3^-1, Y3^-2 * Y1^-2, (R * Y3)^2, (Y2^-1, Y1^-1), (R * Y2)^2, (R * Y1)^2, (Y3^-1, Y2^-1), Y2^3 * Y1^2, Y1^8, Y3^8 ]
Map::
	R = (1, 25, 2, 26, 6, 30, 14, 38, 20, 44, 19, 43, 11, 35, 4, 28)(3, 27, 7, 31, 13, 37, 16, 40, 22, 46, 24, 48, 18, 42, 10, 34)(5, 29, 8, 32, 15, 39, 21, 45, 23, 47, 17, 41, 9, 33, 12, 36)(49, 73, 51, 75, 57, 81, 59, 83, 66, 90, 71, 95, 68, 92, 70, 94, 63, 87, 54, 78, 61, 85, 53, 77)(50, 74, 55, 79, 60, 84, 52, 76, 58, 82, 65, 89, 67, 91, 72, 96, 69, 93, 62, 86, 64, 88, 56, 80)
	L = (1, 52)(2, 49)(3, 58)(4, 59)(5, 60)(6, 50)(7, 51)(8, 53)(9, 65)(10, 66)(11, 67)(12, 57)(13, 55)(14, 54)(15, 56)(16, 61)(17, 71)(18, 72)(19, 68)(20, 62)(21, 63)(22, 64)(23, 69)(24, 70)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48 ), ( 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48 ) }
Outer automorphisms :: reflexible
Dual of E10.301
Graph:: bipartite
	v = 5 e = 48 f = 25
	degree seq :: [ 16^3, 24^2 ]

E10.296 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {8, 12, 24})
Quotient :: dipole
Aut^+ = C24 (small group id <24, 2>)
Aut   = D48 (small group id <48, 7>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, Y1 * Y2^-2, (R * Y3)^2, (R * Y1)^2, Y1^12, (Y3^-1 * Y1^-1)^8 ]
Map::
	R = (1, 25, 2, 26, 6, 30, 10, 34, 14, 38, 18, 42, 22, 46, 20, 44, 16, 40, 12, 36, 8, 32, 4, 28)(3, 27, 7, 31, 11, 35, 15, 39, 19, 43, 23, 47, 24, 48, 21, 45, 17, 41, 13, 37, 9, 33, 5, 29)(49, 73, 51, 75, 50, 74, 55, 79, 54, 78, 59, 83, 58, 82, 63, 87, 62, 86, 67, 91, 66, 90, 71, 95, 70, 94, 72, 96, 68, 92, 69, 93, 64, 88, 65, 89, 60, 84, 61, 85, 56, 80, 57, 81, 52, 76, 53, 77)
	L = (1, 51)(2, 55)(3, 50)(4, 53)(5, 49)(6, 59)(7, 54)(8, 57)(9, 52)(10, 63)(11, 58)(12, 61)(13, 56)(14, 67)(15, 62)(16, 65)(17, 60)(18, 71)(19, 66)(20, 69)(21, 64)(22, 72)(23, 70)(24, 68)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16 ), ( 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 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 E10.299
Graph:: bipartite
	v = 3 e = 48 f = 27
	degree seq :: [ 24^2, 48 ]

E10.297 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {8, 12, 24})
Quotient :: dipole
Aut^+ = C24 (small group id <24, 2>)
Aut   = D48 (small group id <48, 7>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y2^-1, (R * Y1)^2, R * Y2 * R * Y3, (Y2^-1, Y1), Y1^-1 * Y2^3 * Y1^-1 * Y2, Y1 * Y2 * Y1 * Y2 * Y1^3, (Y3^-1 * Y1^-1)^8 ]
Map::
	R = (1, 25, 2, 26, 6, 30, 14, 38, 22, 46, 13, 37, 18, 42, 9, 33, 17, 41, 20, 44, 11, 35, 4, 28)(3, 27, 7, 31, 15, 39, 21, 45, 12, 36, 5, 29, 8, 32, 16, 40, 23, 47, 24, 48, 19, 43, 10, 34)(49, 73, 51, 75, 57, 81, 64, 88, 54, 78, 63, 87, 68, 92, 72, 96, 70, 94, 60, 84, 52, 76, 58, 82, 66, 90, 56, 80, 50, 74, 55, 79, 65, 89, 71, 95, 62, 86, 69, 93, 59, 83, 67, 91, 61, 85, 53, 77)
	L = (1, 51)(2, 55)(3, 57)(4, 58)(5, 49)(6, 63)(7, 65)(8, 50)(9, 64)(10, 66)(11, 67)(12, 52)(13, 53)(14, 69)(15, 68)(16, 54)(17, 71)(18, 56)(19, 61)(20, 72)(21, 59)(22, 60)(23, 62)(24, 70)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16 ), ( 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 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 E10.298
Graph:: bipartite
	v = 3 e = 48 f = 27
	degree seq :: [ 24^2, 48 ]

E10.298 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {8, 12, 24})
Quotient :: dipole
Aut^+ = C24 (small group id <24, 2>)
Aut   = D48 (small group id <48, 7>)
|r| :: 2
Presentation :: [ Y1, R^2, (Y3^-1, Y2^-1), (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, (Y2, Y3), Y3^2 * Y2^3 * Y3, Y2^-1 * Y3^-1 * Y2^-1 * Y3^-2 * Y2^-1, Y2^-1 * Y3^2 * Y2^-4 * Y3, (Y2^2 * Y3^2 * Y2^-1 * Y3^-1)^3, (Y3^-1 * Y1^-1)^24 ]
Map::
	R = (1, 25)(2, 26)(3, 27)(4, 28)(5, 29)(6, 30)(7, 31)(8, 32)(9, 33)(10, 34)(11, 35)(12, 36)(13, 37)(14, 38)(15, 39)(16, 40)(17, 41)(18, 42)(19, 43)(20, 44)(21, 45)(22, 46)(23, 47)(24, 48)(49, 73, 50, 74, 54, 78, 62, 86, 70, 94, 67, 91, 59, 83, 52, 76)(51, 75, 55, 79, 63, 87, 61, 85, 66, 90, 72, 96, 69, 93, 58, 82)(53, 77, 56, 80, 64, 88, 71, 95, 68, 92, 57, 81, 65, 89, 60, 84)
	L = (1, 51)(2, 55)(3, 57)(4, 58)(5, 49)(6, 63)(7, 65)(8, 50)(9, 67)(10, 68)(11, 69)(12, 52)(13, 53)(14, 61)(15, 60)(16, 54)(17, 59)(18, 56)(19, 72)(20, 70)(21, 71)(22, 66)(23, 62)(24, 64)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 24, 48 ), ( 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48 ) }
Outer automorphisms :: reflexible
Dual of E10.297
Graph:: simple bipartite
	v = 27 e = 48 f = 3
	degree seq :: [ 2^24, 16^3 ]

E10.299 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {8, 12, 24})
Quotient :: dipole
Aut^+ = C24 (small group id <24, 2>)
Aut   = D48 (small group id <48, 7>)
|r| :: 2
Presentation :: [ Y1, R^2, Y3^-2 * Y2 * Y3^-1, (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, Y2^8, (Y3^-1 * Y1^-1)^24 ]
Map::
	R = (1, 25)(2, 26)(3, 27)(4, 28)(5, 29)(6, 30)(7, 31)(8, 32)(9, 33)(10, 34)(11, 35)(12, 36)(13, 37)(14, 38)(15, 39)(16, 40)(17, 41)(18, 42)(19, 43)(20, 44)(21, 45)(22, 46)(23, 47)(24, 48)(49, 73, 50, 74, 54, 78, 60, 84, 66, 90, 64, 88, 58, 82, 52, 76)(51, 75, 55, 79, 61, 85, 67, 91, 71, 95, 69, 93, 63, 87, 57, 81)(53, 77, 56, 80, 62, 86, 68, 92, 72, 96, 70, 94, 65, 89, 59, 83)
	L = (1, 51)(2, 55)(3, 56)(4, 57)(5, 49)(6, 61)(7, 62)(8, 50)(9, 53)(10, 63)(11, 52)(12, 67)(13, 68)(14, 54)(15, 59)(16, 69)(17, 58)(18, 71)(19, 72)(20, 60)(21, 65)(22, 64)(23, 70)(24, 66)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 24, 48 ), ( 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48 ) }
Outer automorphisms :: reflexible
Dual of E10.296
Graph:: simple bipartite
	v = 27 e = 48 f = 3
	degree seq :: [ 2^24, 16^3 ]

E10.300 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {8, 12, 24})
Quotient :: dipole
Aut^+ = C24 (small group id <24, 2>)
Aut   = D48 (small group id <48, 7>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y1)^2, (R * Y3)^2, (Y1, Y3^-1), Y1^-3 * Y3^3, (R * Y2 * Y3^-1)^2, Y1^-6 * Y3^-2, Y1^-3 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-2, Y3^8, Y1^12 * Y3 * Y1^3, (Y3 * Y2^-1)^8 ]
Map::
	R = (1, 25, 2, 26, 6, 30, 14, 38, 22, 46, 21, 45, 13, 37, 18, 42, 10, 34, 3, 27, 7, 31, 15, 39, 23, 47, 20, 44, 12, 36, 5, 29, 8, 32, 16, 40, 9, 33, 17, 41, 24, 48, 19, 43, 11, 35, 4, 28)(49, 73)(50, 74)(51, 75)(52, 76)(53, 77)(54, 78)(55, 79)(56, 80)(57, 81)(58, 82)(59, 83)(60, 84)(61, 85)(62, 86)(63, 87)(64, 88)(65, 89)(66, 90)(67, 91)(68, 92)(69, 93)(70, 94)(71, 95)(72, 96)
	L = (1, 51)(2, 55)(3, 57)(4, 58)(5, 49)(6, 63)(7, 65)(8, 50)(9, 62)(10, 64)(11, 66)(12, 52)(13, 53)(14, 71)(15, 72)(16, 54)(17, 70)(18, 56)(19, 61)(20, 59)(21, 60)(22, 68)(23, 67)(24, 69)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 16, 24 ), ( 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24 ) }
Outer automorphisms :: reflexible
Dual of E10.294
Graph:: bipartite
	v = 25 e = 48 f = 5
	degree seq :: [ 2^24, 48 ]

E10.301 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {8, 12, 24})
Quotient :: dipole
Aut^+ = C24 (small group id <24, 2>)
Aut   = D48 (small group id <48, 7>)
|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, Y3^8, (Y3 * Y2^-1)^8 ]
Map::
	R = (1, 25, 2, 26, 6, 30, 5, 29, 8, 32, 12, 36, 11, 35, 14, 38, 18, 42, 17, 41, 20, 44, 23, 47, 21, 45, 24, 48, 22, 46, 15, 39, 19, 43, 16, 40, 9, 33, 13, 37, 10, 34, 3, 27, 7, 31, 4, 28)(49, 73)(50, 74)(51, 75)(52, 76)(53, 77)(54, 78)(55, 79)(56, 80)(57, 81)(58, 82)(59, 83)(60, 84)(61, 85)(62, 86)(63, 87)(64, 88)(65, 89)(66, 90)(67, 91)(68, 92)(69, 93)(70, 94)(71, 95)(72, 96)
	L = (1, 51)(2, 55)(3, 57)(4, 58)(5, 49)(6, 52)(7, 61)(8, 50)(9, 63)(10, 64)(11, 53)(12, 54)(13, 67)(14, 56)(15, 69)(16, 70)(17, 59)(18, 60)(19, 72)(20, 62)(21, 65)(22, 71)(23, 66)(24, 68)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 16, 24 ), ( 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24 ) }
Outer automorphisms :: reflexible
Dual of E10.295
Graph:: bipartite
	v = 25 e = 48 f = 5
	degree seq :: [ 2^24, 48 ]

E10.302 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {8, 12, 24})
Quotient :: dipole
Aut^+ = C24 (small group id <24, 2>)
Aut   = D48 (small group id <48, 7>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1^-1, (R * Y1)^2, (R * Y2)^2, (R * Y3)^2, Y2 * Y3 * Y2^-1 * Y1, Y3^2 * Y2^3 * Y1^-1, Y3 * Y2^-1 * Y1^-2 * Y2^-2 * Y1^-2, Y1^8, (Y2^-1 * Y1^-1)^12, (Y3^-2 * Y1)^8 ]
Map::
	R = (1, 25, 2, 26, 6, 30, 14, 38, 22, 46, 19, 43, 11, 35, 4, 28)(3, 27, 7, 31, 15, 39, 23, 47, 21, 45, 13, 37, 18, 42, 10, 34)(5, 29, 8, 32, 16, 40, 9, 33, 17, 41, 24, 48, 20, 44, 12, 36)(49, 73, 51, 75, 57, 81, 62, 86, 71, 95, 68, 92, 59, 83, 66, 90, 56, 80, 50, 74, 55, 79, 65, 89, 70, 94, 69, 93, 60, 84, 52, 76, 58, 82, 64, 88, 54, 78, 63, 87, 72, 96, 67, 91, 61, 85, 53, 77)
	L = (1, 52)(2, 49)(3, 58)(4, 59)(5, 60)(6, 50)(7, 51)(8, 53)(9, 64)(10, 66)(11, 67)(12, 68)(13, 69)(14, 54)(15, 55)(16, 56)(17, 57)(18, 61)(19, 70)(20, 72)(21, 71)(22, 62)(23, 63)(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) :: { ( 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24 ), ( 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 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 E10.305
Graph:: bipartite
	v = 4 e = 48 f = 26
	degree seq :: [ 16^3, 48 ]

E10.303 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {8, 12, 24})
Quotient :: dipole
Aut^+ = C24 (small group id <24, 2>)
Aut   = D48 (small group id <48, 7>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y1, Y2^-3 * Y1^-1, (R * Y1)^2, (R * Y2)^2, (R * Y3)^2, (Y3^-1, Y2^-1), Y1^8, Y2^-1 * Y3^2 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 ]
Map::
	R = (1, 25, 2, 26, 6, 30, 12, 36, 18, 42, 17, 41, 11, 35, 4, 28)(3, 27, 7, 31, 13, 37, 19, 43, 23, 47, 22, 46, 16, 40, 10, 34)(5, 29, 8, 32, 14, 38, 20, 44, 24, 48, 21, 45, 15, 39, 9, 33)(49, 73, 51, 75, 57, 81, 52, 76, 58, 82, 63, 87, 59, 83, 64, 88, 69, 93, 65, 89, 70, 94, 72, 96, 66, 90, 71, 95, 68, 92, 60, 84, 67, 91, 62, 86, 54, 78, 61, 85, 56, 80, 50, 74, 55, 79, 53, 77)
	L = (1, 52)(2, 49)(3, 58)(4, 59)(5, 57)(6, 50)(7, 51)(8, 53)(9, 63)(10, 64)(11, 65)(12, 54)(13, 55)(14, 56)(15, 69)(16, 70)(17, 66)(18, 60)(19, 61)(20, 62)(21, 72)(22, 71)(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) :: { ( 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24 ), ( 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 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 E10.304
Graph:: bipartite
	v = 4 e = 48 f = 26
	degree seq :: [ 16^3, 48 ]

E10.304 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {8, 12, 24})
Quotient :: dipole
Aut^+ = C24 (small group id <24, 2>)
Aut   = D48 (small group id <48, 7>)
|r| :: 2
Presentation :: [ Y2, R^2, Y1 * Y3^-2, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, Y1^12, (Y3^-1 * Y1^-1)^8, (Y3 * Y2^-1)^24 ]
Map::
	R = (1, 25, 2, 26, 6, 30, 10, 34, 14, 38, 18, 42, 22, 46, 20, 44, 16, 40, 12, 36, 8, 32, 4, 28)(3, 27, 7, 31, 11, 35, 15, 39, 19, 43, 23, 47, 24, 48, 21, 45, 17, 41, 13, 37, 9, 33, 5, 29)(49, 73)(50, 74)(51, 75)(52, 76)(53, 77)(54, 78)(55, 79)(56, 80)(57, 81)(58, 82)(59, 83)(60, 84)(61, 85)(62, 86)(63, 87)(64, 88)(65, 89)(66, 90)(67, 91)(68, 92)(69, 93)(70, 94)(71, 95)(72, 96)
	L = (1, 51)(2, 55)(3, 50)(4, 53)(5, 49)(6, 59)(7, 54)(8, 57)(9, 52)(10, 63)(11, 58)(12, 61)(13, 56)(14, 67)(15, 62)(16, 65)(17, 60)(18, 71)(19, 66)(20, 69)(21, 64)(22, 72)(23, 70)(24, 68)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 16, 48 ), ( 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48 ) }
Outer automorphisms :: reflexible
Dual of E10.303
Graph:: simple bipartite
	v = 26 e = 48 f = 4
	degree seq :: [ 2^24, 24^2 ]

E10.305 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {8, 12, 24})
Quotient :: dipole
Aut^+ = C24 (small group id <24, 2>)
Aut   = D48 (small group id <48, 7>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y1)^2, (R * Y3)^2, (Y3^-1, Y1^-1), Y3^3 * Y1^-1 * Y3 * Y1^-1, (R * Y2 * Y3^-1)^2, Y1^2 * Y3 * Y1 * Y3 * Y1^2, (Y3^-1 * Y1^-1 * Y3^-1)^3, (Y3 * Y2^-1)^24 ]
Map::
	R = (1, 25, 2, 26, 6, 30, 14, 38, 22, 46, 13, 37, 18, 42, 9, 33, 17, 41, 20, 44, 11, 35, 4, 28)(3, 27, 7, 31, 15, 39, 21, 45, 12, 36, 5, 29, 8, 32, 16, 40, 23, 47, 24, 48, 19, 43, 10, 34)(49, 73)(50, 74)(51, 75)(52, 76)(53, 77)(54, 78)(55, 79)(56, 80)(57, 81)(58, 82)(59, 83)(60, 84)(61, 85)(62, 86)(63, 87)(64, 88)(65, 89)(66, 90)(67, 91)(68, 92)(69, 93)(70, 94)(71, 95)(72, 96)
	L = (1, 51)(2, 55)(3, 57)(4, 58)(5, 49)(6, 63)(7, 65)(8, 50)(9, 64)(10, 66)(11, 67)(12, 52)(13, 53)(14, 69)(15, 68)(16, 54)(17, 71)(18, 56)(19, 61)(20, 72)(21, 59)(22, 60)(23, 62)(24, 70)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 16, 48 ), ( 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48 ) }
Outer automorphisms :: reflexible
Dual of E10.302
Graph:: simple bipartite
	v = 26 e = 48 f = 4
	degree seq :: [ 2^24, 24^2 ]

E10.306 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {6, 24, 24})
Quotient :: edge
Aut^+ = C24 (small group id <24, 2>)
Aut   = D48 (small group id <48, 7>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, (T2^-1, T1^-1), T2^4 * T1^-1, T1^6, (T1^-1 * T2^-1)^24 ]
Map:: non-degenerate
	R = (1, 3, 9, 8, 2, 7, 17, 16, 6, 15, 23, 22, 14, 21, 24, 19, 11, 18, 20, 12, 4, 10, 13, 5)(25, 26, 30, 38, 35, 28)(27, 31, 39, 45, 42, 34)(29, 32, 40, 46, 43, 36)(33, 41, 47, 48, 44, 37)
	L = (1, 25)(2, 26)(3, 27)(4, 28)(5, 29)(6, 30)(7, 31)(8, 32)(9, 33)(10, 34)(11, 35)(12, 36)(13, 37)(14, 38)(15, 39)(16, 40)(17, 41)(18, 42)(19, 43)(20, 44)(21, 45)(22, 46)(23, 47)(24, 48)
	local type(s) :: { ( 48^6 ), ( 48^24 ) }
Outer automorphisms :: reflexible
Dual of E10.307
Transitivity :: ET+
Graph:: bipartite
	v = 5 e = 24 f = 1
	degree seq :: [ 6^4, 24 ]

E10.307 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {6, 24, 24})
Quotient :: loop
Aut^+ = C24 (small group id <24, 2>)
Aut   = D48 (small group id <48, 7>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, (T2^-1, T1^-1), T2^4 * T1^-1, T1^6, (T1^-1 * T2^-1)^24 ]
Map:: non-degenerate
	R = (1, 25, 3, 27, 9, 33, 8, 32, 2, 26, 7, 31, 17, 41, 16, 40, 6, 30, 15, 39, 23, 47, 22, 46, 14, 38, 21, 45, 24, 48, 19, 43, 11, 35, 18, 42, 20, 44, 12, 36, 4, 28, 10, 34, 13, 37, 5, 29)
	L = (1, 26)(2, 30)(3, 31)(4, 25)(5, 32)(6, 38)(7, 39)(8, 40)(9, 41)(10, 27)(11, 28)(12, 29)(13, 33)(14, 35)(15, 45)(16, 46)(17, 47)(18, 34)(19, 36)(20, 37)(21, 42)(22, 43)(23, 48)(24, 44)
	local type(s) :: { ( 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24 ) }
Outer automorphisms :: reflexible
Dual of E10.306
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 24 f = 5
	degree seq :: [ 48 ]

E10.308 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {6, 24, 24})
Quotient :: dipole
Aut^+ = C24 (small group id <24, 2>)
Aut   = D48 (small group id <48, 7>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y3, (R * Y3)^2, (Y2^-1, Y1^-1), (R * Y1)^2, (R * Y2)^2, (Y3^-1, Y2^-1), Y3 * Y2^4, Y3^6, Y2^-1 * Y3^2 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 ]
Map::
	R = (1, 25, 2, 26, 6, 30, 14, 38, 11, 35, 4, 28)(3, 27, 7, 31, 15, 39, 21, 45, 18, 42, 10, 34)(5, 29, 8, 32, 16, 40, 22, 46, 19, 43, 12, 36)(9, 33, 17, 41, 23, 47, 24, 48, 20, 44, 13, 37)(49, 73, 51, 75, 57, 81, 56, 80, 50, 74, 55, 79, 65, 89, 64, 88, 54, 78, 63, 87, 71, 95, 70, 94, 62, 86, 69, 93, 72, 96, 67, 91, 59, 83, 66, 90, 68, 92, 60, 84, 52, 76, 58, 82, 61, 85, 53, 77)
	L = (1, 52)(2, 49)(3, 58)(4, 59)(5, 60)(6, 50)(7, 51)(8, 53)(9, 61)(10, 66)(11, 62)(12, 67)(13, 68)(14, 54)(15, 55)(16, 56)(17, 57)(18, 69)(19, 70)(20, 72)(21, 63)(22, 64)(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) :: { ( 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48 ), ( 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48 ) }
Outer automorphisms :: reflexible
Dual of E10.309
Graph:: bipartite
	v = 5 e = 48 f = 25
	degree seq :: [ 12^4, 48 ]

E10.309 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {6, 24, 24})
Quotient :: dipole
Aut^+ = C24 (small group id <24, 2>)
Aut   = D48 (small group id <48, 7>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y1)^2, (R * Y3)^2, (Y3^-1, Y1^-1), Y3^-1 * Y1^4, (R * Y2 * Y3^-1)^2, Y3^6, (Y3 * Y2^-1)^6, (Y1^-1 * Y3^-1)^24 ]
Map::
	R = (1, 25, 2, 26, 6, 30, 10, 34, 3, 27, 7, 31, 14, 38, 18, 42, 9, 33, 15, 39, 21, 45, 23, 47, 17, 41, 22, 46, 24, 48, 20, 44, 13, 37, 16, 40, 19, 43, 12, 36, 5, 29, 8, 32, 11, 35, 4, 28)(49, 73)(50, 74)(51, 75)(52, 76)(53, 77)(54, 78)(55, 79)(56, 80)(57, 81)(58, 82)(59, 83)(60, 84)(61, 85)(62, 86)(63, 87)(64, 88)(65, 89)(66, 90)(67, 91)(68, 92)(69, 93)(70, 94)(71, 95)(72, 96)
	L = (1, 51)(2, 55)(3, 57)(4, 58)(5, 49)(6, 62)(7, 63)(8, 50)(9, 65)(10, 66)(11, 54)(12, 52)(13, 53)(14, 69)(15, 70)(16, 56)(17, 61)(18, 71)(19, 59)(20, 60)(21, 72)(22, 64)(23, 68)(24, 67)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 12, 48 ), ( 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48 ) }
Outer automorphisms :: reflexible
Dual of E10.308
Graph:: bipartite
	v = 25 e = 48 f = 5
	degree seq :: [ 2^24, 48 ]

E10.310 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {5, 25, 25})
Quotient :: edge
Aut^+ = C25 (small group id <25, 1>)
Aut   = D50 (small group id <50, 1>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, (T2^-1, T1^-1), T1^5, T2^5 * T1^-1, (T1^-1 * T2^-1)^25 ]
Map:: non-degenerate
	R = (1, 3, 9, 17, 8, 2, 7, 16, 23, 15, 6, 14, 22, 25, 20, 11, 19, 24, 21, 12, 4, 10, 18, 13, 5)(26, 27, 31, 36, 29)(28, 32, 39, 44, 35)(30, 33, 40, 45, 37)(34, 41, 47, 49, 43)(38, 42, 48, 50, 46)
	L = (1, 26)(2, 27)(3, 28)(4, 29)(5, 30)(6, 31)(7, 32)(8, 33)(9, 34)(10, 35)(11, 36)(12, 37)(13, 38)(14, 39)(15, 40)(16, 41)(17, 42)(18, 43)(19, 44)(20, 45)(21, 46)(22, 47)(23, 48)(24, 49)(25, 50)
	local type(s) :: { ( 50^5 ), ( 50^25 ) }
Outer automorphisms :: reflexible
Dual of E10.317
Transitivity :: ET+
Graph:: bipartite
	v = 6 e = 25 f = 1
	degree seq :: [ 5^5, 25 ]

E10.311 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {5, 25, 25})
Quotient :: edge
Aut^+ = C25 (small group id <25, 1>)
Aut   = D50 (small group id <50, 1>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, (T2^-1, T1^-1), T1^5, T1^-1 * T2^-5, T1^-1 * T2^3 * T1^-1 * T2^3 * T1^-1 * T2^3 * T1^-1 * T2^3 * T1^-1 * T2^3 * T1^-1 * T2^3 * T1^-1 * T2^3 * T1^-1 * T2^3 * T1^-1 * T2^3 * T1^-1 * T2^3 * T1^-1 * T2^3 * T1^-1 * T2^2 * T1^-1 ]
Map:: non-degenerate
	R = (1, 3, 9, 18, 12, 4, 10, 19, 24, 21, 11, 20, 25, 23, 15, 6, 14, 22, 17, 8, 2, 7, 16, 13, 5)(26, 27, 31, 36, 29)(28, 32, 39, 45, 35)(30, 33, 40, 46, 37)(34, 41, 47, 50, 44)(38, 42, 48, 49, 43)
	L = (1, 26)(2, 27)(3, 28)(4, 29)(5, 30)(6, 31)(7, 32)(8, 33)(9, 34)(10, 35)(11, 36)(12, 37)(13, 38)(14, 39)(15, 40)(16, 41)(17, 42)(18, 43)(19, 44)(20, 45)(21, 46)(22, 47)(23, 48)(24, 49)(25, 50)
	local type(s) :: { ( 50^5 ), ( 50^25 ) }
Outer automorphisms :: reflexible
Dual of E10.316
Transitivity :: ET+
Graph:: bipartite
	v = 6 e = 25 f = 1
	degree seq :: [ 5^5, 25 ]

E10.312 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {5, 25, 25})
Quotient :: edge
Aut^+ = C25 (small group id <25, 1>)
Aut   = D50 (small group id <50, 1>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, (T2^-1, T1^-1), T1^5, T1^5, T2^-5 * T1^2, (T1^-1 * T2^-1)^25 ]
Map:: non-degenerate
	R = (1, 3, 9, 18, 15, 6, 14, 24, 22, 12, 4, 10, 19, 17, 8, 2, 7, 16, 25, 21, 11, 20, 23, 13, 5)(26, 27, 31, 36, 29)(28, 32, 39, 45, 35)(30, 33, 40, 46, 37)(34, 41, 49, 48, 44)(38, 42, 43, 50, 47)
	L = (1, 26)(2, 27)(3, 28)(4, 29)(5, 30)(6, 31)(7, 32)(8, 33)(9, 34)(10, 35)(11, 36)(12, 37)(13, 38)(14, 39)(15, 40)(16, 41)(17, 42)(18, 43)(19, 44)(20, 45)(21, 46)(22, 47)(23, 48)(24, 49)(25, 50)
	local type(s) :: { ( 50^5 ), ( 50^25 ) }
Outer automorphisms :: reflexible
Dual of E10.319
Transitivity :: ET+
Graph:: bipartite
	v = 6 e = 25 f = 1
	degree seq :: [ 5^5, 25 ]

E10.313 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {5, 25, 25})
Quotient :: edge
Aut^+ = C25 (small group id <25, 1>)
Aut   = D50 (small group id <50, 1>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, (T2^-1, T1^-1), T1^5, T2^5 * T1^2, T2 * T1^-1 * T2 * T1^-1 * T2^3 * T1^-1 ]
Map:: non-degenerate
	R = (1, 3, 9, 18, 21, 11, 20, 25, 17, 8, 2, 7, 16, 22, 12, 4, 10, 19, 24, 15, 6, 14, 23, 13, 5)(26, 27, 31, 36, 29)(28, 32, 39, 45, 35)(30, 33, 40, 46, 37)(34, 41, 48, 50, 44)(38, 42, 49, 43, 47)
	L = (1, 26)(2, 27)(3, 28)(4, 29)(5, 30)(6, 31)(7, 32)(8, 33)(9, 34)(10, 35)(11, 36)(12, 37)(13, 38)(14, 39)(15, 40)(16, 41)(17, 42)(18, 43)(19, 44)(20, 45)(21, 46)(22, 47)(23, 48)(24, 49)(25, 50)
	local type(s) :: { ( 50^5 ), ( 50^25 ) }
Outer automorphisms :: reflexible
Dual of E10.318
Transitivity :: ET+
Graph:: bipartite
	v = 6 e = 25 f = 1
	degree seq :: [ 5^5, 25 ]

E10.314 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {5, 25, 25})
Quotient :: edge
Aut^+ = C25 (small group id <25, 1>)
Aut   = D50 (small group id <50, 1>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, (T2^-1, T1^-1), T1^-1 * T2 * T1^-3, T2 * T1 * T2^5, (T1^-1 * T2^-1)^5 ]
Map:: non-degenerate
	R = (1, 3, 9, 17, 20, 12, 4, 10, 18, 24, 25, 19, 11, 6, 14, 22, 23, 16, 8, 2, 7, 15, 21, 13, 5)(26, 27, 31, 35, 28, 32, 39, 43, 34, 40, 47, 49, 42, 46, 48, 50, 45, 38, 41, 44, 37, 30, 33, 36, 29)
	L = (1, 26)(2, 27)(3, 28)(4, 29)(5, 30)(6, 31)(7, 32)(8, 33)(9, 34)(10, 35)(11, 36)(12, 37)(13, 38)(14, 39)(15, 40)(16, 41)(17, 42)(18, 43)(19, 44)(20, 45)(21, 46)(22, 47)(23, 48)(24, 49)(25, 50)
	local type(s) :: { ( 10^25 ) }
Outer automorphisms :: reflexible
Dual of E10.320
Transitivity :: ET+
Graph:: bipartite
	v = 2 e = 25 f = 5
	degree seq :: [ 25^2 ]

E10.315 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {5, 25, 25})
Quotient :: edge
Aut^+ = C25 (small group id <25, 1>)
Aut   = D50 (small group id <50, 1>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, (T2^-1, T1^-1), T2^-1 * T1 * T2^-2 * T1, T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^4, T1^4 * T2 * T1 * T2 * T1^2 ]
Map:: non-degenerate
	R = (1, 3, 9, 6, 15, 22, 20, 24, 17, 19, 12, 4, 10, 8, 2, 7, 16, 14, 21, 23, 25, 18, 11, 13, 5)(26, 27, 31, 39, 45, 50, 44, 38, 35, 28, 32, 40, 46, 49, 43, 37, 30, 33, 34, 41, 47, 48, 42, 36, 29)
	L = (1, 26)(2, 27)(3, 28)(4, 29)(5, 30)(6, 31)(7, 32)(8, 33)(9, 34)(10, 35)(11, 36)(12, 37)(13, 38)(14, 39)(15, 40)(16, 41)(17, 42)(18, 43)(19, 44)(20, 45)(21, 46)(22, 47)(23, 48)(24, 49)(25, 50)
	local type(s) :: { ( 10^25 ) }
Outer automorphisms :: reflexible
Dual of E10.321
Transitivity :: ET+
Graph:: bipartite
	v = 2 e = 25 f = 5
	degree seq :: [ 25^2 ]

E10.316 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {5, 25, 25})
Quotient :: loop
Aut^+ = C25 (small group id <25, 1>)
Aut   = D50 (small group id <50, 1>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, (T2^-1, T1^-1), T1^5, T2^5 * T1^-1, (T1^-1 * T2^-1)^25 ]
Map:: non-degenerate
	R = (1, 26, 3, 28, 9, 34, 17, 42, 8, 33, 2, 27, 7, 32, 16, 41, 23, 48, 15, 40, 6, 31, 14, 39, 22, 47, 25, 50, 20, 45, 11, 36, 19, 44, 24, 49, 21, 46, 12, 37, 4, 29, 10, 35, 18, 43, 13, 38, 5, 30)
	L = (1, 27)(2, 31)(3, 32)(4, 26)(5, 33)(6, 36)(7, 39)(8, 40)(9, 41)(10, 28)(11, 29)(12, 30)(13, 42)(14, 44)(15, 45)(16, 47)(17, 48)(18, 34)(19, 35)(20, 37)(21, 38)(22, 49)(23, 50)(24, 43)(25, 46)
	local type(s) :: { ( 5, 25, 5, 25, 5, 25, 5, 25, 5, 25, 5, 25, 5, 25, 5, 25, 5, 25, 5, 25, 5, 25, 5, 25, 5, 25, 5, 25, 5, 25, 5, 25, 5, 25, 5, 25, 5, 25, 5, 25, 5, 25, 5, 25, 5, 25, 5, 25, 5, 25 ) }
Outer automorphisms :: reflexible
Dual of E10.311
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 25 f = 6
	degree seq :: [ 50 ]

E10.317 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {5, 25, 25})
Quotient :: loop
Aut^+ = C25 (small group id <25, 1>)
Aut   = D50 (small group id <50, 1>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, (T2^-1, T1^-1), T1^5, T1^-1 * T2^-5, T1^-1 * T2^3 * T1^-1 * T2^3 * T1^-1 * T2^3 * T1^-1 * T2^3 * T1^-1 * T2^3 * T1^-1 * T2^3 * T1^-1 * T2^3 * T1^-1 * T2^3 * T1^-1 * T2^3 * T1^-1 * T2^3 * T1^-1 * T2^3 * T1^-1 * T2^2 * T1^-1 ]
Map:: non-degenerate
	R = (1, 26, 3, 28, 9, 34, 18, 43, 12, 37, 4, 29, 10, 35, 19, 44, 24, 49, 21, 46, 11, 36, 20, 45, 25, 50, 23, 48, 15, 40, 6, 31, 14, 39, 22, 47, 17, 42, 8, 33, 2, 27, 7, 32, 16, 41, 13, 38, 5, 30)
	L = (1, 27)(2, 31)(3, 32)(4, 26)(5, 33)(6, 36)(7, 39)(8, 40)(9, 41)(10, 28)(11, 29)(12, 30)(13, 42)(14, 45)(15, 46)(16, 47)(17, 48)(18, 38)(19, 34)(20, 35)(21, 37)(22, 50)(23, 49)(24, 43)(25, 44)
	local type(s) :: { ( 5, 25, 5, 25, 5, 25, 5, 25, 5, 25, 5, 25, 5, 25, 5, 25, 5, 25, 5, 25, 5, 25, 5, 25, 5, 25, 5, 25, 5, 25, 5, 25, 5, 25, 5, 25, 5, 25, 5, 25, 5, 25, 5, 25, 5, 25, 5, 25, 5, 25 ) }
Outer automorphisms :: reflexible
Dual of E10.310
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 25 f = 6
	degree seq :: [ 50 ]

E10.318 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {5, 25, 25})
Quotient :: loop
Aut^+ = C25 (small group id <25, 1>)
Aut   = D50 (small group id <50, 1>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, (T2^-1, T1^-1), T1^5, T1^5, T2^-5 * T1^2, (T1^-1 * T2^-1)^25 ]
Map:: non-degenerate
	R = (1, 26, 3, 28, 9, 34, 18, 43, 15, 40, 6, 31, 14, 39, 24, 49, 22, 47, 12, 37, 4, 29, 10, 35, 19, 44, 17, 42, 8, 33, 2, 27, 7, 32, 16, 41, 25, 50, 21, 46, 11, 36, 20, 45, 23, 48, 13, 38, 5, 30)
	L = (1, 27)(2, 31)(3, 32)(4, 26)(5, 33)(6, 36)(7, 39)(8, 40)(9, 41)(10, 28)(11, 29)(12, 30)(13, 42)(14, 45)(15, 46)(16, 49)(17, 43)(18, 50)(19, 34)(20, 35)(21, 37)(22, 38)(23, 44)(24, 48)(25, 47)
	local type(s) :: { ( 5, 25, 5, 25, 5, 25, 5, 25, 5, 25, 5, 25, 5, 25, 5, 25, 5, 25, 5, 25, 5, 25, 5, 25, 5, 25, 5, 25, 5, 25, 5, 25, 5, 25, 5, 25, 5, 25, 5, 25, 5, 25, 5, 25, 5, 25, 5, 25, 5, 25 ) }
Outer automorphisms :: reflexible
Dual of E10.313
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 25 f = 6
	degree seq :: [ 50 ]

E10.319 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {5, 25, 25})
Quotient :: loop
Aut^+ = C25 (small group id <25, 1>)
Aut   = D50 (small group id <50, 1>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, (T2^-1, T1^-1), T1^5, T2^5 * T1^2, T2 * T1^-1 * T2 * T1^-1 * T2^3 * T1^-1 ]
Map:: non-degenerate
	R = (1, 26, 3, 28, 9, 34, 18, 43, 21, 46, 11, 36, 20, 45, 25, 50, 17, 42, 8, 33, 2, 27, 7, 32, 16, 41, 22, 47, 12, 37, 4, 29, 10, 35, 19, 44, 24, 49, 15, 40, 6, 31, 14, 39, 23, 48, 13, 38, 5, 30)
	L = (1, 27)(2, 31)(3, 32)(4, 26)(5, 33)(6, 36)(7, 39)(8, 40)(9, 41)(10, 28)(11, 29)(12, 30)(13, 42)(14, 45)(15, 46)(16, 48)(17, 49)(18, 47)(19, 34)(20, 35)(21, 37)(22, 38)(23, 50)(24, 43)(25, 44)
	local type(s) :: { ( 5, 25, 5, 25, 5, 25, 5, 25, 5, 25, 5, 25, 5, 25, 5, 25, 5, 25, 5, 25, 5, 25, 5, 25, 5, 25, 5, 25, 5, 25, 5, 25, 5, 25, 5, 25, 5, 25, 5, 25, 5, 25, 5, 25, 5, 25, 5, 25, 5, 25 ) }
Outer automorphisms :: reflexible
Dual of E10.312
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 25 f = 6
	degree seq :: [ 50 ]

E10.320 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {5, 25, 25})
Quotient :: loop
Aut^+ = C25 (small group id <25, 1>)
Aut   = D50 (small group id <50, 1>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, (T2^-1, T1^-1), T2^5, T2 * T1^-5, (T1^-1 * T2^-1)^25 ]
Map:: non-degenerate
	R = (1, 26, 3, 28, 9, 34, 13, 38, 5, 30)(2, 27, 7, 32, 17, 42, 18, 43, 8, 33)(4, 29, 10, 35, 19, 44, 21, 46, 12, 37)(6, 31, 15, 40, 23, 48, 24, 49, 16, 41)(11, 36, 14, 39, 22, 47, 25, 50, 20, 45)
	L = (1, 27)(2, 31)(3, 32)(4, 26)(5, 33)(6, 39)(7, 40)(8, 41)(9, 42)(10, 28)(11, 29)(12, 30)(13, 43)(14, 35)(15, 47)(16, 36)(17, 48)(18, 49)(19, 34)(20, 37)(21, 38)(22, 44)(23, 50)(24, 45)(25, 46)
	local type(s) :: { ( 25^10 ) }
Outer automorphisms :: reflexible
Dual of E10.314
Transitivity :: ET+ VT+ AT
Graph::
	v = 5 e = 25 f = 2
	degree seq :: [ 10^5 ]

E10.321 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {5, 25, 25})
Quotient :: loop
Aut^+ = C25 (small group id <25, 1>)
Aut   = D50 (small group id <50, 1>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, (T2^-1, T1^-1), T2^5, T2^2 * T1^5, T2^-1 * T1 * T2^-1 * T1^3 * T2^-1 * T1 ]
Map:: non-degenerate
	R = (1, 26, 3, 28, 9, 34, 13, 38, 5, 30)(2, 27, 7, 32, 17, 42, 18, 43, 8, 33)(4, 29, 10, 35, 19, 44, 23, 48, 12, 37)(6, 31, 15, 40, 21, 46, 25, 50, 16, 41)(11, 36, 20, 45, 24, 49, 14, 39, 22, 47)
	L = (1, 27)(2, 31)(3, 32)(4, 26)(5, 33)(6, 39)(7, 40)(8, 41)(9, 42)(10, 28)(11, 29)(12, 30)(13, 43)(14, 48)(15, 47)(16, 49)(17, 46)(18, 50)(19, 34)(20, 35)(21, 36)(22, 37)(23, 38)(24, 44)(25, 45)
	local type(s) :: { ( 25^10 ) }
Outer automorphisms :: reflexible
Dual of E10.315
Transitivity :: ET+ VT+ AT
Graph::
	v = 5 e = 25 f = 2
	degree seq :: [ 10^5 ]

E10.322 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {5, 25, 25})
Quotient :: dipole
Aut^+ = C25 (small group id <25, 1>)
Aut   = D50 (small group id <50, 1>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y3^-1, (R * Y2)^2, (Y3^-1, Y2^-1), (R * Y1)^2, (R * Y3)^2, (Y2^-1, Y1^-1), Y1^5, Y3^5, Y3 * Y2^-5, Y2^-1 * Y3^2 * Y2^3 * Y3 * Y2^3 * Y3 * Y2^3 * Y3 * Y2^3 * Y3 * Y2^3 * Y3 * Y2^3 * Y3 * Y2^3 * Y3 * Y2^3 * Y3 * Y2^3 * Y3 * Y2^3 * Y3 * Y2^2 * Y3^2 * Y2^-1 ]
Map::
	R = (1, 26, 2, 27, 6, 31, 11, 36, 4, 29)(3, 28, 7, 32, 14, 39, 20, 45, 10, 35)(5, 30, 8, 33, 15, 40, 21, 46, 12, 37)(9, 34, 16, 41, 22, 47, 25, 50, 19, 44)(13, 38, 17, 42, 23, 48, 24, 49, 18, 43)(51, 76, 53, 78, 59, 84, 68, 93, 62, 87, 54, 79, 60, 85, 69, 94, 74, 99, 71, 96, 61, 86, 70, 95, 75, 100, 73, 98, 65, 90, 56, 81, 64, 89, 72, 97, 67, 92, 58, 83, 52, 77, 57, 82, 66, 91, 63, 88, 55, 80)
	L = (1, 54)(2, 51)(3, 60)(4, 61)(5, 62)(6, 52)(7, 53)(8, 55)(9, 69)(10, 70)(11, 56)(12, 71)(13, 68)(14, 57)(15, 58)(16, 59)(17, 63)(18, 74)(19, 75)(20, 64)(21, 65)(22, 66)(23, 67)(24, 73)(25, 72)(26, 76)(27, 77)(28, 78)(29, 79)(30, 80)(31, 81)(32, 82)(33, 83)(34, 84)(35, 85)(36, 86)(37, 87)(38, 88)(39, 89)(40, 90)(41, 91)(42, 92)(43, 93)(44, 94)(45, 95)(46, 96)(47, 97)(48, 98)(49, 99)(50, 100)
	local type(s) :: { ( 2, 50, 2, 50, 2, 50, 2, 50, 2, 50 ), ( 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50 ) }
Outer automorphisms :: reflexible
Dual of E10.330
Graph:: bipartite
	v = 6 e = 50 f = 26
	degree seq :: [ 10^5, 50 ]

E10.323 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {5, 25, 25})
Quotient :: dipole
Aut^+ = C25 (small group id <25, 1>)
Aut   = D50 (small group id <50, 1>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1^-1, (R * Y1)^2, (R * Y3)^2, (R * Y2)^2, (Y3^-1, Y2^-1), (Y2^-1, Y1^-1), Y1^5, Y2^5 * 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 ]
Map::
	R = (1, 26, 2, 27, 6, 31, 11, 36, 4, 29)(3, 28, 7, 32, 14, 39, 19, 44, 10, 35)(5, 30, 8, 33, 15, 40, 20, 45, 12, 37)(9, 34, 16, 41, 22, 47, 24, 49, 18, 43)(13, 38, 17, 42, 23, 48, 25, 50, 21, 46)(51, 76, 53, 78, 59, 84, 67, 92, 58, 83, 52, 77, 57, 82, 66, 91, 73, 98, 65, 90, 56, 81, 64, 89, 72, 97, 75, 100, 70, 95, 61, 86, 69, 94, 74, 99, 71, 96, 62, 87, 54, 79, 60, 85, 68, 93, 63, 88, 55, 80)
	L = (1, 54)(2, 51)(3, 60)(4, 61)(5, 62)(6, 52)(7, 53)(8, 55)(9, 68)(10, 69)(11, 56)(12, 70)(13, 71)(14, 57)(15, 58)(16, 59)(17, 63)(18, 74)(19, 64)(20, 65)(21, 75)(22, 66)(23, 67)(24, 72)(25, 73)(26, 76)(27, 77)(28, 78)(29, 79)(30, 80)(31, 81)(32, 82)(33, 83)(34, 84)(35, 85)(36, 86)(37, 87)(38, 88)(39, 89)(40, 90)(41, 91)(42, 92)(43, 93)(44, 94)(45, 95)(46, 96)(47, 97)(48, 98)(49, 99)(50, 100)
	local type(s) :: { ( 2, 50, 2, 50, 2, 50, 2, 50, 2, 50 ), ( 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50 ) }
Outer automorphisms :: reflexible
Dual of E10.331
Graph:: bipartite
	v = 6 e = 50 f = 26
	degree seq :: [ 10^5, 50 ]

E10.324 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {5, 25, 25})
Quotient :: dipole
Aut^+ = C25 (small group id <25, 1>)
Aut   = D50 (small group id <50, 1>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1^-1, (Y2^-1, Y1^-1), (R * Y1)^2, (R * Y3)^2, (Y3^-1, Y2^-1), (R * Y2)^2, Y1^5, Y3^4 * Y1^-1, Y1^5, Y3 * Y2 * Y3 * Y1^2 * Y2^-1, Y2^-5 * Y1^2, Y2^-1 * Y3^2 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 ]
Map::
	R = (1, 26, 2, 27, 6, 31, 11, 36, 4, 29)(3, 28, 7, 32, 14, 39, 20, 45, 10, 35)(5, 30, 8, 33, 15, 40, 21, 46, 12, 37)(9, 34, 16, 41, 24, 49, 23, 48, 19, 44)(13, 38, 17, 42, 18, 43, 25, 50, 22, 47)(51, 76, 53, 78, 59, 84, 68, 93, 65, 90, 56, 81, 64, 89, 74, 99, 72, 97, 62, 87, 54, 79, 60, 85, 69, 94, 67, 92, 58, 83, 52, 77, 57, 82, 66, 91, 75, 100, 71, 96, 61, 86, 70, 95, 73, 98, 63, 88, 55, 80)
	L = (1, 54)(2, 51)(3, 60)(4, 61)(5, 62)(6, 52)(7, 53)(8, 55)(9, 69)(10, 70)(11, 56)(12, 71)(13, 72)(14, 57)(15, 58)(16, 59)(17, 63)(18, 67)(19, 73)(20, 64)(21, 65)(22, 75)(23, 74)(24, 66)(25, 68)(26, 76)(27, 77)(28, 78)(29, 79)(30, 80)(31, 81)(32, 82)(33, 83)(34, 84)(35, 85)(36, 86)(37, 87)(38, 88)(39, 89)(40, 90)(41, 91)(42, 92)(43, 93)(44, 94)(45, 95)(46, 96)(47, 97)(48, 98)(49, 99)(50, 100)
	local type(s) :: { ( 2, 50, 2, 50, 2, 50, 2, 50, 2, 50 ), ( 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50 ) }
Outer automorphisms :: reflexible
Dual of E10.333
Graph:: bipartite
	v = 6 e = 50 f = 26
	degree seq :: [ 10^5, 50 ]

E10.325 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {5, 25, 25})
Quotient :: dipole
Aut^+ = C25 (small group id <25, 1>)
Aut   = D50 (small group id <50, 1>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y3, (Y2^-1, Y1^-1), (R * Y1)^2, (R * Y3)^2, (Y3^-1, Y2^-1), (R * Y2)^2, Y1^5, Y2^5 * Y1^2, Y3^10, Y2^-1 * Y3^2 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 ]
Map::
	R = (1, 26, 2, 27, 6, 31, 11, 36, 4, 29)(3, 28, 7, 32, 14, 39, 20, 45, 10, 35)(5, 30, 8, 33, 15, 40, 21, 46, 12, 37)(9, 34, 16, 41, 23, 48, 25, 50, 19, 44)(13, 38, 17, 42, 24, 49, 18, 43, 22, 47)(51, 76, 53, 78, 59, 84, 68, 93, 71, 96, 61, 86, 70, 95, 75, 100, 67, 92, 58, 83, 52, 77, 57, 82, 66, 91, 72, 97, 62, 87, 54, 79, 60, 85, 69, 94, 74, 99, 65, 90, 56, 81, 64, 89, 73, 98, 63, 88, 55, 80)
	L = (1, 54)(2, 51)(3, 60)(4, 61)(5, 62)(6, 52)(7, 53)(8, 55)(9, 69)(10, 70)(11, 56)(12, 71)(13, 72)(14, 57)(15, 58)(16, 59)(17, 63)(18, 74)(19, 75)(20, 64)(21, 65)(22, 68)(23, 66)(24, 67)(25, 73)(26, 76)(27, 77)(28, 78)(29, 79)(30, 80)(31, 81)(32, 82)(33, 83)(34, 84)(35, 85)(36, 86)(37, 87)(38, 88)(39, 89)(40, 90)(41, 91)(42, 92)(43, 93)(44, 94)(45, 95)(46, 96)(47, 97)(48, 98)(49, 99)(50, 100)
	local type(s) :: { ( 2, 50, 2, 50, 2, 50, 2, 50, 2, 50 ), ( 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50 ) }
Outer automorphisms :: reflexible
Dual of E10.332
Graph:: bipartite
	v = 6 e = 50 f = 26
	degree seq :: [ 10^5, 50 ]

E10.326 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {5, 25, 25})
Quotient :: dipole
Aut^+ = C25 (small group id <25, 1>)
Aut   = D50 (small group id <50, 1>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y2^-1, (R * Y1)^2, R * Y2 * R * Y3, (Y1, Y2^-1), Y1^-1 * Y2^4, Y1^3 * Y2 * Y1^3, Y1 * Y2^-1 * Y1^3 * Y2^-1 * Y1^2 * Y2^-1 * Y1, (Y3^-1 * Y1^-1)^5 ]
Map::
	R = (1, 26, 2, 27, 6, 31, 14, 39, 20, 45, 12, 37, 5, 30, 8, 33, 16, 41, 22, 47, 25, 50, 21, 46, 13, 38, 9, 34, 17, 42, 23, 48, 24, 49, 18, 43, 10, 35, 3, 28, 7, 32, 15, 40, 19, 44, 11, 36, 4, 29)(51, 76, 53, 78, 59, 84, 58, 83, 52, 77, 57, 82, 67, 92, 66, 91, 56, 81, 65, 90, 73, 98, 72, 97, 64, 89, 69, 94, 74, 99, 75, 100, 70, 95, 61, 86, 68, 93, 71, 96, 62, 87, 54, 79, 60, 85, 63, 88, 55, 80)
	L = (1, 53)(2, 57)(3, 59)(4, 60)(5, 51)(6, 65)(7, 67)(8, 52)(9, 58)(10, 63)(11, 68)(12, 54)(13, 55)(14, 69)(15, 73)(16, 56)(17, 66)(18, 71)(19, 74)(20, 61)(21, 62)(22, 64)(23, 72)(24, 75)(25, 70)(26, 76)(27, 77)(28, 78)(29, 79)(30, 80)(31, 81)(32, 82)(33, 83)(34, 84)(35, 85)(36, 86)(37, 87)(38, 88)(39, 89)(40, 90)(41, 91)(42, 92)(43, 93)(44, 94)(45, 95)(46, 96)(47, 97)(48, 98)(49, 99)(50, 100)
	local type(s) :: { ( 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 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 E10.328
Graph:: bipartite
	v = 2 e = 50 f = 30
	degree seq :: [ 50^2 ]

E10.327 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {5, 25, 25})
Quotient :: dipole
Aut^+ = C25 (small group id <25, 1>)
Aut   = D50 (small group id <50, 1>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y2^-1, (R * Y1)^2, R * Y2 * R * Y3, (Y1, Y2^-1), Y2^2 * Y1^-3, Y2^7 * Y1^2, (Y3^-1 * Y1^-1)^5 ]
Map::
	R = (1, 26, 2, 27, 6, 31, 9, 34, 15, 40, 20, 45, 22, 47, 24, 49, 19, 44, 17, 42, 12, 37, 5, 30, 8, 33, 10, 35, 3, 28, 7, 32, 14, 39, 16, 41, 21, 46, 25, 50, 23, 48, 18, 43, 13, 38, 11, 36, 4, 29)(51, 76, 53, 78, 59, 84, 66, 91, 72, 97, 73, 98, 67, 92, 61, 86, 58, 83, 52, 77, 57, 82, 65, 90, 71, 96, 74, 99, 68, 93, 62, 87, 54, 79, 60, 85, 56, 81, 64, 89, 70, 95, 75, 100, 69, 94, 63, 88, 55, 80)
	L = (1, 53)(2, 57)(3, 59)(4, 60)(5, 51)(6, 64)(7, 65)(8, 52)(9, 66)(10, 56)(11, 58)(12, 54)(13, 55)(14, 70)(15, 71)(16, 72)(17, 61)(18, 62)(19, 63)(20, 75)(21, 74)(22, 73)(23, 67)(24, 68)(25, 69)(26, 76)(27, 77)(28, 78)(29, 79)(30, 80)(31, 81)(32, 82)(33, 83)(34, 84)(35, 85)(36, 86)(37, 87)(38, 88)(39, 89)(40, 90)(41, 91)(42, 92)(43, 93)(44, 94)(45, 95)(46, 96)(47, 97)(48, 98)(49, 99)(50, 100)
	local type(s) :: { ( 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 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 E10.329
Graph:: bipartite
	v = 2 e = 50 f = 30
	degree seq :: [ 50^2 ]

E10.328 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {5, 25, 25})
Quotient :: dipole
Aut^+ = C25 (small group id <25, 1>)
Aut   = D50 (small group id <50, 1>)
|r| :: 2
Presentation :: [ Y1, R^2, (R * Y2)^2, (R * Y3)^2, (R * Y1)^2, (Y2, Y3^-1), Y2^5, Y2^-1 * Y3^5, Y3^-1 * Y2^-2 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-2, (Y3^-1 * Y1^-1)^25 ]
Map::
	R = (1, 26)(2, 27)(3, 28)(4, 29)(5, 30)(6, 31)(7, 32)(8, 33)(9, 34)(10, 35)(11, 36)(12, 37)(13, 38)(14, 39)(15, 40)(16, 41)(17, 42)(18, 43)(19, 44)(20, 45)(21, 46)(22, 47)(23, 48)(24, 49)(25, 50)(51, 76, 52, 77, 56, 81, 61, 86, 54, 79)(53, 78, 57, 82, 64, 89, 69, 94, 60, 85)(55, 80, 58, 83, 65, 90, 70, 95, 62, 87)(59, 84, 66, 91, 72, 97, 74, 99, 68, 93)(63, 88, 67, 92, 73, 98, 75, 100, 71, 96)
	L = (1, 53)(2, 57)(3, 59)(4, 60)(5, 51)(6, 64)(7, 66)(8, 52)(9, 67)(10, 68)(11, 69)(12, 54)(13, 55)(14, 72)(15, 56)(16, 73)(17, 58)(18, 63)(19, 74)(20, 61)(21, 62)(22, 75)(23, 65)(24, 71)(25, 70)(26, 76)(27, 77)(28, 78)(29, 79)(30, 80)(31, 81)(32, 82)(33, 83)(34, 84)(35, 85)(36, 86)(37, 87)(38, 88)(39, 89)(40, 90)(41, 91)(42, 92)(43, 93)(44, 94)(45, 95)(46, 96)(47, 97)(48, 98)(49, 99)(50, 100)
	local type(s) :: { ( 50, 50 ), ( 50^10 ) }
Outer automorphisms :: reflexible
Dual of E10.326
Graph:: simple bipartite
	v = 30 e = 50 f = 2
	degree seq :: [ 2^25, 10^5 ]

E10.329 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {5, 25, 25})
Quotient :: dipole
Aut^+ = C25 (small group id <25, 1>)
Aut   = D50 (small group id <50, 1>)
|r| :: 2
Presentation :: [ Y1, R^2, (Y3, Y2^-1), (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, Y2^-5, Y2^5, Y3^5 * Y2^-2, (Y3^-1 * Y1^-1)^25 ]
Map::
	R = (1, 26)(2, 27)(3, 28)(4, 29)(5, 30)(6, 31)(7, 32)(8, 33)(9, 34)(10, 35)(11, 36)(12, 37)(13, 38)(14, 39)(15, 40)(16, 41)(17, 42)(18, 43)(19, 44)(20, 45)(21, 46)(22, 47)(23, 48)(24, 49)(25, 50)(51, 76, 52, 77, 56, 81, 61, 86, 54, 79)(53, 78, 57, 82, 64, 89, 70, 95, 60, 85)(55, 80, 58, 83, 65, 90, 71, 96, 62, 87)(59, 84, 66, 91, 74, 99, 73, 98, 69, 94)(63, 88, 67, 92, 68, 93, 75, 100, 72, 97)
	L = (1, 53)(2, 57)(3, 59)(4, 60)(5, 51)(6, 64)(7, 66)(8, 52)(9, 68)(10, 69)(11, 70)(12, 54)(13, 55)(14, 74)(15, 56)(16, 75)(17, 58)(18, 65)(19, 67)(20, 73)(21, 61)(22, 62)(23, 63)(24, 72)(25, 71)(26, 76)(27, 77)(28, 78)(29, 79)(30, 80)(31, 81)(32, 82)(33, 83)(34, 84)(35, 85)(36, 86)(37, 87)(38, 88)(39, 89)(40, 90)(41, 91)(42, 92)(43, 93)(44, 94)(45, 95)(46, 96)(47, 97)(48, 98)(49, 99)(50, 100)
	local type(s) :: { ( 50, 50 ), ( 50^10 ) }
Outer automorphisms :: reflexible
Dual of E10.327
Graph:: simple bipartite
	v = 30 e = 50 f = 2
	degree seq :: [ 2^25, 10^5 ]

E10.330 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {5, 25, 25})
Quotient :: dipole
Aut^+ = C25 (small group id <25, 1>)
Aut   = D50 (small group id <50, 1>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y1)^2, (R * Y3)^2, (Y3^-1, Y1^-1), Y3^5, Y3 * Y1^-5, (R * Y2 * Y3^-1)^2, (Y3 * Y2^-1)^5, (Y1^-1 * Y3^-1)^25 ]
Map::
	R = (1, 26, 2, 27, 6, 31, 14, 39, 10, 35, 3, 28, 7, 32, 15, 40, 22, 47, 19, 44, 9, 34, 17, 42, 23, 48, 25, 50, 21, 46, 13, 38, 18, 43, 24, 49, 20, 45, 12, 37, 5, 30, 8, 33, 16, 41, 11, 36, 4, 29)(51, 76)(52, 77)(53, 78)(54, 79)(55, 80)(56, 81)(57, 82)(58, 83)(59, 84)(60, 85)(61, 86)(62, 87)(63, 88)(64, 89)(65, 90)(66, 91)(67, 92)(68, 93)(69, 94)(70, 95)(71, 96)(72, 97)(73, 98)(74, 99)(75, 100)
	L = (1, 53)(2, 57)(3, 59)(4, 60)(5, 51)(6, 65)(7, 67)(8, 52)(9, 63)(10, 69)(11, 64)(12, 54)(13, 55)(14, 72)(15, 73)(16, 56)(17, 68)(18, 58)(19, 71)(20, 61)(21, 62)(22, 75)(23, 74)(24, 66)(25, 70)(26, 76)(27, 77)(28, 78)(29, 79)(30, 80)(31, 81)(32, 82)(33, 83)(34, 84)(35, 85)(36, 86)(37, 87)(38, 88)(39, 89)(40, 90)(41, 91)(42, 92)(43, 93)(44, 94)(45, 95)(46, 96)(47, 97)(48, 98)(49, 99)(50, 100)
	local type(s) :: { ( 10, 50 ), ( 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50 ) }
Outer automorphisms :: reflexible
Dual of E10.322
Graph:: bipartite
	v = 26 e = 50 f = 6
	degree seq :: [ 2^25, 50 ]

E10.331 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {5, 25, 25})
Quotient :: dipole
Aut^+ = C25 (small group id <25, 1>)
Aut   = D50 (small group id <50, 1>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y1)^2, (R * Y3)^2, (Y3^-1, Y1^-1), Y3^5, Y3^-1 * Y1^2 * Y3 * Y1^-2, (R * Y2 * Y3^-1)^2, Y3^-1 * Y1^-5, (Y3 * Y2^-1)^5 ]
Map::
	R = (1, 26, 2, 27, 6, 31, 14, 39, 12, 37, 5, 30, 8, 33, 16, 41, 22, 47, 21, 46, 13, 38, 18, 43, 24, 49, 25, 50, 19, 44, 9, 34, 17, 42, 23, 48, 20, 45, 10, 35, 3, 28, 7, 32, 15, 40, 11, 36, 4, 29)(51, 76)(52, 77)(53, 78)(54, 79)(55, 80)(56, 81)(57, 82)(58, 83)(59, 84)(60, 85)(61, 86)(62, 87)(63, 88)(64, 89)(65, 90)(66, 91)(67, 92)(68, 93)(69, 94)(70, 95)(71, 96)(72, 97)(73, 98)(74, 99)(75, 100)
	L = (1, 53)(2, 57)(3, 59)(4, 60)(5, 51)(6, 65)(7, 67)(8, 52)(9, 63)(10, 69)(11, 70)(12, 54)(13, 55)(14, 61)(15, 73)(16, 56)(17, 68)(18, 58)(19, 71)(20, 75)(21, 62)(22, 64)(23, 74)(24, 66)(25, 72)(26, 76)(27, 77)(28, 78)(29, 79)(30, 80)(31, 81)(32, 82)(33, 83)(34, 84)(35, 85)(36, 86)(37, 87)(38, 88)(39, 89)(40, 90)(41, 91)(42, 92)(43, 93)(44, 94)(45, 95)(46, 96)(47, 97)(48, 98)(49, 99)(50, 100)
	local type(s) :: { ( 10, 50 ), ( 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50 ) }
Outer automorphisms :: reflexible
Dual of E10.323
Graph:: bipartite
	v = 26 e = 50 f = 6
	degree seq :: [ 2^25, 50 ]

E10.332 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {5, 25, 25})
Quotient :: dipole
Aut^+ = C25 (small group id <25, 1>)
Aut   = D50 (small group id <50, 1>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y1)^2, (R * Y3)^2, (Y3^-1, Y1^-1), Y3^-5, Y3^5, (R * Y2 * Y3^-1)^2, Y3^-2 * Y1^5, (Y3 * Y2^-1)^5, (Y1^-1 * Y3^-1)^25 ]
Map::
	R = (1, 26, 2, 27, 6, 31, 14, 39, 19, 44, 9, 34, 17, 42, 25, 50, 22, 47, 12, 37, 5, 30, 8, 33, 16, 41, 20, 45, 10, 35, 3, 28, 7, 32, 15, 40, 24, 49, 23, 48, 13, 38, 18, 43, 21, 46, 11, 36, 4, 29)(51, 76)(52, 77)(53, 78)(54, 79)(55, 80)(56, 81)(57, 82)(58, 83)(59, 84)(60, 85)(61, 86)(62, 87)(63, 88)(64, 89)(65, 90)(66, 91)(67, 92)(68, 93)(69, 94)(70, 95)(71, 96)(72, 97)(73, 98)(74, 99)(75, 100)
	L = (1, 53)(2, 57)(3, 59)(4, 60)(5, 51)(6, 65)(7, 67)(8, 52)(9, 63)(10, 69)(11, 70)(12, 54)(13, 55)(14, 74)(15, 75)(16, 56)(17, 68)(18, 58)(19, 73)(20, 64)(21, 66)(22, 61)(23, 62)(24, 72)(25, 71)(26, 76)(27, 77)(28, 78)(29, 79)(30, 80)(31, 81)(32, 82)(33, 83)(34, 84)(35, 85)(36, 86)(37, 87)(38, 88)(39, 89)(40, 90)(41, 91)(42, 92)(43, 93)(44, 94)(45, 95)(46, 96)(47, 97)(48, 98)(49, 99)(50, 100)
	local type(s) :: { ( 10, 50 ), ( 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50 ) }
Outer automorphisms :: reflexible
Dual of E10.325
Graph:: bipartite
	v = 26 e = 50 f = 6
	degree seq :: [ 2^25, 50 ]

E10.333 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {5, 25, 25})
Quotient :: dipole
Aut^+ = C25 (small group id <25, 1>)
Aut   = D50 (small group id <50, 1>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y1)^2, (R * Y3)^2, (Y3^-1, Y1^-1), Y3^5, (R * Y2 * Y3^-1)^2, Y3^2 * Y1^5, (Y3 * Y2^-1)^5, Y3^-2 * Y1^3 * Y3^-2 * Y1^3 * Y3^-4 * Y1^-1 ]
Map::
	R = (1, 26, 2, 27, 6, 31, 14, 39, 23, 48, 13, 38, 18, 43, 25, 50, 20, 45, 10, 35, 3, 28, 7, 32, 15, 40, 22, 47, 12, 37, 5, 30, 8, 33, 16, 41, 24, 49, 19, 44, 9, 34, 17, 42, 21, 46, 11, 36, 4, 29)(51, 76)(52, 77)(53, 78)(54, 79)(55, 80)(56, 81)(57, 82)(58, 83)(59, 84)(60, 85)(61, 86)(62, 87)(63, 88)(64, 89)(65, 90)(66, 91)(67, 92)(68, 93)(69, 94)(70, 95)(71, 96)(72, 97)(73, 98)(74, 99)(75, 100)
	L = (1, 53)(2, 57)(3, 59)(4, 60)(5, 51)(6, 65)(7, 67)(8, 52)(9, 63)(10, 69)(11, 70)(12, 54)(13, 55)(14, 72)(15, 71)(16, 56)(17, 68)(18, 58)(19, 73)(20, 74)(21, 75)(22, 61)(23, 62)(24, 64)(25, 66)(26, 76)(27, 77)(28, 78)(29, 79)(30, 80)(31, 81)(32, 82)(33, 83)(34, 84)(35, 85)(36, 86)(37, 87)(38, 88)(39, 89)(40, 90)(41, 91)(42, 92)(43, 93)(44, 94)(45, 95)(46, 96)(47, 97)(48, 98)(49, 99)(50, 100)
	local type(s) :: { ( 10, 50 ), ( 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50 ) }
Outer automorphisms :: reflexible
Dual of E10.324
Graph:: bipartite
	v = 26 e = 50 f = 6
	degree seq :: [ 2^25, 50 ]

E10.334 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {3, 3, 3, 3})
Quotient :: edge^2
Aut^+ = (C3 x C3) : C3 (small group id <27, 3>)
Aut   = ((C3 x C3) : C3) : C2 (small group id <54, 5>)
|r| :: 2
Presentation :: [ R^2, Y3^3, Y2^3, Y1^3, (Y2, Y3^-1), (R * Y3)^2, R * Y1 * R * Y2, (Y3^-1, Y1^-1), Y1 * Y3 * Y2^-1 * Y1^-1 * Y2, (Y2^-1 * Y1^-1)^3, (Y2 * Y1^-1)^3 ]
Map:: polytopal non-degenerate
	R = (1, 28, 4, 31, 7, 34)(2, 29, 9, 36, 11, 38)(3, 30, 13, 40, 15, 42)(5, 32, 16, 43, 20, 47)(6, 33, 17, 44, 23, 50)(8, 35, 25, 52, 12, 39)(10, 37, 21, 48, 27, 54)(14, 41, 24, 51, 18, 45)(19, 46, 26, 53, 22, 49)(55, 56, 59)(57, 66, 68)(58, 63, 70)(60, 75, 76)(61, 65, 74)(62, 78, 67)(64, 80, 77)(69, 79, 72)(71, 81, 73)(82, 84, 87)(83, 89, 91)(85, 94, 98)(86, 99, 100)(88, 96, 104)(90, 106, 102)(92, 93, 108)(95, 107, 97)(101, 105, 103)
	L = (1, 55)(2, 56)(3, 57)(4, 58)(5, 59)(6, 60)(7, 61)(8, 62)(9, 63)(10, 64)(11, 65)(12, 66)(13, 67)(14, 68)(15, 69)(16, 70)(17, 71)(18, 72)(19, 73)(20, 74)(21, 75)(22, 76)(23, 77)(24, 78)(25, 79)(26, 80)(27, 81)(28, 82)(29, 83)(30, 84)(31, 85)(32, 86)(33, 87)(34, 88)(35, 89)(36, 90)(37, 91)(38, 92)(39, 93)(40, 94)(41, 95)(42, 96)(43, 97)(44, 98)(45, 99)(46, 100)(47, 101)(48, 102)(49, 103)(50, 104)(51, 105)(52, 106)(53, 107)(54, 108)
	local type(s) :: { ( 12^3 ), ( 12^6 ) }
Outer automorphisms :: reflexible
Dual of E10.341
Graph:: simple bipartite
	v = 27 e = 54 f = 9
	degree seq :: [ 3^18, 6^9 ]

E10.335 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {3, 3, 3, 3})
Quotient :: edge^2
Aut^+ = (C3 x C3) : C3 (small group id <27, 3>)
Aut   = ((C3 x C3) : C3) : C2 (small group id <54, 5>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y2^-1, Y2^3, Y1^2 * Y2^-1, Y3^3, R * Y1 * R * Y2, (R * Y3)^2, (Y3 * Y1^-1)^3, Y3 * Y2 * Y3 * Y2 * Y3 * Y1^-1, Y2 * Y3^-1 * Y2 * Y3^-1 * Y1^-1 * Y3^-1, Y1 * Y3^-1 * Y1 * Y3^-1 * Y2^-1 * Y3^-1 ]
Map:: non-degenerate
	R = (1, 28, 4, 31, 5, 32)(2, 29, 6, 33, 7, 34)(3, 30, 8, 35, 9, 36)(10, 37, 21, 48, 22, 49)(11, 38, 16, 43, 23, 50)(12, 39, 24, 51, 19, 46)(13, 40, 25, 52, 14, 41)(15, 42, 20, 47, 26, 53)(17, 44, 27, 54, 18, 45)(55, 56, 57)(58, 64, 65)(59, 66, 67)(60, 68, 69)(61, 70, 71)(62, 72, 73)(63, 74, 75)(76, 79, 81)(77, 80, 78)(82, 84, 83)(85, 92, 91)(86, 94, 93)(87, 96, 95)(88, 98, 97)(89, 100, 99)(90, 102, 101)(103, 108, 106)(104, 105, 107)
	L = (1, 55)(2, 56)(3, 57)(4, 58)(5, 59)(6, 60)(7, 61)(8, 62)(9, 63)(10, 64)(11, 65)(12, 66)(13, 67)(14, 68)(15, 69)(16, 70)(17, 71)(18, 72)(19, 73)(20, 74)(21, 75)(22, 76)(23, 77)(24, 78)(25, 79)(26, 80)(27, 81)(28, 82)(29, 83)(30, 84)(31, 85)(32, 86)(33, 87)(34, 88)(35, 89)(36, 90)(37, 91)(38, 92)(39, 93)(40, 94)(41, 95)(42, 96)(43, 97)(44, 98)(45, 99)(46, 100)(47, 101)(48, 102)(49, 103)(50, 104)(51, 105)(52, 106)(53, 107)(54, 108)
	local type(s) :: { ( 12^3 ), ( 12^6 ) }
Outer automorphisms :: reflexible
Dual of E10.340
Graph:: simple bipartite
	v = 27 e = 54 f = 9
	degree seq :: [ 3^18, 6^9 ]

E10.336 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {3, 3, 3, 3})
Quotient :: edge^2
Aut^+ = (C3 x C3) : C3 (small group id <27, 3>)
Aut   = ((C3 x C3) : C3) : C2 (small group id <54, 5>)
|r| :: 2
Presentation :: [ R^2, Y2^3, Y3^3, Y1^3, Y2 * Y1 * Y3, (R * Y3)^2, R * Y1 * R * Y2, Y2 * Y3 * Y1 * Y3^-1 * Y2^-1 * Y1^-1, Y2 * Y1^-1 * Y3^-1 * Y1 * Y2 * Y1^-1, Y2^-1 * Y1 * Y3^-1 * Y2^-1 * Y1^-1 * Y3^-1 * Y1 ]
Map:: polytopal non-degenerate
	R = (1, 28, 4, 31, 7, 34)(2, 29, 6, 33, 10, 37)(3, 30, 11, 38, 13, 40)(5, 32, 9, 36, 17, 44)(8, 35, 20, 47, 22, 49)(12, 39, 19, 46, 23, 50)(14, 41, 16, 43, 25, 52)(15, 42, 21, 48, 24, 51)(18, 45, 26, 53, 27, 54)(55, 56, 59)(57, 61, 66)(58, 68, 69)(60, 67, 72)(62, 64, 75)(63, 76, 77)(65, 74, 79)(70, 71, 80)(73, 78, 81)(82, 84, 87)(83, 89, 90)(85, 86, 97)(88, 96, 100)(91, 99, 105)(92, 93, 103)(94, 106, 107)(95, 101, 102)(98, 104, 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) :: { ( 12^3 ), ( 12^6 ) }
Outer automorphisms :: reflexible
Dual of E10.339
Graph:: simple bipartite
	v = 27 e = 54 f = 9
	degree seq :: [ 3^18, 6^9 ]

E10.337 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {3, 3, 3, 3})
Quotient :: edge^2
Aut^+ = (C3 x C3) : C3 (small group id <27, 3>)
Aut   = ((C3 x C3) : C3) : C2 (small group id <54, 5>)
|r| :: 2
Presentation :: [ R^2, Y2^3, Y3^3, Y2^-1 * Y1^-1 * Y3, Y1^3, R * Y2 * R * Y1, (R * Y3)^2, Y1^-1 * Y2 * Y1^-1 * Y2^-1 * Y3^-1 * Y2 ]
Map:: non-degenerate
	R = (1, 28, 4, 31, 7, 34)(2, 29, 8, 35, 10, 37)(3, 30, 12, 39, 5, 32)(6, 33, 18, 45, 13, 40)(9, 36, 23, 50, 15, 42)(11, 38, 22, 49, 24, 51)(14, 41, 26, 53, 25, 52)(16, 43, 27, 54, 21, 48)(17, 44, 19, 46, 20, 47)(55, 56, 59)(57, 65, 67)(58, 68, 69)(60, 71, 61)(62, 74, 75)(63, 76, 64)(66, 70, 80)(72, 77, 81)(73, 78, 79)(82, 84, 87)(83, 85, 90)(86, 89, 97)(88, 100, 95)(91, 105, 101)(92, 93, 106)(94, 103, 104)(96, 107, 108)(98, 99, 102)
	L = (1, 55)(2, 56)(3, 57)(4, 58)(5, 59)(6, 60)(7, 61)(8, 62)(9, 63)(10, 64)(11, 65)(12, 66)(13, 67)(14, 68)(15, 69)(16, 70)(17, 71)(18, 72)(19, 73)(20, 74)(21, 75)(22, 76)(23, 77)(24, 78)(25, 79)(26, 80)(27, 81)(28, 82)(29, 83)(30, 84)(31, 85)(32, 86)(33, 87)(34, 88)(35, 89)(36, 90)(37, 91)(38, 92)(39, 93)(40, 94)(41, 95)(42, 96)(43, 97)(44, 98)(45, 99)(46, 100)(47, 101)(48, 102)(49, 103)(50, 104)(51, 105)(52, 106)(53, 107)(54, 108)
	local type(s) :: { ( 12^3 ), ( 12^6 ) }
Outer automorphisms :: reflexible
Dual of E10.342
Graph:: simple bipartite
	v = 27 e = 54 f = 9
	degree seq :: [ 3^18, 6^9 ]

E10.338 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {3, 3, 3, 3})
Quotient :: edge^2
Aut^+ = (C3 x C3) : C3 (small group id <27, 3>)
Aut   = ((C3 x C3) : C3) : C2 (small group id <54, 8>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y1^-1, Y3^3, Y1^3, Y2^3, (R * Y3)^2, R * Y1 * R * Y2, (Y3 * Y1^-1)^3, (Y1 * Y3^-1)^3, (Y3^-1 * Y1^-1)^3, (Y1^-1 * Y3^-1 * Y2^-1)^3 ]
Map:: polytopal non-degenerate
	R = (1, 28, 3, 30, 5, 32)(2, 29, 6, 33, 7, 34)(4, 31, 10, 37, 11, 38)(8, 35, 18, 45, 19, 46)(9, 36, 16, 43, 20, 47)(12, 39, 24, 51, 22, 49)(13, 40, 25, 52, 14, 41)(15, 42, 23, 50, 26, 53)(17, 44, 27, 54, 21, 48)(55, 56, 58)(57, 62, 63)(59, 66, 67)(60, 68, 69)(61, 70, 71)(64, 75, 76)(65, 77, 72)(73, 79, 81)(74, 80, 78)(82, 83, 85)(84, 89, 90)(86, 93, 94)(87, 95, 96)(88, 97, 98)(91, 102, 103)(92, 104, 99)(100, 106, 108)(101, 107, 105)
	L = (1, 55)(2, 56)(3, 57)(4, 58)(5, 59)(6, 60)(7, 61)(8, 62)(9, 63)(10, 64)(11, 65)(12, 66)(13, 67)(14, 68)(15, 69)(16, 70)(17, 71)(18, 72)(19, 73)(20, 74)(21, 75)(22, 76)(23, 77)(24, 78)(25, 79)(26, 80)(27, 81)(28, 82)(29, 83)(30, 84)(31, 85)(32, 86)(33, 87)(34, 88)(35, 89)(36, 90)(37, 91)(38, 92)(39, 93)(40, 94)(41, 95)(42, 96)(43, 97)(44, 98)(45, 99)(46, 100)(47, 101)(48, 102)(49, 103)(50, 104)(51, 105)(52, 106)(53, 107)(54, 108)
	local type(s) :: { ( 12^3 ), ( 12^6 ) }
Outer automorphisms :: reflexible
Dual of E10.343
Graph:: simple bipartite
	v = 27 e = 54 f = 9
	degree seq :: [ 3^18, 6^9 ]

E10.339 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {3, 3, 3, 3})
Quotient :: loop^2
Aut^+ = (C3 x C3) : C3 (small group id <27, 3>)
Aut   = ((C3 x C3) : C3) : C2 (small group id <54, 5>)
|r| :: 2
Presentation :: [ R^2, Y3^3, Y2^3, Y1^3, (Y2, Y3^-1), (R * Y3)^2, R * Y1 * R * Y2, (Y3^-1, Y1^-1), Y1 * Y3 * Y2^-1 * Y1^-1 * Y2, (Y2^-1 * Y1^-1)^3, (Y2 * Y1^-1)^3 ]
Map:: polytopal non-degenerate
	R = (1, 28, 55, 82, 4, 31, 58, 85, 7, 34, 61, 88)(2, 29, 56, 83, 9, 36, 63, 90, 11, 38, 65, 92)(3, 30, 57, 84, 13, 40, 67, 94, 15, 42, 69, 96)(5, 32, 59, 86, 16, 43, 70, 97, 20, 47, 74, 101)(6, 33, 60, 87, 17, 44, 71, 98, 23, 50, 77, 104)(8, 35, 62, 89, 25, 52, 79, 106, 12, 39, 66, 93)(10, 37, 64, 91, 21, 48, 75, 102, 27, 54, 81, 108)(14, 41, 68, 95, 24, 51, 78, 105, 18, 45, 72, 99)(19, 46, 73, 100, 26, 53, 80, 107, 22, 49, 76, 103)
	L = (1, 29)(2, 32)(3, 39)(4, 36)(5, 28)(6, 48)(7, 38)(8, 51)(9, 43)(10, 53)(11, 47)(12, 41)(13, 35)(14, 30)(15, 52)(16, 31)(17, 54)(18, 42)(19, 44)(20, 34)(21, 49)(22, 33)(23, 37)(24, 40)(25, 45)(26, 50)(27, 46)(55, 84)(56, 89)(57, 87)(58, 94)(59, 99)(60, 82)(61, 96)(62, 91)(63, 106)(64, 83)(65, 93)(66, 108)(67, 98)(68, 107)(69, 104)(70, 95)(71, 85)(72, 100)(73, 86)(74, 105)(75, 90)(76, 101)(77, 88)(78, 103)(79, 102)(80, 97)(81, 92)
	local type(s) :: { ( 3, 6, 3, 6, 3, 6, 3, 6, 3, 6, 3, 6 ) }
Outer automorphisms :: reflexible
Dual of E10.336
Transitivity :: VT+
Graph::
	v = 9 e = 54 f = 27
	degree seq :: [ 12^9 ]

E10.340 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {3, 3, 3, 3})
Quotient :: loop^2
Aut^+ = (C3 x C3) : C3 (small group id <27, 3>)
Aut   = ((C3 x C3) : C3) : C2 (small group id <54, 5>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y2^-1, Y2^3, Y1^2 * Y2^-1, Y3^3, R * Y1 * R * Y2, (R * Y3)^2, (Y3 * Y1^-1)^3, Y3 * Y2 * Y3 * Y2 * Y3 * Y1^-1, Y2 * Y3^-1 * Y2 * Y3^-1 * Y1^-1 * Y3^-1, Y1 * Y3^-1 * Y1 * Y3^-1 * Y2^-1 * Y3^-1 ]
Map:: non-degenerate
	R = (1, 28, 55, 82, 4, 31, 58, 85, 5, 32, 59, 86)(2, 29, 56, 83, 6, 33, 60, 87, 7, 34, 61, 88)(3, 30, 57, 84, 8, 35, 62, 89, 9, 36, 63, 90)(10, 37, 64, 91, 21, 48, 75, 102, 22, 49, 76, 103)(11, 38, 65, 92, 16, 43, 70, 97, 23, 50, 77, 104)(12, 39, 66, 93, 24, 51, 78, 105, 19, 46, 73, 100)(13, 40, 67, 94, 25, 52, 79, 106, 14, 41, 68, 95)(15, 42, 69, 96, 20, 47, 74, 101, 26, 53, 80, 107)(17, 44, 71, 98, 27, 54, 81, 108, 18, 45, 72, 99)
	L = (1, 29)(2, 30)(3, 28)(4, 37)(5, 39)(6, 41)(7, 43)(8, 45)(9, 47)(10, 38)(11, 31)(12, 40)(13, 32)(14, 42)(15, 33)(16, 44)(17, 34)(18, 46)(19, 35)(20, 48)(21, 36)(22, 52)(23, 53)(24, 50)(25, 54)(26, 51)(27, 49)(55, 84)(56, 82)(57, 83)(58, 92)(59, 94)(60, 96)(61, 98)(62, 100)(63, 102)(64, 85)(65, 91)(66, 86)(67, 93)(68, 87)(69, 95)(70, 88)(71, 97)(72, 89)(73, 99)(74, 90)(75, 101)(76, 108)(77, 105)(78, 107)(79, 103)(80, 104)(81, 106)
	local type(s) :: { ( 3, 6, 3, 6, 3, 6, 3, 6, 3, 6, 3, 6 ) }
Outer automorphisms :: reflexible
Dual of E10.335
Transitivity :: VT+
Graph::
	v = 9 e = 54 f = 27
	degree seq :: [ 12^9 ]

E10.341 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {3, 3, 3, 3})
Quotient :: loop^2
Aut^+ = (C3 x C3) : C3 (small group id <27, 3>)
Aut   = ((C3 x C3) : C3) : C2 (small group id <54, 5>)
|r| :: 2
Presentation :: [ R^2, Y2^3, Y3^3, Y1^3, Y2 * Y1 * Y3, (R * Y3)^2, R * Y1 * R * Y2, Y2 * Y3 * Y1 * Y3^-1 * Y2^-1 * Y1^-1, Y2 * Y1^-1 * Y3^-1 * Y1 * Y2 * Y1^-1, Y2^-1 * Y1 * Y3^-1 * Y2^-1 * Y1^-1 * Y3^-1 * Y1 ]
Map:: polytopal non-degenerate
	R = (1, 28, 55, 82, 4, 31, 58, 85, 7, 34, 61, 88)(2, 29, 56, 83, 6, 33, 60, 87, 10, 37, 64, 91)(3, 30, 57, 84, 11, 38, 65, 92, 13, 40, 67, 94)(5, 32, 59, 86, 9, 36, 63, 90, 17, 44, 71, 98)(8, 35, 62, 89, 20, 47, 74, 101, 22, 49, 76, 103)(12, 39, 66, 93, 19, 46, 73, 100, 23, 50, 77, 104)(14, 41, 68, 95, 16, 43, 70, 97, 25, 52, 79, 106)(15, 42, 69, 96, 21, 48, 75, 102, 24, 51, 78, 105)(18, 45, 72, 99, 26, 53, 80, 107, 27, 54, 81, 108)
	L = (1, 29)(2, 32)(3, 34)(4, 41)(5, 28)(6, 40)(7, 39)(8, 37)(9, 49)(10, 48)(11, 47)(12, 30)(13, 45)(14, 42)(15, 31)(16, 44)(17, 53)(18, 33)(19, 51)(20, 52)(21, 35)(22, 50)(23, 36)(24, 54)(25, 38)(26, 43)(27, 46)(55, 84)(56, 89)(57, 87)(58, 86)(59, 97)(60, 82)(61, 96)(62, 90)(63, 83)(64, 99)(65, 93)(66, 103)(67, 106)(68, 101)(69, 100)(70, 85)(71, 104)(72, 105)(73, 88)(74, 102)(75, 95)(76, 92)(77, 108)(78, 91)(79, 107)(80, 94)(81, 98)
	local type(s) :: { ( 3, 6, 3, 6, 3, 6, 3, 6, 3, 6, 3, 6 ) }
Outer automorphisms :: reflexible
Dual of E10.334
Transitivity :: VT+
Graph::
	v = 9 e = 54 f = 27
	degree seq :: [ 12^9 ]

E10.342 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {3, 3, 3, 3})
Quotient :: loop^2
Aut^+ = (C3 x C3) : C3 (small group id <27, 3>)
Aut   = ((C3 x C3) : C3) : C2 (small group id <54, 5>)
|r| :: 2
Presentation :: [ R^2, Y2^3, Y3^3, Y2^-1 * Y1^-1 * Y3, Y1^3, R * Y2 * R * Y1, (R * Y3)^2, Y1^-1 * Y2 * Y1^-1 * Y2^-1 * Y3^-1 * Y2 ]
Map:: non-degenerate
	R = (1, 28, 55, 82, 4, 31, 58, 85, 7, 34, 61, 88)(2, 29, 56, 83, 8, 35, 62, 89, 10, 37, 64, 91)(3, 30, 57, 84, 12, 39, 66, 93, 5, 32, 59, 86)(6, 33, 60, 87, 18, 45, 72, 99, 13, 40, 67, 94)(9, 36, 63, 90, 23, 50, 77, 104, 15, 42, 69, 96)(11, 38, 65, 92, 22, 49, 76, 103, 24, 51, 78, 105)(14, 41, 68, 95, 26, 53, 80, 107, 25, 52, 79, 106)(16, 43, 70, 97, 27, 54, 81, 108, 21, 48, 75, 102)(17, 44, 71, 98, 19, 46, 73, 100, 20, 47, 74, 101)
	L = (1, 29)(2, 32)(3, 38)(4, 41)(5, 28)(6, 44)(7, 33)(8, 47)(9, 49)(10, 36)(11, 40)(12, 43)(13, 30)(14, 42)(15, 31)(16, 53)(17, 34)(18, 50)(19, 51)(20, 48)(21, 35)(22, 37)(23, 54)(24, 52)(25, 46)(26, 39)(27, 45)(55, 84)(56, 85)(57, 87)(58, 90)(59, 89)(60, 82)(61, 100)(62, 97)(63, 83)(64, 105)(65, 93)(66, 106)(67, 103)(68, 88)(69, 107)(70, 86)(71, 99)(72, 102)(73, 95)(74, 91)(75, 98)(76, 104)(77, 94)(78, 101)(79, 92)(80, 108)(81, 96)
	local type(s) :: { ( 3, 6, 3, 6, 3, 6, 3, 6, 3, 6, 3, 6 ) }
Outer automorphisms :: reflexible
Dual of E10.337
Transitivity :: VT+
Graph::
	v = 9 e = 54 f = 27
	degree seq :: [ 12^9 ]

E10.343 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {3, 3, 3, 3})
Quotient :: loop^2
Aut^+ = (C3 x C3) : C3 (small group id <27, 3>)
Aut   = ((C3 x C3) : C3) : C2 (small group id <54, 8>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y1^-1, Y3^3, Y1^3, Y2^3, (R * Y3)^2, R * Y1 * R * Y2, (Y3 * Y1^-1)^3, (Y1 * Y3^-1)^3, (Y3^-1 * Y1^-1)^3, (Y1^-1 * Y3^-1 * Y2^-1)^3 ]
Map:: polytopal non-degenerate
	R = (1, 28, 55, 82, 3, 30, 57, 84, 5, 32, 59, 86)(2, 29, 56, 83, 6, 33, 60, 87, 7, 34, 61, 88)(4, 31, 58, 85, 10, 37, 64, 91, 11, 38, 65, 92)(8, 35, 62, 89, 18, 45, 72, 99, 19, 46, 73, 100)(9, 36, 63, 90, 16, 43, 70, 97, 20, 47, 74, 101)(12, 39, 66, 93, 24, 51, 78, 105, 22, 49, 76, 103)(13, 40, 67, 94, 25, 52, 79, 106, 14, 41, 68, 95)(15, 42, 69, 96, 23, 50, 77, 104, 26, 53, 80, 107)(17, 44, 71, 98, 27, 54, 81, 108, 21, 48, 75, 102)
	L = (1, 29)(2, 31)(3, 35)(4, 28)(5, 39)(6, 41)(7, 43)(8, 36)(9, 30)(10, 48)(11, 50)(12, 40)(13, 32)(14, 42)(15, 33)(16, 44)(17, 34)(18, 38)(19, 52)(20, 53)(21, 49)(22, 37)(23, 45)(24, 47)(25, 54)(26, 51)(27, 46)(55, 83)(56, 85)(57, 89)(58, 82)(59, 93)(60, 95)(61, 97)(62, 90)(63, 84)(64, 102)(65, 104)(66, 94)(67, 86)(68, 96)(69, 87)(70, 98)(71, 88)(72, 92)(73, 106)(74, 107)(75, 103)(76, 91)(77, 99)(78, 101)(79, 108)(80, 105)(81, 100)
	local type(s) :: { ( 3, 6, 3, 6, 3, 6, 3, 6, 3, 6, 3, 6 ) }
Outer automorphisms :: reflexible
Dual of E10.338
Transitivity :: VT+
Graph::
	v = 9 e = 54 f = 27
	degree seq :: [ 12^9 ]

E10.344 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 3, 3, 3})
Quotient :: dipole
Aut^+ = (C3 x C3) : C3 (small group id <27, 3>)
Aut   = ((C3 x C3) : C3) : C2 (small group id <54, 8>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y2, Y1^3, Y2^3, (R * Y3)^2, (R * Y1)^2, Y3 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1, (Y3 * Y2^-1)^3, (Y3^-1 * Y1^-1)^3 ]
Map:: non-degenerate
	R = (1, 28, 2, 29, 5, 32)(3, 30, 8, 35, 9, 36)(4, 31, 10, 37, 11, 38)(6, 33, 14, 41, 15, 42)(7, 34, 16, 43, 17, 44)(12, 39, 24, 51, 22, 49)(13, 40, 25, 52, 18, 45)(19, 46, 23, 50, 27, 54)(20, 47, 26, 53, 21, 48)(55, 82, 57, 84, 58, 85)(56, 83, 60, 87, 61, 88)(59, 86, 66, 93, 67, 94)(62, 89, 72, 99, 73, 100)(63, 90, 70, 97, 74, 101)(64, 91, 75, 102, 76, 103)(65, 92, 77, 104, 68, 95)(69, 96, 79, 106, 80, 107)(71, 98, 81, 108, 78, 105)
	L = (1, 58)(2, 61)(3, 55)(4, 57)(5, 67)(6, 56)(7, 60)(8, 73)(9, 74)(10, 76)(11, 68)(12, 59)(13, 66)(14, 77)(15, 80)(16, 63)(17, 78)(18, 62)(19, 72)(20, 70)(21, 64)(22, 75)(23, 65)(24, 81)(25, 69)(26, 79)(27, 71)(28, 82)(29, 83)(30, 84)(31, 85)(32, 86)(33, 87)(34, 88)(35, 89)(36, 90)(37, 91)(38, 92)(39, 93)(40, 94)(41, 95)(42, 96)(43, 97)(44, 98)(45, 99)(46, 100)(47, 101)(48, 102)(49, 103)(50, 104)(51, 105)(52, 106)(53, 107)(54, 108)
	local type(s) :: { ( 6^6 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 18 e = 54 f = 18
	degree seq :: [ 6^18 ]

E10.345 :: Family: { 2*ex } :: Oriented family(ies): { E3c }
Signature :: (0; {9, 9, 9})
Quotient :: loop
Aut^+ = C9 : C3 (small group id <27, 4>)
Aut   = (C9 : C3) : C2 (small group id <54, 6>)
|r| :: 2
Presentation :: [ F^2, F * T1 * F * T2, T1^2 * T2^-1 * T1 * T2, T1 * T2 * T1^-1 * T2^2, T1^9, T2^9 ]
Map:: non-degenerate
	R = (1, 3, 10, 18, 25, 27, 26, 17, 5)(2, 7, 20, 22, 9, 15, 13, 21, 8)(4, 12, 16, 6, 19, 23, 24, 11, 14)(28, 29, 33, 45, 49, 51, 53, 40, 31)(30, 36, 39, 52, 48, 46, 44, 34, 38)(32, 42, 50, 37, 35, 41, 54, 47, 43)
	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) :: { ( 18^9 ) }
Outer automorphisms :: reflexible
Dual of E10.346
Transitivity :: ET+ VT AT
Graph:: bipartite
	v = 6 e = 27 f = 3
	degree seq :: [ 9^6 ]

E10.346 :: Family: { 2ex } :: Oriented family(ies): { E3*c }
Signature :: (0; {9, 9, 9})
Quotient :: edge
Aut^+ = C9 : C3 (small group id <27, 4>)
Aut   = (C9 : C3) : C2 (small group id <54, 6>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, F * T1 * T2 * F * T1^-1, T1^2 * T2 * T1 * T2^-1, T1 * T2^2 * T1^-1 * T2, T1^9, T2^9 ]
Map:: non-degenerate
	R = (1, 28, 3, 30, 10, 37, 18, 45, 20, 47, 21, 48, 25, 52, 17, 44, 5, 32)(2, 29, 7, 34, 15, 42, 26, 53, 24, 51, 23, 50, 13, 40, 9, 36, 8, 35)(4, 31, 12, 39, 19, 46, 6, 33, 11, 38, 16, 43, 27, 54, 22, 49, 14, 41)
	L = (1, 29)(2, 33)(3, 36)(4, 28)(5, 42)(6, 45)(7, 39)(8, 43)(9, 49)(10, 50)(11, 30)(12, 44)(13, 31)(14, 37)(15, 41)(16, 32)(17, 51)(18, 53)(19, 48)(20, 34)(21, 35)(22, 47)(23, 46)(24, 38)(25, 40)(26, 54)(27, 52)
	local type(s) :: { ( 9^18 ) }
Outer automorphisms :: reflexible
Dual of E10.345
Transitivity :: ET+ VT+
Graph::
	v = 3 e = 27 f = 6
	degree seq :: [ 18^3 ]

E10.347 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {9, 9, 9})
Quotient :: edge^2
Aut^+ = C9 : C3 (small group id <27, 4>)
Aut   = (C9 : C3) : C2 (small group id <54, 6>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y3^-1 * Y2^-1, R * Y1 * R * Y2, (R * Y3)^2, Y2^2 * Y3^-1 * Y1^-1, Y3 * Y2 * Y1^-2, Y3^2 * Y1^-1 * Y2^-1, Y2 * Y3^-3 * Y1 * Y3, Y1 * Y2^-3 * Y3 * Y2, Y3 * Y1^-1 * Y3 * Y2^-1 * Y1^3 ]
Map:: polytopal non-degenerate
	R = (1, 28, 4, 31, 12, 39, 20, 47, 22, 49, 23, 50, 27, 54, 18, 45, 7, 34)(2, 29, 9, 36, 13, 40, 24, 51, 26, 53, 16, 43, 17, 44, 6, 33, 11, 38)(3, 30, 5, 32, 10, 37, 21, 48, 8, 35, 15, 42, 19, 46, 25, 52, 14, 41)(55, 56, 62, 74, 78, 79, 81, 71, 59)(57, 66, 70, 75, 77, 65, 73, 61, 67)(58, 60, 68, 76, 63, 64, 72, 80, 69)(82, 84, 90, 101, 102, 107, 108, 100, 87)(83, 88, 96, 105, 93, 95, 98, 104, 91)(85, 89, 92, 103, 106, 94, 99, 86, 97)
	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) :: { ( 4^9 ), ( 4^18 ) }
Outer automorphisms :: reflexible
Dual of E10.350
Graph:: bipartite
	v = 9 e = 54 f = 27
	degree seq :: [ 9^6, 18^3 ]

E10.348 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {9, 9, 9})
Quotient :: edge^2
Aut^+ = C9 : C3 (small group id <27, 4>)
Aut   = (C9 : C3) : C2 (small group id <54, 6>)
|r| :: 2
Presentation :: [ Y3, R^2, R * Y1 * R * Y2, (R * Y3)^2, Y1^2 * Y2^-1 * Y1 * Y2, Y1 * Y2^-1 * Y1^-1 * Y2^-2, Y2^9, Y1^9, (Y1^-1 * Y3^-1 * Y2^-1)^9 ]
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, 56, 60, 72, 76, 78, 80, 67, 58)(57, 63, 66, 79, 75, 73, 71, 61, 65)(59, 69, 77, 64, 62, 68, 81, 74, 70)(82, 84, 91, 99, 106, 108, 107, 98, 86)(83, 88, 101, 103, 90, 96, 94, 102, 89)(85, 93, 97, 87, 100, 104, 105, 92, 95)
	L = (1, 55)(2, 56)(3, 57)(4, 58)(5, 59)(6, 60)(7, 61)(8, 62)(9, 63)(10, 64)(11, 65)(12, 66)(13, 67)(14, 68)(15, 69)(16, 70)(17, 71)(18, 72)(19, 73)(20, 74)(21, 75)(22, 76)(23, 77)(24, 78)(25, 79)(26, 80)(27, 81)(28, 82)(29, 83)(30, 84)(31, 85)(32, 86)(33, 87)(34, 88)(35, 89)(36, 90)(37, 91)(38, 92)(39, 93)(40, 94)(41, 95)(42, 96)(43, 97)(44, 98)(45, 99)(46, 100)(47, 101)(48, 102)(49, 103)(50, 104)(51, 105)(52, 106)(53, 107)(54, 108)
	local type(s) :: { ( 36, 36 ), ( 36^9 ) }
Outer automorphisms :: reflexible
Dual of E10.349
Graph:: simple bipartite
	v = 33 e = 54 f = 3
	degree seq :: [ 2^27, 9^6 ]

E10.349 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {9, 9, 9})
Quotient :: loop^2
Aut^+ = C9 : C3 (small group id <27, 4>)
Aut   = (C9 : C3) : C2 (small group id <54, 6>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y3^-1 * Y2^-1, R * Y1 * R * Y2, (R * Y3)^2, Y2^2 * Y3^-1 * Y1^-1, Y3 * Y2 * Y1^-2, Y3^2 * Y1^-1 * Y2^-1, Y2 * Y3^-3 * Y1 * Y3, Y1 * Y2^-3 * Y3 * Y2, Y3 * Y1^-1 * Y3 * Y2^-1 * Y1^3 ]
Map::
	R = (1, 28, 55, 82, 4, 31, 58, 85, 12, 39, 66, 93, 20, 47, 74, 101, 22, 49, 76, 103, 23, 50, 77, 104, 27, 54, 81, 108, 18, 45, 72, 99, 7, 34, 61, 88)(2, 29, 56, 83, 9, 36, 63, 90, 13, 40, 67, 94, 24, 51, 78, 105, 26, 53, 80, 107, 16, 43, 70, 97, 17, 44, 71, 98, 6, 33, 60, 87, 11, 38, 65, 92)(3, 30, 57, 84, 5, 32, 59, 86, 10, 37, 64, 91, 21, 48, 75, 102, 8, 35, 62, 89, 15, 42, 69, 96, 19, 46, 73, 100, 25, 52, 79, 106, 14, 41, 68, 95)
	L = (1, 29)(2, 35)(3, 39)(4, 33)(5, 28)(6, 41)(7, 40)(8, 47)(9, 37)(10, 45)(11, 46)(12, 43)(13, 30)(14, 49)(15, 31)(16, 48)(17, 32)(18, 53)(19, 34)(20, 51)(21, 50)(22, 36)(23, 38)(24, 52)(25, 54)(26, 42)(27, 44)(55, 84)(56, 88)(57, 90)(58, 89)(59, 97)(60, 82)(61, 96)(62, 92)(63, 101)(64, 83)(65, 103)(66, 95)(67, 99)(68, 98)(69, 105)(70, 85)(71, 104)(72, 86)(73, 87)(74, 102)(75, 107)(76, 106)(77, 91)(78, 93)(79, 94)(80, 108)(81, 100)
	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 E10.348
Transitivity :: VT+
Graph::
	v = 3 e = 54 f = 33
	degree seq :: [ 36^3 ]

E10.350 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {9, 9, 9})
Quotient :: loop^2
Aut^+ = C9 : C3 (small group id <27, 4>)
Aut   = (C9 : C3) : C2 (small group id <54, 6>)
|r| :: 2
Presentation :: [ Y3, R^2, R * Y1 * R * Y2, (R * Y3)^2, Y1^2 * Y2^-1 * Y1 * Y2, Y1 * Y2^-1 * Y1^-1 * Y2^-2, Y2^9, Y1^9, (Y1^-1 * Y3^-1 * Y2^-1)^9 ]
Map:: polytopal non-degenerate
	R = (1, 28, 55, 82)(2, 29, 56, 83)(3, 30, 57, 84)(4, 31, 58, 85)(5, 32, 59, 86)(6, 33, 60, 87)(7, 34, 61, 88)(8, 35, 62, 89)(9, 36, 63, 90)(10, 37, 64, 91)(11, 38, 65, 92)(12, 39, 66, 93)(13, 40, 67, 94)(14, 41, 68, 95)(15, 42, 69, 96)(16, 43, 70, 97)(17, 44, 71, 98)(18, 45, 72, 99)(19, 46, 73, 100)(20, 47, 74, 101)(21, 48, 75, 102)(22, 49, 76, 103)(23, 50, 77, 104)(24, 51, 78, 105)(25, 52, 79, 106)(26, 53, 80, 107)(27, 54, 81, 108)
	L = (1, 29)(2, 33)(3, 36)(4, 28)(5, 42)(6, 45)(7, 38)(8, 41)(9, 39)(10, 35)(11, 30)(12, 52)(13, 31)(14, 54)(15, 50)(16, 32)(17, 34)(18, 49)(19, 44)(20, 43)(21, 46)(22, 51)(23, 37)(24, 53)(25, 48)(26, 40)(27, 47)(55, 84)(56, 88)(57, 91)(58, 93)(59, 82)(60, 100)(61, 101)(62, 83)(63, 96)(64, 99)(65, 95)(66, 97)(67, 102)(68, 85)(69, 94)(70, 87)(71, 86)(72, 106)(73, 104)(74, 103)(75, 89)(76, 90)(77, 105)(78, 92)(79, 108)(80, 98)(81, 107)
	local type(s) :: { ( 9, 18, 9, 18 ) }
Outer automorphisms :: reflexible
Dual of E10.347
Transitivity :: VT+
Graph:: simple
	v = 27 e = 54 f = 9
	degree seq :: [ 4^27 ]

E10.351 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {4, 14, 28})
Quotient :: edge
Aut^+ = C28 (small group id <28, 2>)
Aut   = D56 (small group id <56, 5>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, T1^4, (T2^-1, T1^-1), T2^-7 * T1^2 ]
Map:: non-degenerate
	R = (1, 3, 9, 17, 25, 22, 14, 6, 13, 21, 28, 20, 12, 5)(2, 7, 15, 23, 27, 19, 11, 4, 10, 18, 26, 24, 16, 8)(29, 30, 34, 32)(31, 35, 41, 38)(33, 36, 42, 39)(37, 43, 49, 46)(40, 44, 50, 47)(45, 51, 56, 54)(48, 52, 53, 55)
	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) :: { ( 56^4 ), ( 56^14 ) }
Outer automorphisms :: reflexible
Dual of E10.355
Transitivity :: ET+
Graph:: bipartite
	v = 9 e = 28 f = 1
	degree seq :: [ 4^7, 14^2 ]

E10.352 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {4, 14, 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), T2^-6 * T1, T1^3 * T2^-1 * T1 * T2^-1 * T1, (T1^-1 * T2^-1)^4 ]
Map:: non-degenerate
	R = (1, 3, 9, 19, 18, 8, 2, 7, 17, 28, 22, 16, 6, 15, 27, 23, 11, 21, 14, 26, 24, 12, 4, 10, 20, 25, 13, 5)(29, 30, 34, 42, 48, 37, 45, 55, 52, 41, 46, 50, 39, 32)(31, 35, 43, 54, 53, 47, 56, 51, 40, 33, 36, 44, 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) :: { ( 8^14 ), ( 8^28 ) }
Outer automorphisms :: reflexible
Dual of E10.356
Transitivity :: ET+
Graph:: bipartite
	v = 3 e = 28 f = 7
	degree seq :: [ 14^2, 28 ]

E10.353 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {4, 14, 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, T2^4, (T2^-1, T1^-1), T2^-1 * T1^-7, (T1^-1 * T2^-1)^14 ]
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, 28, 23)(19, 26, 27, 21)(29, 30, 34, 41, 49, 48, 40, 33, 36, 43, 51, 55, 53, 45, 37, 44, 52, 56, 54, 46, 38, 31, 35, 42, 50, 47, 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) :: { ( 28^4 ), ( 28^28 ) }
Outer automorphisms :: reflexible
Dual of E10.354
Transitivity :: ET+
Graph:: bipartite
	v = 8 e = 28 f = 2
	degree seq :: [ 4^7, 28 ]

E10.354 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {4, 14, 28})
Quotient :: loop
Aut^+ = C28 (small group id <28, 2>)
Aut   = D56 (small group id <56, 5>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, T1^4, (T2^-1, T1^-1), T2^-7 * T1^2 ]
Map:: non-degenerate
	R = (1, 29, 3, 31, 9, 37, 17, 45, 25, 53, 22, 50, 14, 42, 6, 34, 13, 41, 21, 49, 28, 56, 20, 48, 12, 40, 5, 33)(2, 30, 7, 35, 15, 43, 23, 51, 27, 55, 19, 47, 11, 39, 4, 32, 10, 38, 18, 46, 26, 54, 24, 52, 16, 44, 8, 36)
	L = (1, 30)(2, 34)(3, 35)(4, 29)(5, 36)(6, 32)(7, 41)(8, 42)(9, 43)(10, 31)(11, 33)(12, 44)(13, 38)(14, 39)(15, 49)(16, 50)(17, 51)(18, 37)(19, 40)(20, 52)(21, 46)(22, 47)(23, 56)(24, 53)(25, 55)(26, 45)(27, 48)(28, 54)
	local type(s) :: { ( 4, 28, 4, 28, 4, 28, 4, 28, 4, 28, 4, 28, 4, 28, 4, 28, 4, 28, 4, 28, 4, 28, 4, 28, 4, 28, 4, 28 ) }
Outer automorphisms :: reflexible
Dual of E10.353
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 2 e = 28 f = 8
	degree seq :: [ 28^2 ]

E10.355 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {4, 14, 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), T2^-6 * T1, T1^3 * T2^-1 * T1 * T2^-1 * T1, (T1^-1 * T2^-1)^4 ]
Map:: non-degenerate
	R = (1, 29, 3, 31, 9, 37, 19, 47, 18, 46, 8, 36, 2, 30, 7, 35, 17, 45, 28, 56, 22, 50, 16, 44, 6, 34, 15, 43, 27, 55, 23, 51, 11, 39, 21, 49, 14, 42, 26, 54, 24, 52, 12, 40, 4, 32, 10, 38, 20, 48, 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, 48)(15, 54)(16, 49)(17, 55)(18, 50)(19, 56)(20, 37)(21, 38)(22, 39)(23, 40)(24, 41)(25, 47)(26, 53)(27, 52)(28, 51)
	local type(s) :: { ( 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14 ) }
Outer automorphisms :: reflexible
Dual of E10.351
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 28 f = 9
	degree seq :: [ 56 ]

E10.356 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {4, 14, 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, T2^4, (T2^-1, T1^-1), T2^-1 * T1^-7, (T1^-1 * T2^-1)^14 ]
Map:: non-degenerate
	R = (1, 29, 3, 31, 9, 37, 5, 33)(2, 30, 7, 35, 16, 44, 8, 36)(4, 32, 10, 38, 17, 45, 12, 40)(6, 34, 14, 42, 24, 52, 15, 43)(11, 39, 18, 46, 25, 53, 20, 48)(13, 41, 22, 50, 28, 56, 23, 51)(19, 47, 26, 54, 27, 55, 21, 49)
	L = (1, 30)(2, 34)(3, 35)(4, 29)(5, 36)(6, 41)(7, 42)(8, 43)(9, 44)(10, 31)(11, 32)(12, 33)(13, 49)(14, 50)(15, 51)(16, 52)(17, 37)(18, 38)(19, 39)(20, 40)(21, 48)(22, 47)(23, 55)(24, 56)(25, 45)(26, 46)(27, 53)(28, 54)
	local type(s) :: { ( 14, 28, 14, 28, 14, 28, 14, 28 ) }
Outer automorphisms :: reflexible
Dual of E10.352
Transitivity :: ET+ VT+ AT
Graph::
	v = 7 e = 28 f = 3
	degree seq :: [ 8^7 ]

E10.357 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 14, 28})
Quotient :: dipole
Aut^+ = C28 (small group id <28, 2>)
Aut   = D56 (small group id <56, 5>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y3^-1, Y1^4, (R * Y2)^2, (R * Y3)^2, (Y3^-1, Y2^-1), Y1^4, (Y2, Y1^-1), (R * Y1)^2, Y2^-7 * 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 ]
Map::
	R = (1, 29, 2, 30, 6, 34, 4, 32)(3, 31, 7, 35, 13, 41, 10, 38)(5, 33, 8, 36, 14, 42, 11, 39)(9, 37, 15, 43, 21, 49, 18, 46)(12, 40, 16, 44, 22, 50, 19, 47)(17, 45, 23, 51, 28, 56, 26, 54)(20, 48, 24, 52, 25, 53, 27, 55)(57, 85, 59, 87, 65, 93, 73, 101, 81, 109, 78, 106, 70, 98, 62, 90, 69, 97, 77, 105, 84, 112, 76, 104, 68, 96, 61, 89)(58, 86, 63, 91, 71, 99, 79, 107, 83, 111, 75, 103, 67, 95, 60, 88, 66, 94, 74, 102, 82, 110, 80, 108, 72, 100, 64, 92)
	L = (1, 60)(2, 57)(3, 66)(4, 62)(5, 67)(6, 58)(7, 59)(8, 61)(9, 74)(10, 69)(11, 70)(12, 75)(13, 63)(14, 64)(15, 65)(16, 68)(17, 82)(18, 77)(19, 78)(20, 83)(21, 71)(22, 72)(23, 73)(24, 76)(25, 80)(26, 84)(27, 81)(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) :: { ( 2, 56, 2, 56, 2, 56, 2, 56 ), ( 2, 56, 2, 56, 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 E10.360
Graph:: bipartite
	v = 9 e = 56 f = 29
	degree seq :: [ 8^7, 28^2 ]

E10.358 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 14, 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, (R * Y1)^2, (R * Y3)^2, (Y1, Y2^-1), Y1^3 * Y2^-1 * Y1 * Y2^-1 * Y1, Y2^-6 * Y1, (Y3^-1 * Y1^-1)^4 ]
Map::
	R = (1, 29, 2, 30, 6, 34, 14, 42, 20, 48, 9, 37, 17, 45, 27, 55, 24, 52, 13, 41, 18, 46, 22, 50, 11, 39, 4, 32)(3, 31, 7, 35, 15, 43, 26, 54, 25, 53, 19, 47, 28, 56, 23, 51, 12, 40, 5, 33, 8, 36, 16, 44, 21, 49, 10, 38)(57, 85, 59, 87, 65, 93, 75, 103, 74, 102, 64, 92, 58, 86, 63, 91, 73, 101, 84, 112, 78, 106, 72, 100, 62, 90, 71, 99, 83, 111, 79, 107, 67, 95, 77, 105, 70, 98, 82, 110, 80, 108, 68, 96, 60, 88, 66, 94, 76, 104, 81, 109, 69, 97, 61, 89)
	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, 82)(15, 83)(16, 62)(17, 84)(18, 64)(19, 74)(20, 81)(21, 70)(22, 72)(23, 67)(24, 68)(25, 69)(26, 80)(27, 79)(28, 78)(29, 85)(30, 86)(31, 87)(32, 88)(33, 89)(34, 90)(35, 91)(36, 92)(37, 93)(38, 94)(39, 95)(40, 96)(41, 97)(42, 98)(43, 99)(44, 100)(45, 101)(46, 102)(47, 103)(48, 104)(49, 105)(50, 106)(51, 107)(52, 108)(53, 109)(54, 110)(55, 111)(56, 112)
	local type(s) :: { ( 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8 ), ( 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 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 E10.359
Graph:: bipartite
	v = 3 e = 56 f = 35
	degree seq :: [ 28^2, 56 ]

E10.359 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 14, 28})
Quotient :: dipole
Aut^+ = C28 (small group id <28, 2>)
Aut   = D56 (small group id <56, 5>)
|r| :: 2
Presentation :: [ Y1, R^2, (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, Y2^4, (Y2, Y3^-1), Y2^-1 * Y3^7, Y2^-1 * Y3^-3 * Y2^-2 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1, (Y3^-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, 60, 88)(59, 87, 63, 91, 69, 97, 66, 94)(61, 89, 64, 92, 70, 98, 67, 95)(65, 93, 71, 99, 77, 105, 74, 102)(68, 96, 72, 100, 78, 106, 75, 103)(73, 101, 79, 107, 83, 111, 81, 109)(76, 104, 80, 108, 84, 112, 82, 110)
	L = (1, 59)(2, 63)(3, 65)(4, 66)(5, 57)(6, 69)(7, 71)(8, 58)(9, 73)(10, 74)(11, 60)(12, 61)(13, 77)(14, 62)(15, 79)(16, 64)(17, 80)(18, 81)(19, 67)(20, 68)(21, 83)(22, 70)(23, 84)(24, 72)(25, 76)(26, 75)(27, 82)(28, 78)(29, 85)(30, 86)(31, 87)(32, 88)(33, 89)(34, 90)(35, 91)(36, 92)(37, 93)(38, 94)(39, 95)(40, 96)(41, 97)(42, 98)(43, 99)(44, 100)(45, 101)(46, 102)(47, 103)(48, 104)(49, 105)(50, 106)(51, 107)(52, 108)(53, 109)(54, 110)(55, 111)(56, 112)
	local type(s) :: { ( 28, 56 ), ( 28, 56, 28, 56, 28, 56, 28, 56 ) }
Outer automorphisms :: reflexible
Dual of E10.358
Graph:: simple bipartite
	v = 35 e = 56 f = 3
	degree seq :: [ 2^28, 8^7 ]

E10.360 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 14, 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, Y3^4, (Y3^-1, Y1^-1), (R * Y2 * Y3^-1)^2, Y3^-1 * Y1^-7, (Y3 * Y2^-1)^4, (Y1^-1 * Y3^-1)^14 ]
Map::
	R = (1, 29, 2, 30, 6, 34, 13, 41, 21, 49, 20, 48, 12, 40, 5, 33, 8, 36, 15, 43, 23, 51, 27, 55, 25, 53, 17, 45, 9, 37, 16, 44, 24, 52, 28, 56, 26, 54, 18, 46, 10, 38, 3, 31, 7, 35, 14, 42, 22, 50, 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, 70)(7, 72)(8, 58)(9, 61)(10, 73)(11, 74)(12, 60)(13, 78)(14, 80)(15, 62)(16, 64)(17, 68)(18, 81)(19, 82)(20, 67)(21, 75)(22, 84)(23, 69)(24, 71)(25, 76)(26, 83)(27, 77)(28, 79)(29, 85)(30, 86)(31, 87)(32, 88)(33, 89)(34, 90)(35, 91)(36, 92)(37, 93)(38, 94)(39, 95)(40, 96)(41, 97)(42, 98)(43, 99)(44, 100)(45, 101)(46, 102)(47, 103)(48, 104)(49, 105)(50, 106)(51, 107)(52, 108)(53, 109)(54, 110)(55, 111)(56, 112)
	local type(s) :: { ( 8, 28 ), ( 8, 28, 8, 28, 8, 28, 8, 28, 8, 28, 8, 28, 8, 28, 8, 28, 8, 28, 8, 28, 8, 28, 8, 28, 8, 28, 8, 28, 8, 28, 8, 28, 8, 28, 8, 28, 8, 28, 8, 28, 8, 28, 8, 28, 8, 28, 8, 28, 8, 28, 8, 28, 8, 28, 8, 28 ) }
Outer automorphisms :: reflexible
Dual of E10.357
Graph:: bipartite
	v = 29 e = 56 f = 9
	degree seq :: [ 2^28, 56 ]

E10.361 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 14, 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, (R * Y2)^2, (R * Y3)^2, Y3^4, (R * Y1)^2, (Y3^-1, Y2^-1), Y1^4, (Y2, Y1^-1), Y3 * Y2^-7, Y2 * Y3^2 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3^2 * Y2^2 ]
Map::
	R = (1, 29, 2, 30, 6, 34, 4, 32)(3, 31, 7, 35, 13, 41, 10, 38)(5, 33, 8, 36, 14, 42, 11, 39)(9, 37, 15, 43, 21, 49, 18, 46)(12, 40, 16, 44, 22, 50, 19, 47)(17, 45, 23, 51, 27, 55, 26, 54)(20, 48, 24, 52, 28, 56, 25, 53)(57, 85, 59, 87, 65, 93, 73, 101, 81, 109, 75, 103, 67, 95, 60, 88, 66, 94, 74, 102, 82, 110, 84, 112, 78, 106, 70, 98, 62, 90, 69, 97, 77, 105, 83, 111, 80, 108, 72, 100, 64, 92, 58, 86, 63, 91, 71, 99, 79, 107, 76, 104, 68, 96, 61, 89)
	L = (1, 60)(2, 57)(3, 66)(4, 62)(5, 67)(6, 58)(7, 59)(8, 61)(9, 74)(10, 69)(11, 70)(12, 75)(13, 63)(14, 64)(15, 65)(16, 68)(17, 82)(18, 77)(19, 78)(20, 81)(21, 71)(22, 72)(23, 73)(24, 76)(25, 84)(26, 83)(27, 79)(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) :: { ( 2, 28, 2, 28, 2, 28, 2, 28 ), ( 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 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 E10.362
Graph:: bipartite
	v = 8 e = 56 f = 30
	degree seq :: [ 8^7, 56 ]

E10.362 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 14, 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), (R * Y2 * Y3^-1)^2, Y3^-6 * Y1, Y1^3 * Y3^-1 * Y1 * Y3^-1 * Y1, (Y1^-1 * Y3^-1)^4, (Y3 * Y2^-1)^28 ]
Map::
	R = (1, 29, 2, 30, 6, 34, 14, 42, 20, 48, 9, 37, 17, 45, 27, 55, 24, 52, 13, 41, 18, 46, 22, 50, 11, 39, 4, 32)(3, 31, 7, 35, 15, 43, 26, 54, 25, 53, 19, 47, 28, 56, 23, 51, 12, 40, 5, 33, 8, 36, 16, 44, 21, 49, 10, 38)(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, 82)(15, 83)(16, 62)(17, 84)(18, 64)(19, 74)(20, 81)(21, 70)(22, 72)(23, 67)(24, 68)(25, 69)(26, 80)(27, 79)(28, 78)(29, 85)(30, 86)(31, 87)(32, 88)(33, 89)(34, 90)(35, 91)(36, 92)(37, 93)(38, 94)(39, 95)(40, 96)(41, 97)(42, 98)(43, 99)(44, 100)(45, 101)(46, 102)(47, 103)(48, 104)(49, 105)(50, 106)(51, 107)(52, 108)(53, 109)(54, 110)(55, 111)(56, 112)
	local type(s) :: { ( 8, 56 ), ( 8, 56, 8, 56, 8, 56, 8, 56, 8, 56, 8, 56, 8, 56, 8, 56, 8, 56, 8, 56, 8, 56, 8, 56, 8, 56, 8, 56 ) }
Outer automorphisms :: reflexible
Dual of E10.361
Graph:: simple bipartite
	v = 30 e = 56 f = 8
	degree seq :: [ 2^28, 28^2 ]

E10.363 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 15})
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 * Y3)^2, (R * Y1)^2, (Y3, Y2), (Y3^-1 * Y1)^2, (R * Y2)^2, Y2^-1 * Y1 * Y2 * Y1, Y3^5 ]
Map:: non-degenerate
	R = (1, 31, 2, 32)(3, 33, 7, 37)(4, 34, 10, 40)(5, 35, 9, 39)(6, 36, 8, 38)(11, 41, 18, 48)(12, 42, 17, 47)(13, 43, 22, 52)(14, 44, 21, 51)(15, 45, 20, 50)(16, 46, 19, 49)(23, 53, 28, 58)(24, 54, 27, 57)(25, 55, 30, 60)(26, 56, 29, 59)(61, 91, 63, 93, 65, 95)(62, 92, 67, 97, 69, 99)(64, 94, 71, 101, 74, 104)(66, 96, 72, 102, 75, 105)(68, 98, 77, 107, 80, 110)(70, 100, 78, 108, 81, 111)(73, 103, 83, 113, 85, 115)(76, 106, 84, 114, 86, 116)(79, 109, 87, 117, 89, 119)(82, 112, 88, 118, 90, 120)
	L = (1, 64)(2, 68)(3, 71)(4, 73)(5, 74)(6, 61)(7, 77)(8, 79)(9, 80)(10, 62)(11, 83)(12, 63)(13, 76)(14, 85)(15, 65)(16, 66)(17, 87)(18, 67)(19, 82)(20, 89)(21, 69)(22, 70)(23, 84)(24, 72)(25, 86)(26, 75)(27, 88)(28, 78)(29, 90)(30, 81)(31, 91)(32, 92)(33, 93)(34, 94)(35, 95)(36, 96)(37, 97)(38, 98)(39, 99)(40, 100)(41, 101)(42, 102)(43, 103)(44, 104)(45, 105)(46, 106)(47, 107)(48, 108)(49, 109)(50, 110)(51, 111)(52, 112)(53, 113)(54, 114)(55, 115)(56, 116)(57, 117)(58, 118)(59, 119)(60, 120)
	local type(s) :: { ( 4, 30, 4, 30 ), ( 4, 30, 4, 30, 4, 30 ) }
Outer automorphisms :: reflexible
Dual of E10.364
Graph:: simple bipartite
	v = 25 e = 60 f = 17
	degree seq :: [ 4^15, 6^10 ]

E10.364 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 15})
Quotient :: dipole
Aut^+ = C3 x D10 (small group id <30, 2>)
Aut   = S3 x D10 (small group id <60, 8>)
|r| :: 2
Presentation :: [ Y2^2, R^2, (Y3, Y1^-1), (Y3 * Y2)^2, (R * Y3)^2, (R * Y1)^2, Y3^-5, Y3^5, Y3^-2 * Y1^3, Y2 * Y1 * Y3 * Y2 * Y3^-1 * Y1^-1, (R * Y2 * Y3^-1)^2, Y3^-1 * Y2 * Y1^-1 * Y2 * Y1^-2, Y1 * Y3^-1 * Y2 * R * Y1 * Y2 * R, Y3^10 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 7, 37, 15, 45, 27, 57, 19, 49, 6, 36, 10, 40, 16, 46, 4, 34, 9, 39, 22, 52, 20, 50, 18, 48, 5, 35)(3, 33, 11, 41, 28, 58, 25, 55, 8, 38, 23, 53, 14, 44, 29, 59, 21, 51, 12, 42, 26, 56, 17, 47, 30, 60, 24, 54, 13, 43)(61, 91, 63, 93)(62, 92, 68, 98)(64, 94, 74, 104)(65, 95, 77, 107)(66, 96, 72, 102)(67, 97, 81, 111)(69, 99, 86, 116)(70, 100, 84, 114)(71, 101, 87, 117)(73, 103, 82, 112)(75, 105, 90, 120)(76, 106, 88, 118)(78, 108, 89, 119)(79, 109, 83, 113)(80, 110, 85, 115)
	L = (1, 64)(2, 69)(3, 72)(4, 75)(5, 76)(6, 61)(7, 82)(8, 84)(9, 87)(10, 62)(11, 86)(12, 85)(13, 81)(14, 63)(15, 80)(16, 67)(17, 83)(18, 70)(19, 65)(20, 66)(21, 88)(22, 79)(23, 73)(24, 89)(25, 90)(26, 68)(27, 78)(28, 77)(29, 71)(30, 74)(31, 91)(32, 92)(33, 93)(34, 94)(35, 95)(36, 96)(37, 97)(38, 98)(39, 99)(40, 100)(41, 101)(42, 102)(43, 103)(44, 104)(45, 105)(46, 106)(47, 107)(48, 108)(49, 109)(50, 110)(51, 111)(52, 112)(53, 113)(54, 114)(55, 115)(56, 116)(57, 117)(58, 118)(59, 119)(60, 120)
	local type(s) :: { ( 4, 6, 4, 6 ), ( 4, 6, 4, 6, 4, 6, 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 E10.363
Graph:: bipartite
	v = 17 e = 60 f = 25
	degree seq :: [ 4^15, 30^2 ]

E10.365 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 3, 15})
Quotient :: halfedge^2
Aut^+ = D30 (small group id <30, 3>)
Aut   = D60 (small group id <60, 12>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, (Y1 * Y3)^2, R * Y3 * R * Y2, (Y2 * Y1^-1)^2, (R * Y1)^2, (Y3 * Y1^-1)^2, Y2 * Y3 * Y2 * Y1^-3 * Y3, Y2 * Y1^-1 * Y3 * Y1 * Y2 * Y1^-1 * Y3, Y1^-1 * Y2 * Y3 * Y1^-5 ]
Map:: non-degenerate
	R = (1, 32, 2, 36, 6, 44, 14, 56, 26, 50, 20, 40, 10, 47, 17, 53, 23, 42, 12, 48, 18, 58, 28, 55, 25, 43, 13, 35, 5, 31)(3, 39, 9, 49, 19, 57, 27, 46, 16, 38, 8, 34, 4, 41, 11, 52, 22, 51, 21, 60, 30, 59, 29, 54, 24, 45, 15, 37, 7, 33)
	L = (1, 3)(2, 7)(4, 12)(5, 9)(6, 15)(8, 18)(10, 21)(11, 23)(13, 19)(14, 24)(16, 28)(17, 22)(20, 30)(25, 27)(26, 29)(31, 34)(32, 38)(33, 40)(35, 41)(36, 46)(37, 47)(39, 50)(42, 54)(43, 52)(44, 57)(45, 53)(48, 59)(49, 56)(51, 55)(58, 60)
	local type(s) :: { ( 6^30 ) }
Outer automorphisms :: reflexible
Dual of E10.366
Transitivity :: VT+ AT
Graph:: bipartite
	v = 2 e = 30 f = 10
	degree seq :: [ 30^2 ]

E10.366 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 3, 15})
Quotient :: halfedge^2
Aut^+ = D30 (small group id <30, 3>)
Aut   = D60 (small group id <60, 12>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, Y1^3, R * Y3 * R * Y2, (R * Y1)^2, (Y2 * Y1^-1)^2, (Y3 * Y1)^2, (Y3 * Y2)^5, (Y2 * Y1 * Y3)^15 ]
Map:: non-degenerate
	R = (1, 32, 2, 35, 5, 31)(3, 38, 8, 36, 6, 33)(4, 40, 10, 37, 7, 34)(9, 42, 12, 44, 14, 39)(11, 43, 13, 46, 16, 41)(15, 50, 20, 48, 18, 45)(17, 52, 22, 49, 19, 47)(21, 54, 24, 56, 26, 51)(23, 55, 25, 58, 28, 53)(27, 60, 30, 59, 29, 57)
	L = (1, 3)(2, 6)(4, 11)(5, 8)(7, 13)(9, 15)(10, 16)(12, 18)(14, 20)(17, 23)(19, 25)(21, 27)(22, 28)(24, 29)(26, 30)(31, 34)(32, 37)(33, 39)(35, 40)(36, 42)(38, 44)(41, 47)(43, 49)(45, 51)(46, 52)(48, 54)(50, 56)(53, 57)(55, 59)(58, 60)
	local type(s) :: { ( 30^6 ) }
Outer automorphisms :: reflexible
Dual of E10.365
Transitivity :: VT+ AT
Graph:: bipartite
	v = 10 e = 30 f = 2
	degree seq :: [ 6^10 ]

E10.367 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 3, 15})
Quotient :: edge^2
Aut^+ = D30 (small group id <30, 3>)
Aut   = D60 (small group id <60, 12>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^3, (R * Y3)^2, R * Y1 * R * Y2, (Y3^-1 * Y1)^2, (Y3 * Y2)^2, (Y2 * Y1)^5, (Y3 * Y1 * Y2)^15 ]
Map::
	R = (1, 31, 4, 34, 5, 35)(2, 32, 7, 37, 8, 38)(3, 33, 10, 40, 11, 41)(6, 36, 13, 43, 14, 44)(9, 39, 16, 46, 17, 47)(12, 42, 19, 49, 20, 50)(15, 45, 22, 52, 23, 53)(18, 48, 25, 55, 26, 56)(21, 51, 27, 57, 28, 58)(24, 54, 29, 59, 30, 60)(61, 62)(63, 69)(64, 68)(65, 67)(66, 72)(70, 77)(71, 76)(73, 80)(74, 79)(75, 81)(78, 84)(82, 88)(83, 87)(85, 90)(86, 89)(91, 93)(92, 96)(94, 101)(95, 100)(97, 104)(98, 103)(99, 105)(102, 108)(106, 113)(107, 112)(109, 116)(110, 115)(111, 114)(117, 120)(118, 119)
	L = (1, 61)(2, 62)(3, 63)(4, 64)(5, 65)(6, 66)(7, 67)(8, 68)(9, 69)(10, 70)(11, 71)(12, 72)(13, 73)(14, 74)(15, 75)(16, 76)(17, 77)(18, 78)(19, 79)(20, 80)(21, 81)(22, 82)(23, 83)(24, 84)(25, 85)(26, 86)(27, 87)(28, 88)(29, 89)(30, 90)(31, 91)(32, 92)(33, 93)(34, 94)(35, 95)(36, 96)(37, 97)(38, 98)(39, 99)(40, 100)(41, 101)(42, 102)(43, 103)(44, 104)(45, 105)(46, 106)(47, 107)(48, 108)(49, 109)(50, 110)(51, 111)(52, 112)(53, 113)(54, 114)(55, 115)(56, 116)(57, 117)(58, 118)(59, 119)(60, 120)
	local type(s) :: { ( 60, 60 ), ( 60^6 ) }
Outer automorphisms :: reflexible
Dual of E10.370
Graph:: simple bipartite
	v = 40 e = 60 f = 2
	degree seq :: [ 2^30, 6^10 ]

E10.368 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 3, 15})
Quotient :: edge^2
Aut^+ = D30 (small group id <30, 3>)
Aut   = D60 (small group id <60, 12>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, (Y3^-1 * Y2)^2, R * Y2 * R * Y1, (R * Y3)^2, (Y3 * Y1)^2, (Y3 * Y2)^2, Y1 * Y2 * Y1 * Y3 * Y2 * Y3^-2, Y3 * Y1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2, Y3^15 ]
Map::
	R = (1, 31, 4, 34, 12, 42, 24, 54, 30, 60, 21, 51, 9, 39, 20, 50, 16, 46, 6, 36, 15, 45, 27, 57, 25, 55, 13, 43, 5, 35)(2, 32, 7, 37, 17, 47, 19, 49, 29, 59, 26, 56, 14, 44, 23, 53, 11, 41, 3, 33, 10, 40, 22, 52, 28, 58, 18, 48, 8, 38)(61, 62)(63, 69)(64, 68)(65, 67)(66, 74)(70, 81)(71, 80)(72, 78)(73, 77)(75, 86)(76, 83)(79, 85)(82, 90)(84, 88)(87, 89)(91, 93)(92, 96)(94, 101)(95, 100)(97, 106)(98, 105)(99, 109)(102, 113)(103, 112)(104, 114)(107, 110)(108, 117)(111, 119)(115, 118)(116, 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) :: { ( 12, 12 ), ( 12^30 ) }
Outer automorphisms :: reflexible
Dual of E10.369
Graph:: simple bipartite
	v = 32 e = 60 f = 10
	degree seq :: [ 2^30, 30^2 ]

E10.369 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 3, 15})
Quotient :: loop^2
Aut^+ = D30 (small group id <30, 3>)
Aut   = D60 (small group id <60, 12>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^3, (R * Y3)^2, R * Y1 * R * Y2, (Y3^-1 * Y1)^2, (Y3 * Y2)^2, (Y2 * Y1)^5, (Y3 * Y1 * Y2)^15 ]
Map::
	R = (1, 31, 61, 91, 4, 34, 64, 94, 5, 35, 65, 95)(2, 32, 62, 92, 7, 37, 67, 97, 8, 38, 68, 98)(3, 33, 63, 93, 10, 40, 70, 100, 11, 41, 71, 101)(6, 36, 66, 96, 13, 43, 73, 103, 14, 44, 74, 104)(9, 39, 69, 99, 16, 46, 76, 106, 17, 47, 77, 107)(12, 42, 72, 102, 19, 49, 79, 109, 20, 50, 80, 110)(15, 45, 75, 105, 22, 52, 82, 112, 23, 53, 83, 113)(18, 48, 78, 108, 25, 55, 85, 115, 26, 56, 86, 116)(21, 51, 81, 111, 27, 57, 87, 117, 28, 58, 88, 118)(24, 54, 84, 114, 29, 59, 89, 119, 30, 60, 90, 120)
	L = (1, 32)(2, 31)(3, 39)(4, 38)(5, 37)(6, 42)(7, 35)(8, 34)(9, 33)(10, 47)(11, 46)(12, 36)(13, 50)(14, 49)(15, 51)(16, 41)(17, 40)(18, 54)(19, 44)(20, 43)(21, 45)(22, 58)(23, 57)(24, 48)(25, 60)(26, 59)(27, 53)(28, 52)(29, 56)(30, 55)(61, 93)(62, 96)(63, 91)(64, 101)(65, 100)(66, 92)(67, 104)(68, 103)(69, 105)(70, 95)(71, 94)(72, 108)(73, 98)(74, 97)(75, 99)(76, 113)(77, 112)(78, 102)(79, 116)(80, 115)(81, 114)(82, 107)(83, 106)(84, 111)(85, 110)(86, 109)(87, 120)(88, 119)(89, 118)(90, 117)
	local type(s) :: { ( 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30 ) }
Outer automorphisms :: reflexible
Dual of E10.368
Transitivity :: VT+
Graph:: bipartite
	v = 10 e = 60 f = 32
	degree seq :: [ 12^10 ]

E10.370 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 3, 15})
Quotient :: loop^2
Aut^+ = D30 (small group id <30, 3>)
Aut   = D60 (small group id <60, 12>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, (Y3^-1 * Y2)^2, R * Y2 * R * Y1, (R * Y3)^2, (Y3 * Y1)^2, (Y3 * Y2)^2, Y1 * Y2 * Y1 * Y3 * Y2 * Y3^-2, Y3 * Y1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2, Y3^15 ]
Map::
	R = (1, 31, 61, 91, 4, 34, 64, 94, 12, 42, 72, 102, 24, 54, 84, 114, 30, 60, 90, 120, 21, 51, 81, 111, 9, 39, 69, 99, 20, 50, 80, 110, 16, 46, 76, 106, 6, 36, 66, 96, 15, 45, 75, 105, 27, 57, 87, 117, 25, 55, 85, 115, 13, 43, 73, 103, 5, 35, 65, 95)(2, 32, 62, 92, 7, 37, 67, 97, 17, 47, 77, 107, 19, 49, 79, 109, 29, 59, 89, 119, 26, 56, 86, 116, 14, 44, 74, 104, 23, 53, 83, 113, 11, 41, 71, 101, 3, 33, 63, 93, 10, 40, 70, 100, 22, 52, 82, 112, 28, 58, 88, 118, 18, 48, 78, 108, 8, 38, 68, 98)
	L = (1, 32)(2, 31)(3, 39)(4, 38)(5, 37)(6, 44)(7, 35)(8, 34)(9, 33)(10, 51)(11, 50)(12, 48)(13, 47)(14, 36)(15, 56)(16, 53)(17, 43)(18, 42)(19, 55)(20, 41)(21, 40)(22, 60)(23, 46)(24, 58)(25, 49)(26, 45)(27, 59)(28, 54)(29, 57)(30, 52)(61, 93)(62, 96)(63, 91)(64, 101)(65, 100)(66, 92)(67, 106)(68, 105)(69, 109)(70, 95)(71, 94)(72, 113)(73, 112)(74, 114)(75, 98)(76, 97)(77, 110)(78, 117)(79, 99)(80, 107)(81, 119)(82, 103)(83, 102)(84, 104)(85, 118)(86, 120)(87, 108)(88, 115)(89, 111)(90, 116)
	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 ) }
Outer automorphisms :: reflexible
Dual of E10.367
Transitivity :: VT+
Graph:: bipartite
	v = 2 e = 60 f = 40
	degree seq :: [ 60^2 ]

E10.371 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 15})
Quotient :: dipole
Aut^+ = D30 (small group id <30, 3>)
Aut   = D60 (small group id <60, 12>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^3, (R * Y3)^2, (R * Y1)^2, (Y3, Y2), (Y3^-1 * Y1)^2, (R * Y2)^2, (Y2^-1 * Y1)^2, Y3^5 ]
Map:: non-degenerate
	R = (1, 31, 2, 32)(3, 33, 9, 39)(4, 34, 10, 40)(5, 35, 7, 37)(6, 36, 8, 38)(11, 41, 21, 51)(12, 42, 20, 50)(13, 43, 22, 52)(14, 44, 18, 48)(15, 45, 17, 47)(16, 46, 19, 49)(23, 53, 30, 60)(24, 54, 29, 59)(25, 55, 28, 58)(26, 56, 27, 57)(61, 91, 63, 93, 65, 95)(62, 92, 67, 97, 69, 99)(64, 94, 71, 101, 74, 104)(66, 96, 72, 102, 75, 105)(68, 98, 77, 107, 80, 110)(70, 100, 78, 108, 81, 111)(73, 103, 83, 113, 85, 115)(76, 106, 84, 114, 86, 116)(79, 109, 87, 117, 89, 119)(82, 112, 88, 118, 90, 120)
	L = (1, 64)(2, 68)(3, 71)(4, 73)(5, 74)(6, 61)(7, 77)(8, 79)(9, 80)(10, 62)(11, 83)(12, 63)(13, 76)(14, 85)(15, 65)(16, 66)(17, 87)(18, 67)(19, 82)(20, 89)(21, 69)(22, 70)(23, 84)(24, 72)(25, 86)(26, 75)(27, 88)(28, 78)(29, 90)(30, 81)(31, 91)(32, 92)(33, 93)(34, 94)(35, 95)(36, 96)(37, 97)(38, 98)(39, 99)(40, 100)(41, 101)(42, 102)(43, 103)(44, 104)(45, 105)(46, 106)(47, 107)(48, 108)(49, 109)(50, 110)(51, 111)(52, 112)(53, 113)(54, 114)(55, 115)(56, 116)(57, 117)(58, 118)(59, 119)(60, 120)
	local type(s) :: { ( 4, 30, 4, 30 ), ( 4, 30, 4, 30, 4, 30 ) }
Outer automorphisms :: reflexible
Dual of E10.373
Graph:: simple bipartite
	v = 25 e = 60 f = 17
	degree seq :: [ 4^15, 6^10 ]

E10.372 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 15})
Quotient :: dipole
Aut^+ = D30 (small group id <30, 3>)
Aut   = D60 (small group id <60, 12>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^3, (R * Y3)^2, (R * Y1)^2, (Y3^-1, Y2^-1), (R * Y2)^2, (Y3^-1 * Y1)^2, (Y2^-1 * Y1)^2, Y3^5 * Y2^-1, Y3^-1 * Y2 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2 ]
Map:: non-degenerate
	R = (1, 31, 2, 32)(3, 33, 9, 39)(4, 34, 10, 40)(5, 35, 7, 37)(6, 36, 8, 38)(11, 41, 21, 51)(12, 42, 20, 50)(13, 43, 22, 52)(14, 44, 18, 48)(15, 45, 17, 47)(16, 46, 19, 49)(23, 53, 30, 60)(24, 54, 29, 59)(25, 55, 28, 58)(26, 56, 27, 57)(61, 91, 63, 93, 65, 95)(62, 92, 67, 97, 69, 99)(64, 94, 71, 101, 74, 104)(66, 96, 72, 102, 75, 105)(68, 98, 77, 107, 80, 110)(70, 100, 78, 108, 81, 111)(73, 103, 83, 113, 85, 115)(76, 106, 84, 114, 86, 116)(79, 109, 87, 117, 89, 119)(82, 112, 88, 118, 90, 120)
	L = (1, 64)(2, 68)(3, 71)(4, 73)(5, 74)(6, 61)(7, 77)(8, 79)(9, 80)(10, 62)(11, 83)(12, 63)(13, 84)(14, 85)(15, 65)(16, 66)(17, 87)(18, 67)(19, 88)(20, 89)(21, 69)(22, 70)(23, 86)(24, 72)(25, 76)(26, 75)(27, 90)(28, 78)(29, 82)(30, 81)(31, 91)(32, 92)(33, 93)(34, 94)(35, 95)(36, 96)(37, 97)(38, 98)(39, 99)(40, 100)(41, 101)(42, 102)(43, 103)(44, 104)(45, 105)(46, 106)(47, 107)(48, 108)(49, 109)(50, 110)(51, 111)(52, 112)(53, 113)(54, 114)(55, 115)(56, 116)(57, 117)(58, 118)(59, 119)(60, 120)
	local type(s) :: { ( 4, 30, 4, 30 ), ( 4, 30, 4, 30, 4, 30 ) }
Outer automorphisms :: reflexible
Dual of E10.374
Graph:: simple bipartite
	v = 25 e = 60 f = 17
	degree seq :: [ 4^15, 6^10 ]

E10.373 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 15})
Quotient :: dipole
Aut^+ = D30 (small group id <30, 3>)
Aut   = D60 (small group id <60, 12>)
|r| :: 2
Presentation :: [ Y2^2, R^2, (R * Y1)^2, (Y3 * Y2)^2, (Y2 * Y1)^2, (Y3, Y1^-1), (R * Y3)^2, Y3^-5, Y3^-2 * Y1^3, (R * Y2 * Y3^-1)^2, Y3^10 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 7, 37, 14, 44, 23, 53, 17, 47, 6, 36, 10, 40, 15, 45, 4, 34, 9, 39, 20, 50, 18, 48, 16, 46, 5, 35)(3, 33, 11, 41, 24, 54, 27, 57, 29, 59, 22, 52, 13, 43, 26, 56, 21, 51, 12, 42, 25, 55, 30, 60, 28, 58, 19, 49, 8, 38)(61, 91, 63, 93)(62, 92, 68, 98)(64, 94, 73, 103)(65, 95, 71, 101)(66, 96, 72, 102)(67, 97, 79, 109)(69, 99, 82, 112)(70, 100, 81, 111)(74, 104, 88, 118)(75, 105, 86, 116)(76, 106, 84, 114)(77, 107, 85, 115)(78, 108, 87, 117)(80, 110, 89, 119)(83, 113, 90, 120)
	L = (1, 64)(2, 69)(3, 72)(4, 74)(5, 75)(6, 61)(7, 80)(8, 81)(9, 83)(10, 62)(11, 85)(12, 87)(13, 63)(14, 78)(15, 67)(16, 70)(17, 65)(18, 66)(19, 86)(20, 77)(21, 84)(22, 68)(23, 76)(24, 90)(25, 89)(26, 71)(27, 88)(28, 73)(29, 79)(30, 82)(31, 91)(32, 92)(33, 93)(34, 94)(35, 95)(36, 96)(37, 97)(38, 98)(39, 99)(40, 100)(41, 101)(42, 102)(43, 103)(44, 104)(45, 105)(46, 106)(47, 107)(48, 108)(49, 109)(50, 110)(51, 111)(52, 112)(53, 113)(54, 114)(55, 115)(56, 116)(57, 117)(58, 118)(59, 119)(60, 120)
	local type(s) :: { ( 4, 6, 4, 6 ), ( 4, 6, 4, 6, 4, 6, 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 E10.371
Graph:: bipartite
	v = 17 e = 60 f = 25
	degree seq :: [ 4^15, 30^2 ]

E10.374 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 15})
Quotient :: dipole
Aut^+ = D30 (small group id <30, 3>)
Aut   = D60 (small group id <60, 12>)
|r| :: 2
Presentation :: [ Y2^2, R^2, (R * Y1)^2, (Y3 * Y2)^2, (Y2 * Y1)^2, (Y3, Y1^-1), (R * Y3)^2, Y1 * Y3^-1 * Y1^3, Y3^-1 * Y1 * Y3^-3, (R * Y2 * Y3^-1)^2, Y1^-1 * Y3^-2 * Y1^-1 * Y3^-1 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 7, 37, 15, 45, 4, 34, 9, 39, 20, 50, 18, 48, 14, 44, 23, 53, 17, 47, 6, 36, 10, 40, 16, 46, 5, 35)(3, 33, 11, 41, 24, 54, 21, 51, 12, 42, 25, 55, 30, 60, 28, 58, 27, 57, 29, 59, 22, 52, 13, 43, 26, 56, 19, 49, 8, 38)(61, 91, 63, 93)(62, 92, 68, 98)(64, 94, 73, 103)(65, 95, 71, 101)(66, 96, 72, 102)(67, 97, 79, 109)(69, 99, 82, 112)(70, 100, 81, 111)(74, 104, 88, 118)(75, 105, 86, 116)(76, 106, 84, 114)(77, 107, 85, 115)(78, 108, 87, 117)(80, 110, 89, 119)(83, 113, 90, 120)
	L = (1, 64)(2, 69)(3, 72)(4, 74)(5, 75)(6, 61)(7, 80)(8, 81)(9, 83)(10, 62)(11, 85)(12, 87)(13, 63)(14, 70)(15, 78)(16, 67)(17, 65)(18, 66)(19, 84)(20, 77)(21, 88)(22, 68)(23, 76)(24, 90)(25, 89)(26, 71)(27, 86)(28, 73)(29, 79)(30, 82)(31, 91)(32, 92)(33, 93)(34, 94)(35, 95)(36, 96)(37, 97)(38, 98)(39, 99)(40, 100)(41, 101)(42, 102)(43, 103)(44, 104)(45, 105)(46, 106)(47, 107)(48, 108)(49, 109)(50, 110)(51, 111)(52, 112)(53, 113)(54, 114)(55, 115)(56, 116)(57, 117)(58, 118)(59, 119)(60, 120)
	local type(s) :: { ( 4, 6, 4, 6 ), ( 4, 6, 4, 6, 4, 6, 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 E10.372
Graph:: bipartite
	v = 17 e = 60 f = 25
	degree seq :: [ 4^15, 30^2 ]

E10.375 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {6, 6, 15})
Quotient :: edge
Aut^+ = C3 x D10 (small group id <30, 2>)
Aut   = S3 x D10 (small group id <60, 8>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, (T2 * T1^-1)^2, T2 * T1 * T2 * T1^-3, T2 * T1 * T2 * T1^3, T2^-1 * T1^2 * T2^-4 ]
Map:: non-degenerate
	R = (1, 3, 10, 25, 18, 6, 17, 29, 30, 19, 12, 21, 28, 15, 5)(2, 7, 20, 23, 9, 16, 14, 27, 24, 13, 4, 11, 26, 22, 8)(31, 32, 36, 46, 42, 34)(33, 39, 47, 43, 51, 38)(35, 41, 48, 37, 49, 44)(40, 54, 59, 52, 58, 53)(45, 57, 55, 56, 60, 50)
	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) :: { ( 12^6 ), ( 12^15 ) }
Outer automorphisms :: reflexible
Dual of E10.376
Transitivity :: ET+
Graph:: bipartite
	v = 7 e = 30 f = 5
	degree seq :: [ 6^5, 15^2 ]

E10.376 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {6, 6, 15})
Quotient :: loop
Aut^+ = C3 x D10 (small group id <30, 2>)
Aut   = S3 x D10 (small group id <60, 8>)
|r| :: 2
Presentation :: [ F^2, T1^2 * T2^-2, (F * T1)^2, (F * T2)^2, T2^6, T2 * T1 * T2 * T1 * T2^-1 * T1 * T2^-1 * T1^-1 * T2^-1 * T1^-1, (T2^-1 * T1^-1)^15 ]
Map:: non-degenerate
	R = (1, 31, 3, 33, 6, 36, 15, 45, 11, 41, 5, 35)(2, 32, 7, 37, 14, 44, 12, 42, 4, 34, 8, 38)(9, 39, 19, 49, 13, 43, 21, 51, 10, 40, 20, 50)(16, 46, 22, 52, 18, 48, 24, 54, 17, 47, 23, 53)(25, 55, 28, 58, 27, 57, 30, 60, 26, 56, 29, 59)
	L = (1, 32)(2, 36)(3, 39)(4, 31)(5, 40)(6, 44)(7, 46)(8, 47)(9, 45)(10, 33)(11, 34)(12, 48)(13, 35)(14, 41)(15, 43)(16, 42)(17, 37)(18, 38)(19, 55)(20, 56)(21, 57)(22, 58)(23, 59)(24, 60)(25, 51)(26, 49)(27, 50)(28, 54)(29, 52)(30, 53)
	local type(s) :: { ( 6, 15, 6, 15, 6, 15, 6, 15, 6, 15, 6, 15 ) }
Outer automorphisms :: reflexible
Dual of E10.375
Transitivity :: ET+ VT+ AT
Graph::
	v = 5 e = 30 f = 7
	degree seq :: [ 12^5 ]

E10.377 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {6, 6, 15})
Quotient :: dipole
Aut^+ = C3 x D10 (small group id <30, 2>)
Aut   = S3 x D10 (small group id <60, 8>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y2^-1, (Y1^-1 * Y2)^2, R * Y2 * R * Y3, (R * Y1)^2, Y2^-1 * Y1^-1 * Y2^-1 * Y1^-3, (Y1^-1 * Y2^-2)^2, Y1^6, Y2 * Y1^-2 * Y2^4, (Y3^-1 * Y1^-1)^6 ]
Map::
	R = (1, 31, 2, 32, 6, 36, 16, 46, 12, 42, 4, 34)(3, 33, 9, 39, 17, 47, 13, 43, 21, 51, 8, 38)(5, 35, 11, 41, 18, 48, 7, 37, 19, 49, 14, 44)(10, 40, 24, 54, 29, 59, 22, 52, 28, 58, 23, 53)(15, 45, 27, 57, 25, 55, 26, 56, 30, 60, 20, 50)(61, 91, 63, 93, 70, 100, 85, 115, 78, 108, 66, 96, 77, 107, 89, 119, 90, 120, 79, 109, 72, 102, 81, 111, 88, 118, 75, 105, 65, 95)(62, 92, 67, 97, 80, 110, 83, 113, 69, 99, 76, 106, 74, 104, 87, 117, 84, 114, 73, 103, 64, 94, 71, 101, 86, 116, 82, 112, 68, 98)
	L = (1, 63)(2, 67)(3, 70)(4, 71)(5, 61)(6, 77)(7, 80)(8, 62)(9, 76)(10, 85)(11, 86)(12, 81)(13, 64)(14, 87)(15, 65)(16, 74)(17, 89)(18, 66)(19, 72)(20, 83)(21, 88)(22, 68)(23, 69)(24, 73)(25, 78)(26, 82)(27, 84)(28, 75)(29, 90)(30, 79)(31, 91)(32, 92)(33, 93)(34, 94)(35, 95)(36, 96)(37, 97)(38, 98)(39, 99)(40, 100)(41, 101)(42, 102)(43, 103)(44, 104)(45, 105)(46, 106)(47, 107)(48, 108)(49, 109)(50, 110)(51, 111)(52, 112)(53, 113)(54, 114)(55, 115)(56, 116)(57, 117)(58, 118)(59, 119)(60, 120)
	local type(s) :: { ( 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12 ), ( 2, 12, 2, 12, 2, 12, 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 E10.378
Graph:: bipartite
	v = 7 e = 60 f = 35
	degree seq :: [ 12^5, 30^2 ]

E10.378 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {6, 6, 15})
Quotient :: dipole
Aut^+ = C3 x D10 (small group id <30, 2>)
Aut   = S3 x D10 (small group id <60, 8>)
|r| :: 2
Presentation :: [ Y1, R^2, (Y3 * Y2)^2, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y2 * Y3^-1 * Y2 * Y3^-1 * Y2^2, Y3 * Y2^3 * Y3 * Y2^-1, Y2^6, Y3^-1 * Y2^-1 * Y3^3 * Y2^-1 * Y3^-1, (Y3^-1 * Y1^-1)^15 ]
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, 76, 106, 73, 103, 64, 94)(63, 93, 69, 99, 77, 107, 68, 98, 81, 111, 71, 101)(65, 95, 74, 104, 78, 108, 72, 102, 80, 110, 67, 97)(70, 100, 84, 114, 88, 118, 83, 113, 90, 120, 82, 112)(75, 105, 86, 116, 89, 119, 79, 109, 85, 115, 87, 117)
	L = (1, 63)(2, 67)(3, 70)(4, 72)(5, 61)(6, 77)(7, 79)(8, 62)(9, 64)(10, 85)(11, 76)(12, 86)(13, 81)(14, 87)(15, 65)(16, 74)(17, 88)(18, 66)(19, 83)(20, 73)(21, 90)(22, 68)(23, 69)(24, 71)(25, 80)(26, 84)(27, 82)(28, 75)(29, 78)(30, 89)(31, 91)(32, 92)(33, 93)(34, 94)(35, 95)(36, 96)(37, 97)(38, 98)(39, 99)(40, 100)(41, 101)(42, 102)(43, 103)(44, 104)(45, 105)(46, 106)(47, 107)(48, 108)(49, 109)(50, 110)(51, 111)(52, 112)(53, 113)(54, 114)(55, 115)(56, 116)(57, 117)(58, 118)(59, 119)(60, 120)
	local type(s) :: { ( 12, 30 ), ( 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30 ) }
Outer automorphisms :: reflexible
Dual of E10.377
Graph:: simple bipartite
	v = 35 e = 60 f = 7
	degree seq :: [ 2^30, 12^5 ]

E10.379 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {5, 6, 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), T1^5, T2^6 ]
Map:: non-degenerate
	R = (1, 3, 9, 18, 13, 5)(2, 7, 16, 25, 17, 8)(4, 10, 19, 26, 22, 12)(6, 14, 23, 29, 24, 15)(11, 20, 27, 30, 28, 21)(31, 32, 36, 41, 34)(33, 37, 44, 50, 40)(35, 38, 45, 51, 42)(39, 46, 53, 57, 49)(43, 47, 54, 58, 52)(48, 55, 59, 60, 56)
	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) :: { ( 60^5 ), ( 60^6 ) }
Outer automorphisms :: reflexible
Dual of E10.383
Transitivity :: ET+
Graph:: simple bipartite
	v = 11 e = 30 f = 1
	degree seq :: [ 5^6, 6^5 ]

E10.380 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {5, 6, 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), T2^5 * T1^-1, T1^6, (T1^-1 * T2^-1)^5 ]
Map:: non-degenerate
	R = (1, 3, 9, 18, 8, 2, 7, 17, 26, 16, 6, 15, 25, 30, 24, 14, 23, 29, 28, 21, 11, 20, 27, 22, 12, 4, 10, 19, 13, 5)(31, 32, 36, 44, 41, 34)(33, 37, 45, 53, 50, 40)(35, 38, 46, 54, 51, 42)(39, 47, 55, 59, 57, 49)(43, 48, 56, 60, 58, 52)
	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) :: { ( 10^6 ), ( 10^30 ) }
Outer automorphisms :: reflexible
Dual of E10.384
Transitivity :: ET+
Graph:: bipartite
	v = 6 e = 30 f = 6
	degree seq :: [ 6^5, 30 ]

E10.381 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {5, 6, 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), T2^5, T2 * T1^6, T1 * T2^-1 * T1 * T2^-1 * T1^2 * T2^-1 * T1^2 * T2^-1, (T1^-1 * T2^-1)^6 ]
Map:: non-degenerate
	R = (1, 3, 9, 13, 5)(2, 7, 17, 18, 8)(4, 10, 19, 23, 12)(6, 15, 25, 26, 16)(11, 20, 27, 29, 22)(14, 21, 28, 30, 24)(31, 32, 36, 44, 52, 42, 35, 38, 46, 54, 59, 53, 43, 48, 56, 60, 57, 49, 39, 47, 55, 58, 50, 40, 33, 37, 45, 51, 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) :: { ( 12^5 ), ( 12^30 ) }
Outer automorphisms :: reflexible
Dual of E10.382
Transitivity :: ET+
Graph:: bipartite
	v = 7 e = 30 f = 5
	degree seq :: [ 5^6, 30 ]

E10.382 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {5, 6, 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), T1^5, T2^6 ]
Map:: non-degenerate
	R = (1, 31, 3, 33, 9, 39, 18, 48, 13, 43, 5, 35)(2, 32, 7, 37, 16, 46, 25, 55, 17, 47, 8, 38)(4, 34, 10, 40, 19, 49, 26, 56, 22, 52, 12, 42)(6, 36, 14, 44, 23, 53, 29, 59, 24, 54, 15, 45)(11, 41, 20, 50, 27, 57, 30, 60, 28, 58, 21, 51)
	L = (1, 32)(2, 36)(3, 37)(4, 31)(5, 38)(6, 41)(7, 44)(8, 45)(9, 46)(10, 33)(11, 34)(12, 35)(13, 47)(14, 50)(15, 51)(16, 53)(17, 54)(18, 55)(19, 39)(20, 40)(21, 42)(22, 43)(23, 57)(24, 58)(25, 59)(26, 48)(27, 49)(28, 52)(29, 60)(30, 56)
	local type(s) :: { ( 5, 30, 5, 30, 5, 30, 5, 30, 5, 30, 5, 30 ) }
Outer automorphisms :: reflexible
Dual of E10.381
Transitivity :: ET+ VT+ AT
Graph::
	v = 5 e = 30 f = 7
	degree seq :: [ 12^5 ]

E10.383 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {5, 6, 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), T2^5 * T1^-1, T1^6, (T1^-1 * T2^-1)^5 ]
Map:: non-degenerate
	R = (1, 31, 3, 33, 9, 39, 18, 48, 8, 38, 2, 32, 7, 37, 17, 47, 26, 56, 16, 46, 6, 36, 15, 45, 25, 55, 30, 60, 24, 54, 14, 44, 23, 53, 29, 59, 28, 58, 21, 51, 11, 41, 20, 50, 27, 57, 22, 52, 12, 42, 4, 34, 10, 40, 19, 49, 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, 41)(15, 53)(16, 54)(17, 55)(18, 56)(19, 39)(20, 40)(21, 42)(22, 43)(23, 50)(24, 51)(25, 59)(26, 60)(27, 49)(28, 52)(29, 57)(30, 58)
	local type(s) :: { ( 5, 6, 5, 6, 5, 6, 5, 6, 5, 6, 5, 6, 5, 6, 5, 6, 5, 6, 5, 6, 5, 6, 5, 6, 5, 6, 5, 6, 5, 6, 5, 6, 5, 6, 5, 6, 5, 6, 5, 6, 5, 6, 5, 6, 5, 6, 5, 6, 5, 6, 5, 6, 5, 6, 5, 6, 5, 6, 5, 6 ) }
Outer automorphisms :: reflexible
Dual of E10.379
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 30 f = 11
	degree seq :: [ 60 ]

E10.384 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {5, 6, 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), T2^5, T2 * T1^6, T1 * T2^-1 * T1 * T2^-1 * T1^2 * T2^-1 * T1^2 * T2^-1, (T1^-1 * T2^-1)^6 ]
Map:: non-degenerate
	R = (1, 31, 3, 33, 9, 39, 13, 43, 5, 35)(2, 32, 7, 37, 17, 47, 18, 48, 8, 38)(4, 34, 10, 40, 19, 49, 23, 53, 12, 42)(6, 36, 15, 45, 25, 55, 26, 56, 16, 46)(11, 41, 20, 50, 27, 57, 29, 59, 22, 52)(14, 44, 21, 51, 28, 58, 30, 60, 24, 54)
	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, 51)(16, 54)(17, 55)(18, 56)(19, 39)(20, 40)(21, 41)(22, 42)(23, 43)(24, 59)(25, 58)(26, 60)(27, 49)(28, 50)(29, 53)(30, 57)
	local type(s) :: { ( 6, 30, 6, 30, 6, 30, 6, 30, 6, 30 ) }
Outer automorphisms :: reflexible
Dual of E10.380
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 6 e = 30 f = 6
	degree seq :: [ 10^6 ]

E10.385 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {5, 6, 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, (R * Y1)^2, (R * Y3)^2, (R * Y2)^2, (Y3^-1, Y2^-1), (Y2^-1, Y1^-1), Y1^5, Y2^6, Y3^30 ]
Map::
	R = (1, 31, 2, 32, 6, 36, 11, 41, 4, 34)(3, 33, 7, 37, 14, 44, 20, 50, 10, 40)(5, 35, 8, 38, 15, 45, 21, 51, 12, 42)(9, 39, 16, 46, 23, 53, 27, 57, 19, 49)(13, 43, 17, 47, 24, 54, 28, 58, 22, 52)(18, 48, 25, 55, 29, 59, 30, 60, 26, 56)(61, 91, 63, 93, 69, 99, 78, 108, 73, 103, 65, 95)(62, 92, 67, 97, 76, 106, 85, 115, 77, 107, 68, 98)(64, 94, 70, 100, 79, 109, 86, 116, 82, 112, 72, 102)(66, 96, 74, 104, 83, 113, 89, 119, 84, 114, 75, 105)(71, 101, 80, 110, 87, 117, 90, 120, 88, 118, 81, 111)
	L = (1, 64)(2, 61)(3, 70)(4, 71)(5, 72)(6, 62)(7, 63)(8, 65)(9, 79)(10, 80)(11, 66)(12, 81)(13, 82)(14, 67)(15, 68)(16, 69)(17, 73)(18, 86)(19, 87)(20, 74)(21, 75)(22, 88)(23, 76)(24, 77)(25, 78)(26, 90)(27, 83)(28, 84)(29, 85)(30, 89)(31, 91)(32, 92)(33, 93)(34, 94)(35, 95)(36, 96)(37, 97)(38, 98)(39, 99)(40, 100)(41, 101)(42, 102)(43, 103)(44, 104)(45, 105)(46, 106)(47, 107)(48, 108)(49, 109)(50, 110)(51, 111)(52, 112)(53, 113)(54, 114)(55, 115)(56, 116)(57, 117)(58, 118)(59, 119)(60, 120)
	local type(s) :: { ( 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 E10.388
Graph:: bipartite
	v = 11 e = 60 f = 31
	degree seq :: [ 10^6, 12^5 ]

E10.386 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {5, 6, 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, (R * Y1)^2, (R * Y3)^2, (Y1, Y2^-1), Y1^-1 * Y2^5, Y1^6, (Y3^-1 * Y1^-1)^5 ]
Map::
	R = (1, 31, 2, 32, 6, 36, 14, 44, 11, 41, 4, 34)(3, 33, 7, 37, 15, 45, 23, 53, 20, 50, 10, 40)(5, 35, 8, 38, 16, 46, 24, 54, 21, 51, 12, 42)(9, 39, 17, 47, 25, 55, 29, 59, 27, 57, 19, 49)(13, 43, 18, 48, 26, 56, 30, 60, 28, 58, 22, 52)(61, 91, 63, 93, 69, 99, 78, 108, 68, 98, 62, 92, 67, 97, 77, 107, 86, 116, 76, 106, 66, 96, 75, 105, 85, 115, 90, 120, 84, 114, 74, 104, 83, 113, 89, 119, 88, 118, 81, 111, 71, 101, 80, 110, 87, 117, 82, 112, 72, 102, 64, 94, 70, 100, 79, 109, 73, 103, 65, 95)
	L = (1, 63)(2, 67)(3, 69)(4, 70)(5, 61)(6, 75)(7, 77)(8, 62)(9, 78)(10, 79)(11, 80)(12, 64)(13, 65)(14, 83)(15, 85)(16, 66)(17, 86)(18, 68)(19, 73)(20, 87)(21, 71)(22, 72)(23, 89)(24, 74)(25, 90)(26, 76)(27, 82)(28, 81)(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) :: { ( 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10 ), ( 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 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 E10.387
Graph:: bipartite
	v = 6 e = 60 f = 36
	degree seq :: [ 12^5, 60 ]

E10.387 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {5, 6, 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, (Y2, Y3^-1), Y2^5, Y3^-6 * Y2, Y2^-1 * Y3^-2 * Y2^-2 * Y3 * Y2^-1 * Y3 * Y2^-1, (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, 71, 101, 64, 94)(63, 93, 67, 97, 74, 104, 80, 110, 70, 100)(65, 95, 68, 98, 75, 105, 81, 111, 72, 102)(69, 99, 76, 106, 84, 114, 87, 117, 79, 109)(73, 103, 77, 107, 85, 115, 88, 118, 82, 112)(78, 108, 86, 116, 90, 120, 89, 119, 83, 113)
	L = (1, 63)(2, 67)(3, 69)(4, 70)(5, 61)(6, 74)(7, 76)(8, 62)(9, 78)(10, 79)(11, 80)(12, 64)(13, 65)(14, 84)(15, 66)(16, 86)(17, 68)(18, 77)(19, 83)(20, 87)(21, 71)(22, 72)(23, 73)(24, 90)(25, 75)(26, 85)(27, 89)(28, 81)(29, 82)(30, 88)(31, 91)(32, 92)(33, 93)(34, 94)(35, 95)(36, 96)(37, 97)(38, 98)(39, 99)(40, 100)(41, 101)(42, 102)(43, 103)(44, 104)(45, 105)(46, 106)(47, 107)(48, 108)(49, 109)(50, 110)(51, 111)(52, 112)(53, 113)(54, 114)(55, 115)(56, 116)(57, 117)(58, 118)(59, 119)(60, 120)
	local type(s) :: { ( 12, 60 ), ( 12, 60, 12, 60, 12, 60, 12, 60, 12, 60 ) }
Outer automorphisms :: reflexible
Dual of E10.386
Graph:: simple bipartite
	v = 36 e = 60 f = 6
	degree seq :: [ 2^30, 10^6 ]

E10.388 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {5, 6, 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), (R * Y2 * Y3^-1)^2, Y1^3 * Y3 * Y1^3, Y1 * Y3^-1 * Y1 * Y3^-1 * Y1^2 * Y3^-1 * Y1^2 * Y3^-1, (Y3 * Y2^-1)^5, (Y1^-1 * Y3^-1)^6 ]
Map::
	R = (1, 31, 2, 32, 6, 36, 14, 44, 22, 52, 12, 42, 5, 35, 8, 38, 16, 46, 24, 54, 29, 59, 23, 53, 13, 43, 18, 48, 26, 56, 30, 60, 27, 57, 19, 49, 9, 39, 17, 47, 25, 55, 28, 58, 20, 50, 10, 40, 3, 33, 7, 37, 15, 45, 21, 51, 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, 73)(10, 79)(11, 80)(12, 64)(13, 65)(14, 81)(15, 85)(16, 66)(17, 78)(18, 68)(19, 83)(20, 87)(21, 88)(22, 71)(23, 72)(24, 74)(25, 86)(26, 76)(27, 89)(28, 90)(29, 82)(30, 84)(31, 91)(32, 92)(33, 93)(34, 94)(35, 95)(36, 96)(37, 97)(38, 98)(39, 99)(40, 100)(41, 101)(42, 102)(43, 103)(44, 104)(45, 105)(46, 106)(47, 107)(48, 108)(49, 109)(50, 110)(51, 111)(52, 112)(53, 113)(54, 114)(55, 115)(56, 116)(57, 117)(58, 118)(59, 119)(60, 120)
	local type(s) :: { ( 10, 12 ), ( 10, 12, 10, 12, 10, 12, 10, 12, 10, 12, 10, 12, 10, 12, 10, 12, 10, 12, 10, 12, 10, 12, 10, 12, 10, 12, 10, 12, 10, 12, 10, 12, 10, 12, 10, 12, 10, 12, 10, 12, 10, 12, 10, 12, 10, 12, 10, 12, 10, 12, 10, 12, 10, 12, 10, 12, 10, 12, 10, 12 ) }
Outer automorphisms :: reflexible
Dual of E10.385
Graph:: bipartite
	v = 31 e = 60 f = 11
	degree seq :: [ 2^30, 60 ]

E10.389 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {5, 6, 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, (R * Y1)^2, (R * Y2)^2, (R * Y3)^2, (Y2^-1, Y1^-1), (Y3^-1, Y2^-1), Y1^5, Y2^6 * Y1, Y2^2 * Y3 * Y1^-1 * Y2^-2 * Y3^-2, Y2^-1 * Y3^2 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 ]
Map::
	R = (1, 31, 2, 32, 6, 36, 11, 41, 4, 34)(3, 33, 7, 37, 14, 44, 20, 50, 10, 40)(5, 35, 8, 38, 15, 45, 21, 51, 12, 42)(9, 39, 16, 46, 24, 54, 28, 58, 19, 49)(13, 43, 17, 47, 25, 55, 29, 59, 22, 52)(18, 48, 23, 53, 26, 56, 30, 60, 27, 57)(61, 91, 63, 93, 69, 99, 78, 108, 82, 112, 72, 102, 64, 94, 70, 100, 79, 109, 87, 117, 89, 119, 81, 111, 71, 101, 80, 110, 88, 118, 90, 120, 85, 115, 75, 105, 66, 96, 74, 104, 84, 114, 86, 116, 77, 107, 68, 98, 62, 92, 67, 97, 76, 106, 83, 113, 73, 103, 65, 95)
	L = (1, 64)(2, 61)(3, 70)(4, 71)(5, 72)(6, 62)(7, 63)(8, 65)(9, 79)(10, 80)(11, 66)(12, 81)(13, 82)(14, 67)(15, 68)(16, 69)(17, 73)(18, 87)(19, 88)(20, 74)(21, 75)(22, 89)(23, 78)(24, 76)(25, 77)(26, 83)(27, 90)(28, 84)(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, 12, 2, 12, 2, 12, 2, 12, 2, 12 ), ( 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 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 E10.390
Graph:: bipartite
	v = 7 e = 60 f = 35
	degree seq :: [ 10^6, 60 ]

E10.390 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {5, 6, 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), Y3^5 * Y1^-1, (R * Y2 * Y3^-1)^2, Y1^6, (Y1^-1 * Y3^-1)^5, (Y3 * Y2^-1)^30 ]
Map::
	R = (1, 31, 2, 32, 6, 36, 14, 44, 11, 41, 4, 34)(3, 33, 7, 37, 15, 45, 23, 53, 20, 50, 10, 40)(5, 35, 8, 38, 16, 46, 24, 54, 21, 51, 12, 42)(9, 39, 17, 47, 25, 55, 29, 59, 27, 57, 19, 49)(13, 43, 18, 48, 26, 56, 30, 60, 28, 58, 22, 52)(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, 78)(10, 79)(11, 80)(12, 64)(13, 65)(14, 83)(15, 85)(16, 66)(17, 86)(18, 68)(19, 73)(20, 87)(21, 71)(22, 72)(23, 89)(24, 74)(25, 90)(26, 76)(27, 82)(28, 81)(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) :: { ( 10, 60 ), ( 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60 ) }
Outer automorphisms :: reflexible
Dual of E10.389
Graph:: simple bipartite
	v = 35 e = 60 f = 7
	degree seq :: [ 2^30, 12^5 ]

E10.391 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {3, 30, 30})
Quotient :: edge
Aut^+ = C30 (small group id <30, 4>)
Aut   = D60 (small group id <60, 12>)
|r| :: 2
Presentation :: [ F^2, T1^3, (F * T2)^2, (F * T1)^2, (T2^-1, T1^-1), T2^-10 * T1, (T1^-1 * T2^-1)^30 ]
Map:: non-degenerate
	R = (1, 3, 8, 14, 20, 26, 25, 19, 13, 7, 2, 6, 12, 18, 24, 30, 28, 22, 16, 10, 4, 9, 15, 21, 27, 29, 23, 17, 11, 5)(31, 32, 34)(33, 36, 39)(35, 37, 40)(38, 42, 45)(41, 43, 46)(44, 48, 51)(47, 49, 52)(50, 54, 57)(53, 55, 58)(56, 60, 59)
	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) :: { ( 60^3 ), ( 60^30 ) }
Outer automorphisms :: reflexible
Dual of E10.392
Transitivity :: ET+
Graph:: bipartite
	v = 11 e = 30 f = 1
	degree seq :: [ 3^10, 30 ]

E10.392 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {3, 30, 30})
Quotient :: loop
Aut^+ = C30 (small group id <30, 4>)
Aut   = D60 (small group id <60, 12>)
|r| :: 2
Presentation :: [ F^2, T1^3, (F * T2)^2, (F * T1)^2, (T2^-1, T1^-1), T2^-10 * T1, (T1^-1 * T2^-1)^30 ]
Map:: non-degenerate
	R = (1, 31, 3, 33, 8, 38, 14, 44, 20, 50, 26, 56, 25, 55, 19, 49, 13, 43, 7, 37, 2, 32, 6, 36, 12, 42, 18, 48, 24, 54, 30, 60, 28, 58, 22, 52, 16, 46, 10, 40, 4, 34, 9, 39, 15, 45, 21, 51, 27, 57, 29, 59, 23, 53, 17, 47, 11, 41, 5, 35)
	L = (1, 32)(2, 34)(3, 36)(4, 31)(5, 37)(6, 39)(7, 40)(8, 42)(9, 33)(10, 35)(11, 43)(12, 45)(13, 46)(14, 48)(15, 38)(16, 41)(17, 49)(18, 51)(19, 52)(20, 54)(21, 44)(22, 47)(23, 55)(24, 57)(25, 58)(26, 60)(27, 50)(28, 53)(29, 56)(30, 59)
	local type(s) :: { ( 3, 30, 3, 30, 3, 30, 3, 30, 3, 30, 3, 30, 3, 30, 3, 30, 3, 30, 3, 30, 3, 30, 3, 30, 3, 30, 3, 30, 3, 30, 3, 30, 3, 30, 3, 30, 3, 30, 3, 30, 3, 30, 3, 30, 3, 30, 3, 30, 3, 30, 3, 30, 3, 30, 3, 30, 3, 30, 3, 30 ) }
Outer automorphisms :: reflexible
Dual of E10.391
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 30 f = 11
	degree seq :: [ 60 ]

E10.393 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 30, 30})
Quotient :: dipole
Aut^+ = C30 (small group id <30, 4>)
Aut   = D60 (small group id <60, 12>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y3, Y3^3, Y1^3, (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, (Y3^-1, Y2^-1), (Y2, Y1^-1), Y3 * Y2^10, Y2^-3 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * 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, 4, 34)(3, 33, 6, 36, 9, 39)(5, 35, 7, 37, 10, 40)(8, 38, 12, 42, 15, 45)(11, 41, 13, 43, 16, 46)(14, 44, 18, 48, 21, 51)(17, 47, 19, 49, 22, 52)(20, 50, 24, 54, 27, 57)(23, 53, 25, 55, 28, 58)(26, 56, 30, 60, 29, 59)(61, 91, 63, 93, 68, 98, 74, 104, 80, 110, 86, 116, 85, 115, 79, 109, 73, 103, 67, 97, 62, 92, 66, 96, 72, 102, 78, 108, 84, 114, 90, 120, 88, 118, 82, 112, 76, 106, 70, 100, 64, 94, 69, 99, 75, 105, 81, 111, 87, 117, 89, 119, 83, 113, 77, 107, 71, 101, 65, 95)
	L = (1, 64)(2, 61)(3, 69)(4, 62)(5, 70)(6, 63)(7, 65)(8, 75)(9, 66)(10, 67)(11, 76)(12, 68)(13, 71)(14, 81)(15, 72)(16, 73)(17, 82)(18, 74)(19, 77)(20, 87)(21, 78)(22, 79)(23, 88)(24, 80)(25, 83)(26, 89)(27, 84)(28, 85)(29, 90)(30, 86)(31, 91)(32, 92)(33, 93)(34, 94)(35, 95)(36, 96)(37, 97)(38, 98)(39, 99)(40, 100)(41, 101)(42, 102)(43, 103)(44, 104)(45, 105)(46, 106)(47, 107)(48, 108)(49, 109)(50, 110)(51, 111)(52, 112)(53, 113)(54, 114)(55, 115)(56, 116)(57, 117)(58, 118)(59, 119)(60, 120)
	local type(s) :: { ( 2, 60, 2, 60, 2, 60 ), ( 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60 ) }
Outer automorphisms :: reflexible
Dual of E10.394
Graph:: bipartite
	v = 11 e = 60 f = 31
	degree seq :: [ 6^10, 60 ]

E10.394 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 30, 30})
Quotient :: dipole
Aut^+ = C30 (small group id <30, 4>)
Aut   = D60 (small group id <60, 12>)
|r| :: 2
Presentation :: [ Y2, R^2, Y3^3, (R * Y3)^2, (R * Y1)^2, (Y3^-1, Y1^-1), (R * Y2 * Y3^-1)^2, (Y3 * Y2^-1)^3, Y3^-1 * Y1^10, (Y1^-1 * Y3^-1)^30 ]
Map::
	R = (1, 31, 2, 32, 6, 36, 12, 42, 18, 48, 24, 54, 27, 57, 21, 51, 15, 45, 9, 39, 3, 33, 7, 37, 13, 43, 19, 49, 25, 55, 30, 60, 29, 59, 23, 53, 17, 47, 11, 41, 5, 35, 8, 38, 14, 44, 20, 50, 26, 56, 28, 58, 22, 52, 16, 46, 10, 40, 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, 65)(4, 69)(5, 61)(6, 73)(7, 68)(8, 62)(9, 71)(10, 75)(11, 64)(12, 79)(13, 74)(14, 66)(15, 77)(16, 81)(17, 70)(18, 85)(19, 80)(20, 72)(21, 83)(22, 87)(23, 76)(24, 90)(25, 86)(26, 78)(27, 89)(28, 84)(29, 82)(30, 88)(31, 91)(32, 92)(33, 93)(34, 94)(35, 95)(36, 96)(37, 97)(38, 98)(39, 99)(40, 100)(41, 101)(42, 102)(43, 103)(44, 104)(45, 105)(46, 106)(47, 107)(48, 108)(49, 109)(50, 110)(51, 111)(52, 112)(53, 113)(54, 114)(55, 115)(56, 116)(57, 117)(58, 118)(59, 119)(60, 120)
	local type(s) :: { ( 6, 60 ), ( 6, 60, 6, 60, 6, 60, 6, 60, 6, 60, 6, 60, 6, 60, 6, 60, 6, 60, 6, 60, 6, 60, 6, 60, 6, 60, 6, 60, 6, 60, 6, 60, 6, 60, 6, 60, 6, 60, 6, 60, 6, 60, 6, 60, 6, 60, 6, 60, 6, 60, 6, 60, 6, 60, 6, 60, 6, 60, 6, 60 ) }
Outer automorphisms :: reflexible
Dual of E10.393
Graph:: bipartite
	v = 31 e = 60 f = 11
	degree seq :: [ 2^30, 60 ]

E10.395 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {3, 11, 33})
Quotient :: edge
Aut^+ = C33 (small group id <33, 1>)
Aut   = D66 (small group id <66, 3>)
|r| :: 2
Presentation :: [ F^2, T1^3, (F * T2)^2, (F * T1)^2, (T2^-1, T1^-1), T2^11 ]
Map:: non-degenerate
	R = (1, 3, 8, 14, 20, 26, 29, 23, 17, 11, 5)(2, 6, 12, 18, 24, 30, 31, 25, 19, 13, 7)(4, 9, 15, 21, 27, 32, 33, 28, 22, 16, 10)(34, 35, 37)(36, 39, 42)(38, 40, 43)(41, 45, 48)(44, 46, 49)(47, 51, 54)(50, 52, 55)(53, 57, 60)(56, 58, 61)(59, 63, 65)(62, 64, 66)
	L = (1, 34)(2, 35)(3, 36)(4, 37)(5, 38)(6, 39)(7, 40)(8, 41)(9, 42)(10, 43)(11, 44)(12, 45)(13, 46)(14, 47)(15, 48)(16, 49)(17, 50)(18, 51)(19, 52)(20, 53)(21, 54)(22, 55)(23, 56)(24, 57)(25, 58)(26, 59)(27, 60)(28, 61)(29, 62)(30, 63)(31, 64)(32, 65)(33, 66)
	local type(s) :: { ( 66^3 ), ( 66^11 ) }
Outer automorphisms :: reflexible
Dual of E10.399
Transitivity :: ET+
Graph:: simple bipartite
	v = 14 e = 33 f = 1
	degree seq :: [ 3^11, 11^3 ]

E10.396 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {3, 11, 33})
Quotient :: edge
Aut^+ = C33 (small group id <33, 1>)
Aut   = D66 (small group id <66, 3>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, (T2^-1, T1^-1), T2^-3 * T1^-3, T2^-9 * T1^2, T1^2 * T2^-1 * T1 * T2^-1 * T1 * T2^-4 * T1, T1^11, T2^33 ]
Map:: non-degenerate
	R = (1, 3, 9, 19, 25, 31, 28, 24, 16, 6, 15, 12, 4, 10, 20, 26, 32, 29, 22, 18, 8, 2, 7, 17, 11, 21, 27, 33, 30, 23, 14, 13, 5)(34, 35, 39, 47, 55, 61, 66, 59, 52, 44, 37)(36, 40, 48, 46, 51, 57, 63, 65, 58, 54, 43)(38, 41, 49, 56, 62, 64, 60, 53, 42, 50, 45)
	L = (1, 34)(2, 35)(3, 36)(4, 37)(5, 38)(6, 39)(7, 40)(8, 41)(9, 42)(10, 43)(11, 44)(12, 45)(13, 46)(14, 47)(15, 48)(16, 49)(17, 50)(18, 51)(19, 52)(20, 53)(21, 54)(22, 55)(23, 56)(24, 57)(25, 58)(26, 59)(27, 60)(28, 61)(29, 62)(30, 63)(31, 64)(32, 65)(33, 66)
	local type(s) :: { ( 6^11 ), ( 6^33 ) }
Outer automorphisms :: reflexible
Dual of E10.400
Transitivity :: ET+
Graph:: bipartite
	v = 4 e = 33 f = 11
	degree seq :: [ 11^3, 33 ]

E10.397 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {3, 11, 33})
Quotient :: edge
Aut^+ = C33 (small group id <33, 1>)
Aut   = D66 (small group id <66, 3>)
|r| :: 2
Presentation :: [ F^2, T2^3, (F * T1)^2, (F * T2)^2, (T2^-1, T1^-1), T2 * T1^-11, (T1^-1 * T2^-1)^11 ]
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, 30, 33)(34, 35, 39, 45, 51, 57, 63, 60, 54, 48, 42, 36, 40, 46, 52, 58, 64, 66, 62, 56, 50, 44, 38, 41, 47, 53, 59, 65, 61, 55, 49, 43, 37)
	L = (1, 34)(2, 35)(3, 36)(4, 37)(5, 38)(6, 39)(7, 40)(8, 41)(9, 42)(10, 43)(11, 44)(12, 45)(13, 46)(14, 47)(15, 48)(16, 49)(17, 50)(18, 51)(19, 52)(20, 53)(21, 54)(22, 55)(23, 56)(24, 57)(25, 58)(26, 59)(27, 60)(28, 61)(29, 62)(30, 63)(31, 64)(32, 65)(33, 66)
	local type(s) :: { ( 22^3 ), ( 22^33 ) }
Outer automorphisms :: reflexible
Dual of E10.398
Transitivity :: ET+
Graph:: bipartite
	v = 12 e = 33 f = 3
	degree seq :: [ 3^11, 33 ]

E10.398 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {3, 11, 33})
Quotient :: loop
Aut^+ = C33 (small group id <33, 1>)
Aut   = D66 (small group id <66, 3>)
|r| :: 2
Presentation :: [ F^2, T1^3, (F * T2)^2, (F * T1)^2, (T2^-1, T1^-1), T2^11 ]
Map:: non-degenerate
	R = (1, 34, 3, 36, 8, 41, 14, 47, 20, 53, 26, 59, 29, 62, 23, 56, 17, 50, 11, 44, 5, 38)(2, 35, 6, 39, 12, 45, 18, 51, 24, 57, 30, 63, 31, 64, 25, 58, 19, 52, 13, 46, 7, 40)(4, 37, 9, 42, 15, 48, 21, 54, 27, 60, 32, 65, 33, 66, 28, 61, 22, 55, 16, 49, 10, 43)
	L = (1, 35)(2, 37)(3, 39)(4, 34)(5, 40)(6, 42)(7, 43)(8, 45)(9, 36)(10, 38)(11, 46)(12, 48)(13, 49)(14, 51)(15, 41)(16, 44)(17, 52)(18, 54)(19, 55)(20, 57)(21, 47)(22, 50)(23, 58)(24, 60)(25, 61)(26, 63)(27, 53)(28, 56)(29, 64)(30, 65)(31, 66)(32, 59)(33, 62)
	local type(s) :: { ( 3, 33, 3, 33, 3, 33, 3, 33, 3, 33, 3, 33, 3, 33, 3, 33, 3, 33, 3, 33, 3, 33 ) }
Outer automorphisms :: reflexible
Dual of E10.397
Transitivity :: ET+ VT+ AT
Graph::
	v = 3 e = 33 f = 12
	degree seq :: [ 22^3 ]

E10.399 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {3, 11, 33})
Quotient :: loop
Aut^+ = C33 (small group id <33, 1>)
Aut   = D66 (small group id <66, 3>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, (T2^-1, T1^-1), T2^-3 * T1^-3, T2^-9 * T1^2, T1^2 * T2^-1 * T1 * T2^-1 * T1 * T2^-4 * T1, T1^11, T2^33 ]
Map:: non-degenerate
	R = (1, 34, 3, 36, 9, 42, 19, 52, 25, 58, 31, 64, 28, 61, 24, 57, 16, 49, 6, 39, 15, 48, 12, 45, 4, 37, 10, 43, 20, 53, 26, 59, 32, 65, 29, 62, 22, 55, 18, 51, 8, 41, 2, 35, 7, 40, 17, 50, 11, 44, 21, 54, 27, 60, 33, 66, 30, 63, 23, 56, 14, 47, 13, 46, 5, 38)
	L = (1, 35)(2, 39)(3, 40)(4, 34)(5, 41)(6, 47)(7, 48)(8, 49)(9, 50)(10, 36)(11, 37)(12, 38)(13, 51)(14, 55)(15, 46)(16, 56)(17, 45)(18, 57)(19, 44)(20, 42)(21, 43)(22, 61)(23, 62)(24, 63)(25, 54)(26, 52)(27, 53)(28, 66)(29, 64)(30, 65)(31, 60)(32, 58)(33, 59)
	local type(s) :: { ( 3, 11, 3, 11, 3, 11, 3, 11, 3, 11, 3, 11, 3, 11, 3, 11, 3, 11, 3, 11, 3, 11, 3, 11, 3, 11, 3, 11, 3, 11, 3, 11, 3, 11, 3, 11, 3, 11, 3, 11, 3, 11, 3, 11, 3, 11, 3, 11, 3, 11, 3, 11, 3, 11, 3, 11, 3, 11, 3, 11, 3, 11, 3, 11, 3, 11 ) }
Outer automorphisms :: reflexible
Dual of E10.395
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 33 f = 14
	degree seq :: [ 66 ]

E10.400 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {3, 11, 33})
Quotient :: loop
Aut^+ = C33 (small group id <33, 1>)
Aut   = D66 (small group id <66, 3>)
|r| :: 2
Presentation :: [ F^2, T2^3, (F * T1)^2, (F * T2)^2, (T2^-1, T1^-1), T2 * T1^-11, (T1^-1 * T2^-1)^11 ]
Map:: non-degenerate
	R = (1, 34, 3, 36, 5, 38)(2, 35, 7, 40, 8, 41)(4, 37, 9, 42, 11, 44)(6, 39, 13, 46, 14, 47)(10, 43, 15, 48, 17, 50)(12, 45, 19, 52, 20, 53)(16, 49, 21, 54, 23, 56)(18, 51, 25, 58, 26, 59)(22, 55, 27, 60, 29, 62)(24, 57, 31, 64, 32, 65)(28, 61, 30, 63, 33, 66)
	L = (1, 35)(2, 39)(3, 40)(4, 34)(5, 41)(6, 45)(7, 46)(8, 47)(9, 36)(10, 37)(11, 38)(12, 51)(13, 52)(14, 53)(15, 42)(16, 43)(17, 44)(18, 57)(19, 58)(20, 59)(21, 48)(22, 49)(23, 50)(24, 63)(25, 64)(26, 65)(27, 54)(28, 55)(29, 56)(30, 60)(31, 66)(32, 61)(33, 62)
	local type(s) :: { ( 11, 33, 11, 33, 11, 33 ) }
Outer automorphisms :: reflexible
Dual of E10.396
Transitivity :: ET+ VT+ AT
Graph::
	v = 11 e = 33 f = 4
	degree seq :: [ 6^11 ]

E10.401 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 11, 33})
Quotient :: dipole
Aut^+ = C33 (small group id <33, 1>)
Aut   = D66 (small group id <66, 3>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1^-1, Y1^3, (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, (Y3^-1, Y2^-1), (Y2, Y1^-1), Y2^11, Y3^33 ]
Map::
	R = (1, 34, 2, 35, 4, 37)(3, 36, 6, 39, 9, 42)(5, 38, 7, 40, 10, 43)(8, 41, 12, 45, 15, 48)(11, 44, 13, 46, 16, 49)(14, 47, 18, 51, 21, 54)(17, 50, 19, 52, 22, 55)(20, 53, 24, 57, 27, 60)(23, 56, 25, 58, 28, 61)(26, 59, 30, 63, 32, 65)(29, 62, 31, 64, 33, 66)(67, 100, 69, 102, 74, 107, 80, 113, 86, 119, 92, 125, 95, 128, 89, 122, 83, 116, 77, 110, 71, 104)(68, 101, 72, 105, 78, 111, 84, 117, 90, 123, 96, 129, 97, 130, 91, 124, 85, 118, 79, 112, 73, 106)(70, 103, 75, 108, 81, 114, 87, 120, 93, 126, 98, 131, 99, 132, 94, 127, 88, 121, 82, 115, 76, 109)
	L = (1, 70)(2, 67)(3, 75)(4, 68)(5, 76)(6, 69)(7, 71)(8, 81)(9, 72)(10, 73)(11, 82)(12, 74)(13, 77)(14, 87)(15, 78)(16, 79)(17, 88)(18, 80)(19, 83)(20, 93)(21, 84)(22, 85)(23, 94)(24, 86)(25, 89)(26, 98)(27, 90)(28, 91)(29, 99)(30, 92)(31, 95)(32, 96)(33, 97)(34, 100)(35, 101)(36, 102)(37, 103)(38, 104)(39, 105)(40, 106)(41, 107)(42, 108)(43, 109)(44, 110)(45, 111)(46, 112)(47, 113)(48, 114)(49, 115)(50, 116)(51, 117)(52, 118)(53, 119)(54, 120)(55, 121)(56, 122)(57, 123)(58, 124)(59, 125)(60, 126)(61, 127)(62, 128)(63, 129)(64, 130)(65, 131)(66, 132)
	local type(s) :: { ( 2, 66, 2, 66, 2, 66 ), ( 2, 66, 2, 66, 2, 66, 2, 66, 2, 66, 2, 66, 2, 66, 2, 66, 2, 66, 2, 66, 2, 66 ) }
Outer automorphisms :: reflexible
Dual of E10.404
Graph:: bipartite
	v = 14 e = 66 f = 34
	degree seq :: [ 6^11, 22^3 ]

E10.402 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 11, 33})
Quotient :: dipole
Aut^+ = C33 (small group id <33, 1>)
Aut   = D66 (small group id <66, 3>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y2^-1, (R * Y1)^2, R * Y2 * R * Y3, (Y1, Y2^-1), Y1^3 * Y2^3, (Y3^-1 * Y1^-1)^3, Y2^9 * Y1^-2, Y1^3 * Y2^-1 * Y1 * Y2^-5 * Y1, Y1^11 ]
Map::
	R = (1, 34, 2, 35, 6, 39, 14, 47, 22, 55, 28, 61, 33, 66, 26, 59, 19, 52, 11, 44, 4, 37)(3, 36, 7, 40, 15, 48, 13, 46, 18, 51, 24, 57, 30, 63, 32, 65, 25, 58, 21, 54, 10, 43)(5, 38, 8, 41, 16, 49, 23, 56, 29, 62, 31, 64, 27, 60, 20, 53, 9, 42, 17, 50, 12, 45)(67, 100, 69, 102, 75, 108, 85, 118, 91, 124, 97, 130, 94, 127, 90, 123, 82, 115, 72, 105, 81, 114, 78, 111, 70, 103, 76, 109, 86, 119, 92, 125, 98, 131, 95, 128, 88, 121, 84, 117, 74, 107, 68, 101, 73, 106, 83, 116, 77, 110, 87, 120, 93, 126, 99, 132, 96, 129, 89, 122, 80, 113, 79, 112, 71, 104)
	L = (1, 69)(2, 73)(3, 75)(4, 76)(5, 67)(6, 81)(7, 83)(8, 68)(9, 85)(10, 86)(11, 87)(12, 70)(13, 71)(14, 79)(15, 78)(16, 72)(17, 77)(18, 74)(19, 91)(20, 92)(21, 93)(22, 84)(23, 80)(24, 82)(25, 97)(26, 98)(27, 99)(28, 90)(29, 88)(30, 89)(31, 94)(32, 95)(33, 96)(34, 100)(35, 101)(36, 102)(37, 103)(38, 104)(39, 105)(40, 106)(41, 107)(42, 108)(43, 109)(44, 110)(45, 111)(46, 112)(47, 113)(48, 114)(49, 115)(50, 116)(51, 117)(52, 118)(53, 119)(54, 120)(55, 121)(56, 122)(57, 123)(58, 124)(59, 125)(60, 126)(61, 127)(62, 128)(63, 129)(64, 130)(65, 131)(66, 132)
	local type(s) :: { ( 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6 ), ( 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 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 E10.403
Graph:: bipartite
	v = 4 e = 66 f = 44
	degree seq :: [ 22^3, 66 ]

E10.403 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 11, 33})
Quotient :: dipole
Aut^+ = C33 (small group id <33, 1>)
Aut   = D66 (small group id <66, 3>)
|r| :: 2
Presentation :: [ Y1, R^2, Y2^3, (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, (Y2, Y3^-1), Y2^-1 * Y3^-11, Y3^2 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3^2, (Y3^-1 * Y1^-1)^33 ]
Map::
	R = (1, 34)(2, 35)(3, 36)(4, 37)(5, 38)(6, 39)(7, 40)(8, 41)(9, 42)(10, 43)(11, 44)(12, 45)(13, 46)(14, 47)(15, 48)(16, 49)(17, 50)(18, 51)(19, 52)(20, 53)(21, 54)(22, 55)(23, 56)(24, 57)(25, 58)(26, 59)(27, 60)(28, 61)(29, 62)(30, 63)(31, 64)(32, 65)(33, 66)(67, 100, 68, 101, 70, 103)(69, 102, 72, 105, 75, 108)(71, 104, 73, 106, 76, 109)(74, 107, 78, 111, 81, 114)(77, 110, 79, 112, 82, 115)(80, 113, 84, 117, 87, 120)(83, 116, 85, 118, 88, 121)(86, 119, 90, 123, 93, 126)(89, 122, 91, 124, 94, 127)(92, 125, 96, 129, 99, 132)(95, 128, 97, 130, 98, 131)
	L = (1, 69)(2, 72)(3, 74)(4, 75)(5, 67)(6, 78)(7, 68)(8, 80)(9, 81)(10, 70)(11, 71)(12, 84)(13, 73)(14, 86)(15, 87)(16, 76)(17, 77)(18, 90)(19, 79)(20, 92)(21, 93)(22, 82)(23, 83)(24, 96)(25, 85)(26, 98)(27, 99)(28, 88)(29, 89)(30, 95)(31, 91)(32, 94)(33, 97)(34, 100)(35, 101)(36, 102)(37, 103)(38, 104)(39, 105)(40, 106)(41, 107)(42, 108)(43, 109)(44, 110)(45, 111)(46, 112)(47, 113)(48, 114)(49, 115)(50, 116)(51, 117)(52, 118)(53, 119)(54, 120)(55, 121)(56, 122)(57, 123)(58, 124)(59, 125)(60, 126)(61, 127)(62, 128)(63, 129)(64, 130)(65, 131)(66, 132)
	local type(s) :: { ( 22, 66 ), ( 22, 66, 22, 66, 22, 66 ) }
Outer automorphisms :: reflexible
Dual of E10.402
Graph:: simple bipartite
	v = 44 e = 66 f = 4
	degree seq :: [ 2^33, 6^11 ]

E10.404 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 11, 33})
Quotient :: dipole
Aut^+ = C33 (small group id <33, 1>)
Aut   = D66 (small group id <66, 3>)
|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^-11, (Y1^-1 * Y3^-1)^11 ]
Map::
	R = (1, 34, 2, 35, 6, 39, 12, 45, 18, 51, 24, 57, 30, 63, 27, 60, 21, 54, 15, 48, 9, 42, 3, 36, 7, 40, 13, 46, 19, 52, 25, 58, 31, 64, 33, 66, 29, 62, 23, 56, 17, 50, 11, 44, 5, 38, 8, 41, 14, 47, 20, 53, 26, 59, 32, 65, 28, 61, 22, 55, 16, 49, 10, 43, 4, 37)(67, 100)(68, 101)(69, 102)(70, 103)(71, 104)(72, 105)(73, 106)(74, 107)(75, 108)(76, 109)(77, 110)(78, 111)(79, 112)(80, 113)(81, 114)(82, 115)(83, 116)(84, 117)(85, 118)(86, 119)(87, 120)(88, 121)(89, 122)(90, 123)(91, 124)(92, 125)(93, 126)(94, 127)(95, 128)(96, 129)(97, 130)(98, 131)(99, 132)
	L = (1, 69)(2, 73)(3, 71)(4, 75)(5, 67)(6, 79)(7, 74)(8, 68)(9, 77)(10, 81)(11, 70)(12, 85)(13, 80)(14, 72)(15, 83)(16, 87)(17, 76)(18, 91)(19, 86)(20, 78)(21, 89)(22, 93)(23, 82)(24, 97)(25, 92)(26, 84)(27, 95)(28, 96)(29, 88)(30, 99)(31, 98)(32, 90)(33, 94)(34, 100)(35, 101)(36, 102)(37, 103)(38, 104)(39, 105)(40, 106)(41, 107)(42, 108)(43, 109)(44, 110)(45, 111)(46, 112)(47, 113)(48, 114)(49, 115)(50, 116)(51, 117)(52, 118)(53, 119)(54, 120)(55, 121)(56, 122)(57, 123)(58, 124)(59, 125)(60, 126)(61, 127)(62, 128)(63, 129)(64, 130)(65, 131)(66, 132)
	local type(s) :: { ( 6, 22 ), ( 6, 22, 6, 22, 6, 22, 6, 22, 6, 22, 6, 22, 6, 22, 6, 22, 6, 22, 6, 22, 6, 22, 6, 22, 6, 22, 6, 22, 6, 22, 6, 22, 6, 22, 6, 22, 6, 22, 6, 22, 6, 22, 6, 22, 6, 22, 6, 22, 6, 22, 6, 22, 6, 22, 6, 22, 6, 22, 6, 22, 6, 22, 6, 22, 6, 22 ) }
Outer automorphisms :: reflexible
Dual of E10.401
Graph:: bipartite
	v = 34 e = 66 f = 14
	degree seq :: [ 2^33, 66 ]

E10.405 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 11, 33})
Quotient :: dipole
Aut^+ = C33 (small group id <33, 1>)
Aut   = D66 (small group id <66, 3>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1^-1, Y1^3, (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, (Y3^-1, Y2^-1), (Y2, Y1^-1), Y2^11 * 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 ]
Map::
	R = (1, 34, 2, 35, 4, 37)(3, 36, 6, 39, 9, 42)(5, 38, 7, 40, 10, 43)(8, 41, 12, 45, 15, 48)(11, 44, 13, 46, 16, 49)(14, 47, 18, 51, 21, 54)(17, 50, 19, 52, 22, 55)(20, 53, 24, 57, 27, 60)(23, 56, 25, 58, 28, 61)(26, 59, 30, 63, 32, 65)(29, 62, 31, 64, 33, 66)(67, 100, 69, 102, 74, 107, 80, 113, 86, 119, 92, 125, 97, 130, 91, 124, 85, 118, 79, 112, 73, 106, 68, 101, 72, 105, 78, 111, 84, 117, 90, 123, 96, 129, 99, 132, 94, 127, 88, 121, 82, 115, 76, 109, 70, 103, 75, 108, 81, 114, 87, 120, 93, 126, 98, 131, 95, 128, 89, 122, 83, 116, 77, 110, 71, 104)
	L = (1, 70)(2, 67)(3, 75)(4, 68)(5, 76)(6, 69)(7, 71)(8, 81)(9, 72)(10, 73)(11, 82)(12, 74)(13, 77)(14, 87)(15, 78)(16, 79)(17, 88)(18, 80)(19, 83)(20, 93)(21, 84)(22, 85)(23, 94)(24, 86)(25, 89)(26, 98)(27, 90)(28, 91)(29, 99)(30, 92)(31, 95)(32, 96)(33, 97)(34, 100)(35, 101)(36, 102)(37, 103)(38, 104)(39, 105)(40, 106)(41, 107)(42, 108)(43, 109)(44, 110)(45, 111)(46, 112)(47, 113)(48, 114)(49, 115)(50, 116)(51, 117)(52, 118)(53, 119)(54, 120)(55, 121)(56, 122)(57, 123)(58, 124)(59, 125)(60, 126)(61, 127)(62, 128)(63, 129)(64, 130)(65, 131)(66, 132)
	local type(s) :: { ( 2, 22, 2, 22, 2, 22 ), ( 2, 22, 2, 22, 2, 22, 2, 22, 2, 22, 2, 22, 2, 22, 2, 22, 2, 22, 2, 22, 2, 22, 2, 22, 2, 22, 2, 22, 2, 22, 2, 22, 2, 22, 2, 22, 2, 22, 2, 22, 2, 22, 2, 22, 2, 22, 2, 22, 2, 22, 2, 22, 2, 22, 2, 22, 2, 22, 2, 22, 2, 22, 2, 22, 2, 22 ) }
Outer automorphisms :: reflexible
Dual of E10.406
Graph:: bipartite
	v = 12 e = 66 f = 36
	degree seq :: [ 6^11, 66 ]

E10.406 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 11, 33})
Quotient :: dipole
Aut^+ = C33 (small group id <33, 1>)
Aut   = D66 (small group id <66, 3>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y1)^2, (R * Y3)^2, (Y3^-1, Y1^-1), Y3^-3 * Y1^-3, (R * Y2 * Y3^-1)^2, Y3^-9 * Y1^2, Y1^3 * Y3^-1 * Y1 * Y3^-5 * Y1, Y1^11, (Y3 * Y2^-1)^33 ]
Map::
	R = (1, 34, 2, 35, 6, 39, 14, 47, 22, 55, 28, 61, 33, 66, 26, 59, 19, 52, 11, 44, 4, 37)(3, 36, 7, 40, 15, 48, 13, 46, 18, 51, 24, 57, 30, 63, 32, 65, 25, 58, 21, 54, 10, 43)(5, 38, 8, 41, 16, 49, 23, 56, 29, 62, 31, 64, 27, 60, 20, 53, 9, 42, 17, 50, 12, 45)(67, 100)(68, 101)(69, 102)(70, 103)(71, 104)(72, 105)(73, 106)(74, 107)(75, 108)(76, 109)(77, 110)(78, 111)(79, 112)(80, 113)(81, 114)(82, 115)(83, 116)(84, 117)(85, 118)(86, 119)(87, 120)(88, 121)(89, 122)(90, 123)(91, 124)(92, 125)(93, 126)(94, 127)(95, 128)(96, 129)(97, 130)(98, 131)(99, 132)
	L = (1, 69)(2, 73)(3, 75)(4, 76)(5, 67)(6, 81)(7, 83)(8, 68)(9, 85)(10, 86)(11, 87)(12, 70)(13, 71)(14, 79)(15, 78)(16, 72)(17, 77)(18, 74)(19, 91)(20, 92)(21, 93)(22, 84)(23, 80)(24, 82)(25, 97)(26, 98)(27, 99)(28, 90)(29, 88)(30, 89)(31, 94)(32, 95)(33, 96)(34, 100)(35, 101)(36, 102)(37, 103)(38, 104)(39, 105)(40, 106)(41, 107)(42, 108)(43, 109)(44, 110)(45, 111)(46, 112)(47, 113)(48, 114)(49, 115)(50, 116)(51, 117)(52, 118)(53, 119)(54, 120)(55, 121)(56, 122)(57, 123)(58, 124)(59, 125)(60, 126)(61, 127)(62, 128)(63, 129)(64, 130)(65, 131)(66, 132)
	local type(s) :: { ( 6, 66 ), ( 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66 ) }
Outer automorphisms :: reflexible
Dual of E10.405
Graph:: simple bipartite
	v = 36 e = 66 f = 12
	degree seq :: [ 2^33, 22^3 ]

E10.407 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 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, Y1 * Y3 * Y2, Y1^3, R * Y1 * R * Y2, (R * Y3)^2, (Y1^-1 * Y3^-1 * Y2^-1)^2 ]
Map:: polytopal non-degenerate
	R = (1, 37, 4, 40, 7, 43)(2, 38, 6, 42, 10, 46)(3, 39, 11, 47, 13, 49)(5, 41, 9, 45, 17, 53)(8, 44, 20, 56, 22, 58)(12, 48, 19, 55, 28, 64)(14, 50, 16, 52, 32, 68)(15, 51, 31, 67, 33, 69)(18, 54, 29, 65, 30, 66)(21, 57, 24, 60, 35, 71)(23, 59, 36, 72, 26, 62)(25, 61, 27, 63, 34, 70)(73, 74, 77)(75, 79, 84)(76, 86, 87)(78, 85, 90)(80, 82, 93)(81, 94, 95)(83, 97, 98)(88, 89, 106)(91, 105, 92)(96, 102, 104)(99, 100, 107)(101, 108, 103)(109, 111, 114)(110, 116, 117)(112, 113, 124)(115, 123, 127)(118, 126, 132)(119, 120, 135)(121, 134, 137)(122, 138, 139)(125, 131, 133)(128, 129, 136)(130, 141, 144)(140, 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) :: { ( 8^3 ), ( 8^6 ) }
Outer automorphisms :: reflexible
Dual of E10.410
Graph:: simple bipartite
	v = 36 e = 72 f = 18
	degree seq :: [ 3^24, 6^12 ]

E10.408 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 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, Y3^2, Y2^3, Y1^3, (Y1^-1, Y2^-1), (R * Y3)^2, R * Y1 * R * Y2, (Y3 * Y2^-1)^3, Y3 * Y1^-1 * Y2 * Y3 * Y2^-1 * Y1, (Y3 * Y1^-1)^3, (Y3 * Y2^-1)^3 ]
Map:: polytopal 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, 27, 63)(12, 48, 29, 65)(13, 49, 30, 66)(14, 50, 20, 56)(15, 51, 25, 61)(17, 53, 35, 71)(21, 57, 28, 64)(22, 58, 32, 68)(23, 59, 36, 72)(26, 62, 33, 69)(31, 67, 34, 70)(73, 74, 77)(75, 79, 83)(76, 84, 86)(78, 81, 89)(80, 92, 94)(82, 93, 98)(85, 100, 99)(87, 96, 103)(88, 104, 101)(90, 108, 106)(91, 105, 102)(95, 107, 97)(109, 111, 114)(110, 115, 117)(112, 121, 123)(113, 119, 125)(116, 129, 131)(118, 133, 130)(120, 136, 132)(122, 135, 139)(124, 141, 142)(126, 140, 138)(127, 144, 137)(128, 134, 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) :: { ( 12^3 ), ( 12^4 ) }
Outer automorphisms :: reflexible
Dual of E10.409
Graph:: simple bipartite
	v = 42 e = 72 f = 12
	degree seq :: [ 3^24, 4^18 ]

E10.409 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 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, Y1 * Y3 * Y2, Y1^3, R * Y1 * R * Y2, (R * Y3)^2, (Y1^-1 * Y3^-1 * Y2^-1)^2 ]
Map:: polytopal non-degenerate
	R = (1, 37, 73, 109, 4, 40, 76, 112, 7, 43, 79, 115)(2, 38, 74, 110, 6, 42, 78, 114, 10, 46, 82, 118)(3, 39, 75, 111, 11, 47, 83, 119, 13, 49, 85, 121)(5, 41, 77, 113, 9, 45, 81, 117, 17, 53, 89, 125)(8, 44, 80, 116, 20, 56, 92, 128, 22, 58, 94, 130)(12, 48, 84, 120, 19, 55, 91, 127, 28, 64, 100, 136)(14, 50, 86, 122, 16, 52, 88, 124, 32, 68, 104, 140)(15, 51, 87, 123, 31, 67, 103, 139, 33, 69, 105, 141)(18, 54, 90, 126, 29, 65, 101, 137, 30, 66, 102, 138)(21, 57, 93, 129, 24, 60, 96, 132, 35, 71, 107, 143)(23, 59, 95, 131, 36, 72, 108, 144, 26, 62, 98, 134)(25, 61, 97, 133, 27, 63, 99, 135, 34, 70, 106, 142)
	L = (1, 38)(2, 41)(3, 43)(4, 50)(5, 37)(6, 49)(7, 48)(8, 46)(9, 58)(10, 57)(11, 61)(12, 39)(13, 54)(14, 51)(15, 40)(16, 53)(17, 70)(18, 42)(19, 69)(20, 55)(21, 44)(22, 59)(23, 45)(24, 66)(25, 62)(26, 47)(27, 64)(28, 71)(29, 72)(30, 68)(31, 65)(32, 60)(33, 56)(34, 52)(35, 63)(36, 67)(73, 111)(74, 116)(75, 114)(76, 113)(77, 124)(78, 109)(79, 123)(80, 117)(81, 110)(82, 126)(83, 120)(84, 135)(85, 134)(86, 138)(87, 127)(88, 112)(89, 131)(90, 132)(91, 115)(92, 129)(93, 136)(94, 141)(95, 133)(96, 118)(97, 125)(98, 137)(99, 119)(100, 128)(101, 121)(102, 139)(103, 122)(104, 142)(105, 144)(106, 143)(107, 140)(108, 130)
	local type(s) :: { ( 3, 4, 3, 4, 3, 4, 3, 4, 3, 4, 3, 4 ) }
Outer automorphisms :: reflexible
Dual of E10.408
Transitivity :: VT+
Graph::
	v = 12 e = 72 f = 42
	degree seq :: [ 12^12 ]

E10.410 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 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, Y3^2, Y2^3, Y1^3, (Y1^-1, Y2^-1), (R * Y3)^2, R * Y1 * R * Y2, (Y3 * Y2^-1)^3, Y3 * Y1^-1 * Y2 * Y3 * Y2^-1 * Y1, (Y3 * Y1^-1)^3, (Y3 * Y2^-1)^3 ]
Map:: polytopal 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, 27, 63, 99, 135)(12, 48, 84, 120, 29, 65, 101, 137)(13, 49, 85, 121, 30, 66, 102, 138)(14, 50, 86, 122, 20, 56, 92, 128)(15, 51, 87, 123, 25, 61, 97, 133)(17, 53, 89, 125, 35, 71, 107, 143)(21, 57, 93, 129, 28, 64, 100, 136)(22, 58, 94, 130, 32, 68, 104, 140)(23, 59, 95, 131, 36, 72, 108, 144)(26, 62, 98, 134, 33, 69, 105, 141)(31, 67, 103, 139, 34, 70, 106, 142)
	L = (1, 38)(2, 41)(3, 43)(4, 48)(5, 37)(6, 45)(7, 47)(8, 56)(9, 53)(10, 57)(11, 39)(12, 50)(13, 64)(14, 40)(15, 60)(16, 68)(17, 42)(18, 72)(19, 69)(20, 58)(21, 62)(22, 44)(23, 71)(24, 67)(25, 59)(26, 46)(27, 49)(28, 63)(29, 52)(30, 55)(31, 51)(32, 65)(33, 66)(34, 54)(35, 61)(36, 70)(73, 111)(74, 115)(75, 114)(76, 121)(77, 119)(78, 109)(79, 117)(80, 129)(81, 110)(82, 133)(83, 125)(84, 136)(85, 123)(86, 135)(87, 112)(88, 141)(89, 113)(90, 140)(91, 144)(92, 134)(93, 131)(94, 118)(95, 116)(96, 120)(97, 130)(98, 143)(99, 139)(100, 132)(101, 127)(102, 126)(103, 122)(104, 138)(105, 142)(106, 124)(107, 128)(108, 137)
	local type(s) :: { ( 3, 6, 3, 6, 3, 6, 3, 6 ) }
Outer automorphisms :: reflexible
Dual of E10.407
Transitivity :: VT+
Graph:: simple
	v = 18 e = 72 f = 36
	degree seq :: [ 8^18 ]

E10.411 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 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 :: [ Y1^2, R^2, Y2^3, Y3^3, (Y3, Y2), (R * Y3)^2, (R * Y2)^2, (R * Y1)^2, Y3^-1 * Y1 * Y3 * Y2^-1 * Y1 * Y2, Y2 * Y1 * Y2^-1 * Y3 * Y1 * Y3^-1, (Y3^-1 * Y1)^3, (Y2 * Y1)^3 ]
Map:: polytopal non-degenerate
	R = (1, 37, 2, 38)(3, 39, 11, 47)(4, 40, 14, 50)(5, 41, 16, 52)(6, 42, 18, 54)(7, 43, 19, 55)(8, 44, 22, 58)(9, 45, 24, 60)(10, 46, 26, 62)(12, 48, 30, 66)(13, 49, 21, 57)(15, 51, 23, 59)(17, 53, 35, 71)(20, 56, 27, 63)(25, 61, 34, 70)(28, 64, 32, 68)(29, 65, 36, 72)(31, 67, 33, 69)(73, 109, 75, 111, 77, 113)(74, 110, 79, 115, 81, 117)(76, 112, 84, 120, 87, 123)(78, 114, 85, 121, 89, 125)(80, 116, 92, 128, 95, 131)(82, 118, 93, 129, 97, 133)(83, 119, 96, 132, 100, 136)(86, 122, 99, 135, 103, 139)(88, 124, 104, 140, 91, 127)(90, 126, 108, 144, 106, 142)(94, 130, 102, 138, 105, 141)(98, 134, 101, 137, 107, 143)
	L = (1, 76)(2, 80)(3, 84)(4, 78)(5, 87)(6, 73)(7, 92)(8, 82)(9, 95)(10, 74)(11, 99)(12, 85)(13, 75)(14, 98)(15, 89)(16, 105)(17, 77)(18, 104)(19, 102)(20, 93)(21, 79)(22, 90)(23, 97)(24, 103)(25, 81)(26, 100)(27, 101)(28, 86)(29, 83)(30, 108)(31, 107)(32, 94)(33, 106)(34, 88)(35, 96)(36, 91)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 6^4 ), ( 6^6 ) }
Outer automorphisms :: reflexible
Dual of E10.413
Graph:: simple bipartite
	v = 30 e = 72 f = 24
	degree seq :: [ 4^18, 6^12 ]

E10.412 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 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 :: [ Y1^2, R^2, Y2^3, Y3^3, (Y2^-1, Y3^-1), (R * Y2)^2, (R * Y3)^2, (R * Y1)^2, Y2^-1 * Y1 * Y2 * Y3 * Y1 * Y3^-1, Y3^-1 * Y1 * Y3 * Y2 * Y1 * Y2^-1, (Y2 * Y1)^3, (Y3^-1 * Y1)^3 ]
Map:: polytopal non-degenerate
	R = (1, 37, 2, 38)(3, 39, 11, 47)(4, 40, 14, 50)(5, 41, 16, 52)(6, 42, 18, 54)(7, 43, 19, 55)(8, 44, 22, 58)(9, 45, 24, 60)(10, 46, 26, 62)(12, 48, 20, 56)(13, 49, 30, 66)(15, 51, 34, 70)(17, 53, 25, 61)(21, 57, 29, 65)(23, 59, 32, 68)(27, 63, 31, 67)(28, 64, 33, 69)(35, 71, 36, 72)(73, 109, 75, 111, 77, 113)(74, 110, 79, 115, 81, 117)(76, 112, 84, 120, 87, 123)(78, 114, 85, 121, 89, 125)(80, 116, 92, 128, 95, 131)(82, 118, 93, 129, 97, 133)(83, 119, 96, 132, 100, 136)(86, 122, 103, 139, 104, 140)(88, 124, 105, 141, 91, 127)(90, 126, 101, 137, 108, 144)(94, 130, 99, 135, 106, 142)(98, 134, 102, 138, 107, 143)
	L = (1, 76)(2, 80)(3, 84)(4, 78)(5, 87)(6, 73)(7, 92)(8, 82)(9, 95)(10, 74)(11, 99)(12, 85)(13, 75)(14, 98)(15, 89)(16, 104)(17, 77)(18, 100)(19, 103)(20, 93)(21, 79)(22, 90)(23, 97)(24, 106)(25, 81)(26, 105)(27, 101)(28, 94)(29, 83)(30, 91)(31, 102)(32, 107)(33, 86)(34, 108)(35, 88)(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) :: { ( 6^4 ), ( 6^6 ) }
Outer automorphisms :: reflexible
Dual of E10.414
Graph:: simple bipartite
	v = 30 e = 72 f = 24
	degree seq :: [ 4^18, 6^12 ]

E10.413 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 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 * Y1)^2, (R * Y3)^2, (Y3 * Y1)^2, (R * Y2)^2, (Y2^-1, Y1^-1) ]
Map:: polytopal non-degenerate
	R = (1, 37, 2, 38, 5, 41)(3, 39, 8, 44, 13, 49)(4, 40, 15, 51, 16, 52)(6, 42, 10, 46, 19, 55)(7, 43, 21, 57, 9, 45)(11, 47, 26, 62, 18, 54)(12, 48, 27, 63, 28, 64)(14, 50, 30, 66, 22, 58)(17, 53, 31, 67, 32, 68)(20, 56, 34, 70, 24, 60)(23, 59, 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, 89, 125)(77, 113, 85, 121, 91, 127)(79, 115, 86, 122, 92, 128)(81, 117, 94, 130, 96, 132)(83, 119, 95, 131, 97, 133)(87, 123, 99, 135, 103, 139)(88, 124, 100, 136, 104, 140)(90, 126, 101, 137, 105, 141)(93, 129, 102, 138, 106, 142)(98, 134, 107, 143, 108, 144)
	L = (1, 76)(2, 81)(3, 84)(4, 79)(5, 90)(6, 89)(7, 73)(8, 94)(9, 83)(10, 96)(11, 74)(12, 86)(13, 101)(14, 75)(15, 77)(16, 98)(17, 92)(18, 87)(19, 105)(20, 78)(21, 88)(22, 95)(23, 80)(24, 97)(25, 82)(26, 93)(27, 85)(28, 107)(29, 99)(30, 100)(31, 91)(32, 108)(33, 103)(34, 104)(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) :: { ( 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible
Dual of E10.411
Graph:: simple bipartite
	v = 24 e = 72 f = 30
	degree seq :: [ 6^24 ]

E10.414 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 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 * Y3)^2, (R * Y1)^2, (Y3 * Y1)^2, (Y2 * R)^2, Y3^-1 * Y2 * Y1 * Y2^-1 * Y1, (Y1^-1 * Y2^-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, 23, 59)(7, 43, 25, 61, 9, 45)(8, 44, 26, 62, 28, 64)(10, 46, 18, 54, 30, 66)(11, 47, 32, 68, 20, 56)(13, 49, 27, 63, 35, 71)(15, 51, 19, 55, 34, 70)(21, 57, 29, 65, 33, 69)(24, 60, 31, 67, 36, 72)(73, 109, 75, 111, 78, 114)(74, 110, 80, 116, 82, 118)(76, 112, 85, 121, 90, 126)(77, 113, 91, 127, 93, 129)(79, 115, 87, 123, 96, 132)(81, 117, 99, 135, 101, 137)(83, 119, 86, 122, 103, 139)(84, 120, 105, 141, 89, 125)(88, 124, 100, 136, 108, 144)(92, 128, 107, 143, 94, 130)(95, 131, 97, 133, 98, 134)(102, 138, 104, 140, 106, 142)
	L = (1, 76)(2, 81)(3, 85)(4, 79)(5, 92)(6, 90)(7, 73)(8, 99)(9, 83)(10, 101)(11, 74)(12, 106)(13, 87)(14, 80)(15, 75)(16, 77)(17, 104)(18, 96)(19, 107)(20, 88)(21, 94)(22, 108)(23, 105)(24, 78)(25, 89)(26, 84)(27, 86)(28, 91)(29, 103)(30, 95)(31, 82)(32, 97)(33, 102)(34, 98)(35, 100)(36, 93)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible
Dual of E10.412
Graph:: simple bipartite
	v = 24 e = 72 f = 30
	degree seq :: [ 6^24 ]

E10.415 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 4, 4})
Quotient :: halfedge^2
Aut^+ = (C3 x C3) : C4 (small group id <36, 9>)
Aut   = (S3 x S3) : C2 (small group id <72, 40>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, R * Y3 * R * Y2, (R * Y1)^2, Y1^4, Y1^-1 * Y3 * Y2 * Y3 * Y1^-1, Y1^-1 * Y2 * Y3 * Y2 * Y1^-1, (Y1 * Y2)^4 ]
Map:: polytopal non-degenerate
	R = (1, 38, 2, 42, 6, 41, 5, 37)(3, 45, 9, 49, 13, 47, 11, 39)(4, 48, 12, 46, 10, 50, 14, 40)(7, 53, 17, 52, 16, 54, 18, 43)(8, 55, 19, 51, 15, 56, 20, 44)(21, 69, 33, 60, 24, 72, 36, 57)(22, 65, 29, 59, 23, 68, 32, 58)(25, 70, 34, 64, 28, 71, 35, 61)(26, 66, 30, 63, 27, 67, 31, 62)
	L = (1, 3)(2, 7)(4, 13)(5, 15)(6, 10)(8, 16)(9, 21)(11, 23)(12, 25)(14, 27)(17, 29)(18, 31)(19, 33)(20, 35)(22, 24)(26, 28)(30, 32)(34, 36)(37, 40)(38, 44)(39, 46)(41, 52)(42, 49)(43, 51)(45, 58)(47, 60)(48, 62)(50, 64)(53, 66)(54, 68)(55, 70)(56, 72)(57, 59)(61, 63)(65, 67)(69, 71)
	local type(s) :: { ( 8^8 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+ AT
Graph::
	v = 9 e = 36 f = 9
	degree seq :: [ 8^9 ]

E10.416 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 4, 4})
Quotient :: halfedge^2
Aut^+ = (C3 x C3) : C4 (small group id <36, 9>)
Aut   = (S3 x S3) : C2 (small group id <72, 40>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, Y3 * Y2, Y1^4, (R * Y1)^2, R * Y2 * R * Y3, (Y2 * Y1)^4, Y1^-2 * Y2 * Y1^2 * Y2 * Y1^-2 * Y2 ]
Map::
	R = (1, 38, 2, 41, 5, 40, 4, 37)(3, 43, 7, 49, 13, 44, 8, 39)(6, 47, 11, 56, 20, 48, 12, 42)(9, 52, 16, 63, 27, 53, 17, 45)(10, 54, 18, 59, 23, 55, 19, 46)(14, 60, 24, 69, 33, 61, 25, 50)(15, 62, 26, 67, 31, 57, 21, 51)(22, 68, 32, 71, 35, 65, 29, 58)(28, 66, 30, 70, 34, 72, 36, 64)
	L = (1, 3)(2, 6)(4, 9)(5, 10)(7, 14)(8, 15)(11, 21)(12, 22)(13, 23)(16, 28)(17, 24)(18, 29)(19, 30)(20, 27)(25, 34)(26, 35)(31, 33)(32, 36)(37, 39)(38, 42)(40, 45)(41, 46)(43, 50)(44, 51)(47, 57)(48, 58)(49, 59)(52, 64)(53, 60)(54, 65)(55, 66)(56, 63)(61, 70)(62, 71)(67, 69)(68, 72)
	local type(s) :: { ( 8^8 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+ AT
Graph::
	v = 9 e = 36 f = 9
	degree seq :: [ 8^9 ]

E10.417 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 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 :: [ Y1^2, Y2^2, R^2, (R * Y3)^2, R * Y1 * R * Y2, Y3^4, Y3^-1 * Y1 * Y2 * Y1 * Y3^-1, Y3^-1 * Y2 * Y1 * Y2 * Y3^-1, (Y3 * Y2)^4 ]
Map:: polytopal
	R = (1, 37, 4, 40, 14, 50, 5, 41)(2, 38, 7, 43, 9, 45, 8, 44)(3, 39, 10, 46, 6, 42, 11, 47)(12, 48, 25, 61, 16, 52, 26, 62)(13, 49, 27, 63, 15, 51, 28, 64)(17, 53, 29, 65, 20, 56, 30, 66)(18, 54, 31, 67, 19, 55, 32, 68)(21, 57, 33, 69, 24, 60, 34, 70)(22, 58, 35, 71, 23, 59, 36, 72)(73, 74)(75, 81)(76, 84)(77, 87)(78, 86)(79, 89)(80, 91)(82, 93)(83, 95)(85, 88)(90, 92)(94, 96)(97, 103)(98, 108)(99, 101)(100, 106)(102, 105)(104, 107)(109, 111)(110, 114)(112, 121)(113, 124)(115, 126)(116, 128)(117, 122)(118, 130)(119, 132)(120, 123)(125, 127)(129, 131)(133, 143)(134, 140)(135, 141)(136, 138)(137, 142)(139, 144)
	L = (1, 73)(2, 74)(3, 75)(4, 76)(5, 77)(6, 78)(7, 79)(8, 80)(9, 81)(10, 82)(11, 83)(12, 84)(13, 85)(14, 86)(15, 87)(16, 88)(17, 89)(18, 90)(19, 91)(20, 92)(21, 93)(22, 94)(23, 95)(24, 96)(25, 97)(26, 98)(27, 99)(28, 100)(29, 101)(30, 102)(31, 103)(32, 104)(33, 105)(34, 106)(35, 107)(36, 108)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 16, 16 ), ( 16^8 ) }
Outer automorphisms :: reflexible
Dual of E10.420
Graph:: simple bipartite
	v = 45 e = 72 f = 9
	degree seq :: [ 2^36, 8^9 ]

E10.418 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 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 :: [ Y1^2, Y2^2, R^2, Y2 * Y1, Y3^4, (R * Y3)^2, R * Y1 * R * Y2, (Y1 * Y3)^4, Y3 * Y1 * Y3^-2 * Y1 * Y3^-2 * Y1 * Y3 ]
Map::
	R = (1, 37, 3, 39, 8, 44, 4, 40)(2, 38, 5, 41, 11, 47, 6, 42)(7, 43, 13, 49, 23, 59, 14, 50)(9, 45, 16, 52, 28, 64, 17, 53)(10, 46, 18, 54, 29, 65, 19, 55)(12, 48, 21, 57, 32, 68, 22, 58)(15, 51, 25, 61, 20, 56, 26, 62)(24, 60, 33, 69, 31, 67, 34, 70)(27, 63, 35, 71, 30, 66, 36, 72)(73, 74)(75, 79)(76, 81)(77, 82)(78, 84)(80, 87)(83, 92)(85, 94)(86, 96)(88, 99)(89, 90)(91, 102)(93, 103)(95, 100)(97, 106)(98, 107)(101, 104)(105, 108)(109, 110)(111, 115)(112, 117)(113, 118)(114, 120)(116, 123)(119, 128)(121, 130)(122, 132)(124, 135)(125, 126)(127, 138)(129, 139)(131, 136)(133, 142)(134, 143)(137, 140)(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) :: { ( 16, 16 ), ( 16^8 ) }
Outer automorphisms :: reflexible
Dual of E10.421
Graph:: simple bipartite
	v = 45 e = 72 f = 9
	degree seq :: [ 2^36, 8^9 ]

E10.419 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 4, 4})
Quotient :: edge^2
Aut^+ = (C3 x C3) : C4 (small group id <36, 9>)
Aut   = C2 x ((C3 x C3) : C4) (small group id <72, 45>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y1^-1 * Y2^-1, (R * Y3)^2, Y2^4, R * Y2 * R * Y1, Y2 * Y1^-3, Y3 * Y2 * Y3 * Y2 * Y3 * Y1^-1 * Y3 * Y1^-1, Y1 * Y3 * Y1^-2 * Y3 * Y1 * Y2^-1 * Y3 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 37, 4, 40)(2, 38, 6, 42)(3, 39, 7, 43)(5, 41, 10, 46)(8, 44, 16, 52)(9, 45, 17, 53)(11, 47, 21, 57)(12, 48, 22, 58)(13, 49, 24, 60)(14, 50, 25, 61)(15, 51, 26, 62)(18, 54, 29, 65)(19, 55, 30, 66)(20, 56, 23, 59)(27, 63, 35, 71)(28, 64, 36, 72)(31, 67, 34, 70)(32, 68, 33, 69)(73, 74, 77, 75)(76, 80, 87, 81)(78, 83, 92, 84)(79, 85, 95, 86)(82, 90, 98, 91)(88, 97, 106, 99)(89, 100, 103, 93)(94, 104, 108, 101)(96, 102, 107, 105)(109, 111, 113, 110)(112, 117, 123, 116)(114, 120, 128, 119)(115, 122, 131, 121)(118, 127, 134, 126)(124, 135, 142, 133)(125, 129, 139, 136)(130, 137, 144, 140)(132, 141, 143, 138)
	L = (1, 73)(2, 74)(3, 75)(4, 76)(5, 77)(6, 78)(7, 79)(8, 80)(9, 81)(10, 82)(11, 83)(12, 84)(13, 85)(14, 86)(15, 87)(16, 88)(17, 89)(18, 90)(19, 91)(20, 92)(21, 93)(22, 94)(23, 95)(24, 96)(25, 97)(26, 98)(27, 99)(28, 100)(29, 101)(30, 102)(31, 103)(32, 104)(33, 105)(34, 106)(35, 107)(36, 108)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 8^4 ) }
Outer automorphisms :: reflexible
Dual of E10.422
Graph:: simple bipartite
	v = 36 e = 72 f = 18
	degree seq :: [ 4^36 ]

E10.420 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 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 :: [ Y1^2, Y2^2, R^2, (R * Y3)^2, R * Y1 * R * Y2, Y3^4, Y3^-1 * Y1 * Y2 * Y1 * Y3^-1, Y3^-1 * Y2 * Y1 * Y2 * Y3^-1, (Y3 * Y2)^4 ]
Map::
	R = (1, 37, 73, 109, 4, 40, 76, 112, 14, 50, 86, 122, 5, 41, 77, 113)(2, 38, 74, 110, 7, 43, 79, 115, 9, 45, 81, 117, 8, 44, 80, 116)(3, 39, 75, 111, 10, 46, 82, 118, 6, 42, 78, 114, 11, 47, 83, 119)(12, 48, 84, 120, 25, 61, 97, 133, 16, 52, 88, 124, 26, 62, 98, 134)(13, 49, 85, 121, 27, 63, 99, 135, 15, 51, 87, 123, 28, 64, 100, 136)(17, 53, 89, 125, 29, 65, 101, 137, 20, 56, 92, 128, 30, 66, 102, 138)(18, 54, 90, 126, 31, 67, 103, 139, 19, 55, 91, 127, 32, 68, 104, 140)(21, 57, 93, 129, 33, 69, 105, 141, 24, 60, 96, 132, 34, 70, 106, 142)(22, 58, 94, 130, 35, 71, 107, 143, 23, 59, 95, 131, 36, 72, 108, 144)
	L = (1, 38)(2, 37)(3, 45)(4, 48)(5, 51)(6, 50)(7, 53)(8, 55)(9, 39)(10, 57)(11, 59)(12, 40)(13, 52)(14, 42)(15, 41)(16, 49)(17, 43)(18, 56)(19, 44)(20, 54)(21, 46)(22, 60)(23, 47)(24, 58)(25, 67)(26, 72)(27, 65)(28, 70)(29, 63)(30, 69)(31, 61)(32, 71)(33, 66)(34, 64)(35, 68)(36, 62)(73, 111)(74, 114)(75, 109)(76, 121)(77, 124)(78, 110)(79, 126)(80, 128)(81, 122)(82, 130)(83, 132)(84, 123)(85, 112)(86, 117)(87, 120)(88, 113)(89, 127)(90, 115)(91, 125)(92, 116)(93, 131)(94, 118)(95, 129)(96, 119)(97, 143)(98, 140)(99, 141)(100, 138)(101, 142)(102, 136)(103, 144)(104, 134)(105, 135)(106, 137)(107, 133)(108, 139)
	local type(s) :: { ( 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8 ) }
Outer automorphisms :: reflexible
Dual of E10.417
Transitivity :: VT+
Graph::
	v = 9 e = 72 f = 45
	degree seq :: [ 16^9 ]

E10.421 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 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 :: [ Y1^2, Y2^2, R^2, Y2 * Y1, Y3^4, (R * Y3)^2, R * Y1 * R * Y2, (Y1 * Y3)^4, Y3 * Y1 * Y3^-2 * Y1 * Y3^-2 * Y1 * Y3 ]
Map::
	R = (1, 37, 73, 109, 3, 39, 75, 111, 8, 44, 80, 116, 4, 40, 76, 112)(2, 38, 74, 110, 5, 41, 77, 113, 11, 47, 83, 119, 6, 42, 78, 114)(7, 43, 79, 115, 13, 49, 85, 121, 23, 59, 95, 131, 14, 50, 86, 122)(9, 45, 81, 117, 16, 52, 88, 124, 28, 64, 100, 136, 17, 53, 89, 125)(10, 46, 82, 118, 18, 54, 90, 126, 29, 65, 101, 137, 19, 55, 91, 127)(12, 48, 84, 120, 21, 57, 93, 129, 32, 68, 104, 140, 22, 58, 94, 130)(15, 51, 87, 123, 25, 61, 97, 133, 20, 56, 92, 128, 26, 62, 98, 134)(24, 60, 96, 132, 33, 69, 105, 141, 31, 67, 103, 139, 34, 70, 106, 142)(27, 63, 99, 135, 35, 71, 107, 143, 30, 66, 102, 138, 36, 72, 108, 144)
	L = (1, 38)(2, 37)(3, 43)(4, 45)(5, 46)(6, 48)(7, 39)(8, 51)(9, 40)(10, 41)(11, 56)(12, 42)(13, 58)(14, 60)(15, 44)(16, 63)(17, 54)(18, 53)(19, 66)(20, 47)(21, 67)(22, 49)(23, 64)(24, 50)(25, 70)(26, 71)(27, 52)(28, 59)(29, 68)(30, 55)(31, 57)(32, 65)(33, 72)(34, 61)(35, 62)(36, 69)(73, 110)(74, 109)(75, 115)(76, 117)(77, 118)(78, 120)(79, 111)(80, 123)(81, 112)(82, 113)(83, 128)(84, 114)(85, 130)(86, 132)(87, 116)(88, 135)(89, 126)(90, 125)(91, 138)(92, 119)(93, 139)(94, 121)(95, 136)(96, 122)(97, 142)(98, 143)(99, 124)(100, 131)(101, 140)(102, 127)(103, 129)(104, 137)(105, 144)(106, 133)(107, 134)(108, 141)
	local type(s) :: { ( 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8 ) }
Outer automorphisms :: reflexible
Dual of E10.418
Transitivity :: VT+
Graph::
	v = 9 e = 72 f = 45
	degree seq :: [ 16^9 ]

E10.422 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 4, 4})
Quotient :: loop^2
Aut^+ = (C3 x C3) : C4 (small group id <36, 9>)
Aut   = C2 x ((C3 x C3) : C4) (small group id <72, 45>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y1^-1 * Y2^-1, (R * Y3)^2, Y2^4, R * Y2 * R * Y1, Y2 * Y1^-3, Y3 * Y2 * Y3 * Y2 * Y3 * Y1^-1 * Y3 * Y1^-1, Y1 * Y3 * Y1^-2 * Y3 * Y1 * 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, 7, 43, 79, 115)(5, 41, 77, 113, 10, 46, 82, 118)(8, 44, 80, 116, 16, 52, 88, 124)(9, 45, 81, 117, 17, 53, 89, 125)(11, 47, 83, 119, 21, 57, 93, 129)(12, 48, 84, 120, 22, 58, 94, 130)(13, 49, 85, 121, 24, 60, 96, 132)(14, 50, 86, 122, 25, 61, 97, 133)(15, 51, 87, 123, 26, 62, 98, 134)(18, 54, 90, 126, 29, 65, 101, 137)(19, 55, 91, 127, 30, 66, 102, 138)(20, 56, 92, 128, 23, 59, 95, 131)(27, 63, 99, 135, 35, 71, 107, 143)(28, 64, 100, 136, 36, 72, 108, 144)(31, 67, 103, 139, 34, 70, 106, 142)(32, 68, 104, 140, 33, 69, 105, 141)
	L = (1, 38)(2, 41)(3, 37)(4, 44)(5, 39)(6, 47)(7, 49)(8, 51)(9, 40)(10, 54)(11, 56)(12, 42)(13, 59)(14, 43)(15, 45)(16, 61)(17, 64)(18, 62)(19, 46)(20, 48)(21, 53)(22, 68)(23, 50)(24, 66)(25, 70)(26, 55)(27, 52)(28, 67)(29, 58)(30, 71)(31, 57)(32, 72)(33, 60)(34, 63)(35, 69)(36, 65)(73, 111)(74, 109)(75, 113)(76, 117)(77, 110)(78, 120)(79, 122)(80, 112)(81, 123)(82, 127)(83, 114)(84, 128)(85, 115)(86, 131)(87, 116)(88, 135)(89, 129)(90, 118)(91, 134)(92, 119)(93, 139)(94, 137)(95, 121)(96, 141)(97, 124)(98, 126)(99, 142)(100, 125)(101, 144)(102, 132)(103, 136)(104, 130)(105, 143)(106, 133)(107, 138)(108, 140)
	local type(s) :: { ( 4^8 ) }
Outer automorphisms :: reflexible
Dual of E10.419
Transitivity :: VT+
Graph:: bipartite
	v = 18 e = 72 f = 36
	degree seq :: [ 8^18 ]

E10.423 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 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, Y2^2, R^2, Y3 * Y2 * Y3, (R * Y2)^2, (R * Y3)^2, (R * Y1)^2, (Y1 * Y2)^3, (Y3^-1 * Y1)^4, Y3^-1 * Y1 * Y3 * Y1 * Y3^-1 * Y2 * Y1 * Y3 * Y1 * Y2 ]
Map:: non-degenerate
	R = (1, 37, 2, 38)(3, 39, 9, 45)(4, 40, 10, 46)(5, 41, 11, 47)(6, 42, 12, 48)(7, 43, 13, 49)(8, 44, 14, 50)(15, 51, 29, 65)(16, 52, 30, 66)(17, 53, 20, 56)(18, 54, 28, 64)(19, 55, 31, 67)(21, 57, 32, 68)(22, 58, 24, 60)(23, 59, 26, 62)(25, 61, 33, 69)(27, 63, 34, 70)(35, 71, 36, 72)(73, 109, 75, 111)(74, 110, 78, 114)(76, 112, 77, 113)(79, 115, 80, 116)(81, 117, 84, 120)(82, 118, 89, 125)(83, 119, 92, 128)(85, 121, 95, 131)(86, 122, 98, 134)(87, 123, 88, 124)(90, 126, 91, 127)(93, 129, 94, 130)(96, 132, 97, 133)(99, 135, 100, 136)(101, 137, 107, 143)(102, 138, 108, 144)(103, 139, 106, 142)(104, 140, 105, 141)
	L = (1, 76)(2, 79)(3, 77)(4, 75)(5, 73)(6, 80)(7, 78)(8, 74)(9, 87)(10, 90)(11, 93)(12, 88)(13, 96)(14, 99)(15, 84)(16, 81)(17, 91)(18, 89)(19, 82)(20, 94)(21, 92)(22, 83)(23, 97)(24, 95)(25, 85)(26, 100)(27, 98)(28, 86)(29, 103)(30, 105)(31, 107)(32, 102)(33, 108)(34, 101)(35, 106)(36, 104)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 8^4 ) }
Outer automorphisms :: reflexible
Dual of E10.428
Graph:: simple bipartite
	v = 36 e = 72 f = 18
	degree seq :: [ 4^36 ]

E10.424 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 4})
Quotient :: dipole
Aut^+ = (C3 x C3) : C4 (small group id <36, 9>)
Aut   = (S3 x S3) : C2 (small group id <72, 40>)
|r| :: 2
Presentation :: [ Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, R^2, Y1^2, (R * Y1)^2, (R * Y3)^2, Y2^4, (Y3^-1 * Y1)^2, (R * Y2 * Y3^-1)^2, (Y1 * Y2)^4, (Y3 * Y2^-1)^4, Y2 * Y1 * Y2^-2 * Y1 * Y2^-2 * Y1 * Y2 ]
Map::
	R = (1, 37, 2, 38)(3, 39, 7, 43)(4, 40, 9, 45)(5, 41, 10, 46)(6, 42, 12, 48)(8, 44, 15, 51)(11, 47, 20, 56)(13, 49, 22, 58)(14, 50, 24, 60)(16, 52, 27, 63)(17, 53, 18, 54)(19, 55, 30, 66)(21, 57, 31, 67)(23, 59, 28, 64)(25, 61, 34, 70)(26, 62, 35, 71)(29, 65, 32, 68)(33, 69, 36, 72)(73, 109, 75, 111, 80, 116, 76, 112)(74, 110, 77, 113, 83, 119, 78, 114)(79, 115, 85, 121, 95, 131, 86, 122)(81, 117, 88, 124, 100, 136, 89, 125)(82, 118, 90, 126, 101, 137, 91, 127)(84, 120, 93, 129, 104, 140, 94, 130)(87, 123, 97, 133, 92, 128, 98, 134)(96, 132, 105, 141, 103, 139, 106, 142)(99, 135, 107, 143, 102, 138, 108, 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) :: { ( 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 27 e = 72 f = 27
	degree seq :: [ 4^18, 8^9 ]

E10.425 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 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, Y3^3, Y1 * Y2^2 * Y3^-1, (Y3^-1 * Y1)^2, (R * Y3)^2, (R * Y1)^2, Y2^-1 * Y3^-1 * Y1 * Y2^-1, (R * Y2 * Y3^-1)^2, Y2^-1 * Y3^-1 * Y2 * Y1 * Y2 * Y3 * Y2^-1 * Y1, (Y2^-1 * Y1)^4 ]
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, 17, 53)(9, 45, 19, 55)(12, 48, 14, 50)(15, 51, 25, 61)(16, 52, 27, 63)(18, 54, 20, 56)(21, 57, 32, 68)(22, 58, 33, 69)(23, 59, 35, 71)(24, 60, 29, 65)(26, 62, 28, 64)(30, 66, 36, 72)(31, 67, 34, 70)(73, 109, 75, 111, 80, 116, 77, 113)(74, 110, 79, 115, 76, 112, 81, 117)(78, 114, 87, 123, 82, 118, 88, 124)(83, 119, 93, 129, 84, 120, 94, 130)(85, 121, 95, 131, 86, 122, 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, 108, 144, 100, 136, 107, 143)
	L = (1, 76)(2, 80)(3, 84)(4, 78)(5, 86)(6, 73)(7, 90)(8, 82)(9, 92)(10, 74)(11, 77)(12, 85)(13, 75)(14, 83)(15, 98)(16, 100)(17, 81)(18, 91)(19, 79)(20, 89)(21, 103)(22, 106)(23, 108)(24, 102)(25, 88)(26, 99)(27, 87)(28, 97)(29, 95)(30, 107)(31, 105)(32, 94)(33, 93)(34, 104)(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, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E10.427
Graph:: bipartite
	v = 27 e = 72 f = 27
	degree seq :: [ 4^18, 8^9 ]

E10.426 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 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, Y3^3, (Y3^-1 * Y1)^2, Y2^4, (R * Y3)^2, (R * Y1)^2, Y1 * Y2 * R * Y2^-1 * R, Y3 * Y1 * Y2 * Y1 * Y2^-1, Y1 * Y2^-1 * Y3^-1 * Y2^-1 * Y3^-1, Y2 * Y3^-1 * Y2^-2 * Y3^-1 * Y2, (Y3 * Y2^-1)^4 ]
Map:: polytopal 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, 27, 63)(13, 49, 26, 62)(14, 50, 21, 57)(15, 51, 19, 55)(16, 52, 33, 69)(22, 58, 36, 72)(23, 59, 24, 60)(25, 61, 31, 67)(28, 64, 35, 71)(29, 65, 32, 68)(30, 66, 34, 70)(73, 109, 75, 111, 84, 120, 77, 113)(74, 110, 79, 115, 94, 130, 81, 117)(76, 112, 87, 123, 101, 137, 88, 124)(78, 114, 92, 128, 100, 136, 93, 129)(80, 116, 91, 127, 102, 138, 85, 121)(82, 118, 83, 119, 97, 133, 96, 132)(86, 122, 103, 139, 90, 126, 104, 140)(89, 125, 106, 142, 95, 131, 107, 143)(98, 134, 99, 135, 105, 141, 108, 144)
	L = (1, 76)(2, 80)(3, 85)(4, 78)(5, 90)(6, 73)(7, 88)(8, 82)(9, 89)(10, 74)(11, 93)(12, 100)(13, 86)(14, 75)(15, 81)(16, 95)(17, 87)(18, 91)(19, 77)(20, 96)(21, 98)(22, 97)(23, 79)(24, 105)(25, 102)(26, 83)(27, 104)(28, 101)(29, 84)(30, 94)(31, 108)(32, 107)(33, 92)(34, 103)(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, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible selfdual
Graph:: simple bipartite
	v = 27 e = 72 f = 27
	degree seq :: [ 4^18, 8^9 ]

E10.427 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 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, Y3^3, (Y3^-1 * Y1)^2, Y2^4, (R * Y3)^2, (R * Y1)^2, Y1 * Y2 * Y3^-1 * Y2 * Y3^-1, Y1 * Y2 * Y1 * Y3^-1 * Y2^-1, R * Y2 * Y1 * R * Y2^-1, Y2^-2 * Y3 * Y2^2 * Y3 ]
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, 13, 49)(9, 45, 21, 57)(12, 48, 27, 63)(14, 50, 16, 52)(15, 51, 33, 69)(18, 54, 35, 71)(19, 55, 20, 56)(22, 58, 36, 72)(23, 59, 24, 60)(25, 61, 28, 64)(26, 62, 32, 68)(29, 65, 31, 67)(30, 66, 34, 70)(73, 109, 75, 111, 84, 120, 77, 113)(74, 110, 79, 115, 94, 130, 81, 117)(76, 112, 87, 123, 101, 137, 88, 124)(78, 114, 92, 128, 100, 136, 93, 129)(80, 116, 90, 126, 104, 140, 86, 122)(82, 118, 96, 132, 106, 142, 89, 125)(83, 119, 97, 133, 95, 131, 98, 134)(85, 121, 102, 138, 91, 127, 103, 139)(99, 135, 107, 143, 108, 144, 105, 141)
	L = (1, 76)(2, 80)(3, 85)(4, 78)(5, 90)(6, 73)(7, 83)(8, 82)(9, 87)(10, 74)(11, 88)(12, 100)(13, 86)(14, 75)(15, 95)(16, 79)(17, 92)(18, 91)(19, 77)(20, 107)(21, 96)(22, 106)(23, 81)(24, 105)(25, 99)(26, 102)(27, 103)(28, 101)(29, 84)(30, 108)(31, 97)(32, 94)(33, 93)(34, 104)(35, 89)(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, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E10.425
Graph:: simple bipartite
	v = 27 e = 72 f = 27
	degree seq :: [ 4^18, 8^9 ]

E10.428 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 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, (Y1^-1 * Y2)^2, (R * Y3)^2, (R * Y1)^2, Y1^4, (Y3^-1 * Y1^-1)^2, Y2^4, (Y3 * Y2^-1)^2, Y3 * Y1^-1 * Y3 * Y1^-1 * Y2^-1 * Y1^-1, Y2 * Y3^-1 * Y1 * Y2^2 * Y1^-1 * Y2^-1 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 6, 42, 5, 41)(3, 39, 9, 45, 18, 54, 8, 44)(4, 40, 11, 47, 22, 58, 12, 48)(7, 43, 16, 52, 26, 62, 15, 51)(10, 46, 21, 57, 30, 66, 20, 56)(13, 49, 14, 50, 24, 60, 19, 55)(17, 53, 28, 64, 34, 70, 27, 63)(23, 59, 29, 65, 35, 71, 31, 67)(25, 61, 33, 69, 36, 72, 32, 68)(73, 109, 75, 111, 82, 118, 76, 112)(74, 110, 79, 115, 89, 125, 80, 116)(77, 113, 83, 119, 95, 131, 85, 121)(78, 114, 86, 122, 97, 133, 87, 123)(81, 117, 91, 127, 101, 137, 92, 128)(84, 120, 93, 129, 99, 135, 88, 124)(90, 126, 100, 136, 104, 140, 96, 132)(94, 130, 98, 134, 105, 141, 103, 139)(102, 138, 107, 143, 108, 144, 106, 142)
	L = (1, 76)(2, 80)(3, 73)(4, 82)(5, 85)(6, 87)(7, 74)(8, 89)(9, 92)(10, 75)(11, 77)(12, 88)(13, 95)(14, 78)(15, 97)(16, 99)(17, 79)(18, 96)(19, 81)(20, 101)(21, 84)(22, 103)(23, 83)(24, 104)(25, 86)(26, 94)(27, 93)(28, 90)(29, 91)(30, 106)(31, 105)(32, 100)(33, 98)(34, 108)(35, 102)(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 ) }
Outer automorphisms :: reflexible
Dual of E10.423
Graph:: bipartite
	v = 18 e = 72 f = 36
	degree seq :: [ 8^18 ]

E10.429 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 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 * Y2, (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, (Y1 * Y2)^2, Y3 * Y1 * Y3 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 ]
Map:: polytopal 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, 82)(5, 73)(6, 85)(7, 86)(8, 74)(9, 77)(10, 75)(11, 91)(12, 93)(13, 80)(14, 78)(15, 97)(16, 99)(17, 101)(18, 103)(19, 102)(20, 83)(21, 104)(22, 84)(23, 105)(24, 107)(25, 106)(26, 87)(27, 108)(28, 88)(29, 92)(30, 89)(31, 94)(32, 90)(33, 98)(34, 95)(35, 100)(36, 96)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 6, 12, 6, 12 ) }
Outer automorphisms :: reflexible
Dual of E10.456
Graph:: simple bipartite
	v = 36 e = 72 f = 18
	degree seq :: [ 4^36 ]

E10.430 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 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, Y2^2, R^2, Y2 * Y3^3, Y3 * Y2 * Y3^-1 * Y2, (R * Y3)^2, (R * Y2)^2, (R * Y1)^2, Y3^-1 * Y1 * Y3^-1 * Y2 * Y1 * Y2, (Y2 * Y1)^6 ]
Map:: polytopal non-degenerate
	R = (1, 37, 2, 38)(3, 39, 9, 45)(4, 40, 12, 48)(5, 41, 13, 49)(6, 42, 14, 50)(7, 43, 17, 53)(8, 44, 18, 54)(10, 46, 16, 52)(11, 47, 15, 51)(19, 55, 25, 61)(20, 56, 26, 62)(21, 57, 27, 63)(22, 58, 28, 64)(23, 59, 29, 65)(24, 60, 30, 66)(31, 67, 34, 70)(32, 68, 36, 72)(33, 69, 35, 71)(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, 91, 127)(84, 120, 93, 129)(85, 121, 92, 128)(86, 122, 94, 130)(89, 125, 96, 132)(90, 126, 95, 131)(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, 79)(3, 82)(4, 83)(5, 73)(6, 87)(7, 88)(8, 74)(9, 92)(10, 77)(11, 75)(12, 91)(13, 93)(14, 95)(15, 80)(16, 78)(17, 94)(18, 96)(19, 85)(20, 84)(21, 81)(22, 90)(23, 89)(24, 86)(25, 104)(26, 103)(27, 105)(28, 107)(29, 106)(30, 108)(31, 99)(32, 98)(33, 97)(34, 102)(35, 101)(36, 100)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 6, 12, 6, 12 ) }
Outer automorphisms :: reflexible
Dual of E10.455
Graph:: simple bipartite
	v = 36 e = 72 f = 18
	degree seq :: [ 4^36 ]

E10.431 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 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, Y2^3, (R * Y3)^2, (R * Y1)^2, (Y3^-1, Y2^-1), (R * Y2)^2, (Y3^-1 * Y1)^2, Y2^-1 * Y1 * Y2 * Y1, Y3^6 ]
Map:: polytopal 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, 18, 54)(12, 48, 17, 53)(13, 49, 22, 58)(14, 50, 21, 57)(15, 51, 20, 56)(16, 52, 19, 55)(23, 59, 29, 65)(24, 60, 28, 64)(25, 61, 30, 66)(26, 62, 32, 68)(27, 63, 31, 67)(33, 69, 35, 71)(34, 70, 36, 72)(73, 109, 75, 111, 77, 113)(74, 110, 79, 115, 81, 117)(76, 112, 83, 119, 86, 122)(78, 114, 84, 120, 87, 123)(80, 116, 89, 125, 92, 128)(82, 118, 90, 126, 93, 129)(85, 121, 95, 131, 98, 134)(88, 124, 96, 132, 99, 135)(91, 127, 100, 136, 103, 139)(94, 130, 101, 137, 104, 140)(97, 133, 105, 141, 106, 142)(102, 138, 107, 143, 108, 144)
	L = (1, 76)(2, 80)(3, 83)(4, 85)(5, 86)(6, 73)(7, 89)(8, 91)(9, 92)(10, 74)(11, 95)(12, 75)(13, 97)(14, 98)(15, 77)(16, 78)(17, 100)(18, 79)(19, 102)(20, 103)(21, 81)(22, 82)(23, 105)(24, 84)(25, 88)(26, 106)(27, 87)(28, 107)(29, 90)(30, 94)(31, 108)(32, 93)(33, 96)(34, 99)(35, 101)(36, 104)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 4, 12, 4, 12 ), ( 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E10.449
Graph:: simple bipartite
	v = 30 e = 72 f = 24
	degree seq :: [ 4^18, 6^12 ]

E10.432 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 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, Y2^3, (R * Y3)^2, (R * Y1)^2, Y3 * Y2^-1 * Y3^-1 * Y2^-1, R * Y2 * R * Y2^-1, (Y3^-1 * Y1)^2, Y2^-1 * Y1 * Y2 * Y1, Y3^6 ]
Map:: polytopal 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, 18, 54)(12, 48, 17, 53)(13, 49, 21, 57)(14, 50, 22, 58)(15, 51, 19, 55)(16, 52, 20, 56)(23, 59, 29, 65)(24, 60, 28, 64)(25, 61, 32, 68)(26, 62, 31, 67)(27, 63, 30, 66)(33, 69, 35, 71)(34, 70, 36, 72)(73, 109, 75, 111, 77, 113)(74, 110, 79, 115, 81, 117)(76, 112, 85, 121, 83, 119)(78, 114, 87, 123, 84, 120)(80, 116, 91, 127, 89, 125)(82, 118, 93, 129, 90, 126)(86, 122, 95, 131, 97, 133)(88, 124, 96, 132, 99, 135)(92, 128, 100, 136, 102, 138)(94, 130, 101, 137, 104, 140)(98, 134, 106, 142, 105, 141)(103, 139, 108, 144, 107, 143)
	L = (1, 76)(2, 80)(3, 83)(4, 86)(5, 85)(6, 73)(7, 89)(8, 92)(9, 91)(10, 74)(11, 95)(12, 75)(13, 97)(14, 98)(15, 77)(16, 78)(17, 100)(18, 79)(19, 102)(20, 103)(21, 81)(22, 82)(23, 105)(24, 84)(25, 106)(26, 88)(27, 87)(28, 107)(29, 90)(30, 108)(31, 94)(32, 93)(33, 96)(34, 99)(35, 101)(36, 104)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 4, 12, 4, 12 ), ( 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E10.454
Graph:: simple bipartite
	v = 30 e = 72 f = 24
	degree seq :: [ 4^18, 6^12 ]

E10.433 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 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, Y2^3, (R * Y3)^2, (R * Y1)^2, Y3 * Y2^-1 * Y3^-1 * Y2^-1, R * Y2 * R * Y2^-1, (Y3^-1 * Y1)^2, (Y2^-1 * Y1)^2, Y3^6 ]
Map:: polytopal 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, 19, 55)(13, 49, 18, 54)(14, 50, 22, 58)(15, 51, 17, 53)(16, 52, 20, 56)(23, 59, 32, 68)(24, 60, 30, 66)(25, 61, 29, 65)(26, 62, 31, 67)(27, 63, 28, 64)(33, 69, 36, 72)(34, 70, 35, 71)(73, 109, 75, 111, 77, 113)(74, 110, 79, 115, 81, 117)(76, 112, 85, 121, 83, 119)(78, 114, 87, 123, 84, 120)(80, 116, 91, 127, 89, 125)(82, 118, 93, 129, 90, 126)(86, 122, 95, 131, 97, 133)(88, 124, 96, 132, 99, 135)(92, 128, 100, 136, 102, 138)(94, 130, 101, 137, 104, 140)(98, 134, 106, 142, 105, 141)(103, 139, 108, 144, 107, 143)
	L = (1, 76)(2, 80)(3, 83)(4, 86)(5, 85)(6, 73)(7, 89)(8, 92)(9, 91)(10, 74)(11, 95)(12, 75)(13, 97)(14, 98)(15, 77)(16, 78)(17, 100)(18, 79)(19, 102)(20, 103)(21, 81)(22, 82)(23, 105)(24, 84)(25, 106)(26, 88)(27, 87)(28, 107)(29, 90)(30, 108)(31, 94)(32, 93)(33, 96)(34, 99)(35, 101)(36, 104)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 4, 12, 4, 12 ), ( 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E10.451
Graph:: simple bipartite
	v = 30 e = 72 f = 24
	degree seq :: [ 4^18, 6^12 ]

E10.434 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 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, Y3 * Y2 * Y3 * Y2^-1, (R * Y3)^2, (R * Y2)^2, (Y3 * Y1)^2, (R * Y1)^2, Y2 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2 * Y1 ]
Map:: non-degenerate
	R = (1, 37, 2, 38)(3, 39, 9, 45)(4, 40, 7, 43)(5, 41, 12, 48)(6, 42, 13, 49)(8, 44, 16, 52)(10, 46, 18, 54)(11, 47, 20, 56)(14, 50, 24, 60)(15, 51, 26, 62)(17, 53, 23, 59)(19, 55, 27, 63)(21, 57, 25, 61)(22, 58, 28, 64)(29, 65, 33, 69)(30, 66, 35, 71)(31, 67, 34, 70)(32, 68, 36, 72)(73, 109, 75, 111, 77, 113)(74, 110, 78, 114, 80, 116)(76, 112, 82, 118, 83, 119)(79, 115, 86, 122, 87, 123)(81, 117, 89, 125, 91, 127)(84, 120, 93, 129, 94, 130)(85, 121, 95, 131, 97, 133)(88, 124, 99, 135, 100, 136)(90, 126, 101, 137, 102, 138)(92, 128, 103, 139, 104, 140)(96, 132, 105, 141, 106, 142)(98, 134, 107, 143, 108, 144)
	L = (1, 76)(2, 79)(3, 82)(4, 73)(5, 83)(6, 86)(7, 74)(8, 87)(9, 90)(10, 75)(11, 77)(12, 92)(13, 96)(14, 78)(15, 80)(16, 98)(17, 101)(18, 81)(19, 102)(20, 84)(21, 103)(22, 104)(23, 105)(24, 85)(25, 106)(26, 88)(27, 107)(28, 108)(29, 89)(30, 91)(31, 93)(32, 94)(33, 95)(34, 97)(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 ) }
Outer automorphisms :: reflexible
Dual of E10.444
Graph:: simple bipartite
	v = 30 e = 72 f = 24
	degree seq :: [ 4^18, 6^12 ]

E10.435 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 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, (R * Y1)^2, (Y3 * Y1)^2, (R * Y3)^2, Y2 * Y1 * Y2^-1 * Y1, (R * Y2 * Y3)^2, Y3 * Y2^-1 * Y3 * Y2 * Y3 * Y2 * 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, 77, 113)(74, 110, 78, 114, 80, 116)(76, 112, 82, 118, 83, 119)(79, 115, 86, 122, 87, 123)(81, 117, 89, 125, 90, 126)(84, 120, 93, 129, 94, 130)(85, 121, 95, 131, 96, 132)(88, 124, 99, 135, 100, 136)(91, 127, 101, 137, 103, 139)(92, 128, 102, 138, 104, 140)(97, 133, 105, 141, 107, 143)(98, 134, 106, 142, 108, 144)
	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 ) }
Outer automorphisms :: reflexible
Dual of E10.446
Graph:: simple bipartite
	v = 30 e = 72 f = 24
	degree seq :: [ 4^18, 6^12 ]

E10.436 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 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)^2, (R * Y3)^2, (R * Y1)^2, Y3 * Y2 * Y3 * Y1 * Y2^-1 * Y1, (R * Y2 * Y3)^2, Y2 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1, Y2 * Y3 * Y2^-1 * R * Y2 * R * Y2 * Y3, Y1 * Y2^-1 * Y1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2 ]
Map:: polytopal 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, 17, 53)(11, 47, 16, 52)(12, 48, 20, 56)(14, 50, 18, 54)(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, 77, 113)(74, 110, 78, 114, 80, 116)(76, 112, 83, 119, 84, 120)(79, 115, 89, 125, 90, 126)(81, 117, 93, 129, 94, 130)(82, 118, 95, 131, 96, 132)(85, 121, 97, 133, 98, 134)(86, 122, 99, 135, 100, 136)(87, 123, 101, 137, 102, 138)(88, 124, 103, 139, 104, 140)(91, 127, 105, 141, 106, 142)(92, 128, 107, 143, 108, 144)
	L = (1, 76)(2, 79)(3, 82)(4, 73)(5, 86)(6, 88)(7, 74)(8, 92)(9, 89)(10, 75)(11, 87)(12, 91)(13, 90)(14, 77)(15, 83)(16, 78)(17, 81)(18, 85)(19, 84)(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 ) }
Outer automorphisms :: reflexible
Dual of E10.443
Graph:: simple bipartite
	v = 30 e = 72 f = 24
	degree seq :: [ 4^18, 6^12 ]

E10.437 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 6})
Quotient :: dipole
Aut^+ = S3 x S3 (small group id <36, 10>)
Aut   = C2 x S3 x S3 (small group id <72, 46>)
|r| :: 2
Presentation :: [ Y1^2, Y3^2, R^2, Y2^3, (Y1 * Y3)^2, (R * Y1)^2, (R * Y3)^2, (Y3 * Y2 * R)^2, Y3 * Y2^-1 * Y3 * Y1 * Y2^-1 * Y1, Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2 * Y1 * Y2, Y2^-1 * Y3 * Y2^-1 * R * Y2^-1 * R * Y2 * Y3, Y2 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 ]
Map:: polytopal 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, 18, 54)(11, 47, 20, 56)(12, 48, 16, 52)(14, 50, 17, 53)(21, 57, 29, 65)(22, 58, 33, 69)(23, 59, 36, 72)(24, 60, 32, 68)(25, 61, 30, 66)(26, 62, 34, 70)(27, 63, 35, 71)(28, 64, 31, 67)(73, 109, 75, 111, 77, 113)(74, 110, 78, 114, 80, 116)(76, 112, 83, 119, 84, 120)(79, 115, 89, 125, 90, 126)(81, 117, 93, 129, 94, 130)(82, 118, 95, 131, 96, 132)(85, 121, 97, 133, 98, 134)(86, 122, 99, 135, 100, 136)(87, 123, 101, 137, 102, 138)(88, 124, 103, 139, 104, 140)(91, 127, 105, 141, 106, 142)(92, 128, 107, 143, 108, 144)
	L = (1, 76)(2, 79)(3, 82)(4, 73)(5, 86)(6, 88)(7, 74)(8, 92)(9, 90)(10, 75)(11, 91)(12, 87)(13, 89)(14, 77)(15, 84)(16, 78)(17, 85)(18, 81)(19, 83)(20, 80)(21, 104)(22, 108)(23, 105)(24, 101)(25, 103)(26, 107)(27, 106)(28, 102)(29, 96)(30, 100)(31, 97)(32, 93)(33, 95)(34, 99)(35, 98)(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, 12, 4, 12 ), ( 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E10.452
Graph:: simple bipartite
	v = 30 e = 72 f = 24
	degree seq :: [ 4^18, 6^12 ]

E10.438 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 6})
Quotient :: dipole
Aut^+ = S3 x S3 (small group id <36, 10>)
Aut   = C2 x S3 x S3 (small group id <72, 46>)
|r| :: 2
Presentation :: [ Y1^2, Y3^2, R^2, Y2^3, (R * Y1)^2, (Y3 * Y1)^2, (Y2^-1 * Y1)^2, (R * Y3)^2, (R * Y2 * Y3)^2, Y2^-1 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2^-1 * Y3 ]
Map:: polytopal non-degenerate
	R = (1, 37, 2, 38)(3, 39, 8, 44)(4, 40, 7, 43)(5, 41, 6, 42)(9, 45, 16, 52)(10, 46, 15, 51)(11, 47, 14, 50)(12, 48, 13, 49)(17, 53, 28, 64)(18, 54, 27, 63)(19, 55, 26, 62)(20, 56, 25, 61)(21, 57, 24, 60)(22, 58, 23, 59)(29, 65, 36, 72)(30, 66, 35, 71)(31, 67, 34, 70)(32, 68, 33, 69)(73, 109, 75, 111, 77, 113)(74, 110, 78, 114, 80, 116)(76, 112, 82, 118, 83, 119)(79, 115, 86, 122, 87, 123)(81, 117, 89, 125, 90, 126)(84, 120, 93, 129, 94, 130)(85, 121, 95, 131, 96, 132)(88, 124, 99, 135, 100, 136)(91, 127, 101, 137, 103, 139)(92, 128, 102, 138, 104, 140)(97, 133, 105, 141, 107, 143)(98, 134, 106, 142, 108, 144)
	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 ) }
Outer automorphisms :: reflexible
Dual of E10.445
Graph:: simple bipartite
	v = 30 e = 72 f = 24
	degree seq :: [ 4^18, 6^12 ]

E10.439 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 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, Y2^3, (Y3^-1, Y2), (Y1 * Y3)^2, (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, Y1 * Y3^-1 * Y2 * Y1 * Y3 * Y2^-1, Y3^6 ]
Map:: polytopal 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, 19, 55)(9, 45, 24, 60)(12, 48, 28, 64)(13, 49, 21, 57)(14, 50, 26, 62)(15, 51, 23, 59)(17, 53, 31, 67)(18, 54, 22, 58)(20, 56, 34, 70)(25, 61, 36, 72)(27, 63, 33, 69)(29, 65, 32, 68)(30, 66, 35, 71)(73, 109, 75, 111, 77, 113)(74, 110, 79, 115, 81, 117)(76, 112, 84, 120, 87, 123)(78, 114, 85, 121, 89, 125)(80, 116, 92, 128, 95, 131)(82, 118, 93, 129, 97, 133)(83, 119, 99, 135, 98, 134)(86, 122, 101, 137, 96, 132)(88, 124, 94, 130, 104, 140)(90, 126, 91, 127, 105, 141)(100, 136, 103, 139, 107, 143)(102, 138, 106, 142, 108, 144)
	L = (1, 76)(2, 80)(3, 84)(4, 86)(5, 87)(6, 73)(7, 92)(8, 94)(9, 95)(10, 74)(11, 93)(12, 101)(13, 75)(14, 102)(15, 96)(16, 103)(17, 77)(18, 78)(19, 85)(20, 104)(21, 79)(22, 107)(23, 88)(24, 108)(25, 81)(26, 82)(27, 97)(28, 83)(29, 106)(30, 90)(31, 99)(32, 100)(33, 89)(34, 91)(35, 98)(36, 105)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 4, 12, 4, 12 ), ( 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E10.447
Graph:: simple bipartite
	v = 30 e = 72 f = 24
	degree seq :: [ 4^18, 6^12 ]

E10.440 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 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, Y2^3, (Y3, Y2), (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, (Y3^-1 * Y1)^2, Y3^6, Y2 * Y1 * Y3^-1 * Y2^-1 * Y3^-1 * Y1 ]
Map:: polytopal 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, 19, 55)(9, 45, 24, 60)(12, 48, 20, 56)(13, 49, 28, 64)(14, 50, 26, 62)(15, 51, 32, 68)(17, 53, 25, 61)(18, 54, 22, 58)(21, 57, 34, 70)(23, 59, 36, 72)(27, 63, 31, 67)(29, 65, 33, 69)(30, 66, 35, 71)(73, 109, 75, 111, 77, 113)(74, 110, 79, 115, 81, 117)(76, 112, 84, 120, 87, 123)(78, 114, 85, 121, 89, 125)(80, 116, 92, 128, 95, 131)(82, 118, 93, 129, 97, 133)(83, 119, 99, 135, 94, 130)(86, 122, 91, 127, 103, 139)(88, 124, 98, 134, 105, 141)(90, 126, 101, 137, 96, 132)(100, 136, 104, 140, 107, 143)(102, 138, 106, 142, 108, 144)
	L = (1, 76)(2, 80)(3, 84)(4, 86)(5, 87)(6, 73)(7, 92)(8, 94)(9, 95)(10, 74)(11, 100)(12, 91)(13, 75)(14, 102)(15, 103)(16, 97)(17, 77)(18, 78)(19, 106)(20, 83)(21, 79)(22, 107)(23, 99)(24, 89)(25, 81)(26, 82)(27, 104)(28, 105)(29, 85)(30, 90)(31, 108)(32, 88)(33, 93)(34, 101)(35, 98)(36, 96)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 4, 12, 4, 12 ), ( 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E10.448
Graph:: simple bipartite
	v = 30 e = 72 f = 24
	degree seq :: [ 4^18, 6^12 ]

E10.441 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 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, Y2^3, (Y2 * Y3)^2, (Y3 * Y1)^2, (R * Y1)^2, (R * Y3)^2, Y2 * Y3^2 * Y1 * Y2^-1 * Y1, (Y2 * Y3^-1 * Y1)^2, (Y2^-1 * Y3^-1 * Y1)^2, (R * Y2 * Y3^-1)^2, Y3^6, Y3^3 * Y2^-1 * Y3 * Y2^-1, Y3 * Y2^-1 * Y1 * Y3^-1 * Y2 * Y1 * Y2 ]
Map:: polytopal 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, 26, 62)(14, 50, 24, 60)(15, 51, 30, 66)(16, 52, 23, 59)(18, 54, 29, 65)(19, 55, 28, 64)(20, 56, 25, 61)(31, 67, 34, 70)(32, 68, 36, 72)(33, 69, 35, 71)(73, 109, 75, 111, 77, 113)(74, 110, 79, 115, 81, 117)(76, 112, 86, 122, 88, 124)(78, 114, 91, 127, 84, 120)(80, 116, 96, 132, 98, 134)(82, 118, 101, 137, 94, 130)(83, 119, 103, 139, 97, 133)(85, 121, 104, 140, 90, 126)(87, 123, 93, 129, 106, 142)(89, 125, 102, 138, 107, 143)(92, 128, 105, 141, 99, 135)(95, 131, 108, 144, 100, 136)
	L = (1, 76)(2, 80)(3, 84)(4, 87)(5, 90)(6, 73)(7, 94)(8, 97)(9, 100)(10, 74)(11, 98)(12, 93)(13, 75)(14, 77)(15, 104)(16, 105)(17, 96)(18, 106)(19, 99)(20, 78)(21, 88)(22, 83)(23, 79)(24, 81)(25, 108)(26, 107)(27, 86)(28, 103)(29, 89)(30, 82)(31, 101)(32, 92)(33, 85)(34, 91)(35, 95)(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 ) }
Outer automorphisms :: reflexible
Dual of E10.453
Graph:: simple bipartite
	v = 30 e = 72 f = 24
	degree seq :: [ 4^18, 6^12 ]

E10.442 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 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, Y2^3, (Y3 * Y2)^2, (R * Y3)^2, (R * Y1)^2, (Y3^-1 * Y2^-1)^2, (Y2 * Y1)^2, (Y3^-1 * Y1)^2, (R * Y2 * Y3^-1)^2, Y3^3 * Y2^-1 * Y3 * Y2^-1 ]
Map:: polytopal 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, 24, 60)(13, 49, 19, 55)(14, 50, 26, 62)(15, 51, 25, 61)(16, 52, 20, 56)(17, 53, 23, 59)(18, 54, 22, 58)(27, 63, 35, 71)(28, 64, 33, 69)(29, 65, 36, 72)(30, 66, 32, 68)(31, 67, 34, 70)(73, 109, 75, 111, 77, 113)(74, 110, 79, 115, 81, 117)(76, 112, 85, 121, 87, 123)(78, 114, 89, 125, 83, 119)(80, 116, 93, 129, 95, 131)(82, 118, 97, 133, 91, 127)(84, 120, 100, 136, 88, 124)(86, 122, 99, 135, 103, 139)(90, 126, 101, 137, 102, 138)(92, 128, 105, 141, 96, 132)(94, 130, 104, 140, 108, 144)(98, 134, 106, 142, 107, 143)
	L = (1, 76)(2, 80)(3, 83)(4, 86)(5, 88)(6, 73)(7, 91)(8, 94)(9, 96)(10, 74)(11, 99)(12, 75)(13, 77)(14, 100)(15, 101)(16, 103)(17, 102)(18, 78)(19, 104)(20, 79)(21, 81)(22, 105)(23, 106)(24, 108)(25, 107)(26, 82)(27, 87)(28, 90)(29, 84)(30, 85)(31, 89)(32, 95)(33, 98)(34, 92)(35, 93)(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 ) }
Outer automorphisms :: reflexible
Dual of E10.450
Graph:: simple bipartite
	v = 30 e = 72 f = 24
	degree seq :: [ 4^18, 6^12 ]

E10.443 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 6})
Quotient :: dipole
Aut^+ = C6 x S3 (small group id <36, 12>)
Aut   = C2 x S3 x S3 (small group id <72, 46>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, (R * Y2)^2, (Y3 * Y2)^2, Y1^-1 * Y2 * Y1 * Y2, (R * Y1)^2, (R * Y3)^2, (Y3 * Y1^-1)^3, Y3 * Y1^2 * Y3 * Y1^-2, Y1^6 ]
Map:: polytopal non-degenerate
	R = (1, 37, 2, 38, 6, 42, 15, 51, 14, 50, 5, 41)(3, 39, 7, 43, 16, 52, 27, 63, 24, 60, 10, 46)(4, 40, 11, 47, 17, 53, 30, 66, 26, 62, 12, 48)(8, 44, 19, 55, 28, 64, 25, 61, 13, 49, 20, 56)(9, 45, 21, 57, 29, 65, 36, 72, 34, 70, 22, 58)(18, 54, 31, 67, 35, 71, 33, 69, 23, 59, 32, 68)(73, 109, 75, 111)(74, 110, 79, 115)(76, 112, 81, 117)(77, 113, 82, 118)(78, 114, 88, 124)(80, 116, 90, 126)(83, 119, 93, 129)(84, 120, 94, 130)(85, 121, 95, 131)(86, 122, 96, 132)(87, 123, 99, 135)(89, 125, 101, 137)(91, 127, 103, 139)(92, 128, 104, 140)(97, 133, 105, 141)(98, 134, 106, 142)(100, 136, 107, 143)(102, 138, 108, 144)
	L = (1, 76)(2, 80)(3, 81)(4, 73)(5, 85)(6, 89)(7, 90)(8, 74)(9, 75)(10, 95)(11, 97)(12, 91)(13, 77)(14, 98)(15, 100)(16, 101)(17, 78)(18, 79)(19, 84)(20, 102)(21, 105)(22, 103)(23, 82)(24, 106)(25, 83)(26, 86)(27, 107)(28, 87)(29, 88)(30, 92)(31, 94)(32, 108)(33, 93)(34, 96)(35, 99)(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, 6, 4, 6 ), ( 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible
Dual of E10.436
Graph:: simple bipartite
	v = 24 e = 72 f = 30
	degree seq :: [ 4^18, 12^6 ]

E10.444 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 6})
Quotient :: dipole
Aut^+ = C6 x S3 (small group id <36, 12>)
Aut   = C2 x S3 x S3 (small group id <72, 46>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, Y1^-3 * Y3, (R * Y2)^2, (Y3 * Y2)^2, (R * Y1)^2, Y3 * Y1 * Y3 * Y1^-1, (R * Y3)^2, Y2 * Y1 * Y2 * Y1 * Y2 * Y1^-1 * Y2 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 6, 42, 4, 40, 8, 44, 5, 41)(3, 39, 9, 45, 17, 53, 10, 46, 19, 55, 11, 47)(7, 43, 14, 50, 25, 61, 15, 51, 27, 63, 16, 52)(12, 48, 21, 57, 24, 60, 13, 49, 23, 59, 22, 58)(18, 54, 26, 62, 33, 69, 30, 66, 36, 72, 31, 67)(20, 56, 28, 64, 34, 70, 29, 65, 35, 71, 32, 68)(73, 109, 75, 111)(74, 110, 79, 115)(76, 112, 82, 118)(77, 113, 84, 120)(78, 114, 85, 121)(80, 116, 87, 123)(81, 117, 90, 126)(83, 119, 92, 128)(86, 122, 98, 134)(88, 124, 100, 136)(89, 125, 101, 137)(91, 127, 102, 138)(93, 129, 103, 139)(94, 130, 104, 140)(95, 131, 105, 141)(96, 132, 106, 142)(97, 133, 107, 143)(99, 135, 108, 144)
	L = (1, 76)(2, 80)(3, 82)(4, 73)(5, 78)(6, 77)(7, 87)(8, 74)(9, 91)(10, 75)(11, 89)(12, 85)(13, 84)(14, 99)(15, 79)(16, 97)(17, 83)(18, 102)(19, 81)(20, 101)(21, 95)(22, 96)(23, 93)(24, 94)(25, 88)(26, 108)(27, 86)(28, 107)(29, 92)(30, 90)(31, 105)(32, 106)(33, 103)(34, 104)(35, 100)(36, 98)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 4, 6, 4, 6 ), ( 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible
Dual of E10.434
Graph:: bipartite
	v = 24 e = 72 f = 30
	degree seq :: [ 4^18, 12^6 ]

E10.445 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 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 :: [ R^2, Y2^2, Y3^2, (R * Y2)^2, (Y3 * Y2)^2, (R * Y1)^2, (R * Y3)^2, (Y1^-1 * Y2)^2, Y3 * Y1^2 * Y3 * Y1^-2, (Y3 * Y1^-1)^3, Y1^6 ]
Map:: polytopal non-degenerate
	R = (1, 37, 2, 38, 6, 42, 15, 51, 14, 50, 5, 41)(3, 39, 9, 45, 21, 57, 27, 63, 16, 52, 7, 43)(4, 40, 11, 47, 17, 53, 30, 66, 26, 62, 12, 48)(8, 44, 19, 55, 28, 64, 25, 61, 13, 49, 20, 56)(10, 46, 23, 59, 33, 69, 36, 72, 29, 65, 24, 60)(18, 54, 31, 67, 22, 58, 34, 70, 35, 71, 32, 68)(73, 109, 75, 111)(74, 110, 79, 115)(76, 112, 82, 118)(77, 113, 81, 117)(78, 114, 88, 124)(80, 116, 90, 126)(83, 119, 96, 132)(84, 120, 95, 131)(85, 121, 94, 130)(86, 122, 93, 129)(87, 123, 99, 135)(89, 125, 101, 137)(91, 127, 104, 140)(92, 128, 103, 139)(97, 133, 106, 142)(98, 134, 105, 141)(100, 136, 107, 143)(102, 138, 108, 144)
	L = (1, 76)(2, 80)(3, 82)(4, 73)(5, 85)(6, 89)(7, 90)(8, 74)(9, 94)(10, 75)(11, 97)(12, 91)(13, 77)(14, 98)(15, 100)(16, 101)(17, 78)(18, 79)(19, 84)(20, 102)(21, 105)(22, 81)(23, 104)(24, 106)(25, 83)(26, 86)(27, 107)(28, 87)(29, 88)(30, 92)(31, 108)(32, 95)(33, 93)(34, 96)(35, 99)(36, 103)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 4, 6, 4, 6 ), ( 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible
Dual of E10.438
Graph:: simple bipartite
	v = 24 e = 72 f = 30
	degree seq :: [ 4^18, 12^6 ]

E10.446 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 6})
Quotient :: dipole
Aut^+ = C6 x S3 (small group id <36, 12>)
Aut   = C2 x S3 x S3 (small group id <72, 46>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, (R * Y2)^2, (Y3 * Y2)^2, (R * Y3)^2, (R * Y1)^2, Y2 * Y1^-1 * Y2 * Y3 * Y1 * Y3, Y3 * Y1^2 * Y3 * Y1^-2, (Y3 * Y1^-1)^3, Y2 * Y1^2 * Y2 * Y1^-2, Y1^6 ]
Map:: polytopal non-degenerate
	R = (1, 37, 2, 38, 6, 42, 17, 53, 16, 52, 5, 41)(3, 39, 9, 45, 18, 54, 32, 68, 28, 64, 11, 47)(4, 40, 12, 48, 19, 55, 34, 70, 29, 65, 13, 49)(7, 43, 20, 56, 30, 66, 26, 62, 14, 50, 22, 58)(8, 44, 23, 59, 31, 67, 25, 61, 15, 51, 24, 60)(10, 46, 21, 57, 33, 69, 36, 72, 35, 71, 27, 63)(73, 109, 75, 111)(74, 110, 79, 115)(76, 112, 82, 118)(77, 113, 86, 122)(78, 114, 90, 126)(80, 116, 93, 129)(81, 117, 97, 133)(83, 119, 95, 131)(84, 120, 98, 134)(85, 121, 92, 128)(87, 123, 99, 135)(88, 124, 100, 136)(89, 125, 102, 138)(91, 127, 105, 141)(94, 130, 106, 142)(96, 132, 104, 140)(101, 137, 107, 143)(103, 139, 108, 144)
	L = (1, 76)(2, 80)(3, 82)(4, 73)(5, 87)(6, 91)(7, 93)(8, 74)(9, 98)(10, 75)(11, 92)(12, 97)(13, 95)(14, 99)(15, 77)(16, 101)(17, 103)(18, 105)(19, 78)(20, 83)(21, 79)(22, 104)(23, 85)(24, 106)(25, 84)(26, 81)(27, 86)(28, 107)(29, 88)(30, 108)(31, 89)(32, 94)(33, 90)(34, 96)(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) :: { ( 4, 6, 4, 6 ), ( 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible
Dual of E10.435
Graph:: simple bipartite
	v = 24 e = 72 f = 30
	degree seq :: [ 4^18, 12^6 ]

E10.447 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 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 :: [ Y2^2, R^2, (R * Y1)^2, (Y3 * Y2)^2, (Y3, Y1), (R * Y3)^2, Y2 * Y1 * Y2 * Y1^-1, Y3^3 * Y1^3, Y3^-3 * Y1^3, (R * Y2 * Y3^-1)^2, Y1^6 ]
Map:: polytopal non-degenerate
	R = (1, 37, 2, 38, 7, 43, 19, 55, 16, 52, 5, 41)(3, 39, 8, 44, 20, 56, 32, 68, 29, 65, 12, 48)(4, 40, 9, 45, 21, 57, 18, 54, 26, 62, 15, 51)(6, 42, 10, 46, 22, 58, 14, 50, 25, 61, 17, 53)(11, 47, 23, 59, 33, 69, 31, 67, 36, 72, 28, 64)(13, 49, 24, 60, 34, 70, 27, 63, 35, 71, 30, 66)(73, 109, 75, 111)(74, 110, 80, 116)(76, 112, 85, 121)(77, 113, 84, 120)(78, 114, 83, 119)(79, 115, 92, 128)(81, 117, 96, 132)(82, 118, 95, 131)(86, 122, 103, 139)(87, 123, 102, 138)(88, 124, 101, 137)(89, 125, 100, 136)(90, 126, 99, 135)(91, 127, 104, 140)(93, 129, 106, 142)(94, 130, 105, 141)(97, 133, 108, 144)(98, 134, 107, 143)
	L = (1, 76)(2, 81)(3, 83)(4, 86)(5, 87)(6, 73)(7, 93)(8, 95)(9, 97)(10, 74)(11, 99)(12, 100)(13, 75)(14, 91)(15, 94)(16, 98)(17, 77)(18, 78)(19, 90)(20, 105)(21, 89)(22, 79)(23, 107)(24, 80)(25, 88)(26, 82)(27, 104)(28, 106)(29, 108)(30, 84)(31, 85)(32, 103)(33, 102)(34, 92)(35, 101)(36, 96)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 4, 6, 4, 6 ), ( 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible
Dual of E10.439
Graph:: simple bipartite
	v = 24 e = 72 f = 30
	degree seq :: [ 4^18, 12^6 ]

E10.448 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 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 :: [ Y2^2, R^2, (Y2 * Y3)^2, (R * Y1)^2, (R * Y3)^2, (Y3^-1, Y1^-1), Y3^-3 * Y1^3, Y3^-1 * Y2 * Y1^-2 * Y2 * Y1^-1, (R * Y2 * Y3^-1)^2, Y2 * Y1 * Y3^-1 * Y1 * Y2 * Y1, Y3^2 * Y2 * Y1 * Y2 * Y1^-1, Y1^6 ]
Map:: polytopal non-degenerate
	R = (1, 37, 2, 38, 7, 43, 21, 57, 18, 54, 5, 41)(3, 39, 11, 47, 31, 67, 34, 70, 28, 64, 13, 49)(4, 40, 9, 45, 23, 59, 20, 56, 30, 66, 16, 52)(6, 42, 10, 46, 24, 60, 15, 51, 29, 65, 19, 55)(8, 44, 25, 61, 12, 48, 32, 68, 36, 72, 27, 63)(14, 50, 26, 62, 17, 53, 33, 69, 35, 71, 22, 58)(73, 109, 75, 111)(74, 110, 80, 116)(76, 112, 86, 122)(77, 113, 89, 125)(78, 114, 84, 120)(79, 115, 94, 130)(81, 117, 100, 136)(82, 118, 98, 134)(83, 119, 102, 138)(85, 121, 96, 132)(87, 123, 99, 135)(88, 124, 97, 133)(90, 126, 104, 140)(91, 127, 103, 139)(92, 128, 105, 141)(93, 129, 106, 142)(95, 131, 108, 144)(101, 137, 107, 143)
	L = (1, 76)(2, 81)(3, 84)(4, 87)(5, 88)(6, 73)(7, 95)(8, 98)(9, 101)(10, 74)(11, 104)(12, 105)(13, 97)(14, 75)(15, 93)(16, 96)(17, 103)(18, 102)(19, 77)(20, 78)(21, 92)(22, 85)(23, 91)(24, 79)(25, 89)(26, 83)(27, 86)(28, 80)(29, 90)(30, 82)(31, 108)(32, 107)(33, 106)(34, 99)(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) :: { ( 4, 6, 4, 6 ), ( 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible
Dual of E10.440
Graph:: simple bipartite
	v = 24 e = 72 f = 30
	degree seq :: [ 4^18, 12^6 ]

E10.449 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 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 :: [ Y2^2, R^2, (Y3, Y1^-1), (R * Y1)^2, (R * Y3)^2, (Y3 * Y2)^2, Y3^-3 * Y1^3, Y3^3 * Y1^3, Y3^-1 * Y2 * Y1^-1 * Y2 * Y1^-2, Y1^6, Y2 * Y1 * Y3 * Y2 * Y3^-1 * Y1^-1, (R * Y2 * Y3^-1)^2 ]
Map:: polytopal non-degenerate
	R = (1, 37, 2, 38, 7, 43, 21, 57, 18, 54, 5, 41)(3, 39, 11, 47, 31, 67, 34, 70, 26, 62, 13, 49)(4, 40, 9, 45, 23, 59, 20, 56, 30, 66, 16, 52)(6, 42, 10, 46, 24, 60, 15, 51, 29, 65, 19, 55)(8, 44, 25, 61, 14, 50, 32, 68, 35, 71, 27, 63)(12, 48, 28, 64, 17, 53, 33, 69, 36, 72, 22, 58)(73, 109, 75, 111)(74, 110, 80, 116)(76, 112, 86, 122)(77, 113, 89, 125)(78, 114, 84, 120)(79, 115, 94, 130)(81, 117, 100, 136)(82, 118, 98, 134)(83, 119, 101, 137)(85, 121, 95, 131)(87, 123, 105, 141)(88, 124, 103, 139)(90, 126, 104, 140)(91, 127, 97, 133)(92, 128, 99, 135)(93, 129, 106, 142)(96, 132, 107, 143)(102, 138, 108, 144)
	L = (1, 76)(2, 81)(3, 84)(4, 87)(5, 88)(6, 73)(7, 95)(8, 98)(9, 101)(10, 74)(11, 100)(12, 99)(13, 94)(14, 75)(15, 93)(16, 96)(17, 97)(18, 102)(19, 77)(20, 78)(21, 92)(22, 107)(23, 91)(24, 79)(25, 85)(26, 108)(27, 106)(28, 80)(29, 90)(30, 82)(31, 89)(32, 83)(33, 86)(34, 105)(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) :: { ( 4, 6, 4, 6 ), ( 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible
Dual of E10.431
Graph:: simple bipartite
	v = 24 e = 72 f = 30
	degree seq :: [ 4^18, 12^6 ]

E10.450 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 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 :: [ Y2^2, R^2, (R * Y1)^2, (Y3 * Y2)^2, Y3^2 * Y1^-2, (R * Y3)^2, (Y2 * Y1)^2, (R * Y2 * Y3^-1)^2, Y3^2 * Y1^4, Y3 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1^-1, (Y3^-1 * Y1^-1)^3 ]
Map:: polytopal non-degenerate
	R = (1, 37, 2, 38, 7, 43, 19, 55, 16, 52, 5, 41)(3, 39, 11, 47, 27, 63, 32, 68, 20, 56, 8, 44)(4, 40, 14, 50, 21, 57, 18, 54, 6, 42, 15, 51)(9, 45, 24, 60, 17, 53, 26, 62, 10, 46, 25, 61)(12, 48, 29, 65, 33, 69, 31, 67, 13, 49, 30, 66)(22, 58, 34, 70, 28, 64, 36, 72, 23, 59, 35, 71)(73, 109, 75, 111)(74, 110, 80, 116)(76, 112, 85, 121)(77, 113, 83, 119)(78, 114, 84, 120)(79, 115, 92, 128)(81, 117, 95, 131)(82, 118, 94, 130)(86, 122, 103, 139)(87, 123, 102, 138)(88, 124, 99, 135)(89, 125, 100, 136)(90, 126, 101, 137)(91, 127, 104, 140)(93, 129, 105, 141)(96, 132, 108, 144)(97, 133, 107, 143)(98, 134, 106, 142)
	L = (1, 76)(2, 81)(3, 84)(4, 79)(5, 82)(6, 73)(7, 93)(8, 94)(9, 91)(10, 74)(11, 100)(12, 99)(13, 75)(14, 96)(15, 97)(16, 78)(17, 77)(18, 98)(19, 89)(20, 85)(21, 88)(22, 83)(23, 80)(24, 90)(25, 86)(26, 87)(27, 105)(28, 104)(29, 108)(30, 106)(31, 107)(32, 95)(33, 92)(34, 101)(35, 102)(36, 103)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 4, 6, 4, 6 ), ( 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible
Dual of E10.442
Graph:: simple bipartite
	v = 24 e = 72 f = 30
	degree seq :: [ 4^18, 12^6 ]

E10.451 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 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 :: [ Y2^2, R^2, Y3^-1 * Y1^-2 * Y3^-1, (R * Y1)^2, (R * Y3)^2, (Y2 * Y1^-1)^2, (Y3 * Y2)^2, Y3^-2 * Y1^4, (Y3 * Y1)^3, (R * Y2 * Y3^-1)^2, (Y3 * Y1^-1)^3 ]
Map:: polytopal non-degenerate
	R = (1, 37, 2, 38, 7, 43, 19, 55, 15, 51, 5, 41)(3, 39, 11, 47, 27, 63, 32, 68, 20, 56, 8, 44)(4, 40, 14, 50, 6, 42, 18, 54, 21, 57, 16, 52)(9, 45, 24, 60, 10, 46, 26, 62, 17, 53, 25, 61)(12, 48, 29, 65, 13, 49, 31, 67, 33, 69, 30, 66)(22, 58, 34, 70, 23, 59, 36, 72, 28, 64, 35, 71)(73, 109, 75, 111)(74, 110, 80, 116)(76, 112, 85, 121)(77, 113, 83, 119)(78, 114, 84, 120)(79, 115, 92, 128)(81, 117, 95, 131)(82, 118, 94, 130)(86, 122, 101, 137)(87, 123, 99, 135)(88, 124, 103, 139)(89, 125, 100, 136)(90, 126, 102, 138)(91, 127, 104, 140)(93, 129, 105, 141)(96, 132, 106, 142)(97, 133, 108, 144)(98, 134, 107, 143)
	L = (1, 76)(2, 81)(3, 84)(4, 87)(5, 89)(6, 73)(7, 78)(8, 94)(9, 77)(10, 74)(11, 95)(12, 92)(13, 75)(14, 97)(15, 93)(16, 98)(17, 91)(18, 96)(19, 82)(20, 105)(21, 79)(22, 104)(23, 80)(24, 86)(25, 88)(26, 90)(27, 85)(28, 83)(29, 106)(30, 107)(31, 108)(32, 100)(33, 99)(34, 102)(35, 103)(36, 101)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 4, 6, 4, 6 ), ( 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible
Dual of E10.433
Graph:: simple bipartite
	v = 24 e = 72 f = 30
	degree seq :: [ 4^18, 12^6 ]

E10.452 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 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 :: [ 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 * Y1^2 * Y3 * Y1^-2, (Y3 * Y1^-1)^3, Y1^6, (Y2 * Y1^-2)^2 ]
Map:: polytopal non-degenerate
	R = (1, 37, 2, 38, 6, 42, 17, 53, 16, 52, 5, 41)(3, 39, 9, 45, 25, 61, 33, 69, 18, 54, 11, 47)(4, 40, 12, 48, 19, 55, 34, 70, 29, 65, 13, 49)(7, 43, 20, 56, 14, 50, 28, 64, 30, 66, 22, 58)(8, 44, 23, 59, 31, 67, 27, 63, 15, 51, 24, 60)(10, 46, 26, 62, 35, 71, 36, 72, 32, 68, 21, 57)(73, 109, 75, 111)(74, 110, 79, 115)(76, 112, 82, 118)(77, 113, 86, 122)(78, 114, 90, 126)(80, 116, 93, 129)(81, 117, 95, 131)(83, 119, 99, 135)(84, 120, 100, 136)(85, 121, 94, 130)(87, 123, 98, 134)(88, 124, 97, 133)(89, 125, 102, 138)(91, 127, 104, 140)(92, 128, 106, 142)(96, 132, 105, 141)(101, 137, 107, 143)(103, 139, 108, 144)
	L = (1, 76)(2, 80)(3, 82)(4, 73)(5, 87)(6, 91)(7, 93)(8, 74)(9, 94)(10, 75)(11, 100)(12, 99)(13, 95)(14, 98)(15, 77)(16, 101)(17, 103)(18, 104)(19, 78)(20, 105)(21, 79)(22, 81)(23, 85)(24, 106)(25, 107)(26, 86)(27, 84)(28, 83)(29, 88)(30, 108)(31, 89)(32, 90)(33, 92)(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, 6, 4, 6 ), ( 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible
Dual of E10.437
Graph:: simple bipartite
	v = 24 e = 72 f = 30
	degree seq :: [ 4^18, 12^6 ]

E10.453 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 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 :: [ Y2^2, R^2, (Y3 * Y2)^2, (R * Y1)^2, Y3^2 * Y1^-2, (R * Y3)^2, Y2 * Y1 * Y2 * Y1 * Y3^-1 * Y1, (Y3^-1 * Y2 * Y1^-1)^2, Y3^2 * Y1^4, (R * Y2 * Y3^-1)^2, Y3 * Y2 * Y1^-1 * Y2 * Y3^-1 * Y1^-1, (Y3^-1 * Y1^-1)^3 ]
Map:: polytopal non-degenerate
	R = (1, 37, 2, 38, 7, 43, 21, 57, 18, 54, 5, 41)(3, 39, 11, 47, 31, 67, 35, 71, 22, 58, 13, 49)(4, 40, 15, 51, 23, 59, 20, 56, 6, 42, 16, 52)(8, 44, 24, 60, 17, 53, 32, 68, 34, 70, 26, 62)(9, 45, 28, 64, 19, 55, 30, 66, 10, 46, 29, 65)(12, 48, 33, 69, 36, 72, 27, 63, 14, 50, 25, 61)(73, 109, 75, 111)(74, 110, 80, 116)(76, 112, 86, 122)(77, 113, 89, 125)(78, 114, 84, 120)(79, 115, 94, 130)(81, 117, 99, 135)(82, 118, 97, 133)(83, 119, 102, 138)(85, 121, 101, 137)(87, 123, 98, 134)(88, 124, 96, 132)(90, 126, 103, 139)(91, 127, 105, 141)(92, 128, 104, 140)(93, 129, 106, 142)(95, 131, 108, 144)(100, 136, 107, 143)
	L = (1, 76)(2, 81)(3, 84)(4, 79)(5, 82)(6, 73)(7, 95)(8, 97)(9, 93)(10, 74)(11, 104)(12, 103)(13, 96)(14, 75)(15, 100)(16, 101)(17, 105)(18, 78)(19, 77)(20, 102)(21, 91)(22, 86)(23, 90)(24, 83)(25, 89)(26, 85)(27, 80)(28, 92)(29, 87)(30, 88)(31, 108)(32, 107)(33, 106)(34, 99)(35, 98)(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 ) }
Outer automorphisms :: reflexible
Dual of E10.441
Graph:: simple bipartite
	v = 24 e = 72 f = 30
	degree seq :: [ 4^18, 12^6 ]

E10.454 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 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 :: [ Y2^2, R^2, (Y3 * Y2)^2, Y3^-2 * Y1^-2, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, (Y3 * Y1)^3, Y2 * Y3 * Y1 * Y3 * Y2 * Y1^-1, Y1^-2 * Y3^2 * Y1^-2, Y3^2 * Y2 * Y1^-2 * Y2, (Y3 * Y1^-1)^3 ]
Map:: polytopal non-degenerate
	R = (1, 37, 2, 38, 7, 43, 21, 57, 16, 52, 5, 41)(3, 39, 11, 47, 31, 67, 36, 72, 22, 58, 13, 49)(4, 40, 15, 51, 6, 42, 20, 56, 23, 59, 17, 53)(8, 44, 24, 60, 18, 54, 32, 68, 34, 70, 26, 62)(9, 45, 28, 64, 10, 46, 30, 66, 19, 55, 29, 65)(12, 48, 27, 63, 14, 50, 33, 69, 35, 71, 25, 61)(73, 109, 75, 111)(74, 110, 80, 116)(76, 112, 86, 122)(77, 113, 90, 126)(78, 114, 84, 120)(79, 115, 94, 130)(81, 117, 99, 135)(82, 118, 97, 133)(83, 119, 101, 137)(85, 121, 100, 136)(87, 123, 96, 132)(88, 124, 103, 139)(89, 125, 104, 140)(91, 127, 105, 141)(92, 128, 98, 134)(93, 129, 106, 142)(95, 131, 107, 143)(102, 138, 108, 144)
	L = (1, 76)(2, 81)(3, 84)(4, 88)(5, 91)(6, 73)(7, 78)(8, 97)(9, 77)(10, 74)(11, 96)(12, 94)(13, 98)(14, 75)(15, 101)(16, 95)(17, 102)(18, 99)(19, 93)(20, 100)(21, 82)(22, 107)(23, 79)(24, 85)(25, 106)(26, 108)(27, 80)(28, 87)(29, 89)(30, 92)(31, 86)(32, 83)(33, 90)(34, 105)(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) :: { ( 4, 6, 4, 6 ), ( 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible
Dual of E10.432
Graph:: simple bipartite
	v = 24 e = 72 f = 30
	degree seq :: [ 4^18, 12^6 ]

E10.455 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 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 :: [ R^2, Y3^2, Y1^3, R * Y2 * R * Y2^-1, (R * Y3)^2, (Y3 * Y1^-1)^2, (Y2^-1 * Y3)^2, (R * Y1)^2, Y2^-1 * Y1 * Y2 * Y1, Y2^6 ]
Map:: polytopal non-degenerate
	R = (1, 37, 2, 38, 5, 41)(3, 39, 10, 46, 7, 43)(4, 40, 13, 49, 8, 44)(6, 42, 15, 51, 9, 45)(11, 47, 17, 53, 21, 57)(12, 48, 18, 54, 22, 58)(14, 50, 19, 55, 25, 61)(16, 52, 20, 56, 27, 63)(23, 59, 31, 67, 28, 64)(24, 60, 32, 68, 29, 65)(26, 62, 34, 70, 30, 66)(33, 69, 35, 71, 36, 72)(73, 109, 75, 111, 83, 119, 95, 131, 88, 124, 78, 114)(74, 110, 79, 115, 89, 125, 100, 136, 92, 128, 81, 117)(76, 112, 86, 122, 98, 134, 105, 141, 96, 132, 84, 120)(77, 113, 82, 118, 93, 129, 103, 139, 99, 135, 87, 123)(80, 116, 91, 127, 102, 138, 107, 143, 101, 137, 90, 126)(85, 121, 97, 133, 106, 142, 108, 144, 104, 140, 94, 130)
	L = (1, 76)(2, 80)(3, 84)(4, 73)(5, 85)(6, 86)(7, 90)(8, 74)(9, 91)(10, 94)(11, 96)(12, 75)(13, 77)(14, 78)(15, 97)(16, 98)(17, 101)(18, 79)(19, 81)(20, 102)(21, 104)(22, 82)(23, 105)(24, 83)(25, 87)(26, 88)(27, 106)(28, 107)(29, 89)(30, 92)(31, 108)(32, 93)(33, 95)(34, 99)(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) :: { ( 4^6 ), ( 4^12 ) }
Outer automorphisms :: reflexible
Dual of E10.430
Graph:: simple bipartite
	v = 18 e = 72 f = 36
	degree seq :: [ 6^12, 12^6 ]

E10.456 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 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, Y1^3, Y1 * Y3^-2, (R * Y1)^2, (R * Y3)^2, (Y3 * Y2^-1)^2, (Y2^-1 * Y1^-1)^2, (Y3^-1 * Y1^-1)^2, (R * Y2 * Y3^-1)^2, Y2 * Y1^-1 * Y3^-1 * Y2^-1 * Y3^-1 * Y1^-1, Y2^-3 * Y1^-1 * Y2 * Y1^-1, Y2^6 ]
Map:: polytopal non-degenerate
	R = (1, 37, 2, 38, 5, 41)(3, 39, 11, 47, 14, 50)(4, 40, 9, 45, 7, 43)(6, 42, 18, 54, 8, 44)(10, 46, 26, 62, 17, 53)(12, 48, 23, 59, 31, 67)(13, 49, 25, 61, 15, 51)(16, 52, 22, 58, 28, 64)(19, 55, 24, 60, 21, 57)(20, 56, 27, 63, 29, 65)(30, 66, 35, 71, 32, 68)(33, 69, 34, 70, 36, 72)(73, 109, 75, 111, 84, 120, 98, 134, 92, 128, 78, 114)(74, 110, 80, 116, 95, 131, 86, 122, 99, 135, 82, 118)(76, 112, 88, 124, 102, 138, 93, 129, 106, 142, 87, 123)(77, 113, 89, 125, 103, 139, 90, 126, 101, 137, 83, 119)(79, 115, 91, 127, 104, 140, 85, 121, 105, 141, 94, 130)(81, 117, 97, 133, 107, 143, 100, 136, 108, 144, 96, 132)
	L = (1, 76)(2, 81)(3, 85)(4, 74)(5, 79)(6, 91)(7, 73)(8, 93)(9, 77)(10, 88)(11, 97)(12, 102)(13, 83)(14, 87)(15, 75)(16, 98)(17, 100)(18, 96)(19, 90)(20, 106)(21, 78)(22, 89)(23, 107)(24, 80)(25, 86)(26, 94)(27, 108)(28, 82)(29, 105)(30, 95)(31, 104)(32, 84)(33, 92)(34, 99)(35, 103)(36, 101)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 4^6 ), ( 4^12 ) }
Outer automorphisms :: reflexible
Dual of E10.429
Graph:: simple bipartite
	v = 18 e = 72 f = 36
	degree seq :: [ 6^12, 12^6 ]

E10.457 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 3, 6})
Quotient :: halfedge^2
Aut^+ = C6 x S3 (small group id <36, 12>)
Aut   = (C6 x S3) : C2 (small group id <72, 23>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, R * Y3 * R * Y2, (R * Y1)^2, (Y2 * Y3)^2, Y1^-3 * Y3 * Y2, Y2 * Y1 * Y3 * Y1 * Y3 * Y1^-1 * Y2 * Y1^-1, Y2 * Y1^-1 * Y3 * Y1 * Y3 * Y1 * Y2 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 38, 2, 42, 6, 46, 10, 52, 16, 41, 5, 37)(3, 45, 9, 49, 13, 40, 4, 48, 12, 47, 11, 39)(7, 53, 17, 56, 20, 44, 8, 55, 19, 54, 18, 43)(14, 61, 25, 64, 28, 51, 15, 63, 27, 62, 26, 50)(21, 65, 29, 70, 34, 58, 22, 66, 30, 69, 33, 57)(23, 67, 31, 72, 36, 60, 24, 68, 32, 71, 35, 59)
	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, 33)(26, 35)(27, 34)(28, 36)(37, 40)(38, 44)(39, 46)(41, 51)(42, 50)(43, 52)(45, 58)(47, 60)(48, 57)(49, 59)(53, 66)(54, 68)(55, 65)(56, 67)(61, 70)(62, 72)(63, 69)(64, 71)
	local type(s) :: { ( 6^12 ) }
Outer automorphisms :: reflexible
Dual of E10.458
Transitivity :: VT+ AT
Graph:: bipartite
	v = 6 e = 36 f = 12
	degree seq :: [ 12^6 ]

E10.458 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 3, 6})
Quotient :: halfedge^2
Aut^+ = C6 x S3 (small group id <36, 12>)
Aut   = (C6 x S3) : C2 (small group id <72, 23>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, Y1^3, (Y3 * Y2)^2, R * Y3 * R * Y2, (R * Y1)^2, Y2 * Y1 * Y3 * Y2 * Y1^-1 * Y3, Y3 * Y1 * Y3 * Y1 * Y2 * Y1^-1 * Y2 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 38, 2, 41, 5, 37)(3, 44, 8, 46, 10, 39)(4, 47, 11, 48, 12, 40)(6, 51, 15, 53, 17, 42)(7, 54, 18, 55, 19, 43)(9, 52, 16, 58, 22, 45)(13, 61, 25, 62, 26, 49)(14, 63, 27, 64, 28, 50)(20, 65, 29, 69, 33, 56)(21, 66, 30, 70, 34, 57)(23, 67, 31, 71, 35, 59)(24, 68, 32, 72, 36, 60)
	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, 33)(26, 35)(27, 34)(28, 36)(37, 40)(38, 43)(39, 45)(41, 50)(42, 52)(44, 57)(46, 60)(47, 56)(48, 59)(49, 58)(51, 66)(53, 68)(54, 65)(55, 67)(61, 70)(62, 72)(63, 69)(64, 71)
	local type(s) :: { ( 12^6 ) }
Outer automorphisms :: reflexible
Dual of E10.457
Transitivity :: VT+ AT
Graph:: simple bipartite
	v = 12 e = 36 f = 6
	degree seq :: [ 6^12 ]

E10.459 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 3, 6})
Quotient :: edge^2
Aut^+ = C6 x S3 (small group id <36, 12>)
Aut   = (C6 x S3) : C2 (small group id <72, 23>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^3, (Y2 * Y1)^2, R * Y1 * R * Y2, (R * Y3)^2, Y1 * Y3 * Y1 * Y2 * Y3^-1 * Y2, Y3 * Y2 * Y3 * Y1 * Y3^-1 * Y2 * Y3^-1 * Y1, Y3 * Y2 * Y3^-1 * Y1 * Y3^-1 * Y2 * Y3 * Y1 ]
Map::
	R = (1, 37, 4, 40, 5, 41)(2, 38, 7, 43, 8, 44)(3, 39, 9, 45, 10, 46)(6, 42, 15, 51, 16, 52)(11, 47, 21, 57, 22, 58)(12, 48, 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)(75, 78)(76, 83)(77, 85)(79, 89)(80, 91)(81, 90)(82, 92)(84, 87)(86, 88)(93, 101)(94, 105)(95, 103)(96, 107)(97, 102)(98, 106)(99, 104)(100, 108)(109, 111)(110, 114)(112, 120)(113, 122)(115, 126)(116, 128)(117, 125)(118, 127)(119, 123)(121, 124)(129, 139)(130, 143)(131, 137)(132, 141)(133, 140)(134, 144)(135, 138)(136, 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 ), ( 24^6 ) }
Outer automorphisms :: reflexible
Dual of E10.462
Graph:: simple bipartite
	v = 48 e = 72 f = 6
	degree seq :: [ 2^36, 6^12 ]

E10.460 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 3, 6})
Quotient :: edge^2
Aut^+ = C6 x S3 (small group id <36, 12>)
Aut   = (C6 x S3) : C2 (small group id <72, 23>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, R * Y2 * R * Y1, (R * Y3)^2, (Y1 * Y2)^2, Y3^-1 * Y1 * Y2 * Y3^-2, Y3^-1 * Y2 * Y3 * Y1 * Y3 * Y2 * Y3^-1 * Y1, Y3 * Y1 * Y3 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1, Y3 * Y2 * Y3 * Y1 * Y3^-1 * Y2 * Y3^-1 * Y1 ]
Map::
	R = (1, 37, 4, 40, 13, 49, 6, 42, 16, 52, 5, 41)(2, 38, 7, 43, 10, 46, 3, 39, 9, 45, 8, 44)(11, 47, 21, 57, 24, 60, 12, 48, 23, 59, 22, 58)(14, 50, 25, 61, 28, 64, 15, 51, 27, 63, 26, 62)(17, 53, 29, 65, 32, 68, 18, 54, 31, 67, 30, 66)(19, 55, 33, 69, 36, 72, 20, 56, 35, 71, 34, 70)(73, 74)(75, 78)(76, 83)(77, 86)(79, 89)(80, 91)(81, 90)(82, 92)(84, 88)(85, 87)(93, 101)(94, 105)(95, 103)(96, 107)(97, 102)(98, 106)(99, 104)(100, 108)(109, 111)(110, 114)(112, 120)(113, 123)(115, 126)(116, 128)(117, 125)(118, 127)(119, 124)(121, 122)(129, 139)(130, 143)(131, 137)(132, 141)(133, 140)(134, 144)(135, 138)(136, 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, 12 ), ( 12^12 ) }
Outer automorphisms :: reflexible
Dual of E10.461
Graph:: simple bipartite
	v = 42 e = 72 f = 12
	degree seq :: [ 2^36, 12^6 ]

E10.461 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 3, 6})
Quotient :: loop^2
Aut^+ = C6 x S3 (small group id <36, 12>)
Aut   = (C6 x S3) : C2 (small group id <72, 23>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^3, (Y2 * Y1)^2, R * Y1 * R * Y2, (R * Y3)^2, Y1 * Y3 * Y1 * Y2 * Y3^-1 * Y2, Y3 * Y2 * Y3 * Y1 * Y3^-1 * Y2 * Y3^-1 * Y1, Y3 * Y2 * Y3^-1 * Y1 * Y3^-1 * Y2 * Y3 * Y1 ]
Map::
	R = (1, 37, 73, 109, 4, 40, 76, 112, 5, 41, 77, 113)(2, 38, 74, 110, 7, 43, 79, 115, 8, 44, 80, 116)(3, 39, 75, 111, 9, 45, 81, 117, 10, 46, 82, 118)(6, 42, 78, 114, 15, 51, 87, 123, 16, 52, 88, 124)(11, 47, 83, 119, 21, 57, 93, 129, 22, 58, 94, 130)(12, 48, 84, 120, 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, 37)(3, 42)(4, 47)(5, 49)(6, 39)(7, 53)(8, 55)(9, 54)(10, 56)(11, 40)(12, 51)(13, 41)(14, 52)(15, 48)(16, 50)(17, 43)(18, 45)(19, 44)(20, 46)(21, 65)(22, 69)(23, 67)(24, 71)(25, 66)(26, 70)(27, 68)(28, 72)(29, 57)(30, 61)(31, 59)(32, 63)(33, 58)(34, 62)(35, 60)(36, 64)(73, 111)(74, 114)(75, 109)(76, 120)(77, 122)(78, 110)(79, 126)(80, 128)(81, 125)(82, 127)(83, 123)(84, 112)(85, 124)(86, 113)(87, 119)(88, 121)(89, 117)(90, 115)(91, 118)(92, 116)(93, 139)(94, 143)(95, 137)(96, 141)(97, 140)(98, 144)(99, 138)(100, 142)(101, 131)(102, 135)(103, 129)(104, 133)(105, 132)(106, 136)(107, 130)(108, 134)
	local type(s) :: { ( 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12 ) }
Outer automorphisms :: reflexible
Dual of E10.460
Transitivity :: VT+
Graph:: bipartite
	v = 12 e = 72 f = 42
	degree seq :: [ 12^12 ]

E10.462 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 3, 6})
Quotient :: loop^2
Aut^+ = C6 x S3 (small group id <36, 12>)
Aut   = (C6 x S3) : C2 (small group id <72, 23>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, R * Y2 * R * Y1, (R * Y3)^2, (Y1 * Y2)^2, Y3^-1 * Y1 * Y2 * Y3^-2, Y3^-1 * Y2 * Y3 * Y1 * Y3 * Y2 * Y3^-1 * Y1, Y3 * Y1 * Y3 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1, Y3 * Y2 * Y3 * Y1 * Y3^-1 * Y2 * Y3^-1 * Y1 ]
Map::
	R = (1, 37, 73, 109, 4, 40, 76, 112, 13, 49, 85, 121, 6, 42, 78, 114, 16, 52, 88, 124, 5, 41, 77, 113)(2, 38, 74, 110, 7, 43, 79, 115, 10, 46, 82, 118, 3, 39, 75, 111, 9, 45, 81, 117, 8, 44, 80, 116)(11, 47, 83, 119, 21, 57, 93, 129, 24, 60, 96, 132, 12, 48, 84, 120, 23, 59, 95, 131, 22, 58, 94, 130)(14, 50, 86, 122, 25, 61, 97, 133, 28, 64, 100, 136, 15, 51, 87, 123, 27, 63, 99, 135, 26, 62, 98, 134)(17, 53, 89, 125, 29, 65, 101, 137, 32, 68, 104, 140, 18, 54, 90, 126, 31, 67, 103, 139, 30, 66, 102, 138)(19, 55, 91, 127, 33, 69, 105, 141, 36, 72, 108, 144, 20, 56, 92, 128, 35, 71, 107, 143, 34, 70, 106, 142)
	L = (1, 38)(2, 37)(3, 42)(4, 47)(5, 50)(6, 39)(7, 53)(8, 55)(9, 54)(10, 56)(11, 40)(12, 52)(13, 51)(14, 41)(15, 49)(16, 48)(17, 43)(18, 45)(19, 44)(20, 46)(21, 65)(22, 69)(23, 67)(24, 71)(25, 66)(26, 70)(27, 68)(28, 72)(29, 57)(30, 61)(31, 59)(32, 63)(33, 58)(34, 62)(35, 60)(36, 64)(73, 111)(74, 114)(75, 109)(76, 120)(77, 123)(78, 110)(79, 126)(80, 128)(81, 125)(82, 127)(83, 124)(84, 112)(85, 122)(86, 121)(87, 113)(88, 119)(89, 117)(90, 115)(91, 118)(92, 116)(93, 139)(94, 143)(95, 137)(96, 141)(97, 140)(98, 144)(99, 138)(100, 142)(101, 131)(102, 135)(103, 129)(104, 133)(105, 132)(106, 136)(107, 130)(108, 134)
	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 E10.459
Transitivity :: VT+
Graph:: bipartite
	v = 6 e = 72 f = 48
	degree seq :: [ 24^6 ]

E10.463 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 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, Y2^3, (R * Y3)^2, (R * Y1)^2, (Y3^-1, Y2^-1), (R * Y2)^2, (Y3^-1 * Y1)^2, (Y2^-1 * Y1)^2, Y3^6 ]
Map:: polytopal 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, 20, 56)(13, 49, 22, 58)(14, 50, 18, 54)(15, 51, 17, 53)(16, 52, 19, 55)(23, 59, 32, 68)(24, 60, 31, 67)(25, 61, 30, 66)(26, 62, 29, 65)(27, 63, 28, 64)(33, 69, 36, 72)(34, 70, 35, 71)(73, 109, 75, 111, 77, 113)(74, 110, 79, 115, 81, 117)(76, 112, 83, 119, 86, 122)(78, 114, 84, 120, 87, 123)(80, 116, 89, 125, 92, 128)(82, 118, 90, 126, 93, 129)(85, 121, 95, 131, 98, 134)(88, 124, 96, 132, 99, 135)(91, 127, 100, 136, 103, 139)(94, 130, 101, 137, 104, 140)(97, 133, 105, 141, 106, 142)(102, 138, 107, 143, 108, 144)
	L = (1, 76)(2, 80)(3, 83)(4, 85)(5, 86)(6, 73)(7, 89)(8, 91)(9, 92)(10, 74)(11, 95)(12, 75)(13, 97)(14, 98)(15, 77)(16, 78)(17, 100)(18, 79)(19, 102)(20, 103)(21, 81)(22, 82)(23, 105)(24, 84)(25, 88)(26, 106)(27, 87)(28, 107)(29, 90)(30, 94)(31, 108)(32, 93)(33, 96)(34, 99)(35, 101)(36, 104)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 4, 12, 4, 12 ), ( 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E10.464
Graph:: simple bipartite
	v = 30 e = 72 f = 24
	degree seq :: [ 4^18, 6^12 ]

E10.464 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 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 :: [ Y2^2, R^2, (R * Y1)^2, (Y3 * Y2)^2, (Y2 * Y1)^2, (R * Y3)^2, (Y3, Y1^-1), Y3^-3 * Y1^3, Y3^3 * Y1^3, (R * Y2 * Y3^-1)^2, Y1^6 ]
Map:: polytopal non-degenerate
	R = (1, 37, 2, 38, 7, 43, 19, 55, 16, 52, 5, 41)(3, 39, 11, 47, 27, 63, 32, 68, 20, 56, 8, 44)(4, 40, 9, 45, 21, 57, 18, 54, 26, 62, 15, 51)(6, 42, 10, 46, 22, 58, 14, 50, 25, 61, 17, 53)(12, 48, 28, 64, 36, 72, 31, 67, 33, 69, 23, 59)(13, 49, 29, 65, 35, 71, 30, 66, 34, 70, 24, 60)(73, 109, 75, 111)(74, 110, 80, 116)(76, 112, 85, 121)(77, 113, 83, 119)(78, 114, 84, 120)(79, 115, 92, 128)(81, 117, 96, 132)(82, 118, 95, 131)(86, 122, 103, 139)(87, 123, 101, 137)(88, 124, 99, 135)(89, 125, 100, 136)(90, 126, 102, 138)(91, 127, 104, 140)(93, 129, 106, 142)(94, 130, 105, 141)(97, 133, 108, 144)(98, 134, 107, 143)
	L = (1, 76)(2, 81)(3, 84)(4, 86)(5, 87)(6, 73)(7, 93)(8, 95)(9, 97)(10, 74)(11, 100)(12, 102)(13, 75)(14, 91)(15, 94)(16, 98)(17, 77)(18, 78)(19, 90)(20, 105)(21, 89)(22, 79)(23, 107)(24, 80)(25, 88)(26, 82)(27, 108)(28, 106)(29, 83)(30, 104)(31, 85)(32, 103)(33, 101)(34, 92)(35, 99)(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, 6, 4, 6 ), ( 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible
Dual of E10.463
Graph:: simple bipartite
	v = 24 e = 72 f = 30
	degree seq :: [ 4^18, 12^6 ]

E10.465 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {6, 6, 6})
Quotient :: edge
Aut^+ = C6 x S3 (small group id <36, 12>)
Aut   = C2 x S3 x S3 (small group id <72, 46>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, T2 * T1^-1 * T2^-1 * T1^-1, T2^6, T1^6 ]
Map:: non-degenerate
	R = (1, 3, 10, 21, 13, 5)(2, 7, 17, 28, 18, 8)(4, 9, 20, 30, 23, 12)(6, 15, 26, 34, 27, 16)(11, 19, 29, 35, 31, 22)(14, 24, 32, 36, 33, 25)(37, 38, 42, 50, 47, 40)(39, 45, 55, 60, 51, 43)(41, 48, 58, 61, 52, 44)(46, 53, 62, 68, 65, 56)(49, 54, 63, 69, 67, 59)(57, 66, 71, 72, 70, 64)
	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) :: { ( 12^6 ) }
Outer automorphisms :: reflexible
Dual of E10.467
Transitivity :: ET+
Graph:: simple bipartite
	v = 12 e = 36 f = 6
	degree seq :: [ 6^12 ]

E10.466 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {6, 6, 6})
Quotient :: edge
Aut^+ = C6 x S3 (small group id <36, 12>)
Aut   = C2 x S3 x S3 (small group id <72, 46>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, (T2 * T1^-1)^2, T1 * T2^3 * T1 * T2, (T1^-1 * T2^-1 * T1^-1)^2, T1^6 ]
Map:: non-degenerate
	R = (1, 3, 10, 19, 15, 5)(2, 7, 20, 14, 22, 8)(4, 11, 25, 9, 24, 13)(6, 17, 30, 21, 32, 18)(12, 27, 34, 26, 33, 23)(16, 28, 35, 31, 36, 29)(37, 38, 42, 52, 48, 40)(39, 45, 59, 64, 57, 44)(41, 47, 62, 65, 53, 50)(43, 55, 49, 63, 67, 54)(46, 56, 66, 71, 70, 61)(51, 58, 68, 72, 69, 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) :: { ( 12^6 ) }
Outer automorphisms :: reflexible
Dual of E10.468
Transitivity :: ET+
Graph:: simple bipartite
	v = 12 e = 36 f = 6
	degree seq :: [ 6^12 ]

E10.467 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {6, 6, 6})
Quotient :: loop
Aut^+ = C6 x S3 (small group id <36, 12>)
Aut   = C2 x S3 x S3 (small group id <72, 46>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, T2 * T1^-1 * T2^-1 * T1^-1, T2^6, T1^6 ]
Map:: non-degenerate
	R = (1, 37, 3, 39, 10, 46, 21, 57, 13, 49, 5, 41)(2, 38, 7, 43, 17, 53, 28, 64, 18, 54, 8, 44)(4, 40, 9, 45, 20, 56, 30, 66, 23, 59, 12, 48)(6, 42, 15, 51, 26, 62, 34, 70, 27, 63, 16, 52)(11, 47, 19, 55, 29, 65, 35, 71, 31, 67, 22, 58)(14, 50, 24, 60, 32, 68, 36, 72, 33, 69, 25, 61)
	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, 62)(18, 63)(19, 60)(20, 46)(21, 66)(22, 61)(23, 49)(24, 51)(25, 52)(26, 68)(27, 69)(28, 57)(29, 56)(30, 71)(31, 59)(32, 65)(33, 67)(34, 64)(35, 72)(36, 70)
	local type(s) :: { ( 6^12 ) }
Outer automorphisms :: reflexible
Dual of E10.465
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 6 e = 36 f = 12
	degree seq :: [ 12^6 ]

E10.468 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {6, 6, 6})
Quotient :: loop
Aut^+ = C6 x S3 (small group id <36, 12>)
Aut   = C2 x S3 x S3 (small group id <72, 46>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, (T2 * T1^-1)^2, T1 * T2^3 * T1 * T2, (T1^-1 * T2^-1 * T1^-1)^2, T1^6 ]
Map:: non-degenerate
	R = (1, 37, 3, 39, 10, 46, 19, 55, 15, 51, 5, 41)(2, 38, 7, 43, 20, 56, 14, 50, 22, 58, 8, 44)(4, 40, 11, 47, 25, 61, 9, 45, 24, 60, 13, 49)(6, 42, 17, 53, 30, 66, 21, 57, 32, 68, 18, 54)(12, 48, 27, 63, 34, 70, 26, 62, 33, 69, 23, 59)(16, 52, 28, 64, 35, 71, 31, 67, 36, 72, 29, 65)
	L = (1, 38)(2, 42)(3, 45)(4, 37)(5, 47)(6, 52)(7, 55)(8, 39)(9, 59)(10, 56)(11, 62)(12, 40)(13, 63)(14, 41)(15, 58)(16, 48)(17, 50)(18, 43)(19, 49)(20, 66)(21, 44)(22, 68)(23, 64)(24, 51)(25, 46)(26, 65)(27, 67)(28, 57)(29, 53)(30, 71)(31, 54)(32, 72)(33, 60)(34, 61)(35, 70)(36, 69)
	local type(s) :: { ( 6^12 ) }
Outer automorphisms :: reflexible
Dual of E10.466
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 6 e = 36 f = 12
	degree seq :: [ 12^6 ]

E10.469 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {6, 6, 6})
Quotient :: dipole
Aut^+ = C6 x S3 (small group id <36, 12>)
Aut   = C2 x S3 x S3 (small group id <72, 46>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1^-1, Y2 * Y1 * Y2 * Y1^-1, (R * Y1)^2, (R * Y3)^2, R * Y2 * R * Y2^-1, Y3 * Y2^-1 * Y3^-1 * Y2^-1, Y3^6, Y2^6, Y1^6 ]
Map::
	R = (1, 37, 2, 38, 6, 42, 14, 50, 12, 48, 4, 40)(3, 39, 8, 44, 15, 51, 25, 61, 21, 57, 10, 46)(5, 41, 7, 43, 16, 52, 24, 60, 23, 59, 11, 47)(9, 45, 18, 54, 26, 62, 33, 69, 30, 66, 20, 56)(13, 49, 17, 53, 27, 63, 32, 68, 31, 67, 22, 58)(19, 55, 28, 64, 34, 70, 36, 72, 35, 71, 29, 65)(73, 109, 75, 111, 81, 117, 91, 127, 85, 121, 77, 113)(74, 110, 79, 115, 89, 125, 100, 136, 90, 126, 80, 116)(76, 112, 83, 119, 94, 130, 101, 137, 92, 128, 82, 118)(78, 114, 87, 123, 98, 134, 106, 142, 99, 135, 88, 124)(84, 120, 93, 129, 102, 138, 107, 143, 103, 139, 95, 131)(86, 122, 96, 132, 104, 140, 108, 144, 105, 141, 97, 133)
	L = (1, 76)(2, 73)(3, 82)(4, 84)(5, 83)(6, 74)(7, 77)(8, 75)(9, 92)(10, 93)(11, 95)(12, 86)(13, 94)(14, 78)(15, 80)(16, 79)(17, 85)(18, 81)(19, 101)(20, 102)(21, 97)(22, 103)(23, 96)(24, 88)(25, 87)(26, 90)(27, 89)(28, 91)(29, 107)(30, 105)(31, 104)(32, 99)(33, 98)(34, 100)(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) :: { ( 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12 ) }
Outer automorphisms :: reflexible
Dual of E10.471
Graph:: bipartite
	v = 12 e = 72 f = 42
	degree seq :: [ 12^12 ]

E10.470 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {6, 6, 6})
Quotient :: dipole
Aut^+ = C6 x S3 (small group id <36, 12>)
Aut   = C2 x S3 x S3 (small group id <72, 46>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y3^-1, Y3 * Y2 * Y1^-1 * Y2, (R * Y1)^2, (R * Y3)^2, Y3 * Y2 * Y1^-1 * Y2, Y2^-1 * Y3 * Y2^-1 * Y3 * Y1^-2, Y2^6, (R * Y2 * Y3^-1)^2, Y3 * Y2^-1 * Y1 * Y3^-1 * Y2 * Y1^-1, Y2^-2 * Y3 * Y2^-2 * Y1^-1, Y1^6, Y2 * Y1 * Y2 * Y3 * Y2 * Y1 * Y2 * Y1 ]
Map::
	R = (1, 37, 2, 38, 6, 42, 16, 52, 12, 48, 4, 40)(3, 39, 9, 45, 17, 53, 13, 49, 21, 57, 8, 44)(5, 41, 11, 47, 18, 54, 7, 43, 19, 55, 14, 50)(10, 46, 24, 60, 28, 64, 22, 58, 32, 68, 23, 59)(15, 51, 27, 63, 29, 65, 26, 62, 30, 66, 20, 56)(25, 61, 31, 67, 35, 71, 33, 69, 36, 72, 34, 70)(73, 109, 75, 111, 82, 118, 97, 133, 87, 123, 77, 113)(74, 110, 79, 115, 92, 128, 103, 139, 94, 130, 80, 116)(76, 112, 83, 119, 98, 134, 106, 142, 96, 132, 85, 121)(78, 114, 89, 125, 100, 136, 107, 143, 101, 137, 90, 126)(81, 117, 88, 124, 86, 122, 99, 135, 105, 141, 95, 131)(84, 120, 93, 129, 104, 140, 108, 144, 102, 138, 91, 127)
	L = (1, 76)(2, 73)(3, 80)(4, 84)(5, 86)(6, 74)(7, 90)(8, 93)(9, 75)(10, 95)(11, 77)(12, 88)(13, 89)(14, 91)(15, 92)(16, 78)(17, 81)(18, 83)(19, 79)(20, 102)(21, 85)(22, 100)(23, 104)(24, 82)(25, 106)(26, 101)(27, 87)(28, 96)(29, 99)(30, 98)(31, 97)(32, 94)(33, 107)(34, 108)(35, 103)(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) :: { ( 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12 ) }
Outer automorphisms :: reflexible
Dual of E10.472
Graph:: bipartite
	v = 12 e = 72 f = 42
	degree seq :: [ 12^12 ]

E10.471 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {6, 6, 6})
Quotient :: dipole
Aut^+ = C6 x S3 (small group id <36, 12>)
Aut   = C2 x S3 x S3 (small group id <72, 46>)
|r| :: 2
Presentation :: [ Y1, R^2, (R * Y3)^2, (R * Y1)^2, Y2^-1 * Y3^-1 * Y2 * Y3^-1, (R * Y2 * Y3^-1)^2, Y2^6, Y3^2 * Y2 * Y3^-4 * Y2^-1, (Y3^-1 * Y1^-1)^6 ]
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, 86, 122, 84, 120, 76, 112)(75, 111, 80, 116, 87, 123, 97, 133, 93, 129, 82, 118)(77, 113, 79, 115, 88, 124, 96, 132, 95, 131, 83, 119)(81, 117, 90, 126, 98, 134, 105, 141, 102, 138, 92, 128)(85, 121, 89, 125, 99, 135, 104, 140, 103, 139, 94, 130)(91, 127, 100, 136, 106, 142, 108, 144, 107, 143, 101, 137)
	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, 96)(15, 98)(16, 78)(17, 100)(18, 80)(19, 85)(20, 82)(21, 102)(22, 101)(23, 84)(24, 104)(25, 86)(26, 106)(27, 88)(28, 90)(29, 92)(30, 107)(31, 95)(32, 108)(33, 97)(34, 99)(35, 103)(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, 12 ), ( 12^12 ) }
Outer automorphisms :: reflexible
Dual of E10.469
Graph:: simple bipartite
	v = 42 e = 72 f = 12
	degree seq :: [ 2^36, 12^6 ]

E10.472 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {6, 6, 6})
Quotient :: dipole
Aut^+ = C6 x S3 (small group id <36, 12>)
Aut   = C2 x S3 x S3 (small group id <72, 46>)
|r| :: 2
Presentation :: [ Y1, R^2, (Y3 * Y2)^2, (R * Y3)^2, (R * Y1)^2, (Y3^-2 * Y2)^2, Y2 * Y3^-1 * Y2 * Y3^-1 * Y2^2, (R * Y2 * Y3^-1)^2, Y3 * Y2^3 * Y3 * Y2^-1, Y2^6, Y3^2 * Y2^-1 * Y3^-4 * Y2^-1, (Y3^-1 * Y1^-1)^6 ]
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, 85, 121, 76, 112)(75, 111, 81, 117, 89, 125, 80, 116, 93, 129, 83, 119)(77, 113, 86, 122, 90, 126, 84, 120, 92, 128, 79, 115)(82, 118, 96, 132, 100, 136, 95, 131, 104, 140, 94, 130)(87, 123, 98, 134, 101, 137, 91, 127, 102, 138, 99, 135)(97, 133, 103, 139, 107, 143, 106, 142, 108, 144, 105, 141)
	L = (1, 75)(2, 79)(3, 82)(4, 84)(5, 73)(6, 89)(7, 91)(8, 74)(9, 76)(10, 97)(11, 88)(12, 98)(13, 93)(14, 99)(15, 77)(16, 86)(17, 100)(18, 78)(19, 103)(20, 85)(21, 104)(22, 80)(23, 81)(24, 83)(25, 87)(26, 105)(27, 106)(28, 107)(29, 90)(30, 92)(31, 94)(32, 108)(33, 95)(34, 96)(35, 101)(36, 102)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 12, 12 ), ( 12^12 ) }
Outer automorphisms :: reflexible
Dual of E10.470
Graph:: simple bipartite
	v = 42 e = 72 f = 12
	degree seq :: [ 2^36, 12^6 ]

E10.473 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {4, 6, 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 * T2)^2, (F * T1)^2, T1^4, T1^-2 * T2^3, T2 * T1 * T2 * T1^-1 * T2^-1 * 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, 38, 42, 40)(39, 45, 52, 47)(41, 50, 46, 51)(43, 53, 48, 54)(44, 55, 49, 56)(57, 65, 59, 67)(58, 69, 60, 71)(61, 66, 63, 68)(62, 70, 64, 72)
	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) :: { ( 24^4 ), ( 24^6 ) }
Outer automorphisms :: reflexible
Dual of E10.477
Transitivity :: ET+
Graph:: bipartite
	v = 15 e = 36 f = 3
	degree seq :: [ 4^9, 6^6 ]

E10.474 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {4, 6, 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^-1 * T1^-1 * T2^-1, T1 * T2^-1 * T1 * T2^-3, T1^6, T1 * T2^-1 * T1 * T2^9 ]
Map:: non-degenerate
	R = (1, 3, 10, 22, 34, 20, 18, 30, 36, 28, 17, 5)(2, 7, 21, 24, 35, 29, 13, 16, 27, 11, 23, 8)(4, 12, 26, 15, 25, 9, 6, 19, 33, 32, 31, 14)(37, 38, 42, 54, 49, 40)(39, 45, 60, 66, 50, 47)(41, 51, 43, 56, 68, 52)(44, 58, 55, 65, 64, 48)(46, 57, 69, 72, 63, 62)(53, 59, 61, 70, 71, 67)
	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) :: { ( 8^6 ), ( 8^12 ) }
Outer automorphisms :: reflexible
Dual of E10.478
Transitivity :: ET+
Graph:: bipartite
	v = 9 e = 36 f = 9
	degree seq :: [ 6^6, 12^3 ]

E10.475 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {4, 6, 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, T2^4, T2^-1 * T1^-1 * T2 * T1^-1 * T2^-1 * T1^-1, T2^-1 * T1 * T2^-2 * T1^-1 * T2^-1, T2 * T1^-2 * T2^-1 * T1^2, (T2 * T1^-1)^3, T1^-1 * T2^2 * T1^-5 ]
Map:: non-degenerate
	R = (1, 3, 10, 5)(2, 7, 21, 8)(4, 12, 27, 14)(6, 18, 35, 19)(9, 25, 15, 26)(11, 23, 16, 20)(13, 28, 31, 30)(17, 32, 29, 33)(22, 36, 24, 34)(37, 38, 42, 53, 67, 63, 46, 57, 71, 65, 49, 40)(39, 45, 54, 70, 66, 52, 41, 51, 55, 72, 64, 47)(43, 56, 68, 62, 50, 60, 44, 59, 69, 61, 48, 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) :: { ( 12^4 ), ( 12^12 ) }
Outer automorphisms :: reflexible
Dual of E10.476
Transitivity :: ET+
Graph:: bipartite
	v = 12 e = 36 f = 6
	degree seq :: [ 4^9, 12^3 ]

E10.476 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {4, 6, 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 * T2)^2, (F * T1)^2, T1^4, T1^-2 * T2^3, T2 * T1 * T2 * T1^-1 * T2^-1 * T1 * T2^-1 * T1^-1, (T2^-1 * T1^-1)^12 ]
Map:: non-degenerate
	R = (1, 37, 3, 39, 10, 46, 6, 42, 16, 52, 5, 41)(2, 38, 7, 43, 13, 49, 4, 40, 12, 48, 8, 44)(9, 45, 21, 57, 24, 60, 11, 47, 23, 59, 22, 58)(14, 50, 25, 61, 28, 64, 15, 51, 27, 63, 26, 62)(17, 53, 29, 65, 32, 68, 18, 54, 31, 67, 30, 66)(19, 55, 33, 69, 36, 72, 20, 56, 35, 71, 34, 70)
	L = (1, 38)(2, 42)(3, 45)(4, 37)(5, 50)(6, 40)(7, 53)(8, 55)(9, 52)(10, 51)(11, 39)(12, 54)(13, 56)(14, 46)(15, 41)(16, 47)(17, 48)(18, 43)(19, 49)(20, 44)(21, 65)(22, 69)(23, 67)(24, 71)(25, 66)(26, 70)(27, 68)(28, 72)(29, 59)(30, 63)(31, 57)(32, 61)(33, 60)(34, 64)(35, 58)(36, 62)
	local type(s) :: { ( 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E10.475
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 6 e = 36 f = 12
	degree seq :: [ 12^6 ]

E10.477 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {4, 6, 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^-1 * T1^-1 * T2^-1, T1 * T2^-1 * T1 * T2^-3, T1^6, T1 * T2^-1 * T1 * T2^9 ]
Map:: non-degenerate
	R = (1, 37, 3, 39, 10, 46, 22, 58, 34, 70, 20, 56, 18, 54, 30, 66, 36, 72, 28, 64, 17, 53, 5, 41)(2, 38, 7, 43, 21, 57, 24, 60, 35, 71, 29, 65, 13, 49, 16, 52, 27, 63, 11, 47, 23, 59, 8, 44)(4, 40, 12, 48, 26, 62, 15, 51, 25, 61, 9, 45, 6, 42, 19, 55, 33, 69, 32, 68, 31, 67, 14, 50)
	L = (1, 38)(2, 42)(3, 45)(4, 37)(5, 51)(6, 54)(7, 56)(8, 58)(9, 60)(10, 57)(11, 39)(12, 44)(13, 40)(14, 47)(15, 43)(16, 41)(17, 59)(18, 49)(19, 65)(20, 68)(21, 69)(22, 55)(23, 61)(24, 66)(25, 70)(26, 46)(27, 62)(28, 48)(29, 64)(30, 50)(31, 53)(32, 52)(33, 72)(34, 71)(35, 67)(36, 63)
	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 E10.473
Transitivity :: ET+ VT+ AT
Graph::
	v = 3 e = 36 f = 15
	degree seq :: [ 24^3 ]

E10.478 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {4, 6, 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, T2^4, T2^-1 * T1^-1 * T2 * T1^-1 * T2^-1 * T1^-1, T2^-1 * T1 * T2^-2 * T1^-1 * T2^-1, T2 * T1^-2 * T2^-1 * T1^2, (T2 * T1^-1)^3, T1^-1 * T2^2 * T1^-5 ]
Map:: non-degenerate
	R = (1, 37, 3, 39, 10, 46, 5, 41)(2, 38, 7, 43, 21, 57, 8, 44)(4, 40, 12, 48, 27, 63, 14, 50)(6, 42, 18, 54, 35, 71, 19, 55)(9, 45, 25, 61, 15, 51, 26, 62)(11, 47, 23, 59, 16, 52, 20, 56)(13, 49, 28, 64, 31, 67, 30, 66)(17, 53, 32, 68, 29, 65, 33, 69)(22, 58, 36, 72, 24, 60, 34, 70)
	L = (1, 38)(2, 42)(3, 45)(4, 37)(5, 51)(6, 53)(7, 56)(8, 59)(9, 54)(10, 57)(11, 39)(12, 58)(13, 40)(14, 60)(15, 55)(16, 41)(17, 67)(18, 70)(19, 72)(20, 68)(21, 71)(22, 43)(23, 69)(24, 44)(25, 48)(26, 50)(27, 46)(28, 47)(29, 49)(30, 52)(31, 63)(32, 62)(33, 61)(34, 66)(35, 65)(36, 64)
	local type(s) :: { ( 6, 12, 6, 12, 6, 12, 6, 12 ) }
Outer automorphisms :: reflexible
Dual of E10.474
Transitivity :: ET+ VT+ AT
Graph::
	v = 9 e = 36 f = 9
	degree seq :: [ 8^9 ]

E10.479 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 6, 12})
Quotient :: dipole
Aut^+ = C3 x (C3 : C4) (small group id <36, 6>)
Aut   = (C6 x S3) : C2 (small group id <72, 23>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y3, (R * Y3)^2, (R * Y1)^2, (Y1^-1 * Y3)^2, Y1^4, Y3 * Y2^3 * Y1^-1, (R * Y2 * Y3^-1)^2, (R * Y2 * Y1^-1)^2, Y2 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1^-1 * Y2 * Y1^-1, Y2 * Y3 * Y2^-1 * Y1 * Y2^-1 * Y3^-1 * Y2 * 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 * Y2 * Y1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1, (Y3 * Y2^-1)^12 ]
Map::
	R = (1, 37, 2, 38, 6, 42, 4, 40)(3, 39, 9, 45, 16, 52, 11, 47)(5, 41, 14, 50, 10, 46, 15, 51)(7, 43, 17, 53, 12, 48, 18, 54)(8, 44, 19, 55, 13, 49, 20, 56)(21, 57, 29, 65, 23, 59, 31, 67)(22, 58, 33, 69, 24, 60, 35, 71)(25, 61, 30, 66, 27, 63, 32, 68)(26, 62, 34, 70, 28, 64, 36, 72)(73, 109, 75, 111, 82, 118, 78, 114, 88, 124, 77, 113)(74, 110, 79, 115, 85, 121, 76, 112, 84, 120, 80, 116)(81, 117, 93, 129, 96, 132, 83, 119, 95, 131, 94, 130)(86, 122, 97, 133, 100, 136, 87, 123, 99, 135, 98, 134)(89, 125, 101, 137, 104, 140, 90, 126, 103, 139, 102, 138)(91, 127, 105, 141, 108, 144, 92, 128, 107, 143, 106, 142)
	L = (1, 76)(2, 73)(3, 83)(4, 78)(5, 87)(6, 74)(7, 90)(8, 92)(9, 75)(10, 86)(11, 88)(12, 89)(13, 91)(14, 77)(15, 82)(16, 81)(17, 79)(18, 84)(19, 80)(20, 85)(21, 103)(22, 107)(23, 101)(24, 105)(25, 104)(26, 108)(27, 102)(28, 106)(29, 93)(30, 97)(31, 95)(32, 99)(33, 94)(34, 98)(35, 96)(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) :: { ( 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 E10.482
Graph:: bipartite
	v = 15 e = 72 f = 39
	degree seq :: [ 8^9, 12^6 ]

E10.480 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 6, 12})
Quotient :: dipole
Aut^+ = C3 x (C3 : C4) (small group id <36, 6>)
Aut   = (C6 x S3) : C2 (small group id <72, 23>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, (R * Y1)^2, (R * Y3)^2, Y1 * Y2 * Y1^-2 * Y2, Y1 * Y2^-1 * Y1 * Y2^-3, Y1^6, (Y3^-1 * Y1^-1)^4, Y1 * Y2^-1 * Y1 * Y2^9 ]
Map::
	R = (1, 37, 2, 38, 6, 42, 18, 54, 13, 49, 4, 40)(3, 39, 9, 45, 24, 60, 30, 66, 14, 50, 11, 47)(5, 41, 15, 51, 7, 43, 20, 56, 32, 68, 16, 52)(8, 44, 22, 58, 19, 55, 29, 65, 28, 64, 12, 48)(10, 46, 21, 57, 33, 69, 36, 72, 27, 63, 26, 62)(17, 53, 23, 59, 25, 61, 34, 70, 35, 71, 31, 67)(73, 109, 75, 111, 82, 118, 94, 130, 106, 142, 92, 128, 90, 126, 102, 138, 108, 144, 100, 136, 89, 125, 77, 113)(74, 110, 79, 115, 93, 129, 96, 132, 107, 143, 101, 137, 85, 121, 88, 124, 99, 135, 83, 119, 95, 131, 80, 116)(76, 112, 84, 120, 98, 134, 87, 123, 97, 133, 81, 117, 78, 114, 91, 127, 105, 141, 104, 140, 103, 139, 86, 122)
	L = (1, 75)(2, 79)(3, 82)(4, 84)(5, 73)(6, 91)(7, 93)(8, 74)(9, 78)(10, 94)(11, 95)(12, 98)(13, 88)(14, 76)(15, 97)(16, 99)(17, 77)(18, 102)(19, 105)(20, 90)(21, 96)(22, 106)(23, 80)(24, 107)(25, 81)(26, 87)(27, 83)(28, 89)(29, 85)(30, 108)(31, 86)(32, 103)(33, 104)(34, 92)(35, 101)(36, 100)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8 ), ( 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 E10.481
Graph:: bipartite
	v = 9 e = 72 f = 45
	degree seq :: [ 12^6, 24^3 ]

E10.481 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 6, 12})
Quotient :: dipole
Aut^+ = C3 x (C3 : C4) (small group id <36, 6>)
Aut   = (C6 x S3) : C2 (small group id <72, 23>)
|r| :: 2
Presentation :: [ Y1, R^2, (R * Y3)^2, (R * Y1)^2, Y2^4, (R * Y2 * Y3^-1)^2, Y3 * Y2^-2 * Y3^-1 * Y2^-2, (Y3 * Y2)^3, Y3^2 * Y2 * Y3^-2 * Y2^-1, Y3^2 * Y2 * Y3^2 * Y2 * Y3^2, (Y3^-1 * Y1^-1)^12 ]
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, 81, 117, 89, 125, 83, 119)(77, 113, 86, 122, 90, 126, 87, 123)(79, 115, 91, 127, 84, 120, 93, 129)(80, 116, 94, 130, 85, 121, 95, 131)(82, 118, 92, 128, 103, 139, 99, 135)(88, 124, 96, 132, 104, 140, 101, 137)(97, 133, 106, 142, 100, 136, 108, 144)(98, 134, 105, 141, 102, 138, 107, 143)
	L = (1, 75)(2, 79)(3, 82)(4, 84)(5, 73)(6, 89)(7, 92)(8, 74)(9, 94)(10, 98)(11, 95)(12, 99)(13, 76)(14, 97)(15, 100)(16, 77)(17, 103)(18, 78)(19, 87)(20, 106)(21, 86)(22, 105)(23, 107)(24, 80)(25, 81)(26, 104)(27, 108)(28, 83)(29, 85)(30, 88)(31, 102)(32, 90)(33, 91)(34, 101)(35, 93)(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, 24 ), ( 12, 24, 12, 24, 12, 24, 12, 24 ) }
Outer automorphisms :: reflexible
Dual of E10.480
Graph:: simple bipartite
	v = 45 e = 72 f = 9
	degree seq :: [ 2^36, 8^9 ]

E10.482 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 6, 12})
Quotient :: dipole
Aut^+ = C3 x (C3 : C4) (small group id <36, 6>)
Aut   = (C6 x S3) : C2 (small group id <72, 23>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y1)^2, (R * Y3)^2, Y3^4, (R * Y2 * Y3^-1)^2, Y1 * Y3^-2 * Y1^-1 * Y3^-2, Y3 * Y1^2 * Y3^-1 * Y1^-2, (Y3 * Y1^-1)^3, Y3^2 * Y1^6, Y1^-2 * Y3 * Y1^-2 * Y3 * Y1^-2, (Y3 * Y2^-1)^4 ]
Map::
	R = (1, 37, 2, 38, 6, 42, 17, 53, 31, 67, 27, 63, 10, 46, 21, 57, 35, 71, 29, 65, 13, 49, 4, 40)(3, 39, 9, 45, 18, 54, 34, 70, 30, 66, 16, 52, 5, 41, 15, 51, 19, 55, 36, 72, 28, 64, 11, 47)(7, 43, 20, 56, 32, 68, 26, 62, 14, 50, 24, 60, 8, 44, 23, 59, 33, 69, 25, 61, 12, 48, 22, 58)(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, 90)(7, 93)(8, 74)(9, 97)(10, 77)(11, 95)(12, 99)(13, 100)(14, 76)(15, 98)(16, 92)(17, 104)(18, 107)(19, 78)(20, 83)(21, 80)(22, 108)(23, 88)(24, 106)(25, 87)(26, 81)(27, 86)(28, 103)(29, 105)(30, 85)(31, 102)(32, 101)(33, 89)(34, 94)(35, 91)(36, 96)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 8, 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 E10.479
Graph:: simple bipartite
	v = 39 e = 72 f = 15
	degree seq :: [ 2^36, 24^3 ]

E10.483 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 6, 12})
Quotient :: dipole
Aut^+ = C3 x (C3 : C4) (small group id <36, 6>)
Aut   = (C6 x S3) : C2 (small group id <72, 23>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y1, Y1^4, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, Y2^2 * Y3^-1 * Y2^-2 * Y1^-1, Y2 * Y3^2 * Y2^-1 * Y1^-2, (Y2^-1 * R * Y2^-1)^2, Y2 * Y1 * Y2 * Y3^-1 * Y2 * Y1^-1, Y3 * Y2 * Y1 * Y3^-1 * Y2^-1 * Y1^-1, Y3 * Y1^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1, Y1^-1 * Y2^6 * Y1^-1 ]
Map::
	R = (1, 37, 2, 38, 6, 42, 4, 40)(3, 39, 9, 45, 17, 53, 11, 47)(5, 41, 14, 50, 18, 54, 15, 51)(7, 43, 19, 55, 12, 48, 21, 57)(8, 44, 22, 58, 13, 49, 23, 59)(10, 46, 20, 56, 31, 67, 27, 63)(16, 52, 24, 60, 32, 68, 29, 65)(25, 61, 36, 72, 28, 64, 34, 70)(26, 62, 35, 71, 30, 66, 33, 69)(73, 109, 75, 111, 82, 118, 98, 134, 104, 140, 90, 126, 78, 114, 89, 125, 103, 139, 102, 138, 88, 124, 77, 113)(74, 110, 79, 115, 92, 128, 106, 142, 101, 137, 85, 121, 76, 112, 84, 120, 99, 135, 108, 144, 96, 132, 80, 116)(81, 117, 95, 131, 107, 143, 93, 129, 87, 123, 100, 136, 83, 119, 94, 130, 105, 141, 91, 127, 86, 122, 97, 133)
	L = (1, 76)(2, 73)(3, 83)(4, 78)(5, 87)(6, 74)(7, 93)(8, 95)(9, 75)(10, 99)(11, 89)(12, 91)(13, 94)(14, 77)(15, 90)(16, 101)(17, 81)(18, 86)(19, 79)(20, 82)(21, 84)(22, 80)(23, 85)(24, 88)(25, 106)(26, 105)(27, 103)(28, 108)(29, 104)(30, 107)(31, 92)(32, 96)(33, 102)(34, 100)(35, 98)(36, 97)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 2, 12, 2, 12, 2, 12, 2, 12 ), ( 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 E10.484
Graph:: bipartite
	v = 12 e = 72 f = 42
	degree seq :: [ 8^9, 24^3 ]

E10.484 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 6, 12})
Quotient :: dipole
Aut^+ = C3 x (C3 : C4) (small group id <36, 6>)
Aut   = (C6 x S3) : C2 (small group id <72, 23>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y1)^2, (R * Y3)^2, Y1^2 * Y3^-1 * Y1^-1 * Y3^-1, (R * Y2 * Y3^-1)^2, Y3^-2 * Y1 * Y3^-1 * Y1 * Y3^-1, Y1 * Y3^2 * Y1^-1 * Y3^-2, Y1^6, (Y3 * Y2^-1)^12 ]
Map::
	R = (1, 37, 2, 38, 6, 42, 18, 54, 13, 49, 4, 40)(3, 39, 9, 45, 24, 60, 30, 66, 14, 50, 11, 47)(5, 41, 15, 51, 7, 43, 20, 56, 32, 68, 16, 52)(8, 44, 22, 58, 19, 55, 29, 65, 28, 64, 12, 48)(10, 46, 21, 57, 33, 69, 36, 72, 27, 63, 26, 62)(17, 53, 23, 59, 25, 61, 34, 70, 35, 71, 31, 67)(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, 93)(8, 74)(9, 78)(10, 94)(11, 95)(12, 98)(13, 88)(14, 76)(15, 97)(16, 99)(17, 77)(18, 102)(19, 105)(20, 90)(21, 96)(22, 106)(23, 80)(24, 107)(25, 81)(26, 87)(27, 83)(28, 89)(29, 85)(30, 108)(31, 86)(32, 103)(33, 104)(34, 92)(35, 101)(36, 100)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 8, 24 ), ( 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24 ) }
Outer automorphisms :: reflexible
Dual of E10.483
Graph:: simple bipartite
	v = 42 e = 72 f = 12
	degree seq :: [ 2^36, 12^6 ]

E10.485 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {3, 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, T1^3, (F * T2)^2, (F * T1)^2, T2 * T1^-1 * T2^-1 * T1^-1, T2^12 ]
Map:: non-degenerate
	R = (1, 3, 9, 15, 21, 27, 33, 29, 23, 17, 11, 5)(2, 6, 12, 18, 24, 30, 35, 31, 25, 19, 13, 7)(4, 8, 14, 20, 26, 32, 36, 34, 28, 22, 16, 10)(37, 38, 40)(39, 44, 42)(41, 46, 43)(45, 48, 50)(47, 49, 52)(51, 56, 54)(53, 58, 55)(57, 60, 62)(59, 61, 64)(63, 68, 66)(65, 70, 67)(69, 71, 72)
	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) :: { ( 24^3 ), ( 24^12 ) }
Outer automorphisms :: reflexible
Dual of E10.487
Transitivity :: ET+
Graph:: simple bipartite
	v = 15 e = 36 f = 3
	degree seq :: [ 3^12, 12^3 ]

E10.486 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {3, 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, T1^3, (F * T2)^2, (F * T1)^2, T2^-2 * T1^-1 * T2^2 * T1, T2^-1 * T1^-1 * T2^-3 * T1^-1, (T2 * T1^-1)^4 ]
Map:: non-degenerate
	R = (1, 3, 9, 24, 36, 29, 34, 19, 32, 16, 15, 5)(2, 6, 17, 14, 27, 10, 26, 30, 35, 28, 21, 7)(4, 11, 25, 20, 33, 18, 31, 13, 23, 8, 22, 12)(37, 38, 40)(39, 44, 46)(41, 49, 50)(42, 52, 54)(43, 55, 56)(45, 53, 61)(47, 64, 65)(48, 66, 60)(51, 57, 58)(59, 68, 71)(62, 67, 70)(63, 69, 72)
	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) :: { ( 24^3 ), ( 24^12 ) }
Outer automorphisms :: reflexible
Dual of E10.488
Transitivity :: ET+
Graph:: simple bipartite
	v = 15 e = 36 f = 3
	degree seq :: [ 3^12, 12^3 ]

E10.487 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {3, 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, T1^3, (F * T2)^2, (F * T1)^2, T2 * T1^-1 * T2^-1 * T1^-1, T2^12 ]
Map:: non-degenerate
	R = (1, 37, 3, 39, 9, 45, 15, 51, 21, 57, 27, 63, 33, 69, 29, 65, 23, 59, 17, 53, 11, 47, 5, 41)(2, 38, 6, 42, 12, 48, 18, 54, 24, 60, 30, 66, 35, 71, 31, 67, 25, 61, 19, 55, 13, 49, 7, 43)(4, 40, 8, 44, 14, 50, 20, 56, 26, 62, 32, 68, 36, 72, 34, 70, 28, 64, 22, 58, 16, 52, 10, 46)
	L = (1, 38)(2, 40)(3, 44)(4, 37)(5, 46)(6, 39)(7, 41)(8, 42)(9, 48)(10, 43)(11, 49)(12, 50)(13, 52)(14, 45)(15, 56)(16, 47)(17, 58)(18, 51)(19, 53)(20, 54)(21, 60)(22, 55)(23, 61)(24, 62)(25, 64)(26, 57)(27, 68)(28, 59)(29, 70)(30, 63)(31, 65)(32, 66)(33, 71)(34, 67)(35, 72)(36, 69)
	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 E10.485
Transitivity :: ET+ VT+ AT
Graph::
	v = 3 e = 36 f = 15
	degree seq :: [ 24^3 ]

E10.488 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {3, 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, T1^3, (F * T2)^2, (F * T1)^2, T2^-2 * T1^-1 * T2^2 * T1, T2^-1 * T1^-1 * T2^-3 * T1^-1, (T2 * T1^-1)^4 ]
Map:: non-degenerate
	R = (1, 37, 3, 39, 9, 45, 24, 60, 36, 72, 29, 65, 34, 70, 19, 55, 32, 68, 16, 52, 15, 51, 5, 41)(2, 38, 6, 42, 17, 53, 14, 50, 27, 63, 10, 46, 26, 62, 30, 66, 35, 71, 28, 64, 21, 57, 7, 43)(4, 40, 11, 47, 25, 61, 20, 56, 33, 69, 18, 54, 31, 67, 13, 49, 23, 59, 8, 44, 22, 58, 12, 48)
	L = (1, 38)(2, 40)(3, 44)(4, 37)(5, 49)(6, 52)(7, 55)(8, 46)(9, 53)(10, 39)(11, 64)(12, 66)(13, 50)(14, 41)(15, 57)(16, 54)(17, 61)(18, 42)(19, 56)(20, 43)(21, 58)(22, 51)(23, 68)(24, 48)(25, 45)(26, 67)(27, 69)(28, 65)(29, 47)(30, 60)(31, 70)(32, 71)(33, 72)(34, 62)(35, 59)(36, 63)
	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 E10.486
Transitivity :: ET+ VT+ AT
Graph::
	v = 3 e = 36 f = 15
	degree seq :: [ 24^3 ]

E10.489 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 12, 12})
Quotient :: dipole
Aut^+ = C3 x (C3 : C4) (small group id <36, 6>)
Aut   = (C6 x S3) : C2 (small group id <72, 23>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1^-1, Y1^3, (R * Y3)^2, (R * Y1)^2, Y3 * Y2 * Y1^-1 * Y2^-1, Y2 * Y3 * Y2^-1 * Y1^-1, (R * Y2 * Y3^-1)^2, Y2^12, (Y2^-1 * Y1)^12 ]
Map::
	R = (1, 37, 2, 38, 4, 40)(3, 39, 8, 44, 6, 42)(5, 41, 10, 46, 7, 43)(9, 45, 12, 48, 14, 50)(11, 47, 13, 49, 16, 52)(15, 51, 20, 56, 18, 54)(17, 53, 22, 58, 19, 55)(21, 57, 24, 60, 26, 62)(23, 59, 25, 61, 28, 64)(27, 63, 32, 68, 30, 66)(29, 65, 34, 70, 31, 67)(33, 69, 35, 71, 36, 72)(73, 109, 75, 111, 81, 117, 87, 123, 93, 129, 99, 135, 105, 141, 101, 137, 95, 131, 89, 125, 83, 119, 77, 113)(74, 110, 78, 114, 84, 120, 90, 126, 96, 132, 102, 138, 107, 143, 103, 139, 97, 133, 91, 127, 85, 121, 79, 115)(76, 112, 80, 116, 86, 122, 92, 128, 98, 134, 104, 140, 108, 144, 106, 142, 100, 136, 94, 130, 88, 124, 82, 118)
	L = (1, 76)(2, 73)(3, 78)(4, 74)(5, 79)(6, 80)(7, 82)(8, 75)(9, 86)(10, 77)(11, 88)(12, 81)(13, 83)(14, 84)(15, 90)(16, 85)(17, 91)(18, 92)(19, 94)(20, 87)(21, 98)(22, 89)(23, 100)(24, 93)(25, 95)(26, 96)(27, 102)(28, 97)(29, 103)(30, 104)(31, 106)(32, 99)(33, 108)(34, 101)(35, 105)(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, 24, 2, 24, 2, 24 ), ( 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 E10.491
Graph:: bipartite
	v = 15 e = 72 f = 39
	degree seq :: [ 6^12, 24^3 ]

E10.490 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 12, 12})
Quotient :: dipole
Aut^+ = C3 x (C3 : C4) (small group id <36, 6>)
Aut   = (C6 x S3) : C2 (small group id <72, 23>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y3^-1, Y1^2 * Y3^-1, (R * Y1)^2, (R * Y3)^2, Y1 * Y2 * Y1 * Y2^3, (Y2^-1 * R * Y2^-1)^2, (R * Y2 * Y3^-1)^2, Y3 * Y2^-1 * Y3 * Y2^-3, Y2^2 * Y1 * Y2^-2 * Y1^-1, Y2 * Y3 * Y2 * Y1 * Y2 * Y1^-1 * Y2, Y2 * Y1 * Y2 * Y3 * Y2^2 * Y1^-1, Y3 * Y2^-1 * Y3 * Y2^9 ]
Map::
	R = (1, 37, 2, 38, 4, 40)(3, 39, 8, 44, 10, 46)(5, 41, 13, 49, 14, 50)(6, 42, 16, 52, 18, 54)(7, 43, 19, 55, 20, 56)(9, 45, 17, 53, 25, 61)(11, 47, 28, 64, 29, 65)(12, 48, 30, 66, 24, 60)(15, 51, 21, 57, 22, 58)(23, 59, 32, 68, 35, 71)(26, 62, 31, 67, 34, 70)(27, 63, 33, 69, 36, 72)(73, 109, 75, 111, 81, 117, 96, 132, 108, 144, 101, 137, 106, 142, 91, 127, 104, 140, 88, 124, 87, 123, 77, 113)(74, 110, 78, 114, 89, 125, 86, 122, 99, 135, 82, 118, 98, 134, 102, 138, 107, 143, 100, 136, 93, 129, 79, 115)(76, 112, 83, 119, 97, 133, 92, 128, 105, 141, 90, 126, 103, 139, 85, 121, 95, 131, 80, 116, 94, 130, 84, 120)
	L = (1, 76)(2, 73)(3, 82)(4, 74)(5, 86)(6, 90)(7, 92)(8, 75)(9, 97)(10, 80)(11, 101)(12, 96)(13, 77)(14, 85)(15, 94)(16, 78)(17, 81)(18, 88)(19, 79)(20, 91)(21, 87)(22, 93)(23, 107)(24, 102)(25, 89)(26, 106)(27, 108)(28, 83)(29, 100)(30, 84)(31, 98)(32, 95)(33, 99)(34, 103)(35, 104)(36, 105)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 2, 24, 2, 24, 2, 24 ), ( 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 E10.492
Graph:: bipartite
	v = 15 e = 72 f = 39
	degree seq :: [ 6^12, 24^3 ]

E10.491 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 12, 12})
Quotient :: dipole
Aut^+ = C3 x (C3 : C4) (small group id <36, 6>)
Aut   = (C6 x S3) : C2 (small group id <72, 23>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y1)^2, (R * Y3)^2, Y3 * Y1 * Y3 * Y1^-1, (R * Y2 * Y3^-1)^2, (Y3 * Y2^-1)^3, Y1^12 ]
Map::
	R = (1, 37, 2, 38, 6, 42, 12, 48, 18, 54, 24, 60, 30, 66, 29, 65, 23, 59, 17, 53, 11, 47, 4, 40)(3, 39, 8, 44, 13, 49, 20, 56, 25, 61, 32, 68, 35, 71, 33, 69, 27, 63, 21, 57, 15, 51, 9, 45)(5, 41, 7, 43, 14, 50, 19, 55, 26, 62, 31, 67, 36, 72, 34, 70, 28, 64, 22, 58, 16, 52, 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, 77)(4, 82)(5, 73)(6, 85)(7, 80)(8, 74)(9, 76)(10, 81)(11, 87)(12, 91)(13, 86)(14, 78)(15, 88)(16, 83)(17, 94)(18, 97)(19, 92)(20, 84)(21, 89)(22, 93)(23, 99)(24, 103)(25, 98)(26, 90)(27, 100)(28, 95)(29, 106)(30, 107)(31, 104)(32, 96)(33, 101)(34, 105)(35, 108)(36, 102)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 6, 24 ), ( 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24 ) }
Outer automorphisms :: reflexible
Dual of E10.489
Graph:: simple bipartite
	v = 39 e = 72 f = 15
	degree seq :: [ 2^36, 24^3 ]

E10.492 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 12, 12})
Quotient :: dipole
Aut^+ = C3 x (C3 : C4) (small group id <36, 6>)
Aut   = (C6 x S3) : C2 (small group id <72, 23>)
|r| :: 2
Presentation :: [ Y2, R^2, Y3^3, (R * Y1)^2, (R * Y3)^2, Y1^3 * Y3 * Y1 * Y3, (R * Y2 * Y3^-1)^2, Y1^-1 * Y3^-1 * Y1^-3 * Y3^-1, Y3 * Y1^2 * Y3^-1 * Y1^-2, (Y3 * Y2^-1)^3, Y3 * Y1^-1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3 * Y1^-1, (Y1^-1 * Y3)^4, Y3^-1 * Y1 * Y3^-1 * Y1^7 ]
Map::
	R = (1, 37, 2, 38, 6, 42, 16, 52, 32, 68, 30, 66, 35, 71, 25, 61, 33, 69, 23, 59, 12, 48, 4, 40)(3, 39, 9, 45, 17, 53, 13, 49, 22, 58, 8, 44, 21, 57, 31, 67, 34, 70, 29, 65, 26, 62, 10, 46)(5, 41, 14, 50, 18, 54, 27, 63, 36, 72, 24, 60, 28, 64, 11, 47, 20, 56, 7, 43, 19, 55, 15, 51)(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, 77)(4, 83)(5, 73)(6, 89)(7, 80)(8, 74)(9, 95)(10, 97)(11, 85)(12, 98)(13, 76)(14, 101)(15, 103)(16, 87)(17, 90)(18, 78)(19, 84)(20, 105)(21, 100)(22, 108)(23, 96)(24, 81)(25, 99)(26, 91)(27, 82)(28, 107)(29, 102)(30, 86)(31, 88)(32, 94)(33, 106)(34, 92)(35, 93)(36, 104)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 6, 24 ), ( 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24 ) }
Outer automorphisms :: reflexible
Dual of E10.490
Graph:: simple bipartite
	v = 39 e = 72 f = 15
	degree seq :: [ 2^36, 24^3 ]

E10.493 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {3, 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, T1^3, (F * T2)^2, (F * T1)^2, (T2^-1, T1^-1), T2^12 ]
Map:: non-degenerate
	R = (1, 3, 8, 14, 20, 26, 32, 29, 23, 17, 11, 5)(2, 6, 12, 18, 24, 30, 35, 31, 25, 19, 13, 7)(4, 9, 15, 21, 27, 33, 36, 34, 28, 22, 16, 10)(37, 38, 40)(39, 42, 45)(41, 43, 46)(44, 48, 51)(47, 49, 52)(50, 54, 57)(53, 55, 58)(56, 60, 63)(59, 61, 64)(62, 66, 69)(65, 67, 70)(68, 71, 72)
	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) :: { ( 24^3 ), ( 24^12 ) }
Outer automorphisms :: reflexible
Dual of E10.494
Transitivity :: ET+
Graph:: simple bipartite
	v = 15 e = 36 f = 3
	degree seq :: [ 3^12, 12^3 ]

E10.494 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {3, 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, T1^3, (F * T2)^2, (F * T1)^2, (T2^-1, T1^-1), T2^12 ]
Map:: non-degenerate
	R = (1, 37, 3, 39, 8, 44, 14, 50, 20, 56, 26, 62, 32, 68, 29, 65, 23, 59, 17, 53, 11, 47, 5, 41)(2, 38, 6, 42, 12, 48, 18, 54, 24, 60, 30, 66, 35, 71, 31, 67, 25, 61, 19, 55, 13, 49, 7, 43)(4, 40, 9, 45, 15, 51, 21, 57, 27, 63, 33, 69, 36, 72, 34, 70, 28, 64, 22, 58, 16, 52, 10, 46)
	L = (1, 38)(2, 40)(3, 42)(4, 37)(5, 43)(6, 45)(7, 46)(8, 48)(9, 39)(10, 41)(11, 49)(12, 51)(13, 52)(14, 54)(15, 44)(16, 47)(17, 55)(18, 57)(19, 58)(20, 60)(21, 50)(22, 53)(23, 61)(24, 63)(25, 64)(26, 66)(27, 56)(28, 59)(29, 67)(30, 69)(31, 70)(32, 71)(33, 62)(34, 65)(35, 72)(36, 68)
	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 E10.493
Transitivity :: ET+ VT+ AT
Graph::
	v = 3 e = 36 f = 15
	degree seq :: [ 24^3 ]

E10.495 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 12, 12})
Quotient :: dipole
Aut^+ = C12 x C3 (small group id <36, 8>)
Aut   = (C12 x C3) : C2 (small group id <72, 33>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1^-1, Y1^3, (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, (Y3^-1, Y2^-1), (Y2, Y1^-1), Y3^12, Y2^12 ]
Map::
	R = (1, 37, 2, 38, 4, 40)(3, 39, 6, 42, 9, 45)(5, 41, 7, 43, 10, 46)(8, 44, 12, 48, 15, 51)(11, 47, 13, 49, 16, 52)(14, 50, 18, 54, 21, 57)(17, 53, 19, 55, 22, 58)(20, 56, 24, 60, 27, 63)(23, 59, 25, 61, 28, 64)(26, 62, 30, 66, 33, 69)(29, 65, 31, 67, 34, 70)(32, 68, 35, 71, 36, 72)(73, 109, 75, 111, 80, 116, 86, 122, 92, 128, 98, 134, 104, 140, 101, 137, 95, 131, 89, 125, 83, 119, 77, 113)(74, 110, 78, 114, 84, 120, 90, 126, 96, 132, 102, 138, 107, 143, 103, 139, 97, 133, 91, 127, 85, 121, 79, 115)(76, 112, 81, 117, 87, 123, 93, 129, 99, 135, 105, 141, 108, 144, 106, 142, 100, 136, 94, 130, 88, 124, 82, 118)
	L = (1, 76)(2, 73)(3, 81)(4, 74)(5, 82)(6, 75)(7, 77)(8, 87)(9, 78)(10, 79)(11, 88)(12, 80)(13, 83)(14, 93)(15, 84)(16, 85)(17, 94)(18, 86)(19, 89)(20, 99)(21, 90)(22, 91)(23, 100)(24, 92)(25, 95)(26, 105)(27, 96)(28, 97)(29, 106)(30, 98)(31, 101)(32, 108)(33, 102)(34, 103)(35, 104)(36, 107)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 2, 24, 2, 24, 2, 24 ), ( 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 E10.496
Graph:: bipartite
	v = 15 e = 72 f = 39
	degree seq :: [ 6^12, 24^3 ]

E10.496 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 12, 12})
Quotient :: dipole
Aut^+ = C12 x C3 (small group id <36, 8>)
Aut   = (C12 x C3) : C2 (small group id <72, 33>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y1)^2, (R * Y3)^2, (Y3^-1, Y1^-1), (R * Y2 * Y3^-1)^2, (Y3 * Y2^-1)^3, Y3^-12, Y1^12 ]
Map::
	R = (1, 37, 2, 38, 6, 42, 12, 48, 18, 54, 24, 60, 30, 66, 28, 64, 22, 58, 16, 52, 10, 46, 4, 40)(3, 39, 7, 43, 13, 49, 19, 55, 25, 61, 31, 67, 35, 71, 33, 69, 27, 63, 21, 57, 15, 51, 9, 45)(5, 41, 8, 44, 14, 50, 20, 56, 26, 62, 32, 68, 36, 72, 34, 70, 29, 65, 23, 59, 17, 53, 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, 77)(4, 81)(5, 73)(6, 85)(7, 80)(8, 74)(9, 83)(10, 87)(11, 76)(12, 91)(13, 86)(14, 78)(15, 89)(16, 93)(17, 82)(18, 97)(19, 92)(20, 84)(21, 95)(22, 99)(23, 88)(24, 103)(25, 98)(26, 90)(27, 101)(28, 105)(29, 94)(30, 107)(31, 104)(32, 96)(33, 106)(34, 100)(35, 108)(36, 102)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 6, 24 ), ( 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24 ) }
Outer automorphisms :: reflexible
Dual of E10.495
Graph:: simple bipartite
	v = 39 e = 72 f = 15
	degree seq :: [ 2^36, 24^3 ]

E10.497 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 20})
Quotient :: dipole
Aut^+ = D40 (small group id <40, 6>)
Aut   = C2 x D40 (small group id <80, 37>)
|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 ]
Map:: non-degenerate
	R = (1, 41, 2, 42)(3, 43, 5, 45)(4, 44, 8, 48)(6, 46, 10, 50)(7, 47, 11, 51)(9, 49, 13, 53)(12, 52, 16, 56)(14, 54, 18, 58)(15, 55, 19, 59)(17, 57, 21, 61)(20, 60, 24, 64)(22, 62, 26, 66)(23, 63, 27, 67)(25, 65, 29, 69)(28, 68, 32, 72)(30, 70, 34, 74)(31, 71, 35, 75)(33, 73, 37, 77)(36, 76, 40, 80)(38, 78, 39, 79)(81, 121, 83, 123)(82, 122, 85, 125)(84, 124, 87, 127)(86, 126, 89, 129)(88, 128, 91, 131)(90, 130, 93, 133)(92, 132, 95, 135)(94, 134, 97, 137)(96, 136, 99, 139)(98, 138, 101, 141)(100, 140, 103, 143)(102, 142, 105, 145)(104, 144, 107, 147)(106, 146, 109, 149)(108, 148, 111, 151)(110, 150, 113, 153)(112, 152, 115, 155)(114, 154, 117, 157)(116, 156, 119, 159)(118, 158, 120, 160)
	L = (1, 84)(2, 86)(3, 87)(4, 81)(5, 89)(6, 82)(7, 83)(8, 92)(9, 85)(10, 94)(11, 95)(12, 88)(13, 97)(14, 90)(15, 91)(16, 100)(17, 93)(18, 102)(19, 103)(20, 96)(21, 105)(22, 98)(23, 99)(24, 108)(25, 101)(26, 110)(27, 111)(28, 104)(29, 113)(30, 106)(31, 107)(32, 116)(33, 109)(34, 118)(35, 119)(36, 112)(37, 120)(38, 114)(39, 115)(40, 117)(41, 121)(42, 122)(43, 123)(44, 124)(45, 125)(46, 126)(47, 127)(48, 128)(49, 129)(50, 130)(51, 131)(52, 132)(53, 133)(54, 134)(55, 135)(56, 136)(57, 137)(58, 138)(59, 139)(60, 140)(61, 141)(62, 142)(63, 143)(64, 144)(65, 145)(66, 146)(67, 147)(68, 148)(69, 149)(70, 150)(71, 151)(72, 152)(73, 153)(74, 154)(75, 155)(76, 156)(77, 157)(78, 158)(79, 159)(80, 160)
	local type(s) :: { ( 4, 40, 4, 40 ) }
Outer automorphisms :: reflexible
Dual of E10.498
Graph:: simple bipartite
	v = 40 e = 80 f = 22
	degree seq :: [ 4^40 ]

E10.498 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 20})
Quotient :: dipole
Aut^+ = D40 (small group id <40, 6>)
Aut   = C2 x D40 (small group id <80, 37>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, (R * Y2)^2, (Y3 * Y2)^2, (R * Y1)^2, (R * Y3)^2, (Y3 * Y1^-1)^2, (Y1^-1 * Y2)^2, Y2 * Y3 * Y1^10, Y1^-1 * Y2 * Y1^4 * Y3 * Y1^-5 ]
Map:: non-degenerate
	R = (1, 41, 2, 42, 6, 46, 13, 53, 21, 61, 29, 69, 37, 77, 34, 74, 26, 66, 18, 58, 10, 50, 16, 56, 24, 64, 32, 72, 40, 80, 36, 76, 28, 68, 20, 60, 12, 52, 5, 45)(3, 43, 9, 49, 17, 57, 25, 65, 33, 73, 39, 79, 31, 71, 23, 63, 15, 55, 8, 48, 4, 44, 11, 51, 19, 59, 27, 67, 35, 75, 38, 78, 30, 70, 22, 62, 14, 54, 7, 47)(81, 121, 83, 123)(82, 122, 87, 127)(84, 124, 90, 130)(85, 125, 89, 129)(86, 126, 94, 134)(88, 128, 96, 136)(91, 131, 98, 138)(92, 132, 97, 137)(93, 133, 102, 142)(95, 135, 104, 144)(99, 139, 106, 146)(100, 140, 105, 145)(101, 141, 110, 150)(103, 143, 112, 152)(107, 147, 114, 154)(108, 148, 113, 153)(109, 149, 118, 158)(111, 151, 120, 160)(115, 155, 117, 157)(116, 156, 119, 159)
	L = (1, 84)(2, 88)(3, 90)(4, 81)(5, 91)(6, 95)(7, 96)(8, 82)(9, 98)(10, 83)(11, 85)(12, 99)(13, 103)(14, 104)(15, 86)(16, 87)(17, 106)(18, 89)(19, 92)(20, 107)(21, 111)(22, 112)(23, 93)(24, 94)(25, 114)(26, 97)(27, 100)(28, 115)(29, 119)(30, 120)(31, 101)(32, 102)(33, 117)(34, 105)(35, 108)(36, 118)(37, 113)(38, 116)(39, 109)(40, 110)(41, 121)(42, 122)(43, 123)(44, 124)(45, 125)(46, 126)(47, 127)(48, 128)(49, 129)(50, 130)(51, 131)(52, 132)(53, 133)(54, 134)(55, 135)(56, 136)(57, 137)(58, 138)(59, 139)(60, 140)(61, 141)(62, 142)(63, 143)(64, 144)(65, 145)(66, 146)(67, 147)(68, 148)(69, 149)(70, 150)(71, 151)(72, 152)(73, 153)(74, 154)(75, 155)(76, 156)(77, 157)(78, 158)(79, 159)(80, 160)
	local type(s) :: { ( 4^4 ), ( 4^40 ) }
Outer automorphisms :: reflexible
Dual of E10.497
Graph:: bipartite
	v = 22 e = 80 f = 40
	degree seq :: [ 4^20, 40^2 ]

E10.499 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {4, 4, 20})
Quotient :: edge
Aut^+ = C5 : Q8 (small group id <40, 4>)
Aut   = (C20 x C2) : C2 (small group id <80, 38>)
|r| :: 2
Presentation :: [ F^2, T1^4, (F * T2)^2, (F * T1)^2, T2 * T1 * T2 * T1^-1, T2^2 * T1^-2 * T2^-2 * T1^-2, T2^8 * T1^-1 * T2^-2 * T1^-1 ]
Map:: non-degenerate
	R = (1, 3, 9, 17, 25, 33, 38, 30, 22, 14, 6, 13, 21, 29, 37, 36, 28, 20, 12, 5)(2, 7, 15, 23, 31, 39, 34, 26, 18, 10, 4, 11, 19, 27, 35, 40, 32, 24, 16, 8)(41, 42, 46, 44)(43, 48, 53, 50)(45, 47, 54, 51)(49, 56, 61, 58)(52, 55, 62, 59)(57, 64, 69, 66)(60, 63, 70, 67)(65, 72, 77, 74)(68, 71, 78, 75)(73, 80, 76, 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) :: { ( 8^4 ), ( 8^20 ) }
Outer automorphisms :: reflexible
Dual of E10.500
Transitivity :: ET+
Graph:: bipartite
	v = 12 e = 40 f = 10
	degree seq :: [ 4^10, 20^2 ]

E10.500 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {4, 4, 20})
Quotient :: loop
Aut^+ = C5 : Q8 (small group id <40, 4>)
Aut   = (C20 x C2) : C2 (small group id <80, 38>)
|r| :: 2
Presentation :: [ F^2, T1^-2 * T2^2, T1^4, (F * T2)^2, (F * T1)^2, T2^-1 * T1^-2 * T2^-1, T1 * T2 * T1 * T2 * T1^-1 * T2 * T1 * T2 * T1^-1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1^-1 * T2 ]
Map:: non-degenerate
	R = (1, 41, 3, 43, 6, 46, 5, 45)(2, 42, 7, 47, 4, 44, 8, 48)(9, 49, 13, 53, 10, 50, 14, 54)(11, 51, 15, 55, 12, 52, 16, 56)(17, 57, 21, 61, 18, 58, 22, 62)(19, 59, 23, 63, 20, 60, 24, 64)(25, 65, 29, 69, 26, 66, 30, 70)(27, 67, 31, 71, 28, 68, 32, 72)(33, 73, 37, 77, 34, 74, 38, 78)(35, 75, 39, 79, 36, 76, 40, 80)
	L = (1, 42)(2, 46)(3, 49)(4, 41)(5, 50)(6, 44)(7, 51)(8, 52)(9, 45)(10, 43)(11, 48)(12, 47)(13, 57)(14, 58)(15, 59)(16, 60)(17, 54)(18, 53)(19, 56)(20, 55)(21, 65)(22, 66)(23, 67)(24, 68)(25, 62)(26, 61)(27, 64)(28, 63)(29, 73)(30, 74)(31, 75)(32, 76)(33, 70)(34, 69)(35, 72)(36, 71)(37, 80)(38, 79)(39, 77)(40, 78)
	local type(s) :: { ( 4, 20, 4, 20, 4, 20, 4, 20 ) }
Outer automorphisms :: reflexible
Dual of E10.499
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 10 e = 40 f = 12
	degree seq :: [ 8^10 ]

E10.501 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 20})
Quotient :: dipole
Aut^+ = C5 : Q8 (small group id <40, 4>)
Aut   = (C20 x C2) : C2 (small group id <80, 38>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, (R * Y3)^2, (R * Y1)^2, Y2^-1 * Y1^-1 * Y2^-1 * Y1, Y1^4, Y1^-1 * Y2 * Y1^-2 * Y2^-1 * Y1^-1, (Y3^-1 * Y1^-1)^4, Y2^4 * Y1^-1 * Y2^-6 * Y1^-1 ]
Map::
	R = (1, 41, 2, 42, 6, 46, 4, 44)(3, 43, 8, 48, 13, 53, 10, 50)(5, 45, 7, 47, 14, 54, 11, 51)(9, 49, 16, 56, 21, 61, 18, 58)(12, 52, 15, 55, 22, 62, 19, 59)(17, 57, 24, 64, 29, 69, 26, 66)(20, 60, 23, 63, 30, 70, 27, 67)(25, 65, 32, 72, 37, 77, 34, 74)(28, 68, 31, 71, 38, 78, 35, 75)(33, 73, 40, 80, 36, 76, 39, 79)(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, 114, 154, 106, 146, 98, 138, 90, 130, 84, 124, 91, 131, 99, 139, 107, 147, 115, 155, 120, 160, 112, 152, 104, 144, 96, 136, 88, 128)
	L = (1, 83)(2, 87)(3, 89)(4, 91)(5, 81)(6, 93)(7, 95)(8, 82)(9, 97)(10, 84)(11, 99)(12, 85)(13, 101)(14, 86)(15, 103)(16, 88)(17, 105)(18, 90)(19, 107)(20, 92)(21, 109)(22, 94)(23, 111)(24, 96)(25, 113)(26, 98)(27, 115)(28, 100)(29, 117)(30, 102)(31, 119)(32, 104)(33, 118)(34, 106)(35, 120)(36, 108)(37, 116)(38, 110)(39, 114)(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) :: { ( 2, 8, 2, 8, 2, 8, 2, 8 ), ( 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 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 E10.502
Graph:: bipartite
	v = 12 e = 80 f = 50
	degree seq :: [ 8^10, 40^2 ]

E10.502 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 20})
Quotient :: dipole
Aut^+ = C5 : Q8 (small group id <40, 4>)
Aut   = (C20 x C2) : C2 (small group id <80, 38>)
|r| :: 2
Presentation :: [ Y1, R^2, Y3 * Y2 * Y3 * Y2^-1, (R * Y3)^2, (R * Y1)^2, Y2^4, (R * Y2 * Y3^-1)^2, Y3^2 * Y2^-2 * Y3^-2 * Y2^-2, Y3^8 * Y2^-1 * Y3^-2 * Y2^-1, (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, 88, 128, 93, 133, 90, 130)(85, 125, 87, 127, 94, 134, 91, 131)(89, 129, 96, 136, 101, 141, 98, 138)(92, 132, 95, 135, 102, 142, 99, 139)(97, 137, 104, 144, 109, 149, 106, 146)(100, 140, 103, 143, 110, 150, 107, 147)(105, 145, 112, 152, 117, 157, 114, 154)(108, 148, 111, 151, 118, 158, 115, 155)(113, 153, 120, 160, 116, 156, 119, 159)
	L = (1, 83)(2, 87)(3, 89)(4, 91)(5, 81)(6, 93)(7, 95)(8, 82)(9, 97)(10, 84)(11, 99)(12, 85)(13, 101)(14, 86)(15, 103)(16, 88)(17, 105)(18, 90)(19, 107)(20, 92)(21, 109)(22, 94)(23, 111)(24, 96)(25, 113)(26, 98)(27, 115)(28, 100)(29, 117)(30, 102)(31, 119)(32, 104)(33, 118)(34, 106)(35, 120)(36, 108)(37, 116)(38, 110)(39, 114)(40, 112)(41, 121)(42, 122)(43, 123)(44, 124)(45, 125)(46, 126)(47, 127)(48, 128)(49, 129)(50, 130)(51, 131)(52, 132)(53, 133)(54, 134)(55, 135)(56, 136)(57, 137)(58, 138)(59, 139)(60, 140)(61, 141)(62, 142)(63, 143)(64, 144)(65, 145)(66, 146)(67, 147)(68, 148)(69, 149)(70, 150)(71, 151)(72, 152)(73, 153)(74, 154)(75, 155)(76, 156)(77, 157)(78, 158)(79, 159)(80, 160)
	local type(s) :: { ( 8, 40 ), ( 8, 40, 8, 40, 8, 40, 8, 40 ) }
Outer automorphisms :: reflexible
Dual of E10.501
Graph:: simple bipartite
	v = 50 e = 80 f = 12
	degree seq :: [ 2^40, 8^10 ]

E10.503 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 40, 40})
Quotient :: regular
Aut^+ = C40 (small group id <40, 2>)
Aut   = D80 (small group id <80, 7>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T2 * T1 * T2 * T1^-1, T2 * T1^20 ]
Map::
	R = (1, 2, 5, 9, 13, 17, 21, 25, 29, 33, 37, 39, 35, 31, 27, 23, 19, 15, 11, 7, 3, 6, 10, 14, 18, 22, 26, 30, 34, 38, 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, 40)
	local type(s) :: { ( 40^40 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: ET+ VT+ AT+ REG+
Graph::
	v = 1 e = 20 f = 1
	degree seq :: [ 40 ]

E10.504 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 40, 40})
Quotient :: edge
Aut^+ = C40 (small group id <40, 2>)
Aut   = D80 (small group id <80, 7>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, T2 * T1 * T2^-1 * T1, T2^20 * T1 ]
Map::
	R = (1, 3, 7, 11, 15, 19, 23, 27, 31, 35, 39, 38, 34, 30, 26, 22, 18, 14, 10, 6, 2, 5, 9, 13, 17, 21, 25, 29, 33, 37, 40, 36, 32, 28, 24, 20, 16, 12, 8, 4)(41, 42)(43, 45)(44, 46)(47, 49)(48, 50)(51, 53)(52, 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, 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) :: { ( 80, 80 ), ( 80^40 ) }
Outer automorphisms :: reflexible
Dual of E10.505
Transitivity :: ET+
Graph:: bipartite
	v = 21 e = 40 f = 1
	degree seq :: [ 2^20, 40 ]

E10.505 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 40, 40})
Quotient :: loop
Aut^+ = C40 (small group id <40, 2>)
Aut   = D80 (small group id <80, 7>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, T2 * T1 * T2^-1 * T1, T2^20 * T1 ]
Map::
	R = (1, 41, 3, 43, 7, 47, 11, 51, 15, 55, 19, 59, 23, 63, 27, 67, 31, 71, 35, 75, 39, 79, 38, 78, 34, 74, 30, 70, 26, 66, 22, 62, 18, 58, 14, 54, 10, 50, 6, 46, 2, 42, 5, 45, 9, 49, 13, 53, 17, 57, 21, 61, 25, 65, 29, 69, 33, 73, 37, 77, 40, 80, 36, 76, 32, 72, 28, 68, 24, 64, 20, 60, 16, 56, 12, 52, 8, 48, 4, 44)
	L = (1, 42)(2, 41)(3, 45)(4, 46)(5, 43)(6, 44)(7, 49)(8, 50)(9, 47)(10, 48)(11, 53)(12, 54)(13, 51)(14, 52)(15, 57)(16, 58)(17, 55)(18, 56)(19, 61)(20, 62)(21, 59)(22, 60)(23, 65)(24, 66)(25, 63)(26, 64)(27, 69)(28, 70)(29, 67)(30, 68)(31, 73)(32, 74)(33, 71)(34, 72)(35, 77)(36, 78)(37, 75)(38, 76)(39, 80)(40, 79)
	local type(s) :: { ( 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40 ) }
Outer automorphisms :: reflexible
Dual of E10.504
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 40 f = 21
	degree seq :: [ 80 ]

E10.506 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 40, 40})
Quotient :: dipole
Aut^+ = C40 (small group id <40, 2>)
Aut   = D80 (small group id <80, 7>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, (R * Y3)^2, (R * Y1)^2, Y2^-1 * Y1 * Y2 * Y1, (R * Y2 * Y3^-1)^2, Y2^20 * Y1, (Y3 * Y2^-1)^40 ]
Map::
	R = (1, 41, 2, 42)(3, 43, 5, 45)(4, 44, 6, 46)(7, 47, 9, 49)(8, 48, 10, 50)(11, 51, 13, 53)(12, 52, 14, 54)(15, 55, 17, 57)(16, 56, 18, 58)(19, 59, 21, 61)(20, 60, 22, 62)(23, 63, 25, 65)(24, 64, 26, 66)(27, 67, 29, 69)(28, 68, 30, 70)(31, 71, 33, 73)(32, 72, 34, 74)(35, 75, 37, 77)(36, 76, 38, 78)(39, 79, 40, 80)(81, 121, 83, 123, 87, 127, 91, 131, 95, 135, 99, 139, 103, 143, 107, 147, 111, 151, 115, 155, 119, 159, 118, 158, 114, 154, 110, 150, 106, 146, 102, 142, 98, 138, 94, 134, 90, 130, 86, 126, 82, 122, 85, 125, 89, 129, 93, 133, 97, 137, 101, 141, 105, 145, 109, 149, 113, 153, 117, 157, 120, 160, 116, 156, 112, 152, 108, 148, 104, 144, 100, 140, 96, 136, 92, 132, 88, 128, 84, 124)
	L = (1, 82)(2, 81)(3, 85)(4, 86)(5, 83)(6, 84)(7, 89)(8, 90)(9, 87)(10, 88)(11, 93)(12, 94)(13, 91)(14, 92)(15, 97)(16, 98)(17, 95)(18, 96)(19, 101)(20, 102)(21, 99)(22, 100)(23, 105)(24, 106)(25, 103)(26, 104)(27, 109)(28, 110)(29, 107)(30, 108)(31, 113)(32, 114)(33, 111)(34, 112)(35, 117)(36, 118)(37, 115)(38, 116)(39, 120)(40, 119)(41, 121)(42, 122)(43, 123)(44, 124)(45, 125)(46, 126)(47, 127)(48, 128)(49, 129)(50, 130)(51, 131)(52, 132)(53, 133)(54, 134)(55, 135)(56, 136)(57, 137)(58, 138)(59, 139)(60, 140)(61, 141)(62, 142)(63, 143)(64, 144)(65, 145)(66, 146)(67, 147)(68, 148)(69, 149)(70, 150)(71, 151)(72, 152)(73, 153)(74, 154)(75, 155)(76, 156)(77, 157)(78, 158)(79, 159)(80, 160)
	local type(s) :: { ( 2, 80, 2, 80 ), ( 2, 80, 2, 80, 2, 80, 2, 80, 2, 80, 2, 80, 2, 80, 2, 80, 2, 80, 2, 80, 2, 80, 2, 80, 2, 80, 2, 80, 2, 80, 2, 80, 2, 80, 2, 80, 2, 80, 2, 80, 2, 80, 2, 80, 2, 80, 2, 80, 2, 80, 2, 80, 2, 80, 2, 80, 2, 80, 2, 80, 2, 80, 2, 80, 2, 80, 2, 80, 2, 80, 2, 80, 2, 80, 2, 80, 2, 80, 2, 80 ) }
Outer automorphisms :: reflexible
Dual of E10.507
Graph:: bipartite
	v = 21 e = 80 f = 41
	degree seq :: [ 4^20, 80 ]

E10.507 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 40, 40})
Quotient :: dipole
Aut^+ = C40 (small group id <40, 2>)
Aut   = D80 (small group id <80, 7>)
|r| :: 2
Presentation :: [ Y2, R^2, Y3^2, R * Y2 * R * Y2^-1, (R * Y1)^2, Y3 * Y1 * Y3 * Y1^-1, (R * Y3)^2, (Y3 * Y2^-1)^2, Y3 * Y1^20 ]
Map::
	R = (1, 41, 2, 42, 5, 45, 9, 49, 13, 53, 17, 57, 21, 61, 25, 65, 29, 69, 33, 73, 37, 77, 39, 79, 35, 75, 31, 71, 27, 67, 23, 63, 19, 59, 15, 55, 11, 51, 7, 47, 3, 43, 6, 46, 10, 50, 14, 54, 18, 58, 22, 62, 26, 66, 30, 70, 34, 74, 38, 78, 40, 80, 36, 76, 32, 72, 28, 68, 24, 64, 20, 60, 16, 56, 12, 52, 8, 48, 4, 44)(81, 121)(82, 122)(83, 123)(84, 124)(85, 125)(86, 126)(87, 127)(88, 128)(89, 129)(90, 130)(91, 131)(92, 132)(93, 133)(94, 134)(95, 135)(96, 136)(97, 137)(98, 138)(99, 139)(100, 140)(101, 141)(102, 142)(103, 143)(104, 144)(105, 145)(106, 146)(107, 147)(108, 148)(109, 149)(110, 150)(111, 151)(112, 152)(113, 153)(114, 154)(115, 155)(116, 156)(117, 157)(118, 158)(119, 159)(120, 160)
	L = (1, 83)(2, 86)(3, 81)(4, 87)(5, 90)(6, 82)(7, 84)(8, 91)(9, 94)(10, 85)(11, 88)(12, 95)(13, 98)(14, 89)(15, 92)(16, 99)(17, 102)(18, 93)(19, 96)(20, 103)(21, 106)(22, 97)(23, 100)(24, 107)(25, 110)(26, 101)(27, 104)(28, 111)(29, 114)(30, 105)(31, 108)(32, 115)(33, 118)(34, 109)(35, 112)(36, 119)(37, 120)(38, 113)(39, 116)(40, 117)(41, 121)(42, 122)(43, 123)(44, 124)(45, 125)(46, 126)(47, 127)(48, 128)(49, 129)(50, 130)(51, 131)(52, 132)(53, 133)(54, 134)(55, 135)(56, 136)(57, 137)(58, 138)(59, 139)(60, 140)(61, 141)(62, 142)(63, 143)(64, 144)(65, 145)(66, 146)(67, 147)(68, 148)(69, 149)(70, 150)(71, 151)(72, 152)(73, 153)(74, 154)(75, 155)(76, 156)(77, 157)(78, 158)(79, 159)(80, 160)
	local type(s) :: { ( 4, 80 ), ( 4, 80, 4, 80, 4, 80, 4, 80, 4, 80, 4, 80, 4, 80, 4, 80, 4, 80, 4, 80, 4, 80, 4, 80, 4, 80, 4, 80, 4, 80, 4, 80, 4, 80, 4, 80, 4, 80, 4, 80, 4, 80, 4, 80, 4, 80, 4, 80, 4, 80, 4, 80, 4, 80, 4, 80, 4, 80, 4, 80, 4, 80, 4, 80, 4, 80, 4, 80, 4, 80, 4, 80, 4, 80, 4, 80, 4, 80, 4, 80 ) }
Outer automorphisms :: reflexible
Dual of E10.506
Graph:: bipartite
	v = 41 e = 80 f = 21
	degree seq :: [ 2^40, 80 ]

E10.508 :: Family: { 5 } :: Oriented family(ies): { E3a }
Signature :: (0; {3, 6, 14})
Quotient :: edge
Aut^+ = C2 x (C7 : C3) (small group id <42, 2>)
Aut   = C2 x (C7 : C3) (small group id <42, 2>)
|r| :: 1
Presentation :: [ X1^3, X2^6, X1 * X2^2 * X1^-1 * X2^-1 * X1^-1 * X2, X1 * X2 * X1 * X2 * X1^-1 * X2^2, X1 * X2 * X1^-1 * X2^-1 * X1 * X2^-2, X1 * X2^2 * X1 * X2^-1 * X1 * X2^-1 ]
Map:: non-degenerate
	R = (1, 2, 4)(3, 8, 10)(5, 13, 14)(6, 16, 18)(7, 19, 20)(9, 24, 26)(11, 29, 31)(12, 32, 33)(15, 39, 40)(17, 27, 35)(21, 23, 37)(22, 36, 34)(25, 41, 42)(28, 30, 38)(43, 45, 51, 67, 57, 47)(44, 48, 59, 83, 63, 49)(46, 53, 72, 84, 76, 54)(50, 64, 58, 81, 71, 65)(52, 69, 75, 82, 61, 70)(55, 77, 73, 66, 62, 78)(56, 79, 74, 68, 60, 80)
	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 ), ( 28^6 ) }
Outer automorphisms :: chiral
Dual of E10.513
Transitivity :: ET+
Graph:: simple bipartite
	v = 21 e = 42 f = 3
	degree seq :: [ 3^14, 6^7 ]

E10.509 :: Family: { 5 } :: Oriented family(ies): { E3a }
Signature :: (0; {3, 6, 14})
Quotient :: edge
Aut^+ = C2 x (C7 : C3) (small group id <42, 2>)
Aut   = C2 x (C7 : C3) (small group id <42, 2>)
|r| :: 1
Presentation :: [ (X2 * X1^-1)^3, X1^-1 * X2^3 * X1 * X2, X1^6, X2 * X1^-2 * X2^-2 * X1^-1, (X2^-1 * X1^-1)^3, X1 * X2^-1 * X1^-1 * X2 * X1 * X2^-1 * X1^2 ]
Map:: polytopal non-degenerate
	R = (1, 2, 6, 18, 13, 4)(3, 9, 27, 35, 22, 11)(5, 15, 31, 36, 26, 16)(7, 21, 41, 29, 37, 23)(8, 24, 42, 33, 40, 25)(10, 30, 12, 32, 38, 19)(14, 34, 39, 20, 17, 28)(43, 45, 52, 67, 83, 76, 78, 60, 77, 74, 84, 65, 59, 47)(44, 49, 64, 81, 72, 57, 75, 55, 71, 51, 70, 80, 68, 50)(46, 54, 63, 58, 69, 82, 62, 48, 61, 79, 73, 53, 66, 56)
	L = (1, 43)(2, 44)(3, 45)(4, 46)(5, 47)(6, 48)(7, 49)(8, 50)(9, 51)(10, 52)(11, 53)(12, 54)(13, 55)(14, 56)(15, 57)(16, 58)(17, 59)(18, 60)(19, 61)(20, 62)(21, 63)(22, 64)(23, 65)(24, 66)(25, 67)(26, 68)(27, 69)(28, 70)(29, 71)(30, 72)(31, 73)(32, 74)(33, 75)(34, 76)(35, 77)(36, 78)(37, 79)(38, 80)(39, 81)(40, 82)(41, 83)(42, 84)
	local type(s) :: { ( 6^6 ), ( 6^14 ) }
Outer automorphisms :: chiral
Transitivity :: ET+
Graph:: bipartite
	v = 10 e = 42 f = 14
	degree seq :: [ 6^7, 14^3 ]

E10.510 :: Family: { 5 } :: Oriented family(ies): { E3a }
Signature :: (0; {3, 6, 14})
Quotient :: edge
Aut^+ = C2 x (C7 : C3) (small group id <42, 2>)
Aut   = C2 x (C7 : C3) (small group id <42, 2>)
|r| :: 1
Presentation :: [ X2^3, X1^3 * X2 * X1 * X2^-1, X1 * X2^-1 * X1^-2 * X2^-1 * X1^-1 * X2^-1, X1^2 * X2^-1 * X1 * X2^2 * X1^-1 * X2^2, X1^-1 * X2^-1 * X1 * X2 * X1^-1 * X2^-1 * X1 * X2 * X1^-2 ]
Map:: non-degenerate
	R = (1, 2, 6, 16, 36, 34, 40, 42, 41, 32, 39, 25, 12, 4)(3, 9, 23, 35, 17, 11, 28, 38, 20, 7, 19, 33, 27, 10)(5, 14, 31, 13, 30, 26, 29, 37, 18, 24, 22, 8, 21, 15)(43, 45, 47)(44, 49, 50)(46, 53, 55)(48, 59, 60)(51, 66, 67)(52, 68, 58)(54, 61, 71)(56, 74, 75)(57, 76, 77)(62, 73, 78)(63, 81, 70)(64, 82, 69)(65, 72, 83)(79, 84, 80)
	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) :: { ( 12^3 ), ( 12^14 ) }
Outer automorphisms :: chiral
Transitivity :: ET+
Graph:: simple bipartite
	v = 17 e = 42 f = 7
	degree seq :: [ 3^14, 14^3 ]

E10.511 :: Family: { 5* } :: Oriented family(ies): { E3*a }
Signature :: (0; {3, 6, 14})
Quotient :: loop
Aut^+ = C2 x (C7 : C3) (small group id <42, 2>)
Aut   = C2 x (C7 : C3) (small group id <42, 2>)
|r| :: 1
Presentation :: [ X1^3, X2^6, X1 * X2^2 * X1^-1 * X2^-1 * X1^-1 * X2, X1 * X2 * X1 * X2 * X1^-1 * X2^2, X1 * X2 * X1^-1 * X2^-1 * X1 * X2^-2, X1 * X2^2 * X1 * X2^-1 * X1 * X2^-1 ]
Map:: polytopal non-degenerate
	R = (1, 43, 2, 44, 4, 46)(3, 45, 8, 50, 10, 52)(5, 47, 13, 55, 14, 56)(6, 48, 16, 58, 18, 60)(7, 49, 19, 61, 20, 62)(9, 51, 24, 66, 26, 68)(11, 53, 29, 71, 31, 73)(12, 54, 32, 74, 33, 75)(15, 57, 39, 81, 40, 82)(17, 59, 27, 69, 35, 77)(21, 63, 23, 65, 37, 79)(22, 64, 36, 78, 34, 76)(25, 67, 41, 83, 42, 84)(28, 70, 30, 72, 38, 80)
	L = (1, 45)(2, 48)(3, 51)(4, 53)(5, 43)(6, 59)(7, 44)(8, 64)(9, 67)(10, 69)(11, 72)(12, 46)(13, 77)(14, 79)(15, 47)(16, 81)(17, 83)(18, 80)(19, 70)(20, 78)(21, 49)(22, 58)(23, 50)(24, 62)(25, 57)(26, 60)(27, 75)(28, 52)(29, 65)(30, 84)(31, 66)(32, 68)(33, 82)(34, 54)(35, 73)(36, 55)(37, 74)(38, 56)(39, 71)(40, 61)(41, 63)(42, 76)
	local type(s) :: { ( 6, 14, 6, 14, 6, 14 ) }
Outer automorphisms :: chiral
Transitivity :: ET+ VT+
Graph:: simple bipartite
	v = 14 e = 42 f = 10
	degree seq :: [ 6^14 ]

E10.512 :: Family: { 5* } :: Oriented family(ies): { E3*a }
Signature :: (0; {3, 6, 14})
Quotient :: loop
Aut^+ = C2 x (C7 : C3) (small group id <42, 2>)
Aut   = C2 x (C7 : C3) (small group id <42, 2>)
|r| :: 1
Presentation :: [ (X2 * X1^-1)^3, X1^-1 * X2^3 * X1 * X2, X1^6, X2 * X1^-2 * X2^-2 * X1^-1, (X2^-1 * X1^-1)^3, X1 * X2^-1 * X1^-1 * X2 * X1 * X2^-1 * X1^2 ]
Map:: non-degenerate
	R = (1, 43, 2, 44, 6, 48, 18, 60, 13, 55, 4, 46)(3, 45, 9, 51, 27, 69, 35, 77, 22, 64, 11, 53)(5, 47, 15, 57, 31, 73, 36, 78, 26, 68, 16, 58)(7, 49, 21, 63, 41, 83, 29, 71, 37, 79, 23, 65)(8, 50, 24, 66, 42, 84, 33, 75, 40, 82, 25, 67)(10, 52, 30, 72, 12, 54, 32, 74, 38, 80, 19, 61)(14, 56, 34, 76, 39, 81, 20, 62, 17, 59, 28, 70)
	L = (1, 45)(2, 49)(3, 52)(4, 54)(5, 43)(6, 61)(7, 64)(8, 44)(9, 70)(10, 67)(11, 66)(12, 63)(13, 71)(14, 46)(15, 75)(16, 69)(17, 47)(18, 77)(19, 79)(20, 48)(21, 58)(22, 81)(23, 59)(24, 56)(25, 83)(26, 50)(27, 82)(28, 80)(29, 51)(30, 57)(31, 53)(32, 84)(33, 55)(34, 78)(35, 74)(36, 60)(37, 73)(38, 68)(39, 72)(40, 62)(41, 76)(42, 65)
	local type(s) :: { ( 3, 14, 3, 14, 3, 14, 3, 14, 3, 14, 3, 14 ) }
Outer automorphisms :: chiral
Transitivity :: ET+ VT+
Graph::
	v = 7 e = 42 f = 17
	degree seq :: [ 12^7 ]

E10.513 :: Family: { 5* } :: Oriented family(ies): { E3*a }
Signature :: (0; {3, 6, 14})
Quotient :: loop
Aut^+ = C2 x (C7 : C3) (small group id <42, 2>)
Aut   = C2 x (C7 : C3) (small group id <42, 2>)
|r| :: 1
Presentation :: [ X2^3, X1^3 * X2 * X1 * X2^-1, X1 * X2^-1 * X1^-2 * X2^-1 * X1^-1 * X2^-1, X1^2 * X2^-1 * X1 * X2^2 * X1^-1 * X2^2, X1^-1 * X2^-1 * X1 * X2 * X1^-1 * X2^-1 * X1 * X2 * X1^-2 ]
Map:: non-degenerate
	R = (1, 43, 2, 44, 6, 48, 16, 58, 36, 78, 34, 76, 40, 82, 42, 84, 41, 83, 32, 74, 39, 81, 25, 67, 12, 54, 4, 46)(3, 45, 9, 51, 23, 65, 35, 77, 17, 59, 11, 53, 28, 70, 38, 80, 20, 62, 7, 49, 19, 61, 33, 75, 27, 69, 10, 52)(5, 47, 14, 56, 31, 73, 13, 55, 30, 72, 26, 68, 29, 71, 37, 79, 18, 60, 24, 66, 22, 64, 8, 50, 21, 63, 15, 57)
	L = (1, 45)(2, 49)(3, 47)(4, 53)(5, 43)(6, 59)(7, 50)(8, 44)(9, 66)(10, 68)(11, 55)(12, 61)(13, 46)(14, 74)(15, 76)(16, 52)(17, 60)(18, 48)(19, 71)(20, 73)(21, 81)(22, 82)(23, 72)(24, 67)(25, 51)(26, 58)(27, 64)(28, 63)(29, 54)(30, 83)(31, 78)(32, 75)(33, 56)(34, 77)(35, 57)(36, 62)(37, 84)(38, 79)(39, 70)(40, 69)(41, 65)(42, 80)
	local type(s) :: { ( 3, 6, 3, 6, 3, 6, 3, 6, 3, 6, 3, 6, 3, 6, 3, 6, 3, 6, 3, 6, 3, 6, 3, 6, 3, 6, 3, 6 ) }
Outer automorphisms :: chiral
Dual of E10.508
Transitivity :: ET+ VT+
Graph::
	v = 3 e = 42 f = 21
	degree seq :: [ 28^3 ]

E10.514 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 21, 42})
Quotient :: regular
Aut^+ = C42 (small group id <42, 6>)
Aut   = D84 (small group id <84, 14>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T2 * T1 * T2 * T1^-1, T2 * T1^-21 ]
Map::
	R = (1, 2, 5, 9, 13, 17, 21, 25, 29, 33, 37, 41, 39, 35, 31, 27, 23, 19, 15, 11, 7, 3, 6, 10, 14, 18, 22, 26, 30, 34, 38, 42, 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, 41)
	local type(s) :: { ( 21^42 ) }
Outer automorphisms :: reflexible
Dual of E10.515
Transitivity :: ET+ VT+ AT+ REG+
Graph::
	v = 1 e = 21 f = 2
	degree seq :: [ 42 ]

E10.515 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 21, 42})
Quotient :: regular
Aut^+ = C42 (small group id <42, 6>)
Aut   = D84 (small group id <84, 14>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T2 * T1 * T2 * T1^-1, T1^21 ]
Map::
	R = (1, 2, 5, 9, 13, 17, 21, 25, 29, 33, 37, 40, 36, 32, 28, 24, 20, 16, 12, 8, 4)(3, 6, 10, 14, 18, 22, 26, 30, 34, 38, 41, 42, 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, 41)(40, 42)
	local type(s) :: { ( 42^21 ) }
Outer automorphisms :: reflexible
Dual of E10.514
Transitivity :: ET+ VT+ AT+ REG+
Graph:: bipartite
	v = 2 e = 21 f = 1
	degree seq :: [ 21^2 ]

E10.516 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 21, 42})
Quotient :: edge
Aut^+ = C42 (small group id <42, 6>)
Aut   = D84 (small group id <84, 14>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, T2 * T1 * T2^-1 * T1, T2^21 ]
Map::
	R = (1, 3, 7, 11, 15, 19, 23, 27, 31, 35, 39, 40, 36, 32, 28, 24, 20, 16, 12, 8, 4)(2, 5, 9, 13, 17, 21, 25, 29, 33, 37, 41, 42, 38, 34, 30, 26, 22, 18, 14, 10, 6)(43, 44)(45, 47)(46, 48)(49, 51)(50, 52)(53, 55)(54, 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)
	L = (1, 43)(2, 44)(3, 45)(4, 46)(5, 47)(6, 48)(7, 49)(8, 50)(9, 51)(10, 52)(11, 53)(12, 54)(13, 55)(14, 56)(15, 57)(16, 58)(17, 59)(18, 60)(19, 61)(20, 62)(21, 63)(22, 64)(23, 65)(24, 66)(25, 67)(26, 68)(27, 69)(28, 70)(29, 71)(30, 72)(31, 73)(32, 74)(33, 75)(34, 76)(35, 77)(36, 78)(37, 79)(38, 80)(39, 81)(40, 82)(41, 83)(42, 84)
	local type(s) :: { ( 84, 84 ), ( 84^21 ) }
Outer automorphisms :: reflexible
Dual of E10.520
Transitivity :: ET+
Graph:: simple bipartite
	v = 23 e = 42 f = 1
	degree seq :: [ 2^21, 21^2 ]

E10.517 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 21, 42})
Quotient :: edge
Aut^+ = C42 (small group id <42, 6>)
Aut   = D84 (small group id <84, 14>)
|r| :: 2
Presentation :: [ F^2, T2^-2 * T1^-2, (F * T1)^2, (F * T2)^2, (T2^-1 * T1^-1)^2, T2^-2 * T1^8 * T2^-1 * T1 * T2^-9, T2^-2 * T1^19, T2^7 * T1^6 * T2^-1 * T1^9 * T2^-1 * T1^9 * T2^-1 * T1 ]
Map:: non-degenerate
	R = (1, 3, 9, 13, 17, 21, 25, 29, 33, 37, 41, 40, 35, 32, 27, 24, 19, 16, 11, 8, 2, 7, 4, 10, 14, 18, 22, 26, 30, 34, 38, 42, 39, 36, 31, 28, 23, 20, 15, 12, 6, 5)(43, 44, 48, 53, 57, 61, 65, 69, 73, 77, 81, 83, 80, 75, 72, 67, 64, 59, 56, 51, 46)(45, 49, 47, 50, 54, 58, 62, 66, 70, 74, 78, 82, 84, 79, 76, 71, 68, 63, 60, 55, 52)
	L = (1, 43)(2, 44)(3, 45)(4, 46)(5, 47)(6, 48)(7, 49)(8, 50)(9, 51)(10, 52)(11, 53)(12, 54)(13, 55)(14, 56)(15, 57)(16, 58)(17, 59)(18, 60)(19, 61)(20, 62)(21, 63)(22, 64)(23, 65)(24, 66)(25, 67)(26, 68)(27, 69)(28, 70)(29, 71)(30, 72)(31, 73)(32, 74)(33, 75)(34, 76)(35, 77)(36, 78)(37, 79)(38, 80)(39, 81)(40, 82)(41, 83)(42, 84)
	local type(s) :: { ( 4^21 ), ( 4^42 ) }
Outer automorphisms :: reflexible
Dual of E10.521
Transitivity :: ET+
Graph:: bipartite
	v = 3 e = 42 f = 21
	degree seq :: [ 21^2, 42 ]

E10.518 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 21, 42})
Quotient :: edge
Aut^+ = C42 (small group id <42, 6>)
Aut   = D84 (small group id <84, 14>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T2 * T1 * T2 * T1^-1, T2 * T1^-21 ]
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, 41)(43, 44, 47, 51, 55, 59, 63, 67, 71, 75, 79, 83, 81, 77, 73, 69, 65, 61, 57, 53, 49, 45, 48, 52, 56, 60, 64, 68, 72, 76, 80, 84, 82, 78, 74, 70, 66, 62, 58, 54, 50, 46)
	L = (1, 43)(2, 44)(3, 45)(4, 46)(5, 47)(6, 48)(7, 49)(8, 50)(9, 51)(10, 52)(11, 53)(12, 54)(13, 55)(14, 56)(15, 57)(16, 58)(17, 59)(18, 60)(19, 61)(20, 62)(21, 63)(22, 64)(23, 65)(24, 66)(25, 67)(26, 68)(27, 69)(28, 70)(29, 71)(30, 72)(31, 73)(32, 74)(33, 75)(34, 76)(35, 77)(36, 78)(37, 79)(38, 80)(39, 81)(40, 82)(41, 83)(42, 84)
	local type(s) :: { ( 42, 42 ), ( 42^42 ) }
Outer automorphisms :: reflexible
Dual of E10.519
Transitivity :: ET+
Graph:: bipartite
	v = 22 e = 42 f = 2
	degree seq :: [ 2^21, 42 ]

E10.519 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 21, 42})
Quotient :: loop
Aut^+ = C42 (small group id <42, 6>)
Aut   = D84 (small group id <84, 14>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, T2 * T1 * T2^-1 * T1, T2^21 ]
Map::
	R = (1, 43, 3, 45, 7, 49, 11, 53, 15, 57, 19, 61, 23, 65, 27, 69, 31, 73, 35, 77, 39, 81, 40, 82, 36, 78, 32, 74, 28, 70, 24, 66, 20, 62, 16, 58, 12, 54, 8, 50, 4, 46)(2, 44, 5, 47, 9, 51, 13, 55, 17, 59, 21, 63, 25, 67, 29, 71, 33, 75, 37, 79, 41, 83, 42, 84, 38, 80, 34, 76, 30, 72, 26, 68, 22, 64, 18, 60, 14, 56, 10, 52, 6, 48)
	L = (1, 44)(2, 43)(3, 47)(4, 48)(5, 45)(6, 46)(7, 51)(8, 52)(9, 49)(10, 50)(11, 55)(12, 56)(13, 53)(14, 54)(15, 59)(16, 60)(17, 57)(18, 58)(19, 63)(20, 64)(21, 61)(22, 62)(23, 67)(24, 68)(25, 65)(26, 66)(27, 71)(28, 72)(29, 69)(30, 70)(31, 75)(32, 76)(33, 73)(34, 74)(35, 79)(36, 80)(37, 77)(38, 78)(39, 83)(40, 84)(41, 81)(42, 82)
	local type(s) :: { ( 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42 ) }
Outer automorphisms :: reflexible
Dual of E10.518
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 2 e = 42 f = 22
	degree seq :: [ 42^2 ]

E10.520 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 21, 42})
Quotient :: loop
Aut^+ = C42 (small group id <42, 6>)
Aut   = D84 (small group id <84, 14>)
|r| :: 2
Presentation :: [ F^2, T2^-2 * T1^-2, (F * T1)^2, (F * T2)^2, (T2^-1 * T1^-1)^2, T2^-2 * T1^8 * T2^-1 * T1 * T2^-9, T2^-2 * T1^19, T2^7 * T1^6 * T2^-1 * T1^9 * T2^-1 * T1^9 * T2^-1 * T1 ]
Map::
	R = (1, 43, 3, 45, 9, 51, 13, 55, 17, 59, 21, 63, 25, 67, 29, 71, 33, 75, 37, 79, 41, 83, 40, 82, 35, 77, 32, 74, 27, 69, 24, 66, 19, 61, 16, 58, 11, 53, 8, 50, 2, 44, 7, 49, 4, 46, 10, 52, 14, 56, 18, 60, 22, 64, 26, 68, 30, 72, 34, 76, 38, 80, 42, 84, 39, 81, 36, 78, 31, 73, 28, 70, 23, 65, 20, 62, 15, 57, 12, 54, 6, 48, 5, 47)
	L = (1, 44)(2, 48)(3, 49)(4, 43)(5, 50)(6, 53)(7, 47)(8, 54)(9, 46)(10, 45)(11, 57)(12, 58)(13, 52)(14, 51)(15, 61)(16, 62)(17, 56)(18, 55)(19, 65)(20, 66)(21, 60)(22, 59)(23, 69)(24, 70)(25, 64)(26, 63)(27, 73)(28, 74)(29, 68)(30, 67)(31, 77)(32, 78)(33, 72)(34, 71)(35, 81)(36, 82)(37, 76)(38, 75)(39, 83)(40, 84)(41, 80)(42, 79)
	local type(s) :: { ( 2, 21, 2, 21, 2, 21, 2, 21, 2, 21, 2, 21, 2, 21, 2, 21, 2, 21, 2, 21, 2, 21, 2, 21, 2, 21, 2, 21, 2, 21, 2, 21, 2, 21, 2, 21, 2, 21, 2, 21, 2, 21, 2, 21, 2, 21, 2, 21, 2, 21, 2, 21, 2, 21, 2, 21, 2, 21, 2, 21, 2, 21, 2, 21, 2, 21, 2, 21, 2, 21, 2, 21, 2, 21, 2, 21, 2, 21, 2, 21, 2, 21, 2, 21 ) }
Outer automorphisms :: reflexible
Dual of E10.516
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 42 f = 23
	degree seq :: [ 84 ]

E10.521 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 21, 42})
Quotient :: loop
Aut^+ = C42 (small group id <42, 6>)
Aut   = D84 (small group id <84, 14>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T2 * T1 * T2 * T1^-1, T2 * T1^-21 ]
Map:: non-degenerate
	R = (1, 43, 3, 45)(2, 44, 6, 48)(4, 46, 7, 49)(5, 47, 10, 52)(8, 50, 11, 53)(9, 51, 14, 56)(12, 54, 15, 57)(13, 55, 18, 60)(16, 58, 19, 61)(17, 59, 22, 64)(20, 62, 23, 65)(21, 63, 26, 68)(24, 66, 27, 69)(25, 67, 30, 72)(28, 70, 31, 73)(29, 71, 34, 76)(32, 74, 35, 77)(33, 75, 38, 80)(36, 78, 39, 81)(37, 79, 42, 84)(40, 82, 41, 83)
	L = (1, 44)(2, 47)(3, 48)(4, 43)(5, 51)(6, 52)(7, 45)(8, 46)(9, 55)(10, 56)(11, 49)(12, 50)(13, 59)(14, 60)(15, 53)(16, 54)(17, 63)(18, 64)(19, 57)(20, 58)(21, 67)(22, 68)(23, 61)(24, 62)(25, 71)(26, 72)(27, 65)(28, 66)(29, 75)(30, 76)(31, 69)(32, 70)(33, 79)(34, 80)(35, 73)(36, 74)(37, 83)(38, 84)(39, 77)(40, 78)(41, 81)(42, 82)
	local type(s) :: { ( 21, 42, 21, 42 ) }
Outer automorphisms :: reflexible
Dual of E10.517
Transitivity :: ET+ VT+ AT
Graph::
	v = 21 e = 42 f = 3
	degree seq :: [ 4^21 ]

E10.522 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 21, 42})
Quotient :: dipole
Aut^+ = C42 (small group id <42, 6>)
Aut   = D84 (small group id <84, 14>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, (R * Y3)^2, (R * Y1)^2, Y2^-1 * Y1 * Y2 * Y1, (R * Y2 * Y3^-1)^2, Y2^21, (Y3 * Y2^-1)^42 ]
Map::
	R = (1, 43, 2, 44)(3, 45, 5, 47)(4, 46, 6, 48)(7, 49, 9, 51)(8, 50, 10, 52)(11, 53, 13, 55)(12, 54, 14, 56)(15, 57, 17, 59)(16, 58, 18, 60)(19, 61, 21, 63)(20, 62, 22, 64)(23, 65, 25, 67)(24, 66, 26, 68)(27, 69, 29, 71)(28, 70, 30, 72)(31, 73, 33, 75)(32, 74, 34, 76)(35, 77, 37, 79)(36, 78, 38, 80)(39, 81, 41, 83)(40, 82, 42, 84)(85, 127, 87, 129, 91, 133, 95, 137, 99, 141, 103, 145, 107, 149, 111, 153, 115, 157, 119, 161, 123, 165, 124, 166, 120, 162, 116, 158, 112, 154, 108, 150, 104, 146, 100, 142, 96, 138, 92, 134, 88, 130)(86, 128, 89, 131, 93, 135, 97, 139, 101, 143, 105, 147, 109, 151, 113, 155, 117, 159, 121, 163, 125, 167, 126, 168, 122, 164, 118, 160, 114, 156, 110, 152, 106, 148, 102, 144, 98, 140, 94, 136, 90, 132)
	L = (1, 86)(2, 85)(3, 89)(4, 90)(5, 87)(6, 88)(7, 93)(8, 94)(9, 91)(10, 92)(11, 97)(12, 98)(13, 95)(14, 96)(15, 101)(16, 102)(17, 99)(18, 100)(19, 105)(20, 106)(21, 103)(22, 104)(23, 109)(24, 110)(25, 107)(26, 108)(27, 113)(28, 114)(29, 111)(30, 112)(31, 117)(32, 118)(33, 115)(34, 116)(35, 121)(36, 122)(37, 119)(38, 120)(39, 125)(40, 126)(41, 123)(42, 124)(43, 127)(44, 128)(45, 129)(46, 130)(47, 131)(48, 132)(49, 133)(50, 134)(51, 135)(52, 136)(53, 137)(54, 138)(55, 139)(56, 140)(57, 141)(58, 142)(59, 143)(60, 144)(61, 145)(62, 146)(63, 147)(64, 148)(65, 149)(66, 150)(67, 151)(68, 152)(69, 153)(70, 154)(71, 155)(72, 156)(73, 157)(74, 158)(75, 159)(76, 160)(77, 161)(78, 162)(79, 163)(80, 164)(81, 165)(82, 166)(83, 167)(84, 168)
	local type(s) :: { ( 2, 84, 2, 84 ), ( 2, 84, 2, 84, 2, 84, 2, 84, 2, 84, 2, 84, 2, 84, 2, 84, 2, 84, 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 E10.525
Graph:: bipartite
	v = 23 e = 84 f = 43
	degree seq :: [ 4^21, 42^2 ]

E10.523 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 21, 42})
Quotient :: dipole
Aut^+ = C42 (small group id <42, 6>)
Aut   = D84 (small group id <84, 14>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y2^-1, Y2^2 * Y1^2, (R * Y1)^2, R * Y2 * R * Y3, (Y1, Y2^-1), (Y3^-1 * Y1^-1)^2, Y1^-1 * Y2^20, Y1^21 ]
Map::
	R = (1, 43, 2, 44, 6, 48, 11, 53, 15, 57, 19, 61, 23, 65, 27, 69, 31, 73, 35, 77, 39, 81, 41, 83, 38, 80, 33, 75, 30, 72, 25, 67, 22, 64, 17, 59, 14, 56, 9, 51, 4, 46)(3, 45, 7, 49, 5, 47, 8, 50, 12, 54, 16, 58, 20, 62, 24, 66, 28, 70, 32, 74, 36, 78, 40, 82, 42, 84, 37, 79, 34, 76, 29, 71, 26, 68, 21, 63, 18, 60, 13, 55, 10, 52)(85, 127, 87, 129, 93, 135, 97, 139, 101, 143, 105, 147, 109, 151, 113, 155, 117, 159, 121, 163, 125, 167, 124, 166, 119, 161, 116, 158, 111, 153, 108, 150, 103, 145, 100, 142, 95, 137, 92, 134, 86, 128, 91, 133, 88, 130, 94, 136, 98, 140, 102, 144, 106, 148, 110, 152, 114, 156, 118, 160, 122, 164, 126, 168, 123, 165, 120, 162, 115, 157, 112, 154, 107, 149, 104, 146, 99, 141, 96, 138, 90, 132, 89, 131)
	L = (1, 87)(2, 91)(3, 93)(4, 94)(5, 85)(6, 89)(7, 88)(8, 86)(9, 97)(10, 98)(11, 92)(12, 90)(13, 101)(14, 102)(15, 96)(16, 95)(17, 105)(18, 106)(19, 100)(20, 99)(21, 109)(22, 110)(23, 104)(24, 103)(25, 113)(26, 114)(27, 108)(28, 107)(29, 117)(30, 118)(31, 112)(32, 111)(33, 121)(34, 122)(35, 116)(36, 115)(37, 125)(38, 126)(39, 120)(40, 119)(41, 124)(42, 123)(43, 127)(44, 128)(45, 129)(46, 130)(47, 131)(48, 132)(49, 133)(50, 134)(51, 135)(52, 136)(53, 137)(54, 138)(55, 139)(56, 140)(57, 141)(58, 142)(59, 143)(60, 144)(61, 145)(62, 146)(63, 147)(64, 148)(65, 149)(66, 150)(67, 151)(68, 152)(69, 153)(70, 154)(71, 155)(72, 156)(73, 157)(74, 158)(75, 159)(76, 160)(77, 161)(78, 162)(79, 163)(80, 164)(81, 165)(82, 166)(83, 167)(84, 168)
	local type(s) :: { ( 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4 ), ( 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 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 E10.524
Graph:: bipartite
	v = 3 e = 84 f = 63
	degree seq :: [ 42^2, 84 ]

E10.524 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 21, 42})
Quotient :: dipole
Aut^+ = C42 (small group id <42, 6>)
Aut   = D84 (small group id <84, 14>)
|r| :: 2
Presentation :: [ Y1, Y2^2, R^2, (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, Y3^-1 * Y2 * Y3 * Y2, Y3^21 * Y2, (Y3^-1 * Y1^-1)^42 ]
Map::
	R = (1, 43)(2, 44)(3, 45)(4, 46)(5, 47)(6, 48)(7, 49)(8, 50)(9, 51)(10, 52)(11, 53)(12, 54)(13, 55)(14, 56)(15, 57)(16, 58)(17, 59)(18, 60)(19, 61)(20, 62)(21, 63)(22, 64)(23, 65)(24, 66)(25, 67)(26, 68)(27, 69)(28, 70)(29, 71)(30, 72)(31, 73)(32, 74)(33, 75)(34, 76)(35, 77)(36, 78)(37, 79)(38, 80)(39, 81)(40, 82)(41, 83)(42, 84)(85, 127, 86, 128)(87, 129, 89, 131)(88, 130, 90, 132)(91, 133, 93, 135)(92, 134, 94, 136)(95, 137, 97, 139)(96, 138, 98, 140)(99, 141, 101, 143)(100, 142, 102, 144)(103, 145, 105, 147)(104, 146, 106, 148)(107, 149, 109, 151)(108, 150, 110, 152)(111, 153, 113, 155)(112, 154, 114, 156)(115, 157, 117, 159)(116, 158, 118, 160)(119, 161, 121, 163)(120, 162, 122, 164)(123, 165, 125, 167)(124, 166, 126, 168)
	L = (1, 87)(2, 89)(3, 91)(4, 85)(5, 93)(6, 86)(7, 95)(8, 88)(9, 97)(10, 90)(11, 99)(12, 92)(13, 101)(14, 94)(15, 103)(16, 96)(17, 105)(18, 98)(19, 107)(20, 100)(21, 109)(22, 102)(23, 111)(24, 104)(25, 113)(26, 106)(27, 115)(28, 108)(29, 117)(30, 110)(31, 119)(32, 112)(33, 121)(34, 114)(35, 123)(36, 116)(37, 125)(38, 118)(39, 126)(40, 120)(41, 124)(42, 122)(43, 127)(44, 128)(45, 129)(46, 130)(47, 131)(48, 132)(49, 133)(50, 134)(51, 135)(52, 136)(53, 137)(54, 138)(55, 139)(56, 140)(57, 141)(58, 142)(59, 143)(60, 144)(61, 145)(62, 146)(63, 147)(64, 148)(65, 149)(66, 150)(67, 151)(68, 152)(69, 153)(70, 154)(71, 155)(72, 156)(73, 157)(74, 158)(75, 159)(76, 160)(77, 161)(78, 162)(79, 163)(80, 164)(81, 165)(82, 166)(83, 167)(84, 168)
	local type(s) :: { ( 42, 84 ), ( 42, 84, 42, 84 ) }
Outer automorphisms :: reflexible
Dual of E10.523
Graph:: simple bipartite
	v = 63 e = 84 f = 3
	degree seq :: [ 2^42, 4^21 ]

E10.525 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 21, 42})
Quotient :: dipole
Aut^+ = C42 (small group id <42, 6>)
Aut   = D84 (small group id <84, 14>)
|r| :: 2
Presentation :: [ Y2, R^2, Y3^2, R * Y2 * R * Y2^-1, Y3 * Y1 * Y3 * Y1^-1, (R * Y1)^2, (R * Y3)^2, (Y3 * Y2^-1)^2, Y3 * Y1^-21 ]
Map::
	R = (1, 43, 2, 44, 5, 47, 9, 51, 13, 55, 17, 59, 21, 63, 25, 67, 29, 71, 33, 75, 37, 79, 41, 83, 39, 81, 35, 77, 31, 73, 27, 69, 23, 65, 19, 61, 15, 57, 11, 53, 7, 49, 3, 45, 6, 48, 10, 52, 14, 56, 18, 60, 22, 64, 26, 68, 30, 72, 34, 76, 38, 80, 42, 84, 40, 82, 36, 78, 32, 74, 28, 70, 24, 66, 20, 62, 16, 58, 12, 54, 8, 50, 4, 46)(85, 127)(86, 128)(87, 129)(88, 130)(89, 131)(90, 132)(91, 133)(92, 134)(93, 135)(94, 136)(95, 137)(96, 138)(97, 139)(98, 140)(99, 141)(100, 142)(101, 143)(102, 144)(103, 145)(104, 146)(105, 147)(106, 148)(107, 149)(108, 150)(109, 151)(110, 152)(111, 153)(112, 154)(113, 155)(114, 156)(115, 157)(116, 158)(117, 159)(118, 160)(119, 161)(120, 162)(121, 163)(122, 164)(123, 165)(124, 166)(125, 167)(126, 168)
	L = (1, 87)(2, 90)(3, 85)(4, 91)(5, 94)(6, 86)(7, 88)(8, 95)(9, 98)(10, 89)(11, 92)(12, 99)(13, 102)(14, 93)(15, 96)(16, 103)(17, 106)(18, 97)(19, 100)(20, 107)(21, 110)(22, 101)(23, 104)(24, 111)(25, 114)(26, 105)(27, 108)(28, 115)(29, 118)(30, 109)(31, 112)(32, 119)(33, 122)(34, 113)(35, 116)(36, 123)(37, 126)(38, 117)(39, 120)(40, 125)(41, 124)(42, 121)(43, 127)(44, 128)(45, 129)(46, 130)(47, 131)(48, 132)(49, 133)(50, 134)(51, 135)(52, 136)(53, 137)(54, 138)(55, 139)(56, 140)(57, 141)(58, 142)(59, 143)(60, 144)(61, 145)(62, 146)(63, 147)(64, 148)(65, 149)(66, 150)(67, 151)(68, 152)(69, 153)(70, 154)(71, 155)(72, 156)(73, 157)(74, 158)(75, 159)(76, 160)(77, 161)(78, 162)(79, 163)(80, 164)(81, 165)(82, 166)(83, 167)(84, 168)
	local type(s) :: { ( 4, 42 ), ( 4, 42, 4, 42, 4, 42, 4, 42, 4, 42, 4, 42, 4, 42, 4, 42, 4, 42, 4, 42, 4, 42, 4, 42, 4, 42, 4, 42, 4, 42, 4, 42, 4, 42, 4, 42, 4, 42, 4, 42, 4, 42, 4, 42, 4, 42, 4, 42, 4, 42, 4, 42, 4, 42, 4, 42, 4, 42, 4, 42, 4, 42, 4, 42, 4, 42, 4, 42, 4, 42, 4, 42, 4, 42, 4, 42, 4, 42, 4, 42, 4, 42, 4, 42 ) }
Outer automorphisms :: reflexible
Dual of E10.522
Graph:: bipartite
	v = 43 e = 84 f = 23
	degree seq :: [ 2^42, 84 ]

E10.526 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 21, 42})
Quotient :: dipole
Aut^+ = C42 (small group id <42, 6>)
Aut   = D84 (small group id <84, 14>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, (R * Y3)^2, (R * Y1)^2, Y2^-1 * Y1 * Y2 * Y1, (R * Y2 * Y3^-1)^2, Y2^21 * Y1, (Y3 * Y2^-1)^21 ]
Map::
	R = (1, 43, 2, 44)(3, 45, 5, 47)(4, 46, 6, 48)(7, 49, 9, 51)(8, 50, 10, 52)(11, 53, 13, 55)(12, 54, 14, 56)(15, 57, 17, 59)(16, 58, 18, 60)(19, 61, 21, 63)(20, 62, 22, 64)(23, 65, 25, 67)(24, 66, 26, 68)(27, 69, 29, 71)(28, 70, 30, 72)(31, 73, 33, 75)(32, 74, 34, 76)(35, 77, 37, 79)(36, 78, 38, 80)(39, 81, 41, 83)(40, 82, 42, 84)(85, 127, 87, 129, 91, 133, 95, 137, 99, 141, 103, 145, 107, 149, 111, 153, 115, 157, 119, 161, 123, 165, 126, 168, 122, 164, 118, 160, 114, 156, 110, 152, 106, 148, 102, 144, 98, 140, 94, 136, 90, 132, 86, 128, 89, 131, 93, 135, 97, 139, 101, 143, 105, 147, 109, 151, 113, 155, 117, 159, 121, 163, 125, 167, 124, 166, 120, 162, 116, 158, 112, 154, 108, 150, 104, 146, 100, 142, 96, 138, 92, 134, 88, 130)
	L = (1, 86)(2, 85)(3, 89)(4, 90)(5, 87)(6, 88)(7, 93)(8, 94)(9, 91)(10, 92)(11, 97)(12, 98)(13, 95)(14, 96)(15, 101)(16, 102)(17, 99)(18, 100)(19, 105)(20, 106)(21, 103)(22, 104)(23, 109)(24, 110)(25, 107)(26, 108)(27, 113)(28, 114)(29, 111)(30, 112)(31, 117)(32, 118)(33, 115)(34, 116)(35, 121)(36, 122)(37, 119)(38, 120)(39, 125)(40, 126)(41, 123)(42, 124)(43, 127)(44, 128)(45, 129)(46, 130)(47, 131)(48, 132)(49, 133)(50, 134)(51, 135)(52, 136)(53, 137)(54, 138)(55, 139)(56, 140)(57, 141)(58, 142)(59, 143)(60, 144)(61, 145)(62, 146)(63, 147)(64, 148)(65, 149)(66, 150)(67, 151)(68, 152)(69, 153)(70, 154)(71, 155)(72, 156)(73, 157)(74, 158)(75, 159)(76, 160)(77, 161)(78, 162)(79, 163)(80, 164)(81, 165)(82, 166)(83, 167)(84, 168)
	local type(s) :: { ( 2, 42, 2, 42 ), ( 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42 ) }
Outer automorphisms :: reflexible
Dual of E10.527
Graph:: bipartite
	v = 22 e = 84 f = 44
	degree seq :: [ 4^21, 84 ]

E10.527 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 21, 42})
Quotient :: dipole
Aut^+ = C42 (small group id <42, 6>)
Aut   = D84 (small group id <84, 14>)
|r| :: 2
Presentation :: [ Y2, R^2, Y3^-2 * Y1^-2, (R * Y1)^2, (R * Y3)^2, (Y3^-1, Y1^-1), (R * Y2 * Y3^-1)^2, Y1^-1 * Y3^20, Y1^8 * Y3^-1 * Y1^2 * Y3^-9 * Y1, Y1^21, (Y3 * Y2^-1)^42 ]
Map::
	R = (1, 43, 2, 44, 6, 48, 11, 53, 15, 57, 19, 61, 23, 65, 27, 69, 31, 73, 35, 77, 39, 81, 41, 83, 38, 80, 33, 75, 30, 72, 25, 67, 22, 64, 17, 59, 14, 56, 9, 51, 4, 46)(3, 45, 7, 49, 5, 47, 8, 50, 12, 54, 16, 58, 20, 62, 24, 66, 28, 70, 32, 74, 36, 78, 40, 82, 42, 84, 37, 79, 34, 76, 29, 71, 26, 68, 21, 63, 18, 60, 13, 55, 10, 52)(85, 127)(86, 128)(87, 129)(88, 130)(89, 131)(90, 132)(91, 133)(92, 134)(93, 135)(94, 136)(95, 137)(96, 138)(97, 139)(98, 140)(99, 141)(100, 142)(101, 143)(102, 144)(103, 145)(104, 146)(105, 147)(106, 148)(107, 149)(108, 150)(109, 151)(110, 152)(111, 153)(112, 154)(113, 155)(114, 156)(115, 157)(116, 158)(117, 159)(118, 160)(119, 161)(120, 162)(121, 163)(122, 164)(123, 165)(124, 166)(125, 167)(126, 168)
	L = (1, 87)(2, 91)(3, 93)(4, 94)(5, 85)(6, 89)(7, 88)(8, 86)(9, 97)(10, 98)(11, 92)(12, 90)(13, 101)(14, 102)(15, 96)(16, 95)(17, 105)(18, 106)(19, 100)(20, 99)(21, 109)(22, 110)(23, 104)(24, 103)(25, 113)(26, 114)(27, 108)(28, 107)(29, 117)(30, 118)(31, 112)(32, 111)(33, 121)(34, 122)(35, 116)(36, 115)(37, 125)(38, 126)(39, 120)(40, 119)(41, 124)(42, 123)(43, 127)(44, 128)(45, 129)(46, 130)(47, 131)(48, 132)(49, 133)(50, 134)(51, 135)(52, 136)(53, 137)(54, 138)(55, 139)(56, 140)(57, 141)(58, 142)(59, 143)(60, 144)(61, 145)(62, 146)(63, 147)(64, 148)(65, 149)(66, 150)(67, 151)(68, 152)(69, 153)(70, 154)(71, 155)(72, 156)(73, 157)(74, 158)(75, 159)(76, 160)(77, 161)(78, 162)(79, 163)(80, 164)(81, 165)(82, 166)(83, 167)(84, 168)
	local type(s) :: { ( 4, 84 ), ( 4, 84, 4, 84, 4, 84, 4, 84, 4, 84, 4, 84, 4, 84, 4, 84, 4, 84, 4, 84, 4, 84, 4, 84, 4, 84, 4, 84, 4, 84, 4, 84, 4, 84, 4, 84, 4, 84, 4, 84, 4, 84 ) }
Outer automorphisms :: reflexible
Dual of E10.526
Graph:: simple bipartite
	v = 44 e = 84 f = 22
	degree seq :: [ 2^42, 42^2 ]

E10.528 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 11})
Quotient :: dipole
Aut^+ = D44 (small group id <44, 3>)
Aut   = C2 x C2 x D22 (small group id <88, 11>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, Y3^2, R^2, (R * Y2)^2, (Y3 * Y2)^2, (R * Y1)^2, (Y2 * Y1)^2, (R * Y3)^2, (Y3 * Y1)^11 ]
Map:: polytopal non-degenerate
	R = (1, 45, 2, 46)(3, 47, 5, 49)(4, 48, 8, 52)(6, 50, 10, 54)(7, 51, 11, 55)(9, 53, 13, 57)(12, 56, 16, 60)(14, 58, 18, 62)(15, 59, 19, 63)(17, 61, 21, 65)(20, 64, 24, 68)(22, 66, 26, 70)(23, 67, 27, 71)(25, 69, 29, 73)(28, 72, 32, 76)(30, 74, 34, 78)(31, 75, 35, 79)(33, 77, 37, 81)(36, 80, 40, 84)(38, 82, 42, 86)(39, 83, 43, 87)(41, 85, 44, 88)(89, 133, 91, 135)(90, 134, 93, 137)(92, 136, 95, 139)(94, 138, 97, 141)(96, 140, 99, 143)(98, 142, 101, 145)(100, 144, 103, 147)(102, 146, 105, 149)(104, 148, 107, 151)(106, 150, 109, 153)(108, 152, 111, 155)(110, 154, 113, 157)(112, 156, 115, 159)(114, 158, 117, 161)(116, 160, 119, 163)(118, 162, 121, 165)(120, 164, 123, 167)(122, 166, 125, 169)(124, 168, 127, 171)(126, 170, 129, 173)(128, 172, 131, 175)(130, 174, 132, 176)
	L = (1, 92)(2, 94)(3, 95)(4, 89)(5, 97)(6, 90)(7, 91)(8, 100)(9, 93)(10, 102)(11, 103)(12, 96)(13, 105)(14, 98)(15, 99)(16, 108)(17, 101)(18, 110)(19, 111)(20, 104)(21, 113)(22, 106)(23, 107)(24, 116)(25, 109)(26, 118)(27, 119)(28, 112)(29, 121)(30, 114)(31, 115)(32, 124)(33, 117)(34, 126)(35, 127)(36, 120)(37, 129)(38, 122)(39, 123)(40, 130)(41, 125)(42, 128)(43, 132)(44, 131)(45, 133)(46, 134)(47, 135)(48, 136)(49, 137)(50, 138)(51, 139)(52, 140)(53, 141)(54, 142)(55, 143)(56, 144)(57, 145)(58, 146)(59, 147)(60, 148)(61, 149)(62, 150)(63, 151)(64, 152)(65, 153)(66, 154)(67, 155)(68, 156)(69, 157)(70, 158)(71, 159)(72, 160)(73, 161)(74, 162)(75, 163)(76, 164)(77, 165)(78, 166)(79, 167)(80, 168)(81, 169)(82, 170)(83, 171)(84, 172)(85, 173)(86, 174)(87, 175)(88, 176)
	local type(s) :: { ( 4, 22, 4, 22 ) }
Outer automorphisms :: reflexible
Dual of E10.529
Graph:: simple bipartite
	v = 44 e = 88 f = 26
	degree seq :: [ 4^44 ]

E10.529 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 11})
Quotient :: dipole
Aut^+ = D44 (small group id <44, 3>)
Aut   = C2 x C2 x D22 (small group id <88, 11>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, (R * Y2)^2, (Y3 * Y2)^2, (R * Y1)^2, (R * Y3)^2, (Y3 * Y1^-1)^2, (Y1^-1 * Y2)^2, Y1^11 ]
Map:: polytopal non-degenerate
	R = (1, 45, 2, 46, 6, 50, 13, 57, 21, 65, 29, 73, 36, 80, 28, 72, 20, 64, 12, 56, 5, 49)(3, 47, 9, 53, 17, 61, 25, 69, 33, 77, 40, 84, 37, 81, 30, 74, 22, 66, 14, 58, 7, 51)(4, 48, 11, 55, 19, 63, 27, 71, 35, 79, 42, 86, 38, 82, 31, 75, 23, 67, 15, 59, 8, 52)(10, 54, 16, 60, 24, 68, 32, 76, 39, 83, 43, 87, 44, 88, 41, 85, 34, 78, 26, 70, 18, 62)(89, 133, 91, 135)(90, 134, 95, 139)(92, 136, 98, 142)(93, 137, 97, 141)(94, 138, 102, 146)(96, 140, 104, 148)(99, 143, 106, 150)(100, 144, 105, 149)(101, 145, 110, 154)(103, 147, 112, 156)(107, 151, 114, 158)(108, 152, 113, 157)(109, 153, 118, 162)(111, 155, 120, 164)(115, 159, 122, 166)(116, 160, 121, 165)(117, 161, 125, 169)(119, 163, 127, 171)(123, 167, 129, 173)(124, 168, 128, 172)(126, 170, 131, 175)(130, 174, 132, 176)
	L = (1, 92)(2, 96)(3, 98)(4, 89)(5, 99)(6, 103)(7, 104)(8, 90)(9, 106)(10, 91)(11, 93)(12, 107)(13, 111)(14, 112)(15, 94)(16, 95)(17, 114)(18, 97)(19, 100)(20, 115)(21, 119)(22, 120)(23, 101)(24, 102)(25, 122)(26, 105)(27, 108)(28, 123)(29, 126)(30, 127)(31, 109)(32, 110)(33, 129)(34, 113)(35, 116)(36, 130)(37, 131)(38, 117)(39, 118)(40, 132)(41, 121)(42, 124)(43, 125)(44, 128)(45, 133)(46, 134)(47, 135)(48, 136)(49, 137)(50, 138)(51, 139)(52, 140)(53, 141)(54, 142)(55, 143)(56, 144)(57, 145)(58, 146)(59, 147)(60, 148)(61, 149)(62, 150)(63, 151)(64, 152)(65, 153)(66, 154)(67, 155)(68, 156)(69, 157)(70, 158)(71, 159)(72, 160)(73, 161)(74, 162)(75, 163)(76, 164)(77, 165)(78, 166)(79, 167)(80, 168)(81, 169)(82, 170)(83, 171)(84, 172)(85, 173)(86, 174)(87, 175)(88, 176)
	local type(s) :: { ( 4^4 ), ( 4^22 ) }
Outer automorphisms :: reflexible
Dual of E10.528
Graph:: simple bipartite
	v = 26 e = 88 f = 44
	degree seq :: [ 4^22, 22^4 ]

E10.530 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {4, 4, 11})
Quotient :: edge
Aut^+ = C11 : C4 (small group id <44, 1>)
Aut   = (C22 x C2) : C2 (small group id <88, 7>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, T1^4, T2 * T1 * T2 * T1^-1, T2^11 ]
Map:: non-degenerate
	R = (1, 3, 9, 17, 25, 33, 36, 28, 20, 12, 5)(2, 7, 15, 23, 31, 39, 40, 32, 24, 16, 8)(4, 11, 19, 27, 35, 42, 41, 34, 26, 18, 10)(6, 13, 21, 29, 37, 43, 44, 38, 30, 22, 14)(45, 46, 50, 48)(47, 52, 57, 54)(49, 51, 58, 55)(53, 60, 65, 62)(56, 59, 66, 63)(61, 68, 73, 70)(64, 67, 74, 71)(69, 76, 81, 78)(72, 75, 82, 79)(77, 84, 87, 85)(80, 83, 88, 86)
	L = (1, 45)(2, 46)(3, 47)(4, 48)(5, 49)(6, 50)(7, 51)(8, 52)(9, 53)(10, 54)(11, 55)(12, 56)(13, 57)(14, 58)(15, 59)(16, 60)(17, 61)(18, 62)(19, 63)(20, 64)(21, 65)(22, 66)(23, 67)(24, 68)(25, 69)(26, 70)(27, 71)(28, 72)(29, 73)(30, 74)(31, 75)(32, 76)(33, 77)(34, 78)(35, 79)(36, 80)(37, 81)(38, 82)(39, 83)(40, 84)(41, 85)(42, 86)(43, 87)(44, 88)
	local type(s) :: { ( 8^4 ), ( 8^11 ) }
Outer automorphisms :: reflexible
Dual of E10.531
Transitivity :: ET+
Graph:: simple bipartite
	v = 15 e = 44 f = 11
	degree seq :: [ 4^11, 11^4 ]

E10.531 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {4, 4, 11})
Quotient :: loop
Aut^+ = C11 : C4 (small group id <44, 1>)
Aut   = (C22 x C2) : C2 (small group id <88, 7>)
|r| :: 2
Presentation :: [ F^2, T2^-2 * T1^-2, T2^-2 * T1^2, (F * T2)^2, (F * T1)^2, T2^4, (T2 * T1)^11 ]
Map:: non-degenerate
	R = (1, 45, 3, 47, 6, 50, 5, 49)(2, 46, 7, 51, 4, 48, 8, 52)(9, 53, 13, 57, 10, 54, 14, 58)(11, 55, 15, 59, 12, 56, 16, 60)(17, 61, 21, 65, 18, 62, 22, 66)(19, 63, 23, 67, 20, 64, 24, 68)(25, 69, 29, 73, 26, 70, 30, 74)(27, 71, 31, 75, 28, 72, 32, 76)(33, 77, 37, 81, 34, 78, 38, 82)(35, 79, 39, 83, 36, 80, 40, 84)(41, 85, 44, 88, 42, 86, 43, 87)
	L = (1, 46)(2, 50)(3, 53)(4, 45)(5, 54)(6, 48)(7, 55)(8, 56)(9, 49)(10, 47)(11, 52)(12, 51)(13, 61)(14, 62)(15, 63)(16, 64)(17, 58)(18, 57)(19, 60)(20, 59)(21, 69)(22, 70)(23, 71)(24, 72)(25, 66)(26, 65)(27, 68)(28, 67)(29, 77)(30, 78)(31, 79)(32, 80)(33, 74)(34, 73)(35, 76)(36, 75)(37, 85)(38, 86)(39, 87)(40, 88)(41, 82)(42, 81)(43, 84)(44, 83)
	local type(s) :: { ( 4, 11, 4, 11, 4, 11, 4, 11 ) }
Outer automorphisms :: reflexible
Dual of E10.530
Transitivity :: ET+ VT+ AT
Graph::
	v = 11 e = 44 f = 15
	degree seq :: [ 8^11 ]

E10.532 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 11})
Quotient :: dipole
Aut^+ = C11 : C4 (small group id <44, 1>)
Aut   = (C22 x C2) : C2 (small group id <88, 7>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, (R * Y3)^2, (R * Y1)^2, Y1^-1 * Y2^-1 * Y1 * Y2^-1, Y1^4, (Y3^-1 * Y1^-1)^4, Y2^11 ]
Map::
	R = (1, 45, 2, 46, 6, 50, 4, 48)(3, 47, 8, 52, 13, 57, 10, 54)(5, 49, 7, 51, 14, 58, 11, 55)(9, 53, 16, 60, 21, 65, 18, 62)(12, 56, 15, 59, 22, 66, 19, 63)(17, 61, 24, 68, 29, 73, 26, 70)(20, 64, 23, 67, 30, 74, 27, 71)(25, 69, 32, 76, 37, 81, 34, 78)(28, 72, 31, 75, 38, 82, 35, 79)(33, 77, 40, 84, 43, 87, 41, 85)(36, 80, 39, 83, 44, 88, 42, 86)(89, 133, 91, 135, 97, 141, 105, 149, 113, 157, 121, 165, 124, 168, 116, 160, 108, 152, 100, 144, 93, 137)(90, 134, 95, 139, 103, 147, 111, 155, 119, 163, 127, 171, 128, 172, 120, 164, 112, 156, 104, 148, 96, 140)(92, 136, 99, 143, 107, 151, 115, 159, 123, 167, 130, 174, 129, 173, 122, 166, 114, 158, 106, 150, 98, 142)(94, 138, 101, 145, 109, 153, 117, 161, 125, 169, 131, 175, 132, 176, 126, 170, 118, 162, 110, 154, 102, 146)
	L = (1, 91)(2, 95)(3, 97)(4, 99)(5, 89)(6, 101)(7, 103)(8, 90)(9, 105)(10, 92)(11, 107)(12, 93)(13, 109)(14, 94)(15, 111)(16, 96)(17, 113)(18, 98)(19, 115)(20, 100)(21, 117)(22, 102)(23, 119)(24, 104)(25, 121)(26, 106)(27, 123)(28, 108)(29, 125)(30, 110)(31, 127)(32, 112)(33, 124)(34, 114)(35, 130)(36, 116)(37, 131)(38, 118)(39, 128)(40, 120)(41, 122)(42, 129)(43, 132)(44, 126)(45, 133)(46, 134)(47, 135)(48, 136)(49, 137)(50, 138)(51, 139)(52, 140)(53, 141)(54, 142)(55, 143)(56, 144)(57, 145)(58, 146)(59, 147)(60, 148)(61, 149)(62, 150)(63, 151)(64, 152)(65, 153)(66, 154)(67, 155)(68, 156)(69, 157)(70, 158)(71, 159)(72, 160)(73, 161)(74, 162)(75, 163)(76, 164)(77, 165)(78, 166)(79, 167)(80, 168)(81, 169)(82, 170)(83, 171)(84, 172)(85, 173)(86, 174)(87, 175)(88, 176)
	local type(s) :: { ( 2, 8, 2, 8, 2, 8, 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 E10.533
Graph:: bipartite
	v = 15 e = 88 f = 55
	degree seq :: [ 8^11, 22^4 ]

E10.533 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 11})
Quotient :: dipole
Aut^+ = C11 : C4 (small group id <44, 1>)
Aut   = (C22 x C2) : C2 (small group id <88, 7>)
|r| :: 2
Presentation :: [ Y1, R^2, (R * Y3)^2, (R * Y1)^2, Y2^4, Y2^-1 * Y3^-1 * Y2 * Y3^-1, (R * Y2 * Y3^-1)^2, (Y3^-1 * Y1^-1)^11 ]
Map::
	R = (1, 45)(2, 46)(3, 47)(4, 48)(5, 49)(6, 50)(7, 51)(8, 52)(9, 53)(10, 54)(11, 55)(12, 56)(13, 57)(14, 58)(15, 59)(16, 60)(17, 61)(18, 62)(19, 63)(20, 64)(21, 65)(22, 66)(23, 67)(24, 68)(25, 69)(26, 70)(27, 71)(28, 72)(29, 73)(30, 74)(31, 75)(32, 76)(33, 77)(34, 78)(35, 79)(36, 80)(37, 81)(38, 82)(39, 83)(40, 84)(41, 85)(42, 86)(43, 87)(44, 88)(89, 133, 90, 134, 94, 138, 92, 136)(91, 135, 96, 140, 101, 145, 98, 142)(93, 137, 95, 139, 102, 146, 99, 143)(97, 141, 104, 148, 109, 153, 106, 150)(100, 144, 103, 147, 110, 154, 107, 151)(105, 149, 112, 156, 117, 161, 114, 158)(108, 152, 111, 155, 118, 162, 115, 159)(113, 157, 120, 164, 125, 169, 122, 166)(116, 160, 119, 163, 126, 170, 123, 167)(121, 165, 128, 172, 131, 175, 129, 173)(124, 168, 127, 171, 132, 176, 130, 174)
	L = (1, 91)(2, 95)(3, 97)(4, 99)(5, 89)(6, 101)(7, 103)(8, 90)(9, 105)(10, 92)(11, 107)(12, 93)(13, 109)(14, 94)(15, 111)(16, 96)(17, 113)(18, 98)(19, 115)(20, 100)(21, 117)(22, 102)(23, 119)(24, 104)(25, 121)(26, 106)(27, 123)(28, 108)(29, 125)(30, 110)(31, 127)(32, 112)(33, 124)(34, 114)(35, 130)(36, 116)(37, 131)(38, 118)(39, 128)(40, 120)(41, 122)(42, 129)(43, 132)(44, 126)(45, 133)(46, 134)(47, 135)(48, 136)(49, 137)(50, 138)(51, 139)(52, 140)(53, 141)(54, 142)(55, 143)(56, 144)(57, 145)(58, 146)(59, 147)(60, 148)(61, 149)(62, 150)(63, 151)(64, 152)(65, 153)(66, 154)(67, 155)(68, 156)(69, 157)(70, 158)(71, 159)(72, 160)(73, 161)(74, 162)(75, 163)(76, 164)(77, 165)(78, 166)(79, 167)(80, 168)(81, 169)(82, 170)(83, 171)(84, 172)(85, 173)(86, 174)(87, 175)(88, 176)
	local type(s) :: { ( 8, 22 ), ( 8, 22, 8, 22, 8, 22, 8, 22 ) }
Outer automorphisms :: reflexible
Dual of E10.532
Graph:: simple bipartite
	v = 55 e = 88 f = 15
	degree seq :: [ 2^44, 8^11 ]

E10.534 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 22, 22})
Quotient :: regular
Aut^+ = C22 x C2 (small group id <44, 4>)
Aut   = C2 x C2 x D22 (small group id <88, 11>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T2 * T1 * T2 * T1^-1, T1^22 ]
Map::
	R = (1, 2, 5, 9, 13, 17, 21, 25, 29, 33, 37, 41, 40, 36, 32, 28, 24, 20, 16, 12, 8, 4)(3, 6, 10, 14, 18, 22, 26, 30, 34, 38, 42, 44, 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, 44)
	local type(s) :: { ( 22^22 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: ET+ VT+ AT+ REG+
Graph:: bipartite
	v = 2 e = 22 f = 2
	degree seq :: [ 22^2 ]

E10.535 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 22, 22})
Quotient :: edge
Aut^+ = C22 x C2 (small group id <44, 4>)
Aut   = C2 x C2 x D22 (small group id <88, 11>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, T2 * T1 * T2^-1 * T1, T2^22 ]
Map::
	R = (1, 3, 7, 11, 15, 19, 23, 27, 31, 35, 39, 43, 40, 36, 32, 28, 24, 20, 16, 12, 8, 4)(2, 5, 9, 13, 17, 21, 25, 29, 33, 37, 41, 44, 42, 38, 34, 30, 26, 22, 18, 14, 10, 6)(45, 46)(47, 49)(48, 50)(51, 53)(52, 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, 88)
	L = (1, 45)(2, 46)(3, 47)(4, 48)(5, 49)(6, 50)(7, 51)(8, 52)(9, 53)(10, 54)(11, 55)(12, 56)(13, 57)(14, 58)(15, 59)(16, 60)(17, 61)(18, 62)(19, 63)(20, 64)(21, 65)(22, 66)(23, 67)(24, 68)(25, 69)(26, 70)(27, 71)(28, 72)(29, 73)(30, 74)(31, 75)(32, 76)(33, 77)(34, 78)(35, 79)(36, 80)(37, 81)(38, 82)(39, 83)(40, 84)(41, 85)(42, 86)(43, 87)(44, 88)
	local type(s) :: { ( 44, 44 ), ( 44^22 ) }
Outer automorphisms :: reflexible
Dual of E10.536
Transitivity :: ET+
Graph:: simple bipartite
	v = 24 e = 44 f = 2
	degree seq :: [ 2^22, 22^2 ]

E10.536 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 22, 22})
Quotient :: loop
Aut^+ = C22 x C2 (small group id <44, 4>)
Aut   = C2 x C2 x D22 (small group id <88, 11>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, T2 * T1 * T2^-1 * T1, T2^22 ]
Map::
	R = (1, 45, 3, 47, 7, 51, 11, 55, 15, 59, 19, 63, 23, 67, 27, 71, 31, 75, 35, 79, 39, 83, 43, 87, 40, 84, 36, 80, 32, 76, 28, 72, 24, 68, 20, 64, 16, 60, 12, 56, 8, 52, 4, 48)(2, 46, 5, 49, 9, 53, 13, 57, 17, 61, 21, 65, 25, 69, 29, 73, 33, 77, 37, 81, 41, 85, 44, 88, 42, 86, 38, 82, 34, 78, 30, 74, 26, 70, 22, 66, 18, 62, 14, 58, 10, 54, 6, 50)
	L = (1, 46)(2, 45)(3, 49)(4, 50)(5, 47)(6, 48)(7, 53)(8, 54)(9, 51)(10, 52)(11, 57)(12, 58)(13, 55)(14, 56)(15, 61)(16, 62)(17, 59)(18, 60)(19, 65)(20, 66)(21, 63)(22, 64)(23, 69)(24, 70)(25, 67)(26, 68)(27, 73)(28, 74)(29, 71)(30, 72)(31, 77)(32, 78)(33, 75)(34, 76)(35, 81)(36, 82)(37, 79)(38, 80)(39, 85)(40, 86)(41, 83)(42, 84)(43, 88)(44, 87)
	local type(s) :: { ( 2, 22, 2, 22, 2, 22, 2, 22, 2, 22, 2, 22, 2, 22, 2, 22, 2, 22, 2, 22, 2, 22, 2, 22, 2, 22, 2, 22, 2, 22, 2, 22, 2, 22, 2, 22, 2, 22, 2, 22, 2, 22, 2, 22 ) }
Outer automorphisms :: reflexible
Dual of E10.535
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 2 e = 44 f = 24
	degree seq :: [ 44^2 ]

E10.537 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 22, 22})
Quotient :: dipole
Aut^+ = C22 x C2 (small group id <44, 4>)
Aut   = C2 x C2 x D22 (small group id <88, 11>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, (R * Y3)^2, (R * Y1)^2, Y2^-1 * Y1 * Y2 * Y1, (R * Y2 * Y3^-1)^2, Y2^22, (Y3 * Y2^-1)^22 ]
Map::
	R = (1, 45, 2, 46)(3, 47, 5, 49)(4, 48, 6, 50)(7, 51, 9, 53)(8, 52, 10, 54)(11, 55, 13, 57)(12, 56, 14, 58)(15, 59, 17, 61)(16, 60, 18, 62)(19, 63, 21, 65)(20, 64, 22, 66)(23, 67, 25, 69)(24, 68, 26, 70)(27, 71, 29, 73)(28, 72, 30, 74)(31, 75, 33, 77)(32, 76, 34, 78)(35, 79, 37, 81)(36, 80, 38, 82)(39, 83, 41, 85)(40, 84, 42, 86)(43, 87, 44, 88)(89, 133, 91, 135, 95, 139, 99, 143, 103, 147, 107, 151, 111, 155, 115, 159, 119, 163, 123, 167, 127, 171, 131, 175, 128, 172, 124, 168, 120, 164, 116, 160, 112, 156, 108, 152, 104, 148, 100, 144, 96, 140, 92, 136)(90, 134, 93, 137, 97, 141, 101, 145, 105, 149, 109, 153, 113, 157, 117, 161, 121, 165, 125, 169, 129, 173, 132, 176, 130, 174, 126, 170, 122, 166, 118, 162, 114, 158, 110, 154, 106, 150, 102, 146, 98, 142, 94, 138)
	L = (1, 90)(2, 89)(3, 93)(4, 94)(5, 91)(6, 92)(7, 97)(8, 98)(9, 95)(10, 96)(11, 101)(12, 102)(13, 99)(14, 100)(15, 105)(16, 106)(17, 103)(18, 104)(19, 109)(20, 110)(21, 107)(22, 108)(23, 113)(24, 114)(25, 111)(26, 112)(27, 117)(28, 118)(29, 115)(30, 116)(31, 121)(32, 122)(33, 119)(34, 120)(35, 125)(36, 126)(37, 123)(38, 124)(39, 129)(40, 130)(41, 127)(42, 128)(43, 132)(44, 131)(45, 133)(46, 134)(47, 135)(48, 136)(49, 137)(50, 138)(51, 139)(52, 140)(53, 141)(54, 142)(55, 143)(56, 144)(57, 145)(58, 146)(59, 147)(60, 148)(61, 149)(62, 150)(63, 151)(64, 152)(65, 153)(66, 154)(67, 155)(68, 156)(69, 157)(70, 158)(71, 159)(72, 160)(73, 161)(74, 162)(75, 163)(76, 164)(77, 165)(78, 166)(79, 167)(80, 168)(81, 169)(82, 170)(83, 171)(84, 172)(85, 173)(86, 174)(87, 175)(88, 176)
	local type(s) :: { ( 2, 44, 2, 44 ), ( 2, 44, 2, 44, 2, 44, 2, 44, 2, 44, 2, 44, 2, 44, 2, 44, 2, 44, 2, 44, 2, 44, 2, 44, 2, 44, 2, 44, 2, 44, 2, 44, 2, 44, 2, 44, 2, 44, 2, 44, 2, 44, 2, 44 ) }
Outer automorphisms :: reflexible
Dual of E10.538
Graph:: bipartite
	v = 24 e = 88 f = 46
	degree seq :: [ 4^22, 44^2 ]

E10.538 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 22, 22})
Quotient :: dipole
Aut^+ = C22 x C2 (small group id <44, 4>)
Aut   = C2 x C2 x D22 (small group id <88, 11>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y1)^2, (R * Y3)^2, (Y3 * Y2^-1)^2, (Y3^-1, Y1^-1), (R * Y2 * Y3^-1)^2, Y3^-22, Y1^22 ]
Map::
	R = (1, 45, 2, 46, 5, 49, 9, 53, 13, 57, 17, 61, 21, 65, 25, 69, 29, 73, 33, 77, 37, 81, 41, 85, 40, 84, 36, 80, 32, 76, 28, 72, 24, 68, 20, 64, 16, 60, 12, 56, 8, 52, 4, 48)(3, 47, 6, 50, 10, 54, 14, 58, 18, 62, 22, 66, 26, 70, 30, 74, 34, 78, 38, 82, 42, 86, 44, 88, 43, 87, 39, 83, 35, 79, 31, 75, 27, 71, 23, 67, 19, 63, 15, 59, 11, 55, 7, 51)(89, 133)(90, 134)(91, 135)(92, 136)(93, 137)(94, 138)(95, 139)(96, 140)(97, 141)(98, 142)(99, 143)(100, 144)(101, 145)(102, 146)(103, 147)(104, 148)(105, 149)(106, 150)(107, 151)(108, 152)(109, 153)(110, 154)(111, 155)(112, 156)(113, 157)(114, 158)(115, 159)(116, 160)(117, 161)(118, 162)(119, 163)(120, 164)(121, 165)(122, 166)(123, 167)(124, 168)(125, 169)(126, 170)(127, 171)(128, 172)(129, 173)(130, 174)(131, 175)(132, 176)
	L = (1, 91)(2, 94)(3, 89)(4, 95)(5, 98)(6, 90)(7, 92)(8, 99)(9, 102)(10, 93)(11, 96)(12, 103)(13, 106)(14, 97)(15, 100)(16, 107)(17, 110)(18, 101)(19, 104)(20, 111)(21, 114)(22, 105)(23, 108)(24, 115)(25, 118)(26, 109)(27, 112)(28, 119)(29, 122)(30, 113)(31, 116)(32, 123)(33, 126)(34, 117)(35, 120)(36, 127)(37, 130)(38, 121)(39, 124)(40, 131)(41, 132)(42, 125)(43, 128)(44, 129)(45, 133)(46, 134)(47, 135)(48, 136)(49, 137)(50, 138)(51, 139)(52, 140)(53, 141)(54, 142)(55, 143)(56, 144)(57, 145)(58, 146)(59, 147)(60, 148)(61, 149)(62, 150)(63, 151)(64, 152)(65, 153)(66, 154)(67, 155)(68, 156)(69, 157)(70, 158)(71, 159)(72, 160)(73, 161)(74, 162)(75, 163)(76, 164)(77, 165)(78, 166)(79, 167)(80, 168)(81, 169)(82, 170)(83, 171)(84, 172)(85, 173)(86, 174)(87, 175)(88, 176)
	local type(s) :: { ( 4, 44 ), ( 4, 44, 4, 44, 4, 44, 4, 44, 4, 44, 4, 44, 4, 44, 4, 44, 4, 44, 4, 44, 4, 44, 4, 44, 4, 44, 4, 44, 4, 44, 4, 44, 4, 44, 4, 44, 4, 44, 4, 44, 4, 44, 4, 44 ) }
Outer automorphisms :: reflexible
Dual of E10.537
Graph:: simple bipartite
	v = 46 e = 88 f = 24
	degree seq :: [ 2^44, 44^2 ]

E10.539 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 2, 8})
Quotient :: halfedge^2
Aut^+ = GL(2,3) (small group id <48, 29>)
Aut   = (SL(2,3) : C2) : C2 (small group id <96, 193>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, Y3^2, R^2, R * Y3 * R * Y2, (R * Y1)^2, (Y1 * Y3)^3, (Y2 * Y1)^3, (Y3 * Y2)^4, Y3 * Y2 * Y1 * Y2 * Y3 * Y2 * Y3 * Y1 * Y3 * Y2 ]
Map:: polytopal non-degenerate
	R = (1, 50, 2, 49)(3, 55, 7, 51)(4, 57, 9, 52)(5, 59, 11, 53)(6, 61, 13, 54)(8, 64, 16, 56)(10, 67, 19, 58)(12, 70, 22, 60)(14, 73, 25, 62)(15, 75, 27, 63)(17, 78, 30, 65)(18, 80, 32, 66)(20, 83, 35, 68)(21, 84, 36, 69)(23, 87, 39, 71)(24, 89, 41, 72)(26, 92, 44, 74)(28, 91, 43, 76)(29, 90, 42, 77)(31, 88, 40, 79)(33, 86, 38, 81)(34, 85, 37, 82)(45, 96, 48, 93)(46, 95, 47, 94)
	L = (1, 3)(2, 5)(4, 10)(6, 14)(7, 11)(8, 17)(9, 18)(12, 23)(13, 24)(15, 28)(16, 29)(19, 32)(20, 31)(21, 37)(22, 38)(25, 41)(26, 40)(27, 45)(30, 42)(33, 39)(34, 46)(35, 44)(36, 47)(43, 48)(49, 52)(50, 54)(51, 56)(53, 60)(55, 63)(57, 61)(58, 68)(59, 69)(62, 74)(64, 75)(65, 79)(66, 81)(67, 82)(70, 84)(71, 88)(72, 90)(73, 91)(76, 92)(77, 94)(78, 87)(80, 93)(83, 85)(86, 96)(89, 95)
	local type(s) :: { ( 16^4 ) }
Outer automorphisms :: reflexible
Dual of E10.542
Transitivity :: VT+ AT
Graph:: simple
	v = 24 e = 48 f = 6
	degree seq :: [ 4^24 ]

E10.540 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 2, 8})
Quotient :: halfedge^2
Aut^+ = GL(2,3) (small group id <48, 29>)
Aut   = (SL(2,3) : C2) : C2 (small group id <96, 193>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, Y3^2, R^2, R * Y3 * R * Y2, (R * Y1)^2, (Y3 * Y2)^4, Y3 * Y1 * Y2 * Y1 * Y2 * Y1 * Y3 * Y2, Y3 * Y2 * Y1 * Y3 * Y1 * Y3 * Y1 * Y2, Y1 * Y3 * Y2 * Y3 * Y2 * Y1 * Y2 * Y3 * Y2 * Y3 ]
Map:: polytopal non-degenerate
	R = (1, 50, 2, 49)(3, 55, 7, 51)(4, 57, 9, 52)(5, 59, 11, 53)(6, 61, 13, 54)(8, 65, 17, 56)(10, 69, 21, 58)(12, 73, 25, 60)(14, 77, 29, 62)(15, 78, 30, 63)(16, 80, 32, 64)(18, 76, 28, 66)(19, 81, 33, 67)(20, 74, 26, 68)(22, 71, 23, 70)(24, 87, 39, 72)(27, 88, 40, 75)(31, 89, 41, 79)(34, 86, 38, 82)(35, 90, 42, 83)(36, 92, 44, 84)(37, 91, 43, 85)(45, 96, 48, 93)(46, 95, 47, 94)
	L = (1, 3)(2, 5)(4, 10)(6, 14)(7, 15)(8, 18)(9, 19)(11, 23)(12, 26)(13, 27)(16, 24)(17, 33)(20, 36)(21, 37)(22, 35)(25, 40)(28, 43)(29, 44)(30, 42)(31, 38)(32, 45)(34, 46)(39, 47)(41, 48)(49, 52)(50, 54)(51, 56)(53, 60)(55, 64)(57, 68)(58, 70)(59, 72)(61, 76)(62, 78)(63, 79)(65, 82)(66, 83)(67, 75)(69, 80)(71, 86)(73, 89)(74, 90)(77, 87)(81, 93)(84, 91)(85, 94)(88, 95)(92, 96)
	local type(s) :: { ( 16^4 ) }
Outer automorphisms :: reflexible
Dual of E10.541
Transitivity :: VT+ AT
Graph:: simple
	v = 24 e = 48 f = 6
	degree seq :: [ 4^24 ]

E10.541 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 2, 8})
Quotient :: halfedge^2
Aut^+ = GL(2,3) (small group id <48, 29>)
Aut   = (SL(2,3) : C2) : C2 (small group id <96, 193>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, R * Y3 * R * Y2, (R * Y1)^2, Y3 * Y1^-1 * Y2 * Y1 * Y2 * Y1^-1, Y1 * Y2 * Y1 * Y3 * Y1^-1 * Y3, Y1^-1 * Y2 * Y1^2 * Y3 * Y1^-1, Y2 * Y3 * Y2 * Y3 * Y1^4, Y1^8 ]
Map:: polytopal non-degenerate
	R = (1, 50, 2, 54, 6, 66, 18, 84, 36, 83, 35, 65, 17, 53, 5, 49)(3, 57, 9, 68, 20, 89, 41, 80, 32, 94, 46, 78, 30, 59, 11, 51)(4, 60, 12, 67, 19, 87, 39, 76, 28, 93, 45, 82, 34, 62, 14, 52)(7, 69, 21, 86, 38, 96, 48, 92, 44, 77, 29, 64, 16, 71, 23, 55)(8, 72, 24, 85, 37, 95, 47, 91, 43, 81, 33, 63, 15, 74, 26, 56)(10, 75, 27, 90, 42, 70, 22, 61, 13, 79, 31, 88, 40, 73, 25, 58)
	L = (1, 3)(2, 7)(4, 13)(5, 15)(6, 19)(8, 25)(9, 24)(10, 28)(11, 29)(12, 26)(14, 23)(16, 27)(17, 34)(18, 37)(20, 42)(21, 41)(22, 43)(30, 40)(31, 38)(32, 36)(33, 46)(35, 44)(39, 48)(45, 47)(49, 52)(50, 56)(51, 58)(53, 64)(54, 68)(55, 70)(57, 71)(59, 74)(60, 69)(61, 80)(62, 81)(63, 79)(65, 78)(66, 86)(67, 88)(72, 87)(73, 92)(75, 85)(76, 84)(77, 93)(82, 90)(83, 91)(89, 95)(94, 96)
	local type(s) :: { ( 4^16 ) }
Outer automorphisms :: reflexible
Dual of E10.540
Transitivity :: VT+ AT
Graph::
	v = 6 e = 48 f = 24
	degree seq :: [ 16^6 ]

E10.542 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 2, 8})
Quotient :: halfedge^2
Aut^+ = GL(2,3) (small group id <48, 29>)
Aut   = (SL(2,3) : C2) : C2 (small group id <96, 193>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, R * Y3 * R * Y2, (R * Y1)^2, (Y2 * Y1^-1)^3, Y2 * Y1^2 * Y3 * Y1^-2, (Y1^-1 * Y2 * Y3)^2, (Y3 * Y2 * Y1^-1)^2, Y3 * Y1^2 * Y2 * Y1^-2, (Y3 * Y1^-1)^3, Y1^8 ]
Map:: polytopal non-degenerate
	R = (1, 50, 2, 54, 6, 66, 18, 86, 38, 85, 37, 65, 17, 53, 5, 49)(3, 57, 9, 68, 20, 91, 43, 83, 35, 95, 47, 80, 32, 59, 11, 51)(4, 60, 12, 67, 19, 89, 41, 78, 30, 93, 45, 84, 36, 62, 14, 52)(7, 69, 21, 88, 40, 76, 28, 96, 48, 81, 33, 64, 16, 71, 23, 55)(8, 72, 24, 87, 39, 79, 31, 94, 46, 75, 27, 63, 15, 74, 26, 56)(10, 77, 29, 92, 44, 70, 22, 61, 13, 82, 34, 90, 42, 73, 25, 58)
	L = (1, 3)(2, 7)(4, 13)(5, 15)(6, 19)(8, 25)(9, 27)(10, 30)(11, 21)(12, 31)(14, 28)(16, 29)(17, 36)(18, 39)(20, 44)(22, 46)(23, 41)(24, 47)(26, 45)(32, 42)(33, 43)(34, 40)(35, 38)(37, 48)(49, 52)(50, 56)(51, 58)(53, 64)(54, 68)(55, 70)(57, 76)(59, 79)(60, 81)(61, 83)(62, 72)(63, 82)(65, 80)(66, 88)(67, 90)(69, 93)(71, 95)(73, 96)(74, 91)(75, 89)(77, 87)(78, 86)(84, 92)(85, 94)
	local type(s) :: { ( 4^16 ) }
Outer automorphisms :: reflexible
Dual of E10.539
Transitivity :: VT+ AT
Graph::
	v = 6 e = 48 f = 24
	degree seq :: [ 16^6 ]

E10.543 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 2, 8})
Quotient :: edge^2
Aut^+ = GL(2,3) (small group id <48, 29>)
Aut   = (SL(2,3) : C2) : C2 (small group id <96, 193>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, Y3^2, R^2, (R * Y3)^2, R * Y1 * R * Y2, (Y3 * Y2)^3, (Y1 * Y3)^3, (Y2 * Y1)^4, (Y2 * Y1 * Y3 * Y2 * Y1)^2 ]
Map:: polytopal
	R = (1, 49, 4, 52)(2, 50, 6, 54)(3, 51, 8, 56)(5, 53, 12, 60)(7, 55, 16, 64)(9, 57, 13, 61)(10, 58, 18, 66)(11, 59, 22, 70)(14, 62, 24, 72)(15, 63, 27, 75)(17, 65, 28, 76)(19, 67, 33, 81)(20, 68, 35, 83)(21, 69, 36, 84)(23, 71, 37, 85)(25, 73, 42, 90)(26, 74, 44, 92)(29, 77, 41, 89)(30, 78, 45, 93)(31, 79, 46, 94)(32, 80, 38, 86)(34, 82, 43, 91)(39, 87, 47, 95)(40, 88, 48, 96)(97, 98)(99, 103)(100, 105)(101, 107)(102, 109)(104, 113)(106, 116)(108, 119)(110, 122)(111, 117)(112, 124)(114, 127)(115, 128)(118, 133)(120, 136)(121, 137)(123, 139)(125, 135)(126, 134)(129, 141)(130, 132)(131, 142)(138, 143)(140, 144)(145, 147)(146, 149)(148, 154)(150, 158)(151, 159)(152, 162)(153, 163)(155, 165)(156, 168)(157, 169)(160, 173)(161, 174)(164, 178)(166, 182)(167, 183)(170, 187)(171, 185)(172, 184)(175, 181)(176, 180)(177, 186)(179, 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) :: { ( 32, 32 ), ( 32^4 ) }
Outer automorphisms :: reflexible
Dual of E10.550
Graph:: simple bipartite
	v = 72 e = 96 f = 6
	degree seq :: [ 2^48, 4^24 ]

E10.544 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 2, 8})
Quotient :: edge^2
Aut^+ = GL(2,3) (small group id <48, 29>)
Aut   = (SL(2,3) : C2) : C2 (small group id <96, 193>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, Y3^2, R^2, (R * Y3)^2, R * Y1 * R * Y2, Y3 * Y2 * Y3 * Y1 * Y2 * Y1 * Y3 * Y2, Y3 * Y1 * Y3 * Y1 * Y3 * Y2 * Y1 * Y2, (Y2 * Y1)^4 ]
Map:: polytopal
	R = (1, 49, 4, 52)(2, 50, 6, 54)(3, 51, 8, 56)(5, 53, 12, 60)(7, 55, 16, 64)(9, 57, 20, 68)(10, 58, 22, 70)(11, 59, 24, 72)(13, 61, 28, 76)(14, 62, 30, 78)(15, 63, 31, 79)(17, 65, 25, 73)(18, 66, 35, 83)(19, 67, 36, 84)(21, 69, 37, 85)(23, 71, 38, 86)(26, 74, 42, 90)(27, 75, 43, 91)(29, 77, 44, 92)(32, 80, 39, 87)(33, 81, 45, 93)(34, 82, 46, 94)(40, 88, 47, 95)(41, 89, 48, 96)(97, 98)(99, 103)(100, 105)(101, 107)(102, 109)(104, 113)(106, 117)(108, 121)(110, 125)(111, 119)(112, 128)(114, 130)(115, 131)(116, 127)(118, 129)(120, 135)(122, 137)(123, 138)(124, 134)(126, 136)(132, 141)(133, 142)(139, 143)(140, 144)(145, 147)(146, 149)(148, 154)(150, 158)(151, 159)(152, 162)(153, 163)(155, 167)(156, 170)(157, 171)(160, 174)(161, 177)(164, 173)(165, 172)(166, 168)(169, 184)(175, 186)(176, 185)(178, 183)(179, 182)(180, 187)(181, 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) :: { ( 32, 32 ), ( 32^4 ) }
Outer automorphisms :: reflexible
Dual of E10.549
Graph:: simple bipartite
	v = 72 e = 96 f = 6
	degree seq :: [ 2^48, 4^24 ]

E10.545 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 2, 8})
Quotient :: edge^2
Aut^+ = GL(2,3) (small group id <48, 29>)
Aut   = (SL(2,3) : C2) : C2 (small group id <96, 193>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, R * Y2 * R * Y1, (R * Y3)^2, Y3^-1 * Y1 * Y3^-1 * Y2 * Y3 * Y2, Y1 * Y3 * Y1 * Y3^-1 * Y2 * Y3^-1, (Y2 * Y3 * Y1)^2, Y2 * Y3^-1 * Y2 * Y1 * Y3^3 * Y1, Y3^8, (Y2 * Y1)^4 ]
Map:: polytopal
	R = (1, 49, 4, 52, 14, 62, 34, 82, 36, 84, 35, 83, 17, 65, 5, 53)(2, 50, 7, 55, 23, 71, 43, 91, 27, 75, 44, 92, 26, 74, 8, 56)(3, 51, 10, 58, 31, 79, 38, 86, 18, 66, 37, 85, 33, 81, 11, 59)(6, 54, 19, 67, 40, 88, 29, 77, 9, 57, 28, 76, 42, 90, 20, 68)(12, 60, 30, 78, 45, 93, 48, 96, 41, 89, 24, 72, 16, 64, 22, 70)(13, 61, 21, 69, 39, 87, 47, 95, 46, 94, 32, 80, 15, 63, 25, 73)(97, 98)(99, 105)(100, 108)(101, 111)(102, 114)(103, 117)(104, 120)(106, 121)(107, 118)(109, 116)(110, 127)(112, 115)(113, 129)(119, 136)(122, 138)(123, 132)(124, 141)(125, 142)(126, 139)(128, 140)(130, 135)(131, 137)(133, 143)(134, 144)(145, 147)(146, 150)(148, 157)(149, 160)(151, 166)(152, 169)(153, 171)(154, 174)(155, 176)(156, 173)(158, 167)(159, 172)(161, 170)(162, 180)(163, 183)(164, 185)(165, 182)(168, 181)(175, 186)(177, 184)(178, 189)(179, 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) :: { ( 8, 8 ), ( 8^16 ) }
Outer automorphisms :: reflexible
Dual of E10.548
Graph:: simple bipartite
	v = 54 e = 96 f = 24
	degree seq :: [ 2^48, 16^6 ]

E10.546 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 2, 8})
Quotient :: edge^2
Aut^+ = GL(2,3) (small group id <48, 29>)
Aut   = (SL(2,3) : C2) : C2 (small group id <96, 193>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, R * Y2 * R * Y1, (R * Y3)^2, (Y3 * Y2)^3, Y3^2 * Y1 * Y3^-2 * Y2, (Y1 * Y3^-1 * Y2)^2, Y3^-1 * Y1 * Y3^2 * Y2 * Y3^-1, (Y3 * Y1)^3, (Y3^-1 * Y1 * Y2)^2, Y3^8, (Y2 * Y1)^4 ]
Map:: polytopal
	R = (1, 49, 4, 52, 14, 62, 36, 84, 38, 86, 37, 85, 17, 65, 5, 53)(2, 50, 7, 55, 23, 71, 47, 95, 27, 75, 48, 96, 26, 74, 8, 56)(3, 51, 10, 58, 31, 79, 40, 88, 18, 66, 39, 87, 33, 81, 11, 59)(6, 54, 19, 67, 42, 90, 29, 77, 9, 57, 28, 76, 44, 92, 20, 68)(12, 60, 24, 72, 46, 94, 22, 70, 43, 91, 30, 78, 16, 64, 34, 82)(13, 61, 32, 80, 41, 89, 25, 73, 45, 93, 21, 69, 15, 63, 35, 83)(97, 98)(99, 105)(100, 108)(101, 111)(102, 114)(103, 117)(104, 120)(106, 121)(107, 118)(109, 116)(110, 127)(112, 115)(113, 129)(119, 138)(122, 140)(123, 134)(124, 142)(125, 141)(126, 143)(128, 144)(130, 136)(131, 135)(132, 137)(133, 139)(145, 147)(146, 150)(148, 157)(149, 160)(151, 166)(152, 169)(153, 171)(154, 174)(155, 176)(156, 173)(158, 167)(159, 172)(161, 170)(162, 182)(163, 185)(164, 187)(165, 184)(168, 183)(175, 188)(177, 186)(178, 192)(179, 191)(180, 190)(181, 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, 8 ), ( 8^16 ) }
Outer automorphisms :: reflexible
Dual of E10.547
Graph:: simple bipartite
	v = 54 e = 96 f = 24
	degree seq :: [ 2^48, 16^6 ]

E10.547 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 2, 8})
Quotient :: loop^2
Aut^+ = GL(2,3) (small group id <48, 29>)
Aut   = (SL(2,3) : C2) : C2 (small group id <96, 193>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, Y3^2, R^2, (R * Y3)^2, R * Y1 * R * Y2, (Y3 * Y2)^3, (Y1 * Y3)^3, (Y2 * Y1)^4, (Y2 * Y1 * Y3 * Y2 * Y1)^2 ]
Map::
	R = (1, 49, 97, 145, 4, 52, 100, 148)(2, 50, 98, 146, 6, 54, 102, 150)(3, 51, 99, 147, 8, 56, 104, 152)(5, 53, 101, 149, 12, 60, 108, 156)(7, 55, 103, 151, 16, 64, 112, 160)(9, 57, 105, 153, 13, 61, 109, 157)(10, 58, 106, 154, 18, 66, 114, 162)(11, 59, 107, 155, 22, 70, 118, 166)(14, 62, 110, 158, 24, 72, 120, 168)(15, 63, 111, 159, 27, 75, 123, 171)(17, 65, 113, 161, 28, 76, 124, 172)(19, 67, 115, 163, 33, 81, 129, 177)(20, 68, 116, 164, 35, 83, 131, 179)(21, 69, 117, 165, 36, 84, 132, 180)(23, 71, 119, 167, 37, 85, 133, 181)(25, 73, 121, 169, 42, 90, 138, 186)(26, 74, 122, 170, 44, 92, 140, 188)(29, 77, 125, 173, 41, 89, 137, 185)(30, 78, 126, 174, 45, 93, 141, 189)(31, 79, 127, 175, 46, 94, 142, 190)(32, 80, 128, 176, 38, 86, 134, 182)(34, 82, 130, 178, 43, 91, 139, 187)(39, 87, 135, 183, 47, 95, 143, 191)(40, 88, 136, 184, 48, 96, 144, 192)
	L = (1, 50)(2, 49)(3, 55)(4, 57)(5, 59)(6, 61)(7, 51)(8, 65)(9, 52)(10, 68)(11, 53)(12, 71)(13, 54)(14, 74)(15, 69)(16, 76)(17, 56)(18, 79)(19, 80)(20, 58)(21, 63)(22, 85)(23, 60)(24, 88)(25, 89)(26, 62)(27, 91)(28, 64)(29, 87)(30, 86)(31, 66)(32, 67)(33, 93)(34, 84)(35, 94)(36, 82)(37, 70)(38, 78)(39, 77)(40, 72)(41, 73)(42, 95)(43, 75)(44, 96)(45, 81)(46, 83)(47, 90)(48, 92)(97, 147)(98, 149)(99, 145)(100, 154)(101, 146)(102, 158)(103, 159)(104, 162)(105, 163)(106, 148)(107, 165)(108, 168)(109, 169)(110, 150)(111, 151)(112, 173)(113, 174)(114, 152)(115, 153)(116, 178)(117, 155)(118, 182)(119, 183)(120, 156)(121, 157)(122, 187)(123, 185)(124, 184)(125, 160)(126, 161)(127, 181)(128, 180)(129, 186)(130, 164)(131, 188)(132, 176)(133, 175)(134, 166)(135, 167)(136, 172)(137, 171)(138, 177)(139, 170)(140, 179)(141, 192)(142, 191)(143, 190)(144, 189)
	local type(s) :: { ( 2, 16, 2, 16, 2, 16, 2, 16 ) }
Outer automorphisms :: reflexible
Dual of E10.546
Transitivity :: VT+
Graph::
	v = 24 e = 96 f = 54
	degree seq :: [ 8^24 ]

E10.548 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 2, 8})
Quotient :: loop^2
Aut^+ = GL(2,3) (small group id <48, 29>)
Aut   = (SL(2,3) : C2) : C2 (small group id <96, 193>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, Y3^2, R^2, (R * Y3)^2, R * Y1 * R * Y2, Y3 * Y2 * Y3 * Y1 * Y2 * Y1 * Y3 * Y2, Y3 * Y1 * Y3 * Y1 * Y3 * Y2 * Y1 * Y2, (Y2 * Y1)^4 ]
Map::
	R = (1, 49, 97, 145, 4, 52, 100, 148)(2, 50, 98, 146, 6, 54, 102, 150)(3, 51, 99, 147, 8, 56, 104, 152)(5, 53, 101, 149, 12, 60, 108, 156)(7, 55, 103, 151, 16, 64, 112, 160)(9, 57, 105, 153, 20, 68, 116, 164)(10, 58, 106, 154, 22, 70, 118, 166)(11, 59, 107, 155, 24, 72, 120, 168)(13, 61, 109, 157, 28, 76, 124, 172)(14, 62, 110, 158, 30, 78, 126, 174)(15, 63, 111, 159, 31, 79, 127, 175)(17, 65, 113, 161, 25, 73, 121, 169)(18, 66, 114, 162, 35, 83, 131, 179)(19, 67, 115, 163, 36, 84, 132, 180)(21, 69, 117, 165, 37, 85, 133, 181)(23, 71, 119, 167, 38, 86, 134, 182)(26, 74, 122, 170, 42, 90, 138, 186)(27, 75, 123, 171, 43, 91, 139, 187)(29, 77, 125, 173, 44, 92, 140, 188)(32, 80, 128, 176, 39, 87, 135, 183)(33, 81, 129, 177, 45, 93, 141, 189)(34, 82, 130, 178, 46, 94, 142, 190)(40, 88, 136, 184, 47, 95, 143, 191)(41, 89, 137, 185, 48, 96, 144, 192)
	L = (1, 50)(2, 49)(3, 55)(4, 57)(5, 59)(6, 61)(7, 51)(8, 65)(9, 52)(10, 69)(11, 53)(12, 73)(13, 54)(14, 77)(15, 71)(16, 80)(17, 56)(18, 82)(19, 83)(20, 79)(21, 58)(22, 81)(23, 63)(24, 87)(25, 60)(26, 89)(27, 90)(28, 86)(29, 62)(30, 88)(31, 68)(32, 64)(33, 70)(34, 66)(35, 67)(36, 93)(37, 94)(38, 76)(39, 72)(40, 78)(41, 74)(42, 75)(43, 95)(44, 96)(45, 84)(46, 85)(47, 91)(48, 92)(97, 147)(98, 149)(99, 145)(100, 154)(101, 146)(102, 158)(103, 159)(104, 162)(105, 163)(106, 148)(107, 167)(108, 170)(109, 171)(110, 150)(111, 151)(112, 174)(113, 177)(114, 152)(115, 153)(116, 173)(117, 172)(118, 168)(119, 155)(120, 166)(121, 184)(122, 156)(123, 157)(124, 165)(125, 164)(126, 160)(127, 186)(128, 185)(129, 161)(130, 183)(131, 182)(132, 187)(133, 188)(134, 179)(135, 178)(136, 169)(137, 176)(138, 175)(139, 180)(140, 181)(141, 192)(142, 191)(143, 190)(144, 189)
	local type(s) :: { ( 2, 16, 2, 16, 2, 16, 2, 16 ) }
Outer automorphisms :: reflexible
Dual of E10.545
Transitivity :: VT+
Graph::
	v = 24 e = 96 f = 54
	degree seq :: [ 8^24 ]

E10.549 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 2, 8})
Quotient :: loop^2
Aut^+ = GL(2,3) (small group id <48, 29>)
Aut   = (SL(2,3) : C2) : C2 (small group id <96, 193>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, R * Y2 * R * Y1, (R * Y3)^2, Y3^-1 * Y1 * Y3^-1 * Y2 * Y3 * Y2, Y1 * Y3 * Y1 * Y3^-1 * Y2 * Y3^-1, (Y2 * Y3 * Y1)^2, Y2 * Y3^-1 * Y2 * Y1 * Y3^3 * Y1, Y3^8, (Y2 * Y1)^4 ]
Map::
	R = (1, 49, 97, 145, 4, 52, 100, 148, 14, 62, 110, 158, 34, 82, 130, 178, 36, 84, 132, 180, 35, 83, 131, 179, 17, 65, 113, 161, 5, 53, 101, 149)(2, 50, 98, 146, 7, 55, 103, 151, 23, 71, 119, 167, 43, 91, 139, 187, 27, 75, 123, 171, 44, 92, 140, 188, 26, 74, 122, 170, 8, 56, 104, 152)(3, 51, 99, 147, 10, 58, 106, 154, 31, 79, 127, 175, 38, 86, 134, 182, 18, 66, 114, 162, 37, 85, 133, 181, 33, 81, 129, 177, 11, 59, 107, 155)(6, 54, 102, 150, 19, 67, 115, 163, 40, 88, 136, 184, 29, 77, 125, 173, 9, 57, 105, 153, 28, 76, 124, 172, 42, 90, 138, 186, 20, 68, 116, 164)(12, 60, 108, 156, 30, 78, 126, 174, 45, 93, 141, 189, 48, 96, 144, 192, 41, 89, 137, 185, 24, 72, 120, 168, 16, 64, 112, 160, 22, 70, 118, 166)(13, 61, 109, 157, 21, 69, 117, 165, 39, 87, 135, 183, 47, 95, 143, 191, 46, 94, 142, 190, 32, 80, 128, 176, 15, 63, 111, 159, 25, 73, 121, 169)
	L = (1, 50)(2, 49)(3, 57)(4, 60)(5, 63)(6, 66)(7, 69)(8, 72)(9, 51)(10, 73)(11, 70)(12, 52)(13, 68)(14, 79)(15, 53)(16, 67)(17, 81)(18, 54)(19, 64)(20, 61)(21, 55)(22, 59)(23, 88)(24, 56)(25, 58)(26, 90)(27, 84)(28, 93)(29, 94)(30, 91)(31, 62)(32, 92)(33, 65)(34, 87)(35, 89)(36, 75)(37, 95)(38, 96)(39, 82)(40, 71)(41, 83)(42, 74)(43, 78)(44, 80)(45, 76)(46, 77)(47, 85)(48, 86)(97, 147)(98, 150)(99, 145)(100, 157)(101, 160)(102, 146)(103, 166)(104, 169)(105, 171)(106, 174)(107, 176)(108, 173)(109, 148)(110, 167)(111, 172)(112, 149)(113, 170)(114, 180)(115, 183)(116, 185)(117, 182)(118, 151)(119, 158)(120, 181)(121, 152)(122, 161)(123, 153)(124, 159)(125, 156)(126, 154)(127, 186)(128, 155)(129, 184)(130, 189)(131, 190)(132, 162)(133, 168)(134, 165)(135, 163)(136, 177)(137, 164)(138, 175)(139, 191)(140, 192)(141, 178)(142, 179)(143, 187)(144, 188)
	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 E10.544
Transitivity :: VT+
Graph::
	v = 6 e = 96 f = 72
	degree seq :: [ 32^6 ]

E10.550 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 2, 8})
Quotient :: loop^2
Aut^+ = GL(2,3) (small group id <48, 29>)
Aut   = (SL(2,3) : C2) : C2 (small group id <96, 193>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, R * Y2 * R * Y1, (R * Y3)^2, (Y3 * Y2)^3, Y3^2 * Y1 * Y3^-2 * Y2, (Y1 * Y3^-1 * Y2)^2, Y3^-1 * Y1 * Y3^2 * Y2 * Y3^-1, (Y3 * Y1)^3, (Y3^-1 * Y1 * Y2)^2, Y3^8, (Y2 * Y1)^4 ]
Map::
	R = (1, 49, 97, 145, 4, 52, 100, 148, 14, 62, 110, 158, 36, 84, 132, 180, 38, 86, 134, 182, 37, 85, 133, 181, 17, 65, 113, 161, 5, 53, 101, 149)(2, 50, 98, 146, 7, 55, 103, 151, 23, 71, 119, 167, 47, 95, 143, 191, 27, 75, 123, 171, 48, 96, 144, 192, 26, 74, 122, 170, 8, 56, 104, 152)(3, 51, 99, 147, 10, 58, 106, 154, 31, 79, 127, 175, 40, 88, 136, 184, 18, 66, 114, 162, 39, 87, 135, 183, 33, 81, 129, 177, 11, 59, 107, 155)(6, 54, 102, 150, 19, 67, 115, 163, 42, 90, 138, 186, 29, 77, 125, 173, 9, 57, 105, 153, 28, 76, 124, 172, 44, 92, 140, 188, 20, 68, 116, 164)(12, 60, 108, 156, 24, 72, 120, 168, 46, 94, 142, 190, 22, 70, 118, 166, 43, 91, 139, 187, 30, 78, 126, 174, 16, 64, 112, 160, 34, 82, 130, 178)(13, 61, 109, 157, 32, 80, 128, 176, 41, 89, 137, 185, 25, 73, 121, 169, 45, 93, 141, 189, 21, 69, 117, 165, 15, 63, 111, 159, 35, 83, 131, 179)
	L = (1, 50)(2, 49)(3, 57)(4, 60)(5, 63)(6, 66)(7, 69)(8, 72)(9, 51)(10, 73)(11, 70)(12, 52)(13, 68)(14, 79)(15, 53)(16, 67)(17, 81)(18, 54)(19, 64)(20, 61)(21, 55)(22, 59)(23, 90)(24, 56)(25, 58)(26, 92)(27, 86)(28, 94)(29, 93)(30, 95)(31, 62)(32, 96)(33, 65)(34, 88)(35, 87)(36, 89)(37, 91)(38, 75)(39, 83)(40, 82)(41, 84)(42, 71)(43, 85)(44, 74)(45, 77)(46, 76)(47, 78)(48, 80)(97, 147)(98, 150)(99, 145)(100, 157)(101, 160)(102, 146)(103, 166)(104, 169)(105, 171)(106, 174)(107, 176)(108, 173)(109, 148)(110, 167)(111, 172)(112, 149)(113, 170)(114, 182)(115, 185)(116, 187)(117, 184)(118, 151)(119, 158)(120, 183)(121, 152)(122, 161)(123, 153)(124, 159)(125, 156)(126, 154)(127, 188)(128, 155)(129, 186)(130, 192)(131, 191)(132, 190)(133, 189)(134, 162)(135, 168)(136, 165)(137, 163)(138, 177)(139, 164)(140, 175)(141, 181)(142, 180)(143, 179)(144, 178)
	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 E10.543
Transitivity :: VT+
Graph::
	v = 6 e = 96 f = 72
	degree seq :: [ 32^6 ]

E10.551 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 12, 24})
Quotient :: regular
Aut^+ = C3 x QD16 (small group id <48, 26>)
Aut   = (D8 x S3) : C2 (small group id <96, 121>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T1^-4 * T2 * T1^-1 * T2 * T1^-1, (T2 * T1^2 * T2 * T1^-2)^2 ]
Map:: non-degenerate
	R = (1, 2, 5, 11, 23, 17, 29, 39, 46, 43, 34, 42, 48, 44, 32, 41, 47, 45, 33, 16, 28, 22, 10, 4)(3, 7, 15, 31, 20, 9, 19, 35, 37, 24, 21, 36, 40, 26, 12, 25, 38, 30, 14, 6, 13, 27, 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, 34)(19, 33)(20, 23)(22, 25)(26, 39)(27, 41)(30, 42)(31, 43)(35, 44)(36, 45)(37, 46)(38, 47)(40, 48)
	local type(s) :: { ( 12^24 ) }
Outer automorphisms :: reflexible
Dual of E10.552
Transitivity :: ET+ VT+ AT+ REG+
Graph:: bipartite
	v = 2 e = 24 f = 4
	degree seq :: [ 24^2 ]

E10.552 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 12, 24})
Quotient :: regular
Aut^+ = C3 x QD16 (small group id <48, 26>)
Aut   = (D8 x S3) : C2 (small group id <96, 121>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T1^-1 * T2 * T1^2 * T2 * T1^-1, T1^-2 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1, T1^12 ]
Map:: non-degenerate
	R = (1, 2, 5, 11, 20, 32, 43, 42, 31, 19, 10, 4)(3, 7, 12, 22, 33, 45, 48, 46, 41, 28, 17, 8)(6, 13, 21, 34, 44, 40, 47, 39, 30, 18, 9, 14)(15, 25, 35, 29, 38, 24, 37, 23, 36, 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, 34)(28, 36)(31, 41)(32, 44)(37, 46)(38, 45)(42, 47)(43, 48)
	local type(s) :: { ( 24^12 ) }
Outer automorphisms :: reflexible
Dual of E10.551
Transitivity :: ET+ VT+ AT+ REG+
Graph:: bipartite
	v = 4 e = 24 f = 2
	degree seq :: [ 12^4 ]

E10.553 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 12, 24})
Quotient :: edge
Aut^+ = C3 x QD16 (small group id <48, 26>)
Aut   = (D8 x S3) : C2 (small group id <96, 121>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, T2^2 * T1 * T2^-2 * T1, T1 * T2^-3 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1, T2^12 ]
Map::
	R = (1, 3, 8, 17, 28, 41, 47, 42, 31, 19, 10, 4)(2, 5, 12, 22, 35, 45, 48, 46, 38, 24, 14, 6)(7, 15, 26, 36, 44, 34, 43, 32, 30, 18, 9, 16)(11, 20, 33, 29, 40, 27, 39, 25, 37, 23, 13, 21)(49, 50)(51, 55)(52, 57)(53, 59)(54, 61)(56, 60)(58, 62)(63, 73)(64, 75)(65, 74)(66, 77)(67, 78)(68, 80)(69, 82)(70, 81)(71, 84)(72, 85)(76, 83)(79, 86)(87, 94)(88, 93)(89, 92)(90, 91)(95, 96)
	L = (1, 49)(2, 50)(3, 51)(4, 52)(5, 53)(6, 54)(7, 55)(8, 56)(9, 57)(10, 58)(11, 59)(12, 60)(13, 61)(14, 62)(15, 63)(16, 64)(17, 65)(18, 66)(19, 67)(20, 68)(21, 69)(22, 70)(23, 71)(24, 72)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 48, 48 ), ( 48^12 ) }
Outer automorphisms :: reflexible
Dual of E10.557
Transitivity :: ET+
Graph:: simple bipartite
	v = 28 e = 48 f = 2
	degree seq :: [ 2^24, 12^4 ]

E10.554 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 12, 24})
Quotient :: edge
Aut^+ = C3 x QD16 (small group id <48, 26>)
Aut   = (D8 x S3) : C2 (small group id <96, 121>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, (T2^-1 * T1^-1)^2, T2^-4 * T1^2, T1^-2 * T2^-1 * T1 * T2^-1 * T1^-1, T2^2 * T1^-2 * T2^2, T2^-1 * T1 * T2^-1 * T1^9 ]
Map:: polytopal non-degenerate
	R = (1, 3, 10, 18, 6, 17, 32, 43, 30, 21, 36, 46, 48, 44, 35, 28, 40, 45, 34, 20, 13, 27, 15, 5)(2, 7, 19, 31, 16, 14, 29, 41, 42, 33, 25, 39, 47, 38, 24, 11, 26, 37, 23, 9, 4, 12, 22, 8)(49, 50, 54, 64, 78, 90, 96, 95, 88, 74, 61, 52)(51, 57, 65, 56, 69, 79, 92, 89, 93, 87, 75, 59)(53, 62, 66, 81, 91, 86, 94, 85, 76, 60, 68, 55)(58, 72, 80, 71, 84, 70, 83, 67, 82, 77, 63, 73)
	L = (1, 49)(2, 50)(3, 51)(4, 52)(5, 53)(6, 54)(7, 55)(8, 56)(9, 57)(10, 58)(11, 59)(12, 60)(13, 61)(14, 62)(15, 63)(16, 64)(17, 65)(18, 66)(19, 67)(20, 68)(21, 69)(22, 70)(23, 71)(24, 72)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 4^12 ), ( 4^24 ) }
Outer automorphisms :: reflexible
Dual of E10.558
Transitivity :: ET+
Graph:: bipartite
	v = 6 e = 48 f = 24
	degree seq :: [ 12^4, 24^2 ]

E10.555 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 12, 24})
Quotient :: edge
Aut^+ = C3 x QD16 (small group id <48, 26>)
Aut   = (D8 x S3) : C2 (small group id <96, 121>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T1^-4 * T2 * T1^-1 * T2 * T1^-1 ]
Map::
	R = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 17)(10, 21)(11, 24)(13, 28)(14, 29)(15, 32)(18, 34)(19, 33)(20, 23)(22, 25)(26, 39)(27, 41)(30, 42)(31, 43)(35, 44)(36, 45)(37, 46)(38, 47)(40, 48)(49, 50, 53, 59, 71, 65, 77, 87, 94, 91, 82, 90, 96, 92, 80, 89, 95, 93, 81, 64, 76, 70, 58, 52)(51, 55, 63, 79, 68, 57, 67, 83, 85, 72, 69, 84, 88, 74, 60, 73, 86, 78, 62, 54, 61, 75, 66, 56)
	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, 24 ), ( 24^24 ) }
Outer automorphisms :: reflexible
Dual of E10.556
Transitivity :: ET+
Graph:: simple bipartite
	v = 26 e = 48 f = 4
	degree seq :: [ 2^24, 24^2 ]

E10.556 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 12, 24})
Quotient :: loop
Aut^+ = C3 x QD16 (small group id <48, 26>)
Aut   = (D8 x S3) : C2 (small group id <96, 121>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, T2^2 * T1 * T2^-2 * T1, T1 * T2^-3 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1, T2^12 ]
Map::
	R = (1, 49, 3, 51, 8, 56, 17, 65, 28, 76, 41, 89, 47, 95, 42, 90, 31, 79, 19, 67, 10, 58, 4, 52)(2, 50, 5, 53, 12, 60, 22, 70, 35, 83, 45, 93, 48, 96, 46, 94, 38, 86, 24, 72, 14, 62, 6, 54)(7, 55, 15, 63, 26, 74, 36, 84, 44, 92, 34, 82, 43, 91, 32, 80, 30, 78, 18, 66, 9, 57, 16, 64)(11, 59, 20, 68, 33, 81, 29, 77, 40, 88, 27, 75, 39, 87, 25, 73, 37, 85, 23, 71, 13, 61, 21, 69)
	L = (1, 50)(2, 49)(3, 55)(4, 57)(5, 59)(6, 61)(7, 51)(8, 60)(9, 52)(10, 62)(11, 53)(12, 56)(13, 54)(14, 58)(15, 73)(16, 75)(17, 74)(18, 77)(19, 78)(20, 80)(21, 82)(22, 81)(23, 84)(24, 85)(25, 63)(26, 65)(27, 64)(28, 83)(29, 66)(30, 67)(31, 86)(32, 68)(33, 70)(34, 69)(35, 76)(36, 71)(37, 72)(38, 79)(39, 94)(40, 93)(41, 92)(42, 91)(43, 90)(44, 89)(45, 88)(46, 87)(47, 96)(48, 95)
	local type(s) :: { ( 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24 ) }
Outer automorphisms :: reflexible
Dual of E10.555
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 4 e = 48 f = 26
	degree seq :: [ 24^4 ]

E10.557 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 12, 24})
Quotient :: loop
Aut^+ = C3 x QD16 (small group id <48, 26>)
Aut   = (D8 x S3) : C2 (small group id <96, 121>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, (T2^-1 * T1^-1)^2, T2^-4 * T1^2, T1^-2 * T2^-1 * T1 * T2^-1 * T1^-1, T2^2 * T1^-2 * T2^2, T2^-1 * T1 * T2^-1 * T1^9 ]
Map::
	R = (1, 49, 3, 51, 10, 58, 18, 66, 6, 54, 17, 65, 32, 80, 43, 91, 30, 78, 21, 69, 36, 84, 46, 94, 48, 96, 44, 92, 35, 83, 28, 76, 40, 88, 45, 93, 34, 82, 20, 68, 13, 61, 27, 75, 15, 63, 5, 53)(2, 50, 7, 55, 19, 67, 31, 79, 16, 64, 14, 62, 29, 77, 41, 89, 42, 90, 33, 81, 25, 73, 39, 87, 47, 95, 38, 86, 24, 72, 11, 59, 26, 74, 37, 85, 23, 71, 9, 57, 4, 52, 12, 60, 22, 70, 8, 56)
	L = (1, 50)(2, 54)(3, 57)(4, 49)(5, 62)(6, 64)(7, 53)(8, 69)(9, 65)(10, 72)(11, 51)(12, 68)(13, 52)(14, 66)(15, 73)(16, 78)(17, 56)(18, 81)(19, 82)(20, 55)(21, 79)(22, 83)(23, 84)(24, 80)(25, 58)(26, 61)(27, 59)(28, 60)(29, 63)(30, 90)(31, 92)(32, 71)(33, 91)(34, 77)(35, 67)(36, 70)(37, 76)(38, 94)(39, 75)(40, 74)(41, 93)(42, 96)(43, 86)(44, 89)(45, 87)(46, 85)(47, 88)(48, 95)
	local type(s) :: { ( 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12 ) }
Outer automorphisms :: reflexible
Dual of E10.553
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 2 e = 48 f = 28
	degree seq :: [ 48^2 ]

E10.558 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 12, 24})
Quotient :: loop
Aut^+ = C3 x QD16 (small group id <48, 26>)
Aut   = (D8 x S3) : C2 (small group id <96, 121>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T1^-4 * T2 * T1^-1 * T2 * T1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 49, 3, 51)(2, 50, 6, 54)(4, 52, 9, 57)(5, 53, 12, 60)(7, 55, 16, 64)(8, 56, 17, 65)(10, 58, 21, 69)(11, 59, 24, 72)(13, 61, 28, 76)(14, 62, 29, 77)(15, 63, 32, 80)(18, 66, 34, 82)(19, 67, 33, 81)(20, 68, 23, 71)(22, 70, 25, 73)(26, 74, 39, 87)(27, 75, 41, 89)(30, 78, 42, 90)(31, 79, 43, 91)(35, 83, 44, 92)(36, 84, 45, 93)(37, 85, 46, 94)(38, 86, 47, 95)(40, 88, 48, 96)
	L = (1, 50)(2, 53)(3, 55)(4, 49)(5, 59)(6, 61)(7, 63)(8, 51)(9, 67)(10, 52)(11, 71)(12, 73)(13, 75)(14, 54)(15, 79)(16, 76)(17, 77)(18, 56)(19, 83)(20, 57)(21, 84)(22, 58)(23, 65)(24, 69)(25, 86)(26, 60)(27, 66)(28, 70)(29, 87)(30, 62)(31, 68)(32, 89)(33, 64)(34, 90)(35, 85)(36, 88)(37, 72)(38, 78)(39, 94)(40, 74)(41, 95)(42, 96)(43, 82)(44, 80)(45, 81)(46, 91)(47, 93)(48, 92)
	local type(s) :: { ( 12, 24, 12, 24 ) }
Outer automorphisms :: reflexible
Dual of E10.554
Transitivity :: ET+ VT+ AT
Graph:: simple bipartite
	v = 24 e = 48 f = 6
	degree seq :: [ 4^24 ]

E10.559 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 12, 24})
Quotient :: dipole
Aut^+ = C3 x QD16 (small group id <48, 26>)
Aut   = (D8 x S3) : C2 (small group id <96, 121>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y2^2 * Y1 * Y2^-2 * Y1, Y1 * Y2^-3 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1, Y2^12, (Y3 * Y2^-1)^24 ]
Map::
	R = (1, 49, 2, 50)(3, 51, 7, 55)(4, 52, 9, 57)(5, 53, 11, 59)(6, 54, 13, 61)(8, 56, 12, 60)(10, 58, 14, 62)(15, 63, 25, 73)(16, 64, 27, 75)(17, 65, 26, 74)(18, 66, 29, 77)(19, 67, 30, 78)(20, 68, 32, 80)(21, 69, 34, 82)(22, 70, 33, 81)(23, 71, 36, 84)(24, 72, 37, 85)(28, 76, 35, 83)(31, 79, 38, 86)(39, 87, 46, 94)(40, 88, 45, 93)(41, 89, 44, 92)(42, 90, 43, 91)(47, 95, 48, 96)(97, 145, 99, 147, 104, 152, 113, 161, 124, 172, 137, 185, 143, 191, 138, 186, 127, 175, 115, 163, 106, 154, 100, 148)(98, 146, 101, 149, 108, 156, 118, 166, 131, 179, 141, 189, 144, 192, 142, 190, 134, 182, 120, 168, 110, 158, 102, 150)(103, 151, 111, 159, 122, 170, 132, 180, 140, 188, 130, 178, 139, 187, 128, 176, 126, 174, 114, 162, 105, 153, 112, 160)(107, 155, 116, 164, 129, 177, 125, 173, 136, 184, 123, 171, 135, 183, 121, 169, 133, 181, 119, 167, 109, 157, 117, 165)
	L = (1, 98)(2, 97)(3, 103)(4, 105)(5, 107)(6, 109)(7, 99)(8, 108)(9, 100)(10, 110)(11, 101)(12, 104)(13, 102)(14, 106)(15, 121)(16, 123)(17, 122)(18, 125)(19, 126)(20, 128)(21, 130)(22, 129)(23, 132)(24, 133)(25, 111)(26, 113)(27, 112)(28, 131)(29, 114)(30, 115)(31, 134)(32, 116)(33, 118)(34, 117)(35, 124)(36, 119)(37, 120)(38, 127)(39, 142)(40, 141)(41, 140)(42, 139)(43, 138)(44, 137)(45, 136)(46, 135)(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) :: { ( 2, 48, 2, 48 ), ( 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48 ) }
Outer automorphisms :: reflexible
Dual of E10.562
Graph:: bipartite
	v = 28 e = 96 f = 50
	degree seq :: [ 4^24, 24^4 ]

E10.560 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 12, 24})
Quotient :: dipole
Aut^+ = C3 x QD16 (small group id <48, 26>)
Aut   = (D8 x S3) : C2 (small group id <96, 121>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, (Y1^-1 * Y2^-1)^2, (R * Y1)^2, (R * Y3)^2, (Y3^-1 * Y1^-1)^2, Y2^-4 * Y1^2, Y1^-1 * Y2^-1 * Y1 * Y2^-1 * Y1^-2, Y2^4 * Y1^-2, Y2^-1 * Y1 * Y2^-1 * Y1^9 ]
Map::
	R = (1, 49, 2, 50, 6, 54, 16, 64, 30, 78, 42, 90, 48, 96, 47, 95, 40, 88, 26, 74, 13, 61, 4, 52)(3, 51, 9, 57, 17, 65, 8, 56, 21, 69, 31, 79, 44, 92, 41, 89, 45, 93, 39, 87, 27, 75, 11, 59)(5, 53, 14, 62, 18, 66, 33, 81, 43, 91, 38, 86, 46, 94, 37, 85, 28, 76, 12, 60, 20, 68, 7, 55)(10, 58, 24, 72, 32, 80, 23, 71, 36, 84, 22, 70, 35, 83, 19, 67, 34, 82, 29, 77, 15, 63, 25, 73)(97, 145, 99, 147, 106, 154, 114, 162, 102, 150, 113, 161, 128, 176, 139, 187, 126, 174, 117, 165, 132, 180, 142, 190, 144, 192, 140, 188, 131, 179, 124, 172, 136, 184, 141, 189, 130, 178, 116, 164, 109, 157, 123, 171, 111, 159, 101, 149)(98, 146, 103, 151, 115, 163, 127, 175, 112, 160, 110, 158, 125, 173, 137, 185, 138, 186, 129, 177, 121, 169, 135, 183, 143, 191, 134, 182, 120, 168, 107, 155, 122, 170, 133, 181, 119, 167, 105, 153, 100, 148, 108, 156, 118, 166, 104, 152)
	L = (1, 99)(2, 103)(3, 106)(4, 108)(5, 97)(6, 113)(7, 115)(8, 98)(9, 100)(10, 114)(11, 122)(12, 118)(13, 123)(14, 125)(15, 101)(16, 110)(17, 128)(18, 102)(19, 127)(20, 109)(21, 132)(22, 104)(23, 105)(24, 107)(25, 135)(26, 133)(27, 111)(28, 136)(29, 137)(30, 117)(31, 112)(32, 139)(33, 121)(34, 116)(35, 124)(36, 142)(37, 119)(38, 120)(39, 143)(40, 141)(41, 138)(42, 129)(43, 126)(44, 131)(45, 130)(46, 144)(47, 134)(48, 140)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4 ), ( 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 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 E10.561
Graph:: bipartite
	v = 6 e = 96 f = 72
	degree seq :: [ 24^4, 48^2 ]

E10.561 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 12, 24})
Quotient :: dipole
Aut^+ = C3 x QD16 (small group id <48, 26>)
Aut   = (D8 x S3) : C2 (small group id <96, 121>)
|r| :: 2
Presentation :: [ Y1, Y2^2, R^2, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y3^5 * Y2 * Y3 * Y2, (Y3^2 * Y2 * Y3^-2 * Y2)^2, (Y3^-1 * Y1^-1)^24 ]
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)(99, 147, 103, 151)(100, 148, 105, 153)(101, 149, 107, 155)(102, 150, 109, 157)(104, 152, 113, 161)(106, 154, 117, 165)(108, 156, 121, 169)(110, 158, 125, 173)(111, 159, 119, 167)(112, 160, 123, 171)(114, 162, 130, 178)(115, 163, 120, 168)(116, 164, 124, 172)(118, 166, 128, 176)(122, 170, 136, 184)(126, 174, 134, 182)(127, 175, 138, 186)(129, 177, 137, 185)(131, 179, 135, 183)(132, 180, 133, 181)(139, 187, 142, 190)(140, 188, 143, 191)(141, 189, 144, 192)
	L = (1, 99)(2, 101)(3, 104)(4, 97)(5, 108)(6, 98)(7, 111)(8, 114)(9, 115)(10, 100)(11, 119)(12, 122)(13, 123)(14, 102)(15, 126)(16, 103)(17, 128)(18, 124)(19, 131)(20, 105)(21, 132)(22, 106)(23, 118)(24, 107)(25, 134)(26, 116)(27, 137)(28, 109)(29, 138)(30, 110)(31, 112)(32, 139)(33, 113)(34, 117)(35, 141)(36, 140)(37, 120)(38, 142)(39, 121)(40, 125)(41, 144)(42, 143)(43, 127)(44, 129)(45, 130)(46, 133)(47, 135)(48, 136)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 24, 48 ), ( 24, 48, 24, 48 ) }
Outer automorphisms :: reflexible
Dual of E10.560
Graph:: simple bipartite
	v = 72 e = 96 f = 6
	degree seq :: [ 2^48, 4^24 ]

E10.562 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 12, 24})
Quotient :: dipole
Aut^+ = C3 x QD16 (small group id <48, 26>)
Aut   = (D8 x S3) : C2 (small group id <96, 121>)
|r| :: 2
Presentation :: [ Y2, R^2, Y3^2, R * Y2 * R * Y2^-1, (R * Y3)^2, (R * Y1)^2, (Y3 * Y2^-1)^2, Y3 * Y1^-5 * Y3 * Y1^-1, (Y3 * Y1^2 * Y3 * Y1^-2)^2 ]
Map::
	R = (1, 49, 2, 50, 5, 53, 11, 59, 23, 71, 17, 65, 29, 77, 39, 87, 46, 94, 43, 91, 34, 82, 42, 90, 48, 96, 44, 92, 32, 80, 41, 89, 47, 95, 45, 93, 33, 81, 16, 64, 28, 76, 22, 70, 10, 58, 4, 52)(3, 51, 7, 55, 15, 63, 31, 79, 20, 68, 9, 57, 19, 67, 35, 83, 37, 85, 24, 72, 21, 69, 36, 84, 40, 88, 26, 74, 12, 60, 25, 73, 38, 86, 30, 78, 14, 62, 6, 54, 13, 61, 27, 75, 18, 66, 8, 56)(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, 102)(3, 97)(4, 105)(5, 108)(6, 98)(7, 112)(8, 113)(9, 100)(10, 117)(11, 120)(12, 101)(13, 124)(14, 125)(15, 128)(16, 103)(17, 104)(18, 130)(19, 129)(20, 119)(21, 106)(22, 121)(23, 116)(24, 107)(25, 118)(26, 135)(27, 137)(28, 109)(29, 110)(30, 138)(31, 139)(32, 111)(33, 115)(34, 114)(35, 140)(36, 141)(37, 142)(38, 143)(39, 122)(40, 144)(41, 123)(42, 126)(43, 127)(44, 131)(45, 132)(46, 133)(47, 134)(48, 136)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 4, 24 ), ( 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24 ) }
Outer automorphisms :: reflexible
Dual of E10.559
Graph:: simple bipartite
	v = 50 e = 96 f = 28
	degree seq :: [ 2^48, 48^2 ]

E10.563 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 12, 24})
Quotient :: dipole
Aut^+ = C3 x QD16 (small group id <48, 26>)
Aut   = (D8 x S3) : C2 (small group id <96, 121>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, (R * Y3)^2, (R * Y1)^2, (Y1 * R * Y2^-1)^2, (R * Y2 * Y3^-1)^2, Y2^5 * Y1 * Y2 * Y1, Y2^-1 * R * Y1 * Y2 * Y1 * Y2 * R * Y2^-3, (Y2^2 * Y1 * Y2^-2 * Y1)^2, (Y3 * Y2^-1)^12 ]
Map::
	R = (1, 49, 2, 50)(3, 51, 7, 55)(4, 52, 9, 57)(5, 53, 11, 59)(6, 54, 13, 61)(8, 56, 17, 65)(10, 58, 21, 69)(12, 60, 25, 73)(14, 62, 29, 77)(15, 63, 23, 71)(16, 64, 27, 75)(18, 66, 34, 82)(19, 67, 24, 72)(20, 68, 28, 76)(22, 70, 32, 80)(26, 74, 40, 88)(30, 78, 38, 86)(31, 79, 42, 90)(33, 81, 41, 89)(35, 83, 39, 87)(36, 84, 37, 85)(43, 91, 46, 94)(44, 92, 47, 95)(45, 93, 48, 96)(97, 145, 99, 147, 104, 152, 114, 162, 124, 172, 109, 157, 123, 171, 137, 185, 144, 192, 136, 184, 125, 173, 138, 186, 143, 191, 135, 183, 121, 169, 134, 182, 142, 190, 133, 181, 120, 168, 107, 155, 119, 167, 118, 166, 106, 154, 100, 148)(98, 146, 101, 149, 108, 156, 122, 170, 116, 164, 105, 153, 115, 163, 131, 179, 141, 189, 130, 178, 117, 165, 132, 180, 140, 188, 129, 177, 113, 161, 128, 176, 139, 187, 127, 175, 112, 160, 103, 151, 111, 159, 126, 174, 110, 158, 102, 150)
	L = (1, 98)(2, 97)(3, 103)(4, 105)(5, 107)(6, 109)(7, 99)(8, 113)(9, 100)(10, 117)(11, 101)(12, 121)(13, 102)(14, 125)(15, 119)(16, 123)(17, 104)(18, 130)(19, 120)(20, 124)(21, 106)(22, 128)(23, 111)(24, 115)(25, 108)(26, 136)(27, 112)(28, 116)(29, 110)(30, 134)(31, 138)(32, 118)(33, 137)(34, 114)(35, 135)(36, 133)(37, 132)(38, 126)(39, 131)(40, 122)(41, 129)(42, 127)(43, 142)(44, 143)(45, 144)(46, 139)(47, 140)(48, 141)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 2, 24, 2, 24 ), ( 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 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 E10.564
Graph:: bipartite
	v = 26 e = 96 f = 52
	degree seq :: [ 4^24, 48^2 ]

E10.564 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 12, 24})
Quotient :: dipole
Aut^+ = C3 x QD16 (small group id <48, 26>)
Aut   = (D8 x S3) : C2 (small group id <96, 121>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y1)^2, (R * Y3)^2, (Y3^-1 * Y1^-1)^2, Y3^-4 * Y1^2, Y3^2 * Y1^-2 * Y3^2, (R * Y2 * Y3^-1)^2, Y1^-1 * Y3^-1 * Y1 * Y3^-1 * Y1^-2, Y3^-1 * Y1 * Y3^-1 * Y1^9, (Y3 * Y2^-1)^24 ]
Map::
	R = (1, 49, 2, 50, 6, 54, 16, 64, 30, 78, 42, 90, 48, 96, 47, 95, 40, 88, 26, 74, 13, 61, 4, 52)(3, 51, 9, 57, 17, 65, 8, 56, 21, 69, 31, 79, 44, 92, 41, 89, 45, 93, 39, 87, 27, 75, 11, 59)(5, 53, 14, 62, 18, 66, 33, 81, 43, 91, 38, 86, 46, 94, 37, 85, 28, 76, 12, 60, 20, 68, 7, 55)(10, 58, 24, 72, 32, 80, 23, 71, 36, 84, 22, 70, 35, 83, 19, 67, 34, 82, 29, 77, 15, 63, 25, 73)(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, 113)(7, 115)(8, 98)(9, 100)(10, 114)(11, 122)(12, 118)(13, 123)(14, 125)(15, 101)(16, 110)(17, 128)(18, 102)(19, 127)(20, 109)(21, 132)(22, 104)(23, 105)(24, 107)(25, 135)(26, 133)(27, 111)(28, 136)(29, 137)(30, 117)(31, 112)(32, 139)(33, 121)(34, 116)(35, 124)(36, 142)(37, 119)(38, 120)(39, 143)(40, 141)(41, 138)(42, 129)(43, 126)(44, 131)(45, 130)(46, 144)(47, 134)(48, 140)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 4, 48 ), ( 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48 ) }
Outer automorphisms :: reflexible
Dual of E10.563
Graph:: simple bipartite
	v = 52 e = 96 f = 26
	degree seq :: [ 2^48, 24^4 ]

E10.565 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 3, 3})
Quotient :: halfedge^2
Aut^+ = ((C3 x C3) : C3) : C2 (small group id <54, 5>)
Aut   = (((C3 x C3) : C3) : C2) : C2 (small group id <108, 17>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, Y3 * Y2, Y1^3, (R * Y1)^2, R * Y3 * R * Y2, (Y2 * Y1)^6, (Y2 * Y1 * Y2 * Y1^-1)^3 ]
Map::
	R = (1, 56, 2, 58, 4, 55)(3, 60, 6, 61, 7, 57)(5, 63, 9, 64, 10, 59)(8, 67, 13, 68, 14, 62)(11, 71, 17, 72, 18, 65)(12, 73, 19, 74, 20, 66)(15, 77, 23, 78, 24, 69)(16, 79, 25, 80, 26, 70)(21, 85, 31, 86, 32, 75)(22, 87, 33, 88, 34, 76)(27, 93, 39, 94, 40, 81)(28, 91, 37, 95, 41, 82)(29, 96, 42, 97, 43, 83)(30, 98, 44, 89, 35, 84)(36, 100, 46, 101, 47, 90)(38, 102, 48, 99, 45, 92)(49, 106, 52, 108, 54, 103)(50, 107, 53, 105, 51, 104)
	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, 45)(32, 43)(33, 46)(34, 39)(40, 49)(41, 50)(42, 51)(44, 52)(47, 53)(48, 54)(55, 57)(56, 59)(58, 62)(60, 65)(61, 66)(63, 69)(64, 70)(67, 75)(68, 76)(71, 81)(72, 82)(73, 83)(74, 84)(77, 89)(78, 90)(79, 91)(80, 92)(85, 99)(86, 97)(87, 100)(88, 93)(94, 103)(95, 104)(96, 105)(98, 106)(101, 107)(102, 108)
	local type(s) :: { ( 6^6 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+ AT
Graph:: bipartite
	v = 18 e = 54 f = 18
	degree seq :: [ 6^18 ]

E10.566 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 3, 3})
Quotient :: edge^2
Aut^+ = ((C3 x C3) : C3) : C2 (small group id <54, 5>)
Aut   = (((C3 x C3) : C3) : C2) : C2 (small group id <108, 17>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y2 * Y1, Y3^3, (R * Y3)^2, R * Y1 * R * Y2, (Y1 * Y3^-1)^6, (Y1 * Y3 * Y1 * Y3^-1)^3 ]
Map::
	R = (1, 55, 3, 57, 4, 58)(2, 56, 5, 59, 6, 60)(7, 61, 11, 65, 12, 66)(8, 62, 13, 67, 14, 68)(9, 63, 15, 69, 16, 70)(10, 64, 17, 71, 18, 72)(19, 73, 27, 81, 28, 82)(20, 74, 29, 83, 30, 84)(21, 75, 31, 85, 32, 86)(22, 76, 33, 87, 34, 88)(23, 77, 35, 89, 36, 90)(24, 78, 37, 91, 38, 92)(25, 79, 39, 93, 40, 94)(26, 80, 41, 95, 42, 96)(43, 97, 46, 100, 51, 105)(44, 98, 52, 106, 45, 99)(47, 101, 50, 104, 53, 107)(48, 102, 54, 108, 49, 103)(109, 110)(111, 115)(112, 116)(113, 117)(114, 118)(119, 127)(120, 128)(121, 129)(122, 130)(123, 131)(124, 132)(125, 133)(126, 134)(135, 150)(136, 151)(137, 145)(138, 152)(139, 153)(140, 148)(141, 154)(142, 143)(144, 155)(146, 156)(147, 157)(149, 158)(159, 162)(160, 161)(163, 164)(165, 169)(166, 170)(167, 171)(168, 172)(173, 181)(174, 182)(175, 183)(176, 184)(177, 185)(178, 186)(179, 187)(180, 188)(189, 204)(190, 205)(191, 199)(192, 206)(193, 207)(194, 202)(195, 208)(196, 197)(198, 209)(200, 210)(201, 211)(203, 212)(213, 216)(214, 215)
	L = (1, 109)(2, 110)(3, 111)(4, 112)(5, 113)(6, 114)(7, 115)(8, 116)(9, 117)(10, 118)(11, 119)(12, 120)(13, 121)(14, 122)(15, 123)(16, 124)(17, 125)(18, 126)(19, 127)(20, 128)(21, 129)(22, 130)(23, 131)(24, 132)(25, 133)(26, 134)(27, 135)(28, 136)(29, 137)(30, 138)(31, 139)(32, 140)(33, 141)(34, 142)(35, 143)(36, 144)(37, 145)(38, 146)(39, 147)(40, 148)(41, 149)(42, 150)(43, 151)(44, 152)(45, 153)(46, 154)(47, 155)(48, 156)(49, 157)(50, 158)(51, 159)(52, 160)(53, 161)(54, 162)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 12, 12 ), ( 12^6 ) }
Outer automorphisms :: reflexible
Dual of E10.568
Graph:: simple bipartite
	v = 72 e = 108 f = 18
	degree seq :: [ 2^54, 6^18 ]

E10.567 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 3, 3})
Quotient :: edge^2
Aut^+ = ((C3 x C3) : C3) : C2 (small group id <54, 5>)
Aut   = C2 x (((C3 x C3) : C3) : C2) (small group id <108, 25>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2^-1 * Y1^-1, Y1^2 * Y2^-1, Y2^3, R * Y2 * R * Y1, (R * Y3)^2, Y3 * Y1 * Y3 * Y2 * Y3 * Y1 * Y3 * Y1^-1 * Y3 * Y2^-1 * Y3 * Y1^-1, Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1, Y3 * Y2 * Y3 * Y1 * Y3 * Y2 * Y3 * Y2^-1 * Y3 * Y1^-1 * Y3 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 55, 4, 58)(2, 56, 5, 59)(3, 57, 6, 60)(7, 61, 13, 67)(8, 62, 14, 68)(9, 63, 15, 69)(10, 64, 16, 70)(11, 65, 17, 71)(12, 66, 18, 72)(19, 73, 31, 85)(20, 74, 32, 86)(21, 75, 33, 87)(22, 76, 34, 88)(23, 77, 35, 89)(24, 78, 36, 90)(25, 79, 37, 91)(26, 80, 38, 92)(27, 81, 39, 93)(28, 82, 40, 94)(29, 83, 41, 95)(30, 84, 42, 96)(43, 97, 49, 103)(44, 98, 50, 104)(45, 99, 51, 105)(46, 100, 52, 106)(47, 101, 53, 107)(48, 102, 54, 108)(109, 110, 111)(112, 115, 116)(113, 117, 118)(114, 119, 120)(121, 127, 128)(122, 129, 130)(123, 131, 132)(124, 133, 134)(125, 135, 136)(126, 137, 138)(139, 150, 151)(140, 145, 152)(141, 153, 148)(142, 154, 143)(144, 149, 155)(146, 156, 147)(157, 160, 162)(158, 161, 159)(163, 165, 164)(166, 170, 169)(167, 172, 171)(168, 174, 173)(175, 182, 181)(176, 184, 183)(177, 186, 185)(178, 188, 187)(179, 190, 189)(180, 192, 191)(193, 205, 204)(194, 206, 199)(195, 202, 207)(196, 197, 208)(198, 209, 203)(200, 201, 210)(211, 216, 214)(212, 213, 215)
	L = (1, 109)(2, 110)(3, 111)(4, 112)(5, 113)(6, 114)(7, 115)(8, 116)(9, 117)(10, 118)(11, 119)(12, 120)(13, 121)(14, 122)(15, 123)(16, 124)(17, 125)(18, 126)(19, 127)(20, 128)(21, 129)(22, 130)(23, 131)(24, 132)(25, 133)(26, 134)(27, 135)(28, 136)(29, 137)(30, 138)(31, 139)(32, 140)(33, 141)(34, 142)(35, 143)(36, 144)(37, 145)(38, 146)(39, 147)(40, 148)(41, 149)(42, 150)(43, 151)(44, 152)(45, 153)(46, 154)(47, 155)(48, 156)(49, 157)(50, 158)(51, 159)(52, 160)(53, 161)(54, 162)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 8^3 ), ( 8^4 ) }
Outer automorphisms :: reflexible
Dual of E10.569
Graph:: simple bipartite
	v = 63 e = 108 f = 27
	degree seq :: [ 3^36, 4^27 ]

E10.568 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 3, 3})
Quotient :: loop^2
Aut^+ = ((C3 x C3) : C3) : C2 (small group id <54, 5>)
Aut   = (((C3 x C3) : C3) : C2) : C2 (small group id <108, 17>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y2 * Y1, Y3^3, (R * Y3)^2, R * Y1 * R * Y2, (Y1 * Y3^-1)^6, (Y1 * Y3 * Y1 * Y3^-1)^3 ]
Map::
	R = (1, 55, 109, 163, 3, 57, 111, 165, 4, 58, 112, 166)(2, 56, 110, 164, 5, 59, 113, 167, 6, 60, 114, 168)(7, 61, 115, 169, 11, 65, 119, 173, 12, 66, 120, 174)(8, 62, 116, 170, 13, 67, 121, 175, 14, 68, 122, 176)(9, 63, 117, 171, 15, 69, 123, 177, 16, 70, 124, 178)(10, 64, 118, 172, 17, 71, 125, 179, 18, 72, 126, 180)(19, 73, 127, 181, 27, 81, 135, 189, 28, 82, 136, 190)(20, 74, 128, 182, 29, 83, 137, 191, 30, 84, 138, 192)(21, 75, 129, 183, 31, 85, 139, 193, 32, 86, 140, 194)(22, 76, 130, 184, 33, 87, 141, 195, 34, 88, 142, 196)(23, 77, 131, 185, 35, 89, 143, 197, 36, 90, 144, 198)(24, 78, 132, 186, 37, 91, 145, 199, 38, 92, 146, 200)(25, 79, 133, 187, 39, 93, 147, 201, 40, 94, 148, 202)(26, 80, 134, 188, 41, 95, 149, 203, 42, 96, 150, 204)(43, 97, 151, 205, 46, 100, 154, 208, 51, 105, 159, 213)(44, 98, 152, 206, 52, 106, 160, 214, 45, 99, 153, 207)(47, 101, 155, 209, 50, 104, 158, 212, 53, 107, 161, 215)(48, 102, 156, 210, 54, 108, 162, 216, 49, 103, 157, 211)
	L = (1, 56)(2, 55)(3, 61)(4, 62)(5, 63)(6, 64)(7, 57)(8, 58)(9, 59)(10, 60)(11, 73)(12, 74)(13, 75)(14, 76)(15, 77)(16, 78)(17, 79)(18, 80)(19, 65)(20, 66)(21, 67)(22, 68)(23, 69)(24, 70)(25, 71)(26, 72)(27, 96)(28, 97)(29, 91)(30, 98)(31, 99)(32, 94)(33, 100)(34, 89)(35, 88)(36, 101)(37, 83)(38, 102)(39, 103)(40, 86)(41, 104)(42, 81)(43, 82)(44, 84)(45, 85)(46, 87)(47, 90)(48, 92)(49, 93)(50, 95)(51, 108)(52, 107)(53, 106)(54, 105)(109, 164)(110, 163)(111, 169)(112, 170)(113, 171)(114, 172)(115, 165)(116, 166)(117, 167)(118, 168)(119, 181)(120, 182)(121, 183)(122, 184)(123, 185)(124, 186)(125, 187)(126, 188)(127, 173)(128, 174)(129, 175)(130, 176)(131, 177)(132, 178)(133, 179)(134, 180)(135, 204)(136, 205)(137, 199)(138, 206)(139, 207)(140, 202)(141, 208)(142, 197)(143, 196)(144, 209)(145, 191)(146, 210)(147, 211)(148, 194)(149, 212)(150, 189)(151, 190)(152, 192)(153, 193)(154, 195)(155, 198)(156, 200)(157, 201)(158, 203)(159, 216)(160, 215)(161, 214)(162, 213)
	local type(s) :: { ( 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6 ) }
Outer automorphisms :: reflexible
Dual of E10.566
Transitivity :: VT+
Graph:: bipartite
	v = 18 e = 108 f = 72
	degree seq :: [ 12^18 ]

E10.569 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 3, 3})
Quotient :: loop^2
Aut^+ = ((C3 x C3) : C3) : C2 (small group id <54, 5>)
Aut   = C2 x (((C3 x C3) : C3) : C2) (small group id <108, 25>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2^-1 * Y1^-1, Y1^2 * Y2^-1, Y2^3, R * Y2 * R * Y1, (R * Y3)^2, Y3 * Y1 * Y3 * Y2 * Y3 * Y1 * Y3 * Y1^-1 * Y3 * Y2^-1 * Y3 * Y1^-1, Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1, Y3 * Y2 * Y3 * Y1 * Y3 * Y2 * Y3 * Y2^-1 * Y3 * Y1^-1 * Y3 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 55, 109, 163, 4, 58, 112, 166)(2, 56, 110, 164, 5, 59, 113, 167)(3, 57, 111, 165, 6, 60, 114, 168)(7, 61, 115, 169, 13, 67, 121, 175)(8, 62, 116, 170, 14, 68, 122, 176)(9, 63, 117, 171, 15, 69, 123, 177)(10, 64, 118, 172, 16, 70, 124, 178)(11, 65, 119, 173, 17, 71, 125, 179)(12, 66, 120, 174, 18, 72, 126, 180)(19, 73, 127, 181, 31, 85, 139, 193)(20, 74, 128, 182, 32, 86, 140, 194)(21, 75, 129, 183, 33, 87, 141, 195)(22, 76, 130, 184, 34, 88, 142, 196)(23, 77, 131, 185, 35, 89, 143, 197)(24, 78, 132, 186, 36, 90, 144, 198)(25, 79, 133, 187, 37, 91, 145, 199)(26, 80, 134, 188, 38, 92, 146, 200)(27, 81, 135, 189, 39, 93, 147, 201)(28, 82, 136, 190, 40, 94, 148, 202)(29, 83, 137, 191, 41, 95, 149, 203)(30, 84, 138, 192, 42, 96, 150, 204)(43, 97, 151, 205, 49, 103, 157, 211)(44, 98, 152, 206, 50, 104, 158, 212)(45, 99, 153, 207, 51, 105, 159, 213)(46, 100, 154, 208, 52, 106, 160, 214)(47, 101, 155, 209, 53, 107, 161, 215)(48, 102, 156, 210, 54, 108, 162, 216)
	L = (1, 56)(2, 57)(3, 55)(4, 61)(5, 63)(6, 65)(7, 62)(8, 58)(9, 64)(10, 59)(11, 66)(12, 60)(13, 73)(14, 75)(15, 77)(16, 79)(17, 81)(18, 83)(19, 74)(20, 67)(21, 76)(22, 68)(23, 78)(24, 69)(25, 80)(26, 70)(27, 82)(28, 71)(29, 84)(30, 72)(31, 96)(32, 91)(33, 99)(34, 100)(35, 88)(36, 95)(37, 98)(38, 102)(39, 92)(40, 87)(41, 101)(42, 97)(43, 85)(44, 86)(45, 94)(46, 89)(47, 90)(48, 93)(49, 106)(50, 107)(51, 104)(52, 108)(53, 105)(54, 103)(109, 165)(110, 163)(111, 164)(112, 170)(113, 172)(114, 174)(115, 166)(116, 169)(117, 167)(118, 171)(119, 168)(120, 173)(121, 182)(122, 184)(123, 186)(124, 188)(125, 190)(126, 192)(127, 175)(128, 181)(129, 176)(130, 183)(131, 177)(132, 185)(133, 178)(134, 187)(135, 179)(136, 189)(137, 180)(138, 191)(139, 205)(140, 206)(141, 202)(142, 197)(143, 208)(144, 209)(145, 194)(146, 201)(147, 210)(148, 207)(149, 198)(150, 193)(151, 204)(152, 199)(153, 195)(154, 196)(155, 203)(156, 200)(157, 216)(158, 213)(159, 215)(160, 211)(161, 212)(162, 214)
	local type(s) :: { ( 3, 4, 3, 4, 3, 4, 3, 4 ) }
Outer automorphisms :: reflexible
Dual of E10.567
Transitivity :: VT+
Graph::
	v = 27 e = 108 f = 63
	degree seq :: [ 8^27 ]

E10.570 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 3})
Quotient :: dipole
Aut^+ = ((C3 x C3) : C3) : C2 (small group id <54, 5>)
Aut   = (((C3 x C3) : C3) : C2) : C2 (small group id <108, 17>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^3 * Y2, (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, Y3 * Y2 * Y3^-1 * Y2, (Y3 * Y1)^3, (Y1 * Y2)^3 ]
Map:: polytopal non-degenerate
	R = (1, 55, 2, 56)(3, 57, 9, 63)(4, 58, 12, 66)(5, 59, 13, 67)(6, 60, 14, 68)(7, 61, 17, 71)(8, 62, 18, 72)(10, 64, 21, 75)(11, 65, 22, 76)(15, 69, 29, 83)(16, 70, 30, 84)(19, 73, 35, 89)(20, 74, 36, 90)(23, 77, 37, 91)(24, 78, 40, 94)(25, 79, 39, 93)(26, 80, 38, 92)(27, 81, 41, 95)(28, 82, 42, 96)(31, 85, 43, 97)(32, 86, 46, 100)(33, 87, 45, 99)(34, 88, 44, 98)(47, 101, 51, 105)(48, 102, 54, 108)(49, 103, 53, 107)(50, 104, 52, 106)(109, 163, 111, 165)(110, 164, 114, 168)(112, 166, 118, 172)(113, 167, 119, 173)(115, 169, 123, 177)(116, 170, 124, 178)(117, 171, 122, 176)(120, 174, 131, 185)(121, 175, 133, 187)(125, 179, 139, 193)(126, 180, 141, 195)(127, 181, 135, 189)(128, 182, 136, 190)(129, 183, 145, 199)(130, 184, 147, 201)(132, 186, 142, 196)(134, 188, 140, 194)(137, 191, 151, 205)(138, 192, 153, 207)(143, 197, 155, 209)(144, 198, 157, 211)(146, 200, 158, 212)(148, 202, 156, 210)(149, 203, 159, 213)(150, 204, 161, 215)(152, 206, 162, 216)(154, 208, 160, 214)
	L = (1, 112)(2, 115)(3, 118)(4, 119)(5, 109)(6, 123)(7, 124)(8, 110)(9, 127)(10, 113)(11, 111)(12, 126)(13, 134)(14, 135)(15, 116)(16, 114)(17, 121)(18, 142)(19, 136)(20, 117)(21, 144)(22, 148)(23, 141)(24, 120)(25, 140)(26, 139)(27, 128)(28, 122)(29, 150)(30, 154)(31, 133)(32, 125)(33, 132)(34, 131)(35, 130)(36, 158)(37, 157)(38, 129)(39, 156)(40, 155)(41, 138)(42, 162)(43, 161)(44, 137)(45, 160)(46, 159)(47, 147)(48, 143)(49, 146)(50, 145)(51, 153)(52, 149)(53, 152)(54, 151)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 6^4 ) }
Outer automorphisms :: reflexible
Dual of E10.575
Graph:: simple bipartite
	v = 54 e = 108 f = 36
	degree seq :: [ 4^54 ]

E10.571 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 3})
Quotient :: dipole
Aut^+ = ((C3 x C3) : C3) : C2 (small group id <54, 5>)
Aut   = (((C3 x C3) : C3) : C2) : C2 (small group id <108, 17>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^3, Y3^3, (R * Y3)^2, (Y1 * Y3)^2, (R * Y1)^2, Y3 * Y1 * Y3^-1 * Y1 * Y3, Y2^-1 * Y3^-1 * Y1 * Y2 * Y1 * Y3, (Y3 * Y2^-1)^3, (Y2^-1 * Y3^-1)^3, Y1 * Y2 * Y3^-1 * Y1 * Y2^-1 * Y3^-1, (R * Y2 * Y3^-1)^2, Y3^-1 * Y2^-1 * Y3 * Y2^-1 * Y1 * Y2^-1 * Y1, Y2 * Y3^-1 * Y2^-1 * Y3 * Y2 * Y1 * Y2^-1 * Y1 ]
Map:: polytopal non-degenerate
	R = (1, 55, 2, 56)(3, 57, 11, 65)(4, 58, 10, 64)(5, 59, 16, 70)(6, 60, 8, 62)(7, 61, 21, 75)(9, 63, 26, 80)(12, 66, 33, 87)(13, 67, 24, 78)(14, 68, 23, 77)(15, 69, 28, 82)(17, 71, 41, 95)(18, 72, 25, 79)(19, 73, 45, 99)(20, 74, 47, 101)(22, 76, 38, 92)(27, 81, 36, 90)(29, 83, 43, 97)(30, 84, 34, 88)(31, 85, 48, 102)(32, 86, 52, 106)(35, 89, 51, 105)(37, 91, 50, 104)(39, 93, 49, 103)(40, 94, 46, 100)(42, 96, 54, 108)(44, 98, 53, 107)(109, 163, 111, 165, 113, 167)(110, 164, 115, 169, 117, 171)(112, 166, 122, 176, 123, 177)(114, 168, 127, 181, 128, 182)(116, 170, 132, 186, 133, 187)(118, 172, 137, 191, 138, 192)(119, 173, 139, 193, 140, 194)(120, 174, 142, 196, 143, 197)(121, 175, 144, 198, 145, 199)(124, 178, 147, 201, 148, 202)(125, 179, 150, 204, 151, 205)(126, 180, 152, 206, 146, 200)(129, 183, 156, 210, 157, 211)(130, 184, 155, 209, 158, 212)(131, 185, 149, 203, 159, 213)(134, 188, 160, 214, 154, 208)(135, 189, 161, 215, 153, 207)(136, 190, 162, 216, 141, 195)
	L = (1, 112)(2, 116)(3, 120)(4, 114)(5, 125)(6, 109)(7, 130)(8, 118)(9, 135)(10, 110)(11, 132)(12, 121)(13, 111)(14, 146)(15, 144)(16, 133)(17, 126)(18, 113)(19, 154)(20, 156)(21, 122)(22, 131)(23, 115)(24, 141)(25, 149)(26, 123)(27, 136)(28, 117)(29, 148)(30, 139)(31, 155)(32, 161)(33, 119)(34, 128)(35, 152)(36, 134)(37, 157)(38, 129)(39, 158)(40, 153)(41, 124)(42, 145)(43, 127)(44, 160)(45, 137)(46, 151)(47, 138)(48, 142)(49, 150)(50, 162)(51, 140)(52, 143)(53, 159)(54, 147)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 4, 6, 4, 6 ), ( 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible
Dual of E10.573
Graph:: simple bipartite
	v = 45 e = 108 f = 45
	degree seq :: [ 4^27, 6^18 ]

E10.572 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 3})
Quotient :: dipole
Aut^+ = ((C3 x C3) : C3) : C2 (small group id <54, 5>)
Aut   = (((C3 x C3) : C3) : C2) : C2 (small group id <108, 17>)
|r| :: 2
Presentation :: [ Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, 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 * Y1 * Y2^-1)^3, (Y1 * Y2^-1)^6 ]
Map::
	R = (1, 55, 2, 56)(3, 57, 7, 61)(4, 58, 8, 62)(5, 59, 9, 63)(6, 60, 10, 64)(11, 65, 19, 73)(12, 66, 20, 74)(13, 67, 21, 75)(14, 68, 22, 76)(15, 69, 23, 77)(16, 70, 24, 78)(17, 71, 25, 79)(18, 72, 26, 80)(27, 81, 42, 96)(28, 82, 43, 97)(29, 83, 37, 91)(30, 84, 44, 98)(31, 85, 45, 99)(32, 86, 40, 94)(33, 87, 46, 100)(34, 88, 35, 89)(36, 90, 47, 101)(38, 92, 48, 102)(39, 93, 49, 103)(41, 95, 50, 104)(51, 105, 54, 108)(52, 106, 53, 107)(109, 163, 111, 165, 112, 166)(110, 164, 113, 167, 114, 168)(115, 169, 119, 173, 120, 174)(116, 170, 121, 175, 122, 176)(117, 171, 123, 177, 124, 178)(118, 172, 125, 179, 126, 180)(127, 181, 135, 189, 136, 190)(128, 182, 137, 191, 138, 192)(129, 183, 139, 193, 140, 194)(130, 184, 141, 195, 142, 196)(131, 185, 143, 197, 144, 198)(132, 186, 145, 199, 146, 200)(133, 187, 147, 201, 148, 202)(134, 188, 149, 203, 150, 204)(151, 205, 154, 208, 159, 213)(152, 206, 160, 214, 153, 207)(155, 209, 158, 212, 161, 215)(156, 210, 162, 216, 157, 211)
	L = (1, 109)(2, 110)(3, 111)(4, 112)(5, 113)(6, 114)(7, 115)(8, 116)(9, 117)(10, 118)(11, 119)(12, 120)(13, 121)(14, 122)(15, 123)(16, 124)(17, 125)(18, 126)(19, 127)(20, 128)(21, 129)(22, 130)(23, 131)(24, 132)(25, 133)(26, 134)(27, 135)(28, 136)(29, 137)(30, 138)(31, 139)(32, 140)(33, 141)(34, 142)(35, 143)(36, 144)(37, 145)(38, 146)(39, 147)(40, 148)(41, 149)(42, 150)(43, 151)(44, 152)(45, 153)(46, 154)(47, 155)(48, 156)(49, 157)(50, 158)(51, 159)(52, 160)(53, 161)(54, 162)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 4, 6, 4, 6 ), ( 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 45 e = 108 f = 45
	degree seq :: [ 4^27, 6^18 ]

E10.573 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 3})
Quotient :: dipole
Aut^+ = ((C3 x C3) : C3) : C2 (small group id <54, 5>)
Aut   = (((C3 x C3) : C3) : C2) : C2 (small group id <108, 17>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^3, Y3^3, (Y1 * Y3^-1)^2, (R * Y3)^2, (R * Y1)^2, Y3^-1 * Y2^-1 * Y1 * Y2 * Y1, (R * Y2 * Y3^-1)^2, R * Y1 * Y3 * R * Y1 * Y3^-1, (Y3^-1 * Y2^-1)^3, (Y3 * Y2^-1)^3 ]
Map:: polytopal non-degenerate
	R = (1, 55, 2, 56)(3, 57, 11, 65)(4, 58, 10, 64)(5, 59, 16, 70)(6, 60, 8, 62)(7, 61, 12, 66)(9, 63, 20, 74)(13, 67, 21, 75)(14, 68, 33, 87)(15, 69, 23, 77)(17, 71, 27, 81)(18, 72, 37, 91)(19, 73, 41, 95)(22, 76, 42, 96)(24, 78, 29, 83)(25, 79, 43, 97)(26, 80, 34, 88)(28, 82, 32, 86)(30, 84, 45, 99)(31, 85, 47, 101)(35, 89, 49, 103)(36, 90, 44, 98)(38, 92, 50, 104)(39, 93, 46, 100)(40, 94, 48, 102)(51, 105, 53, 107)(52, 106, 54, 108)(109, 163, 111, 165, 113, 167)(110, 164, 115, 169, 117, 171)(112, 166, 122, 176, 123, 177)(114, 168, 127, 181, 128, 182)(116, 170, 130, 184, 131, 185)(118, 172, 134, 188, 124, 178)(119, 173, 135, 189, 136, 190)(120, 174, 137, 191, 138, 192)(121, 175, 139, 193, 140, 194)(125, 179, 146, 200, 147, 201)(126, 180, 148, 202, 142, 196)(129, 183, 152, 206, 153, 207)(132, 186, 156, 210, 157, 211)(133, 187, 158, 212, 149, 203)(141, 195, 155, 209, 159, 213)(143, 197, 151, 205, 161, 215)(144, 198, 160, 214, 150, 204)(145, 199, 162, 216, 154, 208)
	L = (1, 112)(2, 116)(3, 120)(4, 114)(5, 125)(6, 109)(7, 119)(8, 118)(9, 132)(10, 110)(11, 129)(12, 121)(13, 111)(14, 142)(15, 139)(16, 145)(17, 126)(18, 113)(19, 150)(20, 151)(21, 115)(22, 149)(23, 152)(24, 133)(25, 117)(26, 141)(27, 124)(28, 158)(29, 128)(30, 148)(31, 144)(32, 161)(33, 157)(34, 143)(35, 122)(36, 123)(37, 135)(38, 140)(39, 127)(40, 160)(41, 154)(42, 147)(43, 137)(44, 155)(45, 162)(46, 130)(47, 131)(48, 153)(49, 134)(50, 159)(51, 136)(52, 138)(53, 146)(54, 156)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 4, 6, 4, 6 ), ( 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible
Dual of E10.571
Graph:: simple bipartite
	v = 45 e = 108 f = 45
	degree seq :: [ 4^27, 6^18 ]

E10.574 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 3})
Quotient :: dipole
Aut^+ = ((C3 x C3) : C3) : C2 (small group id <54, 5>)
Aut   = (((C3 x C3) : C3) : C2) : C2 (small group id <108, 17>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^3, Y3^3, (Y3 * Y1)^2, (R * Y3)^2, (R * Y1)^2, Y3 * Y1 * Y2 * Y1 * Y2^-1, (R * Y2 * Y3^-1)^2, (Y3 * Y2)^3, (Y3 * Y2^-1)^3, (Y2 * Y3^-1 * Y2^-1 * Y1)^2 ]
Map:: polyhedral non-degenerate
	R = (1, 55, 2, 56)(3, 57, 11, 65)(4, 58, 10, 64)(5, 59, 16, 70)(6, 60, 8, 62)(7, 61, 19, 73)(9, 63, 17, 71)(12, 66, 28, 82)(13, 67, 27, 81)(14, 68, 23, 77)(15, 69, 35, 89)(18, 72, 25, 79)(20, 74, 42, 96)(21, 75, 39, 93)(22, 76, 41, 95)(24, 78, 43, 97)(26, 80, 31, 85)(29, 83, 49, 103)(30, 84, 46, 100)(32, 86, 45, 99)(33, 87, 48, 102)(34, 88, 47, 101)(36, 90, 44, 98)(37, 91, 40, 94)(38, 92, 50, 104)(51, 105, 53, 107)(52, 106, 54, 108)(109, 163, 111, 165, 113, 167)(110, 164, 115, 169, 117, 171)(112, 166, 122, 176, 123, 177)(114, 168, 127, 181, 128, 182)(116, 170, 131, 185, 132, 186)(118, 172, 119, 173, 134, 188)(120, 174, 137, 191, 138, 192)(121, 175, 139, 193, 140, 194)(124, 178, 145, 199, 136, 190)(125, 179, 146, 200, 147, 201)(126, 180, 148, 202, 141, 195)(129, 183, 152, 206, 153, 207)(130, 184, 150, 204, 154, 208)(133, 187, 158, 212, 155, 209)(135, 189, 157, 211, 159, 213)(142, 196, 151, 205, 161, 215)(143, 197, 162, 216, 156, 210)(144, 198, 160, 214, 149, 203)
	L = (1, 112)(2, 116)(3, 120)(4, 114)(5, 125)(6, 109)(7, 129)(8, 118)(9, 124)(10, 110)(11, 135)(12, 121)(13, 111)(14, 141)(15, 139)(16, 133)(17, 126)(18, 113)(19, 149)(20, 151)(21, 130)(22, 115)(23, 155)(24, 150)(25, 117)(26, 143)(27, 136)(28, 119)(29, 128)(30, 148)(31, 144)(32, 161)(33, 142)(34, 122)(35, 152)(36, 123)(37, 154)(38, 140)(39, 127)(40, 160)(41, 147)(42, 157)(43, 137)(44, 134)(45, 158)(46, 162)(47, 156)(48, 131)(49, 132)(50, 159)(51, 153)(52, 138)(53, 146)(54, 145)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 4, 6, 4, 6 ), ( 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible selfdual
Graph:: simple bipartite
	v = 45 e = 108 f = 45
	degree seq :: [ 4^27, 6^18 ]

E10.575 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 3})
Quotient :: dipole
Aut^+ = ((C3 x C3) : C3) : C2 (small group id <54, 5>)
Aut   = (((C3 x C3) : C3) : C2) : C2 (small group id <108, 17>)
|r| :: 2
Presentation :: [ R^2, Y1^3, Y2^3, Y2 * Y3^2, (R * Y1)^2, (Y3 * Y1)^2, (R * Y3)^2, (R * Y2)^2, (Y3 * Y2^-1)^2, (Y2 * Y1^-1)^3, (Y1 * Y2)^3, (Y1 * Y2^-1)^3 ]
Map:: polytopal non-degenerate
	R = (1, 55, 2, 56, 5, 59)(3, 57, 12, 66, 13, 67)(4, 58, 15, 69, 16, 70)(6, 60, 20, 74, 21, 75)(7, 61, 22, 76, 9, 63)(8, 62, 23, 77, 24, 78)(10, 64, 26, 80, 27, 81)(11, 65, 28, 82, 18, 72)(14, 68, 35, 89, 30, 84)(17, 71, 40, 94, 38, 92)(19, 73, 41, 95, 29, 83)(25, 79, 49, 103, 46, 100)(31, 85, 43, 97, 50, 104)(32, 86, 52, 106, 33, 87)(34, 88, 48, 102, 42, 96)(36, 90, 53, 107, 54, 108)(37, 91, 47, 101, 44, 98)(39, 93, 51, 105, 45, 99)(109, 163, 111, 165, 114, 168)(110, 164, 116, 170, 118, 172)(112, 166, 115, 169, 122, 176)(113, 167, 125, 179, 127, 181)(117, 171, 119, 173, 133, 187)(120, 174, 137, 191, 139, 193)(121, 175, 134, 188, 142, 196)(123, 177, 144, 198, 126, 180)(124, 178, 145, 199, 147, 201)(128, 182, 150, 204, 146, 200)(129, 183, 151, 205, 131, 185)(130, 184, 153, 207, 141, 195)(132, 186, 149, 203, 156, 210)(135, 189, 158, 212, 148, 202)(136, 190, 160, 214, 155, 209)(138, 192, 140, 194, 161, 215)(143, 197, 154, 208, 152, 206)(157, 211, 162, 216, 159, 213)
	L = (1, 112)(2, 117)(3, 115)(4, 114)(5, 126)(6, 122)(7, 109)(8, 119)(9, 118)(10, 133)(11, 110)(12, 138)(13, 141)(14, 111)(15, 113)(16, 146)(17, 123)(18, 127)(19, 144)(20, 124)(21, 152)(22, 121)(23, 154)(24, 155)(25, 116)(26, 130)(27, 159)(28, 132)(29, 140)(30, 139)(31, 161)(32, 120)(33, 142)(34, 153)(35, 129)(36, 125)(37, 128)(38, 147)(39, 150)(40, 162)(41, 136)(42, 145)(43, 143)(44, 131)(45, 134)(46, 151)(47, 156)(48, 160)(49, 135)(50, 157)(51, 148)(52, 149)(53, 137)(54, 158)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 4^6 ) }
Outer automorphisms :: reflexible
Dual of E10.570
Graph:: simple bipartite
	v = 36 e = 108 f = 54
	degree seq :: [ 6^36 ]

E10.576 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 3})
Quotient :: dipole
Aut^+ = ((C3 x C3) : C3) : C2 (small group id <54, 8>)
Aut   = C2 x (((C3 x C3) : C3) : C2) (small group id <108, 28>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^3, Y3^3, (Y3 * Y1)^2, (R * Y3)^2, (R * Y1)^2, (Y1 * Y2^-1 * Y3^-1)^2, (R * Y2 * Y3^-1)^2, (Y3^-1 * Y2^-1)^3, (Y3 * Y2^-1)^3, Y3^-1 * Y2 * Y3 * Y2 * Y1 * Y2^-1 * Y1, Y1 * Y2 * Y3 * Y1 * Y3^-1 * Y2 * Y3^-1, Y2 * Y3^-1 * Y2^-1 * Y3 * Y2 * Y1 * Y2 * Y1 ]
Map:: polytopal non-degenerate
	R = (1, 55, 2, 56)(3, 57, 11, 65)(4, 58, 10, 64)(5, 59, 16, 70)(6, 60, 8, 62)(7, 61, 21, 75)(9, 63, 26, 80)(12, 66, 33, 87)(13, 67, 25, 79)(14, 68, 28, 82)(15, 69, 23, 77)(17, 71, 41, 95)(18, 72, 24, 78)(19, 73, 45, 99)(20, 74, 47, 101)(22, 76, 36, 90)(27, 81, 38, 92)(29, 83, 34, 88)(30, 84, 43, 97)(31, 85, 49, 103)(32, 86, 48, 102)(35, 89, 54, 108)(37, 91, 53, 107)(39, 93, 46, 100)(40, 94, 52, 106)(42, 96, 51, 105)(44, 98, 50, 104)(109, 163, 111, 165, 113, 167)(110, 164, 115, 169, 117, 171)(112, 166, 122, 176, 123, 177)(114, 168, 127, 181, 128, 182)(116, 170, 132, 186, 133, 187)(118, 172, 137, 191, 138, 192)(119, 173, 139, 193, 140, 194)(120, 174, 142, 196, 143, 197)(121, 175, 144, 198, 145, 199)(124, 178, 147, 201, 148, 202)(125, 179, 150, 204, 151, 205)(126, 180, 152, 206, 146, 200)(129, 183, 157, 211, 154, 208)(130, 184, 153, 207, 158, 212)(131, 185, 141, 195, 159, 213)(134, 188, 156, 210, 160, 214)(135, 189, 161, 215, 155, 209)(136, 190, 162, 216, 149, 203)
	L = (1, 112)(2, 116)(3, 120)(4, 114)(5, 125)(6, 109)(7, 130)(8, 118)(9, 135)(10, 110)(11, 133)(12, 121)(13, 111)(14, 146)(15, 144)(16, 132)(17, 126)(18, 113)(19, 154)(20, 156)(21, 123)(22, 131)(23, 115)(24, 149)(25, 141)(26, 122)(27, 136)(28, 117)(29, 140)(30, 147)(31, 158)(32, 155)(33, 119)(34, 128)(35, 152)(36, 129)(37, 160)(38, 134)(39, 153)(40, 161)(41, 124)(42, 145)(43, 127)(44, 157)(45, 138)(46, 151)(47, 137)(48, 142)(49, 143)(50, 162)(51, 148)(52, 150)(53, 159)(54, 139)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 4, 6, 4, 6 ), ( 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible selfdual
Graph:: simple bipartite
	v = 45 e = 108 f = 45
	degree seq :: [ 4^27, 6^18 ]

E10.577 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 3})
Quotient :: dipole
Aut^+ = C3 x ((C3 x C3) : C2) (small group id <54, 13>)
Aut   = ((C3 x C3) : C2) x S3 (small group id <108, 39>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^3, Y3^3, (Y3, Y2), (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, (Y3^-1 * Y1)^2, Y2 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2 * Y1 ]
Map:: polytopal non-degenerate
	R = (1, 55, 2, 56)(3, 57, 11, 65)(4, 58, 10, 64)(5, 59, 15, 69)(6, 60, 8, 62)(7, 61, 17, 71)(9, 63, 21, 75)(12, 66, 26, 80)(13, 67, 24, 78)(14, 68, 27, 81)(16, 70, 29, 83)(18, 72, 34, 88)(19, 73, 32, 86)(20, 74, 35, 89)(22, 76, 37, 91)(23, 77, 31, 85)(25, 79, 36, 90)(28, 82, 33, 87)(30, 84, 38, 92)(39, 93, 48, 102)(40, 94, 47, 101)(41, 95, 51, 105)(42, 96, 53, 107)(43, 97, 49, 103)(44, 98, 54, 108)(45, 99, 50, 104)(46, 100, 52, 106)(109, 163, 111, 165, 113, 167)(110, 164, 115, 169, 117, 171)(112, 166, 120, 174, 122, 176)(114, 168, 121, 175, 124, 178)(116, 170, 126, 180, 128, 182)(118, 172, 127, 181, 130, 184)(119, 173, 131, 185, 133, 187)(123, 177, 136, 190, 138, 192)(125, 179, 139, 193, 141, 195)(129, 183, 144, 198, 146, 200)(132, 186, 147, 201, 149, 203)(134, 188, 148, 202, 150, 204)(135, 189, 151, 205, 152, 206)(137, 191, 153, 207, 154, 208)(140, 194, 155, 209, 157, 211)(142, 196, 156, 210, 158, 212)(143, 197, 159, 213, 160, 214)(145, 199, 161, 215, 162, 216)
	L = (1, 112)(2, 116)(3, 120)(4, 114)(5, 122)(6, 109)(7, 126)(8, 118)(9, 128)(10, 110)(11, 132)(12, 121)(13, 111)(14, 124)(15, 137)(16, 113)(17, 140)(18, 127)(19, 115)(20, 130)(21, 145)(22, 117)(23, 147)(24, 134)(25, 149)(26, 119)(27, 123)(28, 153)(29, 135)(30, 154)(31, 155)(32, 142)(33, 157)(34, 125)(35, 129)(36, 161)(37, 143)(38, 162)(39, 148)(40, 131)(41, 150)(42, 133)(43, 136)(44, 138)(45, 151)(46, 152)(47, 156)(48, 139)(49, 158)(50, 141)(51, 144)(52, 146)(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, 6, 4, 6 ), ( 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible selfdual
Graph:: simple bipartite
	v = 45 e = 108 f = 45
	degree seq :: [ 4^27, 6^18 ]

E10.578 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {3, 6, 6})
Quotient :: edge
Aut^+ = ((C3 x C3) : C3) : C2 (small group id <54, 5>)
Aut   = (((C3 x C3) : C3) : C2) : C2 (small group id <108, 17>)
|r| :: 2
Presentation :: [ F^2, T1^3, (F * T2)^2, (F * T1)^2, T2^6, T2 * T1^-1 * T2^-2 * T1^-1 * T2 * T1, T2 * T1^-1 * T2 * T1 * T2^-2 * T1, T2 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2 * T1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 3, 9, 25, 15, 5)(2, 6, 17, 43, 21, 7)(4, 11, 30, 50, 34, 12)(8, 22, 48, 40, 20, 23)(10, 27, 52, 39, 32, 28)(13, 35, 18, 26, 51, 36)(14, 37, 29, 24, 49, 38)(16, 41, 53, 47, 33, 42)(19, 45, 31, 44, 54, 46)(55, 56, 58)(57, 62, 64)(59, 67, 68)(60, 70, 72)(61, 73, 74)(63, 78, 80)(65, 83, 85)(66, 86, 87)(69, 93, 94)(71, 76, 98)(75, 90, 101)(77, 96, 91)(79, 104, 97)(81, 84, 95)(82, 89, 99)(88, 100, 92)(102, 103, 107)(105, 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) :: { ( 12^3 ), ( 12^6 ) }
Outer automorphisms :: reflexible
Dual of E10.580
Transitivity :: ET+
Graph:: simple bipartite
	v = 27 e = 54 f = 9
	degree seq :: [ 3^18, 6^9 ]

E10.579 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {3, 6, 6})
Quotient :: edge
Aut^+ = ((C3 x C3) : C3) : C2 (small group id <54, 5>)
Aut   = (((C3 x C3) : C3) : C2) : C2 (small group id <108, 17>)
|r| :: 2
Presentation :: [ F^2, T1^3, (T2 * T1^-1)^2, (F * T2)^2, (F * T1)^2, T2^6, (T2^2 * T1)^3, (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, 47, 32, 18)(12, 23, 39, 52, 40, 24)(14, 26, 42, 53, 43, 27)(19, 33, 38, 51, 48, 34)(25, 35, 49, 44, 28, 41)(30, 45, 54, 50, 36, 46)(55, 56, 58)(57, 62, 61)(59, 64, 66)(60, 68, 65)(63, 73, 72)(67, 77, 79)(69, 82, 81)(70, 71, 84)(74, 89, 88)(75, 90, 78)(76, 80, 92)(83, 99, 98)(85, 94, 100)(86, 87, 96)(91, 105, 104)(93, 97, 95)(101, 107, 106)(102, 103, 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) :: { ( 12^3 ), ( 12^6 ) }
Outer automorphisms :: reflexible
Dual of E10.581
Transitivity :: ET+
Graph:: simple bipartite
	v = 27 e = 54 f = 9
	degree seq :: [ 3^18, 6^9 ]

E10.580 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {3, 6, 6})
Quotient :: loop
Aut^+ = ((C3 x C3) : C3) : C2 (small group id <54, 5>)
Aut   = (((C3 x C3) : C3) : C2) : C2 (small group id <108, 17>)
|r| :: 2
Presentation :: [ F^2, T1^3, (F * T2)^2, (F * T1)^2, T2^6, T2 * T1^-1 * T2^-2 * T1^-1 * T2 * T1, T2 * T1^-1 * T2 * T1 * T2^-2 * T1, T2 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2 * T1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 55, 3, 57, 9, 63, 25, 79, 15, 69, 5, 59)(2, 56, 6, 60, 17, 71, 43, 97, 21, 75, 7, 61)(4, 58, 11, 65, 30, 84, 50, 104, 34, 88, 12, 66)(8, 62, 22, 76, 48, 102, 40, 94, 20, 74, 23, 77)(10, 64, 27, 81, 52, 106, 39, 93, 32, 86, 28, 82)(13, 67, 35, 89, 18, 72, 26, 80, 51, 105, 36, 90)(14, 68, 37, 91, 29, 83, 24, 78, 49, 103, 38, 92)(16, 70, 41, 95, 53, 107, 47, 101, 33, 87, 42, 96)(19, 73, 45, 99, 31, 85, 44, 98, 54, 108, 46, 100)
	L = (1, 56)(2, 58)(3, 62)(4, 55)(5, 67)(6, 70)(7, 73)(8, 64)(9, 78)(10, 57)(11, 83)(12, 86)(13, 68)(14, 59)(15, 93)(16, 72)(17, 76)(18, 60)(19, 74)(20, 61)(21, 90)(22, 98)(23, 96)(24, 80)(25, 104)(26, 63)(27, 84)(28, 89)(29, 85)(30, 95)(31, 65)(32, 87)(33, 66)(34, 100)(35, 99)(36, 101)(37, 77)(38, 88)(39, 94)(40, 69)(41, 81)(42, 91)(43, 79)(44, 71)(45, 82)(46, 92)(47, 75)(48, 103)(49, 107)(50, 97)(51, 106)(52, 108)(53, 102)(54, 105)
	local type(s) :: { ( 3, 6, 3, 6, 3, 6, 3, 6, 3, 6, 3, 6 ) }
Outer automorphisms :: reflexible
Dual of E10.578
Transitivity :: ET+ VT+ AT
Graph::
	v = 9 e = 54 f = 27
	degree seq :: [ 12^9 ]

E10.581 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {3, 6, 6})
Quotient :: loop
Aut^+ = ((C3 x C3) : C3) : C2 (small group id <54, 5>)
Aut   = (((C3 x C3) : C3) : C2) : C2 (small group id <108, 17>)
|r| :: 2
Presentation :: [ F^2, T1^3, (T2 * T1^-1)^2, (F * T2)^2, (F * T1)^2, T2^6, (T2^2 * T1)^3, (T2^-1 * T1^-1)^6 ]
Map:: polytopal non-degenerate
	R = (1, 55, 3, 57, 9, 63, 20, 74, 13, 67, 5, 59)(2, 56, 6, 60, 15, 69, 29, 83, 16, 70, 7, 61)(4, 58, 10, 64, 21, 75, 37, 91, 22, 76, 11, 65)(8, 62, 17, 71, 31, 85, 47, 101, 32, 86, 18, 72)(12, 66, 23, 77, 39, 93, 52, 106, 40, 94, 24, 78)(14, 68, 26, 80, 42, 96, 53, 107, 43, 97, 27, 81)(19, 73, 33, 87, 38, 92, 51, 105, 48, 102, 34, 88)(25, 79, 35, 89, 49, 103, 44, 98, 28, 82, 41, 95)(30, 84, 45, 99, 54, 108, 50, 104, 36, 90, 46, 100)
	L = (1, 56)(2, 58)(3, 62)(4, 55)(5, 64)(6, 68)(7, 57)(8, 61)(9, 73)(10, 66)(11, 60)(12, 59)(13, 77)(14, 65)(15, 82)(16, 71)(17, 84)(18, 63)(19, 72)(20, 89)(21, 90)(22, 80)(23, 79)(24, 75)(25, 67)(26, 92)(27, 69)(28, 81)(29, 99)(30, 70)(31, 94)(32, 87)(33, 96)(34, 74)(35, 88)(36, 78)(37, 105)(38, 76)(39, 97)(40, 100)(41, 93)(42, 86)(43, 95)(44, 83)(45, 98)(46, 85)(47, 107)(48, 103)(49, 108)(50, 91)(51, 104)(52, 101)(53, 106)(54, 102)
	local type(s) :: { ( 3, 6, 3, 6, 3, 6, 3, 6, 3, 6, 3, 6 ) }
Outer automorphisms :: reflexible
Dual of E10.579
Transitivity :: ET+ VT+ AT
Graph::
	v = 9 e = 54 f = 27
	degree seq :: [ 12^9 ]

E10.582 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 6, 6})
Quotient :: dipole
Aut^+ = ((C3 x C3) : C3) : C2 (small group id <54, 5>)
Aut   = (((C3 x C3) : C3) : C2) : C2 (small group id <108, 17>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y3, Y3 * Y1^-2, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, Y2^6, Y1 * Y2^-1 * Y3 * Y2^-1 * Y3^-1 * Y2^2, Y1 * Y2 * Y3 * Y2^-2 * Y1^-1 * Y2, Y1 * Y2 * Y3 * Y2 * Y3^-1 * Y2^-2, Y2 * Y3 * Y2 * Y1 * Y2^-2 * Y3^-1, Y2 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y1^-1 * Y2 * Y1^-1, Y2 * Y3 * Y2 * Y3 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1, (Y2^-1 * Y1)^6 ]
Map::
	R = (1, 55, 2, 56, 4, 58)(3, 57, 8, 62, 10, 64)(5, 59, 13, 67, 14, 68)(6, 60, 16, 70, 18, 72)(7, 61, 19, 73, 20, 74)(9, 63, 24, 78, 26, 80)(11, 65, 29, 83, 31, 85)(12, 66, 32, 86, 33, 87)(15, 69, 39, 93, 40, 94)(17, 71, 22, 76, 44, 98)(21, 75, 36, 90, 47, 101)(23, 77, 42, 96, 37, 91)(25, 79, 50, 104, 43, 97)(27, 81, 30, 84, 41, 95)(28, 82, 35, 89, 45, 99)(34, 88, 46, 100, 38, 92)(48, 102, 49, 103, 53, 107)(51, 105, 52, 106, 54, 108)(109, 163, 111, 165, 117, 171, 133, 187, 123, 177, 113, 167)(110, 164, 114, 168, 125, 179, 151, 205, 129, 183, 115, 169)(112, 166, 119, 173, 138, 192, 158, 212, 142, 196, 120, 174)(116, 170, 130, 184, 156, 210, 148, 202, 128, 182, 131, 185)(118, 172, 135, 189, 160, 214, 147, 201, 140, 194, 136, 190)(121, 175, 143, 197, 126, 180, 134, 188, 159, 213, 144, 198)(122, 176, 145, 199, 137, 191, 132, 186, 157, 211, 146, 200)(124, 178, 149, 203, 161, 215, 155, 209, 141, 195, 150, 204)(127, 181, 153, 207, 139, 193, 152, 206, 162, 216, 154, 208)
	L = (1, 112)(2, 109)(3, 118)(4, 110)(5, 122)(6, 126)(7, 128)(8, 111)(9, 134)(10, 116)(11, 139)(12, 141)(13, 113)(14, 121)(15, 148)(16, 114)(17, 152)(18, 124)(19, 115)(20, 127)(21, 155)(22, 125)(23, 145)(24, 117)(25, 151)(26, 132)(27, 149)(28, 153)(29, 119)(30, 135)(31, 137)(32, 120)(33, 140)(34, 146)(35, 136)(36, 129)(37, 150)(38, 154)(39, 123)(40, 147)(41, 138)(42, 131)(43, 158)(44, 130)(45, 143)(46, 142)(47, 144)(48, 161)(49, 156)(50, 133)(51, 162)(52, 159)(53, 157)(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, 12, 2, 12, 2, 12 ), ( 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12 ) }
Outer automorphisms :: reflexible
Dual of E10.584
Graph:: bipartite
	v = 27 e = 108 f = 63
	degree seq :: [ 6^18, 12^9 ]

E10.583 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 6, 6})
Quotient :: dipole
Aut^+ = ((C3 x C3) : C3) : C2 (small group id <54, 5>)
Aut   = (((C3 x C3) : C3) : C2) : C2 (small group id <108, 17>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1^-1, Y3 * Y1^-1 * Y3, Y1^3, (Y2^-1 * Y3^-1)^2, (Y2 * Y1^-1)^2, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y2^6, Y2 * Y1 * Y2^2 * Y1 * Y2^2 * Y3^-1 * Y2, (Y3 * Y2^-1)^6 ]
Map::
	R = (1, 55, 2, 56, 4, 58)(3, 57, 8, 62, 7, 61)(5, 59, 10, 64, 12, 66)(6, 60, 14, 68, 11, 65)(9, 63, 19, 73, 18, 72)(13, 67, 23, 77, 25, 79)(15, 69, 28, 82, 27, 81)(16, 70, 17, 71, 30, 84)(20, 74, 35, 89, 34, 88)(21, 75, 36, 90, 24, 78)(22, 76, 26, 80, 38, 92)(29, 83, 45, 99, 44, 98)(31, 85, 40, 94, 46, 100)(32, 86, 33, 87, 42, 96)(37, 91, 51, 105, 50, 104)(39, 93, 43, 97, 41, 95)(47, 101, 53, 107, 52, 106)(48, 102, 49, 103, 54, 108)(109, 163, 111, 165, 117, 171, 128, 182, 121, 175, 113, 167)(110, 164, 114, 168, 123, 177, 137, 191, 124, 178, 115, 169)(112, 166, 118, 172, 129, 183, 145, 199, 130, 184, 119, 173)(116, 170, 125, 179, 139, 193, 155, 209, 140, 194, 126, 180)(120, 174, 131, 185, 147, 201, 160, 214, 148, 202, 132, 186)(122, 176, 134, 188, 150, 204, 161, 215, 151, 205, 135, 189)(127, 181, 141, 195, 146, 200, 159, 213, 156, 210, 142, 196)(133, 187, 143, 197, 157, 211, 152, 206, 136, 190, 149, 203)(138, 192, 153, 207, 162, 216, 158, 212, 144, 198, 154, 208)
	L = (1, 112)(2, 109)(3, 115)(4, 110)(5, 120)(6, 119)(7, 116)(8, 111)(9, 126)(10, 113)(11, 122)(12, 118)(13, 133)(14, 114)(15, 135)(16, 138)(17, 124)(18, 127)(19, 117)(20, 142)(21, 132)(22, 146)(23, 121)(24, 144)(25, 131)(26, 130)(27, 136)(28, 123)(29, 152)(30, 125)(31, 154)(32, 150)(33, 140)(34, 143)(35, 128)(36, 129)(37, 158)(38, 134)(39, 149)(40, 139)(41, 151)(42, 141)(43, 147)(44, 153)(45, 137)(46, 148)(47, 160)(48, 162)(49, 156)(50, 159)(51, 145)(52, 161)(53, 155)(54, 157)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 2, 12, 2, 12, 2, 12 ), ( 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12 ) }
Outer automorphisms :: reflexible
Dual of E10.585
Graph:: bipartite
	v = 27 e = 108 f = 63
	degree seq :: [ 6^18, 12^9 ]

E10.584 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 6, 6})
Quotient :: dipole
Aut^+ = ((C3 x C3) : C3) : C2 (small group id <54, 5>)
Aut   = (((C3 x C3) : C3) : C2) : C2 (small group id <108, 17>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, Y1^6, (Y3 * Y2^-1)^3, Y1 * Y3 * Y1^-2 * Y3 * Y1 * Y3^-1, Y1^2 * Y3 * Y1^-1 * Y3^-1 * Y1^-1 * Y3, Y3 * Y1^-1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1^-1 ]
Map:: polytopal
	R = (1, 55, 2, 56, 6, 60, 16, 70, 12, 66, 4, 58)(3, 57, 9, 63, 23, 77, 42, 96, 27, 81, 10, 64)(5, 59, 14, 68, 35, 89, 41, 95, 39, 93, 15, 69)(7, 61, 19, 73, 45, 99, 32, 86, 28, 82, 20, 74)(8, 62, 21, 75, 48, 102, 31, 85, 38, 92, 22, 76)(11, 65, 29, 83, 25, 79, 18, 72, 44, 98, 30, 84)(13, 67, 33, 87, 36, 90, 17, 71, 43, 97, 34, 88)(24, 78, 49, 103, 53, 107, 52, 106, 40, 94, 47, 101)(26, 80, 50, 104, 37, 91, 46, 100, 54, 108, 51, 105)(109, 163)(110, 164)(111, 165)(112, 166)(113, 167)(114, 168)(115, 169)(116, 170)(117, 171)(118, 172)(119, 173)(120, 174)(121, 175)(122, 176)(123, 177)(124, 178)(125, 179)(126, 180)(127, 181)(128, 182)(129, 183)(130, 184)(131, 185)(132, 186)(133, 187)(134, 188)(135, 189)(136, 190)(137, 191)(138, 192)(139, 193)(140, 194)(141, 195)(142, 196)(143, 197)(144, 198)(145, 199)(146, 200)(147, 201)(148, 202)(149, 203)(150, 204)(151, 205)(152, 206)(153, 207)(154, 208)(155, 209)(156, 210)(157, 211)(158, 212)(159, 213)(160, 214)(161, 215)(162, 216)
	L = (1, 111)(2, 115)(3, 113)(4, 119)(5, 109)(6, 125)(7, 116)(8, 110)(9, 132)(10, 134)(11, 121)(12, 139)(13, 112)(14, 144)(15, 146)(16, 149)(17, 126)(18, 114)(19, 154)(20, 155)(21, 143)(22, 137)(23, 127)(24, 133)(25, 117)(26, 136)(27, 138)(28, 118)(29, 158)(30, 160)(31, 140)(32, 120)(33, 128)(34, 147)(35, 157)(36, 145)(37, 122)(38, 148)(39, 159)(40, 123)(41, 150)(42, 124)(43, 161)(44, 156)(45, 151)(46, 131)(47, 141)(48, 162)(49, 129)(50, 130)(51, 142)(52, 135)(53, 153)(54, 152)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 6, 12 ), ( 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12 ) }
Outer automorphisms :: reflexible
Dual of E10.582
Graph:: simple bipartite
	v = 63 e = 108 f = 27
	degree seq :: [ 2^54, 12^9 ]

E10.585 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 6, 6})
Quotient :: dipole
Aut^+ = ((C3 x C3) : C3) : C2 (small group id <54, 5>)
Aut   = (((C3 x C3) : C3) : C2) : C2 (small group id <108, 17>)
|r| :: 2
Presentation :: [ Y2, R^2, Y3^3, (R * Y1)^2, (Y1^-1 * Y3)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, Y1^6, (Y3 * Y2^-1)^3, Y3 * Y1 * Y3 * Y1 * Y3^2 * Y1^2 * Y3, (Y1 * Y3 * Y1)^3, Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3 * Y1^2 * Y3 ]
Map:: polytopal
	R = (1, 55, 2, 56, 6, 60, 14, 68, 11, 65, 4, 58)(3, 57, 9, 63, 19, 73, 32, 86, 18, 72, 8, 62)(5, 59, 10, 64, 21, 75, 36, 90, 25, 79, 13, 67)(7, 61, 17, 71, 30, 84, 45, 99, 29, 83, 16, 70)(12, 66, 22, 76, 38, 92, 52, 106, 40, 94, 24, 78)(15, 69, 28, 82, 41, 95, 50, 104, 43, 97, 27, 81)(20, 74, 35, 89, 44, 98, 54, 108, 49, 103, 34, 88)(23, 77, 26, 80, 42, 96, 48, 102, 33, 87, 39, 93)(31, 85, 47, 101, 53, 107, 51, 105, 37, 91, 46, 100)(109, 163)(110, 164)(111, 165)(112, 166)(113, 167)(114, 168)(115, 169)(116, 170)(117, 171)(118, 172)(119, 173)(120, 174)(121, 175)(122, 176)(123, 177)(124, 178)(125, 179)(126, 180)(127, 181)(128, 182)(129, 183)(130, 184)(131, 185)(132, 186)(133, 187)(134, 188)(135, 189)(136, 190)(137, 191)(138, 192)(139, 193)(140, 194)(141, 195)(142, 196)(143, 197)(144, 198)(145, 199)(146, 200)(147, 201)(148, 202)(149, 203)(150, 204)(151, 205)(152, 206)(153, 207)(154, 208)(155, 209)(156, 210)(157, 211)(158, 212)(159, 213)(160, 214)(161, 215)(162, 216)
	L = (1, 111)(2, 115)(3, 113)(4, 118)(5, 109)(6, 123)(7, 116)(8, 110)(9, 128)(10, 120)(11, 130)(12, 112)(13, 117)(14, 134)(15, 124)(16, 114)(17, 139)(18, 125)(19, 141)(20, 121)(21, 145)(22, 131)(23, 119)(24, 129)(25, 143)(26, 135)(27, 122)(28, 152)(29, 136)(30, 148)(31, 126)(32, 155)(33, 142)(34, 127)(35, 149)(36, 158)(37, 132)(38, 157)(39, 146)(40, 154)(41, 133)(42, 161)(43, 150)(44, 137)(45, 162)(46, 138)(47, 156)(48, 140)(49, 147)(50, 159)(51, 144)(52, 153)(53, 151)(54, 160)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 6, 12 ), ( 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12 ) }
Outer automorphisms :: reflexible
Dual of E10.583
Graph:: simple bipartite
	v = 63 e = 108 f = 27
	degree seq :: [ 2^54, 12^9 ]

E10.586 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {3, 6, 6})
Quotient :: edge
Aut^+ = C2 x ((C3 x C3) : C3) (small group id <54, 10>)
Aut   = C2 x (((C3 x C3) : C3) : C2) (small group id <108, 28>)
|r| :: 2
Presentation :: [ F^2, T1^3, (F * T2)^2, (F * T1)^2, T2^6, T2 * T1 * T2^-2 * T1 * T2 * T1, T2^-1 * T1 * T2^2 * T1 * T2^-1 * T1, T2 * T1 * T2 * T1^-1 * T2^-1 * T1 * T2^-1 * T1^-1 ]
Map:: non-degenerate
	R = (1, 3, 9, 25, 15, 5)(2, 6, 17, 41, 21, 7)(4, 11, 30, 50, 34, 12)(8, 22, 48, 39, 33, 23)(10, 27, 52, 40, 19, 28)(13, 35, 31, 24, 49, 36)(14, 37, 16, 26, 51, 38)(18, 43, 54, 47, 32, 44)(20, 45, 29, 42, 53, 46)(55, 56, 58)(57, 62, 64)(59, 67, 68)(60, 70, 72)(61, 73, 74)(63, 78, 80)(65, 83, 85)(66, 86, 87)(69, 93, 94)(71, 81, 96)(75, 92, 101)(76, 84, 97)(77, 91, 99)(79, 95, 104)(82, 98, 89)(88, 100, 90)(102, 105, 107)(103, 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) :: { ( 12^3 ), ( 12^6 ) }
Outer automorphisms :: reflexible
Dual of E10.587
Transitivity :: ET+
Graph:: simple bipartite
	v = 27 e = 54 f = 9
	degree seq :: [ 3^18, 6^9 ]

E10.587 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {3, 6, 6})
Quotient :: loop
Aut^+ = C2 x ((C3 x C3) : C3) (small group id <54, 10>)
Aut   = C2 x (((C3 x C3) : C3) : C2) (small group id <108, 28>)
|r| :: 2
Presentation :: [ F^2, T1^3, (F * T2)^2, (F * T1)^2, T2^6, T2 * T1 * T2^-2 * T1 * T2 * T1, T2^-1 * T1 * T2^2 * T1 * T2^-1 * T1, T2 * T1 * T2 * T1^-1 * T2^-1 * T1 * T2^-1 * T1^-1 ]
Map:: non-degenerate
	R = (1, 55, 3, 57, 9, 63, 25, 79, 15, 69, 5, 59)(2, 56, 6, 60, 17, 71, 41, 95, 21, 75, 7, 61)(4, 58, 11, 65, 30, 84, 50, 104, 34, 88, 12, 66)(8, 62, 22, 76, 48, 102, 39, 93, 33, 87, 23, 77)(10, 64, 27, 81, 52, 106, 40, 94, 19, 73, 28, 82)(13, 67, 35, 89, 31, 85, 24, 78, 49, 103, 36, 90)(14, 68, 37, 91, 16, 70, 26, 80, 51, 105, 38, 92)(18, 72, 43, 97, 54, 108, 47, 101, 32, 86, 44, 98)(20, 74, 45, 99, 29, 83, 42, 96, 53, 107, 46, 100)
	L = (1, 56)(2, 58)(3, 62)(4, 55)(5, 67)(6, 70)(7, 73)(8, 64)(9, 78)(10, 57)(11, 83)(12, 86)(13, 68)(14, 59)(15, 93)(16, 72)(17, 81)(18, 60)(19, 74)(20, 61)(21, 92)(22, 84)(23, 91)(24, 80)(25, 95)(26, 63)(27, 96)(28, 98)(29, 85)(30, 97)(31, 65)(32, 87)(33, 66)(34, 100)(35, 82)(36, 88)(37, 99)(38, 101)(39, 94)(40, 69)(41, 104)(42, 71)(43, 76)(44, 89)(45, 77)(46, 90)(47, 75)(48, 105)(49, 106)(50, 79)(51, 107)(52, 108)(53, 102)(54, 103)
	local type(s) :: { ( 3, 6, 3, 6, 3, 6, 3, 6, 3, 6, 3, 6 ) }
Outer automorphisms :: reflexible
Dual of E10.586
Transitivity :: ET+ VT+ AT
Graph::
	v = 9 e = 54 f = 27
	degree seq :: [ 12^9 ]

E10.588 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 6, 6})
Quotient :: dipole
Aut^+ = C2 x ((C3 x C3) : C3) (small group id <54, 10>)
Aut   = C2 x (((C3 x C3) : C3) : C2) (small group id <108, 28>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1^-1, Y3 * Y1^-2, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, Y2^6, Y1 * Y2 * Y1 * Y2^-2 * Y3^-1 * Y2, Y2^-1 * Y3^-1 * Y2^-1 * Y1 * Y2^2 * Y1, Y1 * Y2 * Y1 * Y2 * Y3^-1 * Y2^-2, Y2 * Y1 * Y2^-1 * Y3 * Y2^-1 * Y3^-1 * Y2 * Y1^-1, Y2 * Y1 * Y2 * Y3 * Y2^-1 * Y3^-1 * Y2^-1 * Y1^-1, (Y3 * Y2^-1)^6 ]
Map::
	R = (1, 55, 2, 56, 4, 58)(3, 57, 8, 62, 10, 64)(5, 59, 13, 67, 14, 68)(6, 60, 16, 70, 18, 72)(7, 61, 19, 73, 20, 74)(9, 63, 24, 78, 26, 80)(11, 65, 29, 83, 31, 85)(12, 66, 32, 86, 33, 87)(15, 69, 39, 93, 40, 94)(17, 71, 27, 81, 42, 96)(21, 75, 38, 92, 47, 101)(22, 76, 30, 84, 43, 97)(23, 77, 37, 91, 45, 99)(25, 79, 41, 95, 50, 104)(28, 82, 44, 98, 35, 89)(34, 88, 46, 100, 36, 90)(48, 102, 51, 105, 53, 107)(49, 103, 52, 106, 54, 108)(109, 163, 111, 165, 117, 171, 133, 187, 123, 177, 113, 167)(110, 164, 114, 168, 125, 179, 149, 203, 129, 183, 115, 169)(112, 166, 119, 173, 138, 192, 158, 212, 142, 196, 120, 174)(116, 170, 130, 184, 156, 210, 147, 201, 141, 195, 131, 185)(118, 172, 135, 189, 160, 214, 148, 202, 127, 181, 136, 190)(121, 175, 143, 197, 139, 193, 132, 186, 157, 211, 144, 198)(122, 176, 145, 199, 124, 178, 134, 188, 159, 213, 146, 200)(126, 180, 151, 205, 162, 216, 155, 209, 140, 194, 152, 206)(128, 182, 153, 207, 137, 191, 150, 204, 161, 215, 154, 208)
	L = (1, 112)(2, 109)(3, 118)(4, 110)(5, 122)(6, 126)(7, 128)(8, 111)(9, 134)(10, 116)(11, 139)(12, 141)(13, 113)(14, 121)(15, 148)(16, 114)(17, 150)(18, 124)(19, 115)(20, 127)(21, 155)(22, 151)(23, 153)(24, 117)(25, 158)(26, 132)(27, 125)(28, 143)(29, 119)(30, 130)(31, 137)(32, 120)(33, 140)(34, 144)(35, 152)(36, 154)(37, 131)(38, 129)(39, 123)(40, 147)(41, 133)(42, 135)(43, 138)(44, 136)(45, 145)(46, 142)(47, 146)(48, 161)(49, 162)(50, 149)(51, 156)(52, 157)(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, 12, 2, 12, 2, 12 ), ( 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12 ) }
Outer automorphisms :: reflexible
Dual of E10.589
Graph:: bipartite
	v = 27 e = 108 f = 63
	degree seq :: [ 6^18, 12^9 ]

E10.589 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 6, 6})
Quotient :: dipole
Aut^+ = C2 x ((C3 x C3) : C3) (small group id <54, 10>)
Aut   = C2 x (((C3 x C3) : C3) : C2) (small group id <108, 28>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, Y1^6, (Y3 * Y2^-1)^3, Y1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1, Y1^2 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1, (Y1^-1, Y3^-1, Y1^-1) ]
Map::
	R = (1, 55, 2, 56, 6, 60, 16, 70, 12, 66, 4, 58)(3, 57, 9, 63, 23, 77, 41, 95, 27, 81, 10, 64)(5, 59, 14, 68, 35, 89, 42, 96, 39, 93, 15, 69)(7, 61, 19, 73, 45, 99, 31, 85, 40, 94, 20, 74)(8, 62, 21, 75, 48, 102, 32, 86, 26, 80, 22, 76)(11, 65, 29, 83, 37, 91, 17, 71, 43, 97, 30, 84)(13, 67, 33, 87, 24, 78, 18, 72, 44, 98, 34, 88)(25, 79, 46, 100, 53, 107, 51, 105, 38, 92, 50, 104)(28, 82, 47, 101, 36, 90, 49, 103, 54, 108, 52, 106)(109, 163)(110, 164)(111, 165)(112, 166)(113, 167)(114, 168)(115, 169)(116, 170)(117, 171)(118, 172)(119, 173)(120, 174)(121, 175)(122, 176)(123, 177)(124, 178)(125, 179)(126, 180)(127, 181)(128, 182)(129, 183)(130, 184)(131, 185)(132, 186)(133, 187)(134, 188)(135, 189)(136, 190)(137, 191)(138, 192)(139, 193)(140, 194)(141, 195)(142, 196)(143, 197)(144, 198)(145, 199)(146, 200)(147, 201)(148, 202)(149, 203)(150, 204)(151, 205)(152, 206)(153, 207)(154, 208)(155, 209)(156, 210)(157, 211)(158, 212)(159, 213)(160, 214)(161, 215)(162, 216)
	L = (1, 111)(2, 115)(3, 113)(4, 119)(5, 109)(6, 125)(7, 116)(8, 110)(9, 132)(10, 134)(11, 121)(12, 139)(13, 112)(14, 144)(15, 146)(16, 149)(17, 126)(18, 114)(19, 143)(20, 141)(21, 157)(22, 158)(23, 129)(24, 133)(25, 117)(26, 136)(27, 142)(28, 118)(29, 130)(30, 147)(31, 140)(32, 120)(33, 155)(34, 159)(35, 154)(36, 145)(37, 122)(38, 148)(39, 160)(40, 123)(41, 150)(42, 124)(43, 156)(44, 162)(45, 152)(46, 127)(47, 128)(48, 161)(49, 131)(50, 137)(51, 135)(52, 138)(53, 151)(54, 153)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 6, 12 ), ( 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12 ) }
Outer automorphisms :: reflexible
Dual of E10.588
Graph:: simple bipartite
	v = 63 e = 108 f = 27
	degree seq :: [ 2^54, 12^9 ]

E10.590 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {3, 6, 6})
Quotient :: edge
Aut^+ = C3 x C3 x S3 (small group id <54, 12>)
Aut   = ((C3 x C3) : C2) x S3 (small group id <108, 39>)
|r| :: 2
Presentation :: [ F^2, T1^3, (F * T2)^2, (F * T1)^2, T2 * T1 * T2^-2 * T1^-1 * T2, T2^6, T2^-1 * T1 * T2 * T1 * T2 * T1^-1 * T2^-1 * T1^-1, T2 * T1^-1 * T2^-1 * T1 * T2^-1 * T1 * T2 * T1^-1, T2^-1 * T1^-1 * T2^-2 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1 ]
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, 42, 33, 13, 23)(10, 26, 45, 34, 14, 27)(16, 35, 51, 40, 19, 36)(18, 38, 52, 41, 20, 39)(28, 43, 53, 49, 30, 44)(29, 47, 54, 50, 31, 48)(55, 56, 58)(57, 62, 64)(59, 67, 68)(60, 70, 72)(61, 73, 74)(63, 71, 79)(65, 82, 83)(66, 84, 85)(69, 75, 86)(76, 89, 97)(77, 90, 98)(78, 96, 99)(80, 92, 101)(81, 93, 102)(87, 94, 103)(88, 95, 104)(91, 105, 106)(100, 107, 108)
	L = (1, 55)(2, 56)(3, 57)(4, 58)(5, 59)(6, 60)(7, 61)(8, 62)(9, 63)(10, 64)(11, 65)(12, 66)(13, 67)(14, 68)(15, 69)(16, 70)(17, 71)(18, 72)(19, 73)(20, 74)(21, 75)(22, 76)(23, 77)(24, 78)(25, 79)(26, 80)(27, 81)(28, 82)(29, 83)(30, 84)(31, 85)(32, 86)(33, 87)(34, 88)(35, 89)(36, 90)(37, 91)(38, 92)(39, 93)(40, 94)(41, 95)(42, 96)(43, 97)(44, 98)(45, 99)(46, 100)(47, 101)(48, 102)(49, 103)(50, 104)(51, 105)(52, 106)(53, 107)(54, 108)
	local type(s) :: { ( 12^3 ), ( 12^6 ) }
Outer automorphisms :: reflexible
Dual of E10.591
Transitivity :: ET+
Graph:: simple bipartite
	v = 27 e = 54 f = 9
	degree seq :: [ 3^18, 6^9 ]

E10.591 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {3, 6, 6})
Quotient :: loop
Aut^+ = C3 x C3 x S3 (small group id <54, 12>)
Aut   = ((C3 x C3) : C2) x S3 (small group id <108, 39>)
|r| :: 2
Presentation :: [ F^2, T1^3, (F * T2)^2, (F * T1)^2, T2 * T1 * T2^-2 * T1^-1 * T2, T2^6, T2^-1 * T1 * T2 * T1 * T2 * T1^-1 * T2^-1 * T1^-1, T2 * T1^-1 * T2^-1 * T1 * T2^-1 * T1 * T2 * T1^-1, T2^-1 * T1^-1 * T2^-2 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1 ]
Map:: polytopal non-degenerate
	R = (1, 55, 3, 57, 9, 63, 24, 78, 15, 69, 5, 59)(2, 56, 6, 60, 17, 71, 37, 91, 21, 75, 7, 61)(4, 58, 11, 65, 25, 79, 46, 100, 32, 86, 12, 66)(8, 62, 22, 76, 42, 96, 33, 87, 13, 67, 23, 77)(10, 64, 26, 80, 45, 99, 34, 88, 14, 68, 27, 81)(16, 70, 35, 89, 51, 105, 40, 94, 19, 73, 36, 90)(18, 72, 38, 92, 52, 106, 41, 95, 20, 74, 39, 93)(28, 82, 43, 97, 53, 107, 49, 103, 30, 84, 44, 98)(29, 83, 47, 101, 54, 108, 50, 104, 31, 85, 48, 102)
	L = (1, 56)(2, 58)(3, 62)(4, 55)(5, 67)(6, 70)(7, 73)(8, 64)(9, 71)(10, 57)(11, 82)(12, 84)(13, 68)(14, 59)(15, 75)(16, 72)(17, 79)(18, 60)(19, 74)(20, 61)(21, 86)(22, 89)(23, 90)(24, 96)(25, 63)(26, 92)(27, 93)(28, 83)(29, 65)(30, 85)(31, 66)(32, 69)(33, 94)(34, 95)(35, 97)(36, 98)(37, 105)(38, 101)(39, 102)(40, 103)(41, 104)(42, 99)(43, 76)(44, 77)(45, 78)(46, 107)(47, 80)(48, 81)(49, 87)(50, 88)(51, 106)(52, 91)(53, 108)(54, 100)
	local type(s) :: { ( 3, 6, 3, 6, 3, 6, 3, 6, 3, 6, 3, 6 ) }
Outer automorphisms :: reflexible
Dual of E10.590
Transitivity :: ET+ VT+ AT
Graph::
	v = 9 e = 54 f = 27
	degree seq :: [ 12^9 ]

E10.592 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 6, 6})
Quotient :: dipole
Aut^+ = C3 x C3 x S3 (small group id <54, 12>)
Aut   = ((C3 x C3) : C2) x S3 (small group id <108, 39>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1^-1, Y1^3, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y2^2 * Y1 * Y2^-2 * Y1^-1, (Y2^-1 * R * Y2^-1)^2, Y2^6, Y3 * Y2^2 * Y3^-1 * Y2^-2, Y3 * Y2^-1 * Y1 * Y2 * Y3^-1 * Y2 * Y1^-1 * Y2^-1, Y2^-1 * Y3 * Y2 * Y1 * Y2 * Y3^-1 * Y2^-1 * Y1^-1, Y3 * Y2^-1 * Y3 * Y2 * Y3^-1 * Y2 * Y3^-1 * Y2^-1, Y2^-1 * Y1 * Y2 * Y1 * Y2 * Y1^-1 * Y2^-1 * Y1^-1, Y2^-1 * Y3 * Y2^-1 * Y3^2 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 ]
Map::
	R = (1, 55, 2, 56, 4, 58)(3, 57, 8, 62, 10, 64)(5, 59, 13, 67, 14, 68)(6, 60, 16, 70, 18, 72)(7, 61, 19, 73, 20, 74)(9, 63, 17, 71, 25, 79)(11, 65, 28, 82, 29, 83)(12, 66, 30, 84, 31, 85)(15, 69, 21, 75, 32, 86)(22, 76, 35, 89, 43, 97)(23, 77, 36, 90, 44, 98)(24, 78, 42, 96, 45, 99)(26, 80, 38, 92, 47, 101)(27, 81, 39, 93, 48, 102)(33, 87, 40, 94, 49, 103)(34, 88, 41, 95, 50, 104)(37, 91, 51, 105, 52, 106)(46, 100, 53, 107, 54, 108)(109, 163, 111, 165, 117, 171, 132, 186, 123, 177, 113, 167)(110, 164, 114, 168, 125, 179, 145, 199, 129, 183, 115, 169)(112, 166, 119, 173, 133, 187, 154, 208, 140, 194, 120, 174)(116, 170, 130, 184, 150, 204, 141, 195, 121, 175, 131, 185)(118, 172, 134, 188, 153, 207, 142, 196, 122, 176, 135, 189)(124, 178, 143, 197, 159, 213, 148, 202, 127, 181, 144, 198)(126, 180, 146, 200, 160, 214, 149, 203, 128, 182, 147, 201)(136, 190, 151, 205, 161, 215, 157, 211, 138, 192, 152, 206)(137, 191, 155, 209, 162, 216, 158, 212, 139, 193, 156, 210)
	L = (1, 112)(2, 109)(3, 118)(4, 110)(5, 122)(6, 126)(7, 128)(8, 111)(9, 133)(10, 116)(11, 137)(12, 139)(13, 113)(14, 121)(15, 140)(16, 114)(17, 117)(18, 124)(19, 115)(20, 127)(21, 123)(22, 151)(23, 152)(24, 153)(25, 125)(26, 155)(27, 156)(28, 119)(29, 136)(30, 120)(31, 138)(32, 129)(33, 157)(34, 158)(35, 130)(36, 131)(37, 160)(38, 134)(39, 135)(40, 141)(41, 142)(42, 132)(43, 143)(44, 144)(45, 150)(46, 162)(47, 146)(48, 147)(49, 148)(50, 149)(51, 145)(52, 159)(53, 154)(54, 161)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 2, 12, 2, 12, 2, 12 ), ( 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12 ) }
Outer automorphisms :: reflexible
Dual of E10.593
Graph:: bipartite
	v = 27 e = 108 f = 63
	degree seq :: [ 6^18, 12^9 ]

E10.593 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 6, 6})
Quotient :: dipole
Aut^+ = C3 x C3 x S3 (small group id <54, 12>)
Aut   = ((C3 x C3) : C2) x S3 (small group id <108, 39>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, Y3 * Y1^2 * Y3^-1 * Y1^-2, Y1^6, (Y3 * Y2^-1)^3, Y3 * Y1^-1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3 * Y1^-1, (Y3^-1 * Y1^-1)^6 ]
Map:: polytopal
	R = (1, 55, 2, 56, 6, 60, 16, 70, 12, 66, 4, 58)(3, 57, 9, 63, 17, 71, 37, 91, 26, 80, 10, 64)(5, 59, 14, 68, 18, 72, 38, 92, 29, 83, 15, 69)(7, 61, 19, 73, 35, 89, 28, 82, 11, 65, 20, 74)(8, 62, 21, 75, 36, 90, 30, 84, 13, 67, 22, 76)(23, 77, 39, 93, 51, 105, 47, 101, 25, 79, 41, 95)(24, 78, 43, 97, 52, 106, 48, 102, 27, 81, 45, 99)(31, 85, 40, 94, 53, 107, 49, 103, 33, 87, 42, 96)(32, 86, 44, 98, 54, 108, 50, 104, 34, 88, 46, 100)(109, 163)(110, 164)(111, 165)(112, 166)(113, 167)(114, 168)(115, 169)(116, 170)(117, 171)(118, 172)(119, 173)(120, 174)(121, 175)(122, 176)(123, 177)(124, 178)(125, 179)(126, 180)(127, 181)(128, 182)(129, 183)(130, 184)(131, 185)(132, 186)(133, 187)(134, 188)(135, 189)(136, 190)(137, 191)(138, 192)(139, 193)(140, 194)(141, 195)(142, 196)(143, 197)(144, 198)(145, 199)(146, 200)(147, 201)(148, 202)(149, 203)(150, 204)(151, 205)(152, 206)(153, 207)(154, 208)(155, 209)(156, 210)(157, 211)(158, 212)(159, 213)(160, 214)(161, 215)(162, 216)
	L = (1, 111)(2, 115)(3, 113)(4, 119)(5, 109)(6, 125)(7, 116)(8, 110)(9, 131)(10, 133)(11, 121)(12, 134)(13, 112)(14, 139)(15, 141)(16, 143)(17, 126)(18, 114)(19, 147)(20, 149)(21, 151)(22, 153)(23, 132)(24, 117)(25, 135)(26, 137)(27, 118)(28, 155)(29, 120)(30, 156)(31, 140)(32, 122)(33, 142)(34, 123)(35, 144)(36, 124)(37, 159)(38, 161)(39, 148)(40, 127)(41, 150)(42, 128)(43, 152)(44, 129)(45, 154)(46, 130)(47, 157)(48, 158)(49, 136)(50, 138)(51, 160)(52, 145)(53, 162)(54, 146)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 6, 12 ), ( 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12 ) }
Outer automorphisms :: reflexible
Dual of E10.592
Graph:: simple bipartite
	v = 63 e = 108 f = 27
	degree seq :: [ 2^54, 12^9 ]

E10.594 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 9, 18})
Quotient :: regular
Aut^+ = C9 x S3 (small group id <54, 4>)
Aut   = S3 x D18 (small group id <108, 16>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T1^-1 * T2 * T1^2 * T2 * T1^-1, T2 * T1 * T2 * T1^-1 * T2 * T1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1, T2 * T1^-3 * T2 * T1^-5 * T2 * T1^-1 ]
Map:: non-degenerate
	R = (1, 2, 5, 11, 20, 32, 47, 41, 54, 40, 53, 39, 52, 46, 31, 19, 10, 4)(3, 7, 12, 22, 33, 49, 44, 29, 38, 24, 37, 23, 36, 50, 43, 28, 17, 8)(6, 13, 21, 34, 48, 42, 27, 16, 26, 15, 25, 35, 51, 45, 30, 18, 9, 14)
	L = (1, 3)(2, 6)(4, 9)(5, 12)(7, 15)(8, 16)(10, 17)(11, 21)(13, 23)(14, 24)(18, 29)(19, 30)(20, 33)(22, 35)(25, 39)(26, 40)(27, 41)(28, 42)(31, 43)(32, 48)(34, 50)(36, 52)(37, 53)(38, 54)(44, 47)(45, 49)(46, 51)
	local type(s) :: { ( 9^18 ) }
Outer automorphisms :: reflexible
Dual of E10.595
Transitivity :: ET+ VT+ AT+ REG+
Graph::
	v = 3 e = 27 f = 6
	degree seq :: [ 18^3 ]

E10.595 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 9, 18})
Quotient :: regular
Aut^+ = C9 x S3 (small group id <54, 4>)
Aut   = S3 x D18 (small group id <108, 16>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T2 * T1^3 * T2 * T1^-3, T2 * T1^-1 * T2 * T1 * T2 * T1 * T2 * T1^-1, T1^9 ]
Map:: non-degenerate
	R = (1, 2, 5, 11, 23, 38, 22, 10, 4)(3, 7, 15, 24, 40, 48, 35, 18, 8)(6, 13, 27, 39, 50, 37, 21, 30, 14)(9, 19, 26, 12, 25, 41, 49, 36, 20)(16, 28, 42, 51, 54, 47, 34, 45, 32)(17, 29, 43, 31, 44, 52, 53, 46, 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, 39)(25, 42)(26, 43)(27, 44)(30, 45)(36, 47)(37, 46)(38, 49)(40, 51)(41, 52)(48, 53)(50, 54)
	local type(s) :: { ( 18^9 ) }
Outer automorphisms :: reflexible
Dual of E10.594
Transitivity :: ET+ VT+ AT+ REG+
Graph:: bipartite
	v = 6 e = 27 f = 3
	degree seq :: [ 9^6 ]

E10.596 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 9, 18})
Quotient :: edge
Aut^+ = C9 x S3 (small group id <54, 4>)
Aut   = S3 x D18 (small group id <108, 16>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, T1 * T2^-1 * T1 * T2 * T1 * T2 * T1 * T2^-1, T2^-1 * T1 * T2^3 * T1 * T2^-2, T2^9 ]
Map::
	R = (1, 3, 8, 18, 35, 38, 22, 10, 4)(2, 5, 12, 26, 43, 46, 30, 14, 6)(7, 15, 31, 47, 50, 37, 21, 32, 16)(9, 19, 34, 17, 33, 48, 49, 36, 20)(11, 23, 39, 51, 54, 45, 29, 40, 24)(13, 27, 42, 25, 41, 52, 53, 44, 28)(55, 56)(57, 61)(58, 63)(59, 65)(60, 67)(62, 71)(64, 75)(66, 79)(68, 83)(69, 77)(70, 81)(72, 80)(73, 78)(74, 82)(76, 84)(85, 95)(86, 94)(87, 93)(88, 96)(89, 101)(90, 99)(91, 98)(92, 103)(97, 105)(100, 107)(102, 106)(104, 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) :: { ( 36, 36 ), ( 36^9 ) }
Outer automorphisms :: reflexible
Dual of E10.600
Transitivity :: ET+
Graph:: simple bipartite
	v = 33 e = 54 f = 3
	degree seq :: [ 2^27, 9^6 ]

E10.597 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 9, 18})
Quotient :: edge
Aut^+ = C9 x S3 (small group id <54, 4>)
Aut   = S3 x D18 (small group id <108, 16>)
|r| :: 2
Presentation :: [ F^2, (T2 * T1)^2, (F * T1)^2, (F * T2)^2, T2^-2 * T1 * T2^2 * T1^-1, T1^-1 * T2^-1 * T1^2 * T2^-1 * T1^-3, T2^-1 * T1^2 * T2^-4 * T1 * T2^-1, T2^-1 * T1^2 * T2^-1 * T1^5, T2^18 ]
Map:: polytopal non-degenerate
	R = (1, 3, 10, 25, 47, 36, 16, 35, 53, 38, 54, 42, 31, 52, 44, 21, 15, 5)(2, 7, 19, 11, 27, 48, 34, 32, 46, 23, 45, 29, 13, 30, 50, 39, 22, 8)(4, 12, 26, 49, 40, 18, 6, 17, 37, 20, 41, 28, 51, 43, 33, 14, 24, 9)(55, 56, 60, 70, 88, 105, 85, 67, 58)(57, 63, 77, 89, 72, 93, 106, 82, 65)(59, 68, 86, 90, 103, 84, 96, 74, 61)(62, 75, 97, 102, 79, 66, 83, 92, 71)(64, 73, 91, 107, 100, 87, 98, 104, 80)(69, 76, 94, 101, 81, 95, 108, 99, 78)
	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) :: { ( 4^9 ), ( 4^18 ) }
Outer automorphisms :: reflexible
Dual of E10.601
Transitivity :: ET+
Graph:: bipartite
	v = 9 e = 54 f = 27
	degree seq :: [ 9^6, 18^3 ]

E10.598 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 9, 18})
Quotient :: edge
Aut^+ = C9 x S3 (small group id <54, 4>)
Aut   = S3 x D18 (small group id <108, 16>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T1^-1 * T2 * T1^2 * T2 * T1^-1, T2 * T1 * T2 * T1^-1 * T2 * T1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1, T2 * T1^-3 * T2 * T1^-5 * T2 * T1^-1 ]
Map::
	R = (1, 3)(2, 6)(4, 9)(5, 12)(7, 15)(8, 16)(10, 17)(11, 21)(13, 23)(14, 24)(18, 29)(19, 30)(20, 33)(22, 35)(25, 39)(26, 40)(27, 41)(28, 42)(31, 43)(32, 48)(34, 50)(36, 52)(37, 53)(38, 54)(44, 47)(45, 49)(46, 51)(55, 56, 59, 65, 74, 86, 101, 95, 108, 94, 107, 93, 106, 100, 85, 73, 64, 58)(57, 61, 66, 76, 87, 103, 98, 83, 92, 78, 91, 77, 90, 104, 97, 82, 71, 62)(60, 67, 75, 88, 102, 96, 81, 70, 80, 69, 79, 89, 105, 99, 84, 72, 63, 68)
	L = (1, 55)(2, 56)(3, 57)(4, 58)(5, 59)(6, 60)(7, 61)(8, 62)(9, 63)(10, 64)(11, 65)(12, 66)(13, 67)(14, 68)(15, 69)(16, 70)(17, 71)(18, 72)(19, 73)(20, 74)(21, 75)(22, 76)(23, 77)(24, 78)(25, 79)(26, 80)(27, 81)(28, 82)(29, 83)(30, 84)(31, 85)(32, 86)(33, 87)(34, 88)(35, 89)(36, 90)(37, 91)(38, 92)(39, 93)(40, 94)(41, 95)(42, 96)(43, 97)(44, 98)(45, 99)(46, 100)(47, 101)(48, 102)(49, 103)(50, 104)(51, 105)(52, 106)(53, 107)(54, 108)
	local type(s) :: { ( 18, 18 ), ( 18^18 ) }
Outer automorphisms :: reflexible
Dual of E10.599
Transitivity :: ET+
Graph:: simple bipartite
	v = 30 e = 54 f = 6
	degree seq :: [ 2^27, 18^3 ]

E10.599 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 9, 18})
Quotient :: loop
Aut^+ = C9 x S3 (small group id <54, 4>)
Aut   = S3 x D18 (small group id <108, 16>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, T1 * T2^-1 * T1 * T2 * T1 * T2 * T1 * T2^-1, T2^-1 * T1 * T2^3 * T1 * T2^-2, T2^9 ]
Map::
	R = (1, 55, 3, 57, 8, 62, 18, 72, 35, 89, 38, 92, 22, 76, 10, 64, 4, 58)(2, 56, 5, 59, 12, 66, 26, 80, 43, 97, 46, 100, 30, 84, 14, 68, 6, 60)(7, 61, 15, 69, 31, 85, 47, 101, 50, 104, 37, 91, 21, 75, 32, 86, 16, 70)(9, 63, 19, 73, 34, 88, 17, 71, 33, 87, 48, 102, 49, 103, 36, 90, 20, 74)(11, 65, 23, 77, 39, 93, 51, 105, 54, 108, 45, 99, 29, 83, 40, 94, 24, 78)(13, 67, 27, 81, 42, 96, 25, 79, 41, 95, 52, 106, 53, 107, 44, 98, 28, 82)
	L = (1, 56)(2, 55)(3, 61)(4, 63)(5, 65)(6, 67)(7, 57)(8, 71)(9, 58)(10, 75)(11, 59)(12, 79)(13, 60)(14, 83)(15, 77)(16, 81)(17, 62)(18, 80)(19, 78)(20, 82)(21, 64)(22, 84)(23, 69)(24, 73)(25, 66)(26, 72)(27, 70)(28, 74)(29, 68)(30, 76)(31, 95)(32, 94)(33, 93)(34, 96)(35, 101)(36, 99)(37, 98)(38, 103)(39, 87)(40, 86)(41, 85)(42, 88)(43, 105)(44, 91)(45, 90)(46, 107)(47, 89)(48, 106)(49, 92)(50, 108)(51, 97)(52, 102)(53, 100)(54, 104)
	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 E10.598
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 6 e = 54 f = 30
	degree seq :: [ 18^6 ]

E10.600 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 9, 18})
Quotient :: loop
Aut^+ = C9 x S3 (small group id <54, 4>)
Aut   = S3 x D18 (small group id <108, 16>)
|r| :: 2
Presentation :: [ F^2, (T2 * T1)^2, (F * T1)^2, (F * T2)^2, T2^-2 * T1 * T2^2 * T1^-1, T1^-1 * T2^-1 * T1^2 * T2^-1 * T1^-3, T2^-1 * T1^2 * T2^-4 * T1 * T2^-1, T2^-1 * T1^2 * T2^-1 * T1^5, T2^18 ]
Map::
	R = (1, 55, 3, 57, 10, 64, 25, 79, 47, 101, 36, 90, 16, 70, 35, 89, 53, 107, 38, 92, 54, 108, 42, 96, 31, 85, 52, 106, 44, 98, 21, 75, 15, 69, 5, 59)(2, 56, 7, 61, 19, 73, 11, 65, 27, 81, 48, 102, 34, 88, 32, 86, 46, 100, 23, 77, 45, 99, 29, 83, 13, 67, 30, 84, 50, 104, 39, 93, 22, 76, 8, 62)(4, 58, 12, 66, 26, 80, 49, 103, 40, 94, 18, 72, 6, 60, 17, 71, 37, 91, 20, 74, 41, 95, 28, 82, 51, 105, 43, 97, 33, 87, 14, 68, 24, 78, 9, 63)
	L = (1, 56)(2, 60)(3, 63)(4, 55)(5, 68)(6, 70)(7, 59)(8, 75)(9, 77)(10, 73)(11, 57)(12, 83)(13, 58)(14, 86)(15, 76)(16, 88)(17, 62)(18, 93)(19, 91)(20, 61)(21, 97)(22, 94)(23, 89)(24, 69)(25, 66)(26, 64)(27, 95)(28, 65)(29, 92)(30, 96)(31, 67)(32, 90)(33, 98)(34, 105)(35, 72)(36, 103)(37, 107)(38, 71)(39, 106)(40, 101)(41, 108)(42, 74)(43, 102)(44, 104)(45, 78)(46, 87)(47, 81)(48, 79)(49, 84)(50, 80)(51, 85)(52, 82)(53, 100)(54, 99)
	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 E10.596
Transitivity :: ET+ VT+ AT
Graph::
	v = 3 e = 54 f = 33
	degree seq :: [ 36^3 ]

E10.601 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 9, 18})
Quotient :: loop
Aut^+ = C9 x S3 (small group id <54, 4>)
Aut   = S3 x D18 (small group id <108, 16>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T1^-1 * T2 * T1^2 * T2 * T1^-1, T2 * T1 * T2 * T1^-1 * T2 * T1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1, T2 * T1^-3 * T2 * T1^-5 * T2 * T1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 55, 3, 57)(2, 56, 6, 60)(4, 58, 9, 63)(5, 59, 12, 66)(7, 61, 15, 69)(8, 62, 16, 70)(10, 64, 17, 71)(11, 65, 21, 75)(13, 67, 23, 77)(14, 68, 24, 78)(18, 72, 29, 83)(19, 73, 30, 84)(20, 74, 33, 87)(22, 76, 35, 89)(25, 79, 39, 93)(26, 80, 40, 94)(27, 81, 41, 95)(28, 82, 42, 96)(31, 85, 43, 97)(32, 86, 48, 102)(34, 88, 50, 104)(36, 90, 52, 106)(37, 91, 53, 107)(38, 92, 54, 108)(44, 98, 47, 101)(45, 99, 49, 103)(46, 100, 51, 105)
	L = (1, 56)(2, 59)(3, 61)(4, 55)(5, 65)(6, 67)(7, 66)(8, 57)(9, 68)(10, 58)(11, 74)(12, 76)(13, 75)(14, 60)(15, 79)(16, 80)(17, 62)(18, 63)(19, 64)(20, 86)(21, 88)(22, 87)(23, 90)(24, 91)(25, 89)(26, 69)(27, 70)(28, 71)(29, 92)(30, 72)(31, 73)(32, 101)(33, 103)(34, 102)(35, 105)(36, 104)(37, 77)(38, 78)(39, 106)(40, 107)(41, 108)(42, 81)(43, 82)(44, 83)(45, 84)(46, 85)(47, 95)(48, 96)(49, 98)(50, 97)(51, 99)(52, 100)(53, 93)(54, 94)
	local type(s) :: { ( 9, 18, 9, 18 ) }
Outer automorphisms :: reflexible
Dual of E10.597
Transitivity :: ET+ VT+ AT
Graph:: simple
	v = 27 e = 54 f = 9
	degree seq :: [ 4^27 ]

E10.602 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 9, 18})
Quotient :: dipole
Aut^+ = C9 x S3 (small group id <54, 4>)
Aut   = S3 x D18 (small group id <108, 16>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, (Y2^-1 * R * Y2^-2)^2, Y2^-1 * Y1 * Y2^3 * Y1 * Y2^-2, Y1 * Y2^-1 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2^-1, Y2^9, (Y3 * Y2^-1)^18 ]
Map::
	R = (1, 55, 2, 56)(3, 57, 7, 61)(4, 58, 9, 63)(5, 59, 11, 65)(6, 60, 13, 67)(8, 62, 17, 71)(10, 64, 21, 75)(12, 66, 25, 79)(14, 68, 29, 83)(15, 69, 23, 77)(16, 70, 27, 81)(18, 72, 26, 80)(19, 73, 24, 78)(20, 74, 28, 82)(22, 76, 30, 84)(31, 85, 41, 95)(32, 86, 40, 94)(33, 87, 39, 93)(34, 88, 42, 96)(35, 89, 47, 101)(36, 90, 45, 99)(37, 91, 44, 98)(38, 92, 49, 103)(43, 97, 51, 105)(46, 100, 53, 107)(48, 102, 52, 106)(50, 104, 54, 108)(109, 163, 111, 165, 116, 170, 126, 180, 143, 197, 146, 200, 130, 184, 118, 172, 112, 166)(110, 164, 113, 167, 120, 174, 134, 188, 151, 205, 154, 208, 138, 192, 122, 176, 114, 168)(115, 169, 123, 177, 139, 193, 155, 209, 158, 212, 145, 199, 129, 183, 140, 194, 124, 178)(117, 171, 127, 181, 142, 196, 125, 179, 141, 195, 156, 210, 157, 211, 144, 198, 128, 182)(119, 173, 131, 185, 147, 201, 159, 213, 162, 216, 153, 207, 137, 191, 148, 202, 132, 186)(121, 175, 135, 189, 150, 204, 133, 187, 149, 203, 160, 214, 161, 215, 152, 206, 136, 190)
	L = (1, 110)(2, 109)(3, 115)(4, 117)(5, 119)(6, 121)(7, 111)(8, 125)(9, 112)(10, 129)(11, 113)(12, 133)(13, 114)(14, 137)(15, 131)(16, 135)(17, 116)(18, 134)(19, 132)(20, 136)(21, 118)(22, 138)(23, 123)(24, 127)(25, 120)(26, 126)(27, 124)(28, 128)(29, 122)(30, 130)(31, 149)(32, 148)(33, 147)(34, 150)(35, 155)(36, 153)(37, 152)(38, 157)(39, 141)(40, 140)(41, 139)(42, 142)(43, 159)(44, 145)(45, 144)(46, 161)(47, 143)(48, 160)(49, 146)(50, 162)(51, 151)(52, 156)(53, 154)(54, 158)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 2, 36, 2, 36 ), ( 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36 ) }
Outer automorphisms :: reflexible
Dual of E10.605
Graph:: bipartite
	v = 33 e = 108 f = 57
	degree seq :: [ 4^27, 18^6 ]

E10.603 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 9, 18})
Quotient :: dipole
Aut^+ = C9 x S3 (small group id <54, 4>)
Aut   = S3 x D18 (small group id <108, 16>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, (Y2^-1 * Y1^-1)^2, (R * Y1)^2, (R * Y3)^2, (Y3^-1 * Y1^-1)^2, Y2^-2 * Y1 * Y2^2 * Y1^-1, Y1^-2 * Y2^-1 * Y1^2 * Y2^-1 * Y1^-2, Y2^-1 * Y1^2 * Y2^-4 * Y1 * Y2^-1, Y2^-1 * Y1^2 * Y2^-1 * Y1^5, Y2^18 ]
Map::
	R = (1, 55, 2, 56, 6, 60, 16, 70, 34, 88, 51, 105, 31, 85, 13, 67, 4, 58)(3, 57, 9, 63, 23, 77, 35, 89, 18, 72, 39, 93, 52, 106, 28, 82, 11, 65)(5, 59, 14, 68, 32, 86, 36, 90, 49, 103, 30, 84, 42, 96, 20, 74, 7, 61)(8, 62, 21, 75, 43, 97, 48, 102, 25, 79, 12, 66, 29, 83, 38, 92, 17, 71)(10, 64, 19, 73, 37, 91, 53, 107, 46, 100, 33, 87, 44, 98, 50, 104, 26, 80)(15, 69, 22, 76, 40, 94, 47, 101, 27, 81, 41, 95, 54, 108, 45, 99, 24, 78)(109, 163, 111, 165, 118, 172, 133, 187, 155, 209, 144, 198, 124, 178, 143, 197, 161, 215, 146, 200, 162, 216, 150, 204, 139, 193, 160, 214, 152, 206, 129, 183, 123, 177, 113, 167)(110, 164, 115, 169, 127, 181, 119, 173, 135, 189, 156, 210, 142, 196, 140, 194, 154, 208, 131, 185, 153, 207, 137, 191, 121, 175, 138, 192, 158, 212, 147, 201, 130, 184, 116, 170)(112, 166, 120, 174, 134, 188, 157, 211, 148, 202, 126, 180, 114, 168, 125, 179, 145, 199, 128, 182, 149, 203, 136, 190, 159, 213, 151, 205, 141, 195, 122, 176, 132, 186, 117, 171)
	L = (1, 111)(2, 115)(3, 118)(4, 120)(5, 109)(6, 125)(7, 127)(8, 110)(9, 112)(10, 133)(11, 135)(12, 134)(13, 138)(14, 132)(15, 113)(16, 143)(17, 145)(18, 114)(19, 119)(20, 149)(21, 123)(22, 116)(23, 153)(24, 117)(25, 155)(26, 157)(27, 156)(28, 159)(29, 121)(30, 158)(31, 160)(32, 154)(33, 122)(34, 140)(35, 161)(36, 124)(37, 128)(38, 162)(39, 130)(40, 126)(41, 136)(42, 139)(43, 141)(44, 129)(45, 137)(46, 131)(47, 144)(48, 142)(49, 148)(50, 147)(51, 151)(52, 152)(53, 146)(54, 150)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4 ), ( 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 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 E10.604
Graph:: bipartite
	v = 9 e = 108 f = 81
	degree seq :: [ 18^6, 36^3 ]

E10.604 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 9, 18})
Quotient :: dipole
Aut^+ = C9 x S3 (small group id <54, 4>)
Aut   = S3 x D18 (small group id <108, 16>)
|r| :: 2
Presentation :: [ Y1, Y2^2, R^2, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y3^-2 * Y2 * Y3^2 * Y2, Y3^3 * Y2 * Y3^5 * Y2 * Y3 * Y2, Y3 * Y2 * Y3^-1 * Y2 * Y3 * Y2 * Y3^-1 * Y2 * Y3^-1 * Y2 * Y3 * Y2, (Y3^-1 * Y1^-1)^18 ]
Map:: polytopal
	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, 115, 169)(112, 166, 117, 171)(113, 167, 119, 173)(114, 168, 121, 175)(116, 170, 120, 174)(118, 172, 122, 176)(123, 177, 133, 187)(124, 178, 135, 189)(125, 179, 134, 188)(126, 180, 137, 191)(127, 181, 138, 192)(128, 182, 140, 194)(129, 183, 142, 196)(130, 184, 141, 195)(131, 185, 144, 198)(132, 186, 145, 199)(136, 190, 143, 197)(139, 193, 146, 200)(147, 201, 155, 209)(148, 202, 156, 210)(149, 203, 162, 216)(150, 204, 158, 212)(151, 205, 161, 215)(152, 206, 160, 214)(153, 207, 159, 213)(154, 208, 157, 211)
	L = (1, 111)(2, 113)(3, 116)(4, 109)(5, 120)(6, 110)(7, 123)(8, 125)(9, 124)(10, 112)(11, 128)(12, 130)(13, 129)(14, 114)(15, 134)(16, 115)(17, 136)(18, 117)(19, 118)(20, 141)(21, 119)(22, 143)(23, 121)(24, 122)(25, 147)(26, 149)(27, 148)(28, 151)(29, 150)(30, 126)(31, 127)(32, 155)(33, 157)(34, 156)(35, 159)(36, 158)(37, 131)(38, 132)(39, 162)(40, 133)(41, 161)(42, 135)(43, 160)(44, 137)(45, 138)(46, 139)(47, 154)(48, 140)(49, 153)(50, 142)(51, 152)(52, 144)(53, 145)(54, 146)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 18, 36 ), ( 18, 36, 18, 36 ) }
Outer automorphisms :: reflexible
Dual of E10.603
Graph:: simple bipartite
	v = 81 e = 108 f = 9
	degree seq :: [ 2^54, 4^27 ]

E10.605 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 9, 18})
Quotient :: dipole
Aut^+ = C9 x S3 (small group id <54, 4>)
Aut   = S3 x D18 (small group id <108, 16>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y1)^2, (R * Y3)^2, (Y3 * Y2^-1)^2, (R * Y2 * Y3^-1)^2, Y1 * Y3^-1 * Y1^-2 * Y3 * Y1, (Y3 * Y1^-1 * Y3 * Y1 * Y3)^2, (Y3^-2 * Y1 * Y3^-1 * Y1^-1)^2, Y3 * Y1 * Y3 * Y1^-1 * Y3 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1, Y3 * Y1^-1 * Y3 * Y1^-3 * Y3 * Y1^-5, (Y3^-1 * Y1^-1)^9 ]
Map::
	R = (1, 55, 2, 56, 5, 59, 11, 65, 20, 74, 32, 86, 47, 101, 41, 95, 54, 108, 40, 94, 53, 107, 39, 93, 52, 106, 46, 100, 31, 85, 19, 73, 10, 64, 4, 58)(3, 57, 7, 61, 12, 66, 22, 76, 33, 87, 49, 103, 44, 98, 29, 83, 38, 92, 24, 78, 37, 91, 23, 77, 36, 90, 50, 104, 43, 97, 28, 82, 17, 71, 8, 62)(6, 60, 13, 67, 21, 75, 34, 88, 48, 102, 42, 96, 27, 81, 16, 70, 26, 80, 15, 69, 25, 79, 35, 89, 51, 105, 45, 99, 30, 84, 18, 72, 9, 63, 14, 68)(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, 117)(5, 120)(6, 110)(7, 123)(8, 124)(9, 112)(10, 125)(11, 129)(12, 113)(13, 131)(14, 132)(15, 115)(16, 116)(17, 118)(18, 137)(19, 138)(20, 141)(21, 119)(22, 143)(23, 121)(24, 122)(25, 147)(26, 148)(27, 149)(28, 150)(29, 126)(30, 127)(31, 151)(32, 156)(33, 128)(34, 158)(35, 130)(36, 160)(37, 161)(38, 162)(39, 133)(40, 134)(41, 135)(42, 136)(43, 139)(44, 155)(45, 157)(46, 159)(47, 152)(48, 140)(49, 153)(50, 142)(51, 154)(52, 144)(53, 145)(54, 146)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 4, 18 ), ( 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 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 E10.602
Graph:: simple bipartite
	v = 57 e = 108 f = 33
	degree seq :: [ 2^54, 36^3 ]

E10.606 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 9, 18})
Quotient :: dipole
Aut^+ = C9 x S3 (small group id <54, 4>)
Aut   = S3 x D18 (small group id <108, 16>)
|r| :: 2
Presentation :: [ Y1^2, 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, Y2^3 * Y1 * Y2^5 * Y1 * Y2 * Y1, Y2^18, (Y3 * Y2^-1)^9 ]
Map::
	R = (1, 55, 2, 56)(3, 57, 7, 61)(4, 58, 9, 63)(5, 59, 11, 65)(6, 60, 13, 67)(8, 62, 12, 66)(10, 64, 14, 68)(15, 69, 25, 79)(16, 70, 27, 81)(17, 71, 26, 80)(18, 72, 29, 83)(19, 73, 30, 84)(20, 74, 32, 86)(21, 75, 34, 88)(22, 76, 33, 87)(23, 77, 36, 90)(24, 78, 37, 91)(28, 82, 35, 89)(31, 85, 38, 92)(39, 93, 47, 101)(40, 94, 48, 102)(41, 95, 54, 108)(42, 96, 50, 104)(43, 97, 53, 107)(44, 98, 52, 106)(45, 99, 51, 105)(46, 100, 49, 103)(109, 163, 111, 165, 116, 170, 125, 179, 136, 190, 151, 205, 160, 214, 144, 198, 158, 212, 142, 196, 156, 210, 140, 194, 155, 209, 154, 208, 139, 193, 127, 181, 118, 172, 112, 166)(110, 164, 113, 167, 120, 174, 130, 184, 143, 197, 159, 213, 152, 206, 137, 191, 150, 204, 135, 189, 148, 202, 133, 187, 147, 201, 162, 216, 146, 200, 132, 186, 122, 176, 114, 168)(115, 169, 123, 177, 134, 188, 149, 203, 161, 215, 145, 199, 131, 185, 121, 175, 129, 183, 119, 173, 128, 182, 141, 195, 157, 211, 153, 207, 138, 192, 126, 180, 117, 171, 124, 178)
	L = (1, 110)(2, 109)(3, 115)(4, 117)(5, 119)(6, 121)(7, 111)(8, 120)(9, 112)(10, 122)(11, 113)(12, 116)(13, 114)(14, 118)(15, 133)(16, 135)(17, 134)(18, 137)(19, 138)(20, 140)(21, 142)(22, 141)(23, 144)(24, 145)(25, 123)(26, 125)(27, 124)(28, 143)(29, 126)(30, 127)(31, 146)(32, 128)(33, 130)(34, 129)(35, 136)(36, 131)(37, 132)(38, 139)(39, 155)(40, 156)(41, 162)(42, 158)(43, 161)(44, 160)(45, 159)(46, 157)(47, 147)(48, 148)(49, 154)(50, 150)(51, 153)(52, 152)(53, 151)(54, 149)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 2, 18, 2, 18 ), ( 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 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 E10.607
Graph:: bipartite
	v = 30 e = 108 f = 60
	degree seq :: [ 4^27, 36^3 ]

E10.607 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 9, 18})
Quotient :: dipole
Aut^+ = C9 x S3 (small group id <54, 4>)
Aut   = S3 x D18 (small group id <108, 16>)
|r| :: 2
Presentation :: [ Y2, R^2, (Y1 * Y3)^2, (R * Y1)^2, (R * Y3)^2, Y3 * Y1^-1 * Y3^-3 * Y1^-1, (R * Y2 * Y3^-1)^2, Y1^-1 * Y3^-1 * Y1^2 * Y3^-1 * Y1^-3, Y3^-1 * Y1^2 * Y3^-1 * Y1^5, (Y3 * Y2^-1)^18 ]
Map::
	R = (1, 55, 2, 56, 6, 60, 16, 70, 34, 88, 51, 105, 31, 85, 13, 67, 4, 58)(3, 57, 9, 63, 23, 77, 35, 89, 18, 72, 39, 93, 52, 106, 28, 82, 11, 65)(5, 59, 14, 68, 32, 86, 36, 90, 49, 103, 30, 84, 42, 96, 20, 74, 7, 61)(8, 62, 21, 75, 43, 97, 48, 102, 25, 79, 12, 66, 29, 83, 38, 92, 17, 71)(10, 64, 19, 73, 37, 91, 53, 107, 46, 100, 33, 87, 44, 98, 50, 104, 26, 80)(15, 69, 22, 76, 40, 94, 47, 101, 27, 81, 41, 95, 54, 108, 45, 99, 24, 78)(109, 163)(110, 164)(111, 165)(112, 166)(113, 167)(114, 168)(115, 169)(116, 170)(117, 171)(118, 172)(119, 173)(120, 174)(121, 175)(122, 176)(123, 177)(124, 178)(125, 179)(126, 180)(127, 181)(128, 182)(129, 183)(130, 184)(131, 185)(132, 186)(133, 187)(134, 188)(135, 189)(136, 190)(137, 191)(138, 192)(139, 193)(140, 194)(141, 195)(142, 196)(143, 197)(144, 198)(145, 199)(146, 200)(147, 201)(148, 202)(149, 203)(150, 204)(151, 205)(152, 206)(153, 207)(154, 208)(155, 209)(156, 210)(157, 211)(158, 212)(159, 213)(160, 214)(161, 215)(162, 216)
	L = (1, 111)(2, 115)(3, 118)(4, 120)(5, 109)(6, 125)(7, 127)(8, 110)(9, 112)(10, 133)(11, 135)(12, 134)(13, 138)(14, 132)(15, 113)(16, 143)(17, 145)(18, 114)(19, 119)(20, 149)(21, 123)(22, 116)(23, 153)(24, 117)(25, 155)(26, 157)(27, 156)(28, 159)(29, 121)(30, 158)(31, 160)(32, 154)(33, 122)(34, 140)(35, 161)(36, 124)(37, 128)(38, 162)(39, 130)(40, 126)(41, 136)(42, 139)(43, 141)(44, 129)(45, 137)(46, 131)(47, 144)(48, 142)(49, 148)(50, 147)(51, 151)(52, 152)(53, 146)(54, 150)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 4, 36 ), ( 4, 36, 4, 36, 4, 36, 4, 36, 4, 36, 4, 36, 4, 36, 4, 36, 4, 36 ) }
Outer automorphisms :: reflexible
Dual of E10.606
Graph:: simple bipartite
	v = 60 e = 108 f = 30
	degree seq :: [ 2^54, 18^6 ]

E10.608 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 2, 5})
Quotient :: halfedge^2
Aut^+ = A5 (small group id <60, 5>)
Aut   = C2 x A5 (small group id <120, 35>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, Y3^2, R^2, R * Y3 * R * Y2, (R * Y1)^2, (Y3 * Y2)^3, Y3 * Y2 * Y1 * Y3 * Y2 * Y3 * Y1 * Y2, (Y3 * Y1)^5, (Y2 * Y1)^5, Y1 * Y3 * Y1 * Y2 * Y1 * Y3 * Y1 * Y2 * Y1 * Y2 * Y3 ]
Map:: polytopal non-degenerate
	R = (1, 62, 2, 61)(3, 67, 7, 63)(4, 69, 9, 64)(5, 71, 11, 65)(6, 73, 13, 66)(8, 77, 17, 68)(10, 81, 21, 70)(12, 84, 24, 72)(14, 88, 28, 74)(15, 89, 29, 75)(16, 91, 31, 76)(18, 85, 25, 78)(19, 95, 35, 79)(20, 96, 36, 80)(22, 97, 37, 82)(23, 99, 39, 83)(26, 103, 43, 86)(27, 104, 44, 87)(30, 106, 46, 90)(32, 109, 49, 92)(33, 110, 50, 93)(34, 111, 51, 94)(38, 113, 53, 98)(40, 116, 56, 100)(41, 117, 57, 101)(42, 107, 47, 102)(45, 114, 54, 105)(48, 120, 60, 108)(52, 119, 59, 112)(55, 118, 58, 115)
	L = (1, 3)(2, 5)(4, 10)(6, 14)(7, 15)(8, 18)(9, 19)(11, 22)(12, 25)(13, 26)(16, 32)(17, 33)(20, 34)(21, 30)(23, 40)(24, 41)(27, 42)(28, 38)(29, 37)(31, 47)(35, 52)(36, 54)(39, 51)(43, 48)(44, 58)(45, 56)(46, 59)(49, 55)(50, 57)(53, 60)(61, 64)(62, 66)(63, 68)(65, 72)(67, 76)(69, 80)(70, 78)(71, 83)(73, 87)(74, 85)(75, 90)(77, 94)(79, 93)(81, 92)(82, 98)(84, 102)(86, 101)(88, 100)(89, 105)(91, 108)(95, 113)(96, 104)(97, 115)(99, 112)(103, 106)(107, 119)(109, 116)(110, 118)(111, 120)(114, 117)
	local type(s) :: { ( 10^4 ) }
Outer automorphisms :: reflexible
Dual of E10.609
Transitivity :: VT+ AT
Graph:: simple
	v = 30 e = 60 f = 12
	degree seq :: [ 4^30 ]

E10.609 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 2, 5})
Quotient :: halfedge^2
Aut^+ = A5 (small group id <60, 5>)
Aut   = C2 x A5 (small group id <120, 35>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, R * Y3 * R * Y2, (R * Y1)^2, Y1^5, Y2 * Y1^2 * Y2 * Y1^-1 * Y3, Y1^-1 * Y2 * Y1^2 * Y3 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 62, 2, 66, 6, 77, 17, 65, 5, 61)(3, 69, 9, 79, 19, 91, 31, 71, 11, 63)(4, 72, 12, 81, 21, 90, 30, 74, 14, 64)(7, 80, 20, 94, 34, 73, 13, 82, 22, 67)(8, 83, 23, 96, 36, 75, 15, 85, 25, 68)(10, 78, 18, 97, 37, 76, 16, 84, 24, 70)(26, 104, 44, 109, 49, 88, 28, 105, 45, 86)(27, 106, 46, 92, 32, 89, 29, 107, 47, 87)(33, 99, 39, 112, 52, 95, 35, 110, 50, 93)(38, 111, 51, 101, 41, 100, 40, 114, 54, 98)(42, 113, 53, 108, 48, 103, 43, 115, 55, 102)(56, 119, 59, 118, 58, 117, 57, 120, 60, 116)
	L = (1, 3)(2, 7)(4, 13)(5, 15)(6, 18)(8, 24)(9, 26)(10, 28)(11, 29)(12, 19)(14, 27)(16, 31)(17, 30)(20, 35)(21, 39)(22, 40)(23, 34)(25, 38)(32, 50)(33, 51)(36, 53)(37, 43)(41, 55)(42, 44)(45, 57)(46, 49)(47, 56)(48, 59)(52, 58)(54, 60)(61, 64)(62, 68)(63, 70)(65, 76)(66, 79)(67, 81)(69, 87)(71, 90)(72, 92)(73, 93)(74, 95)(75, 82)(77, 94)(78, 96)(80, 98)(83, 101)(84, 102)(85, 103)(86, 97)(88, 108)(89, 105)(91, 109)(99, 107)(100, 112)(104, 116)(106, 118)(110, 120)(111, 119)(113, 114)(115, 117)
	local type(s) :: { ( 4^10 ) }
Outer automorphisms :: reflexible
Dual of E10.608
Transitivity :: VT+ AT
Graph::
	v = 12 e = 60 f = 30
	degree seq :: [ 10^12 ]

E10.610 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 2, 5})
Quotient :: edge^2
Aut^+ = A5 (small group id <60, 5>)
Aut   = C2 x A5 (small group id <120, 35>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, Y3^2, R^2, (R * Y3)^2, R * Y1 * R * Y2, (Y2 * Y1)^3, (Y2 * Y3 * Y2 * Y1)^2, (Y3 * Y2)^5, (Y3 * Y1)^5, Y2 * Y3 * Y1 * Y3 * Y2 * Y3 * Y1 * Y3 * Y1 * Y2 * Y3 ]
Map:: polytopal
	R = (1, 61, 4, 64)(2, 62, 6, 66)(3, 63, 8, 68)(5, 65, 12, 72)(7, 67, 15, 75)(9, 69, 19, 79)(10, 70, 21, 81)(11, 71, 22, 82)(13, 73, 26, 86)(14, 74, 28, 88)(16, 76, 29, 89)(17, 77, 30, 90)(18, 78, 31, 91)(20, 80, 34, 94)(23, 83, 37, 97)(24, 84, 38, 98)(25, 85, 39, 99)(27, 87, 42, 102)(32, 92, 40, 100)(33, 93, 53, 113)(35, 95, 54, 114)(36, 96, 48, 108)(41, 101, 47, 107)(43, 103, 50, 110)(44, 104, 57, 117)(45, 105, 58, 118)(46, 106, 51, 111)(49, 109, 55, 115)(52, 112, 60, 120)(56, 116, 59, 119)(121, 122)(123, 127)(124, 129)(125, 131)(126, 133)(128, 136)(130, 140)(132, 143)(134, 147)(135, 145)(137, 144)(138, 142)(139, 152)(141, 155)(146, 160)(148, 163)(149, 165)(150, 167)(151, 169)(153, 172)(154, 171)(156, 170)(157, 175)(158, 173)(159, 178)(161, 180)(162, 179)(164, 174)(166, 177)(168, 176)(181, 183)(182, 185)(184, 190)(186, 194)(187, 191)(188, 197)(189, 198)(192, 204)(193, 205)(195, 207)(196, 203)(199, 213)(200, 202)(201, 216)(206, 221)(208, 224)(209, 226)(210, 228)(211, 230)(212, 231)(214, 232)(215, 229)(217, 236)(218, 237)(219, 234)(220, 239)(222, 240)(223, 238)(225, 233)(227, 235)
	L = (1, 121)(2, 122)(3, 123)(4, 124)(5, 125)(6, 126)(7, 127)(8, 128)(9, 129)(10, 130)(11, 131)(12, 132)(13, 133)(14, 134)(15, 135)(16, 136)(17, 137)(18, 138)(19, 139)(20, 140)(21, 141)(22, 142)(23, 143)(24, 144)(25, 145)(26, 146)(27, 147)(28, 148)(29, 149)(30, 150)(31, 151)(32, 152)(33, 153)(34, 154)(35, 155)(36, 156)(37, 157)(38, 158)(39, 159)(40, 160)(41, 161)(42, 162)(43, 163)(44, 164)(45, 165)(46, 166)(47, 167)(48, 168)(49, 169)(50, 170)(51, 171)(52, 172)(53, 173)(54, 174)(55, 175)(56, 176)(57, 177)(58, 178)(59, 179)(60, 180)(61, 181)(62, 182)(63, 183)(64, 184)(65, 185)(66, 186)(67, 187)(68, 188)(69, 189)(70, 190)(71, 191)(72, 192)(73, 193)(74, 194)(75, 195)(76, 196)(77, 197)(78, 198)(79, 199)(80, 200)(81, 201)(82, 202)(83, 203)(84, 204)(85, 205)(86, 206)(87, 207)(88, 208)(89, 209)(90, 210)(91, 211)(92, 212)(93, 213)(94, 214)(95, 215)(96, 216)(97, 217)(98, 218)(99, 219)(100, 220)(101, 221)(102, 222)(103, 223)(104, 224)(105, 225)(106, 226)(107, 227)(108, 228)(109, 229)(110, 230)(111, 231)(112, 232)(113, 233)(114, 234)(115, 235)(116, 236)(117, 237)(118, 238)(119, 239)(120, 240)
	local type(s) :: { ( 20, 20 ), ( 20^4 ) }
Outer automorphisms :: reflexible
Dual of E10.613
Graph:: simple bipartite
	v = 90 e = 120 f = 12
	degree seq :: [ 2^60, 4^30 ]

E10.611 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 2, 5})
Quotient :: edge^2
Aut^+ = A5 (small group id <60, 5>)
Aut   = C2 x A5 (small group id <120, 35>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, R * Y2 * R * Y1, (R * Y3)^2, Y3^5, Y1 * Y3 * Y2 * Y3^-2 * Y2, (Y3^-1 * Y2 * Y1)^2, Y3^-1 * Y2 * Y3^2 * Y1 * Y3^-1, (Y2 * Y1)^5 ]
Map:: polytopal
	R = (1, 61, 4, 64, 14, 74, 17, 77, 5, 65)(2, 62, 7, 67, 23, 83, 26, 86, 8, 68)(3, 63, 10, 70, 22, 82, 32, 92, 11, 71)(6, 66, 19, 79, 13, 73, 35, 95, 20, 80)(9, 69, 28, 88, 36, 96, 15, 75, 29, 89)(12, 72, 33, 93, 37, 97, 16, 76, 34, 94)(18, 78, 39, 99, 43, 103, 24, 84, 40, 100)(21, 81, 31, 91, 44, 104, 25, 85, 42, 102)(27, 87, 46, 106, 30, 90, 49, 109, 47, 107)(38, 98, 50, 110, 41, 101, 56, 116, 52, 112)(45, 105, 51, 111, 60, 120, 48, 108, 53, 113)(54, 114, 57, 117, 59, 119, 55, 115, 58, 118)(121, 122)(123, 129)(124, 132)(125, 135)(126, 138)(127, 141)(128, 144)(130, 145)(131, 146)(133, 143)(134, 142)(136, 139)(137, 140)(147, 165)(148, 157)(149, 168)(150, 156)(151, 166)(152, 167)(153, 170)(154, 171)(155, 172)(158, 174)(159, 164)(160, 175)(161, 163)(162, 177)(169, 178)(173, 176)(179, 180)(181, 183)(182, 186)(184, 193)(185, 196)(187, 202)(188, 205)(189, 207)(190, 210)(191, 211)(192, 209)(194, 208)(195, 212)(197, 206)(198, 218)(199, 221)(200, 213)(201, 220)(203, 219)(204, 215)(214, 232)(216, 231)(217, 233)(222, 227)(223, 237)(224, 238)(225, 234)(226, 239)(228, 229)(230, 240)(235, 236)
	L = (1, 121)(2, 122)(3, 123)(4, 124)(5, 125)(6, 126)(7, 127)(8, 128)(9, 129)(10, 130)(11, 131)(12, 132)(13, 133)(14, 134)(15, 135)(16, 136)(17, 137)(18, 138)(19, 139)(20, 140)(21, 141)(22, 142)(23, 143)(24, 144)(25, 145)(26, 146)(27, 147)(28, 148)(29, 149)(30, 150)(31, 151)(32, 152)(33, 153)(34, 154)(35, 155)(36, 156)(37, 157)(38, 158)(39, 159)(40, 160)(41, 161)(42, 162)(43, 163)(44, 164)(45, 165)(46, 166)(47, 167)(48, 168)(49, 169)(50, 170)(51, 171)(52, 172)(53, 173)(54, 174)(55, 175)(56, 176)(57, 177)(58, 178)(59, 179)(60, 180)(61, 181)(62, 182)(63, 183)(64, 184)(65, 185)(66, 186)(67, 187)(68, 188)(69, 189)(70, 190)(71, 191)(72, 192)(73, 193)(74, 194)(75, 195)(76, 196)(77, 197)(78, 198)(79, 199)(80, 200)(81, 201)(82, 202)(83, 203)(84, 204)(85, 205)(86, 206)(87, 207)(88, 208)(89, 209)(90, 210)(91, 211)(92, 212)(93, 213)(94, 214)(95, 215)(96, 216)(97, 217)(98, 218)(99, 219)(100, 220)(101, 221)(102, 222)(103, 223)(104, 224)(105, 225)(106, 226)(107, 227)(108, 228)(109, 229)(110, 230)(111, 231)(112, 232)(113, 233)(114, 234)(115, 235)(116, 236)(117, 237)(118, 238)(119, 239)(120, 240)
	local type(s) :: { ( 8, 8 ), ( 8^10 ) }
Outer automorphisms :: reflexible
Dual of E10.612
Graph:: simple bipartite
	v = 72 e = 120 f = 30
	degree seq :: [ 2^60, 10^12 ]

E10.612 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 2, 5})
Quotient :: loop^2
Aut^+ = A5 (small group id <60, 5>)
Aut   = C2 x A5 (small group id <120, 35>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, Y3^2, R^2, (R * Y3)^2, R * Y1 * R * Y2, (Y2 * Y1)^3, (Y2 * Y3 * Y2 * Y1)^2, (Y3 * Y2)^5, (Y3 * Y1)^5, Y2 * Y3 * Y1 * Y3 * Y2 * Y3 * Y1 * Y3 * Y1 * Y2 * Y3 ]
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, 15, 75, 135, 195)(9, 69, 129, 189, 19, 79, 139, 199)(10, 70, 130, 190, 21, 81, 141, 201)(11, 71, 131, 191, 22, 82, 142, 202)(13, 73, 133, 193, 26, 86, 146, 206)(14, 74, 134, 194, 28, 88, 148, 208)(16, 76, 136, 196, 29, 89, 149, 209)(17, 77, 137, 197, 30, 90, 150, 210)(18, 78, 138, 198, 31, 91, 151, 211)(20, 80, 140, 200, 34, 94, 154, 214)(23, 83, 143, 203, 37, 97, 157, 217)(24, 84, 144, 204, 38, 98, 158, 218)(25, 85, 145, 205, 39, 99, 159, 219)(27, 87, 147, 207, 42, 102, 162, 222)(32, 92, 152, 212, 40, 100, 160, 220)(33, 93, 153, 213, 53, 113, 173, 233)(35, 95, 155, 215, 54, 114, 174, 234)(36, 96, 156, 216, 48, 108, 168, 228)(41, 101, 161, 221, 47, 107, 167, 227)(43, 103, 163, 223, 50, 110, 170, 230)(44, 104, 164, 224, 57, 117, 177, 237)(45, 105, 165, 225, 58, 118, 178, 238)(46, 106, 166, 226, 51, 111, 171, 231)(49, 109, 169, 229, 55, 115, 175, 235)(52, 112, 172, 232, 60, 120, 180, 240)(56, 116, 176, 236, 59, 119, 179, 239)
	L = (1, 62)(2, 61)(3, 67)(4, 69)(5, 71)(6, 73)(7, 63)(8, 76)(9, 64)(10, 80)(11, 65)(12, 83)(13, 66)(14, 87)(15, 85)(16, 68)(17, 84)(18, 82)(19, 92)(20, 70)(21, 95)(22, 78)(23, 72)(24, 77)(25, 75)(26, 100)(27, 74)(28, 103)(29, 105)(30, 107)(31, 109)(32, 79)(33, 112)(34, 111)(35, 81)(36, 110)(37, 115)(38, 113)(39, 118)(40, 86)(41, 120)(42, 119)(43, 88)(44, 114)(45, 89)(46, 117)(47, 90)(48, 116)(49, 91)(50, 96)(51, 94)(52, 93)(53, 98)(54, 104)(55, 97)(56, 108)(57, 106)(58, 99)(59, 102)(60, 101)(121, 183)(122, 185)(123, 181)(124, 190)(125, 182)(126, 194)(127, 191)(128, 197)(129, 198)(130, 184)(131, 187)(132, 204)(133, 205)(134, 186)(135, 207)(136, 203)(137, 188)(138, 189)(139, 213)(140, 202)(141, 216)(142, 200)(143, 196)(144, 192)(145, 193)(146, 221)(147, 195)(148, 224)(149, 226)(150, 228)(151, 230)(152, 231)(153, 199)(154, 232)(155, 229)(156, 201)(157, 236)(158, 237)(159, 234)(160, 239)(161, 206)(162, 240)(163, 238)(164, 208)(165, 233)(166, 209)(167, 235)(168, 210)(169, 215)(170, 211)(171, 212)(172, 214)(173, 225)(174, 219)(175, 227)(176, 217)(177, 218)(178, 223)(179, 220)(180, 222)
	local type(s) :: { ( 2, 10, 2, 10, 2, 10, 2, 10 ) }
Outer automorphisms :: reflexible
Dual of E10.611
Transitivity :: VT+
Graph::
	v = 30 e = 120 f = 72
	degree seq :: [ 8^30 ]

E10.613 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 2, 5})
Quotient :: loop^2
Aut^+ = A5 (small group id <60, 5>)
Aut   = C2 x A5 (small group id <120, 35>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, R * Y2 * R * Y1, (R * Y3)^2, Y3^5, Y1 * Y3 * Y2 * Y3^-2 * Y2, (Y3^-1 * Y2 * Y1)^2, Y3^-1 * Y2 * Y3^2 * Y1 * Y3^-1, (Y2 * Y1)^5 ]
Map::
	R = (1, 61, 121, 181, 4, 64, 124, 184, 14, 74, 134, 194, 17, 77, 137, 197, 5, 65, 125, 185)(2, 62, 122, 182, 7, 67, 127, 187, 23, 83, 143, 203, 26, 86, 146, 206, 8, 68, 128, 188)(3, 63, 123, 183, 10, 70, 130, 190, 22, 82, 142, 202, 32, 92, 152, 212, 11, 71, 131, 191)(6, 66, 126, 186, 19, 79, 139, 199, 13, 73, 133, 193, 35, 95, 155, 215, 20, 80, 140, 200)(9, 69, 129, 189, 28, 88, 148, 208, 36, 96, 156, 216, 15, 75, 135, 195, 29, 89, 149, 209)(12, 72, 132, 192, 33, 93, 153, 213, 37, 97, 157, 217, 16, 76, 136, 196, 34, 94, 154, 214)(18, 78, 138, 198, 39, 99, 159, 219, 43, 103, 163, 223, 24, 84, 144, 204, 40, 100, 160, 220)(21, 81, 141, 201, 31, 91, 151, 211, 44, 104, 164, 224, 25, 85, 145, 205, 42, 102, 162, 222)(27, 87, 147, 207, 46, 106, 166, 226, 30, 90, 150, 210, 49, 109, 169, 229, 47, 107, 167, 227)(38, 98, 158, 218, 50, 110, 170, 230, 41, 101, 161, 221, 56, 116, 176, 236, 52, 112, 172, 232)(45, 105, 165, 225, 51, 111, 171, 231, 60, 120, 180, 240, 48, 108, 168, 228, 53, 113, 173, 233)(54, 114, 174, 234, 57, 117, 177, 237, 59, 119, 179, 239, 55, 115, 175, 235, 58, 118, 178, 238)
	L = (1, 62)(2, 61)(3, 69)(4, 72)(5, 75)(6, 78)(7, 81)(8, 84)(9, 63)(10, 85)(11, 86)(12, 64)(13, 83)(14, 82)(15, 65)(16, 79)(17, 80)(18, 66)(19, 76)(20, 77)(21, 67)(22, 74)(23, 73)(24, 68)(25, 70)(26, 71)(27, 105)(28, 97)(29, 108)(30, 96)(31, 106)(32, 107)(33, 110)(34, 111)(35, 112)(36, 90)(37, 88)(38, 114)(39, 104)(40, 115)(41, 103)(42, 117)(43, 101)(44, 99)(45, 87)(46, 91)(47, 92)(48, 89)(49, 118)(50, 93)(51, 94)(52, 95)(53, 116)(54, 98)(55, 100)(56, 113)(57, 102)(58, 109)(59, 120)(60, 119)(121, 183)(122, 186)(123, 181)(124, 193)(125, 196)(126, 182)(127, 202)(128, 205)(129, 207)(130, 210)(131, 211)(132, 209)(133, 184)(134, 208)(135, 212)(136, 185)(137, 206)(138, 218)(139, 221)(140, 213)(141, 220)(142, 187)(143, 219)(144, 215)(145, 188)(146, 197)(147, 189)(148, 194)(149, 192)(150, 190)(151, 191)(152, 195)(153, 200)(154, 232)(155, 204)(156, 231)(157, 233)(158, 198)(159, 203)(160, 201)(161, 199)(162, 227)(163, 237)(164, 238)(165, 234)(166, 239)(167, 222)(168, 229)(169, 228)(170, 240)(171, 216)(172, 214)(173, 217)(174, 225)(175, 236)(176, 235)(177, 223)(178, 224)(179, 226)(180, 230)
	local type(s) :: { ( 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4 ) }
Outer automorphisms :: reflexible
Dual of E10.610
Transitivity :: VT+
Graph::
	v = 12 e = 120 f = 90
	degree seq :: [ 20^12 ]

E10.614 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 5})
Quotient :: dipole
Aut^+ = A5 (small group id <60, 5>)
Aut   = C2 x A5 (small group id <120, 35>)
|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)^3, (Y1 * Y3)^5, (Y1 * Y2)^5, (Y2 * Y1 * Y3 * Y1)^3 ]
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, 34, 94)(22, 82, 36, 96)(24, 84, 29, 89)(26, 86, 40, 100)(27, 87, 41, 101)(32, 92, 35, 95)(37, 97, 51, 111)(38, 98, 49, 109)(39, 99, 53, 113)(42, 102, 54, 114)(43, 103, 46, 106)(44, 104, 58, 118)(45, 105, 52, 112)(47, 107, 55, 115)(48, 108, 56, 116)(50, 110, 57, 117)(59, 119, 60, 120)(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, 147, 207)(142, 202, 155, 215)(143, 203, 151, 211)(145, 205, 158, 218)(148, 208, 162, 222)(150, 210, 164, 224)(153, 213, 166, 226)(154, 214, 168, 228)(156, 216, 170, 230)(157, 217, 165, 225)(159, 219, 172, 232)(160, 220, 174, 234)(161, 221, 176, 236)(163, 223, 177, 237)(167, 227, 171, 231)(169, 229, 178, 238)(173, 233, 179, 239)(175, 235, 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, 146)(21, 155)(22, 132)(23, 157)(24, 133)(25, 159)(26, 140)(27, 135)(28, 163)(29, 136)(30, 156)(31, 165)(32, 138)(33, 167)(34, 169)(35, 141)(36, 150)(37, 143)(38, 172)(39, 145)(40, 175)(41, 173)(42, 177)(43, 148)(44, 170)(45, 151)(46, 171)(47, 153)(48, 178)(49, 154)(50, 164)(51, 166)(52, 158)(53, 161)(54, 180)(55, 160)(56, 179)(57, 162)(58, 168)(59, 176)(60, 174)(61, 181)(62, 182)(63, 183)(64, 184)(65, 185)(66, 186)(67, 187)(68, 188)(69, 189)(70, 190)(71, 191)(72, 192)(73, 193)(74, 194)(75, 195)(76, 196)(77, 197)(78, 198)(79, 199)(80, 200)(81, 201)(82, 202)(83, 203)(84, 204)(85, 205)(86, 206)(87, 207)(88, 208)(89, 209)(90, 210)(91, 211)(92, 212)(93, 213)(94, 214)(95, 215)(96, 216)(97, 217)(98, 218)(99, 219)(100, 220)(101, 221)(102, 222)(103, 223)(104, 224)(105, 225)(106, 226)(107, 227)(108, 228)(109, 229)(110, 230)(111, 231)(112, 232)(113, 233)(114, 234)(115, 235)(116, 236)(117, 237)(118, 238)(119, 239)(120, 240)
	local type(s) :: { ( 4, 10, 4, 10 ) }
Outer automorphisms :: reflexible
Dual of E10.616
Graph:: simple bipartite
	v = 60 e = 120 f = 42
	degree seq :: [ 4^60 ]

E10.615 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 5})
Quotient :: dipole
Aut^+ = A5 (small group id <60, 5>)
Aut   = C2 x A5 (small group id <120, 35>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, Y3^2, R^2, (R * Y2)^2, (Y3 * Y2)^2, (R * Y1)^2, (R * Y3)^2, (Y1 * Y2)^3, (Y3 * Y1)^5, (Y1 * Y3 * Y2)^5 ]
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, 14, 74)(11, 71, 18, 78)(13, 73, 21, 81)(15, 75, 22, 82)(16, 76, 25, 85)(17, 77, 26, 86)(19, 79, 27, 87)(20, 80, 30, 90)(23, 83, 34, 94)(24, 84, 35, 95)(28, 88, 40, 100)(29, 89, 41, 101)(31, 91, 37, 97)(32, 92, 44, 104)(33, 93, 45, 105)(36, 96, 47, 107)(38, 98, 50, 110)(39, 99, 51, 111)(42, 102, 53, 113)(43, 103, 55, 115)(46, 106, 57, 117)(48, 108, 60, 120)(49, 109, 59, 119)(52, 112, 58, 118)(54, 114, 56, 116)(121, 181, 123, 183)(122, 182, 125, 185)(124, 184, 128, 188)(126, 186, 131, 191)(127, 187, 130, 190)(129, 189, 135, 195)(132, 192, 139, 199)(133, 193, 137, 197)(134, 194, 142, 202)(136, 196, 144, 204)(138, 198, 147, 207)(140, 200, 149, 209)(141, 201, 151, 211)(143, 203, 153, 213)(145, 205, 156, 216)(146, 206, 157, 217)(148, 208, 159, 219)(150, 210, 162, 222)(152, 212, 163, 223)(154, 214, 166, 226)(155, 215, 167, 227)(158, 218, 169, 229)(160, 220, 172, 232)(161, 221, 173, 233)(164, 224, 176, 236)(165, 225, 177, 237)(168, 228, 179, 239)(170, 230, 180, 240)(171, 231, 178, 238)(174, 234, 175, 235)
	L = (1, 124)(2, 126)(3, 128)(4, 121)(5, 131)(6, 122)(7, 133)(8, 123)(9, 136)(10, 137)(11, 125)(12, 140)(13, 127)(14, 143)(15, 144)(16, 129)(17, 130)(18, 148)(19, 149)(20, 132)(21, 152)(22, 153)(23, 134)(24, 135)(25, 150)(26, 158)(27, 159)(28, 138)(29, 139)(30, 145)(31, 163)(32, 141)(33, 142)(34, 164)(35, 168)(36, 162)(37, 169)(38, 146)(39, 147)(40, 170)(41, 174)(42, 156)(43, 151)(44, 154)(45, 178)(46, 176)(47, 179)(48, 155)(49, 157)(50, 160)(51, 177)(52, 180)(53, 175)(54, 161)(55, 173)(56, 166)(57, 171)(58, 165)(59, 167)(60, 172)(61, 181)(62, 182)(63, 183)(64, 184)(65, 185)(66, 186)(67, 187)(68, 188)(69, 189)(70, 190)(71, 191)(72, 192)(73, 193)(74, 194)(75, 195)(76, 196)(77, 197)(78, 198)(79, 199)(80, 200)(81, 201)(82, 202)(83, 203)(84, 204)(85, 205)(86, 206)(87, 207)(88, 208)(89, 209)(90, 210)(91, 211)(92, 212)(93, 213)(94, 214)(95, 215)(96, 216)(97, 217)(98, 218)(99, 219)(100, 220)(101, 221)(102, 222)(103, 223)(104, 224)(105, 225)(106, 226)(107, 227)(108, 228)(109, 229)(110, 230)(111, 231)(112, 232)(113, 233)(114, 234)(115, 235)(116, 236)(117, 237)(118, 238)(119, 239)(120, 240)
	local type(s) :: { ( 4, 10, 4, 10 ) }
Outer automorphisms :: reflexible
Dual of E10.617
Graph:: simple bipartite
	v = 60 e = 120 f = 42
	degree seq :: [ 4^60 ]

E10.616 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 5})
Quotient :: dipole
Aut^+ = A5 (small group id <60, 5>)
Aut   = C2 x A5 (small group id <120, 35>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, (R * Y2)^2, (R * Y3)^2, (Y1^-1 * Y3)^2, (Y3 * Y2)^2, (R * Y1)^2, Y1^5, Y1 * Y2 * Y1^-1 * Y2 * Y1 * Y3 * Y2, (Y1 * Y2 * Y1)^3, (Y2 * Y1^-1)^5 ]
Map:: polytopal non-degenerate
	R = (1, 61, 2, 62, 6, 66, 14, 74, 5, 65)(3, 63, 9, 69, 20, 80, 25, 85, 11, 71)(4, 64, 12, 72, 26, 86, 16, 76, 8, 68)(7, 67, 17, 77, 34, 94, 37, 97, 19, 79)(10, 70, 23, 83, 41, 101, 39, 99, 22, 82)(13, 73, 28, 88, 46, 106, 48, 108, 29, 89)(15, 75, 31, 91, 43, 103, 53, 113, 33, 93)(18, 78, 21, 81, 40, 100, 54, 114, 36, 96)(24, 84, 27, 87, 45, 105, 60, 120, 42, 102)(30, 90, 49, 109, 56, 116, 38, 98, 50, 110)(32, 92, 35, 95, 55, 115, 59, 119, 52, 112)(44, 104, 51, 111, 57, 117, 58, 118, 47, 107)(121, 181, 123, 183)(122, 182, 127, 187)(124, 184, 130, 190)(125, 185, 133, 193)(126, 186, 135, 195)(128, 188, 138, 198)(129, 189, 141, 201)(131, 191, 144, 204)(132, 192, 147, 207)(134, 194, 150, 210)(136, 196, 152, 212)(137, 197, 155, 215)(139, 199, 142, 202)(140, 200, 158, 218)(143, 203, 148, 208)(145, 205, 163, 223)(146, 206, 164, 224)(149, 209, 167, 227)(151, 211, 171, 231)(153, 213, 156, 216)(154, 214, 168, 228)(157, 217, 176, 236)(159, 219, 177, 237)(160, 220, 178, 238)(161, 221, 179, 239)(162, 222, 175, 235)(165, 225, 169, 229)(166, 226, 173, 233)(170, 230, 172, 232)(174, 234, 180, 240)
	L = (1, 124)(2, 128)(3, 130)(4, 121)(5, 132)(6, 136)(7, 138)(8, 122)(9, 142)(10, 123)(11, 143)(12, 125)(13, 147)(14, 146)(15, 152)(16, 126)(17, 156)(18, 127)(19, 141)(20, 159)(21, 139)(22, 129)(23, 131)(24, 148)(25, 161)(26, 134)(27, 133)(28, 144)(29, 165)(30, 164)(31, 172)(32, 135)(33, 155)(34, 174)(35, 153)(36, 137)(37, 160)(38, 177)(39, 140)(40, 157)(41, 145)(42, 166)(43, 179)(44, 150)(45, 149)(46, 162)(47, 169)(48, 180)(49, 167)(50, 171)(51, 170)(52, 151)(53, 175)(54, 154)(55, 173)(56, 178)(57, 158)(58, 176)(59, 163)(60, 168)(61, 181)(62, 182)(63, 183)(64, 184)(65, 185)(66, 186)(67, 187)(68, 188)(69, 189)(70, 190)(71, 191)(72, 192)(73, 193)(74, 194)(75, 195)(76, 196)(77, 197)(78, 198)(79, 199)(80, 200)(81, 201)(82, 202)(83, 203)(84, 204)(85, 205)(86, 206)(87, 207)(88, 208)(89, 209)(90, 210)(91, 211)(92, 212)(93, 213)(94, 214)(95, 215)(96, 216)(97, 217)(98, 218)(99, 219)(100, 220)(101, 221)(102, 222)(103, 223)(104, 224)(105, 225)(106, 226)(107, 227)(108, 228)(109, 229)(110, 230)(111, 231)(112, 232)(113, 233)(114, 234)(115, 235)(116, 236)(117, 237)(118, 238)(119, 239)(120, 240)
	local type(s) :: { ( 4^4 ), ( 4^10 ) }
Outer automorphisms :: reflexible
Dual of E10.614
Graph:: simple bipartite
	v = 42 e = 120 f = 60
	degree seq :: [ 4^30, 10^12 ]

E10.617 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 5})
Quotient :: dipole
Aut^+ = A5 (small group id <60, 5>)
Aut   = C2 x A5 (small group id <120, 35>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, (R * Y2)^2, (R * Y3)^2, (Y3 * Y2)^2, (R * Y1)^2, (Y1^-1 * Y3)^2, Y1^5, (Y2 * Y1^-1)^3, Y2 * Y1^2 * Y3 * Y2 * Y1^2 * Y2 * Y1^-2 ]
Map:: polytopal non-degenerate
	R = (1, 61, 2, 62, 6, 66, 14, 74, 5, 65)(3, 63, 9, 69, 20, 80, 24, 84, 11, 71)(4, 64, 12, 72, 25, 85, 16, 76, 8, 68)(7, 67, 17, 77, 32, 92, 35, 95, 19, 79)(10, 70, 23, 83, 40, 100, 37, 97, 22, 82)(13, 73, 27, 87, 44, 104, 39, 99, 21, 81)(15, 75, 29, 89, 47, 107, 50, 110, 31, 91)(18, 78, 34, 94, 53, 113, 52, 112, 33, 93)(26, 86, 38, 98, 56, 116, 54, 114, 43, 103)(28, 88, 46, 106, 57, 117, 60, 120, 45, 105)(30, 90, 49, 109, 36, 96, 55, 115, 48, 108)(41, 101, 58, 118, 42, 102, 59, 119, 51, 111)(121, 181, 123, 183)(122, 182, 127, 187)(124, 184, 130, 190)(125, 185, 133, 193)(126, 186, 135, 195)(128, 188, 138, 198)(129, 189, 141, 201)(131, 191, 137, 197)(132, 192, 146, 206)(134, 194, 148, 208)(136, 196, 150, 210)(139, 199, 149, 209)(140, 200, 156, 216)(142, 202, 158, 218)(143, 203, 153, 213)(144, 204, 161, 221)(145, 205, 162, 222)(147, 207, 165, 225)(151, 211, 166, 226)(152, 212, 171, 231)(154, 214, 168, 228)(155, 215, 174, 234)(157, 217, 170, 230)(159, 219, 175, 235)(160, 220, 177, 237)(163, 223, 179, 239)(164, 224, 173, 233)(167, 227, 176, 236)(169, 229, 178, 238)(172, 232, 180, 240)
	L = (1, 124)(2, 128)(3, 130)(4, 121)(5, 132)(6, 136)(7, 138)(8, 122)(9, 142)(10, 123)(11, 143)(12, 125)(13, 146)(14, 145)(15, 150)(16, 126)(17, 153)(18, 127)(19, 154)(20, 157)(21, 158)(22, 129)(23, 131)(24, 160)(25, 134)(26, 133)(27, 163)(28, 162)(29, 168)(30, 135)(31, 169)(32, 172)(33, 137)(34, 139)(35, 173)(36, 170)(37, 140)(38, 141)(39, 176)(40, 144)(41, 177)(42, 148)(43, 147)(44, 174)(45, 179)(46, 178)(47, 175)(48, 149)(49, 151)(50, 156)(51, 180)(52, 152)(53, 155)(54, 164)(55, 167)(56, 159)(57, 161)(58, 166)(59, 165)(60, 171)(61, 181)(62, 182)(63, 183)(64, 184)(65, 185)(66, 186)(67, 187)(68, 188)(69, 189)(70, 190)(71, 191)(72, 192)(73, 193)(74, 194)(75, 195)(76, 196)(77, 197)(78, 198)(79, 199)(80, 200)(81, 201)(82, 202)(83, 203)(84, 204)(85, 205)(86, 206)(87, 207)(88, 208)(89, 209)(90, 210)(91, 211)(92, 212)(93, 213)(94, 214)(95, 215)(96, 216)(97, 217)(98, 218)(99, 219)(100, 220)(101, 221)(102, 222)(103, 223)(104, 224)(105, 225)(106, 226)(107, 227)(108, 228)(109, 229)(110, 230)(111, 231)(112, 232)(113, 233)(114, 234)(115, 235)(116, 236)(117, 237)(118, 238)(119, 239)(120, 240)
	local type(s) :: { ( 4^4 ), ( 4^10 ) }
Outer automorphisms :: reflexible
Dual of E10.615
Graph:: simple bipartite
	v = 42 e = 120 f = 60
	degree seq :: [ 4^30, 10^12 ]

E10.618 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 6, 30})
Quotient :: regular
Aut^+ = C6 x D10 (small group id <60, 10>)
Aut   = C2 x S3 x D10 (small group id <120, 42>)
|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^-3 * T2 * T1^2 * T2 * T1^-5 ]
Map:: non-degenerate
	R = (1, 2, 5, 11, 23, 39, 53, 48, 32, 45, 34, 17, 29, 43, 56, 60, 59, 49, 33, 16, 28, 42, 35, 46, 58, 52, 38, 22, 10, 4)(3, 7, 15, 31, 47, 54, 44, 26, 12, 25, 20, 9, 19, 36, 50, 55, 40, 30, 14, 6, 13, 27, 21, 37, 51, 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, 59)(51, 53)(52, 57)(55, 60)
	local type(s) :: { ( 6^30 ) }
Outer automorphisms :: reflexible
Dual of E10.619
Transitivity :: ET+ VT+ AT+ REG+
Graph:: bipartite
	v = 2 e = 30 f = 10
	degree seq :: [ 30^2 ]

E10.619 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 6, 30})
Quotient :: regular
Aut^+ = C6 x D10 (small group id <60, 10>)
Aut   = C2 x S3 x D10 (small group id <120, 42>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T1^-1 * T2 * T1^2 * T2 * T1^-1, T1^6, 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, (T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-3)^5 ]
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, 58, 57, 60, 56, 59)
	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)
	local type(s) :: { ( 30^6 ) }
Outer automorphisms :: reflexible
Dual of E10.618
Transitivity :: ET+ VT+ AT+ REG+
Graph:: bipartite
	v = 10 e = 30 f = 2
	degree seq :: [ 6^10 ]

E10.620 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 6, 30})
Quotient :: edge
Aut^+ = C6 x D10 (small group id <60, 10>)
Aut   = C2 x S3 x D10 (small group id <120, 42>)
|r| :: 2
Presentation :: [ 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^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2 * T1, (T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-3)^5 ]
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, 62)(63, 67)(64, 69)(65, 71)(66, 73)(68, 72)(70, 74)(75, 83)(76, 85)(77, 84)(78, 86)(79, 87)(80, 89)(81, 88)(82, 90)(91, 97)(92, 98)(93, 99)(94, 100)(95, 101)(96, 102)(103, 109)(104, 110)(105, 111)(106, 112)(107, 113)(108, 114)(115, 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) :: { ( 60, 60 ), ( 60^6 ) }
Outer automorphisms :: reflexible
Dual of E10.624
Transitivity :: ET+
Graph:: simple bipartite
	v = 40 e = 60 f = 2
	degree seq :: [ 2^30, 6^10 ]

E10.621 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 6, 30})
Quotient :: edge
Aut^+ = C6 x D10 (small group id <60, 10>)
Aut   = C2 x S3 x D10 (small group id <120, 42>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, (T2^-1 * T1^-1)^2, T1^-2 * T2 * T1^-1 * T2 * T1^-1, T2 * T1^-1 * T2 * T1^3, (T2^-2 * T1)^2, T2^8 * T1 * T2^-2 * T1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 3, 10, 25, 37, 49, 54, 42, 30, 18, 6, 17, 29, 41, 53, 60, 55, 43, 31, 20, 13, 21, 33, 45, 57, 52, 40, 28, 15, 5)(2, 7, 19, 32, 44, 56, 48, 36, 24, 11, 16, 14, 27, 39, 51, 59, 47, 35, 23, 9, 4, 12, 26, 38, 50, 58, 46, 34, 22, 8)(61, 62, 66, 76, 73, 64)(63, 69, 77, 68, 81, 71)(65, 74, 78, 72, 80, 67)(70, 84, 89, 83, 93, 82)(75, 86, 90, 79, 91, 87)(85, 94, 101, 96, 105, 95)(88, 92, 102, 99, 103, 98)(97, 107, 113, 106, 117, 108)(100, 111, 114, 110, 115, 104)(109, 116, 120, 119, 112, 118)
	L = (1, 61)(2, 62)(3, 63)(4, 64)(5, 65)(6, 66)(7, 67)(8, 68)(9, 69)(10, 70)(11, 71)(12, 72)(13, 73)(14, 74)(15, 75)(16, 76)(17, 77)(18, 78)(19, 79)(20, 80)(21, 81)(22, 82)(23, 83)(24, 84)(25, 85)(26, 86)(27, 87)(28, 88)(29, 89)(30, 90)(31, 91)(32, 92)(33, 93)(34, 94)(35, 95)(36, 96)(37, 97)(38, 98)(39, 99)(40, 100)(41, 101)(42, 102)(43, 103)(44, 104)(45, 105)(46, 106)(47, 107)(48, 108)(49, 109)(50, 110)(51, 111)(52, 112)(53, 113)(54, 114)(55, 115)(56, 116)(57, 117)(58, 118)(59, 119)(60, 120)
	local type(s) :: { ( 4^6 ), ( 4^30 ) }
Outer automorphisms :: reflexible
Dual of E10.625
Transitivity :: ET+
Graph:: bipartite
	v = 12 e = 60 f = 30
	degree seq :: [ 6^10, 30^2 ]

E10.622 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 6, 30})
Quotient :: edge
Aut^+ = C6 x D10 (small group id <60, 10>)
Aut   = C2 x S3 x D10 (small group id <120, 42>)
|r| :: 2
Presentation :: [ 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^-3 * T2 * T1^2 * T2 * T1^-5 ]
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, 59)(51, 53)(52, 57)(55, 60)(61, 62, 65, 71, 83, 99, 113, 108, 92, 105, 94, 77, 89, 103, 116, 120, 119, 109, 93, 76, 88, 102, 95, 106, 118, 112, 98, 82, 70, 64)(63, 67, 75, 91, 107, 114, 104, 86, 72, 85, 80, 69, 79, 96, 110, 115, 100, 90, 74, 66, 73, 87, 81, 97, 111, 117, 101, 84, 78, 68)
	L = (1, 61)(2, 62)(3, 63)(4, 64)(5, 65)(6, 66)(7, 67)(8, 68)(9, 69)(10, 70)(11, 71)(12, 72)(13, 73)(14, 74)(15, 75)(16, 76)(17, 77)(18, 78)(19, 79)(20, 80)(21, 81)(22, 82)(23, 83)(24, 84)(25, 85)(26, 86)(27, 87)(28, 88)(29, 89)(30, 90)(31, 91)(32, 92)(33, 93)(34, 94)(35, 95)(36, 96)(37, 97)(38, 98)(39, 99)(40, 100)(41, 101)(42, 102)(43, 103)(44, 104)(45, 105)(46, 106)(47, 107)(48, 108)(49, 109)(50, 110)(51, 111)(52, 112)(53, 113)(54, 114)(55, 115)(56, 116)(57, 117)(58, 118)(59, 119)(60, 120)
	local type(s) :: { ( 12, 12 ), ( 12^30 ) }
Outer automorphisms :: reflexible
Dual of E10.623
Transitivity :: ET+
Graph:: simple bipartite
	v = 32 e = 60 f = 10
	degree seq :: [ 2^30, 30^2 ]

E10.623 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 6, 30})
Quotient :: loop
Aut^+ = C6 x D10 (small group id <60, 10>)
Aut   = C2 x S3 x D10 (small group id <120, 42>)
|r| :: 2
Presentation :: [ 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^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2 * T1, (T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-3)^5 ]
Map::
	R = (1, 61, 3, 63, 8, 68, 17, 77, 10, 70, 4, 64)(2, 62, 5, 65, 12, 72, 21, 81, 14, 74, 6, 66)(7, 67, 15, 75, 24, 84, 18, 78, 9, 69, 16, 76)(11, 71, 19, 79, 28, 88, 22, 82, 13, 73, 20, 80)(23, 83, 31, 91, 26, 86, 33, 93, 25, 85, 32, 92)(27, 87, 34, 94, 30, 90, 36, 96, 29, 89, 35, 95)(37, 97, 43, 103, 39, 99, 45, 105, 38, 98, 44, 104)(40, 100, 46, 106, 42, 102, 48, 108, 41, 101, 47, 107)(49, 109, 55, 115, 51, 111, 57, 117, 50, 110, 56, 116)(52, 112, 58, 118, 54, 114, 60, 120, 53, 113, 59, 119)
	L = (1, 62)(2, 61)(3, 67)(4, 69)(5, 71)(6, 73)(7, 63)(8, 72)(9, 64)(10, 74)(11, 65)(12, 68)(13, 66)(14, 70)(15, 83)(16, 85)(17, 84)(18, 86)(19, 87)(20, 89)(21, 88)(22, 90)(23, 75)(24, 77)(25, 76)(26, 78)(27, 79)(28, 81)(29, 80)(30, 82)(31, 97)(32, 98)(33, 99)(34, 100)(35, 101)(36, 102)(37, 91)(38, 92)(39, 93)(40, 94)(41, 95)(42, 96)(43, 109)(44, 110)(45, 111)(46, 112)(47, 113)(48, 114)(49, 103)(50, 104)(51, 105)(52, 106)(53, 107)(54, 108)(55, 118)(56, 119)(57, 120)(58, 115)(59, 116)(60, 117)
	local type(s) :: { ( 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30 ) }
Outer automorphisms :: reflexible
Dual of E10.622
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 10 e = 60 f = 32
	degree seq :: [ 12^10 ]

E10.624 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 6, 30})
Quotient :: loop
Aut^+ = C6 x D10 (small group id <60, 10>)
Aut   = C2 x S3 x D10 (small group id <120, 42>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, (T2^-1 * T1^-1)^2, T1^-2 * T2 * T1^-1 * T2 * T1^-1, T2 * T1^-1 * T2 * T1^3, (T2^-2 * T1)^2, T2^8 * T1 * T2^-2 * T1^-1 ]
Map::
	R = (1, 61, 3, 63, 10, 70, 25, 85, 37, 97, 49, 109, 54, 114, 42, 102, 30, 90, 18, 78, 6, 66, 17, 77, 29, 89, 41, 101, 53, 113, 60, 120, 55, 115, 43, 103, 31, 91, 20, 80, 13, 73, 21, 81, 33, 93, 45, 105, 57, 117, 52, 112, 40, 100, 28, 88, 15, 75, 5, 65)(2, 62, 7, 67, 19, 79, 32, 92, 44, 104, 56, 116, 48, 108, 36, 96, 24, 84, 11, 71, 16, 76, 14, 74, 27, 87, 39, 99, 51, 111, 59, 119, 47, 107, 35, 95, 23, 83, 9, 69, 4, 64, 12, 72, 26, 86, 38, 98, 50, 110, 58, 118, 46, 106, 34, 94, 22, 82, 8, 68)
	L = (1, 62)(2, 66)(3, 69)(4, 61)(5, 74)(6, 76)(7, 65)(8, 81)(9, 77)(10, 84)(11, 63)(12, 80)(13, 64)(14, 78)(15, 86)(16, 73)(17, 68)(18, 72)(19, 91)(20, 67)(21, 71)(22, 70)(23, 93)(24, 89)(25, 94)(26, 90)(27, 75)(28, 92)(29, 83)(30, 79)(31, 87)(32, 102)(33, 82)(34, 101)(35, 85)(36, 105)(37, 107)(38, 88)(39, 103)(40, 111)(41, 96)(42, 99)(43, 98)(44, 100)(45, 95)(46, 117)(47, 113)(48, 97)(49, 116)(50, 115)(51, 114)(52, 118)(53, 106)(54, 110)(55, 104)(56, 120)(57, 108)(58, 109)(59, 112)(60, 119)
	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 ) }
Outer automorphisms :: reflexible
Dual of E10.620
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 2 e = 60 f = 40
	degree seq :: [ 60^2 ]

E10.625 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 6, 30})
Quotient :: loop
Aut^+ = C6 x D10 (small group id <60, 10>)
Aut   = C2 x S3 x D10 (small group id <120, 42>)
|r| :: 2
Presentation :: [ 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^-3 * T2 * T1^2 * T2 * T1^-5 ]
Map:: polytopal non-degenerate
	R = (1, 61, 3, 63)(2, 62, 6, 66)(4, 64, 9, 69)(5, 65, 12, 72)(7, 67, 16, 76)(8, 68, 17, 77)(10, 70, 21, 81)(11, 71, 24, 84)(13, 73, 28, 88)(14, 74, 29, 89)(15, 75, 32, 92)(18, 78, 35, 95)(19, 79, 33, 93)(20, 80, 34, 94)(22, 82, 31, 91)(23, 83, 40, 100)(25, 85, 42, 102)(26, 86, 43, 103)(27, 87, 45, 105)(30, 90, 46, 106)(36, 96, 48, 108)(37, 97, 49, 109)(38, 98, 50, 110)(39, 99, 54, 114)(41, 101, 56, 116)(44, 104, 58, 118)(47, 107, 59, 119)(51, 111, 53, 113)(52, 112, 57, 117)(55, 115, 60, 120)
	L = (1, 62)(2, 65)(3, 67)(4, 61)(5, 71)(6, 73)(7, 75)(8, 63)(9, 79)(10, 64)(11, 83)(12, 85)(13, 87)(14, 66)(15, 91)(16, 88)(17, 89)(18, 68)(19, 96)(20, 69)(21, 97)(22, 70)(23, 99)(24, 78)(25, 80)(26, 72)(27, 81)(28, 102)(29, 103)(30, 74)(31, 107)(32, 105)(33, 76)(34, 77)(35, 106)(36, 110)(37, 111)(38, 82)(39, 113)(40, 90)(41, 84)(42, 95)(43, 116)(44, 86)(45, 94)(46, 118)(47, 114)(48, 92)(49, 93)(50, 115)(51, 117)(52, 98)(53, 108)(54, 104)(55, 100)(56, 120)(57, 101)(58, 112)(59, 109)(60, 119)
	local type(s) :: { ( 6, 30, 6, 30 ) }
Outer automorphisms :: reflexible
Dual of E10.621
Transitivity :: ET+ VT+ AT
Graph:: simple bipartite
	v = 30 e = 60 f = 12
	degree seq :: [ 4^30 ]

E10.626 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 30})
Quotient :: dipole
Aut^+ = C6 x D10 (small group id <60, 10>)
Aut   = C2 x S3 x D10 (small group id <120, 42>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y2^2 * Y1 * Y2^-2 * Y1, Y2^6, (Y2^-1 * R * Y2^-1)^2, 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)^30 ]
Map::
	R = (1, 61, 2, 62)(3, 63, 7, 67)(4, 64, 9, 69)(5, 65, 11, 71)(6, 66, 13, 73)(8, 68, 12, 72)(10, 70, 14, 74)(15, 75, 23, 83)(16, 76, 25, 85)(17, 77, 24, 84)(18, 78, 26, 86)(19, 79, 27, 87)(20, 80, 29, 89)(21, 81, 28, 88)(22, 82, 30, 90)(31, 91, 37, 97)(32, 92, 38, 98)(33, 93, 39, 99)(34, 94, 40, 100)(35, 95, 41, 101)(36, 96, 42, 102)(43, 103, 49, 109)(44, 104, 50, 110)(45, 105, 51, 111)(46, 106, 52, 112)(47, 107, 53, 113)(48, 108, 54, 114)(55, 115, 58, 118)(56, 116, 59, 119)(57, 117, 60, 120)(121, 181, 123, 183, 128, 188, 137, 197, 130, 190, 124, 184)(122, 182, 125, 185, 132, 192, 141, 201, 134, 194, 126, 186)(127, 187, 135, 195, 144, 204, 138, 198, 129, 189, 136, 196)(131, 191, 139, 199, 148, 208, 142, 202, 133, 193, 140, 200)(143, 203, 151, 211, 146, 206, 153, 213, 145, 205, 152, 212)(147, 207, 154, 214, 150, 210, 156, 216, 149, 209, 155, 215)(157, 217, 163, 223, 159, 219, 165, 225, 158, 218, 164, 224)(160, 220, 166, 226, 162, 222, 168, 228, 161, 221, 167, 227)(169, 229, 175, 235, 171, 231, 177, 237, 170, 230, 176, 236)(172, 232, 178, 238, 174, 234, 180, 240, 173, 233, 179, 239)
	L = (1, 122)(2, 121)(3, 127)(4, 129)(5, 131)(6, 133)(7, 123)(8, 132)(9, 124)(10, 134)(11, 125)(12, 128)(13, 126)(14, 130)(15, 143)(16, 145)(17, 144)(18, 146)(19, 147)(20, 149)(21, 148)(22, 150)(23, 135)(24, 137)(25, 136)(26, 138)(27, 139)(28, 141)(29, 140)(30, 142)(31, 157)(32, 158)(33, 159)(34, 160)(35, 161)(36, 162)(37, 151)(38, 152)(39, 153)(40, 154)(41, 155)(42, 156)(43, 169)(44, 170)(45, 171)(46, 172)(47, 173)(48, 174)(49, 163)(50, 164)(51, 165)(52, 166)(53, 167)(54, 168)(55, 178)(56, 179)(57, 180)(58, 175)(59, 176)(60, 177)(61, 181)(62, 182)(63, 183)(64, 184)(65, 185)(66, 186)(67, 187)(68, 188)(69, 189)(70, 190)(71, 191)(72, 192)(73, 193)(74, 194)(75, 195)(76, 196)(77, 197)(78, 198)(79, 199)(80, 200)(81, 201)(82, 202)(83, 203)(84, 204)(85, 205)(86, 206)(87, 207)(88, 208)(89, 209)(90, 210)(91, 211)(92, 212)(93, 213)(94, 214)(95, 215)(96, 216)(97, 217)(98, 218)(99, 219)(100, 220)(101, 221)(102, 222)(103, 223)(104, 224)(105, 225)(106, 226)(107, 227)(108, 228)(109, 229)(110, 230)(111, 231)(112, 232)(113, 233)(114, 234)(115, 235)(116, 236)(117, 237)(118, 238)(119, 239)(120, 240)
	local type(s) :: { ( 2, 60, 2, 60 ), ( 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60 ) }
Outer automorphisms :: reflexible
Dual of E10.629
Graph:: bipartite
	v = 40 e = 120 f = 62
	degree seq :: [ 4^30, 12^10 ]

E10.627 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 30})
Quotient :: dipole
Aut^+ = C6 x D10 (small group id <60, 10>)
Aut   = C2 x S3 x D10 (small group id <120, 42>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, (R * Y1)^2, (R * Y3)^2, (Y2^-1 * Y1^-1)^2, (Y3^-1 * Y1^-1)^2, Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-2, Y2^-1 * Y1 * Y2^-1 * Y1^-3, Y1^6, (Y2^2 * Y1^-1)^2, Y2^8 * Y1 * Y2^-2 * Y1^-1 ]
Map::
	R = (1, 61, 2, 62, 6, 66, 16, 76, 13, 73, 4, 64)(3, 63, 9, 69, 17, 77, 8, 68, 21, 81, 11, 71)(5, 65, 14, 74, 18, 78, 12, 72, 20, 80, 7, 67)(10, 70, 24, 84, 29, 89, 23, 83, 33, 93, 22, 82)(15, 75, 26, 86, 30, 90, 19, 79, 31, 91, 27, 87)(25, 85, 34, 94, 41, 101, 36, 96, 45, 105, 35, 95)(28, 88, 32, 92, 42, 102, 39, 99, 43, 103, 38, 98)(37, 97, 47, 107, 53, 113, 46, 106, 57, 117, 48, 108)(40, 100, 51, 111, 54, 114, 50, 110, 55, 115, 44, 104)(49, 109, 56, 116, 60, 120, 59, 119, 52, 112, 58, 118)(121, 181, 123, 183, 130, 190, 145, 205, 157, 217, 169, 229, 174, 234, 162, 222, 150, 210, 138, 198, 126, 186, 137, 197, 149, 209, 161, 221, 173, 233, 180, 240, 175, 235, 163, 223, 151, 211, 140, 200, 133, 193, 141, 201, 153, 213, 165, 225, 177, 237, 172, 232, 160, 220, 148, 208, 135, 195, 125, 185)(122, 182, 127, 187, 139, 199, 152, 212, 164, 224, 176, 236, 168, 228, 156, 216, 144, 204, 131, 191, 136, 196, 134, 194, 147, 207, 159, 219, 171, 231, 179, 239, 167, 227, 155, 215, 143, 203, 129, 189, 124, 184, 132, 192, 146, 206, 158, 218, 170, 230, 178, 238, 166, 226, 154, 214, 142, 202, 128, 188)
	L = (1, 123)(2, 127)(3, 130)(4, 132)(5, 121)(6, 137)(7, 139)(8, 122)(9, 124)(10, 145)(11, 136)(12, 146)(13, 141)(14, 147)(15, 125)(16, 134)(17, 149)(18, 126)(19, 152)(20, 133)(21, 153)(22, 128)(23, 129)(24, 131)(25, 157)(26, 158)(27, 159)(28, 135)(29, 161)(30, 138)(31, 140)(32, 164)(33, 165)(34, 142)(35, 143)(36, 144)(37, 169)(38, 170)(39, 171)(40, 148)(41, 173)(42, 150)(43, 151)(44, 176)(45, 177)(46, 154)(47, 155)(48, 156)(49, 174)(50, 178)(51, 179)(52, 160)(53, 180)(54, 162)(55, 163)(56, 168)(57, 172)(58, 166)(59, 167)(60, 175)(61, 181)(62, 182)(63, 183)(64, 184)(65, 185)(66, 186)(67, 187)(68, 188)(69, 189)(70, 190)(71, 191)(72, 192)(73, 193)(74, 194)(75, 195)(76, 196)(77, 197)(78, 198)(79, 199)(80, 200)(81, 201)(82, 202)(83, 203)(84, 204)(85, 205)(86, 206)(87, 207)(88, 208)(89, 209)(90, 210)(91, 211)(92, 212)(93, 213)(94, 214)(95, 215)(96, 216)(97, 217)(98, 218)(99, 219)(100, 220)(101, 221)(102, 222)(103, 223)(104, 224)(105, 225)(106, 226)(107, 227)(108, 228)(109, 229)(110, 230)(111, 231)(112, 232)(113, 233)(114, 234)(115, 235)(116, 236)(117, 237)(118, 238)(119, 239)(120, 240)
	local type(s) :: { ( 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4 ), ( 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 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 E10.628
Graph:: bipartite
	v = 12 e = 120 f = 90
	degree seq :: [ 12^10, 60^2 ]

E10.628 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 30})
Quotient :: dipole
Aut^+ = C6 x D10 (small group id <60, 10>)
Aut   = C2 x S3 x D10 (small group id <120, 42>)
|r| :: 2
Presentation :: [ Y1, 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, Y3^2 * Y2 * Y3^-8 * Y2, (Y3^-1 * Y1^-1)^30 ]
Map:: polytopal
	R = (1, 61)(2, 62)(3, 63)(4, 64)(5, 65)(6, 66)(7, 67)(8, 68)(9, 69)(10, 70)(11, 71)(12, 72)(13, 73)(14, 74)(15, 75)(16, 76)(17, 77)(18, 78)(19, 79)(20, 80)(21, 81)(22, 82)(23, 83)(24, 84)(25, 85)(26, 86)(27, 87)(28, 88)(29, 89)(30, 90)(31, 91)(32, 92)(33, 93)(34, 94)(35, 95)(36, 96)(37, 97)(38, 98)(39, 99)(40, 100)(41, 101)(42, 102)(43, 103)(44, 104)(45, 105)(46, 106)(47, 107)(48, 108)(49, 109)(50, 110)(51, 111)(52, 112)(53, 113)(54, 114)(55, 115)(56, 116)(57, 117)(58, 118)(59, 119)(60, 120)(121, 181, 122, 182)(123, 183, 127, 187)(124, 184, 129, 189)(125, 185, 131, 191)(126, 186, 133, 193)(128, 188, 137, 197)(130, 190, 141, 201)(132, 192, 145, 205)(134, 194, 149, 209)(135, 195, 143, 203)(136, 196, 147, 207)(138, 198, 150, 210)(139, 199, 144, 204)(140, 200, 148, 208)(142, 202, 146, 206)(151, 211, 161, 221)(152, 212, 165, 225)(153, 213, 159, 219)(154, 214, 164, 224)(155, 215, 167, 227)(156, 216, 162, 222)(157, 217, 160, 220)(158, 218, 170, 230)(163, 223, 173, 233)(166, 226, 176, 236)(168, 228, 177, 237)(169, 229, 175, 235)(171, 231, 174, 234)(172, 232, 178, 238)(179, 239, 180, 240)
	L = (1, 123)(2, 125)(3, 128)(4, 121)(5, 132)(6, 122)(7, 135)(8, 138)(9, 139)(10, 124)(11, 143)(12, 146)(13, 147)(14, 126)(15, 151)(16, 127)(17, 153)(18, 155)(19, 156)(20, 129)(21, 157)(22, 130)(23, 159)(24, 131)(25, 161)(26, 163)(27, 164)(28, 133)(29, 165)(30, 134)(31, 141)(32, 136)(33, 140)(34, 137)(35, 169)(36, 170)(37, 171)(38, 142)(39, 149)(40, 144)(41, 148)(42, 145)(43, 175)(44, 176)(45, 177)(46, 150)(47, 152)(48, 154)(49, 174)(50, 179)(51, 178)(52, 158)(53, 160)(54, 162)(55, 168)(56, 180)(57, 172)(58, 166)(59, 167)(60, 173)(61, 181)(62, 182)(63, 183)(64, 184)(65, 185)(66, 186)(67, 187)(68, 188)(69, 189)(70, 190)(71, 191)(72, 192)(73, 193)(74, 194)(75, 195)(76, 196)(77, 197)(78, 198)(79, 199)(80, 200)(81, 201)(82, 202)(83, 203)(84, 204)(85, 205)(86, 206)(87, 207)(88, 208)(89, 209)(90, 210)(91, 211)(92, 212)(93, 213)(94, 214)(95, 215)(96, 216)(97, 217)(98, 218)(99, 219)(100, 220)(101, 221)(102, 222)(103, 223)(104, 224)(105, 225)(106, 226)(107, 227)(108, 228)(109, 229)(110, 230)(111, 231)(112, 232)(113, 233)(114, 234)(115, 235)(116, 236)(117, 237)(118, 238)(119, 239)(120, 240)
	local type(s) :: { ( 12, 60 ), ( 12, 60, 12, 60 ) }
Outer automorphisms :: reflexible
Dual of E10.627
Graph:: simple bipartite
	v = 90 e = 120 f = 12
	degree seq :: [ 2^60, 4^30 ]

E10.629 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 30})
Quotient :: dipole
Aut^+ = C6 x D10 (small group id <60, 10>)
Aut   = C2 x S3 x D10 (small group id <120, 42>)
|r| :: 2
Presentation :: [ Y2, R^2, Y3^2, R * Y2 * R * Y2^-1, (R * Y1)^2, (R * Y3)^2, (Y3 * Y2^-1)^2, Y3 * Y1 * Y3 * Y1 * Y3 * Y1^-1 * Y3 * Y1^-1, (Y1^-1 * Y3 * Y1^-2)^2, Y1^-3 * Y3 * Y1^2 * Y3 * Y1^-5 ]
Map::
	R = (1, 61, 2, 62, 5, 65, 11, 71, 23, 83, 39, 99, 53, 113, 48, 108, 32, 92, 45, 105, 34, 94, 17, 77, 29, 89, 43, 103, 56, 116, 60, 120, 59, 119, 49, 109, 33, 93, 16, 76, 28, 88, 42, 102, 35, 95, 46, 106, 58, 118, 52, 112, 38, 98, 22, 82, 10, 70, 4, 64)(3, 63, 7, 67, 15, 75, 31, 91, 47, 107, 54, 114, 44, 104, 26, 86, 12, 72, 25, 85, 20, 80, 9, 69, 19, 79, 36, 96, 50, 110, 55, 115, 40, 100, 30, 90, 14, 74, 6, 66, 13, 73, 27, 87, 21, 81, 37, 97, 51, 111, 57, 117, 41, 101, 24, 84, 18, 78, 8, 68)(121, 181)(122, 182)(123, 183)(124, 184)(125, 185)(126, 186)(127, 187)(128, 188)(129, 189)(130, 190)(131, 191)(132, 192)(133, 193)(134, 194)(135, 195)(136, 196)(137, 197)(138, 198)(139, 199)(140, 200)(141, 201)(142, 202)(143, 203)(144, 204)(145, 205)(146, 206)(147, 207)(148, 208)(149, 209)(150, 210)(151, 211)(152, 212)(153, 213)(154, 214)(155, 215)(156, 216)(157, 217)(158, 218)(159, 219)(160, 220)(161, 221)(162, 222)(163, 223)(164, 224)(165, 225)(166, 226)(167, 227)(168, 228)(169, 229)(170, 230)(171, 231)(172, 232)(173, 233)(174, 234)(175, 235)(176, 236)(177, 237)(178, 238)(179, 239)(180, 240)
	L = (1, 123)(2, 126)(3, 121)(4, 129)(5, 132)(6, 122)(7, 136)(8, 137)(9, 124)(10, 141)(11, 144)(12, 125)(13, 148)(14, 149)(15, 152)(16, 127)(17, 128)(18, 155)(19, 153)(20, 154)(21, 130)(22, 151)(23, 160)(24, 131)(25, 162)(26, 163)(27, 165)(28, 133)(29, 134)(30, 166)(31, 142)(32, 135)(33, 139)(34, 140)(35, 138)(36, 168)(37, 169)(38, 170)(39, 174)(40, 143)(41, 176)(42, 145)(43, 146)(44, 178)(45, 147)(46, 150)(47, 179)(48, 156)(49, 157)(50, 158)(51, 173)(52, 177)(53, 171)(54, 159)(55, 180)(56, 161)(57, 172)(58, 164)(59, 167)(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, 12 ), ( 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 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 E10.626
Graph:: simple bipartite
	v = 62 e = 120 f = 40
	degree seq :: [ 2^60, 60^2 ]

E10.630 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 30})
Quotient :: dipole
Aut^+ = C6 x D10 (small group id <60, 10>)
Aut   = C2 x S3 x D10 (small group id <120, 42>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, (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, Y2^-4 * Y1 * Y2^5 * Y1 * Y2^-1, (Y2^-1 * R * Y2^-4)^2, (Y3 * Y2^-1)^6 ]
Map::
	R = (1, 61, 2, 62)(3, 63, 7, 67)(4, 64, 9, 69)(5, 65, 11, 71)(6, 66, 13, 73)(8, 68, 17, 77)(10, 70, 21, 81)(12, 72, 25, 85)(14, 74, 29, 89)(15, 75, 23, 83)(16, 76, 27, 87)(18, 78, 30, 90)(19, 79, 24, 84)(20, 80, 28, 88)(22, 82, 26, 86)(31, 91, 41, 101)(32, 92, 45, 105)(33, 93, 39, 99)(34, 94, 44, 104)(35, 95, 47, 107)(36, 96, 42, 102)(37, 97, 40, 100)(38, 98, 50, 110)(43, 103, 53, 113)(46, 106, 56, 116)(48, 108, 57, 117)(49, 109, 55, 115)(51, 111, 54, 114)(52, 112, 58, 118)(59, 119, 60, 120)(121, 181, 123, 183, 128, 188, 138, 198, 155, 215, 169, 229, 174, 234, 162, 222, 145, 205, 161, 221, 148, 208, 133, 193, 147, 207, 164, 224, 176, 236, 180, 240, 173, 233, 160, 220, 144, 204, 131, 191, 143, 203, 159, 219, 149, 209, 165, 225, 177, 237, 172, 232, 158, 218, 142, 202, 130, 190, 124, 184)(122, 182, 125, 185, 132, 192, 146, 206, 163, 223, 175, 235, 168, 228, 154, 214, 137, 197, 153, 213, 140, 200, 129, 189, 139, 199, 156, 216, 170, 230, 179, 239, 167, 227, 152, 212, 136, 196, 127, 187, 135, 195, 151, 211, 141, 201, 157, 217, 171, 231, 178, 238, 166, 226, 150, 210, 134, 194, 126, 186)
	L = (1, 122)(2, 121)(3, 127)(4, 129)(5, 131)(6, 133)(7, 123)(8, 137)(9, 124)(10, 141)(11, 125)(12, 145)(13, 126)(14, 149)(15, 143)(16, 147)(17, 128)(18, 150)(19, 144)(20, 148)(21, 130)(22, 146)(23, 135)(24, 139)(25, 132)(26, 142)(27, 136)(28, 140)(29, 134)(30, 138)(31, 161)(32, 165)(33, 159)(34, 164)(35, 167)(36, 162)(37, 160)(38, 170)(39, 153)(40, 157)(41, 151)(42, 156)(43, 173)(44, 154)(45, 152)(46, 176)(47, 155)(48, 177)(49, 175)(50, 158)(51, 174)(52, 178)(53, 163)(54, 171)(55, 169)(56, 166)(57, 168)(58, 172)(59, 180)(60, 179)(61, 181)(62, 182)(63, 183)(64, 184)(65, 185)(66, 186)(67, 187)(68, 188)(69, 189)(70, 190)(71, 191)(72, 192)(73, 193)(74, 194)(75, 195)(76, 196)(77, 197)(78, 198)(79, 199)(80, 200)(81, 201)(82, 202)(83, 203)(84, 204)(85, 205)(86, 206)(87, 207)(88, 208)(89, 209)(90, 210)(91, 211)(92, 212)(93, 213)(94, 214)(95, 215)(96, 216)(97, 217)(98, 218)(99, 219)(100, 220)(101, 221)(102, 222)(103, 223)(104, 224)(105, 225)(106, 226)(107, 227)(108, 228)(109, 229)(110, 230)(111, 231)(112, 232)(113, 233)(114, 234)(115, 235)(116, 236)(117, 237)(118, 238)(119, 239)(120, 240)
	local type(s) :: { ( 2, 12, 2, 12 ), ( 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 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 E10.631
Graph:: bipartite
	v = 32 e = 120 f = 70
	degree seq :: [ 4^30, 60^2 ]

E10.631 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 30})
Quotient :: dipole
Aut^+ = C6 x D10 (small group id <60, 10>)
Aut   = C2 x S3 x D10 (small group id <120, 42>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y1)^2, (R * Y3)^2, (Y3^-1 * Y1^-1)^2, Y3^-1 * Y1^-3 * Y3^-1 * Y1, (R * Y2 * Y3^-1)^2, Y3 * Y1^-3 * Y3 * Y1^-1, Y1 * Y3^-10 * Y1, (Y3 * Y2^-1)^30 ]
Map::
	R = (1, 61, 2, 62, 6, 66, 16, 76, 13, 73, 4, 64)(3, 63, 9, 69, 17, 77, 8, 68, 21, 81, 11, 71)(5, 65, 14, 74, 18, 78, 12, 72, 20, 80, 7, 67)(10, 70, 24, 84, 29, 89, 23, 83, 33, 93, 22, 82)(15, 75, 26, 86, 30, 90, 19, 79, 31, 91, 27, 87)(25, 85, 34, 94, 41, 101, 36, 96, 45, 105, 35, 95)(28, 88, 32, 92, 42, 102, 39, 99, 43, 103, 38, 98)(37, 97, 47, 107, 53, 113, 46, 106, 57, 117, 48, 108)(40, 100, 51, 111, 54, 114, 50, 110, 55, 115, 44, 104)(49, 109, 56, 116, 60, 120, 59, 119, 52, 112, 58, 118)(121, 181)(122, 182)(123, 183)(124, 184)(125, 185)(126, 186)(127, 187)(128, 188)(129, 189)(130, 190)(131, 191)(132, 192)(133, 193)(134, 194)(135, 195)(136, 196)(137, 197)(138, 198)(139, 199)(140, 200)(141, 201)(142, 202)(143, 203)(144, 204)(145, 205)(146, 206)(147, 207)(148, 208)(149, 209)(150, 210)(151, 211)(152, 212)(153, 213)(154, 214)(155, 215)(156, 216)(157, 217)(158, 218)(159, 219)(160, 220)(161, 221)(162, 222)(163, 223)(164, 224)(165, 225)(166, 226)(167, 227)(168, 228)(169, 229)(170, 230)(171, 231)(172, 232)(173, 233)(174, 234)(175, 235)(176, 236)(177, 237)(178, 238)(179, 239)(180, 240)
	L = (1, 123)(2, 127)(3, 130)(4, 132)(5, 121)(6, 137)(7, 139)(8, 122)(9, 124)(10, 145)(11, 136)(12, 146)(13, 141)(14, 147)(15, 125)(16, 134)(17, 149)(18, 126)(19, 152)(20, 133)(21, 153)(22, 128)(23, 129)(24, 131)(25, 157)(26, 158)(27, 159)(28, 135)(29, 161)(30, 138)(31, 140)(32, 164)(33, 165)(34, 142)(35, 143)(36, 144)(37, 169)(38, 170)(39, 171)(40, 148)(41, 173)(42, 150)(43, 151)(44, 176)(45, 177)(46, 154)(47, 155)(48, 156)(49, 174)(50, 178)(51, 179)(52, 160)(53, 180)(54, 162)(55, 163)(56, 168)(57, 172)(58, 166)(59, 167)(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, 60 ), ( 4, 60, 4, 60, 4, 60, 4, 60, 4, 60, 4, 60 ) }
Outer automorphisms :: reflexible
Dual of E10.630
Graph:: simple bipartite
	v = 70 e = 120 f = 32
	degree seq :: [ 2^60, 12^10 ]

E10.632 :: Family: { 5 } :: Oriented family(ies): { E3a }
Signature :: (0; {3, 3, 21})
Quotient :: edge
Aut^+ = C3 x (C7 : C3) (small group id <63, 3>)
Aut   = C3 x (C7 : C3) (small group id <63, 3>)
|r| :: 1
Presentation :: [ X1^3, (X2 * X1^-1)^3, (X2^-1 * X1^-1)^3, X2 * X1^-1 * X2^-4 * X1 ]
Map:: polytopal non-degenerate
	R = (1, 2, 4)(3, 8, 10)(5, 13, 14)(6, 16, 18)(7, 19, 20)(9, 24, 26)(11, 28, 30)(12, 31, 22)(15, 35, 36)(17, 39, 41)(21, 43, 44)(23, 46, 37)(25, 33, 49)(27, 51, 48)(29, 53, 54)(32, 55, 56)(34, 52, 58)(38, 60, 45)(40, 42, 61)(47, 59, 63)(50, 62, 57)(64, 66, 72, 88, 81, 94, 114, 125, 104, 123, 118, 116, 124, 107, 126, 115, 91, 83, 100, 78, 68)(65, 69, 80, 103, 93, 76, 96, 120, 117, 121, 98, 87, 111, 119, 110, 86, 71, 85, 108, 84, 70)(67, 74, 92, 90, 73, 82, 105, 113, 89, 109, 106, 102, 112, 99, 122, 101, 79, 77, 97, 95, 75)
	L = (1, 64)(2, 65)(3, 66)(4, 67)(5, 68)(6, 69)(7, 70)(8, 71)(9, 72)(10, 73)(11, 74)(12, 75)(13, 76)(14, 77)(15, 78)(16, 79)(17, 80)(18, 81)(19, 82)(20, 83)(21, 84)(22, 85)(23, 86)(24, 87)(25, 88)(26, 89)(27, 90)(28, 91)(29, 92)(30, 93)(31, 94)(32, 95)(33, 96)(34, 97)(35, 98)(36, 99)(37, 100)(38, 101)(39, 102)(40, 103)(41, 104)(42, 105)(43, 106)(44, 107)(45, 108)(46, 109)(47, 110)(48, 111)(49, 112)(50, 113)(51, 114)(52, 115)(53, 116)(54, 117)(55, 118)(56, 119)(57, 120)(58, 121)(59, 122)(60, 123)(61, 124)(62, 125)(63, 126)
	local type(s) :: { ( 6^3 ), ( 6^21 ) }
Outer automorphisms :: chiral
Transitivity :: ET+
Graph:: simple bipartite
	v = 24 e = 63 f = 21
	degree seq :: [ 3^21, 21^3 ]

E10.633 :: Family: { 5* } :: Oriented family(ies): { E3*a }
Signature :: (0; {3, 3, 21})
Quotient :: loop
Aut^+ = C3 x (C7 : C3) (small group id <63, 3>)
Aut   = C3 x (C7 : C3) (small group id <63, 3>)
|r| :: 1
Presentation :: [ X1^3, X2^3, X1^2 * X2^-3 * X1, (X2 * X1^-1)^3, X1 * X2 * X1^-1 * X2^-1 * X1^-1 * X2^-1 * X1^-1 * X2^-1 * X1^-1 * X2^-1 ]
Map:: polytopal non-degenerate
	R = (1, 64, 2, 65, 4, 67)(3, 66, 8, 71, 9, 72)(5, 68, 12, 75, 13, 76)(6, 69, 14, 77, 15, 78)(7, 70, 16, 79, 17, 80)(10, 73, 21, 84, 22, 85)(11, 74, 23, 86, 24, 87)(18, 81, 33, 96, 34, 97)(19, 82, 26, 89, 35, 98)(20, 83, 36, 99, 37, 100)(25, 88, 42, 105, 43, 106)(27, 90, 44, 107, 45, 108)(28, 91, 46, 109, 47, 110)(29, 92, 31, 94, 48, 111)(30, 93, 49, 112, 50, 113)(32, 95, 51, 114, 52, 115)(38, 101, 57, 120, 58, 121)(39, 102, 40, 103, 59, 122)(41, 104, 53, 116, 55, 118)(54, 117, 62, 125, 60, 123)(56, 119, 61, 124, 63, 126)
	L = (1, 66)(2, 69)(3, 68)(4, 73)(5, 64)(6, 70)(7, 65)(8, 81)(9, 79)(10, 74)(11, 67)(12, 88)(13, 89)(14, 91)(15, 86)(16, 83)(17, 94)(18, 82)(19, 71)(20, 72)(21, 101)(22, 75)(23, 93)(24, 103)(25, 85)(26, 90)(27, 76)(28, 92)(29, 77)(30, 78)(31, 95)(32, 80)(33, 113)(34, 99)(35, 118)(36, 117)(37, 114)(38, 102)(39, 84)(40, 104)(41, 87)(42, 123)(43, 107)(44, 109)(45, 124)(46, 106)(47, 112)(48, 108)(49, 125)(50, 116)(51, 120)(52, 126)(53, 96)(54, 97)(55, 119)(56, 98)(57, 100)(58, 105)(59, 115)(60, 121)(61, 111)(62, 110)(63, 122)
	local type(s) :: { ( 3, 21, 3, 21, 3, 21 ) }
Outer automorphisms :: chiral
Transitivity :: ET+ VT+
Graph:: simple
	v = 21 e = 63 f = 24
	degree seq :: [ 6^21 ]

E10.634 :: Family: { 2*ex } :: Oriented family(ies): { E3c }
Signature :: (0; {3, 3, 21})
Quotient :: loop
Aut^+ = C3 x (C7 : C3) (small group id <63, 3>)
Aut   = (C3 x (C7 : C3)) : C2 (small group id <126, 9>)
|r| :: 2
Presentation :: [ F^2, T1^3, T2^3, F * T1 * F * T2, (T2^-1 * T1)^3, T2 * T1 * T2 * T1^-1 * T2 * T1^-1 * T2^-1 * T1^-1 * T2 * T1^-1, T1 * T2 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 ]
Map:: polytopal non-degenerate
	R = (1, 3, 5)(2, 6, 7)(4, 10, 11)(8, 18, 19)(9, 16, 20)(12, 25, 22)(13, 26, 27)(14, 28, 29)(15, 23, 30)(17, 31, 32)(21, 38, 39)(24, 40, 41)(33, 50, 53)(34, 36, 54)(35, 55, 56)(37, 51, 57)(42, 60, 58)(43, 44, 46)(45, 61, 48)(47, 49, 62)(52, 63, 59)(64, 65, 67)(66, 71, 72)(68, 75, 76)(69, 77, 78)(70, 79, 80)(73, 84, 85)(74, 86, 87)(81, 96, 97)(82, 89, 98)(83, 99, 100)(88, 105, 106)(90, 107, 108)(91, 109, 110)(92, 94, 111)(93, 112, 113)(95, 114, 115)(101, 120, 121)(102, 103, 122)(104, 116, 118)(117, 125, 123)(119, 124, 126)
	L = (1, 64)(2, 65)(3, 66)(4, 67)(5, 68)(6, 69)(7, 70)(8, 71)(9, 72)(10, 73)(11, 74)(12, 75)(13, 76)(14, 77)(15, 78)(16, 79)(17, 80)(18, 81)(19, 82)(20, 83)(21, 84)(22, 85)(23, 86)(24, 87)(25, 88)(26, 89)(27, 90)(28, 91)(29, 92)(30, 93)(31, 94)(32, 95)(33, 96)(34, 97)(35, 98)(36, 99)(37, 100)(38, 101)(39, 102)(40, 103)(41, 104)(42, 105)(43, 106)(44, 107)(45, 108)(46, 109)(47, 110)(48, 111)(49, 112)(50, 113)(51, 114)(52, 115)(53, 116)(54, 117)(55, 118)(56, 119)(57, 120)(58, 121)(59, 122)(60, 123)(61, 124)(62, 125)(63, 126)
	local type(s) :: { ( 42^3 ) }
Outer automorphisms :: reflexible
Dual of E10.635
Transitivity :: ET+ VT AT
Graph:: simple bipartite
	v = 42 e = 63 f = 3
	degree seq :: [ 3^42 ]

E10.635 :: Family: { 2ex } :: Oriented family(ies): { E3*c }
Signature :: (0; {3, 3, 21})
Quotient :: edge
Aut^+ = C3 x (C7 : C3) (small group id <63, 3>)
Aut   = (C3 x (C7 : C3)) : C2 (small group id <126, 9>)
|r| :: 2
Presentation :: [ F^2, T1^3, (F * T2)^2, F * T1 * T2 * F * T1^-1, (T2 * T1^-1)^3, (T2^-1 * T1^-1)^3, T2 * T1^-1 * T2^-4 * T1 ]
Map:: polytopal non-degenerate
	R = (1, 64, 3, 66, 9, 72, 25, 88, 18, 81, 31, 94, 51, 114, 62, 125, 41, 104, 60, 123, 55, 118, 53, 116, 61, 124, 44, 107, 63, 126, 52, 115, 28, 91, 20, 83, 37, 100, 15, 78, 5, 68)(2, 65, 6, 69, 17, 80, 40, 103, 30, 93, 13, 76, 33, 96, 57, 120, 54, 117, 58, 121, 35, 98, 24, 87, 48, 111, 56, 119, 47, 110, 23, 86, 8, 71, 22, 85, 45, 108, 21, 84, 7, 70)(4, 67, 11, 74, 29, 92, 27, 90, 10, 73, 19, 82, 42, 105, 50, 113, 26, 89, 46, 109, 43, 106, 39, 102, 49, 112, 36, 99, 59, 122, 38, 101, 16, 79, 14, 77, 34, 97, 32, 95, 12, 75)
	L = (1, 65)(2, 67)(3, 71)(4, 64)(5, 76)(6, 79)(7, 82)(8, 73)(9, 87)(10, 66)(11, 91)(12, 94)(13, 77)(14, 68)(15, 98)(16, 81)(17, 102)(18, 69)(19, 83)(20, 70)(21, 106)(22, 75)(23, 109)(24, 89)(25, 96)(26, 72)(27, 114)(28, 93)(29, 116)(30, 74)(31, 85)(32, 118)(33, 112)(34, 115)(35, 99)(36, 78)(37, 86)(38, 123)(39, 104)(40, 105)(41, 80)(42, 124)(43, 107)(44, 84)(45, 101)(46, 100)(47, 122)(48, 90)(49, 88)(50, 125)(51, 111)(52, 121)(53, 117)(54, 92)(55, 119)(56, 95)(57, 113)(58, 97)(59, 126)(60, 108)(61, 103)(62, 120)(63, 110)
	local type(s) :: { ( 3^42 ) }
Outer automorphisms :: reflexible
Dual of E10.634
Transitivity :: ET+ VT+
Graph::
	v = 3 e = 63 f = 42
	degree seq :: [ 42^3 ]

E10.636 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {3, 3, 21})
Quotient :: edge^2
Aut^+ = C3 x (C7 : C3) (small group id <63, 3>)
Aut   = (C3 x (C7 : C3)) : C2 (small group id <126, 9>)
|r| :: 2
Presentation :: [ R^2, Y2^3, Y1^-1 * Y3^-1 * Y2^-1, Y1^3, R * Y2 * R * Y1, (R * Y3)^2, Y3 * Y2^-1 * Y3 * Y2 * Y1^-1 * Y2^-1, Y3 * Y2 * Y1 * Y3^-1 * Y1^-1 * Y2^-1, Y3^3 * Y2^-1 * Y3^-1 * Y1^-1, (Y1 * Y3 * Y2)^7 ]
Map:: polytopal non-degenerate
	R = (1, 64, 4, 67, 15, 78, 24, 87, 26, 89, 11, 74, 32, 95, 52, 115, 53, 116, 56, 119, 35, 98, 45, 108, 58, 121, 59, 122, 63, 126, 46, 109, 19, 82, 30, 93, 48, 111, 23, 86, 7, 70)(2, 65, 8, 71, 25, 88, 43, 106, 44, 107, 21, 84, 41, 104, 60, 123, 61, 124, 62, 125, 42, 105, 17, 80, 33, 96, 36, 99, 49, 112, 20, 83, 6, 69, 12, 75, 34, 97, 31, 94, 10, 73)(3, 66, 5, 68, 18, 81, 38, 101, 14, 77, 16, 79, 29, 92, 54, 117, 39, 102, 40, 103, 47, 110, 55, 118, 27, 90, 50, 113, 51, 114, 57, 120, 28, 91, 9, 72, 22, 85, 37, 100, 13, 76)(127, 128, 131)(129, 137, 138)(130, 132, 142)(133, 147, 148)(134, 135, 152)(136, 155, 156)(139, 161, 162)(140, 158, 159)(141, 143, 166)(144, 145, 170)(146, 173, 174)(149, 168, 177)(150, 167, 176)(151, 153, 179)(154, 182, 160)(157, 181, 185)(163, 172, 188)(164, 171, 187)(165, 178, 186)(169, 180, 184)(175, 183, 189)(190, 192, 195)(191, 196, 198)(193, 203, 206)(194, 199, 208)(197, 213, 216)(200, 202, 222)(201, 215, 217)(204, 228, 230)(205, 209, 219)(207, 232, 234)(210, 212, 239)(211, 233, 235)(214, 241, 243)(218, 220, 247)(221, 227, 249)(223, 242, 244)(224, 226, 250)(225, 245, 246)(229, 231, 237)(236, 238, 248)(240, 251, 252)
	L = (1, 127)(2, 128)(3, 129)(4, 130)(5, 131)(6, 132)(7, 133)(8, 134)(9, 135)(10, 136)(11, 137)(12, 138)(13, 139)(14, 140)(15, 141)(16, 142)(17, 143)(18, 144)(19, 145)(20, 146)(21, 147)(22, 148)(23, 149)(24, 150)(25, 151)(26, 152)(27, 153)(28, 154)(29, 155)(30, 156)(31, 157)(32, 158)(33, 159)(34, 160)(35, 161)(36, 162)(37, 163)(38, 164)(39, 165)(40, 166)(41, 167)(42, 168)(43, 169)(44, 170)(45, 171)(46, 172)(47, 173)(48, 174)(49, 175)(50, 176)(51, 177)(52, 178)(53, 179)(54, 180)(55, 181)(56, 182)(57, 183)(58, 184)(59, 185)(60, 186)(61, 187)(62, 188)(63, 189)(64, 190)(65, 191)(66, 192)(67, 193)(68, 194)(69, 195)(70, 196)(71, 197)(72, 198)(73, 199)(74, 200)(75, 201)(76, 202)(77, 203)(78, 204)(79, 205)(80, 206)(81, 207)(82, 208)(83, 209)(84, 210)(85, 211)(86, 212)(87, 213)(88, 214)(89, 215)(90, 216)(91, 217)(92, 218)(93, 219)(94, 220)(95, 221)(96, 222)(97, 223)(98, 224)(99, 225)(100, 226)(101, 227)(102, 228)(103, 229)(104, 230)(105, 231)(106, 232)(107, 233)(108, 234)(109, 235)(110, 236)(111, 237)(112, 238)(113, 239)(114, 240)(115, 241)(116, 242)(117, 243)(118, 244)(119, 245)(120, 246)(121, 247)(122, 248)(123, 249)(124, 250)(125, 251)(126, 252)
	local type(s) :: { ( 4^3 ), ( 4^42 ) }
Outer automorphisms :: reflexible
Dual of E10.639
Graph:: simple bipartite
	v = 45 e = 126 f = 63
	degree seq :: [ 3^42, 42^3 ]

E10.637 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {3, 3, 21})
Quotient :: edge^2
Aut^+ = C3 x (C7 : C3) (small group id <63, 3>)
Aut   = (C3 x (C7 : C3)) : C2 (small group id <126, 9>)
|r| :: 2
Presentation :: [ Y3, R^2, Y2^3, Y1^3, (R * Y3)^2, R * Y1 * R * Y2, (Y2 * Y1^-1)^3, Y2 * Y1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2^-1 * Y1^-1 * Y2 * Y1^-1, Y1 * Y2 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1, (Y1^-1 * Y3^-1 * Y2^-1)^21 ]
Map:: polytopal
	R = (1, 64)(2, 65)(3, 66)(4, 67)(5, 68)(6, 69)(7, 70)(8, 71)(9, 72)(10, 73)(11, 74)(12, 75)(13, 76)(14, 77)(15, 78)(16, 79)(17, 80)(18, 81)(19, 82)(20, 83)(21, 84)(22, 85)(23, 86)(24, 87)(25, 88)(26, 89)(27, 90)(28, 91)(29, 92)(30, 93)(31, 94)(32, 95)(33, 96)(34, 97)(35, 98)(36, 99)(37, 100)(38, 101)(39, 102)(40, 103)(41, 104)(42, 105)(43, 106)(44, 107)(45, 108)(46, 109)(47, 110)(48, 111)(49, 112)(50, 113)(51, 114)(52, 115)(53, 116)(54, 117)(55, 118)(56, 119)(57, 120)(58, 121)(59, 122)(60, 123)(61, 124)(62, 125)(63, 126)(127, 128, 130)(129, 134, 135)(131, 138, 139)(132, 140, 141)(133, 142, 143)(136, 147, 148)(137, 149, 150)(144, 159, 160)(145, 152, 161)(146, 162, 163)(151, 168, 169)(153, 170, 171)(154, 172, 173)(155, 157, 174)(156, 175, 176)(158, 177, 178)(164, 183, 184)(165, 166, 185)(167, 179, 181)(180, 188, 186)(182, 187, 189)(190, 192, 194)(191, 195, 196)(193, 199, 200)(197, 207, 208)(198, 205, 209)(201, 214, 211)(202, 215, 216)(203, 217, 218)(204, 212, 219)(206, 220, 221)(210, 227, 228)(213, 229, 230)(222, 239, 242)(223, 225, 243)(224, 244, 245)(226, 240, 246)(231, 249, 247)(232, 233, 235)(234, 250, 237)(236, 238, 251)(241, 252, 248)
	L = (1, 127)(2, 128)(3, 129)(4, 130)(5, 131)(6, 132)(7, 133)(8, 134)(9, 135)(10, 136)(11, 137)(12, 138)(13, 139)(14, 140)(15, 141)(16, 142)(17, 143)(18, 144)(19, 145)(20, 146)(21, 147)(22, 148)(23, 149)(24, 150)(25, 151)(26, 152)(27, 153)(28, 154)(29, 155)(30, 156)(31, 157)(32, 158)(33, 159)(34, 160)(35, 161)(36, 162)(37, 163)(38, 164)(39, 165)(40, 166)(41, 167)(42, 168)(43, 169)(44, 170)(45, 171)(46, 172)(47, 173)(48, 174)(49, 175)(50, 176)(51, 177)(52, 178)(53, 179)(54, 180)(55, 181)(56, 182)(57, 183)(58, 184)(59, 185)(60, 186)(61, 187)(62, 188)(63, 189)(64, 190)(65, 191)(66, 192)(67, 193)(68, 194)(69, 195)(70, 196)(71, 197)(72, 198)(73, 199)(74, 200)(75, 201)(76, 202)(77, 203)(78, 204)(79, 205)(80, 206)(81, 207)(82, 208)(83, 209)(84, 210)(85, 211)(86, 212)(87, 213)(88, 214)(89, 215)(90, 216)(91, 217)(92, 218)(93, 219)(94, 220)(95, 221)(96, 222)(97, 223)(98, 224)(99, 225)(100, 226)(101, 227)(102, 228)(103, 229)(104, 230)(105, 231)(106, 232)(107, 233)(108, 234)(109, 235)(110, 236)(111, 237)(112, 238)(113, 239)(114, 240)(115, 241)(116, 242)(117, 243)(118, 244)(119, 245)(120, 246)(121, 247)(122, 248)(123, 249)(124, 250)(125, 251)(126, 252)
	local type(s) :: { ( 84, 84 ), ( 84^3 ) }
Outer automorphisms :: reflexible
Dual of E10.638
Graph:: simple bipartite
	v = 105 e = 126 f = 3
	degree seq :: [ 2^63, 3^42 ]

E10.638 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {3, 3, 21})
Quotient :: loop^2
Aut^+ = C3 x (C7 : C3) (small group id <63, 3>)
Aut   = (C3 x (C7 : C3)) : C2 (small group id <126, 9>)
|r| :: 2
Presentation :: [ R^2, Y2^3, Y1^-1 * Y3^-1 * Y2^-1, Y1^3, R * Y2 * R * Y1, (R * Y3)^2, Y3 * Y2^-1 * Y3 * Y2 * Y1^-1 * Y2^-1, Y3 * Y2 * Y1 * Y3^-1 * Y1^-1 * Y2^-1, Y3^3 * Y2^-1 * Y3^-1 * Y1^-1, (Y1 * Y3 * Y2)^7 ]
Map::
	R = (1, 64, 127, 190, 4, 67, 130, 193, 15, 78, 141, 204, 24, 87, 150, 213, 26, 89, 152, 215, 11, 74, 137, 200, 32, 95, 158, 221, 52, 115, 178, 241, 53, 116, 179, 242, 56, 119, 182, 245, 35, 98, 161, 224, 45, 108, 171, 234, 58, 121, 184, 247, 59, 122, 185, 248, 63, 126, 189, 252, 46, 109, 172, 235, 19, 82, 145, 208, 30, 93, 156, 219, 48, 111, 174, 237, 23, 86, 149, 212, 7, 70, 133, 196)(2, 65, 128, 191, 8, 71, 134, 197, 25, 88, 151, 214, 43, 106, 169, 232, 44, 107, 170, 233, 21, 84, 147, 210, 41, 104, 167, 230, 60, 123, 186, 249, 61, 124, 187, 250, 62, 125, 188, 251, 42, 105, 168, 231, 17, 80, 143, 206, 33, 96, 159, 222, 36, 99, 162, 225, 49, 112, 175, 238, 20, 83, 146, 209, 6, 69, 132, 195, 12, 75, 138, 201, 34, 97, 160, 223, 31, 94, 157, 220, 10, 73, 136, 199)(3, 66, 129, 192, 5, 68, 131, 194, 18, 81, 144, 207, 38, 101, 164, 227, 14, 77, 140, 203, 16, 79, 142, 205, 29, 92, 155, 218, 54, 117, 180, 243, 39, 102, 165, 228, 40, 103, 166, 229, 47, 110, 173, 236, 55, 118, 181, 244, 27, 90, 153, 216, 50, 113, 176, 239, 51, 114, 177, 240, 57, 120, 183, 246, 28, 91, 154, 217, 9, 72, 135, 198, 22, 85, 148, 211, 37, 100, 163, 226, 13, 76, 139, 202)
	L = (1, 65)(2, 68)(3, 74)(4, 69)(5, 64)(6, 79)(7, 84)(8, 72)(9, 89)(10, 92)(11, 75)(12, 66)(13, 98)(14, 95)(15, 80)(16, 67)(17, 103)(18, 82)(19, 107)(20, 110)(21, 85)(22, 70)(23, 105)(24, 104)(25, 90)(26, 71)(27, 116)(28, 119)(29, 93)(30, 73)(31, 118)(32, 96)(33, 77)(34, 91)(35, 99)(36, 76)(37, 109)(38, 108)(39, 115)(40, 78)(41, 113)(42, 114)(43, 117)(44, 81)(45, 124)(46, 125)(47, 111)(48, 83)(49, 120)(50, 87)(51, 86)(52, 123)(53, 88)(54, 121)(55, 122)(56, 97)(57, 126)(58, 106)(59, 94)(60, 102)(61, 101)(62, 100)(63, 112)(127, 192)(128, 196)(129, 195)(130, 203)(131, 199)(132, 190)(133, 198)(134, 213)(135, 191)(136, 208)(137, 202)(138, 215)(139, 222)(140, 206)(141, 228)(142, 209)(143, 193)(144, 232)(145, 194)(146, 219)(147, 212)(148, 233)(149, 239)(150, 216)(151, 241)(152, 217)(153, 197)(154, 201)(155, 220)(156, 205)(157, 247)(158, 227)(159, 200)(160, 242)(161, 226)(162, 245)(163, 250)(164, 249)(165, 230)(166, 231)(167, 204)(168, 237)(169, 234)(170, 235)(171, 207)(172, 211)(173, 238)(174, 229)(175, 248)(176, 210)(177, 251)(178, 243)(179, 244)(180, 214)(181, 223)(182, 246)(183, 225)(184, 218)(185, 236)(186, 221)(187, 224)(188, 252)(189, 240)
	local type(s) :: { ( 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3 ) }
Outer automorphisms :: reflexible
Dual of E10.637
Transitivity :: VT+
Graph::
	v = 3 e = 126 f = 105
	degree seq :: [ 84^3 ]

E10.639 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {3, 3, 21})
Quotient :: loop^2
Aut^+ = C3 x (C7 : C3) (small group id <63, 3>)
Aut   = (C3 x (C7 : C3)) : C2 (small group id <126, 9>)
|r| :: 2
Presentation :: [ Y3, R^2, Y2^3, Y1^3, (R * Y3)^2, R * Y1 * R * Y2, (Y2 * Y1^-1)^3, Y2 * Y1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2^-1 * Y1^-1 * Y2 * Y1^-1, Y1 * Y2 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1, (Y1^-1 * Y3^-1 * Y2^-1)^21 ]
Map:: polytopal non-degenerate
	R = (1, 64, 127, 190)(2, 65, 128, 191)(3, 66, 129, 192)(4, 67, 130, 193)(5, 68, 131, 194)(6, 69, 132, 195)(7, 70, 133, 196)(8, 71, 134, 197)(9, 72, 135, 198)(10, 73, 136, 199)(11, 74, 137, 200)(12, 75, 138, 201)(13, 76, 139, 202)(14, 77, 140, 203)(15, 78, 141, 204)(16, 79, 142, 205)(17, 80, 143, 206)(18, 81, 144, 207)(19, 82, 145, 208)(20, 83, 146, 209)(21, 84, 147, 210)(22, 85, 148, 211)(23, 86, 149, 212)(24, 87, 150, 213)(25, 88, 151, 214)(26, 89, 152, 215)(27, 90, 153, 216)(28, 91, 154, 217)(29, 92, 155, 218)(30, 93, 156, 219)(31, 94, 157, 220)(32, 95, 158, 221)(33, 96, 159, 222)(34, 97, 160, 223)(35, 98, 161, 224)(36, 99, 162, 225)(37, 100, 163, 226)(38, 101, 164, 227)(39, 102, 165, 228)(40, 103, 166, 229)(41, 104, 167, 230)(42, 105, 168, 231)(43, 106, 169, 232)(44, 107, 170, 233)(45, 108, 171, 234)(46, 109, 172, 235)(47, 110, 173, 236)(48, 111, 174, 237)(49, 112, 175, 238)(50, 113, 176, 239)(51, 114, 177, 240)(52, 115, 178, 241)(53, 116, 179, 242)(54, 117, 180, 243)(55, 118, 181, 244)(56, 119, 182, 245)(57, 120, 183, 246)(58, 121, 184, 247)(59, 122, 185, 248)(60, 123, 186, 249)(61, 124, 187, 250)(62, 125, 188, 251)(63, 126, 189, 252)
	L = (1, 65)(2, 67)(3, 71)(4, 64)(5, 75)(6, 77)(7, 79)(8, 72)(9, 66)(10, 84)(11, 86)(12, 76)(13, 68)(14, 78)(15, 69)(16, 80)(17, 70)(18, 96)(19, 89)(20, 99)(21, 85)(22, 73)(23, 87)(24, 74)(25, 105)(26, 98)(27, 107)(28, 109)(29, 94)(30, 112)(31, 111)(32, 114)(33, 97)(34, 81)(35, 82)(36, 100)(37, 83)(38, 120)(39, 103)(40, 122)(41, 116)(42, 106)(43, 88)(44, 108)(45, 90)(46, 110)(47, 91)(48, 92)(49, 113)(50, 93)(51, 115)(52, 95)(53, 118)(54, 125)(55, 104)(56, 124)(57, 121)(58, 101)(59, 102)(60, 117)(61, 126)(62, 123)(63, 119)(127, 192)(128, 195)(129, 194)(130, 199)(131, 190)(132, 196)(133, 191)(134, 207)(135, 205)(136, 200)(137, 193)(138, 214)(139, 215)(140, 217)(141, 212)(142, 209)(143, 220)(144, 208)(145, 197)(146, 198)(147, 227)(148, 201)(149, 219)(150, 229)(151, 211)(152, 216)(153, 202)(154, 218)(155, 203)(156, 204)(157, 221)(158, 206)(159, 239)(160, 225)(161, 244)(162, 243)(163, 240)(164, 228)(165, 210)(166, 230)(167, 213)(168, 249)(169, 233)(170, 235)(171, 250)(172, 232)(173, 238)(174, 234)(175, 251)(176, 242)(177, 246)(178, 252)(179, 222)(180, 223)(181, 245)(182, 224)(183, 226)(184, 231)(185, 241)(186, 247)(187, 237)(188, 236)(189, 248)
	local type(s) :: { ( 3, 42, 3, 42 ) }
Outer automorphisms :: reflexible
Dual of E10.636
Transitivity :: VT+
Graph:: simple
	v = 63 e = 126 f = 45
	degree seq :: [ 4^63 ]

E10.640 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 2, 4})
Quotient :: halfedge^2
Aut^+ = ((C2 x C2) : C9) : C2 (small group id <72, 15>)
Aut   = C2 x (((C2 x C2) : C9) : C2) (small group id <144, 109>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, Y3^2, R^2, (Y3 * Y2)^2, R * Y3 * R * Y2, (R * Y1)^2, Y3 * Y1 * Y2 * Y1 * Y3 * Y2 * Y1 * Y3 * Y1 * Y2, Y3 * Y1 * Y2 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y2 * Y1 * Y3 * Y1, (Y2 * Y1)^9 ]
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, 95, 23, 85)(14, 97, 25, 86)(16, 100, 28, 88)(17, 102, 30, 89)(18, 103, 31, 90)(19, 105, 33, 91)(21, 108, 36, 93)(22, 110, 38, 94)(24, 107, 35, 96)(26, 109, 37, 98)(27, 104, 32, 99)(29, 106, 34, 101)(39, 121, 49, 111)(40, 122, 50, 112)(41, 123, 51, 113)(42, 124, 52, 114)(43, 120, 48, 115)(44, 125, 53, 116)(45, 126, 54, 117)(46, 127, 55, 118)(47, 128, 56, 119)(57, 137, 65, 129)(58, 138, 66, 130)(59, 139, 67, 131)(60, 140, 68, 132)(61, 141, 69, 133)(62, 142, 70, 134)(63, 143, 71, 135)(64, 144, 72, 136)
	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, 69)(66, 71)(67, 70)(68, 72)(73, 76)(74, 78)(75, 80)(77, 83)(79, 86)(81, 89)(82, 91)(84, 94)(85, 96)(87, 99)(88, 101)(90, 104)(92, 107)(93, 109)(95, 112)(97, 114)(98, 115)(100, 113)(102, 111)(103, 117)(105, 119)(106, 120)(108, 118)(110, 116)(121, 130)(122, 132)(123, 131)(124, 129)(125, 134)(126, 136)(127, 135)(128, 133)(137, 144)(138, 142)(139, 143)(140, 141)
	local type(s) :: { ( 8^4 ) }
Outer automorphisms :: reflexible
Dual of E10.641
Transitivity :: VT+ AT
Graph:: simple
	v = 36 e = 72 f = 18
	degree seq :: [ 4^36 ]

E10.641 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 2, 4})
Quotient :: halfedge^2
Aut^+ = ((C2 x C2) : C9) : C2 (small group id <72, 15>)
Aut   = C2 x (((C2 x C2) : C9) : C2) (small group id <144, 109>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, (Y3 * Y2)^2, Y1^4, R * Y3 * R * Y2, (R * Y1)^2, Y1^-1 * Y2 * Y1^-2 * Y3 * Y1^-1, (Y1^-1 * Y3 * Y2)^2, Y2 * Y1^-1 * Y3 * Y1^-1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1^-1 * Y3 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 74, 2, 78, 6, 77, 5, 73)(3, 81, 9, 89, 17, 83, 11, 75)(4, 84, 12, 88, 16, 85, 13, 76)(7, 90, 18, 87, 15, 92, 20, 79)(8, 93, 21, 86, 14, 94, 22, 80)(10, 97, 25, 100, 28, 91, 19, 82)(23, 105, 33, 99, 27, 106, 34, 95)(24, 107, 35, 98, 26, 108, 36, 96)(29, 109, 37, 104, 32, 110, 38, 101)(30, 111, 39, 103, 31, 112, 40, 102)(41, 121, 49, 116, 44, 122, 50, 113)(42, 123, 51, 115, 43, 124, 52, 114)(45, 125, 53, 120, 48, 126, 54, 117)(46, 127, 55, 119, 47, 128, 56, 118)(57, 137, 65, 132, 60, 138, 66, 129)(58, 139, 67, 131, 59, 140, 68, 130)(61, 141, 69, 136, 64, 142, 70, 133)(62, 143, 71, 135, 63, 144, 72, 134)
	L = (1, 3)(2, 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, 71)(66, 69)(67, 72)(68, 70)(73, 76)(74, 80)(75, 82)(77, 87)(78, 89)(79, 91)(81, 96)(83, 99)(84, 98)(85, 95)(86, 97)(88, 100)(90, 102)(92, 104)(93, 103)(94, 101)(105, 114)(106, 116)(107, 115)(108, 113)(109, 118)(110, 120)(111, 119)(112, 117)(121, 130)(122, 132)(123, 131)(124, 129)(125, 134)(126, 136)(127, 135)(128, 133)(137, 142)(138, 144)(139, 141)(140, 143)
	local type(s) :: { ( 4^8 ) }
Outer automorphisms :: reflexible
Dual of E10.640
Transitivity :: VT+ AT
Graph::
	v = 18 e = 72 f = 36
	degree seq :: [ 8^18 ]

E10.642 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 2, 4})
Quotient :: edge^2
Aut^+ = ((C2 x C2) : C9) : C2 (small group id <72, 15>)
Aut   = C2 x (((C2 x C2) : C9) : C2) (small group id <144, 109>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, 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)^9 ]
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, 32, 104)(19, 91, 33, 105)(20, 92, 34, 106)(23, 95, 39, 111)(27, 99, 40, 112)(28, 100, 41, 113)(29, 101, 42, 114)(30, 102, 43, 115)(31, 103, 44, 116)(35, 107, 45, 117)(36, 108, 46, 118)(37, 109, 47, 119)(38, 110, 48, 120)(49, 121, 57, 129)(50, 122, 58, 130)(51, 123, 59, 131)(52, 124, 60, 132)(53, 125, 61, 133)(54, 126, 62, 134)(55, 127, 63, 135)(56, 128, 64, 136)(65, 137, 69, 141)(66, 138, 72, 144)(67, 139, 71, 143)(68, 140, 70, 142)(145, 146)(147, 149)(148, 152)(150, 155)(151, 157)(153, 159)(154, 162)(156, 164)(158, 167)(160, 171)(161, 173)(163, 175)(165, 179)(166, 181)(168, 182)(169, 180)(170, 183)(172, 177)(174, 176)(178, 188)(184, 193)(185, 195)(186, 196)(187, 194)(189, 197)(190, 199)(191, 200)(192, 198)(201, 209)(202, 211)(203, 212)(204, 210)(205, 213)(206, 215)(207, 216)(208, 214)(217, 219)(218, 221)(220, 225)(222, 228)(223, 230)(224, 231)(226, 235)(227, 236)(229, 239)(232, 244)(233, 246)(234, 247)(237, 252)(238, 254)(240, 253)(241, 251)(242, 250)(243, 249)(245, 248)(255, 260)(256, 266)(257, 268)(258, 267)(259, 265)(261, 270)(262, 272)(263, 271)(264, 269)(273, 282)(274, 284)(275, 283)(276, 281)(277, 286)(278, 288)(279, 287)(280, 285)
	L = (1, 145)(2, 146)(3, 147)(4, 148)(5, 149)(6, 150)(7, 151)(8, 152)(9, 153)(10, 154)(11, 155)(12, 156)(13, 157)(14, 158)(15, 159)(16, 160)(17, 161)(18, 162)(19, 163)(20, 164)(21, 165)(22, 166)(23, 167)(24, 168)(25, 169)(26, 170)(27, 171)(28, 172)(29, 173)(30, 174)(31, 175)(32, 176)(33, 177)(34, 178)(35, 179)(36, 180)(37, 181)(38, 182)(39, 183)(40, 184)(41, 185)(42, 186)(43, 187)(44, 188)(45, 189)(46, 190)(47, 191)(48, 192)(49, 193)(50, 194)(51, 195)(52, 196)(53, 197)(54, 198)(55, 199)(56, 200)(57, 201)(58, 202)(59, 203)(60, 204)(61, 205)(62, 206)(63, 207)(64, 208)(65, 209)(66, 210)(67, 211)(68, 212)(69, 213)(70, 214)(71, 215)(72, 216)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 16, 16 ), ( 16^4 ) }
Outer automorphisms :: reflexible
Dual of E10.645
Graph:: simple bipartite
	v = 108 e = 144 f = 18
	degree seq :: [ 2^72, 4^36 ]

E10.643 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 2, 4})
Quotient :: edge^2
Aut^+ = ((C2 x C2) : C9) : C2 (small group id <72, 15>)
Aut   = C2 x (((C2 x C2) : C9) : C2) (small group id <144, 109>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, (Y1 * Y2)^2, Y3^4, (R * Y3)^2, R * Y1 * R * Y2, Y3^-1 * Y2 * Y3^-2 * Y1 * Y3^-1, (Y3 * Y1 * Y2)^2, Y3^-1 * Y2 * Y3^-1 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 ]
Map:: polytopal
	R = (1, 73, 4, 76, 13, 85, 5, 77)(2, 74, 7, 79, 20, 92, 8, 80)(3, 75, 9, 81, 23, 95, 10, 82)(6, 78, 16, 88, 28, 100, 17, 89)(11, 83, 24, 96, 15, 87, 25, 97)(12, 84, 26, 98, 14, 86, 27, 99)(18, 90, 29, 101, 22, 94, 30, 102)(19, 91, 31, 103, 21, 93, 32, 104)(33, 105, 41, 113, 36, 108, 42, 114)(34, 106, 43, 115, 35, 107, 44, 116)(37, 109, 45, 117, 40, 112, 46, 118)(38, 110, 47, 119, 39, 111, 48, 120)(49, 121, 57, 129, 52, 124, 58, 130)(50, 122, 59, 131, 51, 123, 60, 132)(53, 125, 61, 133, 56, 128, 62, 134)(54, 126, 63, 135, 55, 127, 64, 136)(65, 137, 71, 143, 68, 140, 70, 142)(66, 138, 69, 141, 67, 139, 72, 144)(145, 146)(147, 150)(148, 155)(149, 158)(151, 162)(152, 165)(153, 166)(154, 163)(156, 161)(157, 167)(159, 160)(164, 172)(168, 177)(169, 179)(170, 180)(171, 178)(173, 181)(174, 183)(175, 184)(176, 182)(185, 193)(186, 195)(187, 196)(188, 194)(189, 197)(190, 199)(191, 200)(192, 198)(201, 209)(202, 211)(203, 212)(204, 210)(205, 213)(206, 215)(207, 216)(208, 214)(217, 219)(218, 222)(220, 228)(221, 231)(223, 235)(224, 238)(225, 237)(226, 234)(227, 233)(229, 236)(230, 232)(239, 244)(240, 250)(241, 252)(242, 251)(243, 249)(245, 254)(246, 256)(247, 255)(248, 253)(257, 266)(258, 268)(259, 267)(260, 265)(261, 270)(262, 272)(263, 271)(264, 269)(273, 282)(274, 284)(275, 283)(276, 281)(277, 286)(278, 288)(279, 287)(280, 285)
	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 ), ( 8^8 ) }
Outer automorphisms :: reflexible
Dual of E10.644
Graph:: simple bipartite
	v = 90 e = 144 f = 36
	degree seq :: [ 2^72, 8^18 ]

E10.644 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 2, 4})
Quotient :: loop^2
Aut^+ = ((C2 x C2) : C9) : C2 (small group id <72, 15>)
Aut   = C2 x (((C2 x C2) : C9) : C2) (small group id <144, 109>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, 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)^9 ]
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, 32, 104, 176, 248)(19, 91, 163, 235, 33, 105, 177, 249)(20, 92, 164, 236, 34, 106, 178, 250)(23, 95, 167, 239, 39, 111, 183, 255)(27, 99, 171, 243, 40, 112, 184, 256)(28, 100, 172, 244, 41, 113, 185, 257)(29, 101, 173, 245, 42, 114, 186, 258)(30, 102, 174, 246, 43, 115, 187, 259)(31, 103, 175, 247, 44, 116, 188, 260)(35, 107, 179, 251, 45, 117, 189, 261)(36, 108, 180, 252, 46, 118, 190, 262)(37, 109, 181, 253, 47, 119, 191, 263)(38, 110, 182, 254, 48, 120, 192, 264)(49, 121, 193, 265, 57, 129, 201, 273)(50, 122, 194, 266, 58, 130, 202, 274)(51, 123, 195, 267, 59, 131, 203, 275)(52, 124, 196, 268, 60, 132, 204, 276)(53, 125, 197, 269, 61, 133, 205, 277)(54, 126, 198, 270, 62, 134, 206, 278)(55, 127, 199, 271, 63, 135, 207, 279)(56, 128, 200, 272, 64, 136, 208, 280)(65, 137, 209, 281, 69, 141, 213, 285)(66, 138, 210, 282, 72, 144, 216, 288)(67, 139, 211, 283, 71, 143, 215, 287)(68, 140, 212, 284, 70, 142, 214, 286)
	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, 99)(17, 101)(18, 82)(19, 103)(20, 84)(21, 107)(22, 109)(23, 86)(24, 110)(25, 108)(26, 111)(27, 88)(28, 105)(29, 89)(30, 104)(31, 91)(32, 102)(33, 100)(34, 116)(35, 93)(36, 97)(37, 94)(38, 96)(39, 98)(40, 121)(41, 123)(42, 124)(43, 122)(44, 106)(45, 125)(46, 127)(47, 128)(48, 126)(49, 112)(50, 115)(51, 113)(52, 114)(53, 117)(54, 120)(55, 118)(56, 119)(57, 137)(58, 139)(59, 140)(60, 138)(61, 141)(62, 143)(63, 144)(64, 142)(65, 129)(66, 132)(67, 130)(68, 131)(69, 133)(70, 136)(71, 134)(72, 135)(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, 244)(161, 246)(162, 247)(163, 226)(164, 227)(165, 252)(166, 254)(167, 229)(168, 253)(169, 251)(170, 250)(171, 249)(172, 232)(173, 248)(174, 233)(175, 234)(176, 245)(177, 243)(178, 242)(179, 241)(180, 237)(181, 240)(182, 238)(183, 260)(184, 266)(185, 268)(186, 267)(187, 265)(188, 255)(189, 270)(190, 272)(191, 271)(192, 269)(193, 259)(194, 256)(195, 258)(196, 257)(197, 264)(198, 261)(199, 263)(200, 262)(201, 282)(202, 284)(203, 283)(204, 281)(205, 286)(206, 288)(207, 287)(208, 285)(209, 276)(210, 273)(211, 275)(212, 274)(213, 280)(214, 277)(215, 279)(216, 278)
	local type(s) :: { ( 2, 8, 2, 8, 2, 8, 2, 8 ) }
Outer automorphisms :: reflexible
Dual of E10.643
Transitivity :: VT+
Graph::
	v = 36 e = 144 f = 90
	degree seq :: [ 8^36 ]

E10.645 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 2, 4})
Quotient :: loop^2
Aut^+ = ((C2 x C2) : C9) : C2 (small group id <72, 15>)
Aut   = C2 x (((C2 x C2) : C9) : C2) (small group id <144, 109>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, (Y1 * Y2)^2, Y3^4, (R * Y3)^2, R * Y1 * R * Y2, Y3^-1 * Y2 * Y3^-2 * Y1 * Y3^-1, (Y3 * Y1 * Y2)^2, Y3^-1 * Y2 * Y3^-1 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 ]
Map::
	R = (1, 73, 145, 217, 4, 76, 148, 220, 13, 85, 157, 229, 5, 77, 149, 221)(2, 74, 146, 218, 7, 79, 151, 223, 20, 92, 164, 236, 8, 80, 152, 224)(3, 75, 147, 219, 9, 81, 153, 225, 23, 95, 167, 239, 10, 82, 154, 226)(6, 78, 150, 222, 16, 88, 160, 232, 28, 100, 172, 244, 17, 89, 161, 233)(11, 83, 155, 227, 24, 96, 168, 240, 15, 87, 159, 231, 25, 97, 169, 241)(12, 84, 156, 228, 26, 98, 170, 242, 14, 86, 158, 230, 27, 99, 171, 243)(18, 90, 162, 234, 29, 101, 173, 245, 22, 94, 166, 238, 30, 102, 174, 246)(19, 91, 163, 235, 31, 103, 175, 247, 21, 93, 165, 237, 32, 104, 176, 248)(33, 105, 177, 249, 41, 113, 185, 257, 36, 108, 180, 252, 42, 114, 186, 258)(34, 106, 178, 250, 43, 115, 187, 259, 35, 107, 179, 251, 44, 116, 188, 260)(37, 109, 181, 253, 45, 117, 189, 261, 40, 112, 184, 256, 46, 118, 190, 262)(38, 110, 182, 254, 47, 119, 191, 263, 39, 111, 183, 255, 48, 120, 192, 264)(49, 121, 193, 265, 57, 129, 201, 273, 52, 124, 196, 268, 58, 130, 202, 274)(50, 122, 194, 266, 59, 131, 203, 275, 51, 123, 195, 267, 60, 132, 204, 276)(53, 125, 197, 269, 61, 133, 205, 277, 56, 128, 200, 272, 62, 134, 206, 278)(54, 126, 198, 270, 63, 135, 207, 279, 55, 127, 199, 271, 64, 136, 208, 280)(65, 137, 209, 281, 71, 143, 215, 287, 68, 140, 212, 284, 70, 142, 214, 286)(66, 138, 210, 282, 69, 141, 213, 285, 67, 139, 211, 283, 72, 144, 216, 288)
	L = (1, 74)(2, 73)(3, 78)(4, 83)(5, 86)(6, 75)(7, 90)(8, 93)(9, 94)(10, 91)(11, 76)(12, 89)(13, 95)(14, 77)(15, 88)(16, 87)(17, 84)(18, 79)(19, 82)(20, 100)(21, 80)(22, 81)(23, 85)(24, 105)(25, 107)(26, 108)(27, 106)(28, 92)(29, 109)(30, 111)(31, 112)(32, 110)(33, 96)(34, 99)(35, 97)(36, 98)(37, 101)(38, 104)(39, 102)(40, 103)(41, 121)(42, 123)(43, 124)(44, 122)(45, 125)(46, 127)(47, 128)(48, 126)(49, 113)(50, 116)(51, 114)(52, 115)(53, 117)(54, 120)(55, 118)(56, 119)(57, 137)(58, 139)(59, 140)(60, 138)(61, 141)(62, 143)(63, 144)(64, 142)(65, 129)(66, 132)(67, 130)(68, 131)(69, 133)(70, 136)(71, 134)(72, 135)(145, 219)(146, 222)(147, 217)(148, 228)(149, 231)(150, 218)(151, 235)(152, 238)(153, 237)(154, 234)(155, 233)(156, 220)(157, 236)(158, 232)(159, 221)(160, 230)(161, 227)(162, 226)(163, 223)(164, 229)(165, 225)(166, 224)(167, 244)(168, 250)(169, 252)(170, 251)(171, 249)(172, 239)(173, 254)(174, 256)(175, 255)(176, 253)(177, 243)(178, 240)(179, 242)(180, 241)(181, 248)(182, 245)(183, 247)(184, 246)(185, 266)(186, 268)(187, 267)(188, 265)(189, 270)(190, 272)(191, 271)(192, 269)(193, 260)(194, 257)(195, 259)(196, 258)(197, 264)(198, 261)(199, 263)(200, 262)(201, 282)(202, 284)(203, 283)(204, 281)(205, 286)(206, 288)(207, 287)(208, 285)(209, 276)(210, 273)(211, 275)(212, 274)(213, 280)(214, 277)(215, 279)(216, 278)
	local type(s) :: { ( 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4 ) }
Outer automorphisms :: reflexible
Dual of E10.642
Transitivity :: VT+
Graph::
	v = 18 e = 144 f = 108
	degree seq :: [ 16^18 ]

E10.646 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 4})
Quotient :: dipole
Aut^+ = ((C2 x C2) : C9) : C2 (small group id <72, 15>)
Aut   = C2 x (((C2 x C2) : C9) : C2) (small group id <144, 109>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, Y3^2, R^2, (Y2 * Y3)^2, (R * Y2)^2, (R * Y3)^2, (R * Y1)^2, (Y3 * Y1)^4, Y3 * Y2 * Y1 * Y3 * Y1 * Y2 * Y1 * Y3 * Y1, (Y2 * Y1)^9 ]
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, 22, 94)(18, 90, 30, 102)(19, 91, 29, 101)(21, 93, 27, 99)(24, 96, 35, 107)(26, 98, 36, 108)(31, 103, 41, 113)(32, 104, 42, 114)(33, 105, 43, 115)(34, 106, 37, 109)(38, 110, 40, 112)(39, 111, 47, 119)(44, 116, 53, 125)(45, 117, 54, 126)(46, 118, 52, 124)(48, 120, 57, 129)(49, 121, 58, 130)(50, 122, 56, 128)(51, 123, 59, 131)(55, 127, 63, 135)(60, 132, 68, 140)(61, 133, 69, 141)(62, 134, 67, 139)(64, 136, 71, 143)(65, 137, 72, 144)(66, 138, 70, 142)(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, 175, 247)(164, 236, 176, 248)(166, 238, 169, 241)(167, 239, 177, 249)(171, 243, 181, 253)(172, 244, 182, 254)(174, 246, 183, 255)(178, 250, 188, 260)(179, 251, 189, 261)(180, 252, 190, 262)(184, 256, 192, 264)(185, 257, 193, 265)(186, 258, 194, 266)(187, 259, 195, 267)(191, 263, 199, 271)(196, 268, 204, 276)(197, 269, 205, 277)(198, 270, 206, 278)(200, 272, 208, 280)(201, 273, 209, 281)(202, 274, 210, 282)(203, 275, 207, 279)(211, 283, 214, 286)(212, 284, 216, 288)(213, 285, 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, 175)(19, 154)(20, 172)(21, 169)(22, 156)(23, 178)(24, 157)(25, 165)(26, 181)(27, 159)(28, 164)(29, 160)(30, 184)(31, 162)(32, 182)(33, 188)(34, 167)(35, 180)(36, 179)(37, 170)(38, 176)(39, 192)(40, 174)(41, 186)(42, 185)(43, 196)(44, 177)(45, 190)(46, 189)(47, 200)(48, 183)(49, 194)(50, 193)(51, 204)(52, 187)(53, 198)(54, 197)(55, 208)(56, 191)(57, 202)(58, 201)(59, 211)(60, 195)(61, 206)(62, 205)(63, 214)(64, 199)(65, 210)(66, 209)(67, 203)(68, 213)(69, 212)(70, 207)(71, 216)(72, 215)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E10.647
Graph:: simple bipartite
	v = 72 e = 144 f = 54
	degree seq :: [ 4^72 ]

E10.647 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 4})
Quotient :: dipole
Aut^+ = ((C2 x C2) : C9) : C2 (small group id <72, 15>)
Aut   = C2 x (((C2 x C2) : C9) : C2) (small group id <144, 109>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, (Y1 * Y3)^2, (Y3 * Y2)^2, (R * Y2)^2, Y1^4, (R * Y3)^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 ]
Map:: polytopal non-degenerate
	R = (1, 73, 2, 74, 6, 78, 5, 77)(3, 75, 9, 81, 19, 91, 11, 83)(4, 76, 12, 84, 15, 87, 8, 80)(7, 79, 16, 88, 24, 96, 18, 90)(10, 82, 22, 94, 14, 86, 21, 93)(13, 85, 25, 97, 17, 89, 26, 98)(20, 92, 29, 101, 32, 104, 31, 103)(23, 95, 33, 105, 30, 102, 34, 106)(27, 99, 37, 109, 36, 108, 38, 110)(28, 100, 39, 111, 35, 107, 40, 112)(41, 113, 49, 121, 44, 116, 50, 122)(42, 114, 51, 123, 43, 115, 52, 124)(45, 117, 53, 125, 48, 120, 54, 126)(46, 118, 55, 127, 47, 119, 56, 128)(57, 129, 65, 137, 60, 132, 66, 138)(58, 130, 67, 139, 59, 131, 68, 140)(61, 133, 69, 141, 64, 136, 70, 142)(62, 134, 71, 143, 63, 135, 72, 144)(145, 217, 147, 219)(146, 218, 151, 223)(148, 220, 154, 226)(149, 221, 157, 229)(150, 222, 158, 230)(152, 224, 161, 233)(153, 225, 164, 236)(155, 227, 167, 239)(156, 228, 168, 240)(159, 231, 163, 235)(160, 232, 171, 243)(162, 234, 172, 244)(165, 237, 174, 246)(166, 238, 176, 248)(169, 241, 179, 251)(170, 242, 180, 252)(173, 245, 185, 257)(175, 247, 186, 258)(177, 249, 187, 259)(178, 250, 188, 260)(181, 253, 189, 261)(182, 254, 190, 262)(183, 255, 191, 263)(184, 256, 192, 264)(193, 265, 201, 273)(194, 266, 202, 274)(195, 267, 203, 275)(196, 268, 204, 276)(197, 269, 205, 277)(198, 270, 206, 278)(199, 271, 207, 279)(200, 272, 208, 280)(209, 281, 216, 288)(210, 282, 213, 285)(211, 283, 214, 286)(212, 284, 215, 287)
	L = (1, 148)(2, 152)(3, 154)(4, 145)(5, 156)(6, 159)(7, 161)(8, 146)(9, 165)(10, 147)(11, 166)(12, 149)(13, 168)(14, 163)(15, 150)(16, 169)(17, 151)(18, 170)(19, 158)(20, 174)(21, 153)(22, 155)(23, 176)(24, 157)(25, 160)(26, 162)(27, 179)(28, 180)(29, 177)(30, 164)(31, 178)(32, 167)(33, 173)(34, 175)(35, 171)(36, 172)(37, 183)(38, 184)(39, 181)(40, 182)(41, 187)(42, 188)(43, 185)(44, 186)(45, 191)(46, 192)(47, 189)(48, 190)(49, 195)(50, 196)(51, 193)(52, 194)(53, 199)(54, 200)(55, 197)(56, 198)(57, 203)(58, 204)(59, 201)(60, 202)(61, 207)(62, 208)(63, 205)(64, 206)(65, 211)(66, 212)(67, 209)(68, 210)(69, 215)(70, 216)(71, 213)(72, 214)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 4^4 ), ( 4^8 ) }
Outer automorphisms :: reflexible
Dual of E10.646
Graph:: simple bipartite
	v = 54 e = 144 f = 72
	degree seq :: [ 4^36, 8^18 ]

E10.648 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 4})
Quotient :: dipole
Aut^+ = (S3 x S3) : C2 (small group id <72, 40>)
Aut   = C2 x ((S3 x S3) : C2) (small group id <144, 186>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, Y3^2, R^2, (R * Y2)^2, (R * Y3)^2, (R * Y1)^2, (Y3 * Y2)^2, (Y3 * Y1)^4, (Y1 * Y2)^4, (Y3 * Y1 * Y2 * Y1)^3 ]
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, 22, 94)(19, 91, 30, 102)(21, 93, 33, 105)(23, 95, 35, 107)(25, 97, 38, 110)(26, 98, 37, 109)(28, 100, 41, 113)(29, 101, 42, 114)(31, 103, 45, 117)(32, 104, 44, 116)(34, 106, 48, 120)(36, 108, 47, 119)(39, 111, 53, 125)(40, 112, 43, 115)(46, 118, 60, 132)(49, 121, 59, 131)(50, 122, 57, 129)(51, 123, 62, 134)(52, 124, 56, 128)(54, 126, 61, 133)(55, 127, 58, 130)(63, 135, 69, 141)(64, 136, 70, 142)(65, 137, 67, 139)(66, 138, 68, 140)(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, 167, 239)(159, 231, 169, 241)(161, 233, 172, 244)(163, 235, 173, 245)(164, 236, 175, 247)(166, 238, 178, 250)(168, 240, 180, 252)(170, 242, 183, 255)(171, 243, 182, 254)(174, 246, 187, 259)(176, 248, 190, 262)(177, 249, 189, 261)(179, 251, 193, 265)(181, 253, 195, 267)(184, 256, 196, 268)(185, 257, 198, 270)(186, 258, 200, 272)(188, 260, 202, 274)(191, 263, 203, 275)(192, 264, 205, 277)(194, 266, 207, 279)(197, 269, 208, 280)(199, 271, 210, 282)(201, 273, 211, 283)(204, 276, 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, 167)(14, 151)(15, 170)(16, 172)(17, 153)(18, 173)(19, 154)(20, 176)(21, 178)(22, 156)(23, 157)(24, 181)(25, 183)(26, 159)(27, 184)(28, 160)(29, 162)(30, 188)(31, 190)(32, 164)(33, 191)(34, 165)(35, 194)(36, 195)(37, 168)(38, 196)(39, 169)(40, 171)(41, 199)(42, 201)(43, 202)(44, 174)(45, 203)(46, 175)(47, 177)(48, 206)(49, 207)(50, 179)(51, 180)(52, 182)(53, 209)(54, 210)(55, 185)(56, 211)(57, 186)(58, 187)(59, 189)(60, 213)(61, 214)(62, 192)(63, 193)(64, 215)(65, 197)(66, 198)(67, 200)(68, 216)(69, 204)(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, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E10.653
Graph:: simple bipartite
	v = 72 e = 144 f = 54
	degree seq :: [ 4^72 ]

E10.649 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 4})
Quotient :: dipole
Aut^+ = (S3 x S3) : C2 (small group id <72, 40>)
Aut   = C2 x ((S3 x S3) : C2) (small group id <144, 186>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, (Y3^-1 * Y2)^2, (R * Y1)^2, Y3^4, (R * Y3)^2, Y3 * Y1 * Y3^-1 * Y2 * Y1 * Y2, (R * Y2 * Y3^-1)^2, (Y3^-1 * Y1)^4, Y1 * Y3 * Y2 * Y1 * Y3 * Y2 * Y1 * Y3^-2, Y3^-1 * Y1 * Y3 * Y1 * Y2 * Y1 * Y3^-1 * Y1 * Y2 * Y3^-1 ]
Map:: polyhedral 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, 16, 88)(11, 83, 25, 97)(13, 85, 27, 99)(17, 89, 35, 107)(19, 91, 37, 109)(21, 93, 41, 113)(22, 94, 43, 115)(23, 95, 45, 117)(24, 96, 46, 118)(26, 98, 40, 112)(28, 100, 51, 123)(29, 101, 53, 125)(30, 102, 36, 108)(31, 103, 55, 127)(32, 104, 57, 129)(33, 105, 59, 131)(34, 106, 60, 132)(38, 110, 61, 133)(39, 111, 63, 135)(42, 114, 54, 126)(44, 116, 52, 124)(47, 119, 69, 141)(48, 120, 70, 142)(49, 121, 68, 140)(50, 122, 67, 139)(56, 128, 64, 136)(58, 130, 62, 134)(65, 137, 72, 144)(66, 138, 71, 143)(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, 167, 239)(157, 229, 168, 240)(158, 230, 172, 244)(159, 231, 175, 247)(162, 234, 177, 249)(163, 235, 178, 250)(164, 236, 182, 254)(166, 238, 186, 258)(169, 241, 191, 263)(170, 242, 188, 260)(171, 243, 193, 265)(173, 245, 196, 268)(174, 246, 190, 262)(176, 248, 200, 272)(179, 251, 194, 266)(180, 252, 202, 274)(181, 253, 192, 264)(183, 255, 206, 278)(184, 256, 204, 276)(185, 257, 209, 281)(187, 259, 211, 283)(189, 261, 208, 280)(195, 267, 215, 287)(197, 269, 214, 286)(198, 270, 203, 275)(199, 271, 216, 288)(201, 273, 213, 285)(205, 277, 210, 282)(207, 279, 212, 284)
	L = (1, 148)(2, 151)(3, 154)(4, 157)(5, 145)(6, 160)(7, 163)(8, 146)(9, 166)(10, 168)(11, 147)(12, 170)(13, 149)(14, 173)(15, 176)(16, 178)(17, 150)(18, 180)(19, 152)(20, 183)(21, 156)(22, 188)(23, 153)(24, 155)(25, 192)(26, 186)(27, 194)(28, 190)(29, 198)(30, 158)(31, 162)(32, 202)(33, 159)(34, 161)(35, 193)(36, 200)(37, 191)(38, 204)(39, 208)(40, 164)(41, 210)(42, 165)(43, 212)(44, 167)(45, 206)(46, 203)(47, 171)(48, 179)(49, 169)(50, 181)(51, 216)(52, 172)(53, 213)(54, 174)(55, 215)(56, 175)(57, 214)(58, 177)(59, 196)(60, 189)(61, 209)(62, 182)(63, 211)(64, 184)(65, 187)(66, 207)(67, 185)(68, 205)(69, 199)(70, 195)(71, 197)(72, 201)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E10.652
Graph:: simple bipartite
	v = 72 e = 144 f = 54
	degree seq :: [ 4^72 ]

E10.650 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 4})
Quotient :: dipole
Aut^+ = (S3 x S3) : C2 (small group id <72, 40>)
Aut   = C2 x ((S3 x S3) : C2) (small group id <144, 186>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, (Y3 * Y2)^2, (R * Y1)^2, Y3^4, (R * Y3)^2, Y3^-2 * Y2 * Y3 * Y2 * Y3^-1, (R * Y2 * Y3^-1)^2, Y3^-1 * Y1 * Y3 * Y2 * Y1 * Y2, (Y3^-1 * Y1)^4, Y1 * Y3^-1 * Y2 * Y1 * Y3^2 * Y1 * Y3^-1 * Y2 ]
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, 17, 89)(13, 85, 29, 101)(16, 88, 34, 106)(19, 91, 39, 111)(21, 93, 41, 113)(22, 94, 43, 115)(23, 95, 45, 117)(25, 97, 49, 121)(26, 98, 50, 122)(27, 99, 40, 112)(28, 100, 53, 125)(30, 102, 37, 109)(31, 103, 55, 127)(32, 104, 57, 129)(33, 105, 59, 131)(35, 107, 60, 132)(36, 108, 61, 133)(38, 110, 64, 136)(42, 114, 52, 124)(44, 116, 51, 123)(46, 118, 69, 141)(47, 119, 68, 140)(48, 120, 70, 142)(54, 126, 66, 138)(56, 128, 63, 135)(58, 130, 62, 134)(65, 137, 72, 144)(67, 139, 71, 143)(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, 170, 242)(157, 229, 169, 241)(158, 230, 166, 238)(159, 231, 175, 247)(162, 234, 180, 252)(163, 235, 179, 251)(164, 236, 176, 248)(167, 239, 186, 258)(168, 240, 190, 262)(171, 243, 193, 265)(172, 244, 195, 267)(173, 245, 191, 263)(174, 246, 188, 260)(177, 249, 200, 272)(178, 250, 198, 270)(181, 253, 204, 276)(182, 254, 206, 278)(183, 255, 192, 264)(184, 256, 202, 274)(185, 257, 209, 281)(187, 259, 207, 279)(189, 261, 210, 282)(194, 266, 215, 287)(196, 268, 201, 273)(197, 269, 214, 286)(199, 271, 216, 288)(203, 275, 213, 285)(205, 277, 211, 283)(208, 280, 212, 284)
	L = (1, 148)(2, 151)(3, 154)(4, 157)(5, 145)(6, 160)(7, 163)(8, 146)(9, 166)(10, 169)(11, 147)(12, 171)(13, 149)(14, 165)(15, 176)(16, 179)(17, 150)(18, 181)(19, 152)(20, 175)(21, 186)(22, 188)(23, 153)(24, 191)(25, 155)(26, 195)(27, 196)(28, 156)(29, 190)(30, 158)(31, 200)(32, 202)(33, 159)(34, 192)(35, 161)(36, 206)(37, 207)(38, 162)(39, 198)(40, 164)(41, 210)(42, 174)(43, 204)(44, 167)(45, 209)(46, 183)(47, 178)(48, 168)(49, 170)(50, 214)(51, 201)(52, 172)(53, 215)(54, 173)(55, 213)(56, 184)(57, 193)(58, 177)(59, 216)(60, 180)(61, 212)(62, 187)(63, 182)(64, 211)(65, 205)(66, 208)(67, 185)(68, 189)(69, 197)(70, 203)(71, 199)(72, 194)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E10.651
Graph:: simple bipartite
	v = 72 e = 144 f = 54
	degree seq :: [ 4^72 ]

E10.651 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 4})
Quotient :: dipole
Aut^+ = (S3 x S3) : C2 (small group id <72, 40>)
Aut   = C2 x ((S3 x S3) : C2) (small group id <144, 186>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, (R * Y2)^2, Y1^4, (Y3 * Y1)^2, (Y3 * Y2)^2, (R * Y1)^2, (R * Y3)^2, Y1^-1 * Y3 * Y1^2 * Y3 * Y1^-1, (Y2 * Y1^-1 * Y2 * Y1)^2, Y1 * Y2 * Y3 * Y1^-2 * Y2 * Y1^-2 * Y2 * Y1, (Y2 * Y1^-1)^6 ]
Map:: polytopal non-degenerate
	R = (1, 73, 2, 74, 6, 78, 5, 77)(3, 75, 9, 81, 19, 91, 11, 83)(4, 76, 12, 84, 15, 87, 8, 80)(7, 79, 16, 88, 30, 102, 18, 90)(10, 82, 22, 94, 36, 108, 21, 93)(13, 85, 25, 97, 44, 116, 26, 98)(14, 86, 27, 99, 46, 118, 29, 101)(17, 89, 33, 105, 52, 124, 32, 104)(20, 92, 37, 109, 56, 128, 34, 106)(23, 95, 40, 112, 61, 133, 41, 113)(24, 96, 42, 114, 51, 123, 43, 115)(28, 100, 49, 121, 35, 107, 48, 120)(31, 103, 53, 125, 68, 140, 50, 122)(38, 110, 55, 127, 71, 143, 58, 130)(39, 111, 59, 131, 72, 144, 60, 132)(45, 117, 47, 119, 65, 137, 64, 136)(54, 126, 67, 139, 57, 129, 70, 142)(62, 134, 66, 138, 63, 135, 69, 141)(145, 217, 147, 219)(146, 218, 151, 223)(148, 220, 154, 226)(149, 221, 157, 229)(150, 222, 158, 230)(152, 224, 161, 233)(153, 225, 164, 236)(155, 227, 167, 239)(156, 228, 168, 240)(159, 231, 172, 244)(160, 232, 175, 247)(162, 234, 178, 250)(163, 235, 179, 251)(165, 237, 182, 254)(166, 238, 183, 255)(169, 241, 184, 256)(170, 242, 189, 261)(171, 243, 191, 263)(173, 245, 194, 266)(174, 246, 195, 267)(176, 248, 198, 270)(177, 249, 199, 271)(180, 252, 190, 262)(181, 253, 201, 273)(185, 257, 206, 278)(186, 258, 207, 279)(187, 259, 204, 276)(188, 260, 196, 268)(192, 264, 210, 282)(193, 265, 211, 283)(197, 269, 213, 285)(200, 272, 216, 288)(202, 274, 212, 284)(203, 275, 209, 281)(205, 277, 215, 287)(208, 280, 214, 286)
	L = (1, 148)(2, 152)(3, 154)(4, 145)(5, 156)(6, 159)(7, 161)(8, 146)(9, 165)(10, 147)(11, 166)(12, 149)(13, 168)(14, 172)(15, 150)(16, 176)(17, 151)(18, 177)(19, 180)(20, 182)(21, 153)(22, 155)(23, 183)(24, 157)(25, 187)(26, 186)(27, 192)(28, 158)(29, 193)(30, 196)(31, 198)(32, 160)(33, 162)(34, 199)(35, 190)(36, 163)(37, 202)(38, 164)(39, 167)(40, 204)(41, 203)(42, 170)(43, 169)(44, 195)(45, 207)(46, 179)(47, 210)(48, 171)(49, 173)(50, 211)(51, 188)(52, 174)(53, 214)(54, 175)(55, 178)(56, 215)(57, 212)(58, 181)(59, 185)(60, 184)(61, 216)(62, 209)(63, 189)(64, 213)(65, 206)(66, 191)(67, 194)(68, 201)(69, 208)(70, 197)(71, 200)(72, 205)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 4^4 ), ( 4^8 ) }
Outer automorphisms :: reflexible
Dual of E10.650
Graph:: simple bipartite
	v = 54 e = 144 f = 72
	degree seq :: [ 4^36, 8^18 ]

E10.652 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 4})
Quotient :: dipole
Aut^+ = (S3 x S3) : C2 (small group id <72, 40>)
Aut   = C2 x ((S3 x S3) : C2) (small group id <144, 186>)
|r| :: 2
Presentation :: [ Y2^2, R^2, Y3^4, (Y3 * Y2)^2, (R * Y1)^2, (R * Y3)^2, (Y3 * Y1)^2, Y1^4, (R * Y2 * Y3^-1)^2, Y3^-1 * Y2 * Y3^2 * Y2 * Y3^-1, Y1^-1 * Y3^-2 * Y2 * Y1 * Y2, (Y1^-1 * R * Y2)^2, (Y3^-1 * Y1)^3, Y2 * Y1 * Y3 * Y2 * Y1 * Y3^2 * Y1^-1, Y2 * Y1^-1 * Y3^-1 * Y1 * Y3^-1 * Y2 * Y1^-2 ]
Map:: polyhedral non-degenerate
	R = (1, 73, 2, 74, 7, 79, 5, 77)(3, 75, 11, 83, 31, 103, 13, 85)(4, 76, 15, 87, 39, 111, 17, 89)(6, 78, 20, 92, 29, 101, 9, 81)(8, 80, 24, 96, 51, 123, 26, 98)(10, 82, 30, 102, 49, 121, 22, 94)(12, 84, 35, 107, 45, 117, 25, 97)(14, 86, 38, 110, 59, 131, 33, 105)(16, 88, 32, 104, 58, 130, 40, 112)(18, 90, 41, 113, 54, 126, 42, 114)(19, 91, 23, 95, 50, 122, 43, 115)(21, 93, 44, 116, 34, 106, 46, 118)(27, 99, 55, 127, 68, 140, 53, 125)(28, 100, 52, 124, 67, 139, 56, 128)(36, 108, 60, 132, 70, 142, 61, 133)(37, 109, 57, 129, 69, 141, 62, 134)(47, 119, 65, 137, 72, 144, 64, 136)(48, 120, 63, 135, 71, 143, 66, 138)(145, 217, 147, 219)(146, 218, 152, 224)(148, 220, 158, 230)(149, 221, 162, 234)(150, 222, 156, 228)(151, 223, 165, 237)(153, 225, 171, 243)(154, 226, 169, 241)(155, 227, 176, 248)(157, 229, 180, 252)(159, 231, 179, 251)(160, 232, 170, 242)(161, 233, 178, 250)(163, 235, 181, 253)(164, 236, 182, 254)(166, 238, 191, 263)(167, 239, 189, 261)(168, 240, 196, 268)(172, 244, 190, 262)(173, 245, 198, 270)(174, 246, 199, 271)(175, 247, 193, 265)(177, 249, 200, 272)(183, 255, 201, 273)(184, 256, 206, 278)(185, 257, 204, 276)(186, 258, 192, 264)(187, 259, 195, 267)(188, 260, 207, 279)(194, 266, 209, 281)(197, 269, 210, 282)(202, 274, 212, 284)(203, 275, 214, 286)(205, 277, 208, 280)(211, 283, 216, 288)(213, 285, 215, 287)
	L = (1, 148)(2, 153)(3, 156)(4, 160)(5, 163)(6, 145)(7, 166)(8, 169)(9, 172)(10, 146)(11, 177)(12, 170)(13, 181)(14, 147)(15, 149)(16, 150)(17, 174)(18, 179)(19, 180)(20, 184)(21, 189)(22, 192)(23, 151)(24, 197)(25, 190)(26, 158)(27, 152)(28, 154)(29, 194)(30, 200)(31, 188)(32, 161)(33, 199)(34, 155)(35, 157)(36, 159)(37, 162)(38, 195)(39, 205)(40, 204)(41, 206)(42, 191)(43, 164)(44, 208)(45, 186)(46, 171)(47, 165)(48, 167)(49, 183)(50, 210)(51, 185)(52, 173)(53, 209)(54, 168)(55, 178)(56, 176)(57, 175)(58, 211)(59, 213)(60, 187)(61, 207)(62, 182)(63, 193)(64, 201)(65, 198)(66, 196)(67, 215)(68, 203)(69, 216)(70, 202)(71, 214)(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) :: { ( 4^4 ), ( 4^8 ) }
Outer automorphisms :: reflexible
Dual of E10.649
Graph:: simple bipartite
	v = 54 e = 144 f = 72
	degree seq :: [ 4^36, 8^18 ]

E10.653 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 4})
Quotient :: dipole
Aut^+ = (S3 x S3) : C2 (small group id <72, 40>)
Aut   = C2 x ((S3 x S3) : C2) (small group id <144, 186>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, (R * Y2)^2, Y1^4, (Y3 * Y1^-1)^2, (Y3 * Y2)^2, (R * Y1)^2, (R * Y3)^2, (Y2 * Y1)^4, Y1^-2 * Y2 * Y1^2 * Y2 * Y1^-2 * Y2 ]
Map:: polytopal non-degenerate
	R = (1, 73, 2, 74, 6, 78, 5, 77)(3, 75, 9, 81, 19, 91, 11, 83)(4, 76, 12, 84, 15, 87, 8, 80)(7, 79, 16, 88, 30, 102, 18, 90)(10, 82, 22, 94, 36, 108, 21, 93)(13, 85, 25, 97, 44, 116, 26, 98)(14, 86, 27, 99, 35, 107, 29, 101)(17, 89, 33, 105, 50, 122, 32, 104)(20, 92, 37, 109, 56, 128, 39, 111)(23, 95, 41, 113, 52, 124, 31, 103)(24, 96, 42, 114, 62, 134, 43, 115)(28, 100, 48, 120, 55, 127, 47, 119)(34, 106, 54, 126, 61, 133, 46, 118)(38, 110, 58, 130, 69, 141, 57, 129)(40, 112, 51, 123, 67, 139, 60, 132)(45, 117, 49, 121, 59, 131, 64, 136)(53, 125, 65, 137, 71, 143, 68, 140)(63, 135, 72, 144, 70, 142, 66, 138)(145, 217, 147, 219)(146, 218, 151, 223)(148, 220, 154, 226)(149, 221, 157, 229)(150, 222, 158, 230)(152, 224, 161, 233)(153, 225, 164, 236)(155, 227, 167, 239)(156, 228, 168, 240)(159, 231, 172, 244)(160, 232, 175, 247)(162, 234, 178, 250)(163, 235, 179, 251)(165, 237, 182, 254)(166, 238, 184, 256)(169, 241, 189, 261)(170, 242, 181, 253)(171, 243, 190, 262)(173, 245, 193, 265)(174, 246, 188, 260)(176, 248, 195, 267)(177, 249, 197, 269)(180, 252, 199, 271)(183, 255, 203, 275)(185, 257, 205, 277)(186, 258, 201, 273)(187, 259, 207, 279)(191, 263, 209, 281)(192, 264, 210, 282)(194, 266, 206, 278)(196, 268, 200, 272)(198, 270, 208, 280)(202, 274, 214, 286)(204, 276, 215, 287)(211, 283, 213, 285)(212, 284, 216, 288)
	L = (1, 148)(2, 152)(3, 154)(4, 145)(5, 156)(6, 159)(7, 161)(8, 146)(9, 165)(10, 147)(11, 166)(12, 149)(13, 168)(14, 172)(15, 150)(16, 176)(17, 151)(18, 177)(19, 180)(20, 182)(21, 153)(22, 155)(23, 184)(24, 157)(25, 187)(26, 186)(27, 191)(28, 158)(29, 192)(30, 194)(31, 195)(32, 160)(33, 162)(34, 197)(35, 199)(36, 163)(37, 201)(38, 164)(39, 202)(40, 167)(41, 204)(42, 170)(43, 169)(44, 206)(45, 207)(46, 209)(47, 171)(48, 173)(49, 210)(50, 174)(51, 175)(52, 211)(53, 178)(54, 212)(55, 179)(56, 213)(57, 181)(58, 183)(59, 214)(60, 185)(61, 215)(62, 188)(63, 189)(64, 216)(65, 190)(66, 193)(67, 196)(68, 198)(69, 200)(70, 203)(71, 205)(72, 208)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 4^4 ), ( 4^8 ) }
Outer automorphisms :: reflexible
Dual of E10.648
Graph:: simple bipartite
	v = 54 e = 144 f = 72
	degree seq :: [ 4^36, 8^18 ]

E10.654 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 2, 4})
Quotient :: halfedge^2
Aut^+ = (C3 x A4) : C2 (small group id <72, 43>)
Aut   = S3 x S4 (small group id <144, 183>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, Y3^2, R^2, R * Y3 * R * Y2, (R * Y1)^2, (Y3 * Y2)^3, (Y3 * Y1)^3, (Y2 * Y1)^3, (Y1 * Y2 * Y3)^4 ]
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, 88, 16, 80)(10, 91, 19, 82)(12, 93, 21, 84)(14, 96, 24, 86)(15, 97, 25, 87)(17, 100, 28, 89)(18, 101, 29, 90)(20, 104, 32, 92)(22, 107, 35, 94)(23, 108, 36, 95)(26, 112, 40, 98)(27, 113, 41, 99)(30, 117, 45, 102)(31, 115, 43, 103)(33, 120, 48, 105)(34, 121, 49, 106)(37, 125, 53, 109)(38, 123, 51, 110)(39, 127, 55, 111)(42, 126, 54, 114)(44, 132, 60, 116)(46, 122, 50, 118)(47, 134, 62, 119)(52, 139, 67, 124)(56, 138, 66, 128)(57, 136, 64, 129)(58, 140, 68, 130)(59, 135, 63, 131)(61, 137, 65, 133)(69, 144, 72, 141)(70, 143, 71, 142)
	L = (1, 3)(2, 5)(4, 10)(6, 14)(7, 11)(8, 17)(9, 18)(12, 22)(13, 23)(15, 26)(16, 27)(19, 29)(20, 33)(21, 34)(24, 36)(25, 39)(28, 41)(30, 37)(31, 46)(32, 47)(35, 49)(38, 54)(40, 55)(42, 56)(43, 59)(44, 61)(45, 57)(48, 62)(50, 63)(51, 66)(52, 68)(53, 64)(58, 70)(60, 69)(65, 72)(67, 71)(73, 76)(74, 78)(75, 80)(77, 84)(79, 87)(81, 85)(82, 89)(83, 92)(86, 94)(88, 97)(90, 102)(91, 103)(93, 104)(95, 109)(96, 110)(98, 105)(99, 114)(100, 115)(101, 116)(106, 122)(107, 123)(108, 124)(111, 128)(112, 129)(113, 130)(117, 132)(118, 133)(119, 135)(120, 136)(121, 137)(125, 139)(126, 140)(127, 141)(131, 142)(134, 143)(138, 144)
	local type(s) :: { ( 8^4 ) }
Outer automorphisms :: reflexible
Dual of E10.655
Transitivity :: VT+ AT
Graph:: simple
	v = 36 e = 72 f = 18
	degree seq :: [ 4^36 ]

E10.655 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 2, 4})
Quotient :: halfedge^2
Aut^+ = (C3 x A4) : C2 (small group id <72, 43>)
Aut   = S3 x S4 (small group id <144, 183>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, R * Y3 * R * Y2, (R * Y1)^2, Y1^4, (Y3 * Y1^-1)^3, (Y1^-1 * Y2)^3, (Y1^-1 * Y2 * Y3)^2, (Y3 * Y2)^3, Y3 * Y1^-1 * Y2 * Y1 * Y2 * Y3 * Y2 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 74, 2, 78, 6, 77, 5, 73)(3, 81, 9, 97, 25, 83, 11, 75)(4, 84, 12, 103, 31, 86, 14, 76)(7, 91, 19, 117, 45, 93, 21, 79)(8, 94, 22, 122, 50, 96, 24, 80)(10, 100, 28, 124, 52, 95, 23, 82)(13, 106, 34, 134, 62, 107, 35, 85)(15, 108, 36, 127, 55, 98, 26, 87)(16, 109, 37, 129, 57, 105, 33, 88)(17, 111, 39, 135, 63, 113, 41, 89)(18, 114, 42, 139, 67, 116, 44, 90)(20, 119, 47, 140, 68, 115, 43, 92)(27, 120, 48, 136, 64, 128, 56, 99)(29, 118, 46, 138, 66, 131, 59, 101)(30, 132, 60, 104, 32, 130, 58, 102)(38, 112, 40, 137, 65, 126, 54, 110)(49, 143, 71, 123, 51, 142, 70, 121)(53, 144, 72, 133, 61, 141, 69, 125)
	L = (1, 3)(2, 7)(4, 13)(5, 15)(6, 17)(8, 23)(9, 26)(10, 29)(11, 19)(12, 32)(14, 27)(16, 38)(18, 43)(20, 48)(21, 39)(22, 51)(24, 46)(25, 53)(28, 57)(30, 42)(31, 47)(33, 59)(34, 56)(35, 58)(36, 41)(37, 49)(40, 66)(44, 64)(45, 69)(50, 65)(52, 70)(54, 71)(55, 72)(60, 68)(61, 63)(62, 67)(73, 76)(74, 80)(75, 82)(77, 88)(78, 90)(79, 92)(81, 99)(83, 102)(84, 105)(85, 101)(86, 94)(87, 106)(89, 112)(91, 118)(93, 121)(95, 120)(96, 114)(97, 126)(98, 123)(100, 130)(103, 133)(104, 113)(107, 117)(108, 131)(109, 116)(110, 128)(111, 136)(115, 138)(119, 142)(122, 144)(124, 135)(125, 139)(127, 140)(129, 141)(132, 137)(134, 143)
	local type(s) :: { ( 4^8 ) }
Outer automorphisms :: reflexible
Dual of E10.654
Transitivity :: VT+ AT
Graph:: simple
	v = 18 e = 72 f = 36
	degree seq :: [ 8^18 ]

E10.656 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 2, 4})
Quotient :: edge^2
Aut^+ = (C3 x A4) : C2 (small group id <72, 43>)
Aut   = S3 x S4 (small group id <144, 183>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, Y3^2, R^2, (R * Y3)^2, R * Y1 * R * Y2, (Y3 * Y2)^3, (Y3 * Y1)^3, (Y2 * Y1)^3, (Y1 * Y3 * Y2)^4 ]
Map:: polytopal
	R = (1, 73, 4, 76)(2, 74, 6, 78)(3, 75, 8, 80)(5, 77, 12, 84)(7, 79, 15, 87)(9, 81, 13, 85)(10, 82, 17, 89)(11, 83, 20, 92)(14, 86, 22, 94)(16, 88, 25, 97)(18, 90, 30, 102)(19, 91, 31, 103)(21, 93, 32, 104)(23, 95, 37, 109)(24, 96, 38, 110)(26, 98, 33, 105)(27, 99, 42, 114)(28, 100, 43, 115)(29, 101, 44, 116)(34, 106, 50, 122)(35, 107, 51, 123)(36, 108, 52, 124)(39, 111, 56, 128)(40, 112, 57, 129)(41, 113, 58, 130)(45, 117, 60, 132)(46, 118, 61, 133)(47, 119, 63, 135)(48, 120, 64, 136)(49, 121, 65, 137)(53, 125, 67, 139)(54, 126, 68, 140)(55, 127, 69, 141)(59, 131, 70, 142)(62, 134, 71, 143)(66, 138, 72, 144)(145, 146)(147, 151)(148, 153)(149, 155)(150, 157)(152, 160)(154, 163)(156, 165)(158, 168)(159, 169)(161, 172)(162, 173)(164, 176)(166, 179)(167, 180)(170, 184)(171, 185)(174, 189)(175, 187)(177, 192)(178, 193)(181, 197)(182, 195)(183, 199)(186, 198)(188, 204)(190, 194)(191, 206)(196, 211)(200, 210)(201, 208)(202, 212)(203, 207)(205, 209)(213, 216)(214, 215)(217, 219)(218, 221)(220, 226)(222, 230)(223, 227)(224, 233)(225, 234)(228, 238)(229, 239)(231, 242)(232, 243)(235, 245)(236, 249)(237, 250)(240, 252)(241, 255)(244, 257)(246, 253)(247, 262)(248, 263)(251, 265)(254, 270)(256, 271)(258, 272)(259, 275)(260, 277)(261, 273)(264, 278)(266, 279)(267, 282)(268, 284)(269, 280)(274, 286)(276, 285)(281, 288)(283, 287)
	L = (1, 145)(2, 146)(3, 147)(4, 148)(5, 149)(6, 150)(7, 151)(8, 152)(9, 153)(10, 154)(11, 155)(12, 156)(13, 157)(14, 158)(15, 159)(16, 160)(17, 161)(18, 162)(19, 163)(20, 164)(21, 165)(22, 166)(23, 167)(24, 168)(25, 169)(26, 170)(27, 171)(28, 172)(29, 173)(30, 174)(31, 175)(32, 176)(33, 177)(34, 178)(35, 179)(36, 180)(37, 181)(38, 182)(39, 183)(40, 184)(41, 185)(42, 186)(43, 187)(44, 188)(45, 189)(46, 190)(47, 191)(48, 192)(49, 193)(50, 194)(51, 195)(52, 196)(53, 197)(54, 198)(55, 199)(56, 200)(57, 201)(58, 202)(59, 203)(60, 204)(61, 205)(62, 206)(63, 207)(64, 208)(65, 209)(66, 210)(67, 211)(68, 212)(69, 213)(70, 214)(71, 215)(72, 216)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 16, 16 ), ( 16^4 ) }
Outer automorphisms :: reflexible
Dual of E10.659
Graph:: simple bipartite
	v = 108 e = 144 f = 18
	degree seq :: [ 2^72, 4^36 ]

E10.657 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 2, 4})
Quotient :: edge^2
Aut^+ = (C3 x A4) : C2 (small group id <72, 43>)
Aut   = S3 x S4 (small group id <144, 183>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^4, (R * Y3)^2, R * Y1 * R * Y2, (Y2 * Y3^-1)^3, (Y3^-1 * Y2 * Y1)^2, (Y1 * Y3^-1)^3, (Y2 * Y1)^3, Y3^-2 * Y1 * Y3 * Y2 * Y1 * Y3 * Y2 ]
Map:: polytopal
	R = (1, 73, 4, 76, 14, 86, 5, 77)(2, 74, 7, 79, 22, 94, 8, 80)(3, 75, 10, 82, 28, 100, 11, 83)(6, 78, 18, 90, 42, 114, 19, 91)(9, 81, 25, 97, 53, 125, 26, 98)(12, 84, 23, 95, 51, 123, 31, 103)(13, 85, 30, 102, 43, 115, 33, 105)(15, 87, 37, 109, 45, 117, 20, 92)(16, 88, 38, 110, 54, 126, 27, 99)(17, 89, 39, 111, 63, 135, 40, 112)(21, 93, 44, 116, 29, 101, 47, 119)(24, 96, 52, 124, 64, 136, 41, 113)(32, 104, 49, 121, 70, 142, 58, 130)(34, 106, 57, 129, 66, 138, 61, 133)(35, 107, 60, 132, 68, 140, 46, 118)(36, 108, 62, 134, 69, 141, 55, 127)(48, 120, 67, 139, 56, 128, 71, 143)(50, 122, 72, 144, 59, 131, 65, 137)(145, 146)(147, 153)(148, 156)(149, 159)(150, 161)(151, 164)(152, 167)(154, 168)(155, 173)(157, 176)(158, 178)(160, 162)(163, 187)(165, 190)(166, 192)(169, 188)(170, 196)(171, 194)(172, 199)(174, 183)(175, 201)(177, 203)(179, 206)(180, 185)(181, 205)(182, 184)(186, 209)(189, 211)(191, 213)(193, 216)(195, 215)(197, 212)(198, 214)(200, 210)(202, 207)(204, 208)(217, 219)(218, 222)(220, 229)(221, 232)(223, 237)(224, 240)(225, 233)(226, 243)(227, 246)(228, 242)(230, 251)(231, 252)(234, 257)(235, 260)(236, 256)(238, 265)(239, 266)(241, 261)(244, 272)(245, 273)(247, 255)(248, 268)(249, 276)(250, 274)(253, 275)(254, 262)(258, 282)(259, 283)(263, 286)(264, 284)(267, 285)(269, 288)(270, 287)(271, 281)(277, 280)(278, 279)
	L = (1, 145)(2, 146)(3, 147)(4, 148)(5, 149)(6, 150)(7, 151)(8, 152)(9, 153)(10, 154)(11, 155)(12, 156)(13, 157)(14, 158)(15, 159)(16, 160)(17, 161)(18, 162)(19, 163)(20, 164)(21, 165)(22, 166)(23, 167)(24, 168)(25, 169)(26, 170)(27, 171)(28, 172)(29, 173)(30, 174)(31, 175)(32, 176)(33, 177)(34, 178)(35, 179)(36, 180)(37, 181)(38, 182)(39, 183)(40, 184)(41, 185)(42, 186)(43, 187)(44, 188)(45, 189)(46, 190)(47, 191)(48, 192)(49, 193)(50, 194)(51, 195)(52, 196)(53, 197)(54, 198)(55, 199)(56, 200)(57, 201)(58, 202)(59, 203)(60, 204)(61, 205)(62, 206)(63, 207)(64, 208)(65, 209)(66, 210)(67, 211)(68, 212)(69, 213)(70, 214)(71, 215)(72, 216)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 8, 8 ), ( 8^8 ) }
Outer automorphisms :: reflexible
Dual of E10.658
Graph:: simple bipartite
	v = 90 e = 144 f = 36
	degree seq :: [ 2^72, 8^18 ]

E10.658 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 2, 4})
Quotient :: loop^2
Aut^+ = (C3 x A4) : C2 (small group id <72, 43>)
Aut   = S3 x S4 (small group id <144, 183>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, Y3^2, R^2, (R * Y3)^2, R * Y1 * R * Y2, (Y3 * Y2)^3, (Y3 * Y1)^3, (Y2 * Y1)^3, (Y1 * Y3 * Y2)^4 ]
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, 13, 85, 157, 229)(10, 82, 154, 226, 17, 89, 161, 233)(11, 83, 155, 227, 20, 92, 164, 236)(14, 86, 158, 230, 22, 94, 166, 238)(16, 88, 160, 232, 25, 97, 169, 241)(18, 90, 162, 234, 30, 102, 174, 246)(19, 91, 163, 235, 31, 103, 175, 247)(21, 93, 165, 237, 32, 104, 176, 248)(23, 95, 167, 239, 37, 109, 181, 253)(24, 96, 168, 240, 38, 110, 182, 254)(26, 98, 170, 242, 33, 105, 177, 249)(27, 99, 171, 243, 42, 114, 186, 258)(28, 100, 172, 244, 43, 115, 187, 259)(29, 101, 173, 245, 44, 116, 188, 260)(34, 106, 178, 250, 50, 122, 194, 266)(35, 107, 179, 251, 51, 123, 195, 267)(36, 108, 180, 252, 52, 124, 196, 268)(39, 111, 183, 255, 56, 128, 200, 272)(40, 112, 184, 256, 57, 129, 201, 273)(41, 113, 185, 257, 58, 130, 202, 274)(45, 117, 189, 261, 60, 132, 204, 276)(46, 118, 190, 262, 61, 133, 205, 277)(47, 119, 191, 263, 63, 135, 207, 279)(48, 120, 192, 264, 64, 136, 208, 280)(49, 121, 193, 265, 65, 137, 209, 281)(53, 125, 197, 269, 67, 139, 211, 283)(54, 126, 198, 270, 68, 140, 212, 284)(55, 127, 199, 271, 69, 141, 213, 285)(59, 131, 203, 275, 70, 142, 214, 286)(62, 134, 206, 278, 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, 91)(11, 77)(12, 93)(13, 78)(14, 96)(15, 97)(16, 80)(17, 100)(18, 101)(19, 82)(20, 104)(21, 84)(22, 107)(23, 108)(24, 86)(25, 87)(26, 112)(27, 113)(28, 89)(29, 90)(30, 117)(31, 115)(32, 92)(33, 120)(34, 121)(35, 94)(36, 95)(37, 125)(38, 123)(39, 127)(40, 98)(41, 99)(42, 126)(43, 103)(44, 132)(45, 102)(46, 122)(47, 134)(48, 105)(49, 106)(50, 118)(51, 110)(52, 139)(53, 109)(54, 114)(55, 111)(56, 138)(57, 136)(58, 140)(59, 135)(60, 116)(61, 137)(62, 119)(63, 131)(64, 129)(65, 133)(66, 128)(67, 124)(68, 130)(69, 144)(70, 143)(71, 142)(72, 141)(145, 219)(146, 221)(147, 217)(148, 226)(149, 218)(150, 230)(151, 227)(152, 233)(153, 234)(154, 220)(155, 223)(156, 238)(157, 239)(158, 222)(159, 242)(160, 243)(161, 224)(162, 225)(163, 245)(164, 249)(165, 250)(166, 228)(167, 229)(168, 252)(169, 255)(170, 231)(171, 232)(172, 257)(173, 235)(174, 253)(175, 262)(176, 263)(177, 236)(178, 237)(179, 265)(180, 240)(181, 246)(182, 270)(183, 241)(184, 271)(185, 244)(186, 272)(187, 275)(188, 277)(189, 273)(190, 247)(191, 248)(192, 278)(193, 251)(194, 279)(195, 282)(196, 284)(197, 280)(198, 254)(199, 256)(200, 258)(201, 261)(202, 286)(203, 259)(204, 285)(205, 260)(206, 264)(207, 266)(208, 269)(209, 288)(210, 267)(211, 287)(212, 268)(213, 276)(214, 274)(215, 283)(216, 281)
	local type(s) :: { ( 2, 8, 2, 8, 2, 8, 2, 8 ) }
Outer automorphisms :: reflexible
Dual of E10.657
Transitivity :: VT+
Graph::
	v = 36 e = 144 f = 90
	degree seq :: [ 8^36 ]

E10.659 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 2, 4})
Quotient :: loop^2
Aut^+ = (C3 x A4) : C2 (small group id <72, 43>)
Aut   = S3 x S4 (small group id <144, 183>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^4, (R * Y3)^2, R * Y1 * R * Y2, (Y2 * Y3^-1)^3, (Y3^-1 * Y2 * Y1)^2, (Y1 * Y3^-1)^3, (Y2 * Y1)^3, Y3^-2 * Y1 * Y3 * Y2 * Y1 * Y3 * Y2 ]
Map::
	R = (1, 73, 145, 217, 4, 76, 148, 220, 14, 86, 158, 230, 5, 77, 149, 221)(2, 74, 146, 218, 7, 79, 151, 223, 22, 94, 166, 238, 8, 80, 152, 224)(3, 75, 147, 219, 10, 82, 154, 226, 28, 100, 172, 244, 11, 83, 155, 227)(6, 78, 150, 222, 18, 90, 162, 234, 42, 114, 186, 258, 19, 91, 163, 235)(9, 81, 153, 225, 25, 97, 169, 241, 53, 125, 197, 269, 26, 98, 170, 242)(12, 84, 156, 228, 23, 95, 167, 239, 51, 123, 195, 267, 31, 103, 175, 247)(13, 85, 157, 229, 30, 102, 174, 246, 43, 115, 187, 259, 33, 105, 177, 249)(15, 87, 159, 231, 37, 109, 181, 253, 45, 117, 189, 261, 20, 92, 164, 236)(16, 88, 160, 232, 38, 110, 182, 254, 54, 126, 198, 270, 27, 99, 171, 243)(17, 89, 161, 233, 39, 111, 183, 255, 63, 135, 207, 279, 40, 112, 184, 256)(21, 93, 165, 237, 44, 116, 188, 260, 29, 101, 173, 245, 47, 119, 191, 263)(24, 96, 168, 240, 52, 124, 196, 268, 64, 136, 208, 280, 41, 113, 185, 257)(32, 104, 176, 248, 49, 121, 193, 265, 70, 142, 214, 286, 58, 130, 202, 274)(34, 106, 178, 250, 57, 129, 201, 273, 66, 138, 210, 282, 61, 133, 205, 277)(35, 107, 179, 251, 60, 132, 204, 276, 68, 140, 212, 284, 46, 118, 190, 262)(36, 108, 180, 252, 62, 134, 206, 278, 69, 141, 213, 285, 55, 127, 199, 271)(48, 120, 192, 264, 67, 139, 211, 283, 56, 128, 200, 272, 71, 143, 215, 287)(50, 122, 194, 266, 72, 144, 216, 288, 59, 131, 203, 275, 65, 137, 209, 281)
	L = (1, 74)(2, 73)(3, 81)(4, 84)(5, 87)(6, 89)(7, 92)(8, 95)(9, 75)(10, 96)(11, 101)(12, 76)(13, 104)(14, 106)(15, 77)(16, 90)(17, 78)(18, 88)(19, 115)(20, 79)(21, 118)(22, 120)(23, 80)(24, 82)(25, 116)(26, 124)(27, 122)(28, 127)(29, 83)(30, 111)(31, 129)(32, 85)(33, 131)(34, 86)(35, 134)(36, 113)(37, 133)(38, 112)(39, 102)(40, 110)(41, 108)(42, 137)(43, 91)(44, 97)(45, 139)(46, 93)(47, 141)(48, 94)(49, 144)(50, 99)(51, 143)(52, 98)(53, 140)(54, 142)(55, 100)(56, 138)(57, 103)(58, 135)(59, 105)(60, 136)(61, 109)(62, 107)(63, 130)(64, 132)(65, 114)(66, 128)(67, 117)(68, 125)(69, 119)(70, 126)(71, 123)(72, 121)(145, 219)(146, 222)(147, 217)(148, 229)(149, 232)(150, 218)(151, 237)(152, 240)(153, 233)(154, 243)(155, 246)(156, 242)(157, 220)(158, 251)(159, 252)(160, 221)(161, 225)(162, 257)(163, 260)(164, 256)(165, 223)(166, 265)(167, 266)(168, 224)(169, 261)(170, 228)(171, 226)(172, 272)(173, 273)(174, 227)(175, 255)(176, 268)(177, 276)(178, 274)(179, 230)(180, 231)(181, 275)(182, 262)(183, 247)(184, 236)(185, 234)(186, 282)(187, 283)(188, 235)(189, 241)(190, 254)(191, 286)(192, 284)(193, 238)(194, 239)(195, 285)(196, 248)(197, 288)(198, 287)(199, 281)(200, 244)(201, 245)(202, 250)(203, 253)(204, 249)(205, 280)(206, 279)(207, 278)(208, 277)(209, 271)(210, 258)(211, 259)(212, 264)(213, 267)(214, 263)(215, 270)(216, 269)
	local type(s) :: { ( 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4 ) }
Outer automorphisms :: reflexible
Dual of E10.656
Transitivity :: VT+
Graph::
	v = 18 e = 144 f = 108
	degree seq :: [ 16^18 ]

E10.660 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 4})
Quotient :: dipole
Aut^+ = (C3 x A4) : C2 (small group id <72, 43>)
Aut   = S3 x S4 (small group id <144, 183>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^3, (Y3 * Y2)^2, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, (Y1 * Y2)^3, (Y3^-1 * Y1)^4, Y3 * Y1 * Y3^-1 * Y2 * Y1 * Y2 * Y3 * 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, 21, 93)(11, 83, 22, 94)(15, 87, 31, 103)(16, 88, 32, 104)(19, 91, 39, 111)(20, 92, 40, 112)(23, 95, 44, 116)(24, 96, 38, 110)(25, 97, 49, 121)(26, 98, 41, 113)(27, 99, 52, 124)(28, 100, 34, 106)(29, 101, 47, 119)(30, 102, 53, 125)(33, 105, 55, 127)(35, 107, 59, 131)(36, 108, 43, 115)(37, 109, 62, 134)(42, 114, 64, 136)(45, 117, 61, 133)(46, 118, 58, 130)(48, 120, 57, 129)(50, 122, 65, 137)(51, 123, 56, 128)(54, 126, 69, 141)(60, 132, 70, 142)(63, 135, 71, 143)(66, 138, 68, 140)(67, 139, 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, 158, 230)(156, 228, 167, 239)(157, 229, 170, 242)(161, 233, 177, 249)(162, 234, 180, 252)(163, 235, 174, 246)(164, 236, 173, 245)(165, 237, 185, 257)(166, 238, 188, 260)(168, 240, 192, 264)(169, 241, 191, 263)(171, 243, 195, 267)(172, 244, 194, 266)(175, 247, 187, 259)(176, 248, 199, 271)(178, 250, 202, 274)(179, 251, 183, 255)(181, 253, 205, 277)(182, 254, 204, 276)(184, 256, 193, 265)(186, 258, 198, 270)(189, 261, 210, 282)(190, 262, 209, 281)(196, 268, 207, 279)(197, 269, 203, 275)(200, 272, 215, 287)(201, 273, 214, 286)(206, 278, 212, 284)(208, 280, 211, 283)(213, 285, 216, 288)
	L = (1, 148)(2, 151)(3, 154)(4, 149)(5, 145)(6, 159)(7, 152)(8, 146)(9, 163)(10, 155)(11, 147)(12, 168)(13, 171)(14, 173)(15, 160)(16, 150)(17, 178)(18, 181)(19, 164)(20, 153)(21, 186)(22, 189)(23, 191)(24, 169)(25, 156)(26, 194)(27, 172)(28, 157)(29, 174)(30, 158)(31, 198)(32, 200)(33, 183)(34, 179)(35, 161)(36, 204)(37, 182)(38, 162)(39, 202)(40, 207)(41, 175)(42, 187)(43, 165)(44, 209)(45, 190)(46, 166)(47, 192)(48, 167)(49, 211)(50, 195)(51, 170)(52, 193)(53, 212)(54, 185)(55, 214)(56, 201)(57, 176)(58, 177)(59, 216)(60, 205)(61, 180)(62, 203)(63, 208)(64, 184)(65, 210)(66, 188)(67, 196)(68, 213)(69, 197)(70, 215)(71, 199)(72, 206)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E10.661
Graph:: simple bipartite
	v = 72 e = 144 f = 54
	degree seq :: [ 4^72 ]

E10.661 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 4})
Quotient :: dipole
Aut^+ = (C3 x A4) : C2 (small group id <72, 43>)
Aut   = S3 x S4 (small group id <144, 183>)
|r| :: 2
Presentation :: [ Y2^2, R^2, Y3^3, (Y3^-1 * Y2)^2, (R * Y3)^2, (R * Y1)^2, Y1^4, (Y1 * Y3)^2, (Y2 * Y1)^3, (R * Y2 * Y3^-1)^2, Y2 * Y3^-1 * Y1^-2 * Y3 * Y2 * Y1^-2, Y1^-1 * Y3^-1 * Y2 * Y1^-1 * Y3 * Y2 * Y1 * Y2 ]
Map:: polytopal non-degenerate
	R = (1, 73, 2, 74, 7, 79, 5, 77)(3, 75, 11, 83, 29, 101, 13, 85)(4, 76, 15, 87, 37, 109, 16, 88)(6, 78, 19, 91, 27, 99, 9, 81)(8, 80, 23, 95, 51, 123, 25, 97)(10, 82, 28, 100, 49, 121, 21, 93)(12, 84, 33, 105, 64, 136, 34, 106)(14, 86, 36, 108, 48, 120, 31, 103)(17, 89, 41, 113, 62, 134, 30, 102)(18, 90, 22, 94, 50, 122, 43, 115)(20, 92, 45, 117, 67, 139, 47, 119)(24, 96, 54, 126, 39, 111, 55, 127)(26, 98, 57, 129, 42, 114, 52, 124)(32, 104, 46, 118, 68, 140, 58, 130)(35, 107, 60, 132, 69, 141, 65, 137)(38, 110, 63, 135, 70, 142, 53, 125)(40, 112, 66, 138, 71, 143, 59, 131)(44, 116, 56, 128, 72, 144, 61, 133)(145, 217, 147, 219)(146, 218, 152, 224)(148, 220, 158, 230)(149, 221, 161, 233)(150, 222, 156, 228)(151, 223, 164, 236)(153, 225, 170, 242)(154, 226, 168, 240)(155, 227, 174, 246)(157, 229, 167, 239)(159, 231, 182, 254)(160, 232, 183, 255)(162, 234, 186, 258)(163, 235, 188, 260)(165, 237, 192, 264)(166, 238, 190, 262)(169, 241, 189, 261)(171, 243, 202, 274)(172, 244, 204, 276)(173, 245, 203, 275)(175, 247, 207, 279)(176, 248, 205, 277)(177, 249, 196, 268)(178, 250, 200, 272)(179, 251, 197, 269)(180, 252, 198, 270)(181, 253, 209, 281)(184, 256, 206, 278)(185, 257, 191, 263)(187, 259, 208, 280)(193, 265, 214, 286)(194, 266, 216, 288)(195, 267, 215, 287)(199, 271, 213, 285)(201, 273, 212, 284)(210, 282, 211, 283)
	L = (1, 148)(2, 153)(3, 156)(4, 150)(5, 162)(6, 145)(7, 165)(8, 168)(9, 154)(10, 146)(11, 175)(12, 158)(13, 179)(14, 147)(15, 149)(16, 184)(17, 182)(18, 159)(19, 160)(20, 190)(21, 166)(22, 151)(23, 196)(24, 170)(25, 200)(26, 152)(27, 203)(28, 171)(29, 202)(30, 205)(31, 176)(32, 155)(33, 157)(34, 189)(35, 177)(36, 178)(37, 187)(38, 186)(39, 188)(40, 163)(41, 201)(42, 161)(43, 210)(44, 206)(45, 180)(46, 192)(47, 213)(48, 164)(49, 215)(50, 193)(51, 214)(52, 197)(53, 167)(54, 169)(55, 185)(56, 198)(57, 199)(58, 204)(59, 172)(60, 173)(61, 207)(62, 183)(63, 174)(64, 209)(65, 211)(66, 181)(67, 208)(68, 191)(69, 212)(70, 216)(71, 194)(72, 195)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 4^4 ), ( 4^8 ) }
Outer automorphisms :: reflexible
Dual of E10.660
Graph:: simple bipartite
	v = 54 e = 144 f = 72
	degree seq :: [ 4^36, 8^18 ]

E10.662 :: Family: { 2*ex } :: Oriented family(ies): { E3c }
Signature :: (0; {4, 4, 4})
Quotient :: loop
Aut^+ = (C3 x C3) : Q8 (small group id <72, 41>)
Aut   = ((C3 x C3) : C8) : C2 (small group id <144, 182>)
|r| :: 2
Presentation :: [ F^2, T1^4, T2^4, F * T1 * F * T2, T2^2 * T1^-1 * T2^-1 * T1^-1 * T2 * T1^-2, T2^2 * T1 * T2 * T1^2 * T2^-1 * T1^-1, T2 * T1 * T2 * T1 * T2^-1 * T1 * T2 * T1^-1, (T2 * T1^-1)^4 ]
Map:: polytopal non-degenerate
	R = (1, 3, 10, 5)(2, 7, 19, 8)(4, 12, 31, 13)(6, 16, 41, 17)(9, 24, 57, 25)(11, 28, 61, 29)(14, 36, 64, 37)(15, 38, 44, 39)(18, 46, 23, 47)(20, 50, 35, 51)(21, 53, 72, 54)(22, 55, 34, 56)(26, 45, 66, 40)(27, 59, 70, 43)(30, 48, 65, 62)(32, 63, 69, 60)(33, 49, 71, 58)(42, 67, 52, 68)(73, 74, 78, 76)(75, 81, 95, 83)(77, 86, 107, 87)(79, 90, 117, 92)(80, 93, 124, 94)(82, 98, 128, 99)(84, 102, 129, 104)(85, 105, 133, 106)(88, 112, 137, 114)(89, 115, 141, 116)(91, 120, 110, 121)(96, 127, 108, 113)(97, 130, 139, 123)(100, 132, 138, 126)(101, 134, 142, 122)(103, 118, 111, 125)(109, 135, 140, 119)(131, 144, 136, 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 ) }
Outer automorphisms :: reflexible
Dual of E10.663
Transitivity :: ET+ VT AT
Graph:: simple bipartite
	v = 36 e = 72 f = 18
	degree seq :: [ 4^36 ]

E10.663 :: Family: { 2ex } :: Oriented family(ies): { E3*c }
Signature :: (0; {4, 4, 4})
Quotient :: edge
Aut^+ = (C3 x C3) : Q8 (small group id <72, 41>)
Aut   = ((C3 x C3) : C8) : C2 (small group id <144, 182>)
|r| :: 2
Presentation :: [ F^2, (F * T2^-1)^2, T2^4, T1^4, F * T1 * T2 * F * T1^-1, F * T1^-1 * T2 * T1 * T2^-1 * F * T1^-2, T1 * T2^-1 * T1 * T2 * T1 * T2 * T1^-1 * T2, (T2^-1 * T1^-1)^4, (T2 * T1^-1)^4, T1 * T2^-1 * T1^2 * T2^2 * T1 * T2, T2 * T1 * T2^-2 * T1^-1 * T2^-1 * T1^-2 ]
Map:: polytopal non-degenerate
	R = (1, 73, 3, 75, 10, 82, 5, 77)(2, 74, 7, 79, 19, 91, 8, 80)(4, 76, 12, 84, 31, 103, 13, 85)(6, 78, 16, 88, 41, 113, 17, 89)(9, 81, 24, 96, 40, 112, 25, 97)(11, 83, 28, 100, 62, 134, 29, 101)(14, 86, 36, 108, 45, 117, 37, 109)(15, 87, 38, 110, 52, 124, 39, 111)(18, 90, 46, 118, 30, 102, 47, 119)(20, 92, 50, 122, 72, 144, 51, 123)(21, 93, 53, 125, 65, 137, 54, 126)(22, 94, 55, 127, 67, 139, 56, 128)(23, 95, 57, 129, 33, 105, 58, 130)(26, 98, 42, 114, 66, 138, 59, 131)(27, 99, 44, 116, 70, 142, 60, 132)(32, 104, 64, 136, 71, 143, 48, 120)(34, 106, 61, 133, 35, 107, 49, 121)(43, 115, 68, 140, 63, 135, 69, 141)
	L = (1, 74)(2, 78)(3, 81)(4, 73)(5, 86)(6, 76)(7, 90)(8, 93)(9, 95)(10, 98)(11, 75)(12, 102)(13, 105)(14, 107)(15, 77)(16, 112)(17, 115)(18, 117)(19, 120)(20, 79)(21, 124)(22, 80)(23, 83)(24, 121)(25, 128)(26, 119)(27, 82)(28, 133)(29, 118)(30, 135)(31, 123)(32, 84)(33, 132)(34, 85)(35, 87)(36, 129)(37, 136)(38, 130)(39, 113)(40, 137)(41, 101)(42, 88)(43, 139)(44, 89)(45, 92)(46, 111)(47, 99)(48, 96)(49, 91)(50, 110)(51, 97)(52, 94)(53, 109)(54, 100)(55, 108)(56, 103)(57, 138)(58, 141)(59, 144)(60, 106)(61, 140)(62, 143)(63, 104)(64, 142)(65, 114)(66, 127)(67, 116)(68, 126)(69, 122)(70, 125)(71, 131)(72, 134)
	local type(s) :: { ( 4^8 ) }
Outer automorphisms :: reflexible
Dual of E10.662
Transitivity :: ET+ VT+
Graph:: simple bipartite
	v = 18 e = 72 f = 36
	degree seq :: [ 8^18 ]

E10.664 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {4, 4, 4})
Quotient :: edge^2
Aut^+ = (C3 x C3) : Q8 (small group id <72, 41>)
Aut   = ((C3 x C3) : C8) : C2 (small group id <144, 182>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y3^-1 * Y2^-1, Y2^4, Y1^4, Y3^4, R * Y2 * R * Y1, (R * Y3)^2, Y1 * Y2^-1 * Y3^-1 * Y1^-1 * Y2 * Y3^-1, Y3 * Y1^-1 * Y2 * Y3^-1 * Y1^-1 * Y2^-1, Y1 * Y2^-1 * Y3^-2 * Y2 * Y1, Y3 * Y2^-2 * Y3^-1 * Y1^2, (Y1^-1 * Y2^-1 * Y3^-1)^2 ]
Map:: polyhedral non-degenerate
	R = (1, 73, 4, 76, 17, 89, 7, 79)(2, 74, 9, 81, 32, 104, 11, 83)(3, 75, 5, 77, 21, 93, 15, 87)(6, 78, 24, 96, 30, 102, 25, 97)(8, 80, 29, 101, 50, 122, 20, 92)(10, 82, 36, 108, 22, 94, 37, 109)(12, 84, 42, 114, 23, 95, 44, 116)(13, 85, 14, 86, 47, 119, 45, 117)(16, 88, 18, 90, 53, 125, 51, 123)(19, 91, 54, 126, 60, 132, 55, 127)(26, 98, 64, 136, 35, 107, 65, 137)(27, 99, 28, 100, 67, 139, 66, 138)(31, 103, 33, 105, 68, 140, 63, 135)(34, 106, 58, 130, 69, 141, 61, 133)(38, 110, 70, 142, 62, 134, 71, 143)(39, 111, 40, 112, 72, 144, 49, 121)(41, 113, 52, 124, 57, 129, 46, 118)(43, 115, 56, 128, 48, 120, 59, 131)(145, 146, 152, 149)(147, 156, 185, 158)(148, 150, 167, 162)(151, 170, 189, 172)(153, 154, 179, 177)(155, 182, 210, 184)(157, 176, 178, 168)(159, 175, 169, 183)(160, 180, 171, 194)(161, 163, 181, 196)(164, 200, 193, 201)(165, 166, 203, 202)(173, 174, 206, 198)(186, 187, 212, 211)(188, 204, 216, 208)(190, 214, 209, 213)(191, 192, 215, 197)(195, 205, 199, 207)(217, 219, 229, 222)(218, 223, 243, 226)(220, 232, 245, 235)(221, 236, 268, 238)(224, 227, 255, 246)(225, 247, 237, 250)(228, 231, 265, 259)(230, 262, 274, 264)(233, 257, 260, 242)(234, 258, 244, 263)(239, 241, 279, 276)(240, 277, 269, 278)(248, 261, 281, 254)(249, 280, 256, 283)(251, 253, 271, 285)(252, 267, 284, 275)(266, 282, 287, 272)(270, 286, 273, 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) :: { ( 4^4 ), ( 4^8 ) }
Outer automorphisms :: reflexible
Dual of E10.667
Graph:: simple bipartite
	v = 54 e = 144 f = 72
	degree seq :: [ 4^36, 8^18 ]

E10.665 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {4, 4, 4})
Quotient :: edge^2
Aut^+ = (C3 x C3) : Q8 (small group id <72, 41>)
Aut   = ((C3 x C3) : C8) : C2 (small group id <144, 182>)
|r| :: 2
Presentation :: [ Y3, R^2, R * Y2 * R * Y1, (R * Y3)^2, Y2^4, Y1^4, Y2 * Y1 * Y2 * Y1^-1 * Y2^2 * Y1^-2, Y2^-1 * Y1 * Y2^-1 * Y1^-1 * Y2 * Y1^-1 * Y2^-1 * Y1^-1, (Y2^-1, Y1^-1)^2, (Y2 * Y1^-1)^4, (Y1^-1 * Y3^-1 * Y2^-1)^4 ]
Map:: polytopal
	R = (1, 73)(2, 74)(3, 75)(4, 76)(5, 77)(6, 78)(7, 79)(8, 80)(9, 81)(10, 82)(11, 83)(12, 84)(13, 85)(14, 86)(15, 87)(16, 88)(17, 89)(18, 90)(19, 91)(20, 92)(21, 93)(22, 94)(23, 95)(24, 96)(25, 97)(26, 98)(27, 99)(28, 100)(29, 101)(30, 102)(31, 103)(32, 104)(33, 105)(34, 106)(35, 107)(36, 108)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)(145, 146, 150, 148)(147, 153, 167, 155)(149, 158, 179, 159)(151, 162, 189, 164)(152, 165, 196, 166)(154, 170, 200, 171)(156, 174, 201, 176)(157, 177, 205, 178)(160, 184, 209, 186)(161, 187, 213, 188)(163, 192, 182, 193)(168, 199, 180, 185)(169, 202, 211, 195)(172, 204, 210, 198)(173, 206, 214, 194)(175, 190, 183, 197)(181, 207, 212, 191)(203, 216, 208, 215)(217, 219, 226, 221)(218, 223, 235, 224)(220, 228, 247, 229)(222, 232, 257, 233)(225, 240, 273, 241)(227, 244, 277, 245)(230, 252, 280, 253)(231, 254, 260, 255)(234, 262, 239, 263)(236, 266, 251, 267)(237, 269, 288, 270)(238, 271, 250, 272)(242, 261, 282, 256)(243, 275, 286, 259)(246, 264, 281, 278)(248, 279, 285, 276)(249, 265, 287, 274)(258, 283, 268, 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) :: { ( 16, 16 ), ( 16^4 ) }
Outer automorphisms :: reflexible
Dual of E10.666
Graph:: simple bipartite
	v = 108 e = 144 f = 18
	degree seq :: [ 2^72, 4^36 ]

E10.666 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {4, 4, 4})
Quotient :: loop^2
Aut^+ = (C3 x C3) : Q8 (small group id <72, 41>)
Aut   = ((C3 x C3) : C8) : C2 (small group id <144, 182>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y3^-1 * Y2^-1, Y2^4, Y1^4, Y3^4, R * Y2 * R * Y1, (R * Y3)^2, Y1 * Y2^-1 * Y3^-1 * Y1^-1 * Y2 * Y3^-1, Y3 * Y1^-1 * Y2 * Y3^-1 * Y1^-1 * Y2^-1, Y1 * Y2^-1 * Y3^-2 * Y2 * Y1, Y3 * Y2^-2 * Y3^-1 * Y1^2, (Y1^-1 * Y2^-1 * Y3^-1)^2 ]
Map::
	R = (1, 73, 145, 217, 4, 76, 148, 220, 17, 89, 161, 233, 7, 79, 151, 223)(2, 74, 146, 218, 9, 81, 153, 225, 32, 104, 176, 248, 11, 83, 155, 227)(3, 75, 147, 219, 5, 77, 149, 221, 21, 93, 165, 237, 15, 87, 159, 231)(6, 78, 150, 222, 24, 96, 168, 240, 30, 102, 174, 246, 25, 97, 169, 241)(8, 80, 152, 224, 29, 101, 173, 245, 50, 122, 194, 266, 20, 92, 164, 236)(10, 82, 154, 226, 36, 108, 180, 252, 22, 94, 166, 238, 37, 109, 181, 253)(12, 84, 156, 228, 42, 114, 186, 258, 23, 95, 167, 239, 44, 116, 188, 260)(13, 85, 157, 229, 14, 86, 158, 230, 47, 119, 191, 263, 45, 117, 189, 261)(16, 88, 160, 232, 18, 90, 162, 234, 53, 125, 197, 269, 51, 123, 195, 267)(19, 91, 163, 235, 54, 126, 198, 270, 60, 132, 204, 276, 55, 127, 199, 271)(26, 98, 170, 242, 64, 136, 208, 280, 35, 107, 179, 251, 65, 137, 209, 281)(27, 99, 171, 243, 28, 100, 172, 244, 67, 139, 211, 283, 66, 138, 210, 282)(31, 103, 175, 247, 33, 105, 177, 249, 68, 140, 212, 284, 63, 135, 207, 279)(34, 106, 178, 250, 58, 130, 202, 274, 69, 141, 213, 285, 61, 133, 205, 277)(38, 110, 182, 254, 70, 142, 214, 286, 62, 134, 206, 278, 71, 143, 215, 287)(39, 111, 183, 255, 40, 112, 184, 256, 72, 144, 216, 288, 49, 121, 193, 265)(41, 113, 185, 257, 52, 124, 196, 268, 57, 129, 201, 273, 46, 118, 190, 262)(43, 115, 187, 259, 56, 128, 200, 272, 48, 120, 192, 264, 59, 131, 203, 275)
	L = (1, 74)(2, 80)(3, 84)(4, 78)(5, 73)(6, 95)(7, 98)(8, 77)(9, 82)(10, 107)(11, 110)(12, 113)(13, 104)(14, 75)(15, 103)(16, 108)(17, 91)(18, 76)(19, 109)(20, 128)(21, 94)(22, 131)(23, 90)(24, 85)(25, 111)(26, 117)(27, 122)(28, 79)(29, 102)(30, 134)(31, 97)(32, 106)(33, 81)(34, 96)(35, 105)(36, 99)(37, 124)(38, 138)(39, 87)(40, 83)(41, 86)(42, 115)(43, 140)(44, 132)(45, 100)(46, 142)(47, 120)(48, 143)(49, 129)(50, 88)(51, 133)(52, 89)(53, 119)(54, 101)(55, 135)(56, 121)(57, 92)(58, 93)(59, 130)(60, 144)(61, 127)(62, 126)(63, 123)(64, 116)(65, 141)(66, 112)(67, 114)(68, 139)(69, 118)(70, 137)(71, 125)(72, 136)(145, 219)(146, 223)(147, 229)(148, 232)(149, 236)(150, 217)(151, 243)(152, 227)(153, 247)(154, 218)(155, 255)(156, 231)(157, 222)(158, 262)(159, 265)(160, 245)(161, 257)(162, 258)(163, 220)(164, 268)(165, 250)(166, 221)(167, 241)(168, 277)(169, 279)(170, 233)(171, 226)(172, 263)(173, 235)(174, 224)(175, 237)(176, 261)(177, 280)(178, 225)(179, 253)(180, 267)(181, 271)(182, 248)(183, 246)(184, 283)(185, 260)(186, 244)(187, 228)(188, 242)(189, 281)(190, 274)(191, 234)(192, 230)(193, 259)(194, 282)(195, 284)(196, 238)(197, 278)(198, 286)(199, 285)(200, 266)(201, 288)(202, 264)(203, 252)(204, 239)(205, 269)(206, 240)(207, 276)(208, 256)(209, 254)(210, 287)(211, 249)(212, 275)(213, 251)(214, 273)(215, 272)(216, 270)
	local type(s) :: { ( 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4 ) }
Outer automorphisms :: reflexible
Dual of E10.665
Transitivity :: VT+
Graph:: bipartite
	v = 18 e = 144 f = 108
	degree seq :: [ 16^18 ]

E10.667 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {4, 4, 4})
Quotient :: loop^2
Aut^+ = (C3 x C3) : Q8 (small group id <72, 41>)
Aut   = ((C3 x C3) : C8) : C2 (small group id <144, 182>)
|r| :: 2
Presentation :: [ Y3, R^2, R * Y2 * R * Y1, (R * Y3)^2, Y2^4, Y1^4, Y2 * Y1 * Y2 * Y1^-1 * Y2^2 * Y1^-2, Y2^-1 * Y1 * Y2^-1 * Y1^-1 * Y2 * Y1^-1 * Y2^-1 * Y1^-1, (Y2^-1, Y1^-1)^2, (Y2 * Y1^-1)^4, (Y1^-1 * Y3^-1 * Y2^-1)^4 ]
Map:: polyhedral non-degenerate
	R = (1, 73, 145, 217)(2, 74, 146, 218)(3, 75, 147, 219)(4, 76, 148, 220)(5, 77, 149, 221)(6, 78, 150, 222)(7, 79, 151, 223)(8, 80, 152, 224)(9, 81, 153, 225)(10, 82, 154, 226)(11, 83, 155, 227)(12, 84, 156, 228)(13, 85, 157, 229)(14, 86, 158, 230)(15, 87, 159, 231)(16, 88, 160, 232)(17, 89, 161, 233)(18, 90, 162, 234)(19, 91, 163, 235)(20, 92, 164, 236)(21, 93, 165, 237)(22, 94, 166, 238)(23, 95, 167, 239)(24, 96, 168, 240)(25, 97, 169, 241)(26, 98, 170, 242)(27, 99, 171, 243)(28, 100, 172, 244)(29, 101, 173, 245)(30, 102, 174, 246)(31, 103, 175, 247)(32, 104, 176, 248)(33, 105, 177, 249)(34, 106, 178, 250)(35, 107, 179, 251)(36, 108, 180, 252)(37, 109, 181, 253)(38, 110, 182, 254)(39, 111, 183, 255)(40, 112, 184, 256)(41, 113, 185, 257)(42, 114, 186, 258)(43, 115, 187, 259)(44, 116, 188, 260)(45, 117, 189, 261)(46, 118, 190, 262)(47, 119, 191, 263)(48, 120, 192, 264)(49, 121, 193, 265)(50, 122, 194, 266)(51, 123, 195, 267)(52, 124, 196, 268)(53, 125, 197, 269)(54, 126, 198, 270)(55, 127, 199, 271)(56, 128, 200, 272)(57, 129, 201, 273)(58, 130, 202, 274)(59, 131, 203, 275)(60, 132, 204, 276)(61, 133, 205, 277)(62, 134, 206, 278)(63, 135, 207, 279)(64, 136, 208, 280)(65, 137, 209, 281)(66, 138, 210, 282)(67, 139, 211, 283)(68, 140, 212, 284)(69, 141, 213, 285)(70, 142, 214, 286)(71, 143, 215, 287)(72, 144, 216, 288)
	L = (1, 74)(2, 78)(3, 81)(4, 73)(5, 86)(6, 76)(7, 90)(8, 93)(9, 95)(10, 98)(11, 75)(12, 102)(13, 105)(14, 107)(15, 77)(16, 112)(17, 115)(18, 117)(19, 120)(20, 79)(21, 124)(22, 80)(23, 83)(24, 127)(25, 130)(26, 128)(27, 82)(28, 132)(29, 134)(30, 129)(31, 118)(32, 84)(33, 133)(34, 85)(35, 87)(36, 113)(37, 135)(38, 121)(39, 125)(40, 137)(41, 96)(42, 88)(43, 141)(44, 89)(45, 92)(46, 111)(47, 109)(48, 110)(49, 91)(50, 101)(51, 97)(52, 94)(53, 103)(54, 100)(55, 108)(56, 99)(57, 104)(58, 139)(59, 144)(60, 138)(61, 106)(62, 142)(63, 140)(64, 143)(65, 114)(66, 126)(67, 123)(68, 119)(69, 116)(70, 122)(71, 131)(72, 136)(145, 219)(146, 223)(147, 226)(148, 228)(149, 217)(150, 232)(151, 235)(152, 218)(153, 240)(154, 221)(155, 244)(156, 247)(157, 220)(158, 252)(159, 254)(160, 257)(161, 222)(162, 262)(163, 224)(164, 266)(165, 269)(166, 271)(167, 263)(168, 273)(169, 225)(170, 261)(171, 275)(172, 277)(173, 227)(174, 264)(175, 229)(176, 279)(177, 265)(178, 272)(179, 267)(180, 280)(181, 230)(182, 260)(183, 231)(184, 242)(185, 233)(186, 283)(187, 243)(188, 255)(189, 282)(190, 239)(191, 234)(192, 281)(193, 287)(194, 251)(195, 236)(196, 284)(197, 288)(198, 237)(199, 250)(200, 238)(201, 241)(202, 249)(203, 286)(204, 248)(205, 245)(206, 246)(207, 285)(208, 253)(209, 278)(210, 256)(211, 268)(212, 258)(213, 276)(214, 259)(215, 274)(216, 270)
	local type(s) :: { ( 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E10.664
Transitivity :: VT+
Graph:: simple bipartite
	v = 72 e = 144 f = 54
	degree seq :: [ 4^72 ]

E10.668 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {3, 4, 6})
Quotient :: edge
Aut^+ = C3 x S4 (small group id <72, 42>)
Aut   = S3 x S4 (small group id <144, 183>)
|r| :: 2
Presentation :: [ F^2, T1^3, (F * T1)^2, (F * T2)^2, T2^4, T2 * T1 * T2 * T1 * T2^-1 * T1^-1 * T2^-1 * T1^-1, T2 * T1 * T2^-1 * T1 * T2 * T1^-1 * T2 * T1^-1, (T1^-1 * T2^-1)^6 ]
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, 46, 69, 55)(28, 58, 71, 53)(29, 47, 70, 59)(30, 54, 72, 60)(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, 107, 118)(93, 114, 119)(96, 115, 125)(97, 111, 126)(99, 128, 129)(103, 108, 131)(104, 113, 127)(105, 112, 130)(106, 116, 132)(117, 134, 137)(120, 135, 140)(121, 139, 138)(122, 142, 143)(123, 141, 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) :: { ( 12^3 ), ( 12^4 ) }
Outer automorphisms :: reflexible
Dual of E10.672
Transitivity :: ET+
Graph:: simple bipartite
	v = 42 e = 72 f = 12
	degree seq :: [ 3^24, 4^18 ]

E10.669 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {3, 4, 6})
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, T2^6, T2^2 * T1 * T2^-2 * T1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 3, 10, 28, 16, 5)(2, 7, 20, 44, 24, 8)(4, 12, 29, 51, 34, 13)(6, 17, 37, 59, 41, 18)(9, 26, 49, 32, 14, 27)(11, 22, 43, 19, 15, 30)(21, 39, 58, 36, 23, 45)(25, 47, 64, 56, 35, 48)(31, 40, 60, 38, 33, 55)(42, 62, 53, 66, 46, 63)(50, 68, 54, 67, 52, 69)(57, 70, 65, 72, 61, 71)(73, 74, 78, 76)(75, 81, 97, 83)(77, 86, 107, 87)(79, 91, 114, 93)(80, 94, 118, 95)(82, 92, 109, 101)(84, 103, 126, 104)(85, 105, 122, 98)(88, 96, 113, 106)(89, 108, 129, 110)(90, 111, 133, 112)(99, 123, 132, 124)(100, 121, 136, 115)(102, 125, 130, 116)(117, 137, 127, 131)(119, 139, 142, 134)(120, 140, 143, 135)(128, 141, 144, 138)
	L = (1, 73)(2, 74)(3, 75)(4, 76)(5, 77)(6, 78)(7, 79)(8, 80)(9, 81)(10, 82)(11, 83)(12, 84)(13, 85)(14, 86)(15, 87)(16, 88)(17, 89)(18, 90)(19, 91)(20, 92)(21, 93)(22, 94)(23, 95)(24, 96)(25, 97)(26, 98)(27, 99)(28, 100)(29, 101)(30, 102)(31, 103)(32, 104)(33, 105)(34, 106)(35, 107)(36, 108)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 6^4 ), ( 6^6 ) }
Outer automorphisms :: reflexible
Dual of E10.673
Transitivity :: ET+
Graph:: simple bipartite
	v = 30 e = 72 f = 24
	degree seq :: [ 4^18, 6^12 ]

E10.670 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {3, 4, 6})
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, (F * T1)^2, (F * T2)^2, T2 * T1^2 * T2^-1 * T1^-2, T1^6, T1^-1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1, (T2^-1 * T1^-1)^4 ]
Map:: polytopal non-degenerate
	R = (1, 3, 5)(2, 7, 8)(4, 11, 13)(6, 17, 18)(9, 23, 24)(10, 25, 27)(12, 26, 29)(14, 31, 32)(15, 33, 34)(16, 35, 36)(19, 39, 40)(20, 41, 42)(21, 43, 44)(22, 45, 46)(28, 51, 52)(30, 53, 47)(37, 57, 58)(38, 59, 60)(48, 67, 55)(49, 68, 56)(50, 69, 54)(61, 70, 65)(62, 71, 66)(63, 72, 64)(73, 74, 78, 88, 84, 76)(75, 81, 89, 109, 98, 82)(77, 86, 90, 110, 101, 87)(79, 91, 107, 100, 83, 92)(80, 93, 108, 102, 85, 94)(95, 119, 129, 118, 97, 116)(96, 120, 130, 122, 99, 121)(103, 126, 131, 128, 105, 127)(104, 113, 132, 111, 106, 123)(112, 133, 124, 135, 114, 134)(115, 136, 125, 138, 117, 137)(139, 142, 141, 144, 140, 143)
	L = (1, 73)(2, 74)(3, 75)(4, 76)(5, 77)(6, 78)(7, 79)(8, 80)(9, 81)(10, 82)(11, 83)(12, 84)(13, 85)(14, 86)(15, 87)(16, 88)(17, 89)(18, 90)(19, 91)(20, 92)(21, 93)(22, 94)(23, 95)(24, 96)(25, 97)(26, 98)(27, 99)(28, 100)(29, 101)(30, 102)(31, 103)(32, 104)(33, 105)(34, 106)(35, 107)(36, 108)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 8^3 ), ( 8^6 ) }
Outer automorphisms :: reflexible
Dual of E10.671
Transitivity :: ET+
Graph:: simple bipartite
	v = 36 e = 72 f = 18
	degree seq :: [ 3^24, 6^12 ]

E10.671 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {3, 4, 6})
Quotient :: loop
Aut^+ = C3 x S4 (small group id <72, 42>)
Aut   = S3 x S4 (small group id <144, 183>)
|r| :: 2
Presentation :: [ F^2, T1^3, (F * T1)^2, (F * T2)^2, T2^4, T2 * T1 * T2 * T1 * T2^-1 * T1^-1 * T2^-1 * T1^-1, T2 * T1 * T2^-1 * T1 * T2 * T1^-1 * T2 * T1^-1, (T1^-1 * T2^-1)^6 ]
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, 46, 118, 69, 141, 55, 127)(28, 100, 58, 130, 71, 143, 53, 125)(29, 101, 47, 119, 70, 142, 59, 131)(30, 102, 54, 126, 72, 144, 60, 132)(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, 107)(21, 114)(22, 95)(23, 81)(24, 115)(25, 111)(26, 100)(27, 128)(28, 83)(29, 102)(30, 84)(31, 108)(32, 113)(33, 112)(34, 116)(35, 118)(36, 131)(37, 110)(38, 88)(39, 126)(40, 130)(41, 127)(42, 119)(43, 125)(44, 132)(45, 134)(46, 92)(47, 93)(48, 135)(49, 139)(50, 142)(51, 141)(52, 136)(53, 96)(54, 97)(55, 104)(56, 129)(57, 99)(58, 105)(59, 103)(60, 106)(61, 124)(62, 137)(63, 140)(64, 133)(65, 117)(66, 121)(67, 138)(68, 120)(69, 144)(70, 143)(71, 122)(72, 123)
	local type(s) :: { ( 3, 6, 3, 6, 3, 6, 3, 6 ) }
Outer automorphisms :: reflexible
Dual of E10.670
Transitivity :: ET+ VT+ AT
Graph:: simple
	v = 18 e = 72 f = 36
	degree seq :: [ 8^18 ]

E10.672 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {3, 4, 6})
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, T2^6, T2^2 * T1 * T2^-2 * T1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 73, 3, 75, 10, 82, 28, 100, 16, 88, 5, 77)(2, 74, 7, 79, 20, 92, 44, 116, 24, 96, 8, 80)(4, 76, 12, 84, 29, 101, 51, 123, 34, 106, 13, 85)(6, 78, 17, 89, 37, 109, 59, 131, 41, 113, 18, 90)(9, 81, 26, 98, 49, 121, 32, 104, 14, 86, 27, 99)(11, 83, 22, 94, 43, 115, 19, 91, 15, 87, 30, 102)(21, 93, 39, 111, 58, 130, 36, 108, 23, 95, 45, 117)(25, 97, 47, 119, 64, 136, 56, 128, 35, 107, 48, 120)(31, 103, 40, 112, 60, 132, 38, 110, 33, 105, 55, 127)(42, 114, 62, 134, 53, 125, 66, 138, 46, 118, 63, 135)(50, 122, 68, 140, 54, 126, 67, 139, 52, 124, 69, 141)(57, 129, 70, 142, 65, 137, 72, 144, 61, 133, 71, 143)
	L = (1, 74)(2, 78)(3, 81)(4, 73)(5, 86)(6, 76)(7, 91)(8, 94)(9, 97)(10, 92)(11, 75)(12, 103)(13, 105)(14, 107)(15, 77)(16, 96)(17, 108)(18, 111)(19, 114)(20, 109)(21, 79)(22, 118)(23, 80)(24, 113)(25, 83)(26, 85)(27, 123)(28, 121)(29, 82)(30, 125)(31, 126)(32, 84)(33, 122)(34, 88)(35, 87)(36, 129)(37, 101)(38, 89)(39, 133)(40, 90)(41, 106)(42, 93)(43, 100)(44, 102)(45, 137)(46, 95)(47, 139)(48, 140)(49, 136)(50, 98)(51, 132)(52, 99)(53, 130)(54, 104)(55, 131)(56, 141)(57, 110)(58, 116)(59, 117)(60, 124)(61, 112)(62, 119)(63, 120)(64, 115)(65, 127)(66, 128)(67, 142)(68, 143)(69, 144)(70, 134)(71, 135)(72, 138)
	local type(s) :: { ( 3, 4, 3, 4, 3, 4, 3, 4, 3, 4, 3, 4 ) }
Outer automorphisms :: reflexible
Dual of E10.668
Transitivity :: ET+ VT+ AT
Graph::
	v = 12 e = 72 f = 42
	degree seq :: [ 12^12 ]

E10.673 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {3, 4, 6})
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, (F * T1)^2, (F * T2)^2, T2 * T1^2 * T2^-1 * T1^-2, T1^6, T1^-1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1, (T2^-1 * T1^-1)^4 ]
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, 52, 124)(30, 102, 53, 125, 47, 119)(37, 109, 57, 129, 58, 130)(38, 110, 59, 131, 60, 132)(48, 120, 67, 139, 55, 127)(49, 121, 68, 140, 56, 128)(50, 122, 69, 141, 54, 126)(61, 133, 70, 142, 65, 137)(62, 134, 71, 143, 66, 138)(63, 135, 72, 144, 64, 136)
	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, 120)(25, 116)(26, 82)(27, 121)(28, 83)(29, 87)(30, 85)(31, 126)(32, 113)(33, 127)(34, 123)(35, 100)(36, 102)(37, 98)(38, 101)(39, 106)(40, 133)(41, 132)(42, 134)(43, 136)(44, 95)(45, 137)(46, 97)(47, 129)(48, 130)(49, 96)(50, 99)(51, 104)(52, 135)(53, 138)(54, 131)(55, 103)(56, 105)(57, 118)(58, 122)(59, 128)(60, 111)(61, 124)(62, 112)(63, 114)(64, 125)(65, 115)(66, 117)(67, 142)(68, 143)(69, 144)(70, 141)(71, 139)(72, 140)
	local type(s) :: { ( 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible
Dual of E10.669
Transitivity :: ET+ VT+ AT
Graph:: simple bipartite
	v = 24 e = 72 f = 30
	degree seq :: [ 6^24 ]

E10.674 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 4, 6})
Quotient :: dipole
Aut^+ = C3 x S4 (small group id <72, 42>)
Aut   = S3 x S4 (small group id <144, 183>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1^-1, Y1^3, (R * Y3)^2, (R * Y1)^2, Y2^4, (R * Y2 * Y3^-1)^2, Y2 * Y3 * Y2 * Y1 * Y2^-1 * Y3^-1 * Y2 * Y1^-1, Y2 * Y1 * Y2 * Y1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1, Y2 * Y1 * Y2^-1 * Y1 * Y2 * Y1^-1 * Y2 * Y1^-1, Y3 * Y2^-1 * Y1 * Y2 * Y3^-1 * Y2 * Y1^-1 * Y2^-1, Y2 * Y3 * Y2^-1 * Y1 * Y2^-1 * Y3^-1 * Y2^-1 * Y1^-1, Y3 * Y2 * Y1 * Y2 * Y3^-1 * Y2^-1 * Y1^-1 * Y2^-1, Y3 * Y2 * Y3 * Y2^-1 * Y3^-1 * Y2^-1 * Y3^-1 * Y2^-1, Y3 * Y2^-1 * Y3 * Y2 * Y3^-1 * Y2 * Y3^-1 * Y2^-1, Y2^-1 * Y3 * Y2^-1 * Y3^2 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 ]
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, 35, 107, 46, 118)(21, 93, 42, 114, 47, 119)(24, 96, 43, 115, 53, 125)(25, 97, 39, 111, 54, 126)(27, 99, 56, 128, 57, 129)(31, 103, 36, 108, 59, 131)(32, 104, 41, 113, 55, 127)(33, 105, 40, 112, 58, 130)(34, 106, 44, 116, 60, 132)(45, 117, 62, 134, 65, 137)(48, 120, 63, 135, 68, 140)(49, 121, 67, 139, 66, 138)(50, 122, 70, 142, 71, 143)(51, 123, 69, 141, 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, 190, 262, 213, 285, 199, 271)(172, 244, 202, 274, 215, 287, 197, 269)(173, 245, 191, 263, 214, 286, 203, 275)(174, 246, 198, 270, 216, 288, 204, 276)(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, 203)(32, 199)(33, 202)(34, 204)(35, 164)(36, 175)(37, 160)(38, 181)(39, 169)(40, 177)(41, 176)(42, 165)(43, 168)(44, 178)(45, 209)(46, 179)(47, 186)(48, 212)(49, 210)(50, 215)(51, 216)(52, 205)(53, 187)(54, 183)(55, 185)(56, 171)(57, 200)(58, 184)(59, 180)(60, 188)(61, 208)(62, 189)(63, 192)(64, 196)(65, 206)(66, 211)(67, 193)(68, 207)(69, 195)(70, 194)(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, 12, 2, 12, 2, 12 ), ( 2, 12, 2, 12, 2, 12, 2, 12 ) }
Outer automorphisms :: reflexible
Dual of E10.677
Graph:: bipartite
	v = 42 e = 144 f = 84
	degree seq :: [ 6^24, 8^18 ]

E10.675 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 4, 6})
Quotient :: dipole
Aut^+ = C3 x S4 (small group id <72, 42>)
Aut   = S3 x S4 (small group id <144, 183>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y2^-1, R * Y2 * R * Y3, (R * Y1)^2, Y1^4, (Y2^-1 * Y1)^3, Y2^6, (Y3^-1 * Y1^-1)^3, Y2^2 * Y1 * Y2^-2 * Y1^-1 ]
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, 42, 114, 21, 93)(8, 80, 22, 94, 46, 118, 23, 95)(10, 82, 20, 92, 37, 109, 29, 101)(12, 84, 31, 103, 54, 126, 32, 104)(13, 85, 33, 105, 50, 122, 26, 98)(16, 88, 24, 96, 41, 113, 34, 106)(17, 89, 36, 108, 57, 129, 38, 110)(18, 90, 39, 111, 61, 133, 40, 112)(27, 99, 51, 123, 60, 132, 52, 124)(28, 100, 49, 121, 64, 136, 43, 115)(30, 102, 53, 125, 58, 130, 44, 116)(45, 117, 65, 137, 55, 127, 59, 131)(47, 119, 67, 139, 70, 142, 62, 134)(48, 120, 68, 140, 71, 143, 63, 135)(56, 128, 69, 141, 72, 144, 66, 138)(145, 217, 147, 219, 154, 226, 172, 244, 160, 232, 149, 221)(146, 218, 151, 223, 164, 236, 188, 260, 168, 240, 152, 224)(148, 220, 156, 228, 173, 245, 195, 267, 178, 250, 157, 229)(150, 222, 161, 233, 181, 253, 203, 275, 185, 257, 162, 234)(153, 225, 170, 242, 193, 265, 176, 248, 158, 230, 171, 243)(155, 227, 166, 238, 187, 259, 163, 235, 159, 231, 174, 246)(165, 237, 183, 255, 202, 274, 180, 252, 167, 239, 189, 261)(169, 241, 191, 263, 208, 280, 200, 272, 179, 251, 192, 264)(175, 247, 184, 256, 204, 276, 182, 254, 177, 249, 199, 271)(186, 258, 206, 278, 197, 269, 210, 282, 190, 262, 207, 279)(194, 266, 212, 284, 198, 270, 211, 283, 196, 268, 213, 285)(201, 273, 214, 286, 209, 281, 216, 288, 205, 277, 215, 287)
	L = (1, 147)(2, 151)(3, 154)(4, 156)(5, 145)(6, 161)(7, 164)(8, 146)(9, 170)(10, 172)(11, 166)(12, 173)(13, 148)(14, 171)(15, 174)(16, 149)(17, 181)(18, 150)(19, 159)(20, 188)(21, 183)(22, 187)(23, 189)(24, 152)(25, 191)(26, 193)(27, 153)(28, 160)(29, 195)(30, 155)(31, 184)(32, 158)(33, 199)(34, 157)(35, 192)(36, 167)(37, 203)(38, 177)(39, 202)(40, 204)(41, 162)(42, 206)(43, 163)(44, 168)(45, 165)(46, 207)(47, 208)(48, 169)(49, 176)(50, 212)(51, 178)(52, 213)(53, 210)(54, 211)(55, 175)(56, 179)(57, 214)(58, 180)(59, 185)(60, 182)(61, 215)(62, 197)(63, 186)(64, 200)(65, 216)(66, 190)(67, 196)(68, 198)(69, 194)(70, 209)(71, 201)(72, 205)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 2, 6, 2, 6, 2, 6, 2, 6 ), ( 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6 ) }
Outer automorphisms :: reflexible
Dual of E10.676
Graph:: bipartite
	v = 30 e = 144 f = 96
	degree seq :: [ 8^18, 12^12 ]

E10.676 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 4, 6})
Quotient :: dipole
Aut^+ = C3 x S4 (small group id <72, 42>)
Aut   = S3 x S4 (small group id <144, 183>)
|r| :: 2
Presentation :: [ Y1, R^2, Y2^3, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y3 * Y2^-1 * Y3^-2 * Y2 * Y3, Y3^-1 * Y2^-1 * Y3^-1 * Y2^-1 * Y3^-1 * Y2^-1 * Y3 * Y2^-1, (Y3 * Y2^-1)^4, (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, 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, 188, 260)(167, 239, 189, 261, 190, 262)(168, 240, 187, 259, 191, 263)(170, 242, 193, 265, 184, 256)(171, 243, 194, 266, 179, 251)(177, 249, 197, 269, 199, 271)(178, 250, 200, 272, 180, 252)(181, 253, 201, 273, 202, 274)(182, 254, 203, 275, 198, 270)(183, 255, 204, 276, 195, 267)(185, 257, 205, 277, 196, 268)(192, 264, 210, 282, 208, 280)(206, 278, 214, 286, 213, 285)(207, 279, 215, 287, 211, 283)(209, 281, 216, 288, 212, 284)
	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, 192)(26, 191)(27, 154)(28, 195)(29, 197)(30, 196)(31, 186)(32, 156)(33, 157)(34, 158)(35, 201)(36, 160)(37, 165)(38, 202)(39, 162)(40, 163)(41, 164)(42, 173)(43, 177)(44, 206)(45, 175)(46, 207)(47, 178)(48, 176)(49, 211)(50, 212)(51, 210)(52, 172)(53, 208)(54, 174)(55, 209)(56, 213)(57, 184)(58, 185)(59, 214)(60, 215)(61, 216)(62, 199)(63, 188)(64, 189)(65, 190)(66, 198)(67, 200)(68, 193)(69, 194)(70, 205)(71, 203)(72, 204)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 8, 12 ), ( 8, 12, 8, 12, 8, 12 ) }
Outer automorphisms :: reflexible
Dual of E10.675
Graph:: simple bipartite
	v = 96 e = 144 f = 30
	degree seq :: [ 2^72, 6^24 ]

E10.677 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 4, 6})
Quotient :: dipole
Aut^+ = C3 x S4 (small group id <72, 42>)
Aut   = S3 x S4 (small group id <144, 183>)
|r| :: 2
Presentation :: [ Y2, R^2, Y3^3, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, (Y3 * Y2^-1)^3, Y1^-1 * Y3^-1 * Y1^2 * Y3 * Y1^-1, Y1^6, Y3 * Y1^-1 * Y3 * Y1 * Y3 * Y1^-1 * Y3 * Y1^-1, (Y3^-1 * Y1^-1)^4 ]
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, 46, 118, 25, 97, 44, 116)(24, 96, 48, 120, 58, 130, 50, 122, 27, 99, 49, 121)(31, 103, 54, 126, 59, 131, 56, 128, 33, 105, 55, 127)(32, 104, 41, 113, 60, 132, 39, 111, 34, 106, 51, 123)(40, 112, 61, 133, 52, 124, 63, 135, 42, 114, 62, 134)(43, 115, 64, 136, 53, 125, 66, 138, 45, 117, 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, 197)(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, 174)(48, 211)(49, 212)(50, 213)(51, 196)(52, 172)(53, 191)(54, 194)(55, 192)(56, 193)(57, 202)(58, 181)(59, 204)(60, 182)(61, 214)(62, 215)(63, 216)(64, 207)(65, 205)(66, 206)(67, 199)(68, 200)(69, 198)(70, 209)(71, 210)(72, 208)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 6, 8 ), ( 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8 ) }
Outer automorphisms :: reflexible
Dual of E10.674
Graph:: simple bipartite
	v = 84 e = 144 f = 42
	degree seq :: [ 2^72, 12^12 ]

E10.678 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 4, 6})
Quotient :: dipole
Aut^+ = C3 x S4 (small group id <72, 42>)
Aut   = S3 x S4 (small group id <144, 183>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1^-1, Y1^2 * Y3^-1, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, Y3 * Y2^2 * Y3^-1 * Y2^-2, Y2^6, Y2^-1 * Y1 * Y2^2 * Y1^-1 * Y2^-1, Y2^-1 * Y3 * Y2 * Y3 * Y2 * Y1^-1 * Y2 * Y1^-1, (Y3 * Y2^-1)^4 ]
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, 44, 116)(23, 95, 45, 117, 46, 118)(24, 96, 43, 115, 47, 119)(26, 98, 49, 121, 36, 108)(27, 99, 50, 122, 40, 112)(33, 105, 53, 125, 55, 127)(34, 106, 56, 128, 35, 107)(37, 109, 57, 129, 58, 130)(38, 110, 59, 131, 52, 124)(39, 111, 60, 132, 54, 126)(41, 113, 61, 133, 51, 123)(48, 120, 66, 138, 62, 134)(63, 135, 70, 142, 68, 140)(64, 136, 71, 143, 69, 141)(65, 137, 72, 144, 67, 139)(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, 192, 264, 176, 248, 156, 228)(152, 224, 166, 238, 187, 259, 177, 249, 157, 229, 167, 239)(154, 226, 170, 242, 191, 263, 178, 250, 158, 230, 171, 243)(160, 232, 179, 251, 201, 273, 184, 256, 163, 235, 180, 252)(162, 234, 182, 254, 202, 274, 185, 257, 164, 236, 183, 255)(172, 244, 195, 267, 210, 282, 198, 270, 174, 246, 196, 268)(173, 245, 189, 261, 206, 278, 186, 258, 175, 247, 197, 269)(188, 260, 207, 279, 199, 271, 209, 281, 190, 262, 208, 280)(193, 265, 211, 283, 200, 272, 213, 285, 194, 266, 212, 284)(203, 275, 214, 286, 205, 277, 216, 288, 204, 276, 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, 188)(23, 190)(24, 191)(25, 161)(26, 180)(27, 184)(28, 155)(29, 172)(30, 156)(31, 174)(32, 165)(33, 199)(34, 179)(35, 200)(36, 193)(37, 202)(38, 196)(39, 198)(40, 194)(41, 195)(42, 166)(43, 168)(44, 186)(45, 167)(46, 189)(47, 187)(48, 206)(49, 170)(50, 171)(51, 205)(52, 203)(53, 177)(54, 204)(55, 197)(56, 178)(57, 181)(58, 201)(59, 182)(60, 183)(61, 185)(62, 210)(63, 212)(64, 213)(65, 211)(66, 192)(67, 216)(68, 214)(69, 215)(70, 207)(71, 208)(72, 209)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 2, 8, 2, 8, 2, 8 ), ( 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8 ) }
Outer automorphisms :: reflexible
Dual of E10.679
Graph:: bipartite
	v = 36 e = 144 f = 90
	degree seq :: [ 6^24, 12^12 ]

E10.679 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 4, 6})
Quotient :: dipole
Aut^+ = C3 x S4 (small group id <72, 42>)
Aut   = S3 x S4 (small group id <144, 183>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y3)^2, (R * Y1)^2, Y1^4, (R * Y2 * Y3^-1)^2, (Y3^-1 * Y1)^3, Y1^-1 * Y3^2 * Y1 * Y3^-2, (Y3^-1 * Y1^-1)^3, (Y3 * Y2^-1)^6 ]
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, 42, 114, 21, 93)(8, 80, 22, 94, 46, 118, 23, 95)(10, 82, 20, 92, 37, 109, 29, 101)(12, 84, 31, 103, 54, 126, 32, 104)(13, 85, 33, 105, 50, 122, 26, 98)(16, 88, 24, 96, 41, 113, 34, 106)(17, 89, 36, 108, 57, 129, 38, 110)(18, 90, 39, 111, 61, 133, 40, 112)(27, 99, 51, 123, 60, 132, 52, 124)(28, 100, 49, 121, 64, 136, 43, 115)(30, 102, 53, 125, 58, 130, 44, 116)(45, 117, 65, 137, 55, 127, 59, 131)(47, 119, 67, 139, 70, 142, 62, 134)(48, 120, 68, 140, 71, 143, 63, 135)(56, 128, 69, 141, 72, 144, 66, 138)(145, 217)(146, 218)(147, 219)(148, 220)(149, 221)(150, 222)(151, 223)(152, 224)(153, 225)(154, 226)(155, 227)(156, 228)(157, 229)(158, 230)(159, 231)(160, 232)(161, 233)(162, 234)(163, 235)(164, 236)(165, 237)(166, 238)(167, 239)(168, 240)(169, 241)(170, 242)(171, 243)(172, 244)(173, 245)(174, 246)(175, 247)(176, 248)(177, 249)(178, 250)(179, 251)(180, 252)(181, 253)(182, 254)(183, 255)(184, 256)(185, 257)(186, 258)(187, 259)(188, 260)(189, 261)(190, 262)(191, 263)(192, 264)(193, 265)(194, 266)(195, 267)(196, 268)(197, 269)(198, 270)(199, 271)(200, 272)(201, 273)(202, 274)(203, 275)(204, 276)(205, 277)(206, 278)(207, 279)(208, 280)(209, 281)(210, 282)(211, 283)(212, 284)(213, 285)(214, 286)(215, 287)(216, 288)
	L = (1, 147)(2, 151)(3, 154)(4, 156)(5, 145)(6, 161)(7, 164)(8, 146)(9, 170)(10, 172)(11, 166)(12, 173)(13, 148)(14, 171)(15, 174)(16, 149)(17, 181)(18, 150)(19, 159)(20, 188)(21, 183)(22, 187)(23, 189)(24, 152)(25, 191)(26, 193)(27, 153)(28, 160)(29, 195)(30, 155)(31, 184)(32, 158)(33, 199)(34, 157)(35, 192)(36, 167)(37, 203)(38, 177)(39, 202)(40, 204)(41, 162)(42, 206)(43, 163)(44, 168)(45, 165)(46, 207)(47, 208)(48, 169)(49, 176)(50, 212)(51, 178)(52, 213)(53, 210)(54, 211)(55, 175)(56, 179)(57, 214)(58, 180)(59, 185)(60, 182)(61, 215)(62, 197)(63, 186)(64, 200)(65, 216)(66, 190)(67, 196)(68, 198)(69, 194)(70, 209)(71, 201)(72, 205)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 6, 12 ), ( 6, 12, 6, 12, 6, 12, 6, 12 ) }
Outer automorphisms :: reflexible
Dual of E10.678
Graph:: simple bipartite
	v = 90 e = 144 f = 36
	degree seq :: [ 2^72, 8^18 ]

E10.680 :: Family: { 2Pex } :: Oriented family(ies): { E1a }
Signature :: (0; {2, 8, 8})
Quotient :: halfedge
Aut^+ = (C3 x C3) : C8 (small group id <72, 39>)
Aut   = (C3 x C3) : C8 (small group id <72, 39>)
|r| :: 1
Presentation :: [ X2^2, X1^8, X1 * X2 * X1^2 * X2 * X1^-1 * X2 * X1^2, X1 * X2 * X1^-2 * X2 * X1^-3 * X2, X1 * X2 * X1 * X2 * X1^-1 * X2 * X1^-2 * X2 * X1, (X1^-1 * X2)^8 ]
Map:: polytopal non-degenerate
	R = (1, 2, 5, 11, 23, 22, 10, 4)(3, 7, 15, 31, 55, 38, 18, 8)(6, 13, 27, 50, 70, 54, 30, 14)(9, 19, 39, 37, 53, 29, 42, 20)(12, 25, 40, 62, 60, 69, 49, 26)(16, 33, 56, 72, 68, 47, 24, 34)(17, 35, 44, 21, 43, 58, 61, 36)(28, 51, 71, 65, 57, 67, 46, 52)(32, 48, 59, 64, 41, 63, 66, 45)
	L = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 17)(10, 21)(11, 24)(13, 28)(14, 29)(15, 32)(18, 37)(19, 40)(20, 41)(22, 45)(23, 46)(25, 48)(26, 38)(27, 43)(30, 31)(33, 57)(34, 58)(35, 59)(36, 60)(39, 52)(42, 61)(44, 65)(47, 54)(49, 50)(51, 63)(53, 56)(55, 71)(62, 68)(64, 70)(66, 72)(67, 69)
	local type(s) :: { ( 8^8 ) }
Outer automorphisms :: chiral positively-selfdual
Transitivity :: ET+ VT+ AT+ REG+
Graph:: simple
	v = 9 e = 36 f = 9
	degree seq :: [ 8^9 ]

E10.681 :: Family: { 5 } :: Oriented family(ies): { E3a }
Signature :: (0; {2, 8, 8})
Quotient :: edge
Aut^+ = (C3 x C3) : C8 (small group id <72, 39>)
Aut   = (C3 x C3) : C8 (small group id <72, 39>)
|r| :: 1
Presentation :: [ X1^2, X2^8, X2 * X1 * X2^2 * X1 * X2^-1 * X1 * X2^2, X1 * X2 * X1 * X2^-1 * X1 * X2^-2 * X1 * X2^2, (X2^-1 * X1)^8 ]
Map:: polytopal
	R = (1, 2)(3, 7)(4, 9)(5, 11)(6, 13)(8, 17)(10, 21)(12, 25)(14, 29)(15, 31)(16, 33)(18, 37)(19, 39)(20, 41)(22, 45)(23, 46)(24, 48)(26, 34)(27, 51)(28, 52)(30, 36)(32, 43)(35, 49)(38, 61)(40, 56)(42, 53)(44, 65)(47, 54)(50, 69)(55, 63)(57, 59)(58, 60)(62, 72)(64, 71)(66, 68)(67, 70)(73, 75, 80, 90, 110, 94, 82, 76)(74, 77, 84, 98, 122, 102, 86, 78)(79, 87, 104, 129, 143, 130, 106, 88)(81, 91, 112, 101, 126, 105, 114, 92)(83, 95, 119, 140, 144, 132, 109, 96)(85, 99, 116, 93, 115, 120, 125, 100)(89, 107, 111, 134, 124, 142, 131, 108)(97, 121, 123, 136, 113, 135, 138, 117)(103, 127, 141, 137, 118, 139, 133, 128)
	L = (1, 73)(2, 74)(3, 75)(4, 76)(5, 77)(6, 78)(7, 79)(8, 80)(9, 81)(10, 82)(11, 83)(12, 84)(13, 85)(14, 86)(15, 87)(16, 88)(17, 89)(18, 90)(19, 91)(20, 92)(21, 93)(22, 94)(23, 95)(24, 96)(25, 97)(26, 98)(27, 99)(28, 100)(29, 101)(30, 102)(31, 103)(32, 104)(33, 105)(34, 106)(35, 107)(36, 108)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 16, 16 ), ( 16^8 ) }
Outer automorphisms :: chiral
Dual of E10.682
Transitivity :: ET+
Graph:: simple bipartite
	v = 45 e = 72 f = 9
	degree seq :: [ 2^36, 8^9 ]

E10.682 :: Family: { 5* } :: Oriented family(ies): { E3*a }
Signature :: (0; {2, 8, 8})
Quotient :: loop
Aut^+ = (C3 x C3) : C8 (small group id <72, 39>)
Aut   = (C3 x C3) : C8 (small group id <72, 39>)
|r| :: 1
Presentation :: [ (X1^-1 * X2^-1)^2, X1^-1 * X2^-1 * X1 * X2^-2 * X1^-1 * X2 * X1^-1, X1^-1 * X2^-1 * X1^2 * X2^-1 * X1 * X2^-1 * X1^-1, X2^2 * X1 * X2^-1 * X1^-1 * X2^2 * X1^-1, X2^8, X1^8 ]
Map::
	R = (1, 73, 2, 74, 6, 78, 16, 88, 40, 112, 34, 106, 13, 85, 4, 76)(3, 75, 9, 81, 23, 95, 50, 122, 69, 141, 43, 115, 29, 101, 11, 83)(5, 77, 14, 86, 35, 107, 61, 133, 67, 139, 51, 123, 20, 92, 7, 79)(8, 80, 21, 93, 52, 124, 26, 98, 58, 130, 70, 142, 44, 116, 17, 89)(10, 82, 25, 97, 56, 128, 33, 105, 62, 134, 37, 109, 46, 118, 27, 99)(12, 84, 30, 102, 54, 126, 28, 100, 49, 121, 19, 91, 47, 119, 32, 104)(15, 87, 38, 110, 63, 135, 72, 144, 57, 129, 65, 137, 42, 114, 36, 108)(18, 90, 45, 117, 24, 96, 48, 120, 71, 143, 59, 131, 68, 140, 41, 113)(22, 94, 55, 127, 31, 103, 60, 132, 39, 111, 64, 136, 66, 138, 53, 125)
	L = (1, 75)(2, 79)(3, 82)(4, 84)(5, 73)(6, 89)(7, 91)(8, 74)(9, 76)(10, 98)(11, 100)(12, 103)(13, 105)(14, 108)(15, 77)(16, 113)(17, 115)(18, 78)(19, 120)(20, 122)(21, 125)(22, 80)(23, 117)(24, 81)(25, 83)(26, 131)(27, 119)(28, 114)(29, 116)(30, 85)(31, 133)(32, 118)(33, 135)(34, 136)(35, 134)(36, 126)(37, 86)(38, 132)(39, 87)(40, 137)(41, 139)(42, 88)(43, 110)(44, 107)(45, 109)(46, 90)(47, 92)(48, 144)(49, 101)(50, 138)(51, 140)(52, 102)(53, 95)(54, 93)(55, 97)(56, 94)(57, 96)(58, 99)(59, 111)(60, 104)(61, 142)(62, 106)(63, 141)(64, 143)(65, 130)(66, 112)(67, 127)(68, 124)(69, 123)(70, 129)(71, 121)(72, 128)
	local type(s) :: { ( 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8 ) }
Outer automorphisms :: chiral
Dual of E10.681
Transitivity :: ET+ VT+
Graph::
	v = 9 e = 72 f = 45
	degree seq :: [ 16^9 ]

E10.683 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {3, 3, 12})
Quotient :: edge
Aut^+ = C3 x SL(2,3) (small group id <72, 25>)
Aut   = (C3 x SL(2,3)) : C2 (small group id <144, 125>)
|r| :: 2
Presentation :: [ F^2, T1^3, (F * T2)^2, (F * T1)^2, (T2^-1 * T1^-1)^3, T2^-1 * T1^-1 * T2^2 * T1 * T2^-1, T2^3 * T1 * T2 * T1 * T2^-1 * T1, T2^12 ]
Map:: polytopal non-degenerate
	R = (1, 3, 9, 24, 43, 65, 72, 60, 55, 33, 15, 5)(2, 6, 17, 35, 56, 47, 68, 70, 63, 39, 21, 7)(4, 11, 25, 45, 66, 58, 71, 52, 64, 41, 31, 12)(8, 22, 40, 29, 50, 59, 61, 57, 54, 32, 13, 23)(10, 26, 44, 67, 69, 62, 38, 19, 34, 16, 14, 27)(18, 36, 48, 53, 46, 42, 51, 30, 49, 28, 20, 37)(73, 74, 76)(75, 80, 82)(77, 85, 86)(78, 88, 90)(79, 91, 92)(81, 89, 97)(83, 100, 101)(84, 102, 94)(87, 93, 103)(95, 113, 114)(96, 112, 116)(98, 118, 119)(99, 120, 107)(104, 124, 125)(105, 126, 106)(108, 129, 130)(109, 131, 117)(110, 132, 133)(111, 134, 121)(115, 128, 138)(122, 141, 137)(123, 142, 139)(127, 135, 136)(140, 143, 144)
	L = (1, 73)(2, 74)(3, 75)(4, 76)(5, 77)(6, 78)(7, 79)(8, 80)(9, 81)(10, 82)(11, 83)(12, 84)(13, 85)(14, 86)(15, 87)(16, 88)(17, 89)(18, 90)(19, 91)(20, 92)(21, 93)(22, 94)(23, 95)(24, 96)(25, 97)(26, 98)(27, 99)(28, 100)(29, 101)(30, 102)(31, 103)(32, 104)(33, 105)(34, 106)(35, 107)(36, 108)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 6^3 ), ( 6^12 ) }
Outer automorphisms :: reflexible
Dual of E10.684
Transitivity :: ET+
Graph:: simple bipartite
	v = 30 e = 72 f = 24
	degree seq :: [ 3^24, 12^6 ]

E10.684 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {3, 3, 12})
Quotient :: loop
Aut^+ = C3 x SL(2,3) (small group id <72, 25>)
Aut   = (C3 x SL(2,3)) : C2 (small group id <144, 125>)
|r| :: 2
Presentation :: [ F^2, T1^3, T2^3, (F * T1)^2, (F * T2)^2, T1^-1 * T2^-1 * T1 * T2 * T1 * T2 * T1^-1 * T2^-1, T2 * T1 * T2 * T1 * T2^-1 * T1^-1 * T2^-1 * T1^-1, (T2 * T1^-1)^6, (T1^-1 * T2^-1)^12 ]
Map:: polytopal non-degenerate
	R = (1, 73, 3, 75, 5, 77)(2, 74, 6, 78, 7, 79)(4, 76, 10, 82, 11, 83)(8, 80, 18, 90, 19, 91)(9, 81, 20, 92, 21, 93)(12, 84, 26, 98, 27, 99)(13, 85, 28, 100, 29, 101)(14, 86, 30, 102, 31, 103)(15, 87, 32, 104, 33, 105)(16, 88, 34, 106, 35, 107)(17, 89, 36, 108, 37, 109)(22, 94, 38, 110, 45, 117)(23, 95, 46, 118, 47, 119)(24, 96, 40, 112, 48, 120)(25, 97, 44, 116, 49, 121)(39, 111, 60, 132, 61, 133)(41, 113, 50, 122, 62, 134)(42, 114, 63, 135, 64, 136)(43, 115, 52, 124, 65, 137)(51, 123, 55, 127, 68, 140)(53, 125, 58, 130, 69, 141)(54, 126, 56, 128, 70, 142)(57, 129, 66, 138, 71, 143)(59, 131, 67, 139, 72, 144)
	L = (1, 74)(2, 76)(3, 80)(4, 73)(5, 84)(6, 86)(7, 88)(8, 81)(9, 75)(10, 94)(11, 96)(12, 85)(13, 77)(14, 87)(15, 78)(16, 89)(17, 79)(18, 102)(19, 111)(20, 113)(21, 115)(22, 95)(23, 82)(24, 97)(25, 83)(26, 103)(27, 123)(28, 105)(29, 109)(30, 110)(31, 122)(32, 126)(33, 125)(34, 117)(35, 129)(36, 119)(37, 121)(38, 90)(39, 112)(40, 91)(41, 114)(42, 92)(43, 116)(44, 93)(45, 128)(46, 133)(47, 131)(48, 136)(49, 101)(50, 98)(51, 124)(52, 99)(53, 100)(54, 127)(55, 104)(56, 106)(57, 130)(58, 107)(59, 108)(60, 134)(61, 138)(62, 142)(63, 140)(64, 139)(65, 141)(66, 118)(67, 120)(68, 143)(69, 144)(70, 132)(71, 135)(72, 137)
	local type(s) :: { ( 3, 12, 3, 12, 3, 12 ) }
Outer automorphisms :: reflexible
Dual of E10.683
Transitivity :: ET+ VT+ AT
Graph:: simple
	v = 24 e = 72 f = 30
	degree seq :: [ 6^24 ]

E10.685 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 3, 12})
Quotient :: dipole
Aut^+ = C3 x SL(2,3) (small group id <72, 25>)
Aut   = (C3 x SL(2,3)) : C2 (small group id <144, 125>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, Y1^3, (R * Y1)^2, (R * Y3)^2, (Y2 * Y1)^3, Y1^-1 * Y2^2 * Y1 * Y2^-2, (Y3^-1 * Y1^-1)^3, Y2^3 * Y1 * Y2 * Y1 * Y2^-1 * Y1, Y2^12 ]
Map::
	R = (1, 73, 2, 74, 4, 76)(3, 75, 8, 80, 10, 82)(5, 77, 13, 85, 14, 86)(6, 78, 16, 88, 18, 90)(7, 79, 19, 91, 20, 92)(9, 81, 17, 89, 25, 97)(11, 83, 28, 100, 29, 101)(12, 84, 30, 102, 22, 94)(15, 87, 21, 93, 31, 103)(23, 95, 41, 113, 42, 114)(24, 96, 40, 112, 44, 116)(26, 98, 46, 118, 47, 119)(27, 99, 48, 120, 35, 107)(32, 104, 52, 124, 53, 125)(33, 105, 54, 126, 34, 106)(36, 108, 57, 129, 58, 130)(37, 109, 59, 131, 45, 117)(38, 110, 60, 132, 61, 133)(39, 111, 62, 134, 49, 121)(43, 115, 56, 128, 66, 138)(50, 122, 69, 141, 65, 137)(51, 123, 70, 142, 67, 139)(55, 127, 63, 135, 64, 136)(68, 140, 71, 143, 72, 144)(145, 217, 147, 219, 153, 225, 168, 240, 187, 259, 209, 281, 216, 288, 204, 276, 199, 271, 177, 249, 159, 231, 149, 221)(146, 218, 150, 222, 161, 233, 179, 251, 200, 272, 191, 263, 212, 284, 214, 286, 207, 279, 183, 255, 165, 237, 151, 223)(148, 220, 155, 227, 169, 241, 189, 261, 210, 282, 202, 274, 215, 287, 196, 268, 208, 280, 185, 257, 175, 247, 156, 228)(152, 224, 166, 238, 184, 256, 173, 245, 194, 266, 203, 275, 205, 277, 201, 273, 198, 270, 176, 248, 157, 229, 167, 239)(154, 226, 170, 242, 188, 260, 211, 283, 213, 285, 206, 278, 182, 254, 163, 235, 178, 250, 160, 232, 158, 230, 171, 243)(162, 234, 180, 252, 192, 264, 197, 269, 190, 262, 186, 258, 195, 267, 174, 246, 193, 265, 172, 244, 164, 236, 181, 253)
	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, 158)(17, 179)(18, 180)(19, 178)(20, 181)(21, 151)(22, 184)(23, 152)(24, 187)(25, 189)(26, 188)(27, 154)(28, 164)(29, 194)(30, 193)(31, 156)(32, 157)(33, 159)(34, 160)(35, 200)(36, 192)(37, 162)(38, 163)(39, 165)(40, 173)(41, 175)(42, 195)(43, 209)(44, 211)(45, 210)(46, 186)(47, 212)(48, 197)(49, 172)(50, 203)(51, 174)(52, 208)(53, 190)(54, 176)(55, 177)(56, 191)(57, 198)(58, 215)(59, 205)(60, 199)(61, 201)(62, 182)(63, 183)(64, 185)(65, 216)(66, 202)(67, 213)(68, 214)(69, 206)(70, 207)(71, 196)(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 ) }
Outer automorphisms :: reflexible
Dual of E10.686
Graph:: bipartite
	v = 30 e = 144 f = 96
	degree seq :: [ 6^24, 24^6 ]

E10.686 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 3, 12})
Quotient :: dipole
Aut^+ = C3 x SL(2,3) (small group id <72, 25>)
Aut   = (C3 x SL(2,3)) : C2 (small group id <144, 125>)
|r| :: 2
Presentation :: [ Y1, R^2, Y2^3, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, (Y3 * Y2^-1)^3, Y3^-1 * Y2^-1 * Y3^2 * Y2 * Y3^-1, (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, 161, 233, 169, 241)(155, 227, 171, 243, 172, 244)(156, 228, 173, 245, 174, 246)(159, 231, 165, 237, 175, 247)(166, 238, 184, 256, 186, 258)(167, 239, 187, 259, 188, 260)(168, 240, 185, 257, 179, 251)(170, 242, 190, 262, 183, 255)(176, 248, 196, 268, 197, 269)(177, 249, 193, 265, 198, 270)(178, 250, 200, 272, 202, 274)(180, 252, 201, 273, 192, 264)(181, 253, 204, 276, 195, 267)(182, 254, 205, 277, 206, 278)(189, 261, 203, 275, 209, 281)(191, 263, 210, 282, 211, 283)(194, 266, 212, 284, 213, 285)(199, 271, 207, 279, 214, 286)(208, 280, 216, 288, 215, 287)
	L = (1, 147)(2, 150)(3, 153)(4, 155)(5, 145)(6, 161)(7, 146)(8, 166)(9, 168)(10, 163)(11, 169)(12, 148)(13, 167)(14, 170)(15, 149)(16, 178)(17, 180)(18, 173)(19, 179)(20, 181)(21, 151)(22, 185)(23, 152)(24, 189)(25, 187)(26, 154)(27, 191)(28, 157)(29, 192)(30, 193)(31, 156)(32, 158)(33, 159)(34, 201)(35, 160)(36, 203)(37, 162)(38, 164)(39, 165)(40, 208)(41, 205)(42, 190)(43, 209)(44, 196)(45, 200)(46, 182)(47, 188)(48, 171)(49, 172)(50, 174)(51, 175)(52, 186)(53, 207)(54, 176)(55, 177)(56, 216)(57, 212)(58, 204)(59, 210)(60, 194)(61, 202)(62, 214)(63, 183)(64, 206)(65, 184)(66, 215)(67, 198)(68, 211)(69, 199)(70, 195)(71, 197)(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) :: { ( 6, 24 ), ( 6, 24, 6, 24, 6, 24 ) }
Outer automorphisms :: reflexible
Dual of E10.685
Graph:: simple bipartite
	v = 96 e = 144 f = 30
	degree seq :: [ 2^72, 6^24 ]

E10.687 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 6, 12})
Quotient :: regular
Aut^+ = C3 x D24 (small group id <72, 28>)
Aut   = D24 x S3 (small group id <144, 144>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, (T1^-2 * T2 * T1^-1)^2, T2 * T1 * T2 * T1 * T2 * T1^-1 * T2 * T1^-1, T1^12 ]
Map:: polytopal non-degenerate
	R = (1, 2, 5, 11, 23, 39, 53, 52, 38, 22, 10, 4)(3, 7, 15, 31, 47, 59, 64, 57, 41, 24, 18, 8)(6, 13, 27, 21, 37, 51, 63, 67, 55, 40, 30, 14)(9, 19, 36, 50, 62, 65, 54, 44, 26, 12, 25, 20)(16, 28, 42, 35, 46, 58, 68, 72, 70, 60, 49, 33)(17, 29, 43, 56, 66, 71, 69, 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, 64)(55, 66)(57, 68)(59, 69)(62, 70)(65, 71)(67, 72)
	local type(s) :: { ( 6^12 ) }
Outer automorphisms :: reflexible
Dual of E10.690
Transitivity :: ET+ VT+ AT+ REG+
Graph:: bipartite
	v = 6 e = 36 f = 12
	degree seq :: [ 12^6 ]

E10.688 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 6, 12})
Quotient :: regular
Aut^+ = (C6 x S3) : C2 (small group id <72, 23>)
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^-1)^2, (T1 * T2)^6, T1^12 ]
Map:: polytopal non-degenerate
	R = (1, 2, 5, 11, 20, 32, 47, 46, 31, 19, 10, 4)(3, 7, 15, 25, 39, 55, 60, 49, 33, 22, 12, 8)(6, 13, 9, 18, 29, 44, 58, 61, 48, 34, 21, 14)(16, 26, 17, 28, 35, 51, 62, 69, 65, 56, 40, 27)(23, 36, 24, 38, 50, 63, 68, 67, 59, 45, 30, 37)(41, 53, 42, 57, 66, 71, 72, 70, 64, 54, 43, 52)
	L = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 17)(10, 15)(11, 21)(13, 23)(14, 24)(18, 30)(19, 29)(20, 33)(22, 35)(25, 40)(26, 41)(27, 42)(28, 43)(31, 39)(32, 48)(34, 50)(36, 52)(37, 53)(38, 54)(44, 59)(45, 57)(46, 58)(47, 60)(49, 62)(51, 64)(55, 65)(56, 66)(61, 68)(63, 70)(67, 71)(69, 72)
	local type(s) :: { ( 6^12 ) }
Outer automorphisms :: reflexible
Dual of E10.691
Transitivity :: ET+ VT+ AT+ REG+
Graph:: bipartite
	v = 6 e = 36 f = 12
	degree seq :: [ 12^6 ]

E10.689 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 6, 12})
Quotient :: regular
Aut^+ = C3 x ((C6 x C2) : C2) (small group id <72, 30>)
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 * T1^2 * T2 * T1^-1, T1^12, (T1^-1 * T2)^6 ]
Map:: polytopal non-degenerate
	R = (1, 2, 5, 11, 20, 32, 47, 46, 31, 19, 10, 4)(3, 7, 12, 22, 33, 49, 62, 59, 43, 28, 17, 8)(6, 13, 21, 34, 48, 63, 61, 45, 30, 18, 9, 14)(15, 25, 35, 51, 64, 72, 70, 58, 42, 27, 16, 26)(23, 36, 50, 65, 71, 69, 60, 44, 29, 38, 24, 37)(39, 55, 66, 54, 68, 53, 67, 52, 41, 57, 40, 56)
	L = (1, 3)(2, 6)(4, 9)(5, 12)(7, 15)(8, 16)(10, 17)(11, 21)(13, 23)(14, 24)(18, 29)(19, 30)(20, 33)(22, 35)(25, 39)(26, 40)(27, 41)(28, 42)(31, 43)(32, 48)(34, 50)(36, 52)(37, 53)(38, 54)(44, 55)(45, 60)(46, 61)(47, 62)(49, 64)(51, 66)(56, 69)(57, 65)(58, 67)(59, 70)(63, 71)(68, 72)
	local type(s) :: { ( 6^12 ) }
Outer automorphisms :: reflexible
Dual of E10.692
Transitivity :: ET+ VT+ AT+ REG+
Graph:: bipartite
	v = 6 e = 36 f = 12
	degree seq :: [ 12^6 ]

E10.690 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 6, 12})
Quotient :: regular
Aut^+ = C3 x D24 (small group id <72, 28>)
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, T1^6, (T1^-1 * T2)^12 ]
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, 70, 69, 72, 68, 71)
	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)
	local type(s) :: { ( 12^6 ) }
Outer automorphisms :: reflexible
Dual of E10.687
Transitivity :: ET+ VT+ AT+ REG+
Graph:: bipartite
	v = 12 e = 36 f = 6
	degree seq :: [ 6^12 ]

E10.691 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 6, 12})
Quotient :: regular
Aut^+ = (C6 x S3) : C2 (small group id <72, 23>)
Aut   = D24 x S3 (small group id <144, 144>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, (T1 * T2 * T1)^2, T1^6, 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 ]
Map:: polytopal non-degenerate
	R = (1, 2, 5, 11, 10, 4)(3, 7, 15, 20, 12, 8)(6, 13, 9, 18, 19, 14)(16, 23, 17, 25, 27, 24)(21, 28, 22, 30, 26, 29)(31, 37, 32, 39, 33, 38)(34, 40, 35, 42, 36, 41)(43, 49, 44, 51, 45, 50)(46, 52, 47, 54, 48, 53)(55, 61, 56, 63, 57, 62)(58, 64, 59, 66, 60, 65)(67, 70, 68, 71, 69, 72)
	L = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 17)(10, 15)(11, 19)(13, 21)(14, 22)(18, 26)(20, 27)(23, 31)(24, 32)(25, 33)(28, 34)(29, 35)(30, 36)(37, 43)(38, 44)(39, 45)(40, 46)(41, 47)(42, 48)(49, 55)(50, 56)(51, 57)(52, 58)(53, 59)(54, 60)(61, 67)(62, 68)(63, 69)(64, 70)(65, 71)(66, 72)
	local type(s) :: { ( 12^6 ) }
Outer automorphisms :: reflexible
Dual of E10.688
Transitivity :: ET+ VT+ AT+ REG+
Graph:: bipartite
	v = 12 e = 36 f = 6
	degree seq :: [ 6^12 ]

E10.692 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 6, 12})
Quotient :: regular
Aut^+ = C3 x ((C6 x C2) : C2) (small group id <72, 30>)
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, T1^6, T2 * T1 * T2 * T1 * T2 * T1^-1 * T2 * T1^-1, T1^-2 * T2 * T1^-2 * T2 * T1^2 * T2 * T1^2 * T2, T1^-2 * T2 * T1^3 * T2 * T1^-3 * T2 * T1^-3 * T2 * T1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 2, 5, 11, 10, 4)(3, 7, 15, 29, 18, 8)(6, 13, 25, 44, 28, 14)(9, 19, 34, 52, 35, 20)(12, 23, 40, 59, 43, 24)(16, 26, 41, 56, 49, 31)(17, 27, 42, 57, 50, 32)(21, 36, 53, 66, 54, 37)(22, 38, 55, 67, 58, 39)(30, 45, 60, 68, 64, 48)(33, 46, 61, 69, 65, 51)(47, 62, 70, 72, 71, 63)
	L = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 17)(10, 21)(11, 22)(13, 26)(14, 27)(15, 30)(18, 33)(19, 31)(20, 32)(23, 41)(24, 42)(25, 45)(28, 46)(29, 47)(34, 48)(35, 51)(36, 49)(37, 50)(38, 56)(39, 57)(40, 60)(43, 61)(44, 62)(52, 63)(53, 64)(54, 65)(55, 68)(58, 69)(59, 70)(66, 71)(67, 72)
	local type(s) :: { ( 12^6 ) }
Outer automorphisms :: reflexible
Dual of E10.689
Transitivity :: ET+ VT+ AT+ REG+
Graph:: simple bipartite
	v = 12 e = 36 f = 6
	degree seq :: [ 6^12 ]

E10.693 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 6, 12})
Quotient :: edge
Aut^+ = C3 x D24 (small group id <72, 28>)
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 * T2^2 * T1 * T2^-1, T2^6, (T2^-1 * T1)^12 ]
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, 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, 109)(104, 110)(105, 111)(106, 112)(107, 113)(108, 114)(115, 121)(116, 122)(117, 123)(118, 124)(119, 125)(120, 126)(127, 133)(128, 134)(129, 135)(130, 136)(131, 137)(132, 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 ), ( 24^6 ) }
Outer automorphisms :: reflexible
Dual of E10.705
Transitivity :: ET+
Graph:: simple bipartite
	v = 48 e = 72 f = 6
	degree seq :: [ 2^36, 6^12 ]

E10.694 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 6, 12})
Quotient :: edge
Aut^+ = (C6 x S3) : C2 (small group id <72, 23>)
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^-1)^2, T2^6, (T2 * T1)^12 ]
Map:: polytopal
	R = (1, 3, 8, 17, 10, 4)(2, 5, 12, 21, 14, 6)(7, 15, 9, 18, 25, 16)(11, 19, 13, 22, 29, 20)(23, 31, 24, 33, 26, 32)(27, 34, 28, 36, 30, 35)(37, 43, 38, 45, 39, 44)(40, 46, 41, 48, 42, 47)(49, 55, 50, 57, 51, 56)(52, 58, 53, 60, 54, 59)(61, 67, 62, 69, 63, 68)(64, 70, 65, 72, 66, 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, 109)(104, 110)(105, 111)(106, 112)(107, 113)(108, 114)(115, 121)(116, 122)(117, 123)(118, 124)(119, 125)(120, 126)(127, 133)(128, 134)(129, 135)(130, 136)(131, 137)(132, 138)(139, 142)(140, 144)(141, 143)
	L = (1, 73)(2, 74)(3, 75)(4, 76)(5, 77)(6, 78)(7, 79)(8, 80)(9, 81)(10, 82)(11, 83)(12, 84)(13, 85)(14, 86)(15, 87)(16, 88)(17, 89)(18, 90)(19, 91)(20, 92)(21, 93)(22, 94)(23, 95)(24, 96)(25, 97)(26, 98)(27, 99)(28, 100)(29, 101)(30, 102)(31, 103)(32, 104)(33, 105)(34, 106)(35, 107)(36, 108)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 24, 24 ), ( 24^6 ) }
Outer automorphisms :: reflexible
Dual of E10.706
Transitivity :: ET+
Graph:: simple bipartite
	v = 48 e = 72 f = 6
	degree seq :: [ 2^36, 6^12 ]

E10.695 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 6, 12})
Quotient :: edge
Aut^+ = C3 x ((C6 x C2) : C2) (small group id <72, 30>)
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, T2^6, T2 * T1 * T2 * T1 * T2^-1 * T1 * T2^-1 * T1, T2^2 * T1 * T2^2 * T1 * T2^-2 * T1 * T2^-2 * T1, T2^-2 * T1 * T2^3 * T1 * T2^-3 * T1 * T2^-3 * T1 * T2^-1 ]
Map:: polytopal
	R = (1, 3, 8, 18, 10, 4)(2, 5, 12, 25, 14, 6)(7, 15, 29, 47, 30, 16)(9, 19, 34, 52, 35, 20)(11, 22, 38, 55, 39, 23)(13, 26, 43, 60, 44, 27)(17, 31, 48, 63, 49, 32)(21, 36, 53, 66, 54, 37)(24, 40, 56, 67, 57, 41)(28, 45, 61, 70, 62, 46)(33, 50, 64, 71, 65, 51)(42, 58, 68, 72, 69, 59)(73, 74)(75, 79)(76, 81)(77, 83)(78, 85)(80, 89)(82, 93)(84, 96)(86, 100)(87, 94)(88, 98)(90, 105)(91, 95)(92, 99)(97, 114)(101, 112)(102, 117)(103, 110)(104, 115)(106, 113)(107, 118)(108, 111)(109, 116)(119, 130)(120, 128)(121, 133)(122, 127)(123, 132)(124, 131)(125, 129)(126, 134)(135, 140)(136, 139)(137, 142)(138, 141)(143, 144)
	L = (1, 73)(2, 74)(3, 75)(4, 76)(5, 77)(6, 78)(7, 79)(8, 80)(9, 81)(10, 82)(11, 83)(12, 84)(13, 85)(14, 86)(15, 87)(16, 88)(17, 89)(18, 90)(19, 91)(20, 92)(21, 93)(22, 94)(23, 95)(24, 96)(25, 97)(26, 98)(27, 99)(28, 100)(29, 101)(30, 102)(31, 103)(32, 104)(33, 105)(34, 106)(35, 107)(36, 108)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 24, 24 ), ( 24^6 ) }
Outer automorphisms :: reflexible
Dual of E10.707
Transitivity :: ET+
Graph:: simple bipartite
	v = 48 e = 72 f = 6
	degree seq :: [ 2^36, 6^12 ]

E10.696 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 6, 12})
Quotient :: edge
Aut^+ = C3 x D24 (small group id <72, 28>)
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^-1 * T1^-3 * T2^-1 * T1, T2 * T1^-1 * T2 * T1^-3, T2^12 ]
Map:: polytopal non-degenerate
	R = (1, 3, 10, 25, 37, 49, 61, 52, 40, 28, 15, 5)(2, 7, 19, 32, 44, 56, 67, 58, 46, 34, 22, 8)(4, 12, 26, 38, 50, 62, 69, 59, 47, 35, 23, 9)(6, 17, 29, 41, 53, 64, 71, 65, 54, 42, 30, 18)(11, 16, 14, 27, 39, 51, 63, 70, 60, 48, 36, 24)(13, 21, 33, 45, 57, 68, 72, 66, 55, 43, 31, 20)(73, 74, 78, 88, 85, 76)(75, 81, 89, 80, 93, 83)(77, 86, 90, 84, 92, 79)(82, 96, 101, 95, 105, 94)(87, 98, 102, 91, 103, 99)(97, 106, 113, 108, 117, 107)(100, 104, 114, 111, 115, 110)(109, 119, 125, 118, 129, 120)(112, 123, 126, 122, 127, 116)(121, 132, 136, 131, 140, 130)(124, 134, 137, 128, 138, 135)(133, 139, 143, 142, 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) :: { ( 4^6 ), ( 4^12 ) }
Outer automorphisms :: reflexible
Dual of E10.708
Transitivity :: ET+
Graph:: simple bipartite
	v = 18 e = 72 f = 36
	degree seq :: [ 6^12, 12^6 ]

E10.697 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 6, 12})
Quotient :: edge
Aut^+ = (C6 x S3) : C2 (small group id <72, 23>)
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)^2, T1^6, T2^12 ]
Map:: polytopal non-degenerate
	R = (1, 3, 10, 21, 33, 45, 57, 48, 36, 24, 13, 5)(2, 7, 17, 29, 41, 53, 64, 54, 42, 30, 18, 8)(4, 11, 23, 35, 47, 59, 66, 56, 44, 32, 20, 9)(6, 15, 27, 39, 51, 62, 70, 63, 52, 40, 28, 16)(12, 19, 31, 43, 55, 65, 71, 67, 58, 46, 34, 22)(14, 25, 37, 49, 60, 68, 72, 69, 61, 50, 38, 26)(73, 74, 78, 86, 84, 76)(75, 81, 91, 98, 87, 80)(77, 83, 94, 97, 88, 79)(82, 90, 99, 110, 103, 92)(85, 89, 100, 109, 106, 95)(93, 104, 115, 122, 111, 102)(96, 107, 118, 121, 112, 101)(105, 114, 123, 133, 127, 116)(108, 113, 124, 132, 130, 119)(117, 128, 137, 141, 134, 126)(120, 131, 139, 140, 135, 125)(129, 136, 142, 144, 143, 138)
	L = (1, 73)(2, 74)(3, 75)(4, 76)(5, 77)(6, 78)(7, 79)(8, 80)(9, 81)(10, 82)(11, 83)(12, 84)(13, 85)(14, 86)(15, 87)(16, 88)(17, 89)(18, 90)(19, 91)(20, 92)(21, 93)(22, 94)(23, 95)(24, 96)(25, 97)(26, 98)(27, 99)(28, 100)(29, 101)(30, 102)(31, 103)(32, 104)(33, 105)(34, 106)(35, 107)(36, 108)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 4^6 ), ( 4^12 ) }
Outer automorphisms :: reflexible
Dual of E10.709
Transitivity :: ET+
Graph:: simple bipartite
	v = 18 e = 72 f = 36
	degree seq :: [ 6^12, 12^6 ]

E10.698 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 6, 12})
Quotient :: edge
Aut^+ = C3 x ((C6 x C2) : C2) (small group id <72, 30>)
Aut   = (C2 x S3 x S3) : C2 (small group id <144, 154>)
|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, T1^6, T1^-1 * T2^-1 * T1^2 * T2^-2 * T1^2 * T2^-1 * T1^-1, T1^-1 * T2 * T1^-1 * T2^9 ]
Map:: polytopal non-degenerate
	R = (1, 3, 10, 25, 46, 64, 72, 59, 42, 21, 15, 5)(2, 7, 19, 11, 27, 47, 66, 70, 60, 37, 22, 8)(4, 12, 26, 48, 65, 69, 62, 41, 32, 14, 24, 9)(6, 17, 35, 20, 39, 28, 50, 67, 71, 55, 38, 18)(13, 30, 49, 54, 68, 58, 52, 31, 45, 23, 44, 29)(16, 33, 53, 36, 57, 40, 61, 43, 63, 51, 56, 34)(73, 74, 78, 88, 85, 76)(75, 81, 95, 115, 100, 83)(77, 86, 103, 112, 92, 79)(80, 93, 113, 130, 108, 89)(82, 91, 107, 125, 121, 98)(84, 101, 123, 139, 119, 97)(87, 94, 110, 128, 116, 96)(90, 109, 131, 141, 126, 105)(99, 111, 129, 140, 137, 118)(102, 106, 127, 142, 136, 120)(104, 114, 132, 143, 135, 117)(122, 133, 124, 134, 144, 138)
	L = (1, 73)(2, 74)(3, 75)(4, 76)(5, 77)(6, 78)(7, 79)(8, 80)(9, 81)(10, 82)(11, 83)(12, 84)(13, 85)(14, 86)(15, 87)(16, 88)(17, 89)(18, 90)(19, 91)(20, 92)(21, 93)(22, 94)(23, 95)(24, 96)(25, 97)(26, 98)(27, 99)(28, 100)(29, 101)(30, 102)(31, 103)(32, 104)(33, 105)(34, 106)(35, 107)(36, 108)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 4^6 ), ( 4^12 ) }
Outer automorphisms :: reflexible
Dual of E10.710
Transitivity :: ET+
Graph:: simple bipartite
	v = 18 e = 72 f = 36
	degree seq :: [ 6^12, 12^6 ]

E10.699 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 6, 12})
Quotient :: edge
Aut^+ = C3 x D24 (small group id <72, 28>)
Aut   = D24 x S3 (small group id <144, 144>)
|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, T1^12 ]
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, 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, 64)(55, 66)(57, 68)(59, 69)(62, 70)(65, 71)(67, 72)(73, 74, 77, 83, 95, 111, 125, 124, 110, 94, 82, 76)(75, 79, 87, 103, 119, 131, 136, 129, 113, 96, 90, 80)(78, 85, 99, 93, 109, 123, 135, 139, 127, 112, 102, 86)(81, 91, 108, 122, 134, 137, 126, 116, 98, 84, 97, 92)(88, 100, 114, 107, 118, 130, 140, 144, 142, 132, 121, 105)(89, 101, 115, 128, 138, 143, 141, 133, 120, 104, 117, 106)
	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, 12 ), ( 12^12 ) }
Outer automorphisms :: reflexible
Dual of E10.702
Transitivity :: ET+
Graph:: simple bipartite
	v = 42 e = 72 f = 12
	degree seq :: [ 2^36, 12^6 ]

E10.700 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 6, 12})
Quotient :: edge
Aut^+ = (C6 x S3) : C2 (small group id <72, 23>)
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^-1)^2, (T2 * T1)^6, T1^12 ]
Map:: polytopal
	R = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 17)(10, 15)(11, 21)(13, 23)(14, 24)(18, 30)(19, 29)(20, 33)(22, 35)(25, 40)(26, 41)(27, 42)(28, 43)(31, 39)(32, 48)(34, 50)(36, 52)(37, 53)(38, 54)(44, 59)(45, 57)(46, 58)(47, 60)(49, 62)(51, 64)(55, 65)(56, 66)(61, 68)(63, 70)(67, 71)(69, 72)(73, 74, 77, 83, 92, 104, 119, 118, 103, 91, 82, 76)(75, 79, 87, 97, 111, 127, 132, 121, 105, 94, 84, 80)(78, 85, 81, 90, 101, 116, 130, 133, 120, 106, 93, 86)(88, 98, 89, 100, 107, 123, 134, 141, 137, 128, 112, 99)(95, 108, 96, 110, 122, 135, 140, 139, 131, 117, 102, 109)(113, 125, 114, 129, 138, 143, 144, 142, 136, 126, 115, 124)
	L = (1, 73)(2, 74)(3, 75)(4, 76)(5, 77)(6, 78)(7, 79)(8, 80)(9, 81)(10, 82)(11, 83)(12, 84)(13, 85)(14, 86)(15, 87)(16, 88)(17, 89)(18, 90)(19, 91)(20, 92)(21, 93)(22, 94)(23, 95)(24, 96)(25, 97)(26, 98)(27, 99)(28, 100)(29, 101)(30, 102)(31, 103)(32, 104)(33, 105)(34, 106)(35, 107)(36, 108)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 12, 12 ), ( 12^12 ) }
Outer automorphisms :: reflexible
Dual of E10.703
Transitivity :: ET+
Graph:: simple bipartite
	v = 42 e = 72 f = 12
	degree seq :: [ 2^36, 12^6 ]

E10.701 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 6, 12})
Quotient :: edge
Aut^+ = C3 x ((C6 x C2) : C2) (small group id <72, 30>)
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 * T1^2 * T2 * T1^-1, T1^12, (T2 * T1^-1)^6 ]
Map:: polytopal
	R = (1, 3)(2, 6)(4, 9)(5, 12)(7, 15)(8, 16)(10, 17)(11, 21)(13, 23)(14, 24)(18, 29)(19, 30)(20, 33)(22, 35)(25, 39)(26, 40)(27, 41)(28, 42)(31, 43)(32, 48)(34, 50)(36, 52)(37, 53)(38, 54)(44, 55)(45, 60)(46, 61)(47, 62)(49, 64)(51, 66)(56, 69)(57, 65)(58, 67)(59, 70)(63, 71)(68, 72)(73, 74, 77, 83, 92, 104, 119, 118, 103, 91, 82, 76)(75, 79, 84, 94, 105, 121, 134, 131, 115, 100, 89, 80)(78, 85, 93, 106, 120, 135, 133, 117, 102, 90, 81, 86)(87, 97, 107, 123, 136, 144, 142, 130, 114, 99, 88, 98)(95, 108, 122, 137, 143, 141, 132, 116, 101, 110, 96, 109)(111, 127, 138, 126, 140, 125, 139, 124, 113, 129, 112, 128)
	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, 12 ), ( 12^12 ) }
Outer automorphisms :: reflexible
Dual of E10.704
Transitivity :: ET+
Graph:: simple bipartite
	v = 42 e = 72 f = 12
	degree seq :: [ 2^36, 12^6 ]

E10.702 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 6, 12})
Quotient :: loop
Aut^+ = C3 x D24 (small group id <72, 28>)
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 * T2^2 * T1 * T2^-1, T2^6, (T2^-1 * T1)^12 ]
Map::
	R = (1, 73, 3, 75, 8, 80, 17, 89, 10, 82, 4, 76)(2, 74, 5, 77, 12, 84, 21, 93, 14, 86, 6, 78)(7, 79, 15, 87, 24, 96, 18, 90, 9, 81, 16, 88)(11, 83, 19, 91, 28, 100, 22, 94, 13, 85, 20, 92)(23, 95, 31, 103, 26, 98, 33, 105, 25, 97, 32, 104)(27, 99, 34, 106, 30, 102, 36, 108, 29, 101, 35, 107)(37, 109, 43, 115, 39, 111, 45, 117, 38, 110, 44, 116)(40, 112, 46, 118, 42, 114, 48, 120, 41, 113, 47, 119)(49, 121, 55, 127, 51, 123, 57, 129, 50, 122, 56, 128)(52, 124, 58, 130, 54, 126, 60, 132, 53, 125, 59, 131)(61, 133, 67, 139, 63, 135, 69, 141, 62, 134, 68, 140)(64, 136, 70, 142, 66, 138, 72, 144, 65, 137, 71, 143)
	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, 95)(16, 97)(17, 96)(18, 98)(19, 99)(20, 101)(21, 100)(22, 102)(23, 87)(24, 89)(25, 88)(26, 90)(27, 91)(28, 93)(29, 92)(30, 94)(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, 143)(69, 144)(70, 139)(71, 140)(72, 141)
	local type(s) :: { ( 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12 ) }
Outer automorphisms :: reflexible
Dual of E10.699
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 12 e = 72 f = 42
	degree seq :: [ 12^12 ]

E10.703 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 6, 12})
Quotient :: loop
Aut^+ = (C6 x S3) : C2 (small group id <72, 23>)
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^-1)^2, T2^6, (T2 * T1)^12 ]
Map::
	R = (1, 73, 3, 75, 8, 80, 17, 89, 10, 82, 4, 76)(2, 74, 5, 77, 12, 84, 21, 93, 14, 86, 6, 78)(7, 79, 15, 87, 9, 81, 18, 90, 25, 97, 16, 88)(11, 83, 19, 91, 13, 85, 22, 94, 29, 101, 20, 92)(23, 95, 31, 103, 24, 96, 33, 105, 26, 98, 32, 104)(27, 99, 34, 106, 28, 100, 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)
	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, 95)(16, 96)(17, 97)(18, 98)(19, 99)(20, 100)(21, 101)(22, 102)(23, 87)(24, 88)(25, 89)(26, 90)(27, 91)(28, 92)(29, 93)(30, 94)(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)
	local type(s) :: { ( 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12 ) }
Outer automorphisms :: reflexible
Dual of E10.700
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 12 e = 72 f = 42
	degree seq :: [ 12^12 ]

E10.704 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 6, 12})
Quotient :: loop
Aut^+ = C3 x ((C6 x C2) : C2) (small group id <72, 30>)
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, T2^6, T2 * T1 * T2 * T1 * T2^-1 * T1 * T2^-1 * T1, T2^2 * T1 * T2^2 * T1 * T2^-2 * T1 * T2^-2 * T1, T2^-2 * T1 * T2^3 * T1 * T2^-3 * T1 * T2^-3 * T1 * T2^-1 ]
Map::
	R = (1, 73, 3, 75, 8, 80, 18, 90, 10, 82, 4, 76)(2, 74, 5, 77, 12, 84, 25, 97, 14, 86, 6, 78)(7, 79, 15, 87, 29, 101, 47, 119, 30, 102, 16, 88)(9, 81, 19, 91, 34, 106, 52, 124, 35, 107, 20, 92)(11, 83, 22, 94, 38, 110, 55, 127, 39, 111, 23, 95)(13, 85, 26, 98, 43, 115, 60, 132, 44, 116, 27, 99)(17, 89, 31, 103, 48, 120, 63, 135, 49, 121, 32, 104)(21, 93, 36, 108, 53, 125, 66, 138, 54, 126, 37, 109)(24, 96, 40, 112, 56, 128, 67, 139, 57, 129, 41, 113)(28, 100, 45, 117, 61, 133, 70, 142, 62, 134, 46, 118)(33, 105, 50, 122, 64, 136, 71, 143, 65, 137, 51, 123)(42, 114, 58, 130, 68, 140, 72, 144, 69, 141, 59, 131)
	L = (1, 74)(2, 73)(3, 79)(4, 81)(5, 83)(6, 85)(7, 75)(8, 89)(9, 76)(10, 93)(11, 77)(12, 96)(13, 78)(14, 100)(15, 94)(16, 98)(17, 80)(18, 105)(19, 95)(20, 99)(21, 82)(22, 87)(23, 91)(24, 84)(25, 114)(26, 88)(27, 92)(28, 86)(29, 112)(30, 117)(31, 110)(32, 115)(33, 90)(34, 113)(35, 118)(36, 111)(37, 116)(38, 103)(39, 108)(40, 101)(41, 106)(42, 97)(43, 104)(44, 109)(45, 102)(46, 107)(47, 130)(48, 128)(49, 133)(50, 127)(51, 132)(52, 131)(53, 129)(54, 134)(55, 122)(56, 120)(57, 125)(58, 119)(59, 124)(60, 123)(61, 121)(62, 126)(63, 140)(64, 139)(65, 142)(66, 141)(67, 136)(68, 135)(69, 138)(70, 137)(71, 144)(72, 143)
	local type(s) :: { ( 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12 ) }
Outer automorphisms :: reflexible
Dual of E10.701
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 12 e = 72 f = 42
	degree seq :: [ 12^12 ]

E10.705 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 6, 12})
Quotient :: loop
Aut^+ = C3 x D24 (small group id <72, 28>)
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^-1 * T1^-3 * T2^-1 * T1, T2 * T1^-1 * T2 * T1^-3, T2^12 ]
Map::
	R = (1, 73, 3, 75, 10, 82, 25, 97, 37, 109, 49, 121, 61, 133, 52, 124, 40, 112, 28, 100, 15, 87, 5, 77)(2, 74, 7, 79, 19, 91, 32, 104, 44, 116, 56, 128, 67, 139, 58, 130, 46, 118, 34, 106, 22, 94, 8, 80)(4, 76, 12, 84, 26, 98, 38, 110, 50, 122, 62, 134, 69, 141, 59, 131, 47, 119, 35, 107, 23, 95, 9, 81)(6, 78, 17, 89, 29, 101, 41, 113, 53, 125, 64, 136, 71, 143, 65, 137, 54, 126, 42, 114, 30, 102, 18, 90)(11, 83, 16, 88, 14, 86, 27, 99, 39, 111, 51, 123, 63, 135, 70, 142, 60, 132, 48, 120, 36, 108, 24, 96)(13, 85, 21, 93, 33, 105, 45, 117, 57, 129, 68, 140, 72, 144, 66, 138, 55, 127, 43, 115, 31, 103, 20, 92)
	L = (1, 74)(2, 78)(3, 81)(4, 73)(5, 86)(6, 88)(7, 77)(8, 93)(9, 89)(10, 96)(11, 75)(12, 92)(13, 76)(14, 90)(15, 98)(16, 85)(17, 80)(18, 84)(19, 103)(20, 79)(21, 83)(22, 82)(23, 105)(24, 101)(25, 106)(26, 102)(27, 87)(28, 104)(29, 95)(30, 91)(31, 99)(32, 114)(33, 94)(34, 113)(35, 97)(36, 117)(37, 119)(38, 100)(39, 115)(40, 123)(41, 108)(42, 111)(43, 110)(44, 112)(45, 107)(46, 129)(47, 125)(48, 109)(49, 132)(50, 127)(51, 126)(52, 134)(53, 118)(54, 122)(55, 116)(56, 138)(57, 120)(58, 121)(59, 140)(60, 136)(61, 139)(62, 137)(63, 124)(64, 131)(65, 128)(66, 135)(67, 143)(68, 130)(69, 133)(70, 144)(71, 142)(72, 141)
	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 E10.693
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 6 e = 72 f = 48
	degree seq :: [ 24^6 ]

E10.706 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 6, 12})
Quotient :: loop
Aut^+ = (C6 x S3) : C2 (small group id <72, 23>)
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)^2, T1^6, T2^12 ]
Map::
	R = (1, 73, 3, 75, 10, 82, 21, 93, 33, 105, 45, 117, 57, 129, 48, 120, 36, 108, 24, 96, 13, 85, 5, 77)(2, 74, 7, 79, 17, 89, 29, 101, 41, 113, 53, 125, 64, 136, 54, 126, 42, 114, 30, 102, 18, 90, 8, 80)(4, 76, 11, 83, 23, 95, 35, 107, 47, 119, 59, 131, 66, 138, 56, 128, 44, 116, 32, 104, 20, 92, 9, 81)(6, 78, 15, 87, 27, 99, 39, 111, 51, 123, 62, 134, 70, 142, 63, 135, 52, 124, 40, 112, 28, 100, 16, 88)(12, 84, 19, 91, 31, 103, 43, 115, 55, 127, 65, 137, 71, 143, 67, 139, 58, 130, 46, 118, 34, 106, 22, 94)(14, 86, 25, 97, 37, 109, 49, 121, 60, 132, 68, 140, 72, 144, 69, 141, 61, 133, 50, 122, 38, 110, 26, 98)
	L = (1, 74)(2, 78)(3, 81)(4, 73)(5, 83)(6, 86)(7, 77)(8, 75)(9, 91)(10, 90)(11, 94)(12, 76)(13, 89)(14, 84)(15, 80)(16, 79)(17, 100)(18, 99)(19, 98)(20, 82)(21, 104)(22, 97)(23, 85)(24, 107)(25, 88)(26, 87)(27, 110)(28, 109)(29, 96)(30, 93)(31, 92)(32, 115)(33, 114)(34, 95)(35, 118)(36, 113)(37, 106)(38, 103)(39, 102)(40, 101)(41, 124)(42, 123)(43, 122)(44, 105)(45, 128)(46, 121)(47, 108)(48, 131)(49, 112)(50, 111)(51, 133)(52, 132)(53, 120)(54, 117)(55, 116)(56, 137)(57, 136)(58, 119)(59, 139)(60, 130)(61, 127)(62, 126)(63, 125)(64, 142)(65, 141)(66, 129)(67, 140)(68, 135)(69, 134)(70, 144)(71, 138)(72, 143)
	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 E10.694
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 6 e = 72 f = 48
	degree seq :: [ 24^6 ]

E10.707 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 6, 12})
Quotient :: loop
Aut^+ = C3 x ((C6 x C2) : C2) (small group id <72, 30>)
Aut   = (C2 x S3 x S3) : C2 (small group id <144, 154>)
|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, T1^6, T1^-1 * T2^-1 * T1^2 * T2^-2 * T1^2 * T2^-1 * T1^-1, T1^-1 * T2 * T1^-1 * T2^9 ]
Map::
	R = (1, 73, 3, 75, 10, 82, 25, 97, 46, 118, 64, 136, 72, 144, 59, 131, 42, 114, 21, 93, 15, 87, 5, 77)(2, 74, 7, 79, 19, 91, 11, 83, 27, 99, 47, 119, 66, 138, 70, 142, 60, 132, 37, 109, 22, 94, 8, 80)(4, 76, 12, 84, 26, 98, 48, 120, 65, 137, 69, 141, 62, 134, 41, 113, 32, 104, 14, 86, 24, 96, 9, 81)(6, 78, 17, 89, 35, 107, 20, 92, 39, 111, 28, 100, 50, 122, 67, 139, 71, 143, 55, 127, 38, 110, 18, 90)(13, 85, 30, 102, 49, 121, 54, 126, 68, 140, 58, 130, 52, 124, 31, 103, 45, 117, 23, 95, 44, 116, 29, 101)(16, 88, 33, 105, 53, 125, 36, 108, 57, 129, 40, 112, 61, 133, 43, 115, 63, 135, 51, 123, 56, 128, 34, 106)
	L = (1, 74)(2, 78)(3, 81)(4, 73)(5, 86)(6, 88)(7, 77)(8, 93)(9, 95)(10, 91)(11, 75)(12, 101)(13, 76)(14, 103)(15, 94)(16, 85)(17, 80)(18, 109)(19, 107)(20, 79)(21, 113)(22, 110)(23, 115)(24, 87)(25, 84)(26, 82)(27, 111)(28, 83)(29, 123)(30, 106)(31, 112)(32, 114)(33, 90)(34, 127)(35, 125)(36, 89)(37, 131)(38, 128)(39, 129)(40, 92)(41, 130)(42, 132)(43, 100)(44, 96)(45, 104)(46, 99)(47, 97)(48, 102)(49, 98)(50, 133)(51, 139)(52, 134)(53, 121)(54, 105)(55, 142)(56, 116)(57, 140)(58, 108)(59, 141)(60, 143)(61, 124)(62, 144)(63, 117)(64, 120)(65, 118)(66, 122)(67, 119)(68, 137)(69, 126)(70, 136)(71, 135)(72, 138)
	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 E10.695
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 6 e = 72 f = 48
	degree seq :: [ 24^6 ]

E10.708 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 6, 12})
Quotient :: loop
Aut^+ = C3 x D24 (small group id <72, 28>)
Aut   = D24 x S3 (small group id <144, 144>)
|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, T1^12 ]
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, 32, 104)(18, 90, 35, 107)(19, 91, 33, 105)(20, 92, 34, 106)(22, 94, 31, 103)(23, 95, 40, 112)(25, 97, 42, 114)(26, 98, 43, 115)(27, 99, 45, 117)(30, 102, 46, 118)(36, 108, 48, 120)(37, 109, 49, 121)(38, 110, 50, 122)(39, 111, 54, 126)(41, 113, 56, 128)(44, 116, 58, 130)(47, 119, 60, 132)(51, 123, 61, 133)(52, 124, 63, 135)(53, 125, 64, 136)(55, 127, 66, 138)(57, 129, 68, 140)(59, 131, 69, 141)(62, 134, 70, 142)(65, 137, 71, 143)(67, 139, 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, 103)(16, 100)(17, 101)(18, 80)(19, 108)(20, 81)(21, 109)(22, 82)(23, 111)(24, 90)(25, 92)(26, 84)(27, 93)(28, 114)(29, 115)(30, 86)(31, 119)(32, 117)(33, 88)(34, 89)(35, 118)(36, 122)(37, 123)(38, 94)(39, 125)(40, 102)(41, 96)(42, 107)(43, 128)(44, 98)(45, 106)(46, 130)(47, 131)(48, 104)(49, 105)(50, 134)(51, 135)(52, 110)(53, 124)(54, 116)(55, 112)(56, 138)(57, 113)(58, 140)(59, 136)(60, 121)(61, 120)(62, 137)(63, 139)(64, 129)(65, 126)(66, 143)(67, 127)(68, 144)(69, 133)(70, 132)(71, 141)(72, 142)
	local type(s) :: { ( 6, 12, 6, 12 ) }
Outer automorphisms :: reflexible
Dual of E10.696
Transitivity :: ET+ VT+ AT
Graph:: simple bipartite
	v = 36 e = 72 f = 18
	degree seq :: [ 4^36 ]

E10.709 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 6, 12})
Quotient :: loop
Aut^+ = (C6 x S3) : C2 (small group id <72, 23>)
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^-1)^2, (T2 * T1)^6, 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, 15, 87)(11, 83, 21, 93)(13, 85, 23, 95)(14, 86, 24, 96)(18, 90, 30, 102)(19, 91, 29, 101)(20, 92, 33, 105)(22, 94, 35, 107)(25, 97, 40, 112)(26, 98, 41, 113)(27, 99, 42, 114)(28, 100, 43, 115)(31, 103, 39, 111)(32, 104, 48, 120)(34, 106, 50, 122)(36, 108, 52, 124)(37, 109, 53, 125)(38, 110, 54, 126)(44, 116, 59, 131)(45, 117, 57, 129)(46, 118, 58, 130)(47, 119, 60, 132)(49, 121, 62, 134)(51, 123, 64, 136)(55, 127, 65, 137)(56, 128, 66, 138)(61, 133, 68, 140)(63, 135, 70, 142)(67, 139, 71, 143)(69, 141, 72, 144)
	L = (1, 74)(2, 77)(3, 79)(4, 73)(5, 83)(6, 85)(7, 87)(8, 75)(9, 90)(10, 76)(11, 92)(12, 80)(13, 81)(14, 78)(15, 97)(16, 98)(17, 100)(18, 101)(19, 82)(20, 104)(21, 86)(22, 84)(23, 108)(24, 110)(25, 111)(26, 89)(27, 88)(28, 107)(29, 116)(30, 109)(31, 91)(32, 119)(33, 94)(34, 93)(35, 123)(36, 96)(37, 95)(38, 122)(39, 127)(40, 99)(41, 125)(42, 129)(43, 124)(44, 130)(45, 102)(46, 103)(47, 118)(48, 106)(49, 105)(50, 135)(51, 134)(52, 113)(53, 114)(54, 115)(55, 132)(56, 112)(57, 138)(58, 133)(59, 117)(60, 121)(61, 120)(62, 141)(63, 140)(64, 126)(65, 128)(66, 143)(67, 131)(68, 139)(69, 137)(70, 136)(71, 144)(72, 142)
	local type(s) :: { ( 6, 12, 6, 12 ) }
Outer automorphisms :: reflexible
Dual of E10.697
Transitivity :: ET+ VT+ AT
Graph:: simple bipartite
	v = 36 e = 72 f = 18
	degree seq :: [ 4^36 ]

E10.710 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 6, 12})
Quotient :: loop
Aut^+ = C3 x ((C6 x C2) : C2) (small group id <72, 30>)
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 * T1^2 * T2 * T1^-1, T1^12, (T2 * T1^-1)^6 ]
Map:: polytopal non-degenerate
	R = (1, 73, 3, 75)(2, 74, 6, 78)(4, 76, 9, 81)(5, 77, 12, 84)(7, 79, 15, 87)(8, 80, 16, 88)(10, 82, 17, 89)(11, 83, 21, 93)(13, 85, 23, 95)(14, 86, 24, 96)(18, 90, 29, 101)(19, 91, 30, 102)(20, 92, 33, 105)(22, 94, 35, 107)(25, 97, 39, 111)(26, 98, 40, 112)(27, 99, 41, 113)(28, 100, 42, 114)(31, 103, 43, 115)(32, 104, 48, 120)(34, 106, 50, 122)(36, 108, 52, 124)(37, 109, 53, 125)(38, 110, 54, 126)(44, 116, 55, 127)(45, 117, 60, 132)(46, 118, 61, 133)(47, 119, 62, 134)(49, 121, 64, 136)(51, 123, 66, 138)(56, 128, 69, 141)(57, 129, 65, 137)(58, 130, 67, 139)(59, 131, 70, 142)(63, 135, 71, 143)(68, 140, 72, 144)
	L = (1, 74)(2, 77)(3, 79)(4, 73)(5, 83)(6, 85)(7, 84)(8, 75)(9, 86)(10, 76)(11, 92)(12, 94)(13, 93)(14, 78)(15, 97)(16, 98)(17, 80)(18, 81)(19, 82)(20, 104)(21, 106)(22, 105)(23, 108)(24, 109)(25, 107)(26, 87)(27, 88)(28, 89)(29, 110)(30, 90)(31, 91)(32, 119)(33, 121)(34, 120)(35, 123)(36, 122)(37, 95)(38, 96)(39, 127)(40, 128)(41, 129)(42, 99)(43, 100)(44, 101)(45, 102)(46, 103)(47, 118)(48, 135)(49, 134)(50, 137)(51, 136)(52, 113)(53, 139)(54, 140)(55, 138)(56, 111)(57, 112)(58, 114)(59, 115)(60, 116)(61, 117)(62, 131)(63, 133)(64, 144)(65, 143)(66, 126)(67, 124)(68, 125)(69, 132)(70, 130)(71, 141)(72, 142)
	local type(s) :: { ( 6, 12, 6, 12 ) }
Outer automorphisms :: reflexible
Dual of E10.698
Transitivity :: ET+ VT+ AT
Graph:: simple bipartite
	v = 36 e = 72 f = 18
	degree seq :: [ 4^36 ]

E10.711 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 12})
Quotient :: dipole
Aut^+ = C3 x D24 (small group id <72, 28>)
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, Y2^6, (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, 23, 95)(16, 88, 25, 97)(17, 89, 24, 96)(18, 90, 26, 98)(19, 91, 27, 99)(20, 92, 29, 101)(21, 93, 28, 100)(22, 94, 30, 102)(31, 103, 37, 109)(32, 104, 38, 110)(33, 105, 39, 111)(34, 106, 40, 112)(35, 107, 41, 113)(36, 108, 42, 114)(43, 115, 49, 121)(44, 116, 50, 122)(45, 117, 51, 123)(46, 118, 52, 124)(47, 119, 53, 125)(48, 120, 54, 126)(55, 127, 61, 133)(56, 128, 62, 134)(57, 129, 63, 135)(58, 130, 64, 136)(59, 131, 65, 137)(60, 132, 66, 138)(67, 139, 70, 142)(68, 140, 71, 143)(69, 141, 72, 144)(145, 217, 147, 219, 152, 224, 161, 233, 154, 226, 148, 220)(146, 218, 149, 221, 156, 228, 165, 237, 158, 230, 150, 222)(151, 223, 159, 231, 168, 240, 162, 234, 153, 225, 160, 232)(155, 227, 163, 235, 172, 244, 166, 238, 157, 229, 164, 236)(167, 239, 175, 247, 170, 242, 177, 249, 169, 241, 176, 248)(171, 243, 178, 250, 174, 246, 180, 252, 173, 245, 179, 251)(181, 253, 187, 259, 183, 255, 189, 261, 182, 254, 188, 260)(184, 256, 190, 262, 186, 258, 192, 264, 185, 257, 191, 263)(193, 265, 199, 271, 195, 267, 201, 273, 194, 266, 200, 272)(196, 268, 202, 274, 198, 270, 204, 276, 197, 269, 203, 275)(205, 277, 211, 283, 207, 279, 213, 285, 206, 278, 212, 284)(208, 280, 214, 286, 210, 282, 216, 288, 209, 281, 215, 287)
	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, 167)(16, 169)(17, 168)(18, 170)(19, 171)(20, 173)(21, 172)(22, 174)(23, 159)(24, 161)(25, 160)(26, 162)(27, 163)(28, 165)(29, 164)(30, 166)(31, 181)(32, 182)(33, 183)(34, 184)(35, 185)(36, 186)(37, 175)(38, 176)(39, 177)(40, 178)(41, 179)(42, 180)(43, 193)(44, 194)(45, 195)(46, 196)(47, 197)(48, 198)(49, 187)(50, 188)(51, 189)(52, 190)(53, 191)(54, 192)(55, 205)(56, 206)(57, 207)(58, 208)(59, 209)(60, 210)(61, 199)(62, 200)(63, 201)(64, 202)(65, 203)(66, 204)(67, 214)(68, 215)(69, 216)(70, 211)(71, 212)(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 ) }
Outer automorphisms :: reflexible
Dual of E10.720
Graph:: bipartite
	v = 48 e = 144 f = 78
	degree seq :: [ 4^36, 12^12 ]

E10.712 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 12})
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, R^2, Y3^-1 * Y1, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, (Y2^2 * Y1)^2, Y2^6, (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, 23, 95)(16, 88, 24, 96)(17, 89, 25, 97)(18, 90, 26, 98)(19, 91, 27, 99)(20, 92, 28, 100)(21, 93, 29, 101)(22, 94, 30, 102)(31, 103, 37, 109)(32, 104, 38, 110)(33, 105, 39, 111)(34, 106, 40, 112)(35, 107, 41, 113)(36, 108, 42, 114)(43, 115, 49, 121)(44, 116, 50, 122)(45, 117, 51, 123)(46, 118, 52, 124)(47, 119, 53, 125)(48, 120, 54, 126)(55, 127, 61, 133)(56, 128, 62, 134)(57, 129, 63, 135)(58, 130, 64, 136)(59, 131, 65, 137)(60, 132, 66, 138)(67, 139, 70, 142)(68, 140, 72, 144)(69, 141, 71, 143)(145, 217, 147, 219, 152, 224, 161, 233, 154, 226, 148, 220)(146, 218, 149, 221, 156, 228, 165, 237, 158, 230, 150, 222)(151, 223, 159, 231, 153, 225, 162, 234, 169, 241, 160, 232)(155, 227, 163, 235, 157, 229, 166, 238, 173, 245, 164, 236)(167, 239, 175, 247, 168, 240, 177, 249, 170, 242, 176, 248)(171, 243, 178, 250, 172, 244, 180, 252, 174, 246, 179, 251)(181, 253, 187, 259, 182, 254, 189, 261, 183, 255, 188, 260)(184, 256, 190, 262, 185, 257, 192, 264, 186, 258, 191, 263)(193, 265, 199, 271, 194, 266, 201, 273, 195, 267, 200, 272)(196, 268, 202, 274, 197, 269, 204, 276, 198, 270, 203, 275)(205, 277, 211, 283, 206, 278, 213, 285, 207, 279, 212, 284)(208, 280, 214, 286, 209, 281, 216, 288, 210, 282, 215, 287)
	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, 167)(16, 168)(17, 169)(18, 170)(19, 171)(20, 172)(21, 173)(22, 174)(23, 159)(24, 160)(25, 161)(26, 162)(27, 163)(28, 164)(29, 165)(30, 166)(31, 181)(32, 182)(33, 183)(34, 184)(35, 185)(36, 186)(37, 175)(38, 176)(39, 177)(40, 178)(41, 179)(42, 180)(43, 193)(44, 194)(45, 195)(46, 196)(47, 197)(48, 198)(49, 187)(50, 188)(51, 189)(52, 190)(53, 191)(54, 192)(55, 205)(56, 206)(57, 207)(58, 208)(59, 209)(60, 210)(61, 199)(62, 200)(63, 201)(64, 202)(65, 203)(66, 204)(67, 214)(68, 216)(69, 215)(70, 211)(71, 213)(72, 212)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 2, 24, 2, 24 ), ( 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24 ) }
Outer automorphisms :: reflexible
Dual of E10.721
Graph:: bipartite
	v = 48 e = 144 f = 78
	degree seq :: [ 4^36, 12^12 ]

E10.713 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 12})
Quotient :: dipole
Aut^+ = C3 x ((C6 x C2) : C2) (small group id <72, 30>)
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, Y2^6, Y2^-1 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2^-1 * Y1, Y2^2 * Y1 * Y2^-2 * Y1 * Y2^-2 * Y1 * Y2^2 * Y1, (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, 24, 96)(14, 86, 28, 100)(15, 87, 22, 94)(16, 88, 26, 98)(18, 90, 33, 105)(19, 91, 23, 95)(20, 92, 27, 99)(25, 97, 42, 114)(29, 101, 40, 112)(30, 102, 45, 117)(31, 103, 38, 110)(32, 104, 43, 115)(34, 106, 41, 113)(35, 107, 46, 118)(36, 108, 39, 111)(37, 109, 44, 116)(47, 119, 58, 130)(48, 120, 56, 128)(49, 121, 61, 133)(50, 122, 55, 127)(51, 123, 60, 132)(52, 124, 59, 131)(53, 125, 57, 129)(54, 126, 62, 134)(63, 135, 68, 140)(64, 136, 67, 139)(65, 137, 70, 142)(66, 138, 69, 141)(71, 143, 72, 144)(145, 217, 147, 219, 152, 224, 162, 234, 154, 226, 148, 220)(146, 218, 149, 221, 156, 228, 169, 241, 158, 230, 150, 222)(151, 223, 159, 231, 173, 245, 191, 263, 174, 246, 160, 232)(153, 225, 163, 235, 178, 250, 196, 268, 179, 251, 164, 236)(155, 227, 166, 238, 182, 254, 199, 271, 183, 255, 167, 239)(157, 229, 170, 242, 187, 259, 204, 276, 188, 260, 171, 243)(161, 233, 175, 247, 192, 264, 207, 279, 193, 265, 176, 248)(165, 237, 180, 252, 197, 269, 210, 282, 198, 270, 181, 253)(168, 240, 184, 256, 200, 272, 211, 283, 201, 273, 185, 257)(172, 244, 189, 261, 205, 277, 214, 286, 206, 278, 190, 262)(177, 249, 194, 266, 208, 280, 215, 287, 209, 281, 195, 267)(186, 258, 202, 274, 212, 284, 216, 288, 213, 285, 203, 275)
	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, 166)(16, 170)(17, 152)(18, 177)(19, 167)(20, 171)(21, 154)(22, 159)(23, 163)(24, 156)(25, 186)(26, 160)(27, 164)(28, 158)(29, 184)(30, 189)(31, 182)(32, 187)(33, 162)(34, 185)(35, 190)(36, 183)(37, 188)(38, 175)(39, 180)(40, 173)(41, 178)(42, 169)(43, 176)(44, 181)(45, 174)(46, 179)(47, 202)(48, 200)(49, 205)(50, 199)(51, 204)(52, 203)(53, 201)(54, 206)(55, 194)(56, 192)(57, 197)(58, 191)(59, 196)(60, 195)(61, 193)(62, 198)(63, 212)(64, 211)(65, 214)(66, 213)(67, 208)(68, 207)(69, 210)(70, 209)(71, 216)(72, 215)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 2, 24, 2, 24 ), ( 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24 ) }
Outer automorphisms :: reflexible
Dual of E10.722
Graph:: bipartite
	v = 48 e = 144 f = 78
	degree seq :: [ 4^36, 12^12 ]

E10.714 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 12})
Quotient :: dipole
Aut^+ = C3 x D24 (small group id <72, 28>)
Aut   = D24 x S3 (small group id <144, 144>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, (R * Y1)^2, (R * Y3)^2, (Y2^-1 * Y1^-1)^2, (Y3^-1 * Y1^-1)^2, Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-2, Y2 * Y1^-1 * Y2 * Y1^3, (Y2^2 * Y1^-1)^2, Y2^12 ]
Map::
	R = (1, 73, 2, 74, 6, 78, 16, 88, 13, 85, 4, 76)(3, 75, 9, 81, 17, 89, 8, 80, 21, 93, 11, 83)(5, 77, 14, 86, 18, 90, 12, 84, 20, 92, 7, 79)(10, 82, 24, 96, 29, 101, 23, 95, 33, 105, 22, 94)(15, 87, 26, 98, 30, 102, 19, 91, 31, 103, 27, 99)(25, 97, 34, 106, 41, 113, 36, 108, 45, 117, 35, 107)(28, 100, 32, 104, 42, 114, 39, 111, 43, 115, 38, 110)(37, 109, 47, 119, 53, 125, 46, 118, 57, 129, 48, 120)(40, 112, 51, 123, 54, 126, 50, 122, 55, 127, 44, 116)(49, 121, 60, 132, 64, 136, 59, 131, 68, 140, 58, 130)(52, 124, 62, 134, 65, 137, 56, 128, 66, 138, 63, 135)(61, 133, 67, 139, 71, 143, 70, 142, 72, 144, 69, 141)(145, 217, 147, 219, 154, 226, 169, 241, 181, 253, 193, 265, 205, 277, 196, 268, 184, 256, 172, 244, 159, 231, 149, 221)(146, 218, 151, 223, 163, 235, 176, 248, 188, 260, 200, 272, 211, 283, 202, 274, 190, 262, 178, 250, 166, 238, 152, 224)(148, 220, 156, 228, 170, 242, 182, 254, 194, 266, 206, 278, 213, 285, 203, 275, 191, 263, 179, 251, 167, 239, 153, 225)(150, 222, 161, 233, 173, 245, 185, 257, 197, 269, 208, 280, 215, 287, 209, 281, 198, 270, 186, 258, 174, 246, 162, 234)(155, 227, 160, 232, 158, 230, 171, 243, 183, 255, 195, 267, 207, 279, 214, 286, 204, 276, 192, 264, 180, 252, 168, 240)(157, 229, 165, 237, 177, 249, 189, 261, 201, 273, 212, 284, 216, 288, 210, 282, 199, 271, 187, 259, 175, 247, 164, 236)
	L = (1, 147)(2, 151)(3, 154)(4, 156)(5, 145)(6, 161)(7, 163)(8, 146)(9, 148)(10, 169)(11, 160)(12, 170)(13, 165)(14, 171)(15, 149)(16, 158)(17, 173)(18, 150)(19, 176)(20, 157)(21, 177)(22, 152)(23, 153)(24, 155)(25, 181)(26, 182)(27, 183)(28, 159)(29, 185)(30, 162)(31, 164)(32, 188)(33, 189)(34, 166)(35, 167)(36, 168)(37, 193)(38, 194)(39, 195)(40, 172)(41, 197)(42, 174)(43, 175)(44, 200)(45, 201)(46, 178)(47, 179)(48, 180)(49, 205)(50, 206)(51, 207)(52, 184)(53, 208)(54, 186)(55, 187)(56, 211)(57, 212)(58, 190)(59, 191)(60, 192)(61, 196)(62, 213)(63, 214)(64, 215)(65, 198)(66, 199)(67, 202)(68, 216)(69, 203)(70, 204)(71, 209)(72, 210)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4 ), ( 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 E10.717
Graph:: bipartite
	v = 18 e = 144 f = 108
	degree seq :: [ 12^12, 24^6 ]

E10.715 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 12})
Quotient :: dipole
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 * Y3^-1, (Y2^-1 * Y1^-1)^2, (R * Y3)^2, (R * Y1)^2, (Y3^-1 * Y1^-1)^2, (Y2^-1 * Y1)^2, Y1^6, Y2^12 ]
Map::
	R = (1, 73, 2, 74, 6, 78, 14, 86, 12, 84, 4, 76)(3, 75, 9, 81, 19, 91, 26, 98, 15, 87, 8, 80)(5, 77, 11, 83, 22, 94, 25, 97, 16, 88, 7, 79)(10, 82, 18, 90, 27, 99, 38, 110, 31, 103, 20, 92)(13, 85, 17, 89, 28, 100, 37, 109, 34, 106, 23, 95)(21, 93, 32, 104, 43, 115, 50, 122, 39, 111, 30, 102)(24, 96, 35, 107, 46, 118, 49, 121, 40, 112, 29, 101)(33, 105, 42, 114, 51, 123, 61, 133, 55, 127, 44, 116)(36, 108, 41, 113, 52, 124, 60, 132, 58, 130, 47, 119)(45, 117, 56, 128, 65, 137, 69, 141, 62, 134, 54, 126)(48, 120, 59, 131, 67, 139, 68, 140, 63, 135, 53, 125)(57, 129, 64, 136, 70, 142, 72, 144, 71, 143, 66, 138)(145, 217, 147, 219, 154, 226, 165, 237, 177, 249, 189, 261, 201, 273, 192, 264, 180, 252, 168, 240, 157, 229, 149, 221)(146, 218, 151, 223, 161, 233, 173, 245, 185, 257, 197, 269, 208, 280, 198, 270, 186, 258, 174, 246, 162, 234, 152, 224)(148, 220, 155, 227, 167, 239, 179, 251, 191, 263, 203, 275, 210, 282, 200, 272, 188, 260, 176, 248, 164, 236, 153, 225)(150, 222, 159, 231, 171, 243, 183, 255, 195, 267, 206, 278, 214, 286, 207, 279, 196, 268, 184, 256, 172, 244, 160, 232)(156, 228, 163, 235, 175, 247, 187, 259, 199, 271, 209, 281, 215, 287, 211, 283, 202, 274, 190, 262, 178, 250, 166, 238)(158, 230, 169, 241, 181, 253, 193, 265, 204, 276, 212, 284, 216, 288, 213, 285, 205, 277, 194, 266, 182, 254, 170, 242)
	L = (1, 147)(2, 151)(3, 154)(4, 155)(5, 145)(6, 159)(7, 161)(8, 146)(9, 148)(10, 165)(11, 167)(12, 163)(13, 149)(14, 169)(15, 171)(16, 150)(17, 173)(18, 152)(19, 175)(20, 153)(21, 177)(22, 156)(23, 179)(24, 157)(25, 181)(26, 158)(27, 183)(28, 160)(29, 185)(30, 162)(31, 187)(32, 164)(33, 189)(34, 166)(35, 191)(36, 168)(37, 193)(38, 170)(39, 195)(40, 172)(41, 197)(42, 174)(43, 199)(44, 176)(45, 201)(46, 178)(47, 203)(48, 180)(49, 204)(50, 182)(51, 206)(52, 184)(53, 208)(54, 186)(55, 209)(56, 188)(57, 192)(58, 190)(59, 210)(60, 212)(61, 194)(62, 214)(63, 196)(64, 198)(65, 215)(66, 200)(67, 202)(68, 216)(69, 205)(70, 207)(71, 211)(72, 213)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4 ), ( 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 E10.718
Graph:: bipartite
	v = 18 e = 144 f = 108
	degree seq :: [ 12^12, 24^6 ]

E10.716 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 12})
Quotient :: dipole
Aut^+ = C3 x ((C6 x C2) : C2) (small group id <72, 30>)
Aut   = (C2 x S3 x S3) : C2 (small group id <144, 154>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, (R * Y1)^2, (R * Y3)^2, (Y1^-1 * Y2^-1)^2, (Y3^-1 * Y1^-1)^2, Y2 * Y1^-1 * Y2^-3 * Y1^-1, Y2^-2 * Y1^-1 * Y2 * Y1^-1 * Y2^-1, Y1^6, Y1^-1 * Y2^-1 * Y1^2 * Y2^-2 * Y1^2 * Y2^-1 * Y1^-1, Y1^-1 * Y2 * Y1^-1 * Y2^9 ]
Map::
	R = (1, 73, 2, 74, 6, 78, 16, 88, 13, 85, 4, 76)(3, 75, 9, 81, 23, 95, 43, 115, 28, 100, 11, 83)(5, 77, 14, 86, 31, 103, 40, 112, 20, 92, 7, 79)(8, 80, 21, 93, 41, 113, 58, 130, 36, 108, 17, 89)(10, 82, 19, 91, 35, 107, 53, 125, 49, 121, 26, 98)(12, 84, 29, 101, 51, 123, 67, 139, 47, 119, 25, 97)(15, 87, 22, 94, 38, 110, 56, 128, 44, 116, 24, 96)(18, 90, 37, 109, 59, 131, 69, 141, 54, 126, 33, 105)(27, 99, 39, 111, 57, 129, 68, 140, 65, 137, 46, 118)(30, 102, 34, 106, 55, 127, 70, 142, 64, 136, 48, 120)(32, 104, 42, 114, 60, 132, 71, 143, 63, 135, 45, 117)(50, 122, 61, 133, 52, 124, 62, 134, 72, 144, 66, 138)(145, 217, 147, 219, 154, 226, 169, 241, 190, 262, 208, 280, 216, 288, 203, 275, 186, 258, 165, 237, 159, 231, 149, 221)(146, 218, 151, 223, 163, 235, 155, 227, 171, 243, 191, 263, 210, 282, 214, 286, 204, 276, 181, 253, 166, 238, 152, 224)(148, 220, 156, 228, 170, 242, 192, 264, 209, 281, 213, 285, 206, 278, 185, 257, 176, 248, 158, 230, 168, 240, 153, 225)(150, 222, 161, 233, 179, 251, 164, 236, 183, 255, 172, 244, 194, 266, 211, 283, 215, 287, 199, 271, 182, 254, 162, 234)(157, 229, 174, 246, 193, 265, 198, 270, 212, 284, 202, 274, 196, 268, 175, 247, 189, 261, 167, 239, 188, 260, 173, 245)(160, 232, 177, 249, 197, 269, 180, 252, 201, 273, 184, 256, 205, 277, 187, 259, 207, 279, 195, 267, 200, 272, 178, 250)
	L = (1, 147)(2, 151)(3, 154)(4, 156)(5, 145)(6, 161)(7, 163)(8, 146)(9, 148)(10, 169)(11, 171)(12, 170)(13, 174)(14, 168)(15, 149)(16, 177)(17, 179)(18, 150)(19, 155)(20, 183)(21, 159)(22, 152)(23, 188)(24, 153)(25, 190)(26, 192)(27, 191)(28, 194)(29, 157)(30, 193)(31, 189)(32, 158)(33, 197)(34, 160)(35, 164)(36, 201)(37, 166)(38, 162)(39, 172)(40, 205)(41, 176)(42, 165)(43, 207)(44, 173)(45, 167)(46, 208)(47, 210)(48, 209)(49, 198)(50, 211)(51, 200)(52, 175)(53, 180)(54, 212)(55, 182)(56, 178)(57, 184)(58, 196)(59, 186)(60, 181)(61, 187)(62, 185)(63, 195)(64, 216)(65, 213)(66, 214)(67, 215)(68, 202)(69, 206)(70, 204)(71, 199)(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) :: { ( 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4 ), ( 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 E10.719
Graph:: bipartite
	v = 18 e = 144 f = 108
	degree seq :: [ 12^12, 24^6 ]

E10.717 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 12})
Quotient :: dipole
Aut^+ = C3 x D24 (small group id <72, 28>)
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, (Y3^3 * Y2)^2, Y3^-1 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3^-1 * Y2, 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, 174, 246)(163, 235, 168, 240)(164, 236, 172, 244)(166, 238, 170, 242)(175, 247, 185, 257)(176, 248, 189, 261)(177, 249, 183, 255)(178, 250, 188, 260)(179, 251, 191, 263)(180, 252, 186, 258)(181, 253, 184, 256)(182, 254, 194, 266)(187, 259, 197, 269)(190, 262, 200, 272)(192, 264, 201, 273)(193, 265, 204, 276)(195, 267, 198, 270)(196, 268, 207, 279)(199, 271, 209, 281)(202, 274, 212, 284)(203, 275, 211, 283)(205, 277, 210, 282)(206, 278, 208, 280)(213, 285, 215, 287)(214, 286, 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, 175)(16, 151)(17, 177)(18, 179)(19, 180)(20, 153)(21, 181)(22, 154)(23, 183)(24, 155)(25, 185)(26, 187)(27, 188)(28, 157)(29, 189)(30, 158)(31, 165)(32, 160)(33, 164)(34, 161)(35, 193)(36, 194)(37, 195)(38, 166)(39, 173)(40, 168)(41, 172)(42, 169)(43, 199)(44, 200)(45, 201)(46, 174)(47, 176)(48, 178)(49, 205)(50, 206)(51, 207)(52, 182)(53, 184)(54, 186)(55, 210)(56, 211)(57, 212)(58, 190)(59, 191)(60, 192)(61, 196)(62, 214)(63, 213)(64, 197)(65, 198)(66, 202)(67, 216)(68, 215)(69, 203)(70, 204)(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) :: { ( 12, 24 ), ( 12, 24, 12, 24 ) }
Outer automorphisms :: reflexible
Dual of E10.714
Graph:: simple bipartite
	v = 108 e = 144 f = 18
	degree seq :: [ 2^72, 4^36 ]

E10.718 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 12})
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, Y2^2, R^2, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, (Y3^-2 * Y2)^2, Y3^-1 * Y2 * Y3^-1 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2, Y3^4 * Y2 * Y3^-8 * Y2, (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, 158, 230)(154, 226, 156, 228)(159, 231, 169, 241)(160, 232, 170, 242)(161, 233, 171, 243)(162, 234, 173, 245)(163, 235, 174, 246)(164, 236, 176, 248)(165, 237, 177, 249)(166, 238, 178, 250)(167, 239, 180, 252)(168, 240, 181, 253)(172, 244, 182, 254)(175, 247, 179, 251)(183, 255, 192, 264)(184, 256, 191, 263)(185, 257, 196, 268)(186, 258, 199, 271)(187, 259, 200, 272)(188, 260, 193, 265)(189, 261, 202, 274)(190, 262, 203, 275)(194, 266, 204, 276)(195, 267, 205, 277)(197, 269, 207, 279)(198, 270, 208, 280)(201, 273, 206, 278)(209, 281, 214, 286)(210, 282, 215, 287)(211, 283, 212, 284)(213, 285, 216, 288)
	L = (1, 147)(2, 149)(3, 152)(4, 145)(5, 156)(6, 146)(7, 159)(8, 161)(9, 162)(10, 148)(11, 164)(12, 166)(13, 167)(14, 150)(15, 153)(16, 151)(17, 172)(18, 174)(19, 154)(20, 157)(21, 155)(22, 179)(23, 181)(24, 158)(25, 183)(26, 185)(27, 160)(28, 187)(29, 184)(30, 189)(31, 163)(32, 191)(33, 193)(34, 165)(35, 195)(36, 192)(37, 197)(38, 168)(39, 170)(40, 169)(41, 199)(42, 171)(43, 201)(44, 173)(45, 203)(46, 175)(47, 177)(48, 176)(49, 204)(50, 178)(51, 206)(52, 180)(53, 208)(54, 182)(55, 209)(56, 186)(57, 190)(58, 188)(59, 210)(60, 212)(61, 194)(62, 198)(63, 196)(64, 213)(65, 215)(66, 200)(67, 202)(68, 216)(69, 205)(70, 207)(71, 211)(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) :: { ( 12, 24 ), ( 12, 24, 12, 24 ) }
Outer automorphisms :: reflexible
Dual of E10.715
Graph:: simple bipartite
	v = 108 e = 144 f = 18
	degree seq :: [ 2^72, 4^36 ]

E10.719 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 12})
Quotient :: dipole
Aut^+ = C3 x ((C6 x C2) : C2) (small group id <72, 30>)
Aut   = (C2 x S3 x S3) : C2 (small group id <144, 154>)
|r| :: 2
Presentation :: [ Y1, Y2^2, R^2, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y3^-2 * Y2 * Y3^2 * Y2, (Y3 * Y2)^6, (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, 156, 228)(154, 226, 158, 230)(159, 231, 169, 241)(160, 232, 171, 243)(161, 233, 170, 242)(162, 234, 173, 245)(163, 235, 174, 246)(164, 236, 176, 248)(165, 237, 178, 250)(166, 238, 177, 249)(167, 239, 180, 252)(168, 240, 181, 253)(172, 244, 179, 251)(175, 247, 182, 254)(183, 255, 196, 268)(184, 256, 200, 272)(185, 257, 199, 271)(186, 258, 202, 274)(187, 259, 201, 273)(188, 260, 191, 263)(189, 261, 204, 276)(190, 262, 205, 277)(192, 264, 207, 279)(193, 265, 206, 278)(194, 266, 209, 281)(195, 267, 208, 280)(197, 269, 211, 283)(198, 270, 212, 284)(203, 275, 210, 282)(213, 285, 216, 288)(214, 286, 215, 287)
	L = (1, 147)(2, 149)(3, 152)(4, 145)(5, 156)(6, 146)(7, 159)(8, 161)(9, 160)(10, 148)(11, 164)(12, 166)(13, 165)(14, 150)(15, 170)(16, 151)(17, 172)(18, 153)(19, 154)(20, 177)(21, 155)(22, 179)(23, 157)(24, 158)(25, 183)(26, 185)(27, 184)(28, 187)(29, 186)(30, 162)(31, 163)(32, 191)(33, 193)(34, 192)(35, 195)(36, 194)(37, 167)(38, 168)(39, 199)(40, 169)(41, 201)(42, 171)(43, 203)(44, 173)(45, 174)(46, 175)(47, 206)(48, 176)(49, 208)(50, 178)(51, 210)(52, 180)(53, 181)(54, 182)(55, 209)(56, 211)(57, 214)(58, 213)(59, 190)(60, 188)(61, 189)(62, 202)(63, 204)(64, 216)(65, 215)(66, 198)(67, 196)(68, 197)(69, 200)(70, 205)(71, 207)(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) :: { ( 12, 24 ), ( 12, 24, 12, 24 ) }
Outer automorphisms :: reflexible
Dual of E10.716
Graph:: simple bipartite
	v = 108 e = 144 f = 18
	degree seq :: [ 2^72, 4^36 ]

E10.720 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 12})
Quotient :: dipole
Aut^+ = C3 x D24 (small group id <72, 28>)
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^-1 * Y3^-2 * Y1 * Y3, (Y1^-1, Y3^-1, Y1^-1), Y3 * Y1^-3 * Y3^-1 * Y1^-3, (Y3^-1 * Y1^-1)^6, Y1^12 ]
Map:: polytopal
	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, 31, 103, 47, 119, 59, 131, 64, 136, 57, 129, 41, 113, 24, 96, 18, 90, 8, 80)(6, 78, 13, 85, 27, 99, 21, 93, 37, 109, 51, 123, 63, 135, 67, 139, 55, 127, 40, 112, 30, 102, 14, 86)(9, 81, 19, 91, 36, 108, 50, 122, 62, 134, 65, 137, 54, 126, 44, 116, 26, 98, 12, 84, 25, 97, 20, 92)(16, 88, 28, 100, 42, 114, 35, 107, 46, 118, 58, 130, 68, 140, 72, 144, 70, 142, 60, 132, 49, 121, 33, 105)(17, 89, 29, 101, 43, 115, 56, 128, 66, 138, 71, 143, 69, 141, 61, 133, 48, 120, 32, 104, 45, 117, 34, 106)(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, 176)(16, 151)(17, 152)(18, 179)(19, 177)(20, 178)(21, 154)(22, 175)(23, 184)(24, 155)(25, 186)(26, 187)(27, 189)(28, 157)(29, 158)(30, 190)(31, 166)(32, 159)(33, 163)(34, 164)(35, 162)(36, 192)(37, 193)(38, 194)(39, 198)(40, 167)(41, 200)(42, 169)(43, 170)(44, 202)(45, 171)(46, 174)(47, 204)(48, 180)(49, 181)(50, 182)(51, 205)(52, 207)(53, 208)(54, 183)(55, 210)(56, 185)(57, 212)(58, 188)(59, 213)(60, 191)(61, 195)(62, 214)(63, 196)(64, 197)(65, 215)(66, 199)(67, 216)(68, 201)(69, 203)(70, 206)(71, 209)(72, 211)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 4, 12 ), ( 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 E10.711
Graph:: simple bipartite
	v = 78 e = 144 f = 48
	degree seq :: [ 2^72, 24^6 ]

E10.721 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 12})
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, 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)^6, Y1^12 ]
Map:: polytopal
	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, 60, 132, 49, 121, 33, 105, 22, 94, 12, 84, 8, 80)(6, 78, 13, 85, 9, 81, 18, 90, 29, 101, 44, 116, 58, 130, 61, 133, 48, 120, 34, 106, 21, 93, 14, 86)(16, 88, 26, 98, 17, 89, 28, 100, 35, 107, 51, 123, 62, 134, 69, 141, 65, 137, 56, 128, 40, 112, 27, 99)(23, 95, 36, 108, 24, 96, 38, 110, 50, 122, 63, 135, 68, 140, 67, 139, 59, 131, 45, 117, 30, 102, 37, 109)(41, 113, 53, 125, 42, 114, 57, 129, 66, 138, 71, 143, 72, 144, 70, 142, 64, 136, 54, 126, 43, 115, 52, 124)(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, 203)(45, 201)(46, 202)(47, 204)(48, 176)(49, 206)(50, 178)(51, 208)(52, 180)(53, 181)(54, 182)(55, 209)(56, 210)(57, 189)(58, 190)(59, 188)(60, 191)(61, 212)(62, 193)(63, 214)(64, 195)(65, 199)(66, 200)(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, 12 ), ( 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 E10.712
Graph:: simple bipartite
	v = 78 e = 144 f = 48
	degree seq :: [ 2^72, 24^6 ]

E10.722 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 12})
Quotient :: dipole
Aut^+ = C3 x ((C6 x C2) : C2) (small group id <72, 30>)
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, (Y3^-1 * Y1^-1)^6, Y1^12 ]
Map:: polytopal
	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, 62, 134, 59, 131, 43, 115, 28, 100, 17, 89, 8, 80)(6, 78, 13, 85, 21, 93, 34, 106, 48, 120, 63, 135, 61, 133, 45, 117, 30, 102, 18, 90, 9, 81, 14, 86)(15, 87, 25, 97, 35, 107, 51, 123, 64, 136, 72, 144, 70, 142, 58, 130, 42, 114, 27, 99, 16, 88, 26, 98)(23, 95, 36, 108, 50, 122, 65, 137, 71, 143, 69, 141, 60, 132, 44, 116, 29, 101, 38, 110, 24, 96, 37, 109)(39, 111, 55, 127, 66, 138, 54, 126, 68, 140, 53, 125, 67, 139, 52, 124, 41, 113, 57, 129, 40, 112, 56, 128)(145, 217)(146, 218)(147, 219)(148, 220)(149, 221)(150, 222)(151, 223)(152, 224)(153, 225)(154, 226)(155, 227)(156, 228)(157, 229)(158, 230)(159, 231)(160, 232)(161, 233)(162, 234)(163, 235)(164, 236)(165, 237)(166, 238)(167, 239)(168, 240)(169, 241)(170, 242)(171, 243)(172, 244)(173, 245)(174, 246)(175, 247)(176, 248)(177, 249)(178, 250)(179, 251)(180, 252)(181, 253)(182, 254)(183, 255)(184, 256)(185, 257)(186, 258)(187, 259)(188, 260)(189, 261)(190, 262)(191, 263)(192, 264)(193, 265)(194, 266)(195, 267)(196, 268)(197, 269)(198, 270)(199, 271)(200, 272)(201, 273)(202, 274)(203, 275)(204, 276)(205, 277)(206, 278)(207, 279)(208, 280)(209, 281)(210, 282)(211, 283)(212, 284)(213, 285)(214, 286)(215, 287)(216, 288)
	L = (1, 147)(2, 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, 204)(46, 205)(47, 206)(48, 176)(49, 208)(50, 178)(51, 210)(52, 180)(53, 181)(54, 182)(55, 188)(56, 213)(57, 209)(58, 211)(59, 214)(60, 189)(61, 190)(62, 191)(63, 215)(64, 193)(65, 201)(66, 195)(67, 202)(68, 216)(69, 200)(70, 203)(71, 207)(72, 212)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 4, 12 ), ( 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E10.713
Graph:: simple bipartite
	v = 78 e = 144 f = 48
	degree seq :: [ 2^72, 24^6 ]

E10.723 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 12})
Quotient :: dipole
Aut^+ = C3 x D24 (small group id <72, 28>)
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^-1)^2, Y2 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2 * Y1, (Y3 * Y2^-1)^6, Y2^12 ]
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, 30, 102)(19, 91, 24, 96)(20, 92, 28, 100)(22, 94, 26, 98)(31, 103, 41, 113)(32, 104, 45, 117)(33, 105, 39, 111)(34, 106, 44, 116)(35, 107, 47, 119)(36, 108, 42, 114)(37, 109, 40, 112)(38, 110, 50, 122)(43, 115, 53, 125)(46, 118, 56, 128)(48, 120, 57, 129)(49, 121, 60, 132)(51, 123, 54, 126)(52, 124, 63, 135)(55, 127, 65, 137)(58, 130, 68, 140)(59, 131, 67, 139)(61, 133, 66, 138)(62, 134, 64, 136)(69, 141, 71, 143)(70, 142, 72, 144)(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, 165, 237, 181, 253, 195, 267, 207, 279, 213, 285, 203, 275, 191, 263, 176, 248, 160, 232)(153, 225, 163, 235, 180, 252, 194, 266, 206, 278, 214, 286, 204, 276, 192, 264, 178, 250, 161, 233, 177, 249, 164, 236)(155, 227, 167, 239, 183, 255, 173, 245, 189, 261, 201, 273, 212, 284, 215, 287, 208, 280, 197, 269, 184, 256, 168, 240)(157, 229, 171, 243, 188, 260, 200, 272, 211, 283, 216, 288, 209, 281, 198, 270, 186, 258, 169, 241, 185, 257, 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, 174)(19, 168)(20, 172)(21, 154)(22, 170)(23, 159)(24, 163)(25, 156)(26, 166)(27, 160)(28, 164)(29, 158)(30, 162)(31, 185)(32, 189)(33, 183)(34, 188)(35, 191)(36, 186)(37, 184)(38, 194)(39, 177)(40, 181)(41, 175)(42, 180)(43, 197)(44, 178)(45, 176)(46, 200)(47, 179)(48, 201)(49, 204)(50, 182)(51, 198)(52, 207)(53, 187)(54, 195)(55, 209)(56, 190)(57, 192)(58, 212)(59, 211)(60, 193)(61, 210)(62, 208)(63, 196)(64, 206)(65, 199)(66, 205)(67, 203)(68, 202)(69, 215)(70, 216)(71, 213)(72, 214)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 2, 12, 2, 12 ), ( 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 E10.726
Graph:: bipartite
	v = 42 e = 144 f = 84
	degree seq :: [ 4^36, 24^6 ]

E10.724 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 12})
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, R^2, Y3^-1 * Y1, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, (Y2^2 * Y1)^2, Y2^12, (Y3 * Y2^-1)^6 ]
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, 48, 120)(40, 112, 47, 119)(41, 113, 52, 124)(42, 114, 55, 127)(43, 115, 56, 128)(44, 116, 49, 121)(45, 117, 58, 130)(46, 118, 59, 131)(50, 122, 60, 132)(51, 123, 61, 133)(53, 125, 63, 135)(54, 126, 64, 136)(57, 129, 62, 134)(65, 137, 70, 142)(66, 138, 71, 143)(67, 139, 68, 140)(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, 153, 225, 162, 234, 174, 246, 189, 261, 203, 275, 210, 282, 200, 272, 186, 258, 171, 243, 160, 232)(155, 227, 164, 236, 157, 229, 167, 239, 181, 253, 197, 269, 208, 280, 213, 285, 205, 277, 194, 266, 178, 250, 165, 237)(169, 241, 183, 255, 170, 242, 185, 257, 199, 271, 209, 281, 215, 287, 211, 283, 202, 274, 188, 260, 173, 245, 184, 256)(176, 248, 191, 263, 177, 249, 193, 265, 204, 276, 212, 284, 216, 288, 214, 286, 207, 279, 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, 192)(40, 191)(41, 196)(42, 199)(43, 200)(44, 193)(45, 202)(46, 203)(47, 184)(48, 183)(49, 188)(50, 204)(51, 205)(52, 185)(53, 207)(54, 208)(55, 186)(56, 187)(57, 206)(58, 189)(59, 190)(60, 194)(61, 195)(62, 201)(63, 197)(64, 198)(65, 214)(66, 215)(67, 212)(68, 211)(69, 216)(70, 209)(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, 12, 2, 12 ), ( 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 E10.727
Graph:: bipartite
	v = 42 e = 144 f = 84
	degree seq :: [ 4^36, 24^6 ]

E10.725 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 12})
Quotient :: dipole
Aut^+ = C3 x ((C6 x C2) : C2) (small group id <72, 30>)
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 * Y2^2 * Y1 * Y2^-1, Y2^12, (Y3 * Y2^-1)^6 ]
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, 52, 124)(40, 112, 56, 128)(41, 113, 55, 127)(42, 114, 58, 130)(43, 115, 57, 129)(44, 116, 47, 119)(45, 117, 60, 132)(46, 118, 61, 133)(48, 120, 63, 135)(49, 121, 62, 134)(50, 122, 65, 137)(51, 123, 64, 136)(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, 170, 242, 185, 257, 201, 273, 214, 286, 205, 277, 189, 261, 174, 246, 162, 234, 153, 225, 160, 232)(155, 227, 164, 236, 177, 249, 193, 265, 208, 280, 216, 288, 212, 284, 197, 269, 181, 253, 167, 239, 157, 229, 165, 237)(169, 241, 183, 255, 199, 271, 209, 281, 215, 287, 207, 279, 204, 276, 188, 260, 173, 245, 186, 258, 171, 243, 184, 256)(176, 248, 191, 263, 206, 278, 202, 274, 213, 285, 200, 272, 211, 283, 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, 196)(40, 200)(41, 199)(42, 202)(43, 201)(44, 191)(45, 204)(46, 205)(47, 188)(48, 207)(49, 206)(50, 209)(51, 208)(52, 183)(53, 211)(54, 212)(55, 185)(56, 184)(57, 187)(58, 186)(59, 210)(60, 189)(61, 190)(62, 193)(63, 192)(64, 195)(65, 194)(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, 12, 2, 12 ), ( 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 E10.728
Graph:: bipartite
	v = 42 e = 144 f = 84
	degree seq :: [ 4^36, 24^6 ]

E10.726 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 12})
Quotient :: dipole
Aut^+ = C3 x D24 (small group id <72, 28>)
Aut   = D24 x S3 (small group id <144, 144>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y1)^2, (R * Y3)^2, (Y3 * Y1)^2, (R * Y2 * Y3^-1)^2, Y3^-1 * Y1 * Y3^-1 * Y1^-3, Y3^-1 * Y1 * Y3^-1 * Y1^3, (Y3^-2 * Y1)^2, (Y3 * Y2^-1)^12 ]
Map:: polytopal
	R = (1, 73, 2, 74, 6, 78, 16, 88, 13, 85, 4, 76)(3, 75, 9, 81, 17, 89, 8, 80, 21, 93, 11, 83)(5, 77, 14, 86, 18, 90, 12, 84, 20, 92, 7, 79)(10, 82, 24, 96, 29, 101, 23, 95, 33, 105, 22, 94)(15, 87, 26, 98, 30, 102, 19, 91, 31, 103, 27, 99)(25, 97, 34, 106, 41, 113, 36, 108, 45, 117, 35, 107)(28, 100, 32, 104, 42, 114, 39, 111, 43, 115, 38, 110)(37, 109, 47, 119, 53, 125, 46, 118, 57, 129, 48, 120)(40, 112, 51, 123, 54, 126, 50, 122, 55, 127, 44, 116)(49, 121, 60, 132, 64, 136, 59, 131, 68, 140, 58, 130)(52, 124, 62, 134, 65, 137, 56, 128, 66, 138, 63, 135)(61, 133, 67, 139, 71, 143, 70, 142, 72, 144, 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, 163)(8, 146)(9, 148)(10, 169)(11, 160)(12, 170)(13, 165)(14, 171)(15, 149)(16, 158)(17, 173)(18, 150)(19, 176)(20, 157)(21, 177)(22, 152)(23, 153)(24, 155)(25, 181)(26, 182)(27, 183)(28, 159)(29, 185)(30, 162)(31, 164)(32, 188)(33, 189)(34, 166)(35, 167)(36, 168)(37, 193)(38, 194)(39, 195)(40, 172)(41, 197)(42, 174)(43, 175)(44, 200)(45, 201)(46, 178)(47, 179)(48, 180)(49, 205)(50, 206)(51, 207)(52, 184)(53, 208)(54, 186)(55, 187)(56, 211)(57, 212)(58, 190)(59, 191)(60, 192)(61, 196)(62, 213)(63, 214)(64, 215)(65, 198)(66, 199)(67, 202)(68, 216)(69, 203)(70, 204)(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 ) }
Outer automorphisms :: reflexible
Dual of E10.723
Graph:: simple bipartite
	v = 84 e = 144 f = 42
	degree seq :: [ 2^72, 12^12 ]

E10.727 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 12})
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, R^2, (R * Y1)^2, (R * Y3)^2, (Y3 * Y1^-1)^2, (Y3^-1 * Y1^-1)^2, (R * Y2 * Y3^-1)^2, Y1^6, (Y3 * Y2^-1)^12 ]
Map:: polytopal
	R = (1, 73, 2, 74, 6, 78, 14, 86, 12, 84, 4, 76)(3, 75, 9, 81, 19, 91, 26, 98, 15, 87, 8, 80)(5, 77, 11, 83, 22, 94, 25, 97, 16, 88, 7, 79)(10, 82, 18, 90, 27, 99, 38, 110, 31, 103, 20, 92)(13, 85, 17, 89, 28, 100, 37, 109, 34, 106, 23, 95)(21, 93, 32, 104, 43, 115, 50, 122, 39, 111, 30, 102)(24, 96, 35, 107, 46, 118, 49, 121, 40, 112, 29, 101)(33, 105, 42, 114, 51, 123, 61, 133, 55, 127, 44, 116)(36, 108, 41, 113, 52, 124, 60, 132, 58, 130, 47, 119)(45, 117, 56, 128, 65, 137, 69, 141, 62, 134, 54, 126)(48, 120, 59, 131, 67, 139, 68, 140, 63, 135, 53, 125)(57, 129, 64, 136, 70, 142, 72, 144, 71, 143, 66, 138)(145, 217)(146, 218)(147, 219)(148, 220)(149, 221)(150, 222)(151, 223)(152, 224)(153, 225)(154, 226)(155, 227)(156, 228)(157, 229)(158, 230)(159, 231)(160, 232)(161, 233)(162, 234)(163, 235)(164, 236)(165, 237)(166, 238)(167, 239)(168, 240)(169, 241)(170, 242)(171, 243)(172, 244)(173, 245)(174, 246)(175, 247)(176, 248)(177, 249)(178, 250)(179, 251)(180, 252)(181, 253)(182, 254)(183, 255)(184, 256)(185, 257)(186, 258)(187, 259)(188, 260)(189, 261)(190, 262)(191, 263)(192, 264)(193, 265)(194, 266)(195, 267)(196, 268)(197, 269)(198, 270)(199, 271)(200, 272)(201, 273)(202, 274)(203, 275)(204, 276)(205, 277)(206, 278)(207, 279)(208, 280)(209, 281)(210, 282)(211, 283)(212, 284)(213, 285)(214, 286)(215, 287)(216, 288)
	L = (1, 147)(2, 151)(3, 154)(4, 155)(5, 145)(6, 159)(7, 161)(8, 146)(9, 148)(10, 165)(11, 167)(12, 163)(13, 149)(14, 169)(15, 171)(16, 150)(17, 173)(18, 152)(19, 175)(20, 153)(21, 177)(22, 156)(23, 179)(24, 157)(25, 181)(26, 158)(27, 183)(28, 160)(29, 185)(30, 162)(31, 187)(32, 164)(33, 189)(34, 166)(35, 191)(36, 168)(37, 193)(38, 170)(39, 195)(40, 172)(41, 197)(42, 174)(43, 199)(44, 176)(45, 201)(46, 178)(47, 203)(48, 180)(49, 204)(50, 182)(51, 206)(52, 184)(53, 208)(54, 186)(55, 209)(56, 188)(57, 192)(58, 190)(59, 210)(60, 212)(61, 194)(62, 214)(63, 196)(64, 198)(65, 215)(66, 200)(67, 202)(68, 216)(69, 205)(70, 207)(71, 211)(72, 213)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 4, 24 ), ( 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24 ) }
Outer automorphisms :: reflexible
Dual of E10.724
Graph:: simple bipartite
	v = 84 e = 144 f = 42
	degree seq :: [ 2^72, 12^12 ]

E10.728 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 12})
Quotient :: dipole
Aut^+ = C3 x ((C6 x C2) : C2) (small group id <72, 30>)
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^-1 * Y1^-1)^2, Y3 * Y1^-1 * Y3^-3 * Y1^-1, Y1^-1 * Y3^-3 * Y1^-1 * Y3, (R * Y2 * Y3^-1)^2, Y1^6, Y1^-1 * Y3^-1 * Y1^2 * Y3^-2 * Y1^2 * Y3^-1 * Y1^-1, (Y3 * Y2^-1)^12 ]
Map:: polytopal
	R = (1, 73, 2, 74, 6, 78, 16, 88, 13, 85, 4, 76)(3, 75, 9, 81, 23, 95, 43, 115, 28, 100, 11, 83)(5, 77, 14, 86, 31, 103, 40, 112, 20, 92, 7, 79)(8, 80, 21, 93, 41, 113, 58, 130, 36, 108, 17, 89)(10, 82, 19, 91, 35, 107, 53, 125, 49, 121, 26, 98)(12, 84, 29, 101, 51, 123, 67, 139, 47, 119, 25, 97)(15, 87, 22, 94, 38, 110, 56, 128, 44, 116, 24, 96)(18, 90, 37, 109, 59, 131, 69, 141, 54, 126, 33, 105)(27, 99, 39, 111, 57, 129, 68, 140, 65, 137, 46, 118)(30, 102, 34, 106, 55, 127, 70, 142, 64, 136, 48, 120)(32, 104, 42, 114, 60, 132, 71, 143, 63, 135, 45, 117)(50, 122, 61, 133, 52, 124, 62, 134, 72, 144, 66, 138)(145, 217)(146, 218)(147, 219)(148, 220)(149, 221)(150, 222)(151, 223)(152, 224)(153, 225)(154, 226)(155, 227)(156, 228)(157, 229)(158, 230)(159, 231)(160, 232)(161, 233)(162, 234)(163, 235)(164, 236)(165, 237)(166, 238)(167, 239)(168, 240)(169, 241)(170, 242)(171, 243)(172, 244)(173, 245)(174, 246)(175, 247)(176, 248)(177, 249)(178, 250)(179, 251)(180, 252)(181, 253)(182, 254)(183, 255)(184, 256)(185, 257)(186, 258)(187, 259)(188, 260)(189, 261)(190, 262)(191, 263)(192, 264)(193, 265)(194, 266)(195, 267)(196, 268)(197, 269)(198, 270)(199, 271)(200, 272)(201, 273)(202, 274)(203, 275)(204, 276)(205, 277)(206, 278)(207, 279)(208, 280)(209, 281)(210, 282)(211, 283)(212, 284)(213, 285)(214, 286)(215, 287)(216, 288)
	L = (1, 147)(2, 151)(3, 154)(4, 156)(5, 145)(6, 161)(7, 163)(8, 146)(9, 148)(10, 169)(11, 171)(12, 170)(13, 174)(14, 168)(15, 149)(16, 177)(17, 179)(18, 150)(19, 155)(20, 183)(21, 159)(22, 152)(23, 188)(24, 153)(25, 190)(26, 192)(27, 191)(28, 194)(29, 157)(30, 193)(31, 189)(32, 158)(33, 197)(34, 160)(35, 164)(36, 201)(37, 166)(38, 162)(39, 172)(40, 205)(41, 176)(42, 165)(43, 207)(44, 173)(45, 167)(46, 208)(47, 210)(48, 209)(49, 198)(50, 211)(51, 200)(52, 175)(53, 180)(54, 212)(55, 182)(56, 178)(57, 184)(58, 196)(59, 186)(60, 181)(61, 187)(62, 185)(63, 195)(64, 216)(65, 213)(66, 214)(67, 215)(68, 202)(69, 206)(70, 204)(71, 199)(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, 24 ), ( 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24 ) }
Outer automorphisms :: reflexible
Dual of E10.725
Graph:: simple bipartite
	v = 84 e = 144 f = 42
	degree seq :: [ 2^72, 12^12 ]

E10.729 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 4, 40})
Quotient :: regular
Aut^+ = C40 : C2 (small group id <80, 6>)
Aut   = (C2 x D40) : C2 (small group id <160, 129>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, (T1^-2 * T2)^2, (T1 * T2)^4, (T2 * T1^8)^2, T2 * T1^-1 * T2 * T1^19 ]
Map:: non-degenerate
	R = (1, 2, 5, 11, 20, 29, 37, 45, 53, 61, 69, 77, 74, 66, 58, 50, 42, 34, 26, 16, 23, 17, 24, 32, 40, 48, 56, 64, 72, 80, 76, 68, 60, 52, 44, 36, 28, 19, 10, 4)(3, 7, 15, 25, 33, 41, 49, 57, 65, 73, 79, 70, 63, 54, 47, 38, 31, 21, 14, 6, 13, 9, 18, 27, 35, 43, 51, 59, 67, 75, 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, 77)(76, 79)
	local type(s) :: { ( 4^40 ) }
Outer automorphisms :: reflexible
Dual of E10.730
Transitivity :: ET+ VT+ AT+ REG+
Graph:: bipartite
	v = 2 e = 40 f = 20
	degree seq :: [ 40^2 ]

E10.730 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 4, 40})
Quotient :: regular
Aut^+ = C40 : C2 (small group id <80, 6>)
Aut   = (C2 x D40) : C2 (small group id <160, 129>)
|r| :: 2
Presentation :: [ T2^2, F^2, T1^4, (F * T1)^2, (F * T2)^2, (T1^-1 * T2 * T1^-1)^2, T2 * T1^-1 * T2 * T1^-1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1^-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, 65, 39, 68)(36, 69, 38, 72)(37, 67, 44, 73)(40, 71, 43, 75)(41, 76, 42, 66)(45, 74, 46, 70)(47, 78, 48, 80)(49, 63, 50, 61)(51, 79, 52, 77)(53, 64, 54, 62)(57, 60, 58, 59)
	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, 61)(34, 63)(35, 66)(36, 70)(37, 72)(38, 74)(39, 76)(40, 65)(41, 77)(42, 79)(43, 68)(44, 69)(45, 62)(46, 64)(47, 67)(48, 73)(49, 71)(50, 75)(51, 59)(52, 60)(53, 58)(54, 57)(55, 78)(56, 80)
	local type(s) :: { ( 40^4 ) }
Outer automorphisms :: reflexible
Dual of E10.729
Transitivity :: ET+ VT+ AT+ REG+
Graph:: bipartite
	v = 20 e = 40 f = 2
	degree seq :: [ 4^20 ]

E10.731 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 4, 40})
Quotient :: edge
Aut^+ = C40 : C2 (small group id <80, 6>)
Aut   = (C2 x D40) : C2 (small group id <160, 129>)
|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^-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, 58)(35, 60, 42, 61)(36, 62, 44, 63)(37, 64, 38, 65)(39, 66, 40, 67)(41, 68, 43, 59)(45, 69, 46, 70)(47, 71, 48, 72)(49, 73, 50, 74)(51, 75, 52, 76)(53, 77, 54, 78)(55, 79, 56, 80)(81, 82)(83, 87)(84, 89)(85, 90)(86, 92)(88, 91)(93, 97)(94, 98)(95, 99)(96, 100)(101, 105)(102, 106)(103, 107)(104, 108)(109, 113)(110, 114)(111, 123)(112, 121)(115, 139)(116, 137)(117, 142)(118, 143)(119, 140)(120, 141)(122, 148)(124, 138)(125, 144)(126, 145)(127, 146)(128, 147)(129, 149)(130, 150)(131, 151)(132, 152)(133, 153)(134, 154)(135, 155)(136, 156)(157, 160)(158, 159)
	L = (1, 81)(2, 82)(3, 83)(4, 84)(5, 85)(6, 86)(7, 87)(8, 88)(9, 89)(10, 90)(11, 91)(12, 92)(13, 93)(14, 94)(15, 95)(16, 96)(17, 97)(18, 98)(19, 99)(20, 100)(21, 101)(22, 102)(23, 103)(24, 104)(25, 105)(26, 106)(27, 107)(28, 108)(29, 109)(30, 110)(31, 111)(32, 112)(33, 113)(34, 114)(35, 115)(36, 116)(37, 117)(38, 118)(39, 119)(40, 120)(41, 121)(42, 122)(43, 123)(44, 124)(45, 125)(46, 126)(47, 127)(48, 128)(49, 129)(50, 130)(51, 131)(52, 132)(53, 133)(54, 134)(55, 135)(56, 136)(57, 137)(58, 138)(59, 139)(60, 140)(61, 141)(62, 142)(63, 143)(64, 144)(65, 145)(66, 146)(67, 147)(68, 148)(69, 149)(70, 150)(71, 151)(72, 152)(73, 153)(74, 154)(75, 155)(76, 156)(77, 157)(78, 158)(79, 159)(80, 160)
	local type(s) :: { ( 80, 80 ), ( 80^4 ) }
Outer automorphisms :: reflexible
Dual of E10.735
Transitivity :: ET+
Graph:: simple bipartite
	v = 60 e = 80 f = 2
	degree seq :: [ 2^40, 4^20 ]

E10.732 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 4, 40})
Quotient :: edge
Aut^+ = C40 : C2 (small group id <80, 6>)
Aut   = (C2 x D40) : C2 (small group id <160, 129>)
|r| :: 2
Presentation :: [ F^2, T1^4, (F * T2)^2, (F * T1)^2, (T2 * T1^-1)^2, (T2^-1 * T1^-1)^2, T2^19 * T1 * T2^-1 * T1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 3, 10, 18, 26, 34, 42, 50, 58, 66, 74, 78, 70, 62, 54, 46, 38, 30, 22, 14, 6, 13, 21, 29, 37, 45, 53, 61, 69, 77, 76, 68, 60, 52, 44, 36, 28, 20, 12, 5)(2, 7, 15, 23, 31, 39, 47, 55, 63, 71, 79, 73, 65, 57, 49, 41, 33, 25, 17, 9, 4, 11, 19, 27, 35, 43, 51, 59, 67, 75, 80, 72, 64, 56, 48, 40, 32, 24, 16, 8)(81, 82, 86, 84)(83, 89, 93, 88)(85, 91, 94, 87)(90, 96, 101, 97)(92, 95, 102, 99)(98, 105, 109, 104)(100, 107, 110, 103)(106, 112, 117, 113)(108, 111, 118, 115)(114, 121, 125, 120)(116, 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, 156, 159)
	L = (1, 81)(2, 82)(3, 83)(4, 84)(5, 85)(6, 86)(7, 87)(8, 88)(9, 89)(10, 90)(11, 91)(12, 92)(13, 93)(14, 94)(15, 95)(16, 96)(17, 97)(18, 98)(19, 99)(20, 100)(21, 101)(22, 102)(23, 103)(24, 104)(25, 105)(26, 106)(27, 107)(28, 108)(29, 109)(30, 110)(31, 111)(32, 112)(33, 113)(34, 114)(35, 115)(36, 116)(37, 117)(38, 118)(39, 119)(40, 120)(41, 121)(42, 122)(43, 123)(44, 124)(45, 125)(46, 126)(47, 127)(48, 128)(49, 129)(50, 130)(51, 131)(52, 132)(53, 133)(54, 134)(55, 135)(56, 136)(57, 137)(58, 138)(59, 139)(60, 140)(61, 141)(62, 142)(63, 143)(64, 144)(65, 145)(66, 146)(67, 147)(68, 148)(69, 149)(70, 150)(71, 151)(72, 152)(73, 153)(74, 154)(75, 155)(76, 156)(77, 157)(78, 158)(79, 159)(80, 160)
	local type(s) :: { ( 4^4 ), ( 4^40 ) }
Outer automorphisms :: reflexible
Dual of E10.736
Transitivity :: ET+
Graph:: bipartite
	v = 22 e = 80 f = 40
	degree seq :: [ 4^20, 40^2 ]

E10.733 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 4, 40})
Quotient :: edge
Aut^+ = C40 : C2 (small group id <80, 6>)
Aut   = (C2 x D40) : C2 (small group id <160, 129>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, (T1^-2 * T2)^2, (T2 * T1)^4, (T2 * T1^8)^2, T2 * T1^-1 * T2 * T1^19 ]
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, 77)(76, 79)(81, 82, 85, 91, 100, 109, 117, 125, 133, 141, 149, 157, 154, 146, 138, 130, 122, 114, 106, 96, 103, 97, 104, 112, 120, 128, 136, 144, 152, 160, 156, 148, 140, 132, 124, 116, 108, 99, 90, 84)(83, 87, 95, 105, 113, 121, 129, 137, 145, 153, 159, 150, 143, 134, 127, 118, 111, 101, 94, 86, 93, 89, 98, 107, 115, 123, 131, 139, 147, 155, 158, 151, 142, 135, 126, 119, 110, 102, 92, 88)
	L = (1, 81)(2, 82)(3, 83)(4, 84)(5, 85)(6, 86)(7, 87)(8, 88)(9, 89)(10, 90)(11, 91)(12, 92)(13, 93)(14, 94)(15, 95)(16, 96)(17, 97)(18, 98)(19, 99)(20, 100)(21, 101)(22, 102)(23, 103)(24, 104)(25, 105)(26, 106)(27, 107)(28, 108)(29, 109)(30, 110)(31, 111)(32, 112)(33, 113)(34, 114)(35, 115)(36, 116)(37, 117)(38, 118)(39, 119)(40, 120)(41, 121)(42, 122)(43, 123)(44, 124)(45, 125)(46, 126)(47, 127)(48, 128)(49, 129)(50, 130)(51, 131)(52, 132)(53, 133)(54, 134)(55, 135)(56, 136)(57, 137)(58, 138)(59, 139)(60, 140)(61, 141)(62, 142)(63, 143)(64, 144)(65, 145)(66, 146)(67, 147)(68, 148)(69, 149)(70, 150)(71, 151)(72, 152)(73, 153)(74, 154)(75, 155)(76, 156)(77, 157)(78, 158)(79, 159)(80, 160)
	local type(s) :: { ( 8, 8 ), ( 8^40 ) }
Outer automorphisms :: reflexible
Dual of E10.734
Transitivity :: ET+
Graph:: simple bipartite
	v = 42 e = 80 f = 20
	degree seq :: [ 2^40, 40^2 ]

E10.734 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 4, 40})
Quotient :: loop
Aut^+ = C40 : C2 (small group id <80, 6>)
Aut   = (C2 x D40) : C2 (small group id <160, 129>)
|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^-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, 81, 3, 83, 8, 88, 4, 84)(2, 82, 5, 85, 11, 91, 6, 86)(7, 87, 13, 93, 9, 89, 14, 94)(10, 90, 15, 95, 12, 92, 16, 96)(17, 97, 21, 101, 18, 98, 22, 102)(19, 99, 23, 103, 20, 100, 24, 104)(25, 105, 29, 109, 26, 106, 30, 110)(27, 107, 31, 111, 28, 108, 32, 112)(33, 113, 57, 137, 34, 114, 58, 138)(35, 115, 60, 140, 42, 122, 61, 141)(36, 116, 62, 142, 44, 124, 63, 143)(37, 117, 64, 144, 38, 118, 65, 145)(39, 119, 66, 146, 40, 120, 67, 147)(41, 121, 68, 148, 43, 123, 59, 139)(45, 125, 69, 149, 46, 126, 70, 150)(47, 127, 71, 151, 48, 128, 72, 152)(49, 129, 73, 153, 50, 130, 74, 154)(51, 131, 75, 155, 52, 132, 76, 156)(53, 133, 77, 157, 54, 134, 78, 158)(55, 135, 79, 159, 56, 136, 80, 160)
	L = (1, 82)(2, 81)(3, 87)(4, 89)(5, 90)(6, 92)(7, 83)(8, 91)(9, 84)(10, 85)(11, 88)(12, 86)(13, 97)(14, 98)(15, 99)(16, 100)(17, 93)(18, 94)(19, 95)(20, 96)(21, 105)(22, 106)(23, 107)(24, 108)(25, 101)(26, 102)(27, 103)(28, 104)(29, 113)(30, 114)(31, 121)(32, 123)(33, 109)(34, 110)(35, 139)(36, 138)(37, 142)(38, 143)(39, 140)(40, 141)(41, 111)(42, 148)(43, 112)(44, 137)(45, 144)(46, 145)(47, 146)(48, 147)(49, 149)(50, 150)(51, 151)(52, 152)(53, 153)(54, 154)(55, 155)(56, 156)(57, 124)(58, 116)(59, 115)(60, 119)(61, 120)(62, 117)(63, 118)(64, 125)(65, 126)(66, 127)(67, 128)(68, 122)(69, 129)(70, 130)(71, 131)(72, 132)(73, 133)(74, 134)(75, 135)(76, 136)(77, 160)(78, 159)(79, 158)(80, 157)
	local type(s) :: { ( 2, 40, 2, 40, 2, 40, 2, 40 ) }
Outer automorphisms :: reflexible
Dual of E10.733
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 20 e = 80 f = 42
	degree seq :: [ 8^20 ]

E10.735 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 4, 40})
Quotient :: loop
Aut^+ = C40 : C2 (small group id <80, 6>)
Aut   = (C2 x D40) : C2 (small group id <160, 129>)
|r| :: 2
Presentation :: [ F^2, T1^4, (F * T2)^2, (F * T1)^2, (T2 * T1^-1)^2, (T2^-1 * T1^-1)^2, T2^19 * T1 * T2^-1 * T1^-1 ]
Map::
	R = (1, 81, 3, 83, 10, 90, 18, 98, 26, 106, 34, 114, 42, 122, 50, 130, 58, 138, 66, 146, 74, 154, 78, 158, 70, 150, 62, 142, 54, 134, 46, 126, 38, 118, 30, 110, 22, 102, 14, 94, 6, 86, 13, 93, 21, 101, 29, 109, 37, 117, 45, 125, 53, 133, 61, 141, 69, 149, 77, 157, 76, 156, 68, 148, 60, 140, 52, 132, 44, 124, 36, 116, 28, 108, 20, 100, 12, 92, 5, 85)(2, 82, 7, 87, 15, 95, 23, 103, 31, 111, 39, 119, 47, 127, 55, 135, 63, 143, 71, 151, 79, 159, 73, 153, 65, 145, 57, 137, 49, 129, 41, 121, 33, 113, 25, 105, 17, 97, 9, 89, 4, 84, 11, 91, 19, 99, 27, 107, 35, 115, 43, 123, 51, 131, 59, 139, 67, 147, 75, 155, 80, 160, 72, 152, 64, 144, 56, 136, 48, 128, 40, 120, 32, 112, 24, 104, 16, 96, 8, 88)
	L = (1, 82)(2, 86)(3, 89)(4, 81)(5, 91)(6, 84)(7, 85)(8, 83)(9, 93)(10, 96)(11, 94)(12, 95)(13, 88)(14, 87)(15, 102)(16, 101)(17, 90)(18, 105)(19, 92)(20, 107)(21, 97)(22, 99)(23, 100)(24, 98)(25, 109)(26, 112)(27, 110)(28, 111)(29, 104)(30, 103)(31, 118)(32, 117)(33, 106)(34, 121)(35, 108)(36, 123)(37, 113)(38, 115)(39, 116)(40, 114)(41, 125)(42, 128)(43, 126)(44, 127)(45, 120)(46, 119)(47, 134)(48, 133)(49, 122)(50, 137)(51, 124)(52, 139)(53, 129)(54, 131)(55, 132)(56, 130)(57, 141)(58, 144)(59, 142)(60, 143)(61, 136)(62, 135)(63, 150)(64, 149)(65, 138)(66, 153)(67, 140)(68, 155)(69, 145)(70, 147)(71, 148)(72, 146)(73, 157)(74, 160)(75, 158)(76, 159)(77, 152)(78, 151)(79, 154)(80, 156)
	local type(s) :: { ( 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4 ) }
Outer automorphisms :: reflexible
Dual of E10.731
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 2 e = 80 f = 60
	degree seq :: [ 80^2 ]

E10.736 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 4, 40})
Quotient :: loop
Aut^+ = C40 : C2 (small group id <80, 6>)
Aut   = (C2 x D40) : C2 (small group id <160, 129>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, (T1^-2 * T2)^2, (T2 * T1)^4, (T2 * T1^8)^2, T2 * T1^-1 * T2 * T1^19 ]
Map:: polytopal non-degenerate
	R = (1, 81, 3, 83)(2, 82, 6, 86)(4, 84, 9, 89)(5, 85, 12, 92)(7, 87, 16, 96)(8, 88, 17, 97)(10, 90, 15, 95)(11, 91, 21, 101)(13, 93, 23, 103)(14, 94, 24, 104)(18, 98, 26, 106)(19, 99, 27, 107)(20, 100, 30, 110)(22, 102, 32, 112)(25, 105, 34, 114)(28, 108, 33, 113)(29, 109, 38, 118)(31, 111, 40, 120)(35, 115, 42, 122)(36, 116, 43, 123)(37, 117, 46, 126)(39, 119, 48, 128)(41, 121, 50, 130)(44, 124, 49, 129)(45, 125, 54, 134)(47, 127, 56, 136)(51, 131, 58, 138)(52, 132, 59, 139)(53, 133, 62, 142)(55, 135, 64, 144)(57, 137, 66, 146)(60, 140, 65, 145)(61, 141, 70, 150)(63, 143, 72, 152)(67, 147, 74, 154)(68, 148, 75, 155)(69, 149, 78, 158)(71, 151, 80, 160)(73, 153, 77, 157)(76, 156, 79, 159)
	L = (1, 82)(2, 85)(3, 87)(4, 81)(5, 91)(6, 93)(7, 95)(8, 83)(9, 98)(10, 84)(11, 100)(12, 88)(13, 89)(14, 86)(15, 105)(16, 103)(17, 104)(18, 107)(19, 90)(20, 109)(21, 94)(22, 92)(23, 97)(24, 112)(25, 113)(26, 96)(27, 115)(28, 99)(29, 117)(30, 102)(31, 101)(32, 120)(33, 121)(34, 106)(35, 123)(36, 108)(37, 125)(38, 111)(39, 110)(40, 128)(41, 129)(42, 114)(43, 131)(44, 116)(45, 133)(46, 119)(47, 118)(48, 136)(49, 137)(50, 122)(51, 139)(52, 124)(53, 141)(54, 127)(55, 126)(56, 144)(57, 145)(58, 130)(59, 147)(60, 132)(61, 149)(62, 135)(63, 134)(64, 152)(65, 153)(66, 138)(67, 155)(68, 140)(69, 157)(70, 143)(71, 142)(72, 160)(73, 159)(74, 146)(75, 158)(76, 148)(77, 154)(78, 151)(79, 150)(80, 156)
	local type(s) :: { ( 4, 40, 4, 40 ) }
Outer automorphisms :: reflexible
Dual of E10.732
Transitivity :: ET+ VT+ AT
Graph:: simple bipartite
	v = 40 e = 80 f = 22
	degree seq :: [ 4^40 ]

E10.737 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 40})
Quotient :: dipole
Aut^+ = C40 : C2 (small group id <80, 6>)
Aut   = (C2 x D40) : C2 (small group id <160, 129>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-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^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1, (Y3 * Y2^-1)^40 ]
Map::
	R = (1, 81, 2, 82)(3, 83, 7, 87)(4, 84, 9, 89)(5, 85, 10, 90)(6, 86, 12, 92)(8, 88, 11, 91)(13, 93, 17, 97)(14, 94, 18, 98)(15, 95, 19, 99)(16, 96, 20, 100)(21, 101, 25, 105)(22, 102, 26, 106)(23, 103, 27, 107)(24, 104, 28, 108)(29, 109, 33, 113)(30, 110, 34, 114)(31, 111, 40, 120)(32, 112, 35, 115)(36, 116, 54, 134)(37, 117, 53, 133)(38, 118, 55, 135)(39, 119, 56, 136)(41, 121, 57, 137)(42, 122, 58, 138)(43, 123, 59, 139)(44, 124, 60, 140)(45, 125, 61, 141)(46, 126, 62, 142)(47, 127, 63, 143)(48, 128, 64, 144)(49, 129, 65, 145)(50, 130, 66, 146)(51, 131, 67, 147)(52, 132, 68, 148)(69, 149, 73, 153)(70, 150, 74, 154)(71, 151, 76, 156)(72, 152, 75, 155)(77, 157, 80, 160)(78, 158, 79, 159)(161, 241, 163, 243, 168, 248, 164, 244)(162, 242, 165, 245, 171, 251, 166, 246)(167, 247, 173, 253, 169, 249, 174, 254)(170, 250, 175, 255, 172, 252, 176, 256)(177, 257, 181, 261, 178, 258, 182, 262)(179, 259, 183, 263, 180, 260, 184, 264)(185, 265, 189, 269, 186, 266, 190, 270)(187, 267, 191, 271, 188, 268, 192, 272)(193, 273, 213, 293, 194, 274, 214, 294)(195, 275, 215, 295, 200, 280, 216, 296)(196, 276, 217, 297, 197, 277, 218, 298)(198, 278, 219, 299, 199, 279, 220, 300)(201, 281, 221, 301, 202, 282, 222, 302)(203, 283, 223, 303, 204, 284, 224, 304)(205, 285, 225, 305, 206, 286, 226, 306)(207, 287, 227, 307, 208, 288, 228, 308)(209, 289, 229, 309, 210, 290, 230, 310)(211, 291, 231, 311, 212, 292, 232, 312)(233, 313, 239, 319, 234, 314, 240, 320)(235, 315, 238, 318, 236, 316, 237, 317)
	L = (1, 162)(2, 161)(3, 167)(4, 169)(5, 170)(6, 172)(7, 163)(8, 171)(9, 164)(10, 165)(11, 168)(12, 166)(13, 177)(14, 178)(15, 179)(16, 180)(17, 173)(18, 174)(19, 175)(20, 176)(21, 185)(22, 186)(23, 187)(24, 188)(25, 181)(26, 182)(27, 183)(28, 184)(29, 193)(30, 194)(31, 200)(32, 195)(33, 189)(34, 190)(35, 192)(36, 214)(37, 213)(38, 215)(39, 216)(40, 191)(41, 217)(42, 218)(43, 219)(44, 220)(45, 221)(46, 222)(47, 223)(48, 224)(49, 225)(50, 226)(51, 227)(52, 228)(53, 197)(54, 196)(55, 198)(56, 199)(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, 233)(70, 234)(71, 236)(72, 235)(73, 229)(74, 230)(75, 232)(76, 231)(77, 240)(78, 239)(79, 238)(80, 237)(81, 241)(82, 242)(83, 243)(84, 244)(85, 245)(86, 246)(87, 247)(88, 248)(89, 249)(90, 250)(91, 251)(92, 252)(93, 253)(94, 254)(95, 255)(96, 256)(97, 257)(98, 258)(99, 259)(100, 260)(101, 261)(102, 262)(103, 263)(104, 264)(105, 265)(106, 266)(107, 267)(108, 268)(109, 269)(110, 270)(111, 271)(112, 272)(113, 273)(114, 274)(115, 275)(116, 276)(117, 277)(118, 278)(119, 279)(120, 280)(121, 281)(122, 282)(123, 283)(124, 284)(125, 285)(126, 286)(127, 287)(128, 288)(129, 289)(130, 290)(131, 291)(132, 292)(133, 293)(134, 294)(135, 295)(136, 296)(137, 297)(138, 298)(139, 299)(140, 300)(141, 301)(142, 302)(143, 303)(144, 304)(145, 305)(146, 306)(147, 307)(148, 308)(149, 309)(150, 310)(151, 311)(152, 312)(153, 313)(154, 314)(155, 315)(156, 316)(157, 317)(158, 318)(159, 319)(160, 320)
	local type(s) :: { ( 2, 80, 2, 80 ), ( 2, 80, 2, 80, 2, 80, 2, 80 ) }
Outer automorphisms :: reflexible
Dual of E10.740
Graph:: bipartite
	v = 60 e = 160 f = 82
	degree seq :: [ 4^40, 8^20 ]

E10.738 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 40})
Quotient :: dipole
Aut^+ = C40 : C2 (small group id <80, 6>)
Aut   = (C2 x D40) : C2 (small group id <160, 129>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, (Y2^-1 * Y1^-1)^2, (R * Y1)^2, (R * Y3)^2, (Y2^-1 * Y1)^2, (Y3^-1 * Y1^-1)^2, Y1^4, Y1^-1 * Y2^-20 * Y1^-1 ]
Map::
	R = (1, 81, 2, 82, 6, 86, 4, 84)(3, 83, 9, 89, 13, 93, 8, 88)(5, 85, 11, 91, 14, 94, 7, 87)(10, 90, 16, 96, 21, 101, 17, 97)(12, 92, 15, 95, 22, 102, 19, 99)(18, 98, 25, 105, 29, 109, 24, 104)(20, 100, 27, 107, 30, 110, 23, 103)(26, 106, 32, 112, 37, 117, 33, 113)(28, 108, 31, 111, 38, 118, 35, 115)(34, 114, 41, 121, 45, 125, 40, 120)(36, 116, 43, 123, 46, 126, 39, 119)(42, 122, 48, 128, 53, 133, 49, 129)(44, 124, 47, 127, 54, 134, 51, 131)(50, 130, 57, 137, 61, 141, 56, 136)(52, 132, 59, 139, 62, 142, 55, 135)(58, 138, 64, 144, 69, 149, 65, 145)(60, 140, 63, 143, 70, 150, 67, 147)(66, 146, 73, 153, 77, 157, 72, 152)(68, 148, 75, 155, 78, 158, 71, 151)(74, 154, 80, 160, 76, 156, 79, 159)(161, 241, 163, 243, 170, 250, 178, 258, 186, 266, 194, 274, 202, 282, 210, 290, 218, 298, 226, 306, 234, 314, 238, 318, 230, 310, 222, 302, 214, 294, 206, 286, 198, 278, 190, 270, 182, 262, 174, 254, 166, 246, 173, 253, 181, 261, 189, 269, 197, 277, 205, 285, 213, 293, 221, 301, 229, 309, 237, 317, 236, 316, 228, 308, 220, 300, 212, 292, 204, 284, 196, 276, 188, 268, 180, 260, 172, 252, 165, 245)(162, 242, 167, 247, 175, 255, 183, 263, 191, 271, 199, 279, 207, 287, 215, 295, 223, 303, 231, 311, 239, 319, 233, 313, 225, 305, 217, 297, 209, 289, 201, 281, 193, 273, 185, 265, 177, 257, 169, 249, 164, 244, 171, 251, 179, 259, 187, 267, 195, 275, 203, 283, 211, 291, 219, 299, 227, 307, 235, 315, 240, 320, 232, 312, 224, 304, 216, 296, 208, 288, 200, 280, 192, 272, 184, 264, 176, 256, 168, 248)
	L = (1, 163)(2, 167)(3, 170)(4, 171)(5, 161)(6, 173)(7, 175)(8, 162)(9, 164)(10, 178)(11, 179)(12, 165)(13, 181)(14, 166)(15, 183)(16, 168)(17, 169)(18, 186)(19, 187)(20, 172)(21, 189)(22, 174)(23, 191)(24, 176)(25, 177)(26, 194)(27, 195)(28, 180)(29, 197)(30, 182)(31, 199)(32, 184)(33, 185)(34, 202)(35, 203)(36, 188)(37, 205)(38, 190)(39, 207)(40, 192)(41, 193)(42, 210)(43, 211)(44, 196)(45, 213)(46, 198)(47, 215)(48, 200)(49, 201)(50, 218)(51, 219)(52, 204)(53, 221)(54, 206)(55, 223)(56, 208)(57, 209)(58, 226)(59, 227)(60, 212)(61, 229)(62, 214)(63, 231)(64, 216)(65, 217)(66, 234)(67, 235)(68, 220)(69, 237)(70, 222)(71, 239)(72, 224)(73, 225)(74, 238)(75, 240)(76, 228)(77, 236)(78, 230)(79, 233)(80, 232)(81, 241)(82, 242)(83, 243)(84, 244)(85, 245)(86, 246)(87, 247)(88, 248)(89, 249)(90, 250)(91, 251)(92, 252)(93, 253)(94, 254)(95, 255)(96, 256)(97, 257)(98, 258)(99, 259)(100, 260)(101, 261)(102, 262)(103, 263)(104, 264)(105, 265)(106, 266)(107, 267)(108, 268)(109, 269)(110, 270)(111, 271)(112, 272)(113, 273)(114, 274)(115, 275)(116, 276)(117, 277)(118, 278)(119, 279)(120, 280)(121, 281)(122, 282)(123, 283)(124, 284)(125, 285)(126, 286)(127, 287)(128, 288)(129, 289)(130, 290)(131, 291)(132, 292)(133, 293)(134, 294)(135, 295)(136, 296)(137, 297)(138, 298)(139, 299)(140, 300)(141, 301)(142, 302)(143, 303)(144, 304)(145, 305)(146, 306)(147, 307)(148, 308)(149, 309)(150, 310)(151, 311)(152, 312)(153, 313)(154, 314)(155, 315)(156, 316)(157, 317)(158, 318)(159, 319)(160, 320)
	local type(s) :: { ( 2, 4, 2, 4, 2, 4, 2, 4 ), ( 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4 ) }
Outer automorphisms :: reflexible
Dual of E10.739
Graph:: bipartite
	v = 22 e = 160 f = 120
	degree seq :: [ 8^20, 80^2 ]

E10.739 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 40})
Quotient :: dipole
Aut^+ = C40 : C2 (small group id <80, 6>)
Aut   = (C2 x D40) : C2 (small group id <160, 129>)
|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, Y3^17 * Y2 * Y3^-3 * Y2, (Y3^-1 * Y1^-1)^40 ]
Map:: polytopal
	R = (1, 81)(2, 82)(3, 83)(4, 84)(5, 85)(6, 86)(7, 87)(8, 88)(9, 89)(10, 90)(11, 91)(12, 92)(13, 93)(14, 94)(15, 95)(16, 96)(17, 97)(18, 98)(19, 99)(20, 100)(21, 101)(22, 102)(23, 103)(24, 104)(25, 105)(26, 106)(27, 107)(28, 108)(29, 109)(30, 110)(31, 111)(32, 112)(33, 113)(34, 114)(35, 115)(36, 116)(37, 117)(38, 118)(39, 119)(40, 120)(41, 121)(42, 122)(43, 123)(44, 124)(45, 125)(46, 126)(47, 127)(48, 128)(49, 129)(50, 130)(51, 131)(52, 132)(53, 133)(54, 134)(55, 135)(56, 136)(57, 137)(58, 138)(59, 139)(60, 140)(61, 141)(62, 142)(63, 143)(64, 144)(65, 145)(66, 146)(67, 147)(68, 148)(69, 149)(70, 150)(71, 151)(72, 152)(73, 153)(74, 154)(75, 155)(76, 156)(77, 157)(78, 158)(79, 159)(80, 160)(161, 241, 162, 242)(163, 243, 167, 247)(164, 244, 169, 249)(165, 245, 171, 251)(166, 246, 173, 253)(168, 248, 174, 254)(170, 250, 172, 252)(175, 255, 180, 260)(176, 256, 183, 263)(177, 257, 185, 265)(178, 258, 181, 261)(179, 259, 187, 267)(182, 262, 189, 269)(184, 264, 191, 271)(186, 266, 192, 272)(188, 268, 190, 270)(193, 273, 199, 279)(194, 274, 201, 281)(195, 275, 197, 277)(196, 276, 203, 283)(198, 278, 205, 285)(200, 280, 207, 287)(202, 282, 208, 288)(204, 284, 206, 286)(209, 289, 215, 295)(210, 290, 217, 297)(211, 291, 213, 293)(212, 292, 219, 299)(214, 294, 221, 301)(216, 296, 223, 303)(218, 298, 224, 304)(220, 300, 222, 302)(225, 305, 231, 311)(226, 306, 233, 313)(227, 307, 229, 309)(228, 308, 235, 315)(230, 310, 237, 317)(232, 312, 239, 319)(234, 314, 240, 320)(236, 316, 238, 318)
	L = (1, 163)(2, 165)(3, 168)(4, 161)(5, 172)(6, 162)(7, 175)(8, 177)(9, 178)(10, 164)(11, 180)(12, 182)(13, 183)(14, 166)(15, 169)(16, 167)(17, 186)(18, 187)(19, 170)(20, 173)(21, 171)(22, 190)(23, 191)(24, 174)(25, 176)(26, 194)(27, 195)(28, 179)(29, 181)(30, 198)(31, 199)(32, 184)(33, 185)(34, 202)(35, 203)(36, 188)(37, 189)(38, 206)(39, 207)(40, 192)(41, 193)(42, 210)(43, 211)(44, 196)(45, 197)(46, 214)(47, 215)(48, 200)(49, 201)(50, 218)(51, 219)(52, 204)(53, 205)(54, 222)(55, 223)(56, 208)(57, 209)(58, 226)(59, 227)(60, 212)(61, 213)(62, 230)(63, 231)(64, 216)(65, 217)(66, 234)(67, 235)(68, 220)(69, 221)(70, 238)(71, 239)(72, 224)(73, 225)(74, 237)(75, 240)(76, 228)(77, 229)(78, 233)(79, 236)(80, 232)(81, 241)(82, 242)(83, 243)(84, 244)(85, 245)(86, 246)(87, 247)(88, 248)(89, 249)(90, 250)(91, 251)(92, 252)(93, 253)(94, 254)(95, 255)(96, 256)(97, 257)(98, 258)(99, 259)(100, 260)(101, 261)(102, 262)(103, 263)(104, 264)(105, 265)(106, 266)(107, 267)(108, 268)(109, 269)(110, 270)(111, 271)(112, 272)(113, 273)(114, 274)(115, 275)(116, 276)(117, 277)(118, 278)(119, 279)(120, 280)(121, 281)(122, 282)(123, 283)(124, 284)(125, 285)(126, 286)(127, 287)(128, 288)(129, 289)(130, 290)(131, 291)(132, 292)(133, 293)(134, 294)(135, 295)(136, 296)(137, 297)(138, 298)(139, 299)(140, 300)(141, 301)(142, 302)(143, 303)(144, 304)(145, 305)(146, 306)(147, 307)(148, 308)(149, 309)(150, 310)(151, 311)(152, 312)(153, 313)(154, 314)(155, 315)(156, 316)(157, 317)(158, 318)(159, 319)(160, 320)
	local type(s) :: { ( 8, 80 ), ( 8, 80, 8, 80 ) }
Outer automorphisms :: reflexible
Dual of E10.738
Graph:: simple bipartite
	v = 120 e = 160 f = 22
	degree seq :: [ 2^80, 4^40 ]

E10.740 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 40})
Quotient :: dipole
Aut^+ = C40 : C2 (small group id <80, 6>)
Aut   = (C2 x D40) : C2 (small group id <160, 129>)
|r| :: 2
Presentation :: [ Y2, R^2, Y3^2, R * Y2 * R * Y2^-1, (R * Y3)^2, (R * Y1)^2, (Y3 * Y2^-1)^2, (Y3 * Y1^-2)^2, (Y3 * Y1)^4, (Y3 * Y1^8)^2, Y3 * Y1^-1 * Y3 * Y1^19 ]
Map::
	R = (1, 81, 2, 82, 5, 85, 11, 91, 20, 100, 29, 109, 37, 117, 45, 125, 53, 133, 61, 141, 69, 149, 77, 157, 74, 154, 66, 146, 58, 138, 50, 130, 42, 122, 34, 114, 26, 106, 16, 96, 23, 103, 17, 97, 24, 104, 32, 112, 40, 120, 48, 128, 56, 136, 64, 144, 72, 152, 80, 160, 76, 156, 68, 148, 60, 140, 52, 132, 44, 124, 36, 116, 28, 108, 19, 99, 10, 90, 4, 84)(3, 83, 7, 87, 15, 95, 25, 105, 33, 113, 41, 121, 49, 129, 57, 137, 65, 145, 73, 153, 79, 159, 70, 150, 63, 143, 54, 134, 47, 127, 38, 118, 31, 111, 21, 101, 14, 94, 6, 86, 13, 93, 9, 89, 18, 98, 27, 107, 35, 115, 43, 123, 51, 131, 59, 139, 67, 147, 75, 155, 78, 158, 71, 151, 62, 142, 55, 135, 46, 126, 39, 119, 30, 110, 22, 102, 12, 92, 8, 88)(161, 241)(162, 242)(163, 243)(164, 244)(165, 245)(166, 246)(167, 247)(168, 248)(169, 249)(170, 250)(171, 251)(172, 252)(173, 253)(174, 254)(175, 255)(176, 256)(177, 257)(178, 258)(179, 259)(180, 260)(181, 261)(182, 262)(183, 263)(184, 264)(185, 265)(186, 266)(187, 267)(188, 268)(189, 269)(190, 270)(191, 271)(192, 272)(193, 273)(194, 274)(195, 275)(196, 276)(197, 277)(198, 278)(199, 279)(200, 280)(201, 281)(202, 282)(203, 283)(204, 284)(205, 285)(206, 286)(207, 287)(208, 288)(209, 289)(210, 290)(211, 291)(212, 292)(213, 293)(214, 294)(215, 295)(216, 296)(217, 297)(218, 298)(219, 299)(220, 300)(221, 301)(222, 302)(223, 303)(224, 304)(225, 305)(226, 306)(227, 307)(228, 308)(229, 309)(230, 310)(231, 311)(232, 312)(233, 313)(234, 314)(235, 315)(236, 316)(237, 317)(238, 318)(239, 319)(240, 320)
	L = (1, 163)(2, 166)(3, 161)(4, 169)(5, 172)(6, 162)(7, 176)(8, 177)(9, 164)(10, 175)(11, 181)(12, 165)(13, 183)(14, 184)(15, 170)(16, 167)(17, 168)(18, 186)(19, 187)(20, 190)(21, 171)(22, 192)(23, 173)(24, 174)(25, 194)(26, 178)(27, 179)(28, 193)(29, 198)(30, 180)(31, 200)(32, 182)(33, 188)(34, 185)(35, 202)(36, 203)(37, 206)(38, 189)(39, 208)(40, 191)(41, 210)(42, 195)(43, 196)(44, 209)(45, 214)(46, 197)(47, 216)(48, 199)(49, 204)(50, 201)(51, 218)(52, 219)(53, 222)(54, 205)(55, 224)(56, 207)(57, 226)(58, 211)(59, 212)(60, 225)(61, 230)(62, 213)(63, 232)(64, 215)(65, 220)(66, 217)(67, 234)(68, 235)(69, 238)(70, 221)(71, 240)(72, 223)(73, 237)(74, 227)(75, 228)(76, 239)(77, 233)(78, 229)(79, 236)(80, 231)(81, 241)(82, 242)(83, 243)(84, 244)(85, 245)(86, 246)(87, 247)(88, 248)(89, 249)(90, 250)(91, 251)(92, 252)(93, 253)(94, 254)(95, 255)(96, 256)(97, 257)(98, 258)(99, 259)(100, 260)(101, 261)(102, 262)(103, 263)(104, 264)(105, 265)(106, 266)(107, 267)(108, 268)(109, 269)(110, 270)(111, 271)(112, 272)(113, 273)(114, 274)(115, 275)(116, 276)(117, 277)(118, 278)(119, 279)(120, 280)(121, 281)(122, 282)(123, 283)(124, 284)(125, 285)(126, 286)(127, 287)(128, 288)(129, 289)(130, 290)(131, 291)(132, 292)(133, 293)(134, 294)(135, 295)(136, 296)(137, 297)(138, 298)(139, 299)(140, 300)(141, 301)(142, 302)(143, 303)(144, 304)(145, 305)(146, 306)(147, 307)(148, 308)(149, 309)(150, 310)(151, 311)(152, 312)(153, 313)(154, 314)(155, 315)(156, 316)(157, 317)(158, 318)(159, 319)(160, 320)
	local type(s) :: { ( 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 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 E10.737
Graph:: simple bipartite
	v = 82 e = 160 f = 60
	degree seq :: [ 2^80, 80^2 ]

E10.741 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 40})
Quotient :: dipole
Aut^+ = C40 : C2 (small group id <80, 6>)
Aut   = (C2 x D40) : C2 (small group id <160, 129>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, (Y2^2 * Y1)^2, (Y3 * Y2^-1)^4, Y2^3 * Y1 * Y2^-17 * Y1 ]
Map::
	R = (1, 81, 2, 82)(3, 83, 7, 87)(4, 84, 9, 89)(5, 85, 11, 91)(6, 86, 13, 93)(8, 88, 14, 94)(10, 90, 12, 92)(15, 95, 20, 100)(16, 96, 23, 103)(17, 97, 25, 105)(18, 98, 21, 101)(19, 99, 27, 107)(22, 102, 29, 109)(24, 104, 31, 111)(26, 106, 32, 112)(28, 108, 30, 110)(33, 113, 39, 119)(34, 114, 41, 121)(35, 115, 37, 117)(36, 116, 43, 123)(38, 118, 45, 125)(40, 120, 47, 127)(42, 122, 48, 128)(44, 124, 46, 126)(49, 129, 55, 135)(50, 130, 57, 137)(51, 131, 53, 133)(52, 132, 59, 139)(54, 134, 61, 141)(56, 136, 63, 143)(58, 138, 64, 144)(60, 140, 62, 142)(65, 145, 71, 151)(66, 146, 73, 153)(67, 147, 69, 149)(68, 148, 75, 155)(70, 150, 77, 157)(72, 152, 79, 159)(74, 154, 80, 160)(76, 156, 78, 158)(161, 241, 163, 243, 168, 248, 177, 257, 186, 266, 194, 274, 202, 282, 210, 290, 218, 298, 226, 306, 234, 314, 237, 317, 229, 309, 221, 301, 213, 293, 205, 285, 197, 277, 189, 269, 181, 261, 171, 251, 180, 260, 173, 253, 183, 263, 191, 271, 199, 279, 207, 287, 215, 295, 223, 303, 231, 311, 239, 319, 236, 316, 228, 308, 220, 300, 212, 292, 204, 284, 196, 276, 188, 268, 179, 259, 170, 250, 164, 244)(162, 242, 165, 245, 172, 252, 182, 262, 190, 270, 198, 278, 206, 286, 214, 294, 222, 302, 230, 310, 238, 318, 233, 313, 225, 305, 217, 297, 209, 289, 201, 281, 193, 273, 185, 265, 176, 256, 167, 247, 175, 255, 169, 249, 178, 258, 187, 267, 195, 275, 203, 283, 211, 291, 219, 299, 227, 307, 235, 315, 240, 320, 232, 312, 224, 304, 216, 296, 208, 288, 200, 280, 192, 272, 184, 264, 174, 254, 166, 246)
	L = (1, 162)(2, 161)(3, 167)(4, 169)(5, 171)(6, 173)(7, 163)(8, 174)(9, 164)(10, 172)(11, 165)(12, 170)(13, 166)(14, 168)(15, 180)(16, 183)(17, 185)(18, 181)(19, 187)(20, 175)(21, 178)(22, 189)(23, 176)(24, 191)(25, 177)(26, 192)(27, 179)(28, 190)(29, 182)(30, 188)(31, 184)(32, 186)(33, 199)(34, 201)(35, 197)(36, 203)(37, 195)(38, 205)(39, 193)(40, 207)(41, 194)(42, 208)(43, 196)(44, 206)(45, 198)(46, 204)(47, 200)(48, 202)(49, 215)(50, 217)(51, 213)(52, 219)(53, 211)(54, 221)(55, 209)(56, 223)(57, 210)(58, 224)(59, 212)(60, 222)(61, 214)(62, 220)(63, 216)(64, 218)(65, 231)(66, 233)(67, 229)(68, 235)(69, 227)(70, 237)(71, 225)(72, 239)(73, 226)(74, 240)(75, 228)(76, 238)(77, 230)(78, 236)(79, 232)(80, 234)(81, 241)(82, 242)(83, 243)(84, 244)(85, 245)(86, 246)(87, 247)(88, 248)(89, 249)(90, 250)(91, 251)(92, 252)(93, 253)(94, 254)(95, 255)(96, 256)(97, 257)(98, 258)(99, 259)(100, 260)(101, 261)(102, 262)(103, 263)(104, 264)(105, 265)(106, 266)(107, 267)(108, 268)(109, 269)(110, 270)(111, 271)(112, 272)(113, 273)(114, 274)(115, 275)(116, 276)(117, 277)(118, 278)(119, 279)(120, 280)(121, 281)(122, 282)(123, 283)(124, 284)(125, 285)(126, 286)(127, 287)(128, 288)(129, 289)(130, 290)(131, 291)(132, 292)(133, 293)(134, 294)(135, 295)(136, 296)(137, 297)(138, 298)(139, 299)(140, 300)(141, 301)(142, 302)(143, 303)(144, 304)(145, 305)(146, 306)(147, 307)(148, 308)(149, 309)(150, 310)(151, 311)(152, 312)(153, 313)(154, 314)(155, 315)(156, 316)(157, 317)(158, 318)(159, 319)(160, 320)
	local type(s) :: { ( 2, 8, 2, 8 ), ( 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 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 E10.742
Graph:: bipartite
	v = 42 e = 160 f = 100
	degree seq :: [ 4^40, 80^2 ]

E10.742 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 40})
Quotient :: dipole
Aut^+ = C40 : C2 (small group id <80, 6>)
Aut   = (C2 x D40) : C2 (small group id <160, 129>)
|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^-20 * Y1^-1, (Y3 * Y2^-1)^40 ]
Map::
	R = (1, 81, 2, 82, 6, 86, 4, 84)(3, 83, 9, 89, 13, 93, 8, 88)(5, 85, 11, 91, 14, 94, 7, 87)(10, 90, 16, 96, 21, 101, 17, 97)(12, 92, 15, 95, 22, 102, 19, 99)(18, 98, 25, 105, 29, 109, 24, 104)(20, 100, 27, 107, 30, 110, 23, 103)(26, 106, 32, 112, 37, 117, 33, 113)(28, 108, 31, 111, 38, 118, 35, 115)(34, 114, 41, 121, 45, 125, 40, 120)(36, 116, 43, 123, 46, 126, 39, 119)(42, 122, 48, 128, 53, 133, 49, 129)(44, 124, 47, 127, 54, 134, 51, 131)(50, 130, 57, 137, 61, 141, 56, 136)(52, 132, 59, 139, 62, 142, 55, 135)(58, 138, 64, 144, 69, 149, 65, 145)(60, 140, 63, 143, 70, 150, 67, 147)(66, 146, 73, 153, 77, 157, 72, 152)(68, 148, 75, 155, 78, 158, 71, 151)(74, 154, 80, 160, 76, 156, 79, 159)(161, 241)(162, 242)(163, 243)(164, 244)(165, 245)(166, 246)(167, 247)(168, 248)(169, 249)(170, 250)(171, 251)(172, 252)(173, 253)(174, 254)(175, 255)(176, 256)(177, 257)(178, 258)(179, 259)(180, 260)(181, 261)(182, 262)(183, 263)(184, 264)(185, 265)(186, 266)(187, 267)(188, 268)(189, 269)(190, 270)(191, 271)(192, 272)(193, 273)(194, 274)(195, 275)(196, 276)(197, 277)(198, 278)(199, 279)(200, 280)(201, 281)(202, 282)(203, 283)(204, 284)(205, 285)(206, 286)(207, 287)(208, 288)(209, 289)(210, 290)(211, 291)(212, 292)(213, 293)(214, 294)(215, 295)(216, 296)(217, 297)(218, 298)(219, 299)(220, 300)(221, 301)(222, 302)(223, 303)(224, 304)(225, 305)(226, 306)(227, 307)(228, 308)(229, 309)(230, 310)(231, 311)(232, 312)(233, 313)(234, 314)(235, 315)(236, 316)(237, 317)(238, 318)(239, 319)(240, 320)
	L = (1, 163)(2, 167)(3, 170)(4, 171)(5, 161)(6, 173)(7, 175)(8, 162)(9, 164)(10, 178)(11, 179)(12, 165)(13, 181)(14, 166)(15, 183)(16, 168)(17, 169)(18, 186)(19, 187)(20, 172)(21, 189)(22, 174)(23, 191)(24, 176)(25, 177)(26, 194)(27, 195)(28, 180)(29, 197)(30, 182)(31, 199)(32, 184)(33, 185)(34, 202)(35, 203)(36, 188)(37, 205)(38, 190)(39, 207)(40, 192)(41, 193)(42, 210)(43, 211)(44, 196)(45, 213)(46, 198)(47, 215)(48, 200)(49, 201)(50, 218)(51, 219)(52, 204)(53, 221)(54, 206)(55, 223)(56, 208)(57, 209)(58, 226)(59, 227)(60, 212)(61, 229)(62, 214)(63, 231)(64, 216)(65, 217)(66, 234)(67, 235)(68, 220)(69, 237)(70, 222)(71, 239)(72, 224)(73, 225)(74, 238)(75, 240)(76, 228)(77, 236)(78, 230)(79, 233)(80, 232)(81, 241)(82, 242)(83, 243)(84, 244)(85, 245)(86, 246)(87, 247)(88, 248)(89, 249)(90, 250)(91, 251)(92, 252)(93, 253)(94, 254)(95, 255)(96, 256)(97, 257)(98, 258)(99, 259)(100, 260)(101, 261)(102, 262)(103, 263)(104, 264)(105, 265)(106, 266)(107, 267)(108, 268)(109, 269)(110, 270)(111, 271)(112, 272)(113, 273)(114, 274)(115, 275)(116, 276)(117, 277)(118, 278)(119, 279)(120, 280)(121, 281)(122, 282)(123, 283)(124, 284)(125, 285)(126, 286)(127, 287)(128, 288)(129, 289)(130, 290)(131, 291)(132, 292)(133, 293)(134, 294)(135, 295)(136, 296)(137, 297)(138, 298)(139, 299)(140, 300)(141, 301)(142, 302)(143, 303)(144, 304)(145, 305)(146, 306)(147, 307)(148, 308)(149, 309)(150, 310)(151, 311)(152, 312)(153, 313)(154, 314)(155, 315)(156, 316)(157, 317)(158, 318)(159, 319)(160, 320)
	local type(s) :: { ( 4, 80 ), ( 4, 80, 4, 80, 4, 80, 4, 80 ) }
Outer automorphisms :: reflexible
Dual of E10.741
Graph:: simple bipartite
	v = 100 e = 160 f = 42
	degree seq :: [ 2^80, 8^20 ]

E10.743 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {3, 3, 9})
Quotient :: edge
Aut^+ = (C3 x C3 x C3) : C3 (small group id <81, 7>)
Aut   = ((C3 x C3 x C3) : C3) : C2 (small group id <162, 19>)
|r| :: 2
Presentation :: [ F^2, T1^3, T2^3, (F * T1)^2, (F * T2)^2, T1 * T2 * T1 * T2^-1 * T1^-1 * T2 * T1^-1 * T2^-1, (T2^-1 * T1^-1)^9 ]
Map:: polytopal non-degenerate
	R = (1, 3, 5)(2, 6, 7)(4, 10, 11)(8, 18, 19)(9, 20, 21)(12, 26, 27)(13, 28, 29)(14, 30, 31)(15, 32, 33)(16, 34, 35)(17, 36, 37)(22, 44, 40)(23, 45, 43)(24, 46, 47)(25, 48, 49)(38, 62, 50)(39, 63, 52)(41, 64, 51)(42, 65, 53)(54, 74, 58)(55, 75, 60)(56, 76, 59)(57, 77, 61)(66, 78, 70)(67, 79, 72)(68, 80, 71)(69, 81, 73)(82, 83, 85)(84, 89, 90)(86, 93, 94)(87, 95, 96)(88, 97, 98)(91, 103, 104)(92, 105, 106)(99, 119, 120)(100, 112, 121)(101, 122, 123)(102, 114, 124)(107, 115, 127)(108, 131, 132)(109, 117, 129)(110, 133, 134)(111, 135, 136)(113, 137, 138)(116, 139, 140)(118, 141, 142)(125, 147, 148)(126, 149, 150)(128, 151, 152)(130, 153, 154)(143, 155, 159)(144, 156, 160)(145, 157, 161)(146, 158, 162)
	L = (1, 82)(2, 83)(3, 84)(4, 85)(5, 86)(6, 87)(7, 88)(8, 89)(9, 90)(10, 91)(11, 92)(12, 93)(13, 94)(14, 95)(15, 96)(16, 97)(17, 98)(18, 99)(19, 100)(20, 101)(21, 102)(22, 103)(23, 104)(24, 105)(25, 106)(26, 107)(27, 108)(28, 109)(29, 110)(30, 111)(31, 112)(32, 113)(33, 114)(34, 115)(35, 116)(36, 117)(37, 118)(38, 119)(39, 120)(40, 121)(41, 122)(42, 123)(43, 124)(44, 125)(45, 126)(46, 127)(47, 128)(48, 129)(49, 130)(50, 131)(51, 132)(52, 133)(53, 134)(54, 135)(55, 136)(56, 137)(57, 138)(58, 139)(59, 140)(60, 141)(61, 142)(62, 143)(63, 144)(64, 145)(65, 146)(66, 147)(67, 148)(68, 149)(69, 150)(70, 151)(71, 152)(72, 153)(73, 154)(74, 155)(75, 156)(76, 157)(77, 158)(78, 159)(79, 160)(80, 161)(81, 162)
	local type(s) :: { ( 18^3 ) }
Outer automorphisms :: reflexible
Dual of E10.748
Transitivity :: ET+
Graph:: simple bipartite
	v = 54 e = 81 f = 9
	degree seq :: [ 3^54 ]

E10.744 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {3, 3, 9})
Quotient :: edge
Aut^+ = (C3 x C3 x C3) : C3 (small group id <81, 7>)
Aut   = ((C3 x C3 x C3) : C3) : C2 (small group id <162, 19>)
|r| :: 2
Presentation :: [ F^2, T1^3, (F * T2)^2, (F * T1)^2, (T1 * T2)^3, T1 * T2^-1 * T1^-1 * T2 * T1^-1 * T2^-1 * T1 * T2, T2^3 * T1 * T2^-3 * T1^-1, T1 * T2^-4 * T1 * T2^-1 * T1 * T2^-1, T2^9 ]
Map:: polytopal non-degenerate
	R = (1, 3, 9, 25, 57, 75, 39, 15, 5)(2, 6, 17, 42, 77, 63, 51, 21, 7)(4, 11, 30, 58, 71, 80, 70, 33, 12)(8, 22, 52, 81, 65, 74, 37, 54, 23)(10, 27, 62, 47, 19, 46, 38, 41, 28)(13, 34, 56, 24, 55, 31, 66, 73, 35)(14, 36, 60, 26, 59, 49, 76, 40, 16)(18, 44, 79, 68, 32, 67, 50, 64, 45)(20, 48, 72, 43, 78, 69, 61, 53, 29)(82, 83, 85)(84, 89, 91)(86, 94, 95)(87, 97, 99)(88, 100, 101)(90, 105, 107)(92, 110, 112)(93, 113, 103)(96, 118, 119)(98, 122, 124)(102, 130, 131)(104, 121, 134)(106, 123, 139)(108, 142, 144)(109, 126, 136)(111, 145, 146)(114, 150, 137)(115, 127, 148)(116, 152, 153)(117, 129, 133)(120, 132, 151)(125, 135, 161)(128, 138, 162)(140, 159, 155)(141, 149, 158)(143, 160, 154)(147, 157, 156)
	L = (1, 82)(2, 83)(3, 84)(4, 85)(5, 86)(6, 87)(7, 88)(8, 89)(9, 90)(10, 91)(11, 92)(12, 93)(13, 94)(14, 95)(15, 96)(16, 97)(17, 98)(18, 99)(19, 100)(20, 101)(21, 102)(22, 103)(23, 104)(24, 105)(25, 106)(26, 107)(27, 108)(28, 109)(29, 110)(30, 111)(31, 112)(32, 113)(33, 114)(34, 115)(35, 116)(36, 117)(37, 118)(38, 119)(39, 120)(40, 121)(41, 122)(42, 123)(43, 124)(44, 125)(45, 126)(46, 127)(47, 128)(48, 129)(49, 130)(50, 131)(51, 132)(52, 133)(53, 134)(54, 135)(55, 136)(56, 137)(57, 138)(58, 139)(59, 140)(60, 141)(61, 142)(62, 143)(63, 144)(64, 145)(65, 146)(66, 147)(67, 148)(68, 149)(69, 150)(70, 151)(71, 152)(72, 153)(73, 154)(74, 155)(75, 156)(76, 157)(77, 158)(78, 159)(79, 160)(80, 161)(81, 162)
	local type(s) :: { ( 6^3 ), ( 6^9 ) }
Outer automorphisms :: reflexible
Dual of E10.746
Transitivity :: ET+
Graph:: simple bipartite
	v = 36 e = 81 f = 27
	degree seq :: [ 3^27, 9^9 ]

E10.745 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {3, 3, 9})
Quotient :: edge
Aut^+ = (C3 x C3 x C3) : C3 (small group id <81, 7>)
Aut   = ((C3 x C3 x C3) : C3) : C2 (small group id <162, 19>)
|r| :: 2
Presentation :: [ F^2, T1^3, (F * T2)^2, (F * T1)^2, (T2^-1 * T1^-1)^3, T2^-1 * T1 * T2^-1 * T1 * T2^2 * T1, T2^9 ]
Map:: polytopal non-degenerate
	R = (1, 3, 9, 25, 53, 67, 39, 15, 5)(2, 6, 17, 41, 69, 71, 48, 21, 7)(4, 11, 30, 54, 77, 73, 62, 33, 12)(8, 22, 49, 72, 60, 66, 37, 51, 23)(10, 27, 57, 76, 80, 63, 38, 19, 28)(13, 34, 31, 24, 52, 75, 81, 65, 35)(14, 36, 56, 26, 55, 46, 68, 40, 16)(18, 43, 64, 78, 74, 58, 47, 32, 44)(20, 45, 70, 42, 50, 61, 79, 59, 29)(82, 83, 85)(84, 89, 91)(86, 94, 95)(87, 97, 99)(88, 100, 101)(90, 105, 107)(92, 110, 112)(93, 113, 103)(96, 118, 119)(98, 108, 123)(102, 127, 128)(104, 117, 131)(106, 122, 135)(109, 139, 133)(111, 124, 141)(114, 142, 116)(115, 144, 145)(120, 129, 143)(121, 126, 147)(125, 146, 138)(130, 136, 140)(132, 154, 155)(134, 153, 157)(137, 159, 150)(148, 162, 149)(151, 156, 158)(152, 161, 160)
	L = (1, 82)(2, 83)(3, 84)(4, 85)(5, 86)(6, 87)(7, 88)(8, 89)(9, 90)(10, 91)(11, 92)(12, 93)(13, 94)(14, 95)(15, 96)(16, 97)(17, 98)(18, 99)(19, 100)(20, 101)(21, 102)(22, 103)(23, 104)(24, 105)(25, 106)(26, 107)(27, 108)(28, 109)(29, 110)(30, 111)(31, 112)(32, 113)(33, 114)(34, 115)(35, 116)(36, 117)(37, 118)(38, 119)(39, 120)(40, 121)(41, 122)(42, 123)(43, 124)(44, 125)(45, 126)(46, 127)(47, 128)(48, 129)(49, 130)(50, 131)(51, 132)(52, 133)(53, 134)(54, 135)(55, 136)(56, 137)(57, 138)(58, 139)(59, 140)(60, 141)(61, 142)(62, 143)(63, 144)(64, 145)(65, 146)(66, 147)(67, 148)(68, 149)(69, 150)(70, 151)(71, 152)(72, 153)(73, 154)(74, 155)(75, 156)(76, 157)(77, 158)(78, 159)(79, 160)(80, 161)(81, 162)
	local type(s) :: { ( 6^3 ), ( 6^9 ) }
Outer automorphisms :: reflexible
Dual of E10.747
Transitivity :: ET+
Graph:: simple bipartite
	v = 36 e = 81 f = 27
	degree seq :: [ 3^27, 9^9 ]

E10.746 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {3, 3, 9})
Quotient :: loop
Aut^+ = (C3 x C3 x C3) : C3 (small group id <81, 7>)
Aut   = ((C3 x C3 x C3) : C3) : C2 (small group id <162, 19>)
|r| :: 2
Presentation :: [ F^2, T1^3, T2^3, (F * T1)^2, (F * T2)^2, T1 * T2 * T1 * T2^-1 * T1^-1 * T2 * T1^-1 * T2^-1, (T2^-1 * T1^-1)^9 ]
Map:: polytopal non-degenerate
	R = (1, 82, 3, 84, 5, 86)(2, 83, 6, 87, 7, 88)(4, 85, 10, 91, 11, 92)(8, 89, 18, 99, 19, 100)(9, 90, 20, 101, 21, 102)(12, 93, 26, 107, 27, 108)(13, 94, 28, 109, 29, 110)(14, 95, 30, 111, 31, 112)(15, 96, 32, 113, 33, 114)(16, 97, 34, 115, 35, 116)(17, 98, 36, 117, 37, 118)(22, 103, 44, 125, 40, 121)(23, 104, 45, 126, 43, 124)(24, 105, 46, 127, 47, 128)(25, 106, 48, 129, 49, 130)(38, 119, 62, 143, 50, 131)(39, 120, 63, 144, 52, 133)(41, 122, 64, 145, 51, 132)(42, 123, 65, 146, 53, 134)(54, 135, 74, 155, 58, 139)(55, 136, 75, 156, 60, 141)(56, 137, 76, 157, 59, 140)(57, 138, 77, 158, 61, 142)(66, 147, 78, 159, 70, 151)(67, 148, 79, 160, 72, 153)(68, 149, 80, 161, 71, 152)(69, 150, 81, 162, 73, 154)
	L = (1, 83)(2, 85)(3, 89)(4, 82)(5, 93)(6, 95)(7, 97)(8, 90)(9, 84)(10, 103)(11, 105)(12, 94)(13, 86)(14, 96)(15, 87)(16, 98)(17, 88)(18, 119)(19, 112)(20, 122)(21, 114)(22, 104)(23, 91)(24, 106)(25, 92)(26, 115)(27, 131)(28, 117)(29, 133)(30, 135)(31, 121)(32, 137)(33, 124)(34, 127)(35, 139)(36, 129)(37, 141)(38, 120)(39, 99)(40, 100)(41, 123)(42, 101)(43, 102)(44, 147)(45, 149)(46, 107)(47, 151)(48, 109)(49, 153)(50, 132)(51, 108)(52, 134)(53, 110)(54, 136)(55, 111)(56, 138)(57, 113)(58, 140)(59, 116)(60, 142)(61, 118)(62, 155)(63, 156)(64, 157)(65, 158)(66, 148)(67, 125)(68, 150)(69, 126)(70, 152)(71, 128)(72, 154)(73, 130)(74, 159)(75, 160)(76, 161)(77, 162)(78, 143)(79, 144)(80, 145)(81, 146)
	local type(s) :: { ( 3, 9, 3, 9, 3, 9 ) }
Outer automorphisms :: reflexible
Dual of E10.744
Transitivity :: ET+ VT+ AT
Graph:: simple
	v = 27 e = 81 f = 36
	degree seq :: [ 6^27 ]

E10.747 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {3, 3, 9})
Quotient :: loop
Aut^+ = (C3 x C3 x C3) : C3 (small group id <81, 7>)
Aut   = ((C3 x C3 x C3) : C3) : C2 (small group id <162, 19>)
|r| :: 2
Presentation :: [ F^2, T1^3, T2^3, (F * T1)^2, (F * T2)^2, T2 * T1 * T2 * T1^-1 * T2^-1 * T1 * T2^-1 * T1^-1, (T2^-1 * T1^-1)^9 ]
Map:: polytopal non-degenerate
	R = (1, 82, 3, 84, 5, 86)(2, 83, 6, 87, 7, 88)(4, 85, 10, 91, 11, 92)(8, 89, 18, 99, 19, 100)(9, 90, 20, 101, 21, 102)(12, 93, 26, 107, 27, 108)(13, 94, 28, 109, 29, 110)(14, 95, 30, 111, 31, 112)(15, 96, 32, 113, 33, 114)(16, 97, 34, 115, 35, 116)(17, 98, 36, 117, 37, 118)(22, 103, 40, 121, 44, 125)(23, 104, 45, 126, 46, 127)(24, 105, 42, 123, 47, 128)(25, 106, 48, 129, 49, 130)(38, 119, 58, 139, 59, 140)(39, 120, 60, 141, 61, 142)(41, 122, 62, 143, 63, 144)(43, 124, 64, 145, 65, 146)(50, 131, 66, 147, 67, 148)(51, 132, 68, 149, 69, 150)(52, 133, 70, 151, 71, 152)(53, 134, 72, 153, 73, 154)(54, 135, 74, 155, 75, 156)(55, 136, 76, 157, 77, 158)(56, 137, 78, 159, 79, 160)(57, 138, 80, 161, 81, 162)
	L = (1, 83)(2, 85)(3, 89)(4, 82)(5, 93)(6, 95)(7, 97)(8, 90)(9, 84)(10, 103)(11, 105)(12, 94)(13, 86)(14, 96)(15, 87)(16, 98)(17, 88)(18, 119)(19, 120)(20, 121)(21, 123)(22, 104)(23, 91)(24, 106)(25, 92)(26, 131)(27, 132)(28, 125)(29, 128)(30, 135)(31, 136)(32, 99)(33, 107)(34, 137)(35, 138)(36, 100)(37, 108)(38, 113)(39, 117)(40, 122)(41, 101)(42, 124)(43, 102)(44, 133)(45, 111)(46, 115)(47, 134)(48, 112)(49, 116)(50, 114)(51, 118)(52, 109)(53, 110)(54, 126)(55, 129)(56, 127)(57, 130)(58, 155)(59, 157)(60, 159)(61, 161)(62, 139)(63, 141)(64, 140)(65, 142)(66, 156)(67, 158)(68, 160)(69, 162)(70, 147)(71, 149)(72, 148)(73, 150)(74, 143)(75, 151)(76, 145)(77, 153)(78, 144)(79, 152)(80, 146)(81, 154)
	local type(s) :: { ( 3, 9, 3, 9, 3, 9 ) }
Outer automorphisms :: reflexible
Dual of E10.745
Transitivity :: ET+ VT+ AT
Graph:: simple
	v = 27 e = 81 f = 36
	degree seq :: [ 6^27 ]

E10.748 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {3, 3, 9})
Quotient :: loop
Aut^+ = (C3 x C3 x C3) : C3 (small group id <81, 7>)
Aut   = ((C3 x C3 x C3) : C3) : C2 (small group id <162, 19>)
|r| :: 2
Presentation :: [ F^2, T1^3, (F * T2)^2, (F * T1)^2, (T1 * T2)^3, T1 * T2^-1 * T1^-1 * T2 * T1^-1 * T2^-1 * T1 * T2, T2^3 * T1 * T2^-3 * T1^-1, T1 * T2^-4 * T1 * T2^-1 * T1 * T2^-1, T2^9 ]
Map:: polytopal non-degenerate
	R = (1, 82, 3, 84, 9, 90, 25, 106, 57, 138, 75, 156, 39, 120, 15, 96, 5, 86)(2, 83, 6, 87, 17, 98, 42, 123, 77, 158, 63, 144, 51, 132, 21, 102, 7, 88)(4, 85, 11, 92, 30, 111, 58, 139, 71, 152, 80, 161, 70, 151, 33, 114, 12, 93)(8, 89, 22, 103, 52, 133, 81, 162, 65, 146, 74, 155, 37, 118, 54, 135, 23, 104)(10, 91, 27, 108, 62, 143, 47, 128, 19, 100, 46, 127, 38, 119, 41, 122, 28, 109)(13, 94, 34, 115, 56, 137, 24, 105, 55, 136, 31, 112, 66, 147, 73, 154, 35, 116)(14, 95, 36, 117, 60, 141, 26, 107, 59, 140, 49, 130, 76, 157, 40, 121, 16, 97)(18, 99, 44, 125, 79, 160, 68, 149, 32, 113, 67, 148, 50, 131, 64, 145, 45, 126)(20, 101, 48, 129, 72, 153, 43, 124, 78, 159, 69, 150, 61, 142, 53, 134, 29, 110)
	L = (1, 83)(2, 85)(3, 89)(4, 82)(5, 94)(6, 97)(7, 100)(8, 91)(9, 105)(10, 84)(11, 110)(12, 113)(13, 95)(14, 86)(15, 118)(16, 99)(17, 122)(18, 87)(19, 101)(20, 88)(21, 130)(22, 93)(23, 121)(24, 107)(25, 123)(26, 90)(27, 142)(28, 126)(29, 112)(30, 145)(31, 92)(32, 103)(33, 150)(34, 127)(35, 152)(36, 129)(37, 119)(38, 96)(39, 132)(40, 134)(41, 124)(42, 139)(43, 98)(44, 135)(45, 136)(46, 148)(47, 138)(48, 133)(49, 131)(50, 102)(51, 151)(52, 117)(53, 104)(54, 161)(55, 109)(56, 114)(57, 162)(58, 106)(59, 159)(60, 149)(61, 144)(62, 160)(63, 108)(64, 146)(65, 111)(66, 157)(67, 115)(68, 158)(69, 137)(70, 120)(71, 153)(72, 116)(73, 143)(74, 140)(75, 147)(76, 156)(77, 141)(78, 155)(79, 154)(80, 125)(81, 128)
	local type(s) :: { ( 3^18 ) }
Outer automorphisms :: reflexible
Dual of E10.743
Transitivity :: ET+ VT+ AT
Graph::
	v = 9 e = 81 f = 54
	degree seq :: [ 18^9 ]

E10.749 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 3, 9})
Quotient :: dipole
Aut^+ = (C3 x C3 x C3) : C3 (small group id <81, 7>)
Aut   = ((C3 x C3 x C3) : C3) : C2 (small group id <162, 19>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1^-1, Y1^2 * Y3^-1, Y2^3, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y3 * Y2 * Y1 * Y2 * Y1^-1 * Y2^-1 * Y3^-1 * Y2^-1, 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^-1 * Y1 * Y2 * Y1^-1 * Y2 * Y3^-1 * Y2^-1, (Y3 * Y2^-1)^9 ]
Map::
	R = (1, 82, 2, 83, 4, 85)(3, 84, 8, 89, 9, 90)(5, 86, 12, 93, 13, 94)(6, 87, 14, 95, 15, 96)(7, 88, 16, 97, 17, 98)(10, 91, 22, 103, 23, 104)(11, 92, 24, 105, 25, 106)(18, 99, 38, 119, 32, 113)(19, 100, 39, 120, 36, 117)(20, 101, 40, 121, 41, 122)(21, 102, 42, 123, 43, 124)(26, 107, 50, 131, 33, 114)(27, 108, 51, 132, 37, 118)(28, 109, 44, 125, 52, 133)(29, 110, 47, 128, 53, 134)(30, 111, 54, 135, 45, 126)(31, 112, 55, 136, 48, 129)(34, 115, 56, 137, 46, 127)(35, 116, 57, 138, 49, 130)(58, 139, 74, 155, 62, 143)(59, 140, 76, 157, 64, 145)(60, 141, 78, 159, 63, 144)(61, 142, 80, 161, 65, 146)(66, 147, 75, 156, 70, 151)(67, 148, 77, 158, 72, 153)(68, 149, 79, 160, 71, 152)(69, 150, 81, 162, 73, 154)(163, 244, 165, 246, 167, 248)(164, 245, 168, 249, 169, 250)(166, 247, 172, 253, 173, 254)(170, 251, 180, 261, 181, 262)(171, 252, 182, 263, 183, 264)(174, 255, 188, 269, 189, 270)(175, 256, 190, 271, 191, 272)(176, 257, 192, 273, 193, 274)(177, 258, 194, 275, 195, 276)(178, 259, 196, 277, 197, 278)(179, 260, 198, 279, 199, 280)(184, 265, 202, 283, 206, 287)(185, 266, 207, 288, 208, 289)(186, 267, 204, 285, 209, 290)(187, 268, 210, 291, 211, 292)(200, 281, 220, 301, 221, 302)(201, 282, 222, 303, 223, 304)(203, 284, 224, 305, 225, 306)(205, 286, 226, 307, 227, 308)(212, 293, 228, 309, 229, 310)(213, 294, 230, 311, 231, 312)(214, 295, 232, 313, 233, 314)(215, 296, 234, 315, 235, 316)(216, 297, 236, 317, 237, 318)(217, 298, 238, 319, 239, 320)(218, 299, 240, 321, 241, 322)(219, 300, 242, 323, 243, 324)
	L = (1, 166)(2, 163)(3, 171)(4, 164)(5, 175)(6, 177)(7, 179)(8, 165)(9, 170)(10, 185)(11, 187)(12, 167)(13, 174)(14, 168)(15, 176)(16, 169)(17, 178)(18, 194)(19, 198)(20, 203)(21, 205)(22, 172)(23, 184)(24, 173)(25, 186)(26, 195)(27, 199)(28, 214)(29, 215)(30, 207)(31, 210)(32, 200)(33, 212)(34, 208)(35, 211)(36, 201)(37, 213)(38, 180)(39, 181)(40, 182)(41, 202)(42, 183)(43, 204)(44, 190)(45, 216)(46, 218)(47, 191)(48, 217)(49, 219)(50, 188)(51, 189)(52, 206)(53, 209)(54, 192)(55, 193)(56, 196)(57, 197)(58, 224)(59, 226)(60, 225)(61, 227)(62, 236)(63, 240)(64, 238)(65, 242)(66, 232)(67, 234)(68, 233)(69, 235)(70, 237)(71, 241)(72, 239)(73, 243)(74, 220)(75, 228)(76, 221)(77, 229)(78, 222)(79, 230)(80, 223)(81, 231)(82, 244)(83, 245)(84, 246)(85, 247)(86, 248)(87, 249)(88, 250)(89, 251)(90, 252)(91, 253)(92, 254)(93, 255)(94, 256)(95, 257)(96, 258)(97, 259)(98, 260)(99, 261)(100, 262)(101, 263)(102, 264)(103, 265)(104, 266)(105, 267)(106, 268)(107, 269)(108, 270)(109, 271)(110, 272)(111, 273)(112, 274)(113, 275)(114, 276)(115, 277)(116, 278)(117, 279)(118, 280)(119, 281)(120, 282)(121, 283)(122, 284)(123, 285)(124, 286)(125, 287)(126, 288)(127, 289)(128, 290)(129, 291)(130, 292)(131, 293)(132, 294)(133, 295)(134, 296)(135, 297)(136, 298)(137, 299)(138, 300)(139, 301)(140, 302)(141, 303)(142, 304)(143, 305)(144, 306)(145, 307)(146, 308)(147, 309)(148, 310)(149, 311)(150, 312)(151, 313)(152, 314)(153, 315)(154, 316)(155, 317)(156, 318)(157, 319)(158, 320)(159, 321)(160, 322)(161, 323)(162, 324)
	local type(s) :: { ( 2, 18, 2, 18, 2, 18 ) }
Outer automorphisms :: reflexible
Dual of E10.754
Graph:: bipartite
	v = 54 e = 162 f = 90
	degree seq :: [ 6^54 ]

E10.750 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 3, 9})
Quotient :: dipole
Aut^+ = (C3 x C3 x C3) : C3 (small group id <81, 7>)
Aut   = ((C3 x C3 x C3) : C3) : C2 (small group id <162, 19>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, Y1^3, (R * Y1)^2, (R * Y3)^2, (Y1 * Y2)^3, (Y3^-1 * Y1^-1)^3, Y1 * Y2^-1 * Y1^-1 * Y2 * Y1^-1 * Y2^-1 * Y1 * Y2, Y2^3 * Y1 * Y2^-3 * Y1^-1, Y1 * Y2^-4 * Y1 * Y2^-1 * Y1 * Y2^-1, Y2^9 ]
Map::
	R = (1, 82, 2, 83, 4, 85)(3, 84, 8, 89, 10, 91)(5, 86, 13, 94, 14, 95)(6, 87, 16, 97, 18, 99)(7, 88, 19, 100, 20, 101)(9, 90, 24, 105, 26, 107)(11, 92, 29, 110, 31, 112)(12, 93, 32, 113, 22, 103)(15, 96, 37, 118, 38, 119)(17, 98, 41, 122, 43, 124)(21, 102, 49, 130, 50, 131)(23, 104, 40, 121, 53, 134)(25, 106, 42, 123, 58, 139)(27, 108, 61, 142, 63, 144)(28, 109, 45, 126, 55, 136)(30, 111, 64, 145, 65, 146)(33, 114, 69, 150, 56, 137)(34, 115, 46, 127, 67, 148)(35, 116, 71, 152, 72, 153)(36, 117, 48, 129, 52, 133)(39, 120, 51, 132, 70, 151)(44, 125, 54, 135, 80, 161)(47, 128, 57, 138, 81, 162)(59, 140, 78, 159, 74, 155)(60, 141, 68, 149, 77, 158)(62, 143, 79, 160, 73, 154)(66, 147, 76, 157, 75, 156)(163, 244, 165, 246, 171, 252, 187, 268, 219, 300, 237, 318, 201, 282, 177, 258, 167, 248)(164, 245, 168, 249, 179, 260, 204, 285, 239, 320, 225, 306, 213, 294, 183, 264, 169, 250)(166, 247, 173, 254, 192, 273, 220, 301, 233, 314, 242, 323, 232, 313, 195, 276, 174, 255)(170, 251, 184, 265, 214, 295, 243, 324, 227, 308, 236, 317, 199, 280, 216, 297, 185, 266)(172, 253, 189, 270, 224, 305, 209, 290, 181, 262, 208, 289, 200, 281, 203, 284, 190, 271)(175, 256, 196, 277, 218, 299, 186, 267, 217, 298, 193, 274, 228, 309, 235, 316, 197, 278)(176, 257, 198, 279, 222, 303, 188, 269, 221, 302, 211, 292, 238, 319, 202, 283, 178, 259)(180, 261, 206, 287, 241, 322, 230, 311, 194, 275, 229, 310, 212, 293, 226, 307, 207, 288)(182, 263, 210, 291, 234, 315, 205, 286, 240, 321, 231, 312, 223, 304, 215, 296, 191, 272)
	L = (1, 165)(2, 168)(3, 171)(4, 173)(5, 163)(6, 179)(7, 164)(8, 184)(9, 187)(10, 189)(11, 192)(12, 166)(13, 196)(14, 198)(15, 167)(16, 176)(17, 204)(18, 206)(19, 208)(20, 210)(21, 169)(22, 214)(23, 170)(24, 217)(25, 219)(26, 221)(27, 224)(28, 172)(29, 182)(30, 220)(31, 228)(32, 229)(33, 174)(34, 218)(35, 175)(36, 222)(37, 216)(38, 203)(39, 177)(40, 178)(41, 190)(42, 239)(43, 240)(44, 241)(45, 180)(46, 200)(47, 181)(48, 234)(49, 238)(50, 226)(51, 183)(52, 243)(53, 191)(54, 185)(55, 193)(56, 186)(57, 237)(58, 233)(59, 211)(60, 188)(61, 215)(62, 209)(63, 213)(64, 207)(65, 236)(66, 235)(67, 212)(68, 194)(69, 223)(70, 195)(71, 242)(72, 205)(73, 197)(74, 199)(75, 201)(76, 202)(77, 225)(78, 231)(79, 230)(80, 232)(81, 227)(82, 244)(83, 245)(84, 246)(85, 247)(86, 248)(87, 249)(88, 250)(89, 251)(90, 252)(91, 253)(92, 254)(93, 255)(94, 256)(95, 257)(96, 258)(97, 259)(98, 260)(99, 261)(100, 262)(101, 263)(102, 264)(103, 265)(104, 266)(105, 267)(106, 268)(107, 269)(108, 270)(109, 271)(110, 272)(111, 273)(112, 274)(113, 275)(114, 276)(115, 277)(116, 278)(117, 279)(118, 280)(119, 281)(120, 282)(121, 283)(122, 284)(123, 285)(124, 286)(125, 287)(126, 288)(127, 289)(128, 290)(129, 291)(130, 292)(131, 293)(132, 294)(133, 295)(134, 296)(135, 297)(136, 298)(137, 299)(138, 300)(139, 301)(140, 302)(141, 303)(142, 304)(143, 305)(144, 306)(145, 307)(146, 308)(147, 309)(148, 310)(149, 311)(150, 312)(151, 313)(152, 314)(153, 315)(154, 316)(155, 317)(156, 318)(157, 319)(158, 320)(159, 321)(160, 322)(161, 323)(162, 324)
	local type(s) :: { ( 2, 6, 2, 6, 2, 6 ), ( 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6 ) }
Outer automorphisms :: reflexible
Dual of E10.753
Graph:: bipartite
	v = 36 e = 162 f = 108
	degree seq :: [ 6^27, 18^9 ]

E10.751 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 3, 9})
Quotient :: dipole
Aut^+ = (C3 x C3 x C3) : C3 (small group id <81, 7>)
Aut   = ((C3 x C3 x C3) : C3) : C2 (small group id <162, 19>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, Y1^3, (R * Y1)^2, (R * Y3)^2, (Y3^-1 * Y1^-1)^3, Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^2 * Y1, Y2^9 ]
Map::
	R = (1, 82, 2, 83, 4, 85)(3, 84, 8, 89, 10, 91)(5, 86, 13, 94, 14, 95)(6, 87, 16, 97, 18, 99)(7, 88, 19, 100, 20, 101)(9, 90, 24, 105, 26, 107)(11, 92, 29, 110, 31, 112)(12, 93, 32, 113, 22, 103)(15, 96, 37, 118, 38, 119)(17, 98, 27, 108, 42, 123)(21, 102, 46, 127, 47, 128)(23, 104, 36, 117, 50, 131)(25, 106, 41, 122, 54, 135)(28, 109, 58, 139, 52, 133)(30, 111, 43, 124, 60, 141)(33, 114, 61, 142, 35, 116)(34, 115, 63, 144, 64, 145)(39, 120, 48, 129, 62, 143)(40, 121, 45, 126, 66, 147)(44, 125, 65, 146, 57, 138)(49, 130, 55, 136, 59, 140)(51, 132, 73, 154, 74, 155)(53, 134, 72, 153, 76, 157)(56, 137, 78, 159, 69, 150)(67, 148, 81, 162, 68, 149)(70, 151, 75, 156, 77, 158)(71, 152, 80, 161, 79, 160)(163, 244, 165, 246, 171, 252, 187, 268, 215, 296, 229, 310, 201, 282, 177, 258, 167, 248)(164, 245, 168, 249, 179, 260, 203, 284, 231, 312, 233, 314, 210, 291, 183, 264, 169, 250)(166, 247, 173, 254, 192, 273, 216, 297, 239, 320, 235, 316, 224, 305, 195, 276, 174, 255)(170, 251, 184, 265, 211, 292, 234, 315, 222, 303, 228, 309, 199, 280, 213, 294, 185, 266)(172, 253, 189, 270, 219, 300, 238, 319, 242, 323, 225, 306, 200, 281, 181, 262, 190, 271)(175, 256, 196, 277, 193, 274, 186, 267, 214, 295, 237, 318, 243, 324, 227, 308, 197, 278)(176, 257, 198, 279, 218, 299, 188, 269, 217, 298, 208, 289, 230, 311, 202, 283, 178, 259)(180, 261, 205, 286, 226, 307, 240, 321, 236, 317, 220, 301, 209, 290, 194, 275, 206, 287)(182, 263, 207, 288, 232, 313, 204, 285, 212, 293, 223, 304, 241, 322, 221, 302, 191, 272)
	L = (1, 165)(2, 168)(3, 171)(4, 173)(5, 163)(6, 179)(7, 164)(8, 184)(9, 187)(10, 189)(11, 192)(12, 166)(13, 196)(14, 198)(15, 167)(16, 176)(17, 203)(18, 205)(19, 190)(20, 207)(21, 169)(22, 211)(23, 170)(24, 214)(25, 215)(26, 217)(27, 219)(28, 172)(29, 182)(30, 216)(31, 186)(32, 206)(33, 174)(34, 193)(35, 175)(36, 218)(37, 213)(38, 181)(39, 177)(40, 178)(41, 231)(42, 212)(43, 226)(44, 180)(45, 232)(46, 230)(47, 194)(48, 183)(49, 234)(50, 223)(51, 185)(52, 237)(53, 229)(54, 239)(55, 208)(56, 188)(57, 238)(58, 209)(59, 191)(60, 228)(61, 241)(62, 195)(63, 200)(64, 240)(65, 197)(66, 199)(67, 201)(68, 202)(69, 233)(70, 204)(71, 210)(72, 222)(73, 224)(74, 220)(75, 243)(76, 242)(77, 235)(78, 236)(79, 221)(80, 225)(81, 227)(82, 244)(83, 245)(84, 246)(85, 247)(86, 248)(87, 249)(88, 250)(89, 251)(90, 252)(91, 253)(92, 254)(93, 255)(94, 256)(95, 257)(96, 258)(97, 259)(98, 260)(99, 261)(100, 262)(101, 263)(102, 264)(103, 265)(104, 266)(105, 267)(106, 268)(107, 269)(108, 270)(109, 271)(110, 272)(111, 273)(112, 274)(113, 275)(114, 276)(115, 277)(116, 278)(117, 279)(118, 280)(119, 281)(120, 282)(121, 283)(122, 284)(123, 285)(124, 286)(125, 287)(126, 288)(127, 289)(128, 290)(129, 291)(130, 292)(131, 293)(132, 294)(133, 295)(134, 296)(135, 297)(136, 298)(137, 299)(138, 300)(139, 301)(140, 302)(141, 303)(142, 304)(143, 305)(144, 306)(145, 307)(146, 308)(147, 309)(148, 310)(149, 311)(150, 312)(151, 313)(152, 314)(153, 315)(154, 316)(155, 317)(156, 318)(157, 319)(158, 320)(159, 321)(160, 322)(161, 323)(162, 324)
	local type(s) :: { ( 2, 6, 2, 6, 2, 6 ), ( 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6 ) }
Outer automorphisms :: reflexible
Dual of E10.752
Graph:: bipartite
	v = 36 e = 162 f = 108
	degree seq :: [ 6^27, 18^9 ]

E10.752 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 3, 9})
Quotient :: dipole
Aut^+ = (C3 x C3 x C3) : C3 (small group id <81, 7>)
Aut   = ((C3 x C3 x C3) : C3) : C2 (small group id <162, 19>)
|r| :: 2
Presentation :: [ Y1, R^2, Y2^3, (R * Y3)^2, (R * Y1)^2, (Y3 * Y2^-1)^3, (R * Y2 * Y3^-1)^2, Y2 * Y3 * Y2^-1 * Y3^-1 * Y2^-1 * Y3 * Y2 * Y3^-1, Y3^3 * Y2 * Y3^-3 * Y2^-1, Y2 * Y3 * Y2 * Y3^4 * Y2 * Y3, (Y2 * Y3^2)^3, (Y3^-1 * Y1^-1)^9 ]
Map:: polytopal
	R = (1, 82)(2, 83)(3, 84)(4, 85)(5, 86)(6, 87)(7, 88)(8, 89)(9, 90)(10, 91)(11, 92)(12, 93)(13, 94)(14, 95)(15, 96)(16, 97)(17, 98)(18, 99)(19, 100)(20, 101)(21, 102)(22, 103)(23, 104)(24, 105)(25, 106)(26, 107)(27, 108)(28, 109)(29, 110)(30, 111)(31, 112)(32, 113)(33, 114)(34, 115)(35, 116)(36, 117)(37, 118)(38, 119)(39, 120)(40, 121)(41, 122)(42, 123)(43, 124)(44, 125)(45, 126)(46, 127)(47, 128)(48, 129)(49, 130)(50, 131)(51, 132)(52, 133)(53, 134)(54, 135)(55, 136)(56, 137)(57, 138)(58, 139)(59, 140)(60, 141)(61, 142)(62, 143)(63, 144)(64, 145)(65, 146)(66, 147)(67, 148)(68, 149)(69, 150)(70, 151)(71, 152)(72, 153)(73, 154)(74, 155)(75, 156)(76, 157)(77, 158)(78, 159)(79, 160)(80, 161)(81, 162)(163, 244, 164, 245, 166, 247)(165, 246, 170, 251, 172, 253)(167, 248, 175, 256, 176, 257)(168, 249, 178, 259, 180, 261)(169, 250, 181, 262, 182, 263)(171, 252, 186, 267, 188, 269)(173, 254, 190, 271, 192, 273)(174, 255, 193, 274, 194, 275)(177, 258, 199, 280, 200, 281)(179, 260, 204, 285, 206, 287)(183, 264, 211, 292, 212, 293)(184, 265, 214, 295, 216, 297)(185, 266, 203, 284, 217, 298)(187, 268, 205, 286, 222, 303)(189, 270, 207, 288, 223, 304)(191, 272, 226, 307, 218, 299)(195, 276, 230, 311, 231, 312)(196, 277, 208, 289, 227, 308)(197, 278, 209, 290, 228, 309)(198, 279, 233, 314, 234, 315)(201, 282, 213, 294, 232, 313)(202, 283, 237, 318, 238, 319)(210, 291, 220, 301, 240, 321)(215, 296, 235, 316, 241, 322)(219, 300, 236, 317, 242, 323)(221, 302, 229, 310, 239, 320)(224, 305, 225, 306, 243, 324)
	L = (1, 165)(2, 168)(3, 171)(4, 173)(5, 163)(6, 179)(7, 164)(8, 184)(9, 187)(10, 181)(11, 191)(12, 166)(13, 196)(14, 197)(15, 167)(16, 202)(17, 205)(18, 193)(19, 208)(20, 209)(21, 169)(22, 215)(23, 170)(24, 219)(25, 221)(26, 203)(27, 172)(28, 225)(29, 222)(30, 175)(31, 227)(32, 228)(33, 174)(34, 220)(35, 211)(36, 176)(37, 218)(38, 224)(39, 177)(40, 235)(41, 178)(42, 236)(43, 234)(44, 217)(45, 180)(46, 239)(47, 230)(48, 182)(49, 188)(50, 216)(51, 183)(52, 232)(53, 229)(54, 207)(55, 190)(56, 185)(57, 231)(58, 186)(59, 237)(60, 240)(61, 192)(62, 189)(63, 241)(64, 242)(65, 233)(66, 199)(67, 194)(68, 206)(69, 238)(70, 195)(71, 226)(72, 243)(73, 198)(74, 200)(75, 201)(76, 223)(77, 204)(78, 214)(79, 210)(80, 212)(81, 213)(82, 244)(83, 245)(84, 246)(85, 247)(86, 248)(87, 249)(88, 250)(89, 251)(90, 252)(91, 253)(92, 254)(93, 255)(94, 256)(95, 257)(96, 258)(97, 259)(98, 260)(99, 261)(100, 262)(101, 263)(102, 264)(103, 265)(104, 266)(105, 267)(106, 268)(107, 269)(108, 270)(109, 271)(110, 272)(111, 273)(112, 274)(113, 275)(114, 276)(115, 277)(116, 278)(117, 279)(118, 280)(119, 281)(120, 282)(121, 283)(122, 284)(123, 285)(124, 286)(125, 287)(126, 288)(127, 289)(128, 290)(129, 291)(130, 292)(131, 293)(132, 294)(133, 295)(134, 296)(135, 297)(136, 298)(137, 299)(138, 300)(139, 301)(140, 302)(141, 303)(142, 304)(143, 305)(144, 306)(145, 307)(146, 308)(147, 309)(148, 310)(149, 311)(150, 312)(151, 313)(152, 314)(153, 315)(154, 316)(155, 317)(156, 318)(157, 319)(158, 320)(159, 321)(160, 322)(161, 323)(162, 324)
	local type(s) :: { ( 6, 18 ), ( 6, 18, 6, 18, 6, 18 ) }
Outer automorphisms :: reflexible
Dual of E10.751
Graph:: simple bipartite
	v = 108 e = 162 f = 36
	degree seq :: [ 2^81, 6^27 ]

E10.753 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 3, 9})
Quotient :: dipole
Aut^+ = (C3 x C3 x C3) : C3 (small group id <81, 7>)
Aut   = ((C3 x C3 x C3) : C3) : C2 (small group id <162, 19>)
|r| :: 2
Presentation :: [ Y1, R^2, Y2^3, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, (Y3 * Y2^-1)^3, Y3 * Y2 * Y3 * Y2 * Y3^-2 * Y2, (Y2 * Y3^2)^3, (Y3^-1 * Y1^-1)^9 ]
Map:: polytopal
	R = (1, 82)(2, 83)(3, 84)(4, 85)(5, 86)(6, 87)(7, 88)(8, 89)(9, 90)(10, 91)(11, 92)(12, 93)(13, 94)(14, 95)(15, 96)(16, 97)(17, 98)(18, 99)(19, 100)(20, 101)(21, 102)(22, 103)(23, 104)(24, 105)(25, 106)(26, 107)(27, 108)(28, 109)(29, 110)(30, 111)(31, 112)(32, 113)(33, 114)(34, 115)(35, 116)(36, 117)(37, 118)(38, 119)(39, 120)(40, 121)(41, 122)(42, 123)(43, 124)(44, 125)(45, 126)(46, 127)(47, 128)(48, 129)(49, 130)(50, 131)(51, 132)(52, 133)(53, 134)(54, 135)(55, 136)(56, 137)(57, 138)(58, 139)(59, 140)(60, 141)(61, 142)(62, 143)(63, 144)(64, 145)(65, 146)(66, 147)(67, 148)(68, 149)(69, 150)(70, 151)(71, 152)(72, 153)(73, 154)(74, 155)(75, 156)(76, 157)(77, 158)(78, 159)(79, 160)(80, 161)(81, 162)(163, 244, 164, 245, 166, 247)(165, 246, 170, 251, 172, 253)(167, 248, 175, 256, 176, 257)(168, 249, 178, 259, 180, 261)(169, 250, 181, 262, 182, 263)(171, 252, 186, 267, 188, 269)(173, 254, 190, 271, 192, 273)(174, 255, 193, 274, 194, 275)(177, 258, 199, 280, 200, 281)(179, 260, 202, 283, 204, 285)(183, 264, 198, 279, 209, 290)(184, 265, 191, 272, 212, 293)(185, 266, 213, 294, 214, 295)(187, 268, 203, 284, 218, 299)(189, 270, 219, 300, 196, 277)(195, 276, 208, 289, 223, 304)(197, 278, 225, 306, 226, 307)(201, 282, 210, 291, 224, 305)(205, 286, 215, 296, 206, 287)(207, 288, 211, 292, 227, 308)(216, 297, 238, 319, 239, 320)(217, 298, 234, 315, 230, 311)(220, 301, 237, 318, 233, 314)(221, 302, 228, 309, 222, 303)(229, 310, 240, 321, 243, 324)(231, 312, 236, 317, 235, 316)(232, 313, 242, 323, 241, 322)
	L = (1, 165)(2, 168)(3, 171)(4, 173)(5, 163)(6, 179)(7, 164)(8, 184)(9, 187)(10, 181)(11, 191)(12, 166)(13, 196)(14, 197)(15, 167)(16, 188)(17, 203)(18, 193)(19, 206)(20, 207)(21, 169)(22, 211)(23, 170)(24, 215)(25, 217)(26, 213)(27, 172)(28, 204)(29, 218)(30, 175)(31, 222)(32, 185)(33, 174)(34, 216)(35, 178)(36, 176)(37, 194)(38, 220)(39, 177)(40, 228)(41, 231)(42, 225)(43, 180)(44, 230)(45, 190)(46, 182)(47, 232)(48, 183)(49, 234)(50, 219)(51, 236)(52, 208)(53, 223)(54, 186)(55, 229)(56, 238)(57, 209)(58, 189)(59, 192)(60, 235)(61, 240)(62, 195)(63, 239)(64, 199)(65, 198)(66, 200)(67, 201)(68, 202)(69, 233)(70, 205)(71, 210)(72, 242)(73, 212)(74, 243)(75, 214)(76, 241)(77, 237)(78, 221)(79, 224)(80, 226)(81, 227)(82, 244)(83, 245)(84, 246)(85, 247)(86, 248)(87, 249)(88, 250)(89, 251)(90, 252)(91, 253)(92, 254)(93, 255)(94, 256)(95, 257)(96, 258)(97, 259)(98, 260)(99, 261)(100, 262)(101, 263)(102, 264)(103, 265)(104, 266)(105, 267)(106, 268)(107, 269)(108, 270)(109, 271)(110, 272)(111, 273)(112, 274)(113, 275)(114, 276)(115, 277)(116, 278)(117, 279)(118, 280)(119, 281)(120, 282)(121, 283)(122, 284)(123, 285)(124, 286)(125, 287)(126, 288)(127, 289)(128, 290)(129, 291)(130, 292)(131, 293)(132, 294)(133, 295)(134, 296)(135, 297)(136, 298)(137, 299)(138, 300)(139, 301)(140, 302)(141, 303)(142, 304)(143, 305)(144, 306)(145, 307)(146, 308)(147, 309)(148, 310)(149, 311)(150, 312)(151, 313)(152, 314)(153, 315)(154, 316)(155, 317)(156, 318)(157, 319)(158, 320)(159, 321)(160, 322)(161, 323)(162, 324)
	local type(s) :: { ( 6, 18 ), ( 6, 18, 6, 18, 6, 18 ) }
Outer automorphisms :: reflexible
Dual of E10.750
Graph:: simple bipartite
	v = 108 e = 162 f = 36
	degree seq :: [ 2^81, 6^27 ]

E10.754 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 3, 9})
Quotient :: dipole
Aut^+ = (C3 x C3 x C3) : C3 (small group id <81, 7>)
Aut   = ((C3 x C3 x C3) : C3) : C2 (small group id <162, 19>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, (Y1 * Y3)^3, (Y3 * Y2^-1)^3, Y1^-2 * Y3^-1 * Y1 * Y3^-1 * Y1^-2 * Y3^-1, Y3 * Y1^3 * Y3^-1 * Y1^-3, Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1^3, (Y1^2 * Y3^-1)^3, Y1^9 ]
Map:: polytopal
	R = (1, 82, 2, 83, 6, 87, 16, 97, 40, 121, 69, 150, 32, 113, 12, 93, 4, 85)(3, 84, 9, 90, 23, 104, 41, 122, 77, 158, 53, 134, 61, 142, 27, 108, 10, 91)(5, 86, 14, 95, 35, 116, 42, 123, 65, 146, 80, 161, 70, 151, 39, 120, 15, 96)(7, 88, 19, 100, 47, 128, 76, 157, 72, 153, 68, 149, 31, 112, 49, 130, 20, 101)(8, 89, 21, 102, 51, 132, 59, 140, 26, 107, 58, 139, 33, 114, 55, 136, 22, 103)(11, 92, 29, 110, 44, 125, 17, 98, 43, 124, 37, 118, 73, 154, 66, 147, 30, 111)(13, 94, 34, 115, 46, 127, 18, 99, 45, 126, 60, 141, 79, 160, 48, 129, 24, 105)(25, 106, 57, 138, 81, 162, 74, 155, 38, 119, 64, 145, 62, 143, 71, 152, 54, 135)(28, 109, 63, 144, 67, 148, 56, 137, 78, 159, 75, 156, 52, 133, 50, 131, 36, 117)(163, 244)(164, 245)(165, 246)(166, 247)(167, 248)(168, 249)(169, 250)(170, 251)(171, 252)(172, 253)(173, 254)(174, 255)(175, 256)(176, 257)(177, 258)(178, 259)(179, 260)(180, 261)(181, 262)(182, 263)(183, 264)(184, 265)(185, 266)(186, 267)(187, 268)(188, 269)(189, 270)(190, 271)(191, 272)(192, 273)(193, 274)(194, 275)(195, 276)(196, 277)(197, 278)(198, 279)(199, 280)(200, 281)(201, 282)(202, 283)(203, 284)(204, 285)(205, 286)(206, 287)(207, 288)(208, 289)(209, 290)(210, 291)(211, 292)(212, 293)(213, 294)(214, 295)(215, 296)(216, 297)(217, 298)(218, 299)(219, 300)(220, 301)(221, 302)(222, 303)(223, 304)(224, 305)(225, 306)(226, 307)(227, 308)(228, 309)(229, 310)(230, 311)(231, 312)(232, 313)(233, 314)(234, 315)(235, 316)(236, 317)(237, 318)(238, 319)(239, 320)(240, 321)(241, 322)(242, 323)(243, 324)
	L = (1, 165)(2, 169)(3, 167)(4, 173)(5, 163)(6, 179)(7, 170)(8, 164)(9, 186)(10, 188)(11, 175)(12, 193)(13, 166)(14, 198)(15, 200)(16, 203)(17, 180)(18, 168)(19, 177)(20, 210)(21, 214)(22, 216)(23, 217)(24, 187)(25, 171)(26, 190)(27, 222)(28, 172)(29, 220)(30, 227)(31, 195)(32, 223)(33, 174)(34, 225)(35, 233)(36, 199)(37, 176)(38, 181)(39, 237)(40, 238)(41, 204)(42, 178)(43, 184)(44, 201)(45, 240)(46, 236)(47, 196)(48, 212)(49, 242)(50, 182)(51, 243)(52, 215)(53, 183)(54, 205)(55, 218)(56, 185)(57, 211)(58, 226)(59, 202)(60, 224)(61, 232)(62, 189)(63, 209)(64, 191)(65, 229)(66, 213)(67, 192)(68, 207)(69, 235)(70, 194)(71, 234)(72, 197)(73, 241)(74, 239)(75, 206)(76, 221)(77, 208)(78, 230)(79, 231)(80, 219)(81, 228)(82, 244)(83, 245)(84, 246)(85, 247)(86, 248)(87, 249)(88, 250)(89, 251)(90, 252)(91, 253)(92, 254)(93, 255)(94, 256)(95, 257)(96, 258)(97, 259)(98, 260)(99, 261)(100, 262)(101, 263)(102, 264)(103, 265)(104, 266)(105, 267)(106, 268)(107, 269)(108, 270)(109, 271)(110, 272)(111, 273)(112, 274)(113, 275)(114, 276)(115, 277)(116, 278)(117, 279)(118, 280)(119, 281)(120, 282)(121, 283)(122, 284)(123, 285)(124, 286)(125, 287)(126, 288)(127, 289)(128, 290)(129, 291)(130, 292)(131, 293)(132, 294)(133, 295)(134, 296)(135, 297)(136, 298)(137, 299)(138, 300)(139, 301)(140, 302)(141, 303)(142, 304)(143, 305)(144, 306)(145, 307)(146, 308)(147, 309)(148, 310)(149, 311)(150, 312)(151, 313)(152, 314)(153, 315)(154, 316)(155, 317)(156, 318)(157, 319)(158, 320)(159, 321)(160, 322)(161, 323)(162, 324)
	local type(s) :: { ( 6, 6 ), ( 6^18 ) }
Outer automorphisms :: reflexible
Dual of E10.749
Graph:: simple bipartite
	v = 90 e = 162 f = 54
	degree seq :: [ 2^81, 18^9 ]

E10.755 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {3, 3, 9})
Quotient :: edge
Aut^+ = (C9 x C3) : C3 (small group id <81, 9>)
Aut   = ((C9 x C3) : C3) : C2 (small group id <162, 21>)
|r| :: 2
Presentation :: [ F^2, T1^3, (F * T2)^2, (F * T1)^2, (T2^-1 * T1^-1)^3, (T2 * T1^-1)^3, (T2^-1 * T1^-1)^3, T1^-1 * T2^3 * T1 * T2^-3, T2^9 ]
Map:: polytopal non-degenerate
	R = (1, 3, 9, 25, 53, 67, 37, 15, 5)(2, 6, 17, 40, 71, 75, 47, 21, 7)(4, 11, 29, 54, 78, 77, 64, 32, 12)(8, 22, 48, 76, 60, 66, 35, 50, 23)(10, 19, 43, 70, 39, 65, 36, 57, 27)(13, 33, 52, 24, 51, 63, 81, 61, 30)(14, 34, 55, 26, 49, 45, 69, 38, 16)(18, 31, 56, 79, 59, 74, 46, 73, 42)(20, 44, 72, 41, 68, 62, 80, 58, 28)(82, 83, 85)(84, 89, 91)(86, 94, 95)(87, 97, 99)(88, 100, 101)(90, 105, 107)(92, 109, 111)(93, 112, 103)(96, 116, 117)(98, 120, 122)(102, 126, 127)(104, 130, 125)(106, 121, 135)(108, 137, 132)(110, 140, 141)(113, 143, 144)(114, 146, 123)(115, 139, 147)(118, 128, 145)(119, 149, 129)(124, 155, 142)(131, 158, 154)(133, 159, 153)(134, 157, 151)(136, 160, 152)(138, 161, 156)(148, 162, 150)
	L = (1, 82)(2, 83)(3, 84)(4, 85)(5, 86)(6, 87)(7, 88)(8, 89)(9, 90)(10, 91)(11, 92)(12, 93)(13, 94)(14, 95)(15, 96)(16, 97)(17, 98)(18, 99)(19, 100)(20, 101)(21, 102)(22, 103)(23, 104)(24, 105)(25, 106)(26, 107)(27, 108)(28, 109)(29, 110)(30, 111)(31, 112)(32, 113)(33, 114)(34, 115)(35, 116)(36, 117)(37, 118)(38, 119)(39, 120)(40, 121)(41, 122)(42, 123)(43, 124)(44, 125)(45, 126)(46, 127)(47, 128)(48, 129)(49, 130)(50, 131)(51, 132)(52, 133)(53, 134)(54, 135)(55, 136)(56, 137)(57, 138)(58, 139)(59, 140)(60, 141)(61, 142)(62, 143)(63, 144)(64, 145)(65, 146)(66, 147)(67, 148)(68, 149)(69, 150)(70, 151)(71, 152)(72, 153)(73, 154)(74, 155)(75, 156)(76, 157)(77, 158)(78, 159)(79, 160)(80, 161)(81, 162)
	local type(s) :: { ( 6^3 ), ( 6^9 ) }
Outer automorphisms :: reflexible
Dual of E10.756
Transitivity :: ET+
Graph:: simple bipartite
	v = 36 e = 81 f = 27
	degree seq :: [ 3^27, 9^9 ]

E10.756 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {3, 3, 9})
Quotient :: loop
Aut^+ = (C9 x C3) : C3 (small group id <81, 9>)
Aut   = ((C9 x C3) : C3) : C2 (small group id <162, 21>)
|r| :: 2
Presentation :: [ F^2, T1^3, T2^3, (F * T1)^2, (F * T2)^2, (T1 * T2^-1)^3, T2 * T1 * T2 * T1 * T2 * T1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1, (T1^-1 * T2^-1)^9 ]
Map:: polytopal non-degenerate
	R = (1, 82, 3, 84, 5, 86)(2, 83, 6, 87, 7, 88)(4, 85, 10, 91, 11, 92)(8, 89, 18, 99, 19, 100)(9, 90, 16, 97, 20, 101)(12, 93, 25, 106, 22, 103)(13, 94, 26, 107, 27, 108)(14, 95, 28, 109, 29, 110)(15, 96, 23, 104, 30, 111)(17, 98, 31, 112, 32, 113)(21, 102, 38, 119, 39, 120)(24, 105, 40, 121, 41, 122)(33, 114, 53, 134, 54, 135)(34, 115, 36, 117, 55, 136)(35, 116, 56, 137, 57, 138)(37, 118, 51, 132, 58, 139)(42, 123, 64, 145, 60, 141)(43, 124, 44, 125, 65, 146)(45, 126, 66, 147, 67, 148)(46, 127, 68, 149, 69, 150)(47, 128, 49, 130, 70, 151)(48, 129, 71, 152, 72, 153)(50, 131, 62, 143, 73, 154)(52, 133, 74, 155, 75, 156)(59, 140, 76, 157, 77, 158)(61, 142, 78, 159, 79, 160)(63, 144, 80, 161, 81, 162)
	L = (1, 83)(2, 85)(3, 89)(4, 82)(5, 93)(6, 95)(7, 97)(8, 90)(9, 84)(10, 102)(11, 104)(12, 94)(13, 86)(14, 96)(15, 87)(16, 98)(17, 88)(18, 114)(19, 107)(20, 117)(21, 103)(22, 91)(23, 105)(24, 92)(25, 123)(26, 116)(27, 125)(28, 127)(29, 112)(30, 130)(31, 129)(32, 132)(33, 115)(34, 99)(35, 100)(36, 118)(37, 101)(38, 140)(39, 121)(40, 142)(41, 143)(42, 124)(43, 106)(44, 126)(45, 108)(46, 128)(47, 109)(48, 110)(49, 131)(50, 111)(51, 133)(52, 113)(53, 149)(54, 137)(55, 158)(56, 151)(57, 147)(58, 160)(59, 141)(60, 119)(61, 120)(62, 144)(63, 122)(64, 150)(65, 153)(66, 154)(67, 156)(68, 157)(69, 152)(70, 135)(71, 145)(72, 155)(73, 138)(74, 146)(75, 162)(76, 134)(77, 159)(78, 136)(79, 161)(80, 139)(81, 148)
	local type(s) :: { ( 3, 9, 3, 9, 3, 9 ) }
Outer automorphisms :: reflexible
Dual of E10.755
Transitivity :: ET+ VT+ AT
Graph:: simple
	v = 27 e = 81 f = 36
	degree seq :: [ 6^27 ]

E10.757 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 3, 9})
Quotient :: dipole
Aut^+ = (C9 x C3) : C3 (small group id <81, 9>)
Aut   = ((C9 x C3) : C3) : C2 (small group id <162, 21>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, Y1^3, (R * Y1)^2, (R * Y3)^2, (Y2^-1 * Y1^-1)^3, (Y2 * Y1^-1)^3, (Y3^-1 * Y1^-1)^3, Y1^-1 * Y2^3 * Y1 * Y2^-3, Y2^9 ]
Map::
	R = (1, 82, 2, 83, 4, 85)(3, 84, 8, 89, 10, 91)(5, 86, 13, 94, 14, 95)(6, 87, 16, 97, 18, 99)(7, 88, 19, 100, 20, 101)(9, 90, 24, 105, 26, 107)(11, 92, 28, 109, 30, 111)(12, 93, 31, 112, 22, 103)(15, 96, 35, 116, 36, 117)(17, 98, 39, 120, 41, 122)(21, 102, 45, 126, 46, 127)(23, 104, 49, 130, 44, 125)(25, 106, 40, 121, 54, 135)(27, 108, 56, 137, 51, 132)(29, 110, 59, 140, 60, 141)(32, 113, 62, 143, 63, 144)(33, 114, 65, 146, 42, 123)(34, 115, 58, 139, 66, 147)(37, 118, 47, 128, 64, 145)(38, 119, 68, 149, 48, 129)(43, 124, 74, 155, 61, 142)(50, 131, 77, 158, 73, 154)(52, 133, 78, 159, 72, 153)(53, 134, 76, 157, 70, 151)(55, 136, 79, 160, 71, 152)(57, 138, 80, 161, 75, 156)(67, 148, 81, 162, 69, 150)(163, 244, 165, 246, 171, 252, 187, 268, 215, 296, 229, 310, 199, 280, 177, 258, 167, 248)(164, 245, 168, 249, 179, 260, 202, 283, 233, 314, 237, 318, 209, 290, 183, 264, 169, 250)(166, 247, 173, 254, 191, 272, 216, 297, 240, 321, 239, 320, 226, 307, 194, 275, 174, 255)(170, 251, 184, 265, 210, 291, 238, 319, 222, 303, 228, 309, 197, 278, 212, 293, 185, 266)(172, 253, 181, 262, 205, 286, 232, 313, 201, 282, 227, 308, 198, 279, 219, 300, 189, 270)(175, 256, 195, 276, 214, 295, 186, 267, 213, 294, 225, 306, 243, 324, 223, 304, 192, 273)(176, 257, 196, 277, 217, 298, 188, 269, 211, 292, 207, 288, 231, 312, 200, 281, 178, 259)(180, 261, 193, 274, 218, 299, 241, 322, 221, 302, 236, 317, 208, 289, 235, 316, 204, 285)(182, 263, 206, 287, 234, 315, 203, 284, 230, 311, 224, 305, 242, 323, 220, 301, 190, 271)
	L = (1, 165)(2, 168)(3, 171)(4, 173)(5, 163)(6, 179)(7, 164)(8, 184)(9, 187)(10, 181)(11, 191)(12, 166)(13, 195)(14, 196)(15, 167)(16, 176)(17, 202)(18, 193)(19, 205)(20, 206)(21, 169)(22, 210)(23, 170)(24, 213)(25, 215)(26, 211)(27, 172)(28, 182)(29, 216)(30, 175)(31, 218)(32, 174)(33, 214)(34, 217)(35, 212)(36, 219)(37, 177)(38, 178)(39, 227)(40, 233)(41, 230)(42, 180)(43, 232)(44, 234)(45, 231)(46, 235)(47, 183)(48, 238)(49, 207)(50, 185)(51, 225)(52, 186)(53, 229)(54, 240)(55, 188)(56, 241)(57, 189)(58, 190)(59, 236)(60, 228)(61, 192)(62, 242)(63, 243)(64, 194)(65, 198)(66, 197)(67, 199)(68, 224)(69, 200)(70, 201)(71, 237)(72, 203)(73, 204)(74, 208)(75, 209)(76, 222)(77, 226)(78, 239)(79, 221)(80, 220)(81, 223)(82, 244)(83, 245)(84, 246)(85, 247)(86, 248)(87, 249)(88, 250)(89, 251)(90, 252)(91, 253)(92, 254)(93, 255)(94, 256)(95, 257)(96, 258)(97, 259)(98, 260)(99, 261)(100, 262)(101, 263)(102, 264)(103, 265)(104, 266)(105, 267)(106, 268)(107, 269)(108, 270)(109, 271)(110, 272)(111, 273)(112, 274)(113, 275)(114, 276)(115, 277)(116, 278)(117, 279)(118, 280)(119, 281)(120, 282)(121, 283)(122, 284)(123, 285)(124, 286)(125, 287)(126, 288)(127, 289)(128, 290)(129, 291)(130, 292)(131, 293)(132, 294)(133, 295)(134, 296)(135, 297)(136, 298)(137, 299)(138, 300)(139, 301)(140, 302)(141, 303)(142, 304)(143, 305)(144, 306)(145, 307)(146, 308)(147, 309)(148, 310)(149, 311)(150, 312)(151, 313)(152, 314)(153, 315)(154, 316)(155, 317)(156, 318)(157, 319)(158, 320)(159, 321)(160, 322)(161, 323)(162, 324)
	local type(s) :: { ( 2, 6, 2, 6, 2, 6 ), ( 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6 ) }
Outer automorphisms :: reflexible
Dual of E10.758
Graph:: bipartite
	v = 36 e = 162 f = 108
	degree seq :: [ 6^27, 18^9 ]

E10.758 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 3, 9})
Quotient :: dipole
Aut^+ = (C9 x C3) : C3 (small group id <81, 9>)
Aut   = ((C9 x C3) : C3) : C2 (small group id <162, 21>)
|r| :: 2
Presentation :: [ Y1, R^2, Y2^3, (R * Y3)^2, (R * Y1)^2, (Y3 * Y2^-1)^3, (R * Y2 * Y3^-1)^2, (Y3^-1 * Y2^-1)^3, (Y3 * Y2^-1)^3, Y3^-1 * Y2 * Y3^3 * Y2^-1 * Y3^-2, Y3 * Y2^-1 * Y3^-1 * Y2^-1 * Y3 * Y2 * Y3^2 * Y2, (Y3^-1 * Y1^-1)^9 ]
Map:: polytopal
	R = (1, 82)(2, 83)(3, 84)(4, 85)(5, 86)(6, 87)(7, 88)(8, 89)(9, 90)(10, 91)(11, 92)(12, 93)(13, 94)(14, 95)(15, 96)(16, 97)(17, 98)(18, 99)(19, 100)(20, 101)(21, 102)(22, 103)(23, 104)(24, 105)(25, 106)(26, 107)(27, 108)(28, 109)(29, 110)(30, 111)(31, 112)(32, 113)(33, 114)(34, 115)(35, 116)(36, 117)(37, 118)(38, 119)(39, 120)(40, 121)(41, 122)(42, 123)(43, 124)(44, 125)(45, 126)(46, 127)(47, 128)(48, 129)(49, 130)(50, 131)(51, 132)(52, 133)(53, 134)(54, 135)(55, 136)(56, 137)(57, 138)(58, 139)(59, 140)(60, 141)(61, 142)(62, 143)(63, 144)(64, 145)(65, 146)(66, 147)(67, 148)(68, 149)(69, 150)(70, 151)(71, 152)(72, 153)(73, 154)(74, 155)(75, 156)(76, 157)(77, 158)(78, 159)(79, 160)(80, 161)(81, 162)(163, 244, 164, 245, 166, 247)(165, 246, 170, 251, 172, 253)(167, 248, 175, 256, 176, 257)(168, 249, 178, 259, 180, 261)(169, 250, 181, 262, 182, 263)(171, 252, 186, 267, 188, 269)(173, 254, 190, 271, 192, 273)(174, 255, 193, 274, 184, 265)(177, 258, 197, 278, 198, 279)(179, 260, 201, 282, 203, 284)(183, 264, 207, 288, 208, 289)(185, 266, 211, 292, 206, 287)(187, 268, 202, 283, 216, 297)(189, 270, 218, 299, 213, 294)(191, 272, 221, 302, 222, 303)(194, 275, 224, 305, 225, 306)(195, 276, 227, 308, 204, 285)(196, 277, 220, 301, 228, 309)(199, 280, 209, 290, 226, 307)(200, 281, 230, 311, 210, 291)(205, 286, 236, 317, 223, 304)(212, 293, 239, 320, 235, 316)(214, 295, 240, 321, 234, 315)(215, 296, 238, 319, 232, 313)(217, 298, 241, 322, 233, 314)(219, 300, 242, 323, 237, 318)(229, 310, 243, 324, 231, 312)
	L = (1, 165)(2, 168)(3, 171)(4, 173)(5, 163)(6, 179)(7, 164)(8, 184)(9, 187)(10, 181)(11, 191)(12, 166)(13, 195)(14, 196)(15, 167)(16, 176)(17, 202)(18, 193)(19, 205)(20, 206)(21, 169)(22, 210)(23, 170)(24, 213)(25, 215)(26, 211)(27, 172)(28, 182)(29, 216)(30, 175)(31, 218)(32, 174)(33, 214)(34, 217)(35, 212)(36, 219)(37, 177)(38, 178)(39, 227)(40, 233)(41, 230)(42, 180)(43, 232)(44, 234)(45, 231)(46, 235)(47, 183)(48, 238)(49, 207)(50, 185)(51, 225)(52, 186)(53, 229)(54, 240)(55, 188)(56, 241)(57, 189)(58, 190)(59, 236)(60, 228)(61, 192)(62, 242)(63, 243)(64, 194)(65, 198)(66, 197)(67, 199)(68, 224)(69, 200)(70, 201)(71, 237)(72, 203)(73, 204)(74, 208)(75, 209)(76, 222)(77, 226)(78, 239)(79, 221)(80, 220)(81, 223)(82, 244)(83, 245)(84, 246)(85, 247)(86, 248)(87, 249)(88, 250)(89, 251)(90, 252)(91, 253)(92, 254)(93, 255)(94, 256)(95, 257)(96, 258)(97, 259)(98, 260)(99, 261)(100, 262)(101, 263)(102, 264)(103, 265)(104, 266)(105, 267)(106, 268)(107, 269)(108, 270)(109, 271)(110, 272)(111, 273)(112, 274)(113, 275)(114, 276)(115, 277)(116, 278)(117, 279)(118, 280)(119, 281)(120, 282)(121, 283)(122, 284)(123, 285)(124, 286)(125, 287)(126, 288)(127, 289)(128, 290)(129, 291)(130, 292)(131, 293)(132, 294)(133, 295)(134, 296)(135, 297)(136, 298)(137, 299)(138, 300)(139, 301)(140, 302)(141, 303)(142, 304)(143, 305)(144, 306)(145, 307)(146, 308)(147, 309)(148, 310)(149, 311)(150, 312)(151, 313)(152, 314)(153, 315)(154, 316)(155, 317)(156, 318)(157, 319)(158, 320)(159, 321)(160, 322)(161, 323)(162, 324)
	local type(s) :: { ( 6, 18 ), ( 6, 18, 6, 18, 6, 18 ) }
Outer automorphisms :: reflexible
Dual of E10.757
Graph:: simple bipartite
	v = 108 e = 162 f = 36
	degree seq :: [ 2^81, 6^27 ]

E10.759 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 4, 22})
Quotient :: regular
Aut^+ = (C22 x C2) : C2 (small group id <88, 7>)
Aut   = D8 x D22 (small group id <176, 31>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, (T1^-2 * T2)^2, (T1 * T2)^4, T1^22 ]
Map:: polytopal non-degenerate
	R = (1, 2, 5, 11, 20, 29, 37, 45, 53, 61, 69, 77, 76, 68, 60, 52, 44, 36, 28, 19, 10, 4)(3, 7, 15, 25, 33, 41, 49, 57, 65, 73, 81, 85, 78, 71, 62, 55, 46, 39, 30, 22, 12, 8)(6, 13, 9, 18, 27, 35, 43, 51, 59, 67, 75, 83, 84, 79, 70, 63, 54, 47, 38, 31, 21, 14)(16, 23, 17, 24, 32, 40, 48, 56, 64, 72, 80, 86, 88, 87, 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, 84)(79, 86)(83, 87)(85, 88)
	local type(s) :: { ( 4^22 ) }
Outer automorphisms :: reflexible
Dual of E10.760
Transitivity :: ET+ VT+ AT+ REG+
Graph:: bipartite
	v = 4 e = 44 f = 22
	degree seq :: [ 22^4 ]

E10.760 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 4, 22})
Quotient :: regular
Aut^+ = (C22 x C2) : C2 (small group id <88, 7>)
Aut   = D8 x D22 (small group id <176, 31>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T1^4, (T1^-1 * T2 * T1^-1)^2, (T1 * T2)^22 ]
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, 42, 32, 37)(35, 53, 39, 55)(36, 59, 38, 62)(40, 66, 41, 57)(43, 64, 44, 60)(45, 70, 46, 68)(47, 75, 48, 73)(49, 79, 50, 77)(51, 83, 52, 81)(54, 87, 56, 85)(58, 82, 67, 84)(61, 80, 65, 78)(63, 86, 72, 88)(69, 76, 71, 74)
	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, 53)(34, 55)(35, 57)(36, 60)(37, 62)(38, 64)(39, 66)(40, 68)(41, 70)(42, 59)(43, 73)(44, 75)(45, 77)(46, 79)(47, 81)(48, 83)(49, 85)(50, 87)(51, 86)(52, 88)(54, 82)(56, 84)(58, 74)(61, 71)(63, 78)(65, 69)(67, 76)(72, 80)
	local type(s) :: { ( 22^4 ) }
Outer automorphisms :: reflexible
Dual of E10.759
Transitivity :: ET+ VT+ AT+ REG+
Graph:: bipartite
	v = 22 e = 44 f = 4
	degree seq :: [ 4^22 ]

E10.761 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 4, 22})
Quotient :: edge
Aut^+ = (C22 x C2) : C2 (small group id <88, 7>)
Aut   = D8 x D22 (small group id <176, 31>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T1)^2, (F * T2)^2, T2^4, (T2^-1 * T1 * T2^-1)^2, (T2 * T1)^22 ]
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, 61, 34, 63)(35, 66, 42, 68)(36, 70, 45, 67)(37, 72, 38, 69)(39, 77, 40, 65)(41, 75, 43, 73)(44, 80, 46, 78)(47, 74, 48, 71)(49, 79, 50, 76)(51, 84, 52, 82)(53, 86, 54, 85)(55, 83, 56, 81)(57, 88, 58, 87)(59, 64, 60, 62)(89, 90)(91, 95)(92, 97)(93, 98)(94, 100)(96, 99)(101, 105)(102, 106)(103, 107)(104, 108)(109, 113)(110, 114)(111, 115)(112, 116)(117, 121)(118, 122)(119, 143)(120, 144)(123, 153)(124, 157)(125, 159)(126, 162)(127, 164)(128, 167)(129, 154)(130, 165)(131, 156)(132, 158)(133, 160)(134, 155)(135, 169)(136, 171)(137, 151)(138, 149)(139, 163)(140, 161)(141, 168)(142, 166)(145, 172)(146, 170)(147, 174)(148, 173)(150, 176)(152, 175)
	L = (1, 89)(2, 90)(3, 91)(4, 92)(5, 93)(6, 94)(7, 95)(8, 96)(9, 97)(10, 98)(11, 99)(12, 100)(13, 101)(14, 102)(15, 103)(16, 104)(17, 105)(18, 106)(19, 107)(20, 108)(21, 109)(22, 110)(23, 111)(24, 112)(25, 113)(26, 114)(27, 115)(28, 116)(29, 117)(30, 118)(31, 119)(32, 120)(33, 121)(34, 122)(35, 123)(36, 124)(37, 125)(38, 126)(39, 127)(40, 128)(41, 129)(42, 130)(43, 131)(44, 132)(45, 133)(46, 134)(47, 135)(48, 136)(49, 137)(50, 138)(51, 139)(52, 140)(53, 141)(54, 142)(55, 143)(56, 144)(57, 145)(58, 146)(59, 147)(60, 148)(61, 149)(62, 150)(63, 151)(64, 152)(65, 153)(66, 154)(67, 155)(68, 156)(69, 157)(70, 158)(71, 159)(72, 160)(73, 161)(74, 162)(75, 163)(76, 164)(77, 165)(78, 166)(79, 167)(80, 168)(81, 169)(82, 170)(83, 171)(84, 172)(85, 173)(86, 174)(87, 175)(88, 176)
	local type(s) :: { ( 44, 44 ), ( 44^4 ) }
Outer automorphisms :: reflexible
Dual of E10.765
Transitivity :: ET+
Graph:: simple bipartite
	v = 66 e = 88 f = 4
	degree seq :: [ 2^44, 4^22 ]

E10.762 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 4, 22})
Quotient :: edge
Aut^+ = (C22 x C2) : C2 (small group id <88, 7>)
Aut   = D8 x D22 (small group id <176, 31>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, T1^4, (T2^-1 * T1^-1)^2, (T2 * T1^-1)^2, T2^22 ]
Map:: polytopal non-degenerate
	R = (1, 3, 10, 18, 26, 34, 42, 50, 58, 66, 74, 82, 76, 68, 60, 52, 44, 36, 28, 20, 12, 5)(2, 7, 15, 23, 31, 39, 47, 55, 63, 71, 79, 86, 80, 72, 64, 56, 48, 40, 32, 24, 16, 8)(4, 11, 19, 27, 35, 43, 51, 59, 67, 75, 83, 87, 81, 73, 65, 57, 49, 41, 33, 25, 17, 9)(6, 13, 21, 29, 37, 45, 53, 61, 69, 77, 84, 88, 85, 78, 70, 62, 54, 46, 38, 30, 22, 14)(89, 90, 94, 92)(91, 97, 101, 96)(93, 99, 102, 95)(98, 104, 109, 105)(100, 103, 110, 107)(106, 113, 117, 112)(108, 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, 172, 169)(164, 167, 173, 171)(170, 175, 176, 174)
	L = (1, 89)(2, 90)(3, 91)(4, 92)(5, 93)(6, 94)(7, 95)(8, 96)(9, 97)(10, 98)(11, 99)(12, 100)(13, 101)(14, 102)(15, 103)(16, 104)(17, 105)(18, 106)(19, 107)(20, 108)(21, 109)(22, 110)(23, 111)(24, 112)(25, 113)(26, 114)(27, 115)(28, 116)(29, 117)(30, 118)(31, 119)(32, 120)(33, 121)(34, 122)(35, 123)(36, 124)(37, 125)(38, 126)(39, 127)(40, 128)(41, 129)(42, 130)(43, 131)(44, 132)(45, 133)(46, 134)(47, 135)(48, 136)(49, 137)(50, 138)(51, 139)(52, 140)(53, 141)(54, 142)(55, 143)(56, 144)(57, 145)(58, 146)(59, 147)(60, 148)(61, 149)(62, 150)(63, 151)(64, 152)(65, 153)(66, 154)(67, 155)(68, 156)(69, 157)(70, 158)(71, 159)(72, 160)(73, 161)(74, 162)(75, 163)(76, 164)(77, 165)(78, 166)(79, 167)(80, 168)(81, 169)(82, 170)(83, 171)(84, 172)(85, 173)(86, 174)(87, 175)(88, 176)
	local type(s) :: { ( 4^4 ), ( 4^22 ) }
Outer automorphisms :: reflexible
Dual of E10.766
Transitivity :: ET+
Graph:: simple bipartite
	v = 26 e = 88 f = 44
	degree seq :: [ 4^22, 22^4 ]

E10.763 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 4, 22})
Quotient :: edge
Aut^+ = (C22 x C2) : C2 (small group id <88, 7>)
Aut   = D8 x D22 (small group id <176, 31>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, (T1^-2 * T2)^2, (T2 * T1)^4, T1^22 ]
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, 84)(79, 86)(83, 87)(85, 88)(89, 90, 93, 99, 108, 117, 125, 133, 141, 149, 157, 165, 164, 156, 148, 140, 132, 124, 116, 107, 98, 92)(91, 95, 103, 113, 121, 129, 137, 145, 153, 161, 169, 173, 166, 159, 150, 143, 134, 127, 118, 110, 100, 96)(94, 101, 97, 106, 115, 123, 131, 139, 147, 155, 163, 171, 172, 167, 158, 151, 142, 135, 126, 119, 109, 102)(104, 111, 105, 112, 120, 128, 136, 144, 152, 160, 168, 174, 176, 175, 170, 162, 154, 146, 138, 130, 122, 114)
	L = (1, 89)(2, 90)(3, 91)(4, 92)(5, 93)(6, 94)(7, 95)(8, 96)(9, 97)(10, 98)(11, 99)(12, 100)(13, 101)(14, 102)(15, 103)(16, 104)(17, 105)(18, 106)(19, 107)(20, 108)(21, 109)(22, 110)(23, 111)(24, 112)(25, 113)(26, 114)(27, 115)(28, 116)(29, 117)(30, 118)(31, 119)(32, 120)(33, 121)(34, 122)(35, 123)(36, 124)(37, 125)(38, 126)(39, 127)(40, 128)(41, 129)(42, 130)(43, 131)(44, 132)(45, 133)(46, 134)(47, 135)(48, 136)(49, 137)(50, 138)(51, 139)(52, 140)(53, 141)(54, 142)(55, 143)(56, 144)(57, 145)(58, 146)(59, 147)(60, 148)(61, 149)(62, 150)(63, 151)(64, 152)(65, 153)(66, 154)(67, 155)(68, 156)(69, 157)(70, 158)(71, 159)(72, 160)(73, 161)(74, 162)(75, 163)(76, 164)(77, 165)(78, 166)(79, 167)(80, 168)(81, 169)(82, 170)(83, 171)(84, 172)(85, 173)(86, 174)(87, 175)(88, 176)
	local type(s) :: { ( 8, 8 ), ( 8^22 ) }
Outer automorphisms :: reflexible
Dual of E10.764
Transitivity :: ET+
Graph:: simple bipartite
	v = 48 e = 88 f = 22
	degree seq :: [ 2^44, 22^4 ]

E10.764 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 4, 22})
Quotient :: loop
Aut^+ = (C22 x C2) : C2 (small group id <88, 7>)
Aut   = D8 x D22 (small group id <176, 31>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T1)^2, (F * T2)^2, T2^4, (T2^-1 * T1 * T2^-1)^2, (T2 * T1)^22 ]
Map::
	R = (1, 89, 3, 91, 8, 96, 4, 92)(2, 90, 5, 93, 11, 99, 6, 94)(7, 95, 13, 101, 9, 97, 14, 102)(10, 98, 15, 103, 12, 100, 16, 104)(17, 105, 21, 109, 18, 106, 22, 110)(19, 107, 23, 111, 20, 108, 24, 112)(25, 113, 29, 117, 26, 114, 30, 118)(27, 115, 31, 119, 28, 116, 32, 120)(33, 121, 42, 130, 34, 122, 36, 124)(35, 123, 53, 141, 41, 129, 55, 143)(37, 125, 62, 150, 38, 126, 59, 147)(39, 127, 67, 155, 40, 128, 57, 145)(43, 131, 64, 152, 44, 132, 61, 149)(45, 133, 69, 157, 46, 134, 66, 154)(47, 135, 75, 163, 48, 136, 73, 161)(49, 137, 79, 167, 50, 138, 77, 165)(51, 139, 83, 171, 52, 140, 81, 169)(54, 142, 87, 175, 56, 144, 85, 173)(58, 146, 82, 170, 71, 159, 84, 172)(60, 148, 86, 174, 72, 160, 88, 176)(63, 151, 80, 168, 65, 153, 78, 166)(68, 156, 76, 164, 70, 158, 74, 162)
	L = (1, 90)(2, 89)(3, 95)(4, 97)(5, 98)(6, 100)(7, 91)(8, 99)(9, 92)(10, 93)(11, 96)(12, 94)(13, 105)(14, 106)(15, 107)(16, 108)(17, 101)(18, 102)(19, 103)(20, 104)(21, 113)(22, 114)(23, 115)(24, 116)(25, 109)(26, 110)(27, 111)(28, 112)(29, 121)(30, 122)(31, 141)(32, 143)(33, 117)(34, 118)(35, 145)(36, 147)(37, 149)(38, 152)(39, 154)(40, 157)(41, 155)(42, 150)(43, 161)(44, 163)(45, 165)(46, 167)(47, 169)(48, 171)(49, 173)(50, 175)(51, 174)(52, 176)(53, 119)(54, 170)(55, 120)(56, 172)(57, 123)(58, 162)(59, 124)(60, 166)(61, 125)(62, 130)(63, 158)(64, 126)(65, 156)(66, 127)(67, 129)(68, 153)(69, 128)(70, 151)(71, 164)(72, 168)(73, 131)(74, 146)(75, 132)(76, 159)(77, 133)(78, 148)(79, 134)(80, 160)(81, 135)(82, 142)(83, 136)(84, 144)(85, 137)(86, 139)(87, 138)(88, 140)
	local type(s) :: { ( 2, 22, 2, 22, 2, 22, 2, 22 ) }
Outer automorphisms :: reflexible
Dual of E10.763
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 22 e = 88 f = 48
	degree seq :: [ 8^22 ]

E10.765 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 4, 22})
Quotient :: loop
Aut^+ = (C22 x C2) : C2 (small group id <88, 7>)
Aut   = D8 x D22 (small group id <176, 31>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, T1^4, (T2^-1 * T1^-1)^2, (T2 * T1^-1)^2, T2^22 ]
Map::
	R = (1, 89, 3, 91, 10, 98, 18, 106, 26, 114, 34, 122, 42, 130, 50, 138, 58, 146, 66, 154, 74, 162, 82, 170, 76, 164, 68, 156, 60, 148, 52, 140, 44, 132, 36, 124, 28, 116, 20, 108, 12, 100, 5, 93)(2, 90, 7, 95, 15, 103, 23, 111, 31, 119, 39, 127, 47, 135, 55, 143, 63, 151, 71, 159, 79, 167, 86, 174, 80, 168, 72, 160, 64, 152, 56, 144, 48, 136, 40, 128, 32, 120, 24, 112, 16, 104, 8, 96)(4, 92, 11, 99, 19, 107, 27, 115, 35, 123, 43, 131, 51, 139, 59, 147, 67, 155, 75, 163, 83, 171, 87, 175, 81, 169, 73, 161, 65, 153, 57, 145, 49, 137, 41, 129, 33, 121, 25, 113, 17, 105, 9, 97)(6, 94, 13, 101, 21, 109, 29, 117, 37, 125, 45, 133, 53, 141, 61, 149, 69, 157, 77, 165, 84, 172, 88, 176, 85, 173, 78, 166, 70, 158, 62, 150, 54, 142, 46, 134, 38, 126, 30, 118, 22, 110, 14, 102)
	L = (1, 90)(2, 94)(3, 97)(4, 89)(5, 99)(6, 92)(7, 93)(8, 91)(9, 101)(10, 104)(11, 102)(12, 103)(13, 96)(14, 95)(15, 110)(16, 109)(17, 98)(18, 113)(19, 100)(20, 115)(21, 105)(22, 107)(23, 108)(24, 106)(25, 117)(26, 120)(27, 118)(28, 119)(29, 112)(30, 111)(31, 126)(32, 125)(33, 114)(34, 129)(35, 116)(36, 131)(37, 121)(38, 123)(39, 124)(40, 122)(41, 133)(42, 136)(43, 134)(44, 135)(45, 128)(46, 127)(47, 142)(48, 141)(49, 130)(50, 145)(51, 132)(52, 147)(53, 137)(54, 139)(55, 140)(56, 138)(57, 149)(58, 152)(59, 150)(60, 151)(61, 144)(62, 143)(63, 158)(64, 157)(65, 146)(66, 161)(67, 148)(68, 163)(69, 153)(70, 155)(71, 156)(72, 154)(73, 165)(74, 168)(75, 166)(76, 167)(77, 160)(78, 159)(79, 173)(80, 172)(81, 162)(82, 175)(83, 164)(84, 169)(85, 171)(86, 170)(87, 176)(88, 174)
	local type(s) :: { ( 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4 ) }
Outer automorphisms :: reflexible
Dual of E10.761
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 4 e = 88 f = 66
	degree seq :: [ 44^4 ]

E10.766 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 4, 22})
Quotient :: loop
Aut^+ = (C22 x C2) : C2 (small group id <88, 7>)
Aut   = D8 x D22 (small group id <176, 31>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, (T1^-2 * T2)^2, (T2 * T1)^4, T1^22 ]
Map:: polytopal non-degenerate
	R = (1, 89, 3, 91)(2, 90, 6, 94)(4, 92, 9, 97)(5, 93, 12, 100)(7, 95, 16, 104)(8, 96, 17, 105)(10, 98, 15, 103)(11, 99, 21, 109)(13, 101, 23, 111)(14, 102, 24, 112)(18, 106, 26, 114)(19, 107, 27, 115)(20, 108, 30, 118)(22, 110, 32, 120)(25, 113, 34, 122)(28, 116, 33, 121)(29, 117, 38, 126)(31, 119, 40, 128)(35, 123, 42, 130)(36, 124, 43, 131)(37, 125, 46, 134)(39, 127, 48, 136)(41, 129, 50, 138)(44, 132, 49, 137)(45, 133, 54, 142)(47, 135, 56, 144)(51, 139, 58, 146)(52, 140, 59, 147)(53, 141, 62, 150)(55, 143, 64, 152)(57, 145, 66, 154)(60, 148, 65, 153)(61, 149, 70, 158)(63, 151, 72, 160)(67, 155, 74, 162)(68, 156, 75, 163)(69, 157, 78, 166)(71, 159, 80, 168)(73, 161, 82, 170)(76, 164, 81, 169)(77, 165, 84, 172)(79, 167, 86, 174)(83, 171, 87, 175)(85, 173, 88, 176)
	L = (1, 90)(2, 93)(3, 95)(4, 89)(5, 99)(6, 101)(7, 103)(8, 91)(9, 106)(10, 92)(11, 108)(12, 96)(13, 97)(14, 94)(15, 113)(16, 111)(17, 112)(18, 115)(19, 98)(20, 117)(21, 102)(22, 100)(23, 105)(24, 120)(25, 121)(26, 104)(27, 123)(28, 107)(29, 125)(30, 110)(31, 109)(32, 128)(33, 129)(34, 114)(35, 131)(36, 116)(37, 133)(38, 119)(39, 118)(40, 136)(41, 137)(42, 122)(43, 139)(44, 124)(45, 141)(46, 127)(47, 126)(48, 144)(49, 145)(50, 130)(51, 147)(52, 132)(53, 149)(54, 135)(55, 134)(56, 152)(57, 153)(58, 138)(59, 155)(60, 140)(61, 157)(62, 143)(63, 142)(64, 160)(65, 161)(66, 146)(67, 163)(68, 148)(69, 165)(70, 151)(71, 150)(72, 168)(73, 169)(74, 154)(75, 171)(76, 156)(77, 164)(78, 159)(79, 158)(80, 174)(81, 173)(82, 162)(83, 172)(84, 167)(85, 166)(86, 176)(87, 170)(88, 175)
	local type(s) :: { ( 4, 22, 4, 22 ) }
Outer automorphisms :: reflexible
Dual of E10.762
Transitivity :: ET+ VT+ AT
Graph:: simple bipartite
	v = 44 e = 88 f = 26
	degree seq :: [ 4^44 ]

E10.767 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 22})
Quotient :: dipole
Aut^+ = (C22 x C2) : C2 (small group id <88, 7>)
Aut   = D8 x D22 (small group id <176, 31>)
|r| :: 2
Presentation :: [ Y1^2, 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)^22 ]
Map::
	R = (1, 89, 2, 90)(3, 91, 7, 95)(4, 92, 9, 97)(5, 93, 10, 98)(6, 94, 12, 100)(8, 96, 11, 99)(13, 101, 17, 105)(14, 102, 18, 106)(15, 103, 19, 107)(16, 104, 20, 108)(21, 109, 25, 113)(22, 110, 26, 114)(23, 111, 27, 115)(24, 112, 28, 116)(29, 117, 33, 121)(30, 118, 34, 122)(31, 119, 40, 128)(32, 120, 35, 123)(36, 124, 54, 142)(37, 125, 53, 141)(38, 126, 55, 143)(39, 127, 56, 144)(41, 129, 57, 145)(42, 130, 58, 146)(43, 131, 59, 147)(44, 132, 60, 148)(45, 133, 61, 149)(46, 134, 62, 150)(47, 135, 63, 151)(48, 136, 64, 152)(49, 137, 65, 153)(50, 138, 66, 154)(51, 139, 67, 155)(52, 140, 68, 156)(69, 157, 73, 161)(70, 158, 74, 162)(71, 159, 76, 164)(72, 160, 75, 163)(77, 165, 87, 175)(78, 166, 88, 176)(79, 167, 85, 173)(80, 168, 86, 174)(81, 169, 84, 172)(82, 170, 83, 171)(177, 265, 179, 267, 184, 272, 180, 268)(178, 266, 181, 269, 187, 275, 182, 270)(183, 271, 189, 277, 185, 273, 190, 278)(186, 274, 191, 279, 188, 276, 192, 280)(193, 281, 197, 285, 194, 282, 198, 286)(195, 283, 199, 287, 196, 284, 200, 288)(201, 289, 205, 293, 202, 290, 206, 294)(203, 291, 207, 295, 204, 292, 208, 296)(209, 297, 229, 317, 210, 298, 230, 318)(211, 299, 231, 319, 216, 304, 232, 320)(212, 300, 233, 321, 213, 301, 234, 322)(214, 302, 235, 323, 215, 303, 236, 324)(217, 305, 237, 325, 218, 306, 238, 326)(219, 307, 239, 327, 220, 308, 240, 328)(221, 309, 241, 329, 222, 310, 242, 330)(223, 311, 243, 331, 224, 312, 244, 332)(225, 313, 245, 333, 226, 314, 246, 334)(227, 315, 247, 335, 228, 316, 248, 336)(249, 337, 264, 352, 250, 338, 263, 351)(251, 339, 261, 349, 252, 340, 262, 350)(253, 341, 260, 348, 254, 342, 259, 347)(255, 343, 258, 346, 256, 344, 257, 345)
	L = (1, 178)(2, 177)(3, 183)(4, 185)(5, 186)(6, 188)(7, 179)(8, 187)(9, 180)(10, 181)(11, 184)(12, 182)(13, 193)(14, 194)(15, 195)(16, 196)(17, 189)(18, 190)(19, 191)(20, 192)(21, 201)(22, 202)(23, 203)(24, 204)(25, 197)(26, 198)(27, 199)(28, 200)(29, 209)(30, 210)(31, 216)(32, 211)(33, 205)(34, 206)(35, 208)(36, 230)(37, 229)(38, 231)(39, 232)(40, 207)(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, 213)(54, 212)(55, 214)(56, 215)(57, 217)(58, 218)(59, 219)(60, 220)(61, 221)(62, 222)(63, 223)(64, 224)(65, 225)(66, 226)(67, 227)(68, 228)(69, 249)(70, 250)(71, 252)(72, 251)(73, 245)(74, 246)(75, 248)(76, 247)(77, 263)(78, 264)(79, 261)(80, 262)(81, 260)(82, 259)(83, 258)(84, 257)(85, 255)(86, 256)(87, 253)(88, 254)(89, 265)(90, 266)(91, 267)(92, 268)(93, 269)(94, 270)(95, 271)(96, 272)(97, 273)(98, 274)(99, 275)(100, 276)(101, 277)(102, 278)(103, 279)(104, 280)(105, 281)(106, 282)(107, 283)(108, 284)(109, 285)(110, 286)(111, 287)(112, 288)(113, 289)(114, 290)(115, 291)(116, 292)(117, 293)(118, 294)(119, 295)(120, 296)(121, 297)(122, 298)(123, 299)(124, 300)(125, 301)(126, 302)(127, 303)(128, 304)(129, 305)(130, 306)(131, 307)(132, 308)(133, 309)(134, 310)(135, 311)(136, 312)(137, 313)(138, 314)(139, 315)(140, 316)(141, 317)(142, 318)(143, 319)(144, 320)(145, 321)(146, 322)(147, 323)(148, 324)(149, 325)(150, 326)(151, 327)(152, 328)(153, 329)(154, 330)(155, 331)(156, 332)(157, 333)(158, 334)(159, 335)(160, 336)(161, 337)(162, 338)(163, 339)(164, 340)(165, 341)(166, 342)(167, 343)(168, 344)(169, 345)(170, 346)(171, 347)(172, 348)(173, 349)(174, 350)(175, 351)(176, 352)
	local type(s) :: { ( 2, 44, 2, 44 ), ( 2, 44, 2, 44, 2, 44, 2, 44 ) }
Outer automorphisms :: reflexible
Dual of E10.770
Graph:: bipartite
	v = 66 e = 176 f = 92
	degree seq :: [ 4^44, 8^22 ]

E10.768 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 22})
Quotient :: dipole
Aut^+ = (C22 x C2) : C2 (small group id <88, 7>)
Aut   = D8 x D22 (small group id <176, 31>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, (Y2^-1 * Y1^-1)^2, (R * Y1)^2, (R * Y3)^2, (Y2^-1 * Y1)^2, (Y3^-1 * Y1^-1)^2, Y1^4, Y2^22 ]
Map::
	R = (1, 89, 2, 90, 6, 94, 4, 92)(3, 91, 9, 97, 13, 101, 8, 96)(5, 93, 11, 99, 14, 102, 7, 95)(10, 98, 16, 104, 21, 109, 17, 105)(12, 100, 15, 103, 22, 110, 19, 107)(18, 106, 25, 113, 29, 117, 24, 112)(20, 108, 27, 115, 30, 118, 23, 111)(26, 114, 32, 120, 37, 125, 33, 121)(28, 116, 31, 119, 38, 126, 35, 123)(34, 122, 41, 129, 45, 133, 40, 128)(36, 124, 43, 131, 46, 134, 39, 127)(42, 130, 48, 136, 53, 141, 49, 137)(44, 132, 47, 135, 54, 142, 51, 139)(50, 138, 57, 145, 61, 149, 56, 144)(52, 140, 59, 147, 62, 150, 55, 143)(58, 146, 64, 152, 69, 157, 65, 153)(60, 148, 63, 151, 70, 158, 67, 155)(66, 154, 73, 161, 77, 165, 72, 160)(68, 156, 75, 163, 78, 166, 71, 159)(74, 162, 80, 168, 84, 172, 81, 169)(76, 164, 79, 167, 85, 173, 83, 171)(82, 170, 87, 175, 88, 176, 86, 174)(177, 265, 179, 267, 186, 274, 194, 282, 202, 290, 210, 298, 218, 306, 226, 314, 234, 322, 242, 330, 250, 338, 258, 346, 252, 340, 244, 332, 236, 324, 228, 316, 220, 308, 212, 300, 204, 292, 196, 284, 188, 276, 181, 269)(178, 266, 183, 271, 191, 279, 199, 287, 207, 295, 215, 303, 223, 311, 231, 319, 239, 327, 247, 335, 255, 343, 262, 350, 256, 344, 248, 336, 240, 328, 232, 320, 224, 312, 216, 304, 208, 296, 200, 288, 192, 280, 184, 272)(180, 268, 187, 275, 195, 283, 203, 291, 211, 299, 219, 307, 227, 315, 235, 323, 243, 331, 251, 339, 259, 347, 263, 351, 257, 345, 249, 337, 241, 329, 233, 321, 225, 313, 217, 305, 209, 297, 201, 289, 193, 281, 185, 273)(182, 270, 189, 277, 197, 285, 205, 293, 213, 301, 221, 309, 229, 317, 237, 325, 245, 333, 253, 341, 260, 348, 264, 352, 261, 349, 254, 342, 246, 334, 238, 326, 230, 318, 222, 310, 214, 302, 206, 294, 198, 286, 190, 278)
	L = (1, 179)(2, 183)(3, 186)(4, 187)(5, 177)(6, 189)(7, 191)(8, 178)(9, 180)(10, 194)(11, 195)(12, 181)(13, 197)(14, 182)(15, 199)(16, 184)(17, 185)(18, 202)(19, 203)(20, 188)(21, 205)(22, 190)(23, 207)(24, 192)(25, 193)(26, 210)(27, 211)(28, 196)(29, 213)(30, 198)(31, 215)(32, 200)(33, 201)(34, 218)(35, 219)(36, 204)(37, 221)(38, 206)(39, 223)(40, 208)(41, 209)(42, 226)(43, 227)(44, 212)(45, 229)(46, 214)(47, 231)(48, 216)(49, 217)(50, 234)(51, 235)(52, 220)(53, 237)(54, 222)(55, 239)(56, 224)(57, 225)(58, 242)(59, 243)(60, 228)(61, 245)(62, 230)(63, 247)(64, 232)(65, 233)(66, 250)(67, 251)(68, 236)(69, 253)(70, 238)(71, 255)(72, 240)(73, 241)(74, 258)(75, 259)(76, 244)(77, 260)(78, 246)(79, 262)(80, 248)(81, 249)(82, 252)(83, 263)(84, 264)(85, 254)(86, 256)(87, 257)(88, 261)(89, 265)(90, 266)(91, 267)(92, 268)(93, 269)(94, 270)(95, 271)(96, 272)(97, 273)(98, 274)(99, 275)(100, 276)(101, 277)(102, 278)(103, 279)(104, 280)(105, 281)(106, 282)(107, 283)(108, 284)(109, 285)(110, 286)(111, 287)(112, 288)(113, 289)(114, 290)(115, 291)(116, 292)(117, 293)(118, 294)(119, 295)(120, 296)(121, 297)(122, 298)(123, 299)(124, 300)(125, 301)(126, 302)(127, 303)(128, 304)(129, 305)(130, 306)(131, 307)(132, 308)(133, 309)(134, 310)(135, 311)(136, 312)(137, 313)(138, 314)(139, 315)(140, 316)(141, 317)(142, 318)(143, 319)(144, 320)(145, 321)(146, 322)(147, 323)(148, 324)(149, 325)(150, 326)(151, 327)(152, 328)(153, 329)(154, 330)(155, 331)(156, 332)(157, 333)(158, 334)(159, 335)(160, 336)(161, 337)(162, 338)(163, 339)(164, 340)(165, 341)(166, 342)(167, 343)(168, 344)(169, 345)(170, 346)(171, 347)(172, 348)(173, 349)(174, 350)(175, 351)(176, 352)
	local type(s) :: { ( 2, 4, 2, 4, 2, 4, 2, 4 ), ( 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 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 E10.769
Graph:: bipartite
	v = 26 e = 176 f = 132
	degree seq :: [ 8^22, 44^4 ]

E10.769 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 22})
Quotient :: dipole
Aut^+ = (C22 x C2) : C2 (small group id <88, 7>)
Aut   = D8 x D22 (small group id <176, 31>)
|r| :: 2
Presentation :: [ Y1, Y2^2, R^2, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, (Y3^-2 * Y2)^2, Y3^-1 * Y2 * Y3^-1 * Y2 * Y3 * Y2 * Y3 * Y2, (Y3^-1 * Y1^-1)^22 ]
Map:: polytopal
	R = (1, 89)(2, 90)(3, 91)(4, 92)(5, 93)(6, 94)(7, 95)(8, 96)(9, 97)(10, 98)(11, 99)(12, 100)(13, 101)(14, 102)(15, 103)(16, 104)(17, 105)(18, 106)(19, 107)(20, 108)(21, 109)(22, 110)(23, 111)(24, 112)(25, 113)(26, 114)(27, 115)(28, 116)(29, 117)(30, 118)(31, 119)(32, 120)(33, 121)(34, 122)(35, 123)(36, 124)(37, 125)(38, 126)(39, 127)(40, 128)(41, 129)(42, 130)(43, 131)(44, 132)(45, 133)(46, 134)(47, 135)(48, 136)(49, 137)(50, 138)(51, 139)(52, 140)(53, 141)(54, 142)(55, 143)(56, 144)(57, 145)(58, 146)(59, 147)(60, 148)(61, 149)(62, 150)(63, 151)(64, 152)(65, 153)(66, 154)(67, 155)(68, 156)(69, 157)(70, 158)(71, 159)(72, 160)(73, 161)(74, 162)(75, 163)(76, 164)(77, 165)(78, 166)(79, 167)(80, 168)(81, 169)(82, 170)(83, 171)(84, 172)(85, 173)(86, 174)(87, 175)(88, 176)(177, 265, 178, 266)(179, 267, 183, 271)(180, 268, 185, 273)(181, 269, 187, 275)(182, 270, 189, 277)(184, 272, 190, 278)(186, 274, 188, 276)(191, 279, 196, 284)(192, 280, 199, 287)(193, 281, 201, 289)(194, 282, 197, 285)(195, 283, 203, 291)(198, 286, 205, 293)(200, 288, 207, 295)(202, 290, 208, 296)(204, 292, 206, 294)(209, 297, 215, 303)(210, 298, 217, 305)(211, 299, 213, 301)(212, 300, 219, 307)(214, 302, 221, 309)(216, 304, 223, 311)(218, 306, 224, 312)(220, 308, 222, 310)(225, 313, 231, 319)(226, 314, 233, 321)(227, 315, 229, 317)(228, 316, 235, 323)(230, 318, 237, 325)(232, 320, 239, 327)(234, 322, 240, 328)(236, 324, 238, 326)(241, 329, 247, 335)(242, 330, 249, 337)(243, 331, 245, 333)(244, 332, 251, 339)(246, 334, 253, 341)(248, 336, 255, 343)(250, 338, 256, 344)(252, 340, 254, 342)(257, 345, 262, 350)(258, 346, 263, 351)(259, 347, 260, 348)(261, 349, 264, 352)
	L = (1, 179)(2, 181)(3, 184)(4, 177)(5, 188)(6, 178)(7, 191)(8, 193)(9, 194)(10, 180)(11, 196)(12, 198)(13, 199)(14, 182)(15, 185)(16, 183)(17, 202)(18, 203)(19, 186)(20, 189)(21, 187)(22, 206)(23, 207)(24, 190)(25, 192)(26, 210)(27, 211)(28, 195)(29, 197)(30, 214)(31, 215)(32, 200)(33, 201)(34, 218)(35, 219)(36, 204)(37, 205)(38, 222)(39, 223)(40, 208)(41, 209)(42, 226)(43, 227)(44, 212)(45, 213)(46, 230)(47, 231)(48, 216)(49, 217)(50, 234)(51, 235)(52, 220)(53, 221)(54, 238)(55, 239)(56, 224)(57, 225)(58, 242)(59, 243)(60, 228)(61, 229)(62, 246)(63, 247)(64, 232)(65, 233)(66, 250)(67, 251)(68, 236)(69, 237)(70, 254)(71, 255)(72, 240)(73, 241)(74, 258)(75, 259)(76, 244)(77, 245)(78, 261)(79, 262)(80, 248)(81, 249)(82, 252)(83, 263)(84, 253)(85, 256)(86, 264)(87, 257)(88, 260)(89, 265)(90, 266)(91, 267)(92, 268)(93, 269)(94, 270)(95, 271)(96, 272)(97, 273)(98, 274)(99, 275)(100, 276)(101, 277)(102, 278)(103, 279)(104, 280)(105, 281)(106, 282)(107, 283)(108, 284)(109, 285)(110, 286)(111, 287)(112, 288)(113, 289)(114, 290)(115, 291)(116, 292)(117, 293)(118, 294)(119, 295)(120, 296)(121, 297)(122, 298)(123, 299)(124, 300)(125, 301)(126, 302)(127, 303)(128, 304)(129, 305)(130, 306)(131, 307)(132, 308)(133, 309)(134, 310)(135, 311)(136, 312)(137, 313)(138, 314)(139, 315)(140, 316)(141, 317)(142, 318)(143, 319)(144, 320)(145, 321)(146, 322)(147, 323)(148, 324)(149, 325)(150, 326)(151, 327)(152, 328)(153, 329)(154, 330)(155, 331)(156, 332)(157, 333)(158, 334)(159, 335)(160, 336)(161, 337)(162, 338)(163, 339)(164, 340)(165, 341)(166, 342)(167, 343)(168, 344)(169, 345)(170, 346)(171, 347)(172, 348)(173, 349)(174, 350)(175, 351)(176, 352)
	local type(s) :: { ( 8, 44 ), ( 8, 44, 8, 44 ) }
Outer automorphisms :: reflexible
Dual of E10.768
Graph:: simple bipartite
	v = 132 e = 176 f = 26
	degree seq :: [ 2^88, 4^44 ]

E10.770 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 22})
Quotient :: dipole
Aut^+ = (C22 x C2) : C2 (small group id <88, 7>)
Aut   = D8 x D22 (small group id <176, 31>)
|r| :: 2
Presentation :: [ 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, Y1^22 ]
Map:: polytopal
	R = (1, 89, 2, 90, 5, 93, 11, 99, 20, 108, 29, 117, 37, 125, 45, 133, 53, 141, 61, 149, 69, 157, 77, 165, 76, 164, 68, 156, 60, 148, 52, 140, 44, 132, 36, 124, 28, 116, 19, 107, 10, 98, 4, 92)(3, 91, 7, 95, 15, 103, 25, 113, 33, 121, 41, 129, 49, 137, 57, 145, 65, 153, 73, 161, 81, 169, 85, 173, 78, 166, 71, 159, 62, 150, 55, 143, 46, 134, 39, 127, 30, 118, 22, 110, 12, 100, 8, 96)(6, 94, 13, 101, 9, 97, 18, 106, 27, 115, 35, 123, 43, 131, 51, 139, 59, 147, 67, 155, 75, 163, 83, 171, 84, 172, 79, 167, 70, 158, 63, 151, 54, 142, 47, 135, 38, 126, 31, 119, 21, 109, 14, 102)(16, 104, 23, 111, 17, 105, 24, 112, 32, 120, 40, 128, 48, 136, 56, 144, 64, 152, 72, 160, 80, 168, 86, 174, 88, 176, 87, 175, 82, 170, 74, 162, 66, 154, 58, 146, 50, 138, 42, 130, 34, 122, 26, 114)(177, 265)(178, 266)(179, 267)(180, 268)(181, 269)(182, 270)(183, 271)(184, 272)(185, 273)(186, 274)(187, 275)(188, 276)(189, 277)(190, 278)(191, 279)(192, 280)(193, 281)(194, 282)(195, 283)(196, 284)(197, 285)(198, 286)(199, 287)(200, 288)(201, 289)(202, 290)(203, 291)(204, 292)(205, 293)(206, 294)(207, 295)(208, 296)(209, 297)(210, 298)(211, 299)(212, 300)(213, 301)(214, 302)(215, 303)(216, 304)(217, 305)(218, 306)(219, 307)(220, 308)(221, 309)(222, 310)(223, 311)(224, 312)(225, 313)(226, 314)(227, 315)(228, 316)(229, 317)(230, 318)(231, 319)(232, 320)(233, 321)(234, 322)(235, 323)(236, 324)(237, 325)(238, 326)(239, 327)(240, 328)(241, 329)(242, 330)(243, 331)(244, 332)(245, 333)(246, 334)(247, 335)(248, 336)(249, 337)(250, 338)(251, 339)(252, 340)(253, 341)(254, 342)(255, 343)(256, 344)(257, 345)(258, 346)(259, 347)(260, 348)(261, 349)(262, 350)(263, 351)(264, 352)
	L = (1, 179)(2, 182)(3, 177)(4, 185)(5, 188)(6, 178)(7, 192)(8, 193)(9, 180)(10, 191)(11, 197)(12, 181)(13, 199)(14, 200)(15, 186)(16, 183)(17, 184)(18, 202)(19, 203)(20, 206)(21, 187)(22, 208)(23, 189)(24, 190)(25, 210)(26, 194)(27, 195)(28, 209)(29, 214)(30, 196)(31, 216)(32, 198)(33, 204)(34, 201)(35, 218)(36, 219)(37, 222)(38, 205)(39, 224)(40, 207)(41, 226)(42, 211)(43, 212)(44, 225)(45, 230)(46, 213)(47, 232)(48, 215)(49, 220)(50, 217)(51, 234)(52, 235)(53, 238)(54, 221)(55, 240)(56, 223)(57, 242)(58, 227)(59, 228)(60, 241)(61, 246)(62, 229)(63, 248)(64, 231)(65, 236)(66, 233)(67, 250)(68, 251)(69, 254)(70, 237)(71, 256)(72, 239)(73, 258)(74, 243)(75, 244)(76, 257)(77, 260)(78, 245)(79, 262)(80, 247)(81, 252)(82, 249)(83, 263)(84, 253)(85, 264)(86, 255)(87, 259)(88, 261)(89, 265)(90, 266)(91, 267)(92, 268)(93, 269)(94, 270)(95, 271)(96, 272)(97, 273)(98, 274)(99, 275)(100, 276)(101, 277)(102, 278)(103, 279)(104, 280)(105, 281)(106, 282)(107, 283)(108, 284)(109, 285)(110, 286)(111, 287)(112, 288)(113, 289)(114, 290)(115, 291)(116, 292)(117, 293)(118, 294)(119, 295)(120, 296)(121, 297)(122, 298)(123, 299)(124, 300)(125, 301)(126, 302)(127, 303)(128, 304)(129, 305)(130, 306)(131, 307)(132, 308)(133, 309)(134, 310)(135, 311)(136, 312)(137, 313)(138, 314)(139, 315)(140, 316)(141, 317)(142, 318)(143, 319)(144, 320)(145, 321)(146, 322)(147, 323)(148, 324)(149, 325)(150, 326)(151, 327)(152, 328)(153, 329)(154, 330)(155, 331)(156, 332)(157, 333)(158, 334)(159, 335)(160, 336)(161, 337)(162, 338)(163, 339)(164, 340)(165, 341)(166, 342)(167, 343)(168, 344)(169, 345)(170, 346)(171, 347)(172, 348)(173, 349)(174, 350)(175, 351)(176, 352)
	local type(s) :: { ( 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 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 E10.767
Graph:: simple bipartite
	v = 92 e = 176 f = 66
	degree seq :: [ 2^88, 44^4 ]

E10.771 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 22})
Quotient :: dipole
Aut^+ = (C22 x C2) : C2 (small group id <88, 7>)
Aut   = D8 x D22 (small group id <176, 31>)
|r| :: 2
Presentation :: [ Y1^2, 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, Y2^22 ]
Map::
	R = (1, 89, 2, 90)(3, 91, 7, 95)(4, 92, 9, 97)(5, 93, 11, 99)(6, 94, 13, 101)(8, 96, 14, 102)(10, 98, 12, 100)(15, 103, 20, 108)(16, 104, 23, 111)(17, 105, 25, 113)(18, 106, 21, 109)(19, 107, 27, 115)(22, 110, 29, 117)(24, 112, 31, 119)(26, 114, 32, 120)(28, 116, 30, 118)(33, 121, 39, 127)(34, 122, 41, 129)(35, 123, 37, 125)(36, 124, 43, 131)(38, 126, 45, 133)(40, 128, 47, 135)(42, 130, 48, 136)(44, 132, 46, 134)(49, 137, 55, 143)(50, 138, 57, 145)(51, 139, 53, 141)(52, 140, 59, 147)(54, 142, 61, 149)(56, 144, 63, 151)(58, 146, 64, 152)(60, 148, 62, 150)(65, 153, 71, 159)(66, 154, 73, 161)(67, 155, 69, 157)(68, 156, 75, 163)(70, 158, 77, 165)(72, 160, 79, 167)(74, 162, 80, 168)(76, 164, 78, 166)(81, 169, 86, 174)(82, 170, 87, 175)(83, 171, 84, 172)(85, 173, 88, 176)(177, 265, 179, 267, 184, 272, 193, 281, 202, 290, 210, 298, 218, 306, 226, 314, 234, 322, 242, 330, 250, 338, 258, 346, 252, 340, 244, 332, 236, 324, 228, 316, 220, 308, 212, 300, 204, 292, 195, 283, 186, 274, 180, 268)(178, 266, 181, 269, 188, 276, 198, 286, 206, 294, 214, 302, 222, 310, 230, 318, 238, 326, 246, 334, 254, 342, 261, 349, 256, 344, 248, 336, 240, 328, 232, 320, 224, 312, 216, 304, 208, 296, 200, 288, 190, 278, 182, 270)(183, 271, 191, 279, 185, 273, 194, 282, 203, 291, 211, 299, 219, 307, 227, 315, 235, 323, 243, 331, 251, 339, 259, 347, 263, 351, 257, 345, 249, 337, 241, 329, 233, 321, 225, 313, 217, 305, 209, 297, 201, 289, 192, 280)(187, 275, 196, 284, 189, 277, 199, 287, 207, 295, 215, 303, 223, 311, 231, 319, 239, 327, 247, 335, 255, 343, 262, 350, 264, 352, 260, 348, 253, 341, 245, 333, 237, 325, 229, 317, 221, 309, 213, 301, 205, 293, 197, 285)
	L = (1, 178)(2, 177)(3, 183)(4, 185)(5, 187)(6, 189)(7, 179)(8, 190)(9, 180)(10, 188)(11, 181)(12, 186)(13, 182)(14, 184)(15, 196)(16, 199)(17, 201)(18, 197)(19, 203)(20, 191)(21, 194)(22, 205)(23, 192)(24, 207)(25, 193)(26, 208)(27, 195)(28, 206)(29, 198)(30, 204)(31, 200)(32, 202)(33, 215)(34, 217)(35, 213)(36, 219)(37, 211)(38, 221)(39, 209)(40, 223)(41, 210)(42, 224)(43, 212)(44, 222)(45, 214)(46, 220)(47, 216)(48, 218)(49, 231)(50, 233)(51, 229)(52, 235)(53, 227)(54, 237)(55, 225)(56, 239)(57, 226)(58, 240)(59, 228)(60, 238)(61, 230)(62, 236)(63, 232)(64, 234)(65, 247)(66, 249)(67, 245)(68, 251)(69, 243)(70, 253)(71, 241)(72, 255)(73, 242)(74, 256)(75, 244)(76, 254)(77, 246)(78, 252)(79, 248)(80, 250)(81, 262)(82, 263)(83, 260)(84, 259)(85, 264)(86, 257)(87, 258)(88, 261)(89, 265)(90, 266)(91, 267)(92, 268)(93, 269)(94, 270)(95, 271)(96, 272)(97, 273)(98, 274)(99, 275)(100, 276)(101, 277)(102, 278)(103, 279)(104, 280)(105, 281)(106, 282)(107, 283)(108, 284)(109, 285)(110, 286)(111, 287)(112, 288)(113, 289)(114, 290)(115, 291)(116, 292)(117, 293)(118, 294)(119, 295)(120, 296)(121, 297)(122, 298)(123, 299)(124, 300)(125, 301)(126, 302)(127, 303)(128, 304)(129, 305)(130, 306)(131, 307)(132, 308)(133, 309)(134, 310)(135, 311)(136, 312)(137, 313)(138, 314)(139, 315)(140, 316)(141, 317)(142, 318)(143, 319)(144, 320)(145, 321)(146, 322)(147, 323)(148, 324)(149, 325)(150, 326)(151, 327)(152, 328)(153, 329)(154, 330)(155, 331)(156, 332)(157, 333)(158, 334)(159, 335)(160, 336)(161, 337)(162, 338)(163, 339)(164, 340)(165, 341)(166, 342)(167, 343)(168, 344)(169, 345)(170, 346)(171, 347)(172, 348)(173, 349)(174, 350)(175, 351)(176, 352)
	local type(s) :: { ( 2, 8, 2, 8 ), ( 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8 ) }
Outer automorphisms :: reflexible
Dual of E10.772
Graph:: bipartite
	v = 48 e = 176 f = 110
	degree seq :: [ 4^44, 44^4 ]

E10.772 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 22})
Quotient :: dipole
Aut^+ = (C22 x C2) : C2 (small group id <88, 7>)
Aut   = D8 x D22 (small group id <176, 31>)
|r| :: 2
Presentation :: [ 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)^22 ]
Map:: polytopal
	R = (1, 89, 2, 90, 6, 94, 4, 92)(3, 91, 9, 97, 13, 101, 8, 96)(5, 93, 11, 99, 14, 102, 7, 95)(10, 98, 16, 104, 21, 109, 17, 105)(12, 100, 15, 103, 22, 110, 19, 107)(18, 106, 25, 113, 29, 117, 24, 112)(20, 108, 27, 115, 30, 118, 23, 111)(26, 114, 32, 120, 37, 125, 33, 121)(28, 116, 31, 119, 38, 126, 35, 123)(34, 122, 41, 129, 45, 133, 40, 128)(36, 124, 43, 131, 46, 134, 39, 127)(42, 130, 48, 136, 53, 141, 49, 137)(44, 132, 47, 135, 54, 142, 51, 139)(50, 138, 57, 145, 61, 149, 56, 144)(52, 140, 59, 147, 62, 150, 55, 143)(58, 146, 64, 152, 69, 157, 65, 153)(60, 148, 63, 151, 70, 158, 67, 155)(66, 154, 73, 161, 77, 165, 72, 160)(68, 156, 75, 163, 78, 166, 71, 159)(74, 162, 80, 168, 84, 172, 81, 169)(76, 164, 79, 167, 85, 173, 83, 171)(82, 170, 87, 175, 88, 176, 86, 174)(177, 265)(178, 266)(179, 267)(180, 268)(181, 269)(182, 270)(183, 271)(184, 272)(185, 273)(186, 274)(187, 275)(188, 276)(189, 277)(190, 278)(191, 279)(192, 280)(193, 281)(194, 282)(195, 283)(196, 284)(197, 285)(198, 286)(199, 287)(200, 288)(201, 289)(202, 290)(203, 291)(204, 292)(205, 293)(206, 294)(207, 295)(208, 296)(209, 297)(210, 298)(211, 299)(212, 300)(213, 301)(214, 302)(215, 303)(216, 304)(217, 305)(218, 306)(219, 307)(220, 308)(221, 309)(222, 310)(223, 311)(224, 312)(225, 313)(226, 314)(227, 315)(228, 316)(229, 317)(230, 318)(231, 319)(232, 320)(233, 321)(234, 322)(235, 323)(236, 324)(237, 325)(238, 326)(239, 327)(240, 328)(241, 329)(242, 330)(243, 331)(244, 332)(245, 333)(246, 334)(247, 335)(248, 336)(249, 337)(250, 338)(251, 339)(252, 340)(253, 341)(254, 342)(255, 343)(256, 344)(257, 345)(258, 346)(259, 347)(260, 348)(261, 349)(262, 350)(263, 351)(264, 352)
	L = (1, 179)(2, 183)(3, 186)(4, 187)(5, 177)(6, 189)(7, 191)(8, 178)(9, 180)(10, 194)(11, 195)(12, 181)(13, 197)(14, 182)(15, 199)(16, 184)(17, 185)(18, 202)(19, 203)(20, 188)(21, 205)(22, 190)(23, 207)(24, 192)(25, 193)(26, 210)(27, 211)(28, 196)(29, 213)(30, 198)(31, 215)(32, 200)(33, 201)(34, 218)(35, 219)(36, 204)(37, 221)(38, 206)(39, 223)(40, 208)(41, 209)(42, 226)(43, 227)(44, 212)(45, 229)(46, 214)(47, 231)(48, 216)(49, 217)(50, 234)(51, 235)(52, 220)(53, 237)(54, 222)(55, 239)(56, 224)(57, 225)(58, 242)(59, 243)(60, 228)(61, 245)(62, 230)(63, 247)(64, 232)(65, 233)(66, 250)(67, 251)(68, 236)(69, 253)(70, 238)(71, 255)(72, 240)(73, 241)(74, 258)(75, 259)(76, 244)(77, 260)(78, 246)(79, 262)(80, 248)(81, 249)(82, 252)(83, 263)(84, 264)(85, 254)(86, 256)(87, 257)(88, 261)(89, 265)(90, 266)(91, 267)(92, 268)(93, 269)(94, 270)(95, 271)(96, 272)(97, 273)(98, 274)(99, 275)(100, 276)(101, 277)(102, 278)(103, 279)(104, 280)(105, 281)(106, 282)(107, 283)(108, 284)(109, 285)(110, 286)(111, 287)(112, 288)(113, 289)(114, 290)(115, 291)(116, 292)(117, 293)(118, 294)(119, 295)(120, 296)(121, 297)(122, 298)(123, 299)(124, 300)(125, 301)(126, 302)(127, 303)(128, 304)(129, 305)(130, 306)(131, 307)(132, 308)(133, 309)(134, 310)(135, 311)(136, 312)(137, 313)(138, 314)(139, 315)(140, 316)(141, 317)(142, 318)(143, 319)(144, 320)(145, 321)(146, 322)(147, 323)(148, 324)(149, 325)(150, 326)(151, 327)(152, 328)(153, 329)(154, 330)(155, 331)(156, 332)(157, 333)(158, 334)(159, 335)(160, 336)(161, 337)(162, 338)(163, 339)(164, 340)(165, 341)(166, 342)(167, 343)(168, 344)(169, 345)(170, 346)(171, 347)(172, 348)(173, 349)(174, 350)(175, 351)(176, 352)
	local type(s) :: { ( 4, 44 ), ( 4, 44, 4, 44, 4, 44, 4, 44 ) }
Outer automorphisms :: reflexible
Dual of E10.771
Graph:: simple bipartite
	v = 110 e = 176 f = 48
	degree seq :: [ 2^88, 8^22 ]

E10.773 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 2, 3})
Quotient :: halfedge^2
Aut^+ = (((C3 x C3) : C3) : C2) : C2 (small group id <108, 17>)
Aut   = (((C3 x C3) : C3) : C4) : C2 (small group id <216, 87>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, Y3^2, R^2, R * Y3 * R * Y2, (R * Y1)^2, (Y3 * Y1 * Y2 * Y1)^2, (Y1 * Y2 * Y3)^3, Y3 * Y2 * Y3 * Y1 * Y3 * Y2 * Y3 * Y2 * Y1 * Y2, (Y3 * Y1)^6, (Y2 * Y1)^6 ]
Map:: polytopal non-degenerate
	R = (1, 110, 2, 109)(3, 115, 7, 111)(4, 117, 9, 112)(5, 119, 11, 113)(6, 121, 13, 114)(8, 125, 17, 116)(10, 129, 21, 118)(12, 133, 25, 120)(14, 137, 29, 122)(15, 139, 31, 123)(16, 135, 27, 124)(18, 144, 36, 126)(19, 132, 24, 127)(20, 147, 39, 128)(22, 151, 43, 130)(23, 153, 45, 131)(26, 157, 49, 134)(28, 160, 52, 136)(30, 163, 55, 138)(32, 167, 59, 140)(33, 146, 38, 141)(34, 166, 58, 142)(35, 170, 62, 143)(37, 158, 50, 145)(40, 178, 70, 148)(41, 179, 71, 149)(42, 176, 68, 150)(44, 164, 56, 152)(46, 183, 75, 154)(47, 159, 51, 155)(48, 186, 78, 156)(53, 193, 85, 161)(54, 194, 86, 162)(57, 182, 74, 165)(60, 199, 91, 168)(61, 200, 92, 169)(63, 204, 96, 171)(64, 205, 97, 172)(65, 202, 94, 173)(66, 201, 93, 174)(67, 207, 99, 175)(69, 192, 84, 177)(72, 212, 104, 180)(73, 208, 100, 181)(76, 198, 90, 184)(77, 203, 95, 185)(79, 206, 98, 187)(80, 210, 102, 188)(81, 197, 89, 189)(82, 213, 105, 190)(83, 211, 103, 191)(87, 209, 101, 195)(88, 214, 106, 196)(107, 216, 108, 215)
	L = (1, 3)(2, 5)(4, 10)(6, 14)(7, 15)(8, 18)(9, 19)(11, 23)(12, 26)(13, 27)(16, 33)(17, 34)(20, 40)(21, 41)(22, 44)(24, 47)(25, 42)(28, 53)(29, 54)(30, 56)(31, 57)(32, 60)(35, 63)(36, 64)(37, 66)(38, 67)(39, 68)(43, 72)(45, 74)(46, 76)(48, 79)(49, 80)(50, 82)(51, 83)(52, 58)(55, 87)(59, 65)(61, 93)(62, 94)(69, 101)(70, 102)(71, 103)(73, 98)(75, 81)(77, 105)(78, 89)(84, 104)(85, 97)(86, 99)(88, 96)(90, 100)(91, 106)(92, 107)(95, 108)(109, 112)(110, 114)(111, 116)(113, 120)(115, 124)(117, 128)(118, 130)(119, 132)(121, 136)(122, 138)(123, 140)(125, 143)(126, 145)(127, 146)(129, 150)(131, 154)(133, 156)(134, 158)(135, 159)(137, 142)(139, 166)(141, 169)(144, 173)(147, 177)(148, 172)(149, 171)(151, 168)(152, 181)(153, 176)(155, 185)(157, 189)(160, 192)(161, 188)(162, 187)(163, 184)(164, 196)(165, 197)(167, 198)(170, 203)(174, 206)(175, 208)(178, 180)(179, 212)(182, 202)(183, 199)(186, 200)(190, 204)(191, 214)(193, 195)(194, 209)(201, 210)(205, 213)(207, 216)(211, 215)
	local type(s) :: { ( 6^4 ) }
Outer automorphisms :: reflexible
Dual of E10.774
Transitivity :: VT+ AT
Graph:: simple bipartite
	v = 54 e = 108 f = 36
	degree seq :: [ 4^54 ]

E10.774 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 2, 3})
Quotient :: halfedge^2
Aut^+ = (((C3 x C3) : C3) : C2) : C2 (small group id <108, 17>)
Aut   = (((C3 x C3) : C3) : C4) : C2 (small group id <216, 87>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, Y1^3, (Y3 * Y2)^2, (R * Y1)^2, R * Y3 * R * Y2, (Y1^-1 * Y3 * Y2)^2, (Y2 * Y1 * Y2 * Y1^-1)^3, (Y2 * Y1)^6 ]
Map:: polytopal non-degenerate
	R = (1, 110, 2, 113, 5, 109)(3, 116, 8, 118, 10, 111)(4, 119, 11, 120, 12, 112)(6, 123, 15, 125, 17, 114)(7, 126, 18, 127, 19, 115)(9, 130, 22, 124, 16, 117)(13, 133, 25, 134, 26, 121)(14, 135, 27, 136, 28, 122)(20, 141, 33, 142, 34, 128)(21, 143, 35, 144, 36, 129)(23, 145, 37, 146, 38, 131)(24, 147, 39, 148, 40, 132)(29, 153, 45, 154, 46, 137)(30, 155, 47, 156, 48, 138)(31, 157, 49, 158, 50, 139)(32, 159, 51, 160, 52, 140)(41, 169, 61, 170, 62, 149)(42, 171, 63, 172, 64, 150)(43, 173, 65, 174, 66, 151)(44, 175, 67, 176, 68, 152)(53, 185, 77, 186, 78, 161)(54, 187, 79, 188, 80, 162)(55, 181, 73, 189, 81, 163)(56, 190, 82, 182, 74, 164)(57, 191, 83, 192, 84, 165)(58, 193, 85, 194, 86, 166)(59, 195, 87, 177, 69, 167)(60, 178, 70, 196, 88, 168)(71, 199, 91, 201, 93, 179)(72, 202, 94, 200, 92, 180)(75, 203, 95, 197, 89, 183)(76, 198, 90, 204, 96, 184)(97, 211, 103, 215, 107, 205)(98, 216, 108, 212, 104, 206)(99, 213, 105, 209, 101, 207)(100, 210, 102, 214, 106, 208)
	L = (1, 3)(2, 6)(4, 9)(5, 13)(7, 16)(8, 20)(10, 23)(11, 24)(12, 21)(14, 22)(15, 29)(17, 31)(18, 32)(19, 30)(25, 41)(26, 43)(27, 44)(28, 42)(33, 53)(34, 55)(35, 56)(36, 54)(37, 57)(38, 59)(39, 60)(40, 58)(45, 69)(46, 71)(47, 72)(48, 70)(49, 73)(50, 75)(51, 76)(52, 74)(61, 89)(62, 84)(63, 85)(64, 90)(65, 91)(66, 77)(67, 80)(68, 92)(78, 97)(79, 98)(81, 99)(82, 100)(83, 101)(86, 102)(87, 103)(88, 104)(93, 105)(94, 106)(95, 107)(96, 108)(109, 112)(110, 115)(111, 117)(113, 122)(114, 124)(116, 129)(118, 132)(119, 131)(120, 128)(121, 130)(123, 138)(125, 140)(126, 139)(127, 137)(133, 150)(134, 152)(135, 151)(136, 149)(141, 162)(142, 164)(143, 163)(144, 161)(145, 166)(146, 168)(147, 167)(148, 165)(153, 178)(154, 180)(155, 179)(156, 177)(157, 182)(158, 184)(159, 183)(160, 181)(169, 198)(170, 193)(171, 192)(172, 197)(173, 200)(174, 188)(175, 185)(176, 199)(186, 206)(187, 205)(189, 208)(190, 207)(191, 210)(194, 209)(195, 212)(196, 211)(201, 214)(202, 213)(203, 216)(204, 215)
	local type(s) :: { ( 4^6 ) }
Outer automorphisms :: reflexible
Dual of E10.773
Transitivity :: VT+ AT
Graph:: simple bipartite
	v = 36 e = 108 f = 54
	degree seq :: [ 6^36 ]

E10.775 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 2, 3})
Quotient :: edge^2
Aut^+ = (((C3 x C3) : C3) : C2) : C2 (small group id <108, 17>)
Aut   = (((C3 x C3) : C3) : C4) : C2 (small group id <216, 87>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, Y3^2, R^2, (R * Y3)^2, R * Y1 * R * Y2, (Y3 * Y1 * Y3 * Y2)^2, (Y1 * Y3 * Y2)^3, Y2 * Y3 * Y2 * Y1 * Y2 * Y1 * Y3 * Y1 * Y2 * Y1, (Y2 * Y1)^6, (Y3 * Y2)^6, (Y3 * Y1)^6 ]
Map:: polytopal
	R = (1, 109, 4, 112)(2, 110, 6, 114)(3, 111, 8, 116)(5, 113, 12, 120)(7, 115, 16, 124)(9, 117, 20, 128)(10, 118, 22, 130)(11, 119, 24, 132)(13, 121, 28, 136)(14, 122, 30, 138)(15, 123, 32, 140)(17, 125, 36, 144)(18, 126, 38, 146)(19, 127, 40, 148)(21, 129, 43, 151)(23, 131, 46, 154)(25, 133, 49, 157)(26, 134, 51, 159)(27, 135, 53, 161)(29, 137, 35, 143)(31, 139, 58, 166)(33, 141, 60, 168)(34, 142, 61, 169)(37, 145, 64, 172)(39, 147, 66, 174)(41, 149, 69, 177)(42, 150, 70, 178)(44, 152, 73, 181)(45, 153, 75, 183)(47, 155, 77, 185)(48, 156, 78, 186)(50, 158, 79, 187)(52, 160, 81, 189)(54, 162, 84, 192)(55, 163, 85, 193)(56, 164, 63, 171)(57, 165, 87, 195)(59, 167, 89, 197)(62, 170, 91, 199)(65, 173, 95, 203)(67, 175, 99, 207)(68, 176, 101, 209)(71, 179, 103, 211)(72, 180, 104, 212)(74, 182, 98, 206)(76, 184, 105, 213)(80, 188, 92, 200)(82, 190, 100, 208)(83, 191, 97, 205)(86, 194, 90, 198)(88, 196, 107, 215)(93, 201, 96, 204)(94, 202, 102, 210)(106, 214, 108, 216)(217, 218)(219, 223)(220, 225)(221, 227)(222, 229)(224, 233)(226, 237)(228, 241)(230, 245)(231, 247)(232, 249)(234, 253)(235, 255)(236, 257)(238, 246)(239, 261)(240, 263)(242, 266)(243, 268)(244, 270)(248, 275)(250, 256)(251, 278)(252, 279)(254, 277)(258, 274)(259, 287)(260, 288)(262, 292)(264, 269)(265, 289)(267, 294)(271, 291)(272, 302)(273, 290)(276, 306)(280, 309)(281, 310)(282, 312)(283, 314)(284, 316)(285, 300)(286, 318)(293, 320)(295, 304)(296, 322)(297, 323)(298, 303)(299, 315)(301, 324)(305, 311)(307, 319)(308, 321)(313, 317)(325, 327)(326, 329)(328, 334)(330, 338)(331, 339)(332, 342)(333, 343)(335, 347)(336, 350)(337, 351)(340, 358)(341, 359)(344, 360)(345, 366)(346, 368)(348, 372)(349, 367)(352, 373)(353, 379)(354, 380)(355, 381)(356, 376)(357, 374)(361, 371)(362, 389)(363, 370)(364, 391)(365, 392)(369, 398)(375, 404)(377, 406)(378, 407)(382, 412)(383, 388)(384, 413)(385, 393)(386, 411)(387, 416)(390, 421)(394, 424)(395, 422)(396, 420)(397, 419)(399, 417)(400, 403)(401, 429)(402, 408)(405, 425)(409, 423)(410, 431)(414, 432)(415, 430)(418, 427)(426, 428)
	L = (1, 217)(2, 218)(3, 219)(4, 220)(5, 221)(6, 222)(7, 223)(8, 224)(9, 225)(10, 226)(11, 227)(12, 228)(13, 229)(14, 230)(15, 231)(16, 232)(17, 233)(18, 234)(19, 235)(20, 236)(21, 237)(22, 238)(23, 239)(24, 240)(25, 241)(26, 242)(27, 243)(28, 244)(29, 245)(30, 246)(31, 247)(32, 248)(33, 249)(34, 250)(35, 251)(36, 252)(37, 253)(38, 254)(39, 255)(40, 256)(41, 257)(42, 258)(43, 259)(44, 260)(45, 261)(46, 262)(47, 263)(48, 264)(49, 265)(50, 266)(51, 267)(52, 268)(53, 269)(54, 270)(55, 271)(56, 272)(57, 273)(58, 274)(59, 275)(60, 276)(61, 277)(62, 278)(63, 279)(64, 280)(65, 281)(66, 282)(67, 283)(68, 284)(69, 285)(70, 286)(71, 287)(72, 288)(73, 289)(74, 290)(75, 291)(76, 292)(77, 293)(78, 294)(79, 295)(80, 296)(81, 297)(82, 298)(83, 299)(84, 300)(85, 301)(86, 302)(87, 303)(88, 304)(89, 305)(90, 306)(91, 307)(92, 308)(93, 309)(94, 310)(95, 311)(96, 312)(97, 313)(98, 314)(99, 315)(100, 316)(101, 317)(102, 318)(103, 319)(104, 320)(105, 321)(106, 322)(107, 323)(108, 324)(109, 325)(110, 326)(111, 327)(112, 328)(113, 329)(114, 330)(115, 331)(116, 332)(117, 333)(118, 334)(119, 335)(120, 336)(121, 337)(122, 338)(123, 339)(124, 340)(125, 341)(126, 342)(127, 343)(128, 344)(129, 345)(130, 346)(131, 347)(132, 348)(133, 349)(134, 350)(135, 351)(136, 352)(137, 353)(138, 354)(139, 355)(140, 356)(141, 357)(142, 358)(143, 359)(144, 360)(145, 361)(146, 362)(147, 363)(148, 364)(149, 365)(150, 366)(151, 367)(152, 368)(153, 369)(154, 370)(155, 371)(156, 372)(157, 373)(158, 374)(159, 375)(160, 376)(161, 377)(162, 378)(163, 379)(164, 380)(165, 381)(166, 382)(167, 383)(168, 384)(169, 385)(170, 386)(171, 387)(172, 388)(173, 389)(174, 390)(175, 391)(176, 392)(177, 393)(178, 394)(179, 395)(180, 396)(181, 397)(182, 398)(183, 399)(184, 400)(185, 401)(186, 402)(187, 403)(188, 404)(189, 405)(190, 406)(191, 407)(192, 408)(193, 409)(194, 410)(195, 411)(196, 412)(197, 413)(198, 414)(199, 415)(200, 416)(201, 417)(202, 418)(203, 419)(204, 420)(205, 421)(206, 422)(207, 423)(208, 424)(209, 425)(210, 426)(211, 427)(212, 428)(213, 429)(214, 430)(215, 431)(216, 432)
	local type(s) :: { ( 12, 12 ), ( 12^4 ) }
Outer automorphisms :: reflexible
Dual of E10.778
Graph:: simple bipartite
	v = 162 e = 216 f = 36
	degree seq :: [ 2^108, 4^54 ]

E10.776 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 2, 3})
Quotient :: edge^2
Aut^+ = (((C3 x C3) : C3) : C2) : C2 (small group id <108, 17>)
Aut   = (((C3 x C3) : C3) : C4) : C2 (small group id <216, 87>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^3, (Y1 * Y2)^2, R * Y1 * R * Y2, (R * Y3)^2, (Y2 * Y3 * Y1)^2, (Y1 * Y3^-1)^6, (Y1 * Y3 * Y1 * Y3^-1)^3 ]
Map:: polytopal
	R = (1, 109, 4, 112, 5, 113)(2, 110, 7, 115, 8, 116)(3, 111, 9, 117, 10, 118)(6, 114, 15, 123, 16, 124)(11, 119, 21, 129, 22, 130)(12, 120, 23, 131, 24, 132)(13, 121, 25, 133, 26, 134)(14, 122, 27, 135, 28, 136)(17, 125, 29, 137, 30, 138)(18, 126, 31, 139, 32, 140)(19, 127, 33, 141, 34, 142)(20, 128, 35, 143, 36, 144)(37, 145, 53, 161, 54, 162)(38, 146, 55, 163, 56, 164)(39, 147, 57, 165, 58, 166)(40, 148, 59, 167, 60, 168)(41, 149, 61, 169, 62, 170)(42, 150, 63, 171, 64, 172)(43, 151, 65, 173, 66, 174)(44, 152, 67, 175, 68, 176)(45, 153, 69, 177, 70, 178)(46, 154, 71, 179, 72, 180)(47, 155, 73, 181, 74, 182)(48, 156, 75, 183, 76, 184)(49, 157, 77, 185, 78, 186)(50, 158, 79, 187, 80, 188)(51, 159, 81, 189, 82, 190)(52, 160, 83, 191, 84, 192)(85, 193, 91, 199, 101, 209)(86, 194, 102, 210, 92, 200)(87, 195, 103, 211, 89, 197)(88, 196, 90, 198, 104, 212)(93, 201, 99, 207, 105, 213)(94, 202, 106, 214, 100, 208)(95, 203, 107, 215, 97, 205)(96, 204, 98, 206, 108, 216)(217, 218)(219, 222)(220, 227)(221, 229)(223, 233)(224, 235)(225, 236)(226, 234)(228, 232)(230, 231)(237, 253)(238, 255)(239, 256)(240, 254)(241, 257)(242, 259)(243, 260)(244, 258)(245, 261)(246, 263)(247, 264)(248, 262)(249, 265)(250, 267)(251, 268)(252, 266)(269, 298)(270, 301)(271, 302)(272, 299)(273, 289)(274, 303)(275, 304)(276, 292)(277, 305)(278, 294)(279, 295)(280, 306)(281, 307)(282, 285)(283, 288)(284, 308)(286, 309)(287, 310)(290, 311)(291, 312)(293, 313)(296, 314)(297, 315)(300, 316)(317, 323)(318, 324)(319, 321)(320, 322)(325, 327)(326, 330)(328, 336)(329, 338)(331, 342)(332, 344)(333, 343)(334, 341)(335, 340)(337, 339)(345, 362)(346, 364)(347, 363)(348, 361)(349, 366)(350, 368)(351, 367)(352, 365)(353, 370)(354, 372)(355, 371)(356, 369)(357, 374)(358, 376)(359, 375)(360, 373)(377, 407)(378, 410)(379, 409)(380, 406)(381, 400)(382, 412)(383, 411)(384, 397)(385, 414)(386, 403)(387, 402)(388, 413)(389, 416)(390, 396)(391, 393)(392, 415)(394, 418)(395, 417)(398, 420)(399, 419)(401, 422)(404, 421)(405, 424)(408, 423)(425, 432)(426, 431)(427, 430)(428, 429)
	L = (1, 217)(2, 218)(3, 219)(4, 220)(5, 221)(6, 222)(7, 223)(8, 224)(9, 225)(10, 226)(11, 227)(12, 228)(13, 229)(14, 230)(15, 231)(16, 232)(17, 233)(18, 234)(19, 235)(20, 236)(21, 237)(22, 238)(23, 239)(24, 240)(25, 241)(26, 242)(27, 243)(28, 244)(29, 245)(30, 246)(31, 247)(32, 248)(33, 249)(34, 250)(35, 251)(36, 252)(37, 253)(38, 254)(39, 255)(40, 256)(41, 257)(42, 258)(43, 259)(44, 260)(45, 261)(46, 262)(47, 263)(48, 264)(49, 265)(50, 266)(51, 267)(52, 268)(53, 269)(54, 270)(55, 271)(56, 272)(57, 273)(58, 274)(59, 275)(60, 276)(61, 277)(62, 278)(63, 279)(64, 280)(65, 281)(66, 282)(67, 283)(68, 284)(69, 285)(70, 286)(71, 287)(72, 288)(73, 289)(74, 290)(75, 291)(76, 292)(77, 293)(78, 294)(79, 295)(80, 296)(81, 297)(82, 298)(83, 299)(84, 300)(85, 301)(86, 302)(87, 303)(88, 304)(89, 305)(90, 306)(91, 307)(92, 308)(93, 309)(94, 310)(95, 311)(96, 312)(97, 313)(98, 314)(99, 315)(100, 316)(101, 317)(102, 318)(103, 319)(104, 320)(105, 321)(106, 322)(107, 323)(108, 324)(109, 325)(110, 326)(111, 327)(112, 328)(113, 329)(114, 330)(115, 331)(116, 332)(117, 333)(118, 334)(119, 335)(120, 336)(121, 337)(122, 338)(123, 339)(124, 340)(125, 341)(126, 342)(127, 343)(128, 344)(129, 345)(130, 346)(131, 347)(132, 348)(133, 349)(134, 350)(135, 351)(136, 352)(137, 353)(138, 354)(139, 355)(140, 356)(141, 357)(142, 358)(143, 359)(144, 360)(145, 361)(146, 362)(147, 363)(148, 364)(149, 365)(150, 366)(151, 367)(152, 368)(153, 369)(154, 370)(155, 371)(156, 372)(157, 373)(158, 374)(159, 375)(160, 376)(161, 377)(162, 378)(163, 379)(164, 380)(165, 381)(166, 382)(167, 383)(168, 384)(169, 385)(170, 386)(171, 387)(172, 388)(173, 389)(174, 390)(175, 391)(176, 392)(177, 393)(178, 394)(179, 395)(180, 396)(181, 397)(182, 398)(183, 399)(184, 400)(185, 401)(186, 402)(187, 403)(188, 404)(189, 405)(190, 406)(191, 407)(192, 408)(193, 409)(194, 410)(195, 411)(196, 412)(197, 413)(198, 414)(199, 415)(200, 416)(201, 417)(202, 418)(203, 419)(204, 420)(205, 421)(206, 422)(207, 423)(208, 424)(209, 425)(210, 426)(211, 427)(212, 428)(213, 429)(214, 430)(215, 431)(216, 432)
	local type(s) :: { ( 8, 8 ), ( 8^6 ) }
Outer automorphisms :: reflexible
Dual of E10.777
Graph:: simple bipartite
	v = 144 e = 216 f = 54
	degree seq :: [ 2^108, 6^36 ]

E10.777 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 2, 3})
Quotient :: loop^2
Aut^+ = (((C3 x C3) : C3) : C2) : C2 (small group id <108, 17>)
Aut   = (((C3 x C3) : C3) : C4) : C2 (small group id <216, 87>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, Y3^2, R^2, (R * Y3)^2, R * Y1 * R * Y2, (Y3 * Y1 * Y3 * Y2)^2, (Y1 * Y3 * Y2)^3, Y2 * Y3 * Y2 * Y1 * Y2 * Y1 * Y3 * Y1 * Y2 * Y1, (Y2 * Y1)^6, (Y3 * Y2)^6, (Y3 * Y1)^6 ]
Map::
	R = (1, 109, 217, 325, 4, 112, 220, 328)(2, 110, 218, 326, 6, 114, 222, 330)(3, 111, 219, 327, 8, 116, 224, 332)(5, 113, 221, 329, 12, 120, 228, 336)(7, 115, 223, 331, 16, 124, 232, 340)(9, 117, 225, 333, 20, 128, 236, 344)(10, 118, 226, 334, 22, 130, 238, 346)(11, 119, 227, 335, 24, 132, 240, 348)(13, 121, 229, 337, 28, 136, 244, 352)(14, 122, 230, 338, 30, 138, 246, 354)(15, 123, 231, 339, 32, 140, 248, 356)(17, 125, 233, 341, 36, 144, 252, 360)(18, 126, 234, 342, 38, 146, 254, 362)(19, 127, 235, 343, 40, 148, 256, 364)(21, 129, 237, 345, 43, 151, 259, 367)(23, 131, 239, 347, 46, 154, 262, 370)(25, 133, 241, 349, 49, 157, 265, 373)(26, 134, 242, 350, 51, 159, 267, 375)(27, 135, 243, 351, 53, 161, 269, 377)(29, 137, 245, 353, 35, 143, 251, 359)(31, 139, 247, 355, 58, 166, 274, 382)(33, 141, 249, 357, 60, 168, 276, 384)(34, 142, 250, 358, 61, 169, 277, 385)(37, 145, 253, 361, 64, 172, 280, 388)(39, 147, 255, 363, 66, 174, 282, 390)(41, 149, 257, 365, 69, 177, 285, 393)(42, 150, 258, 366, 70, 178, 286, 394)(44, 152, 260, 368, 73, 181, 289, 397)(45, 153, 261, 369, 75, 183, 291, 399)(47, 155, 263, 371, 77, 185, 293, 401)(48, 156, 264, 372, 78, 186, 294, 402)(50, 158, 266, 374, 79, 187, 295, 403)(52, 160, 268, 376, 81, 189, 297, 405)(54, 162, 270, 378, 84, 192, 300, 408)(55, 163, 271, 379, 85, 193, 301, 409)(56, 164, 272, 380, 63, 171, 279, 387)(57, 165, 273, 381, 87, 195, 303, 411)(59, 167, 275, 383, 89, 197, 305, 413)(62, 170, 278, 386, 91, 199, 307, 415)(65, 173, 281, 389, 95, 203, 311, 419)(67, 175, 283, 391, 99, 207, 315, 423)(68, 176, 284, 392, 101, 209, 317, 425)(71, 179, 287, 395, 103, 211, 319, 427)(72, 180, 288, 396, 104, 212, 320, 428)(74, 182, 290, 398, 98, 206, 314, 422)(76, 184, 292, 400, 105, 213, 321, 429)(80, 188, 296, 404, 92, 200, 308, 416)(82, 190, 298, 406, 100, 208, 316, 424)(83, 191, 299, 407, 97, 205, 313, 421)(86, 194, 302, 410, 90, 198, 306, 414)(88, 196, 304, 412, 107, 215, 323, 431)(93, 201, 309, 417, 96, 204, 312, 420)(94, 202, 310, 418, 102, 210, 318, 426)(106, 214, 322, 430, 108, 216, 324, 432)
	L = (1, 110)(2, 109)(3, 115)(4, 117)(5, 119)(6, 121)(7, 111)(8, 125)(9, 112)(10, 129)(11, 113)(12, 133)(13, 114)(14, 137)(15, 139)(16, 141)(17, 116)(18, 145)(19, 147)(20, 149)(21, 118)(22, 138)(23, 153)(24, 155)(25, 120)(26, 158)(27, 160)(28, 162)(29, 122)(30, 130)(31, 123)(32, 167)(33, 124)(34, 148)(35, 170)(36, 171)(37, 126)(38, 169)(39, 127)(40, 142)(41, 128)(42, 166)(43, 179)(44, 180)(45, 131)(46, 184)(47, 132)(48, 161)(49, 181)(50, 134)(51, 186)(52, 135)(53, 156)(54, 136)(55, 183)(56, 194)(57, 182)(58, 150)(59, 140)(60, 198)(61, 146)(62, 143)(63, 144)(64, 201)(65, 202)(66, 204)(67, 206)(68, 208)(69, 192)(70, 210)(71, 151)(72, 152)(73, 157)(74, 165)(75, 163)(76, 154)(77, 212)(78, 159)(79, 196)(80, 214)(81, 215)(82, 195)(83, 207)(84, 177)(85, 216)(86, 164)(87, 190)(88, 187)(89, 203)(90, 168)(91, 211)(92, 213)(93, 172)(94, 173)(95, 197)(96, 174)(97, 209)(98, 175)(99, 191)(100, 176)(101, 205)(102, 178)(103, 199)(104, 185)(105, 200)(106, 188)(107, 189)(108, 193)(217, 327)(218, 329)(219, 325)(220, 334)(221, 326)(222, 338)(223, 339)(224, 342)(225, 343)(226, 328)(227, 347)(228, 350)(229, 351)(230, 330)(231, 331)(232, 358)(233, 359)(234, 332)(235, 333)(236, 360)(237, 366)(238, 368)(239, 335)(240, 372)(241, 367)(242, 336)(243, 337)(244, 373)(245, 379)(246, 380)(247, 381)(248, 376)(249, 374)(250, 340)(251, 341)(252, 344)(253, 371)(254, 389)(255, 370)(256, 391)(257, 392)(258, 345)(259, 349)(260, 346)(261, 398)(262, 363)(263, 361)(264, 348)(265, 352)(266, 357)(267, 404)(268, 356)(269, 406)(270, 407)(271, 353)(272, 354)(273, 355)(274, 412)(275, 388)(276, 413)(277, 393)(278, 411)(279, 416)(280, 383)(281, 362)(282, 421)(283, 364)(284, 365)(285, 385)(286, 424)(287, 422)(288, 420)(289, 419)(290, 369)(291, 417)(292, 403)(293, 429)(294, 408)(295, 400)(296, 375)(297, 425)(298, 377)(299, 378)(300, 402)(301, 423)(302, 431)(303, 386)(304, 382)(305, 384)(306, 432)(307, 430)(308, 387)(309, 399)(310, 427)(311, 397)(312, 396)(313, 390)(314, 395)(315, 409)(316, 394)(317, 405)(318, 428)(319, 418)(320, 426)(321, 401)(322, 415)(323, 410)(324, 414)
	local type(s) :: { ( 2, 6, 2, 6, 2, 6, 2, 6 ) }
Outer automorphisms :: reflexible
Dual of E10.776
Transitivity :: VT+
Graph:: bipartite
	v = 54 e = 216 f = 144
	degree seq :: [ 8^54 ]

E10.778 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 2, 3})
Quotient :: loop^2
Aut^+ = (((C3 x C3) : C3) : C2) : C2 (small group id <108, 17>)
Aut   = (((C3 x C3) : C3) : C4) : C2 (small group id <216, 87>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^3, (Y1 * Y2)^2, R * Y1 * R * Y2, (R * Y3)^2, (Y2 * Y3 * Y1)^2, (Y1 * Y3^-1)^6, (Y1 * Y3 * Y1 * Y3^-1)^3 ]
Map::
	R = (1, 109, 217, 325, 4, 112, 220, 328, 5, 113, 221, 329)(2, 110, 218, 326, 7, 115, 223, 331, 8, 116, 224, 332)(3, 111, 219, 327, 9, 117, 225, 333, 10, 118, 226, 334)(6, 114, 222, 330, 15, 123, 231, 339, 16, 124, 232, 340)(11, 119, 227, 335, 21, 129, 237, 345, 22, 130, 238, 346)(12, 120, 228, 336, 23, 131, 239, 347, 24, 132, 240, 348)(13, 121, 229, 337, 25, 133, 241, 349, 26, 134, 242, 350)(14, 122, 230, 338, 27, 135, 243, 351, 28, 136, 244, 352)(17, 125, 233, 341, 29, 137, 245, 353, 30, 138, 246, 354)(18, 126, 234, 342, 31, 139, 247, 355, 32, 140, 248, 356)(19, 127, 235, 343, 33, 141, 249, 357, 34, 142, 250, 358)(20, 128, 236, 344, 35, 143, 251, 359, 36, 144, 252, 360)(37, 145, 253, 361, 53, 161, 269, 377, 54, 162, 270, 378)(38, 146, 254, 362, 55, 163, 271, 379, 56, 164, 272, 380)(39, 147, 255, 363, 57, 165, 273, 381, 58, 166, 274, 382)(40, 148, 256, 364, 59, 167, 275, 383, 60, 168, 276, 384)(41, 149, 257, 365, 61, 169, 277, 385, 62, 170, 278, 386)(42, 150, 258, 366, 63, 171, 279, 387, 64, 172, 280, 388)(43, 151, 259, 367, 65, 173, 281, 389, 66, 174, 282, 390)(44, 152, 260, 368, 67, 175, 283, 391, 68, 176, 284, 392)(45, 153, 261, 369, 69, 177, 285, 393, 70, 178, 286, 394)(46, 154, 262, 370, 71, 179, 287, 395, 72, 180, 288, 396)(47, 155, 263, 371, 73, 181, 289, 397, 74, 182, 290, 398)(48, 156, 264, 372, 75, 183, 291, 399, 76, 184, 292, 400)(49, 157, 265, 373, 77, 185, 293, 401, 78, 186, 294, 402)(50, 158, 266, 374, 79, 187, 295, 403, 80, 188, 296, 404)(51, 159, 267, 375, 81, 189, 297, 405, 82, 190, 298, 406)(52, 160, 268, 376, 83, 191, 299, 407, 84, 192, 300, 408)(85, 193, 301, 409, 91, 199, 307, 415, 101, 209, 317, 425)(86, 194, 302, 410, 102, 210, 318, 426, 92, 200, 308, 416)(87, 195, 303, 411, 103, 211, 319, 427, 89, 197, 305, 413)(88, 196, 304, 412, 90, 198, 306, 414, 104, 212, 320, 428)(93, 201, 309, 417, 99, 207, 315, 423, 105, 213, 321, 429)(94, 202, 310, 418, 106, 214, 322, 430, 100, 208, 316, 424)(95, 203, 311, 419, 107, 215, 323, 431, 97, 205, 313, 421)(96, 204, 312, 420, 98, 206, 314, 422, 108, 216, 324, 432)
	L = (1, 110)(2, 109)(3, 114)(4, 119)(5, 121)(6, 111)(7, 125)(8, 127)(9, 128)(10, 126)(11, 112)(12, 124)(13, 113)(14, 123)(15, 122)(16, 120)(17, 115)(18, 118)(19, 116)(20, 117)(21, 145)(22, 147)(23, 148)(24, 146)(25, 149)(26, 151)(27, 152)(28, 150)(29, 153)(30, 155)(31, 156)(32, 154)(33, 157)(34, 159)(35, 160)(36, 158)(37, 129)(38, 132)(39, 130)(40, 131)(41, 133)(42, 136)(43, 134)(44, 135)(45, 137)(46, 140)(47, 138)(48, 139)(49, 141)(50, 144)(51, 142)(52, 143)(53, 190)(54, 193)(55, 194)(56, 191)(57, 181)(58, 195)(59, 196)(60, 184)(61, 197)(62, 186)(63, 187)(64, 198)(65, 199)(66, 177)(67, 180)(68, 200)(69, 174)(70, 201)(71, 202)(72, 175)(73, 165)(74, 203)(75, 204)(76, 168)(77, 205)(78, 170)(79, 171)(80, 206)(81, 207)(82, 161)(83, 164)(84, 208)(85, 162)(86, 163)(87, 166)(88, 167)(89, 169)(90, 172)(91, 173)(92, 176)(93, 178)(94, 179)(95, 182)(96, 183)(97, 185)(98, 188)(99, 189)(100, 192)(101, 215)(102, 216)(103, 213)(104, 214)(105, 211)(106, 212)(107, 209)(108, 210)(217, 327)(218, 330)(219, 325)(220, 336)(221, 338)(222, 326)(223, 342)(224, 344)(225, 343)(226, 341)(227, 340)(228, 328)(229, 339)(230, 329)(231, 337)(232, 335)(233, 334)(234, 331)(235, 333)(236, 332)(237, 362)(238, 364)(239, 363)(240, 361)(241, 366)(242, 368)(243, 367)(244, 365)(245, 370)(246, 372)(247, 371)(248, 369)(249, 374)(250, 376)(251, 375)(252, 373)(253, 348)(254, 345)(255, 347)(256, 346)(257, 352)(258, 349)(259, 351)(260, 350)(261, 356)(262, 353)(263, 355)(264, 354)(265, 360)(266, 357)(267, 359)(268, 358)(269, 407)(270, 410)(271, 409)(272, 406)(273, 400)(274, 412)(275, 411)(276, 397)(277, 414)(278, 403)(279, 402)(280, 413)(281, 416)(282, 396)(283, 393)(284, 415)(285, 391)(286, 418)(287, 417)(288, 390)(289, 384)(290, 420)(291, 419)(292, 381)(293, 422)(294, 387)(295, 386)(296, 421)(297, 424)(298, 380)(299, 377)(300, 423)(301, 379)(302, 378)(303, 383)(304, 382)(305, 388)(306, 385)(307, 392)(308, 389)(309, 395)(310, 394)(311, 399)(312, 398)(313, 404)(314, 401)(315, 408)(316, 405)(317, 432)(318, 431)(319, 430)(320, 429)(321, 428)(322, 427)(323, 426)(324, 425)
	local type(s) :: { ( 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4 ) }
Outer automorphisms :: reflexible
Dual of E10.775
Transitivity :: VT+
Graph:: bipartite
	v = 36 e = 216 f = 162
	degree seq :: [ 12^36 ]

E10.779 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 3})
Quotient :: dipole
Aut^+ = (((C3 x C3) : C3) : C2) : C2 (small group id <108, 17>)
Aut   = C2 x ((((C3 x C3) : C3) : C2) : C2) (small group id <216, 102>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, Y3^2, R^2, (R * Y2)^2, (R * Y3)^2, (R * Y1)^2, (Y3 * Y2)^2, (Y3 * Y1)^3, (Y1 * Y2)^6, Y3 * Y1 * Y2 * Y1 * Y2 * Y3 * Y1 * Y3 * Y2 * Y1 * Y2 * Y3 * Y1 * Y3 * Y2 * Y1 * Y2 * Y1 ]
Map:: polytopal non-degenerate
	R = (1, 109, 2, 110)(3, 111, 7, 115)(4, 112, 9, 117)(5, 113, 10, 118)(6, 114, 12, 120)(8, 116, 15, 123)(11, 119, 19, 127)(13, 121, 21, 129)(14, 122, 23, 131)(16, 124, 25, 133)(17, 125, 26, 134)(18, 126, 28, 136)(20, 128, 30, 138)(22, 130, 33, 141)(24, 132, 35, 143)(27, 135, 40, 148)(29, 137, 42, 150)(31, 139, 38, 146)(32, 140, 46, 154)(34, 142, 48, 156)(36, 144, 51, 159)(37, 145, 44, 152)(39, 147, 54, 162)(41, 149, 56, 164)(43, 151, 59, 167)(45, 153, 61, 169)(47, 155, 63, 171)(49, 157, 66, 174)(50, 158, 65, 173)(52, 160, 69, 177)(53, 161, 70, 178)(55, 163, 72, 180)(57, 165, 75, 183)(58, 166, 74, 182)(60, 168, 78, 186)(62, 170, 80, 188)(64, 172, 83, 191)(67, 175, 86, 194)(68, 176, 87, 195)(71, 179, 90, 198)(73, 181, 93, 201)(76, 184, 96, 204)(77, 185, 97, 205)(79, 187, 99, 207)(81, 189, 100, 208)(82, 190, 98, 206)(84, 192, 94, 202)(85, 193, 102, 210)(88, 196, 92, 200)(89, 197, 104, 212)(91, 199, 105, 213)(95, 203, 107, 215)(101, 209, 106, 214)(103, 211, 108, 216)(217, 325, 219, 327)(218, 326, 221, 329)(220, 328, 224, 332)(222, 330, 227, 335)(223, 331, 229, 337)(225, 333, 232, 340)(226, 334, 233, 341)(228, 336, 236, 344)(230, 338, 238, 346)(231, 339, 240, 348)(234, 342, 243, 351)(235, 343, 245, 353)(237, 345, 247, 355)(239, 347, 250, 358)(241, 349, 252, 360)(242, 350, 254, 362)(244, 352, 257, 365)(246, 354, 259, 367)(248, 356, 261, 369)(249, 357, 263, 371)(251, 359, 265, 373)(253, 361, 268, 376)(255, 363, 269, 377)(256, 364, 271, 379)(258, 366, 273, 381)(260, 368, 276, 384)(262, 370, 278, 386)(264, 372, 280, 388)(266, 374, 283, 391)(267, 375, 282, 390)(270, 378, 287, 395)(272, 380, 289, 397)(274, 382, 292, 400)(275, 383, 291, 399)(277, 385, 295, 403)(279, 387, 297, 405)(281, 389, 300, 408)(284, 392, 301, 409)(285, 393, 304, 412)(286, 394, 305, 413)(288, 396, 307, 415)(290, 398, 310, 418)(293, 401, 311, 419)(294, 402, 314, 422)(296, 404, 313, 421)(298, 406, 317, 425)(299, 407, 316, 424)(302, 410, 319, 427)(303, 411, 306, 414)(308, 416, 322, 430)(309, 417, 321, 429)(312, 420, 324, 432)(315, 423, 323, 431)(318, 426, 320, 428)
	L = (1, 220)(2, 222)(3, 224)(4, 217)(5, 227)(6, 218)(7, 230)(8, 219)(9, 228)(10, 234)(11, 221)(12, 225)(13, 238)(14, 223)(15, 239)(16, 236)(17, 243)(18, 226)(19, 244)(20, 232)(21, 248)(22, 229)(23, 231)(24, 250)(25, 253)(26, 255)(27, 233)(28, 235)(29, 257)(30, 260)(31, 261)(32, 237)(33, 262)(34, 240)(35, 266)(36, 268)(37, 241)(38, 269)(39, 242)(40, 270)(41, 245)(42, 274)(43, 276)(44, 246)(45, 247)(46, 249)(47, 278)(48, 281)(49, 283)(50, 251)(51, 284)(52, 252)(53, 254)(54, 256)(55, 287)(56, 290)(57, 292)(58, 258)(59, 293)(60, 259)(61, 286)(62, 263)(63, 298)(64, 300)(65, 264)(66, 301)(67, 265)(68, 267)(69, 303)(70, 277)(71, 271)(72, 308)(73, 310)(74, 272)(75, 311)(76, 273)(77, 275)(78, 313)(79, 305)(80, 314)(81, 317)(82, 279)(83, 309)(84, 280)(85, 282)(86, 318)(87, 285)(88, 306)(89, 295)(90, 304)(91, 322)(92, 288)(93, 299)(94, 289)(95, 291)(96, 323)(97, 294)(98, 296)(99, 324)(100, 321)(101, 297)(102, 302)(103, 320)(104, 319)(105, 316)(106, 307)(107, 312)(108, 315)(109, 325)(110, 326)(111, 327)(112, 328)(113, 329)(114, 330)(115, 331)(116, 332)(117, 333)(118, 334)(119, 335)(120, 336)(121, 337)(122, 338)(123, 339)(124, 340)(125, 341)(126, 342)(127, 343)(128, 344)(129, 345)(130, 346)(131, 347)(132, 348)(133, 349)(134, 350)(135, 351)(136, 352)(137, 353)(138, 354)(139, 355)(140, 356)(141, 357)(142, 358)(143, 359)(144, 360)(145, 361)(146, 362)(147, 363)(148, 364)(149, 365)(150, 366)(151, 367)(152, 368)(153, 369)(154, 370)(155, 371)(156, 372)(157, 373)(158, 374)(159, 375)(160, 376)(161, 377)(162, 378)(163, 379)(164, 380)(165, 381)(166, 382)(167, 383)(168, 384)(169, 385)(170, 386)(171, 387)(172, 388)(173, 389)(174, 390)(175, 391)(176, 392)(177, 393)(178, 394)(179, 395)(180, 396)(181, 397)(182, 398)(183, 399)(184, 400)(185, 401)(186, 402)(187, 403)(188, 404)(189, 405)(190, 406)(191, 407)(192, 408)(193, 409)(194, 410)(195, 411)(196, 412)(197, 413)(198, 414)(199, 415)(200, 416)(201, 417)(202, 418)(203, 419)(204, 420)(205, 421)(206, 422)(207, 423)(208, 424)(209, 425)(210, 426)(211, 427)(212, 428)(213, 429)(214, 430)(215, 431)(216, 432)
	local type(s) :: { ( 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible
Dual of E10.780
Graph:: simple bipartite
	v = 108 e = 216 f = 90
	degree seq :: [ 4^108 ]

E10.780 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 3})
Quotient :: dipole
Aut^+ = (((C3 x C3) : C3) : C2) : C2 (small group id <108, 17>)
Aut   = C2 x ((((C3 x C3) : C3) : C2) : C2) (small group id <216, 102>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, Y1^3, (R * Y2)^2, (Y3 * Y2)^2, (R * Y3)^2, (R * Y1)^2, (Y3 * Y1^-1)^2, (Y2 * Y1)^6, (Y2 * Y1 * Y2 * Y1^-1)^3 ]
Map:: polytopal non-degenerate
	R = (1, 109, 2, 110, 5, 113)(3, 111, 8, 116, 10, 118)(4, 112, 11, 119, 7, 115)(6, 114, 13, 121, 15, 123)(9, 117, 18, 126, 17, 125)(12, 120, 21, 129, 22, 130)(14, 122, 25, 133, 24, 132)(16, 124, 27, 135, 29, 137)(19, 127, 31, 139, 32, 140)(20, 128, 33, 141, 34, 142)(23, 131, 37, 145, 39, 147)(26, 134, 41, 149, 42, 150)(28, 136, 45, 153, 44, 152)(30, 138, 47, 155, 48, 156)(35, 143, 53, 161, 54, 162)(36, 144, 55, 163, 56, 164)(38, 146, 59, 167, 58, 166)(40, 148, 61, 169, 62, 170)(43, 151, 65, 173, 67, 175)(46, 154, 63, 171, 69, 177)(49, 157, 72, 180, 73, 181)(50, 158, 74, 182, 57, 165)(51, 159, 75, 183, 76, 184)(52, 160, 77, 185, 78, 186)(60, 168, 80, 188, 83, 191)(64, 172, 86, 194, 79, 187)(66, 174, 88, 196, 87, 195)(68, 176, 90, 198, 85, 193)(70, 178, 81, 189, 92, 200)(71, 179, 93, 201, 94, 202)(82, 190, 99, 207, 97, 205)(84, 192, 98, 206, 101, 209)(89, 197, 96, 204, 102, 210)(91, 199, 100, 208, 95, 203)(103, 211, 108, 216, 105, 213)(104, 212, 106, 214, 107, 215)(217, 325, 219, 327)(218, 326, 222, 330)(220, 328, 225, 333)(221, 329, 228, 336)(223, 331, 230, 338)(224, 332, 232, 340)(226, 334, 235, 343)(227, 335, 236, 344)(229, 337, 239, 347)(231, 339, 242, 350)(233, 341, 244, 352)(234, 342, 246, 354)(237, 345, 251, 359)(238, 346, 252, 360)(240, 348, 254, 362)(241, 349, 256, 364)(243, 351, 259, 367)(245, 353, 262, 370)(247, 355, 265, 373)(248, 356, 266, 374)(249, 357, 267, 375)(250, 358, 268, 376)(253, 361, 273, 381)(255, 363, 276, 384)(257, 365, 279, 387)(258, 366, 280, 388)(260, 368, 282, 390)(261, 369, 284, 392)(263, 371, 286, 394)(264, 372, 287, 395)(269, 377, 295, 403)(270, 378, 289, 397)(271, 379, 296, 404)(272, 380, 281, 389)(274, 382, 297, 405)(275, 383, 298, 406)(277, 385, 300, 408)(278, 386, 301, 409)(283, 391, 305, 413)(285, 393, 307, 415)(288, 396, 311, 419)(290, 398, 312, 420)(291, 399, 303, 411)(292, 400, 313, 421)(293, 401, 309, 417)(294, 402, 314, 422)(299, 407, 316, 424)(302, 410, 318, 426)(304, 412, 319, 427)(306, 414, 320, 428)(308, 416, 321, 429)(310, 418, 322, 430)(315, 423, 323, 431)(317, 425, 324, 432)
	L = (1, 220)(2, 223)(3, 225)(4, 217)(5, 227)(6, 230)(7, 218)(8, 233)(9, 219)(10, 234)(11, 221)(12, 236)(13, 240)(14, 222)(15, 241)(16, 244)(17, 224)(18, 226)(19, 246)(20, 228)(21, 250)(22, 249)(23, 254)(24, 229)(25, 231)(26, 256)(27, 260)(28, 232)(29, 261)(30, 235)(31, 264)(32, 263)(33, 238)(34, 237)(35, 268)(36, 267)(37, 274)(38, 239)(39, 275)(40, 242)(41, 278)(42, 277)(43, 282)(44, 243)(45, 245)(46, 284)(47, 248)(48, 247)(49, 287)(50, 286)(51, 252)(52, 251)(53, 294)(54, 293)(55, 292)(56, 291)(57, 297)(58, 253)(59, 255)(60, 298)(61, 258)(62, 257)(63, 301)(64, 300)(65, 303)(66, 259)(67, 304)(68, 262)(69, 306)(70, 266)(71, 265)(72, 310)(73, 309)(74, 308)(75, 272)(76, 271)(77, 270)(78, 269)(79, 314)(80, 313)(81, 273)(82, 276)(83, 315)(84, 280)(85, 279)(86, 317)(87, 281)(88, 283)(89, 319)(90, 285)(91, 320)(92, 290)(93, 289)(94, 288)(95, 322)(96, 321)(97, 296)(98, 295)(99, 299)(100, 323)(101, 302)(102, 324)(103, 305)(104, 307)(105, 312)(106, 311)(107, 316)(108, 318)(109, 325)(110, 326)(111, 327)(112, 328)(113, 329)(114, 330)(115, 331)(116, 332)(117, 333)(118, 334)(119, 335)(120, 336)(121, 337)(122, 338)(123, 339)(124, 340)(125, 341)(126, 342)(127, 343)(128, 344)(129, 345)(130, 346)(131, 347)(132, 348)(133, 349)(134, 350)(135, 351)(136, 352)(137, 353)(138, 354)(139, 355)(140, 356)(141, 357)(142, 358)(143, 359)(144, 360)(145, 361)(146, 362)(147, 363)(148, 364)(149, 365)(150, 366)(151, 367)(152, 368)(153, 369)(154, 370)(155, 371)(156, 372)(157, 373)(158, 374)(159, 375)(160, 376)(161, 377)(162, 378)(163, 379)(164, 380)(165, 381)(166, 382)(167, 383)(168, 384)(169, 385)(170, 386)(171, 387)(172, 388)(173, 389)(174, 390)(175, 391)(176, 392)(177, 393)(178, 394)(179, 395)(180, 396)(181, 397)(182, 398)(183, 399)(184, 400)(185, 401)(186, 402)(187, 403)(188, 404)(189, 405)(190, 406)(191, 407)(192, 408)(193, 409)(194, 410)(195, 411)(196, 412)(197, 413)(198, 414)(199, 415)(200, 416)(201, 417)(202, 418)(203, 419)(204, 420)(205, 421)(206, 422)(207, 423)(208, 424)(209, 425)(210, 426)(211, 427)(212, 428)(213, 429)(214, 430)(215, 431)(216, 432)
	local type(s) :: { ( 4^4 ), ( 4^6 ) }
Outer automorphisms :: reflexible
Dual of E10.779
Graph:: simple bipartite
	v = 90 e = 216 f = 108
	degree seq :: [ 4^54, 6^36 ]

E10.781 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {3, 4, 4})
Quotient :: edge
Aut^+ = ((C3 x C3) : C3) : C4 (small group id <108, 15>)
Aut   = (((C3 x C3) : C3) : C4) : C2 (small group id <216, 87>)
|r| :: 2
Presentation :: [ F^2, T1^3, (F * T1)^2, (F * T2)^2, T2^4, T2 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2 * T1^-1, T2 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2 * T1^-1, (T2^-1 * T1^-1)^4 ]
Map:: polyhedral non-degenerate
	R = (1, 3, 9, 5)(2, 6, 16, 7)(4, 11, 27, 12)(8, 20, 46, 21)(10, 24, 54, 25)(13, 31, 65, 32)(14, 33, 67, 34)(15, 35, 69, 36)(17, 39, 75, 40)(18, 41, 77, 42)(19, 43, 78, 44)(22, 49, 87, 50)(23, 51, 90, 52)(26, 56, 88, 57)(28, 53, 92, 60)(29, 61, 89, 62)(30, 63, 80, 45)(37, 71, 102, 72)(38, 73, 103, 74)(47, 82, 66, 83)(48, 84, 68, 85)(55, 95, 105, 86)(58, 96, 106, 97)(59, 94, 107, 98)(64, 91, 108, 99)(70, 100, 79, 93)(76, 101, 104, 81)(109, 110, 112)(111, 116, 118)(113, 121, 122)(114, 123, 125)(115, 126, 127)(117, 130, 131)(119, 134, 136)(120, 137, 138)(124, 145, 146)(128, 153, 155)(129, 151, 156)(132, 161, 147)(133, 149, 163)(135, 166, 167)(139, 172, 168)(140, 170, 150)(141, 174, 165)(142, 176, 143)(144, 171, 178)(148, 169, 184)(152, 187, 164)(154, 179, 189)(157, 194, 196)(158, 192, 197)(159, 183, 190)(160, 186, 199)(162, 201, 202)(173, 180, 208)(175, 209, 206)(177, 204, 207)(181, 200, 193)(182, 188, 203)(185, 205, 191)(195, 210, 214)(198, 211, 215)(212, 213, 216)
	L = (1, 109)(2, 110)(3, 111)(4, 112)(5, 113)(6, 114)(7, 115)(8, 116)(9, 117)(10, 118)(11, 119)(12, 120)(13, 121)(14, 122)(15, 123)(16, 124)(17, 125)(18, 126)(19, 127)(20, 128)(21, 129)(22, 130)(23, 131)(24, 132)(25, 133)(26, 134)(27, 135)(28, 136)(29, 137)(30, 138)(31, 139)(32, 140)(33, 141)(34, 142)(35, 143)(36, 144)(37, 145)(38, 146)(39, 147)(40, 148)(41, 149)(42, 150)(43, 151)(44, 152)(45, 153)(46, 154)(47, 155)(48, 156)(49, 157)(50, 158)(51, 159)(52, 160)(53, 161)(54, 162)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 8^3 ), ( 8^4 ) }
Outer automorphisms :: reflexible
Dual of E10.782
Transitivity :: ET+
Graph:: simple bipartite
	v = 63 e = 108 f = 27
	degree seq :: [ 3^36, 4^27 ]

E10.782 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {3, 4, 4})
Quotient :: loop
Aut^+ = ((C3 x C3) : C3) : C4 (small group id <108, 15>)
Aut   = (((C3 x C3) : C3) : C4) : C2 (small group id <216, 87>)
|r| :: 2
Presentation :: [ F^2, T1^3, (F * T1)^2, (F * T2)^2, T2^4, T2 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2 * T1^-1, T2 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2 * T1^-1, (T2^-1 * T1^-1)^4 ]
Map:: polyhedral non-degenerate
	R = (1, 109, 3, 111, 9, 117, 5, 113)(2, 110, 6, 114, 16, 124, 7, 115)(4, 112, 11, 119, 27, 135, 12, 120)(8, 116, 20, 128, 46, 154, 21, 129)(10, 118, 24, 132, 54, 162, 25, 133)(13, 121, 31, 139, 65, 173, 32, 140)(14, 122, 33, 141, 67, 175, 34, 142)(15, 123, 35, 143, 69, 177, 36, 144)(17, 125, 39, 147, 75, 183, 40, 148)(18, 126, 41, 149, 77, 185, 42, 150)(19, 127, 43, 151, 78, 186, 44, 152)(22, 130, 49, 157, 87, 195, 50, 158)(23, 131, 51, 159, 90, 198, 52, 160)(26, 134, 56, 164, 88, 196, 57, 165)(28, 136, 53, 161, 92, 200, 60, 168)(29, 137, 61, 169, 89, 197, 62, 170)(30, 138, 63, 171, 80, 188, 45, 153)(37, 145, 71, 179, 102, 210, 72, 180)(38, 146, 73, 181, 103, 211, 74, 182)(47, 155, 82, 190, 66, 174, 83, 191)(48, 156, 84, 192, 68, 176, 85, 193)(55, 163, 95, 203, 105, 213, 86, 194)(58, 166, 96, 204, 106, 214, 97, 205)(59, 167, 94, 202, 107, 215, 98, 206)(64, 172, 91, 199, 108, 216, 99, 207)(70, 178, 100, 208, 79, 187, 93, 201)(76, 184, 101, 209, 104, 212, 81, 189)
	L = (1, 110)(2, 112)(3, 116)(4, 109)(5, 121)(6, 123)(7, 126)(8, 118)(9, 130)(10, 111)(11, 134)(12, 137)(13, 122)(14, 113)(15, 125)(16, 145)(17, 114)(18, 127)(19, 115)(20, 153)(21, 151)(22, 131)(23, 117)(24, 161)(25, 149)(26, 136)(27, 166)(28, 119)(29, 138)(30, 120)(31, 172)(32, 170)(33, 174)(34, 176)(35, 142)(36, 171)(37, 146)(38, 124)(39, 132)(40, 169)(41, 163)(42, 140)(43, 156)(44, 187)(45, 155)(46, 179)(47, 128)(48, 129)(49, 194)(50, 192)(51, 183)(52, 186)(53, 147)(54, 201)(55, 133)(56, 152)(57, 141)(58, 167)(59, 135)(60, 139)(61, 184)(62, 150)(63, 178)(64, 168)(65, 180)(66, 165)(67, 209)(68, 143)(69, 204)(70, 144)(71, 189)(72, 208)(73, 200)(74, 188)(75, 190)(76, 148)(77, 205)(78, 199)(79, 164)(80, 203)(81, 154)(82, 159)(83, 185)(84, 197)(85, 181)(86, 196)(87, 210)(88, 157)(89, 158)(90, 211)(91, 160)(92, 193)(93, 202)(94, 162)(95, 182)(96, 207)(97, 191)(98, 175)(99, 177)(100, 173)(101, 206)(102, 214)(103, 215)(104, 213)(105, 216)(106, 195)(107, 198)(108, 212)
	local type(s) :: { ( 3, 4, 3, 4, 3, 4, 3, 4 ) }
Outer automorphisms :: reflexible
Dual of E10.781
Transitivity :: ET+ VT+ AT
Graph:: simple
	v = 27 e = 108 f = 63
	degree seq :: [ 8^27 ]

E10.783 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 4, 4})
Quotient :: dipole
Aut^+ = ((C3 x C3) : C3) : C4 (small group id <108, 15>)
Aut   = (((C3 x C3) : C3) : C4) : C2 (small group id <216, 87>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1^-1, Y1^2 * Y3^-1, (R * Y1)^2, Y2^4, (R * Y3)^2, (R * Y2 * Y3^-1)^2, Y2 * Y1 * Y2^-1 * Y3^-1 * Y2^-1 * Y1 * Y2 * Y1^-1, Y1 * Y2^-1 * Y1 * Y2^-1 * Y3^-1 * Y2 * Y1^-1 * Y2, Y3 * Y2 * Y3 * Y2^-1 * Y3^-1 * Y2^-1 * Y1^-1 * Y2, Y2 * Y3 * Y2 * Y3 * Y2^-1 * Y3^-1 * Y2^-1 * Y1^-1, Y2 * Y3 * Y2^-1 * Y1 * Y2^-1 * Y1^-1 * Y2 * Y1^-1, (Y3 * Y2^-1)^4, Y2 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y3^-1 * Y2 * Y1^-1, Y3 * Y2 * Y3 * Y2 * Y1^-1 * Y2^-1 * Y3^-1 * Y2^-1 ]
Map::
	R = (1, 109, 2, 110, 4, 112)(3, 111, 8, 116, 10, 118)(5, 113, 13, 121, 14, 122)(6, 114, 15, 123, 17, 125)(7, 115, 18, 126, 19, 127)(9, 117, 22, 130, 23, 131)(11, 119, 26, 134, 28, 136)(12, 120, 29, 137, 30, 138)(16, 124, 37, 145, 38, 146)(20, 128, 45, 153, 47, 155)(21, 129, 43, 151, 48, 156)(24, 132, 53, 161, 39, 147)(25, 133, 41, 149, 55, 163)(27, 135, 58, 166, 59, 167)(31, 139, 64, 172, 60, 168)(32, 140, 62, 170, 42, 150)(33, 141, 66, 174, 57, 165)(34, 142, 68, 176, 35, 143)(36, 144, 63, 171, 70, 178)(40, 148, 61, 169, 76, 184)(44, 152, 79, 187, 56, 164)(46, 154, 71, 179, 81, 189)(49, 157, 86, 194, 88, 196)(50, 158, 84, 192, 89, 197)(51, 159, 75, 183, 82, 190)(52, 160, 78, 186, 91, 199)(54, 162, 93, 201, 94, 202)(65, 173, 72, 180, 100, 208)(67, 175, 101, 209, 98, 206)(69, 177, 96, 204, 99, 207)(73, 181, 92, 200, 85, 193)(74, 182, 80, 188, 95, 203)(77, 185, 97, 205, 83, 191)(87, 195, 102, 210, 106, 214)(90, 198, 103, 211, 107, 215)(104, 212, 105, 213, 108, 216)(217, 325, 219, 327, 225, 333, 221, 329)(218, 326, 222, 330, 232, 340, 223, 331)(220, 328, 227, 335, 243, 351, 228, 336)(224, 332, 236, 344, 262, 370, 237, 345)(226, 334, 240, 348, 270, 378, 241, 349)(229, 337, 247, 355, 281, 389, 248, 356)(230, 338, 249, 357, 283, 391, 250, 358)(231, 339, 251, 359, 285, 393, 252, 360)(233, 341, 255, 363, 291, 399, 256, 364)(234, 342, 257, 365, 293, 401, 258, 366)(235, 343, 259, 367, 294, 402, 260, 368)(238, 346, 265, 373, 303, 411, 266, 374)(239, 347, 267, 375, 306, 414, 268, 376)(242, 350, 272, 380, 304, 412, 273, 381)(244, 352, 269, 377, 308, 416, 276, 384)(245, 353, 277, 385, 305, 413, 278, 386)(246, 354, 279, 387, 296, 404, 261, 369)(253, 361, 287, 395, 318, 426, 288, 396)(254, 362, 289, 397, 319, 427, 290, 398)(263, 371, 298, 406, 282, 390, 299, 407)(264, 372, 300, 408, 284, 392, 301, 409)(271, 379, 311, 419, 321, 429, 302, 410)(274, 382, 312, 420, 322, 430, 313, 421)(275, 383, 310, 418, 323, 431, 314, 422)(280, 388, 307, 415, 324, 432, 315, 423)(286, 394, 316, 424, 295, 403, 309, 417)(292, 400, 317, 425, 320, 428, 297, 405)
	L = (1, 220)(2, 217)(3, 226)(4, 218)(5, 230)(6, 233)(7, 235)(8, 219)(9, 239)(10, 224)(11, 244)(12, 246)(13, 221)(14, 229)(15, 222)(16, 254)(17, 231)(18, 223)(19, 234)(20, 263)(21, 264)(22, 225)(23, 238)(24, 255)(25, 271)(26, 227)(27, 275)(28, 242)(29, 228)(30, 245)(31, 276)(32, 258)(33, 273)(34, 251)(35, 284)(36, 286)(37, 232)(38, 253)(39, 269)(40, 292)(41, 241)(42, 278)(43, 237)(44, 272)(45, 236)(46, 297)(47, 261)(48, 259)(49, 304)(50, 305)(51, 298)(52, 307)(53, 240)(54, 310)(55, 257)(56, 295)(57, 282)(58, 243)(59, 274)(60, 280)(61, 256)(62, 248)(63, 252)(64, 247)(65, 316)(66, 249)(67, 314)(68, 250)(69, 315)(70, 279)(71, 262)(72, 281)(73, 301)(74, 311)(75, 267)(76, 277)(77, 299)(78, 268)(79, 260)(80, 290)(81, 287)(82, 291)(83, 313)(84, 266)(85, 308)(86, 265)(87, 322)(88, 302)(89, 300)(90, 323)(91, 294)(92, 289)(93, 270)(94, 309)(95, 296)(96, 285)(97, 293)(98, 317)(99, 312)(100, 288)(101, 283)(102, 303)(103, 306)(104, 324)(105, 320)(106, 318)(107, 319)(108, 321)(109, 325)(110, 326)(111, 327)(112, 328)(113, 329)(114, 330)(115, 331)(116, 332)(117, 333)(118, 334)(119, 335)(120, 336)(121, 337)(122, 338)(123, 339)(124, 340)(125, 341)(126, 342)(127, 343)(128, 344)(129, 345)(130, 346)(131, 347)(132, 348)(133, 349)(134, 350)(135, 351)(136, 352)(137, 353)(138, 354)(139, 355)(140, 356)(141, 357)(142, 358)(143, 359)(144, 360)(145, 361)(146, 362)(147, 363)(148, 364)(149, 365)(150, 366)(151, 367)(152, 368)(153, 369)(154, 370)(155, 371)(156, 372)(157, 373)(158, 374)(159, 375)(160, 376)(161, 377)(162, 378)(163, 379)(164, 380)(165, 381)(166, 382)(167, 383)(168, 384)(169, 385)(170, 386)(171, 387)(172, 388)(173, 389)(174, 390)(175, 391)(176, 392)(177, 393)(178, 394)(179, 395)(180, 396)(181, 397)(182, 398)(183, 399)(184, 400)(185, 401)(186, 402)(187, 403)(188, 404)(189, 405)(190, 406)(191, 407)(192, 408)(193, 409)(194, 410)(195, 411)(196, 412)(197, 413)(198, 414)(199, 415)(200, 416)(201, 417)(202, 418)(203, 419)(204, 420)(205, 421)(206, 422)(207, 423)(208, 424)(209, 425)(210, 426)(211, 427)(212, 428)(213, 429)(214, 430)(215, 431)(216, 432)
	local type(s) :: { ( 2, 8, 2, 8, 2, 8 ), ( 2, 8, 2, 8, 2, 8, 2, 8 ) }
Outer automorphisms :: reflexible
Dual of E10.784
Graph:: bipartite
	v = 63 e = 216 f = 135
	degree seq :: [ 6^36, 8^27 ]

E10.784 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 4, 4})
Quotient :: dipole
Aut^+ = ((C3 x C3) : C3) : C4 (small group id <108, 15>)
Aut   = (((C3 x C3) : C3) : C4) : C2 (small group id <216, 87>)
|r| :: 2
Presentation :: [ Y2, R^2, Y3^3, (R * Y3)^2, (R * Y1)^2, Y1^4, (R * Y2 * Y3^-1)^2, (Y3 * Y2^-1)^3, Y3 * Y1^-1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1^-1, Y3^-1 * Y1 * Y3^-1 * Y1^-1 * Y3 * Y1^-1 * Y3^-1 * Y1, (Y3^-1 * Y1^-1)^4 ]
Map:: polytopal
	R = (1, 109, 2, 110, 6, 114, 4, 112)(3, 111, 9, 117, 21, 129, 10, 118)(5, 113, 13, 121, 30, 138, 14, 122)(7, 115, 17, 125, 39, 147, 18, 126)(8, 116, 19, 127, 44, 152, 20, 128)(11, 119, 26, 134, 56, 164, 27, 135)(12, 120, 28, 136, 60, 168, 29, 137)(15, 123, 35, 143, 69, 177, 36, 144)(16, 124, 37, 145, 74, 182, 38, 146)(22, 130, 51, 159, 92, 200, 52, 160)(23, 131, 46, 154, 75, 183, 53, 161)(24, 132, 47, 155, 87, 195, 54, 162)(25, 133, 42, 150, 77, 185, 55, 163)(31, 139, 66, 174, 71, 179, 62, 170)(32, 140, 45, 153, 86, 194, 58, 166)(33, 141, 67, 175, 73, 181, 59, 167)(34, 142, 68, 176, 81, 189, 40, 148)(41, 149, 76, 184, 61, 169, 82, 190)(43, 151, 72, 180, 63, 171, 83, 191)(48, 156, 88, 196, 104, 212, 70, 178)(49, 157, 79, 187, 102, 210, 89, 197)(50, 158, 90, 198, 105, 213, 91, 199)(57, 165, 78, 186, 107, 215, 97, 205)(64, 172, 100, 208, 103, 211, 101, 209)(65, 173, 85, 193, 106, 214, 99, 207)(80, 188, 94, 202, 98, 206, 108, 216)(84, 192, 93, 201, 96, 204, 95, 203)(217, 325)(218, 326)(219, 327)(220, 328)(221, 329)(222, 330)(223, 331)(224, 332)(225, 333)(226, 334)(227, 335)(228, 336)(229, 337)(230, 338)(231, 339)(232, 340)(233, 341)(234, 342)(235, 343)(236, 344)(237, 345)(238, 346)(239, 347)(240, 348)(241, 349)(242, 350)(243, 351)(244, 352)(245, 353)(246, 354)(247, 355)(248, 356)(249, 357)(250, 358)(251, 359)(252, 360)(253, 361)(254, 362)(255, 363)(256, 364)(257, 365)(258, 366)(259, 367)(260, 368)(261, 369)(262, 370)(263, 371)(264, 372)(265, 373)(266, 374)(267, 375)(268, 376)(269, 377)(270, 378)(271, 379)(272, 380)(273, 381)(274, 382)(275, 383)(276, 384)(277, 385)(278, 386)(279, 387)(280, 388)(281, 389)(282, 390)(283, 391)(284, 392)(285, 393)(286, 394)(287, 395)(288, 396)(289, 397)(290, 398)(291, 399)(292, 400)(293, 401)(294, 402)(295, 403)(296, 404)(297, 405)(298, 406)(299, 407)(300, 408)(301, 409)(302, 410)(303, 411)(304, 412)(305, 413)(306, 414)(307, 415)(308, 416)(309, 417)(310, 418)(311, 419)(312, 420)(313, 421)(314, 422)(315, 423)(316, 424)(317, 425)(318, 426)(319, 427)(320, 428)(321, 429)(322, 430)(323, 431)(324, 432)
	L = (1, 219)(2, 223)(3, 221)(4, 227)(5, 217)(6, 231)(7, 224)(8, 218)(9, 238)(10, 240)(11, 228)(12, 220)(13, 247)(14, 249)(15, 232)(16, 222)(17, 256)(18, 258)(19, 261)(20, 263)(21, 265)(22, 239)(23, 225)(24, 241)(25, 226)(26, 273)(27, 275)(28, 277)(29, 279)(30, 280)(31, 248)(32, 229)(33, 250)(34, 230)(35, 286)(36, 288)(37, 291)(38, 293)(39, 295)(40, 257)(41, 233)(42, 259)(43, 234)(44, 300)(45, 262)(46, 235)(47, 264)(48, 236)(49, 266)(50, 237)(51, 245)(52, 284)(53, 283)(54, 243)(55, 311)(56, 305)(57, 274)(58, 242)(59, 270)(60, 314)(61, 278)(62, 244)(63, 267)(64, 281)(65, 246)(66, 271)(67, 310)(68, 309)(69, 318)(70, 287)(71, 251)(72, 289)(73, 252)(74, 321)(75, 292)(76, 253)(77, 294)(78, 254)(79, 296)(80, 255)(81, 304)(82, 303)(83, 306)(84, 301)(85, 260)(86, 299)(87, 317)(88, 307)(89, 312)(90, 302)(91, 297)(92, 316)(93, 268)(94, 269)(95, 282)(96, 272)(97, 308)(98, 315)(99, 276)(100, 313)(101, 298)(102, 319)(103, 285)(104, 323)(105, 322)(106, 290)(107, 324)(108, 320)(109, 325)(110, 326)(111, 327)(112, 328)(113, 329)(114, 330)(115, 331)(116, 332)(117, 333)(118, 334)(119, 335)(120, 336)(121, 337)(122, 338)(123, 339)(124, 340)(125, 341)(126, 342)(127, 343)(128, 344)(129, 345)(130, 346)(131, 347)(132, 348)(133, 349)(134, 350)(135, 351)(136, 352)(137, 353)(138, 354)(139, 355)(140, 356)(141, 357)(142, 358)(143, 359)(144, 360)(145, 361)(146, 362)(147, 363)(148, 364)(149, 365)(150, 366)(151, 367)(152, 368)(153, 369)(154, 370)(155, 371)(156, 372)(157, 373)(158, 374)(159, 375)(160, 376)(161, 377)(162, 378)(163, 379)(164, 380)(165, 381)(166, 382)(167, 383)(168, 384)(169, 385)(170, 386)(171, 387)(172, 388)(173, 389)(174, 390)(175, 391)(176, 392)(177, 393)(178, 394)(179, 395)(180, 396)(181, 397)(182, 398)(183, 399)(184, 400)(185, 401)(186, 402)(187, 403)(188, 404)(189, 405)(190, 406)(191, 407)(192, 408)(193, 409)(194, 410)(195, 411)(196, 412)(197, 413)(198, 414)(199, 415)(200, 416)(201, 417)(202, 418)(203, 419)(204, 420)(205, 421)(206, 422)(207, 423)(208, 424)(209, 425)(210, 426)(211, 427)(212, 428)(213, 429)(214, 430)(215, 431)(216, 432)
	local type(s) :: { ( 6, 8 ), ( 6, 8, 6, 8, 6, 8, 6, 8 ) }
Outer automorphisms :: reflexible
Dual of E10.783
Graph:: simple bipartite
	v = 135 e = 216 f = 63
	degree seq :: [ 2^108, 8^27 ]

E10.785 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {3, 4, 4})
Quotient :: edge
Aut^+ = (C3 x C3 x C3) : C4 (small group id <108, 37>)
Aut   = (C3 x S3 x S3) : C2 (small group id <216, 158>)
|r| :: 2
Presentation :: [ F^2, T1^3, (F * T1)^2, (F * T2)^2, T2^4, T1 * T2 * T1 * T2^-1 * T1^-1 * T2 * T1^-1 * T2^-1, (T2 * T1^-1)^4, (T2^-1 * T1^-1)^4 ]
Map:: polyhedral non-degenerate
	R = (1, 3, 9, 5)(2, 6, 16, 7)(4, 11, 27, 12)(8, 20, 46, 21)(10, 24, 54, 25)(13, 31, 63, 32)(14, 33, 65, 34)(15, 35, 67, 36)(17, 39, 73, 40)(18, 41, 74, 42)(19, 43, 75, 44)(22, 49, 84, 50)(23, 51, 88, 52)(26, 56, 82, 48)(28, 59, 83, 55)(29, 60, 94, 61)(30, 62, 77, 45)(37, 68, 99, 69)(38, 70, 100, 71)(47, 80, 103, 81)(53, 89, 106, 86)(57, 91, 104, 92)(58, 78, 101, 93)(64, 87, 107, 96)(66, 85, 105, 98)(72, 79, 102, 97)(76, 90, 108, 95)(109, 110, 112)(111, 116, 118)(113, 121, 122)(114, 123, 125)(115, 126, 127)(117, 130, 131)(119, 134, 136)(120, 137, 138)(124, 145, 146)(128, 153, 155)(129, 144, 156)(132, 161, 150)(133, 148, 163)(135, 165, 166)(139, 149, 168)(140, 167, 172)(141, 151, 170)(142, 174, 143)(147, 180, 169)(152, 184, 164)(154, 186, 187)(157, 191, 193)(158, 185, 194)(159, 195, 175)(160, 189, 182)(162, 198, 176)(171, 201, 203)(173, 205, 177)(178, 197, 190)(179, 206, 202)(181, 188, 199)(183, 204, 200)(192, 207, 212)(196, 208, 209)(210, 215, 214)(211, 213, 216)
	L = (1, 109)(2, 110)(3, 111)(4, 112)(5, 113)(6, 114)(7, 115)(8, 116)(9, 117)(10, 118)(11, 119)(12, 120)(13, 121)(14, 122)(15, 123)(16, 124)(17, 125)(18, 126)(19, 127)(20, 128)(21, 129)(22, 130)(23, 131)(24, 132)(25, 133)(26, 134)(27, 135)(28, 136)(29, 137)(30, 138)(31, 139)(32, 140)(33, 141)(34, 142)(35, 143)(36, 144)(37, 145)(38, 146)(39, 147)(40, 148)(41, 149)(42, 150)(43, 151)(44, 152)(45, 153)(46, 154)(47, 155)(48, 156)(49, 157)(50, 158)(51, 159)(52, 160)(53, 161)(54, 162)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 8^3 ), ( 8^4 ) }
Outer automorphisms :: reflexible
Dual of E10.786
Transitivity :: ET+
Graph:: simple bipartite
	v = 63 e = 108 f = 27
	degree seq :: [ 3^36, 4^27 ]

E10.786 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {3, 4, 4})
Quotient :: loop
Aut^+ = (C3 x C3 x C3) : C4 (small group id <108, 37>)
Aut   = (C3 x S3 x S3) : C2 (small group id <216, 158>)
|r| :: 2
Presentation :: [ F^2, T1^3, (F * T1)^2, (F * T2)^2, T2^4, T1 * T2 * T1 * T2^-1 * T1^-1 * T2 * T1^-1 * T2^-1, (T2 * T1^-1)^4, (T2^-1 * T1^-1)^4 ]
Map:: polyhedral non-degenerate
	R = (1, 109, 3, 111, 9, 117, 5, 113)(2, 110, 6, 114, 16, 124, 7, 115)(4, 112, 11, 119, 27, 135, 12, 120)(8, 116, 20, 128, 46, 154, 21, 129)(10, 118, 24, 132, 54, 162, 25, 133)(13, 121, 31, 139, 63, 171, 32, 140)(14, 122, 33, 141, 65, 173, 34, 142)(15, 123, 35, 143, 67, 175, 36, 144)(17, 125, 39, 147, 73, 181, 40, 148)(18, 126, 41, 149, 74, 182, 42, 150)(19, 127, 43, 151, 75, 183, 44, 152)(22, 130, 49, 157, 84, 192, 50, 158)(23, 131, 51, 159, 88, 196, 52, 160)(26, 134, 56, 164, 82, 190, 48, 156)(28, 136, 59, 167, 83, 191, 55, 163)(29, 137, 60, 168, 94, 202, 61, 169)(30, 138, 62, 170, 77, 185, 45, 153)(37, 145, 68, 176, 99, 207, 69, 177)(38, 146, 70, 178, 100, 208, 71, 179)(47, 155, 80, 188, 103, 211, 81, 189)(53, 161, 89, 197, 106, 214, 86, 194)(57, 165, 91, 199, 104, 212, 92, 200)(58, 166, 78, 186, 101, 209, 93, 201)(64, 172, 87, 195, 107, 215, 96, 204)(66, 174, 85, 193, 105, 213, 98, 206)(72, 180, 79, 187, 102, 210, 97, 205)(76, 184, 90, 198, 108, 216, 95, 203)
	L = (1, 110)(2, 112)(3, 116)(4, 109)(5, 121)(6, 123)(7, 126)(8, 118)(9, 130)(10, 111)(11, 134)(12, 137)(13, 122)(14, 113)(15, 125)(16, 145)(17, 114)(18, 127)(19, 115)(20, 153)(21, 144)(22, 131)(23, 117)(24, 161)(25, 148)(26, 136)(27, 165)(28, 119)(29, 138)(30, 120)(31, 149)(32, 167)(33, 151)(34, 174)(35, 142)(36, 156)(37, 146)(38, 124)(39, 180)(40, 163)(41, 168)(42, 132)(43, 170)(44, 184)(45, 155)(46, 186)(47, 128)(48, 129)(49, 191)(50, 185)(51, 195)(52, 189)(53, 150)(54, 198)(55, 133)(56, 152)(57, 166)(58, 135)(59, 172)(60, 139)(61, 147)(62, 141)(63, 201)(64, 140)(65, 205)(66, 143)(67, 159)(68, 162)(69, 173)(70, 197)(71, 206)(72, 169)(73, 188)(74, 160)(75, 204)(76, 164)(77, 194)(78, 187)(79, 154)(80, 199)(81, 182)(82, 178)(83, 193)(84, 207)(85, 157)(86, 158)(87, 175)(88, 208)(89, 190)(90, 176)(91, 181)(92, 183)(93, 203)(94, 179)(95, 171)(96, 200)(97, 177)(98, 202)(99, 212)(100, 209)(101, 196)(102, 215)(103, 213)(104, 192)(105, 216)(106, 210)(107, 214)(108, 211)
	local type(s) :: { ( 3, 4, 3, 4, 3, 4, 3, 4 ) }
Outer automorphisms :: reflexible
Dual of E10.785
Transitivity :: ET+ VT+ AT
Graph:: simple
	v = 27 e = 108 f = 63
	degree seq :: [ 8^27 ]

E10.787 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 4, 4})
Quotient :: dipole
Aut^+ = (C3 x C3 x C3) : C4 (small group id <108, 37>)
Aut   = (C3 x S3 x S3) : C2 (small group id <216, 158>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y1, Y1^2 * Y3^-1, 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, Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y3^-1 * Y2, Y1 * Y2 * Y1 * Y2^-1 * Y3 * Y2 * Y1^-1 * Y2^-1, Y2 * Y3 * Y2 * Y3 * Y2 * Y1^-1 * Y2 * Y1^-1, (Y3 * Y2^-1)^4, Y3 * Y2 * Y3 * Y2^-1 * Y3^-1 * Y2 * Y3^-1 * Y2^-1 ]
Map::
	R = (1, 109, 2, 110, 4, 112)(3, 111, 8, 116, 10, 118)(5, 113, 13, 121, 14, 122)(6, 114, 15, 123, 17, 125)(7, 115, 18, 126, 19, 127)(9, 117, 22, 130, 23, 131)(11, 119, 26, 134, 28, 136)(12, 120, 29, 137, 30, 138)(16, 124, 37, 145, 38, 146)(20, 128, 45, 153, 47, 155)(21, 129, 36, 144, 48, 156)(24, 132, 53, 161, 42, 150)(25, 133, 40, 148, 55, 163)(27, 135, 57, 165, 58, 166)(31, 139, 41, 149, 60, 168)(32, 140, 59, 167, 64, 172)(33, 141, 43, 151, 62, 170)(34, 142, 66, 174, 35, 143)(39, 147, 72, 180, 61, 169)(44, 152, 76, 184, 56, 164)(46, 154, 78, 186, 79, 187)(49, 157, 83, 191, 85, 193)(50, 158, 77, 185, 86, 194)(51, 159, 87, 195, 67, 175)(52, 160, 81, 189, 74, 182)(54, 162, 90, 198, 68, 176)(63, 171, 93, 201, 95, 203)(65, 173, 97, 205, 69, 177)(70, 178, 89, 197, 82, 190)(71, 179, 98, 206, 94, 202)(73, 181, 80, 188, 91, 199)(75, 183, 96, 204, 92, 200)(84, 192, 99, 207, 104, 212)(88, 196, 100, 208, 101, 209)(102, 210, 107, 215, 106, 214)(103, 211, 105, 213, 108, 216)(217, 325, 219, 327, 225, 333, 221, 329)(218, 326, 222, 330, 232, 340, 223, 331)(220, 328, 227, 335, 243, 351, 228, 336)(224, 332, 236, 344, 262, 370, 237, 345)(226, 334, 240, 348, 270, 378, 241, 349)(229, 337, 247, 355, 279, 387, 248, 356)(230, 338, 249, 357, 281, 389, 250, 358)(231, 339, 251, 359, 283, 391, 252, 360)(233, 341, 255, 363, 289, 397, 256, 364)(234, 342, 257, 365, 290, 398, 258, 366)(235, 343, 259, 367, 291, 399, 260, 368)(238, 346, 265, 373, 300, 408, 266, 374)(239, 347, 267, 375, 304, 412, 268, 376)(242, 350, 272, 380, 298, 406, 264, 372)(244, 352, 275, 383, 299, 407, 271, 379)(245, 353, 276, 384, 310, 418, 277, 385)(246, 354, 278, 386, 293, 401, 261, 369)(253, 361, 284, 392, 315, 423, 285, 393)(254, 362, 286, 394, 316, 424, 287, 395)(263, 371, 296, 404, 319, 427, 297, 405)(269, 377, 305, 413, 322, 430, 302, 410)(273, 381, 307, 415, 320, 428, 308, 416)(274, 382, 294, 402, 317, 425, 309, 417)(280, 388, 303, 411, 323, 431, 312, 420)(282, 390, 301, 409, 321, 429, 314, 422)(288, 396, 295, 403, 318, 426, 313, 421)(292, 400, 306, 414, 324, 432, 311, 419)
	L = (1, 220)(2, 217)(3, 226)(4, 218)(5, 230)(6, 233)(7, 235)(8, 219)(9, 239)(10, 224)(11, 244)(12, 246)(13, 221)(14, 229)(15, 222)(16, 254)(17, 231)(18, 223)(19, 234)(20, 263)(21, 264)(22, 225)(23, 238)(24, 258)(25, 271)(26, 227)(27, 274)(28, 242)(29, 228)(30, 245)(31, 276)(32, 280)(33, 278)(34, 251)(35, 282)(36, 237)(37, 232)(38, 253)(39, 277)(40, 241)(41, 247)(42, 269)(43, 249)(44, 272)(45, 236)(46, 295)(47, 261)(48, 252)(49, 301)(50, 302)(51, 283)(52, 290)(53, 240)(54, 284)(55, 256)(56, 292)(57, 243)(58, 273)(59, 248)(60, 257)(61, 288)(62, 259)(63, 311)(64, 275)(65, 285)(66, 250)(67, 303)(68, 306)(69, 313)(70, 298)(71, 310)(72, 255)(73, 307)(74, 297)(75, 308)(76, 260)(77, 266)(78, 262)(79, 294)(80, 289)(81, 268)(82, 305)(83, 265)(84, 320)(85, 299)(86, 293)(87, 267)(88, 317)(89, 286)(90, 270)(91, 296)(92, 312)(93, 279)(94, 314)(95, 309)(96, 291)(97, 281)(98, 287)(99, 300)(100, 304)(101, 316)(102, 322)(103, 324)(104, 315)(105, 319)(106, 323)(107, 318)(108, 321)(109, 325)(110, 326)(111, 327)(112, 328)(113, 329)(114, 330)(115, 331)(116, 332)(117, 333)(118, 334)(119, 335)(120, 336)(121, 337)(122, 338)(123, 339)(124, 340)(125, 341)(126, 342)(127, 343)(128, 344)(129, 345)(130, 346)(131, 347)(132, 348)(133, 349)(134, 350)(135, 351)(136, 352)(137, 353)(138, 354)(139, 355)(140, 356)(141, 357)(142, 358)(143, 359)(144, 360)(145, 361)(146, 362)(147, 363)(148, 364)(149, 365)(150, 366)(151, 367)(152, 368)(153, 369)(154, 370)(155, 371)(156, 372)(157, 373)(158, 374)(159, 375)(160, 376)(161, 377)(162, 378)(163, 379)(164, 380)(165, 381)(166, 382)(167, 383)(168, 384)(169, 385)(170, 386)(171, 387)(172, 388)(173, 389)(174, 390)(175, 391)(176, 392)(177, 393)(178, 394)(179, 395)(180, 396)(181, 397)(182, 398)(183, 399)(184, 400)(185, 401)(186, 402)(187, 403)(188, 404)(189, 405)(190, 406)(191, 407)(192, 408)(193, 409)(194, 410)(195, 411)(196, 412)(197, 413)(198, 414)(199, 415)(200, 416)(201, 417)(202, 418)(203, 419)(204, 420)(205, 421)(206, 422)(207, 423)(208, 424)(209, 425)(210, 426)(211, 427)(212, 428)(213, 429)(214, 430)(215, 431)(216, 432)
	local type(s) :: { ( 2, 8, 2, 8, 2, 8 ), ( 2, 8, 2, 8, 2, 8, 2, 8 ) }
Outer automorphisms :: reflexible
Dual of E10.788
Graph:: bipartite
	v = 63 e = 216 f = 135
	degree seq :: [ 6^36, 8^27 ]

E10.788 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 4, 4})
Quotient :: dipole
Aut^+ = (C3 x C3 x C3) : C4 (small group id <108, 37>)
Aut   = (C3 x S3 x S3) : C2 (small group id <216, 158>)
|r| :: 2
Presentation :: [ Y2, R^2, Y3^3, (R * Y3)^2, (R * Y1)^2, Y1^4, (R * Y2 * Y3^-1)^2, (Y3 * Y2^-1)^3, Y3^-1 * Y1 * Y3 * Y1^-1 * Y3 * Y1 * Y3^-1 * Y1^-1, (Y3^-1 * Y1^-1)^4, (Y3 * Y1^-1)^4 ]
Map:: polytopal
	R = (1, 109, 2, 110, 6, 114, 4, 112)(3, 111, 9, 117, 21, 129, 10, 118)(5, 113, 13, 121, 30, 138, 14, 122)(7, 115, 17, 125, 39, 147, 18, 126)(8, 116, 19, 127, 44, 152, 20, 128)(11, 119, 26, 134, 56, 164, 27, 135)(12, 120, 28, 136, 60, 168, 29, 137)(15, 123, 35, 143, 67, 175, 36, 144)(16, 124, 37, 145, 72, 180, 38, 146)(22, 130, 51, 159, 74, 182, 42, 150)(23, 131, 52, 160, 84, 192, 47, 155)(24, 132, 53, 161, 76, 184, 46, 154)(25, 133, 54, 162, 89, 197, 55, 163)(31, 139, 65, 173, 80, 188, 43, 151)(32, 140, 58, 166, 68, 176, 48, 156)(33, 141, 57, 165, 93, 201, 66, 174)(34, 142, 61, 169, 70, 178, 40, 148)(41, 149, 79, 187, 106, 214, 75, 183)(45, 153, 83, 191, 102, 210, 71, 179)(49, 157, 82, 190, 99, 207, 85, 193)(50, 158, 86, 194, 103, 211, 87, 195)(59, 167, 73, 181, 105, 213, 94, 202)(62, 170, 69, 177, 101, 209, 96, 204)(63, 171, 97, 205, 100, 208, 98, 206)(64, 172, 77, 185, 104, 212, 91, 199)(78, 186, 107, 215, 95, 203, 88, 196)(81, 189, 108, 216, 92, 200, 90, 198)(217, 325)(218, 326)(219, 327)(220, 328)(221, 329)(222, 330)(223, 331)(224, 332)(225, 333)(226, 334)(227, 335)(228, 336)(229, 337)(230, 338)(231, 339)(232, 340)(233, 341)(234, 342)(235, 343)(236, 344)(237, 345)(238, 346)(239, 347)(240, 348)(241, 349)(242, 350)(243, 351)(244, 352)(245, 353)(246, 354)(247, 355)(248, 356)(249, 357)(250, 358)(251, 359)(252, 360)(253, 361)(254, 362)(255, 363)(256, 364)(257, 365)(258, 366)(259, 367)(260, 368)(261, 369)(262, 370)(263, 371)(264, 372)(265, 373)(266, 374)(267, 375)(268, 376)(269, 377)(270, 378)(271, 379)(272, 380)(273, 381)(274, 382)(275, 383)(276, 384)(277, 385)(278, 386)(279, 387)(280, 388)(281, 389)(282, 390)(283, 391)(284, 392)(285, 393)(286, 394)(287, 395)(288, 396)(289, 397)(290, 398)(291, 399)(292, 400)(293, 401)(294, 402)(295, 403)(296, 404)(297, 405)(298, 406)(299, 407)(300, 408)(301, 409)(302, 410)(303, 411)(304, 412)(305, 413)(306, 414)(307, 415)(308, 416)(309, 417)(310, 418)(311, 419)(312, 420)(313, 421)(314, 422)(315, 423)(316, 424)(317, 425)(318, 426)(319, 427)(320, 428)(321, 429)(322, 430)(323, 431)(324, 432)
	L = (1, 219)(2, 223)(3, 221)(4, 227)(5, 217)(6, 231)(7, 224)(8, 218)(9, 238)(10, 240)(11, 228)(12, 220)(13, 247)(14, 249)(15, 232)(16, 222)(17, 256)(18, 258)(19, 261)(20, 263)(21, 265)(22, 239)(23, 225)(24, 241)(25, 226)(26, 269)(27, 274)(28, 270)(29, 278)(30, 279)(31, 248)(32, 229)(33, 250)(34, 230)(35, 284)(36, 286)(37, 289)(38, 291)(39, 293)(40, 257)(41, 233)(42, 259)(43, 234)(44, 297)(45, 262)(46, 235)(47, 264)(48, 236)(49, 266)(50, 237)(51, 245)(52, 304)(53, 273)(54, 277)(55, 306)(56, 307)(57, 242)(58, 275)(59, 243)(60, 311)(61, 244)(62, 267)(63, 280)(64, 246)(65, 271)(66, 268)(67, 315)(68, 285)(69, 251)(70, 287)(71, 252)(72, 319)(73, 290)(74, 253)(75, 292)(76, 254)(77, 294)(78, 255)(79, 313)(80, 302)(81, 298)(82, 260)(83, 296)(84, 295)(85, 276)(86, 299)(87, 312)(88, 282)(89, 310)(90, 281)(91, 308)(92, 272)(93, 303)(94, 314)(95, 301)(96, 309)(97, 300)(98, 305)(99, 316)(100, 283)(101, 324)(102, 323)(103, 320)(104, 288)(105, 318)(106, 317)(107, 321)(108, 322)(109, 325)(110, 326)(111, 327)(112, 328)(113, 329)(114, 330)(115, 331)(116, 332)(117, 333)(118, 334)(119, 335)(120, 336)(121, 337)(122, 338)(123, 339)(124, 340)(125, 341)(126, 342)(127, 343)(128, 344)(129, 345)(130, 346)(131, 347)(132, 348)(133, 349)(134, 350)(135, 351)(136, 352)(137, 353)(138, 354)(139, 355)(140, 356)(141, 357)(142, 358)(143, 359)(144, 360)(145, 361)(146, 362)(147, 363)(148, 364)(149, 365)(150, 366)(151, 367)(152, 368)(153, 369)(154, 370)(155, 371)(156, 372)(157, 373)(158, 374)(159, 375)(160, 376)(161, 377)(162, 378)(163, 379)(164, 380)(165, 381)(166, 382)(167, 383)(168, 384)(169, 385)(170, 386)(171, 387)(172, 388)(173, 389)(174, 390)(175, 391)(176, 392)(177, 393)(178, 394)(179, 395)(180, 396)(181, 397)(182, 398)(183, 399)(184, 400)(185, 401)(186, 402)(187, 403)(188, 404)(189, 405)(190, 406)(191, 407)(192, 408)(193, 409)(194, 410)(195, 411)(196, 412)(197, 413)(198, 414)(199, 415)(200, 416)(201, 417)(202, 418)(203, 419)(204, 420)(205, 421)(206, 422)(207, 423)(208, 424)(209, 425)(210, 426)(211, 427)(212, 428)(213, 429)(214, 430)(215, 431)(216, 432)
	local type(s) :: { ( 6, 8 ), ( 6, 8, 6, 8, 6, 8, 6, 8 ) }
Outer automorphisms :: reflexible
Dual of E10.787
Graph:: simple bipartite
	v = 135 e = 216 f = 63
	degree seq :: [ 2^108, 8^27 ]

E10.789 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {3, 3, 6})
Quotient :: edge
Aut^+ = (C6 x C6) : C3 (small group id <108, 22>)
Aut   = ((C6 x C6) : C3) : C2 (small group id <216, 95>)
|r| :: 2
Presentation :: [ F^2, T1^3, (F * T2)^2, (F * T1)^2, (T1 * T2^-1)^3, (T2^-1 * T1^-1)^3, (T2^-1 * T1)^3, (T2^-1 * T1^-1)^3, T2^6, T1 * T2^-3 * T1 * T2^-1 * T1^-1 * T2^2 * T1^-1 * T2^-1 ]
Map:: polyhedral non-degenerate
	R = (1, 3, 9, 25, 15, 5)(2, 6, 17, 39, 21, 7)(4, 11, 29, 58, 32, 12)(8, 22, 46, 81, 48, 23)(10, 19, 42, 77, 55, 27)(13, 33, 64, 97, 60, 30)(14, 34, 65, 70, 37, 16)(18, 31, 54, 88, 75, 41)(20, 43, 78, 92, 56, 28)(24, 49, 62, 98, 84, 50)(26, 47, 44, 79, 89, 53)(35, 67, 101, 96, 59, 66)(36, 68, 102, 71, 38, 63)(40, 69, 61, 90, 106, 74)(45, 80, 108, 93, 57, 76)(51, 85, 91, 95, 100, 86)(52, 83, 82, 72, 99, 87)(73, 104, 103, 94, 107, 105)(109, 110, 112)(111, 116, 118)(113, 121, 122)(114, 124, 126)(115, 127, 128)(117, 132, 134)(119, 136, 138)(120, 139, 130)(123, 143, 144)(125, 146, 148)(129, 152, 153)(131, 155, 151)(133, 159, 160)(135, 162, 157)(137, 165, 167)(140, 169, 170)(141, 171, 149)(142, 164, 174)(145, 177, 154)(147, 180, 181)(150, 184, 168)(156, 190, 188)(158, 191, 186)(161, 196, 193)(163, 198, 199)(166, 202, 203)(172, 207, 182)(173, 201, 208)(175, 195, 183)(176, 200, 194)(178, 211, 206)(179, 212, 189)(185, 215, 204)(187, 213, 205)(192, 210, 216)(197, 214, 209)
	L = (1, 109)(2, 110)(3, 111)(4, 112)(5, 113)(6, 114)(7, 115)(8, 116)(9, 117)(10, 118)(11, 119)(12, 120)(13, 121)(14, 122)(15, 123)(16, 124)(17, 125)(18, 126)(19, 127)(20, 128)(21, 129)(22, 130)(23, 131)(24, 132)(25, 133)(26, 134)(27, 135)(28, 136)(29, 137)(30, 138)(31, 139)(32, 140)(33, 141)(34, 142)(35, 143)(36, 144)(37, 145)(38, 146)(39, 147)(40, 148)(41, 149)(42, 150)(43, 151)(44, 152)(45, 153)(46, 154)(47, 155)(48, 156)(49, 157)(50, 158)(51, 159)(52, 160)(53, 161)(54, 162)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 6^3 ), ( 6^6 ) }
Outer automorphisms :: reflexible
Dual of E10.790
Transitivity :: ET+
Graph:: simple bipartite
	v = 54 e = 108 f = 36
	degree seq :: [ 3^36, 6^18 ]

E10.790 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {3, 3, 6})
Quotient :: loop
Aut^+ = (C6 x C6) : C3 (small group id <108, 22>)
Aut   = ((C6 x C6) : C3) : C2 (small group id <216, 95>)
|r| :: 2
Presentation :: [ F^2, T1^3, T2^3, (F * T1)^2, (F * T2)^2, (T1^-1 * T2)^3, (T2^-1 * T1^-1)^6 ]
Map:: polyhedral non-degenerate
	R = (1, 109, 3, 111, 5, 113)(2, 110, 6, 114, 7, 115)(4, 112, 10, 118, 11, 119)(8, 116, 18, 126, 19, 127)(9, 117, 16, 124, 20, 128)(12, 120, 25, 133, 22, 130)(13, 121, 26, 134, 27, 135)(14, 122, 28, 136, 29, 137)(15, 123, 23, 131, 30, 138)(17, 125, 31, 139, 32, 140)(21, 129, 38, 146, 39, 147)(24, 132, 40, 148, 41, 149)(33, 141, 53, 161, 54, 162)(34, 142, 36, 144, 55, 163)(35, 143, 56, 164, 57, 165)(37, 145, 51, 159, 58, 166)(42, 150, 64, 172, 60, 168)(43, 151, 44, 152, 65, 173)(45, 153, 66, 174, 67, 175)(46, 154, 68, 176, 69, 177)(47, 155, 49, 157, 70, 178)(48, 156, 71, 179, 72, 180)(50, 158, 62, 170, 73, 181)(52, 160, 74, 182, 75, 183)(59, 167, 84, 192, 85, 193)(61, 169, 86, 194, 87, 195)(63, 171, 88, 196, 76, 184)(77, 185, 79, 187, 99, 207)(78, 186, 101, 209, 102, 210)(80, 188, 82, 190, 103, 211)(81, 189, 104, 212, 94, 202)(83, 191, 100, 208, 89, 197)(90, 198, 91, 199, 106, 214)(92, 200, 93, 201, 95, 203)(96, 204, 98, 206, 107, 215)(97, 205, 108, 216, 105, 213)
	L = (1, 110)(2, 112)(3, 116)(4, 109)(5, 120)(6, 122)(7, 124)(8, 117)(9, 111)(10, 129)(11, 131)(12, 121)(13, 113)(14, 123)(15, 114)(16, 125)(17, 115)(18, 141)(19, 134)(20, 144)(21, 130)(22, 118)(23, 132)(24, 119)(25, 150)(26, 143)(27, 152)(28, 154)(29, 139)(30, 157)(31, 156)(32, 159)(33, 142)(34, 126)(35, 127)(36, 145)(37, 128)(38, 167)(39, 148)(40, 169)(41, 170)(42, 151)(43, 133)(44, 153)(45, 135)(46, 155)(47, 136)(48, 137)(49, 158)(50, 138)(51, 160)(52, 140)(53, 184)(54, 164)(55, 187)(56, 186)(57, 174)(58, 190)(59, 168)(60, 146)(61, 147)(62, 171)(63, 149)(64, 197)(65, 199)(66, 189)(67, 201)(68, 175)(69, 179)(70, 203)(71, 202)(72, 182)(73, 206)(74, 205)(75, 208)(76, 185)(77, 161)(78, 162)(79, 188)(80, 163)(81, 165)(82, 191)(83, 166)(84, 183)(85, 194)(86, 213)(87, 196)(88, 209)(89, 198)(90, 172)(91, 200)(92, 173)(93, 176)(94, 177)(95, 204)(96, 178)(97, 180)(98, 207)(99, 181)(100, 192)(101, 195)(102, 212)(103, 215)(104, 216)(105, 193)(106, 211)(107, 214)(108, 210)
	local type(s) :: { ( 3, 6, 3, 6, 3, 6 ) }
Outer automorphisms :: reflexible
Dual of E10.789
Transitivity :: ET+ VT+ AT
Graph:: simple
	v = 36 e = 108 f = 54
	degree seq :: [ 6^36 ]

E10.791 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 3, 6})
Quotient :: dipole
Aut^+ = (C6 x C6) : C3 (small group id <108, 22>)
Aut   = ((C6 x C6) : C3) : C2 (small group id <216, 95>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, Y1^3, (R * Y1)^2, (R * Y3)^2, (Y1 * Y2^-1)^3, (Y2^-1 * Y1^-1)^3, (Y2^-1 * Y1)^3, Y2^6, (Y3^-1 * Y1^-1)^3, Y1 * Y2^-3 * Y1 * Y2^-1 * Y1^-1 * Y2^2 * Y1^-1 * Y2^-1 ]
Map::
	R = (1, 109, 2, 110, 4, 112)(3, 111, 8, 116, 10, 118)(5, 113, 13, 121, 14, 122)(6, 114, 16, 124, 18, 126)(7, 115, 19, 127, 20, 128)(9, 117, 24, 132, 26, 134)(11, 119, 28, 136, 30, 138)(12, 120, 31, 139, 22, 130)(15, 123, 35, 143, 36, 144)(17, 125, 38, 146, 40, 148)(21, 129, 44, 152, 45, 153)(23, 131, 47, 155, 43, 151)(25, 133, 51, 159, 52, 160)(27, 135, 54, 162, 49, 157)(29, 137, 57, 165, 59, 167)(32, 140, 61, 169, 62, 170)(33, 141, 63, 171, 41, 149)(34, 142, 56, 164, 66, 174)(37, 145, 69, 177, 46, 154)(39, 147, 72, 180, 73, 181)(42, 150, 76, 184, 60, 168)(48, 156, 82, 190, 80, 188)(50, 158, 83, 191, 78, 186)(53, 161, 88, 196, 85, 193)(55, 163, 90, 198, 91, 199)(58, 166, 94, 202, 95, 203)(64, 172, 99, 207, 74, 182)(65, 173, 93, 201, 100, 208)(67, 175, 87, 195, 75, 183)(68, 176, 92, 200, 86, 194)(70, 178, 103, 211, 98, 206)(71, 179, 104, 212, 81, 189)(77, 185, 107, 215, 96, 204)(79, 187, 105, 213, 97, 205)(84, 192, 102, 210, 108, 216)(89, 197, 106, 214, 101, 209)(217, 325, 219, 327, 225, 333, 241, 349, 231, 339, 221, 329)(218, 326, 222, 330, 233, 341, 255, 363, 237, 345, 223, 331)(220, 328, 227, 335, 245, 353, 274, 382, 248, 356, 228, 336)(224, 332, 238, 346, 262, 370, 297, 405, 264, 372, 239, 347)(226, 334, 235, 343, 258, 366, 293, 401, 271, 379, 243, 351)(229, 337, 249, 357, 280, 388, 313, 421, 276, 384, 246, 354)(230, 338, 250, 358, 281, 389, 286, 394, 253, 361, 232, 340)(234, 342, 247, 355, 270, 378, 304, 412, 291, 399, 257, 365)(236, 344, 259, 367, 294, 402, 308, 416, 272, 380, 244, 352)(240, 348, 265, 373, 278, 386, 314, 422, 300, 408, 266, 374)(242, 350, 263, 371, 260, 368, 295, 403, 305, 413, 269, 377)(251, 359, 283, 391, 317, 425, 312, 420, 275, 383, 282, 390)(252, 360, 284, 392, 318, 426, 287, 395, 254, 362, 279, 387)(256, 364, 285, 393, 277, 385, 306, 414, 322, 430, 290, 398)(261, 369, 296, 404, 324, 432, 309, 417, 273, 381, 292, 400)(267, 375, 301, 409, 307, 415, 311, 419, 316, 424, 302, 410)(268, 376, 299, 407, 298, 406, 288, 396, 315, 423, 303, 411)(289, 397, 320, 428, 319, 427, 310, 418, 323, 431, 321, 429)
	L = (1, 219)(2, 222)(3, 225)(4, 227)(5, 217)(6, 233)(7, 218)(8, 238)(9, 241)(10, 235)(11, 245)(12, 220)(13, 249)(14, 250)(15, 221)(16, 230)(17, 255)(18, 247)(19, 258)(20, 259)(21, 223)(22, 262)(23, 224)(24, 265)(25, 231)(26, 263)(27, 226)(28, 236)(29, 274)(30, 229)(31, 270)(32, 228)(33, 280)(34, 281)(35, 283)(36, 284)(37, 232)(38, 279)(39, 237)(40, 285)(41, 234)(42, 293)(43, 294)(44, 295)(45, 296)(46, 297)(47, 260)(48, 239)(49, 278)(50, 240)(51, 301)(52, 299)(53, 242)(54, 304)(55, 243)(56, 244)(57, 292)(58, 248)(59, 282)(60, 246)(61, 306)(62, 314)(63, 252)(64, 313)(65, 286)(66, 251)(67, 317)(68, 318)(69, 277)(70, 253)(71, 254)(72, 315)(73, 320)(74, 256)(75, 257)(76, 261)(77, 271)(78, 308)(79, 305)(80, 324)(81, 264)(82, 288)(83, 298)(84, 266)(85, 307)(86, 267)(87, 268)(88, 291)(89, 269)(90, 322)(91, 311)(92, 272)(93, 273)(94, 323)(95, 316)(96, 275)(97, 276)(98, 300)(99, 303)(100, 302)(101, 312)(102, 287)(103, 310)(104, 319)(105, 289)(106, 290)(107, 321)(108, 309)(109, 325)(110, 326)(111, 327)(112, 328)(113, 329)(114, 330)(115, 331)(116, 332)(117, 333)(118, 334)(119, 335)(120, 336)(121, 337)(122, 338)(123, 339)(124, 340)(125, 341)(126, 342)(127, 343)(128, 344)(129, 345)(130, 346)(131, 347)(132, 348)(133, 349)(134, 350)(135, 351)(136, 352)(137, 353)(138, 354)(139, 355)(140, 356)(141, 357)(142, 358)(143, 359)(144, 360)(145, 361)(146, 362)(147, 363)(148, 364)(149, 365)(150, 366)(151, 367)(152, 368)(153, 369)(154, 370)(155, 371)(156, 372)(157, 373)(158, 374)(159, 375)(160, 376)(161, 377)(162, 378)(163, 379)(164, 380)(165, 381)(166, 382)(167, 383)(168, 384)(169, 385)(170, 386)(171, 387)(172, 388)(173, 389)(174, 390)(175, 391)(176, 392)(177, 393)(178, 394)(179, 395)(180, 396)(181, 397)(182, 398)(183, 399)(184, 400)(185, 401)(186, 402)(187, 403)(188, 404)(189, 405)(190, 406)(191, 407)(192, 408)(193, 409)(194, 410)(195, 411)(196, 412)(197, 413)(198, 414)(199, 415)(200, 416)(201, 417)(202, 418)(203, 419)(204, 420)(205, 421)(206, 422)(207, 423)(208, 424)(209, 425)(210, 426)(211, 427)(212, 428)(213, 429)(214, 430)(215, 431)(216, 432)
	local type(s) :: { ( 2, 6, 2, 6, 2, 6 ), ( 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6 ) }
Outer automorphisms :: reflexible
Dual of E10.792
Graph:: bipartite
	v = 54 e = 216 f = 144
	degree seq :: [ 6^36, 12^18 ]

E10.792 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 3, 6})
Quotient :: dipole
Aut^+ = (C6 x C6) : C3 (small group id <108, 22>)
Aut   = ((C6 x C6) : C3) : C2 (small group id <216, 95>)
|r| :: 2
Presentation :: [ Y1, R^2, Y2^3, (R * Y3)^2, (R * Y1)^2, (Y3 * Y2)^3, (Y3 * Y2^-1)^3, (Y3 * Y2)^3, (R * Y2 * Y3^-1)^2, (Y3 * Y2^-1)^3, (Y3^-1 * Y1^-1)^6 ]
Map:: polytopal
	R = (1, 109)(2, 110)(3, 111)(4, 112)(5, 113)(6, 114)(7, 115)(8, 116)(9, 117)(10, 118)(11, 119)(12, 120)(13, 121)(14, 122)(15, 123)(16, 124)(17, 125)(18, 126)(19, 127)(20, 128)(21, 129)(22, 130)(23, 131)(24, 132)(25, 133)(26, 134)(27, 135)(28, 136)(29, 137)(30, 138)(31, 139)(32, 140)(33, 141)(34, 142)(35, 143)(36, 144)(37, 145)(38, 146)(39, 147)(40, 148)(41, 149)(42, 150)(43, 151)(44, 152)(45, 153)(46, 154)(47, 155)(48, 156)(49, 157)(50, 158)(51, 159)(52, 160)(53, 161)(54, 162)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)(217, 325, 218, 326, 220, 328)(219, 327, 224, 332, 226, 334)(221, 329, 229, 337, 230, 338)(222, 330, 232, 340, 234, 342)(223, 331, 235, 343, 236, 344)(225, 333, 240, 348, 242, 350)(227, 335, 244, 352, 246, 354)(228, 336, 247, 355, 238, 346)(231, 339, 251, 359, 252, 360)(233, 341, 254, 362, 256, 364)(237, 345, 260, 368, 261, 369)(239, 347, 263, 371, 259, 367)(241, 349, 267, 375, 268, 376)(243, 351, 270, 378, 265, 373)(245, 353, 273, 381, 275, 383)(248, 356, 277, 385, 278, 386)(249, 357, 279, 387, 257, 365)(250, 358, 272, 380, 282, 390)(253, 361, 285, 393, 262, 370)(255, 363, 288, 396, 289, 397)(258, 366, 292, 400, 276, 384)(264, 372, 298, 406, 296, 404)(266, 374, 299, 407, 294, 402)(269, 377, 304, 412, 301, 409)(271, 379, 306, 414, 307, 415)(274, 382, 310, 418, 311, 419)(280, 388, 315, 423, 290, 398)(281, 389, 309, 417, 316, 424)(283, 391, 303, 411, 291, 399)(284, 392, 308, 416, 302, 410)(286, 394, 319, 427, 314, 422)(287, 395, 320, 428, 297, 405)(293, 401, 323, 431, 312, 420)(295, 403, 321, 429, 313, 421)(300, 408, 318, 426, 324, 432)(305, 413, 322, 430, 317, 425)
	L = (1, 219)(2, 222)(3, 225)(4, 227)(5, 217)(6, 233)(7, 218)(8, 238)(9, 241)(10, 235)(11, 245)(12, 220)(13, 249)(14, 250)(15, 221)(16, 230)(17, 255)(18, 247)(19, 258)(20, 259)(21, 223)(22, 262)(23, 224)(24, 265)(25, 231)(26, 263)(27, 226)(28, 236)(29, 274)(30, 229)(31, 270)(32, 228)(33, 280)(34, 281)(35, 283)(36, 284)(37, 232)(38, 279)(39, 237)(40, 285)(41, 234)(42, 293)(43, 294)(44, 295)(45, 296)(46, 297)(47, 260)(48, 239)(49, 278)(50, 240)(51, 301)(52, 299)(53, 242)(54, 304)(55, 243)(56, 244)(57, 292)(58, 248)(59, 282)(60, 246)(61, 306)(62, 314)(63, 252)(64, 313)(65, 286)(66, 251)(67, 317)(68, 318)(69, 277)(70, 253)(71, 254)(72, 315)(73, 320)(74, 256)(75, 257)(76, 261)(77, 271)(78, 308)(79, 305)(80, 324)(81, 264)(82, 288)(83, 298)(84, 266)(85, 307)(86, 267)(87, 268)(88, 291)(89, 269)(90, 322)(91, 311)(92, 272)(93, 273)(94, 323)(95, 316)(96, 275)(97, 276)(98, 300)(99, 303)(100, 302)(101, 312)(102, 287)(103, 310)(104, 319)(105, 289)(106, 290)(107, 321)(108, 309)(109, 325)(110, 326)(111, 327)(112, 328)(113, 329)(114, 330)(115, 331)(116, 332)(117, 333)(118, 334)(119, 335)(120, 336)(121, 337)(122, 338)(123, 339)(124, 340)(125, 341)(126, 342)(127, 343)(128, 344)(129, 345)(130, 346)(131, 347)(132, 348)(133, 349)(134, 350)(135, 351)(136, 352)(137, 353)(138, 354)(139, 355)(140, 356)(141, 357)(142, 358)(143, 359)(144, 360)(145, 361)(146, 362)(147, 363)(148, 364)(149, 365)(150, 366)(151, 367)(152, 368)(153, 369)(154, 370)(155, 371)(156, 372)(157, 373)(158, 374)(159, 375)(160, 376)(161, 377)(162, 378)(163, 379)(164, 380)(165, 381)(166, 382)(167, 383)(168, 384)(169, 385)(170, 386)(171, 387)(172, 388)(173, 389)(174, 390)(175, 391)(176, 392)(177, 393)(178, 394)(179, 395)(180, 396)(181, 397)(182, 398)(183, 399)(184, 400)(185, 401)(186, 402)(187, 403)(188, 404)(189, 405)(190, 406)(191, 407)(192, 408)(193, 409)(194, 410)(195, 411)(196, 412)(197, 413)(198, 414)(199, 415)(200, 416)(201, 417)(202, 418)(203, 419)(204, 420)(205, 421)(206, 422)(207, 423)(208, 424)(209, 425)(210, 426)(211, 427)(212, 428)(213, 429)(214, 430)(215, 431)(216, 432)
	local type(s) :: { ( 6, 12 ), ( 6, 12, 6, 12, 6, 12 ) }
Outer automorphisms :: reflexible
Dual of E10.791
Graph:: simple bipartite
	v = 144 e = 216 f = 54
	degree seq :: [ 2^108, 6^36 ]

E10.793 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 6, 6})
Quotient :: regular
Aut^+ = C2 x (((C3 x C3) : C3) : C2) (small group id <108, 25>)
Aut   = C2 x ((((C3 x C3) : C3) : C2) : C2) (small group id <216, 102>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T1^6, T1^6, (T1^-1 * T2 * T1^-2)^2, (T2 * T1 * T2 * T1^-1)^3, (T1^-1 * T2)^6, (T2 * T1 * T2 * T1 * T2 * T1^-2)^2 ]
Map:: polytopal non-degenerate
	R = (1, 2, 5, 11, 10, 4)(3, 7, 15, 22, 18, 8)(6, 13, 25, 21, 28, 14)(9, 19, 24, 12, 23, 20)(16, 30, 47, 34, 50, 31)(17, 32, 46, 29, 45, 33)(26, 40, 63, 44, 66, 41)(27, 42, 62, 39, 61, 43)(35, 53, 58, 37, 57, 54)(36, 55, 60, 38, 59, 56)(48, 72, 94, 75, 84, 73)(49, 67, 91, 71, 85, 74)(51, 76, 82, 69, 93, 77)(52, 78, 90, 70, 88, 64)(65, 83, 100, 87, 80, 89)(68, 92, 79, 86, 99, 81)(95, 101, 107, 106, 98, 104)(96, 102, 97, 103, 108, 105)
	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, 79)(54, 77)(55, 80)(56, 72)(57, 81)(58, 82)(59, 83)(60, 84)(61, 85)(62, 86)(63, 87)(66, 90)(73, 95)(74, 96)(76, 97)(78, 98)(88, 101)(89, 102)(91, 103)(92, 104)(93, 105)(94, 106)(99, 107)(100, 108)
	local type(s) :: { ( 6^6 ) }
Outer automorphisms :: reflexible
Dual of E10.795
Transitivity :: ET+ VT+ AT+ REG+
Graph:: bipartite
	v = 18 e = 54 f = 18
	degree seq :: [ 6^18 ]

E10.794 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 6, 6})
Quotient :: regular
Aut^+ = (((C3 x C3) : C3) : C2) : C2 (small group id <108, 17>)
Aut   = C2 x ((((C3 x C3) : C3) : C2) : C2) (small group id <216, 102>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T1^6, (T1^-1 * T2 * T1 * T2 * T1^-1)^2, T2 * T1^-3 * T2 * T1^-2 * T2 * T1^-1 * T2 * T1^-2, (T2 * T1 * T2 * T1 * T2 * T1^-1)^2, (T1^-1 * T2)^6 ]
Map:: polytopal non-degenerate
	R = (1, 2, 5, 11, 10, 4)(3, 7, 15, 29, 18, 8)(6, 13, 25, 48, 28, 14)(9, 19, 36, 66, 39, 20)(12, 23, 44, 78, 47, 24)(16, 31, 57, 82, 46, 32)(17, 33, 60, 96, 63, 34)(21, 40, 71, 94, 73, 41)(22, 42, 74, 99, 77, 43)(26, 50, 86, 101, 76, 51)(27, 52, 37, 67, 91, 53)(30, 56, 79, 70, 92, 54)(35, 64, 83, 49, 85, 65)(38, 68, 75, 100, 84, 69)(45, 80, 55, 93, 72, 81)(58, 95, 106, 108, 102, 90)(59, 89, 61, 97, 103, 88)(62, 98, 105, 107, 104, 87)
	L = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 17)(10, 21)(11, 22)(13, 26)(14, 27)(15, 30)(18, 35)(19, 37)(20, 38)(23, 45)(24, 46)(25, 49)(28, 54)(29, 55)(31, 58)(32, 59)(33, 61)(34, 62)(36, 64)(39, 70)(40, 60)(41, 72)(42, 75)(43, 76)(44, 79)(47, 83)(48, 84)(50, 87)(51, 88)(52, 89)(53, 90)(56, 77)(57, 94)(63, 78)(65, 74)(66, 86)(67, 98)(68, 97)(69, 95)(71, 92)(73, 85)(80, 102)(81, 103)(82, 104)(91, 99)(93, 105)(96, 106)(100, 107)(101, 108)
	local type(s) :: { ( 6^6 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: ET+ VT+ AT+ REG+
Graph:: simple bipartite
	v = 18 e = 54 f = 18
	degree seq :: [ 6^18 ]

E10.795 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 6, 6})
Quotient :: regular
Aut^+ = C2 x (((C3 x C3) : C3) : C2) (small group id <108, 25>)
Aut   = C2 x ((((C3 x C3) : C3) : C2) : C2) (small group id <216, 102>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T1^6, (T2 * T1^-2 * T2 * T1^-1)^2, T2 * T1^2 * T2 * T1^-2 * T2 * T1^-2 * T2 * T1^2, (T1 * T2)^6, (T2 * T1 * T2 * T1^-1)^3 ]
Map:: polytopal non-degenerate
	R = (1, 2, 5, 11, 10, 4)(3, 7, 15, 29, 18, 8)(6, 13, 25, 48, 28, 14)(9, 19, 36, 66, 39, 20)(12, 23, 44, 78, 47, 24)(16, 31, 58, 94, 61, 32)(17, 33, 62, 80, 45, 34)(21, 40, 71, 97, 73, 41)(22, 42, 74, 99, 77, 43)(26, 50, 38, 70, 88, 51)(27, 52, 89, 100, 75, 53)(30, 56, 79, 54, 92, 57)(35, 65, 83, 67, 85, 49)(37, 68, 76, 101, 84, 69)(46, 81, 55, 93, 72, 82)(59, 86, 64, 91, 104, 95)(60, 90, 102, 108, 105, 96)(63, 87, 103, 107, 106, 98)
	L = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 17)(10, 21)(11, 22)(13, 26)(14, 27)(15, 30)(18, 35)(19, 37)(20, 38)(23, 45)(24, 46)(25, 49)(28, 54)(29, 55)(31, 59)(32, 60)(33, 63)(34, 64)(36, 67)(39, 56)(40, 72)(41, 58)(42, 75)(43, 76)(44, 79)(47, 83)(48, 84)(50, 86)(51, 87)(52, 90)(53, 91)(57, 77)(61, 78)(62, 97)(65, 74)(66, 89)(68, 95)(69, 98)(70, 96)(71, 92)(73, 85)(80, 102)(81, 103)(82, 104)(88, 99)(93, 105)(94, 106)(100, 107)(101, 108)
	local type(s) :: { ( 6^6 ) }
Outer automorphisms :: reflexible
Dual of E10.793
Transitivity :: ET+ VT+ AT+ REG+
Graph:: simple bipartite
	v = 18 e = 54 f = 18
	degree seq :: [ 6^18 ]

E10.796 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 6, 6})
Quotient :: edge
Aut^+ = C2 x (((C3 x C3) : C3) : C2) (small group id <108, 25>)
Aut   = C2 x ((((C3 x C3) : C3) : C2) : C2) (small group id <216, 102>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, T2^6, T2^6, (T2^-1 * T1 * T2^-2)^2, (T2^-1 * T1)^6, (T1 * T2 * T1 * T2^-1)^3, (T2^-1 * T1 * T2 * T1 * T2 * T1 * T2^-1)^2 ]
Map:: polytopal
	R = (1, 3, 8, 18, 10, 4)(2, 5, 12, 25, 14, 6)(7, 15, 30, 21, 32, 16)(9, 19, 34, 17, 33, 20)(11, 22, 38, 28, 40, 23)(13, 26, 42, 24, 41, 27)(29, 45, 69, 50, 71, 46)(31, 48, 73, 47, 72, 49)(35, 53, 76, 51, 75, 54)(36, 55, 78, 52, 77, 56)(37, 57, 81, 62, 83, 58)(39, 60, 85, 59, 84, 61)(43, 65, 88, 63, 87, 66)(44, 67, 90, 64, 89, 68)(70, 94, 105, 93, 80, 95)(74, 97, 79, 96, 106, 98)(82, 100, 107, 99, 92, 101)(86, 103, 91, 102, 108, 104)(109, 110)(111, 115)(112, 117)(113, 119)(114, 121)(116, 125)(118, 129)(120, 132)(122, 136)(123, 137)(124, 139)(126, 133)(127, 143)(128, 144)(130, 145)(131, 147)(134, 151)(135, 152)(138, 155)(140, 158)(141, 159)(142, 160)(146, 167)(148, 170)(149, 171)(150, 172)(153, 176)(154, 178)(156, 168)(157, 182)(161, 187)(162, 174)(163, 188)(164, 165)(166, 190)(169, 194)(173, 199)(175, 200)(177, 201)(179, 198)(180, 192)(181, 204)(183, 206)(184, 196)(185, 202)(186, 191)(189, 207)(193, 210)(195, 212)(197, 208)(203, 211)(205, 209)(213, 216)(214, 215)
	L = (1, 109)(2, 110)(3, 111)(4, 112)(5, 113)(6, 114)(7, 115)(8, 116)(9, 117)(10, 118)(11, 119)(12, 120)(13, 121)(14, 122)(15, 123)(16, 124)(17, 125)(18, 126)(19, 127)(20, 128)(21, 129)(22, 130)(23, 131)(24, 132)(25, 133)(26, 134)(27, 135)(28, 136)(29, 137)(30, 138)(31, 139)(32, 140)(33, 141)(34, 142)(35, 143)(36, 144)(37, 145)(38, 146)(39, 147)(40, 148)(41, 149)(42, 150)(43, 151)(44, 152)(45, 153)(46, 154)(47, 155)(48, 156)(49, 157)(50, 158)(51, 159)(52, 160)(53, 161)(54, 162)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 12, 12 ), ( 12^6 ) }
Outer automorphisms :: reflexible
Dual of E10.801
Transitivity :: ET+
Graph:: simple bipartite
	v = 72 e = 108 f = 18
	degree seq :: [ 2^54, 6^18 ]

E10.797 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 6, 6})
Quotient :: edge
Aut^+ = C2 x (((C3 x C3) : C3) : C2) (small group id <108, 25>)
Aut   = C2 x ((((C3 x C3) : C3) : C2) : C2) (small group id <216, 102>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, T2^6, (T2^-1 * T1 * T2^-2 * T1)^2, (T2 * T1)^6, T2^2 * T1 * T2^3 * T1 * T2^2 * T1 * T2^-1 * T1, (T2 * T1 * T2^-1 * T1)^3 ]
Map:: polytopal
	R = (1, 3, 8, 18, 10, 4)(2, 5, 12, 25, 14, 6)(7, 15, 30, 57, 32, 16)(9, 19, 37, 69, 39, 20)(11, 22, 43, 76, 45, 23)(13, 26, 50, 88, 52, 27)(17, 33, 61, 79, 63, 34)(21, 40, 72, 87, 73, 41)(24, 46, 80, 60, 82, 47)(28, 53, 91, 68, 92, 54)(29, 55, 38, 70, 93, 56)(31, 58, 95, 106, 96, 59)(35, 64, 90, 103, 81, 65)(36, 66, 98, 105, 94, 67)(42, 74, 51, 89, 99, 75)(44, 77, 101, 108, 102, 78)(48, 83, 71, 97, 62, 84)(49, 85, 104, 107, 100, 86)(109, 110)(111, 115)(112, 117)(113, 119)(114, 121)(116, 125)(118, 129)(120, 132)(122, 136)(123, 137)(124, 139)(126, 143)(127, 144)(128, 146)(130, 150)(131, 152)(133, 156)(134, 157)(135, 159)(138, 162)(140, 168)(141, 160)(142, 170)(145, 176)(147, 154)(148, 179)(149, 151)(153, 187)(155, 189)(158, 195)(161, 198)(163, 182)(164, 193)(165, 202)(166, 185)(167, 197)(169, 188)(171, 199)(172, 204)(173, 206)(174, 183)(175, 194)(177, 203)(178, 186)(180, 190)(181, 200)(184, 208)(191, 210)(192, 212)(196, 209)(201, 211)(205, 207)(213, 216)(214, 215)
	L = (1, 109)(2, 110)(3, 111)(4, 112)(5, 113)(6, 114)(7, 115)(8, 116)(9, 117)(10, 118)(11, 119)(12, 120)(13, 121)(14, 122)(15, 123)(16, 124)(17, 125)(18, 126)(19, 127)(20, 128)(21, 129)(22, 130)(23, 131)(24, 132)(25, 133)(26, 134)(27, 135)(28, 136)(29, 137)(30, 138)(31, 139)(32, 140)(33, 141)(34, 142)(35, 143)(36, 144)(37, 145)(38, 146)(39, 147)(40, 148)(41, 149)(42, 150)(43, 151)(44, 152)(45, 153)(46, 154)(47, 155)(48, 156)(49, 157)(50, 158)(51, 159)(52, 160)(53, 161)(54, 162)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 12, 12 ), ( 12^6 ) }
Outer automorphisms :: reflexible
Dual of E10.800
Transitivity :: ET+
Graph:: simple bipartite
	v = 72 e = 108 f = 18
	degree seq :: [ 2^54, 6^18 ]

E10.798 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 6, 6})
Quotient :: edge
Aut^+ = (((C3 x C3) : C3) : C2) : C2 (small group id <108, 17>)
Aut   = C2 x ((((C3 x C3) : C3) : C2) : C2) (small group id <216, 102>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, T2^6, (T2^-1 * T1 * T2^2 * T1)^2, (T2^-1 * T1 * T2 * T1 * T2^-1 * T1)^2, T2^3 * T1 * T2^-2 * T1 * T2^-1 * T1 * T2^-2 * T1, (T2^-1 * T1)^6 ]
Map:: polytopal
	R = (1, 3, 8, 18, 10, 4)(2, 5, 12, 25, 14, 6)(7, 15, 30, 58, 32, 16)(9, 19, 37, 67, 39, 20)(11, 22, 43, 77, 45, 23)(13, 26, 50, 86, 52, 27)(17, 33, 62, 89, 63, 34)(21, 40, 71, 76, 73, 41)(24, 46, 81, 70, 82, 47)(28, 53, 90, 57, 92, 54)(29, 55, 93, 105, 94, 56)(31, 59, 36, 66, 96, 60)(35, 64, 91, 103, 80, 65)(38, 68, 98, 106, 95, 69)(42, 74, 99, 107, 100, 75)(44, 78, 49, 85, 102, 79)(48, 83, 72, 97, 61, 84)(51, 87, 104, 108, 101, 88)(109, 110)(111, 115)(112, 117)(113, 119)(114, 121)(116, 125)(118, 129)(120, 132)(122, 136)(123, 137)(124, 139)(126, 143)(127, 144)(128, 146)(130, 150)(131, 152)(133, 156)(134, 157)(135, 159)(138, 165)(140, 155)(141, 169)(142, 153)(145, 161)(147, 178)(148, 158)(149, 180)(151, 184)(154, 188)(160, 197)(162, 199)(163, 196)(164, 187)(166, 203)(167, 186)(168, 183)(170, 189)(171, 198)(172, 206)(173, 202)(174, 195)(175, 201)(176, 193)(177, 182)(179, 190)(181, 200)(185, 209)(191, 212)(192, 208)(194, 207)(204, 211)(205, 210)(213, 215)(214, 216)
	L = (1, 109)(2, 110)(3, 111)(4, 112)(5, 113)(6, 114)(7, 115)(8, 116)(9, 117)(10, 118)(11, 119)(12, 120)(13, 121)(14, 122)(15, 123)(16, 124)(17, 125)(18, 126)(19, 127)(20, 128)(21, 129)(22, 130)(23, 131)(24, 132)(25, 133)(26, 134)(27, 135)(28, 136)(29, 137)(30, 138)(31, 139)(32, 140)(33, 141)(34, 142)(35, 143)(36, 144)(37, 145)(38, 146)(39, 147)(40, 148)(41, 149)(42, 150)(43, 151)(44, 152)(45, 153)(46, 154)(47, 155)(48, 156)(49, 157)(50, 158)(51, 159)(52, 160)(53, 161)(54, 162)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 12, 12 ), ( 12^6 ) }
Outer automorphisms :: reflexible
Dual of E10.802
Transitivity :: ET+
Graph:: simple bipartite
	v = 72 e = 108 f = 18
	degree seq :: [ 2^54, 6^18 ]

E10.799 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 6, 6})
Quotient :: edge
Aut^+ = C2 x (((C3 x C3) : C3) : C2) (small group id <108, 25>)
Aut   = C2 x ((((C3 x C3) : C3) : C2) : C2) (small group id <216, 102>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, (T1^-1 * T2^-1)^2, (T2 * T1^-2)^2, T2^6, T1^6, T2 * T1^-1 * T2^2 * T1^2 * T2^2 * T1^-1 * T2, T1^-1 * T2^-2 * T1 * T2^-2 * T1 * T2^-2 * T1^-1 ]
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, 86, 52, 25)(13, 31, 59, 90, 57, 29)(14, 32, 60, 92, 62, 33)(16, 35, 64, 93, 65, 36)(20, 43, 76, 100, 72, 40)(21, 44, 77, 104, 79, 45)(23, 47, 81, 105, 82, 48)(27, 55, 78, 101, 88, 53)(34, 54, 89, 95, 68, 63)(38, 69, 97, 107, 94, 66)(42, 75, 49, 83, 102, 73)(46, 74, 103, 85, 51, 80)(58, 91, 61, 87, 106, 84)(70, 96, 108, 99, 71, 98)(109, 110, 114, 124, 121, 112)(111, 117, 131, 143, 126, 119)(113, 122, 139, 144, 128, 115)(116, 129, 120, 137, 146, 125)(118, 133, 159, 172, 156, 135)(123, 142, 151, 173, 169, 140)(127, 148, 179, 167, 141, 150)(130, 154, 177, 165, 186, 152)(132, 157, 136, 147, 178, 155)(134, 161, 195, 201, 193, 162)(138, 153, 176, 145, 174, 166)(149, 181, 209, 198, 207, 182)(158, 192, 204, 175, 203, 191)(160, 185, 163, 190, 205, 188)(164, 183, 170, 189, 206, 180)(168, 199, 202, 184, 171, 187)(194, 208, 215, 213, 200, 212)(196, 210, 197, 211, 216, 214)
	L = (1, 109)(2, 110)(3, 111)(4, 112)(5, 113)(6, 114)(7, 115)(8, 116)(9, 117)(10, 118)(11, 119)(12, 120)(13, 121)(14, 122)(15, 123)(16, 124)(17, 125)(18, 126)(19, 127)(20, 128)(21, 129)(22, 130)(23, 131)(24, 132)(25, 133)(26, 134)(27, 135)(28, 136)(29, 137)(30, 138)(31, 139)(32, 140)(33, 141)(34, 142)(35, 143)(36, 144)(37, 145)(38, 146)(39, 147)(40, 148)(41, 149)(42, 150)(43, 151)(44, 152)(45, 153)(46, 154)(47, 155)(48, 156)(49, 157)(50, 158)(51, 159)(52, 160)(53, 161)(54, 162)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 4^6 ) }
Outer automorphisms :: reflexible
Dual of E10.803
Transitivity :: ET+
Graph:: simple bipartite
	v = 36 e = 108 f = 54
	degree seq :: [ 6^36 ]

E10.800 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 6, 6})
Quotient :: loop
Aut^+ = C2 x (((C3 x C3) : C3) : C2) (small group id <108, 25>)
Aut   = C2 x ((((C3 x C3) : C3) : C2) : C2) (small group id <216, 102>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, T2^6, T2^6, (T2^-1 * T1 * T2^-2)^2, (T2^-1 * T1)^6, (T1 * T2 * T1 * T2^-1)^3, (T2^-1 * T1 * T2 * T1 * T2 * T1 * T2^-1)^2 ]
Map::
	R = (1, 109, 3, 111, 8, 116, 18, 126, 10, 118, 4, 112)(2, 110, 5, 113, 12, 120, 25, 133, 14, 122, 6, 114)(7, 115, 15, 123, 30, 138, 21, 129, 32, 140, 16, 124)(9, 117, 19, 127, 34, 142, 17, 125, 33, 141, 20, 128)(11, 119, 22, 130, 38, 146, 28, 136, 40, 148, 23, 131)(13, 121, 26, 134, 42, 150, 24, 132, 41, 149, 27, 135)(29, 137, 45, 153, 69, 177, 50, 158, 71, 179, 46, 154)(31, 139, 48, 156, 73, 181, 47, 155, 72, 180, 49, 157)(35, 143, 53, 161, 76, 184, 51, 159, 75, 183, 54, 162)(36, 144, 55, 163, 78, 186, 52, 160, 77, 185, 56, 164)(37, 145, 57, 165, 81, 189, 62, 170, 83, 191, 58, 166)(39, 147, 60, 168, 85, 193, 59, 167, 84, 192, 61, 169)(43, 151, 65, 173, 88, 196, 63, 171, 87, 195, 66, 174)(44, 152, 67, 175, 90, 198, 64, 172, 89, 197, 68, 176)(70, 178, 94, 202, 105, 213, 93, 201, 80, 188, 95, 203)(74, 182, 97, 205, 79, 187, 96, 204, 106, 214, 98, 206)(82, 190, 100, 208, 107, 215, 99, 207, 92, 200, 101, 209)(86, 194, 103, 211, 91, 199, 102, 210, 108, 216, 104, 212)
	L = (1, 110)(2, 109)(3, 115)(4, 117)(5, 119)(6, 121)(7, 111)(8, 125)(9, 112)(10, 129)(11, 113)(12, 132)(13, 114)(14, 136)(15, 137)(16, 139)(17, 116)(18, 133)(19, 143)(20, 144)(21, 118)(22, 145)(23, 147)(24, 120)(25, 126)(26, 151)(27, 152)(28, 122)(29, 123)(30, 155)(31, 124)(32, 158)(33, 159)(34, 160)(35, 127)(36, 128)(37, 130)(38, 167)(39, 131)(40, 170)(41, 171)(42, 172)(43, 134)(44, 135)(45, 176)(46, 178)(47, 138)(48, 168)(49, 182)(50, 140)(51, 141)(52, 142)(53, 187)(54, 174)(55, 188)(56, 165)(57, 164)(58, 190)(59, 146)(60, 156)(61, 194)(62, 148)(63, 149)(64, 150)(65, 199)(66, 162)(67, 200)(68, 153)(69, 201)(70, 154)(71, 198)(72, 192)(73, 204)(74, 157)(75, 206)(76, 196)(77, 202)(78, 191)(79, 161)(80, 163)(81, 207)(82, 166)(83, 186)(84, 180)(85, 210)(86, 169)(87, 212)(88, 184)(89, 208)(90, 179)(91, 173)(92, 175)(93, 177)(94, 185)(95, 211)(96, 181)(97, 209)(98, 183)(99, 189)(100, 197)(101, 205)(102, 193)(103, 203)(104, 195)(105, 216)(106, 215)(107, 214)(108, 213)
	local type(s) :: { ( 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6 ) }
Outer automorphisms :: reflexible
Dual of E10.797
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 18 e = 108 f = 72
	degree seq :: [ 12^18 ]

E10.801 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 6, 6})
Quotient :: loop
Aut^+ = C2 x (((C3 x C3) : C3) : C2) (small group id <108, 25>)
Aut   = C2 x ((((C3 x C3) : C3) : C2) : C2) (small group id <216, 102>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, T2^6, (T2^-1 * T1 * T2^-2 * T1)^2, (T2 * T1)^6, T2^2 * T1 * T2^3 * T1 * T2^2 * T1 * T2^-1 * T1, (T2 * T1 * T2^-1 * T1)^3 ]
Map::
	R = (1, 109, 3, 111, 8, 116, 18, 126, 10, 118, 4, 112)(2, 110, 5, 113, 12, 120, 25, 133, 14, 122, 6, 114)(7, 115, 15, 123, 30, 138, 57, 165, 32, 140, 16, 124)(9, 117, 19, 127, 37, 145, 69, 177, 39, 147, 20, 128)(11, 119, 22, 130, 43, 151, 76, 184, 45, 153, 23, 131)(13, 121, 26, 134, 50, 158, 88, 196, 52, 160, 27, 135)(17, 125, 33, 141, 61, 169, 79, 187, 63, 171, 34, 142)(21, 129, 40, 148, 72, 180, 87, 195, 73, 181, 41, 149)(24, 132, 46, 154, 80, 188, 60, 168, 82, 190, 47, 155)(28, 136, 53, 161, 91, 199, 68, 176, 92, 200, 54, 162)(29, 137, 55, 163, 38, 146, 70, 178, 93, 201, 56, 164)(31, 139, 58, 166, 95, 203, 106, 214, 96, 204, 59, 167)(35, 143, 64, 172, 90, 198, 103, 211, 81, 189, 65, 173)(36, 144, 66, 174, 98, 206, 105, 213, 94, 202, 67, 175)(42, 150, 74, 182, 51, 159, 89, 197, 99, 207, 75, 183)(44, 152, 77, 185, 101, 209, 108, 216, 102, 210, 78, 186)(48, 156, 83, 191, 71, 179, 97, 205, 62, 170, 84, 192)(49, 157, 85, 193, 104, 212, 107, 215, 100, 208, 86, 194)
	L = (1, 110)(2, 109)(3, 115)(4, 117)(5, 119)(6, 121)(7, 111)(8, 125)(9, 112)(10, 129)(11, 113)(12, 132)(13, 114)(14, 136)(15, 137)(16, 139)(17, 116)(18, 143)(19, 144)(20, 146)(21, 118)(22, 150)(23, 152)(24, 120)(25, 156)(26, 157)(27, 159)(28, 122)(29, 123)(30, 162)(31, 124)(32, 168)(33, 160)(34, 170)(35, 126)(36, 127)(37, 176)(38, 128)(39, 154)(40, 179)(41, 151)(42, 130)(43, 149)(44, 131)(45, 187)(46, 147)(47, 189)(48, 133)(49, 134)(50, 195)(51, 135)(52, 141)(53, 198)(54, 138)(55, 182)(56, 193)(57, 202)(58, 185)(59, 197)(60, 140)(61, 188)(62, 142)(63, 199)(64, 204)(65, 206)(66, 183)(67, 194)(68, 145)(69, 203)(70, 186)(71, 148)(72, 190)(73, 200)(74, 163)(75, 174)(76, 208)(77, 166)(78, 178)(79, 153)(80, 169)(81, 155)(82, 180)(83, 210)(84, 212)(85, 164)(86, 175)(87, 158)(88, 209)(89, 167)(90, 161)(91, 171)(92, 181)(93, 211)(94, 165)(95, 177)(96, 172)(97, 207)(98, 173)(99, 205)(100, 184)(101, 196)(102, 191)(103, 201)(104, 192)(105, 216)(106, 215)(107, 214)(108, 213)
	local type(s) :: { ( 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6 ) }
Outer automorphisms :: reflexible
Dual of E10.796
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 18 e = 108 f = 72
	degree seq :: [ 12^18 ]

E10.802 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 6, 6})
Quotient :: loop
Aut^+ = (((C3 x C3) : C3) : C2) : C2 (small group id <108, 17>)
Aut   = C2 x ((((C3 x C3) : C3) : C2) : C2) (small group id <216, 102>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, T2^6, (T2^-1 * T1 * T2^2 * T1)^2, (T2^-1 * T1 * T2 * T1 * T2^-1 * T1)^2, T2^3 * T1 * T2^-2 * T1 * T2^-1 * T1 * T2^-2 * T1, (T2^-1 * T1)^6 ]
Map::
	R = (1, 109, 3, 111, 8, 116, 18, 126, 10, 118, 4, 112)(2, 110, 5, 113, 12, 120, 25, 133, 14, 122, 6, 114)(7, 115, 15, 123, 30, 138, 58, 166, 32, 140, 16, 124)(9, 117, 19, 127, 37, 145, 67, 175, 39, 147, 20, 128)(11, 119, 22, 130, 43, 151, 77, 185, 45, 153, 23, 131)(13, 121, 26, 134, 50, 158, 86, 194, 52, 160, 27, 135)(17, 125, 33, 141, 62, 170, 89, 197, 63, 171, 34, 142)(21, 129, 40, 148, 71, 179, 76, 184, 73, 181, 41, 149)(24, 132, 46, 154, 81, 189, 70, 178, 82, 190, 47, 155)(28, 136, 53, 161, 90, 198, 57, 165, 92, 200, 54, 162)(29, 137, 55, 163, 93, 201, 105, 213, 94, 202, 56, 164)(31, 139, 59, 167, 36, 144, 66, 174, 96, 204, 60, 168)(35, 143, 64, 172, 91, 199, 103, 211, 80, 188, 65, 173)(38, 146, 68, 176, 98, 206, 106, 214, 95, 203, 69, 177)(42, 150, 74, 182, 99, 207, 107, 215, 100, 208, 75, 183)(44, 152, 78, 186, 49, 157, 85, 193, 102, 210, 79, 187)(48, 156, 83, 191, 72, 180, 97, 205, 61, 169, 84, 192)(51, 159, 87, 195, 104, 212, 108, 216, 101, 209, 88, 196)
	L = (1, 110)(2, 109)(3, 115)(4, 117)(5, 119)(6, 121)(7, 111)(8, 125)(9, 112)(10, 129)(11, 113)(12, 132)(13, 114)(14, 136)(15, 137)(16, 139)(17, 116)(18, 143)(19, 144)(20, 146)(21, 118)(22, 150)(23, 152)(24, 120)(25, 156)(26, 157)(27, 159)(28, 122)(29, 123)(30, 165)(31, 124)(32, 155)(33, 169)(34, 153)(35, 126)(36, 127)(37, 161)(38, 128)(39, 178)(40, 158)(41, 180)(42, 130)(43, 184)(44, 131)(45, 142)(46, 188)(47, 140)(48, 133)(49, 134)(50, 148)(51, 135)(52, 197)(53, 145)(54, 199)(55, 196)(56, 187)(57, 138)(58, 203)(59, 186)(60, 183)(61, 141)(62, 189)(63, 198)(64, 206)(65, 202)(66, 195)(67, 201)(68, 193)(69, 182)(70, 147)(71, 190)(72, 149)(73, 200)(74, 177)(75, 168)(76, 151)(77, 209)(78, 167)(79, 164)(80, 154)(81, 170)(82, 179)(83, 212)(84, 208)(85, 176)(86, 207)(87, 174)(88, 163)(89, 160)(90, 171)(91, 162)(92, 181)(93, 175)(94, 173)(95, 166)(96, 211)(97, 210)(98, 172)(99, 194)(100, 192)(101, 185)(102, 205)(103, 204)(104, 191)(105, 215)(106, 216)(107, 213)(108, 214)
	local type(s) :: { ( 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6 ) }
Outer automorphisms :: reflexible
Dual of E10.798
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 18 e = 108 f = 72
	degree seq :: [ 12^18 ]

E10.803 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 6, 6})
Quotient :: loop
Aut^+ = C2 x (((C3 x C3) : C3) : C2) (small group id <108, 25>)
Aut   = C2 x ((((C3 x C3) : C3) : C2) : C2) (small group id <216, 102>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T1^6, T1^6, (T1^-1 * T2 * T1^-2)^2, (T2 * T1^-1)^6, (T2 * T1 * T2 * T1^-1)^3, (T2 * T1 * T2 * T1 * T2 * T1^-2)^2 ]
Map:: polytopal non-degenerate
	R = (1, 109, 3, 111)(2, 110, 6, 114)(4, 112, 9, 117)(5, 113, 12, 120)(7, 115, 16, 124)(8, 116, 17, 125)(10, 118, 21, 129)(11, 119, 22, 130)(13, 121, 26, 134)(14, 122, 27, 135)(15, 123, 29, 137)(18, 126, 34, 142)(19, 127, 35, 143)(20, 128, 36, 144)(23, 131, 37, 145)(24, 132, 38, 146)(25, 133, 39, 147)(28, 136, 44, 152)(30, 138, 48, 156)(31, 139, 49, 157)(32, 140, 51, 159)(33, 141, 52, 160)(40, 148, 64, 172)(41, 149, 65, 173)(42, 150, 67, 175)(43, 151, 68, 176)(45, 153, 69, 177)(46, 154, 70, 178)(47, 155, 71, 179)(50, 158, 75, 183)(53, 161, 79, 187)(54, 162, 77, 185)(55, 163, 80, 188)(56, 164, 72, 180)(57, 165, 81, 189)(58, 166, 82, 190)(59, 167, 83, 191)(60, 168, 84, 192)(61, 169, 85, 193)(62, 170, 86, 194)(63, 171, 87, 195)(66, 174, 90, 198)(73, 181, 95, 203)(74, 182, 96, 204)(76, 184, 97, 205)(78, 186, 98, 206)(88, 196, 101, 209)(89, 197, 102, 210)(91, 199, 103, 211)(92, 200, 104, 212)(93, 201, 105, 213)(94, 202, 106, 214)(99, 207, 107, 215)(100, 208, 108, 216)
	L = (1, 110)(2, 113)(3, 115)(4, 109)(5, 119)(6, 121)(7, 123)(8, 111)(9, 127)(10, 112)(11, 118)(12, 131)(13, 133)(14, 114)(15, 130)(16, 138)(17, 140)(18, 116)(19, 132)(20, 117)(21, 136)(22, 126)(23, 128)(24, 120)(25, 129)(26, 148)(27, 150)(28, 122)(29, 153)(30, 155)(31, 124)(32, 154)(33, 125)(34, 158)(35, 161)(36, 163)(37, 165)(38, 167)(39, 169)(40, 171)(41, 134)(42, 170)(43, 135)(44, 174)(45, 141)(46, 137)(47, 142)(48, 180)(49, 175)(50, 139)(51, 184)(52, 186)(53, 166)(54, 143)(55, 168)(56, 144)(57, 162)(58, 145)(59, 164)(60, 146)(61, 151)(62, 147)(63, 152)(64, 160)(65, 191)(66, 149)(67, 199)(68, 200)(69, 201)(70, 196)(71, 193)(72, 202)(73, 156)(74, 157)(75, 192)(76, 190)(77, 159)(78, 198)(79, 194)(80, 197)(81, 176)(82, 177)(83, 208)(84, 181)(85, 182)(86, 207)(87, 188)(88, 172)(89, 173)(90, 178)(91, 179)(92, 187)(93, 185)(94, 183)(95, 209)(96, 210)(97, 211)(98, 212)(99, 189)(100, 195)(101, 215)(102, 205)(103, 216)(104, 203)(105, 204)(106, 206)(107, 214)(108, 213)
	local type(s) :: { ( 6^4 ) }
Outer automorphisms :: reflexible
Dual of E10.799
Transitivity :: ET+ VT+ AT
Graph:: simple bipartite
	v = 54 e = 108 f = 36
	degree seq :: [ 4^54 ]

E10.804 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 6})
Quotient :: dipole
Aut^+ = C2 x (((C3 x C3) : C3) : C2) (small group id <108, 25>)
Aut   = C2 x ((((C3 x C3) : C3) : C2) : C2) (small group id <216, 102>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, (R * Y3)^2, (R * Y1)^2, Y2^6, (R * Y2 * Y3^-1)^2, Y2^6, (Y2^-1 * Y1 * Y2^-2)^2, (Y2^-1 * R * Y2^-2)^2, (Y1 * Y2 * Y1 * Y2^-1)^3, (Y3 * Y2^-1)^6, (Y2^-1 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2^-1)^2 ]
Map::
	R = (1, 109, 2, 110)(3, 111, 7, 115)(4, 112, 9, 117)(5, 113, 11, 119)(6, 114, 13, 121)(8, 116, 17, 125)(10, 118, 21, 129)(12, 120, 24, 132)(14, 122, 28, 136)(15, 123, 29, 137)(16, 124, 31, 139)(18, 126, 25, 133)(19, 127, 35, 143)(20, 128, 36, 144)(22, 130, 37, 145)(23, 131, 39, 147)(26, 134, 43, 151)(27, 135, 44, 152)(30, 138, 47, 155)(32, 140, 50, 158)(33, 141, 51, 159)(34, 142, 52, 160)(38, 146, 59, 167)(40, 148, 62, 170)(41, 149, 63, 171)(42, 150, 64, 172)(45, 153, 68, 176)(46, 154, 70, 178)(48, 156, 60, 168)(49, 157, 74, 182)(53, 161, 79, 187)(54, 162, 66, 174)(55, 163, 80, 188)(56, 164, 57, 165)(58, 166, 82, 190)(61, 169, 86, 194)(65, 173, 91, 199)(67, 175, 92, 200)(69, 177, 93, 201)(71, 179, 90, 198)(72, 180, 84, 192)(73, 181, 96, 204)(75, 183, 98, 206)(76, 184, 88, 196)(77, 185, 94, 202)(78, 186, 83, 191)(81, 189, 99, 207)(85, 193, 102, 210)(87, 195, 104, 212)(89, 197, 100, 208)(95, 203, 103, 211)(97, 205, 101, 209)(105, 213, 108, 216)(106, 214, 107, 215)(217, 325, 219, 327, 224, 332, 234, 342, 226, 334, 220, 328)(218, 326, 221, 329, 228, 336, 241, 349, 230, 338, 222, 330)(223, 331, 231, 339, 246, 354, 237, 345, 248, 356, 232, 340)(225, 333, 235, 343, 250, 358, 233, 341, 249, 357, 236, 344)(227, 335, 238, 346, 254, 362, 244, 352, 256, 364, 239, 347)(229, 337, 242, 350, 258, 366, 240, 348, 257, 365, 243, 351)(245, 353, 261, 369, 285, 393, 266, 374, 287, 395, 262, 370)(247, 355, 264, 372, 289, 397, 263, 371, 288, 396, 265, 373)(251, 359, 269, 377, 292, 400, 267, 375, 291, 399, 270, 378)(252, 360, 271, 379, 294, 402, 268, 376, 293, 401, 272, 380)(253, 361, 273, 381, 297, 405, 278, 386, 299, 407, 274, 382)(255, 363, 276, 384, 301, 409, 275, 383, 300, 408, 277, 385)(259, 367, 281, 389, 304, 412, 279, 387, 303, 411, 282, 390)(260, 368, 283, 391, 306, 414, 280, 388, 305, 413, 284, 392)(286, 394, 310, 418, 321, 429, 309, 417, 296, 404, 311, 419)(290, 398, 313, 421, 295, 403, 312, 420, 322, 430, 314, 422)(298, 406, 316, 424, 323, 431, 315, 423, 308, 416, 317, 425)(302, 410, 319, 427, 307, 415, 318, 426, 324, 432, 320, 428)
	L = (1, 218)(2, 217)(3, 223)(4, 225)(5, 227)(6, 229)(7, 219)(8, 233)(9, 220)(10, 237)(11, 221)(12, 240)(13, 222)(14, 244)(15, 245)(16, 247)(17, 224)(18, 241)(19, 251)(20, 252)(21, 226)(22, 253)(23, 255)(24, 228)(25, 234)(26, 259)(27, 260)(28, 230)(29, 231)(30, 263)(31, 232)(32, 266)(33, 267)(34, 268)(35, 235)(36, 236)(37, 238)(38, 275)(39, 239)(40, 278)(41, 279)(42, 280)(43, 242)(44, 243)(45, 284)(46, 286)(47, 246)(48, 276)(49, 290)(50, 248)(51, 249)(52, 250)(53, 295)(54, 282)(55, 296)(56, 273)(57, 272)(58, 298)(59, 254)(60, 264)(61, 302)(62, 256)(63, 257)(64, 258)(65, 307)(66, 270)(67, 308)(68, 261)(69, 309)(70, 262)(71, 306)(72, 300)(73, 312)(74, 265)(75, 314)(76, 304)(77, 310)(78, 299)(79, 269)(80, 271)(81, 315)(82, 274)(83, 294)(84, 288)(85, 318)(86, 277)(87, 320)(88, 292)(89, 316)(90, 287)(91, 281)(92, 283)(93, 285)(94, 293)(95, 319)(96, 289)(97, 317)(98, 291)(99, 297)(100, 305)(101, 313)(102, 301)(103, 311)(104, 303)(105, 324)(106, 323)(107, 322)(108, 321)(109, 325)(110, 326)(111, 327)(112, 328)(113, 329)(114, 330)(115, 331)(116, 332)(117, 333)(118, 334)(119, 335)(120, 336)(121, 337)(122, 338)(123, 339)(124, 340)(125, 341)(126, 342)(127, 343)(128, 344)(129, 345)(130, 346)(131, 347)(132, 348)(133, 349)(134, 350)(135, 351)(136, 352)(137, 353)(138, 354)(139, 355)(140, 356)(141, 357)(142, 358)(143, 359)(144, 360)(145, 361)(146, 362)(147, 363)(148, 364)(149, 365)(150, 366)(151, 367)(152, 368)(153, 369)(154, 370)(155, 371)(156, 372)(157, 373)(158, 374)(159, 375)(160, 376)(161, 377)(162, 378)(163, 379)(164, 380)(165, 381)(166, 382)(167, 383)(168, 384)(169, 385)(170, 386)(171, 387)(172, 388)(173, 389)(174, 390)(175, 391)(176, 392)(177, 393)(178, 394)(179, 395)(180, 396)(181, 397)(182, 398)(183, 399)(184, 400)(185, 401)(186, 402)(187, 403)(188, 404)(189, 405)(190, 406)(191, 407)(192, 408)(193, 409)(194, 410)(195, 411)(196, 412)(197, 413)(198, 414)(199, 415)(200, 416)(201, 417)(202, 418)(203, 419)(204, 420)(205, 421)(206, 422)(207, 423)(208, 424)(209, 425)(210, 426)(211, 427)(212, 428)(213, 429)(214, 430)(215, 431)(216, 432)
	local type(s) :: { ( 2, 12, 2, 12 ), ( 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12 ) }
Outer automorphisms :: reflexible
Dual of E10.809
Graph:: bipartite
	v = 72 e = 216 f = 126
	degree seq :: [ 4^54, 12^18 ]

E10.805 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 6})
Quotient :: dipole
Aut^+ = (((C3 x C3) : C3) : C2) : C2 (small group id <108, 17>)
Aut   = C2 x ((((C3 x C3) : C3) : C2) : C2) (small group id <216, 102>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, (R * Y3)^2, (R * Y1)^2, (Y2^-1 * Y1 * R)^2, (R * Y2 * Y3^-1)^2, Y2^6, (Y1 * Y2^-1 * R)^2, Y2^-1 * Y1 * Y2 * R * Y2^2 * Y1 * Y2^-1 * R * Y2^-1, Y2 * Y1 * Y2^2 * R * Y2^-3 * R * Y2^2 * Y1, (Y2 * Y1 * Y2 * Y1 * Y2^-1 * Y1)^2, (Y3 * Y2^-1)^6, Y2^2 * Y1 * Y2^2 * Y1 * Y2^-2 * Y1 * Y2^-2 * Y1 ]
Map::
	R = (1, 109, 2, 110)(3, 111, 7, 115)(4, 112, 9, 117)(5, 113, 11, 119)(6, 114, 13, 121)(8, 116, 17, 125)(10, 118, 21, 129)(12, 120, 24, 132)(14, 122, 28, 136)(15, 123, 29, 137)(16, 124, 31, 139)(18, 126, 35, 143)(19, 127, 36, 144)(20, 128, 38, 146)(22, 130, 42, 150)(23, 131, 44, 152)(25, 133, 48, 156)(26, 134, 49, 157)(27, 135, 51, 159)(30, 138, 57, 165)(32, 140, 47, 155)(33, 141, 61, 169)(34, 142, 45, 153)(37, 145, 53, 161)(39, 147, 70, 178)(40, 148, 50, 158)(41, 149, 72, 180)(43, 151, 76, 184)(46, 154, 80, 188)(52, 160, 89, 197)(54, 162, 91, 199)(55, 163, 88, 196)(56, 164, 79, 187)(58, 166, 95, 203)(59, 167, 78, 186)(60, 168, 75, 183)(62, 170, 81, 189)(63, 171, 90, 198)(64, 172, 98, 206)(65, 173, 94, 202)(66, 174, 87, 195)(67, 175, 93, 201)(68, 176, 85, 193)(69, 177, 74, 182)(71, 179, 82, 190)(73, 181, 92, 200)(77, 185, 101, 209)(83, 191, 104, 212)(84, 192, 100, 208)(86, 194, 99, 207)(96, 204, 103, 211)(97, 205, 102, 210)(105, 213, 107, 215)(106, 214, 108, 216)(217, 325, 219, 327, 224, 332, 234, 342, 226, 334, 220, 328)(218, 326, 221, 329, 228, 336, 241, 349, 230, 338, 222, 330)(223, 331, 231, 339, 246, 354, 274, 382, 248, 356, 232, 340)(225, 333, 235, 343, 253, 361, 283, 391, 255, 363, 236, 344)(227, 335, 238, 346, 259, 367, 293, 401, 261, 369, 239, 347)(229, 337, 242, 350, 266, 374, 302, 410, 268, 376, 243, 351)(233, 341, 249, 357, 278, 386, 305, 413, 279, 387, 250, 358)(237, 345, 256, 364, 287, 395, 292, 400, 289, 397, 257, 365)(240, 348, 262, 370, 297, 405, 286, 394, 298, 406, 263, 371)(244, 352, 269, 377, 306, 414, 273, 381, 308, 416, 270, 378)(245, 353, 271, 379, 309, 417, 321, 429, 310, 418, 272, 380)(247, 355, 275, 383, 252, 360, 282, 390, 312, 420, 276, 384)(251, 359, 280, 388, 307, 415, 319, 427, 296, 404, 281, 389)(254, 362, 284, 392, 314, 422, 322, 430, 311, 419, 285, 393)(258, 366, 290, 398, 315, 423, 323, 431, 316, 424, 291, 399)(260, 368, 294, 402, 265, 373, 301, 409, 318, 426, 295, 403)(264, 372, 299, 407, 288, 396, 313, 421, 277, 385, 300, 408)(267, 375, 303, 411, 320, 428, 324, 432, 317, 425, 304, 412)
	L = (1, 218)(2, 217)(3, 223)(4, 225)(5, 227)(6, 229)(7, 219)(8, 233)(9, 220)(10, 237)(11, 221)(12, 240)(13, 222)(14, 244)(15, 245)(16, 247)(17, 224)(18, 251)(19, 252)(20, 254)(21, 226)(22, 258)(23, 260)(24, 228)(25, 264)(26, 265)(27, 267)(28, 230)(29, 231)(30, 273)(31, 232)(32, 263)(33, 277)(34, 261)(35, 234)(36, 235)(37, 269)(38, 236)(39, 286)(40, 266)(41, 288)(42, 238)(43, 292)(44, 239)(45, 250)(46, 296)(47, 248)(48, 241)(49, 242)(50, 256)(51, 243)(52, 305)(53, 253)(54, 307)(55, 304)(56, 295)(57, 246)(58, 311)(59, 294)(60, 291)(61, 249)(62, 297)(63, 306)(64, 314)(65, 310)(66, 303)(67, 309)(68, 301)(69, 290)(70, 255)(71, 298)(72, 257)(73, 308)(74, 285)(75, 276)(76, 259)(77, 317)(78, 275)(79, 272)(80, 262)(81, 278)(82, 287)(83, 320)(84, 316)(85, 284)(86, 315)(87, 282)(88, 271)(89, 268)(90, 279)(91, 270)(92, 289)(93, 283)(94, 281)(95, 274)(96, 319)(97, 318)(98, 280)(99, 302)(100, 300)(101, 293)(102, 313)(103, 312)(104, 299)(105, 323)(106, 324)(107, 321)(108, 322)(109, 325)(110, 326)(111, 327)(112, 328)(113, 329)(114, 330)(115, 331)(116, 332)(117, 333)(118, 334)(119, 335)(120, 336)(121, 337)(122, 338)(123, 339)(124, 340)(125, 341)(126, 342)(127, 343)(128, 344)(129, 345)(130, 346)(131, 347)(132, 348)(133, 349)(134, 350)(135, 351)(136, 352)(137, 353)(138, 354)(139, 355)(140, 356)(141, 357)(142, 358)(143, 359)(144, 360)(145, 361)(146, 362)(147, 363)(148, 364)(149, 365)(150, 366)(151, 367)(152, 368)(153, 369)(154, 370)(155, 371)(156, 372)(157, 373)(158, 374)(159, 375)(160, 376)(161, 377)(162, 378)(163, 379)(164, 380)(165, 381)(166, 382)(167, 383)(168, 384)(169, 385)(170, 386)(171, 387)(172, 388)(173, 389)(174, 390)(175, 391)(176, 392)(177, 393)(178, 394)(179, 395)(180, 396)(181, 397)(182, 398)(183, 399)(184, 400)(185, 401)(186, 402)(187, 403)(188, 404)(189, 405)(190, 406)(191, 407)(192, 408)(193, 409)(194, 410)(195, 411)(196, 412)(197, 413)(198, 414)(199, 415)(200, 416)(201, 417)(202, 418)(203, 419)(204, 420)(205, 421)(206, 422)(207, 423)(208, 424)(209, 425)(210, 426)(211, 427)(212, 428)(213, 429)(214, 430)(215, 431)(216, 432)
	local type(s) :: { ( 2, 12, 2, 12 ), ( 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12 ) }
Outer automorphisms :: reflexible
Dual of E10.811
Graph:: bipartite
	v = 72 e = 216 f = 126
	degree seq :: [ 4^54, 12^18 ]

E10.806 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 6})
Quotient :: dipole
Aut^+ = C2 x (((C3 x C3) : C3) : C2) (small group id <108, 25>)
Aut   = C2 x ((((C3 x C3) : C3) : C2) : C2) (small group id <216, 102>)
|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^-3 * Y1)^2, (Y1 * Y2^-2 * Y1 * Y2^-1)^2, Y2^2 * Y1 * Y2^3 * Y1 * Y2^2 * Y1 * Y2^-1 * Y1, (Y3 * Y2^-1)^6, (Y2 * Y1 * Y2^-1 * Y1)^3 ]
Map::
	R = (1, 109, 2, 110)(3, 111, 7, 115)(4, 112, 9, 117)(5, 113, 11, 119)(6, 114, 13, 121)(8, 116, 17, 125)(10, 118, 21, 129)(12, 120, 24, 132)(14, 122, 28, 136)(15, 123, 29, 137)(16, 124, 31, 139)(18, 126, 35, 143)(19, 127, 36, 144)(20, 128, 38, 146)(22, 130, 42, 150)(23, 131, 44, 152)(25, 133, 48, 156)(26, 134, 49, 157)(27, 135, 51, 159)(30, 138, 54, 162)(32, 140, 60, 168)(33, 141, 52, 160)(34, 142, 62, 170)(37, 145, 68, 176)(39, 147, 46, 154)(40, 148, 71, 179)(41, 149, 43, 151)(45, 153, 79, 187)(47, 155, 81, 189)(50, 158, 87, 195)(53, 161, 90, 198)(55, 163, 74, 182)(56, 164, 85, 193)(57, 165, 94, 202)(58, 166, 77, 185)(59, 167, 89, 197)(61, 169, 80, 188)(63, 171, 91, 199)(64, 172, 96, 204)(65, 173, 98, 206)(66, 174, 75, 183)(67, 175, 86, 194)(69, 177, 95, 203)(70, 178, 78, 186)(72, 180, 82, 190)(73, 181, 92, 200)(76, 184, 100, 208)(83, 191, 102, 210)(84, 192, 104, 212)(88, 196, 101, 209)(93, 201, 103, 211)(97, 205, 99, 207)(105, 213, 108, 216)(106, 214, 107, 215)(217, 325, 219, 327, 224, 332, 234, 342, 226, 334, 220, 328)(218, 326, 221, 329, 228, 336, 241, 349, 230, 338, 222, 330)(223, 331, 231, 339, 246, 354, 273, 381, 248, 356, 232, 340)(225, 333, 235, 343, 253, 361, 285, 393, 255, 363, 236, 344)(227, 335, 238, 346, 259, 367, 292, 400, 261, 369, 239, 347)(229, 337, 242, 350, 266, 374, 304, 412, 268, 376, 243, 351)(233, 341, 249, 357, 277, 385, 295, 403, 279, 387, 250, 358)(237, 345, 256, 364, 288, 396, 303, 411, 289, 397, 257, 365)(240, 348, 262, 370, 296, 404, 276, 384, 298, 406, 263, 371)(244, 352, 269, 377, 307, 415, 284, 392, 308, 416, 270, 378)(245, 353, 271, 379, 254, 362, 286, 394, 309, 417, 272, 380)(247, 355, 274, 382, 311, 419, 322, 430, 312, 420, 275, 383)(251, 359, 280, 388, 306, 414, 319, 427, 297, 405, 281, 389)(252, 360, 282, 390, 314, 422, 321, 429, 310, 418, 283, 391)(258, 366, 290, 398, 267, 375, 305, 413, 315, 423, 291, 399)(260, 368, 293, 401, 317, 425, 324, 432, 318, 426, 294, 402)(264, 372, 299, 407, 287, 395, 313, 421, 278, 386, 300, 408)(265, 373, 301, 409, 320, 428, 323, 431, 316, 424, 302, 410)
	L = (1, 218)(2, 217)(3, 223)(4, 225)(5, 227)(6, 229)(7, 219)(8, 233)(9, 220)(10, 237)(11, 221)(12, 240)(13, 222)(14, 244)(15, 245)(16, 247)(17, 224)(18, 251)(19, 252)(20, 254)(21, 226)(22, 258)(23, 260)(24, 228)(25, 264)(26, 265)(27, 267)(28, 230)(29, 231)(30, 270)(31, 232)(32, 276)(33, 268)(34, 278)(35, 234)(36, 235)(37, 284)(38, 236)(39, 262)(40, 287)(41, 259)(42, 238)(43, 257)(44, 239)(45, 295)(46, 255)(47, 297)(48, 241)(49, 242)(50, 303)(51, 243)(52, 249)(53, 306)(54, 246)(55, 290)(56, 301)(57, 310)(58, 293)(59, 305)(60, 248)(61, 296)(62, 250)(63, 307)(64, 312)(65, 314)(66, 291)(67, 302)(68, 253)(69, 311)(70, 294)(71, 256)(72, 298)(73, 308)(74, 271)(75, 282)(76, 316)(77, 274)(78, 286)(79, 261)(80, 277)(81, 263)(82, 288)(83, 318)(84, 320)(85, 272)(86, 283)(87, 266)(88, 317)(89, 275)(90, 269)(91, 279)(92, 289)(93, 319)(94, 273)(95, 285)(96, 280)(97, 315)(98, 281)(99, 313)(100, 292)(101, 304)(102, 299)(103, 309)(104, 300)(105, 324)(106, 323)(107, 322)(108, 321)(109, 325)(110, 326)(111, 327)(112, 328)(113, 329)(114, 330)(115, 331)(116, 332)(117, 333)(118, 334)(119, 335)(120, 336)(121, 337)(122, 338)(123, 339)(124, 340)(125, 341)(126, 342)(127, 343)(128, 344)(129, 345)(130, 346)(131, 347)(132, 348)(133, 349)(134, 350)(135, 351)(136, 352)(137, 353)(138, 354)(139, 355)(140, 356)(141, 357)(142, 358)(143, 359)(144, 360)(145, 361)(146, 362)(147, 363)(148, 364)(149, 365)(150, 366)(151, 367)(152, 368)(153, 369)(154, 370)(155, 371)(156, 372)(157, 373)(158, 374)(159, 375)(160, 376)(161, 377)(162, 378)(163, 379)(164, 380)(165, 381)(166, 382)(167, 383)(168, 384)(169, 385)(170, 386)(171, 387)(172, 388)(173, 389)(174, 390)(175, 391)(176, 392)(177, 393)(178, 394)(179, 395)(180, 396)(181, 397)(182, 398)(183, 399)(184, 400)(185, 401)(186, 402)(187, 403)(188, 404)(189, 405)(190, 406)(191, 407)(192, 408)(193, 409)(194, 410)(195, 411)(196, 412)(197, 413)(198, 414)(199, 415)(200, 416)(201, 417)(202, 418)(203, 419)(204, 420)(205, 421)(206, 422)(207, 423)(208, 424)(209, 425)(210, 426)(211, 427)(212, 428)(213, 429)(214, 430)(215, 431)(216, 432)
	local type(s) :: { ( 2, 12, 2, 12 ), ( 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12 ) }
Outer automorphisms :: reflexible
Dual of E10.810
Graph:: bipartite
	v = 72 e = 216 f = 126
	degree seq :: [ 4^54, 12^18 ]

E10.807 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 6})
Quotient :: dipole
Aut^+ = C2 x (((C3 x C3) : C3) : C2) (small group id <108, 25>)
Aut   = C2 x ((((C3 x C3) : C3) : C2) : C2) (small group id <216, 102>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, (R * Y3)^2, (R * Y1)^2, (Y1^-1 * Y2^-1)^2, (Y3^-1 * Y1^-1)^2, (Y1^-1 * Y2^2)^2, (Y1 * Y2^-2)^2, Y2^6, Y1^6, Y2 * Y1^-2 * Y2 * Y1^-1 * Y2 * Y1 * Y2^-1 * Y1^-2 ]
Map::
	R = (1, 109, 2, 110, 6, 114, 16, 124, 13, 121, 4, 112)(3, 111, 9, 117, 23, 131, 47, 155, 28, 136, 11, 119)(5, 113, 14, 122, 33, 141, 44, 152, 20, 128, 7, 115)(8, 116, 21, 129, 45, 153, 71, 179, 38, 146, 17, 125)(10, 118, 25, 133, 52, 160, 80, 188, 46, 154, 22, 130)(12, 120, 29, 137, 57, 165, 90, 198, 60, 168, 31, 139)(15, 123, 30, 138, 59, 167, 92, 200, 63, 171, 34, 142)(18, 126, 39, 147, 72, 180, 96, 204, 65, 173, 35, 143)(19, 127, 41, 149, 74, 182, 102, 210, 73, 181, 40, 148)(24, 132, 50, 158, 84, 192, 101, 209, 79, 187, 48, 156)(26, 134, 42, 150, 69, 177, 94, 202, 85, 193, 51, 159)(27, 135, 54, 162, 70, 178, 100, 208, 89, 197, 55, 163)(32, 140, 36, 144, 66, 174, 97, 205, 87, 195, 61, 169)(37, 145, 68, 176, 56, 164, 82, 190, 98, 206, 67, 175)(43, 151, 76, 184, 95, 203, 81, 189, 49, 157, 77, 185)(53, 161, 88, 196, 99, 207, 108, 216, 106, 214, 86, 194)(58, 166, 64, 172, 93, 201, 78, 186, 62, 170, 91, 199)(75, 183, 104, 212, 107, 215, 105, 213, 83, 191, 103, 211)(217, 325, 219, 327, 226, 334, 242, 350, 231, 339, 221, 329)(218, 326, 223, 331, 235, 343, 258, 366, 238, 346, 224, 332)(220, 328, 228, 336, 246, 354, 267, 375, 240, 348, 225, 333)(222, 330, 233, 341, 253, 361, 285, 393, 256, 364, 234, 342)(227, 335, 243, 351, 230, 338, 250, 358, 269, 377, 241, 349)(229, 337, 248, 356, 266, 374, 301, 409, 274, 382, 245, 353)(232, 340, 251, 359, 280, 388, 310, 418, 283, 391, 252, 360)(236, 344, 259, 367, 237, 345, 262, 370, 291, 399, 257, 365)(239, 347, 264, 372, 299, 407, 275, 383, 247, 355, 265, 373)(244, 352, 272, 380, 304, 412, 279, 387, 288, 396, 270, 378)(249, 357, 271, 379, 303, 411, 268, 376, 302, 410, 278, 386)(254, 362, 286, 394, 255, 363, 289, 397, 315, 423, 284, 392)(260, 368, 294, 402, 320, 428, 296, 404, 313, 421, 292, 400)(261, 369, 293, 401, 276, 384, 290, 398, 319, 427, 295, 403)(263, 371, 297, 405, 312, 420, 308, 416, 321, 429, 298, 406)(273, 381, 307, 415, 322, 430, 300, 408, 277, 385, 305, 413)(281, 389, 311, 419, 282, 390, 314, 422, 323, 431, 309, 417)(287, 395, 317, 425, 324, 432, 318, 426, 306, 414, 316, 424)
	L = (1, 219)(2, 223)(3, 226)(4, 228)(5, 217)(6, 233)(7, 235)(8, 218)(9, 220)(10, 242)(11, 243)(12, 246)(13, 248)(14, 250)(15, 221)(16, 251)(17, 253)(18, 222)(19, 258)(20, 259)(21, 262)(22, 224)(23, 264)(24, 225)(25, 227)(26, 231)(27, 230)(28, 272)(29, 229)(30, 267)(31, 265)(32, 266)(33, 271)(34, 269)(35, 280)(36, 232)(37, 285)(38, 286)(39, 289)(40, 234)(41, 236)(42, 238)(43, 237)(44, 294)(45, 293)(46, 291)(47, 297)(48, 299)(49, 239)(50, 301)(51, 240)(52, 302)(53, 241)(54, 244)(55, 303)(56, 304)(57, 307)(58, 245)(59, 247)(60, 290)(61, 305)(62, 249)(63, 288)(64, 310)(65, 311)(66, 314)(67, 252)(68, 254)(69, 256)(70, 255)(71, 317)(72, 270)(73, 315)(74, 319)(75, 257)(76, 260)(77, 276)(78, 320)(79, 261)(80, 313)(81, 312)(82, 263)(83, 275)(84, 277)(85, 274)(86, 278)(87, 268)(88, 279)(89, 273)(90, 316)(91, 322)(92, 321)(93, 281)(94, 283)(95, 282)(96, 308)(97, 292)(98, 323)(99, 284)(100, 287)(101, 324)(102, 306)(103, 295)(104, 296)(105, 298)(106, 300)(107, 309)(108, 318)(109, 325)(110, 326)(111, 327)(112, 328)(113, 329)(114, 330)(115, 331)(116, 332)(117, 333)(118, 334)(119, 335)(120, 336)(121, 337)(122, 338)(123, 339)(124, 340)(125, 341)(126, 342)(127, 343)(128, 344)(129, 345)(130, 346)(131, 347)(132, 348)(133, 349)(134, 350)(135, 351)(136, 352)(137, 353)(138, 354)(139, 355)(140, 356)(141, 357)(142, 358)(143, 359)(144, 360)(145, 361)(146, 362)(147, 363)(148, 364)(149, 365)(150, 366)(151, 367)(152, 368)(153, 369)(154, 370)(155, 371)(156, 372)(157, 373)(158, 374)(159, 375)(160, 376)(161, 377)(162, 378)(163, 379)(164, 380)(165, 381)(166, 382)(167, 383)(168, 384)(169, 385)(170, 386)(171, 387)(172, 388)(173, 389)(174, 390)(175, 391)(176, 392)(177, 393)(178, 394)(179, 395)(180, 396)(181, 397)(182, 398)(183, 399)(184, 400)(185, 401)(186, 402)(187, 403)(188, 404)(189, 405)(190, 406)(191, 407)(192, 408)(193, 409)(194, 410)(195, 411)(196, 412)(197, 413)(198, 414)(199, 415)(200, 416)(201, 417)(202, 418)(203, 419)(204, 420)(205, 421)(206, 422)(207, 423)(208, 424)(209, 425)(210, 426)(211, 427)(212, 428)(213, 429)(214, 430)(215, 431)(216, 432)
	local type(s) :: { ( 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4 ) }
Outer automorphisms :: reflexible
Dual of E10.808
Graph:: bipartite
	v = 36 e = 216 f = 162
	degree seq :: [ 12^36 ]

E10.808 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 6})
Quotient :: dipole
Aut^+ = C2 x (((C3 x C3) : C3) : C2) (small group id <108, 25>)
Aut   = C2 x ((((C3 x C3) : C3) : C2) : C2) (small group id <216, 102>)
|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, (Y2 * Y3 * Y2 * Y3^-1)^3, (Y3^-1 * Y1^-1)^6, Y3 * Y2 * Y3^2 * Y2 * Y3 * Y2 * Y3^-1 * Y2 * Y3^-2 * Y2 * Y3^-1 * Y2 ]
Map:: polytopal
	R = (1, 109)(2, 110)(3, 111)(4, 112)(5, 113)(6, 114)(7, 115)(8, 116)(9, 117)(10, 118)(11, 119)(12, 120)(13, 121)(14, 122)(15, 123)(16, 124)(17, 125)(18, 126)(19, 127)(20, 128)(21, 129)(22, 130)(23, 131)(24, 132)(25, 133)(26, 134)(27, 135)(28, 136)(29, 137)(30, 138)(31, 139)(32, 140)(33, 141)(34, 142)(35, 143)(36, 144)(37, 145)(38, 146)(39, 147)(40, 148)(41, 149)(42, 150)(43, 151)(44, 152)(45, 153)(46, 154)(47, 155)(48, 156)(49, 157)(50, 158)(51, 159)(52, 160)(53, 161)(54, 162)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)(217, 325, 218, 326)(219, 327, 223, 331)(220, 328, 225, 333)(221, 329, 227, 335)(222, 330, 229, 337)(224, 332, 233, 341)(226, 334, 237, 345)(228, 336, 240, 348)(230, 338, 244, 352)(231, 339, 245, 353)(232, 340, 247, 355)(234, 342, 241, 349)(235, 343, 251, 359)(236, 344, 252, 360)(238, 346, 253, 361)(239, 347, 255, 363)(242, 350, 259, 367)(243, 351, 260, 368)(246, 354, 263, 371)(248, 356, 266, 374)(249, 357, 267, 375)(250, 358, 268, 376)(254, 362, 275, 383)(256, 364, 278, 386)(257, 365, 279, 387)(258, 366, 280, 388)(261, 369, 284, 392)(262, 370, 286, 394)(264, 372, 276, 384)(265, 373, 290, 398)(269, 377, 295, 403)(270, 378, 282, 390)(271, 379, 296, 404)(272, 380, 273, 381)(274, 382, 298, 406)(277, 385, 302, 410)(281, 389, 307, 415)(283, 391, 308, 416)(285, 393, 309, 417)(287, 395, 306, 414)(288, 396, 300, 408)(289, 397, 312, 420)(291, 399, 314, 422)(292, 400, 304, 412)(293, 401, 310, 418)(294, 402, 299, 407)(297, 405, 315, 423)(301, 409, 318, 426)(303, 411, 320, 428)(305, 413, 316, 424)(311, 419, 319, 427)(313, 421, 317, 425)(321, 429, 324, 432)(322, 430, 323, 431)
	L = (1, 219)(2, 221)(3, 224)(4, 217)(5, 228)(6, 218)(7, 231)(8, 234)(9, 235)(10, 220)(11, 238)(12, 241)(13, 242)(14, 222)(15, 246)(16, 223)(17, 249)(18, 226)(19, 250)(20, 225)(21, 248)(22, 254)(23, 227)(24, 257)(25, 230)(26, 258)(27, 229)(28, 256)(29, 261)(30, 237)(31, 264)(32, 232)(33, 236)(34, 233)(35, 269)(36, 271)(37, 273)(38, 244)(39, 276)(40, 239)(41, 243)(42, 240)(43, 281)(44, 283)(45, 285)(46, 245)(47, 288)(48, 289)(49, 247)(50, 287)(51, 291)(52, 293)(53, 292)(54, 251)(55, 294)(56, 252)(57, 297)(58, 253)(59, 300)(60, 301)(61, 255)(62, 299)(63, 303)(64, 305)(65, 304)(66, 259)(67, 306)(68, 260)(69, 266)(70, 310)(71, 262)(72, 265)(73, 263)(74, 313)(75, 270)(76, 267)(77, 272)(78, 268)(79, 312)(80, 311)(81, 278)(82, 316)(83, 274)(84, 277)(85, 275)(86, 319)(87, 282)(88, 279)(89, 284)(90, 280)(91, 318)(92, 317)(93, 296)(94, 321)(95, 286)(96, 322)(97, 295)(98, 290)(99, 308)(100, 323)(101, 298)(102, 324)(103, 307)(104, 302)(105, 309)(106, 314)(107, 315)(108, 320)(109, 325)(110, 326)(111, 327)(112, 328)(113, 329)(114, 330)(115, 331)(116, 332)(117, 333)(118, 334)(119, 335)(120, 336)(121, 337)(122, 338)(123, 339)(124, 340)(125, 341)(126, 342)(127, 343)(128, 344)(129, 345)(130, 346)(131, 347)(132, 348)(133, 349)(134, 350)(135, 351)(136, 352)(137, 353)(138, 354)(139, 355)(140, 356)(141, 357)(142, 358)(143, 359)(144, 360)(145, 361)(146, 362)(147, 363)(148, 364)(149, 365)(150, 366)(151, 367)(152, 368)(153, 369)(154, 370)(155, 371)(156, 372)(157, 373)(158, 374)(159, 375)(160, 376)(161, 377)(162, 378)(163, 379)(164, 380)(165, 381)(166, 382)(167, 383)(168, 384)(169, 385)(170, 386)(171, 387)(172, 388)(173, 389)(174, 390)(175, 391)(176, 392)(177, 393)(178, 394)(179, 395)(180, 396)(181, 397)(182, 398)(183, 399)(184, 400)(185, 401)(186, 402)(187, 403)(188, 404)(189, 405)(190, 406)(191, 407)(192, 408)(193, 409)(194, 410)(195, 411)(196, 412)(197, 413)(198, 414)(199, 415)(200, 416)(201, 417)(202, 418)(203, 419)(204, 420)(205, 421)(206, 422)(207, 423)(208, 424)(209, 425)(210, 426)(211, 427)(212, 428)(213, 429)(214, 430)(215, 431)(216, 432)
	local type(s) :: { ( 12, 12 ), ( 12^4 ) }
Outer automorphisms :: reflexible
Dual of E10.807
Graph:: simple bipartite
	v = 162 e = 216 f = 36
	degree seq :: [ 2^108, 4^54 ]

E10.809 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 6})
Quotient :: dipole
Aut^+ = C2 x (((C3 x C3) : C3) : C2) (small group id <108, 25>)
Aut   = C2 x ((((C3 x C3) : C3) : C2) : C2) (small group id <216, 102>)
|r| :: 2
Presentation :: [ Y2, R^2, Y3^2, R * Y2 * R * Y2^-1, (R * Y1)^2, (R * Y3)^2, (Y3 * Y2^-1)^2, Y1^6, (Y3 * Y1^-1 * Y3 * Y1^-2)^2, (Y3 * Y1)^6, Y1^-1 * Y3 * Y1^-2 * Y3 * Y1 * Y3 * Y1^-2 * Y3 * Y1^-2, (Y3 * Y1 * Y3 * Y1^-1)^3 ]
Map:: polytopal
	R = (1, 109, 2, 110, 5, 113, 11, 119, 10, 118, 4, 112)(3, 111, 7, 115, 15, 123, 29, 137, 18, 126, 8, 116)(6, 114, 13, 121, 25, 133, 48, 156, 28, 136, 14, 122)(9, 117, 19, 127, 36, 144, 66, 174, 39, 147, 20, 128)(12, 120, 23, 131, 44, 152, 78, 186, 47, 155, 24, 132)(16, 124, 31, 139, 58, 166, 94, 202, 61, 169, 32, 140)(17, 125, 33, 141, 62, 170, 80, 188, 45, 153, 34, 142)(21, 129, 40, 148, 71, 179, 97, 205, 73, 181, 41, 149)(22, 130, 42, 150, 74, 182, 99, 207, 77, 185, 43, 151)(26, 134, 50, 158, 38, 146, 70, 178, 88, 196, 51, 159)(27, 135, 52, 160, 89, 197, 100, 208, 75, 183, 53, 161)(30, 138, 56, 164, 79, 187, 54, 162, 92, 200, 57, 165)(35, 143, 65, 173, 83, 191, 67, 175, 85, 193, 49, 157)(37, 145, 68, 176, 76, 184, 101, 209, 84, 192, 69, 177)(46, 154, 81, 189, 55, 163, 93, 201, 72, 180, 82, 190)(59, 167, 86, 194, 64, 172, 91, 199, 104, 212, 95, 203)(60, 168, 90, 198, 102, 210, 108, 216, 105, 213, 96, 204)(63, 171, 87, 195, 103, 211, 107, 215, 106, 214, 98, 206)(217, 325)(218, 326)(219, 327)(220, 328)(221, 329)(222, 330)(223, 331)(224, 332)(225, 333)(226, 334)(227, 335)(228, 336)(229, 337)(230, 338)(231, 339)(232, 340)(233, 341)(234, 342)(235, 343)(236, 344)(237, 345)(238, 346)(239, 347)(240, 348)(241, 349)(242, 350)(243, 351)(244, 352)(245, 353)(246, 354)(247, 355)(248, 356)(249, 357)(250, 358)(251, 359)(252, 360)(253, 361)(254, 362)(255, 363)(256, 364)(257, 365)(258, 366)(259, 367)(260, 368)(261, 369)(262, 370)(263, 371)(264, 372)(265, 373)(266, 374)(267, 375)(268, 376)(269, 377)(270, 378)(271, 379)(272, 380)(273, 381)(274, 382)(275, 383)(276, 384)(277, 385)(278, 386)(279, 387)(280, 388)(281, 389)(282, 390)(283, 391)(284, 392)(285, 393)(286, 394)(287, 395)(288, 396)(289, 397)(290, 398)(291, 399)(292, 400)(293, 401)(294, 402)(295, 403)(296, 404)(297, 405)(298, 406)(299, 407)(300, 408)(301, 409)(302, 410)(303, 411)(304, 412)(305, 413)(306, 414)(307, 415)(308, 416)(309, 417)(310, 418)(311, 419)(312, 420)(313, 421)(314, 422)(315, 423)(316, 424)(317, 425)(318, 426)(319, 427)(320, 428)(321, 429)(322, 430)(323, 431)(324, 432)
	L = (1, 219)(2, 222)(3, 217)(4, 225)(5, 228)(6, 218)(7, 232)(8, 233)(9, 220)(10, 237)(11, 238)(12, 221)(13, 242)(14, 243)(15, 246)(16, 223)(17, 224)(18, 251)(19, 253)(20, 254)(21, 226)(22, 227)(23, 261)(24, 262)(25, 265)(26, 229)(27, 230)(28, 270)(29, 271)(30, 231)(31, 275)(32, 276)(33, 279)(34, 280)(35, 234)(36, 283)(37, 235)(38, 236)(39, 272)(40, 288)(41, 274)(42, 291)(43, 292)(44, 295)(45, 239)(46, 240)(47, 299)(48, 300)(49, 241)(50, 302)(51, 303)(52, 306)(53, 307)(54, 244)(55, 245)(56, 255)(57, 293)(58, 257)(59, 247)(60, 248)(61, 294)(62, 313)(63, 249)(64, 250)(65, 290)(66, 305)(67, 252)(68, 311)(69, 314)(70, 312)(71, 308)(72, 256)(73, 301)(74, 281)(75, 258)(76, 259)(77, 273)(78, 277)(79, 260)(80, 318)(81, 319)(82, 320)(83, 263)(84, 264)(85, 289)(86, 266)(87, 267)(88, 315)(89, 282)(90, 268)(91, 269)(92, 287)(93, 321)(94, 322)(95, 284)(96, 286)(97, 278)(98, 285)(99, 304)(100, 323)(101, 324)(102, 296)(103, 297)(104, 298)(105, 309)(106, 310)(107, 316)(108, 317)(109, 325)(110, 326)(111, 327)(112, 328)(113, 329)(114, 330)(115, 331)(116, 332)(117, 333)(118, 334)(119, 335)(120, 336)(121, 337)(122, 338)(123, 339)(124, 340)(125, 341)(126, 342)(127, 343)(128, 344)(129, 345)(130, 346)(131, 347)(132, 348)(133, 349)(134, 350)(135, 351)(136, 352)(137, 353)(138, 354)(139, 355)(140, 356)(141, 357)(142, 358)(143, 359)(144, 360)(145, 361)(146, 362)(147, 363)(148, 364)(149, 365)(150, 366)(151, 367)(152, 368)(153, 369)(154, 370)(155, 371)(156, 372)(157, 373)(158, 374)(159, 375)(160, 376)(161, 377)(162, 378)(163, 379)(164, 380)(165, 381)(166, 382)(167, 383)(168, 384)(169, 385)(170, 386)(171, 387)(172, 388)(173, 389)(174, 390)(175, 391)(176, 392)(177, 393)(178, 394)(179, 395)(180, 396)(181, 397)(182, 398)(183, 399)(184, 400)(185, 401)(186, 402)(187, 403)(188, 404)(189, 405)(190, 406)(191, 407)(192, 408)(193, 409)(194, 410)(195, 411)(196, 412)(197, 413)(198, 414)(199, 415)(200, 416)(201, 417)(202, 418)(203, 419)(204, 420)(205, 421)(206, 422)(207, 423)(208, 424)(209, 425)(210, 426)(211, 427)(212, 428)(213, 429)(214, 430)(215, 431)(216, 432)
	local type(s) :: { ( 4, 12 ), ( 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E10.804
Graph:: simple bipartite
	v = 126 e = 216 f = 72
	degree seq :: [ 2^108, 12^18 ]

E10.810 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 6})
Quotient :: dipole
Aut^+ = C2 x (((C3 x C3) : C3) : C2) (small group id <108, 25>)
Aut   = C2 x ((((C3 x C3) : C3) : C2) : C2) (small group id <216, 102>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y1)^2, (R * Y3)^2, (Y3 * Y2^-1)^2, Y1^6, (R * Y2 * Y3^-1)^2, Y1 * Y3^-1 * Y1^3 * Y3 * Y1^2, Y3 * Y1^-1 * Y3 * Y1^-1 * Y3^2 * Y1 * Y3 * Y1 * Y3, (Y3^-1 * Y1^-1)^6, Y3 * Y1 * Y3 * Y1^-1 * Y3 * Y1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1 * Y3^-1 * Y1^-1 ]
Map:: polytopal
	R = (1, 109, 2, 110, 5, 113, 11, 119, 10, 118, 4, 112)(3, 111, 7, 115, 15, 123, 22, 130, 18, 126, 8, 116)(6, 114, 13, 121, 25, 133, 21, 129, 28, 136, 14, 122)(9, 117, 19, 127, 24, 132, 12, 120, 23, 131, 20, 128)(16, 124, 30, 138, 47, 155, 34, 142, 50, 158, 31, 139)(17, 125, 32, 140, 46, 154, 29, 137, 45, 153, 33, 141)(26, 134, 40, 148, 63, 171, 44, 152, 66, 174, 41, 149)(27, 135, 42, 150, 62, 170, 39, 147, 61, 169, 43, 151)(35, 143, 53, 161, 58, 166, 37, 145, 57, 165, 54, 162)(36, 144, 55, 163, 60, 168, 38, 146, 59, 167, 56, 164)(48, 156, 72, 180, 94, 202, 75, 183, 84, 192, 73, 181)(49, 157, 67, 175, 91, 199, 71, 179, 85, 193, 74, 182)(51, 159, 76, 184, 82, 190, 69, 177, 93, 201, 77, 185)(52, 160, 78, 186, 90, 198, 70, 178, 88, 196, 64, 172)(65, 173, 83, 191, 100, 208, 87, 195, 80, 188, 89, 197)(68, 176, 92, 200, 79, 187, 86, 194, 99, 207, 81, 189)(95, 203, 101, 209, 107, 215, 106, 214, 98, 206, 104, 212)(96, 204, 102, 210, 97, 205, 103, 211, 108, 216, 105, 213)(217, 325)(218, 326)(219, 327)(220, 328)(221, 329)(222, 330)(223, 331)(224, 332)(225, 333)(226, 334)(227, 335)(228, 336)(229, 337)(230, 338)(231, 339)(232, 340)(233, 341)(234, 342)(235, 343)(236, 344)(237, 345)(238, 346)(239, 347)(240, 348)(241, 349)(242, 350)(243, 351)(244, 352)(245, 353)(246, 354)(247, 355)(248, 356)(249, 357)(250, 358)(251, 359)(252, 360)(253, 361)(254, 362)(255, 363)(256, 364)(257, 365)(258, 366)(259, 367)(260, 368)(261, 369)(262, 370)(263, 371)(264, 372)(265, 373)(266, 374)(267, 375)(268, 376)(269, 377)(270, 378)(271, 379)(272, 380)(273, 381)(274, 382)(275, 383)(276, 384)(277, 385)(278, 386)(279, 387)(280, 388)(281, 389)(282, 390)(283, 391)(284, 392)(285, 393)(286, 394)(287, 395)(288, 396)(289, 397)(290, 398)(291, 399)(292, 400)(293, 401)(294, 402)(295, 403)(296, 404)(297, 405)(298, 406)(299, 407)(300, 408)(301, 409)(302, 410)(303, 411)(304, 412)(305, 413)(306, 414)(307, 415)(308, 416)(309, 417)(310, 418)(311, 419)(312, 420)(313, 421)(314, 422)(315, 423)(316, 424)(317, 425)(318, 426)(319, 427)(320, 428)(321, 429)(322, 430)(323, 431)(324, 432)
	L = (1, 219)(2, 222)(3, 217)(4, 225)(5, 228)(6, 218)(7, 232)(8, 233)(9, 220)(10, 237)(11, 238)(12, 221)(13, 242)(14, 243)(15, 245)(16, 223)(17, 224)(18, 250)(19, 251)(20, 252)(21, 226)(22, 227)(23, 253)(24, 254)(25, 255)(26, 229)(27, 230)(28, 260)(29, 231)(30, 264)(31, 265)(32, 267)(33, 268)(34, 234)(35, 235)(36, 236)(37, 239)(38, 240)(39, 241)(40, 280)(41, 281)(42, 283)(43, 284)(44, 244)(45, 285)(46, 286)(47, 287)(48, 246)(49, 247)(50, 291)(51, 248)(52, 249)(53, 295)(54, 293)(55, 296)(56, 288)(57, 297)(58, 298)(59, 299)(60, 300)(61, 301)(62, 302)(63, 303)(64, 256)(65, 257)(66, 306)(67, 258)(68, 259)(69, 261)(70, 262)(71, 263)(72, 272)(73, 311)(74, 312)(75, 266)(76, 313)(77, 270)(78, 314)(79, 269)(80, 271)(81, 273)(82, 274)(83, 275)(84, 276)(85, 277)(86, 278)(87, 279)(88, 317)(89, 318)(90, 282)(91, 319)(92, 320)(93, 321)(94, 322)(95, 289)(96, 290)(97, 292)(98, 294)(99, 323)(100, 324)(101, 304)(102, 305)(103, 307)(104, 308)(105, 309)(106, 310)(107, 315)(108, 316)(109, 325)(110, 326)(111, 327)(112, 328)(113, 329)(114, 330)(115, 331)(116, 332)(117, 333)(118, 334)(119, 335)(120, 336)(121, 337)(122, 338)(123, 339)(124, 340)(125, 341)(126, 342)(127, 343)(128, 344)(129, 345)(130, 346)(131, 347)(132, 348)(133, 349)(134, 350)(135, 351)(136, 352)(137, 353)(138, 354)(139, 355)(140, 356)(141, 357)(142, 358)(143, 359)(144, 360)(145, 361)(146, 362)(147, 363)(148, 364)(149, 365)(150, 366)(151, 367)(152, 368)(153, 369)(154, 370)(155, 371)(156, 372)(157, 373)(158, 374)(159, 375)(160, 376)(161, 377)(162, 378)(163, 379)(164, 380)(165, 381)(166, 382)(167, 383)(168, 384)(169, 385)(170, 386)(171, 387)(172, 388)(173, 389)(174, 390)(175, 391)(176, 392)(177, 393)(178, 394)(179, 395)(180, 396)(181, 397)(182, 398)(183, 399)(184, 400)(185, 401)(186, 402)(187, 403)(188, 404)(189, 405)(190, 406)(191, 407)(192, 408)(193, 409)(194, 410)(195, 411)(196, 412)(197, 413)(198, 414)(199, 415)(200, 416)(201, 417)(202, 418)(203, 419)(204, 420)(205, 421)(206, 422)(207, 423)(208, 424)(209, 425)(210, 426)(211, 427)(212, 428)(213, 429)(214, 430)(215, 431)(216, 432)
	local type(s) :: { ( 4, 12 ), ( 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E10.806
Graph:: simple bipartite
	v = 126 e = 216 f = 72
	degree seq :: [ 2^108, 12^18 ]

E10.811 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 6})
Quotient :: dipole
Aut^+ = (((C3 x C3) : C3) : C2) : C2 (small group id <108, 17>)
Aut   = C2 x ((((C3 x C3) : C3) : C2) : C2) (small group id <216, 102>)
|r| :: 2
Presentation :: [ Y2, R^2, Y3^2, R * Y2 * R * Y2^-1, (R * Y1)^2, (R * Y3)^2, (Y3 * Y2^-1)^2, Y1^6, (Y3 * Y1^2 * Y3 * Y1^-1)^2, Y3 * Y1^-3 * Y3 * Y1^-2 * Y3 * Y1^-1 * Y3 * Y1^-2, (Y3 * Y1^-1 * Y3 * Y1 * Y3 * Y1^-1)^2, (Y3 * Y1^-1)^6 ]
Map:: polytopal
	R = (1, 109, 2, 110, 5, 113, 11, 119, 10, 118, 4, 112)(3, 111, 7, 115, 15, 123, 29, 137, 18, 126, 8, 116)(6, 114, 13, 121, 25, 133, 48, 156, 28, 136, 14, 122)(9, 117, 19, 127, 36, 144, 66, 174, 39, 147, 20, 128)(12, 120, 23, 131, 44, 152, 78, 186, 47, 155, 24, 132)(16, 124, 31, 139, 57, 165, 82, 190, 46, 154, 32, 140)(17, 125, 33, 141, 60, 168, 96, 204, 63, 171, 34, 142)(21, 129, 40, 148, 71, 179, 94, 202, 73, 181, 41, 149)(22, 130, 42, 150, 74, 182, 99, 207, 77, 185, 43, 151)(26, 134, 50, 158, 86, 194, 101, 209, 76, 184, 51, 159)(27, 135, 52, 160, 37, 145, 67, 175, 91, 199, 53, 161)(30, 138, 56, 164, 79, 187, 70, 178, 92, 200, 54, 162)(35, 143, 64, 172, 83, 191, 49, 157, 85, 193, 65, 173)(38, 146, 68, 176, 75, 183, 100, 208, 84, 192, 69, 177)(45, 153, 80, 188, 55, 163, 93, 201, 72, 180, 81, 189)(58, 166, 95, 203, 106, 214, 108, 216, 102, 210, 90, 198)(59, 167, 89, 197, 61, 169, 97, 205, 103, 211, 88, 196)(62, 170, 98, 206, 105, 213, 107, 215, 104, 212, 87, 195)(217, 325)(218, 326)(219, 327)(220, 328)(221, 329)(222, 330)(223, 331)(224, 332)(225, 333)(226, 334)(227, 335)(228, 336)(229, 337)(230, 338)(231, 339)(232, 340)(233, 341)(234, 342)(235, 343)(236, 344)(237, 345)(238, 346)(239, 347)(240, 348)(241, 349)(242, 350)(243, 351)(244, 352)(245, 353)(246, 354)(247, 355)(248, 356)(249, 357)(250, 358)(251, 359)(252, 360)(253, 361)(254, 362)(255, 363)(256, 364)(257, 365)(258, 366)(259, 367)(260, 368)(261, 369)(262, 370)(263, 371)(264, 372)(265, 373)(266, 374)(267, 375)(268, 376)(269, 377)(270, 378)(271, 379)(272, 380)(273, 381)(274, 382)(275, 383)(276, 384)(277, 385)(278, 386)(279, 387)(280, 388)(281, 389)(282, 390)(283, 391)(284, 392)(285, 393)(286, 394)(287, 395)(288, 396)(289, 397)(290, 398)(291, 399)(292, 400)(293, 401)(294, 402)(295, 403)(296, 404)(297, 405)(298, 406)(299, 407)(300, 408)(301, 409)(302, 410)(303, 411)(304, 412)(305, 413)(306, 414)(307, 415)(308, 416)(309, 417)(310, 418)(311, 419)(312, 420)(313, 421)(314, 422)(315, 423)(316, 424)(317, 425)(318, 426)(319, 427)(320, 428)(321, 429)(322, 430)(323, 431)(324, 432)
	L = (1, 219)(2, 222)(3, 217)(4, 225)(5, 228)(6, 218)(7, 232)(8, 233)(9, 220)(10, 237)(11, 238)(12, 221)(13, 242)(14, 243)(15, 246)(16, 223)(17, 224)(18, 251)(19, 253)(20, 254)(21, 226)(22, 227)(23, 261)(24, 262)(25, 265)(26, 229)(27, 230)(28, 270)(29, 271)(30, 231)(31, 274)(32, 275)(33, 277)(34, 278)(35, 234)(36, 280)(37, 235)(38, 236)(39, 286)(40, 276)(41, 288)(42, 291)(43, 292)(44, 295)(45, 239)(46, 240)(47, 299)(48, 300)(49, 241)(50, 303)(51, 304)(52, 305)(53, 306)(54, 244)(55, 245)(56, 293)(57, 310)(58, 247)(59, 248)(60, 256)(61, 249)(62, 250)(63, 294)(64, 252)(65, 290)(66, 302)(67, 314)(68, 313)(69, 311)(70, 255)(71, 308)(72, 257)(73, 301)(74, 281)(75, 258)(76, 259)(77, 272)(78, 279)(79, 260)(80, 318)(81, 319)(82, 320)(83, 263)(84, 264)(85, 289)(86, 282)(87, 266)(88, 267)(89, 268)(90, 269)(91, 315)(92, 287)(93, 321)(94, 273)(95, 285)(96, 322)(97, 284)(98, 283)(99, 307)(100, 323)(101, 324)(102, 296)(103, 297)(104, 298)(105, 309)(106, 312)(107, 316)(108, 317)(109, 325)(110, 326)(111, 327)(112, 328)(113, 329)(114, 330)(115, 331)(116, 332)(117, 333)(118, 334)(119, 335)(120, 336)(121, 337)(122, 338)(123, 339)(124, 340)(125, 341)(126, 342)(127, 343)(128, 344)(129, 345)(130, 346)(131, 347)(132, 348)(133, 349)(134, 350)(135, 351)(136, 352)(137, 353)(138, 354)(139, 355)(140, 356)(141, 357)(142, 358)(143, 359)(144, 360)(145, 361)(146, 362)(147, 363)(148, 364)(149, 365)(150, 366)(151, 367)(152, 368)(153, 369)(154, 370)(155, 371)(156, 372)(157, 373)(158, 374)(159, 375)(160, 376)(161, 377)(162, 378)(163, 379)(164, 380)(165, 381)(166, 382)(167, 383)(168, 384)(169, 385)(170, 386)(171, 387)(172, 388)(173, 389)(174, 390)(175, 391)(176, 392)(177, 393)(178, 394)(179, 395)(180, 396)(181, 397)(182, 398)(183, 399)(184, 400)(185, 401)(186, 402)(187, 403)(188, 404)(189, 405)(190, 406)(191, 407)(192, 408)(193, 409)(194, 410)(195, 411)(196, 412)(197, 413)(198, 414)(199, 415)(200, 416)(201, 417)(202, 418)(203, 419)(204, 420)(205, 421)(206, 422)(207, 423)(208, 424)(209, 425)(210, 426)(211, 427)(212, 428)(213, 429)(214, 430)(215, 431)(216, 432)
	local type(s) :: { ( 4, 12 ), ( 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E10.805
Graph:: simple bipartite
	v = 126 e = 216 f = 72
	degree seq :: [ 2^108, 12^18 ]

E10.812 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 6, 6})
Quotient :: regular
Aut^+ = C3 x S3 x S3 (small group id <108, 38>)
Aut   = S3 x S3 x S3 (small group id <216, 162>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T1^6, T1^-1 * T2 * T1^-1 * T2 * T1^2 * T2 * T1 * T2 * T1^-1, (T1^-1 * T2)^6 ]
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, 64, 39, 20)(12, 23, 44, 73, 47, 24)(16, 31, 45, 75, 59, 32)(17, 33, 46, 76, 62, 34)(21, 40, 67, 92, 68, 41)(22, 42, 69, 93, 72, 43)(26, 50, 70, 65, 37, 51)(27, 52, 71, 66, 38, 53)(30, 49, 74, 94, 85, 56)(35, 54, 77, 95, 90, 63)(55, 83, 96, 107, 104, 84)(57, 86, 103, 89, 60, 87)(58, 81, 101, 79, 61, 88)(78, 99, 106, 105, 91, 100)(80, 98, 108, 97, 82, 102)
	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, 57)(32, 58)(33, 60)(34, 61)(36, 56)(39, 63)(40, 59)(41, 62)(42, 70)(43, 71)(44, 74)(47, 77)(48, 78)(50, 79)(51, 80)(52, 81)(53, 82)(64, 91)(65, 89)(66, 86)(67, 85)(68, 90)(69, 94)(72, 95)(73, 96)(75, 97)(76, 98)(83, 103)(84, 101)(87, 105)(88, 99)(92, 104)(93, 106)(100, 108)(102, 107)
	local type(s) :: { ( 6^6 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: ET+ VT+ AT+ REG+
Graph:: simple bipartite
	v = 18 e = 54 f = 18
	degree seq :: [ 6^18 ]

E10.813 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 6, 6})
Quotient :: edge
Aut^+ = C3 x S3 x S3 (small group id <108, 38>)
Aut   = S3 x S3 x S3 (small group id <216, 162>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, T2^6, T2^-1 * T1 * T2 * T1 * T2^2 * T1 * T2^-1 * T1 * T2^-1, (T2^-1 * T1)^6, (T2 * T1 * T2^-1 * T1)^3 ]
Map:: polytopal
	R = (1, 3, 8, 18, 10, 4)(2, 5, 12, 25, 14, 6)(7, 15, 30, 57, 32, 16)(9, 19, 37, 65, 39, 20)(11, 22, 43, 71, 45, 23)(13, 26, 50, 79, 52, 27)(17, 33, 60, 88, 61, 34)(21, 40, 67, 92, 68, 41)(24, 46, 74, 98, 75, 47)(28, 53, 81, 102, 82, 54)(29, 55, 83, 64, 36, 56)(31, 58, 86, 66, 38, 59)(35, 62, 89, 105, 90, 63)(42, 69, 93, 78, 49, 70)(44, 72, 96, 80, 51, 73)(48, 76, 99, 108, 100, 77)(84, 101, 107, 95, 87, 103)(85, 97, 106, 94, 91, 104)(109, 110)(111, 115)(112, 117)(113, 119)(114, 121)(116, 125)(118, 129)(120, 132)(122, 136)(123, 137)(124, 139)(126, 143)(127, 144)(128, 146)(130, 150)(131, 152)(133, 156)(134, 157)(135, 159)(138, 154)(140, 161)(141, 151)(142, 158)(145, 155)(147, 162)(148, 153)(149, 160)(163, 188)(164, 192)(165, 193)(166, 180)(167, 195)(168, 182)(169, 189)(170, 191)(171, 194)(172, 186)(173, 199)(174, 177)(175, 183)(176, 190)(178, 202)(179, 203)(181, 205)(184, 201)(185, 204)(187, 209)(196, 207)(197, 206)(198, 210)(200, 208)(211, 216)(212, 215)(213, 214)
	L = (1, 109)(2, 110)(3, 111)(4, 112)(5, 113)(6, 114)(7, 115)(8, 116)(9, 117)(10, 118)(11, 119)(12, 120)(13, 121)(14, 122)(15, 123)(16, 124)(17, 125)(18, 126)(19, 127)(20, 128)(21, 129)(22, 130)(23, 131)(24, 132)(25, 133)(26, 134)(27, 135)(28, 136)(29, 137)(30, 138)(31, 139)(32, 140)(33, 141)(34, 142)(35, 143)(36, 144)(37, 145)(38, 146)(39, 147)(40, 148)(41, 149)(42, 150)(43, 151)(44, 152)(45, 153)(46, 154)(47, 155)(48, 156)(49, 157)(50, 158)(51, 159)(52, 160)(53, 161)(54, 162)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 12, 12 ), ( 12^6 ) }
Outer automorphisms :: reflexible
Dual of E10.814
Transitivity :: ET+
Graph:: simple bipartite
	v = 72 e = 108 f = 18
	degree seq :: [ 2^54, 6^18 ]

E10.814 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 6, 6})
Quotient :: loop
Aut^+ = C3 x S3 x S3 (small group id <108, 38>)
Aut   = S3 x S3 x S3 (small group id <216, 162>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, T2^6, T2^-1 * T1 * T2 * T1 * T2^2 * T1 * T2^-1 * T1 * T2^-1, (T2^-1 * T1)^6, (T2 * T1 * T2^-1 * T1)^3 ]
Map::
	R = (1, 109, 3, 111, 8, 116, 18, 126, 10, 118, 4, 112)(2, 110, 5, 113, 12, 120, 25, 133, 14, 122, 6, 114)(7, 115, 15, 123, 30, 138, 57, 165, 32, 140, 16, 124)(9, 117, 19, 127, 37, 145, 65, 173, 39, 147, 20, 128)(11, 119, 22, 130, 43, 151, 71, 179, 45, 153, 23, 131)(13, 121, 26, 134, 50, 158, 79, 187, 52, 160, 27, 135)(17, 125, 33, 141, 60, 168, 88, 196, 61, 169, 34, 142)(21, 129, 40, 148, 67, 175, 92, 200, 68, 176, 41, 149)(24, 132, 46, 154, 74, 182, 98, 206, 75, 183, 47, 155)(28, 136, 53, 161, 81, 189, 102, 210, 82, 190, 54, 162)(29, 137, 55, 163, 83, 191, 64, 172, 36, 144, 56, 164)(31, 139, 58, 166, 86, 194, 66, 174, 38, 146, 59, 167)(35, 143, 62, 170, 89, 197, 105, 213, 90, 198, 63, 171)(42, 150, 69, 177, 93, 201, 78, 186, 49, 157, 70, 178)(44, 152, 72, 180, 96, 204, 80, 188, 51, 159, 73, 181)(48, 156, 76, 184, 99, 207, 108, 216, 100, 208, 77, 185)(84, 192, 101, 209, 107, 215, 95, 203, 87, 195, 103, 211)(85, 193, 97, 205, 106, 214, 94, 202, 91, 199, 104, 212)
	L = (1, 110)(2, 109)(3, 115)(4, 117)(5, 119)(6, 121)(7, 111)(8, 125)(9, 112)(10, 129)(11, 113)(12, 132)(13, 114)(14, 136)(15, 137)(16, 139)(17, 116)(18, 143)(19, 144)(20, 146)(21, 118)(22, 150)(23, 152)(24, 120)(25, 156)(26, 157)(27, 159)(28, 122)(29, 123)(30, 154)(31, 124)(32, 161)(33, 151)(34, 158)(35, 126)(36, 127)(37, 155)(38, 128)(39, 162)(40, 153)(41, 160)(42, 130)(43, 141)(44, 131)(45, 148)(46, 138)(47, 145)(48, 133)(49, 134)(50, 142)(51, 135)(52, 149)(53, 140)(54, 147)(55, 188)(56, 192)(57, 193)(58, 180)(59, 195)(60, 182)(61, 189)(62, 191)(63, 194)(64, 186)(65, 199)(66, 177)(67, 183)(68, 190)(69, 174)(70, 202)(71, 203)(72, 166)(73, 205)(74, 168)(75, 175)(76, 201)(77, 204)(78, 172)(79, 209)(80, 163)(81, 169)(82, 176)(83, 170)(84, 164)(85, 165)(86, 171)(87, 167)(88, 207)(89, 206)(90, 210)(91, 173)(92, 208)(93, 184)(94, 178)(95, 179)(96, 185)(97, 181)(98, 197)(99, 196)(100, 200)(101, 187)(102, 198)(103, 216)(104, 215)(105, 214)(106, 213)(107, 212)(108, 211)
	local type(s) :: { ( 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6 ) }
Outer automorphisms :: reflexible
Dual of E10.813
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 18 e = 108 f = 72
	degree seq :: [ 12^18 ]

E10.815 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 6})
Quotient :: dipole
Aut^+ = C3 x S3 x S3 (small group id <108, 38>)
Aut   = S3 x S3 x S3 (small group id <216, 162>)
|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 * Y1 * Y2^2 * Y1 * Y2^-1 * Y1 * Y2^-1, (Y2 * Y1 * Y2^-1 * Y1)^3, (Y3 * Y2^-1)^6 ]
Map::
	R = (1, 109, 2, 110)(3, 111, 7, 115)(4, 112, 9, 117)(5, 113, 11, 119)(6, 114, 13, 121)(8, 116, 17, 125)(10, 118, 21, 129)(12, 120, 24, 132)(14, 122, 28, 136)(15, 123, 29, 137)(16, 124, 31, 139)(18, 126, 35, 143)(19, 127, 36, 144)(20, 128, 38, 146)(22, 130, 42, 150)(23, 131, 44, 152)(25, 133, 48, 156)(26, 134, 49, 157)(27, 135, 51, 159)(30, 138, 46, 154)(32, 140, 53, 161)(33, 141, 43, 151)(34, 142, 50, 158)(37, 145, 47, 155)(39, 147, 54, 162)(40, 148, 45, 153)(41, 149, 52, 160)(55, 163, 80, 188)(56, 164, 84, 192)(57, 165, 85, 193)(58, 166, 72, 180)(59, 167, 87, 195)(60, 168, 74, 182)(61, 169, 81, 189)(62, 170, 83, 191)(63, 171, 86, 194)(64, 172, 78, 186)(65, 173, 91, 199)(66, 174, 69, 177)(67, 175, 75, 183)(68, 176, 82, 190)(70, 178, 94, 202)(71, 179, 95, 203)(73, 181, 97, 205)(76, 184, 93, 201)(77, 185, 96, 204)(79, 187, 101, 209)(88, 196, 99, 207)(89, 197, 98, 206)(90, 198, 102, 210)(92, 200, 100, 208)(103, 211, 108, 216)(104, 212, 107, 215)(105, 213, 106, 214)(217, 325, 219, 327, 224, 332, 234, 342, 226, 334, 220, 328)(218, 326, 221, 329, 228, 336, 241, 349, 230, 338, 222, 330)(223, 331, 231, 339, 246, 354, 273, 381, 248, 356, 232, 340)(225, 333, 235, 343, 253, 361, 281, 389, 255, 363, 236, 344)(227, 335, 238, 346, 259, 367, 287, 395, 261, 369, 239, 347)(229, 337, 242, 350, 266, 374, 295, 403, 268, 376, 243, 351)(233, 341, 249, 357, 276, 384, 304, 412, 277, 385, 250, 358)(237, 345, 256, 364, 283, 391, 308, 416, 284, 392, 257, 365)(240, 348, 262, 370, 290, 398, 314, 422, 291, 399, 263, 371)(244, 352, 269, 377, 297, 405, 318, 426, 298, 406, 270, 378)(245, 353, 271, 379, 299, 407, 280, 388, 252, 360, 272, 380)(247, 355, 274, 382, 302, 410, 282, 390, 254, 362, 275, 383)(251, 359, 278, 386, 305, 413, 321, 429, 306, 414, 279, 387)(258, 366, 285, 393, 309, 417, 294, 402, 265, 373, 286, 394)(260, 368, 288, 396, 312, 420, 296, 404, 267, 375, 289, 397)(264, 372, 292, 400, 315, 423, 324, 432, 316, 424, 293, 401)(300, 408, 317, 425, 323, 431, 311, 419, 303, 411, 319, 427)(301, 409, 313, 421, 322, 430, 310, 418, 307, 415, 320, 428)
	L = (1, 218)(2, 217)(3, 223)(4, 225)(5, 227)(6, 229)(7, 219)(8, 233)(9, 220)(10, 237)(11, 221)(12, 240)(13, 222)(14, 244)(15, 245)(16, 247)(17, 224)(18, 251)(19, 252)(20, 254)(21, 226)(22, 258)(23, 260)(24, 228)(25, 264)(26, 265)(27, 267)(28, 230)(29, 231)(30, 262)(31, 232)(32, 269)(33, 259)(34, 266)(35, 234)(36, 235)(37, 263)(38, 236)(39, 270)(40, 261)(41, 268)(42, 238)(43, 249)(44, 239)(45, 256)(46, 246)(47, 253)(48, 241)(49, 242)(50, 250)(51, 243)(52, 257)(53, 248)(54, 255)(55, 296)(56, 300)(57, 301)(58, 288)(59, 303)(60, 290)(61, 297)(62, 299)(63, 302)(64, 294)(65, 307)(66, 285)(67, 291)(68, 298)(69, 282)(70, 310)(71, 311)(72, 274)(73, 313)(74, 276)(75, 283)(76, 309)(77, 312)(78, 280)(79, 317)(80, 271)(81, 277)(82, 284)(83, 278)(84, 272)(85, 273)(86, 279)(87, 275)(88, 315)(89, 314)(90, 318)(91, 281)(92, 316)(93, 292)(94, 286)(95, 287)(96, 293)(97, 289)(98, 305)(99, 304)(100, 308)(101, 295)(102, 306)(103, 324)(104, 323)(105, 322)(106, 321)(107, 320)(108, 319)(109, 325)(110, 326)(111, 327)(112, 328)(113, 329)(114, 330)(115, 331)(116, 332)(117, 333)(118, 334)(119, 335)(120, 336)(121, 337)(122, 338)(123, 339)(124, 340)(125, 341)(126, 342)(127, 343)(128, 344)(129, 345)(130, 346)(131, 347)(132, 348)(133, 349)(134, 350)(135, 351)(136, 352)(137, 353)(138, 354)(139, 355)(140, 356)(141, 357)(142, 358)(143, 359)(144, 360)(145, 361)(146, 362)(147, 363)(148, 364)(149, 365)(150, 366)(151, 367)(152, 368)(153, 369)(154, 370)(155, 371)(156, 372)(157, 373)(158, 374)(159, 375)(160, 376)(161, 377)(162, 378)(163, 379)(164, 380)(165, 381)(166, 382)(167, 383)(168, 384)(169, 385)(170, 386)(171, 387)(172, 388)(173, 389)(174, 390)(175, 391)(176, 392)(177, 393)(178, 394)(179, 395)(180, 396)(181, 397)(182, 398)(183, 399)(184, 400)(185, 401)(186, 402)(187, 403)(188, 404)(189, 405)(190, 406)(191, 407)(192, 408)(193, 409)(194, 410)(195, 411)(196, 412)(197, 413)(198, 414)(199, 415)(200, 416)(201, 417)(202, 418)(203, 419)(204, 420)(205, 421)(206, 422)(207, 423)(208, 424)(209, 425)(210, 426)(211, 427)(212, 428)(213, 429)(214, 430)(215, 431)(216, 432)
	local type(s) :: { ( 2, 12, 2, 12 ), ( 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12 ) }
Outer automorphisms :: reflexible
Dual of E10.816
Graph:: bipartite
	v = 72 e = 216 f = 126
	degree seq :: [ 4^54, 12^18 ]

E10.816 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 6})
Quotient :: dipole
Aut^+ = C3 x S3 x S3 (small group id <108, 38>)
Aut   = S3 x S3 x S3 (small group id <216, 162>)
|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 * Y1 * Y3^-1 * Y1^2 * Y3^-1 * Y1^-1, Y3 * Y1^2 * Y3 * Y1 * Y3^-1 * Y1^-2 * Y3^-1 * Y1^-1, Y3 * Y1 * Y3 * Y1^2 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-2, Y3 * Y1^-1 * Y3 * Y1^2 * Y3^-1 * Y1 * Y3^-1 * Y1^-2, (Y3^-1 * Y1^-1)^6 ]
Map:: polytopal
	R = (1, 109, 2, 110, 5, 113, 11, 119, 10, 118, 4, 112)(3, 111, 7, 115, 15, 123, 29, 137, 18, 126, 8, 116)(6, 114, 13, 121, 25, 133, 48, 156, 28, 136, 14, 122)(9, 117, 19, 127, 36, 144, 64, 172, 39, 147, 20, 128)(12, 120, 23, 131, 44, 152, 73, 181, 47, 155, 24, 132)(16, 124, 31, 139, 45, 153, 75, 183, 59, 167, 32, 140)(17, 125, 33, 141, 46, 154, 76, 184, 62, 170, 34, 142)(21, 129, 40, 148, 67, 175, 92, 200, 68, 176, 41, 149)(22, 130, 42, 150, 69, 177, 93, 201, 72, 180, 43, 151)(26, 134, 50, 158, 70, 178, 65, 173, 37, 145, 51, 159)(27, 135, 52, 160, 71, 179, 66, 174, 38, 146, 53, 161)(30, 138, 49, 157, 74, 182, 94, 202, 85, 193, 56, 164)(35, 143, 54, 162, 77, 185, 95, 203, 90, 198, 63, 171)(55, 163, 83, 191, 96, 204, 107, 215, 104, 212, 84, 192)(57, 165, 86, 194, 103, 211, 89, 197, 60, 168, 87, 195)(58, 166, 81, 189, 101, 209, 79, 187, 61, 169, 88, 196)(78, 186, 99, 207, 106, 214, 105, 213, 91, 199, 100, 208)(80, 188, 98, 206, 108, 216, 97, 205, 82, 190, 102, 210)(217, 325)(218, 326)(219, 327)(220, 328)(221, 329)(222, 330)(223, 331)(224, 332)(225, 333)(226, 334)(227, 335)(228, 336)(229, 337)(230, 338)(231, 339)(232, 340)(233, 341)(234, 342)(235, 343)(236, 344)(237, 345)(238, 346)(239, 347)(240, 348)(241, 349)(242, 350)(243, 351)(244, 352)(245, 353)(246, 354)(247, 355)(248, 356)(249, 357)(250, 358)(251, 359)(252, 360)(253, 361)(254, 362)(255, 363)(256, 364)(257, 365)(258, 366)(259, 367)(260, 368)(261, 369)(262, 370)(263, 371)(264, 372)(265, 373)(266, 374)(267, 375)(268, 376)(269, 377)(270, 378)(271, 379)(272, 380)(273, 381)(274, 382)(275, 383)(276, 384)(277, 385)(278, 386)(279, 387)(280, 388)(281, 389)(282, 390)(283, 391)(284, 392)(285, 393)(286, 394)(287, 395)(288, 396)(289, 397)(290, 398)(291, 399)(292, 400)(293, 401)(294, 402)(295, 403)(296, 404)(297, 405)(298, 406)(299, 407)(300, 408)(301, 409)(302, 410)(303, 411)(304, 412)(305, 413)(306, 414)(307, 415)(308, 416)(309, 417)(310, 418)(311, 419)(312, 420)(313, 421)(314, 422)(315, 423)(316, 424)(317, 425)(318, 426)(319, 427)(320, 428)(321, 429)(322, 430)(323, 431)(324, 432)
	L = (1, 219)(2, 222)(3, 217)(4, 225)(5, 228)(6, 218)(7, 232)(8, 233)(9, 220)(10, 237)(11, 238)(12, 221)(13, 242)(14, 243)(15, 246)(16, 223)(17, 224)(18, 251)(19, 253)(20, 254)(21, 226)(22, 227)(23, 261)(24, 262)(25, 265)(26, 229)(27, 230)(28, 270)(29, 271)(30, 231)(31, 273)(32, 274)(33, 276)(34, 277)(35, 234)(36, 272)(37, 235)(38, 236)(39, 279)(40, 275)(41, 278)(42, 286)(43, 287)(44, 290)(45, 239)(46, 240)(47, 293)(48, 294)(49, 241)(50, 295)(51, 296)(52, 297)(53, 298)(54, 244)(55, 245)(56, 252)(57, 247)(58, 248)(59, 256)(60, 249)(61, 250)(62, 257)(63, 255)(64, 307)(65, 305)(66, 302)(67, 301)(68, 306)(69, 310)(70, 258)(71, 259)(72, 311)(73, 312)(74, 260)(75, 313)(76, 314)(77, 263)(78, 264)(79, 266)(80, 267)(81, 268)(82, 269)(83, 319)(84, 317)(85, 283)(86, 282)(87, 321)(88, 315)(89, 281)(90, 284)(91, 280)(92, 320)(93, 322)(94, 285)(95, 288)(96, 289)(97, 291)(98, 292)(99, 304)(100, 324)(101, 300)(102, 323)(103, 299)(104, 308)(105, 303)(106, 309)(107, 318)(108, 316)(109, 325)(110, 326)(111, 327)(112, 328)(113, 329)(114, 330)(115, 331)(116, 332)(117, 333)(118, 334)(119, 335)(120, 336)(121, 337)(122, 338)(123, 339)(124, 340)(125, 341)(126, 342)(127, 343)(128, 344)(129, 345)(130, 346)(131, 347)(132, 348)(133, 349)(134, 350)(135, 351)(136, 352)(137, 353)(138, 354)(139, 355)(140, 356)(141, 357)(142, 358)(143, 359)(144, 360)(145, 361)(146, 362)(147, 363)(148, 364)(149, 365)(150, 366)(151, 367)(152, 368)(153, 369)(154, 370)(155, 371)(156, 372)(157, 373)(158, 374)(159, 375)(160, 376)(161, 377)(162, 378)(163, 379)(164, 380)(165, 381)(166, 382)(167, 383)(168, 384)(169, 385)(170, 386)(171, 387)(172, 388)(173, 389)(174, 390)(175, 391)(176, 392)(177, 393)(178, 394)(179, 395)(180, 396)(181, 397)(182, 398)(183, 399)(184, 400)(185, 401)(186, 402)(187, 403)(188, 404)(189, 405)(190, 406)(191, 407)(192, 408)(193, 409)(194, 410)(195, 411)(196, 412)(197, 413)(198, 414)(199, 415)(200, 416)(201, 417)(202, 418)(203, 419)(204, 420)(205, 421)(206, 422)(207, 423)(208, 424)(209, 425)(210, 426)(211, 427)(212, 428)(213, 429)(214, 430)(215, 431)(216, 432)
	local type(s) :: { ( 4, 12 ), ( 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E10.815
Graph:: simple bipartite
	v = 126 e = 216 f = 72
	degree seq :: [ 2^108, 12^18 ]

E10.817 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 4, 12})
Quotient :: regular
Aut^+ = ((C3 x C3) : C3) : C4 (small group id <108, 15>)
Aut   = (((C3 x C3) : C3) : C4) : C2 (small group id <216, 87>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, (T1^-1 * T2)^4, (T1^2 * T2)^3, T1^-1 * T2 * T1^4 * T2 * T1^-3, T1^12, (T2 * T1 * T2 * T1^-1)^3 ]
Map:: polytopal non-degenerate
	R = (1, 2, 5, 11, 23, 45, 74, 73, 44, 22, 10, 4)(3, 7, 15, 31, 46, 76, 80, 98, 66, 37, 18, 8)(6, 13, 27, 52, 75, 99, 67, 72, 43, 56, 30, 14)(9, 19, 38, 48, 24, 47, 55, 85, 102, 70, 40, 20)(12, 25, 36, 64, 90, 58, 32, 42, 21, 41, 51, 26)(16, 33, 59, 91, 105, 78, 94, 97, 65, 93, 61, 34)(17, 35, 62, 88, 57, 87, 92, 86, 108, 82, 53, 28)(29, 54, 83, 89, 81, 107, 104, 71, 103, 95, 63, 49)(39, 68, 60, 84, 77, 50, 79, 106, 101, 96, 100, 69)
	L = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 17)(10, 21)(11, 24)(13, 28)(14, 29)(15, 32)(18, 36)(19, 39)(20, 33)(22, 43)(23, 46)(25, 49)(26, 50)(27, 40)(30, 55)(31, 57)(34, 60)(35, 63)(37, 65)(38, 67)(41, 71)(42, 68)(44, 66)(45, 75)(47, 77)(48, 78)(51, 80)(52, 81)(53, 59)(54, 84)(56, 86)(58, 89)(61, 92)(62, 94)(64, 96)(69, 95)(70, 101)(72, 103)(73, 102)(74, 90)(76, 105)(79, 91)(82, 104)(83, 87)(85, 93)(88, 99)(97, 100)(98, 108)(106, 107)
	local type(s) :: { ( 4^12 ) }
Outer automorphisms :: reflexible
Dual of E10.818
Transitivity :: ET+ VT+ AT+ REG+
Graph::
	v = 9 e = 54 f = 27
	degree seq :: [ 12^9 ]

E10.818 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 4, 12})
Quotient :: regular
Aut^+ = ((C3 x C3) : C3) : C4 (small group id <108, 15>)
Aut   = (((C3 x C3) : C3) : C4) : C2 (small group id <216, 87>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T1^4, T1 * T2 * T1^-2 * T2 * T1^-2 * T2 * T1, (T2 * T1^-1 * T2 * T1)^3, T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 2, 5, 4)(3, 7, 13, 8)(6, 11, 20, 12)(9, 16, 28, 17)(10, 18, 23, 19)(14, 24, 37, 25)(15, 26, 40, 27)(21, 33, 51, 34)(22, 35, 54, 36)(29, 43, 64, 44)(30, 45, 66, 46)(31, 47, 69, 48)(32, 49, 72, 50)(38, 57, 81, 58)(39, 55, 78, 59)(41, 60, 85, 61)(42, 62, 87, 63)(52, 75, 99, 76)(53, 73, 97, 77)(56, 79, 84, 80)(65, 90, 86, 91)(67, 92, 96, 71)(68, 93, 106, 94)(70, 95, 104, 83)(74, 88, 101, 98)(82, 100, 107, 103)(89, 102, 108, 105)
	L = (1, 3)(2, 6)(4, 9)(5, 10)(7, 14)(8, 15)(11, 21)(12, 22)(13, 23)(16, 29)(17, 30)(18, 31)(19, 32)(20, 28)(24, 38)(25, 39)(26, 41)(27, 42)(33, 52)(34, 53)(35, 55)(36, 56)(37, 40)(43, 65)(44, 61)(45, 67)(46, 68)(47, 70)(48, 71)(49, 73)(50, 74)(51, 54)(57, 82)(58, 83)(59, 84)(60, 86)(62, 88)(63, 89)(64, 66)(69, 72)(75, 100)(76, 91)(77, 101)(78, 81)(79, 93)(80, 102)(85, 87)(90, 103)(92, 104)(94, 105)(95, 107)(96, 106)(97, 99)(98, 108)
	local type(s) :: { ( 12^4 ) }
Outer automorphisms :: reflexible
Dual of E10.817
Transitivity :: ET+ VT+ AT+ REG+
Graph:: simple
	v = 27 e = 54 f = 9
	degree seq :: [ 4^27 ]

E10.819 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 4, 12})
Quotient :: edge
Aut^+ = ((C3 x C3) : C3) : C4 (small group id <108, 15>)
Aut   = (((C3 x C3) : C3) : C4) : C2 (small group id <216, 87>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T1)^2, (F * T2)^2, T2^4, T2 * T1 * T2^-2 * T1 * T2^-2 * T1 * T2, (T1 * T2^-1 * T1 * T2)^3, T2 * T1 * T2 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2 * T1 * T2 * 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, 35, 22)(15, 26, 20, 27)(23, 37, 56, 38)(25, 39, 58, 40)(28, 43, 65, 44)(30, 45, 67, 46)(31, 47, 70, 48)(33, 49, 72, 50)(34, 51, 75, 52)(36, 53, 77, 54)(41, 60, 86, 61)(42, 62, 88, 63)(55, 79, 101, 80)(57, 81, 102, 82)(59, 83, 73, 84)(64, 90, 74, 91)(66, 92, 104, 87)(68, 93, 106, 94)(69, 95, 107, 96)(71, 85, 103, 97)(76, 98, 105, 89)(78, 99, 108, 100)(109, 110)(111, 115)(112, 117)(113, 118)(114, 120)(116, 123)(119, 128)(121, 131)(122, 133)(124, 136)(125, 138)(126, 139)(127, 141)(129, 142)(130, 144)(132, 137)(134, 149)(135, 150)(140, 143)(145, 163)(146, 165)(147, 157)(148, 167)(151, 172)(152, 160)(153, 174)(154, 176)(155, 177)(156, 179)(158, 181)(159, 182)(161, 184)(162, 186)(164, 166)(168, 193)(169, 195)(170, 189)(171, 197)(173, 175)(178, 180)(183, 185)(187, 203)(188, 199)(190, 206)(191, 201)(192, 207)(194, 196)(198, 204)(200, 205)(202, 208)(209, 210)(211, 215)(212, 214)(213, 216)
	L = (1, 109)(2, 110)(3, 111)(4, 112)(5, 113)(6, 114)(7, 115)(8, 116)(9, 117)(10, 118)(11, 119)(12, 120)(13, 121)(14, 122)(15, 123)(16, 124)(17, 125)(18, 126)(19, 127)(20, 128)(21, 129)(22, 130)(23, 131)(24, 132)(25, 133)(26, 134)(27, 135)(28, 136)(29, 137)(30, 138)(31, 139)(32, 140)(33, 141)(34, 142)(35, 143)(36, 144)(37, 145)(38, 146)(39, 147)(40, 148)(41, 149)(42, 150)(43, 151)(44, 152)(45, 153)(46, 154)(47, 155)(48, 156)(49, 157)(50, 158)(51, 159)(52, 160)(53, 161)(54, 162)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 24, 24 ), ( 24^4 ) }
Outer automorphisms :: reflexible
Dual of E10.823
Transitivity :: ET+
Graph:: simple bipartite
	v = 81 e = 108 f = 9
	degree seq :: [ 2^54, 4^27 ]

E10.820 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 4, 12})
Quotient :: edge
Aut^+ = ((C3 x C3) : C3) : C4 (small group id <108, 15>)
Aut   = (((C3 x C3) : C3) : C4) : C2 (small group id <216, 87>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, T1^4, (T2^-1 * T1^-1)^2, (T2^-1 * T1)^3, T1^-1 * T2^3 * T1^-1 * T2^-5, T1^-1 * T2^3 * T1^-1 * T2^7, T1^-1 * T2^-1 * T1 * T2^2 * T1 * T2^-1 * T1^-2 * T2^-2 * T1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 3, 10, 24, 47, 83, 107, 71, 56, 30, 14, 5)(2, 7, 17, 36, 66, 48, 79, 99, 72, 40, 20, 8)(4, 12, 26, 50, 84, 95, 89, 55, 77, 43, 22, 9)(6, 15, 31, 58, 94, 67, 102, 76, 100, 62, 34, 16)(11, 19, 38, 68, 105, 65, 37, 29, 54, 80, 45, 23)(13, 28, 52, 82, 46, 25, 42, 75, 108, 86, 49, 27)(18, 33, 60, 96, 81, 93, 59, 39, 70, 103, 64, 35)(21, 41, 73, 104, 87, 51, 61, 98, 90, 92, 57, 32)(44, 78, 97, 85, 106, 69, 91, 88, 53, 63, 101, 74)(109, 110, 114, 112)(111, 117, 129, 119)(113, 121, 126, 115)(116, 127, 140, 123)(118, 131, 152, 133)(120, 124, 141, 135)(122, 137, 161, 136)(125, 143, 171, 145)(128, 147, 177, 146)(130, 150, 182, 149)(132, 154, 189, 156)(134, 157, 193, 159)(138, 163, 198, 162)(139, 165, 199, 167)(142, 169, 205, 168)(144, 173, 212, 175)(148, 179, 216, 178)(151, 184, 211, 183)(153, 187, 204, 186)(155, 174, 202, 192)(158, 195, 213, 191)(160, 196, 200, 197)(164, 180, 208, 185)(166, 201, 190, 203)(170, 207, 188, 206)(172, 210, 181, 209)(176, 214, 194, 215)
	L = (1, 109)(2, 110)(3, 111)(4, 112)(5, 113)(6, 114)(7, 115)(8, 116)(9, 117)(10, 118)(11, 119)(12, 120)(13, 121)(14, 122)(15, 123)(16, 124)(17, 125)(18, 126)(19, 127)(20, 128)(21, 129)(22, 130)(23, 131)(24, 132)(25, 133)(26, 134)(27, 135)(28, 136)(29, 137)(30, 138)(31, 139)(32, 140)(33, 141)(34, 142)(35, 143)(36, 144)(37, 145)(38, 146)(39, 147)(40, 148)(41, 149)(42, 150)(43, 151)(44, 152)(45, 153)(46, 154)(47, 155)(48, 156)(49, 157)(50, 158)(51, 159)(52, 160)(53, 161)(54, 162)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 4^4 ), ( 4^12 ) }
Outer automorphisms :: reflexible
Dual of E10.824
Transitivity :: ET+
Graph:: simple bipartite
	v = 36 e = 108 f = 54
	degree seq :: [ 4^27, 12^9 ]

E10.821 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 4, 12})
Quotient :: edge
Aut^+ = ((C3 x C3) : C3) : C4 (small group id <108, 15>)
Aut   = (((C3 x C3) : C3) : C4) : C2 (small group id <216, 87>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, (T2 * T1^-1)^4, (T1^2 * T2)^3, T1^-1 * T2 * T1^4 * T2 * T1^-3, T1^12, (T2 * T1 * T2 * T1^-1)^3 ]
Map:: polytopal
	R = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 17)(10, 21)(11, 24)(13, 28)(14, 29)(15, 32)(18, 36)(19, 39)(20, 33)(22, 43)(23, 46)(25, 49)(26, 50)(27, 40)(30, 55)(31, 57)(34, 60)(35, 63)(37, 65)(38, 67)(41, 71)(42, 68)(44, 66)(45, 75)(47, 77)(48, 78)(51, 80)(52, 81)(53, 59)(54, 84)(56, 86)(58, 89)(61, 92)(62, 94)(64, 96)(69, 95)(70, 101)(72, 103)(73, 102)(74, 90)(76, 105)(79, 91)(82, 104)(83, 87)(85, 93)(88, 99)(97, 100)(98, 108)(106, 107)(109, 110, 113, 119, 131, 153, 182, 181, 152, 130, 118, 112)(111, 115, 123, 139, 154, 184, 188, 206, 174, 145, 126, 116)(114, 121, 135, 160, 183, 207, 175, 180, 151, 164, 138, 122)(117, 127, 146, 156, 132, 155, 163, 193, 210, 178, 148, 128)(120, 133, 144, 172, 198, 166, 140, 150, 129, 149, 159, 134)(124, 141, 167, 199, 213, 186, 202, 205, 173, 201, 169, 142)(125, 143, 170, 196, 165, 195, 200, 194, 216, 190, 161, 136)(137, 162, 191, 197, 189, 215, 212, 179, 211, 203, 171, 157)(147, 176, 168, 192, 185, 158, 187, 214, 209, 204, 208, 177)
	L = (1, 109)(2, 110)(3, 111)(4, 112)(5, 113)(6, 114)(7, 115)(8, 116)(9, 117)(10, 118)(11, 119)(12, 120)(13, 121)(14, 122)(15, 123)(16, 124)(17, 125)(18, 126)(19, 127)(20, 128)(21, 129)(22, 130)(23, 131)(24, 132)(25, 133)(26, 134)(27, 135)(28, 136)(29, 137)(30, 138)(31, 139)(32, 140)(33, 141)(34, 142)(35, 143)(36, 144)(37, 145)(38, 146)(39, 147)(40, 148)(41, 149)(42, 150)(43, 151)(44, 152)(45, 153)(46, 154)(47, 155)(48, 156)(49, 157)(50, 158)(51, 159)(52, 160)(53, 161)(54, 162)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 8, 8 ), ( 8^12 ) }
Outer automorphisms :: reflexible
Dual of E10.822
Transitivity :: ET+
Graph:: simple bipartite
	v = 63 e = 108 f = 27
	degree seq :: [ 2^54, 12^9 ]

E10.822 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 4, 12})
Quotient :: loop
Aut^+ = ((C3 x C3) : C3) : C4 (small group id <108, 15>)
Aut   = (((C3 x C3) : C3) : C4) : C2 (small group id <216, 87>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T1)^2, (F * T2)^2, T2^4, T2 * T1 * T2^-2 * T1 * T2^-2 * T1 * T2, (T1 * T2^-1 * T1 * T2)^3, T2 * T1 * T2 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2 * T1 * T2 * T1 ]
Map::
	R = (1, 109, 3, 111, 8, 116, 4, 112)(2, 110, 5, 113, 11, 119, 6, 114)(7, 115, 13, 121, 24, 132, 14, 122)(9, 117, 16, 124, 29, 137, 17, 125)(10, 118, 18, 126, 32, 140, 19, 127)(12, 120, 21, 129, 35, 143, 22, 130)(15, 123, 26, 134, 20, 128, 27, 135)(23, 131, 37, 145, 56, 164, 38, 146)(25, 133, 39, 147, 58, 166, 40, 148)(28, 136, 43, 151, 65, 173, 44, 152)(30, 138, 45, 153, 67, 175, 46, 154)(31, 139, 47, 155, 70, 178, 48, 156)(33, 141, 49, 157, 72, 180, 50, 158)(34, 142, 51, 159, 75, 183, 52, 160)(36, 144, 53, 161, 77, 185, 54, 162)(41, 149, 60, 168, 86, 194, 61, 169)(42, 150, 62, 170, 88, 196, 63, 171)(55, 163, 79, 187, 101, 209, 80, 188)(57, 165, 81, 189, 102, 210, 82, 190)(59, 167, 83, 191, 73, 181, 84, 192)(64, 172, 90, 198, 74, 182, 91, 199)(66, 174, 92, 200, 104, 212, 87, 195)(68, 176, 93, 201, 106, 214, 94, 202)(69, 177, 95, 203, 107, 215, 96, 204)(71, 179, 85, 193, 103, 211, 97, 205)(76, 184, 98, 206, 105, 213, 89, 197)(78, 186, 99, 207, 108, 216, 100, 208)
	L = (1, 110)(2, 109)(3, 115)(4, 117)(5, 118)(6, 120)(7, 111)(8, 123)(9, 112)(10, 113)(11, 128)(12, 114)(13, 131)(14, 133)(15, 116)(16, 136)(17, 138)(18, 139)(19, 141)(20, 119)(21, 142)(22, 144)(23, 121)(24, 137)(25, 122)(26, 149)(27, 150)(28, 124)(29, 132)(30, 125)(31, 126)(32, 143)(33, 127)(34, 129)(35, 140)(36, 130)(37, 163)(38, 165)(39, 157)(40, 167)(41, 134)(42, 135)(43, 172)(44, 160)(45, 174)(46, 176)(47, 177)(48, 179)(49, 147)(50, 181)(51, 182)(52, 152)(53, 184)(54, 186)(55, 145)(56, 166)(57, 146)(58, 164)(59, 148)(60, 193)(61, 195)(62, 189)(63, 197)(64, 151)(65, 175)(66, 153)(67, 173)(68, 154)(69, 155)(70, 180)(71, 156)(72, 178)(73, 158)(74, 159)(75, 185)(76, 161)(77, 183)(78, 162)(79, 203)(80, 199)(81, 170)(82, 206)(83, 201)(84, 207)(85, 168)(86, 196)(87, 169)(88, 194)(89, 171)(90, 204)(91, 188)(92, 205)(93, 191)(94, 208)(95, 187)(96, 198)(97, 200)(98, 190)(99, 192)(100, 202)(101, 210)(102, 209)(103, 215)(104, 214)(105, 216)(106, 212)(107, 211)(108, 213)
	local type(s) :: { ( 2, 12, 2, 12, 2, 12, 2, 12 ) }
Outer automorphisms :: reflexible
Dual of E10.821
Transitivity :: ET+ VT+ AT
Graph::
	v = 27 e = 108 f = 63
	degree seq :: [ 8^27 ]

E10.823 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 4, 12})
Quotient :: loop
Aut^+ = ((C3 x C3) : C3) : C4 (small group id <108, 15>)
Aut   = (((C3 x C3) : C3) : C4) : C2 (small group id <216, 87>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, T1^4, (T2^-1 * T1^-1)^2, (T2^-1 * T1)^3, T1^-1 * T2^3 * T1^-1 * T2^-5, T1^-1 * T2^3 * T1^-1 * T2^7, T1^-1 * T2^-1 * T1 * T2^2 * T1 * T2^-1 * T1^-2 * T2^-2 * T1^-1 ]
Map::
	R = (1, 109, 3, 111, 10, 118, 24, 132, 47, 155, 83, 191, 107, 215, 71, 179, 56, 164, 30, 138, 14, 122, 5, 113)(2, 110, 7, 115, 17, 125, 36, 144, 66, 174, 48, 156, 79, 187, 99, 207, 72, 180, 40, 148, 20, 128, 8, 116)(4, 112, 12, 120, 26, 134, 50, 158, 84, 192, 95, 203, 89, 197, 55, 163, 77, 185, 43, 151, 22, 130, 9, 117)(6, 114, 15, 123, 31, 139, 58, 166, 94, 202, 67, 175, 102, 210, 76, 184, 100, 208, 62, 170, 34, 142, 16, 124)(11, 119, 19, 127, 38, 146, 68, 176, 105, 213, 65, 173, 37, 145, 29, 137, 54, 162, 80, 188, 45, 153, 23, 131)(13, 121, 28, 136, 52, 160, 82, 190, 46, 154, 25, 133, 42, 150, 75, 183, 108, 216, 86, 194, 49, 157, 27, 135)(18, 126, 33, 141, 60, 168, 96, 204, 81, 189, 93, 201, 59, 167, 39, 147, 70, 178, 103, 211, 64, 172, 35, 143)(21, 129, 41, 149, 73, 181, 104, 212, 87, 195, 51, 159, 61, 169, 98, 206, 90, 198, 92, 200, 57, 165, 32, 140)(44, 152, 78, 186, 97, 205, 85, 193, 106, 214, 69, 177, 91, 199, 88, 196, 53, 161, 63, 171, 101, 209, 74, 182)
	L = (1, 110)(2, 114)(3, 117)(4, 109)(5, 121)(6, 112)(7, 113)(8, 127)(9, 129)(10, 131)(11, 111)(12, 124)(13, 126)(14, 137)(15, 116)(16, 141)(17, 143)(18, 115)(19, 140)(20, 147)(21, 119)(22, 150)(23, 152)(24, 154)(25, 118)(26, 157)(27, 120)(28, 122)(29, 161)(30, 163)(31, 165)(32, 123)(33, 135)(34, 169)(35, 171)(36, 173)(37, 125)(38, 128)(39, 177)(40, 179)(41, 130)(42, 182)(43, 184)(44, 133)(45, 187)(46, 189)(47, 174)(48, 132)(49, 193)(50, 195)(51, 134)(52, 196)(53, 136)(54, 138)(55, 198)(56, 180)(57, 199)(58, 201)(59, 139)(60, 142)(61, 205)(62, 207)(63, 145)(64, 210)(65, 212)(66, 202)(67, 144)(68, 214)(69, 146)(70, 148)(71, 216)(72, 208)(73, 209)(74, 149)(75, 151)(76, 211)(77, 164)(78, 153)(79, 204)(80, 206)(81, 156)(82, 203)(83, 158)(84, 155)(85, 159)(86, 215)(87, 213)(88, 200)(89, 160)(90, 162)(91, 167)(92, 197)(93, 190)(94, 192)(95, 166)(96, 186)(97, 168)(98, 170)(99, 188)(100, 185)(101, 172)(102, 181)(103, 183)(104, 175)(105, 191)(106, 194)(107, 176)(108, 178)
	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 E10.819
Transitivity :: ET+ VT+ AT
Graph::
	v = 9 e = 108 f = 81
	degree seq :: [ 24^9 ]

E10.824 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 4, 12})
Quotient :: loop
Aut^+ = ((C3 x C3) : C3) : C4 (small group id <108, 15>)
Aut   = (((C3 x C3) : C3) : C4) : C2 (small group id <216, 87>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, (T2 * T1^-1)^4, (T1^2 * T2)^3, T1^-1 * T2 * T1^4 * T2 * T1^-3, T1^12, (T2 * T1 * T2 * T1^-1)^3 ]
Map:: polytopal non-degenerate
	R = (1, 109, 3, 111)(2, 110, 6, 114)(4, 112, 9, 117)(5, 113, 12, 120)(7, 115, 16, 124)(8, 116, 17, 125)(10, 118, 21, 129)(11, 119, 24, 132)(13, 121, 28, 136)(14, 122, 29, 137)(15, 123, 32, 140)(18, 126, 36, 144)(19, 127, 39, 147)(20, 128, 33, 141)(22, 130, 43, 151)(23, 131, 46, 154)(25, 133, 49, 157)(26, 134, 50, 158)(27, 135, 40, 148)(30, 138, 55, 163)(31, 139, 57, 165)(34, 142, 60, 168)(35, 143, 63, 171)(37, 145, 65, 173)(38, 146, 67, 175)(41, 149, 71, 179)(42, 150, 68, 176)(44, 152, 66, 174)(45, 153, 75, 183)(47, 155, 77, 185)(48, 156, 78, 186)(51, 159, 80, 188)(52, 160, 81, 189)(53, 161, 59, 167)(54, 162, 84, 192)(56, 164, 86, 194)(58, 166, 89, 197)(61, 169, 92, 200)(62, 170, 94, 202)(64, 172, 96, 204)(69, 177, 95, 203)(70, 178, 101, 209)(72, 180, 103, 211)(73, 181, 102, 210)(74, 182, 90, 198)(76, 184, 105, 213)(79, 187, 91, 199)(82, 190, 104, 212)(83, 191, 87, 195)(85, 193, 93, 201)(88, 196, 99, 207)(97, 205, 100, 208)(98, 206, 108, 216)(106, 214, 107, 215)
	L = (1, 110)(2, 113)(3, 115)(4, 109)(5, 119)(6, 121)(7, 123)(8, 111)(9, 127)(10, 112)(11, 131)(12, 133)(13, 135)(14, 114)(15, 139)(16, 141)(17, 143)(18, 116)(19, 146)(20, 117)(21, 149)(22, 118)(23, 153)(24, 155)(25, 144)(26, 120)(27, 160)(28, 125)(29, 162)(30, 122)(31, 154)(32, 150)(33, 167)(34, 124)(35, 170)(36, 172)(37, 126)(38, 156)(39, 176)(40, 128)(41, 159)(42, 129)(43, 164)(44, 130)(45, 182)(46, 184)(47, 163)(48, 132)(49, 137)(50, 187)(51, 134)(52, 183)(53, 136)(54, 191)(55, 193)(56, 138)(57, 195)(58, 140)(59, 199)(60, 192)(61, 142)(62, 196)(63, 157)(64, 198)(65, 201)(66, 145)(67, 180)(68, 168)(69, 147)(70, 148)(71, 211)(72, 151)(73, 152)(74, 181)(75, 207)(76, 188)(77, 158)(78, 202)(79, 214)(80, 206)(81, 215)(82, 161)(83, 197)(84, 185)(85, 210)(86, 216)(87, 200)(88, 165)(89, 189)(90, 166)(91, 213)(92, 194)(93, 169)(94, 205)(95, 171)(96, 208)(97, 173)(98, 174)(99, 175)(100, 177)(101, 204)(102, 178)(103, 203)(104, 179)(105, 186)(106, 209)(107, 212)(108, 190)
	local type(s) :: { ( 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E10.820
Transitivity :: ET+ VT+ AT
Graph:: simple bipartite
	v = 54 e = 108 f = 36
	degree seq :: [ 4^54 ]

E10.825 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 12})
Quotient :: dipole
Aut^+ = ((C3 x C3) : C3) : C4 (small group id <108, 15>)
Aut   = (((C3 x C3) : C3) : C4) : C2 (small group id <216, 87>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, (R * Y3)^2, (R * Y1)^2, Y2^4, (R * Y2 * Y3^-1)^2, R * Y2^-2 * R * Y1 * Y2^-2 * Y1, Y2 * R * Y2^2 * R * Y2^-2 * Y1 * Y2, (Y1 * Y2 * Y1 * Y2^-1)^3, Y2 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2 * Y1 * Y2 * Y1, (Y3 * Y2^-1)^12 ]
Map::
	R = (1, 109, 2, 110)(3, 111, 7, 115)(4, 112, 9, 117)(5, 113, 10, 118)(6, 114, 12, 120)(8, 116, 15, 123)(11, 119, 20, 128)(13, 121, 23, 131)(14, 122, 25, 133)(16, 124, 28, 136)(17, 125, 30, 138)(18, 126, 31, 139)(19, 127, 33, 141)(21, 129, 34, 142)(22, 130, 36, 144)(24, 132, 29, 137)(26, 134, 41, 149)(27, 135, 42, 150)(32, 140, 35, 143)(37, 145, 55, 163)(38, 146, 57, 165)(39, 147, 49, 157)(40, 148, 59, 167)(43, 151, 64, 172)(44, 152, 52, 160)(45, 153, 66, 174)(46, 154, 68, 176)(47, 155, 69, 177)(48, 156, 71, 179)(50, 158, 73, 181)(51, 159, 74, 182)(53, 161, 76, 184)(54, 162, 78, 186)(56, 164, 58, 166)(60, 168, 85, 193)(61, 169, 87, 195)(62, 170, 81, 189)(63, 171, 89, 197)(65, 173, 67, 175)(70, 178, 72, 180)(75, 183, 77, 185)(79, 187, 95, 203)(80, 188, 91, 199)(82, 190, 98, 206)(83, 191, 93, 201)(84, 192, 99, 207)(86, 194, 88, 196)(90, 198, 96, 204)(92, 200, 97, 205)(94, 202, 100, 208)(101, 209, 102, 210)(103, 211, 107, 215)(104, 212, 106, 214)(105, 213, 108, 216)(217, 325, 219, 327, 224, 332, 220, 328)(218, 326, 221, 329, 227, 335, 222, 330)(223, 331, 229, 337, 240, 348, 230, 338)(225, 333, 232, 340, 245, 353, 233, 341)(226, 334, 234, 342, 248, 356, 235, 343)(228, 336, 237, 345, 251, 359, 238, 346)(231, 339, 242, 350, 236, 344, 243, 351)(239, 347, 253, 361, 272, 380, 254, 362)(241, 349, 255, 363, 274, 382, 256, 364)(244, 352, 259, 367, 281, 389, 260, 368)(246, 354, 261, 369, 283, 391, 262, 370)(247, 355, 263, 371, 286, 394, 264, 372)(249, 357, 265, 373, 288, 396, 266, 374)(250, 358, 267, 375, 291, 399, 268, 376)(252, 360, 269, 377, 293, 401, 270, 378)(257, 365, 276, 384, 302, 410, 277, 385)(258, 366, 278, 386, 304, 412, 279, 387)(271, 379, 295, 403, 317, 425, 296, 404)(273, 381, 297, 405, 318, 426, 298, 406)(275, 383, 299, 407, 289, 397, 300, 408)(280, 388, 306, 414, 290, 398, 307, 415)(282, 390, 308, 416, 320, 428, 303, 411)(284, 392, 309, 417, 322, 430, 310, 418)(285, 393, 311, 419, 323, 431, 312, 420)(287, 395, 301, 409, 319, 427, 313, 421)(292, 400, 314, 422, 321, 429, 305, 413)(294, 402, 315, 423, 324, 432, 316, 424)
	L = (1, 218)(2, 217)(3, 223)(4, 225)(5, 226)(6, 228)(7, 219)(8, 231)(9, 220)(10, 221)(11, 236)(12, 222)(13, 239)(14, 241)(15, 224)(16, 244)(17, 246)(18, 247)(19, 249)(20, 227)(21, 250)(22, 252)(23, 229)(24, 245)(25, 230)(26, 257)(27, 258)(28, 232)(29, 240)(30, 233)(31, 234)(32, 251)(33, 235)(34, 237)(35, 248)(36, 238)(37, 271)(38, 273)(39, 265)(40, 275)(41, 242)(42, 243)(43, 280)(44, 268)(45, 282)(46, 284)(47, 285)(48, 287)(49, 255)(50, 289)(51, 290)(52, 260)(53, 292)(54, 294)(55, 253)(56, 274)(57, 254)(58, 272)(59, 256)(60, 301)(61, 303)(62, 297)(63, 305)(64, 259)(65, 283)(66, 261)(67, 281)(68, 262)(69, 263)(70, 288)(71, 264)(72, 286)(73, 266)(74, 267)(75, 293)(76, 269)(77, 291)(78, 270)(79, 311)(80, 307)(81, 278)(82, 314)(83, 309)(84, 315)(85, 276)(86, 304)(87, 277)(88, 302)(89, 279)(90, 312)(91, 296)(92, 313)(93, 299)(94, 316)(95, 295)(96, 306)(97, 308)(98, 298)(99, 300)(100, 310)(101, 318)(102, 317)(103, 323)(104, 322)(105, 324)(106, 320)(107, 319)(108, 321)(109, 325)(110, 326)(111, 327)(112, 328)(113, 329)(114, 330)(115, 331)(116, 332)(117, 333)(118, 334)(119, 335)(120, 336)(121, 337)(122, 338)(123, 339)(124, 340)(125, 341)(126, 342)(127, 343)(128, 344)(129, 345)(130, 346)(131, 347)(132, 348)(133, 349)(134, 350)(135, 351)(136, 352)(137, 353)(138, 354)(139, 355)(140, 356)(141, 357)(142, 358)(143, 359)(144, 360)(145, 361)(146, 362)(147, 363)(148, 364)(149, 365)(150, 366)(151, 367)(152, 368)(153, 369)(154, 370)(155, 371)(156, 372)(157, 373)(158, 374)(159, 375)(160, 376)(161, 377)(162, 378)(163, 379)(164, 380)(165, 381)(166, 382)(167, 383)(168, 384)(169, 385)(170, 386)(171, 387)(172, 388)(173, 389)(174, 390)(175, 391)(176, 392)(177, 393)(178, 394)(179, 395)(180, 396)(181, 397)(182, 398)(183, 399)(184, 400)(185, 401)(186, 402)(187, 403)(188, 404)(189, 405)(190, 406)(191, 407)(192, 408)(193, 409)(194, 410)(195, 411)(196, 412)(197, 413)(198, 414)(199, 415)(200, 416)(201, 417)(202, 418)(203, 419)(204, 420)(205, 421)(206, 422)(207, 423)(208, 424)(209, 425)(210, 426)(211, 427)(212, 428)(213, 429)(214, 430)(215, 431)(216, 432)
	local type(s) :: { ( 2, 24, 2, 24 ), ( 2, 24, 2, 24, 2, 24, 2, 24 ) }
Outer automorphisms :: reflexible
Dual of E10.828
Graph:: bipartite
	v = 81 e = 216 f = 117
	degree seq :: [ 4^54, 8^27 ]

E10.826 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 12})
Quotient :: dipole
Aut^+ = ((C3 x C3) : C3) : C4 (small group id <108, 15>)
Aut   = (((C3 x C3) : C3) : C4) : C2 (small group id <216, 87>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y2^-1, R * Y2 * R * Y3, (R * Y1)^2, (Y2^-1 * Y1^-1)^2, Y1^4, (Y3^-1 * Y1^-1)^2, (Y2 * Y1^-1)^3, Y2^3 * Y1^-1 * Y2^-5 * Y1^-1, Y1^-1 * Y2^3 * Y1^-1 * Y2^7, Y1^-1 * Y2^-1 * Y1 * Y2^2 * Y1 * Y2^-1 * Y1^-2 * Y2^-2 * Y1^-1 ]
Map::
	R = (1, 109, 2, 110, 6, 114, 4, 112)(3, 111, 9, 117, 21, 129, 11, 119)(5, 113, 13, 121, 18, 126, 7, 115)(8, 116, 19, 127, 32, 140, 15, 123)(10, 118, 23, 131, 44, 152, 25, 133)(12, 120, 16, 124, 33, 141, 27, 135)(14, 122, 29, 137, 53, 161, 28, 136)(17, 125, 35, 143, 63, 171, 37, 145)(20, 128, 39, 147, 69, 177, 38, 146)(22, 130, 42, 150, 74, 182, 41, 149)(24, 132, 46, 154, 81, 189, 48, 156)(26, 134, 49, 157, 85, 193, 51, 159)(30, 138, 55, 163, 90, 198, 54, 162)(31, 139, 57, 165, 91, 199, 59, 167)(34, 142, 61, 169, 97, 205, 60, 168)(36, 144, 65, 173, 104, 212, 67, 175)(40, 148, 71, 179, 108, 216, 70, 178)(43, 151, 76, 184, 103, 211, 75, 183)(45, 153, 79, 187, 96, 204, 78, 186)(47, 155, 66, 174, 94, 202, 84, 192)(50, 158, 87, 195, 105, 213, 83, 191)(52, 160, 88, 196, 92, 200, 89, 197)(56, 164, 72, 180, 100, 208, 77, 185)(58, 166, 93, 201, 82, 190, 95, 203)(62, 170, 99, 207, 80, 188, 98, 206)(64, 172, 102, 210, 73, 181, 101, 209)(68, 176, 106, 214, 86, 194, 107, 215)(217, 325, 219, 327, 226, 334, 240, 348, 263, 371, 299, 407, 323, 431, 287, 395, 272, 380, 246, 354, 230, 338, 221, 329)(218, 326, 223, 331, 233, 341, 252, 360, 282, 390, 264, 372, 295, 403, 315, 423, 288, 396, 256, 364, 236, 344, 224, 332)(220, 328, 228, 336, 242, 350, 266, 374, 300, 408, 311, 419, 305, 413, 271, 379, 293, 401, 259, 367, 238, 346, 225, 333)(222, 330, 231, 339, 247, 355, 274, 382, 310, 418, 283, 391, 318, 426, 292, 400, 316, 424, 278, 386, 250, 358, 232, 340)(227, 335, 235, 343, 254, 362, 284, 392, 321, 429, 281, 389, 253, 361, 245, 353, 270, 378, 296, 404, 261, 369, 239, 347)(229, 337, 244, 352, 268, 376, 298, 406, 262, 370, 241, 349, 258, 366, 291, 399, 324, 432, 302, 410, 265, 373, 243, 351)(234, 342, 249, 357, 276, 384, 312, 420, 297, 405, 309, 417, 275, 383, 255, 363, 286, 394, 319, 427, 280, 388, 251, 359)(237, 345, 257, 365, 289, 397, 320, 428, 303, 411, 267, 375, 277, 385, 314, 422, 306, 414, 308, 416, 273, 381, 248, 356)(260, 368, 294, 402, 313, 421, 301, 409, 322, 430, 285, 393, 307, 415, 304, 412, 269, 377, 279, 387, 317, 425, 290, 398)
	L = (1, 219)(2, 223)(3, 226)(4, 228)(5, 217)(6, 231)(7, 233)(8, 218)(9, 220)(10, 240)(11, 235)(12, 242)(13, 244)(14, 221)(15, 247)(16, 222)(17, 252)(18, 249)(19, 254)(20, 224)(21, 257)(22, 225)(23, 227)(24, 263)(25, 258)(26, 266)(27, 229)(28, 268)(29, 270)(30, 230)(31, 274)(32, 237)(33, 276)(34, 232)(35, 234)(36, 282)(37, 245)(38, 284)(39, 286)(40, 236)(41, 289)(42, 291)(43, 238)(44, 294)(45, 239)(46, 241)(47, 299)(48, 295)(49, 243)(50, 300)(51, 277)(52, 298)(53, 279)(54, 296)(55, 293)(56, 246)(57, 248)(58, 310)(59, 255)(60, 312)(61, 314)(62, 250)(63, 317)(64, 251)(65, 253)(66, 264)(67, 318)(68, 321)(69, 307)(70, 319)(71, 272)(72, 256)(73, 320)(74, 260)(75, 324)(76, 316)(77, 259)(78, 313)(79, 315)(80, 261)(81, 309)(82, 262)(83, 323)(84, 311)(85, 322)(86, 265)(87, 267)(88, 269)(89, 271)(90, 308)(91, 304)(92, 273)(93, 275)(94, 283)(95, 305)(96, 297)(97, 301)(98, 306)(99, 288)(100, 278)(101, 290)(102, 292)(103, 280)(104, 303)(105, 281)(106, 285)(107, 287)(108, 302)(109, 325)(110, 326)(111, 327)(112, 328)(113, 329)(114, 330)(115, 331)(116, 332)(117, 333)(118, 334)(119, 335)(120, 336)(121, 337)(122, 338)(123, 339)(124, 340)(125, 341)(126, 342)(127, 343)(128, 344)(129, 345)(130, 346)(131, 347)(132, 348)(133, 349)(134, 350)(135, 351)(136, 352)(137, 353)(138, 354)(139, 355)(140, 356)(141, 357)(142, 358)(143, 359)(144, 360)(145, 361)(146, 362)(147, 363)(148, 364)(149, 365)(150, 366)(151, 367)(152, 368)(153, 369)(154, 370)(155, 371)(156, 372)(157, 373)(158, 374)(159, 375)(160, 376)(161, 377)(162, 378)(163, 379)(164, 380)(165, 381)(166, 382)(167, 383)(168, 384)(169, 385)(170, 386)(171, 387)(172, 388)(173, 389)(174, 390)(175, 391)(176, 392)(177, 393)(178, 394)(179, 395)(180, 396)(181, 397)(182, 398)(183, 399)(184, 400)(185, 401)(186, 402)(187, 403)(188, 404)(189, 405)(190, 406)(191, 407)(192, 408)(193, 409)(194, 410)(195, 411)(196, 412)(197, 413)(198, 414)(199, 415)(200, 416)(201, 417)(202, 418)(203, 419)(204, 420)(205, 421)(206, 422)(207, 423)(208, 424)(209, 425)(210, 426)(211, 427)(212, 428)(213, 429)(214, 430)(215, 431)(216, 432)
	local type(s) :: { ( 2, 4, 2, 4, 2, 4, 2, 4 ), ( 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 E10.827
Graph:: bipartite
	v = 36 e = 216 f = 162
	degree seq :: [ 8^27, 24^9 ]

E10.827 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 12})
Quotient :: dipole
Aut^+ = ((C3 x C3) : C3) : C4 (small group id <108, 15>)
Aut   = (((C3 x C3) : C3) : C4) : C2 (small group id <216, 87>)
|r| :: 2
Presentation :: [ Y1, Y2^2, R^2, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, (Y3 * Y2)^4, (Y2 * Y3^-2)^3, Y3^4 * Y2 * Y3^-4 * Y2, (Y3^-1 * Y2 * Y3 * Y2)^3, (Y3^-1 * Y1^-1)^12 ]
Map:: polytopal
	R = (1, 109)(2, 110)(3, 111)(4, 112)(5, 113)(6, 114)(7, 115)(8, 116)(9, 117)(10, 118)(11, 119)(12, 120)(13, 121)(14, 122)(15, 123)(16, 124)(17, 125)(18, 126)(19, 127)(20, 128)(21, 129)(22, 130)(23, 131)(24, 132)(25, 133)(26, 134)(27, 135)(28, 136)(29, 137)(30, 138)(31, 139)(32, 140)(33, 141)(34, 142)(35, 143)(36, 144)(37, 145)(38, 146)(39, 147)(40, 148)(41, 149)(42, 150)(43, 151)(44, 152)(45, 153)(46, 154)(47, 155)(48, 156)(49, 157)(50, 158)(51, 159)(52, 160)(53, 161)(54, 162)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)(217, 325, 218, 326)(219, 327, 223, 331)(220, 328, 225, 333)(221, 329, 227, 335)(222, 330, 229, 337)(224, 332, 233, 341)(226, 334, 237, 345)(228, 336, 241, 349)(230, 338, 245, 353)(231, 339, 244, 352)(232, 340, 248, 356)(234, 342, 252, 360)(235, 343, 254, 362)(236, 344, 239, 347)(238, 346, 259, 367)(240, 348, 262, 370)(242, 350, 265, 373)(243, 351, 267, 375)(246, 354, 271, 379)(247, 355, 256, 364)(249, 357, 276, 384)(250, 358, 275, 383)(251, 359, 278, 386)(253, 361, 266, 374)(255, 363, 285, 393)(257, 365, 287, 395)(258, 366, 283, 391)(260, 368, 272, 380)(261, 369, 269, 377)(263, 371, 292, 400)(264, 372, 294, 402)(268, 376, 300, 408)(270, 378, 302, 410)(273, 381, 305, 413)(274, 382, 291, 399)(277, 385, 309, 417)(279, 387, 312, 420)(280, 388, 311, 419)(281, 389, 313, 421)(282, 390, 306, 414)(284, 392, 299, 407)(286, 394, 317, 425)(288, 396, 319, 427)(289, 397, 318, 426)(290, 398, 310, 418)(293, 401, 308, 416)(295, 403, 314, 422)(296, 404, 307, 415)(297, 405, 316, 424)(298, 406, 321, 429)(301, 409, 320, 428)(303, 411, 315, 423)(304, 412, 322, 430)(323, 431, 324, 432)
	L = (1, 219)(2, 221)(3, 224)(4, 217)(5, 228)(6, 218)(7, 231)(8, 234)(9, 235)(10, 220)(11, 239)(12, 242)(13, 243)(14, 222)(15, 247)(16, 223)(17, 250)(18, 253)(19, 255)(20, 225)(21, 257)(22, 226)(23, 261)(24, 227)(25, 258)(26, 266)(27, 268)(28, 229)(29, 270)(30, 230)(31, 273)(32, 274)(33, 232)(34, 245)(35, 233)(36, 280)(37, 282)(38, 283)(39, 281)(40, 236)(41, 279)(42, 237)(43, 277)(44, 238)(45, 290)(46, 291)(47, 240)(48, 241)(49, 296)(50, 298)(51, 275)(52, 297)(53, 244)(54, 295)(55, 293)(56, 246)(57, 306)(58, 307)(59, 248)(60, 308)(61, 249)(62, 310)(63, 251)(64, 276)(65, 252)(66, 314)(67, 262)(68, 254)(69, 288)(70, 256)(71, 319)(72, 259)(73, 260)(74, 321)(75, 311)(76, 309)(77, 263)(78, 305)(79, 264)(80, 292)(81, 265)(82, 312)(83, 267)(84, 303)(85, 269)(86, 315)(87, 271)(88, 272)(89, 323)(90, 316)(91, 294)(92, 318)(93, 322)(94, 324)(95, 278)(96, 304)(97, 300)(98, 289)(99, 284)(100, 285)(101, 302)(102, 286)(103, 299)(104, 287)(105, 313)(106, 301)(107, 320)(108, 317)(109, 325)(110, 326)(111, 327)(112, 328)(113, 329)(114, 330)(115, 331)(116, 332)(117, 333)(118, 334)(119, 335)(120, 336)(121, 337)(122, 338)(123, 339)(124, 340)(125, 341)(126, 342)(127, 343)(128, 344)(129, 345)(130, 346)(131, 347)(132, 348)(133, 349)(134, 350)(135, 351)(136, 352)(137, 353)(138, 354)(139, 355)(140, 356)(141, 357)(142, 358)(143, 359)(144, 360)(145, 361)(146, 362)(147, 363)(148, 364)(149, 365)(150, 366)(151, 367)(152, 368)(153, 369)(154, 370)(155, 371)(156, 372)(157, 373)(158, 374)(159, 375)(160, 376)(161, 377)(162, 378)(163, 379)(164, 380)(165, 381)(166, 382)(167, 383)(168, 384)(169, 385)(170, 386)(171, 387)(172, 388)(173, 389)(174, 390)(175, 391)(176, 392)(177, 393)(178, 394)(179, 395)(180, 396)(181, 397)(182, 398)(183, 399)(184, 400)(185, 401)(186, 402)(187, 403)(188, 404)(189, 405)(190, 406)(191, 407)(192, 408)(193, 409)(194, 410)(195, 411)(196, 412)(197, 413)(198, 414)(199, 415)(200, 416)(201, 417)(202, 418)(203, 419)(204, 420)(205, 421)(206, 422)(207, 423)(208, 424)(209, 425)(210, 426)(211, 427)(212, 428)(213, 429)(214, 430)(215, 431)(216, 432)
	local type(s) :: { ( 8, 24 ), ( 8, 24, 8, 24 ) }
Outer automorphisms :: reflexible
Dual of E10.826
Graph:: simple bipartite
	v = 162 e = 216 f = 36
	degree seq :: [ 2^108, 4^54 ]

E10.828 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 12})
Quotient :: dipole
Aut^+ = ((C3 x C3) : C3) : C4 (small group id <108, 15>)
Aut   = (((C3 x C3) : C3) : C4) : C2 (small group id <216, 87>)
|r| :: 2
Presentation :: [ Y2, R^2, Y3^2, R * Y2 * R * Y2^-1, (R * Y1)^2, (R * Y3)^2, (Y3 * Y2^-1)^2, (Y3 * Y1^-1)^4, (Y1^2 * Y3)^3, Y3 * Y1^4 * Y3 * Y1^-4, Y1^12, (Y3 * Y1 * Y3 * Y1^-1)^3 ]
Map:: polytopal
	R = (1, 109, 2, 110, 5, 113, 11, 119, 23, 131, 45, 153, 74, 182, 73, 181, 44, 152, 22, 130, 10, 118, 4, 112)(3, 111, 7, 115, 15, 123, 31, 139, 46, 154, 76, 184, 80, 188, 98, 206, 66, 174, 37, 145, 18, 126, 8, 116)(6, 114, 13, 121, 27, 135, 52, 160, 75, 183, 99, 207, 67, 175, 72, 180, 43, 151, 56, 164, 30, 138, 14, 122)(9, 117, 19, 127, 38, 146, 48, 156, 24, 132, 47, 155, 55, 163, 85, 193, 102, 210, 70, 178, 40, 148, 20, 128)(12, 120, 25, 133, 36, 144, 64, 172, 90, 198, 58, 166, 32, 140, 42, 150, 21, 129, 41, 149, 51, 159, 26, 134)(16, 124, 33, 141, 59, 167, 91, 199, 105, 213, 78, 186, 94, 202, 97, 205, 65, 173, 93, 201, 61, 169, 34, 142)(17, 125, 35, 143, 62, 170, 88, 196, 57, 165, 87, 195, 92, 200, 86, 194, 108, 216, 82, 190, 53, 161, 28, 136)(29, 137, 54, 162, 83, 191, 89, 197, 81, 189, 107, 215, 104, 212, 71, 179, 103, 211, 95, 203, 63, 171, 49, 157)(39, 147, 68, 176, 60, 168, 84, 192, 77, 185, 50, 158, 79, 187, 106, 214, 101, 209, 96, 204, 100, 208, 69, 177)(217, 325)(218, 326)(219, 327)(220, 328)(221, 329)(222, 330)(223, 331)(224, 332)(225, 333)(226, 334)(227, 335)(228, 336)(229, 337)(230, 338)(231, 339)(232, 340)(233, 341)(234, 342)(235, 343)(236, 344)(237, 345)(238, 346)(239, 347)(240, 348)(241, 349)(242, 350)(243, 351)(244, 352)(245, 353)(246, 354)(247, 355)(248, 356)(249, 357)(250, 358)(251, 359)(252, 360)(253, 361)(254, 362)(255, 363)(256, 364)(257, 365)(258, 366)(259, 367)(260, 368)(261, 369)(262, 370)(263, 371)(264, 372)(265, 373)(266, 374)(267, 375)(268, 376)(269, 377)(270, 378)(271, 379)(272, 380)(273, 381)(274, 382)(275, 383)(276, 384)(277, 385)(278, 386)(279, 387)(280, 388)(281, 389)(282, 390)(283, 391)(284, 392)(285, 393)(286, 394)(287, 395)(288, 396)(289, 397)(290, 398)(291, 399)(292, 400)(293, 401)(294, 402)(295, 403)(296, 404)(297, 405)(298, 406)(299, 407)(300, 408)(301, 409)(302, 410)(303, 411)(304, 412)(305, 413)(306, 414)(307, 415)(308, 416)(309, 417)(310, 418)(311, 419)(312, 420)(313, 421)(314, 422)(315, 423)(316, 424)(317, 425)(318, 426)(319, 427)(320, 428)(321, 429)(322, 430)(323, 431)(324, 432)
	L = (1, 219)(2, 222)(3, 217)(4, 225)(5, 228)(6, 218)(7, 232)(8, 233)(9, 220)(10, 237)(11, 240)(12, 221)(13, 244)(14, 245)(15, 248)(16, 223)(17, 224)(18, 252)(19, 255)(20, 249)(21, 226)(22, 259)(23, 262)(24, 227)(25, 265)(26, 266)(27, 256)(28, 229)(29, 230)(30, 271)(31, 273)(32, 231)(33, 236)(34, 276)(35, 279)(36, 234)(37, 281)(38, 283)(39, 235)(40, 243)(41, 287)(42, 284)(43, 238)(44, 282)(45, 291)(46, 239)(47, 293)(48, 294)(49, 241)(50, 242)(51, 296)(52, 297)(53, 275)(54, 300)(55, 246)(56, 302)(57, 247)(58, 305)(59, 269)(60, 250)(61, 308)(62, 310)(63, 251)(64, 312)(65, 253)(66, 260)(67, 254)(68, 258)(69, 311)(70, 317)(71, 257)(72, 319)(73, 318)(74, 306)(75, 261)(76, 321)(77, 263)(78, 264)(79, 307)(80, 267)(81, 268)(82, 320)(83, 303)(84, 270)(85, 309)(86, 272)(87, 299)(88, 315)(89, 274)(90, 290)(91, 295)(92, 277)(93, 301)(94, 278)(95, 285)(96, 280)(97, 316)(98, 324)(99, 304)(100, 313)(101, 286)(102, 289)(103, 288)(104, 298)(105, 292)(106, 323)(107, 322)(108, 314)(109, 325)(110, 326)(111, 327)(112, 328)(113, 329)(114, 330)(115, 331)(116, 332)(117, 333)(118, 334)(119, 335)(120, 336)(121, 337)(122, 338)(123, 339)(124, 340)(125, 341)(126, 342)(127, 343)(128, 344)(129, 345)(130, 346)(131, 347)(132, 348)(133, 349)(134, 350)(135, 351)(136, 352)(137, 353)(138, 354)(139, 355)(140, 356)(141, 357)(142, 358)(143, 359)(144, 360)(145, 361)(146, 362)(147, 363)(148, 364)(149, 365)(150, 366)(151, 367)(152, 368)(153, 369)(154, 370)(155, 371)(156, 372)(157, 373)(158, 374)(159, 375)(160, 376)(161, 377)(162, 378)(163, 379)(164, 380)(165, 381)(166, 382)(167, 383)(168, 384)(169, 385)(170, 386)(171, 387)(172, 388)(173, 389)(174, 390)(175, 391)(176, 392)(177, 393)(178, 394)(179, 395)(180, 396)(181, 397)(182, 398)(183, 399)(184, 400)(185, 401)(186, 402)(187, 403)(188, 404)(189, 405)(190, 406)(191, 407)(192, 408)(193, 409)(194, 410)(195, 411)(196, 412)(197, 413)(198, 414)(199, 415)(200, 416)(201, 417)(202, 418)(203, 419)(204, 420)(205, 421)(206, 422)(207, 423)(208, 424)(209, 425)(210, 426)(211, 427)(212, 428)(213, 429)(214, 430)(215, 431)(216, 432)
	local type(s) :: { ( 4, 8 ), ( 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 E10.825
Graph:: simple bipartite
	v = 117 e = 216 f = 81
	degree seq :: [ 2^108, 24^9 ]

E10.829 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 12})
Quotient :: dipole
Aut^+ = ((C3 x C3) : C3) : C4 (small group id <108, 15>)
Aut   = (((C3 x C3) : C3) : C4) : C2 (small group id <216, 87>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, (Y1 * Y2^-1)^4, (Y3 * Y2^-1)^4, (Y1 * Y2^-2)^3, Y2^-3 * Y1 * Y2^4 * Y1 * Y2^-1, (Y2^-1 * R * Y2^-3)^2, Y2^12, (Y2^-1 * Y1 * Y2 * Y1)^3 ]
Map::
	R = (1, 109, 2, 110)(3, 111, 7, 115)(4, 112, 9, 117)(5, 113, 11, 119)(6, 114, 13, 121)(8, 116, 17, 125)(10, 118, 21, 129)(12, 120, 25, 133)(14, 122, 29, 137)(15, 123, 28, 136)(16, 124, 32, 140)(18, 126, 36, 144)(19, 127, 38, 146)(20, 128, 23, 131)(22, 130, 43, 151)(24, 132, 46, 154)(26, 134, 49, 157)(27, 135, 51, 159)(30, 138, 55, 163)(31, 139, 40, 148)(33, 141, 60, 168)(34, 142, 59, 167)(35, 143, 62, 170)(37, 145, 50, 158)(39, 147, 69, 177)(41, 149, 71, 179)(42, 150, 67, 175)(44, 152, 56, 164)(45, 153, 53, 161)(47, 155, 76, 184)(48, 156, 78, 186)(52, 160, 84, 192)(54, 162, 86, 194)(57, 165, 89, 197)(58, 166, 75, 183)(61, 169, 93, 201)(63, 171, 96, 204)(64, 172, 95, 203)(65, 173, 97, 205)(66, 174, 90, 198)(68, 176, 83, 191)(70, 178, 101, 209)(72, 180, 103, 211)(73, 181, 102, 210)(74, 182, 94, 202)(77, 185, 92, 200)(79, 187, 98, 206)(80, 188, 91, 199)(81, 189, 100, 208)(82, 190, 105, 213)(85, 193, 104, 212)(87, 195, 99, 207)(88, 196, 106, 214)(107, 215, 108, 216)(217, 325, 219, 327, 224, 332, 234, 342, 253, 361, 282, 390, 314, 422, 289, 397, 260, 368, 238, 346, 226, 334, 220, 328)(218, 326, 221, 329, 228, 336, 242, 350, 266, 374, 298, 406, 312, 420, 304, 412, 272, 380, 246, 354, 230, 338, 222, 330)(223, 331, 231, 339, 247, 355, 273, 381, 306, 414, 316, 424, 285, 393, 288, 396, 259, 367, 277, 385, 249, 357, 232, 340)(225, 333, 235, 343, 255, 363, 281, 389, 252, 360, 280, 388, 276, 384, 308, 416, 318, 426, 286, 394, 256, 364, 236, 344)(227, 335, 239, 347, 261, 369, 290, 398, 321, 429, 313, 421, 300, 408, 303, 411, 271, 379, 293, 401, 263, 371, 240, 348)(229, 337, 243, 351, 268, 376, 297, 405, 265, 373, 296, 404, 292, 400, 309, 417, 322, 430, 301, 409, 269, 377, 244, 352)(233, 341, 250, 358, 245, 353, 270, 378, 295, 403, 264, 372, 241, 349, 258, 366, 237, 345, 257, 365, 279, 387, 251, 359)(248, 356, 274, 382, 307, 415, 294, 402, 305, 413, 323, 431, 320, 428, 287, 395, 319, 427, 299, 407, 267, 375, 275, 383)(254, 362, 283, 391, 262, 370, 291, 399, 311, 419, 278, 386, 310, 418, 324, 432, 317, 425, 302, 410, 315, 423, 284, 392)
	L = (1, 218)(2, 217)(3, 223)(4, 225)(5, 227)(6, 229)(7, 219)(8, 233)(9, 220)(10, 237)(11, 221)(12, 241)(13, 222)(14, 245)(15, 244)(16, 248)(17, 224)(18, 252)(19, 254)(20, 239)(21, 226)(22, 259)(23, 236)(24, 262)(25, 228)(26, 265)(27, 267)(28, 231)(29, 230)(30, 271)(31, 256)(32, 232)(33, 276)(34, 275)(35, 278)(36, 234)(37, 266)(38, 235)(39, 285)(40, 247)(41, 287)(42, 283)(43, 238)(44, 272)(45, 269)(46, 240)(47, 292)(48, 294)(49, 242)(50, 253)(51, 243)(52, 300)(53, 261)(54, 302)(55, 246)(56, 260)(57, 305)(58, 291)(59, 250)(60, 249)(61, 309)(62, 251)(63, 312)(64, 311)(65, 313)(66, 306)(67, 258)(68, 299)(69, 255)(70, 317)(71, 257)(72, 319)(73, 318)(74, 310)(75, 274)(76, 263)(77, 308)(78, 264)(79, 314)(80, 307)(81, 316)(82, 321)(83, 284)(84, 268)(85, 320)(86, 270)(87, 315)(88, 322)(89, 273)(90, 282)(91, 296)(92, 293)(93, 277)(94, 290)(95, 280)(96, 279)(97, 281)(98, 295)(99, 303)(100, 297)(101, 286)(102, 289)(103, 288)(104, 301)(105, 298)(106, 304)(107, 324)(108, 323)(109, 325)(110, 326)(111, 327)(112, 328)(113, 329)(114, 330)(115, 331)(116, 332)(117, 333)(118, 334)(119, 335)(120, 336)(121, 337)(122, 338)(123, 339)(124, 340)(125, 341)(126, 342)(127, 343)(128, 344)(129, 345)(130, 346)(131, 347)(132, 348)(133, 349)(134, 350)(135, 351)(136, 352)(137, 353)(138, 354)(139, 355)(140, 356)(141, 357)(142, 358)(143, 359)(144, 360)(145, 361)(146, 362)(147, 363)(148, 364)(149, 365)(150, 366)(151, 367)(152, 368)(153, 369)(154, 370)(155, 371)(156, 372)(157, 373)(158, 374)(159, 375)(160, 376)(161, 377)(162, 378)(163, 379)(164, 380)(165, 381)(166, 382)(167, 383)(168, 384)(169, 385)(170, 386)(171, 387)(172, 388)(173, 389)(174, 390)(175, 391)(176, 392)(177, 393)(178, 394)(179, 395)(180, 396)(181, 397)(182, 398)(183, 399)(184, 400)(185, 401)(186, 402)(187, 403)(188, 404)(189, 405)(190, 406)(191, 407)(192, 408)(193, 409)(194, 410)(195, 411)(196, 412)(197, 413)(198, 414)(199, 415)(200, 416)(201, 417)(202, 418)(203, 419)(204, 420)(205, 421)(206, 422)(207, 423)(208, 424)(209, 425)(210, 426)(211, 427)(212, 428)(213, 429)(214, 430)(215, 431)(216, 432)
	local type(s) :: { ( 2, 8, 2, 8 ), ( 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 E10.830
Graph:: bipartite
	v = 63 e = 216 f = 135
	degree seq :: [ 4^54, 24^9 ]

E10.830 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 12})
Quotient :: dipole
Aut^+ = ((C3 x C3) : C3) : C4 (small group id <108, 15>)
Aut   = (((C3 x C3) : C3) : C4) : C2 (small group id <216, 87>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y3)^2, (R * Y1)^2, Y1^4, (Y3^-1 * Y1^-1)^2, (R * Y2 * Y3^-1)^2, (Y3^-1 * Y1)^3, Y3^-3 * Y1^-1 * Y3^3 * Y1^-1 * Y3^-2, Y1^-1 * Y3^-1 * Y1 * Y3^2 * Y1 * Y3^-1 * Y1^-2 * Y3^-2 * Y1^-1, (Y3 * Y2^-1)^12 ]
Map:: polytopal
	R = (1, 109, 2, 110, 6, 114, 4, 112)(3, 111, 9, 117, 21, 129, 11, 119)(5, 113, 13, 121, 18, 126, 7, 115)(8, 116, 19, 127, 32, 140, 15, 123)(10, 118, 23, 131, 44, 152, 25, 133)(12, 120, 16, 124, 33, 141, 27, 135)(14, 122, 29, 137, 53, 161, 28, 136)(17, 125, 35, 143, 63, 171, 37, 145)(20, 128, 39, 147, 69, 177, 38, 146)(22, 130, 42, 150, 74, 182, 41, 149)(24, 132, 46, 154, 81, 189, 48, 156)(26, 134, 49, 157, 85, 193, 51, 159)(30, 138, 55, 163, 90, 198, 54, 162)(31, 139, 57, 165, 91, 199, 59, 167)(34, 142, 61, 169, 97, 205, 60, 168)(36, 144, 65, 173, 104, 212, 67, 175)(40, 148, 71, 179, 108, 216, 70, 178)(43, 151, 76, 184, 103, 211, 75, 183)(45, 153, 79, 187, 96, 204, 78, 186)(47, 155, 66, 174, 94, 202, 84, 192)(50, 158, 87, 195, 105, 213, 83, 191)(52, 160, 88, 196, 92, 200, 89, 197)(56, 164, 72, 180, 100, 208, 77, 185)(58, 166, 93, 201, 82, 190, 95, 203)(62, 170, 99, 207, 80, 188, 98, 206)(64, 172, 102, 210, 73, 181, 101, 209)(68, 176, 106, 214, 86, 194, 107, 215)(217, 325)(218, 326)(219, 327)(220, 328)(221, 329)(222, 330)(223, 331)(224, 332)(225, 333)(226, 334)(227, 335)(228, 336)(229, 337)(230, 338)(231, 339)(232, 340)(233, 341)(234, 342)(235, 343)(236, 344)(237, 345)(238, 346)(239, 347)(240, 348)(241, 349)(242, 350)(243, 351)(244, 352)(245, 353)(246, 354)(247, 355)(248, 356)(249, 357)(250, 358)(251, 359)(252, 360)(253, 361)(254, 362)(255, 363)(256, 364)(257, 365)(258, 366)(259, 367)(260, 368)(261, 369)(262, 370)(263, 371)(264, 372)(265, 373)(266, 374)(267, 375)(268, 376)(269, 377)(270, 378)(271, 379)(272, 380)(273, 381)(274, 382)(275, 383)(276, 384)(277, 385)(278, 386)(279, 387)(280, 388)(281, 389)(282, 390)(283, 391)(284, 392)(285, 393)(286, 394)(287, 395)(288, 396)(289, 397)(290, 398)(291, 399)(292, 400)(293, 401)(294, 402)(295, 403)(296, 404)(297, 405)(298, 406)(299, 407)(300, 408)(301, 409)(302, 410)(303, 411)(304, 412)(305, 413)(306, 414)(307, 415)(308, 416)(309, 417)(310, 418)(311, 419)(312, 420)(313, 421)(314, 422)(315, 423)(316, 424)(317, 425)(318, 426)(319, 427)(320, 428)(321, 429)(322, 430)(323, 431)(324, 432)
	L = (1, 219)(2, 223)(3, 226)(4, 228)(5, 217)(6, 231)(7, 233)(8, 218)(9, 220)(10, 240)(11, 235)(12, 242)(13, 244)(14, 221)(15, 247)(16, 222)(17, 252)(18, 249)(19, 254)(20, 224)(21, 257)(22, 225)(23, 227)(24, 263)(25, 258)(26, 266)(27, 229)(28, 268)(29, 270)(30, 230)(31, 274)(32, 237)(33, 276)(34, 232)(35, 234)(36, 282)(37, 245)(38, 284)(39, 286)(40, 236)(41, 289)(42, 291)(43, 238)(44, 294)(45, 239)(46, 241)(47, 299)(48, 295)(49, 243)(50, 300)(51, 277)(52, 298)(53, 279)(54, 296)(55, 293)(56, 246)(57, 248)(58, 310)(59, 255)(60, 312)(61, 314)(62, 250)(63, 317)(64, 251)(65, 253)(66, 264)(67, 318)(68, 321)(69, 307)(70, 319)(71, 272)(72, 256)(73, 320)(74, 260)(75, 324)(76, 316)(77, 259)(78, 313)(79, 315)(80, 261)(81, 309)(82, 262)(83, 323)(84, 311)(85, 322)(86, 265)(87, 267)(88, 269)(89, 271)(90, 308)(91, 304)(92, 273)(93, 275)(94, 283)(95, 305)(96, 297)(97, 301)(98, 306)(99, 288)(100, 278)(101, 290)(102, 292)(103, 280)(104, 303)(105, 281)(106, 285)(107, 287)(108, 302)(109, 325)(110, 326)(111, 327)(112, 328)(113, 329)(114, 330)(115, 331)(116, 332)(117, 333)(118, 334)(119, 335)(120, 336)(121, 337)(122, 338)(123, 339)(124, 340)(125, 341)(126, 342)(127, 343)(128, 344)(129, 345)(130, 346)(131, 347)(132, 348)(133, 349)(134, 350)(135, 351)(136, 352)(137, 353)(138, 354)(139, 355)(140, 356)(141, 357)(142, 358)(143, 359)(144, 360)(145, 361)(146, 362)(147, 363)(148, 364)(149, 365)(150, 366)(151, 367)(152, 368)(153, 369)(154, 370)(155, 371)(156, 372)(157, 373)(158, 374)(159, 375)(160, 376)(161, 377)(162, 378)(163, 379)(164, 380)(165, 381)(166, 382)(167, 383)(168, 384)(169, 385)(170, 386)(171, 387)(172, 388)(173, 389)(174, 390)(175, 391)(176, 392)(177, 393)(178, 394)(179, 395)(180, 396)(181, 397)(182, 398)(183, 399)(184, 400)(185, 401)(186, 402)(187, 403)(188, 404)(189, 405)(190, 406)(191, 407)(192, 408)(193, 409)(194, 410)(195, 411)(196, 412)(197, 413)(198, 414)(199, 415)(200, 416)(201, 417)(202, 418)(203, 419)(204, 420)(205, 421)(206, 422)(207, 423)(208, 424)(209, 425)(210, 426)(211, 427)(212, 428)(213, 429)(214, 430)(215, 431)(216, 432)
	local type(s) :: { ( 4, 24 ), ( 4, 24, 4, 24, 4, 24, 4, 24 ) }
Outer automorphisms :: reflexible
Dual of E10.829
Graph:: simple bipartite
	v = 135 e = 216 f = 63
	degree seq :: [ 2^108, 8^27 ]

E10.831 :: Family: { 2Pex } :: Oriented family(ies): { E1a }
Signature :: (0; {2, 4, 8})
Quotient :: halfedge
Aut^+ = ((C3 x C3) : C8) : C2 (small group id <144, 182>)
Aut   = ((C3 x C3) : C8) : C2 (small group id <144, 182>)
|r| :: 1
Presentation :: [ X2^2, X1^8, (X1^-1 * X2)^4, X2 * X1 * X2 * X1^-2 * X2 * X1^-2 * X2 * X1^-3, (X2 * X1^2 * X2 * X1^-2)^2 ]
Map:: polyhedral non-degenerate
	R = (1, 2, 5, 11, 23, 22, 10, 4)(3, 7, 15, 31, 57, 37, 18, 8)(6, 13, 27, 51, 92, 56, 30, 14)(9, 19, 38, 69, 117, 74, 40, 20)(12, 25, 47, 86, 132, 91, 50, 26)(16, 33, 61, 107, 144, 102, 63, 34)(17, 35, 64, 110, 137, 97, 53, 28)(21, 41, 75, 99, 142, 106, 77, 42)(24, 45, 82, 128, 111, 131, 85, 46)(29, 54, 98, 73, 121, 135, 88, 48)(32, 59, 104, 126, 93, 136, 90, 60)(36, 66, 114, 129, 83, 49, 89, 67)(39, 71, 119, 138, 116, 68, 87, 72)(43, 78, 113, 65, 112, 143, 123, 79)(44, 80, 124, 108, 141, 115, 127, 81)(52, 94, 76, 122, 133, 103, 130, 95)(55, 100, 70, 118, 125, 84, 58, 101)(62, 109, 139, 96, 140, 120, 134, 105)
	L = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 17)(10, 21)(11, 24)(13, 28)(14, 29)(15, 32)(18, 36)(19, 39)(20, 33)(22, 43)(23, 44)(25, 48)(26, 49)(27, 52)(30, 55)(31, 58)(34, 62)(35, 65)(37, 68)(38, 70)(40, 73)(41, 76)(42, 71)(45, 83)(46, 84)(47, 87)(50, 90)(51, 93)(53, 96)(54, 99)(56, 102)(57, 103)(59, 105)(60, 106)(61, 108)(63, 82)(64, 111)(66, 115)(67, 112)(69, 89)(72, 120)(74, 95)(75, 114)(77, 110)(78, 104)(79, 122)(80, 125)(81, 126)(85, 130)(86, 133)(88, 134)(91, 137)(92, 138)(94, 139)(97, 124)(98, 141)(100, 143)(101, 142)(107, 132)(109, 129)(113, 135)(116, 127)(117, 136)(118, 140)(119, 128)(121, 131)(123, 144)
	local type(s) :: { ( 4^8 ) }
Outer automorphisms :: chiral
Transitivity :: ET+ VT+ AT+ REG+
Graph:: simple bipartite
	v = 18 e = 72 f = 36
	degree seq :: [ 8^18 ]

E10.832 :: Family: { 2Pex } :: Oriented family(ies): { E1a }
Signature :: (0; {2, 4, 8})
Quotient :: halfedge
Aut^+ = ((C3 x C3) : C8) : C2 (small group id <144, 182>)
Aut   = ((C3 x C3) : C8) : C2 (small group id <144, 182>)
|r| :: 1
Presentation :: [ X2^2, X1^4, (X2 * X1 * X2 * X1^-2 * X2 * X1^-1)^2, X1^-1 * X2 * X1^-2 * X2 * X1^-1 * X2 * X1^-1 * X2 * X1 * X2 * X1^-1 * X2 * X1^-1, (X1^-1 * X2)^8 ]
Map:: polyhedral non-degenerate
	R = (1, 2, 5, 4)(3, 7, 13, 8)(6, 11, 20, 12)(9, 16, 28, 17)(10, 18, 31, 19)(14, 24, 41, 25)(15, 26, 44, 27)(21, 35, 59, 36)(22, 37, 62, 38)(23, 39, 65, 40)(29, 48, 80, 49)(30, 50, 83, 51)(32, 53, 88, 54)(33, 55, 91, 56)(34, 57, 94, 58)(42, 69, 102, 70)(43, 71, 97, 72)(45, 74, 92, 75)(46, 76, 116, 77)(47, 78, 115, 79)(52, 86, 120, 87)(60, 98, 125, 99)(61, 100, 121, 101)(63, 103, 84, 104)(64, 105, 131, 106)(66, 107, 126, 93)(67, 108, 124, 90)(68, 109, 82, 96)(73, 113, 81, 114)(85, 95, 127, 119)(89, 122, 118, 123)(110, 135, 141, 129)(111, 136, 142, 130)(112, 137, 139, 132)(117, 134, 140, 128)(133, 144, 138, 143)
	L = (1, 3)(2, 6)(4, 9)(5, 10)(7, 14)(8, 15)(11, 21)(12, 22)(13, 23)(16, 29)(17, 30)(18, 32)(19, 33)(20, 34)(24, 42)(25, 43)(26, 45)(27, 46)(28, 47)(31, 52)(35, 60)(36, 61)(37, 63)(38, 64)(39, 66)(40, 67)(41, 68)(44, 73)(48, 81)(49, 82)(50, 84)(51, 85)(53, 89)(54, 90)(55, 92)(56, 93)(57, 95)(58, 96)(59, 97)(62, 102)(65, 103)(69, 110)(70, 111)(71, 87)(72, 112)(74, 115)(75, 94)(76, 86)(77, 117)(78, 105)(79, 100)(80, 108)(83, 118)(88, 121)(91, 125)(98, 128)(99, 129)(101, 130)(104, 120)(106, 132)(107, 133)(109, 134)(113, 137)(114, 136)(116, 138)(119, 135)(122, 139)(123, 140)(124, 141)(126, 142)(127, 143)(131, 144)
	local type(s) :: { ( 8^4 ) }
Outer automorphisms :: chiral
Transitivity :: ET+ VT+ AT+ REG+
Graph:: simple bipartite
	v = 36 e = 72 f = 18
	degree seq :: [ 4^36 ]

E10.833 :: Family: { 5 } :: Oriented family(ies): { E3a }
Signature :: (0; {2, 4, 8})
Quotient :: edge
Aut^+ = ((C3 x C3) : C8) : C2 (small group id <144, 182>)
Aut   = ((C3 x C3) : C8) : C2 (small group id <144, 182>)
|r| :: 1
Presentation :: [ X1^2, X2^4, (X2 * X1 * X2^-2 * X1 * X2^-1 * X1)^2, X2^-1 * X1 * X2^-2 * X1 * X2^-1 * X1 * X2^-1 * X1 * X2 * X1 * X2^-1 * X1 * X2^-1, (X2^-1 * X1)^8 ]
Map:: polytopal
	R = (1, 2)(3, 7)(4, 9)(5, 10)(6, 12)(8, 15)(11, 20)(13, 23)(14, 25)(16, 28)(17, 30)(18, 31)(19, 33)(21, 36)(22, 38)(24, 41)(26, 44)(27, 46)(29, 49)(32, 54)(34, 57)(35, 59)(37, 62)(39, 65)(40, 67)(42, 70)(43, 72)(45, 75)(47, 78)(48, 80)(50, 83)(51, 85)(52, 86)(53, 88)(55, 91)(56, 93)(58, 96)(60, 99)(61, 101)(63, 104)(64, 106)(66, 92)(68, 111)(69, 90)(71, 87)(73, 115)(74, 98)(76, 100)(77, 95)(79, 97)(81, 113)(82, 109)(84, 118)(89, 124)(94, 128)(102, 126)(103, 122)(105, 131)(107, 132)(108, 121)(110, 123)(112, 125)(114, 127)(116, 134)(117, 133)(119, 120)(129, 140)(130, 139)(135, 144)(136, 143)(137, 142)(138, 141)(145, 147, 152, 148)(146, 149, 155, 150)(151, 157, 168, 158)(153, 160, 173, 161)(154, 162, 176, 163)(156, 165, 181, 166)(159, 170, 189, 171)(164, 178, 202, 179)(167, 183, 210, 184)(169, 186, 215, 187)(172, 191, 223, 192)(174, 194, 228, 195)(175, 196, 231, 197)(177, 199, 236, 200)(180, 204, 244, 205)(182, 207, 249, 208)(185, 212, 245, 213)(188, 217, 260, 218)(190, 220, 261, 221)(193, 225, 243, 226)(198, 233, 224, 234)(201, 238, 273, 239)(203, 241, 274, 242)(206, 246, 222, 247)(209, 251, 277, 252)(211, 253, 278, 254)(214, 240, 227, 256)(216, 257, 280, 258)(219, 248, 269, 235)(229, 255, 279, 263)(230, 264, 283, 265)(232, 266, 284, 267)(237, 270, 286, 271)(250, 268, 285, 276)(259, 281, 262, 282)(272, 287, 275, 288)
	L = (1, 145)(2, 146)(3, 147)(4, 148)(5, 149)(6, 150)(7, 151)(8, 152)(9, 153)(10, 154)(11, 155)(12, 156)(13, 157)(14, 158)(15, 159)(16, 160)(17, 161)(18, 162)(19, 163)(20, 164)(21, 165)(22, 166)(23, 167)(24, 168)(25, 169)(26, 170)(27, 171)(28, 172)(29, 173)(30, 174)(31, 175)(32, 176)(33, 177)(34, 178)(35, 179)(36, 180)(37, 181)(38, 182)(39, 183)(40, 184)(41, 185)(42, 186)(43, 187)(44, 188)(45, 189)(46, 190)(47, 191)(48, 192)(49, 193)(50, 194)(51, 195)(52, 196)(53, 197)(54, 198)(55, 199)(56, 200)(57, 201)(58, 202)(59, 203)(60, 204)(61, 205)(62, 206)(63, 207)(64, 208)(65, 209)(66, 210)(67, 211)(68, 212)(69, 213)(70, 214)(71, 215)(72, 216)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 16, 16 ), ( 16^4 ) }
Outer automorphisms :: chiral
Transitivity :: ET+
Graph:: simple bipartite
	v = 108 e = 144 f = 18
	degree seq :: [ 2^72, 4^36 ]

E10.834 :: Family: { 5 } :: Oriented family(ies): { E3a }
Signature :: (0; {2, 4, 8})
Quotient :: edge
Aut^+ = ((C3 x C3) : C8) : C2 (small group id <144, 182>)
Aut   = ((C3 x C3) : C8) : C2 (small group id <144, 182>)
|r| :: 1
Presentation :: [ (X1^-1 * X2^-1)^2, X1^4, X2^8, X1^-1 * X2 * X1^-1 * X2^-1 * X1 * X2^3 * X1^-1 * X2, X1^-1 * X2 * X1 * X2^-1 * X1 * X2^2 * X1^-2 * X2 * X1^-1 * X2 ]
Map:: polyhedral non-degenerate
	R = (1, 2, 6, 4)(3, 9, 21, 11)(5, 13, 18, 7)(8, 19, 34, 15)(10, 23, 49, 25)(12, 16, 35, 28)(14, 31, 62, 29)(17, 37, 76, 39)(20, 43, 85, 41)(22, 47, 92, 45)(24, 51, 101, 53)(26, 46, 93, 56)(27, 57, 108, 59)(30, 63, 83, 40)(32, 67, 111, 65)(33, 68, 118, 70)(36, 74, 126, 72)(38, 78, 133, 80)(42, 86, 124, 71)(44, 90, 55, 88)(48, 96, 123, 95)(50, 99, 142, 87)(52, 103, 137, 104)(54, 98, 128, 77)(58, 110, 141, 89)(60, 73, 127, 112)(61, 107, 125, 113)(64, 109, 122, 115)(66, 69, 120, 114)(75, 130, 82, 129)(79, 135, 102, 136)(81, 131, 94, 119)(84, 139, 91, 140)(97, 143, 105, 132)(100, 121, 116, 134)(106, 144, 117, 138)(145, 147, 154, 168, 196, 176, 158, 149)(146, 151, 161, 182, 223, 188, 164, 152)(148, 156, 171, 202, 241, 192, 166, 153)(150, 159, 177, 213, 265, 219, 180, 160)(155, 170, 199, 250, 274, 244, 194, 167)(157, 173, 205, 230, 286, 252, 208, 174)(162, 184, 226, 282, 240, 276, 221, 181)(163, 185, 228, 271, 242, 193, 231, 186)(165, 189, 235, 207, 259, 262, 238, 190)(169, 198, 249, 264, 214, 266, 246, 195)(172, 204, 255, 288, 234, 280, 253, 201)(175, 209, 256, 284, 236, 277, 260, 210)(178, 215, 267, 261, 211, 248, 263, 212)(179, 216, 269, 237, 275, 220, 272, 217)(183, 225, 281, 254, 203, 243, 278, 222)(187, 232, 200, 251, 206, 258, 287, 233)(191, 239, 268, 257, 270, 245, 279, 224)(197, 218, 273, 227, 283, 229, 285, 247)
	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 ), ( 4^8 ) }
Outer automorphisms :: chiral
Transitivity :: ET+
Graph:: simple bipartite
	v = 54 e = 144 f = 72
	degree seq :: [ 4^36, 8^18 ]

E10.835 :: Family: { 5 } :: Oriented family(ies): { E3a }
Signature :: (0; {2, 4, 8})
Quotient :: edge
Aut^+ = ((C3 x C3) : C8) : C2 (small group id <144, 182>)
Aut   = ((C3 x C3) : C8) : C2 (small group id <144, 182>)
|r| :: 1
Presentation :: [ X2^2, (X2 * X1^-1)^4, X1^8, X2 * X1 * X2 * X1^-2 * X2 * X1^-2 * X2 * X1^-3, (X2 * X1^2 * X2 * X1^-2)^2 ]
Map:: polytopal
	R = (1, 2, 5, 11, 23, 22, 10, 4)(3, 7, 15, 31, 57, 37, 18, 8)(6, 13, 27, 51, 92, 56, 30, 14)(9, 19, 38, 69, 117, 74, 40, 20)(12, 25, 47, 86, 132, 91, 50, 26)(16, 33, 61, 107, 144, 102, 63, 34)(17, 35, 64, 110, 137, 97, 53, 28)(21, 41, 75, 99, 142, 106, 77, 42)(24, 45, 82, 128, 111, 131, 85, 46)(29, 54, 98, 73, 121, 135, 88, 48)(32, 59, 104, 126, 93, 136, 90, 60)(36, 66, 114, 129, 83, 49, 89, 67)(39, 71, 119, 138, 116, 68, 87, 72)(43, 78, 113, 65, 112, 143, 123, 79)(44, 80, 124, 108, 141, 115, 127, 81)(52, 94, 76, 122, 133, 103, 130, 95)(55, 100, 70, 118, 125, 84, 58, 101)(62, 109, 139, 96, 140, 120, 134, 105)(145, 147)(146, 150)(148, 153)(149, 156)(151, 160)(152, 161)(154, 165)(155, 168)(157, 172)(158, 173)(159, 176)(162, 180)(163, 183)(164, 177)(166, 187)(167, 188)(169, 192)(170, 193)(171, 196)(174, 199)(175, 202)(178, 206)(179, 209)(181, 212)(182, 214)(184, 217)(185, 220)(186, 215)(189, 227)(190, 228)(191, 231)(194, 234)(195, 237)(197, 240)(198, 243)(200, 246)(201, 247)(203, 249)(204, 250)(205, 252)(207, 226)(208, 255)(210, 259)(211, 256)(213, 233)(216, 264)(218, 239)(219, 258)(221, 254)(222, 248)(223, 266)(224, 269)(225, 270)(229, 274)(230, 277)(232, 278)(235, 281)(236, 282)(238, 283)(241, 268)(242, 285)(244, 287)(245, 286)(251, 276)(253, 273)(257, 279)(260, 271)(261, 280)(262, 284)(263, 272)(265, 275)(267, 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, 8 ), ( 8^8 ) }
Outer automorphisms :: chiral
Dual of E10.837
Transitivity :: ET+
Graph:: simple bipartite
	v = 90 e = 144 f = 36
	degree seq :: [ 2^72, 8^18 ]

E10.836 :: Family: { 5* } :: Oriented family(ies): { E3*a }
Signature :: (0; {2, 4, 8})
Quotient :: loop
Aut^+ = ((C3 x C3) : C8) : C2 (small group id <144, 182>)
Aut   = ((C3 x C3) : C8) : C2 (small group id <144, 182>)
|r| :: 1
Presentation :: [ X1^2, X2^4, (X2 * X1 * X2^-2 * X1 * X2^-1 * X1)^2, X2^-1 * X1 * X2^-2 * X1 * X2^-1 * X1 * X2^-1 * X1 * X2 * X1 * X2^-1 * X1 * X2^-1, (X2^-1 * X1)^8 ]
Map:: polyhedral non-degenerate
	R = (1, 145, 2, 146)(3, 147, 7, 151)(4, 148, 9, 153)(5, 149, 10, 154)(6, 150, 12, 156)(8, 152, 15, 159)(11, 155, 20, 164)(13, 157, 23, 167)(14, 158, 25, 169)(16, 160, 28, 172)(17, 161, 30, 174)(18, 162, 31, 175)(19, 163, 33, 177)(21, 165, 36, 180)(22, 166, 38, 182)(24, 168, 41, 185)(26, 170, 44, 188)(27, 171, 46, 190)(29, 173, 49, 193)(32, 176, 54, 198)(34, 178, 57, 201)(35, 179, 59, 203)(37, 181, 62, 206)(39, 183, 65, 209)(40, 184, 67, 211)(42, 186, 70, 214)(43, 187, 72, 216)(45, 189, 75, 219)(47, 191, 78, 222)(48, 192, 80, 224)(50, 194, 83, 227)(51, 195, 85, 229)(52, 196, 86, 230)(53, 197, 88, 232)(55, 199, 91, 235)(56, 200, 93, 237)(58, 202, 96, 240)(60, 204, 99, 243)(61, 205, 101, 245)(63, 207, 104, 248)(64, 208, 106, 250)(66, 210, 92, 236)(68, 212, 111, 255)(69, 213, 90, 234)(71, 215, 87, 231)(73, 217, 115, 259)(74, 218, 98, 242)(76, 220, 100, 244)(77, 221, 95, 239)(79, 223, 97, 241)(81, 225, 113, 257)(82, 226, 109, 253)(84, 228, 118, 262)(89, 233, 124, 268)(94, 238, 128, 272)(102, 246, 126, 270)(103, 247, 122, 266)(105, 249, 131, 275)(107, 251, 132, 276)(108, 252, 121, 265)(110, 254, 123, 267)(112, 256, 125, 269)(114, 258, 127, 271)(116, 260, 134, 278)(117, 261, 133, 277)(119, 263, 120, 264)(129, 273, 140, 284)(130, 274, 139, 283)(135, 279, 144, 288)(136, 280, 143, 287)(137, 281, 142, 286)(138, 282, 141, 285)
	L = (1, 147)(2, 149)(3, 152)(4, 145)(5, 155)(6, 146)(7, 157)(8, 148)(9, 160)(10, 162)(11, 150)(12, 165)(13, 168)(14, 151)(15, 170)(16, 173)(17, 153)(18, 176)(19, 154)(20, 178)(21, 181)(22, 156)(23, 183)(24, 158)(25, 186)(26, 189)(27, 159)(28, 191)(29, 161)(30, 194)(31, 196)(32, 163)(33, 199)(34, 202)(35, 164)(36, 204)(37, 166)(38, 207)(39, 210)(40, 167)(41, 212)(42, 215)(43, 169)(44, 217)(45, 171)(46, 220)(47, 223)(48, 172)(49, 225)(50, 228)(51, 174)(52, 231)(53, 175)(54, 233)(55, 236)(56, 177)(57, 238)(58, 179)(59, 241)(60, 244)(61, 180)(62, 246)(63, 249)(64, 182)(65, 251)(66, 184)(67, 253)(68, 245)(69, 185)(70, 240)(71, 187)(72, 257)(73, 260)(74, 188)(75, 248)(76, 261)(77, 190)(78, 247)(79, 192)(80, 234)(81, 243)(82, 193)(83, 256)(84, 195)(85, 255)(86, 264)(87, 197)(88, 266)(89, 224)(90, 198)(91, 219)(92, 200)(93, 270)(94, 273)(95, 201)(96, 227)(97, 274)(98, 203)(99, 226)(100, 205)(101, 213)(102, 222)(103, 206)(104, 269)(105, 208)(106, 268)(107, 277)(108, 209)(109, 278)(110, 211)(111, 279)(112, 214)(113, 280)(114, 216)(115, 281)(116, 218)(117, 221)(118, 282)(119, 229)(120, 283)(121, 230)(122, 284)(123, 232)(124, 285)(125, 235)(126, 286)(127, 237)(128, 287)(129, 239)(130, 242)(131, 288)(132, 250)(133, 252)(134, 254)(135, 263)(136, 258)(137, 262)(138, 259)(139, 265)(140, 267)(141, 276)(142, 271)(143, 275)(144, 272)
	local type(s) :: { ( 4, 8, 4, 8 ) }
Outer automorphisms :: chiral
Transitivity :: ET+ VT+
Graph:: simple bipartite
	v = 72 e = 144 f = 54
	degree seq :: [ 4^72 ]

E10.837 :: Family: { 5* } :: Oriented family(ies): { E3*a }
Signature :: (0; {2, 4, 8})
Quotient :: loop
Aut^+ = ((C3 x C3) : C8) : C2 (small group id <144, 182>)
Aut   = ((C3 x C3) : C8) : C2 (small group id <144, 182>)
|r| :: 1
Presentation :: [ (X1^-1 * X2^-1)^2, X1^4, X2^8, X1^-1 * X2 * X1^-1 * X2^-1 * X1 * X2^3 * X1^-1 * X2, X1^-1 * X2 * X1 * X2^-1 * X1 * X2^2 * X1^-2 * X2 * X1^-1 * X2 ]
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, 49, 193, 25, 169)(12, 156, 16, 160, 35, 179, 28, 172)(14, 158, 31, 175, 62, 206, 29, 173)(17, 161, 37, 181, 76, 220, 39, 183)(20, 164, 43, 187, 85, 229, 41, 185)(22, 166, 47, 191, 92, 236, 45, 189)(24, 168, 51, 195, 101, 245, 53, 197)(26, 170, 46, 190, 93, 237, 56, 200)(27, 171, 57, 201, 108, 252, 59, 203)(30, 174, 63, 207, 83, 227, 40, 184)(32, 176, 67, 211, 111, 255, 65, 209)(33, 177, 68, 212, 118, 262, 70, 214)(36, 180, 74, 218, 126, 270, 72, 216)(38, 182, 78, 222, 133, 277, 80, 224)(42, 186, 86, 230, 124, 268, 71, 215)(44, 188, 90, 234, 55, 199, 88, 232)(48, 192, 96, 240, 123, 267, 95, 239)(50, 194, 99, 243, 142, 286, 87, 231)(52, 196, 103, 247, 137, 281, 104, 248)(54, 198, 98, 242, 128, 272, 77, 221)(58, 202, 110, 254, 141, 285, 89, 233)(60, 204, 73, 217, 127, 271, 112, 256)(61, 205, 107, 251, 125, 269, 113, 257)(64, 208, 109, 253, 122, 266, 115, 259)(66, 210, 69, 213, 120, 264, 114, 258)(75, 219, 130, 274, 82, 226, 129, 273)(79, 223, 135, 279, 102, 246, 136, 280)(81, 225, 131, 275, 94, 238, 119, 263)(84, 228, 139, 283, 91, 235, 140, 284)(97, 241, 143, 287, 105, 249, 132, 276)(100, 244, 121, 265, 116, 260, 134, 278)(106, 250, 144, 288, 117, 261, 138, 282)
	L = (1, 147)(2, 151)(3, 154)(4, 156)(5, 145)(6, 159)(7, 161)(8, 146)(9, 148)(10, 168)(11, 170)(12, 171)(13, 173)(14, 149)(15, 177)(16, 150)(17, 182)(18, 184)(19, 185)(20, 152)(21, 189)(22, 153)(23, 155)(24, 196)(25, 198)(26, 199)(27, 202)(28, 204)(29, 205)(30, 157)(31, 209)(32, 158)(33, 213)(34, 215)(35, 216)(36, 160)(37, 162)(38, 223)(39, 225)(40, 226)(41, 228)(42, 163)(43, 232)(44, 164)(45, 235)(46, 165)(47, 239)(48, 166)(49, 231)(50, 167)(51, 169)(52, 176)(53, 218)(54, 249)(55, 250)(56, 251)(57, 172)(58, 241)(59, 243)(60, 255)(61, 230)(62, 258)(63, 259)(64, 174)(65, 256)(66, 175)(67, 248)(68, 178)(69, 265)(70, 266)(71, 267)(72, 269)(73, 179)(74, 273)(75, 180)(76, 272)(77, 181)(78, 183)(79, 188)(80, 191)(81, 281)(82, 282)(83, 283)(84, 271)(85, 285)(86, 286)(87, 186)(88, 200)(89, 187)(90, 280)(91, 207)(92, 277)(93, 275)(94, 190)(95, 268)(96, 276)(97, 192)(98, 193)(99, 278)(100, 194)(101, 279)(102, 195)(103, 197)(104, 263)(105, 264)(106, 274)(107, 206)(108, 208)(109, 201)(110, 203)(111, 288)(112, 284)(113, 270)(114, 287)(115, 262)(116, 210)(117, 211)(118, 238)(119, 212)(120, 214)(121, 219)(122, 246)(123, 261)(124, 257)(125, 237)(126, 245)(127, 242)(128, 217)(129, 227)(130, 244)(131, 220)(132, 221)(133, 260)(134, 222)(135, 224)(136, 253)(137, 254)(138, 240)(139, 229)(140, 236)(141, 247)(142, 252)(143, 233)(144, 234)
	local type(s) :: { ( 2, 8, 2, 8, 2, 8, 2, 8 ) }
Outer automorphisms :: chiral
Dual of E10.835
Transitivity :: ET+ VT+
Graph:: bipartite
	v = 36 e = 144 f = 90
	degree seq :: [ 8^36 ]

E10.838 :: Family: { 5* } :: Oriented family(ies): { E3*a }
Signature :: (0; {2, 4, 8})
Quotient :: loop
Aut^+ = ((C3 x C3) : C8) : C2 (small group id <144, 182>)
Aut   = ((C3 x C3) : C8) : C2 (small group id <144, 182>)
|r| :: 1
Presentation :: [ X2^2, (X2 * X1^-1)^4, X1^8, X2 * X1 * X2 * X1^-2 * X2 * X1^-2 * X2 * X1^-3, (X2 * X1^2 * X2 * X1^-2)^2 ]
Map::
	R = (1, 145, 2, 146, 5, 149, 11, 155, 23, 167, 22, 166, 10, 154, 4, 148)(3, 147, 7, 151, 15, 159, 31, 175, 57, 201, 37, 181, 18, 162, 8, 152)(6, 150, 13, 157, 27, 171, 51, 195, 92, 236, 56, 200, 30, 174, 14, 158)(9, 153, 19, 163, 38, 182, 69, 213, 117, 261, 74, 218, 40, 184, 20, 164)(12, 156, 25, 169, 47, 191, 86, 230, 132, 276, 91, 235, 50, 194, 26, 170)(16, 160, 33, 177, 61, 205, 107, 251, 144, 288, 102, 246, 63, 207, 34, 178)(17, 161, 35, 179, 64, 208, 110, 254, 137, 281, 97, 241, 53, 197, 28, 172)(21, 165, 41, 185, 75, 219, 99, 243, 142, 286, 106, 250, 77, 221, 42, 186)(24, 168, 45, 189, 82, 226, 128, 272, 111, 255, 131, 275, 85, 229, 46, 190)(29, 173, 54, 198, 98, 242, 73, 217, 121, 265, 135, 279, 88, 232, 48, 192)(32, 176, 59, 203, 104, 248, 126, 270, 93, 237, 136, 280, 90, 234, 60, 204)(36, 180, 66, 210, 114, 258, 129, 273, 83, 227, 49, 193, 89, 233, 67, 211)(39, 183, 71, 215, 119, 263, 138, 282, 116, 260, 68, 212, 87, 231, 72, 216)(43, 187, 78, 222, 113, 257, 65, 209, 112, 256, 143, 287, 123, 267, 79, 223)(44, 188, 80, 224, 124, 268, 108, 252, 141, 285, 115, 259, 127, 271, 81, 225)(52, 196, 94, 238, 76, 220, 122, 266, 133, 277, 103, 247, 130, 274, 95, 239)(55, 199, 100, 244, 70, 214, 118, 262, 125, 269, 84, 228, 58, 202, 101, 245)(62, 206, 109, 253, 139, 283, 96, 240, 140, 284, 120, 264, 134, 278, 105, 249)
	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, 176)(16, 151)(17, 152)(18, 180)(19, 183)(20, 177)(21, 154)(22, 187)(23, 188)(24, 155)(25, 192)(26, 193)(27, 196)(28, 157)(29, 158)(30, 199)(31, 202)(32, 159)(33, 164)(34, 206)(35, 209)(36, 162)(37, 212)(38, 214)(39, 163)(40, 217)(41, 220)(42, 215)(43, 166)(44, 167)(45, 227)(46, 228)(47, 231)(48, 169)(49, 170)(50, 234)(51, 237)(52, 171)(53, 240)(54, 243)(55, 174)(56, 246)(57, 247)(58, 175)(59, 249)(60, 250)(61, 252)(62, 178)(63, 226)(64, 255)(65, 179)(66, 259)(67, 256)(68, 181)(69, 233)(70, 182)(71, 186)(72, 264)(73, 184)(74, 239)(75, 258)(76, 185)(77, 254)(78, 248)(79, 266)(80, 269)(81, 270)(82, 207)(83, 189)(84, 190)(85, 274)(86, 277)(87, 191)(88, 278)(89, 213)(90, 194)(91, 281)(92, 282)(93, 195)(94, 283)(95, 218)(96, 197)(97, 268)(98, 285)(99, 198)(100, 287)(101, 286)(102, 200)(103, 201)(104, 222)(105, 203)(106, 204)(107, 276)(108, 205)(109, 273)(110, 221)(111, 208)(112, 211)(113, 279)(114, 219)(115, 210)(116, 271)(117, 280)(118, 284)(119, 272)(120, 216)(121, 275)(122, 223)(123, 288)(124, 241)(125, 224)(126, 225)(127, 260)(128, 263)(129, 253)(130, 229)(131, 265)(132, 251)(133, 230)(134, 232)(135, 257)(136, 261)(137, 235)(138, 236)(139, 238)(140, 262)(141, 242)(142, 245)(143, 244)(144, 267)
	local type(s) :: { ( 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4 ) }
Outer automorphisms :: chiral
Transitivity :: ET+ VT+
Graph:: bipartite
	v = 18 e = 144 f = 108
	degree seq :: [ 16^18 ]

E10.839 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 3, 24})
Quotient :: regular
Aut^+ = C3 x GL(2,3) (small group id <144, 122>)
Aut   = $<288, 847>$ (small group id <288, 847>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, (T1^-1 * T2)^3, T1 * T2 * T1^-4 * T2 * T1^3, T1^24 ]
Map:: polytopal non-degenerate
	R = (1, 2, 5, 11, 21, 37, 58, 80, 101, 121, 135, 141, 144, 143, 140, 133, 120, 100, 79, 57, 36, 20, 10, 4)(3, 7, 15, 27, 38, 60, 82, 103, 122, 104, 124, 136, 142, 138, 126, 119, 130, 110, 90, 68, 53, 31, 17, 8)(6, 13, 25, 43, 59, 47, 69, 91, 111, 123, 113, 131, 139, 134, 117, 98, 118, 99, 78, 56, 35, 46, 26, 14)(9, 18, 32, 40, 22, 39, 61, 83, 102, 85, 106, 125, 137, 128, 109, 129, 116, 96, 74, 52, 73, 50, 29, 16)(12, 23, 41, 62, 81, 65, 88, 108, 127, 112, 94, 115, 132, 114, 93, 72, 95, 77, 55, 33, 19, 34, 42, 24)(28, 48, 70, 92, 76, 54, 75, 97, 105, 84, 64, 87, 107, 86, 63, 45, 67, 89, 66, 44, 30, 51, 71, 49)
	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, 47)(29, 48)(31, 52)(32, 54)(34, 56)(36, 53)(37, 59)(40, 60)(41, 63)(42, 64)(43, 65)(46, 68)(49, 69)(50, 72)(51, 74)(55, 75)(57, 73)(58, 81)(61, 84)(62, 85)(66, 88)(67, 90)(70, 93)(71, 94)(76, 82)(77, 98)(78, 87)(79, 95)(80, 102)(83, 104)(86, 106)(89, 109)(91, 112)(92, 113)(96, 115)(97, 117)(99, 119)(100, 118)(101, 122)(103, 123)(105, 124)(107, 126)(108, 128)(110, 129)(111, 121)(114, 131)(116, 133)(120, 130)(125, 138)(127, 135)(132, 140)(134, 136)(137, 141)(139, 143)(142, 144)
	local type(s) :: { ( 3^24 ) }
Outer automorphisms :: reflexible
Dual of E10.840
Transitivity :: ET+ VT+ AT+ REG+
Graph::
	v = 6 e = 72 f = 48
	degree seq :: [ 24^6 ]

E10.840 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 3, 24})
Quotient :: regular
Aut^+ = C3 x GL(2,3) (small group id <144, 122>)
Aut   = $<288, 847>$ (small group id <288, 847>)
|r| :: 2
Presentation :: [ T2^2, F^2, T1^3, (F * T1)^2, (F * T2)^2, T2 * T1^-1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1, (T2 * T1 * T2 * T1^-1)^6 ]
Map:: polytopal non-degenerate
	R = (1, 2, 4)(3, 6, 7)(5, 9, 10)(8, 13, 14)(11, 17, 18)(12, 19, 20)(15, 23, 24)(16, 25, 26)(21, 31, 32)(22, 33, 34)(27, 39, 40)(28, 41, 42)(29, 43, 44)(30, 45, 46)(35, 51, 52)(36, 53, 54)(37, 55, 56)(38, 57, 58)(47, 67, 68)(48, 69, 70)(49, 71, 72)(50, 73, 74)(59, 75, 83)(60, 84, 85)(61, 86, 87)(62, 88, 89)(63, 76, 90)(64, 91, 92)(65, 78, 93)(66, 82, 94)(77, 99, 100)(79, 95, 101)(80, 102, 103)(81, 97, 104)(96, 113, 114)(98, 115, 116)(105, 123, 124)(106, 109, 125)(107, 126, 127)(108, 111, 128)(110, 118, 129)(112, 121, 130)(117, 119, 133)(120, 131, 134)(122, 132, 135)(136, 137, 142)(138, 140, 143)(139, 141, 144)
	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, 83)(68, 95)(69, 96)(70, 97)(71, 85)(72, 98)(73, 89)(74, 94)(84, 105)(86, 106)(87, 107)(88, 108)(90, 109)(91, 110)(92, 111)(93, 112)(99, 117)(100, 118)(101, 119)(102, 120)(103, 121)(104, 122)(113, 124)(114, 131)(115, 127)(116, 132)(123, 136)(125, 137)(126, 138)(128, 139)(129, 140)(130, 141)(133, 142)(134, 143)(135, 144)
	local type(s) :: { ( 24^3 ) }
Outer automorphisms :: reflexible
Dual of E10.839
Transitivity :: ET+ VT+ AT+ REG+
Graph:: simple bipartite
	v = 48 e = 72 f = 6
	degree seq :: [ 3^48 ]

E10.841 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 3, 24})
Quotient :: edge
Aut^+ = C3 x GL(2,3) (small group id <144, 122>)
Aut   = $<288, 847>$ (small group id <288, 847>)
|r| :: 2
Presentation :: [ T1^2, F^2, T2^3, (F * T1)^2, (F * T2)^2, T1 * T2^-1 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1, (T2 * T1 * T2^-1 * T1)^6 ]
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, 107, 108)(92, 95, 109)(93, 110, 111)(94, 97, 112)(96, 113, 114)(98, 115, 116)(99, 117, 118)(100, 103, 119)(101, 120, 121)(102, 105, 122)(104, 123, 124)(106, 125, 126)(127, 128, 139)(129, 131, 140)(130, 132, 141)(133, 134, 142)(135, 137, 143)(136, 138, 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, 189)(174, 190)(175, 191)(176, 192)(177, 193)(178, 194)(179, 195)(180, 196)(181, 197)(182, 198)(183, 199)(184, 200)(185, 201)(186, 202)(203, 219)(204, 227)(205, 235)(206, 231)(207, 236)(208, 237)(209, 238)(210, 233)(211, 220)(212, 239)(213, 240)(214, 241)(215, 222)(216, 242)(217, 226)(218, 234)(221, 243)(223, 244)(224, 245)(225, 246)(228, 247)(229, 248)(230, 249)(232, 250)(251, 271)(252, 267)(253, 272)(254, 273)(255, 269)(256, 274)(257, 262)(258, 275)(259, 265)(260, 276)(261, 277)(263, 278)(264, 279)(266, 280)(268, 281)(270, 282)(283, 286)(284, 287)(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) :: { ( 48, 48 ), ( 48^3 ) }
Outer automorphisms :: reflexible
Dual of E10.845
Transitivity :: ET+
Graph:: simple bipartite
	v = 120 e = 144 f = 6
	degree seq :: [ 2^72, 3^48 ]

E10.842 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 3, 24})
Quotient :: edge
Aut^+ = C3 x GL(2,3) (small group id <144, 122>)
Aut   = $<288, 847>$ (small group id <288, 847>)
|r| :: 2
Presentation :: [ F^2, T1^3, (T2 * T1)^2, (F * T1)^2, (F * T2)^2, T2^-3 * T1^-1 * T2^3 * T1^-1 * T2^-2, T1^-1 * T2^3 * T1^-1 * T2^19 ]
Map:: polytopal non-degenerate
	R = (1, 3, 9, 19, 37, 66, 92, 119, 140, 133, 126, 142, 144, 136, 112, 135, 137, 114, 86, 57, 48, 26, 13, 5)(2, 6, 14, 27, 50, 38, 68, 93, 120, 122, 95, 123, 141, 138, 115, 130, 139, 117, 88, 61, 58, 32, 16, 7)(4, 11, 22, 41, 67, 51, 80, 106, 132, 121, 108, 134, 143, 129, 102, 128, 131, 104, 78, 47, 62, 34, 17, 8)(10, 21, 40, 70, 72, 42, 73, 98, 125, 105, 82, 109, 127, 101, 75, 100, 103, 77, 46, 25, 45, 64, 35, 18)(12, 23, 43, 65, 36, 20, 39, 69, 94, 96, 71, 97, 124, 111, 83, 110, 113, 85, 56, 31, 55, 76, 44, 24)(15, 29, 53, 79, 49, 28, 52, 81, 107, 91, 74, 99, 118, 90, 63, 89, 116, 87, 60, 33, 59, 84, 54, 30)(145, 146, 148)(147, 152, 154)(149, 156, 150)(151, 159, 155)(153, 162, 164)(157, 169, 167)(158, 168, 172)(160, 175, 173)(161, 177, 165)(163, 180, 182)(166, 174, 186)(170, 191, 189)(171, 193, 195)(176, 201, 199)(178, 205, 203)(179, 207, 183)(181, 194, 211)(184, 204, 215)(185, 216, 210)(187, 190, 218)(188, 219, 196)(192, 202, 206)(197, 200, 226)(198, 227, 217)(208, 222, 233)(209, 235, 212)(213, 234, 239)(214, 240, 236)(220, 230, 244)(221, 246, 243)(223, 249, 224)(225, 245, 252)(228, 232, 254)(229, 256, 253)(231, 259, 241)(237, 251, 265)(238, 266, 263)(242, 255, 270)(247, 258, 272)(248, 274, 260)(250, 269, 277)(257, 261, 279)(262, 273, 267)(264, 276, 284)(268, 282, 286)(271, 280, 278)(275, 281, 283)(285, 287, 288)
	L = (1, 145)(2, 146)(3, 147)(4, 148)(5, 149)(6, 150)(7, 151)(8, 152)(9, 153)(10, 154)(11, 155)(12, 156)(13, 157)(14, 158)(15, 159)(16, 160)(17, 161)(18, 162)(19, 163)(20, 164)(21, 165)(22, 166)(23, 167)(24, 168)(25, 169)(26, 170)(27, 171)(28, 172)(29, 173)(30, 174)(31, 175)(32, 176)(33, 177)(34, 178)(35, 179)(36, 180)(37, 181)(38, 182)(39, 183)(40, 184)(41, 185)(42, 186)(43, 187)(44, 188)(45, 189)(46, 190)(47, 191)(48, 192)(49, 193)(50, 194)(51, 195)(52, 196)(53, 197)(54, 198)(55, 199)(56, 200)(57, 201)(58, 202)(59, 203)(60, 204)(61, 205)(62, 206)(63, 207)(64, 208)(65, 209)(66, 210)(67, 211)(68, 212)(69, 213)(70, 214)(71, 215)(72, 216)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 4^3 ), ( 4^24 ) }
Outer automorphisms :: reflexible
Dual of E10.846
Transitivity :: ET+
Graph:: simple bipartite
	v = 54 e = 144 f = 72
	degree seq :: [ 3^48, 24^6 ]

E10.843 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 3, 24})
Quotient :: edge
Aut^+ = C3 x GL(2,3) (small group id <144, 122>)
Aut   = $<288, 847>$ (small group id <288, 847>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, (T2 * T1^-1)^3, T1^-2 * T2 * T1^4 * T2 * T1^-2, T1^24 ]
Map:: polytopal
	R = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 13)(10, 19)(11, 22)(14, 23)(15, 28)(17, 30)(18, 33)(20, 35)(21, 38)(24, 39)(25, 44)(26, 45)(27, 47)(29, 48)(31, 52)(32, 54)(34, 56)(36, 53)(37, 59)(40, 60)(41, 63)(42, 64)(43, 65)(46, 68)(49, 69)(50, 72)(51, 74)(55, 75)(57, 73)(58, 81)(61, 84)(62, 85)(66, 88)(67, 90)(70, 93)(71, 94)(76, 82)(77, 98)(78, 87)(79, 95)(80, 102)(83, 104)(86, 106)(89, 109)(91, 112)(92, 113)(96, 115)(97, 117)(99, 119)(100, 118)(101, 122)(103, 123)(105, 124)(107, 126)(108, 128)(110, 129)(111, 121)(114, 131)(116, 133)(120, 130)(125, 138)(127, 135)(132, 140)(134, 136)(137, 141)(139, 143)(142, 144)(145, 146, 149, 155, 165, 181, 202, 224, 245, 265, 279, 285, 288, 287, 284, 277, 264, 244, 223, 201, 180, 164, 154, 148)(147, 151, 159, 171, 182, 204, 226, 247, 266, 248, 268, 280, 286, 282, 270, 263, 274, 254, 234, 212, 197, 175, 161, 152)(150, 157, 169, 187, 203, 191, 213, 235, 255, 267, 257, 275, 283, 278, 261, 242, 262, 243, 222, 200, 179, 190, 170, 158)(153, 162, 176, 184, 166, 183, 205, 227, 246, 229, 250, 269, 281, 272, 253, 273, 260, 240, 218, 196, 217, 194, 173, 160)(156, 167, 185, 206, 225, 209, 232, 252, 271, 256, 238, 259, 276, 258, 237, 216, 239, 221, 199, 177, 163, 178, 186, 168)(172, 192, 214, 236, 220, 198, 219, 241, 249, 228, 208, 231, 251, 230, 207, 189, 211, 233, 210, 188, 174, 195, 215, 193)
	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, 6 ), ( 6^24 ) }
Outer automorphisms :: reflexible
Dual of E10.844
Transitivity :: ET+
Graph:: simple bipartite
	v = 78 e = 144 f = 48
	degree seq :: [ 2^72, 24^6 ]

E10.844 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 3, 24})
Quotient :: loop
Aut^+ = C3 x GL(2,3) (small group id <144, 122>)
Aut   = $<288, 847>$ (small group id <288, 847>)
|r| :: 2
Presentation :: [ T1^2, F^2, T2^3, (F * T1)^2, (F * T2)^2, T1 * T2^-1 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1, (T2 * T1 * T2^-1 * T1)^6 ]
Map::
	R = (1, 145, 3, 147, 4, 148)(2, 146, 5, 149, 6, 150)(7, 151, 11, 155, 12, 156)(8, 152, 13, 157, 14, 158)(9, 153, 15, 159, 16, 160)(10, 154, 17, 161, 18, 162)(19, 163, 27, 171, 28, 172)(20, 164, 29, 173, 30, 174)(21, 165, 31, 175, 32, 176)(22, 166, 33, 177, 34, 178)(23, 167, 35, 179, 36, 180)(24, 168, 37, 181, 38, 182)(25, 169, 39, 183, 40, 184)(26, 170, 41, 185, 42, 186)(43, 187, 59, 203, 60, 204)(44, 188, 61, 205, 62, 206)(45, 189, 63, 207, 64, 208)(46, 190, 65, 209, 66, 210)(47, 191, 67, 211, 68, 212)(48, 192, 69, 213, 70, 214)(49, 193, 71, 215, 72, 216)(50, 194, 73, 217, 74, 218)(51, 195, 75, 219, 76, 220)(52, 196, 77, 221, 78, 222)(53, 197, 79, 223, 80, 224)(54, 198, 81, 225, 82, 226)(55, 199, 83, 227, 84, 228)(56, 200, 85, 229, 86, 230)(57, 201, 87, 231, 88, 232)(58, 202, 89, 233, 90, 234)(91, 235, 107, 251, 108, 252)(92, 236, 95, 239, 109, 253)(93, 237, 110, 254, 111, 255)(94, 238, 97, 241, 112, 256)(96, 240, 113, 257, 114, 258)(98, 242, 115, 259, 116, 260)(99, 243, 117, 261, 118, 262)(100, 244, 103, 247, 119, 263)(101, 245, 120, 264, 121, 265)(102, 246, 105, 249, 122, 266)(104, 248, 123, 267, 124, 268)(106, 250, 125, 269, 126, 270)(127, 271, 128, 272, 139, 283)(129, 273, 131, 275, 140, 284)(130, 274, 132, 276, 141, 285)(133, 277, 134, 278, 142, 286)(135, 279, 137, 281, 143, 287)(136, 280, 138, 282, 144, 288)
	L = (1, 146)(2, 145)(3, 151)(4, 152)(5, 153)(6, 154)(7, 147)(8, 148)(9, 149)(10, 150)(11, 163)(12, 164)(13, 165)(14, 166)(15, 167)(16, 168)(17, 169)(18, 170)(19, 155)(20, 156)(21, 157)(22, 158)(23, 159)(24, 160)(25, 161)(26, 162)(27, 187)(28, 188)(29, 189)(30, 190)(31, 191)(32, 192)(33, 193)(34, 194)(35, 195)(36, 196)(37, 197)(38, 198)(39, 199)(40, 200)(41, 201)(42, 202)(43, 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, 219)(60, 227)(61, 235)(62, 231)(63, 236)(64, 237)(65, 238)(66, 233)(67, 220)(68, 239)(69, 240)(70, 241)(71, 222)(72, 242)(73, 226)(74, 234)(75, 203)(76, 211)(77, 243)(78, 215)(79, 244)(80, 245)(81, 246)(82, 217)(83, 204)(84, 247)(85, 248)(86, 249)(87, 206)(88, 250)(89, 210)(90, 218)(91, 205)(92, 207)(93, 208)(94, 209)(95, 212)(96, 213)(97, 214)(98, 216)(99, 221)(100, 223)(101, 224)(102, 225)(103, 228)(104, 229)(105, 230)(106, 232)(107, 271)(108, 267)(109, 272)(110, 273)(111, 269)(112, 274)(113, 262)(114, 275)(115, 265)(116, 276)(117, 277)(118, 257)(119, 278)(120, 279)(121, 259)(122, 280)(123, 252)(124, 281)(125, 255)(126, 282)(127, 251)(128, 253)(129, 254)(130, 256)(131, 258)(132, 260)(133, 261)(134, 263)(135, 264)(136, 266)(137, 268)(138, 270)(139, 286)(140, 287)(141, 288)(142, 283)(143, 284)(144, 285)
	local type(s) :: { ( 2, 24, 2, 24, 2, 24 ) }
Outer automorphisms :: reflexible
Dual of E10.843
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 48 e = 144 f = 78
	degree seq :: [ 6^48 ]

E10.845 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 3, 24})
Quotient :: loop
Aut^+ = C3 x GL(2,3) (small group id <144, 122>)
Aut   = $<288, 847>$ (small group id <288, 847>)
|r| :: 2
Presentation :: [ F^2, T1^3, (T2 * T1)^2, (F * T1)^2, (F * T2)^2, T2^-3 * T1^-1 * T2^3 * T1^-1 * T2^-2, T1^-1 * T2^3 * T1^-1 * T2^19 ]
Map::
	R = (1, 145, 3, 147, 9, 153, 19, 163, 37, 181, 66, 210, 92, 236, 119, 263, 140, 284, 133, 277, 126, 270, 142, 286, 144, 288, 136, 280, 112, 256, 135, 279, 137, 281, 114, 258, 86, 230, 57, 201, 48, 192, 26, 170, 13, 157, 5, 149)(2, 146, 6, 150, 14, 158, 27, 171, 50, 194, 38, 182, 68, 212, 93, 237, 120, 264, 122, 266, 95, 239, 123, 267, 141, 285, 138, 282, 115, 259, 130, 274, 139, 283, 117, 261, 88, 232, 61, 205, 58, 202, 32, 176, 16, 160, 7, 151)(4, 148, 11, 155, 22, 166, 41, 185, 67, 211, 51, 195, 80, 224, 106, 250, 132, 276, 121, 265, 108, 252, 134, 278, 143, 287, 129, 273, 102, 246, 128, 272, 131, 275, 104, 248, 78, 222, 47, 191, 62, 206, 34, 178, 17, 161, 8, 152)(10, 154, 21, 165, 40, 184, 70, 214, 72, 216, 42, 186, 73, 217, 98, 242, 125, 269, 105, 249, 82, 226, 109, 253, 127, 271, 101, 245, 75, 219, 100, 244, 103, 247, 77, 221, 46, 190, 25, 169, 45, 189, 64, 208, 35, 179, 18, 162)(12, 156, 23, 167, 43, 187, 65, 209, 36, 180, 20, 164, 39, 183, 69, 213, 94, 238, 96, 240, 71, 215, 97, 241, 124, 268, 111, 255, 83, 227, 110, 254, 113, 257, 85, 229, 56, 200, 31, 175, 55, 199, 76, 220, 44, 188, 24, 168)(15, 159, 29, 173, 53, 197, 79, 223, 49, 193, 28, 172, 52, 196, 81, 225, 107, 251, 91, 235, 74, 218, 99, 243, 118, 262, 90, 234, 63, 207, 89, 233, 116, 260, 87, 231, 60, 204, 33, 177, 59, 203, 84, 228, 54, 198, 30, 174)
	L = (1, 146)(2, 148)(3, 152)(4, 145)(5, 156)(6, 149)(7, 159)(8, 154)(9, 162)(10, 147)(11, 151)(12, 150)(13, 169)(14, 168)(15, 155)(16, 175)(17, 177)(18, 164)(19, 180)(20, 153)(21, 161)(22, 174)(23, 157)(24, 172)(25, 167)(26, 191)(27, 193)(28, 158)(29, 160)(30, 186)(31, 173)(32, 201)(33, 165)(34, 205)(35, 207)(36, 182)(37, 194)(38, 163)(39, 179)(40, 204)(41, 216)(42, 166)(43, 190)(44, 219)(45, 170)(46, 218)(47, 189)(48, 202)(49, 195)(50, 211)(51, 171)(52, 188)(53, 200)(54, 227)(55, 176)(56, 226)(57, 199)(58, 206)(59, 178)(60, 215)(61, 203)(62, 192)(63, 183)(64, 222)(65, 235)(66, 185)(67, 181)(68, 209)(69, 234)(70, 240)(71, 184)(72, 210)(73, 198)(74, 187)(75, 196)(76, 230)(77, 246)(78, 233)(79, 249)(80, 223)(81, 245)(82, 197)(83, 217)(84, 232)(85, 256)(86, 244)(87, 259)(88, 254)(89, 208)(90, 239)(91, 212)(92, 214)(93, 251)(94, 266)(95, 213)(96, 236)(97, 231)(98, 255)(99, 221)(100, 220)(101, 252)(102, 243)(103, 258)(104, 274)(105, 224)(106, 269)(107, 265)(108, 225)(109, 229)(110, 228)(111, 270)(112, 253)(113, 261)(114, 272)(115, 241)(116, 248)(117, 279)(118, 273)(119, 238)(120, 276)(121, 237)(122, 263)(123, 262)(124, 282)(125, 277)(126, 242)(127, 280)(128, 247)(129, 267)(130, 260)(131, 281)(132, 284)(133, 250)(134, 271)(135, 257)(136, 278)(137, 283)(138, 286)(139, 275)(140, 264)(141, 287)(142, 268)(143, 288)(144, 285)
	local type(s) :: { ( 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3 ) }
Outer automorphisms :: reflexible
Dual of E10.841
Transitivity :: ET+ VT+ AT
Graph::
	v = 6 e = 144 f = 120
	degree seq :: [ 48^6 ]

E10.846 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 3, 24})
Quotient :: loop
Aut^+ = C3 x GL(2,3) (small group id <144, 122>)
Aut   = $<288, 847>$ (small group id <288, 847>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, (T2 * T1^-1)^3, T1^-2 * T2 * T1^4 * T2 * T1^-2, T1^24 ]
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, 13, 157)(10, 154, 19, 163)(11, 155, 22, 166)(14, 158, 23, 167)(15, 159, 28, 172)(17, 161, 30, 174)(18, 162, 33, 177)(20, 164, 35, 179)(21, 165, 38, 182)(24, 168, 39, 183)(25, 169, 44, 188)(26, 170, 45, 189)(27, 171, 47, 191)(29, 173, 48, 192)(31, 175, 52, 196)(32, 176, 54, 198)(34, 178, 56, 200)(36, 180, 53, 197)(37, 181, 59, 203)(40, 184, 60, 204)(41, 185, 63, 207)(42, 186, 64, 208)(43, 187, 65, 209)(46, 190, 68, 212)(49, 193, 69, 213)(50, 194, 72, 216)(51, 195, 74, 218)(55, 199, 75, 219)(57, 201, 73, 217)(58, 202, 81, 225)(61, 205, 84, 228)(62, 206, 85, 229)(66, 210, 88, 232)(67, 211, 90, 234)(70, 214, 93, 237)(71, 215, 94, 238)(76, 220, 82, 226)(77, 221, 98, 242)(78, 222, 87, 231)(79, 223, 95, 239)(80, 224, 102, 246)(83, 227, 104, 248)(86, 230, 106, 250)(89, 233, 109, 253)(91, 235, 112, 256)(92, 236, 113, 257)(96, 240, 115, 259)(97, 241, 117, 261)(99, 243, 119, 263)(100, 244, 118, 262)(101, 245, 122, 266)(103, 247, 123, 267)(105, 249, 124, 268)(107, 251, 126, 270)(108, 252, 128, 272)(110, 254, 129, 273)(111, 255, 121, 265)(114, 258, 131, 275)(116, 260, 133, 277)(120, 264, 130, 274)(125, 269, 138, 282)(127, 271, 135, 279)(132, 276, 140, 284)(134, 278, 136, 280)(137, 281, 141, 285)(139, 283, 143, 287)(142, 286, 144, 288)
	L = (1, 146)(2, 149)(3, 151)(4, 145)(5, 155)(6, 157)(7, 159)(8, 147)(9, 162)(10, 148)(11, 165)(12, 167)(13, 169)(14, 150)(15, 171)(16, 153)(17, 152)(18, 176)(19, 178)(20, 154)(21, 181)(22, 183)(23, 185)(24, 156)(25, 187)(26, 158)(27, 182)(28, 192)(29, 160)(30, 195)(31, 161)(32, 184)(33, 163)(34, 186)(35, 190)(36, 164)(37, 202)(38, 204)(39, 205)(40, 166)(41, 206)(42, 168)(43, 203)(44, 174)(45, 211)(46, 170)(47, 213)(48, 214)(49, 172)(50, 173)(51, 215)(52, 217)(53, 175)(54, 219)(55, 177)(56, 179)(57, 180)(58, 224)(59, 191)(60, 226)(61, 227)(62, 225)(63, 189)(64, 231)(65, 232)(66, 188)(67, 233)(68, 197)(69, 235)(70, 236)(71, 193)(72, 239)(73, 194)(74, 196)(75, 241)(76, 198)(77, 199)(78, 200)(79, 201)(80, 245)(81, 209)(82, 247)(83, 246)(84, 208)(85, 250)(86, 207)(87, 251)(88, 252)(89, 210)(90, 212)(91, 255)(92, 220)(93, 216)(94, 259)(95, 221)(96, 218)(97, 249)(98, 262)(99, 222)(100, 223)(101, 265)(102, 229)(103, 266)(104, 268)(105, 228)(106, 269)(107, 230)(108, 271)(109, 273)(110, 234)(111, 267)(112, 238)(113, 275)(114, 237)(115, 276)(116, 240)(117, 242)(118, 243)(119, 274)(120, 244)(121, 279)(122, 248)(123, 257)(124, 280)(125, 281)(126, 263)(127, 256)(128, 253)(129, 260)(130, 254)(131, 283)(132, 258)(133, 264)(134, 261)(135, 285)(136, 286)(137, 272)(138, 270)(139, 278)(140, 277)(141, 288)(142, 282)(143, 284)(144, 287)
	local type(s) :: { ( 3, 24, 3, 24 ) }
Outer automorphisms :: reflexible
Dual of E10.842
Transitivity :: ET+ VT+ AT
Graph:: simple
	v = 72 e = 144 f = 54
	degree seq :: [ 4^72 ]

E10.847 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 24})
Quotient :: dipole
Aut^+ = C3 x GL(2,3) (small group id <144, 122>)
Aut   = $<288, 847>$ (small group id <288, 847>)
|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^-1 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1, (Y2 * Y1 * Y2^-1 * Y1)^6, (Y3 * Y2^-1)^24 ]
Map::
	R = (1, 145, 2, 146)(3, 147, 7, 151)(4, 148, 8, 152)(5, 149, 9, 153)(6, 150, 10, 154)(11, 155, 19, 163)(12, 156, 20, 164)(13, 157, 21, 165)(14, 158, 22, 166)(15, 159, 23, 167)(16, 160, 24, 168)(17, 161, 25, 169)(18, 162, 26, 170)(27, 171, 43, 187)(28, 172, 44, 188)(29, 173, 45, 189)(30, 174, 46, 190)(31, 175, 47, 191)(32, 176, 48, 192)(33, 177, 49, 193)(34, 178, 50, 194)(35, 179, 51, 195)(36, 180, 52, 196)(37, 181, 53, 197)(38, 182, 54, 198)(39, 183, 55, 199)(40, 184, 56, 200)(41, 185, 57, 201)(42, 186, 58, 202)(59, 203, 75, 219)(60, 204, 83, 227)(61, 205, 91, 235)(62, 206, 87, 231)(63, 207, 92, 236)(64, 208, 93, 237)(65, 209, 94, 238)(66, 210, 89, 233)(67, 211, 76, 220)(68, 212, 95, 239)(69, 213, 96, 240)(70, 214, 97, 241)(71, 215, 78, 222)(72, 216, 98, 242)(73, 217, 82, 226)(74, 218, 90, 234)(77, 221, 99, 243)(79, 223, 100, 244)(80, 224, 101, 245)(81, 225, 102, 246)(84, 228, 103, 247)(85, 229, 104, 248)(86, 230, 105, 249)(88, 232, 106, 250)(107, 251, 127, 271)(108, 252, 123, 267)(109, 253, 128, 272)(110, 254, 129, 273)(111, 255, 125, 269)(112, 256, 130, 274)(113, 257, 118, 262)(114, 258, 131, 275)(115, 259, 121, 265)(116, 260, 132, 276)(117, 261, 133, 277)(119, 263, 134, 278)(120, 264, 135, 279)(122, 266, 136, 280)(124, 268, 137, 281)(126, 270, 138, 282)(139, 283, 142, 286)(140, 284, 143, 287)(141, 285, 144, 288)(289, 433, 291, 435, 292, 436)(290, 434, 293, 437, 294, 438)(295, 439, 299, 443, 300, 444)(296, 440, 301, 445, 302, 446)(297, 441, 303, 447, 304, 448)(298, 442, 305, 449, 306, 450)(307, 451, 315, 459, 316, 460)(308, 452, 317, 461, 318, 462)(309, 453, 319, 463, 320, 464)(310, 454, 321, 465, 322, 466)(311, 455, 323, 467, 324, 468)(312, 456, 325, 469, 326, 470)(313, 457, 327, 471, 328, 472)(314, 458, 329, 473, 330, 474)(331, 475, 347, 491, 348, 492)(332, 476, 349, 493, 350, 494)(333, 477, 351, 495, 352, 496)(334, 478, 353, 497, 354, 498)(335, 479, 355, 499, 356, 500)(336, 480, 357, 501, 358, 502)(337, 481, 359, 503, 360, 504)(338, 482, 361, 505, 362, 506)(339, 483, 363, 507, 364, 508)(340, 484, 365, 509, 366, 510)(341, 485, 367, 511, 368, 512)(342, 486, 369, 513, 370, 514)(343, 487, 371, 515, 372, 516)(344, 488, 373, 517, 374, 518)(345, 489, 375, 519, 376, 520)(346, 490, 377, 521, 378, 522)(379, 523, 395, 539, 396, 540)(380, 524, 383, 527, 397, 541)(381, 525, 398, 542, 399, 543)(382, 526, 385, 529, 400, 544)(384, 528, 401, 545, 402, 546)(386, 530, 403, 547, 404, 548)(387, 531, 405, 549, 406, 550)(388, 532, 391, 535, 407, 551)(389, 533, 408, 552, 409, 553)(390, 534, 393, 537, 410, 554)(392, 536, 411, 555, 412, 556)(394, 538, 413, 557, 414, 558)(415, 559, 416, 560, 427, 571)(417, 561, 419, 563, 428, 572)(418, 562, 420, 564, 429, 573)(421, 565, 422, 566, 430, 574)(423, 567, 425, 569, 431, 575)(424, 568, 426, 570, 432, 576)
	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, 363)(60, 371)(61, 379)(62, 375)(63, 380)(64, 381)(65, 382)(66, 377)(67, 364)(68, 383)(69, 384)(70, 385)(71, 366)(72, 386)(73, 370)(74, 378)(75, 347)(76, 355)(77, 387)(78, 359)(79, 388)(80, 389)(81, 390)(82, 361)(83, 348)(84, 391)(85, 392)(86, 393)(87, 350)(88, 394)(89, 354)(90, 362)(91, 349)(92, 351)(93, 352)(94, 353)(95, 356)(96, 357)(97, 358)(98, 360)(99, 365)(100, 367)(101, 368)(102, 369)(103, 372)(104, 373)(105, 374)(106, 376)(107, 415)(108, 411)(109, 416)(110, 417)(111, 413)(112, 418)(113, 406)(114, 419)(115, 409)(116, 420)(117, 421)(118, 401)(119, 422)(120, 423)(121, 403)(122, 424)(123, 396)(124, 425)(125, 399)(126, 426)(127, 395)(128, 397)(129, 398)(130, 400)(131, 402)(132, 404)(133, 405)(134, 407)(135, 408)(136, 410)(137, 412)(138, 414)(139, 430)(140, 431)(141, 432)(142, 427)(143, 428)(144, 429)(145, 433)(146, 434)(147, 435)(148, 436)(149, 437)(150, 438)(151, 439)(152, 440)(153, 441)(154, 442)(155, 443)(156, 444)(157, 445)(158, 446)(159, 447)(160, 448)(161, 449)(162, 450)(163, 451)(164, 452)(165, 453)(166, 454)(167, 455)(168, 456)(169, 457)(170, 458)(171, 459)(172, 460)(173, 461)(174, 462)(175, 463)(176, 464)(177, 465)(178, 466)(179, 467)(180, 468)(181, 469)(182, 470)(183, 471)(184, 472)(185, 473)(186, 474)(187, 475)(188, 476)(189, 477)(190, 478)(191, 479)(192, 480)(193, 481)(194, 482)(195, 483)(196, 484)(197, 485)(198, 486)(199, 487)(200, 488)(201, 489)(202, 490)(203, 491)(204, 492)(205, 493)(206, 494)(207, 495)(208, 496)(209, 497)(210, 498)(211, 499)(212, 500)(213, 501)(214, 502)(215, 503)(216, 504)(217, 505)(218, 506)(219, 507)(220, 508)(221, 509)(222, 510)(223, 511)(224, 512)(225, 513)(226, 514)(227, 515)(228, 516)(229, 517)(230, 518)(231, 519)(232, 520)(233, 521)(234, 522)(235, 523)(236, 524)(237, 525)(238, 526)(239, 527)(240, 528)(241, 529)(242, 530)(243, 531)(244, 532)(245, 533)(246, 534)(247, 535)(248, 536)(249, 537)(250, 538)(251, 539)(252, 540)(253, 541)(254, 542)(255, 543)(256, 544)(257, 545)(258, 546)(259, 547)(260, 548)(261, 549)(262, 550)(263, 551)(264, 552)(265, 553)(266, 554)(267, 555)(268, 556)(269, 557)(270, 558)(271, 559)(272, 560)(273, 561)(274, 562)(275, 563)(276, 564)(277, 565)(278, 566)(279, 567)(280, 568)(281, 569)(282, 570)(283, 571)(284, 572)(285, 573)(286, 574)(287, 575)(288, 576)
	local type(s) :: { ( 2, 48, 2, 48 ), ( 2, 48, 2, 48, 2, 48 ) }
Outer automorphisms :: reflexible
Dual of E10.850
Graph:: bipartite
	v = 120 e = 288 f = 150
	degree seq :: [ 4^72, 6^48 ]

E10.848 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 24})
Quotient :: dipole
Aut^+ = C3 x GL(2,3) (small group id <144, 122>)
Aut   = $<288, 847>$ (small group id <288, 847>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, Y1^3, (R * Y3)^2, (Y2 * Y1)^2, (R * Y1)^2, (Y3^-1 * Y1^-1)^2, Y1^-1 * Y2^3 * Y1^-1 * Y2^-5, Y1^-1 * Y2^3 * Y1^-1 * Y2^19 ]
Map::
	R = (1, 145, 2, 146, 4, 148)(3, 147, 8, 152, 10, 154)(5, 149, 12, 156, 6, 150)(7, 151, 15, 159, 11, 155)(9, 153, 18, 162, 20, 164)(13, 157, 25, 169, 23, 167)(14, 158, 24, 168, 28, 172)(16, 160, 31, 175, 29, 173)(17, 161, 33, 177, 21, 165)(19, 163, 36, 180, 38, 182)(22, 166, 30, 174, 42, 186)(26, 170, 47, 191, 45, 189)(27, 171, 49, 193, 51, 195)(32, 176, 57, 201, 55, 199)(34, 178, 61, 205, 59, 203)(35, 179, 63, 207, 39, 183)(37, 181, 50, 194, 67, 211)(40, 184, 60, 204, 71, 215)(41, 185, 72, 216, 66, 210)(43, 187, 46, 190, 74, 218)(44, 188, 75, 219, 52, 196)(48, 192, 58, 202, 62, 206)(53, 197, 56, 200, 82, 226)(54, 198, 83, 227, 73, 217)(64, 208, 78, 222, 89, 233)(65, 209, 91, 235, 68, 212)(69, 213, 90, 234, 95, 239)(70, 214, 96, 240, 92, 236)(76, 220, 86, 230, 100, 244)(77, 221, 102, 246, 99, 243)(79, 223, 105, 249, 80, 224)(81, 225, 101, 245, 108, 252)(84, 228, 88, 232, 110, 254)(85, 229, 112, 256, 109, 253)(87, 231, 115, 259, 97, 241)(93, 237, 107, 251, 121, 265)(94, 238, 122, 266, 119, 263)(98, 242, 111, 255, 126, 270)(103, 247, 114, 258, 128, 272)(104, 248, 130, 274, 116, 260)(106, 250, 125, 269, 133, 277)(113, 257, 117, 261, 135, 279)(118, 262, 129, 273, 123, 267)(120, 264, 132, 276, 140, 284)(124, 268, 138, 282, 142, 286)(127, 271, 136, 280, 134, 278)(131, 275, 137, 281, 139, 283)(141, 285, 143, 287, 144, 288)(289, 433, 291, 435, 297, 441, 307, 451, 325, 469, 354, 498, 380, 524, 407, 551, 428, 572, 421, 565, 414, 558, 430, 574, 432, 576, 424, 568, 400, 544, 423, 567, 425, 569, 402, 546, 374, 518, 345, 489, 336, 480, 314, 458, 301, 445, 293, 437)(290, 434, 294, 438, 302, 446, 315, 459, 338, 482, 326, 470, 356, 500, 381, 525, 408, 552, 410, 554, 383, 527, 411, 555, 429, 573, 426, 570, 403, 547, 418, 562, 427, 571, 405, 549, 376, 520, 349, 493, 346, 490, 320, 464, 304, 448, 295, 439)(292, 436, 299, 443, 310, 454, 329, 473, 355, 499, 339, 483, 368, 512, 394, 538, 420, 564, 409, 553, 396, 540, 422, 566, 431, 575, 417, 561, 390, 534, 416, 560, 419, 563, 392, 536, 366, 510, 335, 479, 350, 494, 322, 466, 305, 449, 296, 440)(298, 442, 309, 453, 328, 472, 358, 502, 360, 504, 330, 474, 361, 505, 386, 530, 413, 557, 393, 537, 370, 514, 397, 541, 415, 559, 389, 533, 363, 507, 388, 532, 391, 535, 365, 509, 334, 478, 313, 457, 333, 477, 352, 496, 323, 467, 306, 450)(300, 444, 311, 455, 331, 475, 353, 497, 324, 468, 308, 452, 327, 471, 357, 501, 382, 526, 384, 528, 359, 503, 385, 529, 412, 556, 399, 543, 371, 515, 398, 542, 401, 545, 373, 517, 344, 488, 319, 463, 343, 487, 364, 508, 332, 476, 312, 456)(303, 447, 317, 461, 341, 485, 367, 511, 337, 481, 316, 460, 340, 484, 369, 513, 395, 539, 379, 523, 362, 506, 387, 531, 406, 550, 378, 522, 351, 495, 377, 521, 404, 548, 375, 519, 348, 492, 321, 465, 347, 491, 372, 516, 342, 486, 318, 462)
	L = (1, 291)(2, 294)(3, 297)(4, 299)(5, 289)(6, 302)(7, 290)(8, 292)(9, 307)(10, 309)(11, 310)(12, 311)(13, 293)(14, 315)(15, 317)(16, 295)(17, 296)(18, 298)(19, 325)(20, 327)(21, 328)(22, 329)(23, 331)(24, 300)(25, 333)(26, 301)(27, 338)(28, 340)(29, 341)(30, 303)(31, 343)(32, 304)(33, 347)(34, 305)(35, 306)(36, 308)(37, 354)(38, 356)(39, 357)(40, 358)(41, 355)(42, 361)(43, 353)(44, 312)(45, 352)(46, 313)(47, 350)(48, 314)(49, 316)(50, 326)(51, 368)(52, 369)(53, 367)(54, 318)(55, 364)(56, 319)(57, 336)(58, 320)(59, 372)(60, 321)(61, 346)(62, 322)(63, 377)(64, 323)(65, 324)(66, 380)(67, 339)(68, 381)(69, 382)(70, 360)(71, 385)(72, 330)(73, 386)(74, 387)(75, 388)(76, 332)(77, 334)(78, 335)(79, 337)(80, 394)(81, 395)(82, 397)(83, 398)(84, 342)(85, 344)(86, 345)(87, 348)(88, 349)(89, 404)(90, 351)(91, 362)(92, 407)(93, 408)(94, 384)(95, 411)(96, 359)(97, 412)(98, 413)(99, 406)(100, 391)(101, 363)(102, 416)(103, 365)(104, 366)(105, 370)(106, 420)(107, 379)(108, 422)(109, 415)(110, 401)(111, 371)(112, 423)(113, 373)(114, 374)(115, 418)(116, 375)(117, 376)(118, 378)(119, 428)(120, 410)(121, 396)(122, 383)(123, 429)(124, 399)(125, 393)(126, 430)(127, 389)(128, 419)(129, 390)(130, 427)(131, 392)(132, 409)(133, 414)(134, 431)(135, 425)(136, 400)(137, 402)(138, 403)(139, 405)(140, 421)(141, 426)(142, 432)(143, 417)(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) :: { ( 2, 4, 2, 4, 2, 4 ), ( 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 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 E10.849
Graph:: bipartite
	v = 54 e = 288 f = 216
	degree seq :: [ 6^48, 48^6 ]

E10.849 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 24})
Quotient :: dipole
Aut^+ = C3 x GL(2,3) (small group id <144, 122>)
Aut   = $<288, 847>$ (small group id <288, 847>)
|r| :: 2
Presentation :: [ Y1, Y2^2, R^2, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, (Y3 * Y2)^3, Y3^-2 * Y2 * Y3^4 * Y2 * Y3^-2, (Y3^-1 * Y1^-1)^24 ]
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, 304, 448)(298, 442, 307, 451)(300, 444, 310, 454)(302, 446, 313, 457)(303, 447, 315, 459)(305, 449, 318, 462)(306, 450, 320, 464)(308, 452, 323, 467)(309, 453, 325, 469)(311, 455, 328, 472)(312, 456, 330, 474)(314, 458, 333, 477)(316, 460, 336, 480)(317, 461, 338, 482)(319, 463, 329, 473)(321, 465, 343, 487)(322, 466, 344, 488)(324, 468, 334, 478)(326, 470, 347, 491)(327, 471, 349, 493)(331, 475, 354, 498)(332, 476, 355, 499)(335, 479, 357, 501)(337, 481, 356, 500)(339, 483, 361, 505)(340, 484, 352, 496)(341, 485, 351, 495)(342, 486, 363, 507)(345, 489, 348, 492)(346, 490, 368, 512)(350, 494, 372, 516)(353, 497, 374, 518)(358, 502, 380, 524)(359, 503, 378, 522)(360, 504, 381, 525)(362, 506, 376, 520)(364, 508, 386, 530)(365, 509, 373, 517)(366, 510, 383, 527)(367, 511, 370, 514)(369, 513, 390, 534)(371, 515, 391, 535)(375, 519, 396, 540)(377, 521, 393, 537)(379, 523, 399, 543)(382, 526, 403, 547)(384, 528, 401, 545)(385, 529, 405, 549)(387, 531, 407, 551)(388, 532, 406, 550)(389, 533, 409, 553)(392, 536, 413, 557)(394, 538, 411, 555)(395, 539, 415, 559)(397, 541, 417, 561)(398, 542, 416, 560)(400, 544, 420, 564)(402, 546, 421, 565)(404, 548, 414, 558)(408, 552, 418, 562)(410, 554, 424, 568)(412, 556, 425, 569)(419, 563, 427, 571)(422, 566, 428, 572)(423, 567, 429, 573)(426, 570, 430, 574)(431, 575, 432, 576)
	L = (1, 291)(2, 293)(3, 296)(4, 289)(5, 300)(6, 290)(7, 301)(8, 305)(9, 306)(10, 292)(11, 297)(12, 311)(13, 312)(14, 294)(15, 295)(16, 315)(17, 319)(18, 321)(19, 322)(20, 298)(21, 299)(22, 325)(23, 329)(24, 331)(25, 332)(26, 302)(27, 335)(28, 303)(29, 304)(30, 338)(31, 341)(32, 307)(33, 340)(34, 339)(35, 337)(36, 308)(37, 346)(38, 309)(39, 310)(40, 349)(41, 352)(42, 313)(43, 351)(44, 350)(45, 348)(46, 314)(47, 358)(48, 359)(49, 316)(50, 360)(51, 317)(52, 318)(53, 362)(54, 320)(55, 363)(56, 323)(57, 324)(58, 369)(59, 370)(60, 326)(61, 371)(62, 327)(63, 328)(64, 373)(65, 330)(66, 374)(67, 333)(68, 334)(69, 336)(70, 376)(71, 375)(72, 382)(73, 383)(74, 384)(75, 385)(76, 342)(77, 343)(78, 344)(79, 345)(80, 347)(81, 365)(82, 364)(83, 392)(84, 393)(85, 394)(86, 395)(87, 353)(88, 354)(89, 355)(90, 356)(91, 357)(92, 399)(93, 361)(94, 401)(95, 400)(96, 404)(97, 402)(98, 406)(99, 366)(100, 367)(101, 368)(102, 409)(103, 372)(104, 411)(105, 410)(106, 414)(107, 412)(108, 416)(109, 377)(110, 378)(111, 419)(112, 379)(113, 380)(114, 381)(115, 421)(116, 413)(117, 386)(118, 387)(119, 418)(120, 388)(121, 423)(122, 389)(123, 390)(124, 391)(125, 425)(126, 403)(127, 396)(128, 397)(129, 408)(130, 398)(131, 426)(132, 407)(133, 428)(134, 405)(135, 422)(136, 417)(137, 430)(138, 415)(139, 420)(140, 431)(141, 424)(142, 432)(143, 427)(144, 429)(145, 433)(146, 434)(147, 435)(148, 436)(149, 437)(150, 438)(151, 439)(152, 440)(153, 441)(154, 442)(155, 443)(156, 444)(157, 445)(158, 446)(159, 447)(160, 448)(161, 449)(162, 450)(163, 451)(164, 452)(165, 453)(166, 454)(167, 455)(168, 456)(169, 457)(170, 458)(171, 459)(172, 460)(173, 461)(174, 462)(175, 463)(176, 464)(177, 465)(178, 466)(179, 467)(180, 468)(181, 469)(182, 470)(183, 471)(184, 472)(185, 473)(186, 474)(187, 475)(188, 476)(189, 477)(190, 478)(191, 479)(192, 480)(193, 481)(194, 482)(195, 483)(196, 484)(197, 485)(198, 486)(199, 487)(200, 488)(201, 489)(202, 490)(203, 491)(204, 492)(205, 493)(206, 494)(207, 495)(208, 496)(209, 497)(210, 498)(211, 499)(212, 500)(213, 501)(214, 502)(215, 503)(216, 504)(217, 505)(218, 506)(219, 507)(220, 508)(221, 509)(222, 510)(223, 511)(224, 512)(225, 513)(226, 514)(227, 515)(228, 516)(229, 517)(230, 518)(231, 519)(232, 520)(233, 521)(234, 522)(235, 523)(236, 524)(237, 525)(238, 526)(239, 527)(240, 528)(241, 529)(242, 530)(243, 531)(244, 532)(245, 533)(246, 534)(247, 535)(248, 536)(249, 537)(250, 538)(251, 539)(252, 540)(253, 541)(254, 542)(255, 543)(256, 544)(257, 545)(258, 546)(259, 547)(260, 548)(261, 549)(262, 550)(263, 551)(264, 552)(265, 553)(266, 554)(267, 555)(268, 556)(269, 557)(270, 558)(271, 559)(272, 560)(273, 561)(274, 562)(275, 563)(276, 564)(277, 565)(278, 566)(279, 567)(280, 568)(281, 569)(282, 570)(283, 571)(284, 572)(285, 573)(286, 574)(287, 575)(288, 576)
	local type(s) :: { ( 6, 48 ), ( 6, 48, 6, 48 ) }
Outer automorphisms :: reflexible
Dual of E10.848
Graph:: simple bipartite
	v = 216 e = 288 f = 54
	degree seq :: [ 2^144, 4^72 ]

E10.850 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 24})
Quotient :: dipole
Aut^+ = C3 x GL(2,3) (small group id <144, 122>)
Aut   = $<288, 847>$ (small group id <288, 847>)
|r| :: 2
Presentation :: [ Y2, R^2, Y3^2, R * Y2 * R * Y2^-1, (R * Y1)^2, (R * Y3)^2, (Y3 * Y2^-1)^2, (Y3 * Y1^-1)^3, Y3 * Y1^4 * Y3 * Y1^-4, Y1^24 ]
Map:: polytopal
	R = (1, 145, 2, 146, 5, 149, 11, 155, 21, 165, 37, 181, 58, 202, 80, 224, 101, 245, 121, 265, 135, 279, 141, 285, 144, 288, 143, 287, 140, 284, 133, 277, 120, 264, 100, 244, 79, 223, 57, 201, 36, 180, 20, 164, 10, 154, 4, 148)(3, 147, 7, 151, 15, 159, 27, 171, 38, 182, 60, 204, 82, 226, 103, 247, 122, 266, 104, 248, 124, 268, 136, 280, 142, 286, 138, 282, 126, 270, 119, 263, 130, 274, 110, 254, 90, 234, 68, 212, 53, 197, 31, 175, 17, 161, 8, 152)(6, 150, 13, 157, 25, 169, 43, 187, 59, 203, 47, 191, 69, 213, 91, 235, 111, 255, 123, 267, 113, 257, 131, 275, 139, 283, 134, 278, 117, 261, 98, 242, 118, 262, 99, 243, 78, 222, 56, 200, 35, 179, 46, 190, 26, 170, 14, 158)(9, 153, 18, 162, 32, 176, 40, 184, 22, 166, 39, 183, 61, 205, 83, 227, 102, 246, 85, 229, 106, 250, 125, 269, 137, 281, 128, 272, 109, 253, 129, 273, 116, 260, 96, 240, 74, 218, 52, 196, 73, 217, 50, 194, 29, 173, 16, 160)(12, 156, 23, 167, 41, 185, 62, 206, 81, 225, 65, 209, 88, 232, 108, 252, 127, 271, 112, 256, 94, 238, 115, 259, 132, 276, 114, 258, 93, 237, 72, 216, 95, 239, 77, 221, 55, 199, 33, 177, 19, 163, 34, 178, 42, 186, 24, 168)(28, 172, 48, 192, 70, 214, 92, 236, 76, 220, 54, 198, 75, 219, 97, 241, 105, 249, 84, 228, 64, 208, 87, 231, 107, 251, 86, 230, 63, 207, 45, 189, 67, 211, 89, 233, 66, 210, 44, 188, 30, 174, 51, 195, 71, 215, 49, 193)(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, 301)(9, 292)(10, 307)(11, 310)(12, 293)(13, 296)(14, 311)(15, 316)(16, 295)(17, 318)(18, 321)(19, 298)(20, 323)(21, 326)(22, 299)(23, 302)(24, 327)(25, 332)(26, 333)(27, 335)(28, 303)(29, 336)(30, 305)(31, 340)(32, 342)(33, 306)(34, 344)(35, 308)(36, 341)(37, 347)(38, 309)(39, 312)(40, 348)(41, 351)(42, 352)(43, 353)(44, 313)(45, 314)(46, 356)(47, 315)(48, 317)(49, 357)(50, 360)(51, 362)(52, 319)(53, 324)(54, 320)(55, 363)(56, 322)(57, 361)(58, 369)(59, 325)(60, 328)(61, 372)(62, 373)(63, 329)(64, 330)(65, 331)(66, 376)(67, 378)(68, 334)(69, 337)(70, 381)(71, 382)(72, 338)(73, 345)(74, 339)(75, 343)(76, 370)(77, 386)(78, 375)(79, 383)(80, 390)(81, 346)(82, 364)(83, 392)(84, 349)(85, 350)(86, 394)(87, 366)(88, 354)(89, 397)(90, 355)(91, 400)(92, 401)(93, 358)(94, 359)(95, 367)(96, 403)(97, 405)(98, 365)(99, 407)(100, 406)(101, 410)(102, 368)(103, 411)(104, 371)(105, 412)(106, 374)(107, 414)(108, 416)(109, 377)(110, 417)(111, 409)(112, 379)(113, 380)(114, 419)(115, 384)(116, 421)(117, 385)(118, 388)(119, 387)(120, 418)(121, 399)(122, 389)(123, 391)(124, 393)(125, 426)(126, 395)(127, 423)(128, 396)(129, 398)(130, 408)(131, 402)(132, 428)(133, 404)(134, 424)(135, 415)(136, 422)(137, 429)(138, 413)(139, 431)(140, 420)(141, 425)(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, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 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 E10.847
Graph:: simple bipartite
	v = 150 e = 288 f = 120
	degree seq :: [ 2^144, 48^6 ]

E10.851 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 24})
Quotient :: dipole
Aut^+ = C3 x GL(2,3) (small group id <144, 122>)
Aut   = $<288, 847>$ (small group id <288, 847>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, (Y2^-1 * Y1)^3, (Y3 * Y2^-1)^3, Y2^-1 * Y1 * Y2^4 * Y1 * Y2^-3, Y2^24 ]
Map::
	R = (1, 145, 2, 146)(3, 147, 7, 151)(4, 148, 9, 153)(5, 149, 11, 155)(6, 150, 13, 157)(8, 152, 16, 160)(10, 154, 19, 163)(12, 156, 22, 166)(14, 158, 25, 169)(15, 159, 27, 171)(17, 161, 30, 174)(18, 162, 32, 176)(20, 164, 35, 179)(21, 165, 37, 181)(23, 167, 40, 184)(24, 168, 42, 186)(26, 170, 45, 189)(28, 172, 48, 192)(29, 173, 50, 194)(31, 175, 41, 185)(33, 177, 55, 199)(34, 178, 56, 200)(36, 180, 46, 190)(38, 182, 59, 203)(39, 183, 61, 205)(43, 187, 66, 210)(44, 188, 67, 211)(47, 191, 69, 213)(49, 193, 68, 212)(51, 195, 73, 217)(52, 196, 64, 208)(53, 197, 63, 207)(54, 198, 75, 219)(57, 201, 60, 204)(58, 202, 80, 224)(62, 206, 84, 228)(65, 209, 86, 230)(70, 214, 92, 236)(71, 215, 90, 234)(72, 216, 93, 237)(74, 218, 88, 232)(76, 220, 98, 242)(77, 221, 85, 229)(78, 222, 95, 239)(79, 223, 82, 226)(81, 225, 102, 246)(83, 227, 103, 247)(87, 231, 108, 252)(89, 233, 105, 249)(91, 235, 111, 255)(94, 238, 115, 259)(96, 240, 113, 257)(97, 241, 117, 261)(99, 243, 119, 263)(100, 244, 118, 262)(101, 245, 121, 265)(104, 248, 125, 269)(106, 250, 123, 267)(107, 251, 127, 271)(109, 253, 129, 273)(110, 254, 128, 272)(112, 256, 132, 276)(114, 258, 133, 277)(116, 260, 126, 270)(120, 264, 130, 274)(122, 266, 136, 280)(124, 268, 137, 281)(131, 275, 139, 283)(134, 278, 140, 284)(135, 279, 141, 285)(138, 282, 142, 286)(143, 287, 144, 288)(289, 433, 291, 435, 296, 440, 305, 449, 319, 463, 341, 485, 362, 506, 384, 528, 404, 548, 413, 557, 425, 569, 430, 574, 432, 576, 429, 573, 424, 568, 417, 561, 408, 552, 388, 532, 367, 511, 345, 489, 324, 468, 308, 452, 298, 442, 292, 436)(290, 434, 293, 437, 300, 444, 311, 455, 329, 473, 352, 496, 373, 517, 394, 538, 414, 558, 403, 547, 421, 565, 428, 572, 431, 575, 427, 571, 420, 564, 407, 551, 418, 562, 398, 542, 378, 522, 356, 500, 334, 478, 314, 458, 302, 446, 294, 438)(295, 439, 301, 445, 312, 456, 331, 475, 351, 495, 328, 472, 349, 493, 371, 515, 392, 536, 411, 555, 390, 534, 409, 553, 423, 567, 422, 566, 405, 549, 386, 530, 406, 550, 387, 531, 366, 510, 344, 488, 323, 467, 337, 481, 316, 460, 303, 447)(297, 441, 306, 450, 321, 465, 340, 484, 318, 462, 338, 482, 360, 504, 382, 526, 401, 545, 380, 524, 399, 543, 419, 563, 426, 570, 415, 559, 396, 540, 416, 560, 397, 541, 377, 521, 355, 499, 333, 477, 348, 492, 326, 470, 309, 453, 299, 443)(304, 448, 315, 459, 335, 479, 358, 502, 376, 520, 354, 498, 374, 518, 395, 539, 412, 556, 391, 535, 372, 516, 393, 537, 410, 554, 389, 533, 368, 512, 347, 491, 370, 514, 364, 508, 342, 486, 320, 464, 307, 451, 322, 466, 339, 483, 317, 461)(310, 454, 325, 469, 346, 490, 369, 513, 365, 509, 343, 487, 363, 507, 385, 529, 402, 546, 381, 525, 361, 505, 383, 527, 400, 544, 379, 523, 357, 501, 336, 480, 359, 503, 375, 519, 353, 497, 330, 474, 313, 457, 332, 476, 350, 494, 327, 471)
	L = (1, 290)(2, 289)(3, 295)(4, 297)(5, 299)(6, 301)(7, 291)(8, 304)(9, 292)(10, 307)(11, 293)(12, 310)(13, 294)(14, 313)(15, 315)(16, 296)(17, 318)(18, 320)(19, 298)(20, 323)(21, 325)(22, 300)(23, 328)(24, 330)(25, 302)(26, 333)(27, 303)(28, 336)(29, 338)(30, 305)(31, 329)(32, 306)(33, 343)(34, 344)(35, 308)(36, 334)(37, 309)(38, 347)(39, 349)(40, 311)(41, 319)(42, 312)(43, 354)(44, 355)(45, 314)(46, 324)(47, 357)(48, 316)(49, 356)(50, 317)(51, 361)(52, 352)(53, 351)(54, 363)(55, 321)(56, 322)(57, 348)(58, 368)(59, 326)(60, 345)(61, 327)(62, 372)(63, 341)(64, 340)(65, 374)(66, 331)(67, 332)(68, 337)(69, 335)(70, 380)(71, 378)(72, 381)(73, 339)(74, 376)(75, 342)(76, 386)(77, 373)(78, 383)(79, 370)(80, 346)(81, 390)(82, 367)(83, 391)(84, 350)(85, 365)(86, 353)(87, 396)(88, 362)(89, 393)(90, 359)(91, 399)(92, 358)(93, 360)(94, 403)(95, 366)(96, 401)(97, 405)(98, 364)(99, 407)(100, 406)(101, 409)(102, 369)(103, 371)(104, 413)(105, 377)(106, 411)(107, 415)(108, 375)(109, 417)(110, 416)(111, 379)(112, 420)(113, 384)(114, 421)(115, 382)(116, 414)(117, 385)(118, 388)(119, 387)(120, 418)(121, 389)(122, 424)(123, 394)(124, 425)(125, 392)(126, 404)(127, 395)(128, 398)(129, 397)(130, 408)(131, 427)(132, 400)(133, 402)(134, 428)(135, 429)(136, 410)(137, 412)(138, 430)(139, 419)(140, 422)(141, 423)(142, 426)(143, 432)(144, 431)(145, 433)(146, 434)(147, 435)(148, 436)(149, 437)(150, 438)(151, 439)(152, 440)(153, 441)(154, 442)(155, 443)(156, 444)(157, 445)(158, 446)(159, 447)(160, 448)(161, 449)(162, 450)(163, 451)(164, 452)(165, 453)(166, 454)(167, 455)(168, 456)(169, 457)(170, 458)(171, 459)(172, 460)(173, 461)(174, 462)(175, 463)(176, 464)(177, 465)(178, 466)(179, 467)(180, 468)(181, 469)(182, 470)(183, 471)(184, 472)(185, 473)(186, 474)(187, 475)(188, 476)(189, 477)(190, 478)(191, 479)(192, 480)(193, 481)(194, 482)(195, 483)(196, 484)(197, 485)(198, 486)(199, 487)(200, 488)(201, 489)(202, 490)(203, 491)(204, 492)(205, 493)(206, 494)(207, 495)(208, 496)(209, 497)(210, 498)(211, 499)(212, 500)(213, 501)(214, 502)(215, 503)(216, 504)(217, 505)(218, 506)(219, 507)(220, 508)(221, 509)(222, 510)(223, 511)(224, 512)(225, 513)(226, 514)(227, 515)(228, 516)(229, 517)(230, 518)(231, 519)(232, 520)(233, 521)(234, 522)(235, 523)(236, 524)(237, 525)(238, 526)(239, 527)(240, 528)(241, 529)(242, 530)(243, 531)(244, 532)(245, 533)(246, 534)(247, 535)(248, 536)(249, 537)(250, 538)(251, 539)(252, 540)(253, 541)(254, 542)(255, 543)(256, 544)(257, 545)(258, 546)(259, 547)(260, 548)(261, 549)(262, 550)(263, 551)(264, 552)(265, 553)(266, 554)(267, 555)(268, 556)(269, 557)(270, 558)(271, 559)(272, 560)(273, 561)(274, 562)(275, 563)(276, 564)(277, 565)(278, 566)(279, 567)(280, 568)(281, 569)(282, 570)(283, 571)(284, 572)(285, 573)(286, 574)(287, 575)(288, 576)
	local type(s) :: { ( 2, 6, 2, 6 ), ( 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 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 E10.852
Graph:: bipartite
	v = 78 e = 288 f = 192
	degree seq :: [ 4^72, 48^6 ]

E10.852 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 24})
Quotient :: dipole
Aut^+ = C3 x GL(2,3) (small group id <144, 122>)
Aut   = $<288, 847>$ (small group id <288, 847>)
|r| :: 2
Presentation :: [ Y2, R^2, Y1^3, (Y3 * Y1)^2, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y3^-2 * Y1^-1 * Y3^3 * Y1^-1 * Y3^-3, (Y3 * Y2^-1)^24 ]
Map:: polytopal
	R = (1, 145, 2, 146, 4, 148)(3, 147, 8, 152, 10, 154)(5, 149, 12, 156, 6, 150)(7, 151, 15, 159, 11, 155)(9, 153, 18, 162, 20, 164)(13, 157, 25, 169, 23, 167)(14, 158, 24, 168, 28, 172)(16, 160, 31, 175, 29, 173)(17, 161, 33, 177, 21, 165)(19, 163, 36, 180, 38, 182)(22, 166, 30, 174, 42, 186)(26, 170, 47, 191, 45, 189)(27, 171, 49, 193, 51, 195)(32, 176, 57, 201, 55, 199)(34, 178, 61, 205, 59, 203)(35, 179, 63, 207, 39, 183)(37, 181, 50, 194, 67, 211)(40, 184, 60, 204, 71, 215)(41, 185, 72, 216, 66, 210)(43, 187, 46, 190, 74, 218)(44, 188, 75, 219, 52, 196)(48, 192, 58, 202, 62, 206)(53, 197, 56, 200, 82, 226)(54, 198, 83, 227, 73, 217)(64, 208, 78, 222, 89, 233)(65, 209, 91, 235, 68, 212)(69, 213, 90, 234, 95, 239)(70, 214, 96, 240, 92, 236)(76, 220, 86, 230, 100, 244)(77, 221, 102, 246, 99, 243)(79, 223, 105, 249, 80, 224)(81, 225, 101, 245, 108, 252)(84, 228, 88, 232, 110, 254)(85, 229, 112, 256, 109, 253)(87, 231, 115, 259, 97, 241)(93, 237, 107, 251, 121, 265)(94, 238, 122, 266, 119, 263)(98, 242, 111, 255, 126, 270)(103, 247, 114, 258, 128, 272)(104, 248, 130, 274, 116, 260)(106, 250, 125, 269, 133, 277)(113, 257, 117, 261, 135, 279)(118, 262, 129, 273, 123, 267)(120, 264, 132, 276, 140, 284)(124, 268, 138, 282, 142, 286)(127, 271, 136, 280, 134, 278)(131, 275, 137, 281, 139, 283)(141, 285, 143, 287, 144, 288)(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, 297)(4, 299)(5, 289)(6, 302)(7, 290)(8, 292)(9, 307)(10, 309)(11, 310)(12, 311)(13, 293)(14, 315)(15, 317)(16, 295)(17, 296)(18, 298)(19, 325)(20, 327)(21, 328)(22, 329)(23, 331)(24, 300)(25, 333)(26, 301)(27, 338)(28, 340)(29, 341)(30, 303)(31, 343)(32, 304)(33, 347)(34, 305)(35, 306)(36, 308)(37, 354)(38, 356)(39, 357)(40, 358)(41, 355)(42, 361)(43, 353)(44, 312)(45, 352)(46, 313)(47, 350)(48, 314)(49, 316)(50, 326)(51, 368)(52, 369)(53, 367)(54, 318)(55, 364)(56, 319)(57, 336)(58, 320)(59, 372)(60, 321)(61, 346)(62, 322)(63, 377)(64, 323)(65, 324)(66, 380)(67, 339)(68, 381)(69, 382)(70, 360)(71, 385)(72, 330)(73, 386)(74, 387)(75, 388)(76, 332)(77, 334)(78, 335)(79, 337)(80, 394)(81, 395)(82, 397)(83, 398)(84, 342)(85, 344)(86, 345)(87, 348)(88, 349)(89, 404)(90, 351)(91, 362)(92, 407)(93, 408)(94, 384)(95, 411)(96, 359)(97, 412)(98, 413)(99, 406)(100, 391)(101, 363)(102, 416)(103, 365)(104, 366)(105, 370)(106, 420)(107, 379)(108, 422)(109, 415)(110, 401)(111, 371)(112, 423)(113, 373)(114, 374)(115, 418)(116, 375)(117, 376)(118, 378)(119, 428)(120, 410)(121, 396)(122, 383)(123, 429)(124, 399)(125, 393)(126, 430)(127, 389)(128, 419)(129, 390)(130, 427)(131, 392)(132, 409)(133, 414)(134, 431)(135, 425)(136, 400)(137, 402)(138, 403)(139, 405)(140, 421)(141, 426)(142, 432)(143, 417)(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, 48 ), ( 4, 48, 4, 48, 4, 48 ) }
Outer automorphisms :: reflexible
Dual of E10.851
Graph:: simple bipartite
	v = 192 e = 288 f = 78
	degree seq :: [ 2^144, 6^48 ]

E10.853 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 3, 18})
Quotient :: regular
Aut^+ = ((C9 x C3) : C3) : C2 (small group id <162, 14>)
Aut   = (((C9 x C3) : C3) : C2) : C2 (small group id <324, 41>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, (T1 * T2)^3, T1^-2 * T2 * T1 * T2 * T1^-1 * T2 * T1 * T2 * T1^-2 * T2, T2 * T1^6 * T2 * T1^-6, T1^18 ]
Map:: polytopal non-degenerate
	R = (1, 2, 5, 11, 21, 37, 63, 97, 134, 158, 157, 133, 96, 62, 36, 20, 10, 4)(3, 7, 15, 27, 47, 79, 98, 136, 160, 140, 161, 152, 126, 87, 54, 31, 17, 8)(6, 13, 25, 43, 73, 109, 135, 115, 153, 131, 155, 132, 95, 114, 78, 46, 26, 14)(9, 18, 32, 55, 88, 100, 64, 99, 137, 107, 143, 125, 156, 121, 84, 51, 29, 16)(12, 23, 41, 69, 105, 141, 159, 145, 129, 89, 128, 93, 61, 94, 108, 72, 42, 24)(19, 34, 58, 91, 102, 66, 38, 65, 101, 77, 112, 149, 162, 148, 111, 74, 57, 33)(22, 39, 67, 53, 85, 122, 154, 118, 82, 48, 81, 59, 35, 60, 92, 104, 68, 40)(28, 49, 70, 45, 76, 103, 139, 127, 147, 110, 146, 123, 86, 124, 144, 119, 83, 50)(30, 52, 71, 106, 138, 117, 80, 116, 142, 120, 150, 113, 151, 130, 90, 56, 75, 44)
	L = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 13)(10, 19)(11, 22)(14, 23)(15, 28)(17, 30)(18, 33)(20, 35)(21, 38)(24, 39)(25, 44)(26, 45)(27, 48)(29, 49)(31, 53)(32, 56)(34, 59)(36, 61)(37, 64)(40, 65)(41, 70)(42, 71)(43, 74)(46, 77)(47, 80)(50, 81)(51, 69)(52, 67)(54, 86)(55, 89)(57, 75)(58, 83)(60, 93)(62, 95)(63, 98)(66, 99)(68, 103)(72, 107)(73, 110)(76, 101)(78, 113)(79, 115)(82, 116)(84, 120)(85, 123)(87, 125)(88, 127)(90, 128)(91, 131)(92, 130)(94, 132)(96, 126)(97, 135)(100, 136)(102, 138)(104, 140)(105, 142)(106, 137)(108, 144)(109, 145)(111, 146)(112, 150)(114, 152)(117, 153)(118, 141)(119, 155)(121, 149)(122, 148)(124, 143)(129, 147)(133, 156)(134, 159)(139, 160)(151, 161)(154, 158)(157, 162)
	local type(s) :: { ( 3^18 ) }
Outer automorphisms :: reflexible
Dual of E10.854
Transitivity :: ET+ VT+ AT+ REG+
Graph::
	v = 9 e = 81 f = 54
	degree seq :: [ 18^9 ]

E10.854 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 3, 18})
Quotient :: regular
Aut^+ = ((C9 x C3) : C3) : C2 (small group id <162, 14>)
Aut   = (((C9 x C3) : C3) : C2) : C2 (small group id <324, 41>)
|r| :: 2
Presentation :: [ T2^2, F^2, T1^3, (F * T1)^2, (F * T2)^2, (T2 * T1 * T2 * T1^-1)^3, T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 2, 4)(3, 6, 7)(5, 9, 10)(8, 13, 14)(11, 17, 18)(12, 19, 20)(15, 23, 24)(16, 25, 26)(21, 31, 32)(22, 33, 34)(27, 39, 40)(28, 37, 41)(29, 42, 43)(30, 44, 45)(35, 49, 50)(36, 47, 51)(38, 52, 53)(46, 60, 61)(48, 62, 63)(54, 69, 70)(55, 58, 71)(56, 72, 73)(57, 74, 75)(59, 76, 77)(64, 82, 83)(65, 67, 84)(66, 85, 86)(68, 87, 88)(78, 98, 99)(79, 80, 100)(81, 101, 102)(89, 110, 111)(90, 92, 112)(91, 113, 114)(93, 108, 115)(94, 116, 117)(95, 96, 118)(97, 119, 120)(103, 125, 126)(104, 106, 127)(105, 128, 129)(107, 123, 130)(109, 131, 132)(121, 143, 144)(122, 145, 146)(124, 147, 148)(133, 149, 157)(134, 136, 151)(135, 158, 159)(137, 141, 154)(138, 160, 161)(139, 150, 152)(140, 153, 155)(142, 156, 162)
	L = (1, 3)(2, 5)(4, 8)(6, 11)(7, 12)(9, 15)(10, 16)(13, 21)(14, 22)(17, 27)(18, 28)(19, 29)(20, 30)(23, 35)(24, 36)(25, 37)(26, 38)(31, 46)(32, 43)(33, 47)(34, 48)(39, 54)(40, 55)(41, 56)(42, 57)(44, 58)(45, 59)(49, 64)(50, 65)(51, 66)(52, 67)(53, 68)(60, 78)(61, 79)(62, 80)(63, 81)(69, 89)(70, 90)(71, 91)(72, 92)(73, 93)(74, 94)(75, 95)(76, 96)(77, 97)(82, 103)(83, 104)(84, 105)(85, 106)(86, 107)(87, 108)(88, 109)(98, 121)(99, 117)(100, 122)(101, 123)(102, 124)(110, 133)(111, 134)(112, 135)(113, 136)(114, 137)(115, 138)(116, 139)(118, 140)(119, 141)(120, 142)(125, 149)(126, 150)(127, 151)(128, 152)(129, 153)(130, 154)(131, 155)(132, 156)(143, 157)(144, 158)(145, 159)(146, 160)(147, 161)(148, 162)
	local type(s) :: { ( 18^3 ) }
Outer automorphisms :: reflexible
Dual of E10.853
Transitivity :: ET+ VT+ AT+ REG+
Graph:: simple bipartite
	v = 54 e = 81 f = 9
	degree seq :: [ 3^54 ]

E10.855 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 3, 18})
Quotient :: edge
Aut^+ = ((C9 x C3) : C3) : C2 (small group id <162, 14>)
Aut   = (((C9 x C3) : C3) : C2) : C2 (small group id <324, 41>)
|r| :: 2
Presentation :: [ T1^2, F^2, T2^3, (F * T1)^2, (F * T2)^2, (T1 * T2 * T1 * T2^-1)^3, T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2 * T1 * T2 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1, (T2^-1 * T1)^18 ]
Map:: polytopal
	R = (1, 3, 4)(2, 5, 6)(7, 11, 12)(8, 13, 14)(9, 15, 16)(10, 17, 18)(19, 27, 28)(20, 29, 30)(21, 31, 32)(22, 33, 34)(23, 35, 36)(24, 37, 38)(25, 39, 40)(26, 41, 42)(43, 55, 56)(44, 47, 57)(45, 58, 59)(46, 60, 61)(48, 62, 63)(49, 64, 65)(50, 53, 66)(51, 67, 68)(52, 69, 70)(54, 71, 72)(73, 91, 92)(74, 76, 93)(75, 94, 95)(77, 96, 97)(78, 98, 99)(79, 80, 100)(81, 101, 102)(82, 103, 104)(83, 85, 105)(84, 106, 107)(86, 108, 109)(87, 110, 111)(88, 89, 112)(90, 113, 114)(115, 135, 136)(116, 118, 137)(117, 138, 139)(119, 123, 140)(120, 141, 142)(121, 143, 144)(122, 145, 146)(124, 147, 148)(125, 149, 150)(126, 128, 151)(127, 152, 153)(129, 133, 154)(130, 155, 156)(131, 157, 158)(132, 159, 160)(134, 161, 162)(163, 164)(165, 169)(166, 170)(167, 171)(168, 172)(173, 181)(174, 182)(175, 183)(176, 184)(177, 185)(178, 186)(179, 187)(180, 188)(189, 205)(190, 206)(191, 199)(192, 207)(193, 208)(194, 202)(195, 209)(196, 210)(197, 211)(198, 212)(200, 213)(201, 214)(203, 215)(204, 216)(217, 235)(218, 236)(219, 237)(220, 238)(221, 239)(222, 240)(223, 241)(224, 242)(225, 243)(226, 244)(227, 245)(228, 246)(229, 247)(230, 248)(231, 249)(232, 250)(233, 251)(234, 252)(253, 277)(254, 278)(255, 279)(256, 280)(257, 281)(258, 270)(259, 282)(260, 283)(261, 273)(262, 284)(263, 285)(264, 286)(265, 287)(266, 288)(267, 289)(268, 290)(269, 291)(271, 292)(272, 293)(274, 294)(275, 295)(276, 296)(297, 311)(298, 319)(299, 313)(300, 320)(301, 321)(302, 316)(303, 322)(304, 323)(305, 312)(306, 314)(307, 315)(308, 317)(309, 318)(310, 324)
	L = (1, 163)(2, 164)(3, 165)(4, 166)(5, 167)(6, 168)(7, 169)(8, 170)(9, 171)(10, 172)(11, 173)(12, 174)(13, 175)(14, 176)(15, 177)(16, 178)(17, 179)(18, 180)(19, 181)(20, 182)(21, 183)(22, 184)(23, 185)(24, 186)(25, 187)(26, 188)(27, 189)(28, 190)(29, 191)(30, 192)(31, 193)(32, 194)(33, 195)(34, 196)(35, 197)(36, 198)(37, 199)(38, 200)(39, 201)(40, 202)(41, 203)(42, 204)(43, 205)(44, 206)(45, 207)(46, 208)(47, 209)(48, 210)(49, 211)(50, 212)(51, 213)(52, 214)(53, 215)(54, 216)(55, 217)(56, 218)(57, 219)(58, 220)(59, 221)(60, 222)(61, 223)(62, 224)(63, 225)(64, 226)(65, 227)(66, 228)(67, 229)(68, 230)(69, 231)(70, 232)(71, 233)(72, 234)(73, 235)(74, 236)(75, 237)(76, 238)(77, 239)(78, 240)(79, 241)(80, 242)(81, 243)(82, 244)(83, 245)(84, 246)(85, 247)(86, 248)(87, 249)(88, 250)(89, 251)(90, 252)(91, 253)(92, 254)(93, 255)(94, 256)(95, 257)(96, 258)(97, 259)(98, 260)(99, 261)(100, 262)(101, 263)(102, 264)(103, 265)(104, 266)(105, 267)(106, 268)(107, 269)(108, 270)(109, 271)(110, 272)(111, 273)(112, 274)(113, 275)(114, 276)(115, 277)(116, 278)(117, 279)(118, 280)(119, 281)(120, 282)(121, 283)(122, 284)(123, 285)(124, 286)(125, 287)(126, 288)(127, 289)(128, 290)(129, 291)(130, 292)(131, 293)(132, 294)(133, 295)(134, 296)(135, 297)(136, 298)(137, 299)(138, 300)(139, 301)(140, 302)(141, 303)(142, 304)(143, 305)(144, 306)(145, 307)(146, 308)(147, 309)(148, 310)(149, 311)(150, 312)(151, 313)(152, 314)(153, 315)(154, 316)(155, 317)(156, 318)(157, 319)(158, 320)(159, 321)(160, 322)(161, 323)(162, 324)
	local type(s) :: { ( 36, 36 ), ( 36^3 ) }
Outer automorphisms :: reflexible
Dual of E10.859
Transitivity :: ET+
Graph:: simple bipartite
	v = 135 e = 162 f = 9
	degree seq :: [ 2^81, 3^54 ]

E10.856 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 3, 18})
Quotient :: edge
Aut^+ = ((C9 x C3) : C3) : C2 (small group id <162, 14>)
Aut   = (((C9 x C3) : C3) : C2) : C2 (small group id <324, 41>)
|r| :: 2
Presentation :: [ F^2, T1^3, (T2^-1 * T1^-1)^2, (F * T2)^2, (F * T1)^2, (T2^2 * T1^-1)^3, T2 * T1^-1 * T2^3 * T1^-2 * T2^2 * T1^-1 * T2^-2 * T1^-1, T1^-1 * T2^5 * T1^-1 * T2^-7, T2 * T1 * T2^-2 * T1 * T2^7 * T1 * T2^-2 * T1 ]
Map:: polytopal non-degenerate
	R = (1, 3, 9, 19, 37, 64, 98, 141, 162, 157, 158, 128, 115, 77, 48, 26, 13, 5)(2, 6, 14, 27, 50, 80, 119, 99, 143, 137, 161, 134, 129, 88, 57, 32, 16, 7)(4, 11, 22, 41, 69, 105, 142, 120, 155, 150, 151, 114, 135, 92, 60, 34, 17, 8)(10, 21, 40, 67, 101, 144, 147, 106, 148, 108, 113, 76, 112, 136, 94, 61, 35, 18)(12, 23, 43, 71, 107, 140, 97, 65, 100, 93, 127, 87, 126, 149, 109, 72, 44, 24)(15, 29, 53, 82, 122, 154, 118, 81, 121, 102, 133, 91, 132, 156, 123, 83, 54, 30)(20, 39, 31, 55, 84, 124, 153, 117, 79, 51, 75, 47, 74, 111, 138, 95, 62, 36)(25, 45, 73, 110, 139, 96, 63, 38, 66, 59, 90, 131, 160, 145, 103, 68, 42, 46)(28, 52, 33, 58, 89, 130, 159, 146, 104, 70, 86, 56, 85, 125, 152, 116, 78, 49)(163, 164, 166)(165, 170, 172)(167, 174, 168)(169, 177, 173)(171, 180, 182)(175, 187, 185)(176, 186, 190)(178, 193, 191)(179, 195, 183)(181, 198, 200)(184, 192, 204)(188, 209, 207)(189, 211, 213)(194, 218, 217)(196, 221, 220)(197, 215, 201)(199, 225, 227)(202, 214, 206)(203, 230, 232)(205, 208, 216)(210, 238, 236)(212, 241, 243)(219, 249, 247)(222, 253, 252)(223, 255, 244)(224, 251, 228)(226, 259, 261)(229, 234, 264)(231, 266, 268)(233, 245, 270)(235, 237, 240)(239, 276, 274)(242, 280, 282)(246, 248, 265)(250, 290, 288)(254, 296, 294)(256, 287, 289)(257, 299, 292)(258, 284, 262)(260, 281, 304)(263, 283, 279)(267, 309, 303)(269, 310, 308)(271, 293, 295)(272, 278, 312)(273, 275, 285)(277, 291, 297)(286, 307, 319)(298, 313, 314)(300, 318, 323)(301, 317, 316)(302, 321, 305)(306, 315, 324)(311, 320, 322)
	L = (1, 163)(2, 164)(3, 165)(4, 166)(5, 167)(6, 168)(7, 169)(8, 170)(9, 171)(10, 172)(11, 173)(12, 174)(13, 175)(14, 176)(15, 177)(16, 178)(17, 179)(18, 180)(19, 181)(20, 182)(21, 183)(22, 184)(23, 185)(24, 186)(25, 187)(26, 188)(27, 189)(28, 190)(29, 191)(30, 192)(31, 193)(32, 194)(33, 195)(34, 196)(35, 197)(36, 198)(37, 199)(38, 200)(39, 201)(40, 202)(41, 203)(42, 204)(43, 205)(44, 206)(45, 207)(46, 208)(47, 209)(48, 210)(49, 211)(50, 212)(51, 213)(52, 214)(53, 215)(54, 216)(55, 217)(56, 218)(57, 219)(58, 220)(59, 221)(60, 222)(61, 223)(62, 224)(63, 225)(64, 226)(65, 227)(66, 228)(67, 229)(68, 230)(69, 231)(70, 232)(71, 233)(72, 234)(73, 235)(74, 236)(75, 237)(76, 238)(77, 239)(78, 240)(79, 241)(80, 242)(81, 243)(82, 244)(83, 245)(84, 246)(85, 247)(86, 248)(87, 249)(88, 250)(89, 251)(90, 252)(91, 253)(92, 254)(93, 255)(94, 256)(95, 257)(96, 258)(97, 259)(98, 260)(99, 261)(100, 262)(101, 263)(102, 264)(103, 265)(104, 266)(105, 267)(106, 268)(107, 269)(108, 270)(109, 271)(110, 272)(111, 273)(112, 274)(113, 275)(114, 276)(115, 277)(116, 278)(117, 279)(118, 280)(119, 281)(120, 282)(121, 283)(122, 284)(123, 285)(124, 286)(125, 287)(126, 288)(127, 289)(128, 290)(129, 291)(130, 292)(131, 293)(132, 294)(133, 295)(134, 296)(135, 297)(136, 298)(137, 299)(138, 300)(139, 301)(140, 302)(141, 303)(142, 304)(143, 305)(144, 306)(145, 307)(146, 308)(147, 309)(148, 310)(149, 311)(150, 312)(151, 313)(152, 314)(153, 315)(154, 316)(155, 317)(156, 318)(157, 319)(158, 320)(159, 321)(160, 322)(161, 323)(162, 324)
	local type(s) :: { ( 4^3 ), ( 4^18 ) }
Outer automorphisms :: reflexible
Dual of E10.860
Transitivity :: ET+
Graph:: simple bipartite
	v = 63 e = 162 f = 81
	degree seq :: [ 3^54, 18^9 ]

E10.857 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 3, 18})
Quotient :: edge
Aut^+ = ((C9 x C3) : C3) : C2 (small group id <162, 14>)
Aut   = (((C9 x C3) : C3) : C2) : C2 (small group id <324, 41>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, (T1 * T2)^3, T1^-1 * T2 * T1 * T2 * T1^-1 * T2 * T1 * T2 * T1^-2 * T2 * T1^-1, T2 * T1^6 * T2 * T1^-6, T1^18 ]
Map:: polytopal
	R = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 13)(10, 19)(11, 22)(14, 23)(15, 28)(17, 30)(18, 33)(20, 35)(21, 38)(24, 39)(25, 44)(26, 45)(27, 48)(29, 49)(31, 53)(32, 56)(34, 59)(36, 61)(37, 64)(40, 65)(41, 70)(42, 71)(43, 74)(46, 77)(47, 80)(50, 81)(51, 69)(52, 67)(54, 86)(55, 89)(57, 75)(58, 83)(60, 93)(62, 95)(63, 98)(66, 99)(68, 103)(72, 107)(73, 110)(76, 101)(78, 113)(79, 115)(82, 116)(84, 120)(85, 123)(87, 125)(88, 127)(90, 128)(91, 131)(92, 130)(94, 132)(96, 126)(97, 135)(100, 136)(102, 138)(104, 140)(105, 142)(106, 137)(108, 144)(109, 145)(111, 146)(112, 150)(114, 152)(117, 153)(118, 141)(119, 155)(121, 149)(122, 148)(124, 143)(129, 147)(133, 156)(134, 159)(139, 160)(151, 161)(154, 158)(157, 162)(163, 164, 167, 173, 183, 199, 225, 259, 296, 320, 319, 295, 258, 224, 198, 182, 172, 166)(165, 169, 177, 189, 209, 241, 260, 298, 322, 302, 323, 314, 288, 249, 216, 193, 179, 170)(168, 175, 187, 205, 235, 271, 297, 277, 315, 293, 317, 294, 257, 276, 240, 208, 188, 176)(171, 180, 194, 217, 250, 262, 226, 261, 299, 269, 305, 287, 318, 283, 246, 213, 191, 178)(174, 185, 203, 231, 267, 303, 321, 307, 291, 251, 290, 255, 223, 256, 270, 234, 204, 186)(181, 196, 220, 253, 264, 228, 200, 227, 263, 239, 274, 311, 324, 310, 273, 236, 219, 195)(184, 201, 229, 215, 247, 284, 316, 280, 244, 210, 243, 221, 197, 222, 254, 266, 230, 202)(190, 211, 232, 207, 238, 265, 301, 289, 309, 272, 308, 285, 248, 286, 306, 281, 245, 212)(192, 214, 233, 268, 300, 279, 242, 278, 304, 282, 312, 275, 313, 292, 252, 218, 237, 206)
	L = (1, 163)(2, 164)(3, 165)(4, 166)(5, 167)(6, 168)(7, 169)(8, 170)(9, 171)(10, 172)(11, 173)(12, 174)(13, 175)(14, 176)(15, 177)(16, 178)(17, 179)(18, 180)(19, 181)(20, 182)(21, 183)(22, 184)(23, 185)(24, 186)(25, 187)(26, 188)(27, 189)(28, 190)(29, 191)(30, 192)(31, 193)(32, 194)(33, 195)(34, 196)(35, 197)(36, 198)(37, 199)(38, 200)(39, 201)(40, 202)(41, 203)(42, 204)(43, 205)(44, 206)(45, 207)(46, 208)(47, 209)(48, 210)(49, 211)(50, 212)(51, 213)(52, 214)(53, 215)(54, 216)(55, 217)(56, 218)(57, 219)(58, 220)(59, 221)(60, 222)(61, 223)(62, 224)(63, 225)(64, 226)(65, 227)(66, 228)(67, 229)(68, 230)(69, 231)(70, 232)(71, 233)(72, 234)(73, 235)(74, 236)(75, 237)(76, 238)(77, 239)(78, 240)(79, 241)(80, 242)(81, 243)(82, 244)(83, 245)(84, 246)(85, 247)(86, 248)(87, 249)(88, 250)(89, 251)(90, 252)(91, 253)(92, 254)(93, 255)(94, 256)(95, 257)(96, 258)(97, 259)(98, 260)(99, 261)(100, 262)(101, 263)(102, 264)(103, 265)(104, 266)(105, 267)(106, 268)(107, 269)(108, 270)(109, 271)(110, 272)(111, 273)(112, 274)(113, 275)(114, 276)(115, 277)(116, 278)(117, 279)(118, 280)(119, 281)(120, 282)(121, 283)(122, 284)(123, 285)(124, 286)(125, 287)(126, 288)(127, 289)(128, 290)(129, 291)(130, 292)(131, 293)(132, 294)(133, 295)(134, 296)(135, 297)(136, 298)(137, 299)(138, 300)(139, 301)(140, 302)(141, 303)(142, 304)(143, 305)(144, 306)(145, 307)(146, 308)(147, 309)(148, 310)(149, 311)(150, 312)(151, 313)(152, 314)(153, 315)(154, 316)(155, 317)(156, 318)(157, 319)(158, 320)(159, 321)(160, 322)(161, 323)(162, 324)
	local type(s) :: { ( 6, 6 ), ( 6^18 ) }
Outer automorphisms :: reflexible
Dual of E10.858
Transitivity :: ET+
Graph:: simple bipartite
	v = 90 e = 162 f = 54
	degree seq :: [ 2^81, 18^9 ]

E10.858 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 3, 18})
Quotient :: loop
Aut^+ = ((C9 x C3) : C3) : C2 (small group id <162, 14>)
Aut   = (((C9 x C3) : C3) : C2) : C2 (small group id <324, 41>)
|r| :: 2
Presentation :: [ T1^2, F^2, T2^3, (F * T1)^2, (F * T2)^2, (T1 * T2 * T1 * T2^-1)^3, T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2 * T1 * T2 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1, (T2^-1 * T1)^18 ]
Map::
	R = (1, 163, 3, 165, 4, 166)(2, 164, 5, 167, 6, 168)(7, 169, 11, 173, 12, 174)(8, 170, 13, 175, 14, 176)(9, 171, 15, 177, 16, 178)(10, 172, 17, 179, 18, 180)(19, 181, 27, 189, 28, 190)(20, 182, 29, 191, 30, 192)(21, 183, 31, 193, 32, 194)(22, 184, 33, 195, 34, 196)(23, 185, 35, 197, 36, 198)(24, 186, 37, 199, 38, 200)(25, 187, 39, 201, 40, 202)(26, 188, 41, 203, 42, 204)(43, 205, 55, 217, 56, 218)(44, 206, 47, 209, 57, 219)(45, 207, 58, 220, 59, 221)(46, 208, 60, 222, 61, 223)(48, 210, 62, 224, 63, 225)(49, 211, 64, 226, 65, 227)(50, 212, 53, 215, 66, 228)(51, 213, 67, 229, 68, 230)(52, 214, 69, 231, 70, 232)(54, 216, 71, 233, 72, 234)(73, 235, 91, 253, 92, 254)(74, 236, 76, 238, 93, 255)(75, 237, 94, 256, 95, 257)(77, 239, 96, 258, 97, 259)(78, 240, 98, 260, 99, 261)(79, 241, 80, 242, 100, 262)(81, 243, 101, 263, 102, 264)(82, 244, 103, 265, 104, 266)(83, 245, 85, 247, 105, 267)(84, 246, 106, 268, 107, 269)(86, 248, 108, 270, 109, 271)(87, 249, 110, 272, 111, 273)(88, 250, 89, 251, 112, 274)(90, 252, 113, 275, 114, 276)(115, 277, 135, 297, 136, 298)(116, 278, 118, 280, 137, 299)(117, 279, 138, 300, 139, 301)(119, 281, 123, 285, 140, 302)(120, 282, 141, 303, 142, 304)(121, 283, 143, 305, 144, 306)(122, 284, 145, 307, 146, 308)(124, 286, 147, 309, 148, 310)(125, 287, 149, 311, 150, 312)(126, 288, 128, 290, 151, 313)(127, 289, 152, 314, 153, 315)(129, 291, 133, 295, 154, 316)(130, 292, 155, 317, 156, 318)(131, 293, 157, 319, 158, 320)(132, 294, 159, 321, 160, 322)(134, 296, 161, 323, 162, 324)
	L = (1, 164)(2, 163)(3, 169)(4, 170)(5, 171)(6, 172)(7, 165)(8, 166)(9, 167)(10, 168)(11, 181)(12, 182)(13, 183)(14, 184)(15, 185)(16, 186)(17, 187)(18, 188)(19, 173)(20, 174)(21, 175)(22, 176)(23, 177)(24, 178)(25, 179)(26, 180)(27, 205)(28, 206)(29, 199)(30, 207)(31, 208)(32, 202)(33, 209)(34, 210)(35, 211)(36, 212)(37, 191)(38, 213)(39, 214)(40, 194)(41, 215)(42, 216)(43, 189)(44, 190)(45, 192)(46, 193)(47, 195)(48, 196)(49, 197)(50, 198)(51, 200)(52, 201)(53, 203)(54, 204)(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, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 277)(92, 278)(93, 279)(94, 280)(95, 281)(96, 270)(97, 282)(98, 283)(99, 273)(100, 284)(101, 285)(102, 286)(103, 287)(104, 288)(105, 289)(106, 290)(107, 291)(108, 258)(109, 292)(110, 293)(111, 261)(112, 294)(113, 295)(114, 296)(115, 253)(116, 254)(117, 255)(118, 256)(119, 257)(120, 259)(121, 260)(122, 262)(123, 263)(124, 264)(125, 265)(126, 266)(127, 267)(128, 268)(129, 269)(130, 271)(131, 272)(132, 274)(133, 275)(134, 276)(135, 311)(136, 319)(137, 313)(138, 320)(139, 321)(140, 316)(141, 322)(142, 323)(143, 312)(144, 314)(145, 315)(146, 317)(147, 318)(148, 324)(149, 297)(150, 305)(151, 299)(152, 306)(153, 307)(154, 302)(155, 308)(156, 309)(157, 298)(158, 300)(159, 301)(160, 303)(161, 304)(162, 310)
	local type(s) :: { ( 2, 18, 2, 18, 2, 18 ) }
Outer automorphisms :: reflexible
Dual of E10.857
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 54 e = 162 f = 90
	degree seq :: [ 6^54 ]

E10.859 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 3, 18})
Quotient :: loop
Aut^+ = ((C9 x C3) : C3) : C2 (small group id <162, 14>)
Aut   = (((C9 x C3) : C3) : C2) : C2 (small group id <324, 41>)
|r| :: 2
Presentation :: [ F^2, T1^3, (T2^-1 * T1^-1)^2, (F * T2)^2, (F * T1)^2, (T2^2 * T1^-1)^3, T2 * T1^-1 * T2^3 * T1^-2 * T2^2 * T1^-1 * T2^-2 * T1^-1, T1^-1 * T2^5 * T1^-1 * T2^-7, T2 * T1 * T2^-2 * T1 * T2^7 * T1 * T2^-2 * T1 ]
Map::
	R = (1, 163, 3, 165, 9, 171, 19, 181, 37, 199, 64, 226, 98, 260, 141, 303, 162, 324, 157, 319, 158, 320, 128, 290, 115, 277, 77, 239, 48, 210, 26, 188, 13, 175, 5, 167)(2, 164, 6, 168, 14, 176, 27, 189, 50, 212, 80, 242, 119, 281, 99, 261, 143, 305, 137, 299, 161, 323, 134, 296, 129, 291, 88, 250, 57, 219, 32, 194, 16, 178, 7, 169)(4, 166, 11, 173, 22, 184, 41, 203, 69, 231, 105, 267, 142, 304, 120, 282, 155, 317, 150, 312, 151, 313, 114, 276, 135, 297, 92, 254, 60, 222, 34, 196, 17, 179, 8, 170)(10, 172, 21, 183, 40, 202, 67, 229, 101, 263, 144, 306, 147, 309, 106, 268, 148, 310, 108, 270, 113, 275, 76, 238, 112, 274, 136, 298, 94, 256, 61, 223, 35, 197, 18, 180)(12, 174, 23, 185, 43, 205, 71, 233, 107, 269, 140, 302, 97, 259, 65, 227, 100, 262, 93, 255, 127, 289, 87, 249, 126, 288, 149, 311, 109, 271, 72, 234, 44, 206, 24, 186)(15, 177, 29, 191, 53, 215, 82, 244, 122, 284, 154, 316, 118, 280, 81, 243, 121, 283, 102, 264, 133, 295, 91, 253, 132, 294, 156, 318, 123, 285, 83, 245, 54, 216, 30, 192)(20, 182, 39, 201, 31, 193, 55, 217, 84, 246, 124, 286, 153, 315, 117, 279, 79, 241, 51, 213, 75, 237, 47, 209, 74, 236, 111, 273, 138, 300, 95, 257, 62, 224, 36, 198)(25, 187, 45, 207, 73, 235, 110, 272, 139, 301, 96, 258, 63, 225, 38, 200, 66, 228, 59, 221, 90, 252, 131, 293, 160, 322, 145, 307, 103, 265, 68, 230, 42, 204, 46, 208)(28, 190, 52, 214, 33, 195, 58, 220, 89, 251, 130, 292, 159, 321, 146, 308, 104, 266, 70, 232, 86, 248, 56, 218, 85, 247, 125, 287, 152, 314, 116, 278, 78, 240, 49, 211)
	L = (1, 164)(2, 166)(3, 170)(4, 163)(5, 174)(6, 167)(7, 177)(8, 172)(9, 180)(10, 165)(11, 169)(12, 168)(13, 187)(14, 186)(15, 173)(16, 193)(17, 195)(18, 182)(19, 198)(20, 171)(21, 179)(22, 192)(23, 175)(24, 190)(25, 185)(26, 209)(27, 211)(28, 176)(29, 178)(30, 204)(31, 191)(32, 218)(33, 183)(34, 221)(35, 215)(36, 200)(37, 225)(38, 181)(39, 197)(40, 214)(41, 230)(42, 184)(43, 208)(44, 202)(45, 188)(46, 216)(47, 207)(48, 238)(49, 213)(50, 241)(51, 189)(52, 206)(53, 201)(54, 205)(55, 194)(56, 217)(57, 249)(58, 196)(59, 220)(60, 253)(61, 255)(62, 251)(63, 227)(64, 259)(65, 199)(66, 224)(67, 234)(68, 232)(69, 266)(70, 203)(71, 245)(72, 264)(73, 237)(74, 210)(75, 240)(76, 236)(77, 276)(78, 235)(79, 243)(80, 280)(81, 212)(82, 223)(83, 270)(84, 248)(85, 219)(86, 265)(87, 247)(88, 290)(89, 228)(90, 222)(91, 252)(92, 296)(93, 244)(94, 287)(95, 299)(96, 284)(97, 261)(98, 281)(99, 226)(100, 258)(101, 283)(102, 229)(103, 246)(104, 268)(105, 309)(106, 231)(107, 310)(108, 233)(109, 293)(110, 278)(111, 275)(112, 239)(113, 285)(114, 274)(115, 291)(116, 312)(117, 263)(118, 282)(119, 304)(120, 242)(121, 279)(122, 262)(123, 273)(124, 307)(125, 289)(126, 250)(127, 256)(128, 288)(129, 297)(130, 257)(131, 295)(132, 254)(133, 271)(134, 294)(135, 277)(136, 313)(137, 292)(138, 318)(139, 317)(140, 321)(141, 267)(142, 260)(143, 302)(144, 315)(145, 319)(146, 269)(147, 303)(148, 308)(149, 320)(150, 272)(151, 314)(152, 298)(153, 324)(154, 301)(155, 316)(156, 323)(157, 286)(158, 322)(159, 305)(160, 311)(161, 300)(162, 306)
	local type(s) :: { ( 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3 ) }
Outer automorphisms :: reflexible
Dual of E10.855
Transitivity :: ET+ VT+ AT
Graph::
	v = 9 e = 162 f = 135
	degree seq :: [ 36^9 ]

E10.860 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 3, 18})
Quotient :: loop
Aut^+ = ((C9 x C3) : C3) : C2 (small group id <162, 14>)
Aut   = (((C9 x C3) : C3) : C2) : C2 (small group id <324, 41>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, (T1 * T2)^3, T1^-1 * T2 * T1 * T2 * T1^-1 * T2 * T1 * T2 * T1^-2 * T2 * T1^-1, T2 * T1^6 * T2 * T1^-6, T1^18 ]
Map:: polytopal non-degenerate
	R = (1, 163, 3, 165)(2, 164, 6, 168)(4, 166, 9, 171)(5, 167, 12, 174)(7, 169, 16, 178)(8, 170, 13, 175)(10, 172, 19, 181)(11, 173, 22, 184)(14, 176, 23, 185)(15, 177, 28, 190)(17, 179, 30, 192)(18, 180, 33, 195)(20, 182, 35, 197)(21, 183, 38, 200)(24, 186, 39, 201)(25, 187, 44, 206)(26, 188, 45, 207)(27, 189, 48, 210)(29, 191, 49, 211)(31, 193, 53, 215)(32, 194, 56, 218)(34, 196, 59, 221)(36, 198, 61, 223)(37, 199, 64, 226)(40, 202, 65, 227)(41, 203, 70, 232)(42, 204, 71, 233)(43, 205, 74, 236)(46, 208, 77, 239)(47, 209, 80, 242)(50, 212, 81, 243)(51, 213, 69, 231)(52, 214, 67, 229)(54, 216, 86, 248)(55, 217, 89, 251)(57, 219, 75, 237)(58, 220, 83, 245)(60, 222, 93, 255)(62, 224, 95, 257)(63, 225, 98, 260)(66, 228, 99, 261)(68, 230, 103, 265)(72, 234, 107, 269)(73, 235, 110, 272)(76, 238, 101, 263)(78, 240, 113, 275)(79, 241, 115, 277)(82, 244, 116, 278)(84, 246, 120, 282)(85, 247, 123, 285)(87, 249, 125, 287)(88, 250, 127, 289)(90, 252, 128, 290)(91, 253, 131, 293)(92, 254, 130, 292)(94, 256, 132, 294)(96, 258, 126, 288)(97, 259, 135, 297)(100, 262, 136, 298)(102, 264, 138, 300)(104, 266, 140, 302)(105, 267, 142, 304)(106, 268, 137, 299)(108, 270, 144, 306)(109, 271, 145, 307)(111, 273, 146, 308)(112, 274, 150, 312)(114, 276, 152, 314)(117, 279, 153, 315)(118, 280, 141, 303)(119, 281, 155, 317)(121, 283, 149, 311)(122, 284, 148, 310)(124, 286, 143, 305)(129, 291, 147, 309)(133, 295, 156, 318)(134, 296, 159, 321)(139, 301, 160, 322)(151, 313, 161, 323)(154, 316, 158, 320)(157, 319, 162, 324)
	L = (1, 164)(2, 167)(3, 169)(4, 163)(5, 173)(6, 175)(7, 177)(8, 165)(9, 180)(10, 166)(11, 183)(12, 185)(13, 187)(14, 168)(15, 189)(16, 171)(17, 170)(18, 194)(19, 196)(20, 172)(21, 199)(22, 201)(23, 203)(24, 174)(25, 205)(26, 176)(27, 209)(28, 211)(29, 178)(30, 214)(31, 179)(32, 217)(33, 181)(34, 220)(35, 222)(36, 182)(37, 225)(38, 227)(39, 229)(40, 184)(41, 231)(42, 186)(43, 235)(44, 192)(45, 238)(46, 188)(47, 241)(48, 243)(49, 232)(50, 190)(51, 191)(52, 233)(53, 247)(54, 193)(55, 250)(56, 237)(57, 195)(58, 253)(59, 197)(60, 254)(61, 256)(62, 198)(63, 259)(64, 261)(65, 263)(66, 200)(67, 215)(68, 202)(69, 267)(70, 207)(71, 268)(72, 204)(73, 271)(74, 219)(75, 206)(76, 265)(77, 274)(78, 208)(79, 260)(80, 278)(81, 221)(82, 210)(83, 212)(84, 213)(85, 284)(86, 286)(87, 216)(88, 262)(89, 290)(90, 218)(91, 264)(92, 266)(93, 223)(94, 270)(95, 276)(96, 224)(97, 296)(98, 298)(99, 299)(100, 226)(101, 239)(102, 228)(103, 301)(104, 230)(105, 303)(106, 300)(107, 305)(108, 234)(109, 297)(110, 308)(111, 236)(112, 311)(113, 313)(114, 240)(115, 315)(116, 304)(117, 242)(118, 244)(119, 245)(120, 312)(121, 246)(122, 316)(123, 248)(124, 306)(125, 318)(126, 249)(127, 309)(128, 255)(129, 251)(130, 252)(131, 317)(132, 257)(133, 258)(134, 320)(135, 277)(136, 322)(137, 269)(138, 279)(139, 289)(140, 323)(141, 321)(142, 282)(143, 287)(144, 281)(145, 291)(146, 285)(147, 272)(148, 273)(149, 324)(150, 275)(151, 292)(152, 288)(153, 293)(154, 280)(155, 294)(156, 283)(157, 295)(158, 319)(159, 307)(160, 302)(161, 314)(162, 310)
	local type(s) :: { ( 3, 18, 3, 18 ) }
Outer automorphisms :: reflexible
Dual of E10.856
Transitivity :: ET+ VT+ AT
Graph:: simple
	v = 81 e = 162 f = 63
	degree seq :: [ 4^81 ]

E10.861 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 18})
Quotient :: dipole
Aut^+ = ((C9 x C3) : C3) : C2 (small group id <162, 14>)
Aut   = (((C9 x C3) : C3) : C2) : C2 (small group id <324, 41>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, Y2^3, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, (Y1 * Y2 * Y1 * Y2^-1)^3, Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1, (Y3 * Y2^-1)^18 ]
Map::
	R = (1, 163, 2, 164)(3, 165, 7, 169)(4, 166, 8, 170)(5, 167, 9, 171)(6, 168, 10, 172)(11, 173, 19, 181)(12, 174, 20, 182)(13, 175, 21, 183)(14, 176, 22, 184)(15, 177, 23, 185)(16, 178, 24, 186)(17, 179, 25, 187)(18, 180, 26, 188)(27, 189, 43, 205)(28, 190, 44, 206)(29, 191, 37, 199)(30, 192, 45, 207)(31, 193, 46, 208)(32, 194, 40, 202)(33, 195, 47, 209)(34, 196, 48, 210)(35, 197, 49, 211)(36, 198, 50, 212)(38, 200, 51, 213)(39, 201, 52, 214)(41, 203, 53, 215)(42, 204, 54, 216)(55, 217, 73, 235)(56, 218, 74, 236)(57, 219, 75, 237)(58, 220, 76, 238)(59, 221, 77, 239)(60, 222, 78, 240)(61, 223, 79, 241)(62, 224, 80, 242)(63, 225, 81, 243)(64, 226, 82, 244)(65, 227, 83, 245)(66, 228, 84, 246)(67, 229, 85, 247)(68, 230, 86, 248)(69, 231, 87, 249)(70, 232, 88, 250)(71, 233, 89, 251)(72, 234, 90, 252)(91, 253, 115, 277)(92, 254, 116, 278)(93, 255, 117, 279)(94, 256, 118, 280)(95, 257, 119, 281)(96, 258, 108, 270)(97, 259, 120, 282)(98, 260, 121, 283)(99, 261, 111, 273)(100, 262, 122, 284)(101, 263, 123, 285)(102, 264, 124, 286)(103, 265, 125, 287)(104, 266, 126, 288)(105, 267, 127, 289)(106, 268, 128, 290)(107, 269, 129, 291)(109, 271, 130, 292)(110, 272, 131, 293)(112, 274, 132, 294)(113, 275, 133, 295)(114, 276, 134, 296)(135, 297, 149, 311)(136, 298, 157, 319)(137, 299, 151, 313)(138, 300, 158, 320)(139, 301, 159, 321)(140, 302, 154, 316)(141, 303, 160, 322)(142, 304, 161, 323)(143, 305, 150, 312)(144, 306, 152, 314)(145, 307, 153, 315)(146, 308, 155, 317)(147, 309, 156, 318)(148, 310, 162, 324)(325, 487, 327, 489, 328, 490)(326, 488, 329, 491, 330, 492)(331, 493, 335, 497, 336, 498)(332, 494, 337, 499, 338, 500)(333, 495, 339, 501, 340, 502)(334, 496, 341, 503, 342, 504)(343, 505, 351, 513, 352, 514)(344, 506, 353, 515, 354, 516)(345, 507, 355, 517, 356, 518)(346, 508, 357, 519, 358, 520)(347, 509, 359, 521, 360, 522)(348, 510, 361, 523, 362, 524)(349, 511, 363, 525, 364, 526)(350, 512, 365, 527, 366, 528)(367, 529, 379, 541, 380, 542)(368, 530, 371, 533, 381, 543)(369, 531, 382, 544, 383, 545)(370, 532, 384, 546, 385, 547)(372, 534, 386, 548, 387, 549)(373, 535, 388, 550, 389, 551)(374, 536, 377, 539, 390, 552)(375, 537, 391, 553, 392, 554)(376, 538, 393, 555, 394, 556)(378, 540, 395, 557, 396, 558)(397, 559, 415, 577, 416, 578)(398, 560, 400, 562, 417, 579)(399, 561, 418, 580, 419, 581)(401, 563, 420, 582, 421, 583)(402, 564, 422, 584, 423, 585)(403, 565, 404, 566, 424, 586)(405, 567, 425, 587, 426, 588)(406, 568, 427, 589, 428, 590)(407, 569, 409, 571, 429, 591)(408, 570, 430, 592, 431, 593)(410, 572, 432, 594, 433, 595)(411, 573, 434, 596, 435, 597)(412, 574, 413, 575, 436, 598)(414, 576, 437, 599, 438, 600)(439, 601, 459, 621, 460, 622)(440, 602, 442, 604, 461, 623)(441, 603, 462, 624, 463, 625)(443, 605, 447, 609, 464, 626)(444, 606, 465, 627, 466, 628)(445, 607, 467, 629, 468, 630)(446, 608, 469, 631, 470, 632)(448, 610, 471, 633, 472, 634)(449, 611, 473, 635, 474, 636)(450, 612, 452, 614, 475, 637)(451, 613, 476, 638, 477, 639)(453, 615, 457, 619, 478, 640)(454, 616, 479, 641, 480, 642)(455, 617, 481, 643, 482, 644)(456, 618, 483, 645, 484, 646)(458, 620, 485, 647, 486, 648)
	L = (1, 326)(2, 325)(3, 331)(4, 332)(5, 333)(6, 334)(7, 327)(8, 328)(9, 329)(10, 330)(11, 343)(12, 344)(13, 345)(14, 346)(15, 347)(16, 348)(17, 349)(18, 350)(19, 335)(20, 336)(21, 337)(22, 338)(23, 339)(24, 340)(25, 341)(26, 342)(27, 367)(28, 368)(29, 361)(30, 369)(31, 370)(32, 364)(33, 371)(34, 372)(35, 373)(36, 374)(37, 353)(38, 375)(39, 376)(40, 356)(41, 377)(42, 378)(43, 351)(44, 352)(45, 354)(46, 355)(47, 357)(48, 358)(49, 359)(50, 360)(51, 362)(52, 363)(53, 365)(54, 366)(55, 397)(56, 398)(57, 399)(58, 400)(59, 401)(60, 402)(61, 403)(62, 404)(63, 405)(64, 406)(65, 407)(66, 408)(67, 409)(68, 410)(69, 411)(70, 412)(71, 413)(72, 414)(73, 379)(74, 380)(75, 381)(76, 382)(77, 383)(78, 384)(79, 385)(80, 386)(81, 387)(82, 388)(83, 389)(84, 390)(85, 391)(86, 392)(87, 393)(88, 394)(89, 395)(90, 396)(91, 439)(92, 440)(93, 441)(94, 442)(95, 443)(96, 432)(97, 444)(98, 445)(99, 435)(100, 446)(101, 447)(102, 448)(103, 449)(104, 450)(105, 451)(106, 452)(107, 453)(108, 420)(109, 454)(110, 455)(111, 423)(112, 456)(113, 457)(114, 458)(115, 415)(116, 416)(117, 417)(118, 418)(119, 419)(120, 421)(121, 422)(122, 424)(123, 425)(124, 426)(125, 427)(126, 428)(127, 429)(128, 430)(129, 431)(130, 433)(131, 434)(132, 436)(133, 437)(134, 438)(135, 473)(136, 481)(137, 475)(138, 482)(139, 483)(140, 478)(141, 484)(142, 485)(143, 474)(144, 476)(145, 477)(146, 479)(147, 480)(148, 486)(149, 459)(150, 467)(151, 461)(152, 468)(153, 469)(154, 464)(155, 470)(156, 471)(157, 460)(158, 462)(159, 463)(160, 465)(161, 466)(162, 472)(163, 487)(164, 488)(165, 489)(166, 490)(167, 491)(168, 492)(169, 493)(170, 494)(171, 495)(172, 496)(173, 497)(174, 498)(175, 499)(176, 500)(177, 501)(178, 502)(179, 503)(180, 504)(181, 505)(182, 506)(183, 507)(184, 508)(185, 509)(186, 510)(187, 511)(188, 512)(189, 513)(190, 514)(191, 515)(192, 516)(193, 517)(194, 518)(195, 519)(196, 520)(197, 521)(198, 522)(199, 523)(200, 524)(201, 525)(202, 526)(203, 527)(204, 528)(205, 529)(206, 530)(207, 531)(208, 532)(209, 533)(210, 534)(211, 535)(212, 536)(213, 537)(214, 538)(215, 539)(216, 540)(217, 541)(218, 542)(219, 543)(220, 544)(221, 545)(222, 546)(223, 547)(224, 548)(225, 549)(226, 550)(227, 551)(228, 552)(229, 553)(230, 554)(231, 555)(232, 556)(233, 557)(234, 558)(235, 559)(236, 560)(237, 561)(238, 562)(239, 563)(240, 564)(241, 565)(242, 566)(243, 567)(244, 568)(245, 569)(246, 570)(247, 571)(248, 572)(249, 573)(250, 574)(251, 575)(252, 576)(253, 577)(254, 578)(255, 579)(256, 580)(257, 581)(258, 582)(259, 583)(260, 584)(261, 585)(262, 586)(263, 587)(264, 588)(265, 589)(266, 590)(267, 591)(268, 592)(269, 593)(270, 594)(271, 595)(272, 596)(273, 597)(274, 598)(275, 599)(276, 600)(277, 601)(278, 602)(279, 603)(280, 604)(281, 605)(282, 606)(283, 607)(284, 608)(285, 609)(286, 610)(287, 611)(288, 612)(289, 613)(290, 614)(291, 615)(292, 616)(293, 617)(294, 618)(295, 619)(296, 620)(297, 621)(298, 622)(299, 623)(300, 624)(301, 625)(302, 626)(303, 627)(304, 628)(305, 629)(306, 630)(307, 631)(308, 632)(309, 633)(310, 634)(311, 635)(312, 636)(313, 637)(314, 638)(315, 639)(316, 640)(317, 641)(318, 642)(319, 643)(320, 644)(321, 645)(322, 646)(323, 647)(324, 648)
	local type(s) :: { ( 2, 36, 2, 36 ), ( 2, 36, 2, 36, 2, 36 ) }
Outer automorphisms :: reflexible
Dual of E10.864
Graph:: bipartite
	v = 135 e = 324 f = 171
	degree seq :: [ 4^81, 6^54 ]

E10.862 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 18})
Quotient :: dipole
Aut^+ = ((C9 x C3) : C3) : C2 (small group id <162, 14>)
Aut   = (((C9 x C3) : C3) : C2) : C2 (small group id <324, 41>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, Y1^3, (R * Y1)^2, (R * Y3)^2, (Y2 * Y1)^2, (Y3^-1 * Y1^-1)^2, (Y2^2 * Y1^-1)^3, Y2 * Y1^-1 * Y2^3 * Y1^-2 * Y2^2 * Y1^-1 * Y2^-2 * Y1^-1, Y2^5 * Y1^-1 * Y2^-7 * Y1^-1, Y2 * Y1 * Y2^-2 * Y1 * Y2^7 * Y1 * Y2^-2 * Y1 ]
Map::
	R = (1, 163, 2, 164, 4, 166)(3, 165, 8, 170, 10, 172)(5, 167, 12, 174, 6, 168)(7, 169, 15, 177, 11, 173)(9, 171, 18, 180, 20, 182)(13, 175, 25, 187, 23, 185)(14, 176, 24, 186, 28, 190)(16, 178, 31, 193, 29, 191)(17, 179, 33, 195, 21, 183)(19, 181, 36, 198, 38, 200)(22, 184, 30, 192, 42, 204)(26, 188, 47, 209, 45, 207)(27, 189, 49, 211, 51, 213)(32, 194, 56, 218, 55, 217)(34, 196, 59, 221, 58, 220)(35, 197, 53, 215, 39, 201)(37, 199, 63, 225, 65, 227)(40, 202, 52, 214, 44, 206)(41, 203, 68, 230, 70, 232)(43, 205, 46, 208, 54, 216)(48, 210, 76, 238, 74, 236)(50, 212, 79, 241, 81, 243)(57, 219, 87, 249, 85, 247)(60, 222, 91, 253, 90, 252)(61, 223, 93, 255, 82, 244)(62, 224, 89, 251, 66, 228)(64, 226, 97, 259, 99, 261)(67, 229, 72, 234, 102, 264)(69, 231, 104, 266, 106, 268)(71, 233, 83, 245, 108, 270)(73, 235, 75, 237, 78, 240)(77, 239, 114, 276, 112, 274)(80, 242, 118, 280, 120, 282)(84, 246, 86, 248, 103, 265)(88, 250, 128, 290, 126, 288)(92, 254, 134, 296, 132, 294)(94, 256, 125, 287, 127, 289)(95, 257, 137, 299, 130, 292)(96, 258, 122, 284, 100, 262)(98, 260, 119, 281, 142, 304)(101, 263, 121, 283, 117, 279)(105, 267, 147, 309, 141, 303)(107, 269, 148, 310, 146, 308)(109, 271, 131, 293, 133, 295)(110, 272, 116, 278, 150, 312)(111, 273, 113, 275, 123, 285)(115, 277, 129, 291, 135, 297)(124, 286, 145, 307, 157, 319)(136, 298, 151, 313, 152, 314)(138, 300, 156, 318, 161, 323)(139, 301, 155, 317, 154, 316)(140, 302, 159, 321, 143, 305)(144, 306, 153, 315, 162, 324)(149, 311, 158, 320, 160, 322)(325, 487, 327, 489, 333, 495, 343, 505, 361, 523, 388, 550, 422, 584, 465, 627, 486, 648, 481, 643, 482, 644, 452, 614, 439, 601, 401, 563, 372, 534, 350, 512, 337, 499, 329, 491)(326, 488, 330, 492, 338, 500, 351, 513, 374, 536, 404, 566, 443, 605, 423, 585, 467, 629, 461, 623, 485, 647, 458, 620, 453, 615, 412, 574, 381, 543, 356, 518, 340, 502, 331, 493)(328, 490, 335, 497, 346, 508, 365, 527, 393, 555, 429, 591, 466, 628, 444, 606, 479, 641, 474, 636, 475, 637, 438, 600, 459, 621, 416, 578, 384, 546, 358, 520, 341, 503, 332, 494)(334, 496, 345, 507, 364, 526, 391, 553, 425, 587, 468, 630, 471, 633, 430, 592, 472, 634, 432, 594, 437, 599, 400, 562, 436, 598, 460, 622, 418, 580, 385, 547, 359, 521, 342, 504)(336, 498, 347, 509, 367, 529, 395, 557, 431, 593, 464, 626, 421, 583, 389, 551, 424, 586, 417, 579, 451, 613, 411, 573, 450, 612, 473, 635, 433, 595, 396, 558, 368, 530, 348, 510)(339, 501, 353, 515, 377, 539, 406, 568, 446, 608, 478, 640, 442, 604, 405, 567, 445, 607, 426, 588, 457, 619, 415, 577, 456, 618, 480, 642, 447, 609, 407, 569, 378, 540, 354, 516)(344, 506, 363, 525, 355, 517, 379, 541, 408, 570, 448, 610, 477, 639, 441, 603, 403, 565, 375, 537, 399, 561, 371, 533, 398, 560, 435, 597, 462, 624, 419, 581, 386, 548, 360, 522)(349, 511, 369, 531, 397, 559, 434, 596, 463, 625, 420, 582, 387, 549, 362, 524, 390, 552, 383, 545, 414, 576, 455, 617, 484, 646, 469, 631, 427, 589, 392, 554, 366, 528, 370, 532)(352, 514, 376, 538, 357, 519, 382, 544, 413, 575, 454, 616, 483, 645, 470, 632, 428, 590, 394, 556, 410, 572, 380, 542, 409, 571, 449, 611, 476, 638, 440, 602, 402, 564, 373, 535)
	L = (1, 327)(2, 330)(3, 333)(4, 335)(5, 325)(6, 338)(7, 326)(8, 328)(9, 343)(10, 345)(11, 346)(12, 347)(13, 329)(14, 351)(15, 353)(16, 331)(17, 332)(18, 334)(19, 361)(20, 363)(21, 364)(22, 365)(23, 367)(24, 336)(25, 369)(26, 337)(27, 374)(28, 376)(29, 377)(30, 339)(31, 379)(32, 340)(33, 382)(34, 341)(35, 342)(36, 344)(37, 388)(38, 390)(39, 355)(40, 391)(41, 393)(42, 370)(43, 395)(44, 348)(45, 397)(46, 349)(47, 398)(48, 350)(49, 352)(50, 404)(51, 399)(52, 357)(53, 406)(54, 354)(55, 408)(56, 409)(57, 356)(58, 413)(59, 414)(60, 358)(61, 359)(62, 360)(63, 362)(64, 422)(65, 424)(66, 383)(67, 425)(68, 366)(69, 429)(70, 410)(71, 431)(72, 368)(73, 434)(74, 435)(75, 371)(76, 436)(77, 372)(78, 373)(79, 375)(80, 443)(81, 445)(82, 446)(83, 378)(84, 448)(85, 449)(86, 380)(87, 450)(88, 381)(89, 454)(90, 455)(91, 456)(92, 384)(93, 451)(94, 385)(95, 386)(96, 387)(97, 389)(98, 465)(99, 467)(100, 417)(101, 468)(102, 457)(103, 392)(104, 394)(105, 466)(106, 472)(107, 464)(108, 437)(109, 396)(110, 463)(111, 462)(112, 460)(113, 400)(114, 459)(115, 401)(116, 402)(117, 403)(118, 405)(119, 423)(120, 479)(121, 426)(122, 478)(123, 407)(124, 477)(125, 476)(126, 473)(127, 411)(128, 439)(129, 412)(130, 483)(131, 484)(132, 480)(133, 415)(134, 453)(135, 416)(136, 418)(137, 485)(138, 419)(139, 420)(140, 421)(141, 486)(142, 444)(143, 461)(144, 471)(145, 427)(146, 428)(147, 430)(148, 432)(149, 433)(150, 475)(151, 438)(152, 440)(153, 441)(154, 442)(155, 474)(156, 447)(157, 482)(158, 452)(159, 470)(160, 469)(161, 458)(162, 481)(163, 487)(164, 488)(165, 489)(166, 490)(167, 491)(168, 492)(169, 493)(170, 494)(171, 495)(172, 496)(173, 497)(174, 498)(175, 499)(176, 500)(177, 501)(178, 502)(179, 503)(180, 504)(181, 505)(182, 506)(183, 507)(184, 508)(185, 509)(186, 510)(187, 511)(188, 512)(189, 513)(190, 514)(191, 515)(192, 516)(193, 517)(194, 518)(195, 519)(196, 520)(197, 521)(198, 522)(199, 523)(200, 524)(201, 525)(202, 526)(203, 527)(204, 528)(205, 529)(206, 530)(207, 531)(208, 532)(209, 533)(210, 534)(211, 535)(212, 536)(213, 537)(214, 538)(215, 539)(216, 540)(217, 541)(218, 542)(219, 543)(220, 544)(221, 545)(222, 546)(223, 547)(224, 548)(225, 549)(226, 550)(227, 551)(228, 552)(229, 553)(230, 554)(231, 555)(232, 556)(233, 557)(234, 558)(235, 559)(236, 560)(237, 561)(238, 562)(239, 563)(240, 564)(241, 565)(242, 566)(243, 567)(244, 568)(245, 569)(246, 570)(247, 571)(248, 572)(249, 573)(250, 574)(251, 575)(252, 576)(253, 577)(254, 578)(255, 579)(256, 580)(257, 581)(258, 582)(259, 583)(260, 584)(261, 585)(262, 586)(263, 587)(264, 588)(265, 589)(266, 590)(267, 591)(268, 592)(269, 593)(270, 594)(271, 595)(272, 596)(273, 597)(274, 598)(275, 599)(276, 600)(277, 601)(278, 602)(279, 603)(280, 604)(281, 605)(282, 606)(283, 607)(284, 608)(285, 609)(286, 610)(287, 611)(288, 612)(289, 613)(290, 614)(291, 615)(292, 616)(293, 617)(294, 618)(295, 619)(296, 620)(297, 621)(298, 622)(299, 623)(300, 624)(301, 625)(302, 626)(303, 627)(304, 628)(305, 629)(306, 630)(307, 631)(308, 632)(309, 633)(310, 634)(311, 635)(312, 636)(313, 637)(314, 638)(315, 639)(316, 640)(317, 641)(318, 642)(319, 643)(320, 644)(321, 645)(322, 646)(323, 647)(324, 648)
	local type(s) :: { ( 2, 4, 2, 4, 2, 4 ), ( 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4 ) }
Outer automorphisms :: reflexible
Dual of E10.863
Graph:: bipartite
	v = 63 e = 324 f = 243
	degree seq :: [ 6^54, 36^9 ]

E10.863 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 18})
Quotient :: dipole
Aut^+ = ((C9 x C3) : C3) : C2 (small group id <162, 14>)
Aut   = (((C9 x C3) : C3) : C2) : C2 (small group id <324, 41>)
|r| :: 2
Presentation :: [ Y1, Y2^2, R^2, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, (Y3 * Y2)^3, (Y3^-3 * Y2)^3, Y3^-1 * Y2 * Y3^6 * Y2 * Y3^-5, (Y3^-1 * Y1^-1)^18 ]
Map:: polytopal
	R = (1, 163)(2, 164)(3, 165)(4, 166)(5, 167)(6, 168)(7, 169)(8, 170)(9, 171)(10, 172)(11, 173)(12, 174)(13, 175)(14, 176)(15, 177)(16, 178)(17, 179)(18, 180)(19, 181)(20, 182)(21, 183)(22, 184)(23, 185)(24, 186)(25, 187)(26, 188)(27, 189)(28, 190)(29, 191)(30, 192)(31, 193)(32, 194)(33, 195)(34, 196)(35, 197)(36, 198)(37, 199)(38, 200)(39, 201)(40, 202)(41, 203)(42, 204)(43, 205)(44, 206)(45, 207)(46, 208)(47, 209)(48, 210)(49, 211)(50, 212)(51, 213)(52, 214)(53, 215)(54, 216)(55, 217)(56, 218)(57, 219)(58, 220)(59, 221)(60, 222)(61, 223)(62, 224)(63, 225)(64, 226)(65, 227)(66, 228)(67, 229)(68, 230)(69, 231)(70, 232)(71, 233)(72, 234)(73, 235)(74, 236)(75, 237)(76, 238)(77, 239)(78, 240)(79, 241)(80, 242)(81, 243)(82, 244)(83, 245)(84, 246)(85, 247)(86, 248)(87, 249)(88, 250)(89, 251)(90, 252)(91, 253)(92, 254)(93, 255)(94, 256)(95, 257)(96, 258)(97, 259)(98, 260)(99, 261)(100, 262)(101, 263)(102, 264)(103, 265)(104, 266)(105, 267)(106, 268)(107, 269)(108, 270)(109, 271)(110, 272)(111, 273)(112, 274)(113, 275)(114, 276)(115, 277)(116, 278)(117, 279)(118, 280)(119, 281)(120, 282)(121, 283)(122, 284)(123, 285)(124, 286)(125, 287)(126, 288)(127, 289)(128, 290)(129, 291)(130, 292)(131, 293)(132, 294)(133, 295)(134, 296)(135, 297)(136, 298)(137, 299)(138, 300)(139, 301)(140, 302)(141, 303)(142, 304)(143, 305)(144, 306)(145, 307)(146, 308)(147, 309)(148, 310)(149, 311)(150, 312)(151, 313)(152, 314)(153, 315)(154, 316)(155, 317)(156, 318)(157, 319)(158, 320)(159, 321)(160, 322)(161, 323)(162, 324)(325, 487, 326, 488)(327, 489, 331, 493)(328, 490, 333, 495)(329, 491, 335, 497)(330, 492, 337, 499)(332, 494, 340, 502)(334, 496, 343, 505)(336, 498, 346, 508)(338, 500, 349, 511)(339, 501, 351, 513)(341, 503, 354, 516)(342, 504, 356, 518)(344, 506, 359, 521)(345, 507, 361, 523)(347, 509, 364, 526)(348, 510, 366, 528)(350, 512, 369, 531)(352, 514, 372, 534)(353, 515, 374, 536)(355, 517, 377, 539)(357, 519, 380, 542)(358, 520, 382, 544)(360, 522, 385, 547)(362, 524, 388, 550)(363, 525, 390, 552)(365, 527, 393, 555)(367, 529, 396, 558)(368, 530, 398, 560)(370, 532, 401, 563)(371, 533, 387, 549)(373, 535, 404, 566)(375, 537, 399, 561)(376, 538, 407, 569)(378, 540, 410, 572)(379, 541, 395, 557)(381, 543, 413, 575)(383, 545, 391, 553)(384, 546, 416, 578)(386, 548, 419, 581)(389, 551, 422, 584)(392, 554, 425, 587)(394, 556, 428, 590)(397, 559, 431, 593)(400, 562, 434, 596)(402, 564, 437, 599)(403, 565, 439, 601)(405, 567, 442, 604)(406, 568, 444, 606)(408, 570, 440, 602)(409, 571, 447, 609)(411, 573, 429, 591)(412, 574, 451, 613)(414, 576, 454, 616)(415, 577, 455, 617)(417, 579, 452, 614)(418, 580, 456, 618)(420, 582, 438, 600)(421, 583, 458, 620)(423, 585, 461, 623)(424, 586, 463, 625)(426, 588, 459, 621)(427, 589, 466, 628)(430, 592, 470, 632)(432, 594, 473, 635)(433, 595, 474, 636)(435, 597, 471, 633)(436, 598, 475, 637)(441, 603, 460, 622)(443, 605, 476, 638)(445, 607, 464, 626)(446, 608, 479, 641)(448, 610, 467, 629)(449, 611, 469, 631)(450, 612, 468, 630)(453, 615, 472, 634)(457, 619, 462, 624)(465, 627, 484, 646)(477, 639, 485, 647)(478, 640, 486, 648)(480, 642, 482, 644)(481, 643, 483, 645)
	L = (1, 327)(2, 329)(3, 332)(4, 325)(5, 336)(6, 326)(7, 337)(8, 341)(9, 342)(10, 328)(11, 333)(12, 347)(13, 348)(14, 330)(15, 331)(16, 351)(17, 355)(18, 357)(19, 358)(20, 334)(21, 335)(22, 361)(23, 365)(24, 367)(25, 368)(26, 338)(27, 371)(28, 339)(29, 340)(30, 374)(31, 378)(32, 343)(33, 381)(34, 383)(35, 384)(36, 344)(37, 387)(38, 345)(39, 346)(40, 390)(41, 394)(42, 349)(43, 397)(44, 399)(45, 400)(46, 350)(47, 388)(48, 403)(49, 352)(50, 398)(51, 353)(52, 354)(53, 407)(54, 411)(55, 356)(56, 395)(57, 414)(58, 359)(59, 415)(60, 417)(61, 418)(62, 360)(63, 372)(64, 421)(65, 362)(66, 382)(67, 363)(68, 364)(69, 425)(70, 429)(71, 366)(72, 379)(73, 432)(74, 369)(75, 433)(76, 435)(77, 436)(78, 370)(79, 440)(80, 441)(81, 373)(82, 375)(83, 439)(84, 376)(85, 377)(86, 447)(87, 450)(88, 380)(89, 451)(90, 449)(91, 448)(92, 385)(93, 446)(94, 445)(95, 443)(96, 386)(97, 459)(98, 460)(99, 389)(100, 391)(101, 458)(102, 392)(103, 393)(104, 466)(105, 469)(106, 396)(107, 470)(108, 468)(109, 467)(110, 401)(111, 465)(112, 464)(113, 462)(114, 402)(115, 404)(116, 477)(117, 461)(118, 478)(119, 405)(120, 475)(121, 406)(122, 408)(123, 474)(124, 409)(125, 410)(126, 480)(127, 416)(128, 412)(129, 413)(130, 472)(131, 463)(132, 419)(133, 420)(134, 422)(135, 482)(136, 442)(137, 483)(138, 423)(139, 456)(140, 424)(141, 426)(142, 455)(143, 427)(144, 428)(145, 485)(146, 434)(147, 430)(148, 431)(149, 453)(150, 444)(151, 437)(152, 438)(153, 454)(154, 452)(155, 486)(156, 484)(157, 457)(158, 473)(159, 471)(160, 481)(161, 479)(162, 476)(163, 487)(164, 488)(165, 489)(166, 490)(167, 491)(168, 492)(169, 493)(170, 494)(171, 495)(172, 496)(173, 497)(174, 498)(175, 499)(176, 500)(177, 501)(178, 502)(179, 503)(180, 504)(181, 505)(182, 506)(183, 507)(184, 508)(185, 509)(186, 510)(187, 511)(188, 512)(189, 513)(190, 514)(191, 515)(192, 516)(193, 517)(194, 518)(195, 519)(196, 520)(197, 521)(198, 522)(199, 523)(200, 524)(201, 525)(202, 526)(203, 527)(204, 528)(205, 529)(206, 530)(207, 531)(208, 532)(209, 533)(210, 534)(211, 535)(212, 536)(213, 537)(214, 538)(215, 539)(216, 540)(217, 541)(218, 542)(219, 543)(220, 544)(221, 545)(222, 546)(223, 547)(224, 548)(225, 549)(226, 550)(227, 551)(228, 552)(229, 553)(230, 554)(231, 555)(232, 556)(233, 557)(234, 558)(235, 559)(236, 560)(237, 561)(238, 562)(239, 563)(240, 564)(241, 565)(242, 566)(243, 567)(244, 568)(245, 569)(246, 570)(247, 571)(248, 572)(249, 573)(250, 574)(251, 575)(252, 576)(253, 577)(254, 578)(255, 579)(256, 580)(257, 581)(258, 582)(259, 583)(260, 584)(261, 585)(262, 586)(263, 587)(264, 588)(265, 589)(266, 590)(267, 591)(268, 592)(269, 593)(270, 594)(271, 595)(272, 596)(273, 597)(274, 598)(275, 599)(276, 600)(277, 601)(278, 602)(279, 603)(280, 604)(281, 605)(282, 606)(283, 607)(284, 608)(285, 609)(286, 610)(287, 611)(288, 612)(289, 613)(290, 614)(291, 615)(292, 616)(293, 617)(294, 618)(295, 619)(296, 620)(297, 621)(298, 622)(299, 623)(300, 624)(301, 625)(302, 626)(303, 627)(304, 628)(305, 629)(306, 630)(307, 631)(308, 632)(309, 633)(310, 634)(311, 635)(312, 636)(313, 637)(314, 638)(315, 639)(316, 640)(317, 641)(318, 642)(319, 643)(320, 644)(321, 645)(322, 646)(323, 647)(324, 648)
	local type(s) :: { ( 6, 36 ), ( 6, 36, 6, 36 ) }
Outer automorphisms :: reflexible
Dual of E10.862
Graph:: simple bipartite
	v = 243 e = 324 f = 63
	degree seq :: [ 2^162, 4^81 ]

E10.864 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 18})
Quotient :: dipole
Aut^+ = ((C9 x C3) : C3) : C2 (small group id <162, 14>)
Aut   = (((C9 x C3) : C3) : C2) : C2 (small group id <324, 41>)
|r| :: 2
Presentation :: [ Y2, R^2, Y3^4, (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 * Y1^-1 * Y3^-1 * Y1^-1, Y3 * Y1^-2 * Y3 * Y1 * Y3^-1 * Y1^-1 * Y3 * Y1 * Y3^-1 * Y1^-2, Y3^-1 * Y1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^2 * Y3^3 * Y1^2 * Y3^-1 * Y1^-1, Y3 * Y1^6 * Y3^-1 * Y1^-6, Y1^18 ]
Map:: polytopal
	R = (1, 163, 2, 164, 5, 167, 11, 173, 21, 183, 37, 199, 63, 225, 97, 259, 134, 296, 158, 320, 157, 319, 133, 295, 96, 258, 62, 224, 36, 198, 20, 182, 10, 172, 4, 166)(3, 165, 7, 169, 15, 177, 27, 189, 47, 209, 79, 241, 98, 260, 136, 298, 160, 322, 140, 302, 161, 323, 152, 314, 126, 288, 87, 249, 54, 216, 31, 193, 17, 179, 8, 170)(6, 168, 13, 175, 25, 187, 43, 205, 73, 235, 109, 271, 135, 297, 115, 277, 153, 315, 131, 293, 155, 317, 132, 294, 95, 257, 114, 276, 78, 240, 46, 208, 26, 188, 14, 176)(9, 171, 18, 180, 32, 194, 55, 217, 88, 250, 100, 262, 64, 226, 99, 261, 137, 299, 107, 269, 143, 305, 125, 287, 156, 318, 121, 283, 84, 246, 51, 213, 29, 191, 16, 178)(12, 174, 23, 185, 41, 203, 69, 231, 105, 267, 141, 303, 159, 321, 145, 307, 129, 291, 89, 251, 128, 290, 93, 255, 61, 223, 94, 256, 108, 270, 72, 234, 42, 204, 24, 186)(19, 181, 34, 196, 58, 220, 91, 253, 102, 264, 66, 228, 38, 200, 65, 227, 101, 263, 77, 239, 112, 274, 149, 311, 162, 324, 148, 310, 111, 273, 74, 236, 57, 219, 33, 195)(22, 184, 39, 201, 67, 229, 53, 215, 85, 247, 122, 284, 154, 316, 118, 280, 82, 244, 48, 210, 81, 243, 59, 221, 35, 197, 60, 222, 92, 254, 104, 266, 68, 230, 40, 202)(28, 190, 49, 211, 70, 232, 45, 207, 76, 238, 103, 265, 139, 301, 127, 289, 147, 309, 110, 272, 146, 308, 123, 285, 86, 248, 124, 286, 144, 306, 119, 281, 83, 245, 50, 212)(30, 192, 52, 214, 71, 233, 106, 268, 138, 300, 117, 279, 80, 242, 116, 278, 142, 304, 120, 282, 150, 312, 113, 275, 151, 313, 130, 292, 90, 252, 56, 218, 75, 237, 44, 206)(325, 487)(326, 488)(327, 489)(328, 490)(329, 491)(330, 492)(331, 493)(332, 494)(333, 495)(334, 496)(335, 497)(336, 498)(337, 499)(338, 500)(339, 501)(340, 502)(341, 503)(342, 504)(343, 505)(344, 506)(345, 507)(346, 508)(347, 509)(348, 510)(349, 511)(350, 512)(351, 513)(352, 514)(353, 515)(354, 516)(355, 517)(356, 518)(357, 519)(358, 520)(359, 521)(360, 522)(361, 523)(362, 524)(363, 525)(364, 526)(365, 527)(366, 528)(367, 529)(368, 530)(369, 531)(370, 532)(371, 533)(372, 534)(373, 535)(374, 536)(375, 537)(376, 538)(377, 539)(378, 540)(379, 541)(380, 542)(381, 543)(382, 544)(383, 545)(384, 546)(385, 547)(386, 548)(387, 549)(388, 550)(389, 551)(390, 552)(391, 553)(392, 554)(393, 555)(394, 556)(395, 557)(396, 558)(397, 559)(398, 560)(399, 561)(400, 562)(401, 563)(402, 564)(403, 565)(404, 566)(405, 567)(406, 568)(407, 569)(408, 570)(409, 571)(410, 572)(411, 573)(412, 574)(413, 575)(414, 576)(415, 577)(416, 578)(417, 579)(418, 580)(419, 581)(420, 582)(421, 583)(422, 584)(423, 585)(424, 586)(425, 587)(426, 588)(427, 589)(428, 590)(429, 591)(430, 592)(431, 593)(432, 594)(433, 595)(434, 596)(435, 597)(436, 598)(437, 599)(438, 600)(439, 601)(440, 602)(441, 603)(442, 604)(443, 605)(444, 606)(445, 607)(446, 608)(447, 609)(448, 610)(449, 611)(450, 612)(451, 613)(452, 614)(453, 615)(454, 616)(455, 617)(456, 618)(457, 619)(458, 620)(459, 621)(460, 622)(461, 623)(462, 624)(463, 625)(464, 626)(465, 627)(466, 628)(467, 629)(468, 630)(469, 631)(470, 632)(471, 633)(472, 634)(473, 635)(474, 636)(475, 637)(476, 638)(477, 639)(478, 640)(479, 641)(480, 642)(481, 643)(482, 644)(483, 645)(484, 646)(485, 647)(486, 648)
	L = (1, 327)(2, 330)(3, 325)(4, 333)(5, 336)(6, 326)(7, 340)(8, 337)(9, 328)(10, 343)(11, 346)(12, 329)(13, 332)(14, 347)(15, 352)(16, 331)(17, 354)(18, 357)(19, 334)(20, 359)(21, 362)(22, 335)(23, 338)(24, 363)(25, 368)(26, 369)(27, 372)(28, 339)(29, 373)(30, 341)(31, 377)(32, 380)(33, 342)(34, 383)(35, 344)(36, 385)(37, 388)(38, 345)(39, 348)(40, 389)(41, 394)(42, 395)(43, 398)(44, 349)(45, 350)(46, 401)(47, 404)(48, 351)(49, 353)(50, 405)(51, 393)(52, 391)(53, 355)(54, 410)(55, 413)(56, 356)(57, 399)(58, 407)(59, 358)(60, 417)(61, 360)(62, 419)(63, 422)(64, 361)(65, 364)(66, 423)(67, 376)(68, 427)(69, 375)(70, 365)(71, 366)(72, 431)(73, 434)(74, 367)(75, 381)(76, 425)(77, 370)(78, 437)(79, 439)(80, 371)(81, 374)(82, 440)(83, 382)(84, 444)(85, 447)(86, 378)(87, 449)(88, 451)(89, 379)(90, 452)(91, 455)(92, 454)(93, 384)(94, 456)(95, 386)(96, 450)(97, 459)(98, 387)(99, 390)(100, 460)(101, 400)(102, 462)(103, 392)(104, 464)(105, 466)(106, 461)(107, 396)(108, 468)(109, 469)(110, 397)(111, 470)(112, 474)(113, 402)(114, 476)(115, 403)(116, 406)(117, 477)(118, 465)(119, 479)(120, 408)(121, 473)(122, 472)(123, 409)(124, 467)(125, 411)(126, 420)(127, 412)(128, 414)(129, 471)(130, 416)(131, 415)(132, 418)(133, 480)(134, 483)(135, 421)(136, 424)(137, 430)(138, 426)(139, 484)(140, 428)(141, 442)(142, 429)(143, 448)(144, 432)(145, 433)(146, 435)(147, 453)(148, 446)(149, 445)(150, 436)(151, 485)(152, 438)(153, 441)(154, 482)(155, 443)(156, 457)(157, 486)(158, 478)(159, 458)(160, 463)(161, 475)(162, 481)(163, 487)(164, 488)(165, 489)(166, 490)(167, 491)(168, 492)(169, 493)(170, 494)(171, 495)(172, 496)(173, 497)(174, 498)(175, 499)(176, 500)(177, 501)(178, 502)(179, 503)(180, 504)(181, 505)(182, 506)(183, 507)(184, 508)(185, 509)(186, 510)(187, 511)(188, 512)(189, 513)(190, 514)(191, 515)(192, 516)(193, 517)(194, 518)(195, 519)(196, 520)(197, 521)(198, 522)(199, 523)(200, 524)(201, 525)(202, 526)(203, 527)(204, 528)(205, 529)(206, 530)(207, 531)(208, 532)(209, 533)(210, 534)(211, 535)(212, 536)(213, 537)(214, 538)(215, 539)(216, 540)(217, 541)(218, 542)(219, 543)(220, 544)(221, 545)(222, 546)(223, 547)(224, 548)(225, 549)(226, 550)(227, 551)(228, 552)(229, 553)(230, 554)(231, 555)(232, 556)(233, 557)(234, 558)(235, 559)(236, 560)(237, 561)(238, 562)(239, 563)(240, 564)(241, 565)(242, 566)(243, 567)(244, 568)(245, 569)(246, 570)(247, 571)(248, 572)(249, 573)(250, 574)(251, 575)(252, 576)(253, 577)(254, 578)(255, 579)(256, 580)(257, 581)(258, 582)(259, 583)(260, 584)(261, 585)(262, 586)(263, 587)(264, 588)(265, 589)(266, 590)(267, 591)(268, 592)(269, 593)(270, 594)(271, 595)(272, 596)(273, 597)(274, 598)(275, 599)(276, 600)(277, 601)(278, 602)(279, 603)(280, 604)(281, 605)(282, 606)(283, 607)(284, 608)(285, 609)(286, 610)(287, 611)(288, 612)(289, 613)(290, 614)(291, 615)(292, 616)(293, 617)(294, 618)(295, 619)(296, 620)(297, 621)(298, 622)(299, 623)(300, 624)(301, 625)(302, 626)(303, 627)(304, 628)(305, 629)(306, 630)(307, 631)(308, 632)(309, 633)(310, 634)(311, 635)(312, 636)(313, 637)(314, 638)(315, 639)(316, 640)(317, 641)(318, 642)(319, 643)(320, 644)(321, 645)(322, 646)(323, 647)(324, 648)
	local type(s) :: { ( 4, 6 ), ( 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 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 E10.861
Graph:: simple bipartite
	v = 171 e = 324 f = 135
	degree seq :: [ 2^162, 36^9 ]

E10.865 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 18})
Quotient :: dipole
Aut^+ = ((C9 x C3) : C3) : C2 (small group id <162, 14>)
Aut   = (((C9 x C3) : C3) : C2) : C2 (small group id <324, 41>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, (Y1 * Y2^-1)^3, (Y3 * Y2^-1)^3, (Y2^3 * Y1)^3, (Y2^-2 * R * Y2^-4)^2, Y2^-2 * Y1 * Y2^6 * Y1 * Y2^-4, Y2^18 ]
Map::
	R = (1, 163, 2, 164)(3, 165, 7, 169)(4, 166, 9, 171)(5, 167, 11, 173)(6, 168, 13, 175)(8, 170, 16, 178)(10, 172, 19, 181)(12, 174, 22, 184)(14, 176, 25, 187)(15, 177, 27, 189)(17, 179, 30, 192)(18, 180, 32, 194)(20, 182, 35, 197)(21, 183, 37, 199)(23, 185, 40, 202)(24, 186, 42, 204)(26, 188, 45, 207)(28, 190, 48, 210)(29, 191, 50, 212)(31, 193, 53, 215)(33, 195, 56, 218)(34, 196, 58, 220)(36, 198, 61, 223)(38, 200, 64, 226)(39, 201, 66, 228)(41, 203, 69, 231)(43, 205, 72, 234)(44, 206, 74, 236)(46, 208, 77, 239)(47, 209, 63, 225)(49, 211, 80, 242)(51, 213, 75, 237)(52, 214, 83, 245)(54, 216, 86, 248)(55, 217, 71, 233)(57, 219, 89, 251)(59, 221, 67, 229)(60, 222, 92, 254)(62, 224, 95, 257)(65, 227, 98, 260)(68, 230, 101, 263)(70, 232, 104, 266)(73, 235, 107, 269)(76, 238, 110, 272)(78, 240, 113, 275)(79, 241, 115, 277)(81, 243, 118, 280)(82, 244, 120, 282)(84, 246, 116, 278)(85, 247, 123, 285)(87, 249, 105, 267)(88, 250, 127, 289)(90, 252, 130, 292)(91, 253, 131, 293)(93, 255, 128, 290)(94, 256, 132, 294)(96, 258, 114, 276)(97, 259, 134, 296)(99, 261, 137, 299)(100, 262, 139, 301)(102, 264, 135, 297)(103, 265, 142, 304)(106, 268, 146, 308)(108, 270, 149, 311)(109, 271, 150, 312)(111, 273, 147, 309)(112, 274, 151, 313)(117, 279, 136, 298)(119, 281, 152, 314)(121, 283, 140, 302)(122, 284, 155, 317)(124, 286, 143, 305)(125, 287, 145, 307)(126, 288, 144, 306)(129, 291, 148, 310)(133, 295, 138, 300)(141, 303, 160, 322)(153, 315, 161, 323)(154, 316, 162, 324)(156, 318, 158, 320)(157, 319, 159, 321)(325, 487, 327, 489, 332, 494, 341, 503, 355, 517, 378, 540, 411, 573, 450, 612, 480, 642, 484, 646, 481, 643, 457, 619, 420, 582, 386, 548, 360, 522, 344, 506, 334, 496, 328, 490)(326, 488, 329, 491, 336, 498, 347, 509, 365, 527, 394, 556, 429, 591, 469, 631, 485, 647, 479, 641, 486, 648, 476, 638, 438, 600, 402, 564, 370, 532, 350, 512, 338, 500, 330, 492)(331, 493, 337, 499, 348, 510, 367, 529, 397, 559, 432, 594, 468, 630, 428, 590, 466, 628, 455, 617, 463, 625, 456, 618, 419, 581, 443, 605, 405, 567, 373, 535, 352, 514, 339, 501)(333, 495, 342, 504, 357, 519, 381, 543, 414, 576, 449, 611, 410, 572, 447, 609, 474, 636, 444, 606, 475, 637, 437, 599, 462, 624, 423, 585, 389, 551, 362, 524, 345, 507, 335, 497)(340, 502, 351, 513, 371, 533, 388, 550, 421, 583, 459, 621, 482, 644, 473, 635, 453, 615, 413, 575, 451, 613, 416, 578, 385, 547, 418, 580, 445, 607, 406, 568, 375, 537, 353, 515)(343, 505, 358, 520, 383, 545, 415, 577, 448, 610, 409, 571, 377, 539, 407, 569, 439, 601, 404, 566, 441, 603, 461, 623, 483, 645, 471, 633, 430, 592, 396, 558, 379, 541, 356, 518)(346, 508, 361, 523, 387, 549, 372, 534, 403, 565, 440, 602, 477, 639, 454, 616, 472, 634, 431, 593, 470, 632, 434, 596, 401, 563, 436, 598, 464, 626, 424, 586, 391, 553, 363, 525)(349, 511, 368, 530, 399, 561, 433, 595, 467, 629, 427, 589, 393, 555, 425, 587, 458, 620, 422, 584, 460, 622, 442, 604, 478, 640, 452, 614, 412, 574, 380, 542, 395, 557, 366, 528)(354, 516, 374, 536, 398, 560, 369, 531, 400, 562, 435, 597, 465, 627, 426, 588, 392, 554, 364, 526, 390, 552, 382, 544, 359, 521, 384, 546, 417, 579, 446, 608, 408, 570, 376, 538)
	L = (1, 326)(2, 325)(3, 331)(4, 333)(5, 335)(6, 337)(7, 327)(8, 340)(9, 328)(10, 343)(11, 329)(12, 346)(13, 330)(14, 349)(15, 351)(16, 332)(17, 354)(18, 356)(19, 334)(20, 359)(21, 361)(22, 336)(23, 364)(24, 366)(25, 338)(26, 369)(27, 339)(28, 372)(29, 374)(30, 341)(31, 377)(32, 342)(33, 380)(34, 382)(35, 344)(36, 385)(37, 345)(38, 388)(39, 390)(40, 347)(41, 393)(42, 348)(43, 396)(44, 398)(45, 350)(46, 401)(47, 387)(48, 352)(49, 404)(50, 353)(51, 399)(52, 407)(53, 355)(54, 410)(55, 395)(56, 357)(57, 413)(58, 358)(59, 391)(60, 416)(61, 360)(62, 419)(63, 371)(64, 362)(65, 422)(66, 363)(67, 383)(68, 425)(69, 365)(70, 428)(71, 379)(72, 367)(73, 431)(74, 368)(75, 375)(76, 434)(77, 370)(78, 437)(79, 439)(80, 373)(81, 442)(82, 444)(83, 376)(84, 440)(85, 447)(86, 378)(87, 429)(88, 451)(89, 381)(90, 454)(91, 455)(92, 384)(93, 452)(94, 456)(95, 386)(96, 438)(97, 458)(98, 389)(99, 461)(100, 463)(101, 392)(102, 459)(103, 466)(104, 394)(105, 411)(106, 470)(107, 397)(108, 473)(109, 474)(110, 400)(111, 471)(112, 475)(113, 402)(114, 420)(115, 403)(116, 408)(117, 460)(118, 405)(119, 476)(120, 406)(121, 464)(122, 479)(123, 409)(124, 467)(125, 469)(126, 468)(127, 412)(128, 417)(129, 472)(130, 414)(131, 415)(132, 418)(133, 462)(134, 421)(135, 426)(136, 441)(137, 423)(138, 457)(139, 424)(140, 445)(141, 484)(142, 427)(143, 448)(144, 450)(145, 449)(146, 430)(147, 435)(148, 453)(149, 432)(150, 433)(151, 436)(152, 443)(153, 485)(154, 486)(155, 446)(156, 482)(157, 483)(158, 480)(159, 481)(160, 465)(161, 477)(162, 478)(163, 487)(164, 488)(165, 489)(166, 490)(167, 491)(168, 492)(169, 493)(170, 494)(171, 495)(172, 496)(173, 497)(174, 498)(175, 499)(176, 500)(177, 501)(178, 502)(179, 503)(180, 504)(181, 505)(182, 506)(183, 507)(184, 508)(185, 509)(186, 510)(187, 511)(188, 512)(189, 513)(190, 514)(191, 515)(192, 516)(193, 517)(194, 518)(195, 519)(196, 520)(197, 521)(198, 522)(199, 523)(200, 524)(201, 525)(202, 526)(203, 527)(204, 528)(205, 529)(206, 530)(207, 531)(208, 532)(209, 533)(210, 534)(211, 535)(212, 536)(213, 537)(214, 538)(215, 539)(216, 540)(217, 541)(218, 542)(219, 543)(220, 544)(221, 545)(222, 546)(223, 547)(224, 548)(225, 549)(226, 550)(227, 551)(228, 552)(229, 553)(230, 554)(231, 555)(232, 556)(233, 557)(234, 558)(235, 559)(236, 560)(237, 561)(238, 562)(239, 563)(240, 564)(241, 565)(242, 566)(243, 567)(244, 568)(245, 569)(246, 570)(247, 571)(248, 572)(249, 573)(250, 574)(251, 575)(252, 576)(253, 577)(254, 578)(255, 579)(256, 580)(257, 581)(258, 582)(259, 583)(260, 584)(261, 585)(262, 586)(263, 587)(264, 588)(265, 589)(266, 590)(267, 591)(268, 592)(269, 593)(270, 594)(271, 595)(272, 596)(273, 597)(274, 598)(275, 599)(276, 600)(277, 601)(278, 602)(279, 603)(280, 604)(281, 605)(282, 606)(283, 607)(284, 608)(285, 609)(286, 610)(287, 611)(288, 612)(289, 613)(290, 614)(291, 615)(292, 616)(293, 617)(294, 618)(295, 619)(296, 620)(297, 621)(298, 622)(299, 623)(300, 624)(301, 625)(302, 626)(303, 627)(304, 628)(305, 629)(306, 630)(307, 631)(308, 632)(309, 633)(310, 634)(311, 635)(312, 636)(313, 637)(314, 638)(315, 639)(316, 640)(317, 641)(318, 642)(319, 643)(320, 644)(321, 645)(322, 646)(323, 647)(324, 648)
	local type(s) :: { ( 2, 6, 2, 6 ), ( 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 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 E10.866
Graph:: bipartite
	v = 90 e = 324 f = 216
	degree seq :: [ 4^81, 36^9 ]

E10.866 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 18})
Quotient :: dipole
Aut^+ = ((C9 x C3) : C3) : C2 (small group id <162, 14>)
Aut   = (((C9 x C3) : C3) : C2) : C2 (small group id <324, 41>)
|r| :: 2
Presentation :: [ Y2, R^2, Y1^3, (Y3^-1 * Y1^-1)^2, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, (Y3^2 * Y1^-1)^3, Y3 * Y1^-1 * Y3^3 * Y1^-2 * Y3^2 * Y1^-1 * Y3^-2 * Y1^-1, Y3^5 * Y1^-1 * Y3^-7 * Y1^-1, (Y3 * Y2^-1)^18 ]
Map:: polytopal
	R = (1, 163, 2, 164, 4, 166)(3, 165, 8, 170, 10, 172)(5, 167, 12, 174, 6, 168)(7, 169, 15, 177, 11, 173)(9, 171, 18, 180, 20, 182)(13, 175, 25, 187, 23, 185)(14, 176, 24, 186, 28, 190)(16, 178, 31, 193, 29, 191)(17, 179, 33, 195, 21, 183)(19, 181, 36, 198, 38, 200)(22, 184, 30, 192, 42, 204)(26, 188, 47, 209, 45, 207)(27, 189, 49, 211, 51, 213)(32, 194, 56, 218, 55, 217)(34, 196, 59, 221, 58, 220)(35, 197, 53, 215, 39, 201)(37, 199, 63, 225, 65, 227)(40, 202, 52, 214, 44, 206)(41, 203, 68, 230, 70, 232)(43, 205, 46, 208, 54, 216)(48, 210, 76, 238, 74, 236)(50, 212, 79, 241, 81, 243)(57, 219, 87, 249, 85, 247)(60, 222, 91, 253, 90, 252)(61, 223, 93, 255, 82, 244)(62, 224, 89, 251, 66, 228)(64, 226, 97, 259, 99, 261)(67, 229, 72, 234, 102, 264)(69, 231, 104, 266, 106, 268)(71, 233, 83, 245, 108, 270)(73, 235, 75, 237, 78, 240)(77, 239, 114, 276, 112, 274)(80, 242, 118, 280, 120, 282)(84, 246, 86, 248, 103, 265)(88, 250, 128, 290, 126, 288)(92, 254, 134, 296, 132, 294)(94, 256, 125, 287, 127, 289)(95, 257, 137, 299, 130, 292)(96, 258, 122, 284, 100, 262)(98, 260, 119, 281, 142, 304)(101, 263, 121, 283, 117, 279)(105, 267, 147, 309, 141, 303)(107, 269, 148, 310, 146, 308)(109, 271, 131, 293, 133, 295)(110, 272, 116, 278, 150, 312)(111, 273, 113, 275, 123, 285)(115, 277, 129, 291, 135, 297)(124, 286, 145, 307, 157, 319)(136, 298, 151, 313, 152, 314)(138, 300, 156, 318, 161, 323)(139, 301, 155, 317, 154, 316)(140, 302, 159, 321, 143, 305)(144, 306, 153, 315, 162, 324)(149, 311, 158, 320, 160, 322)(325, 487)(326, 488)(327, 489)(328, 490)(329, 491)(330, 492)(331, 493)(332, 494)(333, 495)(334, 496)(335, 497)(336, 498)(337, 499)(338, 500)(339, 501)(340, 502)(341, 503)(342, 504)(343, 505)(344, 506)(345, 507)(346, 508)(347, 509)(348, 510)(349, 511)(350, 512)(351, 513)(352, 514)(353, 515)(354, 516)(355, 517)(356, 518)(357, 519)(358, 520)(359, 521)(360, 522)(361, 523)(362, 524)(363, 525)(364, 526)(365, 527)(366, 528)(367, 529)(368, 530)(369, 531)(370, 532)(371, 533)(372, 534)(373, 535)(374, 536)(375, 537)(376, 538)(377, 539)(378, 540)(379, 541)(380, 542)(381, 543)(382, 544)(383, 545)(384, 546)(385, 547)(386, 548)(387, 549)(388, 550)(389, 551)(390, 552)(391, 553)(392, 554)(393, 555)(394, 556)(395, 557)(396, 558)(397, 559)(398, 560)(399, 561)(400, 562)(401, 563)(402, 564)(403, 565)(404, 566)(405, 567)(406, 568)(407, 569)(408, 570)(409, 571)(410, 572)(411, 573)(412, 574)(413, 575)(414, 576)(415, 577)(416, 578)(417, 579)(418, 580)(419, 581)(420, 582)(421, 583)(422, 584)(423, 585)(424, 586)(425, 587)(426, 588)(427, 589)(428, 590)(429, 591)(430, 592)(431, 593)(432, 594)(433, 595)(434, 596)(435, 597)(436, 598)(437, 599)(438, 600)(439, 601)(440, 602)(441, 603)(442, 604)(443, 605)(444, 606)(445, 607)(446, 608)(447, 609)(448, 610)(449, 611)(450, 612)(451, 613)(452, 614)(453, 615)(454, 616)(455, 617)(456, 618)(457, 619)(458, 620)(459, 621)(460, 622)(461, 623)(462, 624)(463, 625)(464, 626)(465, 627)(466, 628)(467, 629)(468, 630)(469, 631)(470, 632)(471, 633)(472, 634)(473, 635)(474, 636)(475, 637)(476, 638)(477, 639)(478, 640)(479, 641)(480, 642)(481, 643)(482, 644)(483, 645)(484, 646)(485, 647)(486, 648)
	L = (1, 327)(2, 330)(3, 333)(4, 335)(5, 325)(6, 338)(7, 326)(8, 328)(9, 343)(10, 345)(11, 346)(12, 347)(13, 329)(14, 351)(15, 353)(16, 331)(17, 332)(18, 334)(19, 361)(20, 363)(21, 364)(22, 365)(23, 367)(24, 336)(25, 369)(26, 337)(27, 374)(28, 376)(29, 377)(30, 339)(31, 379)(32, 340)(33, 382)(34, 341)(35, 342)(36, 344)(37, 388)(38, 390)(39, 355)(40, 391)(41, 393)(42, 370)(43, 395)(44, 348)(45, 397)(46, 349)(47, 398)(48, 350)(49, 352)(50, 404)(51, 399)(52, 357)(53, 406)(54, 354)(55, 408)(56, 409)(57, 356)(58, 413)(59, 414)(60, 358)(61, 359)(62, 360)(63, 362)(64, 422)(65, 424)(66, 383)(67, 425)(68, 366)(69, 429)(70, 410)(71, 431)(72, 368)(73, 434)(74, 435)(75, 371)(76, 436)(77, 372)(78, 373)(79, 375)(80, 443)(81, 445)(82, 446)(83, 378)(84, 448)(85, 449)(86, 380)(87, 450)(88, 381)(89, 454)(90, 455)(91, 456)(92, 384)(93, 451)(94, 385)(95, 386)(96, 387)(97, 389)(98, 465)(99, 467)(100, 417)(101, 468)(102, 457)(103, 392)(104, 394)(105, 466)(106, 472)(107, 464)(108, 437)(109, 396)(110, 463)(111, 462)(112, 460)(113, 400)(114, 459)(115, 401)(116, 402)(117, 403)(118, 405)(119, 423)(120, 479)(121, 426)(122, 478)(123, 407)(124, 477)(125, 476)(126, 473)(127, 411)(128, 439)(129, 412)(130, 483)(131, 484)(132, 480)(133, 415)(134, 453)(135, 416)(136, 418)(137, 485)(138, 419)(139, 420)(140, 421)(141, 486)(142, 444)(143, 461)(144, 471)(145, 427)(146, 428)(147, 430)(148, 432)(149, 433)(150, 475)(151, 438)(152, 440)(153, 441)(154, 442)(155, 474)(156, 447)(157, 482)(158, 452)(159, 470)(160, 469)(161, 458)(162, 481)(163, 487)(164, 488)(165, 489)(166, 490)(167, 491)(168, 492)(169, 493)(170, 494)(171, 495)(172, 496)(173, 497)(174, 498)(175, 499)(176, 500)(177, 501)(178, 502)(179, 503)(180, 504)(181, 505)(182, 506)(183, 507)(184, 508)(185, 509)(186, 510)(187, 511)(188, 512)(189, 513)(190, 514)(191, 515)(192, 516)(193, 517)(194, 518)(195, 519)(196, 520)(197, 521)(198, 522)(199, 523)(200, 524)(201, 525)(202, 526)(203, 527)(204, 528)(205, 529)(206, 530)(207, 531)(208, 532)(209, 533)(210, 534)(211, 535)(212, 536)(213, 537)(214, 538)(215, 539)(216, 540)(217, 541)(218, 542)(219, 543)(220, 544)(221, 545)(222, 546)(223, 547)(224, 548)(225, 549)(226, 550)(227, 551)(228, 552)(229, 553)(230, 554)(231, 555)(232, 556)(233, 557)(234, 558)(235, 559)(236, 560)(237, 561)(238, 562)(239, 563)(240, 564)(241, 565)(242, 566)(243, 567)(244, 568)(245, 569)(246, 570)(247, 571)(248, 572)(249, 573)(250, 574)(251, 575)(252, 576)(253, 577)(254, 578)(255, 579)(256, 580)(257, 581)(258, 582)(259, 583)(260, 584)(261, 585)(262, 586)(263, 587)(264, 588)(265, 589)(266, 590)(267, 591)(268, 592)(269, 593)(270, 594)(271, 595)(272, 596)(273, 597)(274, 598)(275, 599)(276, 600)(277, 601)(278, 602)(279, 603)(280, 604)(281, 605)(282, 606)(283, 607)(284, 608)(285, 609)(286, 610)(287, 611)(288, 612)(289, 613)(290, 614)(291, 615)(292, 616)(293, 617)(294, 618)(295, 619)(296, 620)(297, 621)(298, 622)(299, 623)(300, 624)(301, 625)(302, 626)(303, 627)(304, 628)(305, 629)(306, 630)(307, 631)(308, 632)(309, 633)(310, 634)(311, 635)(312, 636)(313, 637)(314, 638)(315, 639)(316, 640)(317, 641)(318, 642)(319, 643)(320, 644)(321, 645)(322, 646)(323, 647)(324, 648)
	local type(s) :: { ( 4, 36 ), ( 4, 36, 4, 36, 4, 36 ) }
Outer automorphisms :: reflexible
Dual of E10.865
Graph:: simple bipartite
	v = 216 e = 324 f = 90
	degree seq :: [ 2^162, 6^54 ]

E10.867 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 4, 7})
Quotient :: regular
Aut^+ = PSL(3,2) (small group id <168, 42>)
Aut   = PSL(3,2) : C2 (small group id <336, 208>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T1^7, (T1^-1 * T2)^4, (T2 * T1^2)^3, (T1^-1 * T2 * T1^3 * T2 * T1^-1)^2, (T1 * T2 * T1^-2 * T2)^3, (T1^2 * T2 * T1^-1 * T2)^3 ]
Map:: polyhedral non-degenerate
	R = (1, 2, 5, 11, 22, 10, 4)(3, 7, 15, 30, 36, 18, 8)(6, 13, 26, 48, 52, 29, 14)(9, 19, 37, 62, 66, 39, 20)(12, 24, 35, 60, 76, 47, 25)(16, 32, 55, 87, 90, 57, 33)(17, 34, 58, 91, 78, 49, 27)(21, 40, 67, 86, 54, 31, 41)(23, 43, 51, 81, 106, 73, 44)(28, 50, 79, 114, 93, 59, 45)(38, 64, 56, 88, 125, 100, 65)(42, 69, 75, 109, 98, 63, 70)(46, 74, 107, 144, 116, 80, 71)(53, 83, 89, 127, 147, 110, 84)(61, 95, 123, 156, 130, 92, 96)(68, 102, 99, 137, 164, 141, 103)(72, 105, 142, 166, 145, 108, 104)(77, 111, 113, 149, 167, 143, 112)(82, 118, 97, 135, 138, 115, 119)(85, 122, 117, 152, 151, 126, 120)(94, 132, 131, 162, 163, 136, 133)(101, 139, 146, 168, 157, 124, 140)(121, 154, 165, 153, 148, 155, 134)(128, 159, 129, 161, 150, 158, 160)
	L = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 17)(10, 21)(11, 23)(13, 27)(14, 28)(15, 31)(18, 35)(19, 38)(20, 32)(22, 42)(24, 45)(25, 46)(26, 39)(29, 51)(30, 53)(33, 56)(34, 59)(36, 61)(37, 63)(40, 68)(41, 64)(43, 71)(44, 72)(47, 75)(48, 77)(49, 55)(50, 80)(52, 82)(54, 85)(57, 89)(58, 92)(60, 94)(62, 97)(65, 99)(66, 101)(67, 73)(69, 104)(70, 102)(74, 108)(76, 110)(78, 113)(79, 115)(81, 117)(83, 120)(84, 121)(86, 123)(87, 124)(88, 126)(90, 128)(91, 129)(93, 131)(95, 134)(96, 132)(98, 136)(100, 138)(103, 105)(106, 143)(107, 127)(109, 146)(111, 140)(112, 148)(114, 150)(116, 151)(118, 153)(119, 152)(122, 155)(125, 158)(130, 141)(133, 154)(135, 163)(137, 162)(139, 165)(142, 149)(144, 160)(145, 157)(147, 168)(156, 167)(159, 166)(161, 164)
	local type(s) :: { ( 4^7 ) }
Outer automorphisms :: reflexible
Dual of E10.868
Transitivity :: ET+ VT+ AT+ REG+
Graph:: simple
	v = 24 e = 84 f = 42
	degree seq :: [ 7^24 ]

E10.868 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 4, 7})
Quotient :: regular
Aut^+ = PSL(3,2) (small group id <168, 42>)
Aut   = PSL(3,2) : C2 (small group id <336, 208>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T1^4, T1 * T2 * T1^-2 * T2 * T1^-2 * T2 * T1, (T2 * T1)^7, (T2 * T1^-1 * T2 * T1)^4, (T2 * T1 * T2 * T1^-1 * T2 * T1^-1)^3 ]
Map:: polyhedral non-degenerate
	R = (1, 2, 5, 4)(3, 7, 13, 8)(6, 11, 20, 12)(9, 16, 28, 17)(10, 18, 23, 19)(14, 24, 37, 25)(15, 26, 40, 27)(21, 33, 51, 34)(22, 35, 54, 36)(29, 43, 65, 44)(30, 45, 68, 46)(31, 47, 71, 48)(32, 49, 74, 50)(38, 57, 85, 58)(39, 59, 88, 60)(41, 61, 91, 62)(42, 63, 94, 64)(52, 77, 111, 78)(53, 79, 113, 80)(55, 81, 116, 82)(56, 83, 119, 84)(66, 96, 133, 97)(67, 98, 135, 99)(69, 100, 137, 101)(70, 102, 121, 86)(72, 103, 141, 104)(73, 105, 143, 106)(75, 107, 145, 108)(76, 109, 147, 110)(87, 122, 140, 123)(89, 124, 152, 118)(90, 125, 157, 126)(92, 127, 158, 128)(93, 129, 160, 130)(95, 131, 112, 132)(114, 149, 166, 146)(115, 150, 164, 138)(117, 136, 156, 151)(120, 153, 142, 154)(134, 162, 148, 163)(139, 144, 165, 159)(155, 168, 167, 161)
	L = (1, 3)(2, 6)(4, 9)(5, 10)(7, 14)(8, 15)(11, 21)(12, 22)(13, 23)(16, 29)(17, 30)(18, 31)(19, 32)(20, 28)(24, 38)(25, 39)(26, 41)(27, 42)(33, 52)(34, 53)(35, 55)(36, 56)(37, 40)(43, 66)(44, 67)(45, 69)(46, 70)(47, 72)(48, 73)(49, 75)(50, 76)(51, 54)(57, 86)(58, 87)(59, 89)(60, 90)(61, 92)(62, 93)(63, 95)(64, 77)(65, 68)(71, 74)(78, 112)(79, 114)(80, 115)(81, 117)(82, 118)(83, 120)(84, 103)(85, 88)(91, 94)(96, 110)(97, 134)(98, 129)(99, 136)(100, 138)(101, 139)(102, 140)(104, 142)(105, 144)(106, 127)(107, 126)(108, 146)(109, 148)(111, 113)(116, 119)(121, 137)(122, 154)(123, 155)(124, 156)(125, 149)(128, 159)(130, 151)(131, 161)(132, 162)(133, 135)(141, 143)(145, 147)(150, 165)(152, 157)(153, 167)(158, 160)(163, 168)(164, 166)
	local type(s) :: { ( 7^4 ) }
Outer automorphisms :: reflexible
Dual of E10.867
Transitivity :: ET+ VT+ AT+ REG+
Graph:: simple
	v = 42 e = 84 f = 24
	degree seq :: [ 4^42 ]

E10.869 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 4, 7})
Quotient :: edge
Aut^+ = PSL(3,2) (small group id <168, 42>)
Aut   = PSL(3,2) : C2 (small group id <336, 208>)
|r| :: 2
Presentation :: [ T1^2, F^2, T2^4, (F * T1)^2, (F * T2)^2, T2 * T1 * T2^-2 * T1 * T2^-2 * T1 * T2, (T1 * T2)^7, (T1 * T2^-1 * T1 * T2)^4, (T2 * T1 * T2^-1 * T1 * T2 * T1)^3 ]
Map:: polytopal
	R = (1, 3, 8, 4)(2, 5, 11, 6)(7, 13, 24, 14)(9, 16, 29, 17)(10, 18, 32, 19)(12, 21, 35, 22)(15, 26, 20, 27)(23, 37, 56, 38)(25, 39, 59, 40)(28, 43, 66, 44)(30, 45, 69, 46)(31, 47, 72, 48)(33, 49, 75, 50)(34, 51, 78, 52)(36, 53, 81, 54)(41, 61, 91, 62)(42, 63, 94, 64)(55, 82, 116, 83)(57, 84, 119, 85)(58, 86, 122, 87)(60, 88, 124, 89)(65, 96, 133, 97)(67, 98, 135, 99)(68, 100, 138, 101)(70, 102, 103, 71)(73, 104, 140, 105)(74, 106, 144, 107)(76, 108, 146, 109)(77, 110, 147, 111)(79, 112, 149, 113)(80, 114, 117, 115)(90, 125, 156, 126)(92, 127, 159, 128)(93, 129, 160, 130)(95, 131, 162, 132)(118, 145, 166, 153)(120, 154, 164, 137)(121, 136, 143, 150)(123, 155, 157, 141)(134, 152, 161, 163)(139, 158, 167, 148)(142, 165, 168, 151)(169, 170)(171, 175)(172, 177)(173, 178)(174, 180)(176, 183)(179, 188)(181, 191)(182, 193)(184, 196)(185, 198)(186, 199)(187, 201)(189, 202)(190, 204)(192, 197)(194, 209)(195, 210)(200, 203)(205, 223)(206, 225)(207, 226)(208, 228)(211, 233)(212, 235)(213, 236)(214, 238)(215, 239)(216, 241)(217, 242)(218, 244)(219, 245)(220, 247)(221, 248)(222, 250)(224, 227)(229, 258)(230, 260)(231, 261)(232, 263)(234, 237)(240, 243)(246, 249)(251, 285)(252, 286)(253, 288)(254, 289)(255, 275)(256, 291)(257, 293)(259, 262)(264, 300)(265, 302)(266, 280)(267, 304)(268, 305)(269, 307)(270, 308)(271, 306)(272, 309)(273, 310)(274, 311)(276, 313)(277, 297)(278, 296)(279, 316)(281, 318)(282, 319)(283, 320)(284, 287)(290, 292)(294, 325)(295, 326)(298, 321)(299, 329)(301, 303)(312, 314)(315, 317)(322, 335)(323, 336)(324, 327)(328, 330)(331, 333)(332, 334)
	L = (1, 169)(2, 170)(3, 171)(4, 172)(5, 173)(6, 174)(7, 175)(8, 176)(9, 177)(10, 178)(11, 179)(12, 180)(13, 181)(14, 182)(15, 183)(16, 184)(17, 185)(18, 186)(19, 187)(20, 188)(21, 189)(22, 190)(23, 191)(24, 192)(25, 193)(26, 194)(27, 195)(28, 196)(29, 197)(30, 198)(31, 199)(32, 200)(33, 201)(34, 202)(35, 203)(36, 204)(37, 205)(38, 206)(39, 207)(40, 208)(41, 209)(42, 210)(43, 211)(44, 212)(45, 213)(46, 214)(47, 215)(48, 216)(49, 217)(50, 218)(51, 219)(52, 220)(53, 221)(54, 222)(55, 223)(56, 224)(57, 225)(58, 226)(59, 227)(60, 228)(61, 229)(62, 230)(63, 231)(64, 232)(65, 233)(66, 234)(67, 235)(68, 236)(69, 237)(70, 238)(71, 239)(72, 240)(73, 241)(74, 242)(75, 243)(76, 244)(77, 245)(78, 246)(79, 247)(80, 248)(81, 249)(82, 250)(83, 251)(84, 252)(85, 253)(86, 254)(87, 255)(88, 256)(89, 257)(90, 258)(91, 259)(92, 260)(93, 261)(94, 262)(95, 263)(96, 264)(97, 265)(98, 266)(99, 267)(100, 268)(101, 269)(102, 270)(103, 271)(104, 272)(105, 273)(106, 274)(107, 275)(108, 276)(109, 277)(110, 278)(111, 279)(112, 280)(113, 281)(114, 282)(115, 283)(116, 284)(117, 285)(118, 286)(119, 287)(120, 288)(121, 289)(122, 290)(123, 291)(124, 292)(125, 293)(126, 294)(127, 295)(128, 296)(129, 297)(130, 298)(131, 299)(132, 300)(133, 301)(134, 302)(135, 303)(136, 304)(137, 305)(138, 306)(139, 307)(140, 308)(141, 309)(142, 310)(143, 311)(144, 312)(145, 313)(146, 314)(147, 315)(148, 316)(149, 317)(150, 318)(151, 319)(152, 320)(153, 321)(154, 322)(155, 323)(156, 324)(157, 325)(158, 326)(159, 327)(160, 328)(161, 329)(162, 330)(163, 331)(164, 332)(165, 333)(166, 334)(167, 335)(168, 336)
	local type(s) :: { ( 14, 14 ), ( 14^4 ) }
Outer automorphisms :: reflexible
Dual of E10.873
Transitivity :: ET+
Graph:: simple bipartite
	v = 126 e = 168 f = 24
	degree seq :: [ 2^84, 4^42 ]

E10.870 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 4, 7})
Quotient :: edge
Aut^+ = PSL(3,2) (small group id <168, 42>)
Aut   = PSL(3,2) : C2 (small group id <336, 208>)
|r| :: 2
Presentation :: [ F^2, (T1 * T2)^2, (F * T1)^2, (F * T2)^2, T1^4, (T2^-1 * T1)^3, T2^7, T1^-2 * T2^3 * T1^-2 * T2^2 * T1^-1 * T2^-2 * T1^-1 * T2^2 ]
Map:: polyhedral non-degenerate
	R = (1, 3, 10, 24, 30, 14, 5)(2, 7, 17, 36, 40, 20, 8)(4, 12, 26, 49, 43, 22, 9)(6, 15, 31, 56, 60, 34, 16)(11, 19, 38, 65, 75, 45, 23)(13, 28, 51, 83, 79, 48, 27)(18, 33, 58, 91, 97, 62, 35)(21, 41, 69, 105, 88, 55, 32)(25, 42, 71, 107, 114, 77, 46)(29, 53, 85, 124, 99, 63, 37)(39, 67, 102, 141, 128, 89, 57)(44, 73, 109, 148, 143, 104, 70)(47, 74, 111, 150, 121, 84, 54)(50, 59, 93, 131, 153, 118, 80)(52, 61, 95, 133, 159, 120, 82)(64, 96, 135, 149, 112, 101, 68)(66, 87, 125, 162, 160, 139, 100)(72, 81, 116, 122, 158, 144, 106)(76, 113, 152, 132, 164, 147, 110)(78, 115, 154, 151, 165, 129, 92)(86, 119, 157, 163, 127, 161, 123)(90, 126, 145, 167, 136, 130, 94)(98, 137, 146, 108, 142, 166, 134)(103, 138, 168, 155, 117, 156, 140)(169, 170, 174, 172)(171, 177, 189, 179)(173, 181, 186, 175)(176, 187, 200, 183)(178, 191, 212, 193)(180, 184, 201, 195)(182, 197, 220, 196)(185, 203, 229, 205)(188, 207, 234, 206)(190, 210, 238, 209)(192, 214, 244, 215)(194, 216, 246, 218)(198, 222, 254, 221)(199, 223, 255, 225)(202, 227, 260, 226)(204, 231, 266, 232)(208, 236, 271, 235)(211, 240, 276, 239)(213, 242, 278, 241)(217, 248, 285, 249)(219, 250, 287, 252)(224, 257, 295, 258)(228, 262, 300, 261)(230, 264, 302, 263)(233, 268, 306, 269)(237, 272, 310, 274)(243, 280, 319, 279)(245, 253, 291, 281)(247, 284, 323, 283)(251, 289, 328, 290)(256, 294, 331, 293)(259, 297, 332, 298)(265, 304, 316, 303)(267, 270, 308, 305)(273, 312, 327, 313)(275, 314, 324, 286)(277, 315, 333, 317)(282, 321, 309, 292)(288, 326, 330, 325)(296, 299, 320, 329)(301, 334, 311, 335)(307, 318, 322, 336)
	L = (1, 169)(2, 170)(3, 171)(4, 172)(5, 173)(6, 174)(7, 175)(8, 176)(9, 177)(10, 178)(11, 179)(12, 180)(13, 181)(14, 182)(15, 183)(16, 184)(17, 185)(18, 186)(19, 187)(20, 188)(21, 189)(22, 190)(23, 191)(24, 192)(25, 193)(26, 194)(27, 195)(28, 196)(29, 197)(30, 198)(31, 199)(32, 200)(33, 201)(34, 202)(35, 203)(36, 204)(37, 205)(38, 206)(39, 207)(40, 208)(41, 209)(42, 210)(43, 211)(44, 212)(45, 213)(46, 214)(47, 215)(48, 216)(49, 217)(50, 218)(51, 219)(52, 220)(53, 221)(54, 222)(55, 223)(56, 224)(57, 225)(58, 226)(59, 227)(60, 228)(61, 229)(62, 230)(63, 231)(64, 232)(65, 233)(66, 234)(67, 235)(68, 236)(69, 237)(70, 238)(71, 239)(72, 240)(73, 241)(74, 242)(75, 243)(76, 244)(77, 245)(78, 246)(79, 247)(80, 248)(81, 249)(82, 250)(83, 251)(84, 252)(85, 253)(86, 254)(87, 255)(88, 256)(89, 257)(90, 258)(91, 259)(92, 260)(93, 261)(94, 262)(95, 263)(96, 264)(97, 265)(98, 266)(99, 267)(100, 268)(101, 269)(102, 270)(103, 271)(104, 272)(105, 273)(106, 274)(107, 275)(108, 276)(109, 277)(110, 278)(111, 279)(112, 280)(113, 281)(114, 282)(115, 283)(116, 284)(117, 285)(118, 286)(119, 287)(120, 288)(121, 289)(122, 290)(123, 291)(124, 292)(125, 293)(126, 294)(127, 295)(128, 296)(129, 297)(130, 298)(131, 299)(132, 300)(133, 301)(134, 302)(135, 303)(136, 304)(137, 305)(138, 306)(139, 307)(140, 308)(141, 309)(142, 310)(143, 311)(144, 312)(145, 313)(146, 314)(147, 315)(148, 316)(149, 317)(150, 318)(151, 319)(152, 320)(153, 321)(154, 322)(155, 323)(156, 324)(157, 325)(158, 326)(159, 327)(160, 328)(161, 329)(162, 330)(163, 331)(164, 332)(165, 333)(166, 334)(167, 335)(168, 336)
	local type(s) :: { ( 4^4 ), ( 4^7 ) }
Outer automorphisms :: reflexible
Dual of E10.874
Transitivity :: ET+
Graph:: simple bipartite
	v = 66 e = 168 f = 84
	degree seq :: [ 4^42, 7^24 ]

E10.871 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 4, 7})
Quotient :: edge
Aut^+ = PSL(3,2) (small group id <168, 42>)
Aut   = PSL(3,2) : C2 (small group id <336, 208>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T1^7, (T2 * T1^-1)^4, (T2 * T1^2)^3, (T1^-1 * T2 * T1^3 * T2 * T1^-1)^2, (T1 * T2 * T1^-2 * T2)^3, (T1^2 * T2 * T1^-1 * T2)^3 ]
Map:: polytopal
	R = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 17)(10, 21)(11, 23)(13, 27)(14, 28)(15, 31)(18, 35)(19, 38)(20, 32)(22, 42)(24, 45)(25, 46)(26, 39)(29, 51)(30, 53)(33, 56)(34, 59)(36, 61)(37, 63)(40, 68)(41, 64)(43, 71)(44, 72)(47, 75)(48, 77)(49, 55)(50, 80)(52, 82)(54, 85)(57, 89)(58, 92)(60, 94)(62, 97)(65, 99)(66, 101)(67, 73)(69, 104)(70, 102)(74, 108)(76, 110)(78, 113)(79, 115)(81, 117)(83, 120)(84, 121)(86, 123)(87, 124)(88, 126)(90, 128)(91, 129)(93, 131)(95, 134)(96, 132)(98, 136)(100, 138)(103, 105)(106, 143)(107, 127)(109, 146)(111, 140)(112, 148)(114, 150)(116, 151)(118, 153)(119, 152)(122, 155)(125, 158)(130, 141)(133, 154)(135, 163)(137, 162)(139, 165)(142, 149)(144, 160)(145, 157)(147, 168)(156, 167)(159, 166)(161, 164)(169, 170, 173, 179, 190, 178, 172)(171, 175, 183, 198, 204, 186, 176)(174, 181, 194, 216, 220, 197, 182)(177, 187, 205, 230, 234, 207, 188)(180, 192, 203, 228, 244, 215, 193)(184, 200, 223, 255, 258, 225, 201)(185, 202, 226, 259, 246, 217, 195)(189, 208, 235, 254, 222, 199, 209)(191, 211, 219, 249, 274, 241, 212)(196, 218, 247, 282, 261, 227, 213)(206, 232, 224, 256, 293, 268, 233)(210, 237, 243, 277, 266, 231, 238)(214, 242, 275, 312, 284, 248, 239)(221, 251, 257, 295, 315, 278, 252)(229, 263, 291, 324, 298, 260, 264)(236, 270, 267, 305, 332, 309, 271)(240, 273, 310, 334, 313, 276, 272)(245, 279, 281, 317, 335, 311, 280)(250, 286, 265, 303, 306, 283, 287)(253, 290, 285, 320, 319, 294, 288)(262, 300, 299, 330, 331, 304, 301)(269, 307, 314, 336, 325, 292, 308)(289, 322, 333, 321, 316, 323, 302)(296, 327, 297, 329, 318, 326, 328)
	L = (1, 169)(2, 170)(3, 171)(4, 172)(5, 173)(6, 174)(7, 175)(8, 176)(9, 177)(10, 178)(11, 179)(12, 180)(13, 181)(14, 182)(15, 183)(16, 184)(17, 185)(18, 186)(19, 187)(20, 188)(21, 189)(22, 190)(23, 191)(24, 192)(25, 193)(26, 194)(27, 195)(28, 196)(29, 197)(30, 198)(31, 199)(32, 200)(33, 201)(34, 202)(35, 203)(36, 204)(37, 205)(38, 206)(39, 207)(40, 208)(41, 209)(42, 210)(43, 211)(44, 212)(45, 213)(46, 214)(47, 215)(48, 216)(49, 217)(50, 218)(51, 219)(52, 220)(53, 221)(54, 222)(55, 223)(56, 224)(57, 225)(58, 226)(59, 227)(60, 228)(61, 229)(62, 230)(63, 231)(64, 232)(65, 233)(66, 234)(67, 235)(68, 236)(69, 237)(70, 238)(71, 239)(72, 240)(73, 241)(74, 242)(75, 243)(76, 244)(77, 245)(78, 246)(79, 247)(80, 248)(81, 249)(82, 250)(83, 251)(84, 252)(85, 253)(86, 254)(87, 255)(88, 256)(89, 257)(90, 258)(91, 259)(92, 260)(93, 261)(94, 262)(95, 263)(96, 264)(97, 265)(98, 266)(99, 267)(100, 268)(101, 269)(102, 270)(103, 271)(104, 272)(105, 273)(106, 274)(107, 275)(108, 276)(109, 277)(110, 278)(111, 279)(112, 280)(113, 281)(114, 282)(115, 283)(116, 284)(117, 285)(118, 286)(119, 287)(120, 288)(121, 289)(122, 290)(123, 291)(124, 292)(125, 293)(126, 294)(127, 295)(128, 296)(129, 297)(130, 298)(131, 299)(132, 300)(133, 301)(134, 302)(135, 303)(136, 304)(137, 305)(138, 306)(139, 307)(140, 308)(141, 309)(142, 310)(143, 311)(144, 312)(145, 313)(146, 314)(147, 315)(148, 316)(149, 317)(150, 318)(151, 319)(152, 320)(153, 321)(154, 322)(155, 323)(156, 324)(157, 325)(158, 326)(159, 327)(160, 328)(161, 329)(162, 330)(163, 331)(164, 332)(165, 333)(166, 334)(167, 335)(168, 336)
	local type(s) :: { ( 8, 8 ), ( 8^7 ) }
Outer automorphisms :: reflexible
Dual of E10.872
Transitivity :: ET+
Graph:: simple bipartite
	v = 108 e = 168 f = 42
	degree seq :: [ 2^84, 7^24 ]

E10.872 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 4, 7})
Quotient :: loop
Aut^+ = PSL(3,2) (small group id <168, 42>)
Aut   = PSL(3,2) : C2 (small group id <336, 208>)
|r| :: 2
Presentation :: [ T1^2, F^2, T2^4, (F * T1)^2, (F * T2)^2, T2 * T1 * T2^-2 * T1 * T2^-2 * T1 * T2, (T1 * T2)^7, (T1 * T2^-1 * T1 * T2)^4, (T2 * T1 * T2^-1 * T1 * T2 * T1)^3 ]
Map::
	R = (1, 169, 3, 171, 8, 176, 4, 172)(2, 170, 5, 173, 11, 179, 6, 174)(7, 175, 13, 181, 24, 192, 14, 182)(9, 177, 16, 184, 29, 197, 17, 185)(10, 178, 18, 186, 32, 200, 19, 187)(12, 180, 21, 189, 35, 203, 22, 190)(15, 183, 26, 194, 20, 188, 27, 195)(23, 191, 37, 205, 56, 224, 38, 206)(25, 193, 39, 207, 59, 227, 40, 208)(28, 196, 43, 211, 66, 234, 44, 212)(30, 198, 45, 213, 69, 237, 46, 214)(31, 199, 47, 215, 72, 240, 48, 216)(33, 201, 49, 217, 75, 243, 50, 218)(34, 202, 51, 219, 78, 246, 52, 220)(36, 204, 53, 221, 81, 249, 54, 222)(41, 209, 61, 229, 91, 259, 62, 230)(42, 210, 63, 231, 94, 262, 64, 232)(55, 223, 82, 250, 116, 284, 83, 251)(57, 225, 84, 252, 119, 287, 85, 253)(58, 226, 86, 254, 122, 290, 87, 255)(60, 228, 88, 256, 124, 292, 89, 257)(65, 233, 96, 264, 133, 301, 97, 265)(67, 235, 98, 266, 135, 303, 99, 267)(68, 236, 100, 268, 138, 306, 101, 269)(70, 238, 102, 270, 103, 271, 71, 239)(73, 241, 104, 272, 140, 308, 105, 273)(74, 242, 106, 274, 144, 312, 107, 275)(76, 244, 108, 276, 146, 314, 109, 277)(77, 245, 110, 278, 147, 315, 111, 279)(79, 247, 112, 280, 149, 317, 113, 281)(80, 248, 114, 282, 117, 285, 115, 283)(90, 258, 125, 293, 156, 324, 126, 294)(92, 260, 127, 295, 159, 327, 128, 296)(93, 261, 129, 297, 160, 328, 130, 298)(95, 263, 131, 299, 162, 330, 132, 300)(118, 286, 145, 313, 166, 334, 153, 321)(120, 288, 154, 322, 164, 332, 137, 305)(121, 289, 136, 304, 143, 311, 150, 318)(123, 291, 155, 323, 157, 325, 141, 309)(134, 302, 152, 320, 161, 329, 163, 331)(139, 307, 158, 326, 167, 335, 148, 316)(142, 310, 165, 333, 168, 336, 151, 319)
	L = (1, 170)(2, 169)(3, 175)(4, 177)(5, 178)(6, 180)(7, 171)(8, 183)(9, 172)(10, 173)(11, 188)(12, 174)(13, 191)(14, 193)(15, 176)(16, 196)(17, 198)(18, 199)(19, 201)(20, 179)(21, 202)(22, 204)(23, 181)(24, 197)(25, 182)(26, 209)(27, 210)(28, 184)(29, 192)(30, 185)(31, 186)(32, 203)(33, 187)(34, 189)(35, 200)(36, 190)(37, 223)(38, 225)(39, 226)(40, 228)(41, 194)(42, 195)(43, 233)(44, 235)(45, 236)(46, 238)(47, 239)(48, 241)(49, 242)(50, 244)(51, 245)(52, 247)(53, 248)(54, 250)(55, 205)(56, 227)(57, 206)(58, 207)(59, 224)(60, 208)(61, 258)(62, 260)(63, 261)(64, 263)(65, 211)(66, 237)(67, 212)(68, 213)(69, 234)(70, 214)(71, 215)(72, 243)(73, 216)(74, 217)(75, 240)(76, 218)(77, 219)(78, 249)(79, 220)(80, 221)(81, 246)(82, 222)(83, 285)(84, 286)(85, 288)(86, 289)(87, 275)(88, 291)(89, 293)(90, 229)(91, 262)(92, 230)(93, 231)(94, 259)(95, 232)(96, 300)(97, 302)(98, 280)(99, 304)(100, 305)(101, 307)(102, 308)(103, 306)(104, 309)(105, 310)(106, 311)(107, 255)(108, 313)(109, 297)(110, 296)(111, 316)(112, 266)(113, 318)(114, 319)(115, 320)(116, 287)(117, 251)(118, 252)(119, 284)(120, 253)(121, 254)(122, 292)(123, 256)(124, 290)(125, 257)(126, 325)(127, 326)(128, 278)(129, 277)(130, 321)(131, 329)(132, 264)(133, 303)(134, 265)(135, 301)(136, 267)(137, 268)(138, 271)(139, 269)(140, 270)(141, 272)(142, 273)(143, 274)(144, 314)(145, 276)(146, 312)(147, 317)(148, 279)(149, 315)(150, 281)(151, 282)(152, 283)(153, 298)(154, 335)(155, 336)(156, 327)(157, 294)(158, 295)(159, 324)(160, 330)(161, 299)(162, 328)(163, 333)(164, 334)(165, 331)(166, 332)(167, 322)(168, 323)
	local type(s) :: { ( 2, 7, 2, 7, 2, 7, 2, 7 ) }
Outer automorphisms :: reflexible
Dual of E10.871
Transitivity :: ET+ VT+ AT
Graph::
	v = 42 e = 168 f = 108
	degree seq :: [ 8^42 ]

E10.873 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 4, 7})
Quotient :: loop
Aut^+ = PSL(3,2) (small group id <168, 42>)
Aut   = PSL(3,2) : C2 (small group id <336, 208>)
|r| :: 2
Presentation :: [ F^2, (T1 * T2)^2, (F * T1)^2, (F * T2)^2, T1^4, (T2^-1 * T1)^3, T2^7, T1^-2 * T2^3 * T1^-2 * T2^2 * T1^-1 * T2^-2 * T1^-1 * T2^2 ]
Map::
	R = (1, 169, 3, 171, 10, 178, 24, 192, 30, 198, 14, 182, 5, 173)(2, 170, 7, 175, 17, 185, 36, 204, 40, 208, 20, 188, 8, 176)(4, 172, 12, 180, 26, 194, 49, 217, 43, 211, 22, 190, 9, 177)(6, 174, 15, 183, 31, 199, 56, 224, 60, 228, 34, 202, 16, 184)(11, 179, 19, 187, 38, 206, 65, 233, 75, 243, 45, 213, 23, 191)(13, 181, 28, 196, 51, 219, 83, 251, 79, 247, 48, 216, 27, 195)(18, 186, 33, 201, 58, 226, 91, 259, 97, 265, 62, 230, 35, 203)(21, 189, 41, 209, 69, 237, 105, 273, 88, 256, 55, 223, 32, 200)(25, 193, 42, 210, 71, 239, 107, 275, 114, 282, 77, 245, 46, 214)(29, 197, 53, 221, 85, 253, 124, 292, 99, 267, 63, 231, 37, 205)(39, 207, 67, 235, 102, 270, 141, 309, 128, 296, 89, 257, 57, 225)(44, 212, 73, 241, 109, 277, 148, 316, 143, 311, 104, 272, 70, 238)(47, 215, 74, 242, 111, 279, 150, 318, 121, 289, 84, 252, 54, 222)(50, 218, 59, 227, 93, 261, 131, 299, 153, 321, 118, 286, 80, 248)(52, 220, 61, 229, 95, 263, 133, 301, 159, 327, 120, 288, 82, 250)(64, 232, 96, 264, 135, 303, 149, 317, 112, 280, 101, 269, 68, 236)(66, 234, 87, 255, 125, 293, 162, 330, 160, 328, 139, 307, 100, 268)(72, 240, 81, 249, 116, 284, 122, 290, 158, 326, 144, 312, 106, 274)(76, 244, 113, 281, 152, 320, 132, 300, 164, 332, 147, 315, 110, 278)(78, 246, 115, 283, 154, 322, 151, 319, 165, 333, 129, 297, 92, 260)(86, 254, 119, 287, 157, 325, 163, 331, 127, 295, 161, 329, 123, 291)(90, 258, 126, 294, 145, 313, 167, 335, 136, 304, 130, 298, 94, 262)(98, 266, 137, 305, 146, 314, 108, 276, 142, 310, 166, 334, 134, 302)(103, 271, 138, 306, 168, 336, 155, 323, 117, 285, 156, 324, 140, 308)
	L = (1, 170)(2, 174)(3, 177)(4, 169)(5, 181)(6, 172)(7, 173)(8, 187)(9, 189)(10, 191)(11, 171)(12, 184)(13, 186)(14, 197)(15, 176)(16, 201)(17, 203)(18, 175)(19, 200)(20, 207)(21, 179)(22, 210)(23, 212)(24, 214)(25, 178)(26, 216)(27, 180)(28, 182)(29, 220)(30, 222)(31, 223)(32, 183)(33, 195)(34, 227)(35, 229)(36, 231)(37, 185)(38, 188)(39, 234)(40, 236)(41, 190)(42, 238)(43, 240)(44, 193)(45, 242)(46, 244)(47, 192)(48, 246)(49, 248)(50, 194)(51, 250)(52, 196)(53, 198)(54, 254)(55, 255)(56, 257)(57, 199)(58, 202)(59, 260)(60, 262)(61, 205)(62, 264)(63, 266)(64, 204)(65, 268)(66, 206)(67, 208)(68, 271)(69, 272)(70, 209)(71, 211)(72, 276)(73, 213)(74, 278)(75, 280)(76, 215)(77, 253)(78, 218)(79, 284)(80, 285)(81, 217)(82, 287)(83, 289)(84, 219)(85, 291)(86, 221)(87, 225)(88, 294)(89, 295)(90, 224)(91, 297)(92, 226)(93, 228)(94, 300)(95, 230)(96, 302)(97, 304)(98, 232)(99, 270)(100, 306)(101, 233)(102, 308)(103, 235)(104, 310)(105, 312)(106, 237)(107, 314)(108, 239)(109, 315)(110, 241)(111, 243)(112, 319)(113, 245)(114, 321)(115, 247)(116, 323)(117, 249)(118, 275)(119, 252)(120, 326)(121, 328)(122, 251)(123, 281)(124, 282)(125, 256)(126, 331)(127, 258)(128, 299)(129, 332)(130, 259)(131, 320)(132, 261)(133, 334)(134, 263)(135, 265)(136, 316)(137, 267)(138, 269)(139, 318)(140, 305)(141, 292)(142, 274)(143, 335)(144, 327)(145, 273)(146, 324)(147, 333)(148, 303)(149, 277)(150, 322)(151, 279)(152, 329)(153, 309)(154, 336)(155, 283)(156, 286)(157, 288)(158, 330)(159, 313)(160, 290)(161, 296)(162, 325)(163, 293)(164, 298)(165, 317)(166, 311)(167, 301)(168, 307)
	local type(s) :: { ( 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4 ) }
Outer automorphisms :: reflexible
Dual of E10.869
Transitivity :: ET+ VT+ AT
Graph::
	v = 24 e = 168 f = 126
	degree seq :: [ 14^24 ]

E10.874 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 4, 7})
Quotient :: loop
Aut^+ = PSL(3,2) (small group id <168, 42>)
Aut   = PSL(3,2) : C2 (small group id <336, 208>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T1^7, (T2 * T1^-1)^4, (T2 * T1^2)^3, (T1^-1 * T2 * T1^3 * T2 * T1^-1)^2, (T1 * T2 * T1^-2 * T2)^3, (T1^2 * T2 * T1^-1 * T2)^3 ]
Map:: polyhedral non-degenerate
	R = (1, 169, 3, 171)(2, 170, 6, 174)(4, 172, 9, 177)(5, 173, 12, 180)(7, 175, 16, 184)(8, 176, 17, 185)(10, 178, 21, 189)(11, 179, 23, 191)(13, 181, 27, 195)(14, 182, 28, 196)(15, 183, 31, 199)(18, 186, 35, 203)(19, 187, 38, 206)(20, 188, 32, 200)(22, 190, 42, 210)(24, 192, 45, 213)(25, 193, 46, 214)(26, 194, 39, 207)(29, 197, 51, 219)(30, 198, 53, 221)(33, 201, 56, 224)(34, 202, 59, 227)(36, 204, 61, 229)(37, 205, 63, 231)(40, 208, 68, 236)(41, 209, 64, 232)(43, 211, 71, 239)(44, 212, 72, 240)(47, 215, 75, 243)(48, 216, 77, 245)(49, 217, 55, 223)(50, 218, 80, 248)(52, 220, 82, 250)(54, 222, 85, 253)(57, 225, 89, 257)(58, 226, 92, 260)(60, 228, 94, 262)(62, 230, 97, 265)(65, 233, 99, 267)(66, 234, 101, 269)(67, 235, 73, 241)(69, 237, 104, 272)(70, 238, 102, 270)(74, 242, 108, 276)(76, 244, 110, 278)(78, 246, 113, 281)(79, 247, 115, 283)(81, 249, 117, 285)(83, 251, 120, 288)(84, 252, 121, 289)(86, 254, 123, 291)(87, 255, 124, 292)(88, 256, 126, 294)(90, 258, 128, 296)(91, 259, 129, 297)(93, 261, 131, 299)(95, 263, 134, 302)(96, 264, 132, 300)(98, 266, 136, 304)(100, 268, 138, 306)(103, 271, 105, 273)(106, 274, 143, 311)(107, 275, 127, 295)(109, 277, 146, 314)(111, 279, 140, 308)(112, 280, 148, 316)(114, 282, 150, 318)(116, 284, 151, 319)(118, 286, 153, 321)(119, 287, 152, 320)(122, 290, 155, 323)(125, 293, 158, 326)(130, 298, 141, 309)(133, 301, 154, 322)(135, 303, 163, 331)(137, 305, 162, 330)(139, 307, 165, 333)(142, 310, 149, 317)(144, 312, 160, 328)(145, 313, 157, 325)(147, 315, 168, 336)(156, 324, 167, 335)(159, 327, 166, 334)(161, 329, 164, 332)
	L = (1, 170)(2, 173)(3, 175)(4, 169)(5, 179)(6, 181)(7, 183)(8, 171)(9, 187)(10, 172)(11, 190)(12, 192)(13, 194)(14, 174)(15, 198)(16, 200)(17, 202)(18, 176)(19, 205)(20, 177)(21, 208)(22, 178)(23, 211)(24, 203)(25, 180)(26, 216)(27, 185)(28, 218)(29, 182)(30, 204)(31, 209)(32, 223)(33, 184)(34, 226)(35, 228)(36, 186)(37, 230)(38, 232)(39, 188)(40, 235)(41, 189)(42, 237)(43, 219)(44, 191)(45, 196)(46, 242)(47, 193)(48, 220)(49, 195)(50, 247)(51, 249)(52, 197)(53, 251)(54, 199)(55, 255)(56, 256)(57, 201)(58, 259)(59, 213)(60, 244)(61, 263)(62, 234)(63, 238)(64, 224)(65, 206)(66, 207)(67, 254)(68, 270)(69, 243)(70, 210)(71, 214)(72, 273)(73, 212)(74, 275)(75, 277)(76, 215)(77, 279)(78, 217)(79, 282)(80, 239)(81, 274)(82, 286)(83, 257)(84, 221)(85, 290)(86, 222)(87, 258)(88, 293)(89, 295)(90, 225)(91, 246)(92, 264)(93, 227)(94, 300)(95, 291)(96, 229)(97, 303)(98, 231)(99, 305)(100, 233)(101, 307)(102, 267)(103, 236)(104, 240)(105, 310)(106, 241)(107, 312)(108, 272)(109, 266)(110, 252)(111, 281)(112, 245)(113, 317)(114, 261)(115, 287)(116, 248)(117, 320)(118, 265)(119, 250)(120, 253)(121, 322)(122, 285)(123, 324)(124, 308)(125, 268)(126, 288)(127, 315)(128, 327)(129, 329)(130, 260)(131, 330)(132, 299)(133, 262)(134, 289)(135, 306)(136, 301)(137, 332)(138, 283)(139, 314)(140, 269)(141, 271)(142, 334)(143, 280)(144, 284)(145, 276)(146, 336)(147, 278)(148, 323)(149, 335)(150, 326)(151, 294)(152, 319)(153, 316)(154, 333)(155, 302)(156, 298)(157, 292)(158, 328)(159, 297)(160, 296)(161, 318)(162, 331)(163, 304)(164, 309)(165, 321)(166, 313)(167, 311)(168, 325)
	local type(s) :: { ( 4, 7, 4, 7 ) }
Outer automorphisms :: reflexible
Dual of E10.870
Transitivity :: ET+ VT+ AT
Graph:: simple
	v = 84 e = 168 f = 66
	degree seq :: [ 4^84 ]

E10.875 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 7})
Quotient :: dipole
Aut^+ = PSL(3,2) (small group id <168, 42>)
Aut   = PSL(3,2) : C2 (small group id <336, 208>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, (R * Y3)^2, (R * Y1)^2, Y2^4, (R * Y2 * Y3^-1)^2, Y2 * Y1 * Y2^-2 * Y1 * Y2^-2 * Y1 * Y2, (Y1 * Y2)^7, (Y3 * Y2^-1)^7, (Y1 * Y2^-1 * Y1 * Y2)^4, (Y2 * Y1 * Y2^-1 * Y1 * Y2 * Y1)^3 ]
Map::
	R = (1, 169, 2, 170)(3, 171, 7, 175)(4, 172, 9, 177)(5, 173, 10, 178)(6, 174, 12, 180)(8, 176, 15, 183)(11, 179, 20, 188)(13, 181, 23, 191)(14, 182, 25, 193)(16, 184, 28, 196)(17, 185, 30, 198)(18, 186, 31, 199)(19, 187, 33, 201)(21, 189, 34, 202)(22, 190, 36, 204)(24, 192, 29, 197)(26, 194, 41, 209)(27, 195, 42, 210)(32, 200, 35, 203)(37, 205, 55, 223)(38, 206, 57, 225)(39, 207, 58, 226)(40, 208, 60, 228)(43, 211, 65, 233)(44, 212, 67, 235)(45, 213, 68, 236)(46, 214, 70, 238)(47, 215, 71, 239)(48, 216, 73, 241)(49, 217, 74, 242)(50, 218, 76, 244)(51, 219, 77, 245)(52, 220, 79, 247)(53, 221, 80, 248)(54, 222, 82, 250)(56, 224, 59, 227)(61, 229, 90, 258)(62, 230, 92, 260)(63, 231, 93, 261)(64, 232, 95, 263)(66, 234, 69, 237)(72, 240, 75, 243)(78, 246, 81, 249)(83, 251, 117, 285)(84, 252, 118, 286)(85, 253, 120, 288)(86, 254, 121, 289)(87, 255, 107, 275)(88, 256, 123, 291)(89, 257, 125, 293)(91, 259, 94, 262)(96, 264, 132, 300)(97, 265, 134, 302)(98, 266, 112, 280)(99, 267, 136, 304)(100, 268, 137, 305)(101, 269, 139, 307)(102, 270, 140, 308)(103, 271, 138, 306)(104, 272, 141, 309)(105, 273, 142, 310)(106, 274, 143, 311)(108, 276, 145, 313)(109, 277, 129, 297)(110, 278, 128, 296)(111, 279, 148, 316)(113, 281, 150, 318)(114, 282, 151, 319)(115, 283, 152, 320)(116, 284, 119, 287)(122, 290, 124, 292)(126, 294, 157, 325)(127, 295, 158, 326)(130, 298, 153, 321)(131, 299, 161, 329)(133, 301, 135, 303)(144, 312, 146, 314)(147, 315, 149, 317)(154, 322, 167, 335)(155, 323, 168, 336)(156, 324, 159, 327)(160, 328, 162, 330)(163, 331, 165, 333)(164, 332, 166, 334)(337, 505, 339, 507, 344, 512, 340, 508)(338, 506, 341, 509, 347, 515, 342, 510)(343, 511, 349, 517, 360, 528, 350, 518)(345, 513, 352, 520, 365, 533, 353, 521)(346, 514, 354, 522, 368, 536, 355, 523)(348, 516, 357, 525, 371, 539, 358, 526)(351, 519, 362, 530, 356, 524, 363, 531)(359, 527, 373, 541, 392, 560, 374, 542)(361, 529, 375, 543, 395, 563, 376, 544)(364, 532, 379, 547, 402, 570, 380, 548)(366, 534, 381, 549, 405, 573, 382, 550)(367, 535, 383, 551, 408, 576, 384, 552)(369, 537, 385, 553, 411, 579, 386, 554)(370, 538, 387, 555, 414, 582, 388, 556)(372, 540, 389, 557, 417, 585, 390, 558)(377, 545, 397, 565, 427, 595, 398, 566)(378, 546, 399, 567, 430, 598, 400, 568)(391, 559, 418, 586, 452, 620, 419, 587)(393, 561, 420, 588, 455, 623, 421, 589)(394, 562, 422, 590, 458, 626, 423, 591)(396, 564, 424, 592, 460, 628, 425, 593)(401, 569, 432, 600, 469, 637, 433, 601)(403, 571, 434, 602, 471, 639, 435, 603)(404, 572, 436, 604, 474, 642, 437, 605)(406, 574, 438, 606, 439, 607, 407, 575)(409, 577, 440, 608, 476, 644, 441, 609)(410, 578, 442, 610, 480, 648, 443, 611)(412, 580, 444, 612, 482, 650, 445, 613)(413, 581, 446, 614, 483, 651, 447, 615)(415, 583, 448, 616, 485, 653, 449, 617)(416, 584, 450, 618, 453, 621, 451, 619)(426, 594, 461, 629, 492, 660, 462, 630)(428, 596, 463, 631, 495, 663, 464, 632)(429, 597, 465, 633, 496, 664, 466, 634)(431, 599, 467, 635, 498, 666, 468, 636)(454, 622, 481, 649, 502, 670, 489, 657)(456, 624, 490, 658, 500, 668, 473, 641)(457, 625, 472, 640, 479, 647, 486, 654)(459, 627, 491, 659, 493, 661, 477, 645)(470, 638, 488, 656, 497, 665, 499, 667)(475, 643, 494, 662, 503, 671, 484, 652)(478, 646, 501, 669, 504, 672, 487, 655)
	L = (1, 338)(2, 337)(3, 343)(4, 345)(5, 346)(6, 348)(7, 339)(8, 351)(9, 340)(10, 341)(11, 356)(12, 342)(13, 359)(14, 361)(15, 344)(16, 364)(17, 366)(18, 367)(19, 369)(20, 347)(21, 370)(22, 372)(23, 349)(24, 365)(25, 350)(26, 377)(27, 378)(28, 352)(29, 360)(30, 353)(31, 354)(32, 371)(33, 355)(34, 357)(35, 368)(36, 358)(37, 391)(38, 393)(39, 394)(40, 396)(41, 362)(42, 363)(43, 401)(44, 403)(45, 404)(46, 406)(47, 407)(48, 409)(49, 410)(50, 412)(51, 413)(52, 415)(53, 416)(54, 418)(55, 373)(56, 395)(57, 374)(58, 375)(59, 392)(60, 376)(61, 426)(62, 428)(63, 429)(64, 431)(65, 379)(66, 405)(67, 380)(68, 381)(69, 402)(70, 382)(71, 383)(72, 411)(73, 384)(74, 385)(75, 408)(76, 386)(77, 387)(78, 417)(79, 388)(80, 389)(81, 414)(82, 390)(83, 453)(84, 454)(85, 456)(86, 457)(87, 443)(88, 459)(89, 461)(90, 397)(91, 430)(92, 398)(93, 399)(94, 427)(95, 400)(96, 468)(97, 470)(98, 448)(99, 472)(100, 473)(101, 475)(102, 476)(103, 474)(104, 477)(105, 478)(106, 479)(107, 423)(108, 481)(109, 465)(110, 464)(111, 484)(112, 434)(113, 486)(114, 487)(115, 488)(116, 455)(117, 419)(118, 420)(119, 452)(120, 421)(121, 422)(122, 460)(123, 424)(124, 458)(125, 425)(126, 493)(127, 494)(128, 446)(129, 445)(130, 489)(131, 497)(132, 432)(133, 471)(134, 433)(135, 469)(136, 435)(137, 436)(138, 439)(139, 437)(140, 438)(141, 440)(142, 441)(143, 442)(144, 482)(145, 444)(146, 480)(147, 485)(148, 447)(149, 483)(150, 449)(151, 450)(152, 451)(153, 466)(154, 503)(155, 504)(156, 495)(157, 462)(158, 463)(159, 492)(160, 498)(161, 467)(162, 496)(163, 501)(164, 502)(165, 499)(166, 500)(167, 490)(168, 491)(169, 505)(170, 506)(171, 507)(172, 508)(173, 509)(174, 510)(175, 511)(176, 512)(177, 513)(178, 514)(179, 515)(180, 516)(181, 517)(182, 518)(183, 519)(184, 520)(185, 521)(186, 522)(187, 523)(188, 524)(189, 525)(190, 526)(191, 527)(192, 528)(193, 529)(194, 530)(195, 531)(196, 532)(197, 533)(198, 534)(199, 535)(200, 536)(201, 537)(202, 538)(203, 539)(204, 540)(205, 541)(206, 542)(207, 543)(208, 544)(209, 545)(210, 546)(211, 547)(212, 548)(213, 549)(214, 550)(215, 551)(216, 552)(217, 553)(218, 554)(219, 555)(220, 556)(221, 557)(222, 558)(223, 559)(224, 560)(225, 561)(226, 562)(227, 563)(228, 564)(229, 565)(230, 566)(231, 567)(232, 568)(233, 569)(234, 570)(235, 571)(236, 572)(237, 573)(238, 574)(239, 575)(240, 576)(241, 577)(242, 578)(243, 579)(244, 580)(245, 581)(246, 582)(247, 583)(248, 584)(249, 585)(250, 586)(251, 587)(252, 588)(253, 589)(254, 590)(255, 591)(256, 592)(257, 593)(258, 594)(259, 595)(260, 596)(261, 597)(262, 598)(263, 599)(264, 600)(265, 601)(266, 602)(267, 603)(268, 604)(269, 605)(270, 606)(271, 607)(272, 608)(273, 609)(274, 610)(275, 611)(276, 612)(277, 613)(278, 614)(279, 615)(280, 616)(281, 617)(282, 618)(283, 619)(284, 620)(285, 621)(286, 622)(287, 623)(288, 624)(289, 625)(290, 626)(291, 627)(292, 628)(293, 629)(294, 630)(295, 631)(296, 632)(297, 633)(298, 634)(299, 635)(300, 636)(301, 637)(302, 638)(303, 639)(304, 640)(305, 641)(306, 642)(307, 643)(308, 644)(309, 645)(310, 646)(311, 647)(312, 648)(313, 649)(314, 650)(315, 651)(316, 652)(317, 653)(318, 654)(319, 655)(320, 656)(321, 657)(322, 658)(323, 659)(324, 660)(325, 661)(326, 662)(327, 663)(328, 664)(329, 665)(330, 666)(331, 667)(332, 668)(333, 669)(334, 670)(335, 671)(336, 672)
	local type(s) :: { ( 2, 14, 2, 14 ), ( 2, 14, 2, 14, 2, 14, 2, 14 ) }
Outer automorphisms :: reflexible
Dual of E10.878
Graph:: bipartite
	v = 126 e = 336 f = 192
	degree seq :: [ 4^84, 8^42 ]

E10.876 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 7})
Quotient :: dipole
Aut^+ = PSL(3,2) (small group id <168, 42>)
Aut   = PSL(3,2) : C2 (small group id <336, 208>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y2^-1, R * Y2 * R * Y3, (R * Y1)^2, (Y2^-1 * Y1^-1)^2, Y1^4, (Y3^-1 * Y1^-1)^2, (Y2 * Y1^-1)^3, Y2^7, Y1^-2 * Y2^3 * Y1^-2 * Y2^2 * Y1^-1 * Y2^-2 * Y1^-1 * Y2^2 ]
Map::
	R = (1, 169, 2, 170, 6, 174, 4, 172)(3, 171, 9, 177, 21, 189, 11, 179)(5, 173, 13, 181, 18, 186, 7, 175)(8, 176, 19, 187, 32, 200, 15, 183)(10, 178, 23, 191, 44, 212, 25, 193)(12, 180, 16, 184, 33, 201, 27, 195)(14, 182, 29, 197, 52, 220, 28, 196)(17, 185, 35, 203, 61, 229, 37, 205)(20, 188, 39, 207, 66, 234, 38, 206)(22, 190, 42, 210, 70, 238, 41, 209)(24, 192, 46, 214, 76, 244, 47, 215)(26, 194, 48, 216, 78, 246, 50, 218)(30, 198, 54, 222, 86, 254, 53, 221)(31, 199, 55, 223, 87, 255, 57, 225)(34, 202, 59, 227, 92, 260, 58, 226)(36, 204, 63, 231, 98, 266, 64, 232)(40, 208, 68, 236, 103, 271, 67, 235)(43, 211, 72, 240, 108, 276, 71, 239)(45, 213, 74, 242, 110, 278, 73, 241)(49, 217, 80, 248, 117, 285, 81, 249)(51, 219, 82, 250, 119, 287, 84, 252)(56, 224, 89, 257, 127, 295, 90, 258)(60, 228, 94, 262, 132, 300, 93, 261)(62, 230, 96, 264, 134, 302, 95, 263)(65, 233, 100, 268, 138, 306, 101, 269)(69, 237, 104, 272, 142, 310, 106, 274)(75, 243, 112, 280, 151, 319, 111, 279)(77, 245, 85, 253, 123, 291, 113, 281)(79, 247, 116, 284, 155, 323, 115, 283)(83, 251, 121, 289, 160, 328, 122, 290)(88, 256, 126, 294, 163, 331, 125, 293)(91, 259, 129, 297, 164, 332, 130, 298)(97, 265, 136, 304, 148, 316, 135, 303)(99, 267, 102, 270, 140, 308, 137, 305)(105, 273, 144, 312, 159, 327, 145, 313)(107, 275, 146, 314, 156, 324, 118, 286)(109, 277, 147, 315, 165, 333, 149, 317)(114, 282, 153, 321, 141, 309, 124, 292)(120, 288, 158, 326, 162, 330, 157, 325)(128, 296, 131, 299, 152, 320, 161, 329)(133, 301, 166, 334, 143, 311, 167, 335)(139, 307, 150, 318, 154, 322, 168, 336)(337, 505, 339, 507, 346, 514, 360, 528, 366, 534, 350, 518, 341, 509)(338, 506, 343, 511, 353, 521, 372, 540, 376, 544, 356, 524, 344, 512)(340, 508, 348, 516, 362, 530, 385, 553, 379, 547, 358, 526, 345, 513)(342, 510, 351, 519, 367, 535, 392, 560, 396, 564, 370, 538, 352, 520)(347, 515, 355, 523, 374, 542, 401, 569, 411, 579, 381, 549, 359, 527)(349, 517, 364, 532, 387, 555, 419, 587, 415, 583, 384, 552, 363, 531)(354, 522, 369, 537, 394, 562, 427, 595, 433, 601, 398, 566, 371, 539)(357, 525, 377, 545, 405, 573, 441, 609, 424, 592, 391, 559, 368, 536)(361, 529, 378, 546, 407, 575, 443, 611, 450, 618, 413, 581, 382, 550)(365, 533, 389, 557, 421, 589, 460, 628, 435, 603, 399, 567, 373, 541)(375, 543, 403, 571, 438, 606, 477, 645, 464, 632, 425, 593, 393, 561)(380, 548, 409, 577, 445, 613, 484, 652, 479, 647, 440, 608, 406, 574)(383, 551, 410, 578, 447, 615, 486, 654, 457, 625, 420, 588, 390, 558)(386, 554, 395, 563, 429, 597, 467, 635, 489, 657, 454, 622, 416, 584)(388, 556, 397, 565, 431, 599, 469, 637, 495, 663, 456, 624, 418, 586)(400, 568, 432, 600, 471, 639, 485, 653, 448, 616, 437, 605, 404, 572)(402, 570, 423, 591, 461, 629, 498, 666, 496, 664, 475, 643, 436, 604)(408, 576, 417, 585, 452, 620, 458, 626, 494, 662, 480, 648, 442, 610)(412, 580, 449, 617, 488, 656, 468, 636, 500, 668, 483, 651, 446, 614)(414, 582, 451, 619, 490, 658, 487, 655, 501, 669, 465, 633, 428, 596)(422, 590, 455, 623, 493, 661, 499, 667, 463, 631, 497, 665, 459, 627)(426, 594, 462, 630, 481, 649, 503, 671, 472, 640, 466, 634, 430, 598)(434, 602, 473, 641, 482, 650, 444, 612, 478, 646, 502, 670, 470, 638)(439, 607, 474, 642, 504, 672, 491, 659, 453, 621, 492, 660, 476, 644)
	L = (1, 339)(2, 343)(3, 346)(4, 348)(5, 337)(6, 351)(7, 353)(8, 338)(9, 340)(10, 360)(11, 355)(12, 362)(13, 364)(14, 341)(15, 367)(16, 342)(17, 372)(18, 369)(19, 374)(20, 344)(21, 377)(22, 345)(23, 347)(24, 366)(25, 378)(26, 385)(27, 349)(28, 387)(29, 389)(30, 350)(31, 392)(32, 357)(33, 394)(34, 352)(35, 354)(36, 376)(37, 365)(38, 401)(39, 403)(40, 356)(41, 405)(42, 407)(43, 358)(44, 409)(45, 359)(46, 361)(47, 410)(48, 363)(49, 379)(50, 395)(51, 419)(52, 397)(53, 421)(54, 383)(55, 368)(56, 396)(57, 375)(58, 427)(59, 429)(60, 370)(61, 431)(62, 371)(63, 373)(64, 432)(65, 411)(66, 423)(67, 438)(68, 400)(69, 441)(70, 380)(71, 443)(72, 417)(73, 445)(74, 447)(75, 381)(76, 449)(77, 382)(78, 451)(79, 384)(80, 386)(81, 452)(82, 388)(83, 415)(84, 390)(85, 460)(86, 455)(87, 461)(88, 391)(89, 393)(90, 462)(91, 433)(92, 414)(93, 467)(94, 426)(95, 469)(96, 471)(97, 398)(98, 473)(99, 399)(100, 402)(101, 404)(102, 477)(103, 474)(104, 406)(105, 424)(106, 408)(107, 450)(108, 478)(109, 484)(110, 412)(111, 486)(112, 437)(113, 488)(114, 413)(115, 490)(116, 458)(117, 492)(118, 416)(119, 493)(120, 418)(121, 420)(122, 494)(123, 422)(124, 435)(125, 498)(126, 481)(127, 497)(128, 425)(129, 428)(130, 430)(131, 489)(132, 500)(133, 495)(134, 434)(135, 485)(136, 466)(137, 482)(138, 504)(139, 436)(140, 439)(141, 464)(142, 502)(143, 440)(144, 442)(145, 503)(146, 444)(147, 446)(148, 479)(149, 448)(150, 457)(151, 501)(152, 468)(153, 454)(154, 487)(155, 453)(156, 476)(157, 499)(158, 480)(159, 456)(160, 475)(161, 459)(162, 496)(163, 463)(164, 483)(165, 465)(166, 470)(167, 472)(168, 491)(169, 505)(170, 506)(171, 507)(172, 508)(173, 509)(174, 510)(175, 511)(176, 512)(177, 513)(178, 514)(179, 515)(180, 516)(181, 517)(182, 518)(183, 519)(184, 520)(185, 521)(186, 522)(187, 523)(188, 524)(189, 525)(190, 526)(191, 527)(192, 528)(193, 529)(194, 530)(195, 531)(196, 532)(197, 533)(198, 534)(199, 535)(200, 536)(201, 537)(202, 538)(203, 539)(204, 540)(205, 541)(206, 542)(207, 543)(208, 544)(209, 545)(210, 546)(211, 547)(212, 548)(213, 549)(214, 550)(215, 551)(216, 552)(217, 553)(218, 554)(219, 555)(220, 556)(221, 557)(222, 558)(223, 559)(224, 560)(225, 561)(226, 562)(227, 563)(228, 564)(229, 565)(230, 566)(231, 567)(232, 568)(233, 569)(234, 570)(235, 571)(236, 572)(237, 573)(238, 574)(239, 575)(240, 576)(241, 577)(242, 578)(243, 579)(244, 580)(245, 581)(246, 582)(247, 583)(248, 584)(249, 585)(250, 586)(251, 587)(252, 588)(253, 589)(254, 590)(255, 591)(256, 592)(257, 593)(258, 594)(259, 595)(260, 596)(261, 597)(262, 598)(263, 599)(264, 600)(265, 601)(266, 602)(267, 603)(268, 604)(269, 605)(270, 606)(271, 607)(272, 608)(273, 609)(274, 610)(275, 611)(276, 612)(277, 613)(278, 614)(279, 615)(280, 616)(281, 617)(282, 618)(283, 619)(284, 620)(285, 621)(286, 622)(287, 623)(288, 624)(289, 625)(290, 626)(291, 627)(292, 628)(293, 629)(294, 630)(295, 631)(296, 632)(297, 633)(298, 634)(299, 635)(300, 636)(301, 637)(302, 638)(303, 639)(304, 640)(305, 641)(306, 642)(307, 643)(308, 644)(309, 645)(310, 646)(311, 647)(312, 648)(313, 649)(314, 650)(315, 651)(316, 652)(317, 653)(318, 654)(319, 655)(320, 656)(321, 657)(322, 658)(323, 659)(324, 660)(325, 661)(326, 662)(327, 663)(328, 664)(329, 665)(330, 666)(331, 667)(332, 668)(333, 669)(334, 670)(335, 671)(336, 672)
	local type(s) :: { ( 2, 4, 2, 4, 2, 4, 2, 4 ), ( 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4 ) }
Outer automorphisms :: reflexible
Dual of E10.877
Graph:: bipartite
	v = 66 e = 336 f = 252
	degree seq :: [ 8^42, 14^24 ]

E10.877 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 7})
Quotient :: dipole
Aut^+ = PSL(3,2) (small group id <168, 42>)
Aut   = PSL(3,2) : C2 (small group id <336, 208>)
|r| :: 2
Presentation :: [ Y1, Y2^2, R^2, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y3^7, (Y3 * Y2)^4, (Y2 * Y3^2)^3, (Y3^-1 * Y1^-1)^7, (Y3^-1 * Y2 * Y3^3 * Y2 * Y3^-1)^2, (Y2 * Y3^2 * Y2 * Y3^-1)^3, (Y2 * Y3 * Y2 * Y3^-2)^3, (Y3 * Y2 * Y3^-1 * Y2)^4 ]
Map:: polytopal
	R = (1, 169)(2, 170)(3, 171)(4, 172)(5, 173)(6, 174)(7, 175)(8, 176)(9, 177)(10, 178)(11, 179)(12, 180)(13, 181)(14, 182)(15, 183)(16, 184)(17, 185)(18, 186)(19, 187)(20, 188)(21, 189)(22, 190)(23, 191)(24, 192)(25, 193)(26, 194)(27, 195)(28, 196)(29, 197)(30, 198)(31, 199)(32, 200)(33, 201)(34, 202)(35, 203)(36, 204)(37, 205)(38, 206)(39, 207)(40, 208)(41, 209)(42, 210)(43, 211)(44, 212)(45, 213)(46, 214)(47, 215)(48, 216)(49, 217)(50, 218)(51, 219)(52, 220)(53, 221)(54, 222)(55, 223)(56, 224)(57, 225)(58, 226)(59, 227)(60, 228)(61, 229)(62, 230)(63, 231)(64, 232)(65, 233)(66, 234)(67, 235)(68, 236)(69, 237)(70, 238)(71, 239)(72, 240)(73, 241)(74, 242)(75, 243)(76, 244)(77, 245)(78, 246)(79, 247)(80, 248)(81, 249)(82, 250)(83, 251)(84, 252)(85, 253)(86, 254)(87, 255)(88, 256)(89, 257)(90, 258)(91, 259)(92, 260)(93, 261)(94, 262)(95, 263)(96, 264)(97, 265)(98, 266)(99, 267)(100, 268)(101, 269)(102, 270)(103, 271)(104, 272)(105, 273)(106, 274)(107, 275)(108, 276)(109, 277)(110, 278)(111, 279)(112, 280)(113, 281)(114, 282)(115, 283)(116, 284)(117, 285)(118, 286)(119, 287)(120, 288)(121, 289)(122, 290)(123, 291)(124, 292)(125, 293)(126, 294)(127, 295)(128, 296)(129, 297)(130, 298)(131, 299)(132, 300)(133, 301)(134, 302)(135, 303)(136, 304)(137, 305)(138, 306)(139, 307)(140, 308)(141, 309)(142, 310)(143, 311)(144, 312)(145, 313)(146, 314)(147, 315)(148, 316)(149, 317)(150, 318)(151, 319)(152, 320)(153, 321)(154, 322)(155, 323)(156, 324)(157, 325)(158, 326)(159, 327)(160, 328)(161, 329)(162, 330)(163, 331)(164, 332)(165, 333)(166, 334)(167, 335)(168, 336)(337, 505, 338, 506)(339, 507, 343, 511)(340, 508, 345, 513)(341, 509, 347, 515)(342, 510, 349, 517)(344, 512, 353, 521)(346, 514, 357, 525)(348, 516, 361, 529)(350, 518, 365, 533)(351, 519, 364, 532)(352, 520, 368, 536)(354, 522, 372, 540)(355, 523, 373, 541)(356, 524, 359, 527)(358, 526, 378, 546)(360, 528, 380, 548)(362, 530, 383, 551)(363, 531, 384, 552)(366, 534, 388, 556)(367, 535, 375, 543)(369, 537, 392, 560)(370, 538, 391, 559)(371, 539, 394, 562)(374, 542, 400, 568)(376, 544, 403, 571)(377, 545, 398, 566)(379, 547, 386, 554)(381, 549, 409, 577)(382, 550, 411, 579)(385, 553, 416, 584)(387, 555, 419, 587)(389, 557, 423, 591)(390, 558, 424, 592)(393, 561, 427, 595)(395, 563, 430, 598)(396, 564, 429, 597)(397, 565, 431, 599)(399, 567, 433, 601)(401, 569, 436, 604)(402, 570, 437, 605)(404, 572, 432, 600)(405, 573, 440, 608)(406, 574, 438, 606)(407, 575, 441, 609)(408, 576, 442, 610)(410, 578, 445, 613)(412, 580, 448, 616)(413, 581, 447, 615)(414, 582, 449, 617)(415, 583, 451, 619)(417, 585, 454, 622)(418, 586, 455, 623)(420, 588, 450, 618)(421, 589, 458, 626)(422, 590, 456, 624)(425, 593, 462, 630)(426, 594, 463, 631)(428, 596, 467, 635)(434, 602, 472, 640)(435, 603, 473, 641)(439, 607, 470, 638)(443, 611, 480, 648)(444, 612, 468, 636)(446, 614, 484, 652)(452, 620, 488, 656)(453, 621, 477, 645)(457, 625, 486, 654)(459, 627, 476, 644)(460, 628, 491, 659)(461, 629, 479, 647)(464, 632, 492, 660)(465, 633, 495, 663)(466, 634, 494, 662)(469, 637, 497, 665)(471, 639, 487, 655)(474, 642, 500, 668)(475, 643, 501, 669)(478, 646, 496, 664)(481, 649, 502, 670)(482, 650, 503, 671)(483, 651, 493, 661)(485, 653, 504, 672)(489, 657, 499, 667)(490, 658, 498, 666)
	L = (1, 339)(2, 341)(3, 344)(4, 337)(5, 348)(6, 338)(7, 351)(8, 354)(9, 355)(10, 340)(11, 359)(12, 362)(13, 363)(14, 342)(15, 367)(16, 343)(17, 370)(18, 358)(19, 374)(20, 345)(21, 376)(22, 346)(23, 379)(24, 347)(25, 377)(26, 366)(27, 385)(28, 349)(29, 387)(30, 350)(31, 389)(32, 390)(33, 352)(34, 365)(35, 353)(36, 396)(37, 398)(38, 401)(39, 356)(40, 404)(41, 357)(42, 405)(43, 407)(44, 408)(45, 360)(46, 361)(47, 413)(48, 391)(49, 417)(50, 364)(51, 420)(52, 421)(53, 393)(54, 425)(55, 368)(56, 426)(57, 369)(58, 428)(59, 371)(60, 392)(61, 372)(62, 380)(63, 373)(64, 406)(65, 402)(66, 375)(67, 438)(68, 412)(69, 430)(70, 378)(71, 410)(72, 443)(73, 444)(74, 381)(75, 446)(76, 382)(77, 409)(78, 383)(79, 384)(80, 422)(81, 418)(82, 386)(83, 456)(84, 395)(85, 448)(86, 388)(87, 459)(88, 429)(89, 452)(90, 464)(91, 465)(92, 468)(93, 394)(94, 469)(95, 470)(96, 397)(97, 471)(98, 399)(99, 400)(100, 474)(101, 475)(102, 433)(103, 403)(104, 431)(105, 476)(106, 447)(107, 434)(108, 481)(109, 482)(110, 463)(111, 411)(112, 485)(113, 486)(114, 414)(115, 487)(116, 415)(117, 416)(118, 489)(119, 490)(120, 451)(121, 419)(122, 449)(123, 455)(124, 423)(125, 424)(126, 466)(127, 494)(128, 432)(129, 436)(130, 427)(131, 440)(132, 493)(133, 435)(134, 498)(135, 499)(136, 462)(137, 457)(138, 472)(139, 497)(140, 437)(141, 439)(142, 441)(143, 442)(144, 483)(145, 450)(146, 454)(147, 445)(148, 458)(149, 453)(150, 501)(151, 500)(152, 480)(153, 488)(154, 504)(155, 484)(156, 460)(157, 461)(158, 479)(159, 491)(160, 467)(161, 502)(162, 503)(163, 477)(164, 473)(165, 495)(166, 478)(167, 496)(168, 492)(169, 505)(170, 506)(171, 507)(172, 508)(173, 509)(174, 510)(175, 511)(176, 512)(177, 513)(178, 514)(179, 515)(180, 516)(181, 517)(182, 518)(183, 519)(184, 520)(185, 521)(186, 522)(187, 523)(188, 524)(189, 525)(190, 526)(191, 527)(192, 528)(193, 529)(194, 530)(195, 531)(196, 532)(197, 533)(198, 534)(199, 535)(200, 536)(201, 537)(202, 538)(203, 539)(204, 540)(205, 541)(206, 542)(207, 543)(208, 544)(209, 545)(210, 546)(211, 547)(212, 548)(213, 549)(214, 550)(215, 551)(216, 552)(217, 553)(218, 554)(219, 555)(220, 556)(221, 557)(222, 558)(223, 559)(224, 560)(225, 561)(226, 562)(227, 563)(228, 564)(229, 565)(230, 566)(231, 567)(232, 568)(233, 569)(234, 570)(235, 571)(236, 572)(237, 573)(238, 574)(239, 575)(240, 576)(241, 577)(242, 578)(243, 579)(244, 580)(245, 581)(246, 582)(247, 583)(248, 584)(249, 585)(250, 586)(251, 587)(252, 588)(253, 589)(254, 590)(255, 591)(256, 592)(257, 593)(258, 594)(259, 595)(260, 596)(261, 597)(262, 598)(263, 599)(264, 600)(265, 601)(266, 602)(267, 603)(268, 604)(269, 605)(270, 606)(271, 607)(272, 608)(273, 609)(274, 610)(275, 611)(276, 612)(277, 613)(278, 614)(279, 615)(280, 616)(281, 617)(282, 618)(283, 619)(284, 620)(285, 621)(286, 622)(287, 623)(288, 624)(289, 625)(290, 626)(291, 627)(292, 628)(293, 629)(294, 630)(295, 631)(296, 632)(297, 633)(298, 634)(299, 635)(300, 636)(301, 637)(302, 638)(303, 639)(304, 640)(305, 641)(306, 642)(307, 643)(308, 644)(309, 645)(310, 646)(311, 647)(312, 648)(313, 649)(314, 650)(315, 651)(316, 652)(317, 653)(318, 654)(319, 655)(320, 656)(321, 657)(322, 658)(323, 659)(324, 660)(325, 661)(326, 662)(327, 663)(328, 664)(329, 665)(330, 666)(331, 667)(332, 668)(333, 669)(334, 670)(335, 671)(336, 672)
	local type(s) :: { ( 8, 14 ), ( 8, 14, 8, 14 ) }
Outer automorphisms :: reflexible
Dual of E10.876
Graph:: simple bipartite
	v = 252 e = 336 f = 66
	degree seq :: [ 2^168, 4^84 ]

E10.878 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 7})
Quotient :: dipole
Aut^+ = PSL(3,2) (small group id <168, 42>)
Aut   = PSL(3,2) : C2 (small group id <336, 208>)
|r| :: 2
Presentation :: [ Y2, R^2, Y3^2, R * Y2 * R * Y2^-1, (R * Y1)^2, (R * Y3)^2, (Y3 * Y2^-1)^2, Y1^7, (Y3 * Y1^-1)^4, (Y1^2 * Y3)^3, (Y3 * Y1^3 * Y3 * Y1^-2)^2, (Y1 * Y3 * Y1^-2 * Y3)^3 ]
Map:: polytopal
	R = (1, 169, 2, 170, 5, 173, 11, 179, 22, 190, 10, 178, 4, 172)(3, 171, 7, 175, 15, 183, 30, 198, 36, 204, 18, 186, 8, 176)(6, 174, 13, 181, 26, 194, 48, 216, 52, 220, 29, 197, 14, 182)(9, 177, 19, 187, 37, 205, 62, 230, 66, 234, 39, 207, 20, 188)(12, 180, 24, 192, 35, 203, 60, 228, 76, 244, 47, 215, 25, 193)(16, 184, 32, 200, 55, 223, 87, 255, 90, 258, 57, 225, 33, 201)(17, 185, 34, 202, 58, 226, 91, 259, 78, 246, 49, 217, 27, 195)(21, 189, 40, 208, 67, 235, 86, 254, 54, 222, 31, 199, 41, 209)(23, 191, 43, 211, 51, 219, 81, 249, 106, 274, 73, 241, 44, 212)(28, 196, 50, 218, 79, 247, 114, 282, 93, 261, 59, 227, 45, 213)(38, 206, 64, 232, 56, 224, 88, 256, 125, 293, 100, 268, 65, 233)(42, 210, 69, 237, 75, 243, 109, 277, 98, 266, 63, 231, 70, 238)(46, 214, 74, 242, 107, 275, 144, 312, 116, 284, 80, 248, 71, 239)(53, 221, 83, 251, 89, 257, 127, 295, 147, 315, 110, 278, 84, 252)(61, 229, 95, 263, 123, 291, 156, 324, 130, 298, 92, 260, 96, 264)(68, 236, 102, 270, 99, 267, 137, 305, 164, 332, 141, 309, 103, 271)(72, 240, 105, 273, 142, 310, 166, 334, 145, 313, 108, 276, 104, 272)(77, 245, 111, 279, 113, 281, 149, 317, 167, 335, 143, 311, 112, 280)(82, 250, 118, 286, 97, 265, 135, 303, 138, 306, 115, 283, 119, 287)(85, 253, 122, 290, 117, 285, 152, 320, 151, 319, 126, 294, 120, 288)(94, 262, 132, 300, 131, 299, 162, 330, 163, 331, 136, 304, 133, 301)(101, 269, 139, 307, 146, 314, 168, 336, 157, 325, 124, 292, 140, 308)(121, 289, 154, 322, 165, 333, 153, 321, 148, 316, 155, 323, 134, 302)(128, 296, 159, 327, 129, 297, 161, 329, 150, 318, 158, 326, 160, 328)(337, 505)(338, 506)(339, 507)(340, 508)(341, 509)(342, 510)(343, 511)(344, 512)(345, 513)(346, 514)(347, 515)(348, 516)(349, 517)(350, 518)(351, 519)(352, 520)(353, 521)(354, 522)(355, 523)(356, 524)(357, 525)(358, 526)(359, 527)(360, 528)(361, 529)(362, 530)(363, 531)(364, 532)(365, 533)(366, 534)(367, 535)(368, 536)(369, 537)(370, 538)(371, 539)(372, 540)(373, 541)(374, 542)(375, 543)(376, 544)(377, 545)(378, 546)(379, 547)(380, 548)(381, 549)(382, 550)(383, 551)(384, 552)(385, 553)(386, 554)(387, 555)(388, 556)(389, 557)(390, 558)(391, 559)(392, 560)(393, 561)(394, 562)(395, 563)(396, 564)(397, 565)(398, 566)(399, 567)(400, 568)(401, 569)(402, 570)(403, 571)(404, 572)(405, 573)(406, 574)(407, 575)(408, 576)(409, 577)(410, 578)(411, 579)(412, 580)(413, 581)(414, 582)(415, 583)(416, 584)(417, 585)(418, 586)(419, 587)(420, 588)(421, 589)(422, 590)(423, 591)(424, 592)(425, 593)(426, 594)(427, 595)(428, 596)(429, 597)(430, 598)(431, 599)(432, 600)(433, 601)(434, 602)(435, 603)(436, 604)(437, 605)(438, 606)(439, 607)(440, 608)(441, 609)(442, 610)(443, 611)(444, 612)(445, 613)(446, 614)(447, 615)(448, 616)(449, 617)(450, 618)(451, 619)(452, 620)(453, 621)(454, 622)(455, 623)(456, 624)(457, 625)(458, 626)(459, 627)(460, 628)(461, 629)(462, 630)(463, 631)(464, 632)(465, 633)(466, 634)(467, 635)(468, 636)(469, 637)(470, 638)(471, 639)(472, 640)(473, 641)(474, 642)(475, 643)(476, 644)(477, 645)(478, 646)(479, 647)(480, 648)(481, 649)(482, 650)(483, 651)(484, 652)(485, 653)(486, 654)(487, 655)(488, 656)(489, 657)(490, 658)(491, 659)(492, 660)(493, 661)(494, 662)(495, 663)(496, 664)(497, 665)(498, 666)(499, 667)(500, 668)(501, 669)(502, 670)(503, 671)(504, 672)
	L = (1, 339)(2, 342)(3, 337)(4, 345)(5, 348)(6, 338)(7, 352)(8, 353)(9, 340)(10, 357)(11, 359)(12, 341)(13, 363)(14, 364)(15, 367)(16, 343)(17, 344)(18, 371)(19, 374)(20, 368)(21, 346)(22, 378)(23, 347)(24, 381)(25, 382)(26, 375)(27, 349)(28, 350)(29, 387)(30, 389)(31, 351)(32, 356)(33, 392)(34, 395)(35, 354)(36, 397)(37, 399)(38, 355)(39, 362)(40, 404)(41, 400)(42, 358)(43, 407)(44, 408)(45, 360)(46, 361)(47, 411)(48, 413)(49, 391)(50, 416)(51, 365)(52, 418)(53, 366)(54, 421)(55, 385)(56, 369)(57, 425)(58, 428)(59, 370)(60, 430)(61, 372)(62, 433)(63, 373)(64, 377)(65, 435)(66, 437)(67, 409)(68, 376)(69, 440)(70, 438)(71, 379)(72, 380)(73, 403)(74, 444)(75, 383)(76, 446)(77, 384)(78, 449)(79, 451)(80, 386)(81, 453)(82, 388)(83, 456)(84, 457)(85, 390)(86, 459)(87, 460)(88, 462)(89, 393)(90, 464)(91, 465)(92, 394)(93, 467)(94, 396)(95, 470)(96, 468)(97, 398)(98, 472)(99, 401)(100, 474)(101, 402)(102, 406)(103, 441)(104, 405)(105, 439)(106, 479)(107, 463)(108, 410)(109, 482)(110, 412)(111, 476)(112, 484)(113, 414)(114, 486)(115, 415)(116, 487)(117, 417)(118, 489)(119, 488)(120, 419)(121, 420)(122, 491)(123, 422)(124, 423)(125, 494)(126, 424)(127, 443)(128, 426)(129, 427)(130, 477)(131, 429)(132, 432)(133, 490)(134, 431)(135, 499)(136, 434)(137, 498)(138, 436)(139, 501)(140, 447)(141, 466)(142, 485)(143, 442)(144, 496)(145, 493)(146, 445)(147, 504)(148, 448)(149, 478)(150, 450)(151, 452)(152, 455)(153, 454)(154, 469)(155, 458)(156, 503)(157, 481)(158, 461)(159, 502)(160, 480)(161, 500)(162, 473)(163, 471)(164, 497)(165, 475)(166, 495)(167, 492)(168, 483)(169, 505)(170, 506)(171, 507)(172, 508)(173, 509)(174, 510)(175, 511)(176, 512)(177, 513)(178, 514)(179, 515)(180, 516)(181, 517)(182, 518)(183, 519)(184, 520)(185, 521)(186, 522)(187, 523)(188, 524)(189, 525)(190, 526)(191, 527)(192, 528)(193, 529)(194, 530)(195, 531)(196, 532)(197, 533)(198, 534)(199, 535)(200, 536)(201, 537)(202, 538)(203, 539)(204, 540)(205, 541)(206, 542)(207, 543)(208, 544)(209, 545)(210, 546)(211, 547)(212, 548)(213, 549)(214, 550)(215, 551)(216, 552)(217, 553)(218, 554)(219, 555)(220, 556)(221, 557)(222, 558)(223, 559)(224, 560)(225, 561)(226, 562)(227, 563)(228, 564)(229, 565)(230, 566)(231, 567)(232, 568)(233, 569)(234, 570)(235, 571)(236, 572)(237, 573)(238, 574)(239, 575)(240, 576)(241, 577)(242, 578)(243, 579)(244, 580)(245, 581)(246, 582)(247, 583)(248, 584)(249, 585)(250, 586)(251, 587)(252, 588)(253, 589)(254, 590)(255, 591)(256, 592)(257, 593)(258, 594)(259, 595)(260, 596)(261, 597)(262, 598)(263, 599)(264, 600)(265, 601)(266, 602)(267, 603)(268, 604)(269, 605)(270, 606)(271, 607)(272, 608)(273, 609)(274, 610)(275, 611)(276, 612)(277, 613)(278, 614)(279, 615)(280, 616)(281, 617)(282, 618)(283, 619)(284, 620)(285, 621)(286, 622)(287, 623)(288, 624)(289, 625)(290, 626)(291, 627)(292, 628)(293, 629)(294, 630)(295, 631)(296, 632)(297, 633)(298, 634)(299, 635)(300, 636)(301, 637)(302, 638)(303, 639)(304, 640)(305, 641)(306, 642)(307, 643)(308, 644)(309, 645)(310, 646)(311, 647)(312, 648)(313, 649)(314, 650)(315, 651)(316, 652)(317, 653)(318, 654)(319, 655)(320, 656)(321, 657)(322, 658)(323, 659)(324, 660)(325, 661)(326, 662)(327, 663)(328, 664)(329, 665)(330, 666)(331, 667)(332, 668)(333, 669)(334, 670)(335, 671)(336, 672)
	local type(s) :: { ( 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E10.875
Graph:: simple bipartite
	v = 192 e = 336 f = 126
	degree seq :: [ 2^168, 14^24 ]

E10.879 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 7})
Quotient :: dipole
Aut^+ = PSL(3,2) (small group id <168, 42>)
Aut   = PSL(3,2) : C2 (small group id <336, 208>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y2^7, (Y1 * Y2)^4, (Y3 * Y2^-1)^4, (Y1 * Y2^2)^3, (Y2^-1 * Y1 * Y2^3 * Y1 * Y2^-1)^2, (Y1 * Y2^2 * Y1 * Y2^-1)^3, (Y1 * Y2 * Y1 * Y2^-2)^3, (Y2 * Y1 * Y2^-1 * Y1)^4 ]
Map::
	R = (1, 169, 2, 170)(3, 171, 7, 175)(4, 172, 9, 177)(5, 173, 11, 179)(6, 174, 13, 181)(8, 176, 17, 185)(10, 178, 21, 189)(12, 180, 25, 193)(14, 182, 29, 197)(15, 183, 28, 196)(16, 184, 32, 200)(18, 186, 36, 204)(19, 187, 37, 205)(20, 188, 23, 191)(22, 190, 42, 210)(24, 192, 44, 212)(26, 194, 47, 215)(27, 195, 48, 216)(30, 198, 52, 220)(31, 199, 39, 207)(33, 201, 56, 224)(34, 202, 55, 223)(35, 203, 58, 226)(38, 206, 64, 232)(40, 208, 67, 235)(41, 209, 62, 230)(43, 211, 50, 218)(45, 213, 73, 241)(46, 214, 75, 243)(49, 217, 80, 248)(51, 219, 83, 251)(53, 221, 87, 255)(54, 222, 88, 256)(57, 225, 91, 259)(59, 227, 94, 262)(60, 228, 93, 261)(61, 229, 95, 263)(63, 231, 97, 265)(65, 233, 100, 268)(66, 234, 101, 269)(68, 236, 96, 264)(69, 237, 104, 272)(70, 238, 102, 270)(71, 239, 105, 273)(72, 240, 106, 274)(74, 242, 109, 277)(76, 244, 112, 280)(77, 245, 111, 279)(78, 246, 113, 281)(79, 247, 115, 283)(81, 249, 118, 286)(82, 250, 119, 287)(84, 252, 114, 282)(85, 253, 122, 290)(86, 254, 120, 288)(89, 257, 126, 294)(90, 258, 127, 295)(92, 260, 131, 299)(98, 266, 136, 304)(99, 267, 137, 305)(103, 271, 134, 302)(107, 275, 144, 312)(108, 276, 132, 300)(110, 278, 148, 316)(116, 284, 152, 320)(117, 285, 141, 309)(121, 289, 150, 318)(123, 291, 140, 308)(124, 292, 155, 323)(125, 293, 143, 311)(128, 296, 156, 324)(129, 297, 159, 327)(130, 298, 158, 326)(133, 301, 161, 329)(135, 303, 151, 319)(138, 306, 164, 332)(139, 307, 165, 333)(142, 310, 160, 328)(145, 313, 166, 334)(146, 314, 167, 335)(147, 315, 157, 325)(149, 317, 168, 336)(153, 321, 163, 331)(154, 322, 162, 330)(337, 505, 339, 507, 344, 512, 354, 522, 358, 526, 346, 514, 340, 508)(338, 506, 341, 509, 348, 516, 362, 530, 366, 534, 350, 518, 342, 510)(343, 511, 351, 519, 367, 535, 389, 557, 393, 561, 369, 537, 352, 520)(345, 513, 355, 523, 374, 542, 401, 569, 402, 570, 375, 543, 356, 524)(347, 515, 359, 527, 379, 547, 407, 575, 410, 578, 381, 549, 360, 528)(349, 517, 363, 531, 385, 553, 417, 585, 418, 586, 386, 554, 364, 532)(353, 521, 370, 538, 365, 533, 387, 555, 420, 588, 395, 563, 371, 539)(357, 525, 376, 544, 404, 572, 412, 580, 382, 550, 361, 529, 377, 545)(368, 536, 390, 558, 425, 593, 452, 620, 415, 583, 384, 552, 391, 559)(372, 540, 396, 564, 392, 560, 426, 594, 464, 632, 432, 600, 397, 565)(373, 541, 398, 566, 380, 548, 408, 576, 443, 611, 434, 602, 399, 567)(378, 546, 405, 573, 430, 598, 469, 637, 435, 603, 400, 568, 406, 574)(383, 551, 413, 581, 409, 577, 444, 612, 481, 649, 450, 618, 414, 582)(388, 556, 421, 589, 448, 616, 485, 653, 453, 621, 416, 584, 422, 590)(394, 562, 428, 596, 468, 636, 493, 661, 461, 629, 424, 592, 429, 597)(403, 571, 438, 606, 433, 601, 471, 639, 499, 667, 477, 645, 439, 607)(411, 579, 446, 614, 463, 631, 494, 662, 479, 647, 442, 610, 447, 615)(419, 587, 456, 624, 451, 619, 487, 655, 500, 668, 473, 641, 457, 625)(423, 591, 459, 627, 455, 623, 490, 658, 504, 672, 492, 660, 460, 628)(427, 595, 465, 633, 436, 604, 474, 642, 472, 640, 462, 630, 466, 634)(431, 599, 470, 638, 498, 666, 503, 671, 496, 664, 467, 635, 440, 608)(437, 605, 475, 643, 497, 665, 502, 670, 478, 646, 441, 609, 476, 644)(445, 613, 482, 650, 454, 622, 489, 657, 488, 656, 480, 648, 483, 651)(449, 617, 486, 654, 501, 669, 495, 663, 491, 659, 484, 652, 458, 626)
	L = (1, 338)(2, 337)(3, 343)(4, 345)(5, 347)(6, 349)(7, 339)(8, 353)(9, 340)(10, 357)(11, 341)(12, 361)(13, 342)(14, 365)(15, 364)(16, 368)(17, 344)(18, 372)(19, 373)(20, 359)(21, 346)(22, 378)(23, 356)(24, 380)(25, 348)(26, 383)(27, 384)(28, 351)(29, 350)(30, 388)(31, 375)(32, 352)(33, 392)(34, 391)(35, 394)(36, 354)(37, 355)(38, 400)(39, 367)(40, 403)(41, 398)(42, 358)(43, 386)(44, 360)(45, 409)(46, 411)(47, 362)(48, 363)(49, 416)(50, 379)(51, 419)(52, 366)(53, 423)(54, 424)(55, 370)(56, 369)(57, 427)(58, 371)(59, 430)(60, 429)(61, 431)(62, 377)(63, 433)(64, 374)(65, 436)(66, 437)(67, 376)(68, 432)(69, 440)(70, 438)(71, 441)(72, 442)(73, 381)(74, 445)(75, 382)(76, 448)(77, 447)(78, 449)(79, 451)(80, 385)(81, 454)(82, 455)(83, 387)(84, 450)(85, 458)(86, 456)(87, 389)(88, 390)(89, 462)(90, 463)(91, 393)(92, 467)(93, 396)(94, 395)(95, 397)(96, 404)(97, 399)(98, 472)(99, 473)(100, 401)(101, 402)(102, 406)(103, 470)(104, 405)(105, 407)(106, 408)(107, 480)(108, 468)(109, 410)(110, 484)(111, 413)(112, 412)(113, 414)(114, 420)(115, 415)(116, 488)(117, 477)(118, 417)(119, 418)(120, 422)(121, 486)(122, 421)(123, 476)(124, 491)(125, 479)(126, 425)(127, 426)(128, 492)(129, 495)(130, 494)(131, 428)(132, 444)(133, 497)(134, 439)(135, 487)(136, 434)(137, 435)(138, 500)(139, 501)(140, 459)(141, 453)(142, 496)(143, 461)(144, 443)(145, 502)(146, 503)(147, 493)(148, 446)(149, 504)(150, 457)(151, 471)(152, 452)(153, 499)(154, 498)(155, 460)(156, 464)(157, 483)(158, 466)(159, 465)(160, 478)(161, 469)(162, 490)(163, 489)(164, 474)(165, 475)(166, 481)(167, 482)(168, 485)(169, 505)(170, 506)(171, 507)(172, 508)(173, 509)(174, 510)(175, 511)(176, 512)(177, 513)(178, 514)(179, 515)(180, 516)(181, 517)(182, 518)(183, 519)(184, 520)(185, 521)(186, 522)(187, 523)(188, 524)(189, 525)(190, 526)(191, 527)(192, 528)(193, 529)(194, 530)(195, 531)(196, 532)(197, 533)(198, 534)(199, 535)(200, 536)(201, 537)(202, 538)(203, 539)(204, 540)(205, 541)(206, 542)(207, 543)(208, 544)(209, 545)(210, 546)(211, 547)(212, 548)(213, 549)(214, 550)(215, 551)(216, 552)(217, 553)(218, 554)(219, 555)(220, 556)(221, 557)(222, 558)(223, 559)(224, 560)(225, 561)(226, 562)(227, 563)(228, 564)(229, 565)(230, 566)(231, 567)(232, 568)(233, 569)(234, 570)(235, 571)(236, 572)(237, 573)(238, 574)(239, 575)(240, 576)(241, 577)(242, 578)(243, 579)(244, 580)(245, 581)(246, 582)(247, 583)(248, 584)(249, 585)(250, 586)(251, 587)(252, 588)(253, 589)(254, 590)(255, 591)(256, 592)(257, 593)(258, 594)(259, 595)(260, 596)(261, 597)(262, 598)(263, 599)(264, 600)(265, 601)(266, 602)(267, 603)(268, 604)(269, 605)(270, 606)(271, 607)(272, 608)(273, 609)(274, 610)(275, 611)(276, 612)(277, 613)(278, 614)(279, 615)(280, 616)(281, 617)(282, 618)(283, 619)(284, 620)(285, 621)(286, 622)(287, 623)(288, 624)(289, 625)(290, 626)(291, 627)(292, 628)(293, 629)(294, 630)(295, 631)(296, 632)(297, 633)(298, 634)(299, 635)(300, 636)(301, 637)(302, 638)(303, 639)(304, 640)(305, 641)(306, 642)(307, 643)(308, 644)(309, 645)(310, 646)(311, 647)(312, 648)(313, 649)(314, 650)(315, 651)(316, 652)(317, 653)(318, 654)(319, 655)(320, 656)(321, 657)(322, 658)(323, 659)(324, 660)(325, 661)(326, 662)(327, 663)(328, 664)(329, 665)(330, 666)(331, 667)(332, 668)(333, 669)(334, 670)(335, 671)(336, 672)
	local type(s) :: { ( 2, 8, 2, 8 ), ( 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8 ) }
Outer automorphisms :: reflexible
Dual of E10.880
Graph:: bipartite
	v = 108 e = 336 f = 210
	degree seq :: [ 4^84, 14^24 ]

E10.880 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 7})
Quotient :: dipole
Aut^+ = PSL(3,2) (small group id <168, 42>)
Aut   = PSL(3,2) : C2 (small group id <336, 208>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y3)^2, (R * Y1)^2, Y1^4, (Y3^-1 * Y1^-1)^2, (R * Y2 * Y3^-1)^2, (Y3^-1 * Y1)^3, Y3^7, (Y3 * Y2^-1)^7, Y1^-2 * Y3^3 * Y1^-2 * Y3^2 * Y1^-1 * Y3^-2 * Y1^-1 * Y3^2 ]
Map:: polytopal
	R = (1, 169, 2, 170, 6, 174, 4, 172)(3, 171, 9, 177, 21, 189, 11, 179)(5, 173, 13, 181, 18, 186, 7, 175)(8, 176, 19, 187, 32, 200, 15, 183)(10, 178, 23, 191, 44, 212, 25, 193)(12, 180, 16, 184, 33, 201, 27, 195)(14, 182, 29, 197, 52, 220, 28, 196)(17, 185, 35, 203, 61, 229, 37, 205)(20, 188, 39, 207, 66, 234, 38, 206)(22, 190, 42, 210, 70, 238, 41, 209)(24, 192, 46, 214, 76, 244, 47, 215)(26, 194, 48, 216, 78, 246, 50, 218)(30, 198, 54, 222, 86, 254, 53, 221)(31, 199, 55, 223, 87, 255, 57, 225)(34, 202, 59, 227, 92, 260, 58, 226)(36, 204, 63, 231, 98, 266, 64, 232)(40, 208, 68, 236, 103, 271, 67, 235)(43, 211, 72, 240, 108, 276, 71, 239)(45, 213, 74, 242, 110, 278, 73, 241)(49, 217, 80, 248, 117, 285, 81, 249)(51, 219, 82, 250, 119, 287, 84, 252)(56, 224, 89, 257, 127, 295, 90, 258)(60, 228, 94, 262, 132, 300, 93, 261)(62, 230, 96, 264, 134, 302, 95, 263)(65, 233, 100, 268, 138, 306, 101, 269)(69, 237, 104, 272, 142, 310, 106, 274)(75, 243, 112, 280, 151, 319, 111, 279)(77, 245, 85, 253, 123, 291, 113, 281)(79, 247, 116, 284, 155, 323, 115, 283)(83, 251, 121, 289, 160, 328, 122, 290)(88, 256, 126, 294, 163, 331, 125, 293)(91, 259, 129, 297, 164, 332, 130, 298)(97, 265, 136, 304, 148, 316, 135, 303)(99, 267, 102, 270, 140, 308, 137, 305)(105, 273, 144, 312, 159, 327, 145, 313)(107, 275, 146, 314, 156, 324, 118, 286)(109, 277, 147, 315, 165, 333, 149, 317)(114, 282, 153, 321, 141, 309, 124, 292)(120, 288, 158, 326, 162, 330, 157, 325)(128, 296, 131, 299, 152, 320, 161, 329)(133, 301, 166, 334, 143, 311, 167, 335)(139, 307, 150, 318, 154, 322, 168, 336)(337, 505)(338, 506)(339, 507)(340, 508)(341, 509)(342, 510)(343, 511)(344, 512)(345, 513)(346, 514)(347, 515)(348, 516)(349, 517)(350, 518)(351, 519)(352, 520)(353, 521)(354, 522)(355, 523)(356, 524)(357, 525)(358, 526)(359, 527)(360, 528)(361, 529)(362, 530)(363, 531)(364, 532)(365, 533)(366, 534)(367, 535)(368, 536)(369, 537)(370, 538)(371, 539)(372, 540)(373, 541)(374, 542)(375, 543)(376, 544)(377, 545)(378, 546)(379, 547)(380, 548)(381, 549)(382, 550)(383, 551)(384, 552)(385, 553)(386, 554)(387, 555)(388, 556)(389, 557)(390, 558)(391, 559)(392, 560)(393, 561)(394, 562)(395, 563)(396, 564)(397, 565)(398, 566)(399, 567)(400, 568)(401, 569)(402, 570)(403, 571)(404, 572)(405, 573)(406, 574)(407, 575)(408, 576)(409, 577)(410, 578)(411, 579)(412, 580)(413, 581)(414, 582)(415, 583)(416, 584)(417, 585)(418, 586)(419, 587)(420, 588)(421, 589)(422, 590)(423, 591)(424, 592)(425, 593)(426, 594)(427, 595)(428, 596)(429, 597)(430, 598)(431, 599)(432, 600)(433, 601)(434, 602)(435, 603)(436, 604)(437, 605)(438, 606)(439, 607)(440, 608)(441, 609)(442, 610)(443, 611)(444, 612)(445, 613)(446, 614)(447, 615)(448, 616)(449, 617)(450, 618)(451, 619)(452, 620)(453, 621)(454, 622)(455, 623)(456, 624)(457, 625)(458, 626)(459, 627)(460, 628)(461, 629)(462, 630)(463, 631)(464, 632)(465, 633)(466, 634)(467, 635)(468, 636)(469, 637)(470, 638)(471, 639)(472, 640)(473, 641)(474, 642)(475, 643)(476, 644)(477, 645)(478, 646)(479, 647)(480, 648)(481, 649)(482, 650)(483, 651)(484, 652)(485, 653)(486, 654)(487, 655)(488, 656)(489, 657)(490, 658)(491, 659)(492, 660)(493, 661)(494, 662)(495, 663)(496, 664)(497, 665)(498, 666)(499, 667)(500, 668)(501, 669)(502, 670)(503, 671)(504, 672)
	L = (1, 339)(2, 343)(3, 346)(4, 348)(5, 337)(6, 351)(7, 353)(8, 338)(9, 340)(10, 360)(11, 355)(12, 362)(13, 364)(14, 341)(15, 367)(16, 342)(17, 372)(18, 369)(19, 374)(20, 344)(21, 377)(22, 345)(23, 347)(24, 366)(25, 378)(26, 385)(27, 349)(28, 387)(29, 389)(30, 350)(31, 392)(32, 357)(33, 394)(34, 352)(35, 354)(36, 376)(37, 365)(38, 401)(39, 403)(40, 356)(41, 405)(42, 407)(43, 358)(44, 409)(45, 359)(46, 361)(47, 410)(48, 363)(49, 379)(50, 395)(51, 419)(52, 397)(53, 421)(54, 383)(55, 368)(56, 396)(57, 375)(58, 427)(59, 429)(60, 370)(61, 431)(62, 371)(63, 373)(64, 432)(65, 411)(66, 423)(67, 438)(68, 400)(69, 441)(70, 380)(71, 443)(72, 417)(73, 445)(74, 447)(75, 381)(76, 449)(77, 382)(78, 451)(79, 384)(80, 386)(81, 452)(82, 388)(83, 415)(84, 390)(85, 460)(86, 455)(87, 461)(88, 391)(89, 393)(90, 462)(91, 433)(92, 414)(93, 467)(94, 426)(95, 469)(96, 471)(97, 398)(98, 473)(99, 399)(100, 402)(101, 404)(102, 477)(103, 474)(104, 406)(105, 424)(106, 408)(107, 450)(108, 478)(109, 484)(110, 412)(111, 486)(112, 437)(113, 488)(114, 413)(115, 490)(116, 458)(117, 492)(118, 416)(119, 493)(120, 418)(121, 420)(122, 494)(123, 422)(124, 435)(125, 498)(126, 481)(127, 497)(128, 425)(129, 428)(130, 430)(131, 489)(132, 500)(133, 495)(134, 434)(135, 485)(136, 466)(137, 482)(138, 504)(139, 436)(140, 439)(141, 464)(142, 502)(143, 440)(144, 442)(145, 503)(146, 444)(147, 446)(148, 479)(149, 448)(150, 457)(151, 501)(152, 468)(153, 454)(154, 487)(155, 453)(156, 476)(157, 499)(158, 480)(159, 456)(160, 475)(161, 459)(162, 496)(163, 463)(164, 483)(165, 465)(166, 470)(167, 472)(168, 491)(169, 505)(170, 506)(171, 507)(172, 508)(173, 509)(174, 510)(175, 511)(176, 512)(177, 513)(178, 514)(179, 515)(180, 516)(181, 517)(182, 518)(183, 519)(184, 520)(185, 521)(186, 522)(187, 523)(188, 524)(189, 525)(190, 526)(191, 527)(192, 528)(193, 529)(194, 530)(195, 531)(196, 532)(197, 533)(198, 534)(199, 535)(200, 536)(201, 537)(202, 538)(203, 539)(204, 540)(205, 541)(206, 542)(207, 543)(208, 544)(209, 545)(210, 546)(211, 547)(212, 548)(213, 549)(214, 550)(215, 551)(216, 552)(217, 553)(218, 554)(219, 555)(220, 556)(221, 557)(222, 558)(223, 559)(224, 560)(225, 561)(226, 562)(227, 563)(228, 564)(229, 565)(230, 566)(231, 567)(232, 568)(233, 569)(234, 570)(235, 571)(236, 572)(237, 573)(238, 574)(239, 575)(240, 576)(241, 577)(242, 578)(243, 579)(244, 580)(245, 581)(246, 582)(247, 583)(248, 584)(249, 585)(250, 586)(251, 587)(252, 588)(253, 589)(254, 590)(255, 591)(256, 592)(257, 593)(258, 594)(259, 595)(260, 596)(261, 597)(262, 598)(263, 599)(264, 600)(265, 601)(266, 602)(267, 603)(268, 604)(269, 605)(270, 606)(271, 607)(272, 608)(273, 609)(274, 610)(275, 611)(276, 612)(277, 613)(278, 614)(279, 615)(280, 616)(281, 617)(282, 618)(283, 619)(284, 620)(285, 621)(286, 622)(287, 623)(288, 624)(289, 625)(290, 626)(291, 627)(292, 628)(293, 629)(294, 630)(295, 631)(296, 632)(297, 633)(298, 634)(299, 635)(300, 636)(301, 637)(302, 638)(303, 639)(304, 640)(305, 641)(306, 642)(307, 643)(308, 644)(309, 645)(310, 646)(311, 647)(312, 648)(313, 649)(314, 650)(315, 651)(316, 652)(317, 653)(318, 654)(319, 655)(320, 656)(321, 657)(322, 658)(323, 659)(324, 660)(325, 661)(326, 662)(327, 663)(328, 664)(329, 665)(330, 666)(331, 667)(332, 668)(333, 669)(334, 670)(335, 671)(336, 672)
	local type(s) :: { ( 4, 14 ), ( 4, 14, 4, 14, 4, 14, 4, 14 ) }
Outer automorphisms :: reflexible
Dual of E10.879
Graph:: simple bipartite
	v = 210 e = 336 f = 108
	degree seq :: [ 2^168, 8^42 ]

E10.881 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 3, 15})
Quotient :: regular
Aut^+ = GL(2,4) (small group id <180, 19>)
Aut   = A5 x S3 (small group id <360, 121>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, (T1 * T2)^3, T1^-3 * T2 * T1^5 * T2 * T1^-2, T1^-1 * T2 * T1^3 * T2 * T1^3 * T2 * T1^-1 * T2 * T1^2 * T2, (T1 * T2 * T1^-1 * T2 * T1)^3, T1^15 ]
Map:: polytopal non-degenerate
	R = (1, 2, 5, 11, 21, 37, 63, 99, 142, 98, 62, 36, 20, 10, 4)(3, 7, 15, 27, 47, 64, 101, 144, 158, 118, 90, 54, 31, 17, 8)(6, 13, 25, 43, 73, 100, 79, 119, 141, 97, 61, 78, 46, 26, 14)(9, 18, 32, 55, 66, 38, 65, 102, 131, 89, 128, 85, 51, 29, 16)(12, 23, 41, 69, 106, 143, 111, 140, 96, 59, 35, 60, 72, 42, 24)(19, 34, 58, 68, 40, 22, 39, 67, 103, 127, 167, 137, 94, 57, 33)(28, 49, 82, 122, 161, 133, 91, 132, 130, 87, 53, 88, 125, 83, 50)(30, 52, 86, 121, 81, 48, 80, 120, 116, 77, 117, 156, 114, 75, 44)(45, 76, 115, 154, 113, 74, 112, 153, 151, 110, 152, 160, 149, 108, 70)(56, 92, 134, 170, 165, 145, 105, 147, 163, 123, 84, 126, 166, 135, 93)(71, 109, 150, 171, 136, 107, 148, 174, 139, 95, 138, 173, 175, 146, 104)(124, 164, 176, 177, 155, 162, 179, 180, 169, 129, 168, 172, 178, 157, 159)
	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, 79)(50, 80)(51, 84)(52, 87)(54, 89)(55, 91)(57, 92)(58, 95)(60, 97)(62, 90)(63, 100)(66, 101)(67, 104)(68, 105)(69, 107)(72, 110)(73, 111)(75, 112)(76, 116)(78, 118)(81, 119)(82, 123)(83, 124)(85, 127)(86, 129)(88, 131)(93, 132)(94, 136)(96, 138)(98, 128)(99, 143)(102, 145)(103, 126)(106, 137)(108, 148)(109, 151)(113, 140)(114, 155)(115, 157)(117, 158)(120, 159)(121, 160)(122, 162)(125, 165)(130, 168)(133, 144)(134, 171)(135, 172)(139, 147)(141, 152)(142, 167)(146, 166)(149, 169)(150, 176)(153, 177)(154, 173)(156, 161)(163, 179)(164, 170)(174, 180)(175, 178)
	local type(s) :: { ( 3^15 ) }
Outer automorphisms :: reflexible
Dual of E10.882
Transitivity :: ET+ VT+ AT+ REG+
Graph::
	v = 12 e = 90 f = 60
	degree seq :: [ 15^12 ]

E10.882 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 3, 15})
Quotient :: regular
Aut^+ = GL(2,4) (small group id <180, 19>)
Aut   = A5 x S3 (small group id <360, 121>)
|r| :: 2
Presentation :: [ T2^2, F^2, T1^3, (F * T1)^2, (F * T2)^2, (T2 * T1^-1 * T2 * T1^-1 * T2 * T1)^3, (T2 * T1 * T2 * T1^-1)^5, T2 * T1^-1 * T2 * T1^-1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 2, 4)(3, 6, 7)(5, 9, 10)(8, 13, 14)(11, 17, 18)(12, 19, 20)(15, 23, 24)(16, 25, 26)(21, 31, 32)(22, 33, 34)(27, 39, 40)(28, 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, 136, 137)(100, 133, 138)(101, 139, 140)(102, 126, 141)(103, 142, 143)(104, 144, 130)(105, 145, 146)(106, 147, 148)(123, 149, 159)(124, 160, 161)(125, 162, 163)(127, 155, 164)(128, 165, 166)(129, 150, 167)(131, 168, 169)(132, 151, 170)(134, 153, 171)(135, 158, 172)(152, 176, 177)(154, 173, 178)(156, 174, 179)(157, 175, 180)
	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, 120)(86, 125)(87, 126)(88, 127)(89, 111)(90, 128)(91, 129)(92, 130)(93, 131)(94, 116)(95, 132)(96, 133)(97, 134)(98, 135)(107, 149)(108, 150)(109, 146)(110, 151)(112, 152)(113, 139)(114, 153)(115, 154)(117, 155)(118, 143)(119, 156)(121, 157)(122, 158)(136, 159)(137, 173)(138, 174)(140, 169)(141, 175)(142, 161)(144, 176)(145, 163)(147, 166)(148, 172)(160, 171)(162, 168)(164, 170)(165, 178)(167, 180)(177, 179)
	local type(s) :: { ( 15^3 ) }
Outer automorphisms :: reflexible
Dual of E10.881
Transitivity :: ET+ VT+ AT+ REG+
Graph:: simple
	v = 60 e = 90 f = 12
	degree seq :: [ 3^60 ]

E10.883 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 3, 15})
Quotient :: edge
Aut^+ = GL(2,4) (small group id <180, 19>)
Aut   = A5 x S3 (small group id <360, 121>)
|r| :: 2
Presentation :: [ T1^2, F^2, T2^3, (F * T1)^2, (F * T2)^2, (T1 * T2^-1 * T1 * T2^-1 * T1 * T2)^3, T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2 * T1, (T2 * T1 * T2^-1 * T1)^5 ]
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, 113, 127)(94, 128, 129)(95, 130, 118)(96, 131, 132)(97, 133, 109)(98, 134, 135)(99, 136, 137)(100, 120, 138)(101, 139, 140)(102, 111, 141)(103, 142, 143)(104, 144, 116)(105, 145, 146)(106, 147, 148)(107, 149, 150)(108, 151, 152)(110, 153, 154)(112, 155, 156)(114, 157, 158)(115, 159, 160)(117, 161, 162)(119, 163, 164)(121, 165, 166)(122, 167, 168)(169, 176, 179)(170, 173, 177)(171, 174, 180)(172, 175, 178)(181, 182)(183, 187)(184, 188)(185, 189)(186, 190)(191, 199)(192, 200)(193, 201)(194, 202)(195, 203)(196, 204)(197, 205)(198, 206)(207, 223)(208, 224)(209, 225)(210, 226)(211, 227)(212, 228)(213, 229)(214, 230)(215, 231)(216, 232)(217, 233)(218, 234)(219, 235)(220, 236)(221, 237)(222, 238)(239, 271)(240, 272)(241, 273)(242, 274)(243, 275)(244, 276)(245, 277)(246, 278)(247, 279)(248, 280)(249, 281)(250, 282)(251, 283)(252, 284)(253, 285)(254, 286)(255, 287)(256, 288)(257, 289)(258, 290)(259, 291)(260, 292)(261, 293)(262, 294)(263, 295)(264, 296)(265, 297)(266, 298)(267, 299)(268, 300)(269, 301)(270, 302)(303, 329)(304, 339)(305, 326)(306, 343)(307, 349)(308, 319)(309, 345)(310, 350)(311, 335)(312, 323)(313, 351)(314, 352)(315, 347)(316, 330)(317, 353)(318, 354)(320, 342)(321, 355)(322, 332)(324, 356)(325, 334)(327, 338)(328, 348)(331, 346)(333, 341)(336, 344)(337, 357)(340, 358)(359, 360)
	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) :: { ( 30, 30 ), ( 30^3 ) }
Outer automorphisms :: reflexible
Dual of E10.887
Transitivity :: ET+
Graph:: simple bipartite
	v = 150 e = 180 f = 12
	degree seq :: [ 2^90, 3^60 ]

E10.884 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 3, 15})
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, T1^3, (T2 * T1)^2, (T2^-1 * T1^-1)^2, (F * T2)^2, (F * T1)^2, T2^-2 * T1^-1 * T2^4 * T1^-1 * T2^-4, (T2^3 * T1^-1)^3, T2 * T1^-1 * T2^-2 * T1 * T2^2 * T1 * T2^-2 * T1 * T2^-2 * T1 ]
Map:: polytopal non-degenerate
	R = (1, 3, 9, 19, 37, 67, 116, 163, 152, 101, 86, 48, 26, 13, 5)(2, 6, 14, 27, 50, 89, 68, 118, 156, 107, 102, 58, 32, 16, 7)(4, 11, 22, 41, 74, 117, 90, 141, 137, 85, 108, 62, 34, 17, 8)(10, 21, 40, 71, 122, 126, 75, 127, 84, 47, 83, 112, 64, 35, 18)(12, 23, 43, 77, 115, 66, 38, 69, 100, 57, 99, 134, 80, 44, 24)(15, 29, 53, 93, 140, 88, 51, 91, 106, 61, 105, 149, 96, 54, 30)(20, 39, 70, 119, 164, 166, 123, 82, 46, 25, 45, 81, 114, 65, 36)(28, 52, 92, 142, 175, 162, 130, 98, 56, 31, 55, 97, 139, 87, 49)(33, 59, 103, 153, 125, 73, 42, 76, 128, 111, 159, 174, 145, 104, 60)(63, 109, 157, 171, 136, 121, 72, 124, 167, 161, 135, 168, 180, 158, 110)(78, 131, 169, 173, 150, 113, 160, 170, 133, 79, 132, 120, 165, 151, 129)(94, 146, 177, 179, 154, 138, 172, 178, 148, 95, 147, 143, 176, 155, 144)(181, 182, 184)(183, 188, 190)(185, 192, 186)(187, 195, 191)(189, 198, 200)(193, 205, 203)(194, 204, 208)(196, 211, 209)(197, 213, 201)(199, 216, 218)(202, 210, 222)(206, 227, 225)(207, 229, 231)(212, 237, 235)(214, 241, 239)(215, 243, 219)(217, 246, 248)(220, 240, 252)(221, 253, 255)(223, 226, 258)(224, 259, 232)(228, 265, 263)(230, 268, 270)(233, 236, 274)(234, 275, 256)(238, 281, 279)(242, 287, 285)(244, 291, 289)(245, 293, 249)(247, 269, 297)(250, 290, 300)(251, 301, 303)(254, 306, 296)(257, 309, 310)(260, 299, 312)(261, 264, 315)(262, 316, 311)(266, 282, 288)(267, 318, 271)(272, 313, 323)(273, 324, 325)(276, 322, 327)(277, 280, 330)(278, 331, 326)(283, 286, 334)(284, 335, 304)(292, 317, 339)(294, 341, 340)(295, 342, 298)(302, 346, 343)(305, 348, 307)(308, 328, 337)(314, 332, 344)(319, 353, 352)(320, 354, 321)(329, 336, 355)(333, 359, 360)(338, 357, 345)(347, 356, 350)(349, 351, 358)
	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) :: { ( 4^3 ), ( 4^15 ) }
Outer automorphisms :: reflexible
Dual of E10.888
Transitivity :: ET+
Graph:: simple bipartite
	v = 72 e = 180 f = 90
	degree seq :: [ 3^60, 15^12 ]

E10.885 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 3, 15})
Quotient :: edge
Aut^+ = GL(2,4) (small group id <180, 19>)
Aut   = A5 x S3 (small group id <360, 121>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, (T1 * T2)^3, T1^-4 * T2 * T1^5 * T2 * T1^-1, T1^-1 * T2 * T1^3 * T2 * T1^3 * T2 * T1^-1 * T2 * T1^2 * T2, (T1 * T2 * T1^-1 * T2 * T1)^3, T1^15 ]
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, 79)(50, 80)(51, 84)(52, 87)(54, 89)(55, 91)(57, 92)(58, 95)(60, 97)(62, 90)(63, 100)(66, 101)(67, 104)(68, 105)(69, 107)(72, 110)(73, 111)(75, 112)(76, 116)(78, 118)(81, 119)(82, 123)(83, 124)(85, 127)(86, 129)(88, 131)(93, 132)(94, 136)(96, 138)(98, 128)(99, 143)(102, 145)(103, 126)(106, 137)(108, 148)(109, 151)(113, 140)(114, 155)(115, 157)(117, 158)(120, 159)(121, 160)(122, 162)(125, 165)(130, 168)(133, 144)(134, 171)(135, 172)(139, 147)(141, 152)(142, 167)(146, 166)(149, 169)(150, 176)(153, 177)(154, 173)(156, 161)(163, 179)(164, 170)(174, 180)(175, 178)(181, 182, 185, 191, 201, 217, 243, 279, 322, 278, 242, 216, 200, 190, 184)(183, 187, 195, 207, 227, 244, 281, 324, 338, 298, 270, 234, 211, 197, 188)(186, 193, 205, 223, 253, 280, 259, 299, 321, 277, 241, 258, 226, 206, 194)(189, 198, 212, 235, 246, 218, 245, 282, 311, 269, 308, 265, 231, 209, 196)(192, 203, 221, 249, 286, 323, 291, 320, 276, 239, 215, 240, 252, 222, 204)(199, 214, 238, 248, 220, 202, 219, 247, 283, 307, 347, 317, 274, 237, 213)(208, 229, 262, 302, 341, 313, 271, 312, 310, 267, 233, 268, 305, 263, 230)(210, 232, 266, 301, 261, 228, 260, 300, 296, 257, 297, 336, 294, 255, 224)(225, 256, 295, 334, 293, 254, 292, 333, 331, 290, 332, 340, 329, 288, 250)(236, 272, 314, 350, 345, 325, 285, 327, 343, 303, 264, 306, 346, 315, 273)(251, 289, 330, 351, 316, 287, 328, 354, 319, 275, 318, 353, 355, 326, 284)(304, 344, 356, 357, 335, 342, 359, 360, 349, 309, 348, 352, 358, 337, 339)
	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, 6 ), ( 6^15 ) }
Outer automorphisms :: reflexible
Dual of E10.886
Transitivity :: ET+
Graph:: simple bipartite
	v = 102 e = 180 f = 60
	degree seq :: [ 2^90, 15^12 ]

E10.886 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 3, 15})
Quotient :: loop
Aut^+ = GL(2,4) (small group id <180, 19>)
Aut   = A5 x S3 (small group id <360, 121>)
|r| :: 2
Presentation :: [ T1^2, F^2, T2^3, (F * T1)^2, (F * T2)^2, (T1 * T2^-1 * T1 * T2^-1 * T1 * T2)^3, T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2 * T1, (T2 * T1 * T2^-1 * T1)^5 ]
Map::
	R = (1, 181, 3, 183, 4, 184)(2, 182, 5, 185, 6, 186)(7, 187, 11, 191, 12, 192)(8, 188, 13, 193, 14, 194)(9, 189, 15, 195, 16, 196)(10, 190, 17, 197, 18, 198)(19, 199, 27, 207, 28, 208)(20, 200, 29, 209, 30, 210)(21, 201, 31, 211, 32, 212)(22, 202, 33, 213, 34, 214)(23, 203, 35, 215, 36, 216)(24, 204, 37, 217, 38, 218)(25, 205, 39, 219, 40, 220)(26, 206, 41, 221, 42, 222)(43, 223, 59, 239, 60, 240)(44, 224, 61, 241, 62, 242)(45, 225, 63, 243, 64, 244)(46, 226, 65, 245, 66, 246)(47, 227, 67, 247, 68, 248)(48, 228, 69, 249, 70, 250)(49, 229, 71, 251, 72, 252)(50, 230, 73, 253, 74, 254)(51, 231, 75, 255, 76, 256)(52, 232, 77, 257, 78, 258)(53, 233, 79, 259, 80, 260)(54, 234, 81, 261, 82, 262)(55, 235, 83, 263, 84, 264)(56, 236, 85, 265, 86, 266)(57, 237, 87, 267, 88, 268)(58, 238, 89, 269, 90, 270)(91, 271, 123, 303, 124, 304)(92, 272, 125, 305, 126, 306)(93, 273, 113, 293, 127, 307)(94, 274, 128, 308, 129, 309)(95, 275, 130, 310, 118, 298)(96, 276, 131, 311, 132, 312)(97, 277, 133, 313, 109, 289)(98, 278, 134, 314, 135, 315)(99, 279, 136, 316, 137, 317)(100, 280, 120, 300, 138, 318)(101, 281, 139, 319, 140, 320)(102, 282, 111, 291, 141, 321)(103, 283, 142, 322, 143, 323)(104, 284, 144, 324, 116, 296)(105, 285, 145, 325, 146, 326)(106, 286, 147, 327, 148, 328)(107, 287, 149, 329, 150, 330)(108, 288, 151, 331, 152, 332)(110, 290, 153, 333, 154, 334)(112, 292, 155, 335, 156, 336)(114, 294, 157, 337, 158, 338)(115, 295, 159, 339, 160, 340)(117, 297, 161, 341, 162, 342)(119, 299, 163, 343, 164, 344)(121, 301, 165, 345, 166, 346)(122, 302, 167, 347, 168, 348)(169, 349, 176, 356, 179, 359)(170, 350, 173, 353, 177, 357)(171, 351, 174, 354, 180, 360)(172, 352, 175, 355, 178, 358)
	L = (1, 182)(2, 181)(3, 187)(4, 188)(5, 189)(6, 190)(7, 183)(8, 184)(9, 185)(10, 186)(11, 199)(12, 200)(13, 201)(14, 202)(15, 203)(16, 204)(17, 205)(18, 206)(19, 191)(20, 192)(21, 193)(22, 194)(23, 195)(24, 196)(25, 197)(26, 198)(27, 223)(28, 224)(29, 225)(30, 226)(31, 227)(32, 228)(33, 229)(34, 230)(35, 231)(36, 232)(37, 233)(38, 234)(39, 235)(40, 236)(41, 237)(42, 238)(43, 207)(44, 208)(45, 209)(46, 210)(47, 211)(48, 212)(49, 213)(50, 214)(51, 215)(52, 216)(53, 217)(54, 218)(55, 219)(56, 220)(57, 221)(58, 222)(59, 271)(60, 272)(61, 273)(62, 274)(63, 275)(64, 276)(65, 277)(66, 278)(67, 279)(68, 280)(69, 281)(70, 282)(71, 283)(72, 284)(73, 285)(74, 286)(75, 287)(76, 288)(77, 289)(78, 290)(79, 291)(80, 292)(81, 293)(82, 294)(83, 295)(84, 296)(85, 297)(86, 298)(87, 299)(88, 300)(89, 301)(90, 302)(91, 239)(92, 240)(93, 241)(94, 242)(95, 243)(96, 244)(97, 245)(98, 246)(99, 247)(100, 248)(101, 249)(102, 250)(103, 251)(104, 252)(105, 253)(106, 254)(107, 255)(108, 256)(109, 257)(110, 258)(111, 259)(112, 260)(113, 261)(114, 262)(115, 263)(116, 264)(117, 265)(118, 266)(119, 267)(120, 268)(121, 269)(122, 270)(123, 329)(124, 339)(125, 326)(126, 343)(127, 349)(128, 319)(129, 345)(130, 350)(131, 335)(132, 323)(133, 351)(134, 352)(135, 347)(136, 330)(137, 353)(138, 354)(139, 308)(140, 342)(141, 355)(142, 332)(143, 312)(144, 356)(145, 334)(146, 305)(147, 338)(148, 348)(149, 303)(150, 316)(151, 346)(152, 322)(153, 341)(154, 325)(155, 311)(156, 344)(157, 357)(158, 327)(159, 304)(160, 358)(161, 333)(162, 320)(163, 306)(164, 336)(165, 309)(166, 331)(167, 315)(168, 328)(169, 307)(170, 310)(171, 313)(172, 314)(173, 317)(174, 318)(175, 321)(176, 324)(177, 337)(178, 340)(179, 360)(180, 359)
	local type(s) :: { ( 2, 15, 2, 15, 2, 15 ) }
Outer automorphisms :: reflexible
Dual of E10.885
Transitivity :: ET+ VT+ AT
Graph::
	v = 60 e = 180 f = 102
	degree seq :: [ 6^60 ]

E10.887 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 3, 15})
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, T1^3, (T2 * T1)^2, (T2^-1 * T1^-1)^2, (F * T2)^2, (F * T1)^2, T2^-2 * T1^-1 * T2^4 * T1^-1 * T2^-4, (T2^3 * T1^-1)^3, T2 * T1^-1 * T2^-2 * T1 * T2^2 * T1 * T2^-2 * T1 * T2^-2 * T1 ]
Map::
	R = (1, 181, 3, 183, 9, 189, 19, 199, 37, 217, 67, 247, 116, 296, 163, 343, 152, 332, 101, 281, 86, 266, 48, 228, 26, 206, 13, 193, 5, 185)(2, 182, 6, 186, 14, 194, 27, 207, 50, 230, 89, 269, 68, 248, 118, 298, 156, 336, 107, 287, 102, 282, 58, 238, 32, 212, 16, 196, 7, 187)(4, 184, 11, 191, 22, 202, 41, 221, 74, 254, 117, 297, 90, 270, 141, 321, 137, 317, 85, 265, 108, 288, 62, 242, 34, 214, 17, 197, 8, 188)(10, 190, 21, 201, 40, 220, 71, 251, 122, 302, 126, 306, 75, 255, 127, 307, 84, 264, 47, 227, 83, 263, 112, 292, 64, 244, 35, 215, 18, 198)(12, 192, 23, 203, 43, 223, 77, 257, 115, 295, 66, 246, 38, 218, 69, 249, 100, 280, 57, 237, 99, 279, 134, 314, 80, 260, 44, 224, 24, 204)(15, 195, 29, 209, 53, 233, 93, 273, 140, 320, 88, 268, 51, 231, 91, 271, 106, 286, 61, 241, 105, 285, 149, 329, 96, 276, 54, 234, 30, 210)(20, 200, 39, 219, 70, 250, 119, 299, 164, 344, 166, 346, 123, 303, 82, 262, 46, 226, 25, 205, 45, 225, 81, 261, 114, 294, 65, 245, 36, 216)(28, 208, 52, 232, 92, 272, 142, 322, 175, 355, 162, 342, 130, 310, 98, 278, 56, 236, 31, 211, 55, 235, 97, 277, 139, 319, 87, 267, 49, 229)(33, 213, 59, 239, 103, 283, 153, 333, 125, 305, 73, 253, 42, 222, 76, 256, 128, 308, 111, 291, 159, 339, 174, 354, 145, 325, 104, 284, 60, 240)(63, 243, 109, 289, 157, 337, 171, 351, 136, 316, 121, 301, 72, 252, 124, 304, 167, 347, 161, 341, 135, 315, 168, 348, 180, 360, 158, 338, 110, 290)(78, 258, 131, 311, 169, 349, 173, 353, 150, 330, 113, 293, 160, 340, 170, 350, 133, 313, 79, 259, 132, 312, 120, 300, 165, 345, 151, 331, 129, 309)(94, 274, 146, 326, 177, 357, 179, 359, 154, 334, 138, 318, 172, 352, 178, 358, 148, 328, 95, 275, 147, 327, 143, 323, 176, 356, 155, 335, 144, 324)
	L = (1, 182)(2, 184)(3, 188)(4, 181)(5, 192)(6, 185)(7, 195)(8, 190)(9, 198)(10, 183)(11, 187)(12, 186)(13, 205)(14, 204)(15, 191)(16, 211)(17, 213)(18, 200)(19, 216)(20, 189)(21, 197)(22, 210)(23, 193)(24, 208)(25, 203)(26, 227)(27, 229)(28, 194)(29, 196)(30, 222)(31, 209)(32, 237)(33, 201)(34, 241)(35, 243)(36, 218)(37, 246)(38, 199)(39, 215)(40, 240)(41, 253)(42, 202)(43, 226)(44, 259)(45, 206)(46, 258)(47, 225)(48, 265)(49, 231)(50, 268)(51, 207)(52, 224)(53, 236)(54, 275)(55, 212)(56, 274)(57, 235)(58, 281)(59, 214)(60, 252)(61, 239)(62, 287)(63, 219)(64, 291)(65, 293)(66, 248)(67, 269)(68, 217)(69, 245)(70, 290)(71, 301)(72, 220)(73, 255)(74, 306)(75, 221)(76, 234)(77, 309)(78, 223)(79, 232)(80, 299)(81, 264)(82, 316)(83, 228)(84, 315)(85, 263)(86, 282)(87, 318)(88, 270)(89, 297)(90, 230)(91, 267)(92, 313)(93, 324)(94, 233)(95, 256)(96, 322)(97, 280)(98, 331)(99, 238)(100, 330)(101, 279)(102, 288)(103, 286)(104, 335)(105, 242)(106, 334)(107, 285)(108, 266)(109, 244)(110, 300)(111, 289)(112, 317)(113, 249)(114, 341)(115, 342)(116, 254)(117, 247)(118, 295)(119, 312)(120, 250)(121, 303)(122, 346)(123, 251)(124, 284)(125, 348)(126, 296)(127, 305)(128, 328)(129, 310)(130, 257)(131, 262)(132, 260)(133, 323)(134, 332)(135, 261)(136, 311)(137, 339)(138, 271)(139, 353)(140, 354)(141, 320)(142, 327)(143, 272)(144, 325)(145, 273)(146, 278)(147, 276)(148, 337)(149, 336)(150, 277)(151, 326)(152, 344)(153, 359)(154, 283)(155, 304)(156, 355)(157, 308)(158, 357)(159, 292)(160, 294)(161, 340)(162, 298)(163, 302)(164, 314)(165, 338)(166, 343)(167, 356)(168, 307)(169, 351)(170, 347)(171, 358)(172, 319)(173, 352)(174, 321)(175, 329)(176, 350)(177, 345)(178, 349)(179, 360)(180, 333)
	local type(s) :: { ( 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3 ) }
Outer automorphisms :: reflexible
Dual of E10.883
Transitivity :: ET+ VT+ AT
Graph::
	v = 12 e = 180 f = 150
	degree seq :: [ 30^12 ]

E10.888 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 3, 15})
Quotient :: loop
Aut^+ = GL(2,4) (small group id <180, 19>)
Aut   = A5 x S3 (small group id <360, 121>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, (T1 * T2)^3, T1^-4 * T2 * T1^5 * T2 * T1^-1, T1^-1 * T2 * T1^3 * T2 * T1^3 * T2 * T1^-1 * T2 * T1^2 * T2, (T1 * T2 * T1^-1 * T2 * T1)^3, T1^15 ]
Map:: polytopal non-degenerate
	R = (1, 181, 3, 183)(2, 182, 6, 186)(4, 184, 9, 189)(5, 185, 12, 192)(7, 187, 16, 196)(8, 188, 13, 193)(10, 190, 19, 199)(11, 191, 22, 202)(14, 194, 23, 203)(15, 195, 28, 208)(17, 197, 30, 210)(18, 198, 33, 213)(20, 200, 35, 215)(21, 201, 38, 218)(24, 204, 39, 219)(25, 205, 44, 224)(26, 206, 45, 225)(27, 207, 48, 228)(29, 209, 49, 229)(31, 211, 53, 233)(32, 212, 56, 236)(34, 214, 59, 239)(36, 216, 61, 241)(37, 217, 64, 244)(40, 220, 65, 245)(41, 221, 70, 250)(42, 222, 71, 251)(43, 223, 74, 254)(46, 226, 77, 257)(47, 227, 79, 259)(50, 230, 80, 260)(51, 231, 84, 264)(52, 232, 87, 267)(54, 234, 89, 269)(55, 235, 91, 271)(57, 237, 92, 272)(58, 238, 95, 275)(60, 240, 97, 277)(62, 242, 90, 270)(63, 243, 100, 280)(66, 246, 101, 281)(67, 247, 104, 284)(68, 248, 105, 285)(69, 249, 107, 287)(72, 252, 110, 290)(73, 253, 111, 291)(75, 255, 112, 292)(76, 256, 116, 296)(78, 258, 118, 298)(81, 261, 119, 299)(82, 262, 123, 303)(83, 263, 124, 304)(85, 265, 127, 307)(86, 266, 129, 309)(88, 268, 131, 311)(93, 273, 132, 312)(94, 274, 136, 316)(96, 276, 138, 318)(98, 278, 128, 308)(99, 279, 143, 323)(102, 282, 145, 325)(103, 283, 126, 306)(106, 286, 137, 317)(108, 288, 148, 328)(109, 289, 151, 331)(113, 293, 140, 320)(114, 294, 155, 335)(115, 295, 157, 337)(117, 297, 158, 338)(120, 300, 159, 339)(121, 301, 160, 340)(122, 302, 162, 342)(125, 305, 165, 345)(130, 310, 168, 348)(133, 313, 144, 324)(134, 314, 171, 351)(135, 315, 172, 352)(139, 319, 147, 327)(141, 321, 152, 332)(142, 322, 167, 347)(146, 326, 166, 346)(149, 329, 169, 349)(150, 330, 176, 356)(153, 333, 177, 357)(154, 334, 173, 353)(156, 336, 161, 341)(163, 343, 179, 359)(164, 344, 170, 350)(174, 354, 180, 360)(175, 355, 178, 358)
	L = (1, 182)(2, 185)(3, 187)(4, 181)(5, 191)(6, 193)(7, 195)(8, 183)(9, 198)(10, 184)(11, 201)(12, 203)(13, 205)(14, 186)(15, 207)(16, 189)(17, 188)(18, 212)(19, 214)(20, 190)(21, 217)(22, 219)(23, 221)(24, 192)(25, 223)(26, 194)(27, 227)(28, 229)(29, 196)(30, 232)(31, 197)(32, 235)(33, 199)(34, 238)(35, 240)(36, 200)(37, 243)(38, 245)(39, 247)(40, 202)(41, 249)(42, 204)(43, 253)(44, 210)(45, 256)(46, 206)(47, 244)(48, 260)(49, 262)(50, 208)(51, 209)(52, 266)(53, 268)(54, 211)(55, 246)(56, 272)(57, 213)(58, 248)(59, 215)(60, 252)(61, 258)(62, 216)(63, 279)(64, 281)(65, 282)(66, 218)(67, 283)(68, 220)(69, 286)(70, 225)(71, 289)(72, 222)(73, 280)(74, 292)(75, 224)(76, 295)(77, 297)(78, 226)(79, 299)(80, 300)(81, 228)(82, 302)(83, 230)(84, 306)(85, 231)(86, 301)(87, 233)(88, 305)(89, 308)(90, 234)(91, 312)(92, 314)(93, 236)(94, 237)(95, 318)(96, 239)(97, 241)(98, 242)(99, 322)(100, 259)(101, 324)(102, 311)(103, 307)(104, 251)(105, 327)(106, 323)(107, 328)(108, 250)(109, 330)(110, 332)(111, 320)(112, 333)(113, 254)(114, 255)(115, 334)(116, 257)(117, 336)(118, 270)(119, 321)(120, 296)(121, 261)(122, 341)(123, 264)(124, 344)(125, 263)(126, 346)(127, 347)(128, 265)(129, 348)(130, 267)(131, 269)(132, 310)(133, 271)(134, 350)(135, 273)(136, 287)(137, 274)(138, 353)(139, 275)(140, 276)(141, 277)(142, 278)(143, 291)(144, 338)(145, 285)(146, 284)(147, 343)(148, 354)(149, 288)(150, 351)(151, 290)(152, 340)(153, 331)(154, 293)(155, 342)(156, 294)(157, 339)(158, 298)(159, 304)(160, 329)(161, 313)(162, 359)(163, 303)(164, 356)(165, 325)(166, 315)(167, 317)(168, 352)(169, 309)(170, 345)(171, 316)(172, 358)(173, 355)(174, 319)(175, 326)(176, 357)(177, 335)(178, 337)(179, 360)(180, 349)
	local type(s) :: { ( 3, 15, 3, 15 ) }
Outer automorphisms :: reflexible
Dual of E10.884
Transitivity :: ET+ VT+ AT
Graph:: simple
	v = 90 e = 180 f = 72
	degree seq :: [ 4^90 ]

E10.889 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 15})
Quotient :: dipole
Aut^+ = GL(2,4) (small group id <180, 19>)
Aut   = A5 x S3 (small group id <360, 121>)
|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^-1 * Y1 * Y2 * Y1 * Y2^-1)^3, 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 * Y1 * Y2^-1 * Y1)^5, (Y3 * Y2^-1)^15 ]
Map::
	R = (1, 181, 2, 182)(3, 183, 7, 187)(4, 184, 8, 188)(5, 185, 9, 189)(6, 186, 10, 190)(11, 191, 19, 199)(12, 192, 20, 200)(13, 193, 21, 201)(14, 194, 22, 202)(15, 195, 23, 203)(16, 196, 24, 204)(17, 197, 25, 205)(18, 198, 26, 206)(27, 207, 43, 223)(28, 208, 44, 224)(29, 209, 45, 225)(30, 210, 46, 226)(31, 211, 47, 227)(32, 212, 48, 228)(33, 213, 49, 229)(34, 214, 50, 230)(35, 215, 51, 231)(36, 216, 52, 232)(37, 217, 53, 233)(38, 218, 54, 234)(39, 219, 55, 235)(40, 220, 56, 236)(41, 221, 57, 237)(42, 222, 58, 238)(59, 239, 91, 271)(60, 240, 92, 272)(61, 241, 93, 273)(62, 242, 94, 274)(63, 243, 95, 275)(64, 244, 96, 276)(65, 245, 97, 277)(66, 246, 98, 278)(67, 247, 99, 279)(68, 248, 100, 280)(69, 249, 101, 281)(70, 250, 102, 282)(71, 251, 103, 283)(72, 252, 104, 284)(73, 253, 105, 285)(74, 254, 106, 286)(75, 255, 107, 287)(76, 256, 108, 288)(77, 257, 109, 289)(78, 258, 110, 290)(79, 259, 111, 291)(80, 260, 112, 292)(81, 261, 113, 293)(82, 262, 114, 294)(83, 263, 115, 295)(84, 264, 116, 296)(85, 265, 117, 297)(86, 266, 118, 298)(87, 267, 119, 299)(88, 268, 120, 300)(89, 269, 121, 301)(90, 270, 122, 302)(123, 303, 149, 329)(124, 304, 159, 339)(125, 305, 146, 326)(126, 306, 163, 343)(127, 307, 169, 349)(128, 308, 139, 319)(129, 309, 165, 345)(130, 310, 170, 350)(131, 311, 155, 335)(132, 312, 143, 323)(133, 313, 171, 351)(134, 314, 172, 352)(135, 315, 167, 347)(136, 316, 150, 330)(137, 317, 173, 353)(138, 318, 174, 354)(140, 320, 162, 342)(141, 321, 175, 355)(142, 322, 152, 332)(144, 324, 176, 356)(145, 325, 154, 334)(147, 327, 158, 338)(148, 328, 168, 348)(151, 331, 166, 346)(153, 333, 161, 341)(156, 336, 164, 344)(157, 337, 177, 357)(160, 340, 178, 358)(179, 359, 180, 360)(361, 541, 363, 543, 364, 544)(362, 542, 365, 545, 366, 546)(367, 547, 371, 551, 372, 552)(368, 548, 373, 553, 374, 554)(369, 549, 375, 555, 376, 556)(370, 550, 377, 557, 378, 558)(379, 559, 387, 567, 388, 568)(380, 560, 389, 569, 390, 570)(381, 561, 391, 571, 392, 572)(382, 562, 393, 573, 394, 574)(383, 563, 395, 575, 396, 576)(384, 564, 397, 577, 398, 578)(385, 565, 399, 579, 400, 580)(386, 566, 401, 581, 402, 582)(403, 583, 419, 599, 420, 600)(404, 584, 421, 601, 422, 602)(405, 585, 423, 603, 424, 604)(406, 586, 425, 605, 426, 606)(407, 587, 427, 607, 428, 608)(408, 588, 429, 609, 430, 610)(409, 589, 431, 611, 432, 612)(410, 590, 433, 613, 434, 614)(411, 591, 435, 615, 436, 616)(412, 592, 437, 617, 438, 618)(413, 593, 439, 619, 440, 620)(414, 594, 441, 621, 442, 622)(415, 595, 443, 623, 444, 624)(416, 596, 445, 625, 446, 626)(417, 597, 447, 627, 448, 628)(418, 598, 449, 629, 450, 630)(451, 631, 483, 663, 484, 664)(452, 632, 485, 665, 486, 666)(453, 633, 473, 653, 487, 667)(454, 634, 488, 668, 489, 669)(455, 635, 490, 670, 478, 658)(456, 636, 491, 671, 492, 672)(457, 637, 493, 673, 469, 649)(458, 638, 494, 674, 495, 675)(459, 639, 496, 676, 497, 677)(460, 640, 480, 660, 498, 678)(461, 641, 499, 679, 500, 680)(462, 642, 471, 651, 501, 681)(463, 643, 502, 682, 503, 683)(464, 644, 504, 684, 476, 656)(465, 645, 505, 685, 506, 686)(466, 646, 507, 687, 508, 688)(467, 647, 509, 689, 510, 690)(468, 648, 511, 691, 512, 692)(470, 650, 513, 693, 514, 694)(472, 652, 515, 695, 516, 696)(474, 654, 517, 697, 518, 698)(475, 655, 519, 699, 520, 700)(477, 657, 521, 701, 522, 702)(479, 659, 523, 703, 524, 704)(481, 661, 525, 705, 526, 706)(482, 662, 527, 707, 528, 708)(529, 709, 536, 716, 539, 719)(530, 710, 533, 713, 537, 717)(531, 711, 534, 714, 540, 720)(532, 712, 535, 715, 538, 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, 509)(124, 519)(125, 506)(126, 523)(127, 529)(128, 499)(129, 525)(130, 530)(131, 515)(132, 503)(133, 531)(134, 532)(135, 527)(136, 510)(137, 533)(138, 534)(139, 488)(140, 522)(141, 535)(142, 512)(143, 492)(144, 536)(145, 514)(146, 485)(147, 518)(148, 528)(149, 483)(150, 496)(151, 526)(152, 502)(153, 521)(154, 505)(155, 491)(156, 524)(157, 537)(158, 507)(159, 484)(160, 538)(161, 513)(162, 500)(163, 486)(164, 516)(165, 489)(166, 511)(167, 495)(168, 508)(169, 487)(170, 490)(171, 493)(172, 494)(173, 497)(174, 498)(175, 501)(176, 504)(177, 517)(178, 520)(179, 540)(180, 539)(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, 30, 2, 30 ), ( 2, 30, 2, 30, 2, 30 ) }
Outer automorphisms :: reflexible
Dual of E10.892
Graph:: bipartite
	v = 150 e = 360 f = 192
	degree seq :: [ 4^90, 6^60 ]

E10.890 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 15})
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, (Y2 * Y1)^2, (R * Y1)^2, (R * Y3)^2, (Y3^-1 * Y1^-1)^2, (Y2 * Y1)^2, (Y2^-2 * Y1 * Y2^-1)^3, Y2^4 * Y1^-1 * Y2^-6 * Y1^-1, (Y1 * Y2^-2)^5 ]
Map::
	R = (1, 181, 2, 182, 4, 184)(3, 183, 8, 188, 10, 190)(5, 185, 12, 192, 6, 186)(7, 187, 15, 195, 11, 191)(9, 189, 18, 198, 20, 200)(13, 193, 25, 205, 23, 203)(14, 194, 24, 204, 28, 208)(16, 196, 31, 211, 29, 209)(17, 197, 33, 213, 21, 201)(19, 199, 36, 216, 38, 218)(22, 202, 30, 210, 42, 222)(26, 206, 47, 227, 45, 225)(27, 207, 49, 229, 51, 231)(32, 212, 57, 237, 55, 235)(34, 214, 61, 241, 59, 239)(35, 215, 63, 243, 39, 219)(37, 217, 66, 246, 68, 248)(40, 220, 60, 240, 72, 252)(41, 221, 73, 253, 75, 255)(43, 223, 46, 226, 78, 258)(44, 224, 79, 259, 52, 232)(48, 228, 85, 265, 83, 263)(50, 230, 88, 268, 90, 270)(53, 233, 56, 236, 94, 274)(54, 234, 95, 275, 76, 256)(58, 238, 101, 281, 99, 279)(62, 242, 107, 287, 105, 285)(64, 244, 111, 291, 109, 289)(65, 245, 113, 293, 69, 249)(67, 247, 89, 269, 117, 297)(70, 250, 110, 290, 120, 300)(71, 251, 121, 301, 123, 303)(74, 254, 126, 306, 116, 296)(77, 257, 129, 309, 130, 310)(80, 260, 119, 299, 132, 312)(81, 261, 84, 264, 135, 315)(82, 262, 136, 316, 131, 311)(86, 266, 102, 282, 108, 288)(87, 267, 138, 318, 91, 271)(92, 272, 133, 313, 143, 323)(93, 273, 144, 324, 145, 325)(96, 276, 142, 322, 147, 327)(97, 277, 100, 280, 150, 330)(98, 278, 151, 331, 146, 326)(103, 283, 106, 286, 154, 334)(104, 284, 155, 335, 124, 304)(112, 292, 137, 317, 159, 339)(114, 294, 161, 341, 160, 340)(115, 295, 162, 342, 118, 298)(122, 302, 166, 346, 163, 343)(125, 305, 168, 348, 127, 307)(128, 308, 148, 328, 157, 337)(134, 314, 152, 332, 164, 344)(139, 319, 173, 353, 172, 352)(140, 320, 174, 354, 141, 321)(149, 329, 156, 336, 175, 355)(153, 333, 179, 359, 180, 360)(158, 338, 177, 357, 165, 345)(167, 347, 176, 356, 170, 350)(169, 349, 171, 351, 178, 358)(361, 541, 363, 543, 369, 549, 379, 559, 397, 577, 427, 607, 476, 656, 523, 703, 512, 692, 461, 641, 446, 626, 408, 588, 386, 566, 373, 553, 365, 545)(362, 542, 366, 546, 374, 554, 387, 567, 410, 590, 449, 629, 428, 608, 478, 658, 516, 696, 467, 647, 462, 642, 418, 598, 392, 572, 376, 556, 367, 547)(364, 544, 371, 551, 382, 562, 401, 581, 434, 614, 477, 657, 450, 630, 501, 681, 497, 677, 445, 625, 468, 648, 422, 602, 394, 574, 377, 557, 368, 548)(370, 550, 381, 561, 400, 580, 431, 611, 482, 662, 486, 666, 435, 615, 487, 667, 444, 624, 407, 587, 443, 623, 472, 652, 424, 604, 395, 575, 378, 558)(372, 552, 383, 563, 403, 583, 437, 617, 475, 655, 426, 606, 398, 578, 429, 609, 460, 640, 417, 597, 459, 639, 494, 674, 440, 620, 404, 584, 384, 564)(375, 555, 389, 569, 413, 593, 453, 633, 500, 680, 448, 628, 411, 591, 451, 631, 466, 646, 421, 601, 465, 645, 509, 689, 456, 636, 414, 594, 390, 570)(380, 560, 399, 579, 430, 610, 479, 659, 524, 704, 526, 706, 483, 663, 442, 622, 406, 586, 385, 565, 405, 585, 441, 621, 474, 654, 425, 605, 396, 576)(388, 568, 412, 592, 452, 632, 502, 682, 535, 715, 522, 702, 490, 670, 458, 638, 416, 596, 391, 571, 415, 595, 457, 637, 499, 679, 447, 627, 409, 589)(393, 573, 419, 599, 463, 643, 513, 693, 485, 665, 433, 613, 402, 582, 436, 616, 488, 668, 471, 651, 519, 699, 534, 714, 505, 685, 464, 644, 420, 600)(423, 603, 469, 649, 517, 697, 531, 711, 496, 676, 481, 661, 432, 612, 484, 664, 527, 707, 521, 701, 495, 675, 528, 708, 540, 720, 518, 698, 470, 650)(438, 618, 491, 671, 529, 709, 533, 713, 510, 690, 473, 653, 520, 700, 530, 710, 493, 673, 439, 619, 492, 672, 480, 660, 525, 705, 511, 691, 489, 669)(454, 634, 506, 686, 537, 717, 539, 719, 514, 694, 498, 678, 532, 712, 538, 718, 508, 688, 455, 635, 507, 687, 503, 683, 536, 716, 515, 695, 504, 684)
	L = (1, 363)(2, 366)(3, 369)(4, 371)(5, 361)(6, 374)(7, 362)(8, 364)(9, 379)(10, 381)(11, 382)(12, 383)(13, 365)(14, 387)(15, 389)(16, 367)(17, 368)(18, 370)(19, 397)(20, 399)(21, 400)(22, 401)(23, 403)(24, 372)(25, 405)(26, 373)(27, 410)(28, 412)(29, 413)(30, 375)(31, 415)(32, 376)(33, 419)(34, 377)(35, 378)(36, 380)(37, 427)(38, 429)(39, 430)(40, 431)(41, 434)(42, 436)(43, 437)(44, 384)(45, 441)(46, 385)(47, 443)(48, 386)(49, 388)(50, 449)(51, 451)(52, 452)(53, 453)(54, 390)(55, 457)(56, 391)(57, 459)(58, 392)(59, 463)(60, 393)(61, 465)(62, 394)(63, 469)(64, 395)(65, 396)(66, 398)(67, 476)(68, 478)(69, 460)(70, 479)(71, 482)(72, 484)(73, 402)(74, 477)(75, 487)(76, 488)(77, 475)(78, 491)(79, 492)(80, 404)(81, 474)(82, 406)(83, 472)(84, 407)(85, 468)(86, 408)(87, 409)(88, 411)(89, 428)(90, 501)(91, 466)(92, 502)(93, 500)(94, 506)(95, 507)(96, 414)(97, 499)(98, 416)(99, 494)(100, 417)(101, 446)(102, 418)(103, 513)(104, 420)(105, 509)(106, 421)(107, 462)(108, 422)(109, 517)(110, 423)(111, 519)(112, 424)(113, 520)(114, 425)(115, 426)(116, 523)(117, 450)(118, 516)(119, 524)(120, 525)(121, 432)(122, 486)(123, 442)(124, 527)(125, 433)(126, 435)(127, 444)(128, 471)(129, 438)(130, 458)(131, 529)(132, 480)(133, 439)(134, 440)(135, 528)(136, 481)(137, 445)(138, 532)(139, 447)(140, 448)(141, 497)(142, 535)(143, 536)(144, 454)(145, 464)(146, 537)(147, 503)(148, 455)(149, 456)(150, 473)(151, 489)(152, 461)(153, 485)(154, 498)(155, 504)(156, 467)(157, 531)(158, 470)(159, 534)(160, 530)(161, 495)(162, 490)(163, 512)(164, 526)(165, 511)(166, 483)(167, 521)(168, 540)(169, 533)(170, 493)(171, 496)(172, 538)(173, 510)(174, 505)(175, 522)(176, 515)(177, 539)(178, 508)(179, 514)(180, 518)(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, 4, 2, 4, 2, 4 ), ( 2, 4, 2, 4, 2, 4, 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 E10.891
Graph:: bipartite
	v = 72 e = 360 f = 270
	degree seq :: [ 6^60, 30^12 ]

E10.891 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 15})
Quotient :: dipole
Aut^+ = GL(2,4) (small group id <180, 19>)
Aut   = A5 x S3 (small group id <360, 121>)
|r| :: 2
Presentation :: [ Y1, Y2^2, R^2, (R * Y3)^2, (R * Y1)^2, (Y3^-1 * Y2)^3, (R * Y2 * Y3^-1)^2, (Y3 * Y2)^3, Y3^-3 * Y2 * Y3^5 * Y2 * Y3^-2, Y3^-1 * Y2 * Y3^3 * Y2 * Y3^4 * Y2 * Y3^3 * Y2, (Y3^-1 * Y2 * Y3^-3)^3, Y2 * Y3^3 * Y2 * Y3^3 * Y2 * Y3^-1 * Y2 * Y3^2 * Y2 * Y3^-1, (Y3^2 * Y2 * Y3^-2 * Y2)^3, (Y3^-1 * Y1^-1)^15 ]
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)(363, 543, 367, 547)(364, 544, 369, 549)(365, 545, 371, 551)(366, 546, 373, 553)(368, 548, 376, 556)(370, 550, 379, 559)(372, 552, 382, 562)(374, 554, 385, 565)(375, 555, 387, 567)(377, 557, 390, 570)(378, 558, 392, 572)(380, 560, 395, 575)(381, 561, 397, 577)(383, 563, 400, 580)(384, 564, 402, 582)(386, 566, 405, 585)(388, 568, 408, 588)(389, 569, 410, 590)(391, 571, 413, 593)(393, 573, 416, 596)(394, 574, 418, 598)(396, 576, 421, 601)(398, 578, 424, 604)(399, 579, 426, 606)(401, 581, 429, 609)(403, 583, 432, 612)(404, 584, 434, 614)(406, 586, 437, 617)(407, 587, 439, 619)(409, 589, 442, 622)(411, 591, 445, 625)(412, 592, 447, 627)(414, 594, 430, 610)(415, 595, 451, 631)(417, 597, 454, 634)(419, 599, 456, 636)(420, 600, 457, 637)(422, 602, 438, 618)(423, 603, 459, 639)(425, 605, 462, 642)(427, 607, 465, 645)(428, 608, 467, 647)(431, 611, 471, 651)(433, 613, 474, 654)(435, 615, 476, 656)(436, 616, 477, 657)(440, 620, 480, 660)(441, 621, 482, 662)(443, 623, 478, 658)(444, 624, 485, 665)(446, 626, 488, 668)(448, 628, 490, 670)(449, 629, 470, 650)(450, 630, 469, 649)(452, 632, 493, 673)(453, 633, 495, 675)(455, 635, 498, 678)(458, 638, 463, 643)(460, 640, 504, 684)(461, 641, 486, 666)(464, 644, 508, 688)(466, 646, 510, 690)(468, 648, 511, 691)(472, 652, 514, 694)(473, 653, 499, 679)(475, 655, 518, 698)(479, 659, 521, 701)(481, 661, 494, 674)(483, 663, 523, 703)(484, 664, 520, 700)(487, 667, 525, 705)(489, 669, 528, 708)(491, 671, 517, 697)(492, 672, 530, 710)(496, 676, 532, 712)(497, 677, 512, 692)(500, 680, 529, 709)(501, 681, 527, 707)(502, 682, 507, 687)(503, 683, 535, 715)(505, 685, 515, 695)(506, 686, 524, 704)(509, 689, 531, 711)(513, 693, 537, 717)(516, 696, 533, 713)(519, 699, 522, 702)(526, 706, 536, 716)(534, 714, 538, 718)(539, 719, 540, 720)
	L = (1, 363)(2, 365)(3, 368)(4, 361)(5, 372)(6, 362)(7, 373)(8, 377)(9, 378)(10, 364)(11, 369)(12, 383)(13, 384)(14, 366)(15, 367)(16, 387)(17, 391)(18, 393)(19, 394)(20, 370)(21, 371)(22, 397)(23, 401)(24, 403)(25, 404)(26, 374)(27, 407)(28, 375)(29, 376)(30, 410)(31, 414)(32, 379)(33, 417)(34, 419)(35, 420)(36, 380)(37, 423)(38, 381)(39, 382)(40, 426)(41, 430)(42, 385)(43, 433)(44, 435)(45, 436)(46, 386)(47, 440)(48, 441)(49, 388)(50, 444)(51, 389)(52, 390)(53, 447)(54, 450)(55, 392)(56, 451)(57, 449)(58, 395)(59, 448)(60, 446)(61, 443)(62, 396)(63, 460)(64, 461)(65, 398)(66, 464)(67, 399)(68, 400)(69, 467)(70, 470)(71, 402)(72, 471)(73, 469)(74, 405)(75, 468)(76, 466)(77, 463)(78, 406)(79, 408)(80, 481)(81, 483)(82, 484)(83, 409)(84, 486)(85, 487)(86, 411)(87, 489)(88, 412)(89, 413)(90, 491)(91, 492)(92, 415)(93, 416)(94, 495)(95, 418)(96, 498)(97, 421)(98, 422)(99, 424)(100, 505)(101, 506)(102, 507)(103, 425)(104, 482)(105, 509)(106, 427)(107, 501)(108, 428)(109, 429)(110, 512)(111, 513)(112, 431)(113, 432)(114, 499)(115, 434)(116, 518)(117, 437)(118, 438)(119, 439)(120, 521)(121, 517)(122, 442)(123, 516)(124, 515)(125, 445)(126, 462)(127, 526)(128, 527)(129, 477)(130, 529)(131, 502)(132, 531)(133, 480)(134, 452)(135, 475)(136, 453)(137, 454)(138, 533)(139, 455)(140, 456)(141, 457)(142, 458)(143, 459)(144, 535)(145, 497)(146, 496)(147, 494)(148, 465)(149, 536)(150, 528)(151, 522)(152, 520)(153, 525)(154, 504)(155, 472)(156, 473)(157, 474)(158, 532)(159, 476)(160, 478)(161, 534)(162, 479)(163, 508)(164, 485)(165, 488)(166, 530)(167, 511)(168, 490)(169, 503)(170, 493)(171, 510)(172, 539)(173, 540)(174, 500)(175, 538)(176, 537)(177, 514)(178, 519)(179, 523)(180, 524)(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, 30 ), ( 6, 30, 6, 30 ) }
Outer automorphisms :: reflexible
Dual of E10.890
Graph:: simple bipartite
	v = 270 e = 360 f = 72
	degree seq :: [ 2^180, 4^90 ]

E10.892 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 15})
Quotient :: dipole
Aut^+ = GL(2,4) (small group id <180, 19>)
Aut   = A5 x S3 (small group id <360, 121>)
|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^-5 * Y3 * Y1^3, Y1^-1 * Y3 * Y1^3 * Y3 * Y1^3 * Y3 * Y1^-1 * Y3 * Y1^2 * Y3, Y1^2 * Y3 * Y1^-1 * Y3 * Y1^3 * Y3 * Y1^3 * Y3 * Y1^-1 * Y3, Y1^15 ]
Map:: polytopal
	R = (1, 181, 2, 182, 5, 185, 11, 191, 21, 201, 37, 217, 63, 243, 99, 279, 142, 322, 98, 278, 62, 242, 36, 216, 20, 200, 10, 190, 4, 184)(3, 183, 7, 187, 15, 195, 27, 207, 47, 227, 64, 244, 101, 281, 144, 324, 158, 338, 118, 298, 90, 270, 54, 234, 31, 211, 17, 197, 8, 188)(6, 186, 13, 193, 25, 205, 43, 223, 73, 253, 100, 280, 79, 259, 119, 299, 141, 321, 97, 277, 61, 241, 78, 258, 46, 226, 26, 206, 14, 194)(9, 189, 18, 198, 32, 212, 55, 235, 66, 246, 38, 218, 65, 245, 102, 282, 131, 311, 89, 269, 128, 308, 85, 265, 51, 231, 29, 209, 16, 196)(12, 192, 23, 203, 41, 221, 69, 249, 106, 286, 143, 323, 111, 291, 140, 320, 96, 276, 59, 239, 35, 215, 60, 240, 72, 252, 42, 222, 24, 204)(19, 199, 34, 214, 58, 238, 68, 248, 40, 220, 22, 202, 39, 219, 67, 247, 103, 283, 127, 307, 167, 347, 137, 317, 94, 274, 57, 237, 33, 213)(28, 208, 49, 229, 82, 262, 122, 302, 161, 341, 133, 313, 91, 271, 132, 312, 130, 310, 87, 267, 53, 233, 88, 268, 125, 305, 83, 263, 50, 230)(30, 210, 52, 232, 86, 266, 121, 301, 81, 261, 48, 228, 80, 260, 120, 300, 116, 296, 77, 257, 117, 297, 156, 336, 114, 294, 75, 255, 44, 224)(45, 225, 76, 256, 115, 295, 154, 334, 113, 293, 74, 254, 112, 292, 153, 333, 151, 331, 110, 290, 152, 332, 160, 340, 149, 329, 108, 288, 70, 250)(56, 236, 92, 272, 134, 314, 170, 350, 165, 345, 145, 325, 105, 285, 147, 327, 163, 343, 123, 303, 84, 264, 126, 306, 166, 346, 135, 315, 93, 273)(71, 251, 109, 289, 150, 330, 171, 351, 136, 316, 107, 287, 148, 328, 174, 354, 139, 319, 95, 275, 138, 318, 173, 353, 175, 355, 146, 326, 104, 284)(124, 304, 164, 344, 176, 356, 177, 357, 155, 335, 162, 342, 179, 359, 180, 360, 169, 349, 129, 309, 168, 348, 172, 352, 178, 358, 157, 337, 159, 339)(361, 541)(362, 542)(363, 543)(364, 544)(365, 545)(366, 546)(367, 547)(368, 548)(369, 549)(370, 550)(371, 551)(372, 552)(373, 553)(374, 554)(375, 555)(376, 556)(377, 557)(378, 558)(379, 559)(380, 560)(381, 561)(382, 562)(383, 563)(384, 564)(385, 565)(386, 566)(387, 567)(388, 568)(389, 569)(390, 570)(391, 571)(392, 572)(393, 573)(394, 574)(395, 575)(396, 576)(397, 577)(398, 578)(399, 579)(400, 580)(401, 581)(402, 582)(403, 583)(404, 584)(405, 585)(406, 586)(407, 587)(408, 588)(409, 589)(410, 590)(411, 591)(412, 592)(413, 593)(414, 594)(415, 595)(416, 596)(417, 597)(418, 598)(419, 599)(420, 600)(421, 601)(422, 602)(423, 603)(424, 604)(425, 605)(426, 606)(427, 607)(428, 608)(429, 609)(430, 610)(431, 611)(432, 612)(433, 613)(434, 614)(435, 615)(436, 616)(437, 617)(438, 618)(439, 619)(440, 620)(441, 621)(442, 622)(443, 623)(444, 624)(445, 625)(446, 626)(447, 627)(448, 628)(449, 629)(450, 630)(451, 631)(452, 632)(453, 633)(454, 634)(455, 635)(456, 636)(457, 637)(458, 638)(459, 639)(460, 640)(461, 641)(462, 642)(463, 643)(464, 644)(465, 645)(466, 646)(467, 647)(468, 648)(469, 649)(470, 650)(471, 651)(472, 652)(473, 653)(474, 654)(475, 655)(476, 656)(477, 657)(478, 658)(479, 659)(480, 660)(481, 661)(482, 662)(483, 663)(484, 664)(485, 665)(486, 666)(487, 667)(488, 668)(489, 669)(490, 670)(491, 671)(492, 672)(493, 673)(494, 674)(495, 675)(496, 676)(497, 677)(498, 678)(499, 679)(500, 680)(501, 681)(502, 682)(503, 683)(504, 684)(505, 685)(506, 686)(507, 687)(508, 688)(509, 689)(510, 690)(511, 691)(512, 692)(513, 693)(514, 694)(515, 695)(516, 696)(517, 697)(518, 698)(519, 699)(520, 700)(521, 701)(522, 702)(523, 703)(524, 704)(525, 705)(526, 706)(527, 707)(528, 708)(529, 709)(530, 710)(531, 711)(532, 712)(533, 713)(534, 714)(535, 715)(536, 716)(537, 717)(538, 718)(539, 719)(540, 720)
	L = (1, 363)(2, 366)(3, 361)(4, 369)(5, 372)(6, 362)(7, 376)(8, 373)(9, 364)(10, 379)(11, 382)(12, 365)(13, 368)(14, 383)(15, 388)(16, 367)(17, 390)(18, 393)(19, 370)(20, 395)(21, 398)(22, 371)(23, 374)(24, 399)(25, 404)(26, 405)(27, 408)(28, 375)(29, 409)(30, 377)(31, 413)(32, 416)(33, 378)(34, 419)(35, 380)(36, 421)(37, 424)(38, 381)(39, 384)(40, 425)(41, 430)(42, 431)(43, 434)(44, 385)(45, 386)(46, 437)(47, 439)(48, 387)(49, 389)(50, 440)(51, 444)(52, 447)(53, 391)(54, 449)(55, 451)(56, 392)(57, 452)(58, 455)(59, 394)(60, 457)(61, 396)(62, 450)(63, 460)(64, 397)(65, 400)(66, 461)(67, 464)(68, 465)(69, 467)(70, 401)(71, 402)(72, 470)(73, 471)(74, 403)(75, 472)(76, 476)(77, 406)(78, 478)(79, 407)(80, 410)(81, 479)(82, 483)(83, 484)(84, 411)(85, 487)(86, 489)(87, 412)(88, 491)(89, 414)(90, 422)(91, 415)(92, 417)(93, 492)(94, 496)(95, 418)(96, 498)(97, 420)(98, 488)(99, 503)(100, 423)(101, 426)(102, 505)(103, 486)(104, 427)(105, 428)(106, 497)(107, 429)(108, 508)(109, 511)(110, 432)(111, 433)(112, 435)(113, 500)(114, 515)(115, 517)(116, 436)(117, 518)(118, 438)(119, 441)(120, 519)(121, 520)(122, 522)(123, 442)(124, 443)(125, 525)(126, 463)(127, 445)(128, 458)(129, 446)(130, 528)(131, 448)(132, 453)(133, 504)(134, 531)(135, 532)(136, 454)(137, 466)(138, 456)(139, 507)(140, 473)(141, 512)(142, 527)(143, 459)(144, 493)(145, 462)(146, 526)(147, 499)(148, 468)(149, 529)(150, 536)(151, 469)(152, 501)(153, 537)(154, 533)(155, 474)(156, 521)(157, 475)(158, 477)(159, 480)(160, 481)(161, 516)(162, 482)(163, 539)(164, 530)(165, 485)(166, 506)(167, 502)(168, 490)(169, 509)(170, 524)(171, 494)(172, 495)(173, 514)(174, 540)(175, 538)(176, 510)(177, 513)(178, 535)(179, 523)(180, 534)(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, 6 ), ( 4, 6, 4, 6, 4, 6, 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 E10.889
Graph:: simple bipartite
	v = 192 e = 360 f = 150
	degree seq :: [ 2^180, 30^12 ]

E10.893 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 15})
Quotient :: dipole
Aut^+ = GL(2,4) (small group id <180, 19>)
Aut   = A5 x S3 (small group id <360, 121>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, (R * Y3)^2, (R * Y1)^2, (Y2^-1 * Y1)^3, (R * Y2 * Y3^-1)^2, (Y2 * Y1)^3, (Y3 * Y2^-1)^3, Y2^-3 * Y1 * Y2^5 * Y1 * Y2^-2, Y2^-1 * Y1 * Y2^3 * Y1 * Y2^4 * Y1 * Y2^3 * Y1, Y1 * Y2^3 * Y1 * Y2^3 * Y1 * Y2^-1 * Y1 * Y2^2 * Y1 * Y2^-1, Y2^15, (Y2^-1 * Y1 * Y2^-3)^3, (Y2^2 * Y1 * Y2^-2 * Y1)^3 ]
Map::
	R = (1, 181, 2, 182)(3, 183, 7, 187)(4, 184, 9, 189)(5, 185, 11, 191)(6, 186, 13, 193)(8, 188, 16, 196)(10, 190, 19, 199)(12, 192, 22, 202)(14, 194, 25, 205)(15, 195, 27, 207)(17, 197, 30, 210)(18, 198, 32, 212)(20, 200, 35, 215)(21, 201, 37, 217)(23, 203, 40, 220)(24, 204, 42, 222)(26, 206, 45, 225)(28, 208, 48, 228)(29, 209, 50, 230)(31, 211, 53, 233)(33, 213, 56, 236)(34, 214, 58, 238)(36, 216, 61, 241)(38, 218, 64, 244)(39, 219, 66, 246)(41, 221, 69, 249)(43, 223, 72, 252)(44, 224, 74, 254)(46, 226, 77, 257)(47, 227, 79, 259)(49, 229, 82, 262)(51, 231, 85, 265)(52, 232, 87, 267)(54, 234, 70, 250)(55, 235, 91, 271)(57, 237, 94, 274)(59, 239, 96, 276)(60, 240, 97, 277)(62, 242, 78, 258)(63, 243, 99, 279)(65, 245, 102, 282)(67, 247, 105, 285)(68, 248, 107, 287)(71, 251, 111, 291)(73, 253, 114, 294)(75, 255, 116, 296)(76, 256, 117, 297)(80, 260, 120, 300)(81, 261, 122, 302)(83, 263, 118, 298)(84, 264, 125, 305)(86, 266, 128, 308)(88, 268, 130, 310)(89, 269, 110, 290)(90, 270, 109, 289)(92, 272, 133, 313)(93, 273, 135, 315)(95, 275, 138, 318)(98, 278, 103, 283)(100, 280, 144, 324)(101, 281, 126, 306)(104, 284, 148, 328)(106, 286, 150, 330)(108, 288, 151, 331)(112, 292, 154, 334)(113, 293, 139, 319)(115, 295, 158, 338)(119, 299, 161, 341)(121, 301, 134, 314)(123, 303, 163, 343)(124, 304, 160, 340)(127, 307, 165, 345)(129, 309, 168, 348)(131, 311, 157, 337)(132, 312, 170, 350)(136, 316, 172, 352)(137, 317, 152, 332)(140, 320, 169, 349)(141, 321, 167, 347)(142, 322, 147, 327)(143, 323, 175, 355)(145, 325, 155, 335)(146, 326, 164, 344)(149, 329, 171, 351)(153, 333, 177, 357)(156, 336, 173, 353)(159, 339, 162, 342)(166, 346, 176, 356)(174, 354, 178, 358)(179, 359, 180, 360)(361, 541, 363, 543, 368, 548, 377, 557, 391, 571, 414, 594, 450, 630, 491, 671, 502, 682, 458, 638, 422, 602, 396, 576, 380, 560, 370, 550, 364, 544)(362, 542, 365, 545, 372, 552, 383, 563, 401, 581, 430, 610, 470, 650, 512, 692, 520, 700, 478, 658, 438, 618, 406, 586, 386, 566, 374, 554, 366, 546)(367, 547, 373, 553, 384, 564, 403, 583, 433, 613, 469, 649, 429, 609, 467, 647, 501, 681, 457, 637, 421, 601, 443, 623, 409, 589, 388, 568, 375, 555)(369, 549, 378, 558, 393, 573, 417, 597, 449, 629, 413, 593, 447, 627, 489, 669, 477, 657, 437, 617, 463, 643, 425, 605, 398, 578, 381, 561, 371, 551)(376, 556, 387, 567, 407, 587, 440, 620, 481, 661, 517, 697, 474, 654, 499, 679, 455, 635, 418, 598, 395, 575, 420, 600, 446, 626, 411, 591, 389, 569)(379, 559, 394, 574, 419, 599, 448, 628, 412, 592, 390, 570, 410, 590, 444, 624, 486, 666, 462, 642, 507, 687, 494, 674, 452, 632, 415, 595, 392, 572)(382, 562, 397, 577, 423, 603, 460, 640, 505, 685, 497, 677, 454, 634, 495, 675, 475, 655, 434, 614, 405, 585, 436, 616, 466, 646, 427, 607, 399, 579)(385, 565, 404, 584, 435, 615, 468, 648, 428, 608, 400, 580, 426, 606, 464, 644, 482, 662, 442, 622, 484, 664, 515, 695, 472, 652, 431, 611, 402, 582)(408, 588, 441, 621, 483, 663, 516, 696, 473, 653, 432, 612, 471, 651, 513, 693, 525, 705, 488, 668, 527, 707, 511, 691, 522, 702, 479, 659, 439, 619)(416, 596, 451, 631, 492, 672, 531, 711, 510, 690, 528, 708, 490, 670, 529, 709, 503, 683, 459, 639, 424, 604, 461, 641, 506, 686, 496, 676, 453, 633)(445, 625, 487, 667, 526, 706, 530, 710, 493, 673, 480, 660, 521, 701, 534, 714, 500, 680, 456, 636, 498, 678, 533, 713, 540, 720, 524, 704, 485, 665)(465, 645, 509, 689, 536, 716, 537, 717, 514, 694, 504, 684, 535, 715, 538, 718, 519, 699, 476, 656, 518, 698, 532, 712, 539, 719, 523, 703, 508, 688)
	L = (1, 362)(2, 361)(3, 367)(4, 369)(5, 371)(6, 373)(7, 363)(8, 376)(9, 364)(10, 379)(11, 365)(12, 382)(13, 366)(14, 385)(15, 387)(16, 368)(17, 390)(18, 392)(19, 370)(20, 395)(21, 397)(22, 372)(23, 400)(24, 402)(25, 374)(26, 405)(27, 375)(28, 408)(29, 410)(30, 377)(31, 413)(32, 378)(33, 416)(34, 418)(35, 380)(36, 421)(37, 381)(38, 424)(39, 426)(40, 383)(41, 429)(42, 384)(43, 432)(44, 434)(45, 386)(46, 437)(47, 439)(48, 388)(49, 442)(50, 389)(51, 445)(52, 447)(53, 391)(54, 430)(55, 451)(56, 393)(57, 454)(58, 394)(59, 456)(60, 457)(61, 396)(62, 438)(63, 459)(64, 398)(65, 462)(66, 399)(67, 465)(68, 467)(69, 401)(70, 414)(71, 471)(72, 403)(73, 474)(74, 404)(75, 476)(76, 477)(77, 406)(78, 422)(79, 407)(80, 480)(81, 482)(82, 409)(83, 478)(84, 485)(85, 411)(86, 488)(87, 412)(88, 490)(89, 470)(90, 469)(91, 415)(92, 493)(93, 495)(94, 417)(95, 498)(96, 419)(97, 420)(98, 463)(99, 423)(100, 504)(101, 486)(102, 425)(103, 458)(104, 508)(105, 427)(106, 510)(107, 428)(108, 511)(109, 450)(110, 449)(111, 431)(112, 514)(113, 499)(114, 433)(115, 518)(116, 435)(117, 436)(118, 443)(119, 521)(120, 440)(121, 494)(122, 441)(123, 523)(124, 520)(125, 444)(126, 461)(127, 525)(128, 446)(129, 528)(130, 448)(131, 517)(132, 530)(133, 452)(134, 481)(135, 453)(136, 532)(137, 512)(138, 455)(139, 473)(140, 529)(141, 527)(142, 507)(143, 535)(144, 460)(145, 515)(146, 524)(147, 502)(148, 464)(149, 531)(150, 466)(151, 468)(152, 497)(153, 537)(154, 472)(155, 505)(156, 533)(157, 491)(158, 475)(159, 522)(160, 484)(161, 479)(162, 519)(163, 483)(164, 506)(165, 487)(166, 536)(167, 501)(168, 489)(169, 500)(170, 492)(171, 509)(172, 496)(173, 516)(174, 538)(175, 503)(176, 526)(177, 513)(178, 534)(179, 540)(180, 539)(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, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6 ) }
Outer automorphisms :: reflexible
Dual of E10.894
Graph:: bipartite
	v = 102 e = 360 f = 240
	degree seq :: [ 4^90, 30^12 ]

E10.894 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 15})
Quotient :: dipole
Aut^+ = GL(2,4) (small group id <180, 19>)
Aut   = A5 x S3 (small group id <360, 121>)
|r| :: 2
Presentation :: [ Y2, R^2, Y1^3, (Y3^-1 * Y1^-1)^2, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y1^-1 * Y3^4 * Y1^-1 * Y3^-6, (Y3^3 * Y1^-1)^3, (Y3 * Y2^-1)^15 ]
Map:: polytopal
	R = (1, 181, 2, 182, 4, 184)(3, 183, 8, 188, 10, 190)(5, 185, 12, 192, 6, 186)(7, 187, 15, 195, 11, 191)(9, 189, 18, 198, 20, 200)(13, 193, 25, 205, 23, 203)(14, 194, 24, 204, 28, 208)(16, 196, 31, 211, 29, 209)(17, 197, 33, 213, 21, 201)(19, 199, 36, 216, 38, 218)(22, 202, 30, 210, 42, 222)(26, 206, 47, 227, 45, 225)(27, 207, 49, 229, 51, 231)(32, 212, 57, 237, 55, 235)(34, 214, 61, 241, 59, 239)(35, 215, 63, 243, 39, 219)(37, 217, 66, 246, 68, 248)(40, 220, 60, 240, 72, 252)(41, 221, 73, 253, 75, 255)(43, 223, 46, 226, 78, 258)(44, 224, 79, 259, 52, 232)(48, 228, 85, 265, 83, 263)(50, 230, 88, 268, 90, 270)(53, 233, 56, 236, 94, 274)(54, 234, 95, 275, 76, 256)(58, 238, 101, 281, 99, 279)(62, 242, 107, 287, 105, 285)(64, 244, 111, 291, 109, 289)(65, 245, 113, 293, 69, 249)(67, 247, 89, 269, 117, 297)(70, 250, 110, 290, 120, 300)(71, 251, 121, 301, 123, 303)(74, 254, 126, 306, 116, 296)(77, 257, 129, 309, 130, 310)(80, 260, 119, 299, 132, 312)(81, 261, 84, 264, 135, 315)(82, 262, 136, 316, 131, 311)(86, 266, 102, 282, 108, 288)(87, 267, 138, 318, 91, 271)(92, 272, 133, 313, 143, 323)(93, 273, 144, 324, 145, 325)(96, 276, 142, 322, 147, 327)(97, 277, 100, 280, 150, 330)(98, 278, 151, 331, 146, 326)(103, 283, 106, 286, 154, 334)(104, 284, 155, 335, 124, 304)(112, 292, 137, 317, 159, 339)(114, 294, 161, 341, 160, 340)(115, 295, 162, 342, 118, 298)(122, 302, 166, 346, 163, 343)(125, 305, 168, 348, 127, 307)(128, 308, 148, 328, 157, 337)(134, 314, 152, 332, 164, 344)(139, 319, 173, 353, 172, 352)(140, 320, 174, 354, 141, 321)(149, 329, 156, 336, 175, 355)(153, 333, 179, 359, 180, 360)(158, 338, 177, 357, 165, 345)(167, 347, 176, 356, 170, 350)(169, 349, 171, 351, 178, 358)(361, 541)(362, 542)(363, 543)(364, 544)(365, 545)(366, 546)(367, 547)(368, 548)(369, 549)(370, 550)(371, 551)(372, 552)(373, 553)(374, 554)(375, 555)(376, 556)(377, 557)(378, 558)(379, 559)(380, 560)(381, 561)(382, 562)(383, 563)(384, 564)(385, 565)(386, 566)(387, 567)(388, 568)(389, 569)(390, 570)(391, 571)(392, 572)(393, 573)(394, 574)(395, 575)(396, 576)(397, 577)(398, 578)(399, 579)(400, 580)(401, 581)(402, 582)(403, 583)(404, 584)(405, 585)(406, 586)(407, 587)(408, 588)(409, 589)(410, 590)(411, 591)(412, 592)(413, 593)(414, 594)(415, 595)(416, 596)(417, 597)(418, 598)(419, 599)(420, 600)(421, 601)(422, 602)(423, 603)(424, 604)(425, 605)(426, 606)(427, 607)(428, 608)(429, 609)(430, 610)(431, 611)(432, 612)(433, 613)(434, 614)(435, 615)(436, 616)(437, 617)(438, 618)(439, 619)(440, 620)(441, 621)(442, 622)(443, 623)(444, 624)(445, 625)(446, 626)(447, 627)(448, 628)(449, 629)(450, 630)(451, 631)(452, 632)(453, 633)(454, 634)(455, 635)(456, 636)(457, 637)(458, 638)(459, 639)(460, 640)(461, 641)(462, 642)(463, 643)(464, 644)(465, 645)(466, 646)(467, 647)(468, 648)(469, 649)(470, 650)(471, 651)(472, 652)(473, 653)(474, 654)(475, 655)(476, 656)(477, 657)(478, 658)(479, 659)(480, 660)(481, 661)(482, 662)(483, 663)(484, 664)(485, 665)(486, 666)(487, 667)(488, 668)(489, 669)(490, 670)(491, 671)(492, 672)(493, 673)(494, 674)(495, 675)(496, 676)(497, 677)(498, 678)(499, 679)(500, 680)(501, 681)(502, 682)(503, 683)(504, 684)(505, 685)(506, 686)(507, 687)(508, 688)(509, 689)(510, 690)(511, 691)(512, 692)(513, 693)(514, 694)(515, 695)(516, 696)(517, 697)(518, 698)(519, 699)(520, 700)(521, 701)(522, 702)(523, 703)(524, 704)(525, 705)(526, 706)(527, 707)(528, 708)(529, 709)(530, 710)(531, 711)(532, 712)(533, 713)(534, 714)(535, 715)(536, 716)(537, 717)(538, 718)(539, 719)(540, 720)
	L = (1, 363)(2, 366)(3, 369)(4, 371)(5, 361)(6, 374)(7, 362)(8, 364)(9, 379)(10, 381)(11, 382)(12, 383)(13, 365)(14, 387)(15, 389)(16, 367)(17, 368)(18, 370)(19, 397)(20, 399)(21, 400)(22, 401)(23, 403)(24, 372)(25, 405)(26, 373)(27, 410)(28, 412)(29, 413)(30, 375)(31, 415)(32, 376)(33, 419)(34, 377)(35, 378)(36, 380)(37, 427)(38, 429)(39, 430)(40, 431)(41, 434)(42, 436)(43, 437)(44, 384)(45, 441)(46, 385)(47, 443)(48, 386)(49, 388)(50, 449)(51, 451)(52, 452)(53, 453)(54, 390)(55, 457)(56, 391)(57, 459)(58, 392)(59, 463)(60, 393)(61, 465)(62, 394)(63, 469)(64, 395)(65, 396)(66, 398)(67, 476)(68, 478)(69, 460)(70, 479)(71, 482)(72, 484)(73, 402)(74, 477)(75, 487)(76, 488)(77, 475)(78, 491)(79, 492)(80, 404)(81, 474)(82, 406)(83, 472)(84, 407)(85, 468)(86, 408)(87, 409)(88, 411)(89, 428)(90, 501)(91, 466)(92, 502)(93, 500)(94, 506)(95, 507)(96, 414)(97, 499)(98, 416)(99, 494)(100, 417)(101, 446)(102, 418)(103, 513)(104, 420)(105, 509)(106, 421)(107, 462)(108, 422)(109, 517)(110, 423)(111, 519)(112, 424)(113, 520)(114, 425)(115, 426)(116, 523)(117, 450)(118, 516)(119, 524)(120, 525)(121, 432)(122, 486)(123, 442)(124, 527)(125, 433)(126, 435)(127, 444)(128, 471)(129, 438)(130, 458)(131, 529)(132, 480)(133, 439)(134, 440)(135, 528)(136, 481)(137, 445)(138, 532)(139, 447)(140, 448)(141, 497)(142, 535)(143, 536)(144, 454)(145, 464)(146, 537)(147, 503)(148, 455)(149, 456)(150, 473)(151, 489)(152, 461)(153, 485)(154, 498)(155, 504)(156, 467)(157, 531)(158, 470)(159, 534)(160, 530)(161, 495)(162, 490)(163, 512)(164, 526)(165, 511)(166, 483)(167, 521)(168, 540)(169, 533)(170, 493)(171, 496)(172, 538)(173, 510)(174, 505)(175, 522)(176, 515)(177, 539)(178, 508)(179, 514)(180, 518)(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, 30 ), ( 4, 30, 4, 30, 4, 30 ) }
Outer automorphisms :: reflexible
Dual of E10.893
Graph:: simple bipartite
	v = 240 e = 360 f = 102
	degree seq :: [ 2^180, 6^60 ]

E10.895 :: Family: { 5 } :: Oriented family(ies): { E3a }
Signature :: (0; {3, 3, 4})
Quotient :: edge
Aut^+ = ((C3 x C3) : Q8) : C3 (small group id <216, 153>)
Aut   = ((C3 x C3) : Q8) : C3 (small group id <216, 153>)
|r| :: 1
Presentation :: [ X1^3, X2^4, (X1^-1 * X2^-1)^3, X2^-2 * X1 * X2^-1 * X1^-1 * X2 * X1^-1 * X2 * X1^-1 * X2^2 * X1^-1, X2 * X1^-1 * X2^-1 * X1 * X2 * X1 * X2^-1 * X1 * X2^-1 * X1^-1 * X2 * X1^-1, (X2 * X1^-1)^6 ]
Map:: polyhedral 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, 20)(16, 34, 35)(21, 42, 43)(24, 48, 50)(25, 51, 44)(27, 53, 54)(30, 47, 60)(31, 61, 62)(32, 63, 64)(33, 65, 66)(36, 71, 73)(37, 74, 67)(38, 70, 76)(39, 77, 78)(40, 79, 80)(41, 81, 82)(45, 87, 88)(46, 89, 91)(49, 93, 94)(52, 99, 100)(55, 105, 107)(56, 108, 101)(57, 104, 110)(58, 111, 112)(59, 113, 114)(68, 127, 128)(69, 129, 131)(72, 133, 134)(75, 139, 140)(83, 151, 153)(84, 124, 154)(85, 155, 156)(86, 147, 157)(90, 143, 161)(92, 164, 165)(95, 168, 144)(96, 136, 166)(97, 141, 170)(98, 171, 172)(102, 176, 159)(103, 177, 179)(106, 181, 182)(109, 185, 186)(115, 195, 183)(116, 196, 192)(117, 194, 178)(118, 167, 198)(119, 199, 149)(120, 145, 200)(121, 201, 175)(122, 203, 123)(125, 152, 205)(126, 150, 206)(130, 189, 207)(132, 158, 208)(135, 209, 190)(137, 187, 210)(138, 211, 212)(142, 197, 213)(146, 191, 215)(148, 193, 173)(160, 216, 180)(162, 174, 204)(163, 188, 214)(169, 202, 184)(217, 219, 225, 221)(218, 222, 232, 223)(220, 227, 243, 228)(224, 236, 257, 237)(226, 240, 265, 241)(229, 246, 275, 247)(230, 248, 249, 231)(233, 252, 288, 253)(234, 254, 291, 255)(235, 256, 268, 242)(238, 260, 302, 261)(239, 262, 306, 263)(244, 271, 322, 272)(245, 273, 325, 274)(250, 283, 342, 284)(251, 285, 346, 286)(258, 299, 368, 300)(259, 301, 308, 264)(266, 311, 349, 312)(267, 313, 385, 314)(269, 317, 391, 318)(270, 319, 394, 320)(276, 331, 398, 332)(277, 333, 413, 334)(278, 335, 336, 279)(280, 337, 418, 338)(281, 339, 420, 340)(282, 341, 348, 287)(289, 351, 397, 352)(290, 353, 387, 354)(292, 357, 310, 358)(293, 359, 430, 360)(294, 361, 362, 295)(296, 363, 388, 364)(297, 328, 407, 365)(298, 366, 428, 367)(303, 374, 393, 375)(304, 343, 376, 305)(307, 378, 401, 379)(309, 382, 323, 383)(315, 389, 371, 370)(316, 390, 396, 321)(324, 399, 427, 400)(326, 403, 350, 404)(327, 405, 412, 406)(329, 408, 347, 372)(330, 409, 426, 410)(344, 392, 380, 345)(355, 429, 395, 421)(356, 369, 411, 377)(373, 431, 425, 424)(381, 417, 416, 384)(386, 423, 402, 419)(414, 432, 422, 415)
	L = (1, 217)(2, 218)(3, 219)(4, 220)(5, 221)(6, 222)(7, 223)(8, 224)(9, 225)(10, 226)(11, 227)(12, 228)(13, 229)(14, 230)(15, 231)(16, 232)(17, 233)(18, 234)(19, 235)(20, 236)(21, 237)(22, 238)(23, 239)(24, 240)(25, 241)(26, 242)(27, 243)(28, 244)(29, 245)(30, 246)(31, 247)(32, 248)(33, 249)(34, 250)(35, 251)(36, 252)(37, 253)(38, 254)(39, 255)(40, 256)(41, 257)(42, 258)(43, 259)(44, 260)(45, 261)(46, 262)(47, 263)(48, 264)(49, 265)(50, 266)(51, 267)(52, 268)(53, 269)(54, 270)(55, 271)(56, 272)(57, 273)(58, 274)(59, 275)(60, 276)(61, 277)(62, 278)(63, 279)(64, 280)(65, 281)(66, 282)(67, 283)(68, 284)(69, 285)(70, 286)(71, 287)(72, 288)(73, 289)(74, 290)(75, 291)(76, 292)(77, 293)(78, 294)(79, 295)(80, 296)(81, 297)(82, 298)(83, 299)(84, 300)(85, 301)(86, 302)(87, 303)(88, 304)(89, 305)(90, 306)(91, 307)(92, 308)(93, 309)(94, 310)(95, 311)(96, 312)(97, 313)(98, 314)(99, 315)(100, 316)(101, 317)(102, 318)(103, 319)(104, 320)(105, 321)(106, 322)(107, 323)(108, 324)(109, 325)(110, 326)(111, 327)(112, 328)(113, 329)(114, 330)(115, 331)(116, 332)(117, 333)(118, 334)(119, 335)(120, 336)(121, 337)(122, 338)(123, 339)(124, 340)(125, 341)(126, 342)(127, 343)(128, 344)(129, 345)(130, 346)(131, 347)(132, 348)(133, 349)(134, 350)(135, 351)(136, 352)(137, 353)(138, 354)(139, 355)(140, 356)(141, 357)(142, 358)(143, 359)(144, 360)(145, 361)(146, 362)(147, 363)(148, 364)(149, 365)(150, 366)(151, 367)(152, 368)(153, 369)(154, 370)(155, 371)(156, 372)(157, 373)(158, 374)(159, 375)(160, 376)(161, 377)(162, 378)(163, 379)(164, 380)(165, 381)(166, 382)(167, 383)(168, 384)(169, 385)(170, 386)(171, 387)(172, 388)(173, 389)(174, 390)(175, 391)(176, 392)(177, 393)(178, 394)(179, 395)(180, 396)(181, 397)(182, 398)(183, 399)(184, 400)(185, 401)(186, 402)(187, 403)(188, 404)(189, 405)(190, 406)(191, 407)(192, 408)(193, 409)(194, 410)(195, 411)(196, 412)(197, 413)(198, 414)(199, 415)(200, 416)(201, 417)(202, 418)(203, 419)(204, 420)(205, 421)(206, 422)(207, 423)(208, 424)(209, 425)(210, 426)(211, 427)(212, 428)(213, 429)(214, 430)(215, 431)(216, 432)
	local type(s) :: { ( 6^3 ), ( 6^4 ) }
Outer automorphisms :: chiral
Transitivity :: ET+
Graph:: simple bipartite
	v = 126 e = 216 f = 72
	degree seq :: [ 3^72, 4^54 ]

E10.896 :: Family: { 5* } :: Oriented family(ies): { E3*a }
Signature :: (0; {3, 3, 4})
Quotient :: loop
Aut^+ = ((C3 x C3) : Q8) : C3 (small group id <216, 153>)
Aut   = ((C3 x C3) : Q8) : C3 (small group id <216, 153>)
|r| :: 1
Presentation :: [ X1^3, X2^3, (X2^-1 * X1^-1)^4, X2 * X1^-1 * X2^-1 * X1 * X2^-1 * X1 * X2 * X1^-1 * X2 * X1 * X2^-1 * X1^-1, (X2 * X1^-1)^6, X2^-1 * X1 * X2^-1 * X1^-1 * X2 * X1^-1 * X2 * X1 * X2^-1 * X1 * X2 * X1^-1 ]
Map:: polyhedral non-degenerate
	R = (1, 217, 2, 218, 4, 220)(3, 219, 8, 224, 9, 225)(5, 221, 12, 228, 13, 229)(6, 222, 14, 230, 15, 231)(7, 223, 16, 232, 17, 233)(10, 226, 22, 238, 23, 239)(11, 227, 24, 240, 25, 241)(18, 234, 38, 254, 39, 255)(19, 235, 40, 256, 41, 257)(20, 236, 42, 258, 43, 259)(21, 237, 44, 260, 45, 261)(26, 242, 53, 269, 54, 270)(27, 243, 55, 271, 56, 272)(28, 244, 57, 273, 58, 274)(29, 245, 59, 275, 30, 246)(31, 247, 60, 276, 61, 277)(32, 248, 62, 278, 63, 279)(33, 249, 64, 280, 65, 281)(34, 250, 66, 282, 67, 283)(35, 251, 68, 284, 69, 285)(36, 252, 70, 286, 71, 287)(37, 253, 72, 288, 46, 262)(47, 263, 86, 302, 87, 303)(48, 264, 88, 304, 89, 305)(49, 265, 90, 306, 91, 307)(50, 266, 92, 308, 93, 309)(51, 267, 94, 310, 95, 311)(52, 268, 96, 312, 97, 313)(73, 289, 133, 349, 134, 350)(74, 290, 135, 351, 136, 352)(75, 291, 137, 353, 121, 337)(76, 292, 138, 354, 139, 355)(77, 293, 140, 356, 129, 345)(78, 294, 141, 357, 79, 295)(80, 296, 115, 331, 142, 358)(81, 297, 143, 359, 124, 340)(82, 298, 144, 360, 145, 361)(83, 299, 146, 362, 147, 363)(84, 300, 119, 335, 148, 364)(85, 301, 149, 365, 150, 366)(98, 314, 151, 367, 170, 386)(99, 315, 162, 378, 171, 387)(100, 316, 172, 388, 122, 338)(101, 317, 156, 372, 173, 389)(102, 318, 174, 390, 130, 346)(103, 319, 175, 391, 104, 320)(105, 321, 176, 392, 177, 393)(106, 322, 153, 369, 178, 394)(107, 323, 164, 380, 179, 395)(108, 324, 180, 396, 181, 397)(109, 325, 182, 398, 183, 399)(110, 326, 184, 400, 160, 376)(111, 327, 185, 401, 186, 402)(112, 328, 187, 403, 168, 384)(113, 329, 188, 404, 114, 330)(116, 332, 189, 405, 163, 379)(117, 333, 190, 406, 191, 407)(118, 334, 192, 408, 193, 409)(120, 336, 194, 410, 195, 411)(123, 339, 196, 412, 161, 377)(125, 341, 197, 413, 169, 385)(126, 342, 198, 414, 127, 343)(128, 344, 199, 415, 200, 416)(131, 347, 201, 417, 202, 418)(132, 348, 203, 419, 204, 420)(152, 368, 211, 427, 206, 422)(154, 370, 208, 424, 155, 371)(157, 373, 205, 421, 212, 428)(158, 374, 213, 429, 210, 426)(159, 375, 214, 430, 207, 423)(165, 381, 209, 425, 166, 382)(167, 383, 215, 431, 216, 432)
	L = (1, 219)(2, 222)(3, 221)(4, 226)(5, 217)(6, 223)(7, 218)(8, 234)(9, 236)(10, 227)(11, 220)(12, 242)(13, 244)(14, 246)(15, 248)(16, 250)(17, 252)(18, 235)(19, 224)(20, 237)(21, 225)(22, 262)(23, 264)(24, 266)(25, 268)(26, 243)(27, 228)(28, 245)(29, 229)(30, 247)(31, 230)(32, 249)(33, 231)(34, 251)(35, 232)(36, 253)(37, 233)(38, 241)(39, 289)(40, 291)(41, 293)(42, 295)(43, 297)(44, 299)(45, 301)(46, 263)(47, 238)(48, 265)(49, 239)(50, 267)(51, 240)(52, 254)(53, 261)(54, 314)(55, 316)(56, 318)(57, 320)(58, 322)(59, 324)(60, 326)(61, 328)(62, 330)(63, 332)(64, 334)(65, 336)(66, 281)(67, 337)(68, 339)(69, 341)(70, 343)(71, 345)(72, 347)(73, 290)(74, 255)(75, 292)(76, 256)(77, 294)(78, 257)(79, 296)(80, 258)(81, 298)(82, 259)(83, 300)(84, 260)(85, 269)(86, 367)(87, 369)(88, 371)(89, 372)(90, 374)(91, 375)(92, 307)(93, 376)(94, 378)(95, 380)(96, 382)(97, 384)(98, 315)(99, 270)(100, 317)(101, 271)(102, 319)(103, 272)(104, 321)(105, 273)(106, 323)(107, 274)(108, 325)(109, 275)(110, 327)(111, 276)(112, 329)(113, 277)(114, 331)(115, 278)(116, 333)(117, 279)(118, 335)(119, 280)(120, 282)(121, 338)(122, 283)(123, 340)(124, 284)(125, 342)(126, 285)(127, 344)(128, 286)(129, 346)(130, 287)(131, 348)(132, 288)(133, 413)(134, 408)(135, 419)(136, 421)(137, 352)(138, 411)(139, 422)(140, 401)(141, 416)(142, 304)(143, 424)(144, 400)(145, 418)(146, 361)(147, 425)(148, 306)(149, 426)(150, 403)(151, 368)(152, 302)(153, 370)(154, 303)(155, 358)(156, 373)(157, 305)(158, 364)(159, 308)(160, 377)(161, 309)(162, 379)(163, 310)(164, 381)(165, 311)(166, 383)(167, 312)(168, 385)(169, 313)(170, 420)(171, 412)(172, 387)(173, 404)(174, 431)(175, 430)(176, 349)(177, 359)(178, 354)(179, 415)(180, 395)(181, 429)(182, 351)(183, 360)(184, 399)(185, 423)(186, 355)(187, 427)(188, 432)(189, 357)(190, 386)(191, 350)(192, 407)(193, 391)(194, 363)(195, 394)(196, 388)(197, 392)(198, 365)(199, 396)(200, 405)(201, 390)(202, 362)(203, 398)(204, 406)(205, 353)(206, 402)(207, 356)(208, 393)(209, 410)(210, 414)(211, 366)(212, 397)(213, 428)(214, 409)(215, 417)(216, 389)
	local type(s) :: { ( 3, 4, 3, 4, 3, 4 ) }
Outer automorphisms :: chiral
Transitivity :: ET+ VT+
Graph:: simple
	v = 72 e = 216 f = 126
	degree seq :: [ 6^72 ]

E10.897 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {3, 3, 4})
Quotient :: edge
Aut^+ = ((C3 x C3) : Q8) : C3 (small group id <216, 153>)
Aut   = (((C3 x C3) : Q8) : C3) : C2 (small group id <432, 734>)
|r| :: 2
Presentation :: [ F^2, T1^3, T2^3, (F * T1)^2, (F * T2)^2, (T1 * T2)^4, (T2 * T1^-1)^6, T2 * T1 * T2 * T1^-1 * T2^-1 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2^-1 * T1^-1 ]
Map:: polyhedral non-degenerate
	R = (1, 3, 5)(2, 6, 7)(4, 10, 11)(8, 18, 19)(9, 20, 21)(12, 26, 27)(13, 28, 29)(14, 30, 31)(15, 32, 33)(16, 34, 35)(17, 36, 37)(22, 46, 47)(23, 48, 49)(24, 50, 51)(25, 52, 38)(39, 73, 74)(40, 75, 76)(41, 77, 78)(42, 79, 80)(43, 81, 82)(44, 83, 84)(45, 85, 53)(54, 98, 99)(55, 100, 101)(56, 102, 103)(57, 104, 105)(58, 106, 107)(59, 108, 109)(60, 110, 111)(61, 112, 113)(62, 114, 115)(63, 116, 117)(64, 118, 119)(65, 120, 66)(67, 121, 122)(68, 123, 124)(69, 125, 126)(70, 127, 128)(71, 129, 130)(72, 131, 132)(86, 135, 146)(87, 147, 148)(88, 149, 150)(89, 151, 139)(90, 138, 152)(91, 145, 92)(93, 153, 154)(94, 155, 156)(95, 140, 157)(96, 158, 159)(97, 160, 161)(133, 175, 176)(134, 177, 178)(136, 179, 180)(137, 181, 182)(141, 183, 184)(142, 185, 186)(143, 187, 188)(144, 189, 190)(162, 191, 192)(163, 193, 194)(164, 195, 196)(165, 197, 198)(166, 199, 200)(167, 201, 202)(168, 203, 204)(169, 205, 206)(170, 207, 208)(171, 209, 210)(172, 211, 212)(173, 213, 214)(174, 215, 216)(217, 218, 220)(219, 224, 225)(221, 228, 229)(222, 230, 231)(223, 232, 233)(226, 238, 239)(227, 240, 241)(234, 254, 255)(235, 256, 257)(236, 258, 259)(237, 260, 261)(242, 269, 270)(243, 271, 272)(244, 273, 274)(245, 275, 246)(247, 276, 277)(248, 278, 279)(249, 280, 281)(250, 282, 283)(251, 284, 285)(252, 286, 287)(253, 288, 262)(263, 302, 303)(264, 304, 305)(265, 306, 307)(266, 308, 309)(267, 310, 311)(268, 312, 313)(289, 345, 349)(290, 350, 327)(291, 326, 351)(292, 348, 352)(293, 353, 354)(294, 355, 295)(296, 356, 357)(297, 358, 340)(298, 330, 329)(299, 328, 359)(300, 360, 337)(301, 336, 361)(314, 368, 378)(315, 379, 375)(316, 374, 373)(317, 367, 380)(318, 381, 331)(319, 339, 320)(321, 338, 382)(322, 383, 347)(323, 346, 377)(324, 376, 384)(325, 385, 362)(332, 386, 372)(333, 365, 364)(334, 363, 387)(335, 388, 369)(341, 389, 366)(342, 371, 343)(344, 370, 390)(391, 432, 406)(392, 401, 400)(393, 399, 424)(394, 427, 403)(395, 429, 402)(396, 405, 397)(398, 404, 426)(407, 425, 422)(408, 417, 416)(409, 415, 431)(410, 428, 419)(411, 430, 418)(412, 421, 413)(414, 420, 423)
	L = (1, 217)(2, 218)(3, 219)(4, 220)(5, 221)(6, 222)(7, 223)(8, 224)(9, 225)(10, 226)(11, 227)(12, 228)(13, 229)(14, 230)(15, 231)(16, 232)(17, 233)(18, 234)(19, 235)(20, 236)(21, 237)(22, 238)(23, 239)(24, 240)(25, 241)(26, 242)(27, 243)(28, 244)(29, 245)(30, 246)(31, 247)(32, 248)(33, 249)(34, 250)(35, 251)(36, 252)(37, 253)(38, 254)(39, 255)(40, 256)(41, 257)(42, 258)(43, 259)(44, 260)(45, 261)(46, 262)(47, 263)(48, 264)(49, 265)(50, 266)(51, 267)(52, 268)(53, 269)(54, 270)(55, 271)(56, 272)(57, 273)(58, 274)(59, 275)(60, 276)(61, 277)(62, 278)(63, 279)(64, 280)(65, 281)(66, 282)(67, 283)(68, 284)(69, 285)(70, 286)(71, 287)(72, 288)(73, 289)(74, 290)(75, 291)(76, 292)(77, 293)(78, 294)(79, 295)(80, 296)(81, 297)(82, 298)(83, 299)(84, 300)(85, 301)(86, 302)(87, 303)(88, 304)(89, 305)(90, 306)(91, 307)(92, 308)(93, 309)(94, 310)(95, 311)(96, 312)(97, 313)(98, 314)(99, 315)(100, 316)(101, 317)(102, 318)(103, 319)(104, 320)(105, 321)(106, 322)(107, 323)(108, 324)(109, 325)(110, 326)(111, 327)(112, 328)(113, 329)(114, 330)(115, 331)(116, 332)(117, 333)(118, 334)(119, 335)(120, 336)(121, 337)(122, 338)(123, 339)(124, 340)(125, 341)(126, 342)(127, 343)(128, 344)(129, 345)(130, 346)(131, 347)(132, 348)(133, 349)(134, 350)(135, 351)(136, 352)(137, 353)(138, 354)(139, 355)(140, 356)(141, 357)(142, 358)(143, 359)(144, 360)(145, 361)(146, 362)(147, 363)(148, 364)(149, 365)(150, 366)(151, 367)(152, 368)(153, 369)(154, 370)(155, 371)(156, 372)(157, 373)(158, 374)(159, 375)(160, 376)(161, 377)(162, 378)(163, 379)(164, 380)(165, 381)(166, 382)(167, 383)(168, 384)(169, 385)(170, 386)(171, 387)(172, 388)(173, 389)(174, 390)(175, 391)(176, 392)(177, 393)(178, 394)(179, 395)(180, 396)(181, 397)(182, 398)(183, 399)(184, 400)(185, 401)(186, 402)(187, 403)(188, 404)(189, 405)(190, 406)(191, 407)(192, 408)(193, 409)(194, 410)(195, 411)(196, 412)(197, 413)(198, 414)(199, 415)(200, 416)(201, 417)(202, 418)(203, 419)(204, 420)(205, 421)(206, 422)(207, 423)(208, 424)(209, 425)(210, 426)(211, 427)(212, 428)(213, 429)(214, 430)(215, 431)(216, 432)
	local type(s) :: { ( 8^3 ) }
Outer automorphisms :: reflexible
Dual of E10.902
Transitivity :: ET+
Graph:: simple bipartite
	v = 144 e = 216 f = 54
	degree seq :: [ 3^144 ]

E10.898 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {3, 3, 4})
Quotient :: edge
Aut^+ = ((C3 x C3) : Q8) : C3 (small group id <216, 153>)
Aut   = (((C3 x C3) : Q8) : C3) : C2 (small group id <432, 734>)
|r| :: 2
Presentation :: [ F^2, T1^3, T2^4, (F * T1)^2, (F * T2)^2, (T1^-1 * T2^-1)^3, T1 * T2^-1 * T1^-1 * T2^3 * T1^-1 * T2^-1 * T1, T1 * T2^-1 * T1^-1 * T2 * T1^-1 * T2^2 * T1^-1 * T2 * T1^-1 * T2^-1, (T1^-1 * T2)^6 ]
Map:: polyhedral non-degenerate
	R = (1, 3, 9, 5)(2, 6, 16, 7)(4, 11, 27, 12)(8, 20, 41, 21)(10, 24, 49, 25)(13, 30, 59, 31)(14, 32, 33, 15)(17, 36, 72, 37)(18, 38, 75, 39)(19, 40, 52, 26)(22, 44, 86, 45)(23, 46, 90, 47)(28, 55, 106, 56)(29, 57, 109, 58)(34, 67, 126, 68)(35, 69, 129, 70)(42, 83, 80, 84)(43, 85, 92, 48)(50, 95, 158, 96)(51, 97, 159, 98)(53, 101, 148, 102)(54, 103, 152, 104)(60, 115, 170, 116)(61, 117, 172, 118)(62, 119, 120, 63)(64, 121, 99, 122)(65, 123, 82, 124)(66, 125, 94, 71)(73, 133, 183, 134)(74, 135, 184, 136)(76, 91, 153, 138)(77, 139, 186, 140)(78, 141, 142, 79)(81, 112, 113, 143)(87, 108, 147, 149)(88, 150, 151, 89)(93, 155, 114, 156)(100, 161, 132, 105)(107, 164, 201, 165)(110, 130, 181, 167)(111, 168, 202, 169)(127, 179, 180, 128)(131, 182, 137, 173)(144, 187, 214, 188)(145, 189, 190, 146)(154, 196, 166, 157)(160, 178, 208, 198)(162, 199, 200, 163)(171, 205, 207, 177)(174, 206, 204, 175)(176, 191, 213, 185)(192, 203, 215, 193)(194, 209, 197, 195)(210, 216, 212, 211)(217, 218, 220)(219, 224, 226)(221, 229, 230)(222, 231, 233)(223, 234, 235)(225, 238, 239)(227, 242, 244)(228, 245, 236)(232, 250, 251)(237, 258, 259)(240, 264, 266)(241, 267, 260)(243, 269, 270)(246, 263, 276)(247, 277, 278)(248, 279, 280)(249, 281, 282)(252, 287, 289)(253, 290, 283)(254, 286, 292)(255, 293, 294)(256, 295, 296)(257, 297, 298)(261, 303, 304)(262, 305, 307)(265, 309, 310)(268, 315, 316)(271, 321, 323)(272, 324, 317)(273, 320, 326)(274, 327, 328)(275, 329, 330)(284, 314, 343)(285, 344, 346)(288, 347, 348)(291, 335, 353)(299, 339, 338)(300, 360, 361)(301, 362, 363)(302, 342, 364)(306, 345, 368)(308, 322, 370)(311, 373, 356)(312, 333, 371)(313, 341, 376)(318, 352, 378)(319, 379, 331)(325, 357, 382)(332, 387, 359)(334, 380, 389)(336, 354, 390)(337, 391, 392)(340, 393, 394)(349, 372, 385)(350, 355, 398)(351, 377, 401)(358, 383, 403)(365, 407, 408)(366, 409, 388)(367, 374, 410)(369, 411, 404)(375, 405, 413)(381, 384, 412)(386, 419, 420)(395, 425, 402)(396, 399, 426)(397, 427, 423)(400, 424, 428)(406, 414, 429)(415, 432, 418)(416, 417, 431)(421, 422, 430)
	L = (1, 217)(2, 218)(3, 219)(4, 220)(5, 221)(6, 222)(7, 223)(8, 224)(9, 225)(10, 226)(11, 227)(12, 228)(13, 229)(14, 230)(15, 231)(16, 232)(17, 233)(18, 234)(19, 235)(20, 236)(21, 237)(22, 238)(23, 239)(24, 240)(25, 241)(26, 242)(27, 243)(28, 244)(29, 245)(30, 246)(31, 247)(32, 248)(33, 249)(34, 250)(35, 251)(36, 252)(37, 253)(38, 254)(39, 255)(40, 256)(41, 257)(42, 258)(43, 259)(44, 260)(45, 261)(46, 262)(47, 263)(48, 264)(49, 265)(50, 266)(51, 267)(52, 268)(53, 269)(54, 270)(55, 271)(56, 272)(57, 273)(58, 274)(59, 275)(60, 276)(61, 277)(62, 278)(63, 279)(64, 280)(65, 281)(66, 282)(67, 283)(68, 284)(69, 285)(70, 286)(71, 287)(72, 288)(73, 289)(74, 290)(75, 291)(76, 292)(77, 293)(78, 294)(79, 295)(80, 296)(81, 297)(82, 298)(83, 299)(84, 300)(85, 301)(86, 302)(87, 303)(88, 304)(89, 305)(90, 306)(91, 307)(92, 308)(93, 309)(94, 310)(95, 311)(96, 312)(97, 313)(98, 314)(99, 315)(100, 316)(101, 317)(102, 318)(103, 319)(104, 320)(105, 321)(106, 322)(107, 323)(108, 324)(109, 325)(110, 326)(111, 327)(112, 328)(113, 329)(114, 330)(115, 331)(116, 332)(117, 333)(118, 334)(119, 335)(120, 336)(121, 337)(122, 338)(123, 339)(124, 340)(125, 341)(126, 342)(127, 343)(128, 344)(129, 345)(130, 346)(131, 347)(132, 348)(133, 349)(134, 350)(135, 351)(136, 352)(137, 353)(138, 354)(139, 355)(140, 356)(141, 357)(142, 358)(143, 359)(144, 360)(145, 361)(146, 362)(147, 363)(148, 364)(149, 365)(150, 366)(151, 367)(152, 368)(153, 369)(154, 370)(155, 371)(156, 372)(157, 373)(158, 374)(159, 375)(160, 376)(161, 377)(162, 378)(163, 379)(164, 380)(165, 381)(166, 382)(167, 383)(168, 384)(169, 385)(170, 386)(171, 387)(172, 388)(173, 389)(174, 390)(175, 391)(176, 392)(177, 393)(178, 394)(179, 395)(180, 396)(181, 397)(182, 398)(183, 399)(184, 400)(185, 401)(186, 402)(187, 403)(188, 404)(189, 405)(190, 406)(191, 407)(192, 408)(193, 409)(194, 410)(195, 411)(196, 412)(197, 413)(198, 414)(199, 415)(200, 416)(201, 417)(202, 418)(203, 419)(204, 420)(205, 421)(206, 422)(207, 423)(208, 424)(209, 425)(210, 426)(211, 427)(212, 428)(213, 429)(214, 430)(215, 431)(216, 432)
	local type(s) :: { ( 6^3 ), ( 6^4 ) }
Outer automorphisms :: reflexible
Dual of E10.900
Transitivity :: ET+
Graph:: simple bipartite
	v = 126 e = 216 f = 72
	degree seq :: [ 3^72, 4^54 ]

E10.899 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {3, 3, 4})
Quotient :: edge
Aut^+ = ((C3 x C3) : Q8) : C3 (small group id <216, 153>)
Aut   = (((C3 x C3) : Q8) : C3) : C2 (small group id <432, 734>)
|r| :: 2
Presentation :: [ F^2, T1^3, T2^4, (F * T1)^2, (F * T2)^2, (T2^-1 * T1^-1)^3, T2^-1 * T1^-1 * T2 * T1^-1 * T2^2 * T1 * T2^-1 * T1 * T2^-1, (T2 * T1^-1)^6 ]
Map:: polyhedral non-degenerate
	R = (1, 3, 9, 5)(2, 6, 16, 7)(4, 11, 27, 12)(8, 20, 41, 21)(10, 24, 49, 25)(13, 30, 59, 31)(14, 32, 33, 15)(17, 36, 72, 37)(18, 38, 75, 39)(19, 40, 52, 26)(22, 44, 86, 45)(23, 46, 89, 47)(28, 55, 90, 56)(29, 57, 106, 58)(34, 67, 118, 68)(35, 69, 120, 70)(42, 83, 61, 84)(43, 85, 91, 48)(50, 93, 64, 94)(51, 95, 148, 96)(53, 99, 135, 100)(54, 101, 155, 102)(60, 111, 164, 112)(62, 113, 114, 63)(65, 115, 77, 116)(66, 117, 121, 71)(73, 123, 80, 124)(74, 125, 169, 126)(76, 127, 183, 128)(78, 129, 130, 79)(81, 109, 161, 131)(82, 132, 104, 133)(87, 140, 141, 88)(92, 119, 173, 145)(97, 152, 108, 153)(98, 154, 156, 103)(105, 157, 188, 158)(107, 159, 138, 160)(110, 162, 176, 122)(134, 191, 210, 167)(136, 192, 193, 137)(139, 151, 200, 171)(142, 190, 207, 163)(143, 195, 150, 196)(144, 197, 186, 146)(147, 170, 211, 182)(149, 198, 185, 199)(165, 180, 168, 174)(166, 208, 194, 209)(172, 181, 215, 201)(175, 212, 206, 177)(178, 189, 216, 204)(179, 213, 205, 214)(184, 203, 187, 202)(217, 218, 220)(219, 224, 226)(221, 229, 230)(222, 231, 233)(223, 234, 235)(225, 238, 239)(227, 242, 244)(228, 245, 236)(232, 250, 251)(237, 258, 259)(240, 264, 266)(241, 267, 260)(243, 269, 270)(246, 263, 276)(247, 277, 278)(248, 279, 280)(249, 281, 282)(252, 287, 289)(253, 290, 283)(254, 286, 292)(255, 293, 294)(256, 295, 296)(257, 297, 298)(261, 291, 303)(262, 304, 306)(265, 285, 308)(268, 313, 314)(271, 319, 320)(272, 321, 315)(273, 318, 323)(274, 324, 325)(275, 326, 316)(284, 322, 335)(288, 317, 338)(299, 349, 350)(300, 351, 352)(301, 353, 354)(302, 355, 332)(305, 348, 358)(307, 359, 360)(309, 362, 331)(310, 363, 336)(311, 361, 365)(312, 366, 367)(327, 379, 381)(328, 382, 378)(329, 383, 384)(330, 385, 386)(333, 387, 380)(334, 388, 369)(337, 390, 391)(339, 393, 368)(340, 394, 371)(341, 392, 395)(342, 396, 397)(343, 398, 400)(344, 401, 356)(345, 402, 403)(346, 404, 405)(347, 364, 406)(357, 410, 373)(370, 417, 399)(372, 418, 407)(374, 419, 408)(375, 420, 411)(376, 421, 389)(377, 422, 412)(409, 427, 430)(413, 428, 426)(414, 429, 425)(415, 431, 423)(416, 432, 424)
	L = (1, 217)(2, 218)(3, 219)(4, 220)(5, 221)(6, 222)(7, 223)(8, 224)(9, 225)(10, 226)(11, 227)(12, 228)(13, 229)(14, 230)(15, 231)(16, 232)(17, 233)(18, 234)(19, 235)(20, 236)(21, 237)(22, 238)(23, 239)(24, 240)(25, 241)(26, 242)(27, 243)(28, 244)(29, 245)(30, 246)(31, 247)(32, 248)(33, 249)(34, 250)(35, 251)(36, 252)(37, 253)(38, 254)(39, 255)(40, 256)(41, 257)(42, 258)(43, 259)(44, 260)(45, 261)(46, 262)(47, 263)(48, 264)(49, 265)(50, 266)(51, 267)(52, 268)(53, 269)(54, 270)(55, 271)(56, 272)(57, 273)(58, 274)(59, 275)(60, 276)(61, 277)(62, 278)(63, 279)(64, 280)(65, 281)(66, 282)(67, 283)(68, 284)(69, 285)(70, 286)(71, 287)(72, 288)(73, 289)(74, 290)(75, 291)(76, 292)(77, 293)(78, 294)(79, 295)(80, 296)(81, 297)(82, 298)(83, 299)(84, 300)(85, 301)(86, 302)(87, 303)(88, 304)(89, 305)(90, 306)(91, 307)(92, 308)(93, 309)(94, 310)(95, 311)(96, 312)(97, 313)(98, 314)(99, 315)(100, 316)(101, 317)(102, 318)(103, 319)(104, 320)(105, 321)(106, 322)(107, 323)(108, 324)(109, 325)(110, 326)(111, 327)(112, 328)(113, 329)(114, 330)(115, 331)(116, 332)(117, 333)(118, 334)(119, 335)(120, 336)(121, 337)(122, 338)(123, 339)(124, 340)(125, 341)(126, 342)(127, 343)(128, 344)(129, 345)(130, 346)(131, 347)(132, 348)(133, 349)(134, 350)(135, 351)(136, 352)(137, 353)(138, 354)(139, 355)(140, 356)(141, 357)(142, 358)(143, 359)(144, 360)(145, 361)(146, 362)(147, 363)(148, 364)(149, 365)(150, 366)(151, 367)(152, 368)(153, 369)(154, 370)(155, 371)(156, 372)(157, 373)(158, 374)(159, 375)(160, 376)(161, 377)(162, 378)(163, 379)(164, 380)(165, 381)(166, 382)(167, 383)(168, 384)(169, 385)(170, 386)(171, 387)(172, 388)(173, 389)(174, 390)(175, 391)(176, 392)(177, 393)(178, 394)(179, 395)(180, 396)(181, 397)(182, 398)(183, 399)(184, 400)(185, 401)(186, 402)(187, 403)(188, 404)(189, 405)(190, 406)(191, 407)(192, 408)(193, 409)(194, 410)(195, 411)(196, 412)(197, 413)(198, 414)(199, 415)(200, 416)(201, 417)(202, 418)(203, 419)(204, 420)(205, 421)(206, 422)(207, 423)(208, 424)(209, 425)(210, 426)(211, 427)(212, 428)(213, 429)(214, 430)(215, 431)(216, 432)
	local type(s) :: { ( 6^3 ), ( 6^4 ) }
Outer automorphisms :: reflexible
Dual of E10.901
Transitivity :: ET+
Graph:: simple bipartite
	v = 126 e = 216 f = 72
	degree seq :: [ 3^72, 4^54 ]

E10.900 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {3, 3, 4})
Quotient :: loop
Aut^+ = ((C3 x C3) : Q8) : C3 (small group id <216, 153>)
Aut   = (((C3 x C3) : Q8) : C3) : C2 (small group id <432, 734>)
|r| :: 2
Presentation :: [ F^2, T1^3, T2^3, (F * T1)^2, (F * T2)^2, (T1 * T2)^4, (T2 * T1^-1)^6, T2 * T1 * T2 * T1^-1 * T2^-1 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2^-1 * T1^-1 ]
Map:: polyhedral non-degenerate
	R = (1, 217, 3, 219, 5, 221)(2, 218, 6, 222, 7, 223)(4, 220, 10, 226, 11, 227)(8, 224, 18, 234, 19, 235)(9, 225, 20, 236, 21, 237)(12, 228, 26, 242, 27, 243)(13, 229, 28, 244, 29, 245)(14, 230, 30, 246, 31, 247)(15, 231, 32, 248, 33, 249)(16, 232, 34, 250, 35, 251)(17, 233, 36, 252, 37, 253)(22, 238, 46, 262, 47, 263)(23, 239, 48, 264, 49, 265)(24, 240, 50, 266, 51, 267)(25, 241, 52, 268, 38, 254)(39, 255, 73, 289, 74, 290)(40, 256, 75, 291, 76, 292)(41, 257, 77, 293, 78, 294)(42, 258, 79, 295, 80, 296)(43, 259, 81, 297, 82, 298)(44, 260, 83, 299, 84, 300)(45, 261, 85, 301, 53, 269)(54, 270, 98, 314, 99, 315)(55, 271, 100, 316, 101, 317)(56, 272, 102, 318, 103, 319)(57, 273, 104, 320, 105, 321)(58, 274, 106, 322, 107, 323)(59, 275, 108, 324, 109, 325)(60, 276, 110, 326, 111, 327)(61, 277, 112, 328, 113, 329)(62, 278, 114, 330, 115, 331)(63, 279, 116, 332, 117, 333)(64, 280, 118, 334, 119, 335)(65, 281, 120, 336, 66, 282)(67, 283, 121, 337, 122, 338)(68, 284, 123, 339, 124, 340)(69, 285, 125, 341, 126, 342)(70, 286, 127, 343, 128, 344)(71, 287, 129, 345, 130, 346)(72, 288, 131, 347, 132, 348)(86, 302, 135, 351, 146, 362)(87, 303, 147, 363, 148, 364)(88, 304, 149, 365, 150, 366)(89, 305, 151, 367, 139, 355)(90, 306, 138, 354, 152, 368)(91, 307, 145, 361, 92, 308)(93, 309, 153, 369, 154, 370)(94, 310, 155, 371, 156, 372)(95, 311, 140, 356, 157, 373)(96, 312, 158, 374, 159, 375)(97, 313, 160, 376, 161, 377)(133, 349, 175, 391, 176, 392)(134, 350, 177, 393, 178, 394)(136, 352, 179, 395, 180, 396)(137, 353, 181, 397, 182, 398)(141, 357, 183, 399, 184, 400)(142, 358, 185, 401, 186, 402)(143, 359, 187, 403, 188, 404)(144, 360, 189, 405, 190, 406)(162, 378, 191, 407, 192, 408)(163, 379, 193, 409, 194, 410)(164, 380, 195, 411, 196, 412)(165, 381, 197, 413, 198, 414)(166, 382, 199, 415, 200, 416)(167, 383, 201, 417, 202, 418)(168, 384, 203, 419, 204, 420)(169, 385, 205, 421, 206, 422)(170, 386, 207, 423, 208, 424)(171, 387, 209, 425, 210, 426)(172, 388, 211, 427, 212, 428)(173, 389, 213, 429, 214, 430)(174, 390, 215, 431, 216, 432)
	L = (1, 218)(2, 220)(3, 224)(4, 217)(5, 228)(6, 230)(7, 232)(8, 225)(9, 219)(10, 238)(11, 240)(12, 229)(13, 221)(14, 231)(15, 222)(16, 233)(17, 223)(18, 254)(19, 256)(20, 258)(21, 260)(22, 239)(23, 226)(24, 241)(25, 227)(26, 269)(27, 271)(28, 273)(29, 275)(30, 245)(31, 276)(32, 278)(33, 280)(34, 282)(35, 284)(36, 286)(37, 288)(38, 255)(39, 234)(40, 257)(41, 235)(42, 259)(43, 236)(44, 261)(45, 237)(46, 253)(47, 302)(48, 304)(49, 306)(50, 308)(51, 310)(52, 312)(53, 270)(54, 242)(55, 272)(56, 243)(57, 274)(58, 244)(59, 246)(60, 277)(61, 247)(62, 279)(63, 248)(64, 281)(65, 249)(66, 283)(67, 250)(68, 285)(69, 251)(70, 287)(71, 252)(72, 262)(73, 345)(74, 350)(75, 326)(76, 348)(77, 353)(78, 355)(79, 294)(80, 356)(81, 358)(82, 330)(83, 328)(84, 360)(85, 336)(86, 303)(87, 263)(88, 305)(89, 264)(90, 307)(91, 265)(92, 309)(93, 266)(94, 311)(95, 267)(96, 313)(97, 268)(98, 368)(99, 379)(100, 374)(101, 367)(102, 381)(103, 339)(104, 319)(105, 338)(106, 383)(107, 346)(108, 376)(109, 385)(110, 351)(111, 290)(112, 359)(113, 298)(114, 329)(115, 318)(116, 386)(117, 365)(118, 363)(119, 388)(120, 361)(121, 300)(122, 382)(123, 320)(124, 297)(125, 389)(126, 371)(127, 342)(128, 370)(129, 349)(130, 377)(131, 322)(132, 352)(133, 289)(134, 327)(135, 291)(136, 292)(137, 354)(138, 293)(139, 295)(140, 357)(141, 296)(142, 340)(143, 299)(144, 337)(145, 301)(146, 325)(147, 387)(148, 333)(149, 364)(150, 341)(151, 380)(152, 378)(153, 335)(154, 390)(155, 343)(156, 332)(157, 316)(158, 373)(159, 315)(160, 384)(161, 323)(162, 314)(163, 375)(164, 317)(165, 331)(166, 321)(167, 347)(168, 324)(169, 362)(170, 372)(171, 334)(172, 369)(173, 366)(174, 344)(175, 432)(176, 401)(177, 399)(178, 427)(179, 429)(180, 405)(181, 396)(182, 404)(183, 424)(184, 392)(185, 400)(186, 395)(187, 394)(188, 426)(189, 397)(190, 391)(191, 425)(192, 417)(193, 415)(194, 428)(195, 430)(196, 421)(197, 412)(198, 420)(199, 431)(200, 408)(201, 416)(202, 411)(203, 410)(204, 423)(205, 413)(206, 407)(207, 414)(208, 393)(209, 422)(210, 398)(211, 403)(212, 419)(213, 402)(214, 418)(215, 409)(216, 406)
	local type(s) :: { ( 3, 4, 3, 4, 3, 4 ) }
Outer automorphisms :: reflexible
Dual of E10.898
Transitivity :: ET+ VT+ AT
Graph:: simple
	v = 72 e = 216 f = 126
	degree seq :: [ 6^72 ]

E10.901 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {3, 3, 4})
Quotient :: loop
Aut^+ = ((C3 x C3) : Q8) : C3 (small group id <216, 153>)
Aut   = (((C3 x C3) : Q8) : C3) : C2 (small group id <432, 734>)
|r| :: 2
Presentation :: [ F^2, T1^3, T2^3, (F * T1)^2, (F * T2)^2, (T2^-1 * T1^-1)^4, (T1 * T2^-1)^6, T1^-1 * T2 * T1^-1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1^-1 * T2 * T1^-1 * T2^-1, T2 * T1 * T2 * T1^-1 * T2 * T1 * T2^-1 * T1^-1 * T2^-1 * T1 * T2^-1 * T1^-1, (T2^-1, T1^-1)^4 ]
Map:: polyhedral non-degenerate
	R = (1, 217, 3, 219, 5, 221)(2, 218, 6, 222, 7, 223)(4, 220, 10, 226, 11, 227)(8, 224, 18, 234, 19, 235)(9, 225, 20, 236, 21, 237)(12, 228, 26, 242, 27, 243)(13, 229, 28, 244, 29, 245)(14, 230, 30, 246, 31, 247)(15, 231, 32, 248, 33, 249)(16, 232, 34, 250, 35, 251)(17, 233, 36, 252, 37, 253)(22, 238, 46, 262, 47, 263)(23, 239, 48, 264, 49, 265)(24, 240, 50, 266, 51, 267)(25, 241, 52, 268, 38, 254)(39, 255, 73, 289, 74, 290)(40, 256, 75, 291, 76, 292)(41, 257, 77, 293, 78, 294)(42, 258, 79, 295, 80, 296)(43, 259, 81, 297, 82, 298)(44, 260, 83, 299, 84, 300)(45, 261, 85, 301, 53, 269)(54, 270, 98, 314, 99, 315)(55, 271, 100, 316, 101, 317)(56, 272, 102, 318, 103, 319)(57, 273, 104, 320, 105, 321)(58, 274, 106, 322, 107, 323)(59, 275, 108, 324, 109, 325)(60, 276, 110, 326, 111, 327)(61, 277, 112, 328, 113, 329)(62, 278, 114, 330, 115, 331)(63, 279, 116, 332, 117, 333)(64, 280, 118, 334, 119, 335)(65, 281, 120, 336, 66, 282)(67, 283, 121, 337, 122, 338)(68, 284, 123, 339, 124, 340)(69, 285, 125, 341, 126, 342)(70, 286, 127, 343, 128, 344)(71, 287, 129, 345, 130, 346)(72, 288, 131, 347, 132, 348)(86, 302, 146, 362, 147, 363)(87, 303, 148, 364, 149, 365)(88, 304, 150, 366, 151, 367)(89, 305, 152, 368, 153, 369)(90, 306, 154, 370, 133, 349)(91, 307, 139, 355, 92, 308)(93, 309, 138, 354, 155, 371)(94, 310, 156, 372, 145, 361)(95, 311, 144, 360, 157, 373)(96, 312, 158, 374, 159, 375)(97, 313, 160, 376, 161, 377)(134, 350, 186, 402, 169, 385)(135, 351, 164, 380, 163, 379)(136, 352, 162, 378, 187, 403)(137, 353, 188, 404, 166, 382)(140, 356, 189, 405, 165, 381)(141, 357, 168, 384, 142, 358)(143, 359, 167, 383, 190, 406)(170, 386, 207, 423, 185, 401)(171, 387, 180, 396, 179, 395)(172, 388, 178, 394, 208, 424)(173, 389, 209, 425, 182, 398)(174, 390, 210, 426, 181, 397)(175, 391, 184, 400, 176, 392)(177, 393, 183, 399, 211, 427)(191, 407, 213, 429, 206, 422)(192, 408, 201, 417, 200, 416)(193, 409, 199, 415, 216, 432)(194, 410, 214, 430, 203, 419)(195, 411, 215, 431, 202, 418)(196, 412, 205, 421, 197, 413)(198, 414, 204, 420, 212, 428)
	L = (1, 218)(2, 220)(3, 224)(4, 217)(5, 228)(6, 230)(7, 232)(8, 225)(9, 219)(10, 238)(11, 240)(12, 229)(13, 221)(14, 231)(15, 222)(16, 233)(17, 223)(18, 254)(19, 256)(20, 258)(21, 260)(22, 239)(23, 226)(24, 241)(25, 227)(26, 269)(27, 271)(28, 273)(29, 275)(30, 245)(31, 276)(32, 278)(33, 280)(34, 282)(35, 284)(36, 286)(37, 288)(38, 255)(39, 234)(40, 257)(41, 235)(42, 259)(43, 236)(44, 261)(45, 237)(46, 253)(47, 302)(48, 304)(49, 306)(50, 308)(51, 310)(52, 312)(53, 270)(54, 242)(55, 272)(56, 243)(57, 274)(58, 244)(59, 246)(60, 277)(61, 247)(62, 279)(63, 248)(64, 281)(65, 249)(66, 283)(67, 250)(68, 285)(69, 251)(70, 287)(71, 252)(72, 262)(73, 330)(74, 343)(75, 341)(76, 350)(77, 352)(78, 347)(79, 294)(80, 346)(81, 355)(82, 356)(83, 358)(84, 326)(85, 361)(86, 303)(87, 263)(88, 305)(89, 264)(90, 307)(91, 265)(92, 309)(93, 266)(94, 311)(95, 267)(96, 313)(97, 268)(98, 331)(99, 378)(100, 380)(101, 368)(102, 335)(103, 348)(104, 319)(105, 382)(106, 384)(107, 337)(108, 366)(109, 374)(110, 360)(111, 386)(112, 388)(113, 289)(114, 329)(115, 377)(116, 301)(117, 390)(118, 392)(119, 362)(120, 317)(121, 367)(122, 394)(123, 396)(124, 297)(125, 349)(126, 290)(127, 342)(128, 398)(129, 400)(130, 354)(131, 295)(132, 320)(133, 291)(134, 351)(135, 292)(136, 353)(137, 293)(138, 296)(139, 340)(140, 357)(141, 298)(142, 359)(143, 299)(144, 300)(145, 332)(146, 318)(147, 407)(148, 409)(149, 324)(150, 365)(151, 323)(152, 336)(153, 411)(154, 413)(155, 415)(156, 417)(157, 325)(158, 373)(159, 419)(160, 421)(161, 314)(162, 379)(163, 315)(164, 381)(165, 316)(166, 383)(167, 321)(168, 385)(169, 322)(170, 387)(171, 327)(172, 389)(173, 328)(174, 391)(175, 333)(176, 393)(177, 334)(178, 395)(179, 338)(180, 397)(181, 339)(182, 399)(183, 344)(184, 401)(185, 345)(186, 428)(187, 429)(188, 425)(189, 426)(190, 432)(191, 408)(192, 363)(193, 410)(194, 364)(195, 412)(196, 369)(197, 414)(198, 370)(199, 416)(200, 371)(201, 418)(202, 372)(203, 420)(204, 375)(205, 422)(206, 376)(207, 406)(208, 402)(209, 430)(210, 431)(211, 403)(212, 424)(213, 427)(214, 404)(215, 405)(216, 423)
	local type(s) :: { ( 3, 4, 3, 4, 3, 4 ) }
Outer automorphisms :: reflexible
Dual of E10.899
Transitivity :: ET+ VT+ AT
Graph:: simple
	v = 72 e = 216 f = 126
	degree seq :: [ 6^72 ]

E10.902 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {3, 3, 4})
Quotient :: loop
Aut^+ = ((C3 x C3) : Q8) : C3 (small group id <216, 153>)
Aut   = (((C3 x C3) : Q8) : C3) : C2 (small group id <432, 734>)
|r| :: 2
Presentation :: [ F^2, T1^3, T2^4, (F * T1)^2, (F * T2)^2, (T1^-1 * T2^-1)^3, T1 * T2^-1 * T1^-1 * T2^3 * T1^-1 * T2^-1 * T1, T1 * T2^-1 * T1^-1 * T2 * T1^-1 * T2^2 * T1^-1 * T2 * T1^-1 * T2^-1, (T1^-1 * T2)^6 ]
Map:: polyhedral non-degenerate
	R = (1, 217, 3, 219, 9, 225, 5, 221)(2, 218, 6, 222, 16, 232, 7, 223)(4, 220, 11, 227, 27, 243, 12, 228)(8, 224, 20, 236, 41, 257, 21, 237)(10, 226, 24, 240, 49, 265, 25, 241)(13, 229, 30, 246, 59, 275, 31, 247)(14, 230, 32, 248, 33, 249, 15, 231)(17, 233, 36, 252, 72, 288, 37, 253)(18, 234, 38, 254, 75, 291, 39, 255)(19, 235, 40, 256, 52, 268, 26, 242)(22, 238, 44, 260, 86, 302, 45, 261)(23, 239, 46, 262, 90, 306, 47, 263)(28, 244, 55, 271, 106, 322, 56, 272)(29, 245, 57, 273, 109, 325, 58, 274)(34, 250, 67, 283, 126, 342, 68, 284)(35, 251, 69, 285, 129, 345, 70, 286)(42, 258, 83, 299, 80, 296, 84, 300)(43, 259, 85, 301, 92, 308, 48, 264)(50, 266, 95, 311, 158, 374, 96, 312)(51, 267, 97, 313, 159, 375, 98, 314)(53, 269, 101, 317, 148, 364, 102, 318)(54, 270, 103, 319, 152, 368, 104, 320)(60, 276, 115, 331, 170, 386, 116, 332)(61, 277, 117, 333, 172, 388, 118, 334)(62, 278, 119, 335, 120, 336, 63, 279)(64, 280, 121, 337, 99, 315, 122, 338)(65, 281, 123, 339, 82, 298, 124, 340)(66, 282, 125, 341, 94, 310, 71, 287)(73, 289, 133, 349, 183, 399, 134, 350)(74, 290, 135, 351, 184, 400, 136, 352)(76, 292, 91, 307, 153, 369, 138, 354)(77, 293, 139, 355, 186, 402, 140, 356)(78, 294, 141, 357, 142, 358, 79, 295)(81, 297, 112, 328, 113, 329, 143, 359)(87, 303, 108, 324, 147, 363, 149, 365)(88, 304, 150, 366, 151, 367, 89, 305)(93, 309, 155, 371, 114, 330, 156, 372)(100, 316, 161, 377, 132, 348, 105, 321)(107, 323, 164, 380, 201, 417, 165, 381)(110, 326, 130, 346, 181, 397, 167, 383)(111, 327, 168, 384, 202, 418, 169, 385)(127, 343, 179, 395, 180, 396, 128, 344)(131, 347, 182, 398, 137, 353, 173, 389)(144, 360, 187, 403, 214, 430, 188, 404)(145, 361, 189, 405, 190, 406, 146, 362)(154, 370, 196, 412, 166, 382, 157, 373)(160, 376, 178, 394, 208, 424, 198, 414)(162, 378, 199, 415, 200, 416, 163, 379)(171, 387, 205, 421, 207, 423, 177, 393)(174, 390, 206, 422, 204, 420, 175, 391)(176, 392, 191, 407, 213, 429, 185, 401)(192, 408, 203, 419, 215, 431, 193, 409)(194, 410, 209, 425, 197, 413, 195, 411)(210, 426, 216, 432, 212, 428, 211, 427)
	L = (1, 218)(2, 220)(3, 224)(4, 217)(5, 229)(6, 231)(7, 234)(8, 226)(9, 238)(10, 219)(11, 242)(12, 245)(13, 230)(14, 221)(15, 233)(16, 250)(17, 222)(18, 235)(19, 223)(20, 228)(21, 258)(22, 239)(23, 225)(24, 264)(25, 267)(26, 244)(27, 269)(28, 227)(29, 236)(30, 263)(31, 277)(32, 279)(33, 281)(34, 251)(35, 232)(36, 287)(37, 290)(38, 286)(39, 293)(40, 295)(41, 297)(42, 259)(43, 237)(44, 241)(45, 303)(46, 305)(47, 276)(48, 266)(49, 309)(50, 240)(51, 260)(52, 315)(53, 270)(54, 243)(55, 321)(56, 324)(57, 320)(58, 327)(59, 329)(60, 246)(61, 278)(62, 247)(63, 280)(64, 248)(65, 282)(66, 249)(67, 253)(68, 314)(69, 344)(70, 292)(71, 289)(72, 347)(73, 252)(74, 283)(75, 335)(76, 254)(77, 294)(78, 255)(79, 296)(80, 256)(81, 298)(82, 257)(83, 339)(84, 360)(85, 362)(86, 342)(87, 304)(88, 261)(89, 307)(90, 345)(91, 262)(92, 322)(93, 310)(94, 265)(95, 373)(96, 333)(97, 341)(98, 343)(99, 316)(100, 268)(101, 272)(102, 352)(103, 379)(104, 326)(105, 323)(106, 370)(107, 271)(108, 317)(109, 357)(110, 273)(111, 328)(112, 274)(113, 330)(114, 275)(115, 319)(116, 387)(117, 371)(118, 380)(119, 353)(120, 354)(121, 391)(122, 299)(123, 338)(124, 393)(125, 376)(126, 364)(127, 284)(128, 346)(129, 368)(130, 285)(131, 348)(132, 288)(133, 372)(134, 355)(135, 377)(136, 378)(137, 291)(138, 390)(139, 398)(140, 311)(141, 382)(142, 383)(143, 332)(144, 361)(145, 300)(146, 363)(147, 301)(148, 302)(149, 407)(150, 409)(151, 374)(152, 306)(153, 411)(154, 308)(155, 312)(156, 385)(157, 356)(158, 410)(159, 405)(160, 313)(161, 401)(162, 318)(163, 331)(164, 389)(165, 384)(166, 325)(167, 403)(168, 412)(169, 349)(170, 419)(171, 359)(172, 366)(173, 334)(174, 336)(175, 392)(176, 337)(177, 394)(178, 340)(179, 425)(180, 399)(181, 427)(182, 350)(183, 426)(184, 424)(185, 351)(186, 395)(187, 358)(188, 369)(189, 413)(190, 414)(191, 408)(192, 365)(193, 388)(194, 367)(195, 404)(196, 381)(197, 375)(198, 429)(199, 432)(200, 417)(201, 431)(202, 415)(203, 420)(204, 386)(205, 422)(206, 430)(207, 397)(208, 428)(209, 402)(210, 396)(211, 423)(212, 400)(213, 406)(214, 421)(215, 416)(216, 418)
	local type(s) :: { ( 3^8 ) }
Outer automorphisms :: reflexible
Dual of E10.897
Transitivity :: ET+ VT+ AT
Graph:: simple
	v = 54 e = 216 f = 144
	degree seq :: [ 8^54 ]

E10.903 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 3, 4})
Quotient :: dipole
Aut^+ = ((C3 x C3) : Q8) : C3 (small group id <216, 153>)
Aut   = (((C3 x C3) : Q8) : C3) : C2 (small group id <432, 734>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1^-1, Y1^3, Y2^3, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, (Y3 * Y2^-1)^4, (Y1^-1 * Y2^-1)^4, Y1 * Y2^-1 * Y3 * Y2^-1 * Y3^-1 * Y1 * Y2^-1 * Y1^-1 * Y2^-1 * Y3^-1, Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y3^-1 * Y2^-1 * Y3^-1 * Y2^-1 * Y3^-1 * Y2^-1, Y1 * Y2^-1 * Y1 * Y2^-1 * Y3 * Y2 * Y3 * Y2^-1 * Y3 * Y2 * Y1^-1 * Y2^-1, Y2 * Y1 * Y2^-1 * Y3 * Y2^-1 * Y1 * Y2^-1 * Y1^-1 * Y2 * Y3^-1 * Y2 * Y1^-1, Y2 * Y1 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3^-1 * Y2 * Y1^-1 * Y2^-1 * Y1^-1, Y3 * Y2 * Y3 * Y2^-1 * Y1 * Y2^-1 * Y3^-1 * Y2^-1 * Y1^-1 * Y2 * Y1^-1 * Y2^-1, Y2 * Y1 * Y2^-1 * Y3 * Y2 * Y1 * Y2^-1 * Y3 * Y2 * Y3^-1 * Y2^-1 * Y1^-1 * Y2 * Y3^-1 * Y2^-1 * Y1^-1 ]
Map::
	R = (1, 217, 2, 218, 4, 220)(3, 219, 8, 224, 9, 225)(5, 221, 12, 228, 13, 229)(6, 222, 14, 230, 15, 231)(7, 223, 16, 232, 17, 233)(10, 226, 22, 238, 23, 239)(11, 227, 24, 240, 25, 241)(18, 234, 38, 254, 39, 255)(19, 235, 40, 256, 41, 257)(20, 236, 42, 258, 43, 259)(21, 237, 44, 260, 45, 261)(26, 242, 53, 269, 54, 270)(27, 243, 55, 271, 56, 272)(28, 244, 57, 273, 58, 274)(29, 245, 59, 275, 30, 246)(31, 247, 60, 276, 61, 277)(32, 248, 62, 278, 63, 279)(33, 249, 64, 280, 65, 281)(34, 250, 66, 282, 67, 283)(35, 251, 68, 284, 69, 285)(36, 252, 70, 286, 71, 287)(37, 253, 72, 288, 46, 262)(47, 263, 86, 302, 87, 303)(48, 264, 88, 304, 89, 305)(49, 265, 90, 306, 91, 307)(50, 266, 92, 308, 93, 309)(51, 267, 94, 310, 95, 311)(52, 268, 96, 312, 97, 313)(73, 289, 114, 330, 113, 329)(74, 290, 127, 343, 126, 342)(75, 291, 125, 341, 133, 349)(76, 292, 134, 350, 135, 351)(77, 293, 136, 352, 137, 353)(78, 294, 131, 347, 79, 295)(80, 296, 130, 346, 138, 354)(81, 297, 139, 355, 124, 340)(82, 298, 140, 356, 141, 357)(83, 299, 142, 358, 143, 359)(84, 300, 110, 326, 144, 360)(85, 301, 145, 361, 116, 332)(98, 314, 115, 331, 161, 377)(99, 315, 162, 378, 163, 379)(100, 316, 164, 380, 165, 381)(101, 317, 152, 368, 120, 336)(102, 318, 119, 335, 146, 362)(103, 319, 132, 348, 104, 320)(105, 321, 166, 382, 167, 383)(106, 322, 168, 384, 169, 385)(107, 323, 121, 337, 151, 367)(108, 324, 150, 366, 149, 365)(109, 325, 158, 374, 157, 373)(111, 327, 170, 386, 171, 387)(112, 328, 172, 388, 173, 389)(117, 333, 174, 390, 175, 391)(118, 334, 176, 392, 177, 393)(122, 338, 178, 394, 179, 395)(123, 339, 180, 396, 181, 397)(128, 344, 182, 398, 183, 399)(129, 345, 184, 400, 185, 401)(147, 363, 191, 407, 192, 408)(148, 364, 193, 409, 194, 410)(153, 369, 195, 411, 196, 412)(154, 370, 197, 413, 198, 414)(155, 371, 199, 415, 200, 416)(156, 372, 201, 417, 202, 418)(159, 375, 203, 419, 204, 420)(160, 376, 205, 421, 206, 422)(186, 402, 212, 428, 208, 424)(187, 403, 213, 429, 211, 427)(188, 404, 209, 425, 214, 430)(189, 405, 210, 426, 215, 431)(190, 406, 216, 432, 207, 423)(433, 649, 435, 651, 437, 653)(434, 650, 438, 654, 439, 655)(436, 652, 442, 658, 443, 659)(440, 656, 450, 666, 451, 667)(441, 657, 452, 668, 453, 669)(444, 660, 458, 674, 459, 675)(445, 661, 460, 676, 461, 677)(446, 662, 462, 678, 463, 679)(447, 663, 464, 680, 465, 681)(448, 664, 466, 682, 467, 683)(449, 665, 468, 684, 469, 685)(454, 670, 478, 694, 479, 695)(455, 671, 480, 696, 481, 697)(456, 672, 482, 698, 483, 699)(457, 673, 484, 700, 470, 686)(471, 687, 505, 721, 506, 722)(472, 688, 507, 723, 508, 724)(473, 689, 509, 725, 510, 726)(474, 690, 511, 727, 512, 728)(475, 691, 513, 729, 514, 730)(476, 692, 515, 731, 516, 732)(477, 693, 517, 733, 485, 701)(486, 702, 530, 746, 531, 747)(487, 703, 532, 748, 533, 749)(488, 704, 534, 750, 535, 751)(489, 705, 536, 752, 537, 753)(490, 706, 538, 754, 539, 755)(491, 707, 540, 756, 541, 757)(492, 708, 542, 758, 543, 759)(493, 709, 544, 760, 545, 761)(494, 710, 546, 762, 547, 763)(495, 711, 548, 764, 549, 765)(496, 712, 550, 766, 551, 767)(497, 713, 552, 768, 498, 714)(499, 715, 553, 769, 554, 770)(500, 716, 555, 771, 556, 772)(501, 717, 557, 773, 558, 774)(502, 718, 559, 775, 560, 776)(503, 719, 561, 777, 562, 778)(504, 720, 563, 779, 564, 780)(518, 734, 578, 794, 579, 795)(519, 735, 580, 796, 581, 797)(520, 736, 582, 798, 583, 799)(521, 737, 584, 800, 585, 801)(522, 738, 586, 802, 565, 781)(523, 739, 571, 787, 524, 740)(525, 741, 570, 786, 587, 803)(526, 742, 588, 804, 577, 793)(527, 743, 576, 792, 589, 805)(528, 744, 590, 806, 591, 807)(529, 745, 592, 808, 593, 809)(566, 782, 618, 834, 601, 817)(567, 783, 596, 812, 595, 811)(568, 784, 594, 810, 619, 835)(569, 785, 620, 836, 598, 814)(572, 788, 621, 837, 597, 813)(573, 789, 600, 816, 574, 790)(575, 791, 599, 815, 622, 838)(602, 818, 639, 855, 617, 833)(603, 819, 612, 828, 611, 827)(604, 820, 610, 826, 640, 856)(605, 821, 641, 857, 614, 830)(606, 822, 642, 858, 613, 829)(607, 823, 616, 832, 608, 824)(609, 825, 615, 831, 643, 859)(623, 839, 645, 861, 638, 854)(624, 840, 633, 849, 632, 848)(625, 841, 631, 847, 648, 864)(626, 842, 646, 862, 635, 851)(627, 843, 647, 863, 634, 850)(628, 844, 637, 853, 629, 845)(630, 846, 636, 852, 644, 860)
	L = (1, 436)(2, 433)(3, 441)(4, 434)(5, 445)(6, 447)(7, 449)(8, 435)(9, 440)(10, 455)(11, 457)(12, 437)(13, 444)(14, 438)(15, 446)(16, 439)(17, 448)(18, 471)(19, 473)(20, 475)(21, 477)(22, 442)(23, 454)(24, 443)(25, 456)(26, 486)(27, 488)(28, 490)(29, 462)(30, 491)(31, 493)(32, 495)(33, 497)(34, 499)(35, 501)(36, 503)(37, 478)(38, 450)(39, 470)(40, 451)(41, 472)(42, 452)(43, 474)(44, 453)(45, 476)(46, 504)(47, 519)(48, 521)(49, 523)(50, 525)(51, 527)(52, 529)(53, 458)(54, 485)(55, 459)(56, 487)(57, 460)(58, 489)(59, 461)(60, 463)(61, 492)(62, 464)(63, 494)(64, 465)(65, 496)(66, 466)(67, 498)(68, 467)(69, 500)(70, 468)(71, 502)(72, 469)(73, 545)(74, 558)(75, 565)(76, 567)(77, 569)(78, 511)(79, 563)(80, 570)(81, 556)(82, 573)(83, 575)(84, 576)(85, 548)(86, 479)(87, 518)(88, 480)(89, 520)(90, 481)(91, 522)(92, 482)(93, 524)(94, 483)(95, 526)(96, 484)(97, 528)(98, 593)(99, 595)(100, 597)(101, 552)(102, 578)(103, 536)(104, 564)(105, 599)(106, 601)(107, 583)(108, 581)(109, 589)(110, 516)(111, 603)(112, 605)(113, 546)(114, 505)(115, 530)(116, 577)(117, 607)(118, 609)(119, 534)(120, 584)(121, 539)(122, 611)(123, 613)(124, 571)(125, 507)(126, 559)(127, 506)(128, 615)(129, 617)(130, 512)(131, 510)(132, 535)(133, 557)(134, 508)(135, 566)(136, 509)(137, 568)(138, 562)(139, 513)(140, 514)(141, 572)(142, 515)(143, 574)(144, 542)(145, 517)(146, 551)(147, 624)(148, 626)(149, 582)(150, 540)(151, 553)(152, 533)(153, 628)(154, 630)(155, 632)(156, 634)(157, 590)(158, 541)(159, 636)(160, 638)(161, 547)(162, 531)(163, 594)(164, 532)(165, 596)(166, 537)(167, 598)(168, 538)(169, 600)(170, 543)(171, 602)(172, 544)(173, 604)(174, 549)(175, 606)(176, 550)(177, 608)(178, 554)(179, 610)(180, 555)(181, 612)(182, 560)(183, 614)(184, 561)(185, 616)(186, 640)(187, 643)(188, 646)(189, 647)(190, 639)(191, 579)(192, 623)(193, 580)(194, 625)(195, 585)(196, 627)(197, 586)(198, 629)(199, 587)(200, 631)(201, 588)(202, 633)(203, 591)(204, 635)(205, 592)(206, 637)(207, 648)(208, 644)(209, 620)(210, 621)(211, 645)(212, 618)(213, 619)(214, 641)(215, 642)(216, 622)(217, 649)(218, 650)(219, 651)(220, 652)(221, 653)(222, 654)(223, 655)(224, 656)(225, 657)(226, 658)(227, 659)(228, 660)(229, 661)(230, 662)(231, 663)(232, 664)(233, 665)(234, 666)(235, 667)(236, 668)(237, 669)(238, 670)(239, 671)(240, 672)(241, 673)(242, 674)(243, 675)(244, 676)(245, 677)(246, 678)(247, 679)(248, 680)(249, 681)(250, 682)(251, 683)(252, 684)(253, 685)(254, 686)(255, 687)(256, 688)(257, 689)(258, 690)(259, 691)(260, 692)(261, 693)(262, 694)(263, 695)(264, 696)(265, 697)(266, 698)(267, 699)(268, 700)(269, 701)(270, 702)(271, 703)(272, 704)(273, 705)(274, 706)(275, 707)(276, 708)(277, 709)(278, 710)(279, 711)(280, 712)(281, 713)(282, 714)(283, 715)(284, 716)(285, 717)(286, 718)(287, 719)(288, 720)(289, 721)(290, 722)(291, 723)(292, 724)(293, 725)(294, 726)(295, 727)(296, 728)(297, 729)(298, 730)(299, 731)(300, 732)(301, 733)(302, 734)(303, 735)(304, 736)(305, 737)(306, 738)(307, 739)(308, 740)(309, 741)(310, 742)(311, 743)(312, 744)(313, 745)(314, 746)(315, 747)(316, 748)(317, 749)(318, 750)(319, 751)(320, 752)(321, 753)(322, 754)(323, 755)(324, 756)(325, 757)(326, 758)(327, 759)(328, 760)(329, 761)(330, 762)(331, 763)(332, 764)(333, 765)(334, 766)(335, 767)(336, 768)(337, 769)(338, 770)(339, 771)(340, 772)(341, 773)(342, 774)(343, 775)(344, 776)(345, 777)(346, 778)(347, 779)(348, 780)(349, 781)(350, 782)(351, 783)(352, 784)(353, 785)(354, 786)(355, 787)(356, 788)(357, 789)(358, 790)(359, 791)(360, 792)(361, 793)(362, 794)(363, 795)(364, 796)(365, 797)(366, 798)(367, 799)(368, 800)(369, 801)(370, 802)(371, 803)(372, 804)(373, 805)(374, 806)(375, 807)(376, 808)(377, 809)(378, 810)(379, 811)(380, 812)(381, 813)(382, 814)(383, 815)(384, 816)(385, 817)(386, 818)(387, 819)(388, 820)(389, 821)(390, 822)(391, 823)(392, 824)(393, 825)(394, 826)(395, 827)(396, 828)(397, 829)(398, 830)(399, 831)(400, 832)(401, 833)(402, 834)(403, 835)(404, 836)(405, 837)(406, 838)(407, 839)(408, 840)(409, 841)(410, 842)(411, 843)(412, 844)(413, 845)(414, 846)(415, 847)(416, 848)(417, 849)(418, 850)(419, 851)(420, 852)(421, 853)(422, 854)(423, 855)(424, 856)(425, 857)(426, 858)(427, 859)(428, 860)(429, 861)(430, 862)(431, 863)(432, 864)
	local type(s) :: { ( 2, 8, 2, 8, 2, 8 ) }
Outer automorphisms :: reflexible
Dual of E10.908
Graph:: bipartite
	v = 144 e = 432 f = 270
	degree seq :: [ 6^144 ]

E10.904 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 3, 4})
Quotient :: dipole
Aut^+ = ((C3 x C3) : Q8) : C3 (small group id <216, 153>)
Aut   = (((C3 x C3) : Q8) : C3) : C2 (small group id <432, 734>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, Y1^3, Y2^4, (R * Y1)^2, (R * Y3)^2, (Y3^-1 * Y1^-1)^3, (Y1^-1 * Y2^-1)^3, Y1 * Y2^-1 * Y1^-1 * Y2^3 * Y1^-1 * Y2^-1 * Y1, Y1 * Y2^-1 * Y1^-1 * Y2 * Y1^-1 * Y2^2 * Y1^-1 * Y2 * Y1^-1 * Y2^-1, (Y1^-1 * Y2)^6 ]
Map::
	R = (1, 217, 2, 218, 4, 220)(3, 219, 8, 224, 10, 226)(5, 221, 13, 229, 14, 230)(6, 222, 15, 231, 17, 233)(7, 223, 18, 234, 19, 235)(9, 225, 22, 238, 23, 239)(11, 227, 26, 242, 28, 244)(12, 228, 29, 245, 20, 236)(16, 232, 34, 250, 35, 251)(21, 237, 42, 258, 43, 259)(24, 240, 48, 264, 50, 266)(25, 241, 51, 267, 44, 260)(27, 243, 53, 269, 54, 270)(30, 246, 47, 263, 60, 276)(31, 247, 61, 277, 62, 278)(32, 248, 63, 279, 64, 280)(33, 249, 65, 281, 66, 282)(36, 252, 71, 287, 73, 289)(37, 253, 74, 290, 67, 283)(38, 254, 70, 286, 76, 292)(39, 255, 77, 293, 78, 294)(40, 256, 79, 295, 80, 296)(41, 257, 81, 297, 82, 298)(45, 261, 87, 303, 88, 304)(46, 262, 89, 305, 91, 307)(49, 265, 93, 309, 94, 310)(52, 268, 99, 315, 100, 316)(55, 271, 105, 321, 107, 323)(56, 272, 108, 324, 101, 317)(57, 273, 104, 320, 110, 326)(58, 274, 111, 327, 112, 328)(59, 275, 113, 329, 114, 330)(68, 284, 98, 314, 127, 343)(69, 285, 128, 344, 130, 346)(72, 288, 131, 347, 132, 348)(75, 291, 119, 335, 137, 353)(83, 299, 123, 339, 122, 338)(84, 300, 144, 360, 145, 361)(85, 301, 146, 362, 147, 363)(86, 302, 126, 342, 148, 364)(90, 306, 129, 345, 152, 368)(92, 308, 106, 322, 154, 370)(95, 311, 157, 373, 140, 356)(96, 312, 117, 333, 155, 371)(97, 313, 125, 341, 160, 376)(102, 318, 136, 352, 162, 378)(103, 319, 163, 379, 115, 331)(109, 325, 141, 357, 166, 382)(116, 332, 171, 387, 143, 359)(118, 334, 164, 380, 173, 389)(120, 336, 138, 354, 174, 390)(121, 337, 175, 391, 176, 392)(124, 340, 177, 393, 178, 394)(133, 349, 156, 372, 169, 385)(134, 350, 139, 355, 182, 398)(135, 351, 161, 377, 185, 401)(142, 358, 167, 383, 187, 403)(149, 365, 191, 407, 192, 408)(150, 366, 193, 409, 172, 388)(151, 367, 158, 374, 194, 410)(153, 369, 195, 411, 188, 404)(159, 375, 189, 405, 197, 413)(165, 381, 168, 384, 196, 412)(170, 386, 203, 419, 204, 420)(179, 395, 209, 425, 186, 402)(180, 396, 183, 399, 210, 426)(181, 397, 211, 427, 207, 423)(184, 400, 208, 424, 212, 428)(190, 406, 198, 414, 213, 429)(199, 415, 216, 432, 202, 418)(200, 416, 201, 417, 215, 431)(205, 421, 206, 422, 214, 430)(433, 649, 435, 651, 441, 657, 437, 653)(434, 650, 438, 654, 448, 664, 439, 655)(436, 652, 443, 659, 459, 675, 444, 660)(440, 656, 452, 668, 473, 689, 453, 669)(442, 658, 456, 672, 481, 697, 457, 673)(445, 661, 462, 678, 491, 707, 463, 679)(446, 662, 464, 680, 465, 681, 447, 663)(449, 665, 468, 684, 504, 720, 469, 685)(450, 666, 470, 686, 507, 723, 471, 687)(451, 667, 472, 688, 484, 700, 458, 674)(454, 670, 476, 692, 518, 734, 477, 693)(455, 671, 478, 694, 522, 738, 479, 695)(460, 676, 487, 703, 538, 754, 488, 704)(461, 677, 489, 705, 541, 757, 490, 706)(466, 682, 499, 715, 558, 774, 500, 716)(467, 683, 501, 717, 561, 777, 502, 718)(474, 690, 515, 731, 512, 728, 516, 732)(475, 691, 517, 733, 524, 740, 480, 696)(482, 698, 527, 743, 590, 806, 528, 744)(483, 699, 529, 745, 591, 807, 530, 746)(485, 701, 533, 749, 580, 796, 534, 750)(486, 702, 535, 751, 584, 800, 536, 752)(492, 708, 547, 763, 602, 818, 548, 764)(493, 709, 549, 765, 604, 820, 550, 766)(494, 710, 551, 767, 552, 768, 495, 711)(496, 712, 553, 769, 531, 747, 554, 770)(497, 713, 555, 771, 514, 730, 556, 772)(498, 714, 557, 773, 526, 742, 503, 719)(505, 721, 565, 781, 615, 831, 566, 782)(506, 722, 567, 783, 616, 832, 568, 784)(508, 724, 523, 739, 585, 801, 570, 786)(509, 725, 571, 787, 618, 834, 572, 788)(510, 726, 573, 789, 574, 790, 511, 727)(513, 729, 544, 760, 545, 761, 575, 791)(519, 735, 540, 756, 579, 795, 581, 797)(520, 736, 582, 798, 583, 799, 521, 737)(525, 741, 587, 803, 546, 762, 588, 804)(532, 748, 593, 809, 564, 780, 537, 753)(539, 755, 596, 812, 633, 849, 597, 813)(542, 758, 562, 778, 613, 829, 599, 815)(543, 759, 600, 816, 634, 850, 601, 817)(559, 775, 611, 827, 612, 828, 560, 776)(563, 779, 614, 830, 569, 785, 605, 821)(576, 792, 619, 835, 646, 862, 620, 836)(577, 793, 621, 837, 622, 838, 578, 794)(586, 802, 628, 844, 598, 814, 589, 805)(592, 808, 610, 826, 640, 856, 630, 846)(594, 810, 631, 847, 632, 848, 595, 811)(603, 819, 637, 853, 639, 855, 609, 825)(606, 822, 638, 854, 636, 852, 607, 823)(608, 824, 623, 839, 645, 861, 617, 833)(624, 840, 635, 851, 647, 863, 625, 841)(626, 842, 641, 857, 629, 845, 627, 843)(642, 858, 648, 864, 644, 860, 643, 859)
	L = (1, 435)(2, 438)(3, 441)(4, 443)(5, 433)(6, 448)(7, 434)(8, 452)(9, 437)(10, 456)(11, 459)(12, 436)(13, 462)(14, 464)(15, 446)(16, 439)(17, 468)(18, 470)(19, 472)(20, 473)(21, 440)(22, 476)(23, 478)(24, 481)(25, 442)(26, 451)(27, 444)(28, 487)(29, 489)(30, 491)(31, 445)(32, 465)(33, 447)(34, 499)(35, 501)(36, 504)(37, 449)(38, 507)(39, 450)(40, 484)(41, 453)(42, 515)(43, 517)(44, 518)(45, 454)(46, 522)(47, 455)(48, 475)(49, 457)(50, 527)(51, 529)(52, 458)(53, 533)(54, 535)(55, 538)(56, 460)(57, 541)(58, 461)(59, 463)(60, 547)(61, 549)(62, 551)(63, 494)(64, 553)(65, 555)(66, 557)(67, 558)(68, 466)(69, 561)(70, 467)(71, 498)(72, 469)(73, 565)(74, 567)(75, 471)(76, 523)(77, 571)(78, 573)(79, 510)(80, 516)(81, 544)(82, 556)(83, 512)(84, 474)(85, 524)(86, 477)(87, 540)(88, 582)(89, 520)(90, 479)(91, 585)(92, 480)(93, 587)(94, 503)(95, 590)(96, 482)(97, 591)(98, 483)(99, 554)(100, 593)(101, 580)(102, 485)(103, 584)(104, 486)(105, 532)(106, 488)(107, 596)(108, 579)(109, 490)(110, 562)(111, 600)(112, 545)(113, 575)(114, 588)(115, 602)(116, 492)(117, 604)(118, 493)(119, 552)(120, 495)(121, 531)(122, 496)(123, 514)(124, 497)(125, 526)(126, 500)(127, 611)(128, 559)(129, 502)(130, 613)(131, 614)(132, 537)(133, 615)(134, 505)(135, 616)(136, 506)(137, 605)(138, 508)(139, 618)(140, 509)(141, 574)(142, 511)(143, 513)(144, 619)(145, 621)(146, 577)(147, 581)(148, 534)(149, 519)(150, 583)(151, 521)(152, 536)(153, 570)(154, 628)(155, 546)(156, 525)(157, 586)(158, 528)(159, 530)(160, 610)(161, 564)(162, 631)(163, 594)(164, 633)(165, 539)(166, 589)(167, 542)(168, 634)(169, 543)(170, 548)(171, 637)(172, 550)(173, 563)(174, 638)(175, 606)(176, 623)(177, 603)(178, 640)(179, 612)(180, 560)(181, 599)(182, 569)(183, 566)(184, 568)(185, 608)(186, 572)(187, 646)(188, 576)(189, 622)(190, 578)(191, 645)(192, 635)(193, 624)(194, 641)(195, 626)(196, 598)(197, 627)(198, 592)(199, 632)(200, 595)(201, 597)(202, 601)(203, 647)(204, 607)(205, 639)(206, 636)(207, 609)(208, 630)(209, 629)(210, 648)(211, 642)(212, 643)(213, 617)(214, 620)(215, 625)(216, 644)(217, 649)(218, 650)(219, 651)(220, 652)(221, 653)(222, 654)(223, 655)(224, 656)(225, 657)(226, 658)(227, 659)(228, 660)(229, 661)(230, 662)(231, 663)(232, 664)(233, 665)(234, 666)(235, 667)(236, 668)(237, 669)(238, 670)(239, 671)(240, 672)(241, 673)(242, 674)(243, 675)(244, 676)(245, 677)(246, 678)(247, 679)(248, 680)(249, 681)(250, 682)(251, 683)(252, 684)(253, 685)(254, 686)(255, 687)(256, 688)(257, 689)(258, 690)(259, 691)(260, 692)(261, 693)(262, 694)(263, 695)(264, 696)(265, 697)(266, 698)(267, 699)(268, 700)(269, 701)(270, 702)(271, 703)(272, 704)(273, 705)(274, 706)(275, 707)(276, 708)(277, 709)(278, 710)(279, 711)(280, 712)(281, 713)(282, 714)(283, 715)(284, 716)(285, 717)(286, 718)(287, 719)(288, 720)(289, 721)(290, 722)(291, 723)(292, 724)(293, 725)(294, 726)(295, 727)(296, 728)(297, 729)(298, 730)(299, 731)(300, 732)(301, 733)(302, 734)(303, 735)(304, 736)(305, 737)(306, 738)(307, 739)(308, 740)(309, 741)(310, 742)(311, 743)(312, 744)(313, 745)(314, 746)(315, 747)(316, 748)(317, 749)(318, 750)(319, 751)(320, 752)(321, 753)(322, 754)(323, 755)(324, 756)(325, 757)(326, 758)(327, 759)(328, 760)(329, 761)(330, 762)(331, 763)(332, 764)(333, 765)(334, 766)(335, 767)(336, 768)(337, 769)(338, 770)(339, 771)(340, 772)(341, 773)(342, 774)(343, 775)(344, 776)(345, 777)(346, 778)(347, 779)(348, 780)(349, 781)(350, 782)(351, 783)(352, 784)(353, 785)(354, 786)(355, 787)(356, 788)(357, 789)(358, 790)(359, 791)(360, 792)(361, 793)(362, 794)(363, 795)(364, 796)(365, 797)(366, 798)(367, 799)(368, 800)(369, 801)(370, 802)(371, 803)(372, 804)(373, 805)(374, 806)(375, 807)(376, 808)(377, 809)(378, 810)(379, 811)(380, 812)(381, 813)(382, 814)(383, 815)(384, 816)(385, 817)(386, 818)(387, 819)(388, 820)(389, 821)(390, 822)(391, 823)(392, 824)(393, 825)(394, 826)(395, 827)(396, 828)(397, 829)(398, 830)(399, 831)(400, 832)(401, 833)(402, 834)(403, 835)(404, 836)(405, 837)(406, 838)(407, 839)(408, 840)(409, 841)(410, 842)(411, 843)(412, 844)(413, 845)(414, 846)(415, 847)(416, 848)(417, 849)(418, 850)(419, 851)(420, 852)(421, 853)(422, 854)(423, 855)(424, 856)(425, 857)(426, 858)(427, 859)(428, 860)(429, 861)(430, 862)(431, 863)(432, 864)
	local type(s) :: { ( 2, 6, 2, 6, 2, 6 ), ( 2, 6, 2, 6, 2, 6, 2, 6 ) }
Outer automorphisms :: reflexible
Dual of E10.907
Graph:: bipartite
	v = 126 e = 432 f = 288
	degree seq :: [ 6^72, 8^54 ]

E10.905 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 3, 4})
Quotient :: dipole
Aut^+ = ((C3 x C3) : Q8) : C3 (small group id <216, 153>)
Aut   = (((C3 x C3) : Q8) : C3) : C2 (small group id <432, 734>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, Y1^3, Y2^4, (R * Y1)^2, (R * Y3)^2, (Y2 * Y1)^3, (Y3^-1 * Y1^-1)^3, Y2^-2 * Y1 * Y2^-1 * Y1 * Y2^-2 * Y1^-1 * Y2 * Y1^-1, Y2^-1 * Y1^-1 * Y2 * Y1^-1 * Y2^-1 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 ]
Map::
	R = (1, 217, 2, 218, 4, 220)(3, 219, 8, 224, 10, 226)(5, 221, 13, 229, 14, 230)(6, 222, 15, 231, 17, 233)(7, 223, 18, 234, 19, 235)(9, 225, 22, 238, 23, 239)(11, 227, 26, 242, 28, 244)(12, 228, 29, 245, 20, 236)(16, 232, 34, 250, 35, 251)(21, 237, 42, 258, 43, 259)(24, 240, 48, 264, 50, 266)(25, 241, 51, 267, 44, 260)(27, 243, 53, 269, 54, 270)(30, 246, 47, 263, 60, 276)(31, 247, 61, 277, 62, 278)(32, 248, 63, 279, 64, 280)(33, 249, 65, 281, 66, 282)(36, 252, 71, 287, 73, 289)(37, 253, 74, 290, 67, 283)(38, 254, 70, 286, 76, 292)(39, 255, 77, 293, 78, 294)(40, 256, 79, 295, 80, 296)(41, 257, 81, 297, 82, 298)(45, 261, 75, 291, 87, 303)(46, 262, 88, 304, 90, 306)(49, 265, 69, 285, 92, 308)(52, 268, 97, 313, 98, 314)(55, 271, 103, 319, 104, 320)(56, 272, 105, 321, 99, 315)(57, 273, 102, 318, 107, 323)(58, 274, 108, 324, 109, 325)(59, 275, 110, 326, 100, 316)(68, 284, 106, 322, 119, 335)(72, 288, 101, 317, 122, 338)(83, 299, 133, 349, 134, 350)(84, 300, 135, 351, 136, 352)(85, 301, 137, 353, 138, 354)(86, 302, 139, 355, 116, 332)(89, 305, 132, 348, 142, 358)(91, 307, 143, 359, 144, 360)(93, 309, 146, 362, 115, 331)(94, 310, 147, 363, 120, 336)(95, 311, 145, 361, 149, 365)(96, 312, 150, 366, 151, 367)(111, 327, 163, 379, 165, 381)(112, 328, 166, 382, 162, 378)(113, 329, 167, 383, 168, 384)(114, 330, 169, 385, 170, 386)(117, 333, 171, 387, 164, 380)(118, 334, 172, 388, 153, 369)(121, 337, 174, 390, 175, 391)(123, 339, 177, 393, 152, 368)(124, 340, 178, 394, 155, 371)(125, 341, 176, 392, 179, 395)(126, 342, 180, 396, 181, 397)(127, 343, 182, 398, 184, 400)(128, 344, 185, 401, 140, 356)(129, 345, 186, 402, 187, 403)(130, 346, 188, 404, 189, 405)(131, 347, 148, 364, 190, 406)(141, 357, 194, 410, 157, 373)(154, 370, 201, 417, 183, 399)(156, 372, 202, 418, 191, 407)(158, 374, 203, 419, 192, 408)(159, 375, 204, 420, 195, 411)(160, 376, 205, 421, 173, 389)(161, 377, 206, 422, 196, 412)(193, 409, 211, 427, 214, 430)(197, 413, 212, 428, 210, 426)(198, 414, 213, 429, 209, 425)(199, 415, 215, 431, 207, 423)(200, 416, 216, 432, 208, 424)(433, 649, 435, 651, 441, 657, 437, 653)(434, 650, 438, 654, 448, 664, 439, 655)(436, 652, 443, 659, 459, 675, 444, 660)(440, 656, 452, 668, 473, 689, 453, 669)(442, 658, 456, 672, 481, 697, 457, 673)(445, 661, 462, 678, 491, 707, 463, 679)(446, 662, 464, 680, 465, 681, 447, 663)(449, 665, 468, 684, 504, 720, 469, 685)(450, 666, 470, 686, 507, 723, 471, 687)(451, 667, 472, 688, 484, 700, 458, 674)(454, 670, 476, 692, 518, 734, 477, 693)(455, 671, 478, 694, 521, 737, 479, 695)(460, 676, 487, 703, 522, 738, 488, 704)(461, 677, 489, 705, 538, 754, 490, 706)(466, 682, 499, 715, 550, 766, 500, 716)(467, 683, 501, 717, 552, 768, 502, 718)(474, 690, 515, 731, 493, 709, 516, 732)(475, 691, 517, 733, 523, 739, 480, 696)(482, 698, 525, 741, 496, 712, 526, 742)(483, 699, 527, 743, 580, 796, 528, 744)(485, 701, 531, 747, 567, 783, 532, 748)(486, 702, 533, 749, 587, 803, 534, 750)(492, 708, 543, 759, 596, 812, 544, 760)(494, 710, 545, 761, 546, 762, 495, 711)(497, 713, 547, 763, 509, 725, 548, 764)(498, 714, 549, 765, 553, 769, 503, 719)(505, 721, 555, 771, 512, 728, 556, 772)(506, 722, 557, 773, 601, 817, 558, 774)(508, 724, 559, 775, 615, 831, 560, 776)(510, 726, 561, 777, 562, 778, 511, 727)(513, 729, 541, 757, 593, 809, 563, 779)(514, 730, 564, 780, 536, 752, 565, 781)(519, 735, 572, 788, 573, 789, 520, 736)(524, 740, 551, 767, 605, 821, 577, 793)(529, 745, 584, 800, 540, 756, 585, 801)(530, 746, 586, 802, 588, 804, 535, 751)(537, 753, 589, 805, 620, 836, 590, 806)(539, 755, 591, 807, 570, 786, 592, 808)(542, 758, 594, 810, 608, 824, 554, 770)(566, 782, 623, 839, 642, 858, 599, 815)(568, 784, 624, 840, 625, 841, 569, 785)(571, 787, 583, 799, 632, 848, 603, 819)(574, 790, 622, 838, 639, 855, 595, 811)(575, 791, 627, 843, 582, 798, 628, 844)(576, 792, 629, 845, 618, 834, 578, 794)(579, 795, 602, 818, 643, 859, 614, 830)(581, 797, 630, 846, 617, 833, 631, 847)(597, 813, 612, 828, 600, 816, 606, 822)(598, 814, 640, 856, 626, 842, 641, 857)(604, 820, 613, 829, 647, 863, 633, 849)(607, 823, 644, 860, 638, 854, 609, 825)(610, 826, 621, 837, 648, 864, 636, 852)(611, 827, 645, 861, 637, 853, 646, 862)(616, 832, 635, 851, 619, 835, 634, 850)
	L = (1, 435)(2, 438)(3, 441)(4, 443)(5, 433)(6, 448)(7, 434)(8, 452)(9, 437)(10, 456)(11, 459)(12, 436)(13, 462)(14, 464)(15, 446)(16, 439)(17, 468)(18, 470)(19, 472)(20, 473)(21, 440)(22, 476)(23, 478)(24, 481)(25, 442)(26, 451)(27, 444)(28, 487)(29, 489)(30, 491)(31, 445)(32, 465)(33, 447)(34, 499)(35, 501)(36, 504)(37, 449)(38, 507)(39, 450)(40, 484)(41, 453)(42, 515)(43, 517)(44, 518)(45, 454)(46, 521)(47, 455)(48, 475)(49, 457)(50, 525)(51, 527)(52, 458)(53, 531)(54, 533)(55, 522)(56, 460)(57, 538)(58, 461)(59, 463)(60, 543)(61, 516)(62, 545)(63, 494)(64, 526)(65, 547)(66, 549)(67, 550)(68, 466)(69, 552)(70, 467)(71, 498)(72, 469)(73, 555)(74, 557)(75, 471)(76, 559)(77, 548)(78, 561)(79, 510)(80, 556)(81, 541)(82, 564)(83, 493)(84, 474)(85, 523)(86, 477)(87, 572)(88, 519)(89, 479)(90, 488)(91, 480)(92, 551)(93, 496)(94, 482)(95, 580)(96, 483)(97, 584)(98, 586)(99, 567)(100, 485)(101, 587)(102, 486)(103, 530)(104, 565)(105, 589)(106, 490)(107, 591)(108, 585)(109, 593)(110, 594)(111, 596)(112, 492)(113, 546)(114, 495)(115, 509)(116, 497)(117, 553)(118, 500)(119, 605)(120, 502)(121, 503)(122, 542)(123, 512)(124, 505)(125, 601)(126, 506)(127, 615)(128, 508)(129, 562)(130, 511)(131, 513)(132, 536)(133, 514)(134, 623)(135, 532)(136, 624)(137, 568)(138, 592)(139, 583)(140, 573)(141, 520)(142, 622)(143, 627)(144, 629)(145, 524)(146, 576)(147, 602)(148, 528)(149, 630)(150, 628)(151, 632)(152, 540)(153, 529)(154, 588)(155, 534)(156, 535)(157, 620)(158, 537)(159, 570)(160, 539)(161, 563)(162, 608)(163, 574)(164, 544)(165, 612)(166, 640)(167, 566)(168, 606)(169, 558)(170, 643)(171, 571)(172, 613)(173, 577)(174, 597)(175, 644)(176, 554)(177, 607)(178, 621)(179, 645)(180, 600)(181, 647)(182, 579)(183, 560)(184, 635)(185, 631)(186, 578)(187, 634)(188, 590)(189, 648)(190, 639)(191, 642)(192, 625)(193, 569)(194, 641)(195, 582)(196, 575)(197, 618)(198, 617)(199, 581)(200, 603)(201, 604)(202, 616)(203, 619)(204, 610)(205, 646)(206, 609)(207, 595)(208, 626)(209, 598)(210, 599)(211, 614)(212, 638)(213, 637)(214, 611)(215, 633)(216, 636)(217, 649)(218, 650)(219, 651)(220, 652)(221, 653)(222, 654)(223, 655)(224, 656)(225, 657)(226, 658)(227, 659)(228, 660)(229, 661)(230, 662)(231, 663)(232, 664)(233, 665)(234, 666)(235, 667)(236, 668)(237, 669)(238, 670)(239, 671)(240, 672)(241, 673)(242, 674)(243, 675)(244, 676)(245, 677)(246, 678)(247, 679)(248, 680)(249, 681)(250, 682)(251, 683)(252, 684)(253, 685)(254, 686)(255, 687)(256, 688)(257, 689)(258, 690)(259, 691)(260, 692)(261, 693)(262, 694)(263, 695)(264, 696)(265, 697)(266, 698)(267, 699)(268, 700)(269, 701)(270, 702)(271, 703)(272, 704)(273, 705)(274, 706)(275, 707)(276, 708)(277, 709)(278, 710)(279, 711)(280, 712)(281, 713)(282, 714)(283, 715)(284, 716)(285, 717)(286, 718)(287, 719)(288, 720)(289, 721)(290, 722)(291, 723)(292, 724)(293, 725)(294, 726)(295, 727)(296, 728)(297, 729)(298, 730)(299, 731)(300, 732)(301, 733)(302, 734)(303, 735)(304, 736)(305, 737)(306, 738)(307, 739)(308, 740)(309, 741)(310, 742)(311, 743)(312, 744)(313, 745)(314, 746)(315, 747)(316, 748)(317, 749)(318, 750)(319, 751)(320, 752)(321, 753)(322, 754)(323, 755)(324, 756)(325, 757)(326, 758)(327, 759)(328, 760)(329, 761)(330, 762)(331, 763)(332, 764)(333, 765)(334, 766)(335, 767)(336, 768)(337, 769)(338, 770)(339, 771)(340, 772)(341, 773)(342, 774)(343, 775)(344, 776)(345, 777)(346, 778)(347, 779)(348, 780)(349, 781)(350, 782)(351, 783)(352, 784)(353, 785)(354, 786)(355, 787)(356, 788)(357, 789)(358, 790)(359, 791)(360, 792)(361, 793)(362, 794)(363, 795)(364, 796)(365, 797)(366, 798)(367, 799)(368, 800)(369, 801)(370, 802)(371, 803)(372, 804)(373, 805)(374, 806)(375, 807)(376, 808)(377, 809)(378, 810)(379, 811)(380, 812)(381, 813)(382, 814)(383, 815)(384, 816)(385, 817)(386, 818)(387, 819)(388, 820)(389, 821)(390, 822)(391, 823)(392, 824)(393, 825)(394, 826)(395, 827)(396, 828)(397, 829)(398, 830)(399, 831)(400, 832)(401, 833)(402, 834)(403, 835)(404, 836)(405, 837)(406, 838)(407, 839)(408, 840)(409, 841)(410, 842)(411, 843)(412, 844)(413, 845)(414, 846)(415, 847)(416, 848)(417, 849)(418, 850)(419, 851)(420, 852)(421, 853)(422, 854)(423, 855)(424, 856)(425, 857)(426, 858)(427, 859)(428, 860)(429, 861)(430, 862)(431, 863)(432, 864)
	local type(s) :: { ( 2, 6, 2, 6, 2, 6 ), ( 2, 6, 2, 6, 2, 6, 2, 6 ) }
Outer automorphisms :: reflexible
Dual of E10.906
Graph:: bipartite
	v = 126 e = 432 f = 288
	degree seq :: [ 6^72, 8^54 ]

E10.906 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 3, 4})
Quotient :: dipole
Aut^+ = ((C3 x C3) : Q8) : C3 (small group id <216, 153>)
Aut   = (((C3 x C3) : Q8) : C3) : C2 (small group id <432, 734>)
|r| :: 2
Presentation :: [ Y1, R^2, Y2^3, Y3^4, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, (Y3 * Y2^-1)^3, (Y3^-1 * Y1^-1)^4, Y3 * Y2 * Y3^-2 * Y2 * Y3 * Y2 * Y3^-1 * Y2^-1 * Y3^-1 * Y2, (Y2^-1 * Y3^-1)^6 ]
Map:: polytopal
	R = (1, 217)(2, 218)(3, 219)(4, 220)(5, 221)(6, 222)(7, 223)(8, 224)(9, 225)(10, 226)(11, 227)(12, 228)(13, 229)(14, 230)(15, 231)(16, 232)(17, 233)(18, 234)(19, 235)(20, 236)(21, 237)(22, 238)(23, 239)(24, 240)(25, 241)(26, 242)(27, 243)(28, 244)(29, 245)(30, 246)(31, 247)(32, 248)(33, 249)(34, 250)(35, 251)(36, 252)(37, 253)(38, 254)(39, 255)(40, 256)(41, 257)(42, 258)(43, 259)(44, 260)(45, 261)(46, 262)(47, 263)(48, 264)(49, 265)(50, 266)(51, 267)(52, 268)(53, 269)(54, 270)(55, 271)(56, 272)(57, 273)(58, 274)(59, 275)(60, 276)(61, 277)(62, 278)(63, 279)(64, 280)(65, 281)(66, 282)(67, 283)(68, 284)(69, 285)(70, 286)(71, 287)(72, 288)(73, 289)(74, 290)(75, 291)(76, 292)(77, 293)(78, 294)(79, 295)(80, 296)(81, 297)(82, 298)(83, 299)(84, 300)(85, 301)(86, 302)(87, 303)(88, 304)(89, 305)(90, 306)(91, 307)(92, 308)(93, 309)(94, 310)(95, 311)(96, 312)(97, 313)(98, 314)(99, 315)(100, 316)(101, 317)(102, 318)(103, 319)(104, 320)(105, 321)(106, 322)(107, 323)(108, 324)(109, 325)(110, 326)(111, 327)(112, 328)(113, 329)(114, 330)(115, 331)(116, 332)(117, 333)(118, 334)(119, 335)(120, 336)(121, 337)(122, 338)(123, 339)(124, 340)(125, 341)(126, 342)(127, 343)(128, 344)(129, 345)(130, 346)(131, 347)(132, 348)(133, 349)(134, 350)(135, 351)(136, 352)(137, 353)(138, 354)(139, 355)(140, 356)(141, 357)(142, 358)(143, 359)(144, 360)(145, 361)(146, 362)(147, 363)(148, 364)(149, 365)(150, 366)(151, 367)(152, 368)(153, 369)(154, 370)(155, 371)(156, 372)(157, 373)(158, 374)(159, 375)(160, 376)(161, 377)(162, 378)(163, 379)(164, 380)(165, 381)(166, 382)(167, 383)(168, 384)(169, 385)(170, 386)(171, 387)(172, 388)(173, 389)(174, 390)(175, 391)(176, 392)(177, 393)(178, 394)(179, 395)(180, 396)(181, 397)(182, 398)(183, 399)(184, 400)(185, 401)(186, 402)(187, 403)(188, 404)(189, 405)(190, 406)(191, 407)(192, 408)(193, 409)(194, 410)(195, 411)(196, 412)(197, 413)(198, 414)(199, 415)(200, 416)(201, 417)(202, 418)(203, 419)(204, 420)(205, 421)(206, 422)(207, 423)(208, 424)(209, 425)(210, 426)(211, 427)(212, 428)(213, 429)(214, 430)(215, 431)(216, 432)(433, 649, 434, 650, 436, 652)(435, 651, 440, 656, 442, 658)(437, 653, 445, 661, 446, 662)(438, 654, 447, 663, 449, 665)(439, 655, 450, 666, 451, 667)(441, 657, 454, 670, 455, 671)(443, 659, 457, 673, 459, 675)(444, 660, 460, 676, 461, 677)(448, 664, 467, 683, 468, 684)(452, 668, 473, 689, 475, 691)(453, 669, 476, 692, 477, 693)(456, 672, 481, 697, 482, 698)(458, 674, 485, 701, 486, 702)(462, 678, 491, 707, 492, 708)(463, 679, 493, 709, 479, 695)(464, 680, 495, 711, 496, 712)(465, 681, 497, 713, 499, 715)(466, 682, 500, 716, 501, 717)(469, 685, 505, 721, 506, 722)(470, 686, 507, 723, 508, 724)(471, 687, 509, 725, 503, 719)(472, 688, 511, 727, 512, 728)(474, 690, 515, 731, 516, 732)(478, 694, 521, 737, 523, 739)(480, 696, 524, 740, 525, 741)(483, 699, 529, 745, 531, 747)(484, 700, 532, 748, 533, 749)(487, 703, 537, 753, 538, 754)(488, 704, 539, 755, 540, 756)(489, 705, 541, 757, 535, 751)(490, 706, 543, 759, 544, 760)(494, 710, 550, 766, 551, 767)(498, 714, 517, 733, 557, 773)(502, 718, 548, 764, 562, 778)(504, 720, 563, 779, 564, 780)(510, 726, 571, 787, 572, 788)(513, 729, 575, 791, 577, 793)(514, 730, 578, 794, 553, 769)(518, 734, 559, 775, 581, 797)(519, 735, 582, 798, 579, 795)(520, 736, 536, 752, 584, 800)(522, 738, 561, 777, 586, 802)(526, 742, 560, 776, 590, 806)(527, 743, 546, 762, 567, 783)(528, 744, 591, 807, 592, 808)(530, 746, 558, 774, 595, 811)(534, 750, 569, 785, 597, 813)(542, 758, 600, 816, 552, 768)(545, 761, 602, 818, 603, 819)(547, 763, 604, 820, 599, 815)(549, 765, 568, 784, 606, 822)(554, 770, 608, 824, 555, 771)(556, 772, 610, 826, 573, 789)(565, 781, 596, 812, 614, 830)(566, 782, 615, 831, 616, 832)(570, 786, 598, 814, 618, 834)(574, 790, 580, 796, 593, 809)(576, 792, 587, 803, 621, 837)(583, 799, 623, 839, 624, 840)(585, 801, 626, 842, 627, 843)(588, 804, 607, 823, 628, 844)(589, 805, 629, 845, 630, 846)(594, 810, 633, 849, 601, 817)(605, 821, 635, 851, 637, 853)(609, 825, 611, 827, 639, 855)(612, 828, 619, 835, 640, 856)(613, 829, 641, 857, 642, 858)(617, 833, 644, 860, 645, 861)(620, 836, 647, 863, 625, 841)(622, 838, 631, 847, 643, 859)(632, 848, 634, 850, 648, 864)(636, 852, 638, 854, 646, 862)
	L = (1, 435)(2, 438)(3, 441)(4, 443)(5, 433)(6, 448)(7, 434)(8, 452)(9, 437)(10, 450)(11, 458)(12, 436)(13, 462)(14, 463)(15, 465)(16, 439)(17, 460)(18, 470)(19, 471)(20, 474)(21, 440)(22, 478)(23, 476)(24, 442)(25, 483)(26, 444)(27, 445)(28, 488)(29, 489)(30, 487)(31, 494)(32, 446)(33, 498)(34, 447)(35, 502)(36, 500)(37, 449)(38, 456)(39, 510)(40, 451)(41, 513)(42, 453)(43, 481)(44, 518)(45, 519)(46, 522)(47, 454)(48, 455)(49, 526)(50, 527)(51, 530)(52, 457)(53, 534)(54, 532)(55, 459)(56, 469)(57, 542)(58, 461)(59, 545)(60, 495)(61, 548)(62, 464)(63, 552)(64, 553)(65, 555)(66, 466)(67, 505)(68, 559)(69, 560)(70, 561)(71, 467)(72, 468)(73, 565)(74, 546)(75, 566)(76, 511)(77, 569)(78, 472)(79, 551)(80, 573)(81, 576)(82, 473)(83, 531)(84, 578)(85, 475)(86, 480)(87, 583)(88, 477)(89, 585)(90, 479)(91, 524)(92, 588)(93, 501)(94, 517)(95, 539)(96, 482)(97, 593)(98, 484)(99, 537)(100, 581)(101, 596)(102, 586)(103, 485)(104, 486)(105, 579)(106, 567)(107, 528)(108, 543)(109, 521)(110, 490)(111, 572)(112, 601)(113, 506)(114, 491)(115, 492)(116, 605)(117, 493)(118, 580)(119, 568)(120, 547)(121, 607)(122, 496)(123, 609)(124, 497)(125, 610)(126, 499)(127, 504)(128, 589)(129, 503)(130, 563)(131, 612)(132, 533)(133, 558)(134, 538)(135, 507)(136, 508)(137, 617)(138, 509)(139, 577)(140, 598)(141, 619)(142, 512)(143, 544)(144, 514)(145, 557)(146, 550)(147, 515)(148, 516)(149, 536)(150, 615)(151, 520)(152, 625)(153, 599)(154, 535)(155, 523)(156, 587)(157, 525)(158, 591)(159, 624)(160, 618)(161, 632)(162, 529)(163, 633)(164, 613)(165, 584)(166, 540)(167, 541)(168, 608)(169, 620)(170, 630)(171, 604)(172, 636)(173, 549)(174, 638)(175, 554)(176, 595)(177, 556)(178, 571)(179, 562)(180, 611)(181, 564)(182, 602)(183, 642)(184, 606)(185, 570)(186, 646)(187, 574)(188, 575)(189, 647)(190, 582)(191, 627)(192, 631)(193, 634)(194, 592)(195, 621)(196, 629)(197, 637)(198, 643)(199, 590)(200, 594)(201, 600)(202, 597)(203, 603)(204, 635)(205, 639)(206, 644)(207, 628)(208, 641)(209, 645)(210, 622)(211, 614)(212, 616)(213, 648)(214, 626)(215, 623)(216, 640)(217, 649)(218, 650)(219, 651)(220, 652)(221, 653)(222, 654)(223, 655)(224, 656)(225, 657)(226, 658)(227, 659)(228, 660)(229, 661)(230, 662)(231, 663)(232, 664)(233, 665)(234, 666)(235, 667)(236, 668)(237, 669)(238, 670)(239, 671)(240, 672)(241, 673)(242, 674)(243, 675)(244, 676)(245, 677)(246, 678)(247, 679)(248, 680)(249, 681)(250, 682)(251, 683)(252, 684)(253, 685)(254, 686)(255, 687)(256, 688)(257, 689)(258, 690)(259, 691)(260, 692)(261, 693)(262, 694)(263, 695)(264, 696)(265, 697)(266, 698)(267, 699)(268, 700)(269, 701)(270, 702)(271, 703)(272, 704)(273, 705)(274, 706)(275, 707)(276, 708)(277, 709)(278, 710)(279, 711)(280, 712)(281, 713)(282, 714)(283, 715)(284, 716)(285, 717)(286, 718)(287, 719)(288, 720)(289, 721)(290, 722)(291, 723)(292, 724)(293, 725)(294, 726)(295, 727)(296, 728)(297, 729)(298, 730)(299, 731)(300, 732)(301, 733)(302, 734)(303, 735)(304, 736)(305, 737)(306, 738)(307, 739)(308, 740)(309, 741)(310, 742)(311, 743)(312, 744)(313, 745)(314, 746)(315, 747)(316, 748)(317, 749)(318, 750)(319, 751)(320, 752)(321, 753)(322, 754)(323, 755)(324, 756)(325, 757)(326, 758)(327, 759)(328, 760)(329, 761)(330, 762)(331, 763)(332, 764)(333, 765)(334, 766)(335, 767)(336, 768)(337, 769)(338, 770)(339, 771)(340, 772)(341, 773)(342, 774)(343, 775)(344, 776)(345, 777)(346, 778)(347, 779)(348, 780)(349, 781)(350, 782)(351, 783)(352, 784)(353, 785)(354, 786)(355, 787)(356, 788)(357, 789)(358, 790)(359, 791)(360, 792)(361, 793)(362, 794)(363, 795)(364, 796)(365, 797)(366, 798)(367, 799)(368, 800)(369, 801)(370, 802)(371, 803)(372, 804)(373, 805)(374, 806)(375, 807)(376, 808)(377, 809)(378, 810)(379, 811)(380, 812)(381, 813)(382, 814)(383, 815)(384, 816)(385, 817)(386, 818)(387, 819)(388, 820)(389, 821)(390, 822)(391, 823)(392, 824)(393, 825)(394, 826)(395, 827)(396, 828)(397, 829)(398, 830)(399, 831)(400, 832)(401, 833)(402, 834)(403, 835)(404, 836)(405, 837)(406, 838)(407, 839)(408, 840)(409, 841)(410, 842)(411, 843)(412, 844)(413, 845)(414, 846)(415, 847)(416, 848)(417, 849)(418, 850)(419, 851)(420, 852)(421, 853)(422, 854)(423, 855)(424, 856)(425, 857)(426, 858)(427, 859)(428, 860)(429, 861)(430, 862)(431, 863)(432, 864)
	local type(s) :: { ( 6, 8 ), ( 6, 8, 6, 8, 6, 8 ) }
Outer automorphisms :: reflexible
Dual of E10.905
Graph:: simple bipartite
	v = 288 e = 432 f = 126
	degree seq :: [ 2^216, 6^72 ]

E10.907 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 3, 4})
Quotient :: dipole
Aut^+ = ((C3 x C3) : Q8) : C3 (small group id <216, 153>)
Aut   = (((C3 x C3) : Q8) : C3) : C2 (small group id <432, 734>)
|r| :: 2
Presentation :: [ Y1, R^2, Y2^3, Y3^4, (R * Y1)^2, (R * Y3)^2, (Y2^-1 * Y3)^3, (R * Y2 * Y3^-1)^2, (Y3^-1 * Y2)^3, (Y3^-1 * Y1^-1)^4, Y3 * Y2 * Y3^-2 * Y2^-1 * Y3^-1 * Y2^-1 * Y3^-2 * Y2 ]
Map:: polytopal
	R = (1, 217)(2, 218)(3, 219)(4, 220)(5, 221)(6, 222)(7, 223)(8, 224)(9, 225)(10, 226)(11, 227)(12, 228)(13, 229)(14, 230)(15, 231)(16, 232)(17, 233)(18, 234)(19, 235)(20, 236)(21, 237)(22, 238)(23, 239)(24, 240)(25, 241)(26, 242)(27, 243)(28, 244)(29, 245)(30, 246)(31, 247)(32, 248)(33, 249)(34, 250)(35, 251)(36, 252)(37, 253)(38, 254)(39, 255)(40, 256)(41, 257)(42, 258)(43, 259)(44, 260)(45, 261)(46, 262)(47, 263)(48, 264)(49, 265)(50, 266)(51, 267)(52, 268)(53, 269)(54, 270)(55, 271)(56, 272)(57, 273)(58, 274)(59, 275)(60, 276)(61, 277)(62, 278)(63, 279)(64, 280)(65, 281)(66, 282)(67, 283)(68, 284)(69, 285)(70, 286)(71, 287)(72, 288)(73, 289)(74, 290)(75, 291)(76, 292)(77, 293)(78, 294)(79, 295)(80, 296)(81, 297)(82, 298)(83, 299)(84, 300)(85, 301)(86, 302)(87, 303)(88, 304)(89, 305)(90, 306)(91, 307)(92, 308)(93, 309)(94, 310)(95, 311)(96, 312)(97, 313)(98, 314)(99, 315)(100, 316)(101, 317)(102, 318)(103, 319)(104, 320)(105, 321)(106, 322)(107, 323)(108, 324)(109, 325)(110, 326)(111, 327)(112, 328)(113, 329)(114, 330)(115, 331)(116, 332)(117, 333)(118, 334)(119, 335)(120, 336)(121, 337)(122, 338)(123, 339)(124, 340)(125, 341)(126, 342)(127, 343)(128, 344)(129, 345)(130, 346)(131, 347)(132, 348)(133, 349)(134, 350)(135, 351)(136, 352)(137, 353)(138, 354)(139, 355)(140, 356)(141, 357)(142, 358)(143, 359)(144, 360)(145, 361)(146, 362)(147, 363)(148, 364)(149, 365)(150, 366)(151, 367)(152, 368)(153, 369)(154, 370)(155, 371)(156, 372)(157, 373)(158, 374)(159, 375)(160, 376)(161, 377)(162, 378)(163, 379)(164, 380)(165, 381)(166, 382)(167, 383)(168, 384)(169, 385)(170, 386)(171, 387)(172, 388)(173, 389)(174, 390)(175, 391)(176, 392)(177, 393)(178, 394)(179, 395)(180, 396)(181, 397)(182, 398)(183, 399)(184, 400)(185, 401)(186, 402)(187, 403)(188, 404)(189, 405)(190, 406)(191, 407)(192, 408)(193, 409)(194, 410)(195, 411)(196, 412)(197, 413)(198, 414)(199, 415)(200, 416)(201, 417)(202, 418)(203, 419)(204, 420)(205, 421)(206, 422)(207, 423)(208, 424)(209, 425)(210, 426)(211, 427)(212, 428)(213, 429)(214, 430)(215, 431)(216, 432)(433, 649, 434, 650, 436, 652)(435, 651, 440, 656, 442, 658)(437, 653, 445, 661, 446, 662)(438, 654, 447, 663, 449, 665)(439, 655, 450, 666, 451, 667)(441, 657, 454, 670, 455, 671)(443, 659, 457, 673, 459, 675)(444, 660, 460, 676, 461, 677)(448, 664, 467, 683, 468, 684)(452, 668, 473, 689, 475, 691)(453, 669, 476, 692, 477, 693)(456, 672, 481, 697, 482, 698)(458, 674, 485, 701, 486, 702)(462, 678, 491, 707, 492, 708)(463, 679, 493, 709, 479, 695)(464, 680, 495, 711, 496, 712)(465, 681, 497, 713, 499, 715)(466, 682, 500, 716, 501, 717)(469, 685, 505, 721, 506, 722)(470, 686, 507, 723, 508, 724)(471, 687, 509, 725, 503, 719)(472, 688, 511, 727, 512, 728)(474, 690, 515, 731, 516, 732)(478, 694, 498, 714, 522, 738)(480, 696, 523, 739, 524, 740)(483, 699, 528, 744, 530, 746)(484, 700, 531, 747, 532, 748)(487, 703, 535, 751, 536, 752)(488, 704, 537, 753, 538, 754)(489, 705, 539, 755, 533, 749)(490, 706, 540, 756, 541, 757)(494, 710, 504, 720, 545, 761)(502, 718, 529, 745, 554, 770)(510, 726, 534, 750, 561, 777)(513, 729, 563, 779, 564, 780)(514, 730, 565, 781, 566, 782)(517, 733, 568, 784, 569, 785)(518, 734, 570, 786, 571, 787)(519, 735, 572, 788, 567, 783)(520, 736, 574, 790, 575, 791)(521, 737, 576, 792, 548, 764)(525, 741, 579, 795, 580, 796)(526, 742, 581, 797, 547, 763)(527, 743, 582, 798, 550, 766)(542, 758, 594, 810, 595, 811)(543, 759, 596, 812, 598, 814)(544, 760, 599, 815, 600, 816)(546, 762, 601, 817, 602, 818)(549, 765, 603, 819, 604, 820)(551, 767, 605, 821, 577, 793)(552, 768, 607, 823, 608, 824)(553, 769, 609, 825, 584, 800)(555, 771, 611, 827, 612, 828)(556, 772, 613, 829, 583, 799)(557, 773, 614, 830, 586, 802)(558, 774, 615, 831, 573, 789)(559, 775, 616, 832, 617, 833)(560, 776, 618, 834, 619, 835)(562, 778, 620, 836, 621, 837)(578, 794, 629, 845, 592, 808)(585, 801, 631, 847, 632, 848)(587, 803, 633, 849, 610, 826)(588, 804, 634, 850, 635, 851)(589, 805, 597, 813, 625, 841)(590, 806, 636, 852, 606, 822)(591, 807, 637, 853, 623, 839)(593, 809, 638, 854, 622, 838)(624, 840, 643, 859, 648, 864)(626, 842, 642, 858, 647, 863)(627, 843, 640, 856, 644, 860)(628, 844, 641, 857, 645, 861)(630, 846, 646, 862, 639, 855)
	L = (1, 435)(2, 438)(3, 441)(4, 443)(5, 433)(6, 448)(7, 434)(8, 452)(9, 437)(10, 450)(11, 458)(12, 436)(13, 462)(14, 463)(15, 465)(16, 439)(17, 460)(18, 470)(19, 471)(20, 474)(21, 440)(22, 478)(23, 476)(24, 442)(25, 483)(26, 444)(27, 445)(28, 488)(29, 489)(30, 487)(31, 494)(32, 446)(33, 498)(34, 447)(35, 502)(36, 500)(37, 449)(38, 456)(39, 510)(40, 451)(41, 513)(42, 453)(43, 481)(44, 518)(45, 519)(46, 521)(47, 454)(48, 455)(49, 525)(50, 526)(51, 529)(52, 457)(53, 516)(54, 531)(55, 459)(56, 469)(57, 524)(58, 461)(59, 514)(60, 495)(61, 543)(62, 464)(63, 546)(64, 527)(65, 547)(66, 466)(67, 505)(68, 550)(69, 551)(70, 553)(71, 467)(72, 468)(73, 555)(74, 556)(75, 548)(76, 511)(77, 559)(78, 472)(79, 562)(80, 557)(81, 491)(82, 473)(83, 561)(84, 565)(85, 475)(86, 480)(87, 573)(88, 477)(89, 479)(90, 523)(91, 578)(92, 490)(93, 517)(94, 496)(95, 482)(96, 583)(97, 484)(98, 535)(99, 586)(100, 587)(101, 485)(102, 486)(103, 589)(104, 563)(105, 584)(106, 540)(107, 591)(108, 593)(109, 570)(110, 492)(111, 597)(112, 493)(113, 599)(114, 542)(115, 507)(116, 497)(117, 499)(118, 504)(119, 606)(120, 501)(121, 503)(122, 545)(123, 549)(124, 512)(125, 506)(126, 508)(127, 579)(128, 509)(129, 618)(130, 558)(131, 541)(132, 568)(133, 533)(134, 594)(135, 515)(136, 624)(137, 616)(138, 536)(139, 574)(140, 626)(141, 520)(142, 628)(143, 620)(144, 615)(145, 522)(146, 577)(147, 560)(148, 582)(149, 603)(150, 607)(151, 537)(152, 528)(153, 530)(154, 534)(155, 595)(156, 532)(157, 585)(158, 538)(159, 611)(160, 539)(161, 590)(162, 639)(163, 588)(164, 635)(165, 544)(166, 576)(167, 610)(168, 641)(169, 632)(170, 581)(171, 643)(172, 637)(173, 642)(174, 552)(175, 630)(176, 638)(177, 636)(178, 554)(179, 592)(180, 614)(181, 631)(182, 634)(183, 640)(184, 575)(185, 609)(186, 567)(187, 646)(188, 569)(189, 613)(190, 564)(191, 566)(192, 622)(193, 571)(194, 629)(195, 572)(196, 625)(197, 627)(198, 580)(199, 648)(200, 596)(201, 647)(202, 644)(203, 601)(204, 645)(205, 608)(206, 604)(207, 623)(208, 598)(209, 605)(210, 600)(211, 602)(212, 612)(213, 617)(214, 633)(215, 619)(216, 621)(217, 649)(218, 650)(219, 651)(220, 652)(221, 653)(222, 654)(223, 655)(224, 656)(225, 657)(226, 658)(227, 659)(228, 660)(229, 661)(230, 662)(231, 663)(232, 664)(233, 665)(234, 666)(235, 667)(236, 668)(237, 669)(238, 670)(239, 671)(240, 672)(241, 673)(242, 674)(243, 675)(244, 676)(245, 677)(246, 678)(247, 679)(248, 680)(249, 681)(250, 682)(251, 683)(252, 684)(253, 685)(254, 686)(255, 687)(256, 688)(257, 689)(258, 690)(259, 691)(260, 692)(261, 693)(262, 694)(263, 695)(264, 696)(265, 697)(266, 698)(267, 699)(268, 700)(269, 701)(270, 702)(271, 703)(272, 704)(273, 705)(274, 706)(275, 707)(276, 708)(277, 709)(278, 710)(279, 711)(280, 712)(281, 713)(282, 714)(283, 715)(284, 716)(285, 717)(286, 718)(287, 719)(288, 720)(289, 721)(290, 722)(291, 723)(292, 724)(293, 725)(294, 726)(295, 727)(296, 728)(297, 729)(298, 730)(299, 731)(300, 732)(301, 733)(302, 734)(303, 735)(304, 736)(305, 737)(306, 738)(307, 739)(308, 740)(309, 741)(310, 742)(311, 743)(312, 744)(313, 745)(314, 746)(315, 747)(316, 748)(317, 749)(318, 750)(319, 751)(320, 752)(321, 753)(322, 754)(323, 755)(324, 756)(325, 757)(326, 758)(327, 759)(328, 760)(329, 761)(330, 762)(331, 763)(332, 764)(333, 765)(334, 766)(335, 767)(336, 768)(337, 769)(338, 770)(339, 771)(340, 772)(341, 773)(342, 774)(343, 775)(344, 776)(345, 777)(346, 778)(347, 779)(348, 780)(349, 781)(350, 782)(351, 783)(352, 784)(353, 785)(354, 786)(355, 787)(356, 788)(357, 789)(358, 790)(359, 791)(360, 792)(361, 793)(362, 794)(363, 795)(364, 796)(365, 797)(366, 798)(367, 799)(368, 800)(369, 801)(370, 802)(371, 803)(372, 804)(373, 805)(374, 806)(375, 807)(376, 808)(377, 809)(378, 810)(379, 811)(380, 812)(381, 813)(382, 814)(383, 815)(384, 816)(385, 817)(386, 818)(387, 819)(388, 820)(389, 821)(390, 822)(391, 823)(392, 824)(393, 825)(394, 826)(395, 827)(396, 828)(397, 829)(398, 830)(399, 831)(400, 832)(401, 833)(402, 834)(403, 835)(404, 836)(405, 837)(406, 838)(407, 839)(408, 840)(409, 841)(410, 842)(411, 843)(412, 844)(413, 845)(414, 846)(415, 847)(416, 848)(417, 849)(418, 850)(419, 851)(420, 852)(421, 853)(422, 854)(423, 855)(424, 856)(425, 857)(426, 858)(427, 859)(428, 860)(429, 861)(430, 862)(431, 863)(432, 864)
	local type(s) :: { ( 6, 8 ), ( 6, 8, 6, 8, 6, 8 ) }
Outer automorphisms :: reflexible
Dual of E10.904
Graph:: simple bipartite
	v = 288 e = 432 f = 126
	degree seq :: [ 2^216, 6^72 ]

E10.908 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 3, 4})
Quotient :: dipole
Aut^+ = ((C3 x C3) : Q8) : C3 (small group id <216, 153>)
Aut   = (((C3 x C3) : Q8) : C3) : C2 (small group id <432, 734>)
|r| :: 2
Presentation :: [ Y2, R^2, Y3^3, Y1^4, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, (Y3 * Y2^-1)^3, (Y3^-1 * Y1^-1)^3, Y1^2 * Y3^-1 * Y1^-1 * Y3^2 * Y1^-1 * Y3^-1 * Y1, Y3 * Y1^-1 * Y3^-1 * Y1 * Y3^-1 * Y1^2 * Y3^-1 * Y1 * Y3^-1 * Y1^-1, (Y3^-1 * Y1)^6 ]
Map:: polytopal
	R = (1, 217, 2, 218, 6, 222, 4, 220)(3, 219, 9, 225, 21, 237, 10, 226)(5, 221, 13, 229, 29, 245, 14, 230)(7, 223, 17, 233, 37, 253, 18, 234)(8, 224, 19, 235, 40, 256, 20, 236)(11, 227, 26, 242, 52, 268, 27, 243)(12, 228, 28, 244, 46, 262, 22, 238)(15, 231, 33, 249, 65, 281, 34, 250)(16, 232, 35, 251, 68, 284, 36, 252)(23, 239, 47, 263, 89, 305, 48, 264)(24, 240, 49, 265, 93, 309, 50, 266)(25, 241, 51, 267, 60, 276, 30, 246)(31, 247, 61, 277, 115, 331, 62, 278)(32, 248, 63, 279, 119, 335, 64, 280)(38, 254, 73, 289, 98, 314, 74, 290)(39, 255, 75, 291, 78, 294, 41, 257)(42, 258, 79, 295, 142, 358, 80, 296)(43, 259, 81, 297, 145, 361, 82, 298)(44, 260, 83, 299, 123, 339, 84, 300)(45, 261, 85, 301, 127, 343, 86, 302)(53, 269, 101, 317, 161, 377, 102, 318)(54, 270, 103, 319, 164, 380, 104, 320)(55, 271, 105, 321, 106, 322, 56, 272)(57, 273, 107, 323, 113, 329, 108, 324)(58, 274, 109, 325, 124, 340, 110, 326)(59, 275, 111, 327, 128, 344, 112, 328)(66, 282, 118, 334, 137, 353, 125, 341)(67, 283, 126, 342, 129, 345, 69, 285)(70, 286, 130, 346, 157, 373, 94, 310)(71, 287, 122, 338, 99, 315, 131, 347)(72, 288, 132, 348, 87, 303, 133, 349)(76, 292, 138, 354, 100, 316, 139, 355)(77, 293, 90, 306, 88, 304, 140, 356)(91, 307, 152, 368, 196, 412, 153, 369)(92, 308, 154, 370, 197, 413, 155, 371)(95, 311, 158, 374, 189, 405, 144, 360)(96, 312, 159, 375, 160, 376, 97, 313)(114, 330, 171, 387, 151, 367, 116, 332)(117, 333, 165, 381, 203, 419, 172, 388)(120, 336, 149, 365, 194, 410, 174, 390)(121, 337, 175, 391, 206, 422, 176, 392)(134, 350, 185, 401, 210, 426, 182, 398)(135, 351, 186, 402, 187, 403, 136, 352)(141, 357, 188, 404, 173, 389, 143, 359)(146, 362, 184, 400, 212, 428, 191, 407)(147, 363, 192, 408, 193, 409, 148, 364)(150, 366, 195, 411, 156, 372, 166, 382)(162, 378, 170, 386, 205, 421, 201, 417)(163, 379, 202, 418, 211, 427, 183, 399)(167, 383, 204, 420, 200, 416, 168, 384)(169, 385, 177, 393, 207, 423, 198, 414)(178, 394, 199, 415, 208, 424, 179, 395)(180, 396, 209, 425, 190, 406, 181, 397)(213, 429, 216, 432, 215, 431, 214, 430)(433, 649)(434, 650)(435, 651)(436, 652)(437, 653)(438, 654)(439, 655)(440, 656)(441, 657)(442, 658)(443, 659)(444, 660)(445, 661)(446, 662)(447, 663)(448, 664)(449, 665)(450, 666)(451, 667)(452, 668)(453, 669)(454, 670)(455, 671)(456, 672)(457, 673)(458, 674)(459, 675)(460, 676)(461, 677)(462, 678)(463, 679)(464, 680)(465, 681)(466, 682)(467, 683)(468, 684)(469, 685)(470, 686)(471, 687)(472, 688)(473, 689)(474, 690)(475, 691)(476, 692)(477, 693)(478, 694)(479, 695)(480, 696)(481, 697)(482, 698)(483, 699)(484, 700)(485, 701)(486, 702)(487, 703)(488, 704)(489, 705)(490, 706)(491, 707)(492, 708)(493, 709)(494, 710)(495, 711)(496, 712)(497, 713)(498, 714)(499, 715)(500, 716)(501, 717)(502, 718)(503, 719)(504, 720)(505, 721)(506, 722)(507, 723)(508, 724)(509, 725)(510, 726)(511, 727)(512, 728)(513, 729)(514, 730)(515, 731)(516, 732)(517, 733)(518, 734)(519, 735)(520, 736)(521, 737)(522, 738)(523, 739)(524, 740)(525, 741)(526, 742)(527, 743)(528, 744)(529, 745)(530, 746)(531, 747)(532, 748)(533, 749)(534, 750)(535, 751)(536, 752)(537, 753)(538, 754)(539, 755)(540, 756)(541, 757)(542, 758)(543, 759)(544, 760)(545, 761)(546, 762)(547, 763)(548, 764)(549, 765)(550, 766)(551, 767)(552, 768)(553, 769)(554, 770)(555, 771)(556, 772)(557, 773)(558, 774)(559, 775)(560, 776)(561, 777)(562, 778)(563, 779)(564, 780)(565, 781)(566, 782)(567, 783)(568, 784)(569, 785)(570, 786)(571, 787)(572, 788)(573, 789)(574, 790)(575, 791)(576, 792)(577, 793)(578, 794)(579, 795)(580, 796)(581, 797)(582, 798)(583, 799)(584, 800)(585, 801)(586, 802)(587, 803)(588, 804)(589, 805)(590, 806)(591, 807)(592, 808)(593, 809)(594, 810)(595, 811)(596, 812)(597, 813)(598, 814)(599, 815)(600, 816)(601, 817)(602, 818)(603, 819)(604, 820)(605, 821)(606, 822)(607, 823)(608, 824)(609, 825)(610, 826)(611, 827)(612, 828)(613, 829)(614, 830)(615, 831)(616, 832)(617, 833)(618, 834)(619, 835)(620, 836)(621, 837)(622, 838)(623, 839)(624, 840)(625, 841)(626, 842)(627, 843)(628, 844)(629, 845)(630, 846)(631, 847)(632, 848)(633, 849)(634, 850)(635, 851)(636, 852)(637, 853)(638, 854)(639, 855)(640, 856)(641, 857)(642, 858)(643, 859)(644, 860)(645, 861)(646, 862)(647, 863)(648, 864)
	L = (1, 435)(2, 439)(3, 437)(4, 443)(5, 433)(6, 447)(7, 440)(8, 434)(9, 454)(10, 456)(11, 444)(12, 436)(13, 462)(14, 464)(15, 448)(16, 438)(17, 446)(18, 470)(19, 473)(20, 475)(21, 476)(22, 455)(23, 441)(24, 457)(25, 442)(26, 468)(27, 486)(28, 488)(29, 490)(30, 463)(31, 445)(32, 449)(33, 452)(34, 498)(35, 501)(36, 485)(37, 503)(38, 471)(39, 450)(40, 508)(41, 474)(42, 451)(43, 465)(44, 477)(45, 453)(46, 519)(47, 522)(48, 524)(49, 518)(50, 527)(51, 529)(52, 531)(53, 458)(54, 487)(55, 459)(56, 489)(57, 460)(58, 491)(59, 461)(60, 545)(61, 548)(62, 550)(63, 544)(64, 553)(65, 555)(66, 499)(67, 466)(68, 559)(69, 502)(70, 467)(71, 504)(72, 469)(73, 565)(74, 566)(75, 568)(76, 509)(77, 472)(78, 547)(79, 575)(80, 535)(81, 572)(82, 579)(83, 480)(84, 514)(85, 580)(86, 526)(87, 520)(88, 478)(89, 582)(90, 523)(91, 479)(92, 515)(93, 537)(94, 481)(95, 528)(96, 482)(97, 530)(98, 483)(99, 532)(100, 484)(101, 543)(102, 595)(103, 570)(104, 597)(105, 588)(106, 589)(107, 600)(108, 505)(109, 494)(110, 587)(111, 594)(112, 552)(113, 546)(114, 492)(115, 573)(116, 549)(117, 493)(118, 541)(119, 591)(120, 495)(121, 554)(122, 496)(123, 556)(124, 497)(125, 609)(126, 611)(127, 560)(128, 500)(129, 574)(130, 613)(131, 534)(132, 615)(133, 540)(134, 567)(135, 506)(136, 569)(137, 507)(138, 512)(139, 608)(140, 578)(141, 510)(142, 612)(143, 576)(144, 511)(145, 618)(146, 513)(147, 516)(148, 581)(149, 517)(150, 583)(151, 521)(152, 571)(153, 590)(154, 603)(155, 602)(156, 525)(157, 599)(158, 627)(159, 605)(160, 606)(161, 631)(162, 533)(163, 563)(164, 558)(165, 598)(166, 536)(167, 538)(168, 601)(169, 539)(170, 542)(171, 630)(172, 607)(173, 551)(174, 617)(175, 620)(176, 584)(177, 610)(178, 557)(179, 596)(180, 561)(181, 614)(182, 562)(183, 616)(184, 564)(185, 592)(186, 622)(187, 623)(188, 604)(189, 624)(190, 577)(191, 639)(192, 641)(193, 628)(194, 646)(195, 585)(196, 645)(197, 644)(198, 586)(199, 632)(200, 593)(201, 635)(202, 636)(203, 640)(204, 642)(205, 648)(206, 637)(207, 619)(208, 633)(209, 621)(210, 634)(211, 626)(212, 647)(213, 625)(214, 643)(215, 629)(216, 638)(217, 649)(218, 650)(219, 651)(220, 652)(221, 653)(222, 654)(223, 655)(224, 656)(225, 657)(226, 658)(227, 659)(228, 660)(229, 661)(230, 662)(231, 663)(232, 664)(233, 665)(234, 666)(235, 667)(236, 668)(237, 669)(238, 670)(239, 671)(240, 672)(241, 673)(242, 674)(243, 675)(244, 676)(245, 677)(246, 678)(247, 679)(248, 680)(249, 681)(250, 682)(251, 683)(252, 684)(253, 685)(254, 686)(255, 687)(256, 688)(257, 689)(258, 690)(259, 691)(260, 692)(261, 693)(262, 694)(263, 695)(264, 696)(265, 697)(266, 698)(267, 699)(268, 700)(269, 701)(270, 702)(271, 703)(272, 704)(273, 705)(274, 706)(275, 707)(276, 708)(277, 709)(278, 710)(279, 711)(280, 712)(281, 713)(282, 714)(283, 715)(284, 716)(285, 717)(286, 718)(287, 719)(288, 720)(289, 721)(290, 722)(291, 723)(292, 724)(293, 725)(294, 726)(295, 727)(296, 728)(297, 729)(298, 730)(299, 731)(300, 732)(301, 733)(302, 734)(303, 735)(304, 736)(305, 737)(306, 738)(307, 739)(308, 740)(309, 741)(310, 742)(311, 743)(312, 744)(313, 745)(314, 746)(315, 747)(316, 748)(317, 749)(318, 750)(319, 751)(320, 752)(321, 753)(322, 754)(323, 755)(324, 756)(325, 757)(326, 758)(327, 759)(328, 760)(329, 761)(330, 762)(331, 763)(332, 764)(333, 765)(334, 766)(335, 767)(336, 768)(337, 769)(338, 770)(339, 771)(340, 772)(341, 773)(342, 774)(343, 775)(344, 776)(345, 777)(346, 778)(347, 779)(348, 780)(349, 781)(350, 782)(351, 783)(352, 784)(353, 785)(354, 786)(355, 787)(356, 788)(357, 789)(358, 790)(359, 791)(360, 792)(361, 793)(362, 794)(363, 795)(364, 796)(365, 797)(366, 798)(367, 799)(368, 800)(369, 801)(370, 802)(371, 803)(372, 804)(373, 805)(374, 806)(375, 807)(376, 808)(377, 809)(378, 810)(379, 811)(380, 812)(381, 813)(382, 814)(383, 815)(384, 816)(385, 817)(386, 818)(387, 819)(388, 820)(389, 821)(390, 822)(391, 823)(392, 824)(393, 825)(394, 826)(395, 827)(396, 828)(397, 829)(398, 830)(399, 831)(400, 832)(401, 833)(402, 834)(403, 835)(404, 836)(405, 837)(406, 838)(407, 839)(408, 840)(409, 841)(410, 842)(411, 843)(412, 844)(413, 845)(414, 846)(415, 847)(416, 848)(417, 849)(418, 850)(419, 851)(420, 852)(421, 853)(422, 854)(423, 855)(424, 856)(425, 857)(426, 858)(427, 859)(428, 860)(429, 861)(430, 862)(431, 863)(432, 864)
	local type(s) :: { ( 6, 6 ), ( 6^8 ) }
Outer automorphisms :: reflexible
Dual of E10.903
Graph:: simple bipartite
	v = 270 e = 432 f = 144
	degree seq :: [ 2^216, 8^54 ]

E10.909 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 4, 6})
Quotient :: regular
Aut^+ = (((C3 x C3) : C3) : C4) : C2 (small group id <216, 87>)
Aut   = $<432, 530>$ (small group id <432, 530>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T1^6, (T2 * T1)^4, (T2 * T1^-3 * T2 * T1^-2)^2, (T2 * T1^2 * T2 * T1^-3)^2, T2 * T1^2 * T2 * T1^-1 * T2 * T1 * T2 * T1^-2 * T2 * T1 * T2 * T1^-1 ]
Map:: polyhedral non-degenerate
	R = (1, 2, 5, 11, 10, 4)(3, 7, 15, 29, 18, 8)(6, 13, 25, 46, 28, 14)(9, 19, 35, 61, 37, 20)(12, 23, 42, 73, 45, 24)(16, 31, 54, 93, 56, 32)(17, 33, 57, 82, 48, 26)(21, 38, 66, 111, 68, 39)(22, 40, 69, 115, 72, 41)(27, 49, 83, 124, 75, 43)(30, 52, 89, 119, 92, 53)(34, 59, 100, 116, 102, 60)(36, 63, 106, 164, 108, 64)(44, 76, 125, 170, 117, 70)(47, 79, 131, 114, 134, 80)(50, 85, 140, 112, 142, 86)(51, 87, 143, 173, 120, 88)(55, 95, 126, 179, 147, 90)(58, 98, 156, 192, 158, 99)(62, 104, 128, 77, 127, 105)(65, 109, 122, 74, 121, 110)(67, 71, 118, 171, 167, 113)(78, 129, 103, 162, 168, 130)(81, 135, 172, 146, 184, 132)(84, 138, 189, 163, 107, 139)(91, 137, 188, 204, 185, 144)(94, 150, 195, 161, 169, 151)(96, 141, 182, 159, 199, 153)(97, 154, 177, 148, 194, 155)(101, 145, 175, 205, 202, 160)(123, 176, 165, 183, 207, 174)(133, 178, 209, 203, 166, 181)(136, 180, 206, 191, 149, 187)(152, 197, 208, 200, 157, 198)(186, 211, 196, 213, 190, 212)(193, 214, 201, 215, 216, 210)
	L = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 17)(10, 21)(11, 22)(13, 26)(14, 27)(15, 30)(18, 34)(19, 36)(20, 31)(23, 43)(24, 44)(25, 47)(28, 50)(29, 51)(32, 55)(33, 58)(35, 62)(37, 65)(38, 67)(39, 63)(40, 70)(41, 71)(42, 74)(45, 77)(46, 78)(48, 81)(49, 84)(52, 90)(53, 91)(54, 94)(56, 96)(57, 97)(59, 101)(60, 98)(61, 103)(64, 107)(66, 112)(68, 114)(69, 116)(72, 119)(73, 120)(75, 123)(76, 126)(79, 132)(80, 133)(82, 136)(83, 137)(85, 141)(86, 138)(87, 144)(88, 145)(89, 146)(92, 148)(93, 149)(95, 152)(99, 157)(100, 159)(102, 161)(104, 163)(105, 155)(106, 165)(108, 160)(109, 166)(110, 150)(111, 143)(113, 158)(115, 168)(117, 169)(118, 172)(121, 174)(122, 175)(124, 177)(125, 178)(127, 180)(128, 179)(129, 181)(130, 182)(131, 183)(134, 185)(135, 186)(139, 190)(140, 191)(142, 192)(147, 193)(151, 196)(153, 197)(154, 200)(156, 201)(162, 194)(164, 199)(167, 203)(170, 204)(171, 205)(173, 206)(176, 208)(184, 210)(187, 211)(188, 213)(189, 214)(195, 215)(198, 209)(202, 212)(207, 216)
	local type(s) :: { ( 4^6 ) }
Outer automorphisms :: reflexible
Dual of E10.910
Transitivity :: ET+ VT+ AT+ REG+
Graph:: simple bipartite
	v = 36 e = 108 f = 54
	degree seq :: [ 6^36 ]

E10.910 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 4, 6})
Quotient :: regular
Aut^+ = (((C3 x C3) : C3) : C4) : C2 (small group id <216, 87>)
Aut   = $<432, 530>$ (small group id <432, 530>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T1^4, (T1^-1 * T2)^6, (T2 * T1^-2 * T2 * T1^-2 * T2 * T1^-1)^2, (T2 * T1^-2 * T2 * T1 * T2 * T1^-2)^2, T2 * T1 * T2 * T1 * T2 * T1^-1 * T2 * T1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1 * T2 * T1^-1 ]
Map:: polyhedral non-degenerate
	R = (1, 2, 5, 4)(3, 7, 13, 8)(6, 11, 20, 12)(9, 16, 28, 17)(10, 18, 31, 19)(14, 24, 41, 25)(15, 26, 44, 27)(21, 35, 59, 36)(22, 37, 62, 38)(23, 39, 65, 40)(29, 48, 79, 49)(30, 50, 82, 51)(32, 53, 86, 54)(33, 55, 89, 56)(34, 57, 92, 58)(42, 69, 110, 70)(43, 71, 112, 72)(45, 74, 117, 75)(46, 76, 96, 60)(47, 77, 121, 78)(52, 84, 131, 85)(61, 97, 150, 98)(63, 100, 155, 101)(64, 102, 135, 87)(66, 104, 138, 105)(67, 106, 134, 107)(68, 108, 133, 109)(73, 115, 132, 116)(80, 91, 141, 125)(81, 126, 177, 127)(83, 129, 178, 130)(88, 136, 182, 137)(90, 139, 185, 140)(93, 143, 128, 144)(94, 145, 124, 146)(95, 147, 123, 148)(99, 153, 122, 154)(103, 159, 180, 142)(111, 156, 192, 167)(113, 151, 183, 169)(114, 158, 200, 160)(118, 163, 202, 173)(119, 157, 187, 174)(120, 175, 198, 176)(149, 186, 164, 195)(152, 188, 210, 189)(161, 199, 208, 194)(162, 190, 209, 201)(165, 197, 172, 196)(166, 203, 171, 184)(168, 191, 170, 205)(179, 193, 207, 181)(204, 213, 215, 211)(206, 214, 216, 212)
	L = (1, 3)(2, 6)(4, 9)(5, 10)(7, 14)(8, 15)(11, 21)(12, 22)(13, 23)(16, 29)(17, 30)(18, 32)(19, 33)(20, 34)(24, 42)(25, 43)(26, 45)(27, 46)(28, 47)(31, 52)(35, 60)(36, 61)(37, 63)(38, 64)(39, 66)(40, 67)(41, 68)(44, 73)(48, 80)(49, 81)(50, 83)(51, 69)(53, 87)(54, 88)(55, 90)(56, 91)(57, 93)(58, 94)(59, 95)(62, 99)(65, 103)(70, 111)(71, 113)(72, 114)(74, 118)(75, 119)(76, 120)(77, 122)(78, 123)(79, 124)(82, 128)(84, 132)(85, 133)(86, 134)(89, 138)(92, 142)(96, 149)(97, 151)(98, 152)(100, 156)(101, 157)(102, 158)(104, 160)(105, 161)(106, 162)(107, 163)(108, 164)(109, 165)(110, 166)(112, 168)(115, 170)(116, 171)(117, 172)(121, 159)(125, 173)(126, 169)(127, 176)(129, 179)(130, 174)(131, 180)(135, 181)(136, 183)(137, 184)(139, 186)(140, 187)(141, 188)(143, 189)(144, 190)(145, 191)(146, 192)(147, 193)(148, 194)(150, 196)(153, 197)(154, 198)(155, 199)(167, 204)(175, 206)(177, 201)(178, 205)(182, 208)(185, 209)(195, 211)(200, 212)(202, 213)(203, 214)(207, 215)(210, 216)
	local type(s) :: { ( 6^4 ) }
Outer automorphisms :: reflexible
Dual of E10.909
Transitivity :: ET+ VT+ AT+ REG+
Graph:: simple bipartite
	v = 54 e = 108 f = 36
	degree seq :: [ 4^54 ]

E10.911 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 4, 6})
Quotient :: edge
Aut^+ = (((C3 x C3) : C3) : C4) : C2 (small group id <216, 87>)
Aut   = $<432, 530>$ (small group id <432, 530>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T1)^2, (F * T2)^2, T2^4, (T2^-1 * T1)^6, (T2^-1 * T1 * T2 * T1 * T2^-2 * T1 * T2^-1)^2, (T2^-2 * T1 * T2^-1 * T1 * T2^-2 * T1)^2, T2 * T1 * T2 * T1 * T2^-1 * T1 * T2 * T1 * T2^-1 * 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, 45, 27)(20, 34, 58, 35)(23, 39, 65, 40)(25, 42, 70, 43)(28, 47, 78, 48)(30, 50, 83, 51)(31, 52, 84, 53)(33, 55, 89, 56)(36, 60, 97, 61)(38, 63, 102, 64)(41, 67, 107, 68)(44, 72, 114, 73)(46, 75, 119, 76)(49, 80, 126, 81)(54, 86, 135, 87)(57, 91, 142, 92)(59, 94, 147, 95)(62, 99, 154, 100)(66, 104, 161, 105)(69, 109, 167, 110)(71, 112, 170, 113)(74, 116, 173, 117)(77, 120, 176, 121)(79, 123, 177, 124)(82, 128, 179, 129)(85, 132, 182, 133)(88, 137, 188, 138)(90, 140, 191, 141)(93, 144, 194, 145)(96, 148, 197, 149)(98, 151, 198, 152)(101, 156, 200, 157)(103, 159, 127, 160)(106, 163, 130, 164)(108, 165, 122, 166)(111, 168, 125, 169)(115, 171, 205, 172)(118, 174, 206, 175)(131, 180, 155, 181)(134, 184, 158, 185)(136, 186, 150, 187)(139, 189, 153, 190)(143, 192, 211, 193)(146, 195, 212, 196)(162, 202, 214, 203)(178, 201, 213, 204)(183, 208, 216, 209)(199, 207, 215, 210)(217, 218)(219, 223)(220, 225)(221, 226)(222, 228)(224, 231)(227, 236)(229, 239)(230, 241)(232, 244)(233, 246)(234, 247)(235, 249)(237, 252)(238, 254)(240, 257)(242, 260)(243, 262)(245, 265)(248, 270)(250, 273)(251, 275)(253, 278)(255, 280)(256, 282)(258, 285)(259, 287)(261, 290)(263, 293)(264, 295)(266, 298)(267, 268)(269, 301)(271, 304)(272, 306)(274, 309)(276, 312)(277, 314)(279, 317)(281, 319)(283, 322)(284, 324)(286, 327)(288, 329)(289, 331)(291, 334)(292, 336)(294, 338)(296, 341)(297, 343)(299, 346)(300, 347)(302, 350)(303, 352)(305, 355)(307, 357)(308, 359)(310, 362)(311, 364)(313, 366)(315, 369)(316, 371)(318, 374)(320, 353)(321, 378)(323, 361)(325, 348)(326, 367)(328, 356)(330, 363)(332, 370)(333, 351)(335, 358)(337, 365)(339, 354)(340, 373)(342, 360)(344, 394)(345, 368)(349, 399)(372, 415)(375, 417)(376, 409)(377, 403)(379, 419)(380, 411)(381, 405)(382, 398)(383, 408)(384, 402)(385, 416)(386, 420)(387, 404)(388, 397)(389, 410)(390, 401)(391, 414)(392, 418)(393, 412)(395, 406)(396, 423)(400, 425)(407, 426)(413, 424)(421, 427)(422, 428)(429, 432)(430, 431)
	L = (1, 217)(2, 218)(3, 219)(4, 220)(5, 221)(6, 222)(7, 223)(8, 224)(9, 225)(10, 226)(11, 227)(12, 228)(13, 229)(14, 230)(15, 231)(16, 232)(17, 233)(18, 234)(19, 235)(20, 236)(21, 237)(22, 238)(23, 239)(24, 240)(25, 241)(26, 242)(27, 243)(28, 244)(29, 245)(30, 246)(31, 247)(32, 248)(33, 249)(34, 250)(35, 251)(36, 252)(37, 253)(38, 254)(39, 255)(40, 256)(41, 257)(42, 258)(43, 259)(44, 260)(45, 261)(46, 262)(47, 263)(48, 264)(49, 265)(50, 266)(51, 267)(52, 268)(53, 269)(54, 270)(55, 271)(56, 272)(57, 273)(58, 274)(59, 275)(60, 276)(61, 277)(62, 278)(63, 279)(64, 280)(65, 281)(66, 282)(67, 283)(68, 284)(69, 285)(70, 286)(71, 287)(72, 288)(73, 289)(74, 290)(75, 291)(76, 292)(77, 293)(78, 294)(79, 295)(80, 296)(81, 297)(82, 298)(83, 299)(84, 300)(85, 301)(86, 302)(87, 303)(88, 304)(89, 305)(90, 306)(91, 307)(92, 308)(93, 309)(94, 310)(95, 311)(96, 312)(97, 313)(98, 314)(99, 315)(100, 316)(101, 317)(102, 318)(103, 319)(104, 320)(105, 321)(106, 322)(107, 323)(108, 324)(109, 325)(110, 326)(111, 327)(112, 328)(113, 329)(114, 330)(115, 331)(116, 332)(117, 333)(118, 334)(119, 335)(120, 336)(121, 337)(122, 338)(123, 339)(124, 340)(125, 341)(126, 342)(127, 343)(128, 344)(129, 345)(130, 346)(131, 347)(132, 348)(133, 349)(134, 350)(135, 351)(136, 352)(137, 353)(138, 354)(139, 355)(140, 356)(141, 357)(142, 358)(143, 359)(144, 360)(145, 361)(146, 362)(147, 363)(148, 364)(149, 365)(150, 366)(151, 367)(152, 368)(153, 369)(154, 370)(155, 371)(156, 372)(157, 373)(158, 374)(159, 375)(160, 376)(161, 377)(162, 378)(163, 379)(164, 380)(165, 381)(166, 382)(167, 383)(168, 384)(169, 385)(170, 386)(171, 387)(172, 388)(173, 389)(174, 390)(175, 391)(176, 392)(177, 393)(178, 394)(179, 395)(180, 396)(181, 397)(182, 398)(183, 399)(184, 400)(185, 401)(186, 402)(187, 403)(188, 404)(189, 405)(190, 406)(191, 407)(192, 408)(193, 409)(194, 410)(195, 411)(196, 412)(197, 413)(198, 414)(199, 415)(200, 416)(201, 417)(202, 418)(203, 419)(204, 420)(205, 421)(206, 422)(207, 423)(208, 424)(209, 425)(210, 426)(211, 427)(212, 428)(213, 429)(214, 430)(215, 431)(216, 432)
	local type(s) :: { ( 12, 12 ), ( 12^4 ) }
Outer automorphisms :: reflexible
Dual of E10.915
Transitivity :: ET+
Graph:: simple bipartite
	v = 162 e = 216 f = 36
	degree seq :: [ 2^108, 4^54 ]

E10.912 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 4, 6})
Quotient :: edge
Aut^+ = (((C3 x C3) : C3) : C4) : C2 (small group id <216, 87>)
Aut   = $<432, 530>$ (small group id <432, 530>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, T1^4, (T2^-1 * T1^-1)^2, T2^6, (T2 * T1^-1 * T2 * T1^-1 * T2)^2, T2 * T1^-1 * T2^-1 * T1 * T2^2 * T1 * T2^-2 * T1^-2 * T2^-2 * T1^-1 ]
Map:: polyhedral non-degenerate
	R = (1, 3, 10, 24, 14, 5)(2, 7, 17, 37, 20, 8)(4, 12, 27, 46, 22, 9)(6, 15, 32, 63, 35, 16)(11, 26, 52, 91, 48, 23)(13, 29, 57, 104, 60, 30)(18, 39, 74, 124, 70, 36)(19, 40, 76, 132, 79, 41)(21, 43, 81, 138, 84, 44)(25, 51, 95, 154, 93, 49)(28, 56, 101, 160, 99, 54)(31, 50, 94, 155, 108, 61)(33, 65, 114, 170, 110, 62)(34, 66, 116, 178, 119, 67)(38, 73, 128, 190, 126, 71)(42, 72, 127, 191, 136, 80)(45, 85, 143, 202, 145, 86)(47, 88, 147, 204, 149, 89)(53, 97, 59, 107, 156, 96)(55, 100, 161, 203, 146, 87)(58, 106, 166, 193, 164, 103)(64, 113, 174, 211, 172, 111)(68, 112, 173, 212, 182, 120)(69, 121, 183, 148, 185, 122)(75, 130, 78, 135, 192, 129)(77, 134, 196, 214, 194, 131)(82, 140, 200, 163, 198, 137)(83, 141, 201, 162, 102, 142)(90, 150, 171, 165, 105, 151)(92, 152, 179, 210, 169, 153)(98, 157, 205, 208, 206, 158)(109, 167, 207, 184, 209, 168)(115, 176, 118, 181, 213, 175)(117, 180, 216, 197, 215, 177)(123, 186, 144, 195, 133, 187)(125, 188, 139, 199, 159, 189)(217, 218, 222, 220)(219, 225, 237, 227)(221, 229, 234, 223)(224, 235, 249, 231)(226, 239, 263, 241)(228, 232, 250, 244)(230, 247, 274, 245)(233, 252, 285, 254)(236, 258, 293, 256)(238, 261, 298, 259)(240, 265, 308, 266)(242, 260, 299, 269)(243, 270, 314, 271)(246, 275, 291, 255)(248, 278, 325, 280)(251, 284, 333, 282)(253, 287, 341, 288)(257, 294, 331, 281)(262, 303, 360, 301)(264, 306, 364, 304)(267, 305, 351, 295)(268, 312, 350, 296)(272, 283, 334, 318)(273, 319, 379, 321)(276, 316, 374, 323)(277, 317, 378, 322)(279, 327, 387, 328)(286, 339, 400, 337)(289, 338, 397, 335)(290, 345, 396, 336)(292, 347, 409, 349)(297, 353, 413, 355)(300, 329, 384, 357)(302, 330, 391, 356)(307, 352, 389, 366)(309, 344, 394, 368)(310, 369, 386, 361)(311, 348, 411, 362)(313, 358, 392, 346)(315, 375, 420, 373)(320, 381, 388, 377)(324, 343, 405, 376)(326, 385, 424, 383)(332, 393, 430, 395)(340, 398, 359, 402)(342, 390, 354, 404)(363, 399, 423, 421)(365, 415, 432, 408)(367, 416, 429, 401)(370, 419, 427, 406)(371, 418, 428, 407)(372, 422, 426, 412)(380, 410, 431, 414)(382, 417, 425, 403)
	L = (1, 217)(2, 218)(3, 219)(4, 220)(5, 221)(6, 222)(7, 223)(8, 224)(9, 225)(10, 226)(11, 227)(12, 228)(13, 229)(14, 230)(15, 231)(16, 232)(17, 233)(18, 234)(19, 235)(20, 236)(21, 237)(22, 238)(23, 239)(24, 240)(25, 241)(26, 242)(27, 243)(28, 244)(29, 245)(30, 246)(31, 247)(32, 248)(33, 249)(34, 250)(35, 251)(36, 252)(37, 253)(38, 254)(39, 255)(40, 256)(41, 257)(42, 258)(43, 259)(44, 260)(45, 261)(46, 262)(47, 263)(48, 264)(49, 265)(50, 266)(51, 267)(52, 268)(53, 269)(54, 270)(55, 271)(56, 272)(57, 273)(58, 274)(59, 275)(60, 276)(61, 277)(62, 278)(63, 279)(64, 280)(65, 281)(66, 282)(67, 283)(68, 284)(69, 285)(70, 286)(71, 287)(72, 288)(73, 289)(74, 290)(75, 291)(76, 292)(77, 293)(78, 294)(79, 295)(80, 296)(81, 297)(82, 298)(83, 299)(84, 300)(85, 301)(86, 302)(87, 303)(88, 304)(89, 305)(90, 306)(91, 307)(92, 308)(93, 309)(94, 310)(95, 311)(96, 312)(97, 313)(98, 314)(99, 315)(100, 316)(101, 317)(102, 318)(103, 319)(104, 320)(105, 321)(106, 322)(107, 323)(108, 324)(109, 325)(110, 326)(111, 327)(112, 328)(113, 329)(114, 330)(115, 331)(116, 332)(117, 333)(118, 334)(119, 335)(120, 336)(121, 337)(122, 338)(123, 339)(124, 340)(125, 341)(126, 342)(127, 343)(128, 344)(129, 345)(130, 346)(131, 347)(132, 348)(133, 349)(134, 350)(135, 351)(136, 352)(137, 353)(138, 354)(139, 355)(140, 356)(141, 357)(142, 358)(143, 359)(144, 360)(145, 361)(146, 362)(147, 363)(148, 364)(149, 365)(150, 366)(151, 367)(152, 368)(153, 369)(154, 370)(155, 371)(156, 372)(157, 373)(158, 374)(159, 375)(160, 376)(161, 377)(162, 378)(163, 379)(164, 380)(165, 381)(166, 382)(167, 383)(168, 384)(169, 385)(170, 386)(171, 387)(172, 388)(173, 389)(174, 390)(175, 391)(176, 392)(177, 393)(178, 394)(179, 395)(180, 396)(181, 397)(182, 398)(183, 399)(184, 400)(185, 401)(186, 402)(187, 403)(188, 404)(189, 405)(190, 406)(191, 407)(192, 408)(193, 409)(194, 410)(195, 411)(196, 412)(197, 413)(198, 414)(199, 415)(200, 416)(201, 417)(202, 418)(203, 419)(204, 420)(205, 421)(206, 422)(207, 423)(208, 424)(209, 425)(210, 426)(211, 427)(212, 428)(213, 429)(214, 430)(215, 431)(216, 432)
	local type(s) :: { ( 4^4 ), ( 4^6 ) }
Outer automorphisms :: reflexible
Dual of E10.916
Transitivity :: ET+
Graph:: simple bipartite
	v = 90 e = 216 f = 108
	degree seq :: [ 4^54, 6^36 ]

E10.913 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 4, 6})
Quotient :: edge
Aut^+ = (((C3 x C3) : C3) : C4) : C2 (small group id <216, 87>)
Aut   = $<432, 530>$ (small group id <432, 530>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T1^6, (T2 * T1)^4, (T2 * T1^-3 * T2 * T1^-2)^2, (T2 * T1^2 * T2 * T1^-3)^2, T2 * T1^2 * T2 * T1^-1 * T2 * T1 * T2 * T1^-2 * T2 * T1 * T2 * T1^-1 ]
Map:: polytopal
	R = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 17)(10, 21)(11, 22)(13, 26)(14, 27)(15, 30)(18, 34)(19, 36)(20, 31)(23, 43)(24, 44)(25, 47)(28, 50)(29, 51)(32, 55)(33, 58)(35, 62)(37, 65)(38, 67)(39, 63)(40, 70)(41, 71)(42, 74)(45, 77)(46, 78)(48, 81)(49, 84)(52, 90)(53, 91)(54, 94)(56, 96)(57, 97)(59, 101)(60, 98)(61, 103)(64, 107)(66, 112)(68, 114)(69, 116)(72, 119)(73, 120)(75, 123)(76, 126)(79, 132)(80, 133)(82, 136)(83, 137)(85, 141)(86, 138)(87, 144)(88, 145)(89, 146)(92, 148)(93, 149)(95, 152)(99, 157)(100, 159)(102, 161)(104, 163)(105, 155)(106, 165)(108, 160)(109, 166)(110, 150)(111, 143)(113, 158)(115, 168)(117, 169)(118, 172)(121, 174)(122, 175)(124, 177)(125, 178)(127, 180)(128, 179)(129, 181)(130, 182)(131, 183)(134, 185)(135, 186)(139, 190)(140, 191)(142, 192)(147, 193)(151, 196)(153, 197)(154, 200)(156, 201)(162, 194)(164, 199)(167, 203)(170, 204)(171, 205)(173, 206)(176, 208)(184, 210)(187, 211)(188, 213)(189, 214)(195, 215)(198, 209)(202, 212)(207, 216)(217, 218, 221, 227, 226, 220)(219, 223, 231, 245, 234, 224)(222, 229, 241, 262, 244, 230)(225, 235, 251, 277, 253, 236)(228, 239, 258, 289, 261, 240)(232, 247, 270, 309, 272, 248)(233, 249, 273, 298, 264, 242)(237, 254, 282, 327, 284, 255)(238, 256, 285, 331, 288, 257)(243, 265, 299, 340, 291, 259)(246, 268, 305, 335, 308, 269)(250, 275, 316, 332, 318, 276)(252, 279, 322, 380, 324, 280)(260, 292, 341, 386, 333, 286)(263, 295, 347, 330, 350, 296)(266, 301, 356, 328, 358, 302)(267, 303, 359, 389, 336, 304)(271, 311, 342, 395, 363, 306)(274, 314, 372, 408, 374, 315)(278, 320, 344, 293, 343, 321)(281, 325, 338, 290, 337, 326)(283, 287, 334, 387, 383, 329)(294, 345, 319, 378, 384, 346)(297, 351, 388, 362, 400, 348)(300, 354, 405, 379, 323, 355)(307, 353, 404, 420, 401, 360)(310, 366, 411, 377, 385, 367)(312, 357, 398, 375, 415, 369)(313, 370, 393, 364, 410, 371)(317, 361, 391, 421, 418, 376)(339, 392, 381, 399, 423, 390)(349, 394, 425, 419, 382, 397)(352, 396, 422, 407, 365, 403)(368, 413, 424, 416, 373, 414)(402, 427, 412, 429, 406, 428)(409, 430, 417, 431, 432, 426)
	L = (1, 217)(2, 218)(3, 219)(4, 220)(5, 221)(6, 222)(7, 223)(8, 224)(9, 225)(10, 226)(11, 227)(12, 228)(13, 229)(14, 230)(15, 231)(16, 232)(17, 233)(18, 234)(19, 235)(20, 236)(21, 237)(22, 238)(23, 239)(24, 240)(25, 241)(26, 242)(27, 243)(28, 244)(29, 245)(30, 246)(31, 247)(32, 248)(33, 249)(34, 250)(35, 251)(36, 252)(37, 253)(38, 254)(39, 255)(40, 256)(41, 257)(42, 258)(43, 259)(44, 260)(45, 261)(46, 262)(47, 263)(48, 264)(49, 265)(50, 266)(51, 267)(52, 268)(53, 269)(54, 270)(55, 271)(56, 272)(57, 273)(58, 274)(59, 275)(60, 276)(61, 277)(62, 278)(63, 279)(64, 280)(65, 281)(66, 282)(67, 283)(68, 284)(69, 285)(70, 286)(71, 287)(72, 288)(73, 289)(74, 290)(75, 291)(76, 292)(77, 293)(78, 294)(79, 295)(80, 296)(81, 297)(82, 298)(83, 299)(84, 300)(85, 301)(86, 302)(87, 303)(88, 304)(89, 305)(90, 306)(91, 307)(92, 308)(93, 309)(94, 310)(95, 311)(96, 312)(97, 313)(98, 314)(99, 315)(100, 316)(101, 317)(102, 318)(103, 319)(104, 320)(105, 321)(106, 322)(107, 323)(108, 324)(109, 325)(110, 326)(111, 327)(112, 328)(113, 329)(114, 330)(115, 331)(116, 332)(117, 333)(118, 334)(119, 335)(120, 336)(121, 337)(122, 338)(123, 339)(124, 340)(125, 341)(126, 342)(127, 343)(128, 344)(129, 345)(130, 346)(131, 347)(132, 348)(133, 349)(134, 350)(135, 351)(136, 352)(137, 353)(138, 354)(139, 355)(140, 356)(141, 357)(142, 358)(143, 359)(144, 360)(145, 361)(146, 362)(147, 363)(148, 364)(149, 365)(150, 366)(151, 367)(152, 368)(153, 369)(154, 370)(155, 371)(156, 372)(157, 373)(158, 374)(159, 375)(160, 376)(161, 377)(162, 378)(163, 379)(164, 380)(165, 381)(166, 382)(167, 383)(168, 384)(169, 385)(170, 386)(171, 387)(172, 388)(173, 389)(174, 390)(175, 391)(176, 392)(177, 393)(178, 394)(179, 395)(180, 396)(181, 397)(182, 398)(183, 399)(184, 400)(185, 401)(186, 402)(187, 403)(188, 404)(189, 405)(190, 406)(191, 407)(192, 408)(193, 409)(194, 410)(195, 411)(196, 412)(197, 413)(198, 414)(199, 415)(200, 416)(201, 417)(202, 418)(203, 419)(204, 420)(205, 421)(206, 422)(207, 423)(208, 424)(209, 425)(210, 426)(211, 427)(212, 428)(213, 429)(214, 430)(215, 431)(216, 432)
	local type(s) :: { ( 8, 8 ), ( 8^6 ) }
Outer automorphisms :: reflexible
Dual of E10.914
Transitivity :: ET+
Graph:: simple bipartite
	v = 144 e = 216 f = 54
	degree seq :: [ 2^108, 6^36 ]

E10.914 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 4, 6})
Quotient :: loop
Aut^+ = (((C3 x C3) : C3) : C4) : C2 (small group id <216, 87>)
Aut   = $<432, 530>$ (small group id <432, 530>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T1)^2, (F * T2)^2, T2^4, (T2^-1 * T1)^6, (T2^-1 * T1 * T2 * T1 * T2^-2 * T1 * T2^-1)^2, (T2^-2 * T1 * T2^-1 * T1 * T2^-2 * T1)^2, T2 * T1 * T2 * T1 * T2^-1 * T1 * T2 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2 * T1 * T2^-1 * T1 ]
Map::
	R = (1, 217, 3, 219, 8, 224, 4, 220)(2, 218, 5, 221, 11, 227, 6, 222)(7, 223, 13, 229, 24, 240, 14, 230)(9, 225, 16, 232, 29, 245, 17, 233)(10, 226, 18, 234, 32, 248, 19, 235)(12, 228, 21, 237, 37, 253, 22, 238)(15, 231, 26, 242, 45, 261, 27, 243)(20, 236, 34, 250, 58, 274, 35, 251)(23, 239, 39, 255, 65, 281, 40, 256)(25, 241, 42, 258, 70, 286, 43, 259)(28, 244, 47, 263, 78, 294, 48, 264)(30, 246, 50, 266, 83, 299, 51, 267)(31, 247, 52, 268, 84, 300, 53, 269)(33, 249, 55, 271, 89, 305, 56, 272)(36, 252, 60, 276, 97, 313, 61, 277)(38, 254, 63, 279, 102, 318, 64, 280)(41, 257, 67, 283, 107, 323, 68, 284)(44, 260, 72, 288, 114, 330, 73, 289)(46, 262, 75, 291, 119, 335, 76, 292)(49, 265, 80, 296, 126, 342, 81, 297)(54, 270, 86, 302, 135, 351, 87, 303)(57, 273, 91, 307, 142, 358, 92, 308)(59, 275, 94, 310, 147, 363, 95, 311)(62, 278, 99, 315, 154, 370, 100, 316)(66, 282, 104, 320, 161, 377, 105, 321)(69, 285, 109, 325, 167, 383, 110, 326)(71, 287, 112, 328, 170, 386, 113, 329)(74, 290, 116, 332, 173, 389, 117, 333)(77, 293, 120, 336, 176, 392, 121, 337)(79, 295, 123, 339, 177, 393, 124, 340)(82, 298, 128, 344, 179, 395, 129, 345)(85, 301, 132, 348, 182, 398, 133, 349)(88, 304, 137, 353, 188, 404, 138, 354)(90, 306, 140, 356, 191, 407, 141, 357)(93, 309, 144, 360, 194, 410, 145, 361)(96, 312, 148, 364, 197, 413, 149, 365)(98, 314, 151, 367, 198, 414, 152, 368)(101, 317, 156, 372, 200, 416, 157, 373)(103, 319, 159, 375, 127, 343, 160, 376)(106, 322, 163, 379, 130, 346, 164, 380)(108, 324, 165, 381, 122, 338, 166, 382)(111, 327, 168, 384, 125, 341, 169, 385)(115, 331, 171, 387, 205, 421, 172, 388)(118, 334, 174, 390, 206, 422, 175, 391)(131, 347, 180, 396, 155, 371, 181, 397)(134, 350, 184, 400, 158, 374, 185, 401)(136, 352, 186, 402, 150, 366, 187, 403)(139, 355, 189, 405, 153, 369, 190, 406)(143, 359, 192, 408, 211, 427, 193, 409)(146, 362, 195, 411, 212, 428, 196, 412)(162, 378, 202, 418, 214, 430, 203, 419)(178, 394, 201, 417, 213, 429, 204, 420)(183, 399, 208, 424, 216, 432, 209, 425)(199, 415, 207, 423, 215, 431, 210, 426)
	L = (1, 218)(2, 217)(3, 223)(4, 225)(5, 226)(6, 228)(7, 219)(8, 231)(9, 220)(10, 221)(11, 236)(12, 222)(13, 239)(14, 241)(15, 224)(16, 244)(17, 246)(18, 247)(19, 249)(20, 227)(21, 252)(22, 254)(23, 229)(24, 257)(25, 230)(26, 260)(27, 262)(28, 232)(29, 265)(30, 233)(31, 234)(32, 270)(33, 235)(34, 273)(35, 275)(36, 237)(37, 278)(38, 238)(39, 280)(40, 282)(41, 240)(42, 285)(43, 287)(44, 242)(45, 290)(46, 243)(47, 293)(48, 295)(49, 245)(50, 298)(51, 268)(52, 267)(53, 301)(54, 248)(55, 304)(56, 306)(57, 250)(58, 309)(59, 251)(60, 312)(61, 314)(62, 253)(63, 317)(64, 255)(65, 319)(66, 256)(67, 322)(68, 324)(69, 258)(70, 327)(71, 259)(72, 329)(73, 331)(74, 261)(75, 334)(76, 336)(77, 263)(78, 338)(79, 264)(80, 341)(81, 343)(82, 266)(83, 346)(84, 347)(85, 269)(86, 350)(87, 352)(88, 271)(89, 355)(90, 272)(91, 357)(92, 359)(93, 274)(94, 362)(95, 364)(96, 276)(97, 366)(98, 277)(99, 369)(100, 371)(101, 279)(102, 374)(103, 281)(104, 353)(105, 378)(106, 283)(107, 361)(108, 284)(109, 348)(110, 367)(111, 286)(112, 356)(113, 288)(114, 363)(115, 289)(116, 370)(117, 351)(118, 291)(119, 358)(120, 292)(121, 365)(122, 294)(123, 354)(124, 373)(125, 296)(126, 360)(127, 297)(128, 394)(129, 368)(130, 299)(131, 300)(132, 325)(133, 399)(134, 302)(135, 333)(136, 303)(137, 320)(138, 339)(139, 305)(140, 328)(141, 307)(142, 335)(143, 308)(144, 342)(145, 323)(146, 310)(147, 330)(148, 311)(149, 337)(150, 313)(151, 326)(152, 345)(153, 315)(154, 332)(155, 316)(156, 415)(157, 340)(158, 318)(159, 417)(160, 409)(161, 403)(162, 321)(163, 419)(164, 411)(165, 405)(166, 398)(167, 408)(168, 402)(169, 416)(170, 420)(171, 404)(172, 397)(173, 410)(174, 401)(175, 414)(176, 418)(177, 412)(178, 344)(179, 406)(180, 423)(181, 388)(182, 382)(183, 349)(184, 425)(185, 390)(186, 384)(187, 377)(188, 387)(189, 381)(190, 395)(191, 426)(192, 383)(193, 376)(194, 389)(195, 380)(196, 393)(197, 424)(198, 391)(199, 372)(200, 385)(201, 375)(202, 392)(203, 379)(204, 386)(205, 427)(206, 428)(207, 396)(208, 413)(209, 400)(210, 407)(211, 421)(212, 422)(213, 432)(214, 431)(215, 430)(216, 429)
	local type(s) :: { ( 2, 6, 2, 6, 2, 6, 2, 6 ) }
Outer automorphisms :: reflexible
Dual of E10.913
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 54 e = 216 f = 144
	degree seq :: [ 8^54 ]

E10.915 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 4, 6})
Quotient :: loop
Aut^+ = (((C3 x C3) : C3) : C4) : C2 (small group id <216, 87>)
Aut   = $<432, 530>$ (small group id <432, 530>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, T1^4, (T2^-1 * T1^-1)^2, T2^6, (T2 * T1^-1 * T2 * T1^-1 * T2)^2, T2 * T1^-1 * T2^-1 * T1 * T2^2 * T1 * T2^-2 * T1^-2 * T2^-2 * T1^-1 ]
Map::
	R = (1, 217, 3, 219, 10, 226, 24, 240, 14, 230, 5, 221)(2, 218, 7, 223, 17, 233, 37, 253, 20, 236, 8, 224)(4, 220, 12, 228, 27, 243, 46, 262, 22, 238, 9, 225)(6, 222, 15, 231, 32, 248, 63, 279, 35, 251, 16, 232)(11, 227, 26, 242, 52, 268, 91, 307, 48, 264, 23, 239)(13, 229, 29, 245, 57, 273, 104, 320, 60, 276, 30, 246)(18, 234, 39, 255, 74, 290, 124, 340, 70, 286, 36, 252)(19, 235, 40, 256, 76, 292, 132, 348, 79, 295, 41, 257)(21, 237, 43, 259, 81, 297, 138, 354, 84, 300, 44, 260)(25, 241, 51, 267, 95, 311, 154, 370, 93, 309, 49, 265)(28, 244, 56, 272, 101, 317, 160, 376, 99, 315, 54, 270)(31, 247, 50, 266, 94, 310, 155, 371, 108, 324, 61, 277)(33, 249, 65, 281, 114, 330, 170, 386, 110, 326, 62, 278)(34, 250, 66, 282, 116, 332, 178, 394, 119, 335, 67, 283)(38, 254, 73, 289, 128, 344, 190, 406, 126, 342, 71, 287)(42, 258, 72, 288, 127, 343, 191, 407, 136, 352, 80, 296)(45, 261, 85, 301, 143, 359, 202, 418, 145, 361, 86, 302)(47, 263, 88, 304, 147, 363, 204, 420, 149, 365, 89, 305)(53, 269, 97, 313, 59, 275, 107, 323, 156, 372, 96, 312)(55, 271, 100, 316, 161, 377, 203, 419, 146, 362, 87, 303)(58, 274, 106, 322, 166, 382, 193, 409, 164, 380, 103, 319)(64, 280, 113, 329, 174, 390, 211, 427, 172, 388, 111, 327)(68, 284, 112, 328, 173, 389, 212, 428, 182, 398, 120, 336)(69, 285, 121, 337, 183, 399, 148, 364, 185, 401, 122, 338)(75, 291, 130, 346, 78, 294, 135, 351, 192, 408, 129, 345)(77, 293, 134, 350, 196, 412, 214, 430, 194, 410, 131, 347)(82, 298, 140, 356, 200, 416, 163, 379, 198, 414, 137, 353)(83, 299, 141, 357, 201, 417, 162, 378, 102, 318, 142, 358)(90, 306, 150, 366, 171, 387, 165, 381, 105, 321, 151, 367)(92, 308, 152, 368, 179, 395, 210, 426, 169, 385, 153, 369)(98, 314, 157, 373, 205, 421, 208, 424, 206, 422, 158, 374)(109, 325, 167, 383, 207, 423, 184, 400, 209, 425, 168, 384)(115, 331, 176, 392, 118, 334, 181, 397, 213, 429, 175, 391)(117, 333, 180, 396, 216, 432, 197, 413, 215, 431, 177, 393)(123, 339, 186, 402, 144, 360, 195, 411, 133, 349, 187, 403)(125, 341, 188, 404, 139, 355, 199, 415, 159, 375, 189, 405)
	L = (1, 218)(2, 222)(3, 225)(4, 217)(5, 229)(6, 220)(7, 221)(8, 235)(9, 237)(10, 239)(11, 219)(12, 232)(13, 234)(14, 247)(15, 224)(16, 250)(17, 252)(18, 223)(19, 249)(20, 258)(21, 227)(22, 261)(23, 263)(24, 265)(25, 226)(26, 260)(27, 270)(28, 228)(29, 230)(30, 275)(31, 274)(32, 278)(33, 231)(34, 244)(35, 284)(36, 285)(37, 287)(38, 233)(39, 246)(40, 236)(41, 294)(42, 293)(43, 238)(44, 299)(45, 298)(46, 303)(47, 241)(48, 306)(49, 308)(50, 240)(51, 305)(52, 312)(53, 242)(54, 314)(55, 243)(56, 283)(57, 319)(58, 245)(59, 291)(60, 316)(61, 317)(62, 325)(63, 327)(64, 248)(65, 257)(66, 251)(67, 334)(68, 333)(69, 254)(70, 339)(71, 341)(72, 253)(73, 338)(74, 345)(75, 255)(76, 347)(77, 256)(78, 331)(79, 267)(80, 268)(81, 353)(82, 259)(83, 269)(84, 329)(85, 262)(86, 330)(87, 360)(88, 264)(89, 351)(90, 364)(91, 352)(92, 266)(93, 344)(94, 369)(95, 348)(96, 350)(97, 358)(98, 271)(99, 375)(100, 374)(101, 378)(102, 272)(103, 379)(104, 381)(105, 273)(106, 277)(107, 276)(108, 343)(109, 280)(110, 385)(111, 387)(112, 279)(113, 384)(114, 391)(115, 281)(116, 393)(117, 282)(118, 318)(119, 289)(120, 290)(121, 286)(122, 397)(123, 400)(124, 398)(125, 288)(126, 390)(127, 405)(128, 394)(129, 396)(130, 313)(131, 409)(132, 411)(133, 292)(134, 296)(135, 295)(136, 389)(137, 413)(138, 404)(139, 297)(140, 302)(141, 300)(142, 392)(143, 402)(144, 301)(145, 310)(146, 311)(147, 399)(148, 304)(149, 415)(150, 307)(151, 416)(152, 309)(153, 386)(154, 419)(155, 418)(156, 422)(157, 315)(158, 323)(159, 420)(160, 324)(161, 320)(162, 322)(163, 321)(164, 410)(165, 388)(166, 417)(167, 326)(168, 357)(169, 424)(170, 361)(171, 328)(172, 377)(173, 366)(174, 354)(175, 356)(176, 346)(177, 430)(178, 368)(179, 332)(180, 336)(181, 335)(182, 359)(183, 423)(184, 337)(185, 367)(186, 340)(187, 382)(188, 342)(189, 376)(190, 370)(191, 371)(192, 365)(193, 349)(194, 431)(195, 362)(196, 372)(197, 355)(198, 380)(199, 432)(200, 429)(201, 425)(202, 428)(203, 427)(204, 373)(205, 363)(206, 426)(207, 421)(208, 383)(209, 403)(210, 412)(211, 406)(212, 407)(213, 401)(214, 395)(215, 414)(216, 408)
	local type(s) :: { ( 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4 ) }
Outer automorphisms :: reflexible
Dual of E10.911
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 36 e = 216 f = 162
	degree seq :: [ 12^36 ]

E10.916 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 4, 6})
Quotient :: loop
Aut^+ = (((C3 x C3) : C3) : C4) : C2 (small group id <216, 87>)
Aut   = $<432, 530>$ (small group id <432, 530>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T1^6, (T2 * T1)^4, (T2 * T1^-3 * T2 * T1^-2)^2, (T2 * T1^2 * T2 * T1^-3)^2, T2 * T1^2 * T2 * T1^-1 * T2 * T1 * T2 * T1^-2 * T2 * T1 * T2 * T1^-1 ]
Map:: polyhedral non-degenerate
	R = (1, 217, 3, 219)(2, 218, 6, 222)(4, 220, 9, 225)(5, 221, 12, 228)(7, 223, 16, 232)(8, 224, 17, 233)(10, 226, 21, 237)(11, 227, 22, 238)(13, 229, 26, 242)(14, 230, 27, 243)(15, 231, 30, 246)(18, 234, 34, 250)(19, 235, 36, 252)(20, 236, 31, 247)(23, 239, 43, 259)(24, 240, 44, 260)(25, 241, 47, 263)(28, 244, 50, 266)(29, 245, 51, 267)(32, 248, 55, 271)(33, 249, 58, 274)(35, 251, 62, 278)(37, 253, 65, 281)(38, 254, 67, 283)(39, 255, 63, 279)(40, 256, 70, 286)(41, 257, 71, 287)(42, 258, 74, 290)(45, 261, 77, 293)(46, 262, 78, 294)(48, 264, 81, 297)(49, 265, 84, 300)(52, 268, 90, 306)(53, 269, 91, 307)(54, 270, 94, 310)(56, 272, 96, 312)(57, 273, 97, 313)(59, 275, 101, 317)(60, 276, 98, 314)(61, 277, 103, 319)(64, 280, 107, 323)(66, 282, 112, 328)(68, 284, 114, 330)(69, 285, 116, 332)(72, 288, 119, 335)(73, 289, 120, 336)(75, 291, 123, 339)(76, 292, 126, 342)(79, 295, 132, 348)(80, 296, 133, 349)(82, 298, 136, 352)(83, 299, 137, 353)(85, 301, 141, 357)(86, 302, 138, 354)(87, 303, 144, 360)(88, 304, 145, 361)(89, 305, 146, 362)(92, 308, 148, 364)(93, 309, 149, 365)(95, 311, 152, 368)(99, 315, 157, 373)(100, 316, 159, 375)(102, 318, 161, 377)(104, 320, 163, 379)(105, 321, 155, 371)(106, 322, 165, 381)(108, 324, 160, 376)(109, 325, 166, 382)(110, 326, 150, 366)(111, 327, 143, 359)(113, 329, 158, 374)(115, 331, 168, 384)(117, 333, 169, 385)(118, 334, 172, 388)(121, 337, 174, 390)(122, 338, 175, 391)(124, 340, 177, 393)(125, 341, 178, 394)(127, 343, 180, 396)(128, 344, 179, 395)(129, 345, 181, 397)(130, 346, 182, 398)(131, 347, 183, 399)(134, 350, 185, 401)(135, 351, 186, 402)(139, 355, 190, 406)(140, 356, 191, 407)(142, 358, 192, 408)(147, 363, 193, 409)(151, 367, 196, 412)(153, 369, 197, 413)(154, 370, 200, 416)(156, 372, 201, 417)(162, 378, 194, 410)(164, 380, 199, 415)(167, 383, 203, 419)(170, 386, 204, 420)(171, 387, 205, 421)(173, 389, 206, 422)(176, 392, 208, 424)(184, 400, 210, 426)(187, 403, 211, 427)(188, 404, 213, 429)(189, 405, 214, 430)(195, 411, 215, 431)(198, 414, 209, 425)(202, 418, 212, 428)(207, 423, 216, 432)
	L = (1, 218)(2, 221)(3, 223)(4, 217)(5, 227)(6, 229)(7, 231)(8, 219)(9, 235)(10, 220)(11, 226)(12, 239)(13, 241)(14, 222)(15, 245)(16, 247)(17, 249)(18, 224)(19, 251)(20, 225)(21, 254)(22, 256)(23, 258)(24, 228)(25, 262)(26, 233)(27, 265)(28, 230)(29, 234)(30, 268)(31, 270)(32, 232)(33, 273)(34, 275)(35, 277)(36, 279)(37, 236)(38, 282)(39, 237)(40, 285)(41, 238)(42, 289)(43, 243)(44, 292)(45, 240)(46, 244)(47, 295)(48, 242)(49, 299)(50, 301)(51, 303)(52, 305)(53, 246)(54, 309)(55, 311)(56, 248)(57, 298)(58, 314)(59, 316)(60, 250)(61, 253)(62, 320)(63, 322)(64, 252)(65, 325)(66, 327)(67, 287)(68, 255)(69, 331)(70, 260)(71, 334)(72, 257)(73, 261)(74, 337)(75, 259)(76, 341)(77, 343)(78, 345)(79, 347)(80, 263)(81, 351)(82, 264)(83, 340)(84, 354)(85, 356)(86, 266)(87, 359)(88, 267)(89, 335)(90, 271)(91, 353)(92, 269)(93, 272)(94, 366)(95, 342)(96, 357)(97, 370)(98, 372)(99, 274)(100, 332)(101, 361)(102, 276)(103, 378)(104, 344)(105, 278)(106, 380)(107, 355)(108, 280)(109, 338)(110, 281)(111, 284)(112, 358)(113, 283)(114, 350)(115, 288)(116, 318)(117, 286)(118, 387)(119, 308)(120, 304)(121, 326)(122, 290)(123, 392)(124, 291)(125, 386)(126, 395)(127, 321)(128, 293)(129, 319)(130, 294)(131, 330)(132, 297)(133, 394)(134, 296)(135, 388)(136, 396)(137, 404)(138, 405)(139, 300)(140, 328)(141, 398)(142, 302)(143, 389)(144, 307)(145, 391)(146, 400)(147, 306)(148, 410)(149, 403)(150, 411)(151, 310)(152, 413)(153, 312)(154, 393)(155, 313)(156, 408)(157, 414)(158, 315)(159, 415)(160, 317)(161, 385)(162, 384)(163, 323)(164, 324)(165, 399)(166, 397)(167, 329)(168, 346)(169, 367)(170, 333)(171, 383)(172, 362)(173, 336)(174, 339)(175, 421)(176, 381)(177, 364)(178, 425)(179, 363)(180, 422)(181, 349)(182, 375)(183, 423)(184, 348)(185, 360)(186, 427)(187, 352)(188, 420)(189, 379)(190, 428)(191, 365)(192, 374)(193, 430)(194, 371)(195, 377)(196, 429)(197, 424)(198, 368)(199, 369)(200, 373)(201, 431)(202, 376)(203, 382)(204, 401)(205, 418)(206, 407)(207, 390)(208, 416)(209, 419)(210, 409)(211, 412)(212, 402)(213, 406)(214, 417)(215, 432)(216, 426)
	local type(s) :: { ( 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible
Dual of E10.912
Transitivity :: ET+ VT+ AT
Graph:: simple bipartite
	v = 108 e = 216 f = 90
	degree seq :: [ 4^108 ]

E10.917 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 6})
Quotient :: dipole
Aut^+ = (((C3 x C3) : C3) : C4) : C2 (small group id <216, 87>)
Aut   = $<432, 530>$ (small group id <432, 530>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, (R * Y3)^2, (R * Y1)^2, Y2^4, (R * Y2 * Y3^-1)^2, (Y3 * Y2^-1)^6, (Y2^-1 * Y1 * Y2 * Y1 * Y2^-2 * Y1 * Y2^-1)^2, (Y2^-2 * Y1 * Y2^-1 * Y1 * Y2^-2 * Y1)^2, Y2 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2 * Y1 * Y2^-1 * Y1 ]
Map::
	R = (1, 217, 2, 218)(3, 219, 7, 223)(4, 220, 9, 225)(5, 221, 10, 226)(6, 222, 12, 228)(8, 224, 15, 231)(11, 227, 20, 236)(13, 229, 23, 239)(14, 230, 25, 241)(16, 232, 28, 244)(17, 233, 30, 246)(18, 234, 31, 247)(19, 235, 33, 249)(21, 237, 36, 252)(22, 238, 38, 254)(24, 240, 41, 257)(26, 242, 44, 260)(27, 243, 46, 262)(29, 245, 49, 265)(32, 248, 54, 270)(34, 250, 57, 273)(35, 251, 59, 275)(37, 253, 62, 278)(39, 255, 64, 280)(40, 256, 66, 282)(42, 258, 69, 285)(43, 259, 71, 287)(45, 261, 74, 290)(47, 263, 77, 293)(48, 264, 79, 295)(50, 266, 82, 298)(51, 267, 52, 268)(53, 269, 85, 301)(55, 271, 88, 304)(56, 272, 90, 306)(58, 274, 93, 309)(60, 276, 96, 312)(61, 277, 98, 314)(63, 279, 101, 317)(65, 281, 103, 319)(67, 283, 106, 322)(68, 284, 108, 324)(70, 286, 111, 327)(72, 288, 113, 329)(73, 289, 115, 331)(75, 291, 118, 334)(76, 292, 120, 336)(78, 294, 122, 338)(80, 296, 125, 341)(81, 297, 127, 343)(83, 299, 130, 346)(84, 300, 131, 347)(86, 302, 134, 350)(87, 303, 136, 352)(89, 305, 139, 355)(91, 307, 141, 357)(92, 308, 143, 359)(94, 310, 146, 362)(95, 311, 148, 364)(97, 313, 150, 366)(99, 315, 153, 369)(100, 316, 155, 371)(102, 318, 158, 374)(104, 320, 137, 353)(105, 321, 162, 378)(107, 323, 145, 361)(109, 325, 132, 348)(110, 326, 151, 367)(112, 328, 140, 356)(114, 330, 147, 363)(116, 332, 154, 370)(117, 333, 135, 351)(119, 335, 142, 358)(121, 337, 149, 365)(123, 339, 138, 354)(124, 340, 157, 373)(126, 342, 144, 360)(128, 344, 178, 394)(129, 345, 152, 368)(133, 349, 183, 399)(156, 372, 199, 415)(159, 375, 201, 417)(160, 376, 193, 409)(161, 377, 187, 403)(163, 379, 203, 419)(164, 380, 195, 411)(165, 381, 189, 405)(166, 382, 182, 398)(167, 383, 192, 408)(168, 384, 186, 402)(169, 385, 200, 416)(170, 386, 204, 420)(171, 387, 188, 404)(172, 388, 181, 397)(173, 389, 194, 410)(174, 390, 185, 401)(175, 391, 198, 414)(176, 392, 202, 418)(177, 393, 196, 412)(179, 395, 190, 406)(180, 396, 207, 423)(184, 400, 209, 425)(191, 407, 210, 426)(197, 413, 208, 424)(205, 421, 211, 427)(206, 422, 212, 428)(213, 429, 216, 432)(214, 430, 215, 431)(433, 649, 435, 651, 440, 656, 436, 652)(434, 650, 437, 653, 443, 659, 438, 654)(439, 655, 445, 661, 456, 672, 446, 662)(441, 657, 448, 664, 461, 677, 449, 665)(442, 658, 450, 666, 464, 680, 451, 667)(444, 660, 453, 669, 469, 685, 454, 670)(447, 663, 458, 674, 477, 693, 459, 675)(452, 668, 466, 682, 490, 706, 467, 683)(455, 671, 471, 687, 497, 713, 472, 688)(457, 673, 474, 690, 502, 718, 475, 691)(460, 676, 479, 695, 510, 726, 480, 696)(462, 678, 482, 698, 515, 731, 483, 699)(463, 679, 484, 700, 516, 732, 485, 701)(465, 681, 487, 703, 521, 737, 488, 704)(468, 684, 492, 708, 529, 745, 493, 709)(470, 686, 495, 711, 534, 750, 496, 712)(473, 689, 499, 715, 539, 755, 500, 716)(476, 692, 504, 720, 546, 762, 505, 721)(478, 694, 507, 723, 551, 767, 508, 724)(481, 697, 512, 728, 558, 774, 513, 729)(486, 702, 518, 734, 567, 783, 519, 735)(489, 705, 523, 739, 574, 790, 524, 740)(491, 707, 526, 742, 579, 795, 527, 743)(494, 710, 531, 747, 586, 802, 532, 748)(498, 714, 536, 752, 593, 809, 537, 753)(501, 717, 541, 757, 599, 815, 542, 758)(503, 719, 544, 760, 602, 818, 545, 761)(506, 722, 548, 764, 605, 821, 549, 765)(509, 725, 552, 768, 608, 824, 553, 769)(511, 727, 555, 771, 609, 825, 556, 772)(514, 730, 560, 776, 611, 827, 561, 777)(517, 733, 564, 780, 614, 830, 565, 781)(520, 736, 569, 785, 620, 836, 570, 786)(522, 738, 572, 788, 623, 839, 573, 789)(525, 741, 576, 792, 626, 842, 577, 793)(528, 744, 580, 796, 629, 845, 581, 797)(530, 746, 583, 799, 630, 846, 584, 800)(533, 749, 588, 804, 632, 848, 589, 805)(535, 751, 591, 807, 559, 775, 592, 808)(538, 754, 595, 811, 562, 778, 596, 812)(540, 756, 597, 813, 554, 770, 598, 814)(543, 759, 600, 816, 557, 773, 601, 817)(547, 763, 603, 819, 637, 853, 604, 820)(550, 766, 606, 822, 638, 854, 607, 823)(563, 779, 612, 828, 587, 803, 613, 829)(566, 782, 616, 832, 590, 806, 617, 833)(568, 784, 618, 834, 582, 798, 619, 835)(571, 787, 621, 837, 585, 801, 622, 838)(575, 791, 624, 840, 643, 859, 625, 841)(578, 794, 627, 843, 644, 860, 628, 844)(594, 810, 634, 850, 646, 862, 635, 851)(610, 826, 633, 849, 645, 861, 636, 852)(615, 831, 640, 856, 648, 864, 641, 857)(631, 847, 639, 855, 647, 863, 642, 858)
	L = (1, 434)(2, 433)(3, 439)(4, 441)(5, 442)(6, 444)(7, 435)(8, 447)(9, 436)(10, 437)(11, 452)(12, 438)(13, 455)(14, 457)(15, 440)(16, 460)(17, 462)(18, 463)(19, 465)(20, 443)(21, 468)(22, 470)(23, 445)(24, 473)(25, 446)(26, 476)(27, 478)(28, 448)(29, 481)(30, 449)(31, 450)(32, 486)(33, 451)(34, 489)(35, 491)(36, 453)(37, 494)(38, 454)(39, 496)(40, 498)(41, 456)(42, 501)(43, 503)(44, 458)(45, 506)(46, 459)(47, 509)(48, 511)(49, 461)(50, 514)(51, 484)(52, 483)(53, 517)(54, 464)(55, 520)(56, 522)(57, 466)(58, 525)(59, 467)(60, 528)(61, 530)(62, 469)(63, 533)(64, 471)(65, 535)(66, 472)(67, 538)(68, 540)(69, 474)(70, 543)(71, 475)(72, 545)(73, 547)(74, 477)(75, 550)(76, 552)(77, 479)(78, 554)(79, 480)(80, 557)(81, 559)(82, 482)(83, 562)(84, 563)(85, 485)(86, 566)(87, 568)(88, 487)(89, 571)(90, 488)(91, 573)(92, 575)(93, 490)(94, 578)(95, 580)(96, 492)(97, 582)(98, 493)(99, 585)(100, 587)(101, 495)(102, 590)(103, 497)(104, 569)(105, 594)(106, 499)(107, 577)(108, 500)(109, 564)(110, 583)(111, 502)(112, 572)(113, 504)(114, 579)(115, 505)(116, 586)(117, 567)(118, 507)(119, 574)(120, 508)(121, 581)(122, 510)(123, 570)(124, 589)(125, 512)(126, 576)(127, 513)(128, 610)(129, 584)(130, 515)(131, 516)(132, 541)(133, 615)(134, 518)(135, 549)(136, 519)(137, 536)(138, 555)(139, 521)(140, 544)(141, 523)(142, 551)(143, 524)(144, 558)(145, 539)(146, 526)(147, 546)(148, 527)(149, 553)(150, 529)(151, 542)(152, 561)(153, 531)(154, 548)(155, 532)(156, 631)(157, 556)(158, 534)(159, 633)(160, 625)(161, 619)(162, 537)(163, 635)(164, 627)(165, 621)(166, 614)(167, 624)(168, 618)(169, 632)(170, 636)(171, 620)(172, 613)(173, 626)(174, 617)(175, 630)(176, 634)(177, 628)(178, 560)(179, 622)(180, 639)(181, 604)(182, 598)(183, 565)(184, 641)(185, 606)(186, 600)(187, 593)(188, 603)(189, 597)(190, 611)(191, 642)(192, 599)(193, 592)(194, 605)(195, 596)(196, 609)(197, 640)(198, 607)(199, 588)(200, 601)(201, 591)(202, 608)(203, 595)(204, 602)(205, 643)(206, 644)(207, 612)(208, 629)(209, 616)(210, 623)(211, 637)(212, 638)(213, 648)(214, 647)(215, 646)(216, 645)(217, 649)(218, 650)(219, 651)(220, 652)(221, 653)(222, 654)(223, 655)(224, 656)(225, 657)(226, 658)(227, 659)(228, 660)(229, 661)(230, 662)(231, 663)(232, 664)(233, 665)(234, 666)(235, 667)(236, 668)(237, 669)(238, 670)(239, 671)(240, 672)(241, 673)(242, 674)(243, 675)(244, 676)(245, 677)(246, 678)(247, 679)(248, 680)(249, 681)(250, 682)(251, 683)(252, 684)(253, 685)(254, 686)(255, 687)(256, 688)(257, 689)(258, 690)(259, 691)(260, 692)(261, 693)(262, 694)(263, 695)(264, 696)(265, 697)(266, 698)(267, 699)(268, 700)(269, 701)(270, 702)(271, 703)(272, 704)(273, 705)(274, 706)(275, 707)(276, 708)(277, 709)(278, 710)(279, 711)(280, 712)(281, 713)(282, 714)(283, 715)(284, 716)(285, 717)(286, 718)(287, 719)(288, 720)(289, 721)(290, 722)(291, 723)(292, 724)(293, 725)(294, 726)(295, 727)(296, 728)(297, 729)(298, 730)(299, 731)(300, 732)(301, 733)(302, 734)(303, 735)(304, 736)(305, 737)(306, 738)(307, 739)(308, 740)(309, 741)(310, 742)(311, 743)(312, 744)(313, 745)(314, 746)(315, 747)(316, 748)(317, 749)(318, 750)(319, 751)(320, 752)(321, 753)(322, 754)(323, 755)(324, 756)(325, 757)(326, 758)(327, 759)(328, 760)(329, 761)(330, 762)(331, 763)(332, 764)(333, 765)(334, 766)(335, 767)(336, 768)(337, 769)(338, 770)(339, 771)(340, 772)(341, 773)(342, 774)(343, 775)(344, 776)(345, 777)(346, 778)(347, 779)(348, 780)(349, 781)(350, 782)(351, 783)(352, 784)(353, 785)(354, 786)(355, 787)(356, 788)(357, 789)(358, 790)(359, 791)(360, 792)(361, 793)(362, 794)(363, 795)(364, 796)(365, 797)(366, 798)(367, 799)(368, 800)(369, 801)(370, 802)(371, 803)(372, 804)(373, 805)(374, 806)(375, 807)(376, 808)(377, 809)(378, 810)(379, 811)(380, 812)(381, 813)(382, 814)(383, 815)(384, 816)(385, 817)(386, 818)(387, 819)(388, 820)(389, 821)(390, 822)(391, 823)(392, 824)(393, 825)(394, 826)(395, 827)(396, 828)(397, 829)(398, 830)(399, 831)(400, 832)(401, 833)(402, 834)(403, 835)(404, 836)(405, 837)(406, 838)(407, 839)(408, 840)(409, 841)(410, 842)(411, 843)(412, 844)(413, 845)(414, 846)(415, 847)(416, 848)(417, 849)(418, 850)(419, 851)(420, 852)(421, 853)(422, 854)(423, 855)(424, 856)(425, 857)(426, 858)(427, 859)(428, 860)(429, 861)(430, 862)(431, 863)(432, 864)
	local type(s) :: { ( 2, 12, 2, 12 ), ( 2, 12, 2, 12, 2, 12, 2, 12 ) }
Outer automorphisms :: reflexible
Dual of E10.920
Graph:: bipartite
	v = 162 e = 432 f = 252
	degree seq :: [ 4^108, 8^54 ]

E10.918 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 6})
Quotient :: dipole
Aut^+ = (((C3 x C3) : C3) : C4) : C2 (small group id <216, 87>)
Aut   = $<432, 530>$ (small group id <432, 530>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, Y1^4, (R * Y1)^2, (R * Y3)^2, (Y1^-1 * Y2^-1)^2, (Y3^-1 * Y1^-1)^2, Y2^6, (Y2^2 * Y1^-1 * Y2 * Y1^-1)^2, Y2 * Y1^-1 * Y2^-1 * Y1 * Y2^2 * Y1 * Y2^-2 * Y1^-2 * Y2^-2 * Y1^-1 ]
Map::
	R = (1, 217, 2, 218, 6, 222, 4, 220)(3, 219, 9, 225, 21, 237, 11, 227)(5, 221, 13, 229, 18, 234, 7, 223)(8, 224, 19, 235, 33, 249, 15, 231)(10, 226, 23, 239, 47, 263, 25, 241)(12, 228, 16, 232, 34, 250, 28, 244)(14, 230, 31, 247, 58, 274, 29, 245)(17, 233, 36, 252, 69, 285, 38, 254)(20, 236, 42, 258, 77, 293, 40, 256)(22, 238, 45, 261, 82, 298, 43, 259)(24, 240, 49, 265, 92, 308, 50, 266)(26, 242, 44, 260, 83, 299, 53, 269)(27, 243, 54, 270, 98, 314, 55, 271)(30, 246, 59, 275, 75, 291, 39, 255)(32, 248, 62, 278, 109, 325, 64, 280)(35, 251, 68, 284, 117, 333, 66, 282)(37, 253, 71, 287, 125, 341, 72, 288)(41, 257, 78, 294, 115, 331, 65, 281)(46, 262, 87, 303, 144, 360, 85, 301)(48, 264, 90, 306, 148, 364, 88, 304)(51, 267, 89, 305, 135, 351, 79, 295)(52, 268, 96, 312, 134, 350, 80, 296)(56, 272, 67, 283, 118, 334, 102, 318)(57, 273, 103, 319, 163, 379, 105, 321)(60, 276, 100, 316, 158, 374, 107, 323)(61, 277, 101, 317, 162, 378, 106, 322)(63, 279, 111, 327, 171, 387, 112, 328)(70, 286, 123, 339, 184, 400, 121, 337)(73, 289, 122, 338, 181, 397, 119, 335)(74, 290, 129, 345, 180, 396, 120, 336)(76, 292, 131, 347, 193, 409, 133, 349)(81, 297, 137, 353, 197, 413, 139, 355)(84, 300, 113, 329, 168, 384, 141, 357)(86, 302, 114, 330, 175, 391, 140, 356)(91, 307, 136, 352, 173, 389, 150, 366)(93, 309, 128, 344, 178, 394, 152, 368)(94, 310, 153, 369, 170, 386, 145, 361)(95, 311, 132, 348, 195, 411, 146, 362)(97, 313, 142, 358, 176, 392, 130, 346)(99, 315, 159, 375, 204, 420, 157, 373)(104, 320, 165, 381, 172, 388, 161, 377)(108, 324, 127, 343, 189, 405, 160, 376)(110, 326, 169, 385, 208, 424, 167, 383)(116, 332, 177, 393, 214, 430, 179, 395)(124, 340, 182, 398, 143, 359, 186, 402)(126, 342, 174, 390, 138, 354, 188, 404)(147, 363, 183, 399, 207, 423, 205, 421)(149, 365, 199, 415, 216, 432, 192, 408)(151, 367, 200, 416, 213, 429, 185, 401)(154, 370, 203, 419, 211, 427, 190, 406)(155, 371, 202, 418, 212, 428, 191, 407)(156, 372, 206, 422, 210, 426, 196, 412)(164, 380, 194, 410, 215, 431, 198, 414)(166, 382, 201, 417, 209, 425, 187, 403)(433, 649, 435, 651, 442, 658, 456, 672, 446, 662, 437, 653)(434, 650, 439, 655, 449, 665, 469, 685, 452, 668, 440, 656)(436, 652, 444, 660, 459, 675, 478, 694, 454, 670, 441, 657)(438, 654, 447, 663, 464, 680, 495, 711, 467, 683, 448, 664)(443, 659, 458, 674, 484, 700, 523, 739, 480, 696, 455, 671)(445, 661, 461, 677, 489, 705, 536, 752, 492, 708, 462, 678)(450, 666, 471, 687, 506, 722, 556, 772, 502, 718, 468, 684)(451, 667, 472, 688, 508, 724, 564, 780, 511, 727, 473, 689)(453, 669, 475, 691, 513, 729, 570, 786, 516, 732, 476, 692)(457, 673, 483, 699, 527, 743, 586, 802, 525, 741, 481, 697)(460, 676, 488, 704, 533, 749, 592, 808, 531, 747, 486, 702)(463, 679, 482, 698, 526, 742, 587, 803, 540, 756, 493, 709)(465, 681, 497, 713, 546, 762, 602, 818, 542, 758, 494, 710)(466, 682, 498, 714, 548, 764, 610, 826, 551, 767, 499, 715)(470, 686, 505, 721, 560, 776, 622, 838, 558, 774, 503, 719)(474, 690, 504, 720, 559, 775, 623, 839, 568, 784, 512, 728)(477, 693, 517, 733, 575, 791, 634, 850, 577, 793, 518, 734)(479, 695, 520, 736, 579, 795, 636, 852, 581, 797, 521, 737)(485, 701, 529, 745, 491, 707, 539, 755, 588, 804, 528, 744)(487, 703, 532, 748, 593, 809, 635, 851, 578, 794, 519, 735)(490, 706, 538, 754, 598, 814, 625, 841, 596, 812, 535, 751)(496, 712, 545, 761, 606, 822, 643, 859, 604, 820, 543, 759)(500, 716, 544, 760, 605, 821, 644, 860, 614, 830, 552, 768)(501, 717, 553, 769, 615, 831, 580, 796, 617, 833, 554, 770)(507, 723, 562, 778, 510, 726, 567, 783, 624, 840, 561, 777)(509, 725, 566, 782, 628, 844, 646, 862, 626, 842, 563, 779)(514, 730, 572, 788, 632, 848, 595, 811, 630, 846, 569, 785)(515, 731, 573, 789, 633, 849, 594, 810, 534, 750, 574, 790)(522, 738, 582, 798, 603, 819, 597, 813, 537, 753, 583, 799)(524, 740, 584, 800, 611, 827, 642, 858, 601, 817, 585, 801)(530, 746, 589, 805, 637, 853, 640, 856, 638, 854, 590, 806)(541, 757, 599, 815, 639, 855, 616, 832, 641, 857, 600, 816)(547, 763, 608, 824, 550, 766, 613, 829, 645, 861, 607, 823)(549, 765, 612, 828, 648, 864, 629, 845, 647, 863, 609, 825)(555, 771, 618, 834, 576, 792, 627, 843, 565, 781, 619, 835)(557, 773, 620, 836, 571, 787, 631, 847, 591, 807, 621, 837)
	L = (1, 435)(2, 439)(3, 442)(4, 444)(5, 433)(6, 447)(7, 449)(8, 434)(9, 436)(10, 456)(11, 458)(12, 459)(13, 461)(14, 437)(15, 464)(16, 438)(17, 469)(18, 471)(19, 472)(20, 440)(21, 475)(22, 441)(23, 443)(24, 446)(25, 483)(26, 484)(27, 478)(28, 488)(29, 489)(30, 445)(31, 482)(32, 495)(33, 497)(34, 498)(35, 448)(36, 450)(37, 452)(38, 505)(39, 506)(40, 508)(41, 451)(42, 504)(43, 513)(44, 453)(45, 517)(46, 454)(47, 520)(48, 455)(49, 457)(50, 526)(51, 527)(52, 523)(53, 529)(54, 460)(55, 532)(56, 533)(57, 536)(58, 538)(59, 539)(60, 462)(61, 463)(62, 465)(63, 467)(64, 545)(65, 546)(66, 548)(67, 466)(68, 544)(69, 553)(70, 468)(71, 470)(72, 559)(73, 560)(74, 556)(75, 562)(76, 564)(77, 566)(78, 567)(79, 473)(80, 474)(81, 570)(82, 572)(83, 573)(84, 476)(85, 575)(86, 477)(87, 487)(88, 579)(89, 479)(90, 582)(91, 480)(92, 584)(93, 481)(94, 587)(95, 586)(96, 485)(97, 491)(98, 589)(99, 486)(100, 593)(101, 592)(102, 574)(103, 490)(104, 492)(105, 583)(106, 598)(107, 588)(108, 493)(109, 599)(110, 494)(111, 496)(112, 605)(113, 606)(114, 602)(115, 608)(116, 610)(117, 612)(118, 613)(119, 499)(120, 500)(121, 615)(122, 501)(123, 618)(124, 502)(125, 620)(126, 503)(127, 623)(128, 622)(129, 507)(130, 510)(131, 509)(132, 511)(133, 619)(134, 628)(135, 624)(136, 512)(137, 514)(138, 516)(139, 631)(140, 632)(141, 633)(142, 515)(143, 634)(144, 627)(145, 518)(146, 519)(147, 636)(148, 617)(149, 521)(150, 603)(151, 522)(152, 611)(153, 524)(154, 525)(155, 540)(156, 528)(157, 637)(158, 530)(159, 621)(160, 531)(161, 635)(162, 534)(163, 630)(164, 535)(165, 537)(166, 625)(167, 639)(168, 541)(169, 585)(170, 542)(171, 597)(172, 543)(173, 644)(174, 643)(175, 547)(176, 550)(177, 549)(178, 551)(179, 642)(180, 648)(181, 645)(182, 552)(183, 580)(184, 641)(185, 554)(186, 576)(187, 555)(188, 571)(189, 557)(190, 558)(191, 568)(192, 561)(193, 596)(194, 563)(195, 565)(196, 646)(197, 647)(198, 569)(199, 591)(200, 595)(201, 594)(202, 577)(203, 578)(204, 581)(205, 640)(206, 590)(207, 616)(208, 638)(209, 600)(210, 601)(211, 604)(212, 614)(213, 607)(214, 626)(215, 609)(216, 629)(217, 649)(218, 650)(219, 651)(220, 652)(221, 653)(222, 654)(223, 655)(224, 656)(225, 657)(226, 658)(227, 659)(228, 660)(229, 661)(230, 662)(231, 663)(232, 664)(233, 665)(234, 666)(235, 667)(236, 668)(237, 669)(238, 670)(239, 671)(240, 672)(241, 673)(242, 674)(243, 675)(244, 676)(245, 677)(246, 678)(247, 679)(248, 680)(249, 681)(250, 682)(251, 683)(252, 684)(253, 685)(254, 686)(255, 687)(256, 688)(257, 689)(258, 690)(259, 691)(260, 692)(261, 693)(262, 694)(263, 695)(264, 696)(265, 697)(266, 698)(267, 699)(268, 700)(269, 701)(270, 702)(271, 703)(272, 704)(273, 705)(274, 706)(275, 707)(276, 708)(277, 709)(278, 710)(279, 711)(280, 712)(281, 713)(282, 714)(283, 715)(284, 716)(285, 717)(286, 718)(287, 719)(288, 720)(289, 721)(290, 722)(291, 723)(292, 724)(293, 725)(294, 726)(295, 727)(296, 728)(297, 729)(298, 730)(299, 731)(300, 732)(301, 733)(302, 734)(303, 735)(304, 736)(305, 737)(306, 738)(307, 739)(308, 740)(309, 741)(310, 742)(311, 743)(312, 744)(313, 745)(314, 746)(315, 747)(316, 748)(317, 749)(318, 750)(319, 751)(320, 752)(321, 753)(322, 754)(323, 755)(324, 756)(325, 757)(326, 758)(327, 759)(328, 760)(329, 761)(330, 762)(331, 763)(332, 764)(333, 765)(334, 766)(335, 767)(336, 768)(337, 769)(338, 770)(339, 771)(340, 772)(341, 773)(342, 774)(343, 775)(344, 776)(345, 777)(346, 778)(347, 779)(348, 780)(349, 781)(350, 782)(351, 783)(352, 784)(353, 785)(354, 786)(355, 787)(356, 788)(357, 789)(358, 790)(359, 791)(360, 792)(361, 793)(362, 794)(363, 795)(364, 796)(365, 797)(366, 798)(367, 799)(368, 800)(369, 801)(370, 802)(371, 803)(372, 804)(373, 805)(374, 806)(375, 807)(376, 808)(377, 809)(378, 810)(379, 811)(380, 812)(381, 813)(382, 814)(383, 815)(384, 816)(385, 817)(386, 818)(387, 819)(388, 820)(389, 821)(390, 822)(391, 823)(392, 824)(393, 825)(394, 826)(395, 827)(396, 828)(397, 829)(398, 830)(399, 831)(400, 832)(401, 833)(402, 834)(403, 835)(404, 836)(405, 837)(406, 838)(407, 839)(408, 840)(409, 841)(410, 842)(411, 843)(412, 844)(413, 845)(414, 846)(415, 847)(416, 848)(417, 849)(418, 850)(419, 851)(420, 852)(421, 853)(422, 854)(423, 855)(424, 856)(425, 857)(426, 858)(427, 859)(428, 860)(429, 861)(430, 862)(431, 863)(432, 864)
	local type(s) :: { ( 2, 4, 2, 4, 2, 4, 2, 4 ), ( 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4 ) }
Outer automorphisms :: reflexible
Dual of E10.919
Graph:: bipartite
	v = 90 e = 432 f = 324
	degree seq :: [ 8^54, 12^36 ]

E10.919 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 6})
Quotient :: dipole
Aut^+ = (((C3 x C3) : C3) : C4) : C2 (small group id <216, 87>)
Aut   = $<432, 530>$ (small group id <432, 530>)
|r| :: 2
Presentation :: [ Y1, Y2^2, R^2, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, (Y3 * Y2)^4, (Y3^-1 * Y1^-1)^6, Y3^-1 * Y2 * Y3 * Y2 * Y3^-1 * Y2 * Y3^2 * Y2 * Y3^-1 * Y2 * Y3 * Y2 * Y3^-1, Y3^-1 * Y2 * Y3^2 * Y2 * Y3^3 * Y2 * Y3^2 * Y2 * Y3^-2 ]
Map:: polytopal
	R = (1, 217)(2, 218)(3, 219)(4, 220)(5, 221)(6, 222)(7, 223)(8, 224)(9, 225)(10, 226)(11, 227)(12, 228)(13, 229)(14, 230)(15, 231)(16, 232)(17, 233)(18, 234)(19, 235)(20, 236)(21, 237)(22, 238)(23, 239)(24, 240)(25, 241)(26, 242)(27, 243)(28, 244)(29, 245)(30, 246)(31, 247)(32, 248)(33, 249)(34, 250)(35, 251)(36, 252)(37, 253)(38, 254)(39, 255)(40, 256)(41, 257)(42, 258)(43, 259)(44, 260)(45, 261)(46, 262)(47, 263)(48, 264)(49, 265)(50, 266)(51, 267)(52, 268)(53, 269)(54, 270)(55, 271)(56, 272)(57, 273)(58, 274)(59, 275)(60, 276)(61, 277)(62, 278)(63, 279)(64, 280)(65, 281)(66, 282)(67, 283)(68, 284)(69, 285)(70, 286)(71, 287)(72, 288)(73, 289)(74, 290)(75, 291)(76, 292)(77, 293)(78, 294)(79, 295)(80, 296)(81, 297)(82, 298)(83, 299)(84, 300)(85, 301)(86, 302)(87, 303)(88, 304)(89, 305)(90, 306)(91, 307)(92, 308)(93, 309)(94, 310)(95, 311)(96, 312)(97, 313)(98, 314)(99, 315)(100, 316)(101, 317)(102, 318)(103, 319)(104, 320)(105, 321)(106, 322)(107, 323)(108, 324)(109, 325)(110, 326)(111, 327)(112, 328)(113, 329)(114, 330)(115, 331)(116, 332)(117, 333)(118, 334)(119, 335)(120, 336)(121, 337)(122, 338)(123, 339)(124, 340)(125, 341)(126, 342)(127, 343)(128, 344)(129, 345)(130, 346)(131, 347)(132, 348)(133, 349)(134, 350)(135, 351)(136, 352)(137, 353)(138, 354)(139, 355)(140, 356)(141, 357)(142, 358)(143, 359)(144, 360)(145, 361)(146, 362)(147, 363)(148, 364)(149, 365)(150, 366)(151, 367)(152, 368)(153, 369)(154, 370)(155, 371)(156, 372)(157, 373)(158, 374)(159, 375)(160, 376)(161, 377)(162, 378)(163, 379)(164, 380)(165, 381)(166, 382)(167, 383)(168, 384)(169, 385)(170, 386)(171, 387)(172, 388)(173, 389)(174, 390)(175, 391)(176, 392)(177, 393)(178, 394)(179, 395)(180, 396)(181, 397)(182, 398)(183, 399)(184, 400)(185, 401)(186, 402)(187, 403)(188, 404)(189, 405)(190, 406)(191, 407)(192, 408)(193, 409)(194, 410)(195, 411)(196, 412)(197, 413)(198, 414)(199, 415)(200, 416)(201, 417)(202, 418)(203, 419)(204, 420)(205, 421)(206, 422)(207, 423)(208, 424)(209, 425)(210, 426)(211, 427)(212, 428)(213, 429)(214, 430)(215, 431)(216, 432)(433, 649, 434, 650)(435, 651, 439, 655)(436, 652, 441, 657)(437, 653, 443, 659)(438, 654, 445, 661)(440, 656, 449, 665)(442, 658, 453, 669)(444, 660, 456, 672)(446, 662, 460, 676)(447, 663, 459, 675)(448, 664, 462, 678)(450, 666, 466, 682)(451, 667, 467, 683)(452, 668, 454, 670)(455, 671, 473, 689)(457, 673, 477, 693)(458, 674, 478, 694)(461, 677, 483, 699)(463, 679, 487, 703)(464, 680, 486, 702)(465, 681, 489, 705)(468, 684, 495, 711)(469, 685, 497, 713)(470, 686, 498, 714)(471, 687, 493, 709)(472, 688, 501, 717)(474, 690, 505, 721)(475, 691, 504, 720)(476, 692, 507, 723)(479, 695, 513, 729)(480, 696, 515, 731)(481, 697, 516, 732)(482, 698, 511, 727)(484, 700, 521, 737)(485, 701, 522, 738)(488, 704, 527, 743)(490, 706, 531, 747)(491, 707, 530, 746)(492, 708, 533, 749)(494, 710, 536, 752)(496, 712, 540, 756)(499, 715, 544, 760)(500, 716, 546, 762)(502, 718, 549, 765)(503, 719, 550, 766)(506, 722, 555, 771)(508, 724, 559, 775)(509, 725, 558, 774)(510, 726, 561, 777)(512, 728, 564, 780)(514, 730, 568, 784)(517, 733, 572, 788)(518, 734, 574, 790)(519, 735, 570, 786)(520, 736, 576, 792)(523, 739, 557, 773)(524, 740, 583, 799)(525, 741, 553, 769)(526, 742, 580, 796)(528, 744, 562, 778)(529, 745, 551, 767)(532, 748, 573, 789)(534, 750, 556, 772)(535, 751, 594, 810)(537, 753, 571, 787)(538, 754, 596, 812)(539, 755, 567, 783)(541, 757, 598, 814)(542, 758, 547, 763)(543, 759, 565, 781)(545, 761, 560, 776)(548, 764, 601, 817)(552, 768, 608, 824)(554, 770, 605, 821)(563, 779, 619, 835)(566, 782, 621, 837)(569, 785, 623, 839)(575, 791, 625, 841)(577, 793, 614, 830)(578, 794, 627, 843)(579, 795, 609, 825)(581, 797, 630, 846)(582, 798, 616, 832)(584, 800, 604, 820)(585, 801, 620, 836)(586, 802, 632, 848)(587, 803, 618, 834)(588, 804, 626, 842)(589, 805, 602, 818)(590, 806, 622, 838)(591, 807, 607, 823)(592, 808, 628, 844)(593, 809, 612, 828)(595, 811, 610, 826)(597, 813, 615, 831)(599, 815, 635, 851)(600, 816, 636, 852)(603, 819, 638, 854)(606, 822, 641, 857)(611, 827, 643, 859)(613, 829, 637, 853)(617, 833, 639, 855)(624, 840, 646, 862)(629, 845, 642, 858)(631, 847, 640, 856)(633, 849, 644, 860)(634, 850, 645, 861)(647, 863, 648, 864)
	L = (1, 435)(2, 437)(3, 440)(4, 433)(5, 444)(6, 434)(7, 447)(8, 450)(9, 451)(10, 436)(11, 454)(12, 457)(13, 458)(14, 438)(15, 461)(16, 439)(17, 464)(18, 442)(19, 468)(20, 441)(21, 470)(22, 472)(23, 443)(24, 475)(25, 446)(26, 479)(27, 445)(28, 481)(29, 484)(30, 485)(31, 448)(32, 488)(33, 449)(34, 491)(35, 493)(36, 496)(37, 452)(38, 499)(39, 453)(40, 502)(41, 503)(42, 455)(43, 506)(44, 456)(45, 509)(46, 511)(47, 514)(48, 459)(49, 517)(50, 460)(51, 519)(52, 463)(53, 523)(54, 462)(55, 525)(56, 528)(57, 529)(58, 465)(59, 532)(60, 466)(61, 535)(62, 467)(63, 538)(64, 469)(65, 541)(66, 533)(67, 545)(68, 471)(69, 547)(70, 474)(71, 551)(72, 473)(73, 553)(74, 556)(75, 557)(76, 476)(77, 560)(78, 477)(79, 563)(80, 478)(81, 566)(82, 480)(83, 569)(84, 561)(85, 573)(86, 482)(87, 575)(88, 483)(89, 578)(90, 580)(91, 582)(92, 486)(93, 584)(94, 487)(95, 586)(96, 490)(97, 588)(98, 489)(99, 590)(100, 592)(101, 593)(102, 492)(103, 595)(104, 581)(105, 494)(106, 591)(107, 495)(108, 597)(109, 587)(110, 497)(111, 498)(112, 585)(113, 500)(114, 577)(115, 600)(116, 501)(117, 603)(118, 605)(119, 607)(120, 504)(121, 609)(122, 505)(123, 611)(124, 508)(125, 613)(126, 507)(127, 615)(128, 617)(129, 618)(130, 510)(131, 620)(132, 606)(133, 512)(134, 616)(135, 513)(136, 622)(137, 612)(138, 515)(139, 516)(140, 610)(141, 518)(142, 602)(143, 546)(144, 626)(145, 520)(146, 540)(147, 521)(148, 629)(149, 522)(150, 524)(151, 631)(152, 544)(153, 526)(154, 542)(155, 527)(156, 633)(157, 530)(158, 539)(159, 531)(160, 534)(161, 634)(162, 625)(163, 537)(164, 536)(165, 628)(166, 627)(167, 543)(168, 574)(169, 637)(170, 548)(171, 568)(172, 549)(173, 640)(174, 550)(175, 552)(176, 642)(177, 572)(178, 554)(179, 570)(180, 555)(181, 644)(182, 558)(183, 567)(184, 559)(185, 562)(186, 645)(187, 636)(188, 565)(189, 564)(190, 639)(191, 638)(192, 571)(193, 647)(194, 641)(195, 576)(196, 579)(197, 596)(198, 646)(199, 594)(200, 583)(201, 589)(202, 599)(203, 598)(204, 648)(205, 630)(206, 601)(207, 604)(208, 621)(209, 635)(210, 619)(211, 608)(212, 614)(213, 624)(214, 623)(215, 632)(216, 643)(217, 649)(218, 650)(219, 651)(220, 652)(221, 653)(222, 654)(223, 655)(224, 656)(225, 657)(226, 658)(227, 659)(228, 660)(229, 661)(230, 662)(231, 663)(232, 664)(233, 665)(234, 666)(235, 667)(236, 668)(237, 669)(238, 670)(239, 671)(240, 672)(241, 673)(242, 674)(243, 675)(244, 676)(245, 677)(246, 678)(247, 679)(248, 680)(249, 681)(250, 682)(251, 683)(252, 684)(253, 685)(254, 686)(255, 687)(256, 688)(257, 689)(258, 690)(259, 691)(260, 692)(261, 693)(262, 694)(263, 695)(264, 696)(265, 697)(266, 698)(267, 699)(268, 700)(269, 701)(270, 702)(271, 703)(272, 704)(273, 705)(274, 706)(275, 707)(276, 708)(277, 709)(278, 710)(279, 711)(280, 712)(281, 713)(282, 714)(283, 715)(284, 716)(285, 717)(286, 718)(287, 719)(288, 720)(289, 721)(290, 722)(291, 723)(292, 724)(293, 725)(294, 726)(295, 727)(296, 728)(297, 729)(298, 730)(299, 731)(300, 732)(301, 733)(302, 734)(303, 735)(304, 736)(305, 737)(306, 738)(307, 739)(308, 740)(309, 741)(310, 742)(311, 743)(312, 744)(313, 745)(314, 746)(315, 747)(316, 748)(317, 749)(318, 750)(319, 751)(320, 752)(321, 753)(322, 754)(323, 755)(324, 756)(325, 757)(326, 758)(327, 759)(328, 760)(329, 761)(330, 762)(331, 763)(332, 764)(333, 765)(334, 766)(335, 767)(336, 768)(337, 769)(338, 770)(339, 771)(340, 772)(341, 773)(342, 774)(343, 775)(344, 776)(345, 777)(346, 778)(347, 779)(348, 780)(349, 781)(350, 782)(351, 783)(352, 784)(353, 785)(354, 786)(355, 787)(356, 788)(357, 789)(358, 790)(359, 791)(360, 792)(361, 793)(362, 794)(363, 795)(364, 796)(365, 797)(366, 798)(367, 799)(368, 800)(369, 801)(370, 802)(371, 803)(372, 804)(373, 805)(374, 806)(375, 807)(376, 808)(377, 809)(378, 810)(379, 811)(380, 812)(381, 813)(382, 814)(383, 815)(384, 816)(385, 817)(386, 818)(387, 819)(388, 820)(389, 821)(390, 822)(391, 823)(392, 824)(393, 825)(394, 826)(395, 827)(396, 828)(397, 829)(398, 830)(399, 831)(400, 832)(401, 833)(402, 834)(403, 835)(404, 836)(405, 837)(406, 838)(407, 839)(408, 840)(409, 841)(410, 842)(411, 843)(412, 844)(413, 845)(414, 846)(415, 847)(416, 848)(417, 849)(418, 850)(419, 851)(420, 852)(421, 853)(422, 854)(423, 855)(424, 856)(425, 857)(426, 858)(427, 859)(428, 860)(429, 861)(430, 862)(431, 863)(432, 864)
	local type(s) :: { ( 8, 12 ), ( 8, 12, 8, 12 ) }
Outer automorphisms :: reflexible
Dual of E10.918
Graph:: simple bipartite
	v = 324 e = 432 f = 90
	degree seq :: [ 2^216, 4^108 ]

E10.920 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 6})
Quotient :: dipole
Aut^+ = (((C3 x C3) : C3) : C4) : C2 (small group id <216, 87>)
Aut   = $<432, 530>$ (small group id <432, 530>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y1)^2, (R * Y3)^2, (Y3 * Y2^-1)^2, (R * Y2 * Y3^-1)^2, Y3^-1 * Y1^-1 * Y3^-2 * Y1 * Y3^-1, Y1^6, Y3 * Y1 * Y3 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1, Y3 * Y1^-3 * Y3 * Y1^-2 * Y3^-1 * Y1^-3 * Y3^-1 * Y1^-2, Y3 * Y1^2 * Y3 * Y1^-3 * Y3^-1 * Y1^2 * Y3^-1 * Y1^-3, Y3 * Y1^-2 * Y3 * Y1^-3 * Y3^-1 * Y1^-2 * Y3^-1 * Y1^-3, Y3 * Y1^2 * Y3 * Y1^-1 * Y3 * Y1 * Y3^-1 * Y1^-2 * Y3^-1 * Y1 * Y3^-1 * Y1^-1, Y3 * Y1 * Y3 * Y1^-2 * Y3 * Y1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^2 * Y3^-1 * Y1^-1, Y3 * Y1 * Y3 * Y1^-1 * Y3 * Y1^2 * Y3^-1 * Y1^-1 * Y3^-1 * Y1 * Y3^-1 * Y1^-2 ]
Map:: polytopal
	R = (1, 217, 2, 218, 5, 221, 11, 227, 10, 226, 4, 220)(3, 219, 7, 223, 15, 231, 29, 245, 18, 234, 8, 224)(6, 222, 13, 229, 25, 241, 46, 262, 28, 244, 14, 230)(9, 225, 19, 235, 35, 251, 61, 277, 37, 253, 20, 236)(12, 228, 23, 239, 42, 258, 73, 289, 45, 261, 24, 240)(16, 232, 31, 247, 54, 270, 93, 309, 56, 272, 32, 248)(17, 233, 33, 249, 57, 273, 82, 298, 48, 264, 26, 242)(21, 237, 38, 254, 66, 282, 111, 327, 68, 284, 39, 255)(22, 238, 40, 256, 69, 285, 115, 331, 72, 288, 41, 257)(27, 243, 49, 265, 83, 299, 124, 340, 75, 291, 43, 259)(30, 246, 52, 268, 89, 305, 119, 335, 92, 308, 53, 269)(34, 250, 59, 275, 100, 316, 116, 332, 102, 318, 60, 276)(36, 252, 63, 279, 106, 322, 164, 380, 108, 324, 64, 280)(44, 260, 76, 292, 125, 341, 170, 386, 117, 333, 70, 286)(47, 263, 79, 295, 131, 347, 114, 330, 134, 350, 80, 296)(50, 266, 85, 301, 140, 356, 112, 328, 142, 358, 86, 302)(51, 267, 87, 303, 143, 359, 173, 389, 120, 336, 88, 304)(55, 271, 95, 311, 126, 342, 179, 395, 147, 363, 90, 306)(58, 274, 98, 314, 156, 372, 192, 408, 158, 374, 99, 315)(62, 278, 104, 320, 128, 344, 77, 293, 127, 343, 105, 321)(65, 281, 109, 325, 122, 338, 74, 290, 121, 337, 110, 326)(67, 283, 71, 287, 118, 334, 171, 387, 167, 383, 113, 329)(78, 294, 129, 345, 103, 319, 162, 378, 168, 384, 130, 346)(81, 297, 135, 351, 172, 388, 146, 362, 184, 400, 132, 348)(84, 300, 138, 354, 189, 405, 163, 379, 107, 323, 139, 355)(91, 307, 137, 353, 188, 404, 204, 420, 185, 401, 144, 360)(94, 310, 150, 366, 195, 411, 161, 377, 169, 385, 151, 367)(96, 312, 141, 357, 182, 398, 159, 375, 199, 415, 153, 369)(97, 313, 154, 370, 177, 393, 148, 364, 194, 410, 155, 371)(101, 317, 145, 361, 175, 391, 205, 421, 202, 418, 160, 376)(123, 339, 176, 392, 165, 381, 183, 399, 207, 423, 174, 390)(133, 349, 178, 394, 209, 425, 203, 419, 166, 382, 181, 397)(136, 352, 180, 396, 206, 422, 191, 407, 149, 365, 187, 403)(152, 368, 197, 413, 208, 424, 200, 416, 157, 373, 198, 414)(186, 402, 211, 427, 196, 412, 213, 429, 190, 406, 212, 428)(193, 409, 214, 430, 201, 417, 215, 431, 216, 432, 210, 426)(433, 649)(434, 650)(435, 651)(436, 652)(437, 653)(438, 654)(439, 655)(440, 656)(441, 657)(442, 658)(443, 659)(444, 660)(445, 661)(446, 662)(447, 663)(448, 664)(449, 665)(450, 666)(451, 667)(452, 668)(453, 669)(454, 670)(455, 671)(456, 672)(457, 673)(458, 674)(459, 675)(460, 676)(461, 677)(462, 678)(463, 679)(464, 680)(465, 681)(466, 682)(467, 683)(468, 684)(469, 685)(470, 686)(471, 687)(472, 688)(473, 689)(474, 690)(475, 691)(476, 692)(477, 693)(478, 694)(479, 695)(480, 696)(481, 697)(482, 698)(483, 699)(484, 700)(485, 701)(486, 702)(487, 703)(488, 704)(489, 705)(490, 706)(491, 707)(492, 708)(493, 709)(494, 710)(495, 711)(496, 712)(497, 713)(498, 714)(499, 715)(500, 716)(501, 717)(502, 718)(503, 719)(504, 720)(505, 721)(506, 722)(507, 723)(508, 724)(509, 725)(510, 726)(511, 727)(512, 728)(513, 729)(514, 730)(515, 731)(516, 732)(517, 733)(518, 734)(519, 735)(520, 736)(521, 737)(522, 738)(523, 739)(524, 740)(525, 741)(526, 742)(527, 743)(528, 744)(529, 745)(530, 746)(531, 747)(532, 748)(533, 749)(534, 750)(535, 751)(536, 752)(537, 753)(538, 754)(539, 755)(540, 756)(541, 757)(542, 758)(543, 759)(544, 760)(545, 761)(546, 762)(547, 763)(548, 764)(549, 765)(550, 766)(551, 767)(552, 768)(553, 769)(554, 770)(555, 771)(556, 772)(557, 773)(558, 774)(559, 775)(560, 776)(561, 777)(562, 778)(563, 779)(564, 780)(565, 781)(566, 782)(567, 783)(568, 784)(569, 785)(570, 786)(571, 787)(572, 788)(573, 789)(574, 790)(575, 791)(576, 792)(577, 793)(578, 794)(579, 795)(580, 796)(581, 797)(582, 798)(583, 799)(584, 800)(585, 801)(586, 802)(587, 803)(588, 804)(589, 805)(590, 806)(591, 807)(592, 808)(593, 809)(594, 810)(595, 811)(596, 812)(597, 813)(598, 814)(599, 815)(600, 816)(601, 817)(602, 818)(603, 819)(604, 820)(605, 821)(606, 822)(607, 823)(608, 824)(609, 825)(610, 826)(611, 827)(612, 828)(613, 829)(614, 830)(615, 831)(616, 832)(617, 833)(618, 834)(619, 835)(620, 836)(621, 837)(622, 838)(623, 839)(624, 840)(625, 841)(626, 842)(627, 843)(628, 844)(629, 845)(630, 846)(631, 847)(632, 848)(633, 849)(634, 850)(635, 851)(636, 852)(637, 853)(638, 854)(639, 855)(640, 856)(641, 857)(642, 858)(643, 859)(644, 860)(645, 861)(646, 862)(647, 863)(648, 864)
	L = (1, 435)(2, 438)(3, 433)(4, 441)(5, 444)(6, 434)(7, 448)(8, 449)(9, 436)(10, 453)(11, 454)(12, 437)(13, 458)(14, 459)(15, 462)(16, 439)(17, 440)(18, 466)(19, 468)(20, 463)(21, 442)(22, 443)(23, 475)(24, 476)(25, 479)(26, 445)(27, 446)(28, 482)(29, 483)(30, 447)(31, 452)(32, 487)(33, 490)(34, 450)(35, 494)(36, 451)(37, 497)(38, 499)(39, 495)(40, 502)(41, 503)(42, 506)(43, 455)(44, 456)(45, 509)(46, 510)(47, 457)(48, 513)(49, 516)(50, 460)(51, 461)(52, 522)(53, 523)(54, 526)(55, 464)(56, 528)(57, 529)(58, 465)(59, 533)(60, 530)(61, 535)(62, 467)(63, 471)(64, 539)(65, 469)(66, 544)(67, 470)(68, 546)(69, 548)(70, 472)(71, 473)(72, 551)(73, 552)(74, 474)(75, 555)(76, 558)(77, 477)(78, 478)(79, 564)(80, 565)(81, 480)(82, 568)(83, 569)(84, 481)(85, 573)(86, 570)(87, 576)(88, 577)(89, 578)(90, 484)(91, 485)(92, 580)(93, 581)(94, 486)(95, 584)(96, 488)(97, 489)(98, 492)(99, 589)(100, 591)(101, 491)(102, 593)(103, 493)(104, 595)(105, 587)(106, 597)(107, 496)(108, 592)(109, 598)(110, 582)(111, 575)(112, 498)(113, 590)(114, 500)(115, 600)(116, 501)(117, 601)(118, 604)(119, 504)(120, 505)(121, 606)(122, 607)(123, 507)(124, 609)(125, 610)(126, 508)(127, 612)(128, 611)(129, 613)(130, 614)(131, 615)(132, 511)(133, 512)(134, 617)(135, 618)(136, 514)(137, 515)(138, 518)(139, 622)(140, 623)(141, 517)(142, 624)(143, 543)(144, 519)(145, 520)(146, 521)(147, 625)(148, 524)(149, 525)(150, 542)(151, 628)(152, 527)(153, 629)(154, 632)(155, 537)(156, 633)(157, 531)(158, 545)(159, 532)(160, 540)(161, 534)(162, 626)(163, 536)(164, 631)(165, 538)(166, 541)(167, 635)(168, 547)(169, 549)(170, 636)(171, 637)(172, 550)(173, 638)(174, 553)(175, 554)(176, 640)(177, 556)(178, 557)(179, 560)(180, 559)(181, 561)(182, 562)(183, 563)(184, 642)(185, 566)(186, 567)(187, 643)(188, 645)(189, 646)(190, 571)(191, 572)(192, 574)(193, 579)(194, 594)(195, 647)(196, 583)(197, 585)(198, 641)(199, 596)(200, 586)(201, 588)(202, 644)(203, 599)(204, 602)(205, 603)(206, 605)(207, 648)(208, 608)(209, 630)(210, 616)(211, 619)(212, 634)(213, 620)(214, 621)(215, 627)(216, 639)(217, 649)(218, 650)(219, 651)(220, 652)(221, 653)(222, 654)(223, 655)(224, 656)(225, 657)(226, 658)(227, 659)(228, 660)(229, 661)(230, 662)(231, 663)(232, 664)(233, 665)(234, 666)(235, 667)(236, 668)(237, 669)(238, 670)(239, 671)(240, 672)(241, 673)(242, 674)(243, 675)(244, 676)(245, 677)(246, 678)(247, 679)(248, 680)(249, 681)(250, 682)(251, 683)(252, 684)(253, 685)(254, 686)(255, 687)(256, 688)(257, 689)(258, 690)(259, 691)(260, 692)(261, 693)(262, 694)(263, 695)(264, 696)(265, 697)(266, 698)(267, 699)(268, 700)(269, 701)(270, 702)(271, 703)(272, 704)(273, 705)(274, 706)(275, 707)(276, 708)(277, 709)(278, 710)(279, 711)(280, 712)(281, 713)(282, 714)(283, 715)(284, 716)(285, 717)(286, 718)(287, 719)(288, 720)(289, 721)(290, 722)(291, 723)(292, 724)(293, 725)(294, 726)(295, 727)(296, 728)(297, 729)(298, 730)(299, 731)(300, 732)(301, 733)(302, 734)(303, 735)(304, 736)(305, 737)(306, 738)(307, 739)(308, 740)(309, 741)(310, 742)(311, 743)(312, 744)(313, 745)(314, 746)(315, 747)(316, 748)(317, 749)(318, 750)(319, 751)(320, 752)(321, 753)(322, 754)(323, 755)(324, 756)(325, 757)(326, 758)(327, 759)(328, 760)(329, 761)(330, 762)(331, 763)(332, 764)(333, 765)(334, 766)(335, 767)(336, 768)(337, 769)(338, 770)(339, 771)(340, 772)(341, 773)(342, 774)(343, 775)(344, 776)(345, 777)(346, 778)(347, 779)(348, 780)(349, 781)(350, 782)(351, 783)(352, 784)(353, 785)(354, 786)(355, 787)(356, 788)(357, 789)(358, 790)(359, 791)(360, 792)(361, 793)(362, 794)(363, 795)(364, 796)(365, 797)(366, 798)(367, 799)(368, 800)(369, 801)(370, 802)(371, 803)(372, 804)(373, 805)(374, 806)(375, 807)(376, 808)(377, 809)(378, 810)(379, 811)(380, 812)(381, 813)(382, 814)(383, 815)(384, 816)(385, 817)(386, 818)(387, 819)(388, 820)(389, 821)(390, 822)(391, 823)(392, 824)(393, 825)(394, 826)(395, 827)(396, 828)(397, 829)(398, 830)(399, 831)(400, 832)(401, 833)(402, 834)(403, 835)(404, 836)(405, 837)(406, 838)(407, 839)(408, 840)(409, 841)(410, 842)(411, 843)(412, 844)(413, 845)(414, 846)(415, 847)(416, 848)(417, 849)(418, 850)(419, 851)(420, 852)(421, 853)(422, 854)(423, 855)(424, 856)(425, 857)(426, 858)(427, 859)(428, 860)(429, 861)(430, 862)(431, 863)(432, 864)
	local type(s) :: { ( 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E10.917
Graph:: simple bipartite
	v = 252 e = 432 f = 162
	degree seq :: [ 2^216, 12^36 ]

E10.921 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 6})
Quotient :: dipole
Aut^+ = (((C3 x C3) : C3) : C4) : C2 (small group id <216, 87>)
Aut   = $<432, 530>$ (small group id <432, 530>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y2^6, (Y3 * Y2^-1)^4, (Y2^-1 * Y1 * Y2^2 * Y1 * Y2^-2)^2, Y2^-1 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2^2 * Y1 * Y2^-1 * Y1 * Y2 * Y1 * Y2^-1 ]
Map::
	R = (1, 217, 2, 218)(3, 219, 7, 223)(4, 220, 9, 225)(5, 221, 11, 227)(6, 222, 13, 229)(8, 224, 17, 233)(10, 226, 21, 237)(12, 228, 24, 240)(14, 230, 28, 244)(15, 231, 27, 243)(16, 232, 30, 246)(18, 234, 34, 250)(19, 235, 35, 251)(20, 236, 22, 238)(23, 239, 41, 257)(25, 241, 45, 261)(26, 242, 46, 262)(29, 245, 51, 267)(31, 247, 55, 271)(32, 248, 54, 270)(33, 249, 57, 273)(36, 252, 63, 279)(37, 253, 65, 281)(38, 254, 66, 282)(39, 255, 61, 277)(40, 256, 69, 285)(42, 258, 73, 289)(43, 259, 72, 288)(44, 260, 75, 291)(47, 263, 81, 297)(48, 264, 83, 299)(49, 265, 84, 300)(50, 266, 79, 295)(52, 268, 89, 305)(53, 269, 90, 306)(56, 272, 95, 311)(58, 274, 99, 315)(59, 275, 98, 314)(60, 276, 101, 317)(62, 278, 104, 320)(64, 280, 108, 324)(67, 283, 112, 328)(68, 284, 114, 330)(70, 286, 117, 333)(71, 287, 118, 334)(74, 290, 123, 339)(76, 292, 127, 343)(77, 293, 126, 342)(78, 294, 129, 345)(80, 296, 132, 348)(82, 298, 136, 352)(85, 301, 140, 356)(86, 302, 142, 358)(87, 303, 138, 354)(88, 304, 144, 360)(91, 307, 125, 341)(92, 308, 151, 367)(93, 309, 121, 337)(94, 310, 148, 364)(96, 312, 130, 346)(97, 313, 119, 335)(100, 316, 141, 357)(102, 318, 124, 340)(103, 319, 162, 378)(105, 321, 139, 355)(106, 322, 164, 380)(107, 323, 135, 351)(109, 325, 166, 382)(110, 326, 115, 331)(111, 327, 133, 349)(113, 329, 128, 344)(116, 332, 169, 385)(120, 336, 176, 392)(122, 338, 173, 389)(131, 347, 187, 403)(134, 350, 189, 405)(137, 353, 191, 407)(143, 359, 193, 409)(145, 361, 182, 398)(146, 362, 195, 411)(147, 363, 177, 393)(149, 365, 198, 414)(150, 366, 184, 400)(152, 368, 172, 388)(153, 369, 188, 404)(154, 370, 200, 416)(155, 371, 186, 402)(156, 372, 194, 410)(157, 373, 170, 386)(158, 374, 190, 406)(159, 375, 175, 391)(160, 376, 196, 412)(161, 377, 180, 396)(163, 379, 178, 394)(165, 381, 183, 399)(167, 383, 203, 419)(168, 384, 204, 420)(171, 387, 206, 422)(174, 390, 209, 425)(179, 395, 211, 427)(181, 397, 205, 421)(185, 401, 207, 423)(192, 408, 214, 430)(197, 413, 210, 426)(199, 415, 208, 424)(201, 417, 212, 428)(202, 418, 213, 429)(215, 431, 216, 432)(433, 649, 435, 651, 440, 656, 450, 666, 442, 658, 436, 652)(434, 650, 437, 653, 444, 660, 457, 673, 446, 662, 438, 654)(439, 655, 447, 663, 461, 677, 484, 700, 463, 679, 448, 664)(441, 657, 451, 667, 468, 684, 496, 712, 469, 685, 452, 668)(443, 659, 454, 670, 472, 688, 502, 718, 474, 690, 455, 671)(445, 661, 458, 674, 479, 695, 514, 730, 480, 696, 459, 675)(449, 665, 464, 680, 488, 704, 528, 744, 490, 706, 465, 681)(453, 669, 470, 686, 499, 715, 545, 761, 500, 716, 471, 687)(456, 672, 475, 691, 506, 722, 556, 772, 508, 724, 476, 692)(460, 676, 481, 697, 517, 733, 573, 789, 518, 734, 482, 698)(462, 678, 485, 701, 523, 739, 582, 798, 524, 740, 486, 702)(466, 682, 491, 707, 532, 748, 592, 808, 534, 750, 492, 708)(467, 683, 493, 709, 535, 751, 595, 811, 537, 753, 494, 710)(473, 689, 503, 719, 551, 767, 607, 823, 552, 768, 504, 720)(477, 693, 509, 725, 560, 776, 617, 833, 562, 778, 510, 726)(478, 694, 511, 727, 563, 779, 620, 836, 565, 781, 512, 728)(483, 699, 519, 735, 575, 791, 546, 762, 577, 793, 520, 736)(487, 703, 525, 741, 584, 800, 544, 760, 585, 801, 526, 742)(489, 705, 529, 745, 588, 804, 633, 849, 589, 805, 530, 746)(495, 711, 538, 754, 591, 807, 531, 747, 590, 806, 539, 755)(497, 713, 541, 757, 587, 803, 527, 743, 586, 802, 542, 758)(498, 714, 533, 749, 593, 809, 634, 850, 599, 815, 543, 759)(501, 717, 547, 763, 600, 816, 574, 790, 602, 818, 548, 764)(505, 721, 553, 769, 609, 825, 572, 788, 610, 826, 554, 770)(507, 723, 557, 773, 613, 829, 644, 860, 614, 830, 558, 774)(513, 729, 566, 782, 616, 832, 559, 775, 615, 831, 567, 783)(515, 731, 569, 785, 612, 828, 555, 771, 611, 827, 570, 786)(516, 732, 561, 777, 618, 834, 645, 861, 624, 840, 571, 787)(521, 737, 578, 794, 540, 756, 597, 813, 628, 844, 579, 795)(522, 738, 580, 796, 629, 845, 596, 812, 536, 752, 581, 797)(549, 765, 603, 819, 568, 784, 622, 838, 639, 855, 604, 820)(550, 766, 605, 821, 640, 856, 621, 837, 564, 780, 606, 822)(576, 792, 626, 842, 641, 857, 635, 851, 598, 814, 627, 843)(583, 799, 631, 847, 594, 810, 625, 841, 647, 863, 632, 848)(601, 817, 637, 853, 630, 846, 646, 862, 623, 839, 638, 854)(608, 824, 642, 858, 619, 835, 636, 852, 648, 864, 643, 859)
	L = (1, 434)(2, 433)(3, 439)(4, 441)(5, 443)(6, 445)(7, 435)(8, 449)(9, 436)(10, 453)(11, 437)(12, 456)(13, 438)(14, 460)(15, 459)(16, 462)(17, 440)(18, 466)(19, 467)(20, 454)(21, 442)(22, 452)(23, 473)(24, 444)(25, 477)(26, 478)(27, 447)(28, 446)(29, 483)(30, 448)(31, 487)(32, 486)(33, 489)(34, 450)(35, 451)(36, 495)(37, 497)(38, 498)(39, 493)(40, 501)(41, 455)(42, 505)(43, 504)(44, 507)(45, 457)(46, 458)(47, 513)(48, 515)(49, 516)(50, 511)(51, 461)(52, 521)(53, 522)(54, 464)(55, 463)(56, 527)(57, 465)(58, 531)(59, 530)(60, 533)(61, 471)(62, 536)(63, 468)(64, 540)(65, 469)(66, 470)(67, 544)(68, 546)(69, 472)(70, 549)(71, 550)(72, 475)(73, 474)(74, 555)(75, 476)(76, 559)(77, 558)(78, 561)(79, 482)(80, 564)(81, 479)(82, 568)(83, 480)(84, 481)(85, 572)(86, 574)(87, 570)(88, 576)(89, 484)(90, 485)(91, 557)(92, 583)(93, 553)(94, 580)(95, 488)(96, 562)(97, 551)(98, 491)(99, 490)(100, 573)(101, 492)(102, 556)(103, 594)(104, 494)(105, 571)(106, 596)(107, 567)(108, 496)(109, 598)(110, 547)(111, 565)(112, 499)(113, 560)(114, 500)(115, 542)(116, 601)(117, 502)(118, 503)(119, 529)(120, 608)(121, 525)(122, 605)(123, 506)(124, 534)(125, 523)(126, 509)(127, 508)(128, 545)(129, 510)(130, 528)(131, 619)(132, 512)(133, 543)(134, 621)(135, 539)(136, 514)(137, 623)(138, 519)(139, 537)(140, 517)(141, 532)(142, 518)(143, 625)(144, 520)(145, 614)(146, 627)(147, 609)(148, 526)(149, 630)(150, 616)(151, 524)(152, 604)(153, 620)(154, 632)(155, 618)(156, 626)(157, 602)(158, 622)(159, 607)(160, 628)(161, 612)(162, 535)(163, 610)(164, 538)(165, 615)(166, 541)(167, 635)(168, 636)(169, 548)(170, 589)(171, 638)(172, 584)(173, 554)(174, 641)(175, 591)(176, 552)(177, 579)(178, 595)(179, 643)(180, 593)(181, 637)(182, 577)(183, 597)(184, 582)(185, 639)(186, 587)(187, 563)(188, 585)(189, 566)(190, 590)(191, 569)(192, 646)(193, 575)(194, 588)(195, 578)(196, 592)(197, 642)(198, 581)(199, 640)(200, 586)(201, 644)(202, 645)(203, 599)(204, 600)(205, 613)(206, 603)(207, 617)(208, 631)(209, 606)(210, 629)(211, 611)(212, 633)(213, 634)(214, 624)(215, 648)(216, 647)(217, 649)(218, 650)(219, 651)(220, 652)(221, 653)(222, 654)(223, 655)(224, 656)(225, 657)(226, 658)(227, 659)(228, 660)(229, 661)(230, 662)(231, 663)(232, 664)(233, 665)(234, 666)(235, 667)(236, 668)(237, 669)(238, 670)(239, 671)(240, 672)(241, 673)(242, 674)(243, 675)(244, 676)(245, 677)(246, 678)(247, 679)(248, 680)(249, 681)(250, 682)(251, 683)(252, 684)(253, 685)(254, 686)(255, 687)(256, 688)(257, 689)(258, 690)(259, 691)(260, 692)(261, 693)(262, 694)(263, 695)(264, 696)(265, 697)(266, 698)(267, 699)(268, 700)(269, 701)(270, 702)(271, 703)(272, 704)(273, 705)(274, 706)(275, 707)(276, 708)(277, 709)(278, 710)(279, 711)(280, 712)(281, 713)(282, 714)(283, 715)(284, 716)(285, 717)(286, 718)(287, 719)(288, 720)(289, 721)(290, 722)(291, 723)(292, 724)(293, 725)(294, 726)(295, 727)(296, 728)(297, 729)(298, 730)(299, 731)(300, 732)(301, 733)(302, 734)(303, 735)(304, 736)(305, 737)(306, 738)(307, 739)(308, 740)(309, 741)(310, 742)(311, 743)(312, 744)(313, 745)(314, 746)(315, 747)(316, 748)(317, 749)(318, 750)(319, 751)(320, 752)(321, 753)(322, 754)(323, 755)(324, 756)(325, 757)(326, 758)(327, 759)(328, 760)(329, 761)(330, 762)(331, 763)(332, 764)(333, 765)(334, 766)(335, 767)(336, 768)(337, 769)(338, 770)(339, 771)(340, 772)(341, 773)(342, 774)(343, 775)(344, 776)(345, 777)(346, 778)(347, 779)(348, 780)(349, 781)(350, 782)(351, 783)(352, 784)(353, 785)(354, 786)(355, 787)(356, 788)(357, 789)(358, 790)(359, 791)(360, 792)(361, 793)(362, 794)(363, 795)(364, 796)(365, 797)(366, 798)(367, 799)(368, 800)(369, 801)(370, 802)(371, 803)(372, 804)(373, 805)(374, 806)(375, 807)(376, 808)(377, 809)(378, 810)(379, 811)(380, 812)(381, 813)(382, 814)(383, 815)(384, 816)(385, 817)(386, 818)(387, 819)(388, 820)(389, 821)(390, 822)(391, 823)(392, 824)(393, 825)(394, 826)(395, 827)(396, 828)(397, 829)(398, 830)(399, 831)(400, 832)(401, 833)(402, 834)(403, 835)(404, 836)(405, 837)(406, 838)(407, 839)(408, 840)(409, 841)(410, 842)(411, 843)(412, 844)(413, 845)(414, 846)(415, 847)(416, 848)(417, 849)(418, 850)(419, 851)(420, 852)(421, 853)(422, 854)(423, 855)(424, 856)(425, 857)(426, 858)(427, 859)(428, 860)(429, 861)(430, 862)(431, 863)(432, 864)
	local type(s) :: { ( 2, 8, 2, 8 ), ( 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8 ) }
Outer automorphisms :: reflexible
Dual of E10.922
Graph:: bipartite
	v = 144 e = 432 f = 270
	degree seq :: [ 4^108, 12^36 ]

E10.922 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 6})
Quotient :: dipole
Aut^+ = (((C3 x C3) : C3) : C4) : C2 (small group id <216, 87>)
Aut   = $<432, 530>$ (small group id <432, 530>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y3)^2, (R * Y1)^2, Y1^4, (Y3^-1 * Y1^-1)^2, (R * Y2 * Y3^-1)^2, Y3^6, (Y3^-1 * Y1 * Y3^-2 * Y1)^2, (Y3 * Y2^-1)^6, Y3 * Y1^-1 * Y3^-1 * Y1 * Y3^2 * Y1 * Y3^-2 * Y1^-2 * Y3^-2 * Y1^-1 ]
Map:: polytopal
	R = (1, 217, 2, 218, 6, 222, 4, 220)(3, 219, 9, 225, 21, 237, 11, 227)(5, 221, 13, 229, 18, 234, 7, 223)(8, 224, 19, 235, 33, 249, 15, 231)(10, 226, 23, 239, 47, 263, 25, 241)(12, 228, 16, 232, 34, 250, 28, 244)(14, 230, 31, 247, 58, 274, 29, 245)(17, 233, 36, 252, 69, 285, 38, 254)(20, 236, 42, 258, 77, 293, 40, 256)(22, 238, 45, 261, 82, 298, 43, 259)(24, 240, 49, 265, 92, 308, 50, 266)(26, 242, 44, 260, 83, 299, 53, 269)(27, 243, 54, 270, 98, 314, 55, 271)(30, 246, 59, 275, 75, 291, 39, 255)(32, 248, 62, 278, 109, 325, 64, 280)(35, 251, 68, 284, 117, 333, 66, 282)(37, 253, 71, 287, 125, 341, 72, 288)(41, 257, 78, 294, 115, 331, 65, 281)(46, 262, 87, 303, 144, 360, 85, 301)(48, 264, 90, 306, 148, 364, 88, 304)(51, 267, 89, 305, 135, 351, 79, 295)(52, 268, 96, 312, 134, 350, 80, 296)(56, 272, 67, 283, 118, 334, 102, 318)(57, 273, 103, 319, 163, 379, 105, 321)(60, 276, 100, 316, 158, 374, 107, 323)(61, 277, 101, 317, 162, 378, 106, 322)(63, 279, 111, 327, 171, 387, 112, 328)(70, 286, 123, 339, 184, 400, 121, 337)(73, 289, 122, 338, 181, 397, 119, 335)(74, 290, 129, 345, 180, 396, 120, 336)(76, 292, 131, 347, 193, 409, 133, 349)(81, 297, 137, 353, 197, 413, 139, 355)(84, 300, 113, 329, 168, 384, 141, 357)(86, 302, 114, 330, 175, 391, 140, 356)(91, 307, 136, 352, 173, 389, 150, 366)(93, 309, 128, 344, 178, 394, 152, 368)(94, 310, 153, 369, 170, 386, 145, 361)(95, 311, 132, 348, 195, 411, 146, 362)(97, 313, 142, 358, 176, 392, 130, 346)(99, 315, 159, 375, 204, 420, 157, 373)(104, 320, 165, 381, 172, 388, 161, 377)(108, 324, 127, 343, 189, 405, 160, 376)(110, 326, 169, 385, 208, 424, 167, 383)(116, 332, 177, 393, 214, 430, 179, 395)(124, 340, 182, 398, 143, 359, 186, 402)(126, 342, 174, 390, 138, 354, 188, 404)(147, 363, 183, 399, 207, 423, 205, 421)(149, 365, 199, 415, 216, 432, 192, 408)(151, 367, 200, 416, 213, 429, 185, 401)(154, 370, 203, 419, 211, 427, 190, 406)(155, 371, 202, 418, 212, 428, 191, 407)(156, 372, 206, 422, 210, 426, 196, 412)(164, 380, 194, 410, 215, 431, 198, 414)(166, 382, 201, 417, 209, 425, 187, 403)(433, 649)(434, 650)(435, 651)(436, 652)(437, 653)(438, 654)(439, 655)(440, 656)(441, 657)(442, 658)(443, 659)(444, 660)(445, 661)(446, 662)(447, 663)(448, 664)(449, 665)(450, 666)(451, 667)(452, 668)(453, 669)(454, 670)(455, 671)(456, 672)(457, 673)(458, 674)(459, 675)(460, 676)(461, 677)(462, 678)(463, 679)(464, 680)(465, 681)(466, 682)(467, 683)(468, 684)(469, 685)(470, 686)(471, 687)(472, 688)(473, 689)(474, 690)(475, 691)(476, 692)(477, 693)(478, 694)(479, 695)(480, 696)(481, 697)(482, 698)(483, 699)(484, 700)(485, 701)(486, 702)(487, 703)(488, 704)(489, 705)(490, 706)(491, 707)(492, 708)(493, 709)(494, 710)(495, 711)(496, 712)(497, 713)(498, 714)(499, 715)(500, 716)(501, 717)(502, 718)(503, 719)(504, 720)(505, 721)(506, 722)(507, 723)(508, 724)(509, 725)(510, 726)(511, 727)(512, 728)(513, 729)(514, 730)(515, 731)(516, 732)(517, 733)(518, 734)(519, 735)(520, 736)(521, 737)(522, 738)(523, 739)(524, 740)(525, 741)(526, 742)(527, 743)(528, 744)(529, 745)(530, 746)(531, 747)(532, 748)(533, 749)(534, 750)(535, 751)(536, 752)(537, 753)(538, 754)(539, 755)(540, 756)(541, 757)(542, 758)(543, 759)(544, 760)(545, 761)(546, 762)(547, 763)(548, 764)(549, 765)(550, 766)(551, 767)(552, 768)(553, 769)(554, 770)(555, 771)(556, 772)(557, 773)(558, 774)(559, 775)(560, 776)(561, 777)(562, 778)(563, 779)(564, 780)(565, 781)(566, 782)(567, 783)(568, 784)(569, 785)(570, 786)(571, 787)(572, 788)(573, 789)(574, 790)(575, 791)(576, 792)(577, 793)(578, 794)(579, 795)(580, 796)(581, 797)(582, 798)(583, 799)(584, 800)(585, 801)(586, 802)(587, 803)(588, 804)(589, 805)(590, 806)(591, 807)(592, 808)(593, 809)(594, 810)(595, 811)(596, 812)(597, 813)(598, 814)(599, 815)(600, 816)(601, 817)(602, 818)(603, 819)(604, 820)(605, 821)(606, 822)(607, 823)(608, 824)(609, 825)(610, 826)(611, 827)(612, 828)(613, 829)(614, 830)(615, 831)(616, 832)(617, 833)(618, 834)(619, 835)(620, 836)(621, 837)(622, 838)(623, 839)(624, 840)(625, 841)(626, 842)(627, 843)(628, 844)(629, 845)(630, 846)(631, 847)(632, 848)(633, 849)(634, 850)(635, 851)(636, 852)(637, 853)(638, 854)(639, 855)(640, 856)(641, 857)(642, 858)(643, 859)(644, 860)(645, 861)(646, 862)(647, 863)(648, 864)
	L = (1, 435)(2, 439)(3, 442)(4, 444)(5, 433)(6, 447)(7, 449)(8, 434)(9, 436)(10, 456)(11, 458)(12, 459)(13, 461)(14, 437)(15, 464)(16, 438)(17, 469)(18, 471)(19, 472)(20, 440)(21, 475)(22, 441)(23, 443)(24, 446)(25, 483)(26, 484)(27, 478)(28, 488)(29, 489)(30, 445)(31, 482)(32, 495)(33, 497)(34, 498)(35, 448)(36, 450)(37, 452)(38, 505)(39, 506)(40, 508)(41, 451)(42, 504)(43, 513)(44, 453)(45, 517)(46, 454)(47, 520)(48, 455)(49, 457)(50, 526)(51, 527)(52, 523)(53, 529)(54, 460)(55, 532)(56, 533)(57, 536)(58, 538)(59, 539)(60, 462)(61, 463)(62, 465)(63, 467)(64, 545)(65, 546)(66, 548)(67, 466)(68, 544)(69, 553)(70, 468)(71, 470)(72, 559)(73, 560)(74, 556)(75, 562)(76, 564)(77, 566)(78, 567)(79, 473)(80, 474)(81, 570)(82, 572)(83, 573)(84, 476)(85, 575)(86, 477)(87, 487)(88, 579)(89, 479)(90, 582)(91, 480)(92, 584)(93, 481)(94, 587)(95, 586)(96, 485)(97, 491)(98, 589)(99, 486)(100, 593)(101, 592)(102, 574)(103, 490)(104, 492)(105, 583)(106, 598)(107, 588)(108, 493)(109, 599)(110, 494)(111, 496)(112, 605)(113, 606)(114, 602)(115, 608)(116, 610)(117, 612)(118, 613)(119, 499)(120, 500)(121, 615)(122, 501)(123, 618)(124, 502)(125, 620)(126, 503)(127, 623)(128, 622)(129, 507)(130, 510)(131, 509)(132, 511)(133, 619)(134, 628)(135, 624)(136, 512)(137, 514)(138, 516)(139, 631)(140, 632)(141, 633)(142, 515)(143, 634)(144, 627)(145, 518)(146, 519)(147, 636)(148, 617)(149, 521)(150, 603)(151, 522)(152, 611)(153, 524)(154, 525)(155, 540)(156, 528)(157, 637)(158, 530)(159, 621)(160, 531)(161, 635)(162, 534)(163, 630)(164, 535)(165, 537)(166, 625)(167, 639)(168, 541)(169, 585)(170, 542)(171, 597)(172, 543)(173, 644)(174, 643)(175, 547)(176, 550)(177, 549)(178, 551)(179, 642)(180, 648)(181, 645)(182, 552)(183, 580)(184, 641)(185, 554)(186, 576)(187, 555)(188, 571)(189, 557)(190, 558)(191, 568)(192, 561)(193, 596)(194, 563)(195, 565)(196, 646)(197, 647)(198, 569)(199, 591)(200, 595)(201, 594)(202, 577)(203, 578)(204, 581)(205, 640)(206, 590)(207, 616)(208, 638)(209, 600)(210, 601)(211, 604)(212, 614)(213, 607)(214, 626)(215, 609)(216, 629)(217, 649)(218, 650)(219, 651)(220, 652)(221, 653)(222, 654)(223, 655)(224, 656)(225, 657)(226, 658)(227, 659)(228, 660)(229, 661)(230, 662)(231, 663)(232, 664)(233, 665)(234, 666)(235, 667)(236, 668)(237, 669)(238, 670)(239, 671)(240, 672)(241, 673)(242, 674)(243, 675)(244, 676)(245, 677)(246, 678)(247, 679)(248, 680)(249, 681)(250, 682)(251, 683)(252, 684)(253, 685)(254, 686)(255, 687)(256, 688)(257, 689)(258, 690)(259, 691)(260, 692)(261, 693)(262, 694)(263, 695)(264, 696)(265, 697)(266, 698)(267, 699)(268, 700)(269, 701)(270, 702)(271, 703)(272, 704)(273, 705)(274, 706)(275, 707)(276, 708)(277, 709)(278, 710)(279, 711)(280, 712)(281, 713)(282, 714)(283, 715)(284, 716)(285, 717)(286, 718)(287, 719)(288, 720)(289, 721)(290, 722)(291, 723)(292, 724)(293, 725)(294, 726)(295, 727)(296, 728)(297, 729)(298, 730)(299, 731)(300, 732)(301, 733)(302, 734)(303, 735)(304, 736)(305, 737)(306, 738)(307, 739)(308, 740)(309, 741)(310, 742)(311, 743)(312, 744)(313, 745)(314, 746)(315, 747)(316, 748)(317, 749)(318, 750)(319, 751)(320, 752)(321, 753)(322, 754)(323, 755)(324, 756)(325, 757)(326, 758)(327, 759)(328, 760)(329, 761)(330, 762)(331, 763)(332, 764)(333, 765)(334, 766)(335, 767)(336, 768)(337, 769)(338, 770)(339, 771)(340, 772)(341, 773)(342, 774)(343, 775)(344, 776)(345, 777)(346, 778)(347, 779)(348, 780)(349, 781)(350, 782)(351, 783)(352, 784)(353, 785)(354, 786)(355, 787)(356, 788)(357, 789)(358, 790)(359, 791)(360, 792)(361, 793)(362, 794)(363, 795)(364, 796)(365, 797)(366, 798)(367, 799)(368, 800)(369, 801)(370, 802)(371, 803)(372, 804)(373, 805)(374, 806)(375, 807)(376, 808)(377, 809)(378, 810)(379, 811)(380, 812)(381, 813)(382, 814)(383, 815)(384, 816)(385, 817)(386, 818)(387, 819)(388, 820)(389, 821)(390, 822)(391, 823)(392, 824)(393, 825)(394, 826)(395, 827)(396, 828)(397, 829)(398, 830)(399, 831)(400, 832)(401, 833)(402, 834)(403, 835)(404, 836)(405, 837)(406, 838)(407, 839)(408, 840)(409, 841)(410, 842)(411, 843)(412, 844)(413, 845)(414, 846)(415, 847)(416, 848)(417, 849)(418, 850)(419, 851)(420, 852)(421, 853)(422, 854)(423, 855)(424, 856)(425, 857)(426, 858)(427, 859)(428, 860)(429, 861)(430, 862)(431, 863)(432, 864)
	local type(s) :: { ( 4, 12 ), ( 4, 12, 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E10.921
Graph:: simple bipartite
	v = 270 e = 432 f = 144
	degree seq :: [ 2^216, 8^54 ]

E10.923 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 4, 6})
Quotient :: regular
Aut^+ = (C3 x S3 x S3) : C2 (small group id <216, 158>)
Aut   = $<432, 741>$ (small group id <432, 741>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T1^6, (T1^-1 * T2)^4, T1 * T2 * T1^-2 * T2 * T1^-2 * T2 * T1^2 * T2 * T1, (T1^-1 * T2 * T1^-2)^4 ]
Map:: polyhedral non-degenerate
	R = (1, 2, 5, 11, 10, 4)(3, 7, 15, 29, 18, 8)(6, 13, 25, 46, 28, 14)(9, 19, 35, 61, 37, 20)(12, 23, 42, 73, 45, 24)(16, 31, 54, 92, 56, 32)(17, 33, 57, 82, 48, 26)(21, 38, 66, 107, 68, 39)(22, 40, 69, 109, 72, 41)(27, 49, 83, 117, 75, 43)(30, 52, 74, 115, 91, 53)(34, 59, 77, 120, 100, 60)(36, 63, 103, 149, 105, 64)(44, 76, 118, 156, 111, 70)(47, 79, 110, 102, 62, 80)(50, 85, 113, 106, 65, 86)(51, 87, 131, 154, 134, 88)(55, 94, 140, 180, 135, 89)(58, 97, 144, 174, 127, 98)(67, 71, 112, 157, 153, 108)(78, 121, 167, 152, 170, 122)(81, 125, 95, 142, 171, 123)(84, 128, 175, 199, 164, 129)(90, 136, 181, 192, 178, 132)(93, 138, 177, 143, 96, 139)(99, 133, 179, 193, 165, 119)(101, 146, 160, 114, 159, 147)(104, 151, 190, 201, 168, 124)(116, 162, 126, 173, 196, 161)(130, 169, 202, 189, 194, 158)(137, 182, 150, 166, 195, 183)(141, 172, 197, 211, 208, 185)(145, 176, 200, 212, 209, 184)(148, 155, 191, 163, 198, 188)(186, 210, 213, 204, 215, 206)(187, 205, 214, 207, 216, 203)
	L = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 17)(10, 21)(11, 22)(13, 26)(14, 27)(15, 30)(18, 34)(19, 36)(20, 31)(23, 43)(24, 44)(25, 47)(28, 50)(29, 51)(32, 55)(33, 58)(35, 62)(37, 65)(38, 67)(39, 63)(40, 70)(41, 71)(42, 74)(45, 77)(46, 78)(48, 81)(49, 84)(52, 89)(53, 90)(54, 93)(56, 95)(57, 96)(59, 99)(60, 97)(61, 101)(64, 104)(66, 91)(68, 100)(69, 110)(72, 113)(73, 114)(75, 116)(76, 119)(79, 123)(80, 124)(82, 126)(83, 127)(85, 130)(86, 128)(87, 132)(88, 133)(92, 137)(94, 141)(98, 145)(102, 148)(103, 150)(105, 140)(106, 138)(107, 152)(108, 136)(109, 154)(111, 155)(112, 158)(115, 161)(117, 163)(118, 164)(120, 166)(121, 168)(122, 169)(125, 172)(129, 176)(131, 177)(134, 171)(135, 159)(139, 184)(142, 186)(143, 187)(144, 167)(146, 188)(147, 175)(149, 189)(151, 185)(153, 190)(156, 192)(157, 193)(160, 195)(162, 197)(165, 200)(170, 196)(173, 203)(174, 204)(178, 205)(179, 206)(180, 207)(181, 208)(182, 209)(183, 210)(191, 211)(194, 212)(198, 213)(199, 214)(201, 215)(202, 216)
	local type(s) :: { ( 4^6 ) }
Outer automorphisms :: reflexible
Dual of E10.924
Transitivity :: ET+ VT+ AT+ REG+
Graph:: simple bipartite
	v = 36 e = 108 f = 54
	degree seq :: [ 6^36 ]

E10.924 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 4, 6})
Quotient :: regular
Aut^+ = (C3 x S3 x S3) : C2 (small group id <216, 158>)
Aut   = $<432, 741>$ (small group id <432, 741>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T1^4, (T1^-1 * T2)^6, T2 * T1^-2 * T2 * T1 * T2 * T1^-1 * T2 * T1^-2 * T2 * T1^-1 * T2 * T1 ]
Map:: polyhedral non-degenerate
	R = (1, 2, 5, 4)(3, 7, 13, 8)(6, 11, 20, 12)(9, 16, 28, 17)(10, 18, 31, 19)(14, 24, 41, 25)(15, 26, 44, 27)(21, 35, 59, 36)(22, 37, 62, 38)(23, 39, 65, 40)(29, 48, 79, 49)(30, 50, 82, 51)(32, 53, 86, 54)(33, 55, 89, 56)(34, 57, 92, 58)(42, 69, 108, 70)(43, 71, 90, 72)(45, 74, 88, 75)(46, 76, 96, 60)(47, 77, 117, 78)(52, 84, 121, 85)(61, 97, 83, 98)(63, 100, 81, 101)(64, 102, 125, 87)(66, 104, 141, 105)(67, 99, 135, 106)(68, 93, 129, 107)(73, 112, 151, 113)(80, 91, 127, 119)(94, 126, 163, 130)(95, 122, 159, 131)(103, 139, 158, 140)(109, 146, 116, 147)(110, 148, 115, 149)(111, 150, 179, 142)(114, 143, 180, 153)(118, 155, 161, 124)(120, 157, 160, 123)(128, 165, 154, 166)(132, 170, 138, 171)(133, 172, 137, 173)(134, 174, 192, 167)(136, 168, 193, 176)(144, 175, 198, 181)(145, 177, 156, 182)(152, 186, 199, 178)(162, 189, 164, 190)(169, 191, 210, 194)(183, 204, 185, 205)(184, 202, 209, 206)(187, 207, 208, 188)(195, 214, 197, 215)(196, 213, 203, 216)(200, 212, 201, 211)
	L = (1, 3)(2, 6)(4, 9)(5, 10)(7, 14)(8, 15)(11, 21)(12, 22)(13, 23)(16, 29)(17, 30)(18, 32)(19, 33)(20, 34)(24, 42)(25, 43)(26, 45)(27, 46)(28, 47)(31, 52)(35, 60)(36, 61)(37, 63)(38, 64)(39, 66)(40, 67)(41, 68)(44, 73)(48, 80)(49, 81)(50, 83)(51, 69)(53, 87)(54, 88)(55, 90)(56, 91)(57, 93)(58, 94)(59, 95)(62, 99)(65, 103)(70, 109)(71, 110)(72, 111)(74, 114)(75, 115)(76, 116)(77, 118)(78, 113)(79, 105)(82, 120)(84, 122)(85, 123)(86, 124)(89, 126)(92, 128)(96, 132)(97, 133)(98, 134)(100, 136)(101, 137)(102, 138)(104, 142)(106, 143)(107, 144)(108, 145)(112, 152)(117, 154)(119, 156)(121, 158)(125, 162)(127, 164)(129, 167)(130, 168)(131, 169)(135, 175)(139, 177)(140, 171)(141, 178)(146, 183)(147, 165)(148, 184)(149, 185)(150, 160)(151, 174)(153, 159)(155, 176)(157, 187)(161, 188)(163, 191)(166, 190)(170, 195)(172, 196)(173, 197)(179, 200)(180, 201)(181, 202)(182, 203)(186, 206)(189, 209)(192, 211)(193, 212)(194, 213)(198, 216)(199, 215)(204, 210)(205, 208)(207, 214)
	local type(s) :: { ( 6^4 ) }
Outer automorphisms :: reflexible
Dual of E10.923
Transitivity :: ET+ VT+ AT+ REG+
Graph:: simple bipartite
	v = 54 e = 108 f = 36
	degree seq :: [ 4^54 ]

E10.925 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 4, 6})
Quotient :: edge
Aut^+ = (C3 x S3 x S3) : C2 (small group id <216, 158>)
Aut   = $<432, 741>$ (small group id <432, 741>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T1)^2, (F * T2)^2, T2^4, (T2^-1 * T1)^6, T1 * T2^-2 * T1 * T2 * T1 * T2^-1 * T1 * T2^-2 * T1 * T2^-1 * 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, 65, 40)(25, 42, 70, 43)(28, 47, 78, 48)(30, 50, 83, 51)(31, 52, 84, 53)(33, 55, 89, 56)(36, 60, 97, 61)(38, 63, 102, 64)(41, 67, 106, 68)(44, 72, 112, 73)(46, 75, 115, 76)(49, 80, 119, 81)(54, 86, 124, 87)(57, 91, 130, 92)(59, 94, 133, 95)(62, 99, 137, 100)(66, 104, 82, 105)(69, 108, 79, 109)(71, 110, 149, 111)(74, 113, 151, 114)(77, 116, 153, 117)(85, 122, 101, 123)(88, 126, 98, 127)(90, 128, 168, 129)(93, 131, 170, 132)(96, 134, 172, 135)(103, 139, 173, 140)(107, 144, 181, 145)(118, 155, 185, 150)(120, 157, 167, 152)(121, 158, 154, 159)(125, 163, 192, 164)(136, 174, 196, 169)(138, 176, 148, 171)(141, 178, 147, 179)(142, 175, 191, 162)(143, 161, 156, 180)(146, 182, 204, 183)(160, 189, 166, 190)(165, 193, 213, 194)(177, 199, 210, 200)(184, 205, 186, 203)(187, 207, 211, 206)(188, 208, 201, 209)(195, 214, 197, 212)(198, 216, 202, 215)(217, 218)(219, 223)(220, 225)(221, 226)(222, 228)(224, 231)(227, 236)(229, 239)(230, 241)(232, 244)(233, 246)(234, 247)(235, 249)(237, 252)(238, 254)(240, 257)(242, 260)(243, 262)(245, 265)(248, 270)(250, 273)(251, 275)(253, 278)(255, 280)(256, 282)(258, 285)(259, 287)(261, 290)(263, 293)(264, 295)(266, 298)(267, 268)(269, 301)(271, 304)(272, 306)(274, 309)(276, 312)(277, 314)(279, 317)(281, 319)(283, 302)(284, 323)(286, 310)(288, 327)(289, 313)(291, 305)(292, 332)(294, 308)(296, 334)(297, 316)(299, 336)(300, 337)(303, 341)(307, 345)(311, 350)(315, 352)(318, 354)(320, 357)(321, 358)(322, 359)(324, 362)(325, 363)(326, 364)(328, 366)(329, 355)(330, 368)(331, 360)(333, 370)(335, 372)(338, 376)(339, 377)(340, 378)(342, 381)(343, 382)(344, 383)(346, 385)(347, 374)(348, 387)(349, 379)(351, 389)(353, 391)(356, 393)(361, 398)(365, 400)(367, 386)(369, 402)(371, 399)(373, 403)(375, 404)(380, 409)(384, 411)(388, 413)(390, 410)(392, 414)(394, 417)(395, 418)(396, 419)(397, 415)(401, 422)(405, 426)(406, 427)(407, 428)(408, 424)(412, 431)(416, 425)(420, 430)(421, 429)(423, 432)
	L = (1, 217)(2, 218)(3, 219)(4, 220)(5, 221)(6, 222)(7, 223)(8, 224)(9, 225)(10, 226)(11, 227)(12, 228)(13, 229)(14, 230)(15, 231)(16, 232)(17, 233)(18, 234)(19, 235)(20, 236)(21, 237)(22, 238)(23, 239)(24, 240)(25, 241)(26, 242)(27, 243)(28, 244)(29, 245)(30, 246)(31, 247)(32, 248)(33, 249)(34, 250)(35, 251)(36, 252)(37, 253)(38, 254)(39, 255)(40, 256)(41, 257)(42, 258)(43, 259)(44, 260)(45, 261)(46, 262)(47, 263)(48, 264)(49, 265)(50, 266)(51, 267)(52, 268)(53, 269)(54, 270)(55, 271)(56, 272)(57, 273)(58, 274)(59, 275)(60, 276)(61, 277)(62, 278)(63, 279)(64, 280)(65, 281)(66, 282)(67, 283)(68, 284)(69, 285)(70, 286)(71, 287)(72, 288)(73, 289)(74, 290)(75, 291)(76, 292)(77, 293)(78, 294)(79, 295)(80, 296)(81, 297)(82, 298)(83, 299)(84, 300)(85, 301)(86, 302)(87, 303)(88, 304)(89, 305)(90, 306)(91, 307)(92, 308)(93, 309)(94, 310)(95, 311)(96, 312)(97, 313)(98, 314)(99, 315)(100, 316)(101, 317)(102, 318)(103, 319)(104, 320)(105, 321)(106, 322)(107, 323)(108, 324)(109, 325)(110, 326)(111, 327)(112, 328)(113, 329)(114, 330)(115, 331)(116, 332)(117, 333)(118, 334)(119, 335)(120, 336)(121, 337)(122, 338)(123, 339)(124, 340)(125, 341)(126, 342)(127, 343)(128, 344)(129, 345)(130, 346)(131, 347)(132, 348)(133, 349)(134, 350)(135, 351)(136, 352)(137, 353)(138, 354)(139, 355)(140, 356)(141, 357)(142, 358)(143, 359)(144, 360)(145, 361)(146, 362)(147, 363)(148, 364)(149, 365)(150, 366)(151, 367)(152, 368)(153, 369)(154, 370)(155, 371)(156, 372)(157, 373)(158, 374)(159, 375)(160, 376)(161, 377)(162, 378)(163, 379)(164, 380)(165, 381)(166, 382)(167, 383)(168, 384)(169, 385)(170, 386)(171, 387)(172, 388)(173, 389)(174, 390)(175, 391)(176, 392)(177, 393)(178, 394)(179, 395)(180, 396)(181, 397)(182, 398)(183, 399)(184, 400)(185, 401)(186, 402)(187, 403)(188, 404)(189, 405)(190, 406)(191, 407)(192, 408)(193, 409)(194, 410)(195, 411)(196, 412)(197, 413)(198, 414)(199, 415)(200, 416)(201, 417)(202, 418)(203, 419)(204, 420)(205, 421)(206, 422)(207, 423)(208, 424)(209, 425)(210, 426)(211, 427)(212, 428)(213, 429)(214, 430)(215, 431)(216, 432)
	local type(s) :: { ( 12, 12 ), ( 12^4 ) }
Outer automorphisms :: reflexible
Dual of E10.929
Transitivity :: ET+
Graph:: simple bipartite
	v = 162 e = 216 f = 36
	degree seq :: [ 2^108, 4^54 ]

E10.926 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 4, 6})
Quotient :: edge
Aut^+ = (C3 x S3 x S3) : C2 (small group id <216, 158>)
Aut   = $<432, 741>$ (small group id <432, 741>)
|r| :: 2
Presentation :: [ F^2, (T2^-1 * T1^-1)^2, (F * T2)^2, (F * T1)^2, T1^4, T2^6, T2^2 * T1^-1 * T2 * T1^-1 * T2^-2 * T1 * T2^-1 * T1, (T2^-1 * T1 * T2^-1)^4, T2^-3 * T1 * T2^-3 * T1^-1 * T2^2 * T1^-1 * T2^2 * T1^-1 ]
Map:: polyhedral non-degenerate
	R = (1, 3, 10, 24, 14, 5)(2, 7, 17, 37, 20, 8)(4, 12, 27, 46, 22, 9)(6, 15, 32, 63, 35, 16)(11, 26, 52, 90, 48, 23)(13, 29, 57, 102, 60, 30)(18, 39, 74, 120, 70, 36)(19, 40, 76, 127, 79, 41)(21, 43, 81, 132, 84, 44)(25, 51, 94, 145, 92, 49)(28, 56, 95, 146, 99, 54)(31, 50, 93, 129, 78, 61)(33, 65, 111, 155, 107, 62)(34, 66, 113, 162, 116, 67)(38, 73, 53, 97, 122, 71)(42, 72, 123, 164, 115, 80)(45, 85, 136, 104, 59, 86)(47, 88, 139, 181, 141, 89)(55, 100, 112, 160, 138, 87)(58, 103, 152, 189, 150, 101)(64, 110, 75, 125, 157, 108)(68, 109, 158, 134, 83, 117)(69, 118, 166, 200, 167, 119)(77, 128, 174, 205, 172, 126)(82, 133, 177, 207, 175, 131)(91, 143, 185, 206, 186, 144)(96, 147, 105, 151, 184, 142)(98, 148, 187, 211, 188, 149)(106, 153, 191, 212, 192, 154)(114, 163, 199, 216, 197, 161)(121, 169, 203, 183, 204, 170)(124, 171, 130, 173, 202, 168)(135, 176, 208, 182, 140, 178)(137, 180, 210, 190, 209, 179)(156, 194, 214, 201, 215, 195)(159, 196, 165, 198, 213, 193)(217, 218, 222, 220)(219, 225, 237, 227)(221, 229, 234, 223)(224, 235, 249, 231)(226, 239, 263, 241)(228, 232, 250, 244)(230, 247, 274, 245)(233, 252, 285, 254)(236, 258, 293, 256)(238, 261, 298, 259)(240, 265, 307, 266)(242, 260, 299, 269)(243, 270, 314, 271)(246, 275, 291, 255)(248, 278, 322, 280)(251, 284, 330, 282)(253, 287, 337, 288)(257, 294, 328, 281)(262, 303, 353, 301)(264, 292, 342, 304)(267, 305, 356, 311)(268, 289, 335, 312)(272, 283, 331, 310)(273, 317, 364, 315)(276, 321, 349, 302)(277, 295, 346, 319)(279, 324, 372, 325)(286, 329, 377, 334)(290, 326, 370, 340)(296, 332, 381, 344)(297, 347, 369, 323)(300, 351, 379, 333)(306, 358, 389, 343)(308, 352, 395, 359)(309, 360, 385, 338)(313, 350, 376, 345)(316, 365, 375, 327)(318, 362, 398, 367)(320, 361, 380, 341)(336, 384, 414, 378)(339, 386, 410, 373)(348, 371, 409, 392)(354, 374, 411, 396)(355, 388, 407, 391)(357, 399, 415, 394)(363, 383, 417, 393)(366, 382, 413, 403)(368, 387, 408, 406)(390, 412, 404, 422)(397, 423, 430, 420)(400, 424, 429, 418)(401, 425, 428, 421)(402, 427, 432, 419)(405, 426, 431, 416)
	L = (1, 217)(2, 218)(3, 219)(4, 220)(5, 221)(6, 222)(7, 223)(8, 224)(9, 225)(10, 226)(11, 227)(12, 228)(13, 229)(14, 230)(15, 231)(16, 232)(17, 233)(18, 234)(19, 235)(20, 236)(21, 237)(22, 238)(23, 239)(24, 240)(25, 241)(26, 242)(27, 243)(28, 244)(29, 245)(30, 246)(31, 247)(32, 248)(33, 249)(34, 250)(35, 251)(36, 252)(37, 253)(38, 254)(39, 255)(40, 256)(41, 257)(42, 258)(43, 259)(44, 260)(45, 261)(46, 262)(47, 263)(48, 264)(49, 265)(50, 266)(51, 267)(52, 268)(53, 269)(54, 270)(55, 271)(56, 272)(57, 273)(58, 274)(59, 275)(60, 276)(61, 277)(62, 278)(63, 279)(64, 280)(65, 281)(66, 282)(67, 283)(68, 284)(69, 285)(70, 286)(71, 287)(72, 288)(73, 289)(74, 290)(75, 291)(76, 292)(77, 293)(78, 294)(79, 295)(80, 296)(81, 297)(82, 298)(83, 299)(84, 300)(85, 301)(86, 302)(87, 303)(88, 304)(89, 305)(90, 306)(91, 307)(92, 308)(93, 309)(94, 310)(95, 311)(96, 312)(97, 313)(98, 314)(99, 315)(100, 316)(101, 317)(102, 318)(103, 319)(104, 320)(105, 321)(106, 322)(107, 323)(108, 324)(109, 325)(110, 326)(111, 327)(112, 328)(113, 329)(114, 330)(115, 331)(116, 332)(117, 333)(118, 334)(119, 335)(120, 336)(121, 337)(122, 338)(123, 339)(124, 340)(125, 341)(126, 342)(127, 343)(128, 344)(129, 345)(130, 346)(131, 347)(132, 348)(133, 349)(134, 350)(135, 351)(136, 352)(137, 353)(138, 354)(139, 355)(140, 356)(141, 357)(142, 358)(143, 359)(144, 360)(145, 361)(146, 362)(147, 363)(148, 364)(149, 365)(150, 366)(151, 367)(152, 368)(153, 369)(154, 370)(155, 371)(156, 372)(157, 373)(158, 374)(159, 375)(160, 376)(161, 377)(162, 378)(163, 379)(164, 380)(165, 381)(166, 382)(167, 383)(168, 384)(169, 385)(170, 386)(171, 387)(172, 388)(173, 389)(174, 390)(175, 391)(176, 392)(177, 393)(178, 394)(179, 395)(180, 396)(181, 397)(182, 398)(183, 399)(184, 400)(185, 401)(186, 402)(187, 403)(188, 404)(189, 405)(190, 406)(191, 407)(192, 408)(193, 409)(194, 410)(195, 411)(196, 412)(197, 413)(198, 414)(199, 415)(200, 416)(201, 417)(202, 418)(203, 419)(204, 420)(205, 421)(206, 422)(207, 423)(208, 424)(209, 425)(210, 426)(211, 427)(212, 428)(213, 429)(214, 430)(215, 431)(216, 432)
	local type(s) :: { ( 4^4 ), ( 4^6 ) }
Outer automorphisms :: reflexible
Dual of E10.930
Transitivity :: ET+
Graph:: simple bipartite
	v = 90 e = 216 f = 108
	degree seq :: [ 4^54, 6^36 ]

E10.927 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 4, 6})
Quotient :: edge
Aut^+ = (C3 x S3 x S3) : C2 (small group id <216, 158>)
Aut   = $<432, 741>$ (small group id <432, 741>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T1^6, (T2 * T1^-1)^4, T1^-1 * T2 * T1^2 * T2 * T1^2 * T2 * T1^-2 * T2 * T1^-1, (T1^-1 * T2 * T1^-2)^4 ]
Map:: polytopal
	R = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 17)(10, 21)(11, 22)(13, 26)(14, 27)(15, 30)(18, 34)(19, 36)(20, 31)(23, 43)(24, 44)(25, 47)(28, 50)(29, 51)(32, 55)(33, 58)(35, 62)(37, 65)(38, 67)(39, 63)(40, 70)(41, 71)(42, 74)(45, 77)(46, 78)(48, 81)(49, 84)(52, 89)(53, 90)(54, 93)(56, 95)(57, 96)(59, 99)(60, 97)(61, 101)(64, 104)(66, 91)(68, 100)(69, 110)(72, 113)(73, 114)(75, 116)(76, 119)(79, 123)(80, 124)(82, 126)(83, 127)(85, 130)(86, 128)(87, 132)(88, 133)(92, 137)(94, 141)(98, 145)(102, 148)(103, 150)(105, 140)(106, 138)(107, 152)(108, 136)(109, 154)(111, 155)(112, 158)(115, 161)(117, 163)(118, 164)(120, 166)(121, 168)(122, 169)(125, 172)(129, 176)(131, 177)(134, 171)(135, 159)(139, 184)(142, 186)(143, 187)(144, 167)(146, 188)(147, 175)(149, 189)(151, 185)(153, 190)(156, 192)(157, 193)(160, 195)(162, 197)(165, 200)(170, 196)(173, 203)(174, 204)(178, 205)(179, 206)(180, 207)(181, 208)(182, 209)(183, 210)(191, 211)(194, 212)(198, 213)(199, 214)(201, 215)(202, 216)(217, 218, 221, 227, 226, 220)(219, 223, 231, 245, 234, 224)(222, 229, 241, 262, 244, 230)(225, 235, 251, 277, 253, 236)(228, 239, 258, 289, 261, 240)(232, 247, 270, 308, 272, 248)(233, 249, 273, 298, 264, 242)(237, 254, 282, 323, 284, 255)(238, 256, 285, 325, 288, 257)(243, 265, 299, 333, 291, 259)(246, 268, 290, 331, 307, 269)(250, 275, 293, 336, 316, 276)(252, 279, 319, 365, 321, 280)(260, 292, 334, 372, 327, 286)(263, 295, 326, 318, 278, 296)(266, 301, 329, 322, 281, 302)(267, 303, 347, 370, 350, 304)(271, 310, 356, 396, 351, 305)(274, 313, 360, 390, 343, 314)(283, 287, 328, 373, 369, 324)(294, 337, 383, 368, 386, 338)(297, 341, 311, 358, 387, 339)(300, 344, 391, 415, 380, 345)(306, 352, 397, 408, 394, 348)(309, 354, 393, 359, 312, 355)(315, 349, 395, 409, 381, 335)(317, 362, 376, 330, 375, 363)(320, 367, 406, 417, 384, 340)(332, 378, 342, 389, 412, 377)(346, 385, 418, 405, 410, 374)(353, 398, 366, 382, 411, 399)(357, 388, 413, 427, 424, 401)(361, 392, 416, 428, 425, 400)(364, 371, 407, 379, 414, 404)(402, 426, 429, 420, 431, 422)(403, 421, 430, 423, 432, 419)
	L = (1, 217)(2, 218)(3, 219)(4, 220)(5, 221)(6, 222)(7, 223)(8, 224)(9, 225)(10, 226)(11, 227)(12, 228)(13, 229)(14, 230)(15, 231)(16, 232)(17, 233)(18, 234)(19, 235)(20, 236)(21, 237)(22, 238)(23, 239)(24, 240)(25, 241)(26, 242)(27, 243)(28, 244)(29, 245)(30, 246)(31, 247)(32, 248)(33, 249)(34, 250)(35, 251)(36, 252)(37, 253)(38, 254)(39, 255)(40, 256)(41, 257)(42, 258)(43, 259)(44, 260)(45, 261)(46, 262)(47, 263)(48, 264)(49, 265)(50, 266)(51, 267)(52, 268)(53, 269)(54, 270)(55, 271)(56, 272)(57, 273)(58, 274)(59, 275)(60, 276)(61, 277)(62, 278)(63, 279)(64, 280)(65, 281)(66, 282)(67, 283)(68, 284)(69, 285)(70, 286)(71, 287)(72, 288)(73, 289)(74, 290)(75, 291)(76, 292)(77, 293)(78, 294)(79, 295)(80, 296)(81, 297)(82, 298)(83, 299)(84, 300)(85, 301)(86, 302)(87, 303)(88, 304)(89, 305)(90, 306)(91, 307)(92, 308)(93, 309)(94, 310)(95, 311)(96, 312)(97, 313)(98, 314)(99, 315)(100, 316)(101, 317)(102, 318)(103, 319)(104, 320)(105, 321)(106, 322)(107, 323)(108, 324)(109, 325)(110, 326)(111, 327)(112, 328)(113, 329)(114, 330)(115, 331)(116, 332)(117, 333)(118, 334)(119, 335)(120, 336)(121, 337)(122, 338)(123, 339)(124, 340)(125, 341)(126, 342)(127, 343)(128, 344)(129, 345)(130, 346)(131, 347)(132, 348)(133, 349)(134, 350)(135, 351)(136, 352)(137, 353)(138, 354)(139, 355)(140, 356)(141, 357)(142, 358)(143, 359)(144, 360)(145, 361)(146, 362)(147, 363)(148, 364)(149, 365)(150, 366)(151, 367)(152, 368)(153, 369)(154, 370)(155, 371)(156, 372)(157, 373)(158, 374)(159, 375)(160, 376)(161, 377)(162, 378)(163, 379)(164, 380)(165, 381)(166, 382)(167, 383)(168, 384)(169, 385)(170, 386)(171, 387)(172, 388)(173, 389)(174, 390)(175, 391)(176, 392)(177, 393)(178, 394)(179, 395)(180, 396)(181, 397)(182, 398)(183, 399)(184, 400)(185, 401)(186, 402)(187, 403)(188, 404)(189, 405)(190, 406)(191, 407)(192, 408)(193, 409)(194, 410)(195, 411)(196, 412)(197, 413)(198, 414)(199, 415)(200, 416)(201, 417)(202, 418)(203, 419)(204, 420)(205, 421)(206, 422)(207, 423)(208, 424)(209, 425)(210, 426)(211, 427)(212, 428)(213, 429)(214, 430)(215, 431)(216, 432)
	local type(s) :: { ( 8, 8 ), ( 8^6 ) }
Outer automorphisms :: reflexible
Dual of E10.928
Transitivity :: ET+
Graph:: simple bipartite
	v = 144 e = 216 f = 54
	degree seq :: [ 2^108, 6^36 ]

E10.928 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 4, 6})
Quotient :: loop
Aut^+ = (C3 x S3 x S3) : C2 (small group id <216, 158>)
Aut   = $<432, 741>$ (small group id <432, 741>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T1)^2, (F * T2)^2, T2^4, (T2^-1 * T1)^6, T1 * T2^-2 * T1 * T2 * T1 * T2^-1 * T1 * T2^-2 * T1 * T2^-1 * T1 * T2 ]
Map::
	R = (1, 217, 3, 219, 8, 224, 4, 220)(2, 218, 5, 221, 11, 227, 6, 222)(7, 223, 13, 229, 24, 240, 14, 230)(9, 225, 16, 232, 29, 245, 17, 233)(10, 226, 18, 234, 32, 248, 19, 235)(12, 228, 21, 237, 37, 253, 22, 238)(15, 231, 26, 242, 45, 261, 27, 243)(20, 236, 34, 250, 58, 274, 35, 251)(23, 239, 39, 255, 65, 281, 40, 256)(25, 241, 42, 258, 70, 286, 43, 259)(28, 244, 47, 263, 78, 294, 48, 264)(30, 246, 50, 266, 83, 299, 51, 267)(31, 247, 52, 268, 84, 300, 53, 269)(33, 249, 55, 271, 89, 305, 56, 272)(36, 252, 60, 276, 97, 313, 61, 277)(38, 254, 63, 279, 102, 318, 64, 280)(41, 257, 67, 283, 106, 322, 68, 284)(44, 260, 72, 288, 112, 328, 73, 289)(46, 262, 75, 291, 115, 331, 76, 292)(49, 265, 80, 296, 119, 335, 81, 297)(54, 270, 86, 302, 124, 340, 87, 303)(57, 273, 91, 307, 130, 346, 92, 308)(59, 275, 94, 310, 133, 349, 95, 311)(62, 278, 99, 315, 137, 353, 100, 316)(66, 282, 104, 320, 82, 298, 105, 321)(69, 285, 108, 324, 79, 295, 109, 325)(71, 287, 110, 326, 149, 365, 111, 327)(74, 290, 113, 329, 151, 367, 114, 330)(77, 293, 116, 332, 153, 369, 117, 333)(85, 301, 122, 338, 101, 317, 123, 339)(88, 304, 126, 342, 98, 314, 127, 343)(90, 306, 128, 344, 168, 384, 129, 345)(93, 309, 131, 347, 170, 386, 132, 348)(96, 312, 134, 350, 172, 388, 135, 351)(103, 319, 139, 355, 173, 389, 140, 356)(107, 323, 144, 360, 181, 397, 145, 361)(118, 334, 155, 371, 185, 401, 150, 366)(120, 336, 157, 373, 167, 383, 152, 368)(121, 337, 158, 374, 154, 370, 159, 375)(125, 341, 163, 379, 192, 408, 164, 380)(136, 352, 174, 390, 196, 412, 169, 385)(138, 354, 176, 392, 148, 364, 171, 387)(141, 357, 178, 394, 147, 363, 179, 395)(142, 358, 175, 391, 191, 407, 162, 378)(143, 359, 161, 377, 156, 372, 180, 396)(146, 362, 182, 398, 204, 420, 183, 399)(160, 376, 189, 405, 166, 382, 190, 406)(165, 381, 193, 409, 213, 429, 194, 410)(177, 393, 199, 415, 210, 426, 200, 416)(184, 400, 205, 421, 186, 402, 203, 419)(187, 403, 207, 423, 211, 427, 206, 422)(188, 404, 208, 424, 201, 417, 209, 425)(195, 411, 214, 430, 197, 413, 212, 428)(198, 414, 216, 432, 202, 418, 215, 431)
	L = (1, 218)(2, 217)(3, 223)(4, 225)(5, 226)(6, 228)(7, 219)(8, 231)(9, 220)(10, 221)(11, 236)(12, 222)(13, 239)(14, 241)(15, 224)(16, 244)(17, 246)(18, 247)(19, 249)(20, 227)(21, 252)(22, 254)(23, 229)(24, 257)(25, 230)(26, 260)(27, 262)(28, 232)(29, 265)(30, 233)(31, 234)(32, 270)(33, 235)(34, 273)(35, 275)(36, 237)(37, 278)(38, 238)(39, 280)(40, 282)(41, 240)(42, 285)(43, 287)(44, 242)(45, 290)(46, 243)(47, 293)(48, 295)(49, 245)(50, 298)(51, 268)(52, 267)(53, 301)(54, 248)(55, 304)(56, 306)(57, 250)(58, 309)(59, 251)(60, 312)(61, 314)(62, 253)(63, 317)(64, 255)(65, 319)(66, 256)(67, 302)(68, 323)(69, 258)(70, 310)(71, 259)(72, 327)(73, 313)(74, 261)(75, 305)(76, 332)(77, 263)(78, 308)(79, 264)(80, 334)(81, 316)(82, 266)(83, 336)(84, 337)(85, 269)(86, 283)(87, 341)(88, 271)(89, 291)(90, 272)(91, 345)(92, 294)(93, 274)(94, 286)(95, 350)(96, 276)(97, 289)(98, 277)(99, 352)(100, 297)(101, 279)(102, 354)(103, 281)(104, 357)(105, 358)(106, 359)(107, 284)(108, 362)(109, 363)(110, 364)(111, 288)(112, 366)(113, 355)(114, 368)(115, 360)(116, 292)(117, 370)(118, 296)(119, 372)(120, 299)(121, 300)(122, 376)(123, 377)(124, 378)(125, 303)(126, 381)(127, 382)(128, 383)(129, 307)(130, 385)(131, 374)(132, 387)(133, 379)(134, 311)(135, 389)(136, 315)(137, 391)(138, 318)(139, 329)(140, 393)(141, 320)(142, 321)(143, 322)(144, 331)(145, 398)(146, 324)(147, 325)(148, 326)(149, 400)(150, 328)(151, 386)(152, 330)(153, 402)(154, 333)(155, 399)(156, 335)(157, 403)(158, 347)(159, 404)(160, 338)(161, 339)(162, 340)(163, 349)(164, 409)(165, 342)(166, 343)(167, 344)(168, 411)(169, 346)(170, 367)(171, 348)(172, 413)(173, 351)(174, 410)(175, 353)(176, 414)(177, 356)(178, 417)(179, 418)(180, 419)(181, 415)(182, 361)(183, 371)(184, 365)(185, 422)(186, 369)(187, 373)(188, 375)(189, 426)(190, 427)(191, 428)(192, 424)(193, 380)(194, 390)(195, 384)(196, 431)(197, 388)(198, 392)(199, 397)(200, 425)(201, 394)(202, 395)(203, 396)(204, 430)(205, 429)(206, 401)(207, 432)(208, 408)(209, 416)(210, 405)(211, 406)(212, 407)(213, 421)(214, 420)(215, 412)(216, 423)
	local type(s) :: { ( 2, 6, 2, 6, 2, 6, 2, 6 ) }
Outer automorphisms :: reflexible
Dual of E10.927
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 54 e = 216 f = 144
	degree seq :: [ 8^54 ]

E10.929 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 4, 6})
Quotient :: loop
Aut^+ = (C3 x S3 x S3) : C2 (small group id <216, 158>)
Aut   = $<432, 741>$ (small group id <432, 741>)
|r| :: 2
Presentation :: [ F^2, (T2^-1 * T1^-1)^2, (F * T2)^2, (F * T1)^2, T1^4, T2^6, T2^2 * T1^-1 * T2 * T1^-1 * T2^-2 * T1 * T2^-1 * T1, (T2^-1 * T1 * T2^-1)^4, T2^-3 * T1 * T2^-3 * T1^-1 * T2^2 * T1^-1 * T2^2 * T1^-1 ]
Map::
	R = (1, 217, 3, 219, 10, 226, 24, 240, 14, 230, 5, 221)(2, 218, 7, 223, 17, 233, 37, 253, 20, 236, 8, 224)(4, 220, 12, 228, 27, 243, 46, 262, 22, 238, 9, 225)(6, 222, 15, 231, 32, 248, 63, 279, 35, 251, 16, 232)(11, 227, 26, 242, 52, 268, 90, 306, 48, 264, 23, 239)(13, 229, 29, 245, 57, 273, 102, 318, 60, 276, 30, 246)(18, 234, 39, 255, 74, 290, 120, 336, 70, 286, 36, 252)(19, 235, 40, 256, 76, 292, 127, 343, 79, 295, 41, 257)(21, 237, 43, 259, 81, 297, 132, 348, 84, 300, 44, 260)(25, 241, 51, 267, 94, 310, 145, 361, 92, 308, 49, 265)(28, 244, 56, 272, 95, 311, 146, 362, 99, 315, 54, 270)(31, 247, 50, 266, 93, 309, 129, 345, 78, 294, 61, 277)(33, 249, 65, 281, 111, 327, 155, 371, 107, 323, 62, 278)(34, 250, 66, 282, 113, 329, 162, 378, 116, 332, 67, 283)(38, 254, 73, 289, 53, 269, 97, 313, 122, 338, 71, 287)(42, 258, 72, 288, 123, 339, 164, 380, 115, 331, 80, 296)(45, 261, 85, 301, 136, 352, 104, 320, 59, 275, 86, 302)(47, 263, 88, 304, 139, 355, 181, 397, 141, 357, 89, 305)(55, 271, 100, 316, 112, 328, 160, 376, 138, 354, 87, 303)(58, 274, 103, 319, 152, 368, 189, 405, 150, 366, 101, 317)(64, 280, 110, 326, 75, 291, 125, 341, 157, 373, 108, 324)(68, 284, 109, 325, 158, 374, 134, 350, 83, 299, 117, 333)(69, 285, 118, 334, 166, 382, 200, 416, 167, 383, 119, 335)(77, 293, 128, 344, 174, 390, 205, 421, 172, 388, 126, 342)(82, 298, 133, 349, 177, 393, 207, 423, 175, 391, 131, 347)(91, 307, 143, 359, 185, 401, 206, 422, 186, 402, 144, 360)(96, 312, 147, 363, 105, 321, 151, 367, 184, 400, 142, 358)(98, 314, 148, 364, 187, 403, 211, 427, 188, 404, 149, 365)(106, 322, 153, 369, 191, 407, 212, 428, 192, 408, 154, 370)(114, 330, 163, 379, 199, 415, 216, 432, 197, 413, 161, 377)(121, 337, 169, 385, 203, 419, 183, 399, 204, 420, 170, 386)(124, 340, 171, 387, 130, 346, 173, 389, 202, 418, 168, 384)(135, 351, 176, 392, 208, 424, 182, 398, 140, 356, 178, 394)(137, 353, 180, 396, 210, 426, 190, 406, 209, 425, 179, 395)(156, 372, 194, 410, 214, 430, 201, 417, 215, 431, 195, 411)(159, 375, 196, 412, 165, 381, 198, 414, 213, 429, 193, 409)
	L = (1, 218)(2, 222)(3, 225)(4, 217)(5, 229)(6, 220)(7, 221)(8, 235)(9, 237)(10, 239)(11, 219)(12, 232)(13, 234)(14, 247)(15, 224)(16, 250)(17, 252)(18, 223)(19, 249)(20, 258)(21, 227)(22, 261)(23, 263)(24, 265)(25, 226)(26, 260)(27, 270)(28, 228)(29, 230)(30, 275)(31, 274)(32, 278)(33, 231)(34, 244)(35, 284)(36, 285)(37, 287)(38, 233)(39, 246)(40, 236)(41, 294)(42, 293)(43, 238)(44, 299)(45, 298)(46, 303)(47, 241)(48, 292)(49, 307)(50, 240)(51, 305)(52, 289)(53, 242)(54, 314)(55, 243)(56, 283)(57, 317)(58, 245)(59, 291)(60, 321)(61, 295)(62, 322)(63, 324)(64, 248)(65, 257)(66, 251)(67, 331)(68, 330)(69, 254)(70, 329)(71, 337)(72, 253)(73, 335)(74, 326)(75, 255)(76, 342)(77, 256)(78, 328)(79, 346)(80, 332)(81, 347)(82, 259)(83, 269)(84, 351)(85, 262)(86, 276)(87, 353)(88, 264)(89, 356)(90, 358)(91, 266)(92, 352)(93, 360)(94, 272)(95, 267)(96, 268)(97, 350)(98, 271)(99, 273)(100, 365)(101, 364)(102, 362)(103, 277)(104, 361)(105, 349)(106, 280)(107, 297)(108, 372)(109, 279)(110, 370)(111, 316)(112, 281)(113, 377)(114, 282)(115, 310)(116, 381)(117, 300)(118, 286)(119, 312)(120, 384)(121, 288)(122, 309)(123, 386)(124, 290)(125, 320)(126, 304)(127, 306)(128, 296)(129, 313)(130, 319)(131, 369)(132, 371)(133, 302)(134, 376)(135, 379)(136, 395)(137, 301)(138, 374)(139, 388)(140, 311)(141, 399)(142, 389)(143, 308)(144, 385)(145, 380)(146, 398)(147, 383)(148, 315)(149, 375)(150, 382)(151, 318)(152, 387)(153, 323)(154, 340)(155, 409)(156, 325)(157, 339)(158, 411)(159, 327)(160, 345)(161, 334)(162, 336)(163, 333)(164, 341)(165, 344)(166, 413)(167, 417)(168, 414)(169, 338)(170, 410)(171, 408)(172, 407)(173, 343)(174, 412)(175, 355)(176, 348)(177, 363)(178, 357)(179, 359)(180, 354)(181, 423)(182, 367)(183, 415)(184, 424)(185, 425)(186, 427)(187, 366)(188, 422)(189, 426)(190, 368)(191, 391)(192, 406)(193, 392)(194, 373)(195, 396)(196, 404)(197, 403)(198, 378)(199, 394)(200, 405)(201, 393)(202, 400)(203, 402)(204, 397)(205, 401)(206, 390)(207, 430)(208, 429)(209, 428)(210, 431)(211, 432)(212, 421)(213, 418)(214, 420)(215, 416)(216, 419)
	local type(s) :: { ( 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4 ) }
Outer automorphisms :: reflexible
Dual of E10.925
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 36 e = 216 f = 162
	degree seq :: [ 12^36 ]

E10.930 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 4, 6})
Quotient :: loop
Aut^+ = (C3 x S3 x S3) : C2 (small group id <216, 158>)
Aut   = $<432, 741>$ (small group id <432, 741>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T1^6, (T2 * T1^-1)^4, T1^-1 * T2 * T1^2 * T2 * T1^2 * T2 * T1^-2 * T2 * T1^-1, (T1^-1 * T2 * T1^-2)^4 ]
Map:: polyhedral non-degenerate
	R = (1, 217, 3, 219)(2, 218, 6, 222)(4, 220, 9, 225)(5, 221, 12, 228)(7, 223, 16, 232)(8, 224, 17, 233)(10, 226, 21, 237)(11, 227, 22, 238)(13, 229, 26, 242)(14, 230, 27, 243)(15, 231, 30, 246)(18, 234, 34, 250)(19, 235, 36, 252)(20, 236, 31, 247)(23, 239, 43, 259)(24, 240, 44, 260)(25, 241, 47, 263)(28, 244, 50, 266)(29, 245, 51, 267)(32, 248, 55, 271)(33, 249, 58, 274)(35, 251, 62, 278)(37, 253, 65, 281)(38, 254, 67, 283)(39, 255, 63, 279)(40, 256, 70, 286)(41, 257, 71, 287)(42, 258, 74, 290)(45, 261, 77, 293)(46, 262, 78, 294)(48, 264, 81, 297)(49, 265, 84, 300)(52, 268, 89, 305)(53, 269, 90, 306)(54, 270, 93, 309)(56, 272, 95, 311)(57, 273, 96, 312)(59, 275, 99, 315)(60, 276, 97, 313)(61, 277, 101, 317)(64, 280, 104, 320)(66, 282, 91, 307)(68, 284, 100, 316)(69, 285, 110, 326)(72, 288, 113, 329)(73, 289, 114, 330)(75, 291, 116, 332)(76, 292, 119, 335)(79, 295, 123, 339)(80, 296, 124, 340)(82, 298, 126, 342)(83, 299, 127, 343)(85, 301, 130, 346)(86, 302, 128, 344)(87, 303, 132, 348)(88, 304, 133, 349)(92, 308, 137, 353)(94, 310, 141, 357)(98, 314, 145, 361)(102, 318, 148, 364)(103, 319, 150, 366)(105, 321, 140, 356)(106, 322, 138, 354)(107, 323, 152, 368)(108, 324, 136, 352)(109, 325, 154, 370)(111, 327, 155, 371)(112, 328, 158, 374)(115, 331, 161, 377)(117, 333, 163, 379)(118, 334, 164, 380)(120, 336, 166, 382)(121, 337, 168, 384)(122, 338, 169, 385)(125, 341, 172, 388)(129, 345, 176, 392)(131, 347, 177, 393)(134, 350, 171, 387)(135, 351, 159, 375)(139, 355, 184, 400)(142, 358, 186, 402)(143, 359, 187, 403)(144, 360, 167, 383)(146, 362, 188, 404)(147, 363, 175, 391)(149, 365, 189, 405)(151, 367, 185, 401)(153, 369, 190, 406)(156, 372, 192, 408)(157, 373, 193, 409)(160, 376, 195, 411)(162, 378, 197, 413)(165, 381, 200, 416)(170, 386, 196, 412)(173, 389, 203, 419)(174, 390, 204, 420)(178, 394, 205, 421)(179, 395, 206, 422)(180, 396, 207, 423)(181, 397, 208, 424)(182, 398, 209, 425)(183, 399, 210, 426)(191, 407, 211, 427)(194, 410, 212, 428)(198, 414, 213, 429)(199, 415, 214, 430)(201, 417, 215, 431)(202, 418, 216, 432)
	L = (1, 218)(2, 221)(3, 223)(4, 217)(5, 227)(6, 229)(7, 231)(8, 219)(9, 235)(10, 220)(11, 226)(12, 239)(13, 241)(14, 222)(15, 245)(16, 247)(17, 249)(18, 224)(19, 251)(20, 225)(21, 254)(22, 256)(23, 258)(24, 228)(25, 262)(26, 233)(27, 265)(28, 230)(29, 234)(30, 268)(31, 270)(32, 232)(33, 273)(34, 275)(35, 277)(36, 279)(37, 236)(38, 282)(39, 237)(40, 285)(41, 238)(42, 289)(43, 243)(44, 292)(45, 240)(46, 244)(47, 295)(48, 242)(49, 299)(50, 301)(51, 303)(52, 290)(53, 246)(54, 308)(55, 310)(56, 248)(57, 298)(58, 313)(59, 293)(60, 250)(61, 253)(62, 296)(63, 319)(64, 252)(65, 302)(66, 323)(67, 287)(68, 255)(69, 325)(70, 260)(71, 328)(72, 257)(73, 261)(74, 331)(75, 259)(76, 334)(77, 336)(78, 337)(79, 326)(80, 263)(81, 341)(82, 264)(83, 333)(84, 344)(85, 329)(86, 266)(87, 347)(88, 267)(89, 271)(90, 352)(91, 269)(92, 272)(93, 354)(94, 356)(95, 358)(96, 355)(97, 360)(98, 274)(99, 349)(100, 276)(101, 362)(102, 278)(103, 365)(104, 367)(105, 280)(106, 281)(107, 284)(108, 283)(109, 288)(110, 318)(111, 286)(112, 373)(113, 322)(114, 375)(115, 307)(116, 378)(117, 291)(118, 372)(119, 315)(120, 316)(121, 383)(122, 294)(123, 297)(124, 320)(125, 311)(126, 389)(127, 314)(128, 391)(129, 300)(130, 385)(131, 370)(132, 306)(133, 395)(134, 304)(135, 305)(136, 397)(137, 398)(138, 393)(139, 309)(140, 396)(141, 388)(142, 387)(143, 312)(144, 390)(145, 392)(146, 376)(147, 317)(148, 371)(149, 321)(150, 382)(151, 406)(152, 386)(153, 324)(154, 350)(155, 407)(156, 327)(157, 369)(158, 346)(159, 363)(160, 330)(161, 332)(162, 342)(163, 414)(164, 345)(165, 335)(166, 411)(167, 368)(168, 340)(169, 418)(170, 338)(171, 339)(172, 413)(173, 412)(174, 343)(175, 415)(176, 416)(177, 359)(178, 348)(179, 409)(180, 351)(181, 408)(182, 366)(183, 353)(184, 361)(185, 357)(186, 426)(187, 421)(188, 364)(189, 410)(190, 417)(191, 379)(192, 394)(193, 381)(194, 374)(195, 399)(196, 377)(197, 427)(198, 404)(199, 380)(200, 428)(201, 384)(202, 405)(203, 403)(204, 431)(205, 430)(206, 402)(207, 432)(208, 401)(209, 400)(210, 429)(211, 424)(212, 425)(213, 420)(214, 423)(215, 422)(216, 419)
	local type(s) :: { ( 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible
Dual of E10.926
Transitivity :: ET+ VT+ AT
Graph:: simple bipartite
	v = 108 e = 216 f = 90
	degree seq :: [ 4^108 ]

E10.931 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 6})
Quotient :: dipole
Aut^+ = (C3 x S3 x S3) : C2 (small group id <216, 158>)
Aut   = $<432, 741>$ (small group id <432, 741>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, (R * Y3)^2, (R * Y1)^2, Y2^4, (R * Y2 * Y3^-1)^2, (Y3 * Y2^-1)^6, Y1 * Y2^-2 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2^-2 * Y1 * Y2^-1 * Y1 * Y2 ]
Map::
	R = (1, 217, 2, 218)(3, 219, 7, 223)(4, 220, 9, 225)(5, 221, 10, 226)(6, 222, 12, 228)(8, 224, 15, 231)(11, 227, 20, 236)(13, 229, 23, 239)(14, 230, 25, 241)(16, 232, 28, 244)(17, 233, 30, 246)(18, 234, 31, 247)(19, 235, 33, 249)(21, 237, 36, 252)(22, 238, 38, 254)(24, 240, 41, 257)(26, 242, 44, 260)(27, 243, 46, 262)(29, 245, 49, 265)(32, 248, 54, 270)(34, 250, 57, 273)(35, 251, 59, 275)(37, 253, 62, 278)(39, 255, 64, 280)(40, 256, 66, 282)(42, 258, 69, 285)(43, 259, 71, 287)(45, 261, 74, 290)(47, 263, 77, 293)(48, 264, 79, 295)(50, 266, 82, 298)(51, 267, 52, 268)(53, 269, 85, 301)(55, 271, 88, 304)(56, 272, 90, 306)(58, 274, 93, 309)(60, 276, 96, 312)(61, 277, 98, 314)(63, 279, 101, 317)(65, 281, 103, 319)(67, 283, 86, 302)(68, 284, 107, 323)(70, 286, 94, 310)(72, 288, 111, 327)(73, 289, 97, 313)(75, 291, 89, 305)(76, 292, 116, 332)(78, 294, 92, 308)(80, 296, 118, 334)(81, 297, 100, 316)(83, 299, 120, 336)(84, 300, 121, 337)(87, 303, 125, 341)(91, 307, 129, 345)(95, 311, 134, 350)(99, 315, 136, 352)(102, 318, 138, 354)(104, 320, 141, 357)(105, 321, 142, 358)(106, 322, 143, 359)(108, 324, 146, 362)(109, 325, 147, 363)(110, 326, 148, 364)(112, 328, 150, 366)(113, 329, 139, 355)(114, 330, 152, 368)(115, 331, 144, 360)(117, 333, 154, 370)(119, 335, 156, 372)(122, 338, 160, 376)(123, 339, 161, 377)(124, 340, 162, 378)(126, 342, 165, 381)(127, 343, 166, 382)(128, 344, 167, 383)(130, 346, 169, 385)(131, 347, 158, 374)(132, 348, 171, 387)(133, 349, 163, 379)(135, 351, 173, 389)(137, 353, 175, 391)(140, 356, 177, 393)(145, 361, 182, 398)(149, 365, 184, 400)(151, 367, 170, 386)(153, 369, 186, 402)(155, 371, 183, 399)(157, 373, 187, 403)(159, 375, 188, 404)(164, 380, 193, 409)(168, 384, 195, 411)(172, 388, 197, 413)(174, 390, 194, 410)(176, 392, 198, 414)(178, 394, 201, 417)(179, 395, 202, 418)(180, 396, 203, 419)(181, 397, 199, 415)(185, 401, 206, 422)(189, 405, 210, 426)(190, 406, 211, 427)(191, 407, 212, 428)(192, 408, 208, 424)(196, 412, 215, 431)(200, 416, 209, 425)(204, 420, 214, 430)(205, 421, 213, 429)(207, 423, 216, 432)(433, 649, 435, 651, 440, 656, 436, 652)(434, 650, 437, 653, 443, 659, 438, 654)(439, 655, 445, 661, 456, 672, 446, 662)(441, 657, 448, 664, 461, 677, 449, 665)(442, 658, 450, 666, 464, 680, 451, 667)(444, 660, 453, 669, 469, 685, 454, 670)(447, 663, 458, 674, 477, 693, 459, 675)(452, 668, 466, 682, 490, 706, 467, 683)(455, 671, 471, 687, 497, 713, 472, 688)(457, 673, 474, 690, 502, 718, 475, 691)(460, 676, 479, 695, 510, 726, 480, 696)(462, 678, 482, 698, 515, 731, 483, 699)(463, 679, 484, 700, 516, 732, 485, 701)(465, 681, 487, 703, 521, 737, 488, 704)(468, 684, 492, 708, 529, 745, 493, 709)(470, 686, 495, 711, 534, 750, 496, 712)(473, 689, 499, 715, 538, 754, 500, 716)(476, 692, 504, 720, 544, 760, 505, 721)(478, 694, 507, 723, 547, 763, 508, 724)(481, 697, 512, 728, 551, 767, 513, 729)(486, 702, 518, 734, 556, 772, 519, 735)(489, 705, 523, 739, 562, 778, 524, 740)(491, 707, 526, 742, 565, 781, 527, 743)(494, 710, 531, 747, 569, 785, 532, 748)(498, 714, 536, 752, 514, 730, 537, 753)(501, 717, 540, 756, 511, 727, 541, 757)(503, 719, 542, 758, 581, 797, 543, 759)(506, 722, 545, 761, 583, 799, 546, 762)(509, 725, 548, 764, 585, 801, 549, 765)(517, 733, 554, 770, 533, 749, 555, 771)(520, 736, 558, 774, 530, 746, 559, 775)(522, 738, 560, 776, 600, 816, 561, 777)(525, 741, 563, 779, 602, 818, 564, 780)(528, 744, 566, 782, 604, 820, 567, 783)(535, 751, 571, 787, 605, 821, 572, 788)(539, 755, 576, 792, 613, 829, 577, 793)(550, 766, 587, 803, 617, 833, 582, 798)(552, 768, 589, 805, 599, 815, 584, 800)(553, 769, 590, 806, 586, 802, 591, 807)(557, 773, 595, 811, 624, 840, 596, 812)(568, 784, 606, 822, 628, 844, 601, 817)(570, 786, 608, 824, 580, 796, 603, 819)(573, 789, 610, 826, 579, 795, 611, 827)(574, 790, 607, 823, 623, 839, 594, 810)(575, 791, 593, 809, 588, 804, 612, 828)(578, 794, 614, 830, 636, 852, 615, 831)(592, 808, 621, 837, 598, 814, 622, 838)(597, 813, 625, 841, 645, 861, 626, 842)(609, 825, 631, 847, 642, 858, 632, 848)(616, 832, 637, 853, 618, 834, 635, 851)(619, 835, 639, 855, 643, 859, 638, 854)(620, 836, 640, 856, 633, 849, 641, 857)(627, 843, 646, 862, 629, 845, 644, 860)(630, 846, 648, 864, 634, 850, 647, 863)
	L = (1, 434)(2, 433)(3, 439)(4, 441)(5, 442)(6, 444)(7, 435)(8, 447)(9, 436)(10, 437)(11, 452)(12, 438)(13, 455)(14, 457)(15, 440)(16, 460)(17, 462)(18, 463)(19, 465)(20, 443)(21, 468)(22, 470)(23, 445)(24, 473)(25, 446)(26, 476)(27, 478)(28, 448)(29, 481)(30, 449)(31, 450)(32, 486)(33, 451)(34, 489)(35, 491)(36, 453)(37, 494)(38, 454)(39, 496)(40, 498)(41, 456)(42, 501)(43, 503)(44, 458)(45, 506)(46, 459)(47, 509)(48, 511)(49, 461)(50, 514)(51, 484)(52, 483)(53, 517)(54, 464)(55, 520)(56, 522)(57, 466)(58, 525)(59, 467)(60, 528)(61, 530)(62, 469)(63, 533)(64, 471)(65, 535)(66, 472)(67, 518)(68, 539)(69, 474)(70, 526)(71, 475)(72, 543)(73, 529)(74, 477)(75, 521)(76, 548)(77, 479)(78, 524)(79, 480)(80, 550)(81, 532)(82, 482)(83, 552)(84, 553)(85, 485)(86, 499)(87, 557)(88, 487)(89, 507)(90, 488)(91, 561)(92, 510)(93, 490)(94, 502)(95, 566)(96, 492)(97, 505)(98, 493)(99, 568)(100, 513)(101, 495)(102, 570)(103, 497)(104, 573)(105, 574)(106, 575)(107, 500)(108, 578)(109, 579)(110, 580)(111, 504)(112, 582)(113, 571)(114, 584)(115, 576)(116, 508)(117, 586)(118, 512)(119, 588)(120, 515)(121, 516)(122, 592)(123, 593)(124, 594)(125, 519)(126, 597)(127, 598)(128, 599)(129, 523)(130, 601)(131, 590)(132, 603)(133, 595)(134, 527)(135, 605)(136, 531)(137, 607)(138, 534)(139, 545)(140, 609)(141, 536)(142, 537)(143, 538)(144, 547)(145, 614)(146, 540)(147, 541)(148, 542)(149, 616)(150, 544)(151, 602)(152, 546)(153, 618)(154, 549)(155, 615)(156, 551)(157, 619)(158, 563)(159, 620)(160, 554)(161, 555)(162, 556)(163, 565)(164, 625)(165, 558)(166, 559)(167, 560)(168, 627)(169, 562)(170, 583)(171, 564)(172, 629)(173, 567)(174, 626)(175, 569)(176, 630)(177, 572)(178, 633)(179, 634)(180, 635)(181, 631)(182, 577)(183, 587)(184, 581)(185, 638)(186, 585)(187, 589)(188, 591)(189, 642)(190, 643)(191, 644)(192, 640)(193, 596)(194, 606)(195, 600)(196, 647)(197, 604)(198, 608)(199, 613)(200, 641)(201, 610)(202, 611)(203, 612)(204, 646)(205, 645)(206, 617)(207, 648)(208, 624)(209, 632)(210, 621)(211, 622)(212, 623)(213, 637)(214, 636)(215, 628)(216, 639)(217, 649)(218, 650)(219, 651)(220, 652)(221, 653)(222, 654)(223, 655)(224, 656)(225, 657)(226, 658)(227, 659)(228, 660)(229, 661)(230, 662)(231, 663)(232, 664)(233, 665)(234, 666)(235, 667)(236, 668)(237, 669)(238, 670)(239, 671)(240, 672)(241, 673)(242, 674)(243, 675)(244, 676)(245, 677)(246, 678)(247, 679)(248, 680)(249, 681)(250, 682)(251, 683)(252, 684)(253, 685)(254, 686)(255, 687)(256, 688)(257, 689)(258, 690)(259, 691)(260, 692)(261, 693)(262, 694)(263, 695)(264, 696)(265, 697)(266, 698)(267, 699)(268, 700)(269, 701)(270, 702)(271, 703)(272, 704)(273, 705)(274, 706)(275, 707)(276, 708)(277, 709)(278, 710)(279, 711)(280, 712)(281, 713)(282, 714)(283, 715)(284, 716)(285, 717)(286, 718)(287, 719)(288, 720)(289, 721)(290, 722)(291, 723)(292, 724)(293, 725)(294, 726)(295, 727)(296, 728)(297, 729)(298, 730)(299, 731)(300, 732)(301, 733)(302, 734)(303, 735)(304, 736)(305, 737)(306, 738)(307, 739)(308, 740)(309, 741)(310, 742)(311, 743)(312, 744)(313, 745)(314, 746)(315, 747)(316, 748)(317, 749)(318, 750)(319, 751)(320, 752)(321, 753)(322, 754)(323, 755)(324, 756)(325, 757)(326, 758)(327, 759)(328, 760)(329, 761)(330, 762)(331, 763)(332, 764)(333, 765)(334, 766)(335, 767)(336, 768)(337, 769)(338, 770)(339, 771)(340, 772)(341, 773)(342, 774)(343, 775)(344, 776)(345, 777)(346, 778)(347, 779)(348, 780)(349, 781)(350, 782)(351, 783)(352, 784)(353, 785)(354, 786)(355, 787)(356, 788)(357, 789)(358, 790)(359, 791)(360, 792)(361, 793)(362, 794)(363, 795)(364, 796)(365, 797)(366, 798)(367, 799)(368, 800)(369, 801)(370, 802)(371, 803)(372, 804)(373, 805)(374, 806)(375, 807)(376, 808)(377, 809)(378, 810)(379, 811)(380, 812)(381, 813)(382, 814)(383, 815)(384, 816)(385, 817)(386, 818)(387, 819)(388, 820)(389, 821)(390, 822)(391, 823)(392, 824)(393, 825)(394, 826)(395, 827)(396, 828)(397, 829)(398, 830)(399, 831)(400, 832)(401, 833)(402, 834)(403, 835)(404, 836)(405, 837)(406, 838)(407, 839)(408, 840)(409, 841)(410, 842)(411, 843)(412, 844)(413, 845)(414, 846)(415, 847)(416, 848)(417, 849)(418, 850)(419, 851)(420, 852)(421, 853)(422, 854)(423, 855)(424, 856)(425, 857)(426, 858)(427, 859)(428, 860)(429, 861)(430, 862)(431, 863)(432, 864)
	local type(s) :: { ( 2, 12, 2, 12 ), ( 2, 12, 2, 12, 2, 12, 2, 12 ) }
Outer automorphisms :: reflexible
Dual of E10.934
Graph:: bipartite
	v = 162 e = 432 f = 252
	degree seq :: [ 4^108, 8^54 ]

E10.932 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 6})
Quotient :: dipole
Aut^+ = (C3 x S3 x S3) : C2 (small group id <216, 158>)
Aut   = $<432, 741>$ (small group id <432, 741>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, (R * Y1)^2, (Y2 * Y1)^2, (Y3^-1 * Y1^-1)^2, (R * Y3)^2, Y1^4, Y2^6, Y2^2 * Y1^-1 * Y2 * Y1^-1 * Y2^-2 * Y1 * Y2^-1 * Y1, (Y2^-1 * Y1 * Y2^-1)^4, Y2^-3 * Y1 * Y2^-3 * Y1^-1 * Y2^2 * Y1^-1 * Y2^2 * Y1^-1 ]
Map::
	R = (1, 217, 2, 218, 6, 222, 4, 220)(3, 219, 9, 225, 21, 237, 11, 227)(5, 221, 13, 229, 18, 234, 7, 223)(8, 224, 19, 235, 33, 249, 15, 231)(10, 226, 23, 239, 47, 263, 25, 241)(12, 228, 16, 232, 34, 250, 28, 244)(14, 230, 31, 247, 58, 274, 29, 245)(17, 233, 36, 252, 69, 285, 38, 254)(20, 236, 42, 258, 77, 293, 40, 256)(22, 238, 45, 261, 82, 298, 43, 259)(24, 240, 49, 265, 91, 307, 50, 266)(26, 242, 44, 260, 83, 299, 53, 269)(27, 243, 54, 270, 98, 314, 55, 271)(30, 246, 59, 275, 75, 291, 39, 255)(32, 248, 62, 278, 106, 322, 64, 280)(35, 251, 68, 284, 114, 330, 66, 282)(37, 253, 71, 287, 121, 337, 72, 288)(41, 257, 78, 294, 112, 328, 65, 281)(46, 262, 87, 303, 137, 353, 85, 301)(48, 264, 76, 292, 126, 342, 88, 304)(51, 267, 89, 305, 140, 356, 95, 311)(52, 268, 73, 289, 119, 335, 96, 312)(56, 272, 67, 283, 115, 331, 94, 310)(57, 273, 101, 317, 148, 364, 99, 315)(60, 276, 105, 321, 133, 349, 86, 302)(61, 277, 79, 295, 130, 346, 103, 319)(63, 279, 108, 324, 156, 372, 109, 325)(70, 286, 113, 329, 161, 377, 118, 334)(74, 290, 110, 326, 154, 370, 124, 340)(80, 296, 116, 332, 165, 381, 128, 344)(81, 297, 131, 347, 153, 369, 107, 323)(84, 300, 135, 351, 163, 379, 117, 333)(90, 306, 142, 358, 173, 389, 127, 343)(92, 308, 136, 352, 179, 395, 143, 359)(93, 309, 144, 360, 169, 385, 122, 338)(97, 313, 134, 350, 160, 376, 129, 345)(100, 316, 149, 365, 159, 375, 111, 327)(102, 318, 146, 362, 182, 398, 151, 367)(104, 320, 145, 361, 164, 380, 125, 341)(120, 336, 168, 384, 198, 414, 162, 378)(123, 339, 170, 386, 194, 410, 157, 373)(132, 348, 155, 371, 193, 409, 176, 392)(138, 354, 158, 374, 195, 411, 180, 396)(139, 355, 172, 388, 191, 407, 175, 391)(141, 357, 183, 399, 199, 415, 178, 394)(147, 363, 167, 383, 201, 417, 177, 393)(150, 366, 166, 382, 197, 413, 187, 403)(152, 368, 171, 387, 192, 408, 190, 406)(174, 390, 196, 412, 188, 404, 206, 422)(181, 397, 207, 423, 214, 430, 204, 420)(184, 400, 208, 424, 213, 429, 202, 418)(185, 401, 209, 425, 212, 428, 205, 421)(186, 402, 211, 427, 216, 432, 203, 419)(189, 405, 210, 426, 215, 431, 200, 416)(433, 649, 435, 651, 442, 658, 456, 672, 446, 662, 437, 653)(434, 650, 439, 655, 449, 665, 469, 685, 452, 668, 440, 656)(436, 652, 444, 660, 459, 675, 478, 694, 454, 670, 441, 657)(438, 654, 447, 663, 464, 680, 495, 711, 467, 683, 448, 664)(443, 659, 458, 674, 484, 700, 522, 738, 480, 696, 455, 671)(445, 661, 461, 677, 489, 705, 534, 750, 492, 708, 462, 678)(450, 666, 471, 687, 506, 722, 552, 768, 502, 718, 468, 684)(451, 667, 472, 688, 508, 724, 559, 775, 511, 727, 473, 689)(453, 669, 475, 691, 513, 729, 564, 780, 516, 732, 476, 692)(457, 673, 483, 699, 526, 742, 577, 793, 524, 740, 481, 697)(460, 676, 488, 704, 527, 743, 578, 794, 531, 747, 486, 702)(463, 679, 482, 698, 525, 741, 561, 777, 510, 726, 493, 709)(465, 681, 497, 713, 543, 759, 587, 803, 539, 755, 494, 710)(466, 682, 498, 714, 545, 761, 594, 810, 548, 764, 499, 715)(470, 686, 505, 721, 485, 701, 529, 745, 554, 770, 503, 719)(474, 690, 504, 720, 555, 771, 596, 812, 547, 763, 512, 728)(477, 693, 517, 733, 568, 784, 536, 752, 491, 707, 518, 734)(479, 695, 520, 736, 571, 787, 613, 829, 573, 789, 521, 737)(487, 703, 532, 748, 544, 760, 592, 808, 570, 786, 519, 735)(490, 706, 535, 751, 584, 800, 621, 837, 582, 798, 533, 749)(496, 712, 542, 758, 507, 723, 557, 773, 589, 805, 540, 756)(500, 716, 541, 757, 590, 806, 566, 782, 515, 731, 549, 765)(501, 717, 550, 766, 598, 814, 632, 848, 599, 815, 551, 767)(509, 725, 560, 776, 606, 822, 637, 853, 604, 820, 558, 774)(514, 730, 565, 781, 609, 825, 639, 855, 607, 823, 563, 779)(523, 739, 575, 791, 617, 833, 638, 854, 618, 834, 576, 792)(528, 744, 579, 795, 537, 753, 583, 799, 616, 832, 574, 790)(530, 746, 580, 796, 619, 835, 643, 859, 620, 836, 581, 797)(538, 754, 585, 801, 623, 839, 644, 860, 624, 840, 586, 802)(546, 762, 595, 811, 631, 847, 648, 864, 629, 845, 593, 809)(553, 769, 601, 817, 635, 851, 615, 831, 636, 852, 602, 818)(556, 772, 603, 819, 562, 778, 605, 821, 634, 850, 600, 816)(567, 783, 608, 824, 640, 856, 614, 830, 572, 788, 610, 826)(569, 785, 612, 828, 642, 858, 622, 838, 641, 857, 611, 827)(588, 804, 626, 842, 646, 862, 633, 849, 647, 863, 627, 843)(591, 807, 628, 844, 597, 813, 630, 846, 645, 861, 625, 841)
	L = (1, 435)(2, 439)(3, 442)(4, 444)(5, 433)(6, 447)(7, 449)(8, 434)(9, 436)(10, 456)(11, 458)(12, 459)(13, 461)(14, 437)(15, 464)(16, 438)(17, 469)(18, 471)(19, 472)(20, 440)(21, 475)(22, 441)(23, 443)(24, 446)(25, 483)(26, 484)(27, 478)(28, 488)(29, 489)(30, 445)(31, 482)(32, 495)(33, 497)(34, 498)(35, 448)(36, 450)(37, 452)(38, 505)(39, 506)(40, 508)(41, 451)(42, 504)(43, 513)(44, 453)(45, 517)(46, 454)(47, 520)(48, 455)(49, 457)(50, 525)(51, 526)(52, 522)(53, 529)(54, 460)(55, 532)(56, 527)(57, 534)(58, 535)(59, 518)(60, 462)(61, 463)(62, 465)(63, 467)(64, 542)(65, 543)(66, 545)(67, 466)(68, 541)(69, 550)(70, 468)(71, 470)(72, 555)(73, 485)(74, 552)(75, 557)(76, 559)(77, 560)(78, 493)(79, 473)(80, 474)(81, 564)(82, 565)(83, 549)(84, 476)(85, 568)(86, 477)(87, 487)(88, 571)(89, 479)(90, 480)(91, 575)(92, 481)(93, 561)(94, 577)(95, 578)(96, 579)(97, 554)(98, 580)(99, 486)(100, 544)(101, 490)(102, 492)(103, 584)(104, 491)(105, 583)(106, 585)(107, 494)(108, 496)(109, 590)(110, 507)(111, 587)(112, 592)(113, 594)(114, 595)(115, 512)(116, 499)(117, 500)(118, 598)(119, 501)(120, 502)(121, 601)(122, 503)(123, 596)(124, 603)(125, 589)(126, 509)(127, 511)(128, 606)(129, 510)(130, 605)(131, 514)(132, 516)(133, 609)(134, 515)(135, 608)(136, 536)(137, 612)(138, 519)(139, 613)(140, 610)(141, 521)(142, 528)(143, 617)(144, 523)(145, 524)(146, 531)(147, 537)(148, 619)(149, 530)(150, 533)(151, 616)(152, 621)(153, 623)(154, 538)(155, 539)(156, 626)(157, 540)(158, 566)(159, 628)(160, 570)(161, 546)(162, 548)(163, 631)(164, 547)(165, 630)(166, 632)(167, 551)(168, 556)(169, 635)(170, 553)(171, 562)(172, 558)(173, 634)(174, 637)(175, 563)(176, 640)(177, 639)(178, 567)(179, 569)(180, 642)(181, 573)(182, 572)(183, 636)(184, 574)(185, 638)(186, 576)(187, 643)(188, 581)(189, 582)(190, 641)(191, 644)(192, 586)(193, 591)(194, 646)(195, 588)(196, 597)(197, 593)(198, 645)(199, 648)(200, 599)(201, 647)(202, 600)(203, 615)(204, 602)(205, 604)(206, 618)(207, 607)(208, 614)(209, 611)(210, 622)(211, 620)(212, 624)(213, 625)(214, 633)(215, 627)(216, 629)(217, 649)(218, 650)(219, 651)(220, 652)(221, 653)(222, 654)(223, 655)(224, 656)(225, 657)(226, 658)(227, 659)(228, 660)(229, 661)(230, 662)(231, 663)(232, 664)(233, 665)(234, 666)(235, 667)(236, 668)(237, 669)(238, 670)(239, 671)(240, 672)(241, 673)(242, 674)(243, 675)(244, 676)(245, 677)(246, 678)(247, 679)(248, 680)(249, 681)(250, 682)(251, 683)(252, 684)(253, 685)(254, 686)(255, 687)(256, 688)(257, 689)(258, 690)(259, 691)(260, 692)(261, 693)(262, 694)(263, 695)(264, 696)(265, 697)(266, 698)(267, 699)(268, 700)(269, 701)(270, 702)(271, 703)(272, 704)(273, 705)(274, 706)(275, 707)(276, 708)(277, 709)(278, 710)(279, 711)(280, 712)(281, 713)(282, 714)(283, 715)(284, 716)(285, 717)(286, 718)(287, 719)(288, 720)(289, 721)(290, 722)(291, 723)(292, 724)(293, 725)(294, 726)(295, 727)(296, 728)(297, 729)(298, 730)(299, 731)(300, 732)(301, 733)(302, 734)(303, 735)(304, 736)(305, 737)(306, 738)(307, 739)(308, 740)(309, 741)(310, 742)(311, 743)(312, 744)(313, 745)(314, 746)(315, 747)(316, 748)(317, 749)(318, 750)(319, 751)(320, 752)(321, 753)(322, 754)(323, 755)(324, 756)(325, 757)(326, 758)(327, 759)(328, 760)(329, 761)(330, 762)(331, 763)(332, 764)(333, 765)(334, 766)(335, 767)(336, 768)(337, 769)(338, 770)(339, 771)(340, 772)(341, 773)(342, 774)(343, 775)(344, 776)(345, 777)(346, 778)(347, 779)(348, 780)(349, 781)(350, 782)(351, 783)(352, 784)(353, 785)(354, 786)(355, 787)(356, 788)(357, 789)(358, 790)(359, 791)(360, 792)(361, 793)(362, 794)(363, 795)(364, 796)(365, 797)(366, 798)(367, 799)(368, 800)(369, 801)(370, 802)(371, 803)(372, 804)(373, 805)(374, 806)(375, 807)(376, 808)(377, 809)(378, 810)(379, 811)(380, 812)(381, 813)(382, 814)(383, 815)(384, 816)(385, 817)(386, 818)(387, 819)(388, 820)(389, 821)(390, 822)(391, 823)(392, 824)(393, 825)(394, 826)(395, 827)(396, 828)(397, 829)(398, 830)(399, 831)(400, 832)(401, 833)(402, 834)(403, 835)(404, 836)(405, 837)(406, 838)(407, 839)(408, 840)(409, 841)(410, 842)(411, 843)(412, 844)(413, 845)(414, 846)(415, 847)(416, 848)(417, 849)(418, 850)(419, 851)(420, 852)(421, 853)(422, 854)(423, 855)(424, 856)(425, 857)(426, 858)(427, 859)(428, 860)(429, 861)(430, 862)(431, 863)(432, 864)
	local type(s) :: { ( 2, 4, 2, 4, 2, 4, 2, 4 ), ( 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4 ) }
Outer automorphisms :: reflexible
Dual of E10.933
Graph:: bipartite
	v = 90 e = 432 f = 324
	degree seq :: [ 8^54, 12^36 ]

E10.933 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 6})
Quotient :: dipole
Aut^+ = (C3 x S3 x S3) : C2 (small group id <216, 158>)
Aut   = $<432, 741>$ (small group id <432, 741>)
|r| :: 2
Presentation :: [ Y1, Y2^2, R^2, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y3^6, (Y3 * Y2)^4, (Y3^-1 * Y1^-1)^6, Y3^-1 * Y2 * Y3^-2 * Y2 * Y3^2 * Y2 * Y3^2 * Y2 * Y3^-1, Y3^-1 * Y2 * Y3^-3 * Y2 * Y3^-3 * Y2 * Y3^3 * Y2 * Y3^-2 ]
Map:: polytopal
	R = (1, 217)(2, 218)(3, 219)(4, 220)(5, 221)(6, 222)(7, 223)(8, 224)(9, 225)(10, 226)(11, 227)(12, 228)(13, 229)(14, 230)(15, 231)(16, 232)(17, 233)(18, 234)(19, 235)(20, 236)(21, 237)(22, 238)(23, 239)(24, 240)(25, 241)(26, 242)(27, 243)(28, 244)(29, 245)(30, 246)(31, 247)(32, 248)(33, 249)(34, 250)(35, 251)(36, 252)(37, 253)(38, 254)(39, 255)(40, 256)(41, 257)(42, 258)(43, 259)(44, 260)(45, 261)(46, 262)(47, 263)(48, 264)(49, 265)(50, 266)(51, 267)(52, 268)(53, 269)(54, 270)(55, 271)(56, 272)(57, 273)(58, 274)(59, 275)(60, 276)(61, 277)(62, 278)(63, 279)(64, 280)(65, 281)(66, 282)(67, 283)(68, 284)(69, 285)(70, 286)(71, 287)(72, 288)(73, 289)(74, 290)(75, 291)(76, 292)(77, 293)(78, 294)(79, 295)(80, 296)(81, 297)(82, 298)(83, 299)(84, 300)(85, 301)(86, 302)(87, 303)(88, 304)(89, 305)(90, 306)(91, 307)(92, 308)(93, 309)(94, 310)(95, 311)(96, 312)(97, 313)(98, 314)(99, 315)(100, 316)(101, 317)(102, 318)(103, 319)(104, 320)(105, 321)(106, 322)(107, 323)(108, 324)(109, 325)(110, 326)(111, 327)(112, 328)(113, 329)(114, 330)(115, 331)(116, 332)(117, 333)(118, 334)(119, 335)(120, 336)(121, 337)(122, 338)(123, 339)(124, 340)(125, 341)(126, 342)(127, 343)(128, 344)(129, 345)(130, 346)(131, 347)(132, 348)(133, 349)(134, 350)(135, 351)(136, 352)(137, 353)(138, 354)(139, 355)(140, 356)(141, 357)(142, 358)(143, 359)(144, 360)(145, 361)(146, 362)(147, 363)(148, 364)(149, 365)(150, 366)(151, 367)(152, 368)(153, 369)(154, 370)(155, 371)(156, 372)(157, 373)(158, 374)(159, 375)(160, 376)(161, 377)(162, 378)(163, 379)(164, 380)(165, 381)(166, 382)(167, 383)(168, 384)(169, 385)(170, 386)(171, 387)(172, 388)(173, 389)(174, 390)(175, 391)(176, 392)(177, 393)(178, 394)(179, 395)(180, 396)(181, 397)(182, 398)(183, 399)(184, 400)(185, 401)(186, 402)(187, 403)(188, 404)(189, 405)(190, 406)(191, 407)(192, 408)(193, 409)(194, 410)(195, 411)(196, 412)(197, 413)(198, 414)(199, 415)(200, 416)(201, 417)(202, 418)(203, 419)(204, 420)(205, 421)(206, 422)(207, 423)(208, 424)(209, 425)(210, 426)(211, 427)(212, 428)(213, 429)(214, 430)(215, 431)(216, 432)(433, 649, 434, 650)(435, 651, 439, 655)(436, 652, 441, 657)(437, 653, 443, 659)(438, 654, 445, 661)(440, 656, 449, 665)(442, 658, 453, 669)(444, 660, 456, 672)(446, 662, 460, 676)(447, 663, 459, 675)(448, 664, 462, 678)(450, 666, 466, 682)(451, 667, 467, 683)(452, 668, 454, 670)(455, 671, 473, 689)(457, 673, 477, 693)(458, 674, 478, 694)(461, 677, 483, 699)(463, 679, 487, 703)(464, 680, 486, 702)(465, 681, 489, 705)(468, 684, 495, 711)(469, 685, 497, 713)(470, 686, 498, 714)(471, 687, 493, 709)(472, 688, 501, 717)(474, 690, 505, 721)(475, 691, 504, 720)(476, 692, 507, 723)(479, 695, 513, 729)(480, 696, 515, 731)(481, 697, 516, 732)(482, 698, 511, 727)(484, 700, 521, 737)(485, 701, 522, 738)(488, 704, 506, 722)(490, 706, 517, 733)(491, 707, 529, 745)(492, 708, 531, 747)(494, 710, 534, 750)(496, 712, 537, 753)(499, 715, 508, 724)(500, 716, 518, 734)(502, 718, 543, 759)(503, 719, 544, 760)(509, 725, 551, 767)(510, 726, 553, 769)(512, 728, 556, 772)(514, 730, 559, 775)(519, 735, 560, 776)(520, 736, 564, 780)(523, 739, 557, 773)(524, 740, 570, 786)(525, 741, 571, 787)(526, 742, 567, 783)(527, 743, 573, 789)(528, 744, 561, 777)(530, 746, 563, 779)(532, 748, 572, 788)(533, 749, 578, 794)(535, 751, 545, 761)(536, 752, 581, 797)(538, 754, 541, 757)(539, 755, 550, 766)(540, 756, 585, 801)(542, 758, 587, 803)(546, 762, 593, 809)(547, 763, 594, 810)(548, 764, 590, 806)(549, 765, 596, 812)(552, 768, 586, 802)(554, 770, 595, 811)(555, 771, 601, 817)(558, 774, 604, 820)(562, 778, 608, 824)(565, 781, 609, 825)(566, 782, 610, 826)(568, 784, 603, 819)(569, 785, 614, 830)(574, 790, 613, 829)(575, 791, 618, 834)(576, 792, 599, 815)(577, 793, 615, 831)(579, 795, 620, 836)(580, 796, 591, 807)(582, 798, 622, 838)(583, 799, 612, 828)(584, 800, 621, 837)(588, 804, 623, 839)(589, 805, 624, 840)(592, 808, 628, 844)(597, 813, 627, 843)(598, 814, 632, 848)(600, 816, 629, 845)(602, 818, 634, 850)(605, 821, 636, 852)(606, 822, 626, 842)(607, 823, 635, 851)(611, 827, 630, 846)(616, 832, 625, 841)(617, 833, 631, 847)(619, 835, 633, 849)(637, 853, 648, 864)(638, 854, 646, 862)(639, 855, 647, 863)(640, 856, 644, 860)(641, 857, 645, 861)(642, 858, 643, 859)
	L = (1, 435)(2, 437)(3, 440)(4, 433)(5, 444)(6, 434)(7, 447)(8, 450)(9, 451)(10, 436)(11, 454)(12, 457)(13, 458)(14, 438)(15, 461)(16, 439)(17, 464)(18, 442)(19, 468)(20, 441)(21, 470)(22, 472)(23, 443)(24, 475)(25, 446)(26, 479)(27, 445)(28, 481)(29, 484)(30, 485)(31, 448)(32, 488)(33, 449)(34, 491)(35, 493)(36, 496)(37, 452)(38, 499)(39, 453)(40, 502)(41, 503)(42, 455)(43, 506)(44, 456)(45, 509)(46, 511)(47, 514)(48, 459)(49, 517)(50, 460)(51, 519)(52, 463)(53, 523)(54, 462)(55, 525)(56, 527)(57, 528)(58, 465)(59, 530)(60, 466)(61, 533)(62, 467)(63, 520)(64, 469)(65, 526)(66, 531)(67, 540)(68, 471)(69, 541)(70, 474)(71, 545)(72, 473)(73, 547)(74, 549)(75, 550)(76, 476)(77, 552)(78, 477)(79, 555)(80, 478)(81, 542)(82, 480)(83, 548)(84, 553)(85, 562)(86, 482)(87, 563)(88, 483)(89, 565)(90, 567)(91, 569)(92, 486)(93, 572)(94, 487)(95, 490)(96, 574)(97, 489)(98, 576)(99, 577)(100, 492)(101, 579)(102, 580)(103, 494)(104, 495)(105, 582)(106, 497)(107, 498)(108, 500)(109, 586)(110, 501)(111, 588)(112, 590)(113, 592)(114, 504)(115, 595)(116, 505)(117, 508)(118, 597)(119, 507)(120, 599)(121, 600)(122, 510)(123, 602)(124, 603)(125, 512)(126, 513)(127, 605)(128, 515)(129, 516)(130, 518)(131, 536)(132, 534)(133, 601)(134, 521)(135, 612)(136, 522)(137, 524)(138, 606)(139, 610)(140, 538)(141, 593)(142, 617)(143, 529)(144, 532)(145, 619)(146, 608)(147, 535)(148, 621)(149, 618)(150, 616)(151, 537)(152, 539)(153, 611)(154, 558)(155, 556)(156, 578)(157, 543)(158, 626)(159, 544)(160, 546)(161, 583)(162, 624)(163, 560)(164, 570)(165, 631)(166, 551)(167, 554)(168, 633)(169, 585)(170, 557)(171, 635)(172, 632)(173, 630)(174, 559)(175, 561)(176, 625)(177, 564)(178, 638)(179, 566)(180, 639)(181, 568)(182, 640)(183, 571)(184, 573)(185, 575)(186, 641)(187, 584)(188, 642)(189, 637)(190, 581)(191, 587)(192, 644)(193, 589)(194, 645)(195, 591)(196, 646)(197, 594)(198, 596)(199, 598)(200, 647)(201, 607)(202, 648)(203, 643)(204, 604)(205, 609)(206, 620)(207, 613)(208, 622)(209, 614)(210, 615)(211, 623)(212, 634)(213, 627)(214, 636)(215, 628)(216, 629)(217, 649)(218, 650)(219, 651)(220, 652)(221, 653)(222, 654)(223, 655)(224, 656)(225, 657)(226, 658)(227, 659)(228, 660)(229, 661)(230, 662)(231, 663)(232, 664)(233, 665)(234, 666)(235, 667)(236, 668)(237, 669)(238, 670)(239, 671)(240, 672)(241, 673)(242, 674)(243, 675)(244, 676)(245, 677)(246, 678)(247, 679)(248, 680)(249, 681)(250, 682)(251, 683)(252, 684)(253, 685)(254, 686)(255, 687)(256, 688)(257, 689)(258, 690)(259, 691)(260, 692)(261, 693)(262, 694)(263, 695)(264, 696)(265, 697)(266, 698)(267, 699)(268, 700)(269, 701)(270, 702)(271, 703)(272, 704)(273, 705)(274, 706)(275, 707)(276, 708)(277, 709)(278, 710)(279, 711)(280, 712)(281, 713)(282, 714)(283, 715)(284, 716)(285, 717)(286, 718)(287, 719)(288, 720)(289, 721)(290, 722)(291, 723)(292, 724)(293, 725)(294, 726)(295, 727)(296, 728)(297, 729)(298, 730)(299, 731)(300, 732)(301, 733)(302, 734)(303, 735)(304, 736)(305, 737)(306, 738)(307, 739)(308, 740)(309, 741)(310, 742)(311, 743)(312, 744)(313, 745)(314, 746)(315, 747)(316, 748)(317, 749)(318, 750)(319, 751)(320, 752)(321, 753)(322, 754)(323, 755)(324, 756)(325, 757)(326, 758)(327, 759)(328, 760)(329, 761)(330, 762)(331, 763)(332, 764)(333, 765)(334, 766)(335, 767)(336, 768)(337, 769)(338, 770)(339, 771)(340, 772)(341, 773)(342, 774)(343, 775)(344, 776)(345, 777)(346, 778)(347, 779)(348, 780)(349, 781)(350, 782)(351, 783)(352, 784)(353, 785)(354, 786)(355, 787)(356, 788)(357, 789)(358, 790)(359, 791)(360, 792)(361, 793)(362, 794)(363, 795)(364, 796)(365, 797)(366, 798)(367, 799)(368, 800)(369, 801)(370, 802)(371, 803)(372, 804)(373, 805)(374, 806)(375, 807)(376, 808)(377, 809)(378, 810)(379, 811)(380, 812)(381, 813)(382, 814)(383, 815)(384, 816)(385, 817)(386, 818)(387, 819)(388, 820)(389, 821)(390, 822)(391, 823)(392, 824)(393, 825)(394, 826)(395, 827)(396, 828)(397, 829)(398, 830)(399, 831)(400, 832)(401, 833)(402, 834)(403, 835)(404, 836)(405, 837)(406, 838)(407, 839)(408, 840)(409, 841)(410, 842)(411, 843)(412, 844)(413, 845)(414, 846)(415, 847)(416, 848)(417, 849)(418, 850)(419, 851)(420, 852)(421, 853)(422, 854)(423, 855)(424, 856)(425, 857)(426, 858)(427, 859)(428, 860)(429, 861)(430, 862)(431, 863)(432, 864)
	local type(s) :: { ( 8, 12 ), ( 8, 12, 8, 12 ) }
Outer automorphisms :: reflexible
Dual of E10.932
Graph:: simple bipartite
	v = 324 e = 432 f = 90
	degree seq :: [ 2^216, 4^108 ]

E10.934 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 6})
Quotient :: dipole
Aut^+ = (C3 x S3 x S3) : C2 (small group id <216, 158>)
Aut   = $<432, 741>$ (small group id <432, 741>)
|r| :: 2
Presentation :: [ Y2, R^2, Y3^2, R * Y2 * R * Y2^-1, (R * Y3)^2, (Y3 * Y2^-1)^2, (R * Y1)^2, Y1^6, (Y1^-1 * Y3)^4, Y3 * Y1^2 * Y3 * Y1^2 * Y3 * Y1^-2 * Y3 * Y1^-2, (Y1^-1 * Y3 * Y1^-2)^4 ]
Map:: polytopal
	R = (1, 217, 2, 218, 5, 221, 11, 227, 10, 226, 4, 220)(3, 219, 7, 223, 15, 231, 29, 245, 18, 234, 8, 224)(6, 222, 13, 229, 25, 241, 46, 262, 28, 244, 14, 230)(9, 225, 19, 235, 35, 251, 61, 277, 37, 253, 20, 236)(12, 228, 23, 239, 42, 258, 73, 289, 45, 261, 24, 240)(16, 232, 31, 247, 54, 270, 92, 308, 56, 272, 32, 248)(17, 233, 33, 249, 57, 273, 82, 298, 48, 264, 26, 242)(21, 237, 38, 254, 66, 282, 107, 323, 68, 284, 39, 255)(22, 238, 40, 256, 69, 285, 109, 325, 72, 288, 41, 257)(27, 243, 49, 265, 83, 299, 117, 333, 75, 291, 43, 259)(30, 246, 52, 268, 74, 290, 115, 331, 91, 307, 53, 269)(34, 250, 59, 275, 77, 293, 120, 336, 100, 316, 60, 276)(36, 252, 63, 279, 103, 319, 149, 365, 105, 321, 64, 280)(44, 260, 76, 292, 118, 334, 156, 372, 111, 327, 70, 286)(47, 263, 79, 295, 110, 326, 102, 318, 62, 278, 80, 296)(50, 266, 85, 301, 113, 329, 106, 322, 65, 281, 86, 302)(51, 267, 87, 303, 131, 347, 154, 370, 134, 350, 88, 304)(55, 271, 94, 310, 140, 356, 180, 396, 135, 351, 89, 305)(58, 274, 97, 313, 144, 360, 174, 390, 127, 343, 98, 314)(67, 283, 71, 287, 112, 328, 157, 373, 153, 369, 108, 324)(78, 294, 121, 337, 167, 383, 152, 368, 170, 386, 122, 338)(81, 297, 125, 341, 95, 311, 142, 358, 171, 387, 123, 339)(84, 300, 128, 344, 175, 391, 199, 415, 164, 380, 129, 345)(90, 306, 136, 352, 181, 397, 192, 408, 178, 394, 132, 348)(93, 309, 138, 354, 177, 393, 143, 359, 96, 312, 139, 355)(99, 315, 133, 349, 179, 395, 193, 409, 165, 381, 119, 335)(101, 317, 146, 362, 160, 376, 114, 330, 159, 375, 147, 363)(104, 320, 151, 367, 190, 406, 201, 417, 168, 384, 124, 340)(116, 332, 162, 378, 126, 342, 173, 389, 196, 412, 161, 377)(130, 346, 169, 385, 202, 418, 189, 405, 194, 410, 158, 374)(137, 353, 182, 398, 150, 366, 166, 382, 195, 411, 183, 399)(141, 357, 172, 388, 197, 413, 211, 427, 208, 424, 185, 401)(145, 361, 176, 392, 200, 416, 212, 428, 209, 425, 184, 400)(148, 364, 155, 371, 191, 407, 163, 379, 198, 414, 188, 404)(186, 402, 210, 426, 213, 429, 204, 420, 215, 431, 206, 422)(187, 403, 205, 421, 214, 430, 207, 423, 216, 432, 203, 419)(433, 649)(434, 650)(435, 651)(436, 652)(437, 653)(438, 654)(439, 655)(440, 656)(441, 657)(442, 658)(443, 659)(444, 660)(445, 661)(446, 662)(447, 663)(448, 664)(449, 665)(450, 666)(451, 667)(452, 668)(453, 669)(454, 670)(455, 671)(456, 672)(457, 673)(458, 674)(459, 675)(460, 676)(461, 677)(462, 678)(463, 679)(464, 680)(465, 681)(466, 682)(467, 683)(468, 684)(469, 685)(470, 686)(471, 687)(472, 688)(473, 689)(474, 690)(475, 691)(476, 692)(477, 693)(478, 694)(479, 695)(480, 696)(481, 697)(482, 698)(483, 699)(484, 700)(485, 701)(486, 702)(487, 703)(488, 704)(489, 705)(490, 706)(491, 707)(492, 708)(493, 709)(494, 710)(495, 711)(496, 712)(497, 713)(498, 714)(499, 715)(500, 716)(501, 717)(502, 718)(503, 719)(504, 720)(505, 721)(506, 722)(507, 723)(508, 724)(509, 725)(510, 726)(511, 727)(512, 728)(513, 729)(514, 730)(515, 731)(516, 732)(517, 733)(518, 734)(519, 735)(520, 736)(521, 737)(522, 738)(523, 739)(524, 740)(525, 741)(526, 742)(527, 743)(528, 744)(529, 745)(530, 746)(531, 747)(532, 748)(533, 749)(534, 750)(535, 751)(536, 752)(537, 753)(538, 754)(539, 755)(540, 756)(541, 757)(542, 758)(543, 759)(544, 760)(545, 761)(546, 762)(547, 763)(548, 764)(549, 765)(550, 766)(551, 767)(552, 768)(553, 769)(554, 770)(555, 771)(556, 772)(557, 773)(558, 774)(559, 775)(560, 776)(561, 777)(562, 778)(563, 779)(564, 780)(565, 781)(566, 782)(567, 783)(568, 784)(569, 785)(570, 786)(571, 787)(572, 788)(573, 789)(574, 790)(575, 791)(576, 792)(577, 793)(578, 794)(579, 795)(580, 796)(581, 797)(582, 798)(583, 799)(584, 800)(585, 801)(586, 802)(587, 803)(588, 804)(589, 805)(590, 806)(591, 807)(592, 808)(593, 809)(594, 810)(595, 811)(596, 812)(597, 813)(598, 814)(599, 815)(600, 816)(601, 817)(602, 818)(603, 819)(604, 820)(605, 821)(606, 822)(607, 823)(608, 824)(609, 825)(610, 826)(611, 827)(612, 828)(613, 829)(614, 830)(615, 831)(616, 832)(617, 833)(618, 834)(619, 835)(620, 836)(621, 837)(622, 838)(623, 839)(624, 840)(625, 841)(626, 842)(627, 843)(628, 844)(629, 845)(630, 846)(631, 847)(632, 848)(633, 849)(634, 850)(635, 851)(636, 852)(637, 853)(638, 854)(639, 855)(640, 856)(641, 857)(642, 858)(643, 859)(644, 860)(645, 861)(646, 862)(647, 863)(648, 864)
	L = (1, 435)(2, 438)(3, 433)(4, 441)(5, 444)(6, 434)(7, 448)(8, 449)(9, 436)(10, 453)(11, 454)(12, 437)(13, 458)(14, 459)(15, 462)(16, 439)(17, 440)(18, 466)(19, 468)(20, 463)(21, 442)(22, 443)(23, 475)(24, 476)(25, 479)(26, 445)(27, 446)(28, 482)(29, 483)(30, 447)(31, 452)(32, 487)(33, 490)(34, 450)(35, 494)(36, 451)(37, 497)(38, 499)(39, 495)(40, 502)(41, 503)(42, 506)(43, 455)(44, 456)(45, 509)(46, 510)(47, 457)(48, 513)(49, 516)(50, 460)(51, 461)(52, 521)(53, 522)(54, 525)(55, 464)(56, 527)(57, 528)(58, 465)(59, 531)(60, 529)(61, 533)(62, 467)(63, 471)(64, 536)(65, 469)(66, 523)(67, 470)(68, 532)(69, 542)(70, 472)(71, 473)(72, 545)(73, 546)(74, 474)(75, 548)(76, 551)(77, 477)(78, 478)(79, 555)(80, 556)(81, 480)(82, 558)(83, 559)(84, 481)(85, 562)(86, 560)(87, 564)(88, 565)(89, 484)(90, 485)(91, 498)(92, 569)(93, 486)(94, 573)(95, 488)(96, 489)(97, 492)(98, 577)(99, 491)(100, 500)(101, 493)(102, 580)(103, 582)(104, 496)(105, 572)(106, 570)(107, 584)(108, 568)(109, 586)(110, 501)(111, 587)(112, 590)(113, 504)(114, 505)(115, 593)(116, 507)(117, 595)(118, 596)(119, 508)(120, 598)(121, 600)(122, 601)(123, 511)(124, 512)(125, 604)(126, 514)(127, 515)(128, 518)(129, 608)(130, 517)(131, 609)(132, 519)(133, 520)(134, 603)(135, 591)(136, 540)(137, 524)(138, 538)(139, 616)(140, 537)(141, 526)(142, 618)(143, 619)(144, 599)(145, 530)(146, 620)(147, 607)(148, 534)(149, 621)(150, 535)(151, 617)(152, 539)(153, 622)(154, 541)(155, 543)(156, 624)(157, 625)(158, 544)(159, 567)(160, 627)(161, 547)(162, 629)(163, 549)(164, 550)(165, 632)(166, 552)(167, 576)(168, 553)(169, 554)(170, 628)(171, 566)(172, 557)(173, 635)(174, 636)(175, 579)(176, 561)(177, 563)(178, 637)(179, 638)(180, 639)(181, 640)(182, 641)(183, 642)(184, 571)(185, 583)(186, 574)(187, 575)(188, 578)(189, 581)(190, 585)(191, 643)(192, 588)(193, 589)(194, 644)(195, 592)(196, 602)(197, 594)(198, 645)(199, 646)(200, 597)(201, 647)(202, 648)(203, 605)(204, 606)(205, 610)(206, 611)(207, 612)(208, 613)(209, 614)(210, 615)(211, 623)(212, 626)(213, 630)(214, 631)(215, 633)(216, 634)(217, 649)(218, 650)(219, 651)(220, 652)(221, 653)(222, 654)(223, 655)(224, 656)(225, 657)(226, 658)(227, 659)(228, 660)(229, 661)(230, 662)(231, 663)(232, 664)(233, 665)(234, 666)(235, 667)(236, 668)(237, 669)(238, 670)(239, 671)(240, 672)(241, 673)(242, 674)(243, 675)(244, 676)(245, 677)(246, 678)(247, 679)(248, 680)(249, 681)(250, 682)(251, 683)(252, 684)(253, 685)(254, 686)(255, 687)(256, 688)(257, 689)(258, 690)(259, 691)(260, 692)(261, 693)(262, 694)(263, 695)(264, 696)(265, 697)(266, 698)(267, 699)(268, 700)(269, 701)(270, 702)(271, 703)(272, 704)(273, 705)(274, 706)(275, 707)(276, 708)(277, 709)(278, 710)(279, 711)(280, 712)(281, 713)(282, 714)(283, 715)(284, 716)(285, 717)(286, 718)(287, 719)(288, 720)(289, 721)(290, 722)(291, 723)(292, 724)(293, 725)(294, 726)(295, 727)(296, 728)(297, 729)(298, 730)(299, 731)(300, 732)(301, 733)(302, 734)(303, 735)(304, 736)(305, 737)(306, 738)(307, 739)(308, 740)(309, 741)(310, 742)(311, 743)(312, 744)(313, 745)(314, 746)(315, 747)(316, 748)(317, 749)(318, 750)(319, 751)(320, 752)(321, 753)(322, 754)(323, 755)(324, 756)(325, 757)(326, 758)(327, 759)(328, 760)(329, 761)(330, 762)(331, 763)(332, 764)(333, 765)(334, 766)(335, 767)(336, 768)(337, 769)(338, 770)(339, 771)(340, 772)(341, 773)(342, 774)(343, 775)(344, 776)(345, 777)(346, 778)(347, 779)(348, 780)(349, 781)(350, 782)(351, 783)(352, 784)(353, 785)(354, 786)(355, 787)(356, 788)(357, 789)(358, 790)(359, 791)(360, 792)(361, 793)(362, 794)(363, 795)(364, 796)(365, 797)(366, 798)(367, 799)(368, 800)(369, 801)(370, 802)(371, 803)(372, 804)(373, 805)(374, 806)(375, 807)(376, 808)(377, 809)(378, 810)(379, 811)(380, 812)(381, 813)(382, 814)(383, 815)(384, 816)(385, 817)(386, 818)(387, 819)(388, 820)(389, 821)(390, 822)(391, 823)(392, 824)(393, 825)(394, 826)(395, 827)(396, 828)(397, 829)(398, 830)(399, 831)(400, 832)(401, 833)(402, 834)(403, 835)(404, 836)(405, 837)(406, 838)(407, 839)(408, 840)(409, 841)(410, 842)(411, 843)(412, 844)(413, 845)(414, 846)(415, 847)(416, 848)(417, 849)(418, 850)(419, 851)(420, 852)(421, 853)(422, 854)(423, 855)(424, 856)(425, 857)(426, 858)(427, 859)(428, 860)(429, 861)(430, 862)(431, 863)(432, 864)
	local type(s) :: { ( 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E10.931
Graph:: simple bipartite
	v = 252 e = 432 f = 162
	degree seq :: [ 2^216, 12^36 ]

E10.935 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 6})
Quotient :: dipole
Aut^+ = (C3 x S3 x S3) : C2 (small group id <216, 158>)
Aut   = $<432, 741>$ (small group id <432, 741>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y2^6, (Y2 * Y1)^4, (Y3 * Y2^-1)^4, Y2^-1 * Y1 * Y2^2 * Y1 * Y2^2 * Y1 * Y2^-2 * Y1 * Y2^-1, (Y2^-1 * Y1 * Y2^-2)^4 ]
Map::
	R = (1, 217, 2, 218)(3, 219, 7, 223)(4, 220, 9, 225)(5, 221, 11, 227)(6, 222, 13, 229)(8, 224, 17, 233)(10, 226, 21, 237)(12, 228, 24, 240)(14, 230, 28, 244)(15, 231, 27, 243)(16, 232, 30, 246)(18, 234, 34, 250)(19, 235, 35, 251)(20, 236, 22, 238)(23, 239, 41, 257)(25, 241, 45, 261)(26, 242, 46, 262)(29, 245, 51, 267)(31, 247, 55, 271)(32, 248, 54, 270)(33, 249, 57, 273)(36, 252, 63, 279)(37, 253, 65, 281)(38, 254, 66, 282)(39, 255, 61, 277)(40, 256, 69, 285)(42, 258, 73, 289)(43, 259, 72, 288)(44, 260, 75, 291)(47, 263, 81, 297)(48, 264, 83, 299)(49, 265, 84, 300)(50, 266, 79, 295)(52, 268, 89, 305)(53, 269, 90, 306)(56, 272, 74, 290)(58, 274, 85, 301)(59, 275, 97, 313)(60, 276, 99, 315)(62, 278, 102, 318)(64, 280, 105, 321)(67, 283, 76, 292)(68, 284, 86, 302)(70, 286, 111, 327)(71, 287, 112, 328)(77, 293, 119, 335)(78, 294, 121, 337)(80, 296, 124, 340)(82, 298, 127, 343)(87, 303, 128, 344)(88, 304, 132, 348)(91, 307, 125, 341)(92, 308, 138, 354)(93, 309, 139, 355)(94, 310, 135, 351)(95, 311, 141, 357)(96, 312, 129, 345)(98, 314, 131, 347)(100, 316, 140, 356)(101, 317, 146, 362)(103, 319, 113, 329)(104, 320, 149, 365)(106, 322, 109, 325)(107, 323, 118, 334)(108, 324, 153, 369)(110, 326, 155, 371)(114, 330, 161, 377)(115, 331, 162, 378)(116, 332, 158, 374)(117, 333, 164, 380)(120, 336, 154, 370)(122, 338, 163, 379)(123, 339, 169, 385)(126, 342, 172, 388)(130, 346, 176, 392)(133, 349, 177, 393)(134, 350, 178, 394)(136, 352, 171, 387)(137, 353, 182, 398)(142, 358, 181, 397)(143, 359, 186, 402)(144, 360, 167, 383)(145, 361, 183, 399)(147, 363, 188, 404)(148, 364, 159, 375)(150, 366, 190, 406)(151, 367, 180, 396)(152, 368, 189, 405)(156, 372, 191, 407)(157, 373, 192, 408)(160, 376, 196, 412)(165, 381, 195, 411)(166, 382, 200, 416)(168, 384, 197, 413)(170, 386, 202, 418)(173, 389, 204, 420)(174, 390, 194, 410)(175, 391, 203, 419)(179, 395, 198, 414)(184, 400, 193, 409)(185, 401, 199, 415)(187, 403, 201, 417)(205, 421, 216, 432)(206, 422, 214, 430)(207, 423, 215, 431)(208, 424, 212, 428)(209, 425, 213, 429)(210, 426, 211, 427)(433, 649, 435, 651, 440, 656, 450, 666, 442, 658, 436, 652)(434, 650, 437, 653, 444, 660, 457, 673, 446, 662, 438, 654)(439, 655, 447, 663, 461, 677, 484, 700, 463, 679, 448, 664)(441, 657, 451, 667, 468, 684, 496, 712, 469, 685, 452, 668)(443, 659, 454, 670, 472, 688, 502, 718, 474, 690, 455, 671)(445, 661, 458, 674, 479, 695, 514, 730, 480, 696, 459, 675)(449, 665, 464, 680, 488, 704, 527, 743, 490, 706, 465, 681)(453, 669, 470, 686, 499, 715, 540, 756, 500, 716, 471, 687)(456, 672, 475, 691, 506, 722, 549, 765, 508, 724, 476, 692)(460, 676, 481, 697, 517, 733, 562, 778, 518, 734, 482, 698)(462, 678, 485, 701, 523, 739, 569, 785, 524, 740, 486, 702)(466, 682, 491, 707, 530, 746, 576, 792, 532, 748, 492, 708)(467, 683, 493, 709, 533, 749, 579, 795, 535, 751, 494, 710)(473, 689, 503, 719, 545, 761, 592, 808, 546, 762, 504, 720)(477, 693, 509, 725, 552, 768, 599, 815, 554, 770, 510, 726)(478, 694, 511, 727, 555, 771, 602, 818, 557, 773, 512, 728)(483, 699, 519, 735, 563, 779, 536, 752, 495, 711, 520, 736)(487, 703, 525, 741, 572, 788, 538, 754, 497, 713, 526, 742)(489, 705, 528, 744, 574, 790, 617, 833, 575, 791, 529, 745)(498, 714, 531, 747, 577, 793, 619, 835, 584, 800, 539, 755)(501, 717, 541, 757, 586, 802, 558, 774, 513, 729, 542, 758)(505, 721, 547, 763, 595, 811, 560, 776, 515, 731, 548, 764)(507, 723, 550, 766, 597, 813, 631, 847, 598, 814, 551, 767)(516, 732, 553, 769, 600, 816, 633, 849, 607, 823, 561, 777)(521, 737, 565, 781, 601, 817, 585, 801, 611, 827, 566, 782)(522, 738, 567, 783, 612, 828, 639, 855, 613, 829, 568, 784)(534, 750, 580, 796, 621, 837, 637, 853, 609, 825, 564, 780)(537, 753, 582, 798, 616, 832, 573, 789, 593, 809, 583, 799)(543, 759, 588, 804, 578, 794, 608, 824, 625, 841, 589, 805)(544, 760, 590, 806, 626, 842, 645, 861, 627, 843, 591, 807)(556, 772, 603, 819, 635, 851, 643, 859, 623, 839, 587, 803)(559, 775, 605, 821, 630, 846, 596, 812, 570, 786, 606, 822)(571, 787, 610, 826, 638, 854, 620, 836, 642, 858, 615, 831)(581, 797, 618, 834, 641, 857, 614, 830, 640, 856, 622, 838)(594, 810, 624, 840, 644, 860, 634, 850, 648, 864, 629, 845)(604, 820, 632, 848, 647, 863, 628, 844, 646, 862, 636, 852)
	L = (1, 434)(2, 433)(3, 439)(4, 441)(5, 443)(6, 445)(7, 435)(8, 449)(9, 436)(10, 453)(11, 437)(12, 456)(13, 438)(14, 460)(15, 459)(16, 462)(17, 440)(18, 466)(19, 467)(20, 454)(21, 442)(22, 452)(23, 473)(24, 444)(25, 477)(26, 478)(27, 447)(28, 446)(29, 483)(30, 448)(31, 487)(32, 486)(33, 489)(34, 450)(35, 451)(36, 495)(37, 497)(38, 498)(39, 493)(40, 501)(41, 455)(42, 505)(43, 504)(44, 507)(45, 457)(46, 458)(47, 513)(48, 515)(49, 516)(50, 511)(51, 461)(52, 521)(53, 522)(54, 464)(55, 463)(56, 506)(57, 465)(58, 517)(59, 529)(60, 531)(61, 471)(62, 534)(63, 468)(64, 537)(65, 469)(66, 470)(67, 508)(68, 518)(69, 472)(70, 543)(71, 544)(72, 475)(73, 474)(74, 488)(75, 476)(76, 499)(77, 551)(78, 553)(79, 482)(80, 556)(81, 479)(82, 559)(83, 480)(84, 481)(85, 490)(86, 500)(87, 560)(88, 564)(89, 484)(90, 485)(91, 557)(92, 570)(93, 571)(94, 567)(95, 573)(96, 561)(97, 491)(98, 563)(99, 492)(100, 572)(101, 578)(102, 494)(103, 545)(104, 581)(105, 496)(106, 541)(107, 550)(108, 585)(109, 538)(110, 587)(111, 502)(112, 503)(113, 535)(114, 593)(115, 594)(116, 590)(117, 596)(118, 539)(119, 509)(120, 586)(121, 510)(122, 595)(123, 601)(124, 512)(125, 523)(126, 604)(127, 514)(128, 519)(129, 528)(130, 608)(131, 530)(132, 520)(133, 609)(134, 610)(135, 526)(136, 603)(137, 614)(138, 524)(139, 525)(140, 532)(141, 527)(142, 613)(143, 618)(144, 599)(145, 615)(146, 533)(147, 620)(148, 591)(149, 536)(150, 622)(151, 612)(152, 621)(153, 540)(154, 552)(155, 542)(156, 623)(157, 624)(158, 548)(159, 580)(160, 628)(161, 546)(162, 547)(163, 554)(164, 549)(165, 627)(166, 632)(167, 576)(168, 629)(169, 555)(170, 634)(171, 568)(172, 558)(173, 636)(174, 626)(175, 635)(176, 562)(177, 565)(178, 566)(179, 630)(180, 583)(181, 574)(182, 569)(183, 577)(184, 625)(185, 631)(186, 575)(187, 633)(188, 579)(189, 584)(190, 582)(191, 588)(192, 589)(193, 616)(194, 606)(195, 597)(196, 592)(197, 600)(198, 611)(199, 617)(200, 598)(201, 619)(202, 602)(203, 607)(204, 605)(205, 648)(206, 646)(207, 647)(208, 644)(209, 645)(210, 643)(211, 642)(212, 640)(213, 641)(214, 638)(215, 639)(216, 637)(217, 649)(218, 650)(219, 651)(220, 652)(221, 653)(222, 654)(223, 655)(224, 656)(225, 657)(226, 658)(227, 659)(228, 660)(229, 661)(230, 662)(231, 663)(232, 664)(233, 665)(234, 666)(235, 667)(236, 668)(237, 669)(238, 670)(239, 671)(240, 672)(241, 673)(242, 674)(243, 675)(244, 676)(245, 677)(246, 678)(247, 679)(248, 680)(249, 681)(250, 682)(251, 683)(252, 684)(253, 685)(254, 686)(255, 687)(256, 688)(257, 689)(258, 690)(259, 691)(260, 692)(261, 693)(262, 694)(263, 695)(264, 696)(265, 697)(266, 698)(267, 699)(268, 700)(269, 701)(270, 702)(271, 703)(272, 704)(273, 705)(274, 706)(275, 707)(276, 708)(277, 709)(278, 710)(279, 711)(280, 712)(281, 713)(282, 714)(283, 715)(284, 716)(285, 717)(286, 718)(287, 719)(288, 720)(289, 721)(290, 722)(291, 723)(292, 724)(293, 725)(294, 726)(295, 727)(296, 728)(297, 729)(298, 730)(299, 731)(300, 732)(301, 733)(302, 734)(303, 735)(304, 736)(305, 737)(306, 738)(307, 739)(308, 740)(309, 741)(310, 742)(311, 743)(312, 744)(313, 745)(314, 746)(315, 747)(316, 748)(317, 749)(318, 750)(319, 751)(320, 752)(321, 753)(322, 754)(323, 755)(324, 756)(325, 757)(326, 758)(327, 759)(328, 760)(329, 761)(330, 762)(331, 763)(332, 764)(333, 765)(334, 766)(335, 767)(336, 768)(337, 769)(338, 770)(339, 771)(340, 772)(341, 773)(342, 774)(343, 775)(344, 776)(345, 777)(346, 778)(347, 779)(348, 780)(349, 781)(350, 782)(351, 783)(352, 784)(353, 785)(354, 786)(355, 787)(356, 788)(357, 789)(358, 790)(359, 791)(360, 792)(361, 793)(362, 794)(363, 795)(364, 796)(365, 797)(366, 798)(367, 799)(368, 800)(369, 801)(370, 802)(371, 803)(372, 804)(373, 805)(374, 806)(375, 807)(376, 808)(377, 809)(378, 810)(379, 811)(380, 812)(381, 813)(382, 814)(383, 815)(384, 816)(385, 817)(386, 818)(387, 819)(388, 820)(389, 821)(390, 822)(391, 823)(392, 824)(393, 825)(394, 826)(395, 827)(396, 828)(397, 829)(398, 830)(399, 831)(400, 832)(401, 833)(402, 834)(403, 835)(404, 836)(405, 837)(406, 838)(407, 839)(408, 840)(409, 841)(410, 842)(411, 843)(412, 844)(413, 845)(414, 846)(415, 847)(416, 848)(417, 849)(418, 850)(419, 851)(420, 852)(421, 853)(422, 854)(423, 855)(424, 856)(425, 857)(426, 858)(427, 859)(428, 860)(429, 861)(430, 862)(431, 863)(432, 864)
	local type(s) :: { ( 2, 8, 2, 8 ), ( 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8 ) }
Outer automorphisms :: reflexible
Dual of E10.936
Graph:: bipartite
	v = 144 e = 432 f = 270
	degree seq :: [ 4^108, 12^36 ]

E10.936 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 6})
Quotient :: dipole
Aut^+ = (C3 x S3 x S3) : C2 (small group id <216, 158>)
Aut   = $<432, 741>$ (small group id <432, 741>)
|r| :: 2
Presentation :: [ Y2, R^2, (Y1^-1 * Y3^-1)^2, (R * Y3)^2, (R * Y1)^2, Y1^4, (R * Y2 * Y3^-1)^2, Y3^6, Y3^2 * Y1^-1 * Y3 * Y1^-1 * Y3^-2 * Y1 * Y3^-1 * Y1, (Y3 * Y2^-1)^6, (Y3^-1 * Y1 * Y3^-1)^4, Y3^-3 * Y1 * Y3^-3 * Y1^-1 * Y3^2 * Y1^-1 * Y3^2 * Y1^-1 ]
Map:: polytopal
	R = (1, 217, 2, 218, 6, 222, 4, 220)(3, 219, 9, 225, 21, 237, 11, 227)(5, 221, 13, 229, 18, 234, 7, 223)(8, 224, 19, 235, 33, 249, 15, 231)(10, 226, 23, 239, 47, 263, 25, 241)(12, 228, 16, 232, 34, 250, 28, 244)(14, 230, 31, 247, 58, 274, 29, 245)(17, 233, 36, 252, 69, 285, 38, 254)(20, 236, 42, 258, 77, 293, 40, 256)(22, 238, 45, 261, 82, 298, 43, 259)(24, 240, 49, 265, 91, 307, 50, 266)(26, 242, 44, 260, 83, 299, 53, 269)(27, 243, 54, 270, 98, 314, 55, 271)(30, 246, 59, 275, 75, 291, 39, 255)(32, 248, 62, 278, 106, 322, 64, 280)(35, 251, 68, 284, 114, 330, 66, 282)(37, 253, 71, 287, 121, 337, 72, 288)(41, 257, 78, 294, 112, 328, 65, 281)(46, 262, 87, 303, 137, 353, 85, 301)(48, 264, 76, 292, 126, 342, 88, 304)(51, 267, 89, 305, 140, 356, 95, 311)(52, 268, 73, 289, 119, 335, 96, 312)(56, 272, 67, 283, 115, 331, 94, 310)(57, 273, 101, 317, 148, 364, 99, 315)(60, 276, 105, 321, 133, 349, 86, 302)(61, 277, 79, 295, 130, 346, 103, 319)(63, 279, 108, 324, 156, 372, 109, 325)(70, 286, 113, 329, 161, 377, 118, 334)(74, 290, 110, 326, 154, 370, 124, 340)(80, 296, 116, 332, 165, 381, 128, 344)(81, 297, 131, 347, 153, 369, 107, 323)(84, 300, 135, 351, 163, 379, 117, 333)(90, 306, 142, 358, 173, 389, 127, 343)(92, 308, 136, 352, 179, 395, 143, 359)(93, 309, 144, 360, 169, 385, 122, 338)(97, 313, 134, 350, 160, 376, 129, 345)(100, 316, 149, 365, 159, 375, 111, 327)(102, 318, 146, 362, 182, 398, 151, 367)(104, 320, 145, 361, 164, 380, 125, 341)(120, 336, 168, 384, 198, 414, 162, 378)(123, 339, 170, 386, 194, 410, 157, 373)(132, 348, 155, 371, 193, 409, 176, 392)(138, 354, 158, 374, 195, 411, 180, 396)(139, 355, 172, 388, 191, 407, 175, 391)(141, 357, 183, 399, 199, 415, 178, 394)(147, 363, 167, 383, 201, 417, 177, 393)(150, 366, 166, 382, 197, 413, 187, 403)(152, 368, 171, 387, 192, 408, 190, 406)(174, 390, 196, 412, 188, 404, 206, 422)(181, 397, 207, 423, 214, 430, 204, 420)(184, 400, 208, 424, 213, 429, 202, 418)(185, 401, 209, 425, 212, 428, 205, 421)(186, 402, 211, 427, 216, 432, 203, 419)(189, 405, 210, 426, 215, 431, 200, 416)(433, 649)(434, 650)(435, 651)(436, 652)(437, 653)(438, 654)(439, 655)(440, 656)(441, 657)(442, 658)(443, 659)(444, 660)(445, 661)(446, 662)(447, 663)(448, 664)(449, 665)(450, 666)(451, 667)(452, 668)(453, 669)(454, 670)(455, 671)(456, 672)(457, 673)(458, 674)(459, 675)(460, 676)(461, 677)(462, 678)(463, 679)(464, 680)(465, 681)(466, 682)(467, 683)(468, 684)(469, 685)(470, 686)(471, 687)(472, 688)(473, 689)(474, 690)(475, 691)(476, 692)(477, 693)(478, 694)(479, 695)(480, 696)(481, 697)(482, 698)(483, 699)(484, 700)(485, 701)(486, 702)(487, 703)(488, 704)(489, 705)(490, 706)(491, 707)(492, 708)(493, 709)(494, 710)(495, 711)(496, 712)(497, 713)(498, 714)(499, 715)(500, 716)(501, 717)(502, 718)(503, 719)(504, 720)(505, 721)(506, 722)(507, 723)(508, 724)(509, 725)(510, 726)(511, 727)(512, 728)(513, 729)(514, 730)(515, 731)(516, 732)(517, 733)(518, 734)(519, 735)(520, 736)(521, 737)(522, 738)(523, 739)(524, 740)(525, 741)(526, 742)(527, 743)(528, 744)(529, 745)(530, 746)(531, 747)(532, 748)(533, 749)(534, 750)(535, 751)(536, 752)(537, 753)(538, 754)(539, 755)(540, 756)(541, 757)(542, 758)(543, 759)(544, 760)(545, 761)(546, 762)(547, 763)(548, 764)(549, 765)(550, 766)(551, 767)(552, 768)(553, 769)(554, 770)(555, 771)(556, 772)(557, 773)(558, 774)(559, 775)(560, 776)(561, 777)(562, 778)(563, 779)(564, 780)(565, 781)(566, 782)(567, 783)(568, 784)(569, 785)(570, 786)(571, 787)(572, 788)(573, 789)(574, 790)(575, 791)(576, 792)(577, 793)(578, 794)(579, 795)(580, 796)(581, 797)(582, 798)(583, 799)(584, 800)(585, 801)(586, 802)(587, 803)(588, 804)(589, 805)(590, 806)(591, 807)(592, 808)(593, 809)(594, 810)(595, 811)(596, 812)(597, 813)(598, 814)(599, 815)(600, 816)(601, 817)(602, 818)(603, 819)(604, 820)(605, 821)(606, 822)(607, 823)(608, 824)(609, 825)(610, 826)(611, 827)(612, 828)(613, 829)(614, 830)(615, 831)(616, 832)(617, 833)(618, 834)(619, 835)(620, 836)(621, 837)(622, 838)(623, 839)(624, 840)(625, 841)(626, 842)(627, 843)(628, 844)(629, 845)(630, 846)(631, 847)(632, 848)(633, 849)(634, 850)(635, 851)(636, 852)(637, 853)(638, 854)(639, 855)(640, 856)(641, 857)(642, 858)(643, 859)(644, 860)(645, 861)(646, 862)(647, 863)(648, 864)
	L = (1, 435)(2, 439)(3, 442)(4, 444)(5, 433)(6, 447)(7, 449)(8, 434)(9, 436)(10, 456)(11, 458)(12, 459)(13, 461)(14, 437)(15, 464)(16, 438)(17, 469)(18, 471)(19, 472)(20, 440)(21, 475)(22, 441)(23, 443)(24, 446)(25, 483)(26, 484)(27, 478)(28, 488)(29, 489)(30, 445)(31, 482)(32, 495)(33, 497)(34, 498)(35, 448)(36, 450)(37, 452)(38, 505)(39, 506)(40, 508)(41, 451)(42, 504)(43, 513)(44, 453)(45, 517)(46, 454)(47, 520)(48, 455)(49, 457)(50, 525)(51, 526)(52, 522)(53, 529)(54, 460)(55, 532)(56, 527)(57, 534)(58, 535)(59, 518)(60, 462)(61, 463)(62, 465)(63, 467)(64, 542)(65, 543)(66, 545)(67, 466)(68, 541)(69, 550)(70, 468)(71, 470)(72, 555)(73, 485)(74, 552)(75, 557)(76, 559)(77, 560)(78, 493)(79, 473)(80, 474)(81, 564)(82, 565)(83, 549)(84, 476)(85, 568)(86, 477)(87, 487)(88, 571)(89, 479)(90, 480)(91, 575)(92, 481)(93, 561)(94, 577)(95, 578)(96, 579)(97, 554)(98, 580)(99, 486)(100, 544)(101, 490)(102, 492)(103, 584)(104, 491)(105, 583)(106, 585)(107, 494)(108, 496)(109, 590)(110, 507)(111, 587)(112, 592)(113, 594)(114, 595)(115, 512)(116, 499)(117, 500)(118, 598)(119, 501)(120, 502)(121, 601)(122, 503)(123, 596)(124, 603)(125, 589)(126, 509)(127, 511)(128, 606)(129, 510)(130, 605)(131, 514)(132, 516)(133, 609)(134, 515)(135, 608)(136, 536)(137, 612)(138, 519)(139, 613)(140, 610)(141, 521)(142, 528)(143, 617)(144, 523)(145, 524)(146, 531)(147, 537)(148, 619)(149, 530)(150, 533)(151, 616)(152, 621)(153, 623)(154, 538)(155, 539)(156, 626)(157, 540)(158, 566)(159, 628)(160, 570)(161, 546)(162, 548)(163, 631)(164, 547)(165, 630)(166, 632)(167, 551)(168, 556)(169, 635)(170, 553)(171, 562)(172, 558)(173, 634)(174, 637)(175, 563)(176, 640)(177, 639)(178, 567)(179, 569)(180, 642)(181, 573)(182, 572)(183, 636)(184, 574)(185, 638)(186, 576)(187, 643)(188, 581)(189, 582)(190, 641)(191, 644)(192, 586)(193, 591)(194, 646)(195, 588)(196, 597)(197, 593)(198, 645)(199, 648)(200, 599)(201, 647)(202, 600)(203, 615)(204, 602)(205, 604)(206, 618)(207, 607)(208, 614)(209, 611)(210, 622)(211, 620)(212, 624)(213, 625)(214, 633)(215, 627)(216, 629)(217, 649)(218, 650)(219, 651)(220, 652)(221, 653)(222, 654)(223, 655)(224, 656)(225, 657)(226, 658)(227, 659)(228, 660)(229, 661)(230, 662)(231, 663)(232, 664)(233, 665)(234, 666)(235, 667)(236, 668)(237, 669)(238, 670)(239, 671)(240, 672)(241, 673)(242, 674)(243, 675)(244, 676)(245, 677)(246, 678)(247, 679)(248, 680)(249, 681)(250, 682)(251, 683)(252, 684)(253, 685)(254, 686)(255, 687)(256, 688)(257, 689)(258, 690)(259, 691)(260, 692)(261, 693)(262, 694)(263, 695)(264, 696)(265, 697)(266, 698)(267, 699)(268, 700)(269, 701)(270, 702)(271, 703)(272, 704)(273, 705)(274, 706)(275, 707)(276, 708)(277, 709)(278, 710)(279, 711)(280, 712)(281, 713)(282, 714)(283, 715)(284, 716)(285, 717)(286, 718)(287, 719)(288, 720)(289, 721)(290, 722)(291, 723)(292, 724)(293, 725)(294, 726)(295, 727)(296, 728)(297, 729)(298, 730)(299, 731)(300, 732)(301, 733)(302, 734)(303, 735)(304, 736)(305, 737)(306, 738)(307, 739)(308, 740)(309, 741)(310, 742)(311, 743)(312, 744)(313, 745)(314, 746)(315, 747)(316, 748)(317, 749)(318, 750)(319, 751)(320, 752)(321, 753)(322, 754)(323, 755)(324, 756)(325, 757)(326, 758)(327, 759)(328, 760)(329, 761)(330, 762)(331, 763)(332, 764)(333, 765)(334, 766)(335, 767)(336, 768)(337, 769)(338, 770)(339, 771)(340, 772)(341, 773)(342, 774)(343, 775)(344, 776)(345, 777)(346, 778)(347, 779)(348, 780)(349, 781)(350, 782)(351, 783)(352, 784)(353, 785)(354, 786)(355, 787)(356, 788)(357, 789)(358, 790)(359, 791)(360, 792)(361, 793)(362, 794)(363, 795)(364, 796)(365, 797)(366, 798)(367, 799)(368, 800)(369, 801)(370, 802)(371, 803)(372, 804)(373, 805)(374, 806)(375, 807)(376, 808)(377, 809)(378, 810)(379, 811)(380, 812)(381, 813)(382, 814)(383, 815)(384, 816)(385, 817)(386, 818)(387, 819)(388, 820)(389, 821)(390, 822)(391, 823)(392, 824)(393, 825)(394, 826)(395, 827)(396, 828)(397, 829)(398, 830)(399, 831)(400, 832)(401, 833)(402, 834)(403, 835)(404, 836)(405, 837)(406, 838)(407, 839)(408, 840)(409, 841)(410, 842)(411, 843)(412, 844)(413, 845)(414, 846)(415, 847)(416, 848)(417, 849)(418, 850)(419, 851)(420, 852)(421, 853)(422, 854)(423, 855)(424, 856)(425, 857)(426, 858)(427, 859)(428, 860)(429, 861)(430, 862)(431, 863)(432, 864)
	local type(s) :: { ( 4, 12 ), ( 4, 12, 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E10.935
Graph:: simple bipartite
	v = 270 e = 432 f = 144
	degree seq :: [ 2^216, 8^54 ]

E10.937 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 3, 12})
Quotient :: regular
Aut^+ = ((C6 x C6) : C3) : C2 (small group id <216, 92>)
Aut   = $<432, 523>$ (small group id <432, 523>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, (T1 * T2)^3, T1^-2 * T2 * T1 * T2 * T1^-1 * T2 * T1 * T2 * T1^-2 * T2, T1^12, (T2 * T1^5 * T2 * T1^-2)^2 ]
Map:: polyhedral non-degenerate
	R = (1, 2, 5, 11, 21, 37, 63, 62, 36, 20, 10, 4)(3, 7, 15, 27, 47, 79, 113, 87, 54, 31, 17, 8)(6, 13, 25, 43, 73, 107, 150, 112, 78, 46, 26, 14)(9, 18, 32, 55, 88, 125, 166, 120, 84, 51, 29, 16)(12, 23, 41, 69, 103, 145, 187, 149, 106, 72, 42, 24)(19, 34, 58, 91, 130, 172, 192, 154, 109, 74, 57, 33)(22, 39, 67, 53, 85, 121, 167, 186, 144, 102, 68, 40)(28, 49, 70, 45, 76, 101, 142, 179, 165, 118, 83, 50)(30, 52, 71, 104, 140, 181, 171, 129, 90, 56, 75, 44)(35, 60, 92, 132, 173, 199, 163, 117, 82, 48, 81, 59)(38, 65, 99, 77, 110, 155, 193, 209, 183, 141, 100, 66)(61, 94, 133, 175, 205, 211, 191, 151, 128, 89, 127, 93)(64, 97, 138, 105, 147, 124, 168, 202, 206, 180, 139, 98)(80, 115, 146, 119, 156, 111, 157, 185, 210, 197, 162, 116)(86, 123, 148, 188, 208, 204, 170, 126, 153, 108, 152, 122)(95, 135, 176, 182, 207, 189, 161, 114, 160, 131, 164, 134)(96, 136, 177, 143, 184, 158, 194, 169, 203, 174, 178, 137)(159, 195, 212, 198, 216, 200, 214, 190, 213, 201, 215, 196)
	L = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 13)(10, 19)(11, 22)(14, 23)(15, 28)(17, 30)(18, 33)(20, 35)(21, 38)(24, 39)(25, 44)(26, 45)(27, 48)(29, 49)(31, 53)(32, 56)(34, 59)(36, 61)(37, 64)(40, 65)(41, 70)(42, 71)(43, 74)(46, 77)(47, 80)(50, 81)(51, 69)(52, 67)(54, 86)(55, 89)(57, 75)(58, 83)(60, 93)(62, 95)(63, 96)(66, 97)(68, 101)(72, 105)(73, 108)(76, 99)(78, 111)(79, 114)(82, 115)(84, 119)(85, 122)(87, 124)(88, 126)(90, 127)(91, 131)(92, 129)(94, 134)(98, 136)(100, 140)(102, 143)(103, 146)(104, 138)(106, 148)(107, 151)(109, 152)(110, 156)(112, 158)(113, 159)(116, 160)(117, 145)(118, 164)(120, 155)(121, 154)(123, 147)(125, 169)(128, 153)(130, 162)(132, 174)(133, 165)(135, 137)(139, 179)(141, 182)(142, 177)(144, 185)(149, 189)(150, 190)(157, 184)(161, 195)(163, 198)(166, 200)(167, 201)(168, 196)(170, 203)(171, 178)(172, 202)(173, 204)(175, 180)(176, 181)(183, 208)(186, 211)(187, 212)(188, 207)(191, 213)(192, 215)(193, 216)(194, 214)(197, 206)(199, 209)(205, 210)
	local type(s) :: { ( 3^12 ) }
Outer automorphisms :: reflexible
Dual of E10.938
Transitivity :: ET+ VT+ AT+ REG+
Graph:: simple
	v = 18 e = 108 f = 72
	degree seq :: [ 12^18 ]

E10.938 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 3, 12})
Quotient :: regular
Aut^+ = ((C6 x C6) : C3) : C2 (small group id <216, 92>)
Aut   = $<432, 523>$ (small group id <432, 523>)
|r| :: 2
Presentation :: [ T2^2, F^2, T1^3, (F * T1)^2, (F * T2)^2, (T2 * T1 * T2 * T1^-1)^3, (T1^-1 * T2)^12 ]
Map:: polyhedral non-degenerate
	R = (1, 2, 4)(3, 6, 7)(5, 9, 10)(8, 13, 14)(11, 17, 18)(12, 19, 20)(15, 23, 24)(16, 25, 26)(21, 31, 32)(22, 33, 34)(27, 39, 40)(28, 37, 41)(29, 42, 43)(30, 44, 45)(35, 49, 50)(36, 47, 51)(38, 52, 53)(46, 60, 61)(48, 62, 63)(54, 69, 70)(55, 58, 71)(56, 72, 73)(57, 74, 75)(59, 76, 77)(64, 82, 83)(65, 67, 84)(66, 85, 86)(68, 87, 88)(78, 98, 99)(79, 80, 100)(81, 101, 102)(89, 143, 199)(90, 92, 161)(91, 152, 154)(93, 157, 174)(94, 164, 169)(95, 96, 167)(97, 168, 156)(103, 145, 146)(104, 163, 132)(105, 138, 170)(106, 173, 139)(107, 131, 175)(108, 166, 127)(109, 121, 160)(110, 178, 148)(111, 151, 118)(112, 126, 180)(113, 181, 147)(114, 135, 122)(115, 117, 142)(116, 136, 184)(119, 186, 133)(120, 125, 128)(123, 137, 189)(124, 190, 140)(129, 130, 193)(134, 194, 149)(141, 197, 158)(144, 171, 176)(150, 201, 172)(153, 155, 177)(159, 206, 196)(162, 208, 179)(165, 210, 185)(182, 205, 204)(183, 215, 203)(187, 213, 212)(188, 216, 200)(191, 207, 211)(192, 214, 209)(195, 198, 202)
	L = (1, 3)(2, 5)(4, 8)(6, 11)(7, 12)(9, 15)(10, 16)(13, 21)(14, 22)(17, 27)(18, 28)(19, 29)(20, 30)(23, 35)(24, 36)(25, 37)(26, 38)(31, 46)(32, 43)(33, 47)(34, 48)(39, 54)(40, 55)(41, 56)(42, 57)(44, 58)(45, 59)(49, 64)(50, 65)(51, 66)(52, 67)(53, 68)(60, 78)(61, 79)(62, 80)(63, 81)(69, 89)(70, 90)(71, 91)(72, 92)(73, 93)(74, 94)(75, 95)(76, 96)(77, 97)(82, 123)(83, 153)(84, 105)(85, 155)(86, 144)(87, 157)(88, 110)(98, 116)(99, 169)(100, 103)(101, 171)(102, 113)(104, 167)(106, 174)(107, 161)(108, 176)(109, 177)(111, 179)(112, 164)(114, 182)(115, 183)(117, 185)(118, 159)(119, 156)(120, 187)(121, 172)(122, 188)(124, 148)(125, 191)(126, 149)(127, 141)(128, 192)(129, 143)(130, 147)(131, 158)(132, 150)(133, 137)(134, 139)(135, 195)(136, 140)(138, 196)(142, 198)(145, 200)(146, 165)(151, 202)(152, 203)(154, 162)(160, 207)(163, 209)(166, 211)(168, 208)(170, 205)(173, 212)(175, 213)(178, 204)(180, 214)(181, 210)(184, 216)(186, 201)(189, 206)(190, 194)(193, 197)(199, 215)
	local type(s) :: { ( 12^3 ) }
Outer automorphisms :: reflexible
Dual of E10.937
Transitivity :: ET+ VT+ AT+ REG+
Graph:: simple bipartite
	v = 72 e = 108 f = 18
	degree seq :: [ 3^72 ]

E10.939 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 3, 12})
Quotient :: edge
Aut^+ = ((C6 x C6) : C3) : C2 (small group id <216, 92>)
Aut   = $<432, 523>$ (small group id <432, 523>)
|r| :: 2
Presentation :: [ T1^2, F^2, T2^3, (F * T1)^2, (F * T2)^2, (T1 * T2 * T1 * T2^-1)^3, (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, 55, 56)(44, 47, 57)(45, 58, 59)(46, 60, 61)(48, 62, 63)(49, 64, 65)(50, 53, 66)(51, 67, 68)(52, 69, 70)(54, 71, 72)(73, 91, 92)(74, 76, 93)(75, 94, 95)(77, 96, 97)(78, 98, 99)(79, 80, 100)(81, 101, 102)(82, 156, 120)(83, 85, 159)(84, 126, 154)(86, 115, 194)(87, 161, 139)(88, 89, 163)(90, 105, 180)(103, 177, 175)(104, 178, 179)(106, 181, 171)(107, 182, 183)(108, 184, 185)(109, 186, 187)(110, 188, 189)(111, 165, 176)(112, 191, 192)(113, 158, 193)(114, 173, 170)(116, 151, 174)(117, 196, 197)(118, 172, 149)(119, 199, 200)(121, 202, 203)(122, 190, 145)(123, 204, 205)(124, 146, 148)(125, 207, 169)(127, 166, 147)(128, 138, 167)(129, 142, 144)(130, 209, 210)(131, 201, 143)(132, 134, 198)(133, 164, 211)(135, 195, 212)(136, 213, 157)(137, 155, 214)(140, 168, 215)(141, 216, 150)(152, 208, 153)(160, 206, 162)(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, 289)(272, 290)(273, 291)(274, 292)(275, 293)(276, 294)(277, 295)(278, 296)(279, 297)(280, 298)(281, 299)(282, 300)(283, 301)(284, 302)(285, 303)(286, 304)(287, 305)(288, 306)(307, 381)(308, 356)(309, 383)(310, 384)(311, 385)(312, 331)(313, 387)(314, 388)(315, 355)(316, 390)(317, 341)(318, 391)(319, 339)(320, 335)(321, 346)(322, 352)(323, 357)(324, 326)(325, 333)(327, 337)(328, 368)(329, 371)(330, 376)(332, 380)(334, 349)(336, 351)(338, 353)(340, 422)(342, 411)(343, 378)(344, 418)(345, 424)(347, 369)(348, 412)(350, 366)(354, 373)(358, 430)(359, 415)(360, 432)(361, 404)(362, 427)(363, 420)(364, 429)(365, 400)(367, 421)(370, 426)(372, 402)(374, 416)(375, 414)(377, 406)(379, 409)(382, 428)(386, 425)(389, 419)(392, 394)(393, 403)(395, 396)(397, 401)(398, 405)(399, 410)(407, 413)(408, 423)(417, 431)
	L = (1, 217)(2, 218)(3, 219)(4, 220)(5, 221)(6, 222)(7, 223)(8, 224)(9, 225)(10, 226)(11, 227)(12, 228)(13, 229)(14, 230)(15, 231)(16, 232)(17, 233)(18, 234)(19, 235)(20, 236)(21, 237)(22, 238)(23, 239)(24, 240)(25, 241)(26, 242)(27, 243)(28, 244)(29, 245)(30, 246)(31, 247)(32, 248)(33, 249)(34, 250)(35, 251)(36, 252)(37, 253)(38, 254)(39, 255)(40, 256)(41, 257)(42, 258)(43, 259)(44, 260)(45, 261)(46, 262)(47, 263)(48, 264)(49, 265)(50, 266)(51, 267)(52, 268)(53, 269)(54, 270)(55, 271)(56, 272)(57, 273)(58, 274)(59, 275)(60, 276)(61, 277)(62, 278)(63, 279)(64, 280)(65, 281)(66, 282)(67, 283)(68, 284)(69, 285)(70, 286)(71, 287)(72, 288)(73, 289)(74, 290)(75, 291)(76, 292)(77, 293)(78, 294)(79, 295)(80, 296)(81, 297)(82, 298)(83, 299)(84, 300)(85, 301)(86, 302)(87, 303)(88, 304)(89, 305)(90, 306)(91, 307)(92, 308)(93, 309)(94, 310)(95, 311)(96, 312)(97, 313)(98, 314)(99, 315)(100, 316)(101, 317)(102, 318)(103, 319)(104, 320)(105, 321)(106, 322)(107, 323)(108, 324)(109, 325)(110, 326)(111, 327)(112, 328)(113, 329)(114, 330)(115, 331)(116, 332)(117, 333)(118, 334)(119, 335)(120, 336)(121, 337)(122, 338)(123, 339)(124, 340)(125, 341)(126, 342)(127, 343)(128, 344)(129, 345)(130, 346)(131, 347)(132, 348)(133, 349)(134, 350)(135, 351)(136, 352)(137, 353)(138, 354)(139, 355)(140, 356)(141, 357)(142, 358)(143, 359)(144, 360)(145, 361)(146, 362)(147, 363)(148, 364)(149, 365)(150, 366)(151, 367)(152, 368)(153, 369)(154, 370)(155, 371)(156, 372)(157, 373)(158, 374)(159, 375)(160, 376)(161, 377)(162, 378)(163, 379)(164, 380)(165, 381)(166, 382)(167, 383)(168, 384)(169, 385)(170, 386)(171, 387)(172, 388)(173, 389)(174, 390)(175, 391)(176, 392)(177, 393)(178, 394)(179, 395)(180, 396)(181, 397)(182, 398)(183, 399)(184, 400)(185, 401)(186, 402)(187, 403)(188, 404)(189, 405)(190, 406)(191, 407)(192, 408)(193, 409)(194, 410)(195, 411)(196, 412)(197, 413)(198, 414)(199, 415)(200, 416)(201, 417)(202, 418)(203, 419)(204, 420)(205, 421)(206, 422)(207, 423)(208, 424)(209, 425)(210, 426)(211, 427)(212, 428)(213, 429)(214, 430)(215, 431)(216, 432)
	local type(s) :: { ( 24, 24 ), ( 24^3 ) }
Outer automorphisms :: reflexible
Dual of E10.943
Transitivity :: ET+
Graph:: simple bipartite
	v = 180 e = 216 f = 18
	degree seq :: [ 2^108, 3^72 ]

E10.940 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 3, 12})
Quotient :: edge
Aut^+ = ((C6 x C6) : C3) : C2 (small group id <216, 92>)
Aut   = $<432, 523>$ (small group id <432, 523>)
|r| :: 2
Presentation :: [ F^2, T1^3, (T2 * T1)^2, (F * T1)^2, (F * T2)^2, (T2^2 * T1^-1)^3, T2 * T1^-1 * T2^-2 * T1 * T2^-1 * T1 * T2^2 * T1^-1, T2^12, T1^-1 * T2^3 * T1 * T2^-1 * T1 * T2^-2 * T1^-1 * T2^2 * T1^-1 ]
Map:: polyhedral non-degenerate
	R = (1, 3, 9, 19, 37, 64, 98, 77, 48, 26, 13, 5)(2, 6, 14, 27, 50, 80, 118, 88, 57, 32, 16, 7)(4, 11, 22, 41, 69, 105, 133, 92, 60, 34, 17, 8)(10, 21, 40, 67, 101, 142, 175, 134, 94, 61, 35, 18)(12, 23, 43, 71, 107, 148, 187, 149, 109, 72, 44, 24)(15, 29, 53, 82, 121, 161, 199, 162, 122, 83, 54, 30)(20, 39, 31, 55, 84, 123, 163, 176, 136, 95, 62, 36)(25, 45, 73, 110, 150, 190, 183, 143, 103, 68, 42, 46)(28, 52, 33, 58, 89, 128, 168, 194, 155, 115, 78, 49)(38, 66, 59, 90, 129, 169, 202, 208, 178, 137, 96, 63)(47, 74, 111, 152, 191, 213, 195, 156, 116, 79, 51, 75)(56, 85, 124, 165, 200, 216, 211, 184, 144, 104, 70, 86)(65, 100, 93, 126, 87, 125, 166, 201, 209, 179, 138, 97)(76, 112, 153, 193, 214, 207, 185, 145, 106, 147, 108, 113)(81, 120, 102, 131, 91, 130, 170, 203, 215, 196, 157, 117)(99, 141, 135, 172, 132, 171, 204, 188, 212, 192, 180, 139)(114, 140, 181, 177, 206, 174, 197, 158, 119, 160, 151, 154)(127, 159, 198, 182, 210, 189, 205, 173, 146, 186, 164, 167)(217, 218, 220)(219, 224, 226)(221, 228, 222)(223, 231, 227)(225, 234, 236)(229, 241, 239)(230, 240, 244)(232, 247, 245)(233, 249, 237)(235, 252, 254)(238, 246, 258)(242, 263, 261)(243, 265, 267)(248, 272, 271)(250, 275, 274)(251, 269, 255)(253, 279, 281)(256, 268, 260)(257, 284, 286)(259, 262, 270)(264, 292, 290)(266, 295, 297)(273, 303, 301)(276, 307, 306)(277, 309, 298)(278, 305, 282)(280, 313, 315)(283, 288, 318)(285, 320, 322)(287, 299, 324)(289, 291, 294)(293, 330, 328)(296, 333, 335)(300, 302, 319)(304, 343, 341)(308, 348, 346)(310, 340, 342)(311, 351, 344)(312, 337, 316)(314, 355, 356)(317, 336, 332)(321, 361, 362)(323, 363, 360)(325, 345, 347)(326, 331, 367)(327, 329, 338)(334, 374, 375)(339, 359, 380)(349, 389, 387)(350, 390, 381)(352, 386, 388)(353, 393, 377)(354, 384, 357)(358, 372, 398)(364, 400, 404)(365, 405, 385)(366, 376, 373)(368, 378, 408)(369, 370, 371)(379, 402, 401)(382, 383, 399)(391, 414, 413)(392, 423, 419)(394, 416, 422)(395, 409, 410)(396, 415, 397)(403, 420, 421)(406, 412, 417)(407, 428, 427)(411, 418, 426)(424, 429, 432)(425, 431, 430)
	L = (1, 217)(2, 218)(3, 219)(4, 220)(5, 221)(6, 222)(7, 223)(8, 224)(9, 225)(10, 226)(11, 227)(12, 228)(13, 229)(14, 230)(15, 231)(16, 232)(17, 233)(18, 234)(19, 235)(20, 236)(21, 237)(22, 238)(23, 239)(24, 240)(25, 241)(26, 242)(27, 243)(28, 244)(29, 245)(30, 246)(31, 247)(32, 248)(33, 249)(34, 250)(35, 251)(36, 252)(37, 253)(38, 254)(39, 255)(40, 256)(41, 257)(42, 258)(43, 259)(44, 260)(45, 261)(46, 262)(47, 263)(48, 264)(49, 265)(50, 266)(51, 267)(52, 268)(53, 269)(54, 270)(55, 271)(56, 272)(57, 273)(58, 274)(59, 275)(60, 276)(61, 277)(62, 278)(63, 279)(64, 280)(65, 281)(66, 282)(67, 283)(68, 284)(69, 285)(70, 286)(71, 287)(72, 288)(73, 289)(74, 290)(75, 291)(76, 292)(77, 293)(78, 294)(79, 295)(80, 296)(81, 297)(82, 298)(83, 299)(84, 300)(85, 301)(86, 302)(87, 303)(88, 304)(89, 305)(90, 306)(91, 307)(92, 308)(93, 309)(94, 310)(95, 311)(96, 312)(97, 313)(98, 314)(99, 315)(100, 316)(101, 317)(102, 318)(103, 319)(104, 320)(105, 321)(106, 322)(107, 323)(108, 324)(109, 325)(110, 326)(111, 327)(112, 328)(113, 329)(114, 330)(115, 331)(116, 332)(117, 333)(118, 334)(119, 335)(120, 336)(121, 337)(122, 338)(123, 339)(124, 340)(125, 341)(126, 342)(127, 343)(128, 344)(129, 345)(130, 346)(131, 347)(132, 348)(133, 349)(134, 350)(135, 351)(136, 352)(137, 353)(138, 354)(139, 355)(140, 356)(141, 357)(142, 358)(143, 359)(144, 360)(145, 361)(146, 362)(147, 363)(148, 364)(149, 365)(150, 366)(151, 367)(152, 368)(153, 369)(154, 370)(155, 371)(156, 372)(157, 373)(158, 374)(159, 375)(160, 376)(161, 377)(162, 378)(163, 379)(164, 380)(165, 381)(166, 382)(167, 383)(168, 384)(169, 385)(170, 386)(171, 387)(172, 388)(173, 389)(174, 390)(175, 391)(176, 392)(177, 393)(178, 394)(179, 395)(180, 396)(181, 397)(182, 398)(183, 399)(184, 400)(185, 401)(186, 402)(187, 403)(188, 404)(189, 405)(190, 406)(191, 407)(192, 408)(193, 409)(194, 410)(195, 411)(196, 412)(197, 413)(198, 414)(199, 415)(200, 416)(201, 417)(202, 418)(203, 419)(204, 420)(205, 421)(206, 422)(207, 423)(208, 424)(209, 425)(210, 426)(211, 427)(212, 428)(213, 429)(214, 430)(215, 431)(216, 432)
	local type(s) :: { ( 4^3 ), ( 4^12 ) }
Outer automorphisms :: reflexible
Dual of E10.944
Transitivity :: ET+
Graph:: simple bipartite
	v = 90 e = 216 f = 108
	degree seq :: [ 3^72, 12^18 ]

E10.941 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 3, 12})
Quotient :: edge
Aut^+ = ((C6 x C6) : C3) : C2 (small group id <216, 92>)
Aut   = $<432, 523>$ (small group id <432, 523>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, (T1 * T2)^3, T2 * T1 * T2 * T1^-1 * T2 * T1 * T2 * T1^-2 * T2 * T1^-2, T1^12, (T2 * T1^5 * T2 * T1^-2)^2 ]
Map:: polytopal
	R = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 13)(10, 19)(11, 22)(14, 23)(15, 28)(17, 30)(18, 33)(20, 35)(21, 38)(24, 39)(25, 44)(26, 45)(27, 48)(29, 49)(31, 53)(32, 56)(34, 59)(36, 61)(37, 64)(40, 65)(41, 70)(42, 71)(43, 74)(46, 77)(47, 80)(50, 81)(51, 69)(52, 67)(54, 86)(55, 89)(57, 75)(58, 83)(60, 93)(62, 95)(63, 96)(66, 97)(68, 101)(72, 105)(73, 108)(76, 99)(78, 111)(79, 114)(82, 115)(84, 119)(85, 122)(87, 124)(88, 126)(90, 127)(91, 131)(92, 129)(94, 134)(98, 136)(100, 140)(102, 143)(103, 146)(104, 138)(106, 148)(107, 151)(109, 152)(110, 156)(112, 158)(113, 159)(116, 160)(117, 145)(118, 164)(120, 155)(121, 154)(123, 147)(125, 169)(128, 153)(130, 162)(132, 174)(133, 165)(135, 137)(139, 179)(141, 182)(142, 177)(144, 185)(149, 189)(150, 190)(157, 184)(161, 195)(163, 198)(166, 200)(167, 201)(168, 196)(170, 203)(171, 178)(172, 202)(173, 204)(175, 180)(176, 181)(183, 208)(186, 211)(187, 212)(188, 207)(191, 213)(192, 215)(193, 216)(194, 214)(197, 206)(199, 209)(205, 210)(217, 218, 221, 227, 237, 253, 279, 278, 252, 236, 226, 220)(219, 223, 231, 243, 263, 295, 329, 303, 270, 247, 233, 224)(222, 229, 241, 259, 289, 323, 366, 328, 294, 262, 242, 230)(225, 234, 248, 271, 304, 341, 382, 336, 300, 267, 245, 232)(228, 239, 257, 285, 319, 361, 403, 365, 322, 288, 258, 240)(235, 250, 274, 307, 346, 388, 408, 370, 325, 290, 273, 249)(238, 255, 283, 269, 301, 337, 383, 402, 360, 318, 284, 256)(244, 265, 286, 261, 292, 317, 358, 395, 381, 334, 299, 266)(246, 268, 287, 320, 356, 397, 387, 345, 306, 272, 291, 260)(251, 276, 308, 348, 389, 415, 379, 333, 298, 264, 297, 275)(254, 281, 315, 293, 326, 371, 409, 425, 399, 357, 316, 282)(277, 310, 349, 391, 421, 427, 407, 367, 344, 305, 343, 309)(280, 313, 354, 321, 363, 340, 384, 418, 422, 396, 355, 314)(296, 331, 362, 335, 372, 327, 373, 401, 426, 413, 378, 332)(302, 339, 364, 404, 424, 420, 386, 342, 369, 324, 368, 338)(311, 351, 392, 398, 423, 405, 377, 330, 376, 347, 380, 350)(312, 352, 393, 359, 400, 374, 410, 385, 419, 390, 394, 353)(375, 411, 428, 414, 432, 416, 430, 406, 429, 417, 431, 412)
	L = (1, 217)(2, 218)(3, 219)(4, 220)(5, 221)(6, 222)(7, 223)(8, 224)(9, 225)(10, 226)(11, 227)(12, 228)(13, 229)(14, 230)(15, 231)(16, 232)(17, 233)(18, 234)(19, 235)(20, 236)(21, 237)(22, 238)(23, 239)(24, 240)(25, 241)(26, 242)(27, 243)(28, 244)(29, 245)(30, 246)(31, 247)(32, 248)(33, 249)(34, 250)(35, 251)(36, 252)(37, 253)(38, 254)(39, 255)(40, 256)(41, 257)(42, 258)(43, 259)(44, 260)(45, 261)(46, 262)(47, 263)(48, 264)(49, 265)(50, 266)(51, 267)(52, 268)(53, 269)(54, 270)(55, 271)(56, 272)(57, 273)(58, 274)(59, 275)(60, 276)(61, 277)(62, 278)(63, 279)(64, 280)(65, 281)(66, 282)(67, 283)(68, 284)(69, 285)(70, 286)(71, 287)(72, 288)(73, 289)(74, 290)(75, 291)(76, 292)(77, 293)(78, 294)(79, 295)(80, 296)(81, 297)(82, 298)(83, 299)(84, 300)(85, 301)(86, 302)(87, 303)(88, 304)(89, 305)(90, 306)(91, 307)(92, 308)(93, 309)(94, 310)(95, 311)(96, 312)(97, 313)(98, 314)(99, 315)(100, 316)(101, 317)(102, 318)(103, 319)(104, 320)(105, 321)(106, 322)(107, 323)(108, 324)(109, 325)(110, 326)(111, 327)(112, 328)(113, 329)(114, 330)(115, 331)(116, 332)(117, 333)(118, 334)(119, 335)(120, 336)(121, 337)(122, 338)(123, 339)(124, 340)(125, 341)(126, 342)(127, 343)(128, 344)(129, 345)(130, 346)(131, 347)(132, 348)(133, 349)(134, 350)(135, 351)(136, 352)(137, 353)(138, 354)(139, 355)(140, 356)(141, 357)(142, 358)(143, 359)(144, 360)(145, 361)(146, 362)(147, 363)(148, 364)(149, 365)(150, 366)(151, 367)(152, 368)(153, 369)(154, 370)(155, 371)(156, 372)(157, 373)(158, 374)(159, 375)(160, 376)(161, 377)(162, 378)(163, 379)(164, 380)(165, 381)(166, 382)(167, 383)(168, 384)(169, 385)(170, 386)(171, 387)(172, 388)(173, 389)(174, 390)(175, 391)(176, 392)(177, 393)(178, 394)(179, 395)(180, 396)(181, 397)(182, 398)(183, 399)(184, 400)(185, 401)(186, 402)(187, 403)(188, 404)(189, 405)(190, 406)(191, 407)(192, 408)(193, 409)(194, 410)(195, 411)(196, 412)(197, 413)(198, 414)(199, 415)(200, 416)(201, 417)(202, 418)(203, 419)(204, 420)(205, 421)(206, 422)(207, 423)(208, 424)(209, 425)(210, 426)(211, 427)(212, 428)(213, 429)(214, 430)(215, 431)(216, 432)
	local type(s) :: { ( 6, 6 ), ( 6^12 ) }
Outer automorphisms :: reflexible
Dual of E10.942
Transitivity :: ET+
Graph:: simple bipartite
	v = 126 e = 216 f = 72
	degree seq :: [ 2^108, 12^18 ]

E10.942 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 3, 12})
Quotient :: loop
Aut^+ = ((C6 x C6) : C3) : C2 (small group id <216, 92>)
Aut   = $<432, 523>$ (small group id <432, 523>)
|r| :: 2
Presentation :: [ T1^2, F^2, T2^3, (F * T1)^2, (F * T2)^2, (T1 * T2 * T1 * T2^-1)^3, (T2^-1 * T1)^12 ]
Map::
	R = (1, 217, 3, 219, 4, 220)(2, 218, 5, 221, 6, 222)(7, 223, 11, 227, 12, 228)(8, 224, 13, 229, 14, 230)(9, 225, 15, 231, 16, 232)(10, 226, 17, 233, 18, 234)(19, 235, 27, 243, 28, 244)(20, 236, 29, 245, 30, 246)(21, 237, 31, 247, 32, 248)(22, 238, 33, 249, 34, 250)(23, 239, 35, 251, 36, 252)(24, 240, 37, 253, 38, 254)(25, 241, 39, 255, 40, 256)(26, 242, 41, 257, 42, 258)(43, 259, 55, 271, 56, 272)(44, 260, 47, 263, 57, 273)(45, 261, 58, 274, 59, 275)(46, 262, 60, 276, 61, 277)(48, 264, 62, 278, 63, 279)(49, 265, 64, 280, 65, 281)(50, 266, 53, 269, 66, 282)(51, 267, 67, 283, 68, 284)(52, 268, 69, 285, 70, 286)(54, 270, 71, 287, 72, 288)(73, 289, 91, 307, 92, 308)(74, 290, 76, 292, 93, 309)(75, 291, 94, 310, 95, 311)(77, 293, 96, 312, 97, 313)(78, 294, 98, 314, 99, 315)(79, 295, 80, 296, 100, 316)(81, 297, 101, 317, 102, 318)(82, 298, 157, 373, 133, 349)(83, 299, 85, 301, 160, 376)(84, 300, 159, 375, 193, 409)(86, 302, 137, 353, 200, 416)(87, 303, 163, 379, 114, 330)(88, 304, 89, 305, 165, 381)(90, 306, 136, 352, 189, 405)(103, 319, 155, 371, 149, 365)(104, 320, 166, 382, 145, 361)(105, 321, 141, 357, 148, 364)(106, 322, 152, 368, 171, 387)(107, 323, 138, 354, 144, 360)(108, 324, 161, 377, 185, 401)(109, 325, 186, 402, 130, 346)(110, 326, 188, 404, 143, 359)(111, 327, 172, 388, 126, 342)(112, 328, 191, 407, 147, 363)(113, 329, 124, 340, 146, 362)(115, 331, 131, 347, 134, 350)(116, 332, 120, 336, 150, 366)(117, 333, 127, 343, 129, 345)(118, 334, 177, 393, 128, 344)(119, 335, 197, 413, 169, 385)(121, 337, 190, 406, 175, 391)(122, 338, 198, 414, 132, 348)(123, 339, 168, 384, 199, 415)(125, 341, 187, 403, 178, 394)(135, 351, 174, 390, 207, 423)(139, 355, 180, 396, 173, 389)(140, 356, 202, 418, 208, 424)(142, 358, 179, 395, 209, 425)(151, 367, 205, 421, 215, 431)(153, 369, 181, 397, 214, 430)(154, 370, 196, 412, 212, 428)(156, 372, 182, 398, 213, 429)(158, 374, 170, 386, 216, 432)(162, 378, 183, 399, 211, 427)(164, 380, 194, 410, 210, 426)(167, 383, 184, 400, 176, 392)(192, 408, 206, 422, 204, 420)(195, 411, 201, 417, 203, 419)
	L = (1, 218)(2, 217)(3, 223)(4, 224)(5, 225)(6, 226)(7, 219)(8, 220)(9, 221)(10, 222)(11, 235)(12, 236)(13, 237)(14, 238)(15, 239)(16, 240)(17, 241)(18, 242)(19, 227)(20, 228)(21, 229)(22, 230)(23, 231)(24, 232)(25, 233)(26, 234)(27, 259)(28, 260)(29, 253)(30, 261)(31, 262)(32, 256)(33, 263)(34, 264)(35, 265)(36, 266)(37, 245)(38, 267)(39, 268)(40, 248)(41, 269)(42, 270)(43, 243)(44, 244)(45, 246)(46, 247)(47, 249)(48, 250)(49, 251)(50, 252)(51, 254)(52, 255)(53, 257)(54, 258)(55, 289)(56, 290)(57, 291)(58, 292)(59, 293)(60, 294)(61, 295)(62, 296)(63, 297)(64, 298)(65, 299)(66, 300)(67, 301)(68, 302)(69, 303)(70, 304)(71, 305)(72, 306)(73, 271)(74, 272)(75, 273)(76, 274)(77, 275)(78, 276)(79, 277)(80, 278)(81, 279)(82, 280)(83, 281)(84, 282)(85, 283)(86, 284)(87, 285)(88, 286)(89, 287)(90, 288)(91, 384)(92, 324)(93, 386)(94, 377)(95, 348)(96, 353)(97, 389)(98, 390)(99, 330)(100, 392)(101, 338)(102, 394)(103, 339)(104, 335)(105, 351)(106, 349)(107, 356)(108, 308)(109, 337)(110, 328)(111, 341)(112, 326)(113, 367)(114, 315)(115, 370)(116, 374)(117, 380)(118, 352)(119, 320)(120, 355)(121, 325)(122, 317)(123, 319)(124, 358)(125, 327)(126, 400)(127, 378)(128, 409)(129, 420)(130, 398)(131, 369)(132, 311)(133, 322)(134, 419)(135, 321)(136, 334)(137, 312)(138, 372)(139, 336)(140, 323)(141, 383)(142, 340)(143, 395)(144, 411)(145, 397)(146, 417)(147, 396)(148, 408)(149, 399)(150, 422)(151, 329)(152, 375)(153, 347)(154, 331)(155, 432)(156, 354)(157, 413)(158, 332)(159, 368)(160, 421)(161, 310)(162, 343)(163, 418)(164, 333)(165, 429)(166, 431)(167, 357)(168, 307)(169, 403)(170, 309)(171, 410)(172, 426)(173, 313)(174, 314)(175, 405)(176, 316)(177, 427)(178, 318)(179, 359)(180, 363)(181, 361)(182, 346)(183, 365)(184, 342)(185, 412)(186, 428)(187, 385)(188, 424)(189, 391)(190, 415)(191, 423)(192, 364)(193, 344)(194, 387)(195, 360)(196, 401)(197, 373)(198, 430)(199, 406)(200, 425)(201, 362)(202, 379)(203, 350)(204, 345)(205, 376)(206, 366)(207, 407)(208, 404)(209, 416)(210, 388)(211, 393)(212, 402)(213, 381)(214, 414)(215, 382)(216, 371)
	local type(s) :: { ( 2, 12, 2, 12, 2, 12 ) }
Outer automorphisms :: reflexible
Dual of E10.941
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 72 e = 216 f = 126
	degree seq :: [ 6^72 ]

E10.943 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 3, 12})
Quotient :: loop
Aut^+ = ((C6 x C6) : C3) : C2 (small group id <216, 92>)
Aut   = $<432, 523>$ (small group id <432, 523>)
|r| :: 2
Presentation :: [ F^2, T1^3, (T2 * T1)^2, (F * T1)^2, (F * T2)^2, (T2^2 * T1^-1)^3, T2 * T1^-1 * T2^-2 * T1 * T2^-1 * T1 * T2^2 * T1^-1, T2^12, T1^-1 * T2^3 * T1 * T2^-1 * T1 * T2^-2 * T1^-1 * T2^2 * T1^-1 ]
Map::
	R = (1, 217, 3, 219, 9, 225, 19, 235, 37, 253, 64, 280, 98, 314, 77, 293, 48, 264, 26, 242, 13, 229, 5, 221)(2, 218, 6, 222, 14, 230, 27, 243, 50, 266, 80, 296, 118, 334, 88, 304, 57, 273, 32, 248, 16, 232, 7, 223)(4, 220, 11, 227, 22, 238, 41, 257, 69, 285, 105, 321, 133, 349, 92, 308, 60, 276, 34, 250, 17, 233, 8, 224)(10, 226, 21, 237, 40, 256, 67, 283, 101, 317, 142, 358, 175, 391, 134, 350, 94, 310, 61, 277, 35, 251, 18, 234)(12, 228, 23, 239, 43, 259, 71, 287, 107, 323, 148, 364, 187, 403, 149, 365, 109, 325, 72, 288, 44, 260, 24, 240)(15, 231, 29, 245, 53, 269, 82, 298, 121, 337, 161, 377, 199, 415, 162, 378, 122, 338, 83, 299, 54, 270, 30, 246)(20, 236, 39, 255, 31, 247, 55, 271, 84, 300, 123, 339, 163, 379, 176, 392, 136, 352, 95, 311, 62, 278, 36, 252)(25, 241, 45, 261, 73, 289, 110, 326, 150, 366, 190, 406, 183, 399, 143, 359, 103, 319, 68, 284, 42, 258, 46, 262)(28, 244, 52, 268, 33, 249, 58, 274, 89, 305, 128, 344, 168, 384, 194, 410, 155, 371, 115, 331, 78, 294, 49, 265)(38, 254, 66, 282, 59, 275, 90, 306, 129, 345, 169, 385, 202, 418, 208, 424, 178, 394, 137, 353, 96, 312, 63, 279)(47, 263, 74, 290, 111, 327, 152, 368, 191, 407, 213, 429, 195, 411, 156, 372, 116, 332, 79, 295, 51, 267, 75, 291)(56, 272, 85, 301, 124, 340, 165, 381, 200, 416, 216, 432, 211, 427, 184, 400, 144, 360, 104, 320, 70, 286, 86, 302)(65, 281, 100, 316, 93, 309, 126, 342, 87, 303, 125, 341, 166, 382, 201, 417, 209, 425, 179, 395, 138, 354, 97, 313)(76, 292, 112, 328, 153, 369, 193, 409, 214, 430, 207, 423, 185, 401, 145, 361, 106, 322, 147, 363, 108, 324, 113, 329)(81, 297, 120, 336, 102, 318, 131, 347, 91, 307, 130, 346, 170, 386, 203, 419, 215, 431, 196, 412, 157, 373, 117, 333)(99, 315, 141, 357, 135, 351, 172, 388, 132, 348, 171, 387, 204, 420, 188, 404, 212, 428, 192, 408, 180, 396, 139, 355)(114, 330, 140, 356, 181, 397, 177, 393, 206, 422, 174, 390, 197, 413, 158, 374, 119, 335, 160, 376, 151, 367, 154, 370)(127, 343, 159, 375, 198, 414, 182, 398, 210, 426, 189, 405, 205, 421, 173, 389, 146, 362, 186, 402, 164, 380, 167, 383)
	L = (1, 218)(2, 220)(3, 224)(4, 217)(5, 228)(6, 221)(7, 231)(8, 226)(9, 234)(10, 219)(11, 223)(12, 222)(13, 241)(14, 240)(15, 227)(16, 247)(17, 249)(18, 236)(19, 252)(20, 225)(21, 233)(22, 246)(23, 229)(24, 244)(25, 239)(26, 263)(27, 265)(28, 230)(29, 232)(30, 258)(31, 245)(32, 272)(33, 237)(34, 275)(35, 269)(36, 254)(37, 279)(38, 235)(39, 251)(40, 268)(41, 284)(42, 238)(43, 262)(44, 256)(45, 242)(46, 270)(47, 261)(48, 292)(49, 267)(50, 295)(51, 243)(52, 260)(53, 255)(54, 259)(55, 248)(56, 271)(57, 303)(58, 250)(59, 274)(60, 307)(61, 309)(62, 305)(63, 281)(64, 313)(65, 253)(66, 278)(67, 288)(68, 286)(69, 320)(70, 257)(71, 299)(72, 318)(73, 291)(74, 264)(75, 294)(76, 290)(77, 330)(78, 289)(79, 297)(80, 333)(81, 266)(82, 277)(83, 324)(84, 302)(85, 273)(86, 319)(87, 301)(88, 343)(89, 282)(90, 276)(91, 306)(92, 348)(93, 298)(94, 340)(95, 351)(96, 337)(97, 315)(98, 355)(99, 280)(100, 312)(101, 336)(102, 283)(103, 300)(104, 322)(105, 361)(106, 285)(107, 363)(108, 287)(109, 345)(110, 331)(111, 329)(112, 293)(113, 338)(114, 328)(115, 367)(116, 317)(117, 335)(118, 374)(119, 296)(120, 332)(121, 316)(122, 327)(123, 359)(124, 342)(125, 304)(126, 310)(127, 341)(128, 311)(129, 347)(130, 308)(131, 325)(132, 346)(133, 389)(134, 390)(135, 344)(136, 386)(137, 393)(138, 384)(139, 356)(140, 314)(141, 354)(142, 372)(143, 380)(144, 323)(145, 362)(146, 321)(147, 360)(148, 400)(149, 405)(150, 376)(151, 326)(152, 378)(153, 370)(154, 371)(155, 369)(156, 398)(157, 366)(158, 375)(159, 334)(160, 373)(161, 353)(162, 408)(163, 402)(164, 339)(165, 350)(166, 383)(167, 399)(168, 357)(169, 365)(170, 388)(171, 349)(172, 352)(173, 387)(174, 381)(175, 414)(176, 423)(177, 377)(178, 416)(179, 409)(180, 415)(181, 396)(182, 358)(183, 382)(184, 404)(185, 379)(186, 401)(187, 420)(188, 364)(189, 385)(190, 412)(191, 428)(192, 368)(193, 410)(194, 395)(195, 418)(196, 417)(197, 391)(198, 413)(199, 397)(200, 422)(201, 406)(202, 426)(203, 392)(204, 421)(205, 403)(206, 394)(207, 419)(208, 429)(209, 431)(210, 411)(211, 407)(212, 427)(213, 432)(214, 425)(215, 430)(216, 424)
	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 E10.939
Transitivity :: ET+ VT+ AT
Graph::
	v = 18 e = 216 f = 180
	degree seq :: [ 24^18 ]

E10.944 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 3, 12})
Quotient :: loop
Aut^+ = ((C6 x C6) : C3) : C2 (small group id <216, 92>)
Aut   = $<432, 523>$ (small group id <432, 523>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, (T1 * T2)^3, T2 * T1 * T2 * T1^-1 * T2 * T1 * T2 * T1^-2 * T2 * T1^-2, T1^12, (T2 * T1^5 * T2 * T1^-2)^2 ]
Map:: polyhedral non-degenerate
	R = (1, 217, 3, 219)(2, 218, 6, 222)(4, 220, 9, 225)(5, 221, 12, 228)(7, 223, 16, 232)(8, 224, 13, 229)(10, 226, 19, 235)(11, 227, 22, 238)(14, 230, 23, 239)(15, 231, 28, 244)(17, 233, 30, 246)(18, 234, 33, 249)(20, 236, 35, 251)(21, 237, 38, 254)(24, 240, 39, 255)(25, 241, 44, 260)(26, 242, 45, 261)(27, 243, 48, 264)(29, 245, 49, 265)(31, 247, 53, 269)(32, 248, 56, 272)(34, 250, 59, 275)(36, 252, 61, 277)(37, 253, 64, 280)(40, 256, 65, 281)(41, 257, 70, 286)(42, 258, 71, 287)(43, 259, 74, 290)(46, 262, 77, 293)(47, 263, 80, 296)(50, 266, 81, 297)(51, 267, 69, 285)(52, 268, 67, 283)(54, 270, 86, 302)(55, 271, 89, 305)(57, 273, 75, 291)(58, 274, 83, 299)(60, 276, 93, 309)(62, 278, 95, 311)(63, 279, 96, 312)(66, 282, 97, 313)(68, 284, 101, 317)(72, 288, 105, 321)(73, 289, 108, 324)(76, 292, 99, 315)(78, 294, 111, 327)(79, 295, 114, 330)(82, 298, 115, 331)(84, 300, 119, 335)(85, 301, 122, 338)(87, 303, 124, 340)(88, 304, 126, 342)(90, 306, 127, 343)(91, 307, 131, 347)(92, 308, 129, 345)(94, 310, 134, 350)(98, 314, 136, 352)(100, 316, 140, 356)(102, 318, 143, 359)(103, 319, 146, 362)(104, 320, 138, 354)(106, 322, 148, 364)(107, 323, 151, 367)(109, 325, 152, 368)(110, 326, 156, 372)(112, 328, 158, 374)(113, 329, 159, 375)(116, 332, 160, 376)(117, 333, 145, 361)(118, 334, 164, 380)(120, 336, 155, 371)(121, 337, 154, 370)(123, 339, 147, 363)(125, 341, 169, 385)(128, 344, 153, 369)(130, 346, 162, 378)(132, 348, 174, 390)(133, 349, 165, 381)(135, 351, 137, 353)(139, 355, 179, 395)(141, 357, 182, 398)(142, 358, 177, 393)(144, 360, 185, 401)(149, 365, 189, 405)(150, 366, 190, 406)(157, 373, 184, 400)(161, 377, 195, 411)(163, 379, 198, 414)(166, 382, 200, 416)(167, 383, 201, 417)(168, 384, 196, 412)(170, 386, 203, 419)(171, 387, 178, 394)(172, 388, 202, 418)(173, 389, 204, 420)(175, 391, 180, 396)(176, 392, 181, 397)(183, 399, 208, 424)(186, 402, 211, 427)(187, 403, 212, 428)(188, 404, 207, 423)(191, 407, 213, 429)(192, 408, 215, 431)(193, 409, 216, 432)(194, 410, 214, 430)(197, 413, 206, 422)(199, 415, 209, 425)(205, 421, 210, 426)
	L = (1, 218)(2, 221)(3, 223)(4, 217)(5, 227)(6, 229)(7, 231)(8, 219)(9, 234)(10, 220)(11, 237)(12, 239)(13, 241)(14, 222)(15, 243)(16, 225)(17, 224)(18, 248)(19, 250)(20, 226)(21, 253)(22, 255)(23, 257)(24, 228)(25, 259)(26, 230)(27, 263)(28, 265)(29, 232)(30, 268)(31, 233)(32, 271)(33, 235)(34, 274)(35, 276)(36, 236)(37, 279)(38, 281)(39, 283)(40, 238)(41, 285)(42, 240)(43, 289)(44, 246)(45, 292)(46, 242)(47, 295)(48, 297)(49, 286)(50, 244)(51, 245)(52, 287)(53, 301)(54, 247)(55, 304)(56, 291)(57, 249)(58, 307)(59, 251)(60, 308)(61, 310)(62, 252)(63, 278)(64, 313)(65, 315)(66, 254)(67, 269)(68, 256)(69, 319)(70, 261)(71, 320)(72, 258)(73, 323)(74, 273)(75, 260)(76, 317)(77, 326)(78, 262)(79, 329)(80, 331)(81, 275)(82, 264)(83, 266)(84, 267)(85, 337)(86, 339)(87, 270)(88, 341)(89, 343)(90, 272)(91, 346)(92, 348)(93, 277)(94, 349)(95, 351)(96, 352)(97, 354)(98, 280)(99, 293)(100, 282)(101, 358)(102, 284)(103, 361)(104, 356)(105, 363)(106, 288)(107, 366)(108, 368)(109, 290)(110, 371)(111, 373)(112, 294)(113, 303)(114, 376)(115, 362)(116, 296)(117, 298)(118, 299)(119, 372)(120, 300)(121, 383)(122, 302)(123, 364)(124, 384)(125, 382)(126, 369)(127, 309)(128, 305)(129, 306)(130, 388)(131, 380)(132, 389)(133, 391)(134, 311)(135, 392)(136, 393)(137, 312)(138, 321)(139, 314)(140, 397)(141, 316)(142, 395)(143, 400)(144, 318)(145, 403)(146, 335)(147, 340)(148, 404)(149, 322)(150, 328)(151, 344)(152, 338)(153, 324)(154, 325)(155, 409)(156, 327)(157, 401)(158, 410)(159, 411)(160, 347)(161, 330)(162, 332)(163, 333)(164, 350)(165, 334)(166, 336)(167, 402)(168, 418)(169, 419)(170, 342)(171, 345)(172, 408)(173, 415)(174, 394)(175, 421)(176, 398)(177, 359)(178, 353)(179, 381)(180, 355)(181, 387)(182, 423)(183, 357)(184, 374)(185, 426)(186, 360)(187, 365)(188, 424)(189, 377)(190, 429)(191, 367)(192, 370)(193, 425)(194, 385)(195, 428)(196, 375)(197, 378)(198, 432)(199, 379)(200, 430)(201, 431)(202, 422)(203, 390)(204, 386)(205, 427)(206, 396)(207, 405)(208, 420)(209, 399)(210, 413)(211, 407)(212, 414)(213, 417)(214, 406)(215, 412)(216, 416)
	local type(s) :: { ( 3, 12, 3, 12 ) }
Outer automorphisms :: reflexible
Dual of E10.940
Transitivity :: ET+ VT+ AT
Graph:: simple
	v = 108 e = 216 f = 90
	degree seq :: [ 4^108 ]

E10.945 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 12})
Quotient :: dipole
Aut^+ = ((C6 x C6) : C3) : C2 (small group id <216, 92>)
Aut   = $<432, 523>$ (small group id <432, 523>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, Y2^3, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, (Y1 * Y2 * Y1 * Y2^-1)^3, (Y3 * Y2^-1)^12 ]
Map::
	R = (1, 217, 2, 218)(3, 219, 7, 223)(4, 220, 8, 224)(5, 221, 9, 225)(6, 222, 10, 226)(11, 227, 19, 235)(12, 228, 20, 236)(13, 229, 21, 237)(14, 230, 22, 238)(15, 231, 23, 239)(16, 232, 24, 240)(17, 233, 25, 241)(18, 234, 26, 242)(27, 243, 43, 259)(28, 244, 44, 260)(29, 245, 37, 253)(30, 246, 45, 261)(31, 247, 46, 262)(32, 248, 40, 256)(33, 249, 47, 263)(34, 250, 48, 264)(35, 251, 49, 265)(36, 252, 50, 266)(38, 254, 51, 267)(39, 255, 52, 268)(41, 257, 53, 269)(42, 258, 54, 270)(55, 271, 73, 289)(56, 272, 74, 290)(57, 273, 75, 291)(58, 274, 76, 292)(59, 275, 77, 293)(60, 276, 78, 294)(61, 277, 79, 295)(62, 278, 80, 296)(63, 279, 81, 297)(64, 280, 82, 298)(65, 281, 83, 299)(66, 282, 84, 300)(67, 283, 85, 301)(68, 284, 86, 302)(69, 285, 87, 303)(70, 286, 88, 304)(71, 287, 89, 305)(72, 288, 90, 306)(91, 307, 103, 319)(92, 308, 166, 382)(93, 309, 113, 329)(94, 310, 124, 340)(95, 311, 168, 384)(96, 312, 158, 374)(97, 313, 143, 359)(98, 314, 105, 321)(99, 315, 170, 386)(100, 316, 122, 338)(101, 317, 171, 387)(102, 318, 165, 381)(104, 320, 154, 370)(106, 322, 160, 376)(107, 323, 173, 389)(108, 324, 177, 393)(109, 325, 175, 391)(110, 326, 179, 395)(111, 327, 157, 373)(112, 328, 189, 405)(114, 330, 193, 409)(115, 331, 181, 397)(116, 332, 188, 404)(117, 333, 183, 399)(118, 334, 190, 406)(119, 335, 192, 408)(120, 336, 186, 402)(121, 337, 167, 383)(123, 339, 199, 415)(125, 341, 164, 380)(126, 342, 148, 364)(127, 343, 194, 410)(128, 344, 156, 372)(129, 345, 153, 369)(130, 346, 204, 420)(131, 347, 145, 361)(132, 348, 197, 413)(133, 349, 144, 360)(134, 350, 205, 421)(135, 351, 141, 357)(136, 352, 139, 355)(137, 353, 202, 418)(138, 354, 140, 356)(142, 358, 150, 366)(146, 362, 159, 375)(147, 363, 201, 417)(149, 365, 209, 425)(151, 367, 206, 422)(152, 368, 211, 427)(155, 371, 196, 412)(161, 377, 172, 388)(162, 378, 213, 429)(163, 379, 210, 426)(169, 385, 216, 432)(174, 390, 200, 416)(176, 392, 195, 411)(178, 394, 208, 424)(180, 396, 212, 428)(182, 398, 198, 414)(184, 400, 187, 403)(185, 401, 203, 419)(191, 407, 214, 430)(207, 423, 215, 431)(433, 649, 435, 651, 436, 652)(434, 650, 437, 653, 438, 654)(439, 655, 443, 659, 444, 660)(440, 656, 445, 661, 446, 662)(441, 657, 447, 663, 448, 664)(442, 658, 449, 665, 450, 666)(451, 667, 459, 675, 460, 676)(452, 668, 461, 677, 462, 678)(453, 669, 463, 679, 464, 680)(454, 670, 465, 681, 466, 682)(455, 671, 467, 683, 468, 684)(456, 672, 469, 685, 470, 686)(457, 673, 471, 687, 472, 688)(458, 674, 473, 689, 474, 690)(475, 691, 487, 703, 488, 704)(476, 692, 479, 695, 489, 705)(477, 693, 490, 706, 491, 707)(478, 694, 492, 708, 493, 709)(480, 696, 494, 710, 495, 711)(481, 697, 496, 712, 497, 713)(482, 698, 485, 701, 498, 714)(483, 699, 499, 715, 500, 716)(484, 700, 501, 717, 502, 718)(486, 702, 503, 719, 504, 720)(505, 721, 523, 739, 524, 740)(506, 722, 508, 724, 525, 741)(507, 723, 526, 742, 527, 743)(509, 725, 528, 744, 529, 745)(510, 726, 530, 746, 531, 747)(511, 727, 512, 728, 532, 748)(513, 729, 533, 749, 534, 750)(514, 730, 586, 802, 647, 863)(515, 731, 517, 733, 589, 805)(516, 732, 588, 804, 581, 797)(518, 734, 590, 806, 568, 784)(519, 735, 592, 808, 602, 818)(520, 736, 521, 737, 580, 796)(522, 738, 595, 811, 547, 763)(535, 751, 605, 821, 606, 822)(536, 752, 607, 823, 608, 824)(537, 753, 609, 825, 610, 826)(538, 754, 611, 827, 612, 828)(539, 755, 613, 829, 614, 830)(540, 756, 615, 831, 616, 832)(541, 757, 597, 813, 617, 833)(542, 758, 618, 834, 619, 835)(543, 759, 620, 836, 594, 810)(544, 760, 622, 838, 623, 839)(545, 761, 624, 840, 584, 800)(546, 762, 599, 815, 601, 817)(548, 764, 626, 842, 627, 843)(549, 765, 575, 791, 628, 844)(550, 766, 629, 845, 630, 846)(551, 767, 631, 847, 632, 848)(552, 768, 571, 787, 633, 849)(553, 769, 634, 850, 635, 851)(554, 770, 636, 852, 569, 785)(555, 771, 577, 793, 604, 820)(556, 772, 621, 837, 598, 814)(557, 773, 576, 792, 578, 794)(558, 774, 637, 853, 564, 780)(559, 775, 573, 789, 638, 854)(560, 776, 625, 841, 639, 855)(561, 777, 572, 788, 574, 790)(562, 778, 596, 812, 640, 856)(563, 779, 641, 857, 642, 858)(565, 781, 643, 859, 587, 803)(566, 782, 585, 801, 644, 860)(567, 783, 600, 816, 603, 819)(570, 786, 645, 861, 579, 795)(582, 798, 646, 862, 583, 799)(591, 807, 648, 864, 593, 809)
	L = (1, 434)(2, 433)(3, 439)(4, 440)(5, 441)(6, 442)(7, 435)(8, 436)(9, 437)(10, 438)(11, 451)(12, 452)(13, 453)(14, 454)(15, 455)(16, 456)(17, 457)(18, 458)(19, 443)(20, 444)(21, 445)(22, 446)(23, 447)(24, 448)(25, 449)(26, 450)(27, 475)(28, 476)(29, 469)(30, 477)(31, 478)(32, 472)(33, 479)(34, 480)(35, 481)(36, 482)(37, 461)(38, 483)(39, 484)(40, 464)(41, 485)(42, 486)(43, 459)(44, 460)(45, 462)(46, 463)(47, 465)(48, 466)(49, 467)(50, 468)(51, 470)(52, 471)(53, 473)(54, 474)(55, 505)(56, 506)(57, 507)(58, 508)(59, 509)(60, 510)(61, 511)(62, 512)(63, 513)(64, 514)(65, 515)(66, 516)(67, 517)(68, 518)(69, 519)(70, 520)(71, 521)(72, 522)(73, 487)(74, 488)(75, 489)(76, 490)(77, 491)(78, 492)(79, 493)(80, 494)(81, 495)(82, 496)(83, 497)(84, 498)(85, 499)(86, 500)(87, 501)(88, 502)(89, 503)(90, 504)(91, 535)(92, 598)(93, 545)(94, 556)(95, 600)(96, 590)(97, 575)(98, 537)(99, 602)(100, 554)(101, 603)(102, 597)(103, 523)(104, 586)(105, 530)(106, 592)(107, 605)(108, 609)(109, 607)(110, 611)(111, 589)(112, 621)(113, 525)(114, 625)(115, 613)(116, 620)(117, 615)(118, 622)(119, 624)(120, 618)(121, 599)(122, 532)(123, 631)(124, 526)(125, 596)(126, 580)(127, 626)(128, 588)(129, 585)(130, 636)(131, 577)(132, 629)(133, 576)(134, 637)(135, 573)(136, 571)(137, 634)(138, 572)(139, 568)(140, 570)(141, 567)(142, 582)(143, 529)(144, 565)(145, 563)(146, 591)(147, 633)(148, 558)(149, 641)(150, 574)(151, 638)(152, 643)(153, 561)(154, 536)(155, 628)(156, 560)(157, 543)(158, 528)(159, 578)(160, 538)(161, 604)(162, 645)(163, 642)(164, 557)(165, 534)(166, 524)(167, 553)(168, 527)(169, 648)(170, 531)(171, 533)(172, 593)(173, 539)(174, 632)(175, 541)(176, 627)(177, 540)(178, 640)(179, 542)(180, 644)(181, 547)(182, 630)(183, 549)(184, 619)(185, 635)(186, 552)(187, 616)(188, 548)(189, 544)(190, 550)(191, 646)(192, 551)(193, 546)(194, 559)(195, 608)(196, 587)(197, 564)(198, 614)(199, 555)(200, 606)(201, 579)(202, 569)(203, 617)(204, 562)(205, 566)(206, 583)(207, 647)(208, 610)(209, 581)(210, 595)(211, 584)(212, 612)(213, 594)(214, 623)(215, 639)(216, 601)(217, 649)(218, 650)(219, 651)(220, 652)(221, 653)(222, 654)(223, 655)(224, 656)(225, 657)(226, 658)(227, 659)(228, 660)(229, 661)(230, 662)(231, 663)(232, 664)(233, 665)(234, 666)(235, 667)(236, 668)(237, 669)(238, 670)(239, 671)(240, 672)(241, 673)(242, 674)(243, 675)(244, 676)(245, 677)(246, 678)(247, 679)(248, 680)(249, 681)(250, 682)(251, 683)(252, 684)(253, 685)(254, 686)(255, 687)(256, 688)(257, 689)(258, 690)(259, 691)(260, 692)(261, 693)(262, 694)(263, 695)(264, 696)(265, 697)(266, 698)(267, 699)(268, 700)(269, 701)(270, 702)(271, 703)(272, 704)(273, 705)(274, 706)(275, 707)(276, 708)(277, 709)(278, 710)(279, 711)(280, 712)(281, 713)(282, 714)(283, 715)(284, 716)(285, 717)(286, 718)(287, 719)(288, 720)(289, 721)(290, 722)(291, 723)(292, 724)(293, 725)(294, 726)(295, 727)(296, 728)(297, 729)(298, 730)(299, 731)(300, 732)(301, 733)(302, 734)(303, 735)(304, 736)(305, 737)(306, 738)(307, 739)(308, 740)(309, 741)(310, 742)(311, 743)(312, 744)(313, 745)(314, 746)(315, 747)(316, 748)(317, 749)(318, 750)(319, 751)(320, 752)(321, 753)(322, 754)(323, 755)(324, 756)(325, 757)(326, 758)(327, 759)(328, 760)(329, 761)(330, 762)(331, 763)(332, 764)(333, 765)(334, 766)(335, 767)(336, 768)(337, 769)(338, 770)(339, 771)(340, 772)(341, 773)(342, 774)(343, 775)(344, 776)(345, 777)(346, 778)(347, 779)(348, 780)(349, 781)(350, 782)(351, 783)(352, 784)(353, 785)(354, 786)(355, 787)(356, 788)(357, 789)(358, 790)(359, 791)(360, 792)(361, 793)(362, 794)(363, 795)(364, 796)(365, 797)(366, 798)(367, 799)(368, 800)(369, 801)(370, 802)(371, 803)(372, 804)(373, 805)(374, 806)(375, 807)(376, 808)(377, 809)(378, 810)(379, 811)(380, 812)(381, 813)(382, 814)(383, 815)(384, 816)(385, 817)(386, 818)(387, 819)(388, 820)(389, 821)(390, 822)(391, 823)(392, 824)(393, 825)(394, 826)(395, 827)(396, 828)(397, 829)(398, 830)(399, 831)(400, 832)(401, 833)(402, 834)(403, 835)(404, 836)(405, 837)(406, 838)(407, 839)(408, 840)(409, 841)(410, 842)(411, 843)(412, 844)(413, 845)(414, 846)(415, 847)(416, 848)(417, 849)(418, 850)(419, 851)(420, 852)(421, 853)(422, 854)(423, 855)(424, 856)(425, 857)(426, 858)(427, 859)(428, 860)(429, 861)(430, 862)(431, 863)(432, 864)
	local type(s) :: { ( 2, 24, 2, 24 ), ( 2, 24, 2, 24, 2, 24 ) }
Outer automorphisms :: reflexible
Dual of E10.948
Graph:: bipartite
	v = 180 e = 432 f = 234
	degree seq :: [ 4^108, 6^72 ]

E10.946 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 12})
Quotient :: dipole
Aut^+ = ((C6 x C6) : C3) : C2 (small group id <216, 92>)
Aut   = $<432, 523>$ (small group id <432, 523>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, Y1^3, (Y2 * Y1)^2, (Y3^-1 * Y1^-1)^2, (R * Y1)^2, (R * Y3)^2, (Y2^2 * Y1^-1)^3, Y2 * Y1^-1 * Y2^-2 * Y1 * Y2^-1 * Y1 * Y2^2 * Y1^-1, Y2^12, Y1^-1 * Y2^3 * Y1 * Y2^-1 * Y1 * Y2^-2 * Y1^-1 * Y2^2 * Y1^-1 ]
Map::
	R = (1, 217, 2, 218, 4, 220)(3, 219, 8, 224, 10, 226)(5, 221, 12, 228, 6, 222)(7, 223, 15, 231, 11, 227)(9, 225, 18, 234, 20, 236)(13, 229, 25, 241, 23, 239)(14, 230, 24, 240, 28, 244)(16, 232, 31, 247, 29, 245)(17, 233, 33, 249, 21, 237)(19, 235, 36, 252, 38, 254)(22, 238, 30, 246, 42, 258)(26, 242, 47, 263, 45, 261)(27, 243, 49, 265, 51, 267)(32, 248, 56, 272, 55, 271)(34, 250, 59, 275, 58, 274)(35, 251, 53, 269, 39, 255)(37, 253, 63, 279, 65, 281)(40, 256, 52, 268, 44, 260)(41, 257, 68, 284, 70, 286)(43, 259, 46, 262, 54, 270)(48, 264, 76, 292, 74, 290)(50, 266, 79, 295, 81, 297)(57, 273, 87, 303, 85, 301)(60, 276, 91, 307, 90, 306)(61, 277, 93, 309, 82, 298)(62, 278, 89, 305, 66, 282)(64, 280, 97, 313, 99, 315)(67, 283, 72, 288, 102, 318)(69, 285, 104, 320, 106, 322)(71, 287, 83, 299, 108, 324)(73, 289, 75, 291, 78, 294)(77, 293, 114, 330, 112, 328)(80, 296, 117, 333, 119, 335)(84, 300, 86, 302, 103, 319)(88, 304, 127, 343, 125, 341)(92, 308, 132, 348, 130, 346)(94, 310, 124, 340, 126, 342)(95, 311, 135, 351, 128, 344)(96, 312, 121, 337, 100, 316)(98, 314, 139, 355, 140, 356)(101, 317, 120, 336, 116, 332)(105, 321, 145, 361, 146, 362)(107, 323, 147, 363, 144, 360)(109, 325, 129, 345, 131, 347)(110, 326, 115, 331, 151, 367)(111, 327, 113, 329, 122, 338)(118, 334, 158, 374, 159, 375)(123, 339, 143, 359, 164, 380)(133, 349, 173, 389, 171, 387)(134, 350, 174, 390, 165, 381)(136, 352, 170, 386, 172, 388)(137, 353, 177, 393, 161, 377)(138, 354, 168, 384, 141, 357)(142, 358, 156, 372, 182, 398)(148, 364, 184, 400, 188, 404)(149, 365, 189, 405, 169, 385)(150, 366, 160, 376, 157, 373)(152, 368, 162, 378, 192, 408)(153, 369, 154, 370, 155, 371)(163, 379, 186, 402, 185, 401)(166, 382, 167, 383, 183, 399)(175, 391, 198, 414, 197, 413)(176, 392, 207, 423, 203, 419)(178, 394, 200, 416, 206, 422)(179, 395, 193, 409, 194, 410)(180, 396, 199, 415, 181, 397)(187, 403, 204, 420, 205, 421)(190, 406, 196, 412, 201, 417)(191, 407, 212, 428, 211, 427)(195, 411, 202, 418, 210, 426)(208, 424, 213, 429, 216, 432)(209, 425, 215, 431, 214, 430)(433, 649, 435, 651, 441, 657, 451, 667, 469, 685, 496, 712, 530, 746, 509, 725, 480, 696, 458, 674, 445, 661, 437, 653)(434, 650, 438, 654, 446, 662, 459, 675, 482, 698, 512, 728, 550, 766, 520, 736, 489, 705, 464, 680, 448, 664, 439, 655)(436, 652, 443, 659, 454, 670, 473, 689, 501, 717, 537, 753, 565, 781, 524, 740, 492, 708, 466, 682, 449, 665, 440, 656)(442, 658, 453, 669, 472, 688, 499, 715, 533, 749, 574, 790, 607, 823, 566, 782, 526, 742, 493, 709, 467, 683, 450, 666)(444, 660, 455, 671, 475, 691, 503, 719, 539, 755, 580, 796, 619, 835, 581, 797, 541, 757, 504, 720, 476, 692, 456, 672)(447, 663, 461, 677, 485, 701, 514, 730, 553, 769, 593, 809, 631, 847, 594, 810, 554, 770, 515, 731, 486, 702, 462, 678)(452, 668, 471, 687, 463, 679, 487, 703, 516, 732, 555, 771, 595, 811, 608, 824, 568, 784, 527, 743, 494, 710, 468, 684)(457, 673, 477, 693, 505, 721, 542, 758, 582, 798, 622, 838, 615, 831, 575, 791, 535, 751, 500, 716, 474, 690, 478, 694)(460, 676, 484, 700, 465, 681, 490, 706, 521, 737, 560, 776, 600, 816, 626, 842, 587, 803, 547, 763, 510, 726, 481, 697)(470, 686, 498, 714, 491, 707, 522, 738, 561, 777, 601, 817, 634, 850, 640, 856, 610, 826, 569, 785, 528, 744, 495, 711)(479, 695, 506, 722, 543, 759, 584, 800, 623, 839, 645, 861, 627, 843, 588, 804, 548, 764, 511, 727, 483, 699, 507, 723)(488, 704, 517, 733, 556, 772, 597, 813, 632, 848, 648, 864, 643, 859, 616, 832, 576, 792, 536, 752, 502, 718, 518, 734)(497, 713, 532, 748, 525, 741, 558, 774, 519, 735, 557, 773, 598, 814, 633, 849, 641, 857, 611, 827, 570, 786, 529, 745)(508, 724, 544, 760, 585, 801, 625, 841, 646, 862, 639, 855, 617, 833, 577, 793, 538, 754, 579, 795, 540, 756, 545, 761)(513, 729, 552, 768, 534, 750, 563, 779, 523, 739, 562, 778, 602, 818, 635, 851, 647, 863, 628, 844, 589, 805, 549, 765)(531, 747, 573, 789, 567, 783, 604, 820, 564, 780, 603, 819, 636, 852, 620, 836, 644, 860, 624, 840, 612, 828, 571, 787)(546, 762, 572, 788, 613, 829, 609, 825, 638, 854, 606, 822, 629, 845, 590, 806, 551, 767, 592, 808, 583, 799, 586, 802)(559, 775, 591, 807, 630, 846, 614, 830, 642, 858, 621, 837, 637, 853, 605, 821, 578, 794, 618, 834, 596, 812, 599, 815)
	L = (1, 435)(2, 438)(3, 441)(4, 443)(5, 433)(6, 446)(7, 434)(8, 436)(9, 451)(10, 453)(11, 454)(12, 455)(13, 437)(14, 459)(15, 461)(16, 439)(17, 440)(18, 442)(19, 469)(20, 471)(21, 472)(22, 473)(23, 475)(24, 444)(25, 477)(26, 445)(27, 482)(28, 484)(29, 485)(30, 447)(31, 487)(32, 448)(33, 490)(34, 449)(35, 450)(36, 452)(37, 496)(38, 498)(39, 463)(40, 499)(41, 501)(42, 478)(43, 503)(44, 456)(45, 505)(46, 457)(47, 506)(48, 458)(49, 460)(50, 512)(51, 507)(52, 465)(53, 514)(54, 462)(55, 516)(56, 517)(57, 464)(58, 521)(59, 522)(60, 466)(61, 467)(62, 468)(63, 470)(64, 530)(65, 532)(66, 491)(67, 533)(68, 474)(69, 537)(70, 518)(71, 539)(72, 476)(73, 542)(74, 543)(75, 479)(76, 544)(77, 480)(78, 481)(79, 483)(80, 550)(81, 552)(82, 553)(83, 486)(84, 555)(85, 556)(86, 488)(87, 557)(88, 489)(89, 560)(90, 561)(91, 562)(92, 492)(93, 558)(94, 493)(95, 494)(96, 495)(97, 497)(98, 509)(99, 573)(100, 525)(101, 574)(102, 563)(103, 500)(104, 502)(105, 565)(106, 579)(107, 580)(108, 545)(109, 504)(110, 582)(111, 584)(112, 585)(113, 508)(114, 572)(115, 510)(116, 511)(117, 513)(118, 520)(119, 592)(120, 534)(121, 593)(122, 515)(123, 595)(124, 597)(125, 598)(126, 519)(127, 591)(128, 600)(129, 601)(130, 602)(131, 523)(132, 603)(133, 524)(134, 526)(135, 604)(136, 527)(137, 528)(138, 529)(139, 531)(140, 613)(141, 567)(142, 607)(143, 535)(144, 536)(145, 538)(146, 618)(147, 540)(148, 619)(149, 541)(150, 622)(151, 586)(152, 623)(153, 625)(154, 546)(155, 547)(156, 548)(157, 549)(158, 551)(159, 630)(160, 583)(161, 631)(162, 554)(163, 608)(164, 599)(165, 632)(166, 633)(167, 559)(168, 626)(169, 634)(170, 635)(171, 636)(172, 564)(173, 578)(174, 629)(175, 566)(176, 568)(177, 638)(178, 569)(179, 570)(180, 571)(181, 609)(182, 642)(183, 575)(184, 576)(185, 577)(186, 596)(187, 581)(188, 644)(189, 637)(190, 615)(191, 645)(192, 612)(193, 646)(194, 587)(195, 588)(196, 589)(197, 590)(198, 614)(199, 594)(200, 648)(201, 641)(202, 640)(203, 647)(204, 620)(205, 605)(206, 606)(207, 617)(208, 610)(209, 611)(210, 621)(211, 616)(212, 624)(213, 627)(214, 639)(215, 628)(216, 643)(217, 649)(218, 650)(219, 651)(220, 652)(221, 653)(222, 654)(223, 655)(224, 656)(225, 657)(226, 658)(227, 659)(228, 660)(229, 661)(230, 662)(231, 663)(232, 664)(233, 665)(234, 666)(235, 667)(236, 668)(237, 669)(238, 670)(239, 671)(240, 672)(241, 673)(242, 674)(243, 675)(244, 676)(245, 677)(246, 678)(247, 679)(248, 680)(249, 681)(250, 682)(251, 683)(252, 684)(253, 685)(254, 686)(255, 687)(256, 688)(257, 689)(258, 690)(259, 691)(260, 692)(261, 693)(262, 694)(263, 695)(264, 696)(265, 697)(266, 698)(267, 699)(268, 700)(269, 701)(270, 702)(271, 703)(272, 704)(273, 705)(274, 706)(275, 707)(276, 708)(277, 709)(278, 710)(279, 711)(280, 712)(281, 713)(282, 714)(283, 715)(284, 716)(285, 717)(286, 718)(287, 719)(288, 720)(289, 721)(290, 722)(291, 723)(292, 724)(293, 725)(294, 726)(295, 727)(296, 728)(297, 729)(298, 730)(299, 731)(300, 732)(301, 733)(302, 734)(303, 735)(304, 736)(305, 737)(306, 738)(307, 739)(308, 740)(309, 741)(310, 742)(311, 743)(312, 744)(313, 745)(314, 746)(315, 747)(316, 748)(317, 749)(318, 750)(319, 751)(320, 752)(321, 753)(322, 754)(323, 755)(324, 756)(325, 757)(326, 758)(327, 759)(328, 760)(329, 761)(330, 762)(331, 763)(332, 764)(333, 765)(334, 766)(335, 767)(336, 768)(337, 769)(338, 770)(339, 771)(340, 772)(341, 773)(342, 774)(343, 775)(344, 776)(345, 777)(346, 778)(347, 779)(348, 780)(349, 781)(350, 782)(351, 783)(352, 784)(353, 785)(354, 786)(355, 787)(356, 788)(357, 789)(358, 790)(359, 791)(360, 792)(361, 793)(362, 794)(363, 795)(364, 796)(365, 797)(366, 798)(367, 799)(368, 800)(369, 801)(370, 802)(371, 803)(372, 804)(373, 805)(374, 806)(375, 807)(376, 808)(377, 809)(378, 810)(379, 811)(380, 812)(381, 813)(382, 814)(383, 815)(384, 816)(385, 817)(386, 818)(387, 819)(388, 820)(389, 821)(390, 822)(391, 823)(392, 824)(393, 825)(394, 826)(395, 827)(396, 828)(397, 829)(398, 830)(399, 831)(400, 832)(401, 833)(402, 834)(403, 835)(404, 836)(405, 837)(406, 838)(407, 839)(408, 840)(409, 841)(410, 842)(411, 843)(412, 844)(413, 845)(414, 846)(415, 847)(416, 848)(417, 849)(418, 850)(419, 851)(420, 852)(421, 853)(422, 854)(423, 855)(424, 856)(425, 857)(426, 858)(427, 859)(428, 860)(429, 861)(430, 862)(431, 863)(432, 864)
	local type(s) :: { ( 2, 4, 2, 4, 2, 4 ), ( 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4 ) }
Outer automorphisms :: reflexible
Dual of E10.947
Graph:: bipartite
	v = 90 e = 432 f = 324
	degree seq :: [ 6^72, 24^18 ]

E10.947 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 12})
Quotient :: dipole
Aut^+ = ((C6 x C6) : C3) : C2 (small group id <216, 92>)
Aut   = $<432, 523>$ (small group id <432, 523>)
|r| :: 2
Presentation :: [ Y1, Y2^2, R^2, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, (Y3^-1 * Y2)^3, Y3^-3 * Y2 * Y3^-2 * Y2 * Y3 * Y2 * Y3^-2 * Y2, (Y3^2 * Y2 * Y3^-5 * Y2)^2, (Y3^-1 * Y1^-1)^12 ]
Map:: polytopal
	R = (1, 217)(2, 218)(3, 219)(4, 220)(5, 221)(6, 222)(7, 223)(8, 224)(9, 225)(10, 226)(11, 227)(12, 228)(13, 229)(14, 230)(15, 231)(16, 232)(17, 233)(18, 234)(19, 235)(20, 236)(21, 237)(22, 238)(23, 239)(24, 240)(25, 241)(26, 242)(27, 243)(28, 244)(29, 245)(30, 246)(31, 247)(32, 248)(33, 249)(34, 250)(35, 251)(36, 252)(37, 253)(38, 254)(39, 255)(40, 256)(41, 257)(42, 258)(43, 259)(44, 260)(45, 261)(46, 262)(47, 263)(48, 264)(49, 265)(50, 266)(51, 267)(52, 268)(53, 269)(54, 270)(55, 271)(56, 272)(57, 273)(58, 274)(59, 275)(60, 276)(61, 277)(62, 278)(63, 279)(64, 280)(65, 281)(66, 282)(67, 283)(68, 284)(69, 285)(70, 286)(71, 287)(72, 288)(73, 289)(74, 290)(75, 291)(76, 292)(77, 293)(78, 294)(79, 295)(80, 296)(81, 297)(82, 298)(83, 299)(84, 300)(85, 301)(86, 302)(87, 303)(88, 304)(89, 305)(90, 306)(91, 307)(92, 308)(93, 309)(94, 310)(95, 311)(96, 312)(97, 313)(98, 314)(99, 315)(100, 316)(101, 317)(102, 318)(103, 319)(104, 320)(105, 321)(106, 322)(107, 323)(108, 324)(109, 325)(110, 326)(111, 327)(112, 328)(113, 329)(114, 330)(115, 331)(116, 332)(117, 333)(118, 334)(119, 335)(120, 336)(121, 337)(122, 338)(123, 339)(124, 340)(125, 341)(126, 342)(127, 343)(128, 344)(129, 345)(130, 346)(131, 347)(132, 348)(133, 349)(134, 350)(135, 351)(136, 352)(137, 353)(138, 354)(139, 355)(140, 356)(141, 357)(142, 358)(143, 359)(144, 360)(145, 361)(146, 362)(147, 363)(148, 364)(149, 365)(150, 366)(151, 367)(152, 368)(153, 369)(154, 370)(155, 371)(156, 372)(157, 373)(158, 374)(159, 375)(160, 376)(161, 377)(162, 378)(163, 379)(164, 380)(165, 381)(166, 382)(167, 383)(168, 384)(169, 385)(170, 386)(171, 387)(172, 388)(173, 389)(174, 390)(175, 391)(176, 392)(177, 393)(178, 394)(179, 395)(180, 396)(181, 397)(182, 398)(183, 399)(184, 400)(185, 401)(186, 402)(187, 403)(188, 404)(189, 405)(190, 406)(191, 407)(192, 408)(193, 409)(194, 410)(195, 411)(196, 412)(197, 413)(198, 414)(199, 415)(200, 416)(201, 417)(202, 418)(203, 419)(204, 420)(205, 421)(206, 422)(207, 423)(208, 424)(209, 425)(210, 426)(211, 427)(212, 428)(213, 429)(214, 430)(215, 431)(216, 432)(433, 649, 434, 650)(435, 651, 439, 655)(436, 652, 441, 657)(437, 653, 443, 659)(438, 654, 445, 661)(440, 656, 448, 664)(442, 658, 451, 667)(444, 660, 454, 670)(446, 662, 457, 673)(447, 663, 459, 675)(449, 665, 462, 678)(450, 666, 464, 680)(452, 668, 467, 683)(453, 669, 469, 685)(455, 671, 472, 688)(456, 672, 474, 690)(458, 674, 477, 693)(460, 676, 480, 696)(461, 677, 482, 698)(463, 679, 485, 701)(465, 681, 488, 704)(466, 682, 490, 706)(468, 684, 493, 709)(470, 686, 496, 712)(471, 687, 498, 714)(473, 689, 501, 717)(475, 691, 504, 720)(476, 692, 506, 722)(478, 694, 509, 725)(479, 695, 495, 711)(481, 697, 512, 728)(483, 699, 507, 723)(484, 700, 515, 731)(486, 702, 518, 734)(487, 703, 503, 719)(489, 705, 521, 737)(491, 707, 499, 715)(492, 708, 524, 740)(494, 710, 527, 743)(497, 713, 529, 745)(500, 716, 532, 748)(502, 718, 535, 751)(505, 721, 538, 754)(508, 724, 541, 757)(510, 726, 544, 760)(511, 727, 545, 761)(513, 729, 548, 764)(514, 730, 550, 766)(516, 732, 546, 762)(517, 733, 553, 769)(519, 735, 556, 772)(520, 736, 557, 773)(522, 738, 560, 776)(523, 739, 562, 778)(525, 741, 558, 774)(526, 742, 565, 781)(528, 744, 568, 784)(530, 746, 571, 787)(531, 747, 573, 789)(533, 749, 569, 785)(534, 750, 576, 792)(536, 752, 579, 795)(537, 753, 580, 796)(539, 755, 583, 799)(540, 756, 585, 801)(542, 758, 581, 797)(543, 759, 588, 804)(547, 763, 570, 786)(549, 765, 593, 809)(551, 767, 589, 805)(552, 768, 595, 811)(554, 770, 586, 802)(555, 771, 598, 814)(559, 775, 582, 798)(561, 777, 603, 819)(563, 779, 577, 793)(564, 780, 605, 821)(566, 782, 574, 790)(567, 783, 600, 816)(572, 788, 611, 827)(575, 791, 613, 829)(578, 794, 616, 832)(584, 800, 621, 837)(587, 803, 623, 839)(590, 806, 618, 834)(591, 807, 627, 843)(592, 808, 628, 844)(594, 810, 617, 833)(596, 812, 629, 845)(597, 813, 631, 847)(599, 815, 612, 828)(601, 817, 634, 850)(602, 818, 635, 851)(604, 820, 626, 842)(606, 822, 636, 852)(607, 823, 633, 849)(608, 824, 622, 838)(609, 825, 638, 854)(610, 826, 639, 855)(614, 830, 640, 856)(615, 831, 642, 858)(619, 835, 645, 861)(620, 836, 646, 862)(624, 840, 647, 863)(625, 841, 644, 860)(630, 846, 641, 857)(632, 848, 648, 864)(637, 853, 643, 859)
	L = (1, 435)(2, 437)(3, 440)(4, 433)(5, 444)(6, 434)(7, 445)(8, 449)(9, 450)(10, 436)(11, 441)(12, 455)(13, 456)(14, 438)(15, 439)(16, 459)(17, 463)(18, 465)(19, 466)(20, 442)(21, 443)(22, 469)(23, 473)(24, 475)(25, 476)(26, 446)(27, 479)(28, 447)(29, 448)(30, 482)(31, 486)(32, 451)(33, 489)(34, 491)(35, 492)(36, 452)(37, 495)(38, 453)(39, 454)(40, 498)(41, 502)(42, 457)(43, 505)(44, 507)(45, 508)(46, 458)(47, 496)(48, 511)(49, 460)(50, 506)(51, 461)(52, 462)(53, 515)(54, 519)(55, 464)(56, 503)(57, 522)(58, 467)(59, 523)(60, 525)(61, 526)(62, 468)(63, 480)(64, 528)(65, 470)(66, 490)(67, 471)(68, 472)(69, 532)(70, 536)(71, 474)(72, 487)(73, 539)(74, 477)(75, 540)(76, 542)(77, 543)(78, 478)(79, 546)(80, 547)(81, 481)(82, 483)(83, 545)(84, 484)(85, 485)(86, 553)(87, 494)(88, 488)(89, 557)(90, 561)(91, 563)(92, 493)(93, 564)(94, 566)(95, 567)(96, 569)(97, 570)(98, 497)(99, 499)(100, 568)(101, 500)(102, 501)(103, 576)(104, 510)(105, 504)(106, 580)(107, 584)(108, 586)(109, 509)(110, 587)(111, 589)(112, 590)(113, 512)(114, 591)(115, 571)(116, 592)(117, 513)(118, 588)(119, 514)(120, 516)(121, 585)(122, 517)(123, 518)(124, 598)(125, 524)(126, 520)(127, 521)(128, 582)(129, 572)(130, 573)(131, 604)(132, 606)(133, 527)(134, 607)(135, 608)(136, 529)(137, 609)(138, 548)(139, 610)(140, 530)(141, 565)(142, 531)(143, 533)(144, 562)(145, 534)(146, 535)(147, 616)(148, 541)(149, 537)(150, 538)(151, 559)(152, 549)(153, 550)(154, 622)(155, 624)(156, 544)(157, 625)(158, 626)(159, 612)(160, 629)(161, 630)(162, 551)(163, 628)(164, 552)(165, 554)(166, 627)(167, 555)(168, 556)(169, 558)(170, 560)(171, 635)(172, 619)(173, 634)(174, 614)(175, 637)(176, 631)(177, 594)(178, 640)(179, 641)(180, 574)(181, 639)(182, 575)(183, 577)(184, 638)(185, 578)(186, 579)(187, 581)(188, 583)(189, 646)(190, 601)(191, 645)(192, 596)(193, 648)(194, 642)(195, 595)(196, 593)(197, 643)(198, 603)(199, 644)(200, 597)(201, 599)(202, 600)(203, 605)(204, 602)(205, 647)(206, 613)(207, 611)(208, 632)(209, 621)(210, 633)(211, 615)(212, 617)(213, 618)(214, 623)(215, 620)(216, 636)(217, 649)(218, 650)(219, 651)(220, 652)(221, 653)(222, 654)(223, 655)(224, 656)(225, 657)(226, 658)(227, 659)(228, 660)(229, 661)(230, 662)(231, 663)(232, 664)(233, 665)(234, 666)(235, 667)(236, 668)(237, 669)(238, 670)(239, 671)(240, 672)(241, 673)(242, 674)(243, 675)(244, 676)(245, 677)(246, 678)(247, 679)(248, 680)(249, 681)(250, 682)(251, 683)(252, 684)(253, 685)(254, 686)(255, 687)(256, 688)(257, 689)(258, 690)(259, 691)(260, 692)(261, 693)(262, 694)(263, 695)(264, 696)(265, 697)(266, 698)(267, 699)(268, 700)(269, 701)(270, 702)(271, 703)(272, 704)(273, 705)(274, 706)(275, 707)(276, 708)(277, 709)(278, 710)(279, 711)(280, 712)(281, 713)(282, 714)(283, 715)(284, 716)(285, 717)(286, 718)(287, 719)(288, 720)(289, 721)(290, 722)(291, 723)(292, 724)(293, 725)(294, 726)(295, 727)(296, 728)(297, 729)(298, 730)(299, 731)(300, 732)(301, 733)(302, 734)(303, 735)(304, 736)(305, 737)(306, 738)(307, 739)(308, 740)(309, 741)(310, 742)(311, 743)(312, 744)(313, 745)(314, 746)(315, 747)(316, 748)(317, 749)(318, 750)(319, 751)(320, 752)(321, 753)(322, 754)(323, 755)(324, 756)(325, 757)(326, 758)(327, 759)(328, 760)(329, 761)(330, 762)(331, 763)(332, 764)(333, 765)(334, 766)(335, 767)(336, 768)(337, 769)(338, 770)(339, 771)(340, 772)(341, 773)(342, 774)(343, 775)(344, 776)(345, 777)(346, 778)(347, 779)(348, 780)(349, 781)(350, 782)(351, 783)(352, 784)(353, 785)(354, 786)(355, 787)(356, 788)(357, 789)(358, 790)(359, 791)(360, 792)(361, 793)(362, 794)(363, 795)(364, 796)(365, 797)(366, 798)(367, 799)(368, 800)(369, 801)(370, 802)(371, 803)(372, 804)(373, 805)(374, 806)(375, 807)(376, 808)(377, 809)(378, 810)(379, 811)(380, 812)(381, 813)(382, 814)(383, 815)(384, 816)(385, 817)(386, 818)(387, 819)(388, 820)(389, 821)(390, 822)(391, 823)(392, 824)(393, 825)(394, 826)(395, 827)(396, 828)(397, 829)(398, 830)(399, 831)(400, 832)(401, 833)(402, 834)(403, 835)(404, 836)(405, 837)(406, 838)(407, 839)(408, 840)(409, 841)(410, 842)(411, 843)(412, 844)(413, 845)(414, 846)(415, 847)(416, 848)(417, 849)(418, 850)(419, 851)(420, 852)(421, 853)(422, 854)(423, 855)(424, 856)(425, 857)(426, 858)(427, 859)(428, 860)(429, 861)(430, 862)(431, 863)(432, 864)
	local type(s) :: { ( 6, 24 ), ( 6, 24, 6, 24 ) }
Outer automorphisms :: reflexible
Dual of E10.946
Graph:: simple bipartite
	v = 324 e = 432 f = 90
	degree seq :: [ 2^216, 4^108 ]

E10.948 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 12})
Quotient :: dipole
Aut^+ = ((C6 x C6) : C3) : C2 (small group id <216, 92>)
Aut   = $<432, 523>$ (small group id <432, 523>)
|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, (Y1 * Y3)^3, Y3 * Y1^-1 * Y3 * Y1^-1 * Y3^-1 * Y1^-1, Y3 * Y1^-2 * Y3 * Y1 * Y3^-1 * Y1^-1 * Y3 * Y1 * Y3^-1 * Y1^-2, Y1^12, Y3^-1 * Y1 * Y3^-1 * Y1^-3 * Y3 * Y1^2 * Y3 * Y1^4 * Y3^-1 * Y1^-1, Y3 * Y1^5 * Y3 * Y1^-2 * Y3^-1 * Y1^5 * Y3^-1 * Y1^-2 ]
Map:: polytopal
	R = (1, 217, 2, 218, 5, 221, 11, 227, 21, 237, 37, 253, 63, 279, 62, 278, 36, 252, 20, 236, 10, 226, 4, 220)(3, 219, 7, 223, 15, 231, 27, 243, 47, 263, 79, 295, 113, 329, 87, 303, 54, 270, 31, 247, 17, 233, 8, 224)(6, 222, 13, 229, 25, 241, 43, 259, 73, 289, 107, 323, 150, 366, 112, 328, 78, 294, 46, 262, 26, 242, 14, 230)(9, 225, 18, 234, 32, 248, 55, 271, 88, 304, 125, 341, 166, 382, 120, 336, 84, 300, 51, 267, 29, 245, 16, 232)(12, 228, 23, 239, 41, 257, 69, 285, 103, 319, 145, 361, 187, 403, 149, 365, 106, 322, 72, 288, 42, 258, 24, 240)(19, 235, 34, 250, 58, 274, 91, 307, 130, 346, 172, 388, 192, 408, 154, 370, 109, 325, 74, 290, 57, 273, 33, 249)(22, 238, 39, 255, 67, 283, 53, 269, 85, 301, 121, 337, 167, 383, 186, 402, 144, 360, 102, 318, 68, 284, 40, 256)(28, 244, 49, 265, 70, 286, 45, 261, 76, 292, 101, 317, 142, 358, 179, 395, 165, 381, 118, 334, 83, 299, 50, 266)(30, 246, 52, 268, 71, 287, 104, 320, 140, 356, 181, 397, 171, 387, 129, 345, 90, 306, 56, 272, 75, 291, 44, 260)(35, 251, 60, 276, 92, 308, 132, 348, 173, 389, 199, 415, 163, 379, 117, 333, 82, 298, 48, 264, 81, 297, 59, 275)(38, 254, 65, 281, 99, 315, 77, 293, 110, 326, 155, 371, 193, 409, 209, 425, 183, 399, 141, 357, 100, 316, 66, 282)(61, 277, 94, 310, 133, 349, 175, 391, 205, 421, 211, 427, 191, 407, 151, 367, 128, 344, 89, 305, 127, 343, 93, 309)(64, 280, 97, 313, 138, 354, 105, 321, 147, 363, 124, 340, 168, 384, 202, 418, 206, 422, 180, 396, 139, 355, 98, 314)(80, 296, 115, 331, 146, 362, 119, 335, 156, 372, 111, 327, 157, 373, 185, 401, 210, 426, 197, 413, 162, 378, 116, 332)(86, 302, 123, 339, 148, 364, 188, 404, 208, 424, 204, 420, 170, 386, 126, 342, 153, 369, 108, 324, 152, 368, 122, 338)(95, 311, 135, 351, 176, 392, 182, 398, 207, 423, 189, 405, 161, 377, 114, 330, 160, 376, 131, 347, 164, 380, 134, 350)(96, 312, 136, 352, 177, 393, 143, 359, 184, 400, 158, 374, 194, 410, 169, 385, 203, 419, 174, 390, 178, 394, 137, 353)(159, 375, 195, 411, 212, 428, 198, 414, 216, 432, 200, 416, 214, 430, 190, 406, 213, 429, 201, 417, 215, 431, 196, 412)(433, 649)(434, 650)(435, 651)(436, 652)(437, 653)(438, 654)(439, 655)(440, 656)(441, 657)(442, 658)(443, 659)(444, 660)(445, 661)(446, 662)(447, 663)(448, 664)(449, 665)(450, 666)(451, 667)(452, 668)(453, 669)(454, 670)(455, 671)(456, 672)(457, 673)(458, 674)(459, 675)(460, 676)(461, 677)(462, 678)(463, 679)(464, 680)(465, 681)(466, 682)(467, 683)(468, 684)(469, 685)(470, 686)(471, 687)(472, 688)(473, 689)(474, 690)(475, 691)(476, 692)(477, 693)(478, 694)(479, 695)(480, 696)(481, 697)(482, 698)(483, 699)(484, 700)(485, 701)(486, 702)(487, 703)(488, 704)(489, 705)(490, 706)(491, 707)(492, 708)(493, 709)(494, 710)(495, 711)(496, 712)(497, 713)(498, 714)(499, 715)(500, 716)(501, 717)(502, 718)(503, 719)(504, 720)(505, 721)(506, 722)(507, 723)(508, 724)(509, 725)(510, 726)(511, 727)(512, 728)(513, 729)(514, 730)(515, 731)(516, 732)(517, 733)(518, 734)(519, 735)(520, 736)(521, 737)(522, 738)(523, 739)(524, 740)(525, 741)(526, 742)(527, 743)(528, 744)(529, 745)(530, 746)(531, 747)(532, 748)(533, 749)(534, 750)(535, 751)(536, 752)(537, 753)(538, 754)(539, 755)(540, 756)(541, 757)(542, 758)(543, 759)(544, 760)(545, 761)(546, 762)(547, 763)(548, 764)(549, 765)(550, 766)(551, 767)(552, 768)(553, 769)(554, 770)(555, 771)(556, 772)(557, 773)(558, 774)(559, 775)(560, 776)(561, 777)(562, 778)(563, 779)(564, 780)(565, 781)(566, 782)(567, 783)(568, 784)(569, 785)(570, 786)(571, 787)(572, 788)(573, 789)(574, 790)(575, 791)(576, 792)(577, 793)(578, 794)(579, 795)(580, 796)(581, 797)(582, 798)(583, 799)(584, 800)(585, 801)(586, 802)(587, 803)(588, 804)(589, 805)(590, 806)(591, 807)(592, 808)(593, 809)(594, 810)(595, 811)(596, 812)(597, 813)(598, 814)(599, 815)(600, 816)(601, 817)(602, 818)(603, 819)(604, 820)(605, 821)(606, 822)(607, 823)(608, 824)(609, 825)(610, 826)(611, 827)(612, 828)(613, 829)(614, 830)(615, 831)(616, 832)(617, 833)(618, 834)(619, 835)(620, 836)(621, 837)(622, 838)(623, 839)(624, 840)(625, 841)(626, 842)(627, 843)(628, 844)(629, 845)(630, 846)(631, 847)(632, 848)(633, 849)(634, 850)(635, 851)(636, 852)(637, 853)(638, 854)(639, 855)(640, 856)(641, 857)(642, 858)(643, 859)(644, 860)(645, 861)(646, 862)(647, 863)(648, 864)
	L = (1, 435)(2, 438)(3, 433)(4, 441)(5, 444)(6, 434)(7, 448)(8, 445)(9, 436)(10, 451)(11, 454)(12, 437)(13, 440)(14, 455)(15, 460)(16, 439)(17, 462)(18, 465)(19, 442)(20, 467)(21, 470)(22, 443)(23, 446)(24, 471)(25, 476)(26, 477)(27, 480)(28, 447)(29, 481)(30, 449)(31, 485)(32, 488)(33, 450)(34, 491)(35, 452)(36, 493)(37, 496)(38, 453)(39, 456)(40, 497)(41, 502)(42, 503)(43, 506)(44, 457)(45, 458)(46, 509)(47, 512)(48, 459)(49, 461)(50, 513)(51, 501)(52, 499)(53, 463)(54, 518)(55, 521)(56, 464)(57, 507)(58, 515)(59, 466)(60, 525)(61, 468)(62, 527)(63, 528)(64, 469)(65, 472)(66, 529)(67, 484)(68, 533)(69, 483)(70, 473)(71, 474)(72, 537)(73, 540)(74, 475)(75, 489)(76, 531)(77, 478)(78, 543)(79, 546)(80, 479)(81, 482)(82, 547)(83, 490)(84, 551)(85, 554)(86, 486)(87, 556)(88, 558)(89, 487)(90, 559)(91, 563)(92, 561)(93, 492)(94, 566)(95, 494)(96, 495)(97, 498)(98, 568)(99, 508)(100, 572)(101, 500)(102, 575)(103, 578)(104, 570)(105, 504)(106, 580)(107, 583)(108, 505)(109, 584)(110, 588)(111, 510)(112, 590)(113, 591)(114, 511)(115, 514)(116, 592)(117, 577)(118, 596)(119, 516)(120, 587)(121, 586)(122, 517)(123, 579)(124, 519)(125, 601)(126, 520)(127, 522)(128, 585)(129, 524)(130, 594)(131, 523)(132, 606)(133, 597)(134, 526)(135, 569)(136, 530)(137, 567)(138, 536)(139, 611)(140, 532)(141, 614)(142, 609)(143, 534)(144, 617)(145, 549)(146, 535)(147, 555)(148, 538)(149, 621)(150, 622)(151, 539)(152, 541)(153, 560)(154, 553)(155, 552)(156, 542)(157, 616)(158, 544)(159, 545)(160, 548)(161, 627)(162, 562)(163, 630)(164, 550)(165, 565)(166, 632)(167, 633)(168, 628)(169, 557)(170, 635)(171, 610)(172, 634)(173, 636)(174, 564)(175, 612)(176, 613)(177, 574)(178, 603)(179, 571)(180, 607)(181, 608)(182, 573)(183, 640)(184, 589)(185, 576)(186, 643)(187, 644)(188, 639)(189, 581)(190, 582)(191, 645)(192, 647)(193, 648)(194, 646)(195, 593)(196, 600)(197, 638)(198, 595)(199, 641)(200, 598)(201, 599)(202, 604)(203, 602)(204, 605)(205, 642)(206, 629)(207, 620)(208, 615)(209, 631)(210, 637)(211, 618)(212, 619)(213, 623)(214, 626)(215, 624)(216, 625)(217, 649)(218, 650)(219, 651)(220, 652)(221, 653)(222, 654)(223, 655)(224, 656)(225, 657)(226, 658)(227, 659)(228, 660)(229, 661)(230, 662)(231, 663)(232, 664)(233, 665)(234, 666)(235, 667)(236, 668)(237, 669)(238, 670)(239, 671)(240, 672)(241, 673)(242, 674)(243, 675)(244, 676)(245, 677)(246, 678)(247, 679)(248, 680)(249, 681)(250, 682)(251, 683)(252, 684)(253, 685)(254, 686)(255, 687)(256, 688)(257, 689)(258, 690)(259, 691)(260, 692)(261, 693)(262, 694)(263, 695)(264, 696)(265, 697)(266, 698)(267, 699)(268, 700)(269, 701)(270, 702)(271, 703)(272, 704)(273, 705)(274, 706)(275, 707)(276, 708)(277, 709)(278, 710)(279, 711)(280, 712)(281, 713)(282, 714)(283, 715)(284, 716)(285, 717)(286, 718)(287, 719)(288, 720)(289, 721)(290, 722)(291, 723)(292, 724)(293, 725)(294, 726)(295, 727)(296, 728)(297, 729)(298, 730)(299, 731)(300, 732)(301, 733)(302, 734)(303, 735)(304, 736)(305, 737)(306, 738)(307, 739)(308, 740)(309, 741)(310, 742)(311, 743)(312, 744)(313, 745)(314, 746)(315, 747)(316, 748)(317, 749)(318, 750)(319, 751)(320, 752)(321, 753)(322, 754)(323, 755)(324, 756)(325, 757)(326, 758)(327, 759)(328, 760)(329, 761)(330, 762)(331, 763)(332, 764)(333, 765)(334, 766)(335, 767)(336, 768)(337, 769)(338, 770)(339, 771)(340, 772)(341, 773)(342, 774)(343, 775)(344, 776)(345, 777)(346, 778)(347, 779)(348, 780)(349, 781)(350, 782)(351, 783)(352, 784)(353, 785)(354, 786)(355, 787)(356, 788)(357, 789)(358, 790)(359, 791)(360, 792)(361, 793)(362, 794)(363, 795)(364, 796)(365, 797)(366, 798)(367, 799)(368, 800)(369, 801)(370, 802)(371, 803)(372, 804)(373, 805)(374, 806)(375, 807)(376, 808)(377, 809)(378, 810)(379, 811)(380, 812)(381, 813)(382, 814)(383, 815)(384, 816)(385, 817)(386, 818)(387, 819)(388, 820)(389, 821)(390, 822)(391, 823)(392, 824)(393, 825)(394, 826)(395, 827)(396, 828)(397, 829)(398, 830)(399, 831)(400, 832)(401, 833)(402, 834)(403, 835)(404, 836)(405, 837)(406, 838)(407, 839)(408, 840)(409, 841)(410, 842)(411, 843)(412, 844)(413, 845)(414, 846)(415, 847)(416, 848)(417, 849)(418, 850)(419, 851)(420, 852)(421, 853)(422, 854)(423, 855)(424, 856)(425, 857)(426, 858)(427, 859)(428, 860)(429, 861)(430, 862)(431, 863)(432, 864)
	local type(s) :: { ( 4, 6 ), ( 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 E10.945
Graph:: simple bipartite
	v = 234 e = 432 f = 180
	degree seq :: [ 2^216, 24^18 ]

E10.949 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 12})
Quotient :: dipole
Aut^+ = ((C6 x C6) : C3) : C2 (small group id <216, 92>)
Aut   = $<432, 523>$ (small group id <432, 523>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, (Y1 * Y2^-1)^3, (Y3 * Y2^-1)^3, (Y2^-3 * Y1)^3, Y2^12, (Y2^2 * Y1 * Y2^-5 * Y1)^2 ]
Map::
	R = (1, 217, 2, 218)(3, 219, 7, 223)(4, 220, 9, 225)(5, 221, 11, 227)(6, 222, 13, 229)(8, 224, 16, 232)(10, 226, 19, 235)(12, 228, 22, 238)(14, 230, 25, 241)(15, 231, 27, 243)(17, 233, 30, 246)(18, 234, 32, 248)(20, 236, 35, 251)(21, 237, 37, 253)(23, 239, 40, 256)(24, 240, 42, 258)(26, 242, 45, 261)(28, 244, 48, 264)(29, 245, 50, 266)(31, 247, 53, 269)(33, 249, 56, 272)(34, 250, 58, 274)(36, 252, 61, 277)(38, 254, 64, 280)(39, 255, 66, 282)(41, 257, 69, 285)(43, 259, 72, 288)(44, 260, 74, 290)(46, 262, 77, 293)(47, 263, 63, 279)(49, 265, 80, 296)(51, 267, 75, 291)(52, 268, 83, 299)(54, 270, 86, 302)(55, 271, 71, 287)(57, 273, 89, 305)(59, 275, 67, 283)(60, 276, 92, 308)(62, 278, 95, 311)(65, 281, 97, 313)(68, 284, 100, 316)(70, 286, 103, 319)(73, 289, 106, 322)(76, 292, 109, 325)(78, 294, 112, 328)(79, 295, 113, 329)(81, 297, 116, 332)(82, 298, 118, 334)(84, 300, 114, 330)(85, 301, 121, 337)(87, 303, 124, 340)(88, 304, 125, 341)(90, 306, 128, 344)(91, 307, 130, 346)(93, 309, 126, 342)(94, 310, 133, 349)(96, 312, 136, 352)(98, 314, 139, 355)(99, 315, 141, 357)(101, 317, 137, 353)(102, 318, 144, 360)(104, 320, 147, 363)(105, 321, 148, 364)(107, 323, 151, 367)(108, 324, 153, 369)(110, 326, 149, 365)(111, 327, 156, 372)(115, 331, 138, 354)(117, 333, 161, 377)(119, 335, 157, 373)(120, 336, 163, 379)(122, 338, 154, 370)(123, 339, 166, 382)(127, 343, 150, 366)(129, 345, 171, 387)(131, 347, 145, 361)(132, 348, 173, 389)(134, 350, 142, 358)(135, 351, 168, 384)(140, 356, 179, 395)(143, 359, 181, 397)(146, 362, 184, 400)(152, 368, 189, 405)(155, 371, 191, 407)(158, 374, 186, 402)(159, 375, 195, 411)(160, 376, 196, 412)(162, 378, 185, 401)(164, 380, 197, 413)(165, 381, 199, 415)(167, 383, 180, 396)(169, 385, 202, 418)(170, 386, 203, 419)(172, 388, 194, 410)(174, 390, 204, 420)(175, 391, 201, 417)(176, 392, 190, 406)(177, 393, 206, 422)(178, 394, 207, 423)(182, 398, 208, 424)(183, 399, 210, 426)(187, 403, 213, 429)(188, 404, 214, 430)(192, 408, 215, 431)(193, 409, 212, 428)(198, 414, 209, 425)(200, 416, 216, 432)(205, 421, 211, 427)(433, 649, 435, 651, 440, 656, 449, 665, 463, 679, 486, 702, 519, 735, 494, 710, 468, 684, 452, 668, 442, 658, 436, 652)(434, 650, 437, 653, 444, 660, 455, 671, 473, 689, 502, 718, 536, 752, 510, 726, 478, 694, 458, 674, 446, 662, 438, 654)(439, 655, 445, 661, 456, 672, 475, 691, 505, 721, 539, 755, 584, 800, 549, 765, 513, 729, 481, 697, 460, 676, 447, 663)(441, 657, 450, 666, 465, 681, 489, 705, 522, 738, 561, 777, 572, 788, 530, 746, 497, 713, 470, 686, 453, 669, 443, 659)(448, 664, 459, 675, 479, 695, 496, 712, 528, 744, 569, 785, 609, 825, 594, 810, 551, 767, 514, 730, 483, 699, 461, 677)(451, 667, 466, 682, 491, 707, 523, 739, 563, 779, 604, 820, 619, 835, 581, 797, 537, 753, 504, 720, 487, 703, 464, 680)(454, 670, 469, 685, 495, 711, 480, 696, 511, 727, 546, 762, 591, 807, 612, 828, 574, 790, 531, 747, 499, 715, 471, 687)(457, 673, 476, 692, 507, 723, 540, 756, 586, 802, 622, 838, 601, 817, 558, 774, 520, 736, 488, 704, 503, 719, 474, 690)(462, 678, 482, 698, 506, 722, 477, 693, 508, 724, 542, 758, 587, 803, 624, 840, 596, 812, 552, 768, 516, 732, 484, 700)(467, 683, 492, 708, 525, 741, 564, 780, 606, 822, 614, 830, 575, 791, 533, 749, 500, 716, 472, 688, 498, 714, 490, 706)(485, 701, 515, 731, 545, 761, 512, 728, 547, 763, 571, 787, 610, 826, 640, 856, 632, 848, 597, 813, 554, 770, 517, 733)(493, 709, 526, 742, 566, 782, 607, 823, 637, 853, 647, 863, 620, 836, 583, 799, 559, 775, 521, 737, 557, 773, 524, 740)(501, 717, 532, 748, 568, 784, 529, 745, 570, 786, 548, 764, 592, 808, 629, 845, 643, 859, 615, 831, 577, 793, 534, 750)(509, 725, 543, 759, 589, 805, 625, 841, 648, 864, 636, 852, 602, 818, 560, 776, 582, 798, 538, 754, 580, 796, 541, 757)(518, 734, 553, 769, 585, 801, 550, 766, 588, 804, 544, 760, 590, 806, 626, 842, 642, 858, 633, 849, 599, 815, 555, 771)(527, 743, 567, 783, 608, 824, 631, 847, 644, 860, 617, 833, 578, 794, 535, 751, 576, 792, 562, 778, 573, 789, 565, 781)(556, 772, 598, 814, 627, 843, 595, 811, 628, 844, 593, 809, 630, 846, 603, 819, 635, 851, 605, 821, 634, 850, 600, 816)(579, 795, 616, 832, 638, 854, 613, 829, 639, 855, 611, 827, 641, 857, 621, 837, 646, 862, 623, 839, 645, 861, 618, 834)
	L = (1, 434)(2, 433)(3, 439)(4, 441)(5, 443)(6, 445)(7, 435)(8, 448)(9, 436)(10, 451)(11, 437)(12, 454)(13, 438)(14, 457)(15, 459)(16, 440)(17, 462)(18, 464)(19, 442)(20, 467)(21, 469)(22, 444)(23, 472)(24, 474)(25, 446)(26, 477)(27, 447)(28, 480)(29, 482)(30, 449)(31, 485)(32, 450)(33, 488)(34, 490)(35, 452)(36, 493)(37, 453)(38, 496)(39, 498)(40, 455)(41, 501)(42, 456)(43, 504)(44, 506)(45, 458)(46, 509)(47, 495)(48, 460)(49, 512)(50, 461)(51, 507)(52, 515)(53, 463)(54, 518)(55, 503)(56, 465)(57, 521)(58, 466)(59, 499)(60, 524)(61, 468)(62, 527)(63, 479)(64, 470)(65, 529)(66, 471)(67, 491)(68, 532)(69, 473)(70, 535)(71, 487)(72, 475)(73, 538)(74, 476)(75, 483)(76, 541)(77, 478)(78, 544)(79, 545)(80, 481)(81, 548)(82, 550)(83, 484)(84, 546)(85, 553)(86, 486)(87, 556)(88, 557)(89, 489)(90, 560)(91, 562)(92, 492)(93, 558)(94, 565)(95, 494)(96, 568)(97, 497)(98, 571)(99, 573)(100, 500)(101, 569)(102, 576)(103, 502)(104, 579)(105, 580)(106, 505)(107, 583)(108, 585)(109, 508)(110, 581)(111, 588)(112, 510)(113, 511)(114, 516)(115, 570)(116, 513)(117, 593)(118, 514)(119, 589)(120, 595)(121, 517)(122, 586)(123, 598)(124, 519)(125, 520)(126, 525)(127, 582)(128, 522)(129, 603)(130, 523)(131, 577)(132, 605)(133, 526)(134, 574)(135, 600)(136, 528)(137, 533)(138, 547)(139, 530)(140, 611)(141, 531)(142, 566)(143, 613)(144, 534)(145, 563)(146, 616)(147, 536)(148, 537)(149, 542)(150, 559)(151, 539)(152, 621)(153, 540)(154, 554)(155, 623)(156, 543)(157, 551)(158, 618)(159, 627)(160, 628)(161, 549)(162, 617)(163, 552)(164, 629)(165, 631)(166, 555)(167, 612)(168, 567)(169, 634)(170, 635)(171, 561)(172, 626)(173, 564)(174, 636)(175, 633)(176, 622)(177, 638)(178, 639)(179, 572)(180, 599)(181, 575)(182, 640)(183, 642)(184, 578)(185, 594)(186, 590)(187, 645)(188, 646)(189, 584)(190, 608)(191, 587)(192, 647)(193, 644)(194, 604)(195, 591)(196, 592)(197, 596)(198, 641)(199, 597)(200, 648)(201, 607)(202, 601)(203, 602)(204, 606)(205, 643)(206, 609)(207, 610)(208, 614)(209, 630)(210, 615)(211, 637)(212, 625)(213, 619)(214, 620)(215, 624)(216, 632)(217, 649)(218, 650)(219, 651)(220, 652)(221, 653)(222, 654)(223, 655)(224, 656)(225, 657)(226, 658)(227, 659)(228, 660)(229, 661)(230, 662)(231, 663)(232, 664)(233, 665)(234, 666)(235, 667)(236, 668)(237, 669)(238, 670)(239, 671)(240, 672)(241, 673)(242, 674)(243, 675)(244, 676)(245, 677)(246, 678)(247, 679)(248, 680)(249, 681)(250, 682)(251, 683)(252, 684)(253, 685)(254, 686)(255, 687)(256, 688)(257, 689)(258, 690)(259, 691)(260, 692)(261, 693)(262, 694)(263, 695)(264, 696)(265, 697)(266, 698)(267, 699)(268, 700)(269, 701)(270, 702)(271, 703)(272, 704)(273, 705)(274, 706)(275, 707)(276, 708)(277, 709)(278, 710)(279, 711)(280, 712)(281, 713)(282, 714)(283, 715)(284, 716)(285, 717)(286, 718)(287, 719)(288, 720)(289, 721)(290, 722)(291, 723)(292, 724)(293, 725)(294, 726)(295, 727)(296, 728)(297, 729)(298, 730)(299, 731)(300, 732)(301, 733)(302, 734)(303, 735)(304, 736)(305, 737)(306, 738)(307, 739)(308, 740)(309, 741)(310, 742)(311, 743)(312, 744)(313, 745)(314, 746)(315, 747)(316, 748)(317, 749)(318, 750)(319, 751)(320, 752)(321, 753)(322, 754)(323, 755)(324, 756)(325, 757)(326, 758)(327, 759)(328, 760)(329, 761)(330, 762)(331, 763)(332, 764)(333, 765)(334, 766)(335, 767)(336, 768)(337, 769)(338, 770)(339, 771)(340, 772)(341, 773)(342, 774)(343, 775)(344, 776)(345, 777)(346, 778)(347, 779)(348, 780)(349, 781)(350, 782)(351, 783)(352, 784)(353, 785)(354, 786)(355, 787)(356, 788)(357, 789)(358, 790)(359, 791)(360, 792)(361, 793)(362, 794)(363, 795)(364, 796)(365, 797)(366, 798)(367, 799)(368, 800)(369, 801)(370, 802)(371, 803)(372, 804)(373, 805)(374, 806)(375, 807)(376, 808)(377, 809)(378, 810)(379, 811)(380, 812)(381, 813)(382, 814)(383, 815)(384, 816)(385, 817)(386, 818)(387, 819)(388, 820)(389, 821)(390, 822)(391, 823)(392, 824)(393, 825)(394, 826)(395, 827)(396, 828)(397, 829)(398, 830)(399, 831)(400, 832)(401, 833)(402, 834)(403, 835)(404, 836)(405, 837)(406, 838)(407, 839)(408, 840)(409, 841)(410, 842)(411, 843)(412, 844)(413, 845)(414, 846)(415, 847)(416, 848)(417, 849)(418, 850)(419, 851)(420, 852)(421, 853)(422, 854)(423, 855)(424, 856)(425, 857)(426, 858)(427, 859)(428, 860)(429, 861)(430, 862)(431, 863)(432, 864)
	local type(s) :: { ( 2, 6, 2, 6 ), ( 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6 ) }
Outer automorphisms :: reflexible
Dual of E10.950
Graph:: bipartite
	v = 126 e = 432 f = 288
	degree seq :: [ 4^108, 24^18 ]

E10.950 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 12})
Quotient :: dipole
Aut^+ = ((C6 x C6) : C3) : C2 (small group id <216, 92>)
Aut   = $<432, 523>$ (small group id <432, 523>)
|r| :: 2
Presentation :: [ Y2, R^2, Y1^3, (R * Y3)^2, (R * Y1)^2, (Y3 * Y1)^2, (R * Y2 * Y3^-1)^2, (Y3^2 * Y1^-1)^3, Y1^-1 * Y3^3 * Y1 * Y3^-1 * Y1 * Y3^-2 * Y1^-1 * Y3^2 * Y1^-1, Y3 * Y1^-1 * Y3^-2 * Y1 * Y3^-1 * Y1 * Y3^-10 * Y1^-1, (Y3 * Y2^-1)^12 ]
Map:: polytopal
	R = (1, 217, 2, 218, 4, 220)(3, 219, 8, 224, 10, 226)(5, 221, 12, 228, 6, 222)(7, 223, 15, 231, 11, 227)(9, 225, 18, 234, 20, 236)(13, 229, 25, 241, 23, 239)(14, 230, 24, 240, 28, 244)(16, 232, 31, 247, 29, 245)(17, 233, 33, 249, 21, 237)(19, 235, 36, 252, 38, 254)(22, 238, 30, 246, 42, 258)(26, 242, 47, 263, 45, 261)(27, 243, 49, 265, 51, 267)(32, 248, 56, 272, 55, 271)(34, 250, 59, 275, 58, 274)(35, 251, 53, 269, 39, 255)(37, 253, 63, 279, 65, 281)(40, 256, 52, 268, 44, 260)(41, 257, 68, 284, 70, 286)(43, 259, 46, 262, 54, 270)(48, 264, 76, 292, 74, 290)(50, 266, 79, 295, 81, 297)(57, 273, 87, 303, 85, 301)(60, 276, 91, 307, 90, 306)(61, 277, 93, 309, 82, 298)(62, 278, 89, 305, 66, 282)(64, 280, 97, 313, 99, 315)(67, 283, 72, 288, 102, 318)(69, 285, 104, 320, 106, 322)(71, 287, 83, 299, 108, 324)(73, 289, 75, 291, 78, 294)(77, 293, 114, 330, 112, 328)(80, 296, 117, 333, 119, 335)(84, 300, 86, 302, 103, 319)(88, 304, 127, 343, 125, 341)(92, 308, 132, 348, 130, 346)(94, 310, 124, 340, 126, 342)(95, 311, 135, 351, 128, 344)(96, 312, 121, 337, 100, 316)(98, 314, 139, 355, 140, 356)(101, 317, 120, 336, 116, 332)(105, 321, 145, 361, 146, 362)(107, 323, 147, 363, 144, 360)(109, 325, 129, 345, 131, 347)(110, 326, 115, 331, 151, 367)(111, 327, 113, 329, 122, 338)(118, 334, 158, 374, 159, 375)(123, 339, 143, 359, 164, 380)(133, 349, 173, 389, 171, 387)(134, 350, 174, 390, 165, 381)(136, 352, 170, 386, 172, 388)(137, 353, 177, 393, 161, 377)(138, 354, 168, 384, 141, 357)(142, 358, 156, 372, 182, 398)(148, 364, 184, 400, 188, 404)(149, 365, 189, 405, 169, 385)(150, 366, 160, 376, 157, 373)(152, 368, 162, 378, 192, 408)(153, 369, 154, 370, 155, 371)(163, 379, 186, 402, 185, 401)(166, 382, 167, 383, 183, 399)(175, 391, 198, 414, 197, 413)(176, 392, 207, 423, 203, 419)(178, 394, 200, 416, 206, 422)(179, 395, 193, 409, 194, 410)(180, 396, 199, 415, 181, 397)(187, 403, 204, 420, 205, 421)(190, 406, 196, 412, 201, 417)(191, 407, 212, 428, 211, 427)(195, 411, 202, 418, 210, 426)(208, 424, 213, 429, 216, 432)(209, 425, 215, 431, 214, 430)(433, 649)(434, 650)(435, 651)(436, 652)(437, 653)(438, 654)(439, 655)(440, 656)(441, 657)(442, 658)(443, 659)(444, 660)(445, 661)(446, 662)(447, 663)(448, 664)(449, 665)(450, 666)(451, 667)(452, 668)(453, 669)(454, 670)(455, 671)(456, 672)(457, 673)(458, 674)(459, 675)(460, 676)(461, 677)(462, 678)(463, 679)(464, 680)(465, 681)(466, 682)(467, 683)(468, 684)(469, 685)(470, 686)(471, 687)(472, 688)(473, 689)(474, 690)(475, 691)(476, 692)(477, 693)(478, 694)(479, 695)(480, 696)(481, 697)(482, 698)(483, 699)(484, 700)(485, 701)(486, 702)(487, 703)(488, 704)(489, 705)(490, 706)(491, 707)(492, 708)(493, 709)(494, 710)(495, 711)(496, 712)(497, 713)(498, 714)(499, 715)(500, 716)(501, 717)(502, 718)(503, 719)(504, 720)(505, 721)(506, 722)(507, 723)(508, 724)(509, 725)(510, 726)(511, 727)(512, 728)(513, 729)(514, 730)(515, 731)(516, 732)(517, 733)(518, 734)(519, 735)(520, 736)(521, 737)(522, 738)(523, 739)(524, 740)(525, 741)(526, 742)(527, 743)(528, 744)(529, 745)(530, 746)(531, 747)(532, 748)(533, 749)(534, 750)(535, 751)(536, 752)(537, 753)(538, 754)(539, 755)(540, 756)(541, 757)(542, 758)(543, 759)(544, 760)(545, 761)(546, 762)(547, 763)(548, 764)(549, 765)(550, 766)(551, 767)(552, 768)(553, 769)(554, 770)(555, 771)(556, 772)(557, 773)(558, 774)(559, 775)(560, 776)(561, 777)(562, 778)(563, 779)(564, 780)(565, 781)(566, 782)(567, 783)(568, 784)(569, 785)(570, 786)(571, 787)(572, 788)(573, 789)(574, 790)(575, 791)(576, 792)(577, 793)(578, 794)(579, 795)(580, 796)(581, 797)(582, 798)(583, 799)(584, 800)(585, 801)(586, 802)(587, 803)(588, 804)(589, 805)(590, 806)(591, 807)(592, 808)(593, 809)(594, 810)(595, 811)(596, 812)(597, 813)(598, 814)(599, 815)(600, 816)(601, 817)(602, 818)(603, 819)(604, 820)(605, 821)(606, 822)(607, 823)(608, 824)(609, 825)(610, 826)(611, 827)(612, 828)(613, 829)(614, 830)(615, 831)(616, 832)(617, 833)(618, 834)(619, 835)(620, 836)(621, 837)(622, 838)(623, 839)(624, 840)(625, 841)(626, 842)(627, 843)(628, 844)(629, 845)(630, 846)(631, 847)(632, 848)(633, 849)(634, 850)(635, 851)(636, 852)(637, 853)(638, 854)(639, 855)(640, 856)(641, 857)(642, 858)(643, 859)(644, 860)(645, 861)(646, 862)(647, 863)(648, 864)
	L = (1, 435)(2, 438)(3, 441)(4, 443)(5, 433)(6, 446)(7, 434)(8, 436)(9, 451)(10, 453)(11, 454)(12, 455)(13, 437)(14, 459)(15, 461)(16, 439)(17, 440)(18, 442)(19, 469)(20, 471)(21, 472)(22, 473)(23, 475)(24, 444)(25, 477)(26, 445)(27, 482)(28, 484)(29, 485)(30, 447)(31, 487)(32, 448)(33, 490)(34, 449)(35, 450)(36, 452)(37, 496)(38, 498)(39, 463)(40, 499)(41, 501)(42, 478)(43, 503)(44, 456)(45, 505)(46, 457)(47, 506)(48, 458)(49, 460)(50, 512)(51, 507)(52, 465)(53, 514)(54, 462)(55, 516)(56, 517)(57, 464)(58, 521)(59, 522)(60, 466)(61, 467)(62, 468)(63, 470)(64, 530)(65, 532)(66, 491)(67, 533)(68, 474)(69, 537)(70, 518)(71, 539)(72, 476)(73, 542)(74, 543)(75, 479)(76, 544)(77, 480)(78, 481)(79, 483)(80, 550)(81, 552)(82, 553)(83, 486)(84, 555)(85, 556)(86, 488)(87, 557)(88, 489)(89, 560)(90, 561)(91, 562)(92, 492)(93, 558)(94, 493)(95, 494)(96, 495)(97, 497)(98, 509)(99, 573)(100, 525)(101, 574)(102, 563)(103, 500)(104, 502)(105, 565)(106, 579)(107, 580)(108, 545)(109, 504)(110, 582)(111, 584)(112, 585)(113, 508)(114, 572)(115, 510)(116, 511)(117, 513)(118, 520)(119, 592)(120, 534)(121, 593)(122, 515)(123, 595)(124, 597)(125, 598)(126, 519)(127, 591)(128, 600)(129, 601)(130, 602)(131, 523)(132, 603)(133, 524)(134, 526)(135, 604)(136, 527)(137, 528)(138, 529)(139, 531)(140, 613)(141, 567)(142, 607)(143, 535)(144, 536)(145, 538)(146, 618)(147, 540)(148, 619)(149, 541)(150, 622)(151, 586)(152, 623)(153, 625)(154, 546)(155, 547)(156, 548)(157, 549)(158, 551)(159, 630)(160, 583)(161, 631)(162, 554)(163, 608)(164, 599)(165, 632)(166, 633)(167, 559)(168, 626)(169, 634)(170, 635)(171, 636)(172, 564)(173, 578)(174, 629)(175, 566)(176, 568)(177, 638)(178, 569)(179, 570)(180, 571)(181, 609)(182, 642)(183, 575)(184, 576)(185, 577)(186, 596)(187, 581)(188, 644)(189, 637)(190, 615)(191, 645)(192, 612)(193, 646)(194, 587)(195, 588)(196, 589)(197, 590)(198, 614)(199, 594)(200, 648)(201, 641)(202, 640)(203, 647)(204, 620)(205, 605)(206, 606)(207, 617)(208, 610)(209, 611)(210, 621)(211, 616)(212, 624)(213, 627)(214, 639)(215, 628)(216, 643)(217, 649)(218, 650)(219, 651)(220, 652)(221, 653)(222, 654)(223, 655)(224, 656)(225, 657)(226, 658)(227, 659)(228, 660)(229, 661)(230, 662)(231, 663)(232, 664)(233, 665)(234, 666)(235, 667)(236, 668)(237, 669)(238, 670)(239, 671)(240, 672)(241, 673)(242, 674)(243, 675)(244, 676)(245, 677)(246, 678)(247, 679)(248, 680)(249, 681)(250, 682)(251, 683)(252, 684)(253, 685)(254, 686)(255, 687)(256, 688)(257, 689)(258, 690)(259, 691)(260, 692)(261, 693)(262, 694)(263, 695)(264, 696)(265, 697)(266, 698)(267, 699)(268, 700)(269, 701)(270, 702)(271, 703)(272, 704)(273, 705)(274, 706)(275, 707)(276, 708)(277, 709)(278, 710)(279, 711)(280, 712)(281, 713)(282, 714)(283, 715)(284, 716)(285, 717)(286, 718)(287, 719)(288, 720)(289, 721)(290, 722)(291, 723)(292, 724)(293, 725)(294, 726)(295, 727)(296, 728)(297, 729)(298, 730)(299, 731)(300, 732)(301, 733)(302, 734)(303, 735)(304, 736)(305, 737)(306, 738)(307, 739)(308, 740)(309, 741)(310, 742)(311, 743)(312, 744)(313, 745)(314, 746)(315, 747)(316, 748)(317, 749)(318, 750)(319, 751)(320, 752)(321, 753)(322, 754)(323, 755)(324, 756)(325, 757)(326, 758)(327, 759)(328, 760)(329, 761)(330, 762)(331, 763)(332, 764)(333, 765)(334, 766)(335, 767)(336, 768)(337, 769)(338, 770)(339, 771)(340, 772)(341, 773)(342, 774)(343, 775)(344, 776)(345, 777)(346, 778)(347, 779)(348, 780)(349, 781)(350, 782)(351, 783)(352, 784)(353, 785)(354, 786)(355, 787)(356, 788)(357, 789)(358, 790)(359, 791)(360, 792)(361, 793)(362, 794)(363, 795)(364, 796)(365, 797)(366, 798)(367, 799)(368, 800)(369, 801)(370, 802)(371, 803)(372, 804)(373, 805)(374, 806)(375, 807)(376, 808)(377, 809)(378, 810)(379, 811)(380, 812)(381, 813)(382, 814)(383, 815)(384, 816)(385, 817)(386, 818)(387, 819)(388, 820)(389, 821)(390, 822)(391, 823)(392, 824)(393, 825)(394, 826)(395, 827)(396, 828)(397, 829)(398, 830)(399, 831)(400, 832)(401, 833)(402, 834)(403, 835)(404, 836)(405, 837)(406, 838)(407, 839)(408, 840)(409, 841)(410, 842)(411, 843)(412, 844)(413, 845)(414, 846)(415, 847)(416, 848)(417, 849)(418, 850)(419, 851)(420, 852)(421, 853)(422, 854)(423, 855)(424, 856)(425, 857)(426, 858)(427, 859)(428, 860)(429, 861)(430, 862)(431, 863)(432, 864)
	local type(s) :: { ( 4, 24 ), ( 4, 24, 4, 24, 4, 24 ) }
Outer automorphisms :: reflexible
Dual of E10.949
Graph:: simple bipartite
	v = 288 e = 432 f = 126
	degree seq :: [ 2^216, 6^72 ]

E10.951 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 3, 9})
Quotient :: regular
Aut^+ = ((C3 x ((C3 x C3) : C2)) : C2) : C3 (small group id <324, 160>)
Aut   = $<648, 703>$ (small group id <648, 703>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, (T1^-1 * T2)^3, T1^9, T2 * T1^2 * T2 * T1^-3 * T2 * T1^-3 * T2 * T1^2 * T2 * T1^-1, (T1^-1 * T2 * T1^4 * T2 * T1^-3)^2 ]
Map:: polyhedral non-degenerate
	R = (1, 2, 5, 11, 21, 36, 20, 10, 4)(3, 7, 15, 27, 46, 53, 31, 17, 8)(6, 13, 25, 42, 69, 74, 45, 26, 14)(9, 18, 32, 54, 86, 81, 50, 29, 16)(12, 23, 40, 65, 103, 108, 68, 41, 24)(19, 34, 57, 91, 140, 139, 90, 56, 33)(22, 38, 63, 99, 153, 158, 102, 64, 39)(28, 48, 78, 121, 184, 187, 124, 79, 49)(30, 51, 82, 127, 190, 172, 112, 71, 43)(35, 59, 94, 145, 208, 207, 144, 93, 58)(37, 61, 97, 149, 213, 218, 152, 98, 62)(44, 72, 113, 173, 238, 229, 162, 105, 66)(47, 76, 119, 154, 220, 246, 183, 120, 77)(52, 84, 130, 157, 223, 255, 194, 129, 83)(55, 88, 136, 200, 262, 253, 191, 137, 89)(60, 96, 148, 211, 272, 271, 210, 147, 95)(67, 106, 163, 230, 285, 279, 221, 155, 100)(70, 110, 169, 214, 267, 204, 141, 170, 111)(73, 115, 176, 217, 263, 201, 138, 175, 114)(75, 117, 179, 242, 293, 276, 245, 180, 118)(80, 125, 164, 107, 165, 232, 249, 186, 122)(85, 132, 196, 256, 304, 284, 228, 195, 131)(87, 134, 161, 104, 160, 227, 261, 199, 135)(92, 142, 205, 268, 310, 298, 247, 206, 143)(101, 156, 222, 280, 314, 312, 274, 215, 150)(109, 167, 235, 185, 248, 299, 289, 236, 168)(116, 178, 241, 291, 269, 297, 278, 240, 177)(123, 174, 239, 202, 264, 308, 277, 219, 181)(126, 189, 251, 296, 273, 237, 171, 231, 188)(128, 192, 254, 303, 283, 226, 159, 225, 193)(133, 197, 258, 305, 281, 224, 282, 259, 198)(146, 209, 270, 311, 323, 318, 294, 243, 182)(151, 216, 275, 313, 324, 321, 306, 260, 212)(166, 234, 287, 266, 203, 265, 309, 286, 233)(244, 295, 307, 322, 316, 315, 292, 288, 257)(250, 300, 319, 302, 252, 301, 320, 317, 290)
	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, 37)(24, 38)(25, 43)(26, 44)(27, 47)(29, 48)(31, 52)(32, 55)(34, 58)(36, 60)(39, 61)(40, 66)(41, 67)(42, 70)(45, 73)(46, 75)(49, 76)(50, 80)(51, 83)(53, 85)(54, 87)(56, 88)(57, 92)(59, 95)(62, 96)(63, 100)(64, 101)(65, 104)(68, 107)(69, 109)(71, 110)(72, 114)(74, 116)(77, 117)(78, 122)(79, 123)(81, 126)(82, 128)(84, 131)(86, 133)(89, 134)(90, 138)(91, 141)(93, 142)(94, 146)(97, 150)(98, 151)(99, 154)(102, 157)(103, 159)(105, 160)(106, 164)(108, 166)(111, 167)(112, 171)(113, 174)(115, 177)(118, 132)(119, 181)(120, 182)(121, 185)(124, 173)(125, 188)(127, 191)(129, 192)(130, 156)(135, 197)(136, 201)(137, 193)(139, 202)(140, 203)(143, 170)(144, 194)(145, 183)(147, 209)(148, 212)(149, 214)(152, 217)(153, 219)(155, 220)(158, 224)(161, 225)(162, 228)(163, 231)(165, 233)(168, 178)(169, 237)(172, 230)(175, 239)(176, 216)(179, 243)(180, 244)(184, 247)(186, 248)(187, 250)(189, 198)(190, 252)(195, 222)(196, 257)(199, 260)(200, 242)(204, 265)(205, 255)(206, 235)(207, 254)(208, 269)(210, 249)(211, 261)(213, 273)(215, 267)(218, 276)(221, 278)(223, 281)(226, 234)(227, 284)(229, 280)(232, 270)(236, 288)(238, 290)(240, 275)(241, 292)(245, 296)(246, 297)(251, 295)(253, 301)(256, 289)(258, 306)(259, 307)(262, 294)(263, 293)(264, 266)(268, 305)(271, 299)(272, 304)(274, 309)(277, 282)(279, 313)(283, 315)(285, 302)(286, 311)(287, 316)(291, 303)(298, 300)(308, 322)(310, 321)(312, 323)(314, 317)(318, 320)(319, 324)
	local type(s) :: { ( 3^9 ) }
Outer automorphisms :: reflexible
Dual of E10.952
Transitivity :: ET+ VT+ AT+ REG+
Graph:: simple
	v = 36 e = 162 f = 108
	degree seq :: [ 9^36 ]

E10.952 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 3, 9})
Quotient :: regular
Aut^+ = ((C3 x ((C3 x C3) : C2)) : C2) : C3 (small group id <324, 160>)
Aut   = $<648, 703>$ (small group id <648, 703>)
|r| :: 2
Presentation :: [ T2^2, F^2, T1^3, (F * T1)^2, (F * T2)^2, (T1^-1 * T2)^9, T2 * T1^-1 * T2 * T1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1 * T2 * T1 * T2 * T1^-1 * T2 * T1 * T2 * T1 * T2 * T1^-1, (T2 * T1 * T2 * T1^-1)^6 ]
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, 138, 139)(100, 140, 141)(101, 142, 143)(102, 144, 145)(103, 146, 147)(104, 148, 149)(105, 150, 151)(106, 152, 123)(124, 167, 168)(125, 156, 169)(126, 164, 170)(127, 171, 172)(128, 173, 174)(129, 158, 175)(130, 176, 177)(131, 178, 179)(132, 161, 180)(133, 181, 182)(134, 165, 183)(135, 184, 185)(136, 186, 187)(137, 188, 189)(153, 199, 200)(154, 191, 201)(155, 196, 202)(157, 203, 204)(159, 205, 206)(160, 207, 208)(162, 209, 210)(163, 197, 211)(166, 212, 213)(190, 230, 231)(192, 232, 233)(193, 234, 235)(194, 236, 237)(195, 238, 239)(198, 240, 241)(214, 223, 255)(215, 228, 256)(216, 257, 258)(217, 259, 260)(218, 261, 262)(219, 263, 251)(220, 229, 264)(221, 265, 266)(222, 267, 268)(224, 269, 270)(225, 271, 272)(226, 273, 274)(227, 275, 276)(242, 250, 286)(243, 253, 287)(244, 288, 289)(245, 290, 291)(246, 292, 283)(247, 254, 293)(248, 294, 295)(249, 296, 297)(252, 298, 299)(277, 282, 309)(278, 284, 303)(279, 285, 304)(280, 310, 311)(281, 312, 300)(301, 305, 317)(302, 318, 319)(306, 308, 320)(307, 321, 315)(313, 314, 323)(316, 324, 322)
	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, 107)(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, 138)(139, 190)(140, 172)(141, 185)(142, 191)(143, 192)(144, 175)(145, 193)(146, 194)(147, 180)(148, 195)(149, 187)(150, 196)(151, 197)(152, 198)(167, 214)(168, 215)(169, 216)(170, 217)(171, 218)(173, 219)(174, 220)(176, 221)(177, 178)(179, 222)(181, 223)(182, 224)(183, 225)(184, 226)(186, 227)(188, 228)(189, 229)(199, 242)(200, 243)(201, 244)(202, 245)(203, 246)(204, 247)(205, 248)(206, 207)(208, 249)(209, 250)(210, 251)(211, 252)(212, 253)(213, 254)(230, 277)(231, 278)(232, 269)(233, 279)(234, 280)(235, 236)(237, 281)(238, 282)(239, 283)(240, 284)(241, 285)(255, 300)(256, 292)(257, 291)(258, 301)(259, 299)(260, 261)(262, 302)(263, 303)(264, 294)(265, 304)(266, 305)(267, 306)(268, 286)(270, 287)(271, 307)(272, 273)(274, 288)(275, 308)(276, 290)(289, 313)(293, 310)(295, 314)(296, 315)(297, 309)(298, 316)(311, 318)(312, 322)(317, 321)(319, 320)(323, 324)
	local type(s) :: { ( 9^3 ) }
Outer automorphisms :: reflexible
Dual of E10.951
Transitivity :: ET+ VT+ AT+ REG+
Graph:: simple
	v = 108 e = 162 f = 36
	degree seq :: [ 3^108 ]

E10.953 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 3, 9})
Quotient :: edge
Aut^+ = ((C3 x ((C3 x C3) : C2)) : C2) : C3 (small group id <324, 160>)
Aut   = $<648, 703>$ (small group id <648, 703>)
|r| :: 2
Presentation :: [ T1^2, F^2, T2^3, (F * T1)^2, (F * T2)^2, (T2^-1 * T1)^9, T1 * T2^-1 * T1 * T2 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2 * T1 * T2 * T1 * T2^-1 * T1 * T2 * T1 * T2 * T1 * T2^-1, (T2 * T1 * T2^-1 * T1)^6 ]
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, 122, 123)(92, 124, 125)(93, 126, 127)(94, 128, 129)(95, 130, 131)(96, 132, 133)(97, 134, 135)(98, 136, 137)(99, 138, 139)(100, 140, 141)(101, 142, 143)(102, 144, 145)(103, 146, 147)(104, 148, 149)(105, 150, 151)(106, 152, 107)(108, 153, 154)(109, 155, 156)(110, 157, 158)(111, 159, 160)(112, 161, 162)(113, 163, 164)(114, 165, 166)(115, 167, 168)(116, 169, 170)(117, 171, 172)(118, 173, 174)(119, 175, 176)(120, 177, 178)(121, 179, 180)(181, 215, 216)(182, 191, 217)(183, 196, 218)(184, 219, 220)(185, 221, 222)(186, 223, 224)(187, 225, 226)(188, 197, 227)(189, 228, 229)(190, 230, 231)(192, 232, 233)(193, 234, 235)(194, 236, 237)(195, 238, 239)(198, 240, 241)(199, 208, 242)(200, 213, 243)(201, 244, 245)(202, 246, 247)(203, 248, 249)(204, 250, 251)(205, 214, 252)(206, 253, 254)(207, 255, 256)(209, 257, 258)(210, 259, 260)(211, 261, 262)(212, 263, 264)(265, 273, 297)(266, 275, 298)(267, 300, 303)(268, 302, 288)(269, 287, 283)(270, 276, 304)(271, 293, 305)(272, 306, 307)(274, 308, 290)(277, 282, 309)(278, 284, 292)(279, 285, 294)(280, 310, 311)(281, 312, 286)(289, 295, 313)(291, 314, 315)(296, 301, 316)(299, 317, 318)(319, 320, 323)(321, 324, 322)(325, 326)(327, 331)(328, 332)(329, 333)(330, 334)(335, 343)(336, 344)(337, 345)(338, 346)(339, 347)(340, 348)(341, 349)(342, 350)(351, 367)(352, 368)(353, 369)(354, 370)(355, 371)(356, 372)(357, 373)(358, 374)(359, 375)(360, 376)(361, 377)(362, 378)(363, 379)(364, 380)(365, 381)(366, 382)(383, 415)(384, 416)(385, 417)(386, 418)(387, 419)(388, 420)(389, 421)(390, 422)(391, 423)(392, 424)(393, 425)(394, 426)(395, 427)(396, 428)(397, 429)(398, 430)(399, 431)(400, 432)(401, 433)(402, 434)(403, 435)(404, 436)(405, 437)(406, 438)(407, 439)(408, 440)(409, 441)(410, 442)(411, 443)(412, 444)(413, 445)(414, 446)(447, 505)(448, 506)(449, 507)(450, 479)(451, 508)(452, 487)(453, 509)(454, 510)(455, 493)(456, 511)(457, 512)(458, 481)(459, 497)(460, 513)(461, 462)(463, 514)(464, 484)(465, 500)(466, 515)(467, 516)(468, 488)(469, 517)(470, 518)(471, 494)(472, 519)(473, 502)(474, 520)(475, 521)(476, 522)(477, 523)(478, 524)(480, 525)(482, 526)(483, 527)(485, 528)(486, 529)(489, 530)(490, 491)(492, 531)(495, 532)(496, 533)(498, 534)(499, 535)(501, 536)(503, 537)(504, 538)(539, 589)(540, 590)(541, 591)(542, 592)(543, 593)(544, 594)(545, 595)(546, 547)(548, 596)(549, 597)(550, 575)(551, 598)(552, 599)(553, 600)(554, 601)(555, 602)(556, 581)(557, 603)(558, 604)(559, 560)(561, 605)(562, 606)(563, 607)(564, 608)(565, 609)(566, 610)(567, 611)(568, 612)(569, 613)(570, 614)(571, 572)(573, 615)(574, 616)(576, 617)(577, 618)(578, 619)(579, 620)(580, 621)(582, 622)(583, 623)(584, 585)(586, 624)(587, 625)(588, 626)(627, 643)(628, 634)(629, 644)(630, 642)(631, 633)(632, 645)(635, 638)(636, 646)(637, 641)(639, 640)(647, 648)
	L = (1, 325)(2, 326)(3, 327)(4, 328)(5, 329)(6, 330)(7, 331)(8, 332)(9, 333)(10, 334)(11, 335)(12, 336)(13, 337)(14, 338)(15, 339)(16, 340)(17, 341)(18, 342)(19, 343)(20, 344)(21, 345)(22, 346)(23, 347)(24, 348)(25, 349)(26, 350)(27, 351)(28, 352)(29, 353)(30, 354)(31, 355)(32, 356)(33, 357)(34, 358)(35, 359)(36, 360)(37, 361)(38, 362)(39, 363)(40, 364)(41, 365)(42, 366)(43, 367)(44, 368)(45, 369)(46, 370)(47, 371)(48, 372)(49, 373)(50, 374)(51, 375)(52, 376)(53, 377)(54, 378)(55, 379)(56, 380)(57, 381)(58, 382)(59, 383)(60, 384)(61, 385)(62, 386)(63, 387)(64, 388)(65, 389)(66, 390)(67, 391)(68, 392)(69, 393)(70, 394)(71, 395)(72, 396)(73, 397)(74, 398)(75, 399)(76, 400)(77, 401)(78, 402)(79, 403)(80, 404)(81, 405)(82, 406)(83, 407)(84, 408)(85, 409)(86, 410)(87, 411)(88, 412)(89, 413)(90, 414)(91, 415)(92, 416)(93, 417)(94, 418)(95, 419)(96, 420)(97, 421)(98, 422)(99, 423)(100, 424)(101, 425)(102, 426)(103, 427)(104, 428)(105, 429)(106, 430)(107, 431)(108, 432)(109, 433)(110, 434)(111, 435)(112, 436)(113, 437)(114, 438)(115, 439)(116, 440)(117, 441)(118, 442)(119, 443)(120, 444)(121, 445)(122, 446)(123, 447)(124, 448)(125, 449)(126, 450)(127, 451)(128, 452)(129, 453)(130, 454)(131, 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, 475)(152, 476)(153, 477)(154, 478)(155, 479)(156, 480)(157, 481)(158, 482)(159, 483)(160, 484)(161, 485)(162, 486)(163, 487)(164, 488)(165, 489)(166, 490)(167, 491)(168, 492)(169, 493)(170, 494)(171, 495)(172, 496)(173, 497)(174, 498)(175, 499)(176, 500)(177, 501)(178, 502)(179, 503)(180, 504)(181, 505)(182, 506)(183, 507)(184, 508)(185, 509)(186, 510)(187, 511)(188, 512)(189, 513)(190, 514)(191, 515)(192, 516)(193, 517)(194, 518)(195, 519)(196, 520)(197, 521)(198, 522)(199, 523)(200, 524)(201, 525)(202, 526)(203, 527)(204, 528)(205, 529)(206, 530)(207, 531)(208, 532)(209, 533)(210, 534)(211, 535)(212, 536)(213, 537)(214, 538)(215, 539)(216, 540)(217, 541)(218, 542)(219, 543)(220, 544)(221, 545)(222, 546)(223, 547)(224, 548)(225, 549)(226, 550)(227, 551)(228, 552)(229, 553)(230, 554)(231, 555)(232, 556)(233, 557)(234, 558)(235, 559)(236, 560)(237, 561)(238, 562)(239, 563)(240, 564)(241, 565)(242, 566)(243, 567)(244, 568)(245, 569)(246, 570)(247, 571)(248, 572)(249, 573)(250, 574)(251, 575)(252, 576)(253, 577)(254, 578)(255, 579)(256, 580)(257, 581)(258, 582)(259, 583)(260, 584)(261, 585)(262, 586)(263, 587)(264, 588)(265, 589)(266, 590)(267, 591)(268, 592)(269, 593)(270, 594)(271, 595)(272, 596)(273, 597)(274, 598)(275, 599)(276, 600)(277, 601)(278, 602)(279, 603)(280, 604)(281, 605)(282, 606)(283, 607)(284, 608)(285, 609)(286, 610)(287, 611)(288, 612)(289, 613)(290, 614)(291, 615)(292, 616)(293, 617)(294, 618)(295, 619)(296, 620)(297, 621)(298, 622)(299, 623)(300, 624)(301, 625)(302, 626)(303, 627)(304, 628)(305, 629)(306, 630)(307, 631)(308, 632)(309, 633)(310, 634)(311, 635)(312, 636)(313, 637)(314, 638)(315, 639)(316, 640)(317, 641)(318, 642)(319, 643)(320, 644)(321, 645)(322, 646)(323, 647)(324, 648)
	local type(s) :: { ( 18, 18 ), ( 18^3 ) }
Outer automorphisms :: reflexible
Dual of E10.957
Transitivity :: ET+
Graph:: simple bipartite
	v = 270 e = 324 f = 36
	degree seq :: [ 2^162, 3^108 ]

E10.954 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 3, 9})
Quotient :: edge
Aut^+ = ((C3 x ((C3 x C3) : C2)) : C2) : C3 (small group id <324, 160>)
Aut   = $<648, 703>$ (small group id <648, 703>)
|r| :: 2
Presentation :: [ F^2, T1^3, (T2^-1 * T1^-1)^2, (F * T2)^2, (F * T1)^2, T2^9, T2^3 * T1^-1 * T2^2 * T1^-1 * T2^-3 * T1 * T2^-2 * T1, (T2^-1 * T1 * T2^-4 * T1 * T2^-2)^2 ]
Map:: polyhedral non-degenerate
	R = (1, 3, 9, 19, 37, 48, 26, 13, 5)(2, 6, 14, 27, 50, 58, 32, 16, 7)(4, 11, 22, 41, 73, 62, 34, 17, 8)(10, 21, 40, 70, 116, 107, 64, 35, 18)(12, 23, 43, 76, 125, 131, 79, 44, 24)(15, 29, 53, 90, 147, 153, 93, 54, 30)(20, 39, 69, 113, 181, 175, 109, 65, 36)(25, 45, 80, 132, 203, 207, 135, 81, 46)(28, 52, 89, 144, 216, 212, 140, 85, 49)(31, 55, 94, 154, 225, 228, 157, 95, 56)(33, 59, 99, 161, 232, 234, 164, 100, 60)(38, 68, 112, 179, 249, 246, 177, 110, 66)(42, 75, 123, 180, 250, 256, 190, 119, 72)(47, 82, 136, 208, 274, 227, 156, 137, 83)(51, 88, 143, 114, 183, 253, 214, 141, 86)(57, 96, 158, 229, 292, 233, 163, 159, 97)(61, 101, 165, 235, 270, 205, 134, 166, 102)(63, 104, 168, 152, 223, 287, 239, 169, 105)(67, 111, 178, 247, 303, 264, 210, 138, 84)(71, 118, 188, 248, 260, 195, 126, 184, 115)(74, 122, 193, 145, 218, 280, 258, 191, 120)(77, 127, 197, 262, 281, 219, 148, 194, 124)(78, 128, 171, 106, 170, 240, 265, 198, 129)(87, 142, 215, 263, 302, 285, 231, 160, 98)(91, 149, 221, 283, 254, 185, 117, 187, 146)(92, 150, 200, 130, 199, 266, 286, 222, 151)(103, 121, 192, 259, 284, 296, 238, 237, 167)(108, 173, 155, 226, 289, 318, 300, 242, 174)(133, 204, 269, 311, 314, 278, 217, 189, 202)(139, 211, 162, 206, 271, 312, 304, 251, 182)(172, 186, 255, 307, 272, 268, 299, 298, 241)(176, 244, 236, 295, 317, 324, 320, 301, 245)(196, 261, 309, 290, 243, 252, 305, 267, 201)(209, 275, 297, 319, 323, 313, 277, 213, 273)(220, 282, 316, 294, 276, 279, 315, 288, 224)(230, 293, 310, 321, 322, 306, 308, 257, 291)(325, 326, 328)(327, 332, 334)(329, 336, 330)(331, 339, 335)(333, 342, 344)(337, 349, 347)(338, 348, 352)(340, 355, 353)(341, 357, 345)(343, 360, 362)(346, 354, 366)(350, 371, 369)(351, 373, 375)(356, 381, 379)(358, 385, 383)(359, 387, 363)(361, 390, 391)(364, 384, 395)(365, 396, 398)(367, 370, 401)(368, 402, 376)(372, 408, 406)(374, 410, 411)(377, 380, 415)(378, 416, 399)(382, 422, 420)(386, 427, 425)(388, 430, 428)(389, 432, 392)(393, 429, 438)(394, 439, 441)(397, 444, 445)(400, 448, 450)(403, 454, 452)(404, 407, 457)(405, 458, 451)(409, 463, 412)(413, 453, 469)(414, 470, 472)(417, 476, 474)(418, 421, 479)(419, 480, 473)(423, 426, 486)(424, 487, 442)(431, 496, 494)(433, 478, 497)(434, 500, 435)(436, 498, 504)(437, 467, 506)(440, 509, 510)(443, 513, 446)(447, 475, 503)(449, 519, 520)(455, 525, 523)(456, 526, 514)(459, 530, 490)(460, 462, 533)(461, 481, 528)(464, 485, 535)(465, 537, 466)(468, 517, 541)(471, 543, 544)(477, 548, 547)(482, 484, 554)(483, 488, 550)(489, 491, 560)(492, 495, 524)(493, 562, 507)(499, 567, 549)(501, 559, 568)(502, 569, 572)(505, 575, 576)(508, 518, 511)(512, 557, 571)(515, 581, 516)(521, 529, 587)(522, 588, 542)(527, 580, 592)(531, 596, 595)(532, 597, 538)(534, 589, 599)(536, 600, 556)(539, 601, 586)(540, 602, 603)(545, 551, 608)(546, 609, 573)(552, 614, 593)(553, 615, 582)(555, 610, 617)(558, 618, 613)(561, 563, 619)(564, 565, 621)(566, 623, 574)(570, 626, 594)(577, 620, 598)(578, 630, 579)(583, 632, 607)(584, 625, 585)(590, 591, 634)(604, 627, 616)(605, 637, 606)(611, 612, 641)(622, 624, 643)(628, 645, 629)(631, 646, 636)(633, 644, 635)(638, 648, 639)(640, 647, 642)
	L = (1, 325)(2, 326)(3, 327)(4, 328)(5, 329)(6, 330)(7, 331)(8, 332)(9, 333)(10, 334)(11, 335)(12, 336)(13, 337)(14, 338)(15, 339)(16, 340)(17, 341)(18, 342)(19, 343)(20, 344)(21, 345)(22, 346)(23, 347)(24, 348)(25, 349)(26, 350)(27, 351)(28, 352)(29, 353)(30, 354)(31, 355)(32, 356)(33, 357)(34, 358)(35, 359)(36, 360)(37, 361)(38, 362)(39, 363)(40, 364)(41, 365)(42, 366)(43, 367)(44, 368)(45, 369)(46, 370)(47, 371)(48, 372)(49, 373)(50, 374)(51, 375)(52, 376)(53, 377)(54, 378)(55, 379)(56, 380)(57, 381)(58, 382)(59, 383)(60, 384)(61, 385)(62, 386)(63, 387)(64, 388)(65, 389)(66, 390)(67, 391)(68, 392)(69, 393)(70, 394)(71, 395)(72, 396)(73, 397)(74, 398)(75, 399)(76, 400)(77, 401)(78, 402)(79, 403)(80, 404)(81, 405)(82, 406)(83, 407)(84, 408)(85, 409)(86, 410)(87, 411)(88, 412)(89, 413)(90, 414)(91, 415)(92, 416)(93, 417)(94, 418)(95, 419)(96, 420)(97, 421)(98, 422)(99, 423)(100, 424)(101, 425)(102, 426)(103, 427)(104, 428)(105, 429)(106, 430)(107, 431)(108, 432)(109, 433)(110, 434)(111, 435)(112, 436)(113, 437)(114, 438)(115, 439)(116, 440)(117, 441)(118, 442)(119, 443)(120, 444)(121, 445)(122, 446)(123, 447)(124, 448)(125, 449)(126, 450)(127, 451)(128, 452)(129, 453)(130, 454)(131, 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, 475)(152, 476)(153, 477)(154, 478)(155, 479)(156, 480)(157, 481)(158, 482)(159, 483)(160, 484)(161, 485)(162, 486)(163, 487)(164, 488)(165, 489)(166, 490)(167, 491)(168, 492)(169, 493)(170, 494)(171, 495)(172, 496)(173, 497)(174, 498)(175, 499)(176, 500)(177, 501)(178, 502)(179, 503)(180, 504)(181, 505)(182, 506)(183, 507)(184, 508)(185, 509)(186, 510)(187, 511)(188, 512)(189, 513)(190, 514)(191, 515)(192, 516)(193, 517)(194, 518)(195, 519)(196, 520)(197, 521)(198, 522)(199, 523)(200, 524)(201, 525)(202, 526)(203, 527)(204, 528)(205, 529)(206, 530)(207, 531)(208, 532)(209, 533)(210, 534)(211, 535)(212, 536)(213, 537)(214, 538)(215, 539)(216, 540)(217, 541)(218, 542)(219, 543)(220, 544)(221, 545)(222, 546)(223, 547)(224, 548)(225, 549)(226, 550)(227, 551)(228, 552)(229, 553)(230, 554)(231, 555)(232, 556)(233, 557)(234, 558)(235, 559)(236, 560)(237, 561)(238, 562)(239, 563)(240, 564)(241, 565)(242, 566)(243, 567)(244, 568)(245, 569)(246, 570)(247, 571)(248, 572)(249, 573)(250, 574)(251, 575)(252, 576)(253, 577)(254, 578)(255, 579)(256, 580)(257, 581)(258, 582)(259, 583)(260, 584)(261, 585)(262, 586)(263, 587)(264, 588)(265, 589)(266, 590)(267, 591)(268, 592)(269, 593)(270, 594)(271, 595)(272, 596)(273, 597)(274, 598)(275, 599)(276, 600)(277, 601)(278, 602)(279, 603)(280, 604)(281, 605)(282, 606)(283, 607)(284, 608)(285, 609)(286, 610)(287, 611)(288, 612)(289, 613)(290, 614)(291, 615)(292, 616)(293, 617)(294, 618)(295, 619)(296, 620)(297, 621)(298, 622)(299, 623)(300, 624)(301, 625)(302, 626)(303, 627)(304, 628)(305, 629)(306, 630)(307, 631)(308, 632)(309, 633)(310, 634)(311, 635)(312, 636)(313, 637)(314, 638)(315, 639)(316, 640)(317, 641)(318, 642)(319, 643)(320, 644)(321, 645)(322, 646)(323, 647)(324, 648)
	local type(s) :: { ( 4^3 ), ( 4^9 ) }
Outer automorphisms :: reflexible
Dual of E10.958
Transitivity :: ET+
Graph:: simple bipartite
	v = 144 e = 324 f = 162
	degree seq :: [ 3^108, 9^36 ]

E10.955 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 3, 9})
Quotient :: edge
Aut^+ = ((C3 x ((C3 x C3) : C2)) : C2) : C3 (small group id <324, 160>)
Aut   = $<648, 703>$ (small group id <648, 703>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, (T2 * T1^-1)^3, T1^9, T2 * T1^2 * T2 * T1^-3 * T2 * T1^-3 * T2 * T1^2 * T2 * T1^-1, (T1^-1 * T2 * T1^4 * T2 * T1^-3)^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, 37)(24, 38)(25, 43)(26, 44)(27, 47)(29, 48)(31, 52)(32, 55)(34, 58)(36, 60)(39, 61)(40, 66)(41, 67)(42, 70)(45, 73)(46, 75)(49, 76)(50, 80)(51, 83)(53, 85)(54, 87)(56, 88)(57, 92)(59, 95)(62, 96)(63, 100)(64, 101)(65, 104)(68, 107)(69, 109)(71, 110)(72, 114)(74, 116)(77, 117)(78, 122)(79, 123)(81, 126)(82, 128)(84, 131)(86, 133)(89, 134)(90, 138)(91, 141)(93, 142)(94, 146)(97, 150)(98, 151)(99, 154)(102, 157)(103, 159)(105, 160)(106, 164)(108, 166)(111, 167)(112, 171)(113, 174)(115, 177)(118, 132)(119, 181)(120, 182)(121, 185)(124, 173)(125, 188)(127, 191)(129, 192)(130, 156)(135, 197)(136, 201)(137, 193)(139, 202)(140, 203)(143, 170)(144, 194)(145, 183)(147, 209)(148, 212)(149, 214)(152, 217)(153, 219)(155, 220)(158, 224)(161, 225)(162, 228)(163, 231)(165, 233)(168, 178)(169, 237)(172, 230)(175, 239)(176, 216)(179, 243)(180, 244)(184, 247)(186, 248)(187, 250)(189, 198)(190, 252)(195, 222)(196, 257)(199, 260)(200, 242)(204, 265)(205, 255)(206, 235)(207, 254)(208, 269)(210, 249)(211, 261)(213, 273)(215, 267)(218, 276)(221, 278)(223, 281)(226, 234)(227, 284)(229, 280)(232, 270)(236, 288)(238, 290)(240, 275)(241, 292)(245, 296)(246, 297)(251, 295)(253, 301)(256, 289)(258, 306)(259, 307)(262, 294)(263, 293)(264, 266)(268, 305)(271, 299)(272, 304)(274, 309)(277, 282)(279, 313)(283, 315)(285, 302)(286, 311)(287, 316)(291, 303)(298, 300)(308, 322)(310, 321)(312, 323)(314, 317)(318, 320)(319, 324)(325, 326, 329, 335, 345, 360, 344, 334, 328)(327, 331, 339, 351, 370, 377, 355, 341, 332)(330, 337, 349, 366, 393, 398, 369, 350, 338)(333, 342, 356, 378, 410, 405, 374, 353, 340)(336, 347, 364, 389, 427, 432, 392, 365, 348)(343, 358, 381, 415, 464, 463, 414, 380, 357)(346, 362, 387, 423, 477, 482, 426, 388, 363)(352, 372, 402, 445, 508, 511, 448, 403, 373)(354, 375, 406, 451, 514, 496, 436, 395, 367)(359, 383, 418, 469, 532, 531, 468, 417, 382)(361, 385, 421, 473, 537, 542, 476, 422, 386)(368, 396, 437, 497, 562, 553, 486, 429, 390)(371, 400, 443, 478, 544, 570, 507, 444, 401)(376, 408, 454, 481, 547, 579, 518, 453, 407)(379, 412, 460, 524, 586, 577, 515, 461, 413)(384, 420, 472, 535, 596, 595, 534, 471, 419)(391, 430, 487, 554, 609, 603, 545, 479, 424)(394, 434, 493, 538, 591, 528, 465, 494, 435)(397, 439, 500, 541, 587, 525, 462, 499, 438)(399, 441, 503, 566, 617, 600, 569, 504, 442)(404, 449, 488, 431, 489, 556, 573, 510, 446)(409, 456, 520, 580, 628, 608, 552, 519, 455)(411, 458, 485, 428, 484, 551, 585, 523, 459)(416, 466, 529, 592, 634, 622, 571, 530, 467)(425, 480, 546, 604, 638, 636, 598, 539, 474)(433, 491, 559, 509, 572, 623, 613, 560, 492)(440, 502, 565, 615, 593, 621, 602, 564, 501)(447, 498, 563, 526, 588, 632, 601, 543, 505)(450, 513, 575, 620, 597, 561, 495, 555, 512)(452, 516, 578, 627, 607, 550, 483, 549, 517)(457, 521, 582, 629, 605, 548, 606, 583, 522)(470, 533, 594, 635, 647, 642, 618, 567, 506)(475, 540, 599, 637, 648, 645, 630, 584, 536)(490, 558, 611, 590, 527, 589, 633, 610, 557)(568, 619, 631, 646, 640, 639, 616, 612, 581)(574, 624, 643, 626, 576, 625, 644, 641, 614)
	L = (1, 325)(2, 326)(3, 327)(4, 328)(5, 329)(6, 330)(7, 331)(8, 332)(9, 333)(10, 334)(11, 335)(12, 336)(13, 337)(14, 338)(15, 339)(16, 340)(17, 341)(18, 342)(19, 343)(20, 344)(21, 345)(22, 346)(23, 347)(24, 348)(25, 349)(26, 350)(27, 351)(28, 352)(29, 353)(30, 354)(31, 355)(32, 356)(33, 357)(34, 358)(35, 359)(36, 360)(37, 361)(38, 362)(39, 363)(40, 364)(41, 365)(42, 366)(43, 367)(44, 368)(45, 369)(46, 370)(47, 371)(48, 372)(49, 373)(50, 374)(51, 375)(52, 376)(53, 377)(54, 378)(55, 379)(56, 380)(57, 381)(58, 382)(59, 383)(60, 384)(61, 385)(62, 386)(63, 387)(64, 388)(65, 389)(66, 390)(67, 391)(68, 392)(69, 393)(70, 394)(71, 395)(72, 396)(73, 397)(74, 398)(75, 399)(76, 400)(77, 401)(78, 402)(79, 403)(80, 404)(81, 405)(82, 406)(83, 407)(84, 408)(85, 409)(86, 410)(87, 411)(88, 412)(89, 413)(90, 414)(91, 415)(92, 416)(93, 417)(94, 418)(95, 419)(96, 420)(97, 421)(98, 422)(99, 423)(100, 424)(101, 425)(102, 426)(103, 427)(104, 428)(105, 429)(106, 430)(107, 431)(108, 432)(109, 433)(110, 434)(111, 435)(112, 436)(113, 437)(114, 438)(115, 439)(116, 440)(117, 441)(118, 442)(119, 443)(120, 444)(121, 445)(122, 446)(123, 447)(124, 448)(125, 449)(126, 450)(127, 451)(128, 452)(129, 453)(130, 454)(131, 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, 475)(152, 476)(153, 477)(154, 478)(155, 479)(156, 480)(157, 481)(158, 482)(159, 483)(160, 484)(161, 485)(162, 486)(163, 487)(164, 488)(165, 489)(166, 490)(167, 491)(168, 492)(169, 493)(170, 494)(171, 495)(172, 496)(173, 497)(174, 498)(175, 499)(176, 500)(177, 501)(178, 502)(179, 503)(180, 504)(181, 505)(182, 506)(183, 507)(184, 508)(185, 509)(186, 510)(187, 511)(188, 512)(189, 513)(190, 514)(191, 515)(192, 516)(193, 517)(194, 518)(195, 519)(196, 520)(197, 521)(198, 522)(199, 523)(200, 524)(201, 525)(202, 526)(203, 527)(204, 528)(205, 529)(206, 530)(207, 531)(208, 532)(209, 533)(210, 534)(211, 535)(212, 536)(213, 537)(214, 538)(215, 539)(216, 540)(217, 541)(218, 542)(219, 543)(220, 544)(221, 545)(222, 546)(223, 547)(224, 548)(225, 549)(226, 550)(227, 551)(228, 552)(229, 553)(230, 554)(231, 555)(232, 556)(233, 557)(234, 558)(235, 559)(236, 560)(237, 561)(238, 562)(239, 563)(240, 564)(241, 565)(242, 566)(243, 567)(244, 568)(245, 569)(246, 570)(247, 571)(248, 572)(249, 573)(250, 574)(251, 575)(252, 576)(253, 577)(254, 578)(255, 579)(256, 580)(257, 581)(258, 582)(259, 583)(260, 584)(261, 585)(262, 586)(263, 587)(264, 588)(265, 589)(266, 590)(267, 591)(268, 592)(269, 593)(270, 594)(271, 595)(272, 596)(273, 597)(274, 598)(275, 599)(276, 600)(277, 601)(278, 602)(279, 603)(280, 604)(281, 605)(282, 606)(283, 607)(284, 608)(285, 609)(286, 610)(287, 611)(288, 612)(289, 613)(290, 614)(291, 615)(292, 616)(293, 617)(294, 618)(295, 619)(296, 620)(297, 621)(298, 622)(299, 623)(300, 624)(301, 625)(302, 626)(303, 627)(304, 628)(305, 629)(306, 630)(307, 631)(308, 632)(309, 633)(310, 634)(311, 635)(312, 636)(313, 637)(314, 638)(315, 639)(316, 640)(317, 641)(318, 642)(319, 643)(320, 644)(321, 645)(322, 646)(323, 647)(324, 648)
	local type(s) :: { ( 6, 6 ), ( 6^9 ) }
Outer automorphisms :: reflexible
Dual of E10.956
Transitivity :: ET+
Graph:: simple bipartite
	v = 198 e = 324 f = 108
	degree seq :: [ 2^162, 9^36 ]

E10.956 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 3, 9})
Quotient :: loop
Aut^+ = ((C3 x ((C3 x C3) : C2)) : C2) : C3 (small group id <324, 160>)
Aut   = $<648, 703>$ (small group id <648, 703>)
|r| :: 2
Presentation :: [ T1^2, F^2, T2^3, (F * T1)^2, (F * T2)^2, (T2^-1 * T1)^9, T1 * T2^-1 * T1 * T2 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2 * T1 * T2 * T1 * T2^-1 * T1 * T2 * T1 * T2 * T1 * T2^-1, (T2 * T1 * T2^-1 * T1)^6 ]
Map::
	R = (1, 325, 3, 327, 4, 328)(2, 326, 5, 329, 6, 330)(7, 331, 11, 335, 12, 336)(8, 332, 13, 337, 14, 338)(9, 333, 15, 339, 16, 340)(10, 334, 17, 341, 18, 342)(19, 343, 27, 351, 28, 352)(20, 344, 29, 353, 30, 354)(21, 345, 31, 355, 32, 356)(22, 346, 33, 357, 34, 358)(23, 347, 35, 359, 36, 360)(24, 348, 37, 361, 38, 362)(25, 349, 39, 363, 40, 364)(26, 350, 41, 365, 42, 366)(43, 367, 59, 383, 60, 384)(44, 368, 61, 385, 62, 386)(45, 369, 63, 387, 64, 388)(46, 370, 65, 389, 66, 390)(47, 371, 67, 391, 68, 392)(48, 372, 69, 393, 70, 394)(49, 373, 71, 395, 72, 396)(50, 374, 73, 397, 74, 398)(51, 375, 75, 399, 76, 400)(52, 376, 77, 401, 78, 402)(53, 377, 79, 403, 80, 404)(54, 378, 81, 405, 82, 406)(55, 379, 83, 407, 84, 408)(56, 380, 85, 409, 86, 410)(57, 381, 87, 411, 88, 412)(58, 382, 89, 413, 90, 414)(91, 415, 122, 446, 123, 447)(92, 416, 124, 448, 125, 449)(93, 417, 126, 450, 127, 451)(94, 418, 128, 452, 129, 453)(95, 419, 130, 454, 131, 455)(96, 420, 132, 456, 133, 457)(97, 421, 134, 458, 135, 459)(98, 422, 136, 460, 137, 461)(99, 423, 138, 462, 139, 463)(100, 424, 140, 464, 141, 465)(101, 425, 142, 466, 143, 467)(102, 426, 144, 468, 145, 469)(103, 427, 146, 470, 147, 471)(104, 428, 148, 472, 149, 473)(105, 429, 150, 474, 151, 475)(106, 430, 152, 476, 107, 431)(108, 432, 153, 477, 154, 478)(109, 433, 155, 479, 156, 480)(110, 434, 157, 481, 158, 482)(111, 435, 159, 483, 160, 484)(112, 436, 161, 485, 162, 486)(113, 437, 163, 487, 164, 488)(114, 438, 165, 489, 166, 490)(115, 439, 167, 491, 168, 492)(116, 440, 169, 493, 170, 494)(117, 441, 171, 495, 172, 496)(118, 442, 173, 497, 174, 498)(119, 443, 175, 499, 176, 500)(120, 444, 177, 501, 178, 502)(121, 445, 179, 503, 180, 504)(181, 505, 215, 539, 216, 540)(182, 506, 191, 515, 217, 541)(183, 507, 196, 520, 218, 542)(184, 508, 219, 543, 220, 544)(185, 509, 221, 545, 222, 546)(186, 510, 223, 547, 224, 548)(187, 511, 225, 549, 226, 550)(188, 512, 197, 521, 227, 551)(189, 513, 228, 552, 229, 553)(190, 514, 230, 554, 231, 555)(192, 516, 232, 556, 233, 557)(193, 517, 234, 558, 235, 559)(194, 518, 236, 560, 237, 561)(195, 519, 238, 562, 239, 563)(198, 522, 240, 564, 241, 565)(199, 523, 208, 532, 242, 566)(200, 524, 213, 537, 243, 567)(201, 525, 244, 568, 245, 569)(202, 526, 246, 570, 247, 571)(203, 527, 248, 572, 249, 573)(204, 528, 250, 574, 251, 575)(205, 529, 214, 538, 252, 576)(206, 530, 253, 577, 254, 578)(207, 531, 255, 579, 256, 580)(209, 533, 257, 581, 258, 582)(210, 534, 259, 583, 260, 584)(211, 535, 261, 585, 262, 586)(212, 536, 263, 587, 264, 588)(265, 589, 273, 597, 297, 621)(266, 590, 275, 599, 298, 622)(267, 591, 300, 624, 303, 627)(268, 592, 302, 626, 288, 612)(269, 593, 287, 611, 283, 607)(270, 594, 276, 600, 304, 628)(271, 595, 293, 617, 305, 629)(272, 596, 306, 630, 307, 631)(274, 598, 308, 632, 290, 614)(277, 601, 282, 606, 309, 633)(278, 602, 284, 608, 292, 616)(279, 603, 285, 609, 294, 618)(280, 604, 310, 634, 311, 635)(281, 605, 312, 636, 286, 610)(289, 613, 295, 619, 313, 637)(291, 615, 314, 638, 315, 639)(296, 620, 301, 625, 316, 640)(299, 623, 317, 641, 318, 642)(319, 643, 320, 644, 323, 647)(321, 645, 324, 648, 322, 646)
	L = (1, 326)(2, 325)(3, 331)(4, 332)(5, 333)(6, 334)(7, 327)(8, 328)(9, 329)(10, 330)(11, 343)(12, 344)(13, 345)(14, 346)(15, 347)(16, 348)(17, 349)(18, 350)(19, 335)(20, 336)(21, 337)(22, 338)(23, 339)(24, 340)(25, 341)(26, 342)(27, 367)(28, 368)(29, 369)(30, 370)(31, 371)(32, 372)(33, 373)(34, 374)(35, 375)(36, 376)(37, 377)(38, 378)(39, 379)(40, 380)(41, 381)(42, 382)(43, 351)(44, 352)(45, 353)(46, 354)(47, 355)(48, 356)(49, 357)(50, 358)(51, 359)(52, 360)(53, 361)(54, 362)(55, 363)(56, 364)(57, 365)(58, 366)(59, 415)(60, 416)(61, 417)(62, 418)(63, 419)(64, 420)(65, 421)(66, 422)(67, 423)(68, 424)(69, 425)(70, 426)(71, 427)(72, 428)(73, 429)(74, 430)(75, 431)(76, 432)(77, 433)(78, 434)(79, 435)(80, 436)(81, 437)(82, 438)(83, 439)(84, 440)(85, 441)(86, 442)(87, 443)(88, 444)(89, 445)(90, 446)(91, 383)(92, 384)(93, 385)(94, 386)(95, 387)(96, 388)(97, 389)(98, 390)(99, 391)(100, 392)(101, 393)(102, 394)(103, 395)(104, 396)(105, 397)(106, 398)(107, 399)(108, 400)(109, 401)(110, 402)(111, 403)(112, 404)(113, 405)(114, 406)(115, 407)(116, 408)(117, 409)(118, 410)(119, 411)(120, 412)(121, 413)(122, 414)(123, 505)(124, 506)(125, 507)(126, 479)(127, 508)(128, 487)(129, 509)(130, 510)(131, 493)(132, 511)(133, 512)(134, 481)(135, 497)(136, 513)(137, 462)(138, 461)(139, 514)(140, 484)(141, 500)(142, 515)(143, 516)(144, 488)(145, 517)(146, 518)(147, 494)(148, 519)(149, 502)(150, 520)(151, 521)(152, 522)(153, 523)(154, 524)(155, 450)(156, 525)(157, 458)(158, 526)(159, 527)(160, 464)(161, 528)(162, 529)(163, 452)(164, 468)(165, 530)(166, 491)(167, 490)(168, 531)(169, 455)(170, 471)(171, 532)(172, 533)(173, 459)(174, 534)(175, 535)(176, 465)(177, 536)(178, 473)(179, 537)(180, 538)(181, 447)(182, 448)(183, 449)(184, 451)(185, 453)(186, 454)(187, 456)(188, 457)(189, 460)(190, 463)(191, 466)(192, 467)(193, 469)(194, 470)(195, 472)(196, 474)(197, 475)(198, 476)(199, 477)(200, 478)(201, 480)(202, 482)(203, 483)(204, 485)(205, 486)(206, 489)(207, 492)(208, 495)(209, 496)(210, 498)(211, 499)(212, 501)(213, 503)(214, 504)(215, 589)(216, 590)(217, 591)(218, 592)(219, 593)(220, 594)(221, 595)(222, 547)(223, 546)(224, 596)(225, 597)(226, 575)(227, 598)(228, 599)(229, 600)(230, 601)(231, 602)(232, 581)(233, 603)(234, 604)(235, 560)(236, 559)(237, 605)(238, 606)(239, 607)(240, 608)(241, 609)(242, 610)(243, 611)(244, 612)(245, 613)(246, 614)(247, 572)(248, 571)(249, 615)(250, 616)(251, 550)(252, 617)(253, 618)(254, 619)(255, 620)(256, 621)(257, 556)(258, 622)(259, 623)(260, 585)(261, 584)(262, 624)(263, 625)(264, 626)(265, 539)(266, 540)(267, 541)(268, 542)(269, 543)(270, 544)(271, 545)(272, 548)(273, 549)(274, 551)(275, 552)(276, 553)(277, 554)(278, 555)(279, 557)(280, 558)(281, 561)(282, 562)(283, 563)(284, 564)(285, 565)(286, 566)(287, 567)(288, 568)(289, 569)(290, 570)(291, 573)(292, 574)(293, 576)(294, 577)(295, 578)(296, 579)(297, 580)(298, 582)(299, 583)(300, 586)(301, 587)(302, 588)(303, 643)(304, 634)(305, 644)(306, 642)(307, 633)(308, 645)(309, 631)(310, 628)(311, 638)(312, 646)(313, 641)(314, 635)(315, 640)(316, 639)(317, 637)(318, 630)(319, 627)(320, 629)(321, 632)(322, 636)(323, 648)(324, 647)
	local type(s) :: { ( 2, 9, 2, 9, 2, 9 ) }
Outer automorphisms :: reflexible
Dual of E10.955
Transitivity :: ET+ VT+ AT
Graph::
	v = 108 e = 324 f = 198
	degree seq :: [ 6^108 ]

E10.957 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 3, 9})
Quotient :: loop
Aut^+ = ((C3 x ((C3 x C3) : C2)) : C2) : C3 (small group id <324, 160>)
Aut   = $<648, 703>$ (small group id <648, 703>)
|r| :: 2
Presentation :: [ F^2, T1^3, (T2^-1 * T1^-1)^2, (F * T2)^2, (F * T1)^2, T2^9, T2^3 * T1^-1 * T2^2 * T1^-1 * T2^-3 * T1 * T2^-2 * T1, (T2^-1 * T1 * T2^-4 * T1 * T2^-2)^2 ]
Map::
	R = (1, 325, 3, 327, 9, 333, 19, 343, 37, 361, 48, 372, 26, 350, 13, 337, 5, 329)(2, 326, 6, 330, 14, 338, 27, 351, 50, 374, 58, 382, 32, 356, 16, 340, 7, 331)(4, 328, 11, 335, 22, 346, 41, 365, 73, 397, 62, 386, 34, 358, 17, 341, 8, 332)(10, 334, 21, 345, 40, 364, 70, 394, 116, 440, 107, 431, 64, 388, 35, 359, 18, 342)(12, 336, 23, 347, 43, 367, 76, 400, 125, 449, 131, 455, 79, 403, 44, 368, 24, 348)(15, 339, 29, 353, 53, 377, 90, 414, 147, 471, 153, 477, 93, 417, 54, 378, 30, 354)(20, 344, 39, 363, 69, 393, 113, 437, 181, 505, 175, 499, 109, 433, 65, 389, 36, 360)(25, 349, 45, 369, 80, 404, 132, 456, 203, 527, 207, 531, 135, 459, 81, 405, 46, 370)(28, 352, 52, 376, 89, 413, 144, 468, 216, 540, 212, 536, 140, 464, 85, 409, 49, 373)(31, 355, 55, 379, 94, 418, 154, 478, 225, 549, 228, 552, 157, 481, 95, 419, 56, 380)(33, 357, 59, 383, 99, 423, 161, 485, 232, 556, 234, 558, 164, 488, 100, 424, 60, 384)(38, 362, 68, 392, 112, 436, 179, 503, 249, 573, 246, 570, 177, 501, 110, 434, 66, 390)(42, 366, 75, 399, 123, 447, 180, 504, 250, 574, 256, 580, 190, 514, 119, 443, 72, 396)(47, 371, 82, 406, 136, 460, 208, 532, 274, 598, 227, 551, 156, 480, 137, 461, 83, 407)(51, 375, 88, 412, 143, 467, 114, 438, 183, 507, 253, 577, 214, 538, 141, 465, 86, 410)(57, 381, 96, 420, 158, 482, 229, 553, 292, 616, 233, 557, 163, 487, 159, 483, 97, 421)(61, 385, 101, 425, 165, 489, 235, 559, 270, 594, 205, 529, 134, 458, 166, 490, 102, 426)(63, 387, 104, 428, 168, 492, 152, 476, 223, 547, 287, 611, 239, 563, 169, 493, 105, 429)(67, 391, 111, 435, 178, 502, 247, 571, 303, 627, 264, 588, 210, 534, 138, 462, 84, 408)(71, 395, 118, 442, 188, 512, 248, 572, 260, 584, 195, 519, 126, 450, 184, 508, 115, 439)(74, 398, 122, 446, 193, 517, 145, 469, 218, 542, 280, 604, 258, 582, 191, 515, 120, 444)(77, 401, 127, 451, 197, 521, 262, 586, 281, 605, 219, 543, 148, 472, 194, 518, 124, 448)(78, 402, 128, 452, 171, 495, 106, 430, 170, 494, 240, 564, 265, 589, 198, 522, 129, 453)(87, 411, 142, 466, 215, 539, 263, 587, 302, 626, 285, 609, 231, 555, 160, 484, 98, 422)(91, 415, 149, 473, 221, 545, 283, 607, 254, 578, 185, 509, 117, 441, 187, 511, 146, 470)(92, 416, 150, 474, 200, 524, 130, 454, 199, 523, 266, 590, 286, 610, 222, 546, 151, 475)(103, 427, 121, 445, 192, 516, 259, 583, 284, 608, 296, 620, 238, 562, 237, 561, 167, 491)(108, 432, 173, 497, 155, 479, 226, 550, 289, 613, 318, 642, 300, 624, 242, 566, 174, 498)(133, 457, 204, 528, 269, 593, 311, 635, 314, 638, 278, 602, 217, 541, 189, 513, 202, 526)(139, 463, 211, 535, 162, 486, 206, 530, 271, 595, 312, 636, 304, 628, 251, 575, 182, 506)(172, 496, 186, 510, 255, 579, 307, 631, 272, 596, 268, 592, 299, 623, 298, 622, 241, 565)(176, 500, 244, 568, 236, 560, 295, 619, 317, 641, 324, 648, 320, 644, 301, 625, 245, 569)(196, 520, 261, 585, 309, 633, 290, 614, 243, 567, 252, 576, 305, 629, 267, 591, 201, 525)(209, 533, 275, 599, 297, 621, 319, 643, 323, 647, 313, 637, 277, 601, 213, 537, 273, 597)(220, 544, 282, 606, 316, 640, 294, 618, 276, 600, 279, 603, 315, 639, 288, 612, 224, 548)(230, 554, 293, 617, 310, 634, 321, 645, 322, 646, 306, 630, 308, 632, 257, 581, 291, 615)
	L = (1, 326)(2, 328)(3, 332)(4, 325)(5, 336)(6, 329)(7, 339)(8, 334)(9, 342)(10, 327)(11, 331)(12, 330)(13, 349)(14, 348)(15, 335)(16, 355)(17, 357)(18, 344)(19, 360)(20, 333)(21, 341)(22, 354)(23, 337)(24, 352)(25, 347)(26, 371)(27, 373)(28, 338)(29, 340)(30, 366)(31, 353)(32, 381)(33, 345)(34, 385)(35, 387)(36, 362)(37, 390)(38, 343)(39, 359)(40, 384)(41, 396)(42, 346)(43, 370)(44, 402)(45, 350)(46, 401)(47, 369)(48, 408)(49, 375)(50, 410)(51, 351)(52, 368)(53, 380)(54, 416)(55, 356)(56, 415)(57, 379)(58, 422)(59, 358)(60, 395)(61, 383)(62, 427)(63, 363)(64, 430)(65, 432)(66, 391)(67, 361)(68, 389)(69, 429)(70, 439)(71, 364)(72, 398)(73, 444)(74, 365)(75, 378)(76, 448)(77, 367)(78, 376)(79, 454)(80, 407)(81, 458)(82, 372)(83, 457)(84, 406)(85, 463)(86, 411)(87, 374)(88, 409)(89, 453)(90, 470)(91, 377)(92, 399)(93, 476)(94, 421)(95, 480)(96, 382)(97, 479)(98, 420)(99, 426)(100, 487)(101, 386)(102, 486)(103, 425)(104, 388)(105, 438)(106, 428)(107, 496)(108, 392)(109, 478)(110, 500)(111, 434)(112, 498)(113, 467)(114, 393)(115, 441)(116, 509)(117, 394)(118, 424)(119, 513)(120, 445)(121, 397)(122, 443)(123, 475)(124, 450)(125, 519)(126, 400)(127, 405)(128, 403)(129, 469)(130, 452)(131, 525)(132, 526)(133, 404)(134, 451)(135, 530)(136, 462)(137, 481)(138, 533)(139, 412)(140, 485)(141, 537)(142, 465)(143, 506)(144, 517)(145, 413)(146, 472)(147, 543)(148, 414)(149, 419)(150, 417)(151, 503)(152, 474)(153, 548)(154, 497)(155, 418)(156, 473)(157, 528)(158, 484)(159, 488)(160, 554)(161, 535)(162, 423)(163, 442)(164, 550)(165, 491)(166, 459)(167, 560)(168, 495)(169, 562)(170, 431)(171, 524)(172, 494)(173, 433)(174, 504)(175, 567)(176, 435)(177, 559)(178, 569)(179, 447)(180, 436)(181, 575)(182, 437)(183, 493)(184, 518)(185, 510)(186, 440)(187, 508)(188, 557)(189, 446)(190, 456)(191, 581)(192, 515)(193, 541)(194, 511)(195, 520)(196, 449)(197, 529)(198, 588)(199, 455)(200, 492)(201, 523)(202, 514)(203, 580)(204, 461)(205, 587)(206, 490)(207, 596)(208, 597)(209, 460)(210, 589)(211, 464)(212, 600)(213, 466)(214, 532)(215, 601)(216, 602)(217, 468)(218, 522)(219, 544)(220, 471)(221, 551)(222, 609)(223, 477)(224, 547)(225, 499)(226, 483)(227, 608)(228, 614)(229, 615)(230, 482)(231, 610)(232, 536)(233, 571)(234, 618)(235, 568)(236, 489)(237, 563)(238, 507)(239, 619)(240, 565)(241, 621)(242, 623)(243, 549)(244, 501)(245, 572)(246, 626)(247, 512)(248, 502)(249, 546)(250, 566)(251, 576)(252, 505)(253, 620)(254, 630)(255, 578)(256, 592)(257, 516)(258, 553)(259, 632)(260, 625)(261, 584)(262, 539)(263, 521)(264, 542)(265, 599)(266, 591)(267, 634)(268, 527)(269, 552)(270, 570)(271, 531)(272, 595)(273, 538)(274, 577)(275, 534)(276, 556)(277, 586)(278, 603)(279, 540)(280, 627)(281, 637)(282, 605)(283, 583)(284, 545)(285, 573)(286, 617)(287, 612)(288, 641)(289, 558)(290, 593)(291, 582)(292, 604)(293, 555)(294, 613)(295, 561)(296, 598)(297, 564)(298, 624)(299, 574)(300, 643)(301, 585)(302, 594)(303, 616)(304, 645)(305, 628)(306, 579)(307, 646)(308, 607)(309, 644)(310, 590)(311, 633)(312, 631)(313, 606)(314, 648)(315, 638)(316, 647)(317, 611)(318, 640)(319, 622)(320, 635)(321, 629)(322, 636)(323, 642)(324, 639)
	local type(s) :: { ( 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3 ) }
Outer automorphisms :: reflexible
Dual of E10.953
Transitivity :: ET+ VT+ AT
Graph::
	v = 36 e = 324 f = 270
	degree seq :: [ 18^36 ]

E10.958 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 3, 9})
Quotient :: loop
Aut^+ = ((C3 x ((C3 x C3) : C2)) : C2) : C3 (small group id <324, 160>)
Aut   = $<648, 703>$ (small group id <648, 703>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, (T2 * T1^-1)^3, T1^9, T2 * T1^2 * T2 * T1^-3 * T2 * T1^-3 * T2 * T1^2 * T2 * T1^-1, (T1^-1 * T2 * T1^4 * T2 * T1^-3)^2 ]
Map:: polyhedral non-degenerate
	R = (1, 325, 3, 327)(2, 326, 6, 330)(4, 328, 9, 333)(5, 329, 12, 336)(7, 331, 16, 340)(8, 332, 13, 337)(10, 334, 19, 343)(11, 335, 22, 346)(14, 338, 23, 347)(15, 339, 28, 352)(17, 341, 30, 354)(18, 342, 33, 357)(20, 344, 35, 359)(21, 345, 37, 361)(24, 348, 38, 362)(25, 349, 43, 367)(26, 350, 44, 368)(27, 351, 47, 371)(29, 353, 48, 372)(31, 355, 52, 376)(32, 356, 55, 379)(34, 358, 58, 382)(36, 360, 60, 384)(39, 363, 61, 385)(40, 364, 66, 390)(41, 365, 67, 391)(42, 366, 70, 394)(45, 369, 73, 397)(46, 370, 75, 399)(49, 373, 76, 400)(50, 374, 80, 404)(51, 375, 83, 407)(53, 377, 85, 409)(54, 378, 87, 411)(56, 380, 88, 412)(57, 381, 92, 416)(59, 383, 95, 419)(62, 386, 96, 420)(63, 387, 100, 424)(64, 388, 101, 425)(65, 389, 104, 428)(68, 392, 107, 431)(69, 393, 109, 433)(71, 395, 110, 434)(72, 396, 114, 438)(74, 398, 116, 440)(77, 401, 117, 441)(78, 402, 122, 446)(79, 403, 123, 447)(81, 405, 126, 450)(82, 406, 128, 452)(84, 408, 131, 455)(86, 410, 133, 457)(89, 413, 134, 458)(90, 414, 138, 462)(91, 415, 141, 465)(93, 417, 142, 466)(94, 418, 146, 470)(97, 421, 150, 474)(98, 422, 151, 475)(99, 423, 154, 478)(102, 426, 157, 481)(103, 427, 159, 483)(105, 429, 160, 484)(106, 430, 164, 488)(108, 432, 166, 490)(111, 435, 167, 491)(112, 436, 171, 495)(113, 437, 174, 498)(115, 439, 177, 501)(118, 442, 132, 456)(119, 443, 181, 505)(120, 444, 182, 506)(121, 445, 185, 509)(124, 448, 173, 497)(125, 449, 188, 512)(127, 451, 191, 515)(129, 453, 192, 516)(130, 454, 156, 480)(135, 459, 197, 521)(136, 460, 201, 525)(137, 461, 193, 517)(139, 463, 202, 526)(140, 464, 203, 527)(143, 467, 170, 494)(144, 468, 194, 518)(145, 469, 183, 507)(147, 471, 209, 533)(148, 472, 212, 536)(149, 473, 214, 538)(152, 476, 217, 541)(153, 477, 219, 543)(155, 479, 220, 544)(158, 482, 224, 548)(161, 485, 225, 549)(162, 486, 228, 552)(163, 487, 231, 555)(165, 489, 233, 557)(168, 492, 178, 502)(169, 493, 237, 561)(172, 496, 230, 554)(175, 499, 239, 563)(176, 500, 216, 540)(179, 503, 243, 567)(180, 504, 244, 568)(184, 508, 247, 571)(186, 510, 248, 572)(187, 511, 250, 574)(189, 513, 198, 522)(190, 514, 252, 576)(195, 519, 222, 546)(196, 520, 257, 581)(199, 523, 260, 584)(200, 524, 242, 566)(204, 528, 265, 589)(205, 529, 255, 579)(206, 530, 235, 559)(207, 531, 254, 578)(208, 532, 269, 593)(210, 534, 249, 573)(211, 535, 261, 585)(213, 537, 273, 597)(215, 539, 267, 591)(218, 542, 276, 600)(221, 545, 278, 602)(223, 547, 281, 605)(226, 550, 234, 558)(227, 551, 284, 608)(229, 553, 280, 604)(232, 556, 270, 594)(236, 560, 288, 612)(238, 562, 290, 614)(240, 564, 275, 599)(241, 565, 292, 616)(245, 569, 296, 620)(246, 570, 297, 621)(251, 575, 295, 619)(253, 577, 301, 625)(256, 580, 289, 613)(258, 582, 306, 630)(259, 583, 307, 631)(262, 586, 294, 618)(263, 587, 293, 617)(264, 588, 266, 590)(268, 592, 305, 629)(271, 595, 299, 623)(272, 596, 304, 628)(274, 598, 309, 633)(277, 601, 282, 606)(279, 603, 313, 637)(283, 607, 315, 639)(285, 609, 302, 626)(286, 610, 311, 635)(287, 611, 316, 640)(291, 615, 303, 627)(298, 622, 300, 624)(308, 632, 322, 646)(310, 634, 321, 645)(312, 636, 323, 647)(314, 638, 317, 641)(318, 642, 320, 644)(319, 643, 324, 648)
	L = (1, 326)(2, 329)(3, 331)(4, 325)(5, 335)(6, 337)(7, 339)(8, 327)(9, 342)(10, 328)(11, 345)(12, 347)(13, 349)(14, 330)(15, 351)(16, 333)(17, 332)(18, 356)(19, 358)(20, 334)(21, 360)(22, 362)(23, 364)(24, 336)(25, 366)(26, 338)(27, 370)(28, 372)(29, 340)(30, 375)(31, 341)(32, 378)(33, 343)(34, 381)(35, 383)(36, 344)(37, 385)(38, 387)(39, 346)(40, 389)(41, 348)(42, 393)(43, 354)(44, 396)(45, 350)(46, 377)(47, 400)(48, 402)(49, 352)(50, 353)(51, 406)(52, 408)(53, 355)(54, 410)(55, 412)(56, 357)(57, 415)(58, 359)(59, 418)(60, 420)(61, 421)(62, 361)(63, 423)(64, 363)(65, 427)(66, 368)(67, 430)(68, 365)(69, 398)(70, 434)(71, 367)(72, 437)(73, 439)(74, 369)(75, 441)(76, 443)(77, 371)(78, 445)(79, 373)(80, 449)(81, 374)(82, 451)(83, 376)(84, 454)(85, 456)(86, 405)(87, 458)(88, 460)(89, 379)(90, 380)(91, 464)(92, 466)(93, 382)(94, 469)(95, 384)(96, 472)(97, 473)(98, 386)(99, 477)(100, 391)(101, 480)(102, 388)(103, 432)(104, 484)(105, 390)(106, 487)(107, 489)(108, 392)(109, 491)(110, 493)(111, 394)(112, 395)(113, 497)(114, 397)(115, 500)(116, 502)(117, 503)(118, 399)(119, 478)(120, 401)(121, 508)(122, 404)(123, 498)(124, 403)(125, 488)(126, 513)(127, 514)(128, 516)(129, 407)(130, 481)(131, 409)(132, 520)(133, 521)(134, 485)(135, 411)(136, 524)(137, 413)(138, 499)(139, 414)(140, 463)(141, 494)(142, 529)(143, 416)(144, 417)(145, 532)(146, 533)(147, 419)(148, 535)(149, 537)(150, 425)(151, 540)(152, 422)(153, 482)(154, 544)(155, 424)(156, 546)(157, 547)(158, 426)(159, 549)(160, 551)(161, 428)(162, 429)(163, 554)(164, 431)(165, 556)(166, 558)(167, 559)(168, 433)(169, 538)(170, 435)(171, 555)(172, 436)(173, 562)(174, 563)(175, 438)(176, 541)(177, 440)(178, 565)(179, 566)(180, 442)(181, 447)(182, 470)(183, 444)(184, 511)(185, 572)(186, 446)(187, 448)(188, 450)(189, 575)(190, 496)(191, 461)(192, 578)(193, 452)(194, 453)(195, 455)(196, 580)(197, 582)(198, 457)(199, 459)(200, 586)(201, 462)(202, 588)(203, 589)(204, 465)(205, 592)(206, 467)(207, 468)(208, 531)(209, 594)(210, 471)(211, 596)(212, 475)(213, 542)(214, 591)(215, 474)(216, 599)(217, 587)(218, 476)(219, 505)(220, 570)(221, 479)(222, 604)(223, 579)(224, 606)(225, 517)(226, 483)(227, 585)(228, 519)(229, 486)(230, 609)(231, 512)(232, 573)(233, 490)(234, 611)(235, 509)(236, 492)(237, 495)(238, 553)(239, 526)(240, 501)(241, 615)(242, 617)(243, 506)(244, 619)(245, 504)(246, 507)(247, 530)(248, 623)(249, 510)(250, 624)(251, 620)(252, 625)(253, 515)(254, 627)(255, 518)(256, 628)(257, 568)(258, 629)(259, 522)(260, 536)(261, 523)(262, 577)(263, 525)(264, 632)(265, 633)(266, 527)(267, 528)(268, 634)(269, 621)(270, 635)(271, 534)(272, 595)(273, 561)(274, 539)(275, 637)(276, 569)(277, 543)(278, 564)(279, 545)(280, 638)(281, 548)(282, 583)(283, 550)(284, 552)(285, 603)(286, 557)(287, 590)(288, 581)(289, 560)(290, 574)(291, 593)(292, 612)(293, 600)(294, 567)(295, 631)(296, 597)(297, 602)(298, 571)(299, 613)(300, 643)(301, 644)(302, 576)(303, 607)(304, 608)(305, 605)(306, 584)(307, 646)(308, 601)(309, 610)(310, 622)(311, 647)(312, 598)(313, 648)(314, 636)(315, 616)(316, 639)(317, 614)(318, 618)(319, 626)(320, 641)(321, 630)(322, 640)(323, 642)(324, 645)
	local type(s) :: { ( 3, 9, 3, 9 ) }
Outer automorphisms :: reflexible
Dual of E10.954
Transitivity :: ET+ VT+ AT
Graph:: simple
	v = 162 e = 324 f = 144
	degree seq :: [ 4^162 ]

E10.959 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 9})
Quotient :: dipole
Aut^+ = ((C3 x ((C3 x C3) : C2)) : C2) : C3 (small group id <324, 160>)
Aut   = $<648, 703>$ (small group id <648, 703>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, Y2^3, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, (Y3 * Y2^-1)^9, Y1 * Y2^-1 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2^-1, (Y2 * Y1 * Y2^-1 * Y1)^6 ]
Map::
	R = (1, 325, 2, 326)(3, 327, 7, 331)(4, 328, 8, 332)(5, 329, 9, 333)(6, 330, 10, 334)(11, 335, 19, 343)(12, 336, 20, 344)(13, 337, 21, 345)(14, 338, 22, 346)(15, 339, 23, 347)(16, 340, 24, 348)(17, 341, 25, 349)(18, 342, 26, 350)(27, 351, 43, 367)(28, 352, 44, 368)(29, 353, 45, 369)(30, 354, 46, 370)(31, 355, 47, 371)(32, 356, 48, 372)(33, 357, 49, 373)(34, 358, 50, 374)(35, 359, 51, 375)(36, 360, 52, 376)(37, 361, 53, 377)(38, 362, 54, 378)(39, 363, 55, 379)(40, 364, 56, 380)(41, 365, 57, 381)(42, 366, 58, 382)(59, 383, 91, 415)(60, 384, 92, 416)(61, 385, 93, 417)(62, 386, 94, 418)(63, 387, 95, 419)(64, 388, 96, 420)(65, 389, 97, 421)(66, 390, 98, 422)(67, 391, 99, 423)(68, 392, 100, 424)(69, 393, 101, 425)(70, 394, 102, 426)(71, 395, 103, 427)(72, 396, 104, 428)(73, 397, 105, 429)(74, 398, 106, 430)(75, 399, 107, 431)(76, 400, 108, 432)(77, 401, 109, 433)(78, 402, 110, 434)(79, 403, 111, 435)(80, 404, 112, 436)(81, 405, 113, 437)(82, 406, 114, 438)(83, 407, 115, 439)(84, 408, 116, 440)(85, 409, 117, 441)(86, 410, 118, 442)(87, 411, 119, 443)(88, 412, 120, 444)(89, 413, 121, 445)(90, 414, 122, 446)(123, 447, 181, 505)(124, 448, 182, 506)(125, 449, 183, 507)(126, 450, 155, 479)(127, 451, 184, 508)(128, 452, 163, 487)(129, 453, 185, 509)(130, 454, 186, 510)(131, 455, 169, 493)(132, 456, 187, 511)(133, 457, 188, 512)(134, 458, 157, 481)(135, 459, 173, 497)(136, 460, 189, 513)(137, 461, 138, 462)(139, 463, 190, 514)(140, 464, 160, 484)(141, 465, 176, 500)(142, 466, 191, 515)(143, 467, 192, 516)(144, 468, 164, 488)(145, 469, 193, 517)(146, 470, 194, 518)(147, 471, 170, 494)(148, 472, 195, 519)(149, 473, 178, 502)(150, 474, 196, 520)(151, 475, 197, 521)(152, 476, 198, 522)(153, 477, 199, 523)(154, 478, 200, 524)(156, 480, 201, 525)(158, 482, 202, 526)(159, 483, 203, 527)(161, 485, 204, 528)(162, 486, 205, 529)(165, 489, 206, 530)(166, 490, 167, 491)(168, 492, 207, 531)(171, 495, 208, 532)(172, 496, 209, 533)(174, 498, 210, 534)(175, 499, 211, 535)(177, 501, 212, 536)(179, 503, 213, 537)(180, 504, 214, 538)(215, 539, 265, 589)(216, 540, 266, 590)(217, 541, 267, 591)(218, 542, 268, 592)(219, 543, 269, 593)(220, 544, 270, 594)(221, 545, 271, 595)(222, 546, 223, 547)(224, 548, 272, 596)(225, 549, 273, 597)(226, 550, 251, 575)(227, 551, 274, 598)(228, 552, 275, 599)(229, 553, 276, 600)(230, 554, 277, 601)(231, 555, 278, 602)(232, 556, 257, 581)(233, 557, 279, 603)(234, 558, 280, 604)(235, 559, 236, 560)(237, 561, 281, 605)(238, 562, 282, 606)(239, 563, 283, 607)(240, 564, 284, 608)(241, 565, 285, 609)(242, 566, 286, 610)(243, 567, 287, 611)(244, 568, 288, 612)(245, 569, 289, 613)(246, 570, 290, 614)(247, 571, 248, 572)(249, 573, 291, 615)(250, 574, 292, 616)(252, 576, 293, 617)(253, 577, 294, 618)(254, 578, 295, 619)(255, 579, 296, 620)(256, 580, 297, 621)(258, 582, 298, 622)(259, 583, 299, 623)(260, 584, 261, 585)(262, 586, 300, 624)(263, 587, 301, 625)(264, 588, 302, 626)(303, 627, 319, 643)(304, 628, 310, 634)(305, 629, 320, 644)(306, 630, 318, 642)(307, 631, 309, 633)(308, 632, 321, 645)(311, 635, 314, 638)(312, 636, 322, 646)(313, 637, 317, 641)(315, 639, 316, 640)(323, 647, 324, 648)(649, 973, 651, 975, 652, 976)(650, 974, 653, 977, 654, 978)(655, 979, 659, 983, 660, 984)(656, 980, 661, 985, 662, 986)(657, 981, 663, 987, 664, 988)(658, 982, 665, 989, 666, 990)(667, 991, 675, 999, 676, 1000)(668, 992, 677, 1001, 678, 1002)(669, 993, 679, 1003, 680, 1004)(670, 994, 681, 1005, 682, 1006)(671, 995, 683, 1007, 684, 1008)(672, 996, 685, 1009, 686, 1010)(673, 997, 687, 1011, 688, 1012)(674, 998, 689, 1013, 690, 1014)(691, 1015, 707, 1031, 708, 1032)(692, 1016, 709, 1033, 710, 1034)(693, 1017, 711, 1035, 712, 1036)(694, 1018, 713, 1037, 714, 1038)(695, 1019, 715, 1039, 716, 1040)(696, 1020, 717, 1041, 718, 1042)(697, 1021, 719, 1043, 720, 1044)(698, 1022, 721, 1045, 722, 1046)(699, 1023, 723, 1047, 724, 1048)(700, 1024, 725, 1049, 726, 1050)(701, 1025, 727, 1051, 728, 1052)(702, 1026, 729, 1053, 730, 1054)(703, 1027, 731, 1055, 732, 1056)(704, 1028, 733, 1057, 734, 1058)(705, 1029, 735, 1059, 736, 1060)(706, 1030, 737, 1061, 738, 1062)(739, 1063, 770, 1094, 771, 1095)(740, 1064, 772, 1096, 773, 1097)(741, 1065, 774, 1098, 775, 1099)(742, 1066, 776, 1100, 777, 1101)(743, 1067, 778, 1102, 779, 1103)(744, 1068, 780, 1104, 781, 1105)(745, 1069, 782, 1106, 783, 1107)(746, 1070, 784, 1108, 785, 1109)(747, 1071, 786, 1110, 787, 1111)(748, 1072, 788, 1112, 789, 1113)(749, 1073, 790, 1114, 791, 1115)(750, 1074, 792, 1116, 793, 1117)(751, 1075, 794, 1118, 795, 1119)(752, 1076, 796, 1120, 797, 1121)(753, 1077, 798, 1122, 799, 1123)(754, 1078, 800, 1124, 755, 1079)(756, 1080, 801, 1125, 802, 1126)(757, 1081, 803, 1127, 804, 1128)(758, 1082, 805, 1129, 806, 1130)(759, 1083, 807, 1131, 808, 1132)(760, 1084, 809, 1133, 810, 1134)(761, 1085, 811, 1135, 812, 1136)(762, 1086, 813, 1137, 814, 1138)(763, 1087, 815, 1139, 816, 1140)(764, 1088, 817, 1141, 818, 1142)(765, 1089, 819, 1143, 820, 1144)(766, 1090, 821, 1145, 822, 1146)(767, 1091, 823, 1147, 824, 1148)(768, 1092, 825, 1149, 826, 1150)(769, 1093, 827, 1151, 828, 1152)(829, 1153, 863, 1187, 864, 1188)(830, 1154, 839, 1163, 865, 1189)(831, 1155, 844, 1168, 866, 1190)(832, 1156, 867, 1191, 868, 1192)(833, 1157, 869, 1193, 870, 1194)(834, 1158, 871, 1195, 872, 1196)(835, 1159, 873, 1197, 874, 1198)(836, 1160, 845, 1169, 875, 1199)(837, 1161, 876, 1200, 877, 1201)(838, 1162, 878, 1202, 879, 1203)(840, 1164, 880, 1204, 881, 1205)(841, 1165, 882, 1206, 883, 1207)(842, 1166, 884, 1208, 885, 1209)(843, 1167, 886, 1210, 887, 1211)(846, 1170, 888, 1212, 889, 1213)(847, 1171, 856, 1180, 890, 1214)(848, 1172, 861, 1185, 891, 1215)(849, 1173, 892, 1216, 893, 1217)(850, 1174, 894, 1218, 895, 1219)(851, 1175, 896, 1220, 897, 1221)(852, 1176, 898, 1222, 899, 1223)(853, 1177, 862, 1186, 900, 1224)(854, 1178, 901, 1225, 902, 1226)(855, 1179, 903, 1227, 904, 1228)(857, 1181, 905, 1229, 906, 1230)(858, 1182, 907, 1231, 908, 1232)(859, 1183, 909, 1233, 910, 1234)(860, 1184, 911, 1235, 912, 1236)(913, 1237, 921, 1245, 945, 1269)(914, 1238, 923, 1247, 946, 1270)(915, 1239, 948, 1272, 951, 1275)(916, 1240, 950, 1274, 936, 1260)(917, 1241, 935, 1259, 931, 1255)(918, 1242, 924, 1248, 952, 1276)(919, 1243, 941, 1265, 953, 1277)(920, 1244, 954, 1278, 955, 1279)(922, 1246, 956, 1280, 938, 1262)(925, 1249, 930, 1254, 957, 1281)(926, 1250, 932, 1256, 940, 1264)(927, 1251, 933, 1257, 942, 1266)(928, 1252, 958, 1282, 959, 1283)(929, 1253, 960, 1284, 934, 1258)(937, 1261, 943, 1267, 961, 1285)(939, 1263, 962, 1286, 963, 1287)(944, 1268, 949, 1273, 964, 1288)(947, 1271, 965, 1289, 966, 1290)(967, 1291, 968, 1292, 971, 1295)(969, 1293, 972, 1296, 970, 1294)
	L = (1, 650)(2, 649)(3, 655)(4, 656)(5, 657)(6, 658)(7, 651)(8, 652)(9, 653)(10, 654)(11, 667)(12, 668)(13, 669)(14, 670)(15, 671)(16, 672)(17, 673)(18, 674)(19, 659)(20, 660)(21, 661)(22, 662)(23, 663)(24, 664)(25, 665)(26, 666)(27, 691)(28, 692)(29, 693)(30, 694)(31, 695)(32, 696)(33, 697)(34, 698)(35, 699)(36, 700)(37, 701)(38, 702)(39, 703)(40, 704)(41, 705)(42, 706)(43, 675)(44, 676)(45, 677)(46, 678)(47, 679)(48, 680)(49, 681)(50, 682)(51, 683)(52, 684)(53, 685)(54, 686)(55, 687)(56, 688)(57, 689)(58, 690)(59, 739)(60, 740)(61, 741)(62, 742)(63, 743)(64, 744)(65, 745)(66, 746)(67, 747)(68, 748)(69, 749)(70, 750)(71, 751)(72, 752)(73, 753)(74, 754)(75, 755)(76, 756)(77, 757)(78, 758)(79, 759)(80, 760)(81, 761)(82, 762)(83, 763)(84, 764)(85, 765)(86, 766)(87, 767)(88, 768)(89, 769)(90, 770)(91, 707)(92, 708)(93, 709)(94, 710)(95, 711)(96, 712)(97, 713)(98, 714)(99, 715)(100, 716)(101, 717)(102, 718)(103, 719)(104, 720)(105, 721)(106, 722)(107, 723)(108, 724)(109, 725)(110, 726)(111, 727)(112, 728)(113, 729)(114, 730)(115, 731)(116, 732)(117, 733)(118, 734)(119, 735)(120, 736)(121, 737)(122, 738)(123, 829)(124, 830)(125, 831)(126, 803)(127, 832)(128, 811)(129, 833)(130, 834)(131, 817)(132, 835)(133, 836)(134, 805)(135, 821)(136, 837)(137, 786)(138, 785)(139, 838)(140, 808)(141, 824)(142, 839)(143, 840)(144, 812)(145, 841)(146, 842)(147, 818)(148, 843)(149, 826)(150, 844)(151, 845)(152, 846)(153, 847)(154, 848)(155, 774)(156, 849)(157, 782)(158, 850)(159, 851)(160, 788)(161, 852)(162, 853)(163, 776)(164, 792)(165, 854)(166, 815)(167, 814)(168, 855)(169, 779)(170, 795)(171, 856)(172, 857)(173, 783)(174, 858)(175, 859)(176, 789)(177, 860)(178, 797)(179, 861)(180, 862)(181, 771)(182, 772)(183, 773)(184, 775)(185, 777)(186, 778)(187, 780)(188, 781)(189, 784)(190, 787)(191, 790)(192, 791)(193, 793)(194, 794)(195, 796)(196, 798)(197, 799)(198, 800)(199, 801)(200, 802)(201, 804)(202, 806)(203, 807)(204, 809)(205, 810)(206, 813)(207, 816)(208, 819)(209, 820)(210, 822)(211, 823)(212, 825)(213, 827)(214, 828)(215, 913)(216, 914)(217, 915)(218, 916)(219, 917)(220, 918)(221, 919)(222, 871)(223, 870)(224, 920)(225, 921)(226, 899)(227, 922)(228, 923)(229, 924)(230, 925)(231, 926)(232, 905)(233, 927)(234, 928)(235, 884)(236, 883)(237, 929)(238, 930)(239, 931)(240, 932)(241, 933)(242, 934)(243, 935)(244, 936)(245, 937)(246, 938)(247, 896)(248, 895)(249, 939)(250, 940)(251, 874)(252, 941)(253, 942)(254, 943)(255, 944)(256, 945)(257, 880)(258, 946)(259, 947)(260, 909)(261, 908)(262, 948)(263, 949)(264, 950)(265, 863)(266, 864)(267, 865)(268, 866)(269, 867)(270, 868)(271, 869)(272, 872)(273, 873)(274, 875)(275, 876)(276, 877)(277, 878)(278, 879)(279, 881)(280, 882)(281, 885)(282, 886)(283, 887)(284, 888)(285, 889)(286, 890)(287, 891)(288, 892)(289, 893)(290, 894)(291, 897)(292, 898)(293, 900)(294, 901)(295, 902)(296, 903)(297, 904)(298, 906)(299, 907)(300, 910)(301, 911)(302, 912)(303, 967)(304, 958)(305, 968)(306, 966)(307, 957)(308, 969)(309, 955)(310, 952)(311, 962)(312, 970)(313, 965)(314, 959)(315, 964)(316, 963)(317, 961)(318, 954)(319, 951)(320, 953)(321, 956)(322, 960)(323, 972)(324, 971)(325, 973)(326, 974)(327, 975)(328, 976)(329, 977)(330, 978)(331, 979)(332, 980)(333, 981)(334, 982)(335, 983)(336, 984)(337, 985)(338, 986)(339, 987)(340, 988)(341, 989)(342, 990)(343, 991)(344, 992)(345, 993)(346, 994)(347, 995)(348, 996)(349, 997)(350, 998)(351, 999)(352, 1000)(353, 1001)(354, 1002)(355, 1003)(356, 1004)(357, 1005)(358, 1006)(359, 1007)(360, 1008)(361, 1009)(362, 1010)(363, 1011)(364, 1012)(365, 1013)(366, 1014)(367, 1015)(368, 1016)(369, 1017)(370, 1018)(371, 1019)(372, 1020)(373, 1021)(374, 1022)(375, 1023)(376, 1024)(377, 1025)(378, 1026)(379, 1027)(380, 1028)(381, 1029)(382, 1030)(383, 1031)(384, 1032)(385, 1033)(386, 1034)(387, 1035)(388, 1036)(389, 1037)(390, 1038)(391, 1039)(392, 1040)(393, 1041)(394, 1042)(395, 1043)(396, 1044)(397, 1045)(398, 1046)(399, 1047)(400, 1048)(401, 1049)(402, 1050)(403, 1051)(404, 1052)(405, 1053)(406, 1054)(407, 1055)(408, 1056)(409, 1057)(410, 1058)(411, 1059)(412, 1060)(413, 1061)(414, 1062)(415, 1063)(416, 1064)(417, 1065)(418, 1066)(419, 1067)(420, 1068)(421, 1069)(422, 1070)(423, 1071)(424, 1072)(425, 1073)(426, 1074)(427, 1075)(428, 1076)(429, 1077)(430, 1078)(431, 1079)(432, 1080)(433, 1081)(434, 1082)(435, 1083)(436, 1084)(437, 1085)(438, 1086)(439, 1087)(440, 1088)(441, 1089)(442, 1090)(443, 1091)(444, 1092)(445, 1093)(446, 1094)(447, 1095)(448, 1096)(449, 1097)(450, 1098)(451, 1099)(452, 1100)(453, 1101)(454, 1102)(455, 1103)(456, 1104)(457, 1105)(458, 1106)(459, 1107)(460, 1108)(461, 1109)(462, 1110)(463, 1111)(464, 1112)(465, 1113)(466, 1114)(467, 1115)(468, 1116)(469, 1117)(470, 1118)(471, 1119)(472, 1120)(473, 1121)(474, 1122)(475, 1123)(476, 1124)(477, 1125)(478, 1126)(479, 1127)(480, 1128)(481, 1129)(482, 1130)(483, 1131)(484, 1132)(485, 1133)(486, 1134)(487, 1135)(488, 1136)(489, 1137)(490, 1138)(491, 1139)(492, 1140)(493, 1141)(494, 1142)(495, 1143)(496, 1144)(497, 1145)(498, 1146)(499, 1147)(500, 1148)(501, 1149)(502, 1150)(503, 1151)(504, 1152)(505, 1153)(506, 1154)(507, 1155)(508, 1156)(509, 1157)(510, 1158)(511, 1159)(512, 1160)(513, 1161)(514, 1162)(515, 1163)(516, 1164)(517, 1165)(518, 1166)(519, 1167)(520, 1168)(521, 1169)(522, 1170)(523, 1171)(524, 1172)(525, 1173)(526, 1174)(527, 1175)(528, 1176)(529, 1177)(530, 1178)(531, 1179)(532, 1180)(533, 1181)(534, 1182)(535, 1183)(536, 1184)(537, 1185)(538, 1186)(539, 1187)(540, 1188)(541, 1189)(542, 1190)(543, 1191)(544, 1192)(545, 1193)(546, 1194)(547, 1195)(548, 1196)(549, 1197)(550, 1198)(551, 1199)(552, 1200)(553, 1201)(554, 1202)(555, 1203)(556, 1204)(557, 1205)(558, 1206)(559, 1207)(560, 1208)(561, 1209)(562, 1210)(563, 1211)(564, 1212)(565, 1213)(566, 1214)(567, 1215)(568, 1216)(569, 1217)(570, 1218)(571, 1219)(572, 1220)(573, 1221)(574, 1222)(575, 1223)(576, 1224)(577, 1225)(578, 1226)(579, 1227)(580, 1228)(581, 1229)(582, 1230)(583, 1231)(584, 1232)(585, 1233)(586, 1234)(587, 1235)(588, 1236)(589, 1237)(590, 1238)(591, 1239)(592, 1240)(593, 1241)(594, 1242)(595, 1243)(596, 1244)(597, 1245)(598, 1246)(599, 1247)(600, 1248)(601, 1249)(602, 1250)(603, 1251)(604, 1252)(605, 1253)(606, 1254)(607, 1255)(608, 1256)(609, 1257)(610, 1258)(611, 1259)(612, 1260)(613, 1261)(614, 1262)(615, 1263)(616, 1264)(617, 1265)(618, 1266)(619, 1267)(620, 1268)(621, 1269)(622, 1270)(623, 1271)(624, 1272)(625, 1273)(626, 1274)(627, 1275)(628, 1276)(629, 1277)(630, 1278)(631, 1279)(632, 1280)(633, 1281)(634, 1282)(635, 1283)(636, 1284)(637, 1285)(638, 1286)(639, 1287)(640, 1288)(641, 1289)(642, 1290)(643, 1291)(644, 1292)(645, 1293)(646, 1294)(647, 1295)(648, 1296)
	local type(s) :: { ( 2, 18, 2, 18 ), ( 2, 18, 2, 18, 2, 18 ) }
Outer automorphisms :: reflexible
Dual of E10.962
Graph:: bipartite
	v = 270 e = 648 f = 360
	degree seq :: [ 4^162, 6^108 ]

E10.960 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 9})
Quotient :: dipole
Aut^+ = ((C3 x ((C3 x C3) : C2)) : C2) : C3 (small group id <324, 160>)
Aut   = $<648, 703>$ (small group id <648, 703>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, Y1^3, (Y2^-1 * Y1^-1)^2, (R * Y3)^2, (Y3^-1 * Y1^-1)^2, (R * Y1)^2, Y2^9, Y2^2 * Y1^-1 * Y2^2 * Y1^-1 * Y2^-3 * Y1 * Y2^-3 * Y1^-1, Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-2 * Y1 * Y2^-2 * Y1^-1 * Y2^-4 * Y1 * Y2^-2 ]
Map::
	R = (1, 325, 2, 326, 4, 328)(3, 327, 8, 332, 10, 334)(5, 329, 12, 336, 6, 330)(7, 331, 15, 339, 11, 335)(9, 333, 18, 342, 20, 344)(13, 337, 25, 349, 23, 347)(14, 338, 24, 348, 28, 352)(16, 340, 31, 355, 29, 353)(17, 341, 33, 357, 21, 345)(19, 343, 36, 360, 38, 362)(22, 346, 30, 354, 42, 366)(26, 350, 47, 371, 45, 369)(27, 351, 49, 373, 51, 375)(32, 356, 57, 381, 55, 379)(34, 358, 61, 385, 59, 383)(35, 359, 63, 387, 39, 363)(37, 361, 66, 390, 67, 391)(40, 364, 60, 384, 71, 395)(41, 365, 72, 396, 74, 398)(43, 367, 46, 370, 77, 401)(44, 368, 78, 402, 52, 376)(48, 372, 84, 408, 82, 406)(50, 374, 86, 410, 87, 411)(53, 377, 56, 380, 91, 415)(54, 378, 92, 416, 75, 399)(58, 382, 98, 422, 96, 420)(62, 386, 103, 427, 101, 425)(64, 388, 106, 430, 104, 428)(65, 389, 108, 432, 68, 392)(69, 393, 105, 429, 114, 438)(70, 394, 115, 439, 117, 441)(73, 397, 120, 444, 121, 445)(76, 400, 124, 448, 126, 450)(79, 403, 130, 454, 128, 452)(80, 404, 83, 407, 133, 457)(81, 405, 134, 458, 127, 451)(85, 409, 139, 463, 88, 412)(89, 413, 129, 453, 145, 469)(90, 414, 146, 470, 148, 472)(93, 417, 152, 476, 150, 474)(94, 418, 97, 421, 155, 479)(95, 419, 156, 480, 149, 473)(99, 423, 102, 426, 162, 486)(100, 424, 163, 487, 118, 442)(107, 431, 172, 496, 170, 494)(109, 433, 154, 478, 173, 497)(110, 434, 176, 500, 111, 435)(112, 436, 174, 498, 180, 504)(113, 437, 143, 467, 182, 506)(116, 440, 185, 509, 186, 510)(119, 443, 189, 513, 122, 446)(123, 447, 151, 475, 179, 503)(125, 449, 195, 519, 196, 520)(131, 455, 201, 525, 199, 523)(132, 456, 202, 526, 190, 514)(135, 459, 206, 530, 166, 490)(136, 460, 138, 462, 209, 533)(137, 461, 157, 481, 204, 528)(140, 464, 161, 485, 211, 535)(141, 465, 213, 537, 142, 466)(144, 468, 193, 517, 217, 541)(147, 471, 219, 543, 220, 544)(153, 477, 224, 548, 223, 547)(158, 482, 160, 484, 230, 554)(159, 483, 164, 488, 226, 550)(165, 489, 167, 491, 236, 560)(168, 492, 171, 495, 200, 524)(169, 493, 238, 562, 183, 507)(175, 499, 243, 567, 225, 549)(177, 501, 235, 559, 244, 568)(178, 502, 245, 569, 248, 572)(181, 505, 251, 575, 252, 576)(184, 508, 194, 518, 187, 511)(188, 512, 233, 557, 247, 571)(191, 515, 257, 581, 192, 516)(197, 521, 205, 529, 263, 587)(198, 522, 264, 588, 218, 542)(203, 527, 256, 580, 268, 592)(207, 531, 272, 596, 271, 595)(208, 532, 273, 597, 214, 538)(210, 534, 265, 589, 275, 599)(212, 536, 276, 600, 232, 556)(215, 539, 277, 601, 262, 586)(216, 540, 278, 602, 279, 603)(221, 545, 227, 551, 284, 608)(222, 546, 285, 609, 249, 573)(228, 552, 290, 614, 269, 593)(229, 553, 291, 615, 258, 582)(231, 555, 286, 610, 293, 617)(234, 558, 294, 618, 289, 613)(237, 561, 239, 563, 295, 619)(240, 564, 241, 565, 297, 621)(242, 566, 299, 623, 250, 574)(246, 570, 302, 626, 270, 594)(253, 577, 296, 620, 274, 598)(254, 578, 306, 630, 255, 579)(259, 583, 308, 632, 283, 607)(260, 584, 301, 625, 261, 585)(266, 590, 267, 591, 310, 634)(280, 604, 303, 627, 292, 616)(281, 605, 313, 637, 282, 606)(287, 611, 288, 612, 317, 641)(298, 622, 300, 624, 319, 643)(304, 628, 321, 645, 305, 629)(307, 631, 322, 646, 312, 636)(309, 633, 320, 644, 311, 635)(314, 638, 324, 648, 315, 639)(316, 640, 323, 647, 318, 642)(649, 973, 651, 975, 657, 981, 667, 991, 685, 1009, 696, 1020, 674, 998, 661, 985, 653, 977)(650, 974, 654, 978, 662, 986, 675, 999, 698, 1022, 706, 1030, 680, 1004, 664, 988, 655, 979)(652, 976, 659, 983, 670, 994, 689, 1013, 721, 1045, 710, 1034, 682, 1006, 665, 989, 656, 980)(658, 982, 669, 993, 688, 1012, 718, 1042, 764, 1088, 755, 1079, 712, 1036, 683, 1007, 666, 990)(660, 984, 671, 995, 691, 1015, 724, 1048, 773, 1097, 779, 1103, 727, 1051, 692, 1016, 672, 996)(663, 987, 677, 1001, 701, 1025, 738, 1062, 795, 1119, 801, 1125, 741, 1065, 702, 1026, 678, 1002)(668, 992, 687, 1011, 717, 1041, 761, 1085, 829, 1153, 823, 1147, 757, 1081, 713, 1037, 684, 1008)(673, 997, 693, 1017, 728, 1052, 780, 1104, 851, 1175, 855, 1179, 783, 1107, 729, 1053, 694, 1018)(676, 1000, 700, 1024, 737, 1061, 792, 1116, 864, 1188, 860, 1184, 788, 1112, 733, 1057, 697, 1021)(679, 1003, 703, 1027, 742, 1066, 802, 1126, 873, 1197, 876, 1200, 805, 1129, 743, 1067, 704, 1028)(681, 1005, 707, 1031, 747, 1071, 809, 1133, 880, 1204, 882, 1206, 812, 1136, 748, 1072, 708, 1032)(686, 1010, 716, 1040, 760, 1084, 827, 1151, 897, 1221, 894, 1218, 825, 1149, 758, 1082, 714, 1038)(690, 1014, 723, 1047, 771, 1095, 828, 1152, 898, 1222, 904, 1228, 838, 1162, 767, 1091, 720, 1044)(695, 1019, 730, 1054, 784, 1108, 856, 1180, 922, 1246, 875, 1199, 804, 1128, 785, 1109, 731, 1055)(699, 1023, 736, 1060, 791, 1115, 762, 1086, 831, 1155, 901, 1225, 862, 1186, 789, 1113, 734, 1058)(705, 1029, 744, 1068, 806, 1130, 877, 1201, 940, 1264, 881, 1205, 811, 1135, 807, 1131, 745, 1069)(709, 1033, 749, 1073, 813, 1137, 883, 1207, 918, 1242, 853, 1177, 782, 1106, 814, 1138, 750, 1074)(711, 1035, 752, 1076, 816, 1140, 800, 1124, 871, 1195, 935, 1259, 887, 1211, 817, 1141, 753, 1077)(715, 1039, 759, 1083, 826, 1150, 895, 1219, 951, 1275, 912, 1236, 858, 1182, 786, 1110, 732, 1056)(719, 1043, 766, 1090, 836, 1160, 896, 1220, 908, 1232, 843, 1167, 774, 1098, 832, 1156, 763, 1087)(722, 1046, 770, 1094, 841, 1165, 793, 1117, 866, 1190, 928, 1252, 906, 1230, 839, 1163, 768, 1092)(725, 1049, 775, 1099, 845, 1169, 910, 1234, 929, 1253, 867, 1191, 796, 1120, 842, 1166, 772, 1096)(726, 1050, 776, 1100, 819, 1143, 754, 1078, 818, 1142, 888, 1212, 913, 1237, 846, 1170, 777, 1101)(735, 1059, 790, 1114, 863, 1187, 911, 1235, 950, 1274, 933, 1257, 879, 1203, 808, 1132, 746, 1070)(739, 1063, 797, 1121, 869, 1193, 931, 1255, 902, 1226, 833, 1157, 765, 1089, 835, 1159, 794, 1118)(740, 1064, 798, 1122, 848, 1172, 778, 1102, 847, 1171, 914, 1238, 934, 1258, 870, 1194, 799, 1123)(751, 1075, 769, 1093, 840, 1164, 907, 1231, 932, 1256, 944, 1268, 886, 1210, 885, 1209, 815, 1139)(756, 1080, 821, 1145, 803, 1127, 874, 1198, 937, 1261, 966, 1290, 948, 1272, 890, 1214, 822, 1146)(781, 1105, 852, 1176, 917, 1241, 959, 1283, 962, 1286, 926, 1250, 865, 1189, 837, 1161, 850, 1174)(787, 1111, 859, 1183, 810, 1134, 854, 1178, 919, 1243, 960, 1284, 952, 1276, 899, 1223, 830, 1154)(820, 1144, 834, 1158, 903, 1227, 955, 1279, 920, 1244, 916, 1240, 947, 1271, 946, 1270, 889, 1213)(824, 1148, 892, 1216, 884, 1208, 943, 1267, 965, 1289, 972, 1296, 968, 1292, 949, 1273, 893, 1217)(844, 1168, 909, 1233, 957, 1281, 938, 1262, 891, 1215, 900, 1224, 953, 1277, 915, 1239, 849, 1173)(857, 1181, 923, 1247, 945, 1269, 967, 1291, 971, 1295, 961, 1285, 925, 1249, 861, 1185, 921, 1245)(868, 1192, 930, 1254, 964, 1288, 942, 1266, 924, 1248, 927, 1251, 963, 1287, 936, 1260, 872, 1196)(878, 1202, 941, 1265, 958, 1282, 969, 1293, 970, 1294, 954, 1278, 956, 1280, 905, 1229, 939, 1263)
	L = (1, 651)(2, 654)(3, 657)(4, 659)(5, 649)(6, 662)(7, 650)(8, 652)(9, 667)(10, 669)(11, 670)(12, 671)(13, 653)(14, 675)(15, 677)(16, 655)(17, 656)(18, 658)(19, 685)(20, 687)(21, 688)(22, 689)(23, 691)(24, 660)(25, 693)(26, 661)(27, 698)(28, 700)(29, 701)(30, 663)(31, 703)(32, 664)(33, 707)(34, 665)(35, 666)(36, 668)(37, 696)(38, 716)(39, 717)(40, 718)(41, 721)(42, 723)(43, 724)(44, 672)(45, 728)(46, 673)(47, 730)(48, 674)(49, 676)(50, 706)(51, 736)(52, 737)(53, 738)(54, 678)(55, 742)(56, 679)(57, 744)(58, 680)(59, 747)(60, 681)(61, 749)(62, 682)(63, 752)(64, 683)(65, 684)(66, 686)(67, 759)(68, 760)(69, 761)(70, 764)(71, 766)(72, 690)(73, 710)(74, 770)(75, 771)(76, 773)(77, 775)(78, 776)(79, 692)(80, 780)(81, 694)(82, 784)(83, 695)(84, 715)(85, 697)(86, 699)(87, 790)(88, 791)(89, 792)(90, 795)(91, 797)(92, 798)(93, 702)(94, 802)(95, 704)(96, 806)(97, 705)(98, 735)(99, 809)(100, 708)(101, 813)(102, 709)(103, 769)(104, 816)(105, 711)(106, 818)(107, 712)(108, 821)(109, 713)(110, 714)(111, 826)(112, 827)(113, 829)(114, 831)(115, 719)(116, 755)(117, 835)(118, 836)(119, 720)(120, 722)(121, 840)(122, 841)(123, 828)(124, 725)(125, 779)(126, 832)(127, 845)(128, 819)(129, 726)(130, 847)(131, 727)(132, 851)(133, 852)(134, 814)(135, 729)(136, 856)(137, 731)(138, 732)(139, 859)(140, 733)(141, 734)(142, 863)(143, 762)(144, 864)(145, 866)(146, 739)(147, 801)(148, 842)(149, 869)(150, 848)(151, 740)(152, 871)(153, 741)(154, 873)(155, 874)(156, 785)(157, 743)(158, 877)(159, 745)(160, 746)(161, 880)(162, 854)(163, 807)(164, 748)(165, 883)(166, 750)(167, 751)(168, 800)(169, 753)(170, 888)(171, 754)(172, 834)(173, 803)(174, 756)(175, 757)(176, 892)(177, 758)(178, 895)(179, 897)(180, 898)(181, 823)(182, 787)(183, 901)(184, 763)(185, 765)(186, 903)(187, 794)(188, 896)(189, 850)(190, 767)(191, 768)(192, 907)(193, 793)(194, 772)(195, 774)(196, 909)(197, 910)(198, 777)(199, 914)(200, 778)(201, 844)(202, 781)(203, 855)(204, 917)(205, 782)(206, 919)(207, 783)(208, 922)(209, 923)(210, 786)(211, 810)(212, 788)(213, 921)(214, 789)(215, 911)(216, 860)(217, 837)(218, 928)(219, 796)(220, 930)(221, 931)(222, 799)(223, 935)(224, 868)(225, 876)(226, 937)(227, 804)(228, 805)(229, 940)(230, 941)(231, 808)(232, 882)(233, 811)(234, 812)(235, 918)(236, 943)(237, 815)(238, 885)(239, 817)(240, 913)(241, 820)(242, 822)(243, 900)(244, 884)(245, 824)(246, 825)(247, 951)(248, 908)(249, 894)(250, 904)(251, 830)(252, 953)(253, 862)(254, 833)(255, 955)(256, 838)(257, 939)(258, 839)(259, 932)(260, 843)(261, 957)(262, 929)(263, 950)(264, 858)(265, 846)(266, 934)(267, 849)(268, 947)(269, 959)(270, 853)(271, 960)(272, 916)(273, 857)(274, 875)(275, 945)(276, 927)(277, 861)(278, 865)(279, 963)(280, 906)(281, 867)(282, 964)(283, 902)(284, 944)(285, 879)(286, 870)(287, 887)(288, 872)(289, 966)(290, 891)(291, 878)(292, 881)(293, 958)(294, 924)(295, 965)(296, 886)(297, 967)(298, 889)(299, 946)(300, 890)(301, 893)(302, 933)(303, 912)(304, 899)(305, 915)(306, 956)(307, 920)(308, 905)(309, 938)(310, 969)(311, 962)(312, 952)(313, 925)(314, 926)(315, 936)(316, 942)(317, 972)(318, 948)(319, 971)(320, 949)(321, 970)(322, 954)(323, 961)(324, 968)(325, 973)(326, 974)(327, 975)(328, 976)(329, 977)(330, 978)(331, 979)(332, 980)(333, 981)(334, 982)(335, 983)(336, 984)(337, 985)(338, 986)(339, 987)(340, 988)(341, 989)(342, 990)(343, 991)(344, 992)(345, 993)(346, 994)(347, 995)(348, 996)(349, 997)(350, 998)(351, 999)(352, 1000)(353, 1001)(354, 1002)(355, 1003)(356, 1004)(357, 1005)(358, 1006)(359, 1007)(360, 1008)(361, 1009)(362, 1010)(363, 1011)(364, 1012)(365, 1013)(366, 1014)(367, 1015)(368, 1016)(369, 1017)(370, 1018)(371, 1019)(372, 1020)(373, 1021)(374, 1022)(375, 1023)(376, 1024)(377, 1025)(378, 1026)(379, 1027)(380, 1028)(381, 1029)(382, 1030)(383, 1031)(384, 1032)(385, 1033)(386, 1034)(387, 1035)(388, 1036)(389, 1037)(390, 1038)(391, 1039)(392, 1040)(393, 1041)(394, 1042)(395, 1043)(396, 1044)(397, 1045)(398, 1046)(399, 1047)(400, 1048)(401, 1049)(402, 1050)(403, 1051)(404, 1052)(405, 1053)(406, 1054)(407, 1055)(408, 1056)(409, 1057)(410, 1058)(411, 1059)(412, 1060)(413, 1061)(414, 1062)(415, 1063)(416, 1064)(417, 1065)(418, 1066)(419, 1067)(420, 1068)(421, 1069)(422, 1070)(423, 1071)(424, 1072)(425, 1073)(426, 1074)(427, 1075)(428, 1076)(429, 1077)(430, 1078)(431, 1079)(432, 1080)(433, 1081)(434, 1082)(435, 1083)(436, 1084)(437, 1085)(438, 1086)(439, 1087)(440, 1088)(441, 1089)(442, 1090)(443, 1091)(444, 1092)(445, 1093)(446, 1094)(447, 1095)(448, 1096)(449, 1097)(450, 1098)(451, 1099)(452, 1100)(453, 1101)(454, 1102)(455, 1103)(456, 1104)(457, 1105)(458, 1106)(459, 1107)(460, 1108)(461, 1109)(462, 1110)(463, 1111)(464, 1112)(465, 1113)(466, 1114)(467, 1115)(468, 1116)(469, 1117)(470, 1118)(471, 1119)(472, 1120)(473, 1121)(474, 1122)(475, 1123)(476, 1124)(477, 1125)(478, 1126)(479, 1127)(480, 1128)(481, 1129)(482, 1130)(483, 1131)(484, 1132)(485, 1133)(486, 1134)(487, 1135)(488, 1136)(489, 1137)(490, 1138)(491, 1139)(492, 1140)(493, 1141)(494, 1142)(495, 1143)(496, 1144)(497, 1145)(498, 1146)(499, 1147)(500, 1148)(501, 1149)(502, 1150)(503, 1151)(504, 1152)(505, 1153)(506, 1154)(507, 1155)(508, 1156)(509, 1157)(510, 1158)(511, 1159)(512, 1160)(513, 1161)(514, 1162)(515, 1163)(516, 1164)(517, 1165)(518, 1166)(519, 1167)(520, 1168)(521, 1169)(522, 1170)(523, 1171)(524, 1172)(525, 1173)(526, 1174)(527, 1175)(528, 1176)(529, 1177)(530, 1178)(531, 1179)(532, 1180)(533, 1181)(534, 1182)(535, 1183)(536, 1184)(537, 1185)(538, 1186)(539, 1187)(540, 1188)(541, 1189)(542, 1190)(543, 1191)(544, 1192)(545, 1193)(546, 1194)(547, 1195)(548, 1196)(549, 1197)(550, 1198)(551, 1199)(552, 1200)(553, 1201)(554, 1202)(555, 1203)(556, 1204)(557, 1205)(558, 1206)(559, 1207)(560, 1208)(561, 1209)(562, 1210)(563, 1211)(564, 1212)(565, 1213)(566, 1214)(567, 1215)(568, 1216)(569, 1217)(570, 1218)(571, 1219)(572, 1220)(573, 1221)(574, 1222)(575, 1223)(576, 1224)(577, 1225)(578, 1226)(579, 1227)(580, 1228)(581, 1229)(582, 1230)(583, 1231)(584, 1232)(585, 1233)(586, 1234)(587, 1235)(588, 1236)(589, 1237)(590, 1238)(591, 1239)(592, 1240)(593, 1241)(594, 1242)(595, 1243)(596, 1244)(597, 1245)(598, 1246)(599, 1247)(600, 1248)(601, 1249)(602, 1250)(603, 1251)(604, 1252)(605, 1253)(606, 1254)(607, 1255)(608, 1256)(609, 1257)(610, 1258)(611, 1259)(612, 1260)(613, 1261)(614, 1262)(615, 1263)(616, 1264)(617, 1265)(618, 1266)(619, 1267)(620, 1268)(621, 1269)(622, 1270)(623, 1271)(624, 1272)(625, 1273)(626, 1274)(627, 1275)(628, 1276)(629, 1277)(630, 1278)(631, 1279)(632, 1280)(633, 1281)(634, 1282)(635, 1283)(636, 1284)(637, 1285)(638, 1286)(639, 1287)(640, 1288)(641, 1289)(642, 1290)(643, 1291)(644, 1292)(645, 1293)(646, 1294)(647, 1295)(648, 1296)
	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 E10.961
Graph:: bipartite
	v = 144 e = 648 f = 486
	degree seq :: [ 6^108, 18^36 ]

E10.961 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 9})
Quotient :: dipole
Aut^+ = ((C3 x ((C3 x C3) : C2)) : C2) : C3 (small group id <324, 160>)
Aut   = $<648, 703>$ (small group id <648, 703>)
|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 * Y3^3 * Y2 * Y3^-2 * Y2 * Y3 * Y2 * Y3^-2 * Y2 * Y3, (Y3^-1 * Y1^-1)^9, (Y3^-1 * Y2 * Y3^4 * Y2 * Y3^-3)^2 ]
Map:: polytopal
	R = (1, 325)(2, 326)(3, 327)(4, 328)(5, 329)(6, 330)(7, 331)(8, 332)(9, 333)(10, 334)(11, 335)(12, 336)(13, 337)(14, 338)(15, 339)(16, 340)(17, 341)(18, 342)(19, 343)(20, 344)(21, 345)(22, 346)(23, 347)(24, 348)(25, 349)(26, 350)(27, 351)(28, 352)(29, 353)(30, 354)(31, 355)(32, 356)(33, 357)(34, 358)(35, 359)(36, 360)(37, 361)(38, 362)(39, 363)(40, 364)(41, 365)(42, 366)(43, 367)(44, 368)(45, 369)(46, 370)(47, 371)(48, 372)(49, 373)(50, 374)(51, 375)(52, 376)(53, 377)(54, 378)(55, 379)(56, 380)(57, 381)(58, 382)(59, 383)(60, 384)(61, 385)(62, 386)(63, 387)(64, 388)(65, 389)(66, 390)(67, 391)(68, 392)(69, 393)(70, 394)(71, 395)(72, 396)(73, 397)(74, 398)(75, 399)(76, 400)(77, 401)(78, 402)(79, 403)(80, 404)(81, 405)(82, 406)(83, 407)(84, 408)(85, 409)(86, 410)(87, 411)(88, 412)(89, 413)(90, 414)(91, 415)(92, 416)(93, 417)(94, 418)(95, 419)(96, 420)(97, 421)(98, 422)(99, 423)(100, 424)(101, 425)(102, 426)(103, 427)(104, 428)(105, 429)(106, 430)(107, 431)(108, 432)(109, 433)(110, 434)(111, 435)(112, 436)(113, 437)(114, 438)(115, 439)(116, 440)(117, 441)(118, 442)(119, 443)(120, 444)(121, 445)(122, 446)(123, 447)(124, 448)(125, 449)(126, 450)(127, 451)(128, 452)(129, 453)(130, 454)(131, 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, 475)(152, 476)(153, 477)(154, 478)(155, 479)(156, 480)(157, 481)(158, 482)(159, 483)(160, 484)(161, 485)(162, 486)(163, 487)(164, 488)(165, 489)(166, 490)(167, 491)(168, 492)(169, 493)(170, 494)(171, 495)(172, 496)(173, 497)(174, 498)(175, 499)(176, 500)(177, 501)(178, 502)(179, 503)(180, 504)(181, 505)(182, 506)(183, 507)(184, 508)(185, 509)(186, 510)(187, 511)(188, 512)(189, 513)(190, 514)(191, 515)(192, 516)(193, 517)(194, 518)(195, 519)(196, 520)(197, 521)(198, 522)(199, 523)(200, 524)(201, 525)(202, 526)(203, 527)(204, 528)(205, 529)(206, 530)(207, 531)(208, 532)(209, 533)(210, 534)(211, 535)(212, 536)(213, 537)(214, 538)(215, 539)(216, 540)(217, 541)(218, 542)(219, 543)(220, 544)(221, 545)(222, 546)(223, 547)(224, 548)(225, 549)(226, 550)(227, 551)(228, 552)(229, 553)(230, 554)(231, 555)(232, 556)(233, 557)(234, 558)(235, 559)(236, 560)(237, 561)(238, 562)(239, 563)(240, 564)(241, 565)(242, 566)(243, 567)(244, 568)(245, 569)(246, 570)(247, 571)(248, 572)(249, 573)(250, 574)(251, 575)(252, 576)(253, 577)(254, 578)(255, 579)(256, 580)(257, 581)(258, 582)(259, 583)(260, 584)(261, 585)(262, 586)(263, 587)(264, 588)(265, 589)(266, 590)(267, 591)(268, 592)(269, 593)(270, 594)(271, 595)(272, 596)(273, 597)(274, 598)(275, 599)(276, 600)(277, 601)(278, 602)(279, 603)(280, 604)(281, 605)(282, 606)(283, 607)(284, 608)(285, 609)(286, 610)(287, 611)(288, 612)(289, 613)(290, 614)(291, 615)(292, 616)(293, 617)(294, 618)(295, 619)(296, 620)(297, 621)(298, 622)(299, 623)(300, 624)(301, 625)(302, 626)(303, 627)(304, 628)(305, 629)(306, 630)(307, 631)(308, 632)(309, 633)(310, 634)(311, 635)(312, 636)(313, 637)(314, 638)(315, 639)(316, 640)(317, 641)(318, 642)(319, 643)(320, 644)(321, 645)(322, 646)(323, 647)(324, 648)(649, 973, 650, 974)(651, 975, 655, 979)(652, 976, 657, 981)(653, 977, 659, 983)(654, 978, 661, 985)(656, 980, 664, 988)(658, 982, 667, 991)(660, 984, 670, 994)(662, 986, 673, 997)(663, 987, 675, 999)(665, 989, 678, 1002)(666, 990, 680, 1004)(668, 992, 683, 1007)(669, 993, 685, 1009)(671, 995, 688, 1012)(672, 996, 690, 1014)(674, 998, 693, 1017)(676, 1000, 696, 1020)(677, 1001, 698, 1022)(679, 1003, 701, 1025)(681, 1005, 703, 1027)(682, 1006, 705, 1029)(684, 1008, 708, 1032)(686, 1010, 710, 1034)(687, 1011, 712, 1036)(689, 1013, 715, 1039)(691, 1015, 717, 1041)(692, 1016, 719, 1043)(694, 1018, 722, 1046)(695, 1019, 723, 1047)(697, 1021, 726, 1050)(699, 1023, 729, 1053)(700, 1024, 731, 1055)(702, 1026, 734, 1058)(704, 1028, 737, 1061)(706, 1030, 740, 1064)(707, 1031, 742, 1066)(709, 1033, 745, 1069)(711, 1035, 748, 1072)(713, 1037, 750, 1074)(714, 1038, 752, 1076)(716, 1040, 755, 1079)(718, 1042, 758, 1082)(720, 1044, 760, 1084)(721, 1045, 762, 1086)(724, 1048, 766, 1090)(725, 1049, 768, 1092)(727, 1051, 771, 1095)(728, 1052, 772, 1096)(730, 1054, 775, 1099)(732, 1056, 778, 1102)(733, 1057, 744, 1068)(735, 1059, 782, 1106)(736, 1060, 784, 1108)(738, 1062, 787, 1111)(739, 1063, 788, 1112)(741, 1065, 791, 1115)(743, 1067, 794, 1118)(746, 1070, 798, 1122)(747, 1071, 800, 1124)(749, 1073, 803, 1127)(751, 1075, 806, 1130)(753, 1077, 809, 1133)(754, 1078, 764, 1088)(756, 1080, 813, 1137)(757, 1081, 815, 1139)(759, 1083, 818, 1142)(761, 1085, 821, 1145)(763, 1087, 824, 1148)(765, 1089, 827, 1151)(767, 1091, 830, 1154)(769, 1093, 805, 1129)(770, 1094, 832, 1156)(773, 1097, 804, 1128)(774, 1098, 801, 1125)(776, 1100, 839, 1163)(777, 1101, 840, 1164)(779, 1103, 825, 1149)(780, 1104, 843, 1167)(781, 1105, 845, 1169)(783, 1107, 847, 1171)(785, 1109, 820, 1144)(786, 1110, 848, 1172)(789, 1113, 819, 1143)(790, 1114, 816, 1140)(792, 1116, 855, 1179)(793, 1117, 856, 1180)(795, 1119, 810, 1134)(796, 1120, 859, 1183)(797, 1121, 861, 1185)(799, 1123, 864, 1188)(802, 1126, 850, 1174)(807, 1131, 871, 1195)(808, 1132, 872, 1196)(811, 1135, 875, 1199)(812, 1136, 877, 1201)(814, 1138, 879, 1203)(817, 1141, 834, 1158)(822, 1146, 885, 1209)(823, 1147, 886, 1210)(826, 1150, 889, 1213)(828, 1152, 887, 1211)(829, 1153, 883, 1207)(831, 1155, 869, 1193)(833, 1157, 895, 1219)(835, 1159, 868, 1192)(836, 1160, 867, 1191)(837, 1161, 865, 1189)(838, 1162, 899, 1223)(841, 1165, 878, 1202)(842, 1166, 904, 1228)(844, 1168, 896, 1220)(846, 1170, 873, 1197)(849, 1173, 910, 1234)(851, 1175, 882, 1206)(852, 1176, 881, 1205)(853, 1177, 863, 1187)(854, 1178, 914, 1238)(857, 1181, 862, 1186)(858, 1182, 919, 1243)(860, 1184, 911, 1235)(866, 1190, 923, 1247)(870, 1194, 926, 1250)(874, 1198, 930, 1254)(876, 1200, 924, 1248)(880, 1204, 934, 1258)(884, 1208, 937, 1261)(888, 1212, 941, 1265)(890, 1214, 935, 1259)(891, 1215, 940, 1264)(892, 1216, 939, 1263)(893, 1217, 901, 1225)(894, 1218, 944, 1268)(897, 1221, 946, 1270)(898, 1222, 945, 1269)(900, 1224, 917, 1241)(902, 1226, 915, 1239)(903, 1227, 932, 1256)(905, 1229, 931, 1255)(906, 1230, 929, 1253)(907, 1231, 928, 1252)(908, 1232, 916, 1240)(909, 1233, 954, 1278)(912, 1236, 956, 1280)(913, 1237, 955, 1279)(918, 1242, 921, 1245)(920, 1244, 942, 1266)(922, 1246, 927, 1251)(925, 1249, 952, 1276)(933, 1257, 938, 1262)(936, 1260, 947, 1271)(943, 1267, 965, 1289)(948, 1272, 966, 1290)(949, 1273, 959, 1283)(950, 1274, 967, 1291)(951, 1275, 958, 1282)(953, 1277, 969, 1293)(957, 1281, 970, 1294)(960, 1284, 964, 1288)(961, 1285, 972, 1296)(962, 1286, 963, 1287)(968, 1292, 971, 1295)
	L = (1, 651)(2, 653)(3, 656)(4, 649)(5, 660)(6, 650)(7, 661)(8, 665)(9, 666)(10, 652)(11, 657)(12, 671)(13, 672)(14, 654)(15, 655)(16, 675)(17, 679)(18, 681)(19, 682)(20, 658)(21, 659)(22, 685)(23, 689)(24, 691)(25, 692)(26, 662)(27, 695)(28, 663)(29, 664)(30, 698)(31, 684)(32, 667)(33, 704)(34, 706)(35, 707)(36, 668)(37, 709)(38, 669)(39, 670)(40, 712)(41, 694)(42, 673)(43, 718)(44, 720)(45, 721)(46, 674)(47, 724)(48, 725)(49, 676)(50, 728)(51, 677)(52, 678)(53, 731)(54, 680)(55, 734)(56, 738)(57, 683)(58, 741)(59, 743)(60, 744)(61, 746)(62, 747)(63, 686)(64, 749)(65, 687)(66, 688)(67, 752)(68, 690)(69, 755)(70, 727)(71, 693)(72, 761)(73, 763)(74, 764)(75, 696)(76, 767)(77, 769)(78, 770)(79, 697)(80, 773)(81, 774)(82, 699)(83, 777)(84, 700)(85, 701)(86, 781)(87, 702)(88, 703)(89, 784)(90, 711)(91, 705)(92, 788)(93, 792)(94, 708)(95, 795)(96, 796)(97, 710)(98, 799)(99, 801)(100, 802)(101, 804)(102, 805)(103, 713)(104, 808)(105, 714)(106, 715)(107, 812)(108, 716)(109, 717)(110, 815)(111, 719)(112, 818)(113, 822)(114, 722)(115, 825)(116, 826)(117, 723)(118, 827)(119, 776)(120, 726)(121, 806)(122, 833)(123, 834)(124, 729)(125, 836)(126, 837)(127, 838)(128, 730)(129, 841)(130, 824)(131, 732)(132, 733)(133, 846)(134, 831)(135, 735)(136, 829)(137, 736)(138, 737)(139, 848)(140, 851)(141, 739)(142, 740)(143, 816)(144, 783)(145, 742)(146, 856)(147, 858)(148, 860)(149, 745)(150, 861)(151, 807)(152, 748)(153, 775)(154, 866)(155, 750)(156, 868)(157, 869)(158, 870)(159, 751)(160, 873)(161, 794)(162, 753)(163, 754)(164, 878)(165, 865)(166, 756)(167, 863)(168, 757)(169, 758)(170, 881)(171, 759)(172, 760)(173, 785)(174, 814)(175, 762)(176, 886)(177, 888)(178, 890)(179, 891)(180, 765)(181, 766)(182, 883)(183, 768)(184, 771)(185, 896)(186, 897)(187, 772)(188, 842)(189, 879)(190, 900)(191, 901)(192, 778)(193, 903)(194, 779)(195, 895)(196, 780)(197, 782)(198, 907)(199, 908)(200, 909)(201, 786)(202, 787)(203, 913)(204, 789)(205, 790)(206, 791)(207, 914)(208, 917)(209, 793)(210, 852)(211, 843)(212, 920)(213, 921)(214, 797)(215, 798)(216, 853)(217, 800)(218, 924)(219, 803)(220, 874)(221, 847)(222, 892)(223, 927)(224, 809)(225, 929)(226, 810)(227, 923)(228, 811)(229, 813)(230, 915)(231, 933)(232, 817)(233, 936)(234, 819)(235, 820)(236, 821)(237, 937)(238, 939)(239, 823)(240, 882)(241, 875)(242, 942)(243, 911)(244, 828)(245, 830)(246, 832)(247, 944)(248, 906)(249, 947)(250, 835)(251, 839)(252, 862)(253, 950)(254, 840)(255, 905)(256, 952)(257, 844)(258, 845)(259, 884)(260, 953)(261, 955)(262, 859)(263, 849)(264, 850)(265, 957)(266, 958)(267, 854)(268, 855)(269, 959)(270, 857)(271, 930)(272, 918)(273, 935)(274, 864)(275, 956)(276, 932)(277, 867)(278, 871)(279, 961)(280, 872)(281, 931)(282, 945)(283, 876)(284, 877)(285, 948)(286, 889)(287, 880)(288, 943)(289, 963)(290, 885)(291, 964)(292, 887)(293, 904)(294, 940)(295, 893)(296, 966)(297, 894)(298, 934)(299, 919)(300, 898)(301, 899)(302, 916)(303, 902)(304, 912)(305, 925)(306, 910)(307, 941)(308, 969)(309, 922)(310, 949)(311, 971)(312, 926)(313, 938)(314, 928)(315, 960)(316, 968)(317, 946)(318, 972)(319, 965)(320, 951)(321, 967)(322, 954)(323, 962)(324, 970)(325, 973)(326, 974)(327, 975)(328, 976)(329, 977)(330, 978)(331, 979)(332, 980)(333, 981)(334, 982)(335, 983)(336, 984)(337, 985)(338, 986)(339, 987)(340, 988)(341, 989)(342, 990)(343, 991)(344, 992)(345, 993)(346, 994)(347, 995)(348, 996)(349, 997)(350, 998)(351, 999)(352, 1000)(353, 1001)(354, 1002)(355, 1003)(356, 1004)(357, 1005)(358, 1006)(359, 1007)(360, 1008)(361, 1009)(362, 1010)(363, 1011)(364, 1012)(365, 1013)(366, 1014)(367, 1015)(368, 1016)(369, 1017)(370, 1018)(371, 1019)(372, 1020)(373, 1021)(374, 1022)(375, 1023)(376, 1024)(377, 1025)(378, 1026)(379, 1027)(380, 1028)(381, 1029)(382, 1030)(383, 1031)(384, 1032)(385, 1033)(386, 1034)(387, 1035)(388, 1036)(389, 1037)(390, 1038)(391, 1039)(392, 1040)(393, 1041)(394, 1042)(395, 1043)(396, 1044)(397, 1045)(398, 1046)(399, 1047)(400, 1048)(401, 1049)(402, 1050)(403, 1051)(404, 1052)(405, 1053)(406, 1054)(407, 1055)(408, 1056)(409, 1057)(410, 1058)(411, 1059)(412, 1060)(413, 1061)(414, 1062)(415, 1063)(416, 1064)(417, 1065)(418, 1066)(419, 1067)(420, 1068)(421, 1069)(422, 1070)(423, 1071)(424, 1072)(425, 1073)(426, 1074)(427, 1075)(428, 1076)(429, 1077)(430, 1078)(431, 1079)(432, 1080)(433, 1081)(434, 1082)(435, 1083)(436, 1084)(437, 1085)(438, 1086)(439, 1087)(440, 1088)(441, 1089)(442, 1090)(443, 1091)(444, 1092)(445, 1093)(446, 1094)(447, 1095)(448, 1096)(449, 1097)(450, 1098)(451, 1099)(452, 1100)(453, 1101)(454, 1102)(455, 1103)(456, 1104)(457, 1105)(458, 1106)(459, 1107)(460, 1108)(461, 1109)(462, 1110)(463, 1111)(464, 1112)(465, 1113)(466, 1114)(467, 1115)(468, 1116)(469, 1117)(470, 1118)(471, 1119)(472, 1120)(473, 1121)(474, 1122)(475, 1123)(476, 1124)(477, 1125)(478, 1126)(479, 1127)(480, 1128)(481, 1129)(482, 1130)(483, 1131)(484, 1132)(485, 1133)(486, 1134)(487, 1135)(488, 1136)(489, 1137)(490, 1138)(491, 1139)(492, 1140)(493, 1141)(494, 1142)(495, 1143)(496, 1144)(497, 1145)(498, 1146)(499, 1147)(500, 1148)(501, 1149)(502, 1150)(503, 1151)(504, 1152)(505, 1153)(506, 1154)(507, 1155)(508, 1156)(509, 1157)(510, 1158)(511, 1159)(512, 1160)(513, 1161)(514, 1162)(515, 1163)(516, 1164)(517, 1165)(518, 1166)(519, 1167)(520, 1168)(521, 1169)(522, 1170)(523, 1171)(524, 1172)(525, 1173)(526, 1174)(527, 1175)(528, 1176)(529, 1177)(530, 1178)(531, 1179)(532, 1180)(533, 1181)(534, 1182)(535, 1183)(536, 1184)(537, 1185)(538, 1186)(539, 1187)(540, 1188)(541, 1189)(542, 1190)(543, 1191)(544, 1192)(545, 1193)(546, 1194)(547, 1195)(548, 1196)(549, 1197)(550, 1198)(551, 1199)(552, 1200)(553, 1201)(554, 1202)(555, 1203)(556, 1204)(557, 1205)(558, 1206)(559, 1207)(560, 1208)(561, 1209)(562, 1210)(563, 1211)(564, 1212)(565, 1213)(566, 1214)(567, 1215)(568, 1216)(569, 1217)(570, 1218)(571, 1219)(572, 1220)(573, 1221)(574, 1222)(575, 1223)(576, 1224)(577, 1225)(578, 1226)(579, 1227)(580, 1228)(581, 1229)(582, 1230)(583, 1231)(584, 1232)(585, 1233)(586, 1234)(587, 1235)(588, 1236)(589, 1237)(590, 1238)(591, 1239)(592, 1240)(593, 1241)(594, 1242)(595, 1243)(596, 1244)(597, 1245)(598, 1246)(599, 1247)(600, 1248)(601, 1249)(602, 1250)(603, 1251)(604, 1252)(605, 1253)(606, 1254)(607, 1255)(608, 1256)(609, 1257)(610, 1258)(611, 1259)(612, 1260)(613, 1261)(614, 1262)(615, 1263)(616, 1264)(617, 1265)(618, 1266)(619, 1267)(620, 1268)(621, 1269)(622, 1270)(623, 1271)(624, 1272)(625, 1273)(626, 1274)(627, 1275)(628, 1276)(629, 1277)(630, 1278)(631, 1279)(632, 1280)(633, 1281)(634, 1282)(635, 1283)(636, 1284)(637, 1285)(638, 1286)(639, 1287)(640, 1288)(641, 1289)(642, 1290)(643, 1291)(644, 1292)(645, 1293)(646, 1294)(647, 1295)(648, 1296)
	local type(s) :: { ( 6, 18 ), ( 6, 18, 6, 18 ) }
Outer automorphisms :: reflexible
Dual of E10.960
Graph:: simple bipartite
	v = 486 e = 648 f = 144
	degree seq :: [ 2^324, 4^162 ]

E10.962 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 9})
Quotient :: dipole
Aut^+ = ((C3 x ((C3 x C3) : C2)) : C2) : C3 (small group id <324, 160>)
Aut   = $<648, 703>$ (small group id <648, 703>)
|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, Y1^9, Y3 * Y1^-3 * Y3 * Y1^2 * Y3 * Y1^-1 * Y3 * Y1^2 * Y3 * Y1^-3, (Y1^-1 * Y3 * Y1^4 * Y3 * Y1^-3)^2 ]
Map:: polytopal
	R = (1, 325, 2, 326, 5, 329, 11, 335, 21, 345, 36, 360, 20, 344, 10, 334, 4, 328)(3, 327, 7, 331, 15, 339, 27, 351, 46, 370, 53, 377, 31, 355, 17, 341, 8, 332)(6, 330, 13, 337, 25, 349, 42, 366, 69, 393, 74, 398, 45, 369, 26, 350, 14, 338)(9, 333, 18, 342, 32, 356, 54, 378, 86, 410, 81, 405, 50, 374, 29, 353, 16, 340)(12, 336, 23, 347, 40, 364, 65, 389, 103, 427, 108, 432, 68, 392, 41, 365, 24, 348)(19, 343, 34, 358, 57, 381, 91, 415, 140, 464, 139, 463, 90, 414, 56, 380, 33, 357)(22, 346, 38, 362, 63, 387, 99, 423, 153, 477, 158, 482, 102, 426, 64, 388, 39, 363)(28, 352, 48, 372, 78, 402, 121, 445, 184, 508, 187, 511, 124, 448, 79, 403, 49, 373)(30, 354, 51, 375, 82, 406, 127, 451, 190, 514, 172, 496, 112, 436, 71, 395, 43, 367)(35, 359, 59, 383, 94, 418, 145, 469, 208, 532, 207, 531, 144, 468, 93, 417, 58, 382)(37, 361, 61, 385, 97, 421, 149, 473, 213, 537, 218, 542, 152, 476, 98, 422, 62, 386)(44, 368, 72, 396, 113, 437, 173, 497, 238, 562, 229, 553, 162, 486, 105, 429, 66, 390)(47, 371, 76, 400, 119, 443, 154, 478, 220, 544, 246, 570, 183, 507, 120, 444, 77, 401)(52, 376, 84, 408, 130, 454, 157, 481, 223, 547, 255, 579, 194, 518, 129, 453, 83, 407)(55, 379, 88, 412, 136, 460, 200, 524, 262, 586, 253, 577, 191, 515, 137, 461, 89, 413)(60, 384, 96, 420, 148, 472, 211, 535, 272, 596, 271, 595, 210, 534, 147, 471, 95, 419)(67, 391, 106, 430, 163, 487, 230, 554, 285, 609, 279, 603, 221, 545, 155, 479, 100, 424)(70, 394, 110, 434, 169, 493, 214, 538, 267, 591, 204, 528, 141, 465, 170, 494, 111, 435)(73, 397, 115, 439, 176, 500, 217, 541, 263, 587, 201, 525, 138, 462, 175, 499, 114, 438)(75, 399, 117, 441, 179, 503, 242, 566, 293, 617, 276, 600, 245, 569, 180, 504, 118, 442)(80, 404, 125, 449, 164, 488, 107, 431, 165, 489, 232, 556, 249, 573, 186, 510, 122, 446)(85, 409, 132, 456, 196, 520, 256, 580, 304, 628, 284, 608, 228, 552, 195, 519, 131, 455)(87, 411, 134, 458, 161, 485, 104, 428, 160, 484, 227, 551, 261, 585, 199, 523, 135, 459)(92, 416, 142, 466, 205, 529, 268, 592, 310, 634, 298, 622, 247, 571, 206, 530, 143, 467)(101, 425, 156, 480, 222, 546, 280, 604, 314, 638, 312, 636, 274, 598, 215, 539, 150, 474)(109, 433, 167, 491, 235, 559, 185, 509, 248, 572, 299, 623, 289, 613, 236, 560, 168, 492)(116, 440, 178, 502, 241, 565, 291, 615, 269, 593, 297, 621, 278, 602, 240, 564, 177, 501)(123, 447, 174, 498, 239, 563, 202, 526, 264, 588, 308, 632, 277, 601, 219, 543, 181, 505)(126, 450, 189, 513, 251, 575, 296, 620, 273, 597, 237, 561, 171, 495, 231, 555, 188, 512)(128, 452, 192, 516, 254, 578, 303, 627, 283, 607, 226, 550, 159, 483, 225, 549, 193, 517)(133, 457, 197, 521, 258, 582, 305, 629, 281, 605, 224, 548, 282, 606, 259, 583, 198, 522)(146, 470, 209, 533, 270, 594, 311, 635, 323, 647, 318, 642, 294, 618, 243, 567, 182, 506)(151, 475, 216, 540, 275, 599, 313, 637, 324, 648, 321, 645, 306, 630, 260, 584, 212, 536)(166, 490, 234, 558, 287, 611, 266, 590, 203, 527, 265, 589, 309, 633, 286, 610, 233, 557)(244, 568, 295, 619, 307, 631, 322, 646, 316, 640, 315, 639, 292, 616, 288, 612, 257, 581)(250, 574, 300, 624, 319, 643, 302, 626, 252, 576, 301, 625, 320, 644, 317, 641, 290, 614)(649, 973)(650, 974)(651, 975)(652, 976)(653, 977)(654, 978)(655, 979)(656, 980)(657, 981)(658, 982)(659, 983)(660, 984)(661, 985)(662, 986)(663, 987)(664, 988)(665, 989)(666, 990)(667, 991)(668, 992)(669, 993)(670, 994)(671, 995)(672, 996)(673, 997)(674, 998)(675, 999)(676, 1000)(677, 1001)(678, 1002)(679, 1003)(680, 1004)(681, 1005)(682, 1006)(683, 1007)(684, 1008)(685, 1009)(686, 1010)(687, 1011)(688, 1012)(689, 1013)(690, 1014)(691, 1015)(692, 1016)(693, 1017)(694, 1018)(695, 1019)(696, 1020)(697, 1021)(698, 1022)(699, 1023)(700, 1024)(701, 1025)(702, 1026)(703, 1027)(704, 1028)(705, 1029)(706, 1030)(707, 1031)(708, 1032)(709, 1033)(710, 1034)(711, 1035)(712, 1036)(713, 1037)(714, 1038)(715, 1039)(716, 1040)(717, 1041)(718, 1042)(719, 1043)(720, 1044)(721, 1045)(722, 1046)(723, 1047)(724, 1048)(725, 1049)(726, 1050)(727, 1051)(728, 1052)(729, 1053)(730, 1054)(731, 1055)(732, 1056)(733, 1057)(734, 1058)(735, 1059)(736, 1060)(737, 1061)(738, 1062)(739, 1063)(740, 1064)(741, 1065)(742, 1066)(743, 1067)(744, 1068)(745, 1069)(746, 1070)(747, 1071)(748, 1072)(749, 1073)(750, 1074)(751, 1075)(752, 1076)(753, 1077)(754, 1078)(755, 1079)(756, 1080)(757, 1081)(758, 1082)(759, 1083)(760, 1084)(761, 1085)(762, 1086)(763, 1087)(764, 1088)(765, 1089)(766, 1090)(767, 1091)(768, 1092)(769, 1093)(770, 1094)(771, 1095)(772, 1096)(773, 1097)(774, 1098)(775, 1099)(776, 1100)(777, 1101)(778, 1102)(779, 1103)(780, 1104)(781, 1105)(782, 1106)(783, 1107)(784, 1108)(785, 1109)(786, 1110)(787, 1111)(788, 1112)(789, 1113)(790, 1114)(791, 1115)(792, 1116)(793, 1117)(794, 1118)(795, 1119)(796, 1120)(797, 1121)(798, 1122)(799, 1123)(800, 1124)(801, 1125)(802, 1126)(803, 1127)(804, 1128)(805, 1129)(806, 1130)(807, 1131)(808, 1132)(809, 1133)(810, 1134)(811, 1135)(812, 1136)(813, 1137)(814, 1138)(815, 1139)(816, 1140)(817, 1141)(818, 1142)(819, 1143)(820, 1144)(821, 1145)(822, 1146)(823, 1147)(824, 1148)(825, 1149)(826, 1150)(827, 1151)(828, 1152)(829, 1153)(830, 1154)(831, 1155)(832, 1156)(833, 1157)(834, 1158)(835, 1159)(836, 1160)(837, 1161)(838, 1162)(839, 1163)(840, 1164)(841, 1165)(842, 1166)(843, 1167)(844, 1168)(845, 1169)(846, 1170)(847, 1171)(848, 1172)(849, 1173)(850, 1174)(851, 1175)(852, 1176)(853, 1177)(854, 1178)(855, 1179)(856, 1180)(857, 1181)(858, 1182)(859, 1183)(860, 1184)(861, 1185)(862, 1186)(863, 1187)(864, 1188)(865, 1189)(866, 1190)(867, 1191)(868, 1192)(869, 1193)(870, 1194)(871, 1195)(872, 1196)(873, 1197)(874, 1198)(875, 1199)(876, 1200)(877, 1201)(878, 1202)(879, 1203)(880, 1204)(881, 1205)(882, 1206)(883, 1207)(884, 1208)(885, 1209)(886, 1210)(887, 1211)(888, 1212)(889, 1213)(890, 1214)(891, 1215)(892, 1216)(893, 1217)(894, 1218)(895, 1219)(896, 1220)(897, 1221)(898, 1222)(899, 1223)(900, 1224)(901, 1225)(902, 1226)(903, 1227)(904, 1228)(905, 1229)(906, 1230)(907, 1231)(908, 1232)(909, 1233)(910, 1234)(911, 1235)(912, 1236)(913, 1237)(914, 1238)(915, 1239)(916, 1240)(917, 1241)(918, 1242)(919, 1243)(920, 1244)(921, 1245)(922, 1246)(923, 1247)(924, 1248)(925, 1249)(926, 1250)(927, 1251)(928, 1252)(929, 1253)(930, 1254)(931, 1255)(932, 1256)(933, 1257)(934, 1258)(935, 1259)(936, 1260)(937, 1261)(938, 1262)(939, 1263)(940, 1264)(941, 1265)(942, 1266)(943, 1267)(944, 1268)(945, 1269)(946, 1270)(947, 1271)(948, 1272)(949, 1273)(950, 1274)(951, 1275)(952, 1276)(953, 1277)(954, 1278)(955, 1279)(956, 1280)(957, 1281)(958, 1282)(959, 1283)(960, 1284)(961, 1285)(962, 1286)(963, 1287)(964, 1288)(965, 1289)(966, 1290)(967, 1291)(968, 1292)(969, 1293)(970, 1294)(971, 1295)(972, 1296)
	L = (1, 651)(2, 654)(3, 649)(4, 657)(5, 660)(6, 650)(7, 664)(8, 661)(9, 652)(10, 667)(11, 670)(12, 653)(13, 656)(14, 671)(15, 676)(16, 655)(17, 678)(18, 681)(19, 658)(20, 683)(21, 685)(22, 659)(23, 662)(24, 686)(25, 691)(26, 692)(27, 695)(28, 663)(29, 696)(30, 665)(31, 700)(32, 703)(33, 666)(34, 706)(35, 668)(36, 708)(37, 669)(38, 672)(39, 709)(40, 714)(41, 715)(42, 718)(43, 673)(44, 674)(45, 721)(46, 723)(47, 675)(48, 677)(49, 724)(50, 728)(51, 731)(52, 679)(53, 733)(54, 735)(55, 680)(56, 736)(57, 740)(58, 682)(59, 743)(60, 684)(61, 687)(62, 744)(63, 748)(64, 749)(65, 752)(66, 688)(67, 689)(68, 755)(69, 757)(70, 690)(71, 758)(72, 762)(73, 693)(74, 764)(75, 694)(76, 697)(77, 765)(78, 770)(79, 771)(80, 698)(81, 774)(82, 776)(83, 699)(84, 779)(85, 701)(86, 781)(87, 702)(88, 704)(89, 782)(90, 786)(91, 789)(92, 705)(93, 790)(94, 794)(95, 707)(96, 710)(97, 798)(98, 799)(99, 802)(100, 711)(101, 712)(102, 805)(103, 807)(104, 713)(105, 808)(106, 812)(107, 716)(108, 814)(109, 717)(110, 719)(111, 815)(112, 819)(113, 822)(114, 720)(115, 825)(116, 722)(117, 725)(118, 780)(119, 829)(120, 830)(121, 833)(122, 726)(123, 727)(124, 821)(125, 836)(126, 729)(127, 839)(128, 730)(129, 840)(130, 804)(131, 732)(132, 766)(133, 734)(134, 737)(135, 845)(136, 849)(137, 841)(138, 738)(139, 850)(140, 851)(141, 739)(142, 741)(143, 818)(144, 842)(145, 831)(146, 742)(147, 857)(148, 860)(149, 862)(150, 745)(151, 746)(152, 865)(153, 867)(154, 747)(155, 868)(156, 778)(157, 750)(158, 872)(159, 751)(160, 753)(161, 873)(162, 876)(163, 879)(164, 754)(165, 881)(166, 756)(167, 759)(168, 826)(169, 885)(170, 791)(171, 760)(172, 878)(173, 772)(174, 761)(175, 887)(176, 864)(177, 763)(178, 816)(179, 891)(180, 892)(181, 767)(182, 768)(183, 793)(184, 895)(185, 769)(186, 896)(187, 898)(188, 773)(189, 846)(190, 900)(191, 775)(192, 777)(193, 785)(194, 792)(195, 870)(196, 905)(197, 783)(198, 837)(199, 908)(200, 890)(201, 784)(202, 787)(203, 788)(204, 913)(205, 903)(206, 883)(207, 902)(208, 917)(209, 795)(210, 897)(211, 909)(212, 796)(213, 921)(214, 797)(215, 915)(216, 824)(217, 800)(218, 924)(219, 801)(220, 803)(221, 926)(222, 843)(223, 929)(224, 806)(225, 809)(226, 882)(227, 932)(228, 810)(229, 928)(230, 820)(231, 811)(232, 918)(233, 813)(234, 874)(235, 854)(236, 936)(237, 817)(238, 938)(239, 823)(240, 923)(241, 940)(242, 848)(243, 827)(244, 828)(245, 944)(246, 945)(247, 832)(248, 834)(249, 858)(250, 835)(251, 943)(252, 838)(253, 949)(254, 855)(255, 853)(256, 937)(257, 844)(258, 954)(259, 955)(260, 847)(261, 859)(262, 942)(263, 941)(264, 914)(265, 852)(266, 912)(267, 863)(268, 953)(269, 856)(270, 880)(271, 947)(272, 952)(273, 861)(274, 957)(275, 888)(276, 866)(277, 930)(278, 869)(279, 961)(280, 877)(281, 871)(282, 925)(283, 963)(284, 875)(285, 950)(286, 959)(287, 964)(288, 884)(289, 904)(290, 886)(291, 951)(292, 889)(293, 911)(294, 910)(295, 899)(296, 893)(297, 894)(298, 948)(299, 919)(300, 946)(301, 901)(302, 933)(303, 939)(304, 920)(305, 916)(306, 906)(307, 907)(308, 970)(309, 922)(310, 969)(311, 934)(312, 971)(313, 927)(314, 965)(315, 931)(316, 935)(317, 962)(318, 968)(319, 972)(320, 966)(321, 958)(322, 956)(323, 960)(324, 967)(325, 973)(326, 974)(327, 975)(328, 976)(329, 977)(330, 978)(331, 979)(332, 980)(333, 981)(334, 982)(335, 983)(336, 984)(337, 985)(338, 986)(339, 987)(340, 988)(341, 989)(342, 990)(343, 991)(344, 992)(345, 993)(346, 994)(347, 995)(348, 996)(349, 997)(350, 998)(351, 999)(352, 1000)(353, 1001)(354, 1002)(355, 1003)(356, 1004)(357, 1005)(358, 1006)(359, 1007)(360, 1008)(361, 1009)(362, 1010)(363, 1011)(364, 1012)(365, 1013)(366, 1014)(367, 1015)(368, 1016)(369, 1017)(370, 1018)(371, 1019)(372, 1020)(373, 1021)(374, 1022)(375, 1023)(376, 1024)(377, 1025)(378, 1026)(379, 1027)(380, 1028)(381, 1029)(382, 1030)(383, 1031)(384, 1032)(385, 1033)(386, 1034)(387, 1035)(388, 1036)(389, 1037)(390, 1038)(391, 1039)(392, 1040)(393, 1041)(394, 1042)(395, 1043)(396, 1044)(397, 1045)(398, 1046)(399, 1047)(400, 1048)(401, 1049)(402, 1050)(403, 1051)(404, 1052)(405, 1053)(406, 1054)(407, 1055)(408, 1056)(409, 1057)(410, 1058)(411, 1059)(412, 1060)(413, 1061)(414, 1062)(415, 1063)(416, 1064)(417, 1065)(418, 1066)(419, 1067)(420, 1068)(421, 1069)(422, 1070)(423, 1071)(424, 1072)(425, 1073)(426, 1074)(427, 1075)(428, 1076)(429, 1077)(430, 1078)(431, 1079)(432, 1080)(433, 1081)(434, 1082)(435, 1083)(436, 1084)(437, 1085)(438, 1086)(439, 1087)(440, 1088)(441, 1089)(442, 1090)(443, 1091)(444, 1092)(445, 1093)(446, 1094)(447, 1095)(448, 1096)(449, 1097)(450, 1098)(451, 1099)(452, 1100)(453, 1101)(454, 1102)(455, 1103)(456, 1104)(457, 1105)(458, 1106)(459, 1107)(460, 1108)(461, 1109)(462, 1110)(463, 1111)(464, 1112)(465, 1113)(466, 1114)(467, 1115)(468, 1116)(469, 1117)(470, 1118)(471, 1119)(472, 1120)(473, 1121)(474, 1122)(475, 1123)(476, 1124)(477, 1125)(478, 1126)(479, 1127)(480, 1128)(481, 1129)(482, 1130)(483, 1131)(484, 1132)(485, 1133)(486, 1134)(487, 1135)(488, 1136)(489, 1137)(490, 1138)(491, 1139)(492, 1140)(493, 1141)(494, 1142)(495, 1143)(496, 1144)(497, 1145)(498, 1146)(499, 1147)(500, 1148)(501, 1149)(502, 1150)(503, 1151)(504, 1152)(505, 1153)(506, 1154)(507, 1155)(508, 1156)(509, 1157)(510, 1158)(511, 1159)(512, 1160)(513, 1161)(514, 1162)(515, 1163)(516, 1164)(517, 1165)(518, 1166)(519, 1167)(520, 1168)(521, 1169)(522, 1170)(523, 1171)(524, 1172)(525, 1173)(526, 1174)(527, 1175)(528, 1176)(529, 1177)(530, 1178)(531, 1179)(532, 1180)(533, 1181)(534, 1182)(535, 1183)(536, 1184)(537, 1185)(538, 1186)(539, 1187)(540, 1188)(541, 1189)(542, 1190)(543, 1191)(544, 1192)(545, 1193)(546, 1194)(547, 1195)(548, 1196)(549, 1197)(550, 1198)(551, 1199)(552, 1200)(553, 1201)(554, 1202)(555, 1203)(556, 1204)(557, 1205)(558, 1206)(559, 1207)(560, 1208)(561, 1209)(562, 1210)(563, 1211)(564, 1212)(565, 1213)(566, 1214)(567, 1215)(568, 1216)(569, 1217)(570, 1218)(571, 1219)(572, 1220)(573, 1221)(574, 1222)(575, 1223)(576, 1224)(577, 1225)(578, 1226)(579, 1227)(580, 1228)(581, 1229)(582, 1230)(583, 1231)(584, 1232)(585, 1233)(586, 1234)(587, 1235)(588, 1236)(589, 1237)(590, 1238)(591, 1239)(592, 1240)(593, 1241)(594, 1242)(595, 1243)(596, 1244)(597, 1245)(598, 1246)(599, 1247)(600, 1248)(601, 1249)(602, 1250)(603, 1251)(604, 1252)(605, 1253)(606, 1254)(607, 1255)(608, 1256)(609, 1257)(610, 1258)(611, 1259)(612, 1260)(613, 1261)(614, 1262)(615, 1263)(616, 1264)(617, 1265)(618, 1266)(619, 1267)(620, 1268)(621, 1269)(622, 1270)(623, 1271)(624, 1272)(625, 1273)(626, 1274)(627, 1275)(628, 1276)(629, 1277)(630, 1278)(631, 1279)(632, 1280)(633, 1281)(634, 1282)(635, 1283)(636, 1284)(637, 1285)(638, 1286)(639, 1287)(640, 1288)(641, 1289)(642, 1290)(643, 1291)(644, 1292)(645, 1293)(646, 1294)(647, 1295)(648, 1296)
	local type(s) :: { ( 4, 6 ), ( 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible
Dual of E10.959
Graph:: simple bipartite
	v = 360 e = 648 f = 270
	degree seq :: [ 2^324, 18^36 ]

E10.963 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 9})
Quotient :: dipole
Aut^+ = ((C3 x ((C3 x C3) : C2)) : C2) : C3 (small group id <324, 160>)
Aut   = $<648, 703>$ (small group id <648, 703>)
|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, (R * Y2^-2 * Y1)^2, Y2^9, Y2^-1 * Y1 * Y2^3 * Y1 * Y2^3 * Y1 * Y2^-2 * Y1 * Y2 * Y1 * Y2^-1, (Y2^-1 * Y1 * Y2^4 * Y1 * Y2^-3)^2 ]
Map::
	R = (1, 325, 2, 326)(3, 327, 7, 331)(4, 328, 9, 333)(5, 329, 11, 335)(6, 330, 13, 337)(8, 332, 16, 340)(10, 334, 19, 343)(12, 336, 22, 346)(14, 338, 25, 349)(15, 339, 27, 351)(17, 341, 30, 354)(18, 342, 32, 356)(20, 344, 35, 359)(21, 345, 37, 361)(23, 347, 40, 364)(24, 348, 42, 366)(26, 350, 45, 369)(28, 352, 48, 372)(29, 353, 50, 374)(31, 355, 53, 377)(33, 357, 55, 379)(34, 358, 57, 381)(36, 360, 60, 384)(38, 362, 62, 386)(39, 363, 64, 388)(41, 365, 67, 391)(43, 367, 69, 393)(44, 368, 71, 395)(46, 370, 74, 398)(47, 371, 75, 399)(49, 373, 78, 402)(51, 375, 81, 405)(52, 376, 83, 407)(54, 378, 86, 410)(56, 380, 89, 413)(58, 382, 92, 416)(59, 383, 94, 418)(61, 385, 97, 421)(63, 387, 100, 424)(65, 389, 102, 426)(66, 390, 104, 428)(68, 392, 107, 431)(70, 394, 110, 434)(72, 396, 112, 436)(73, 397, 114, 438)(76, 400, 118, 442)(77, 401, 120, 444)(79, 403, 123, 447)(80, 404, 124, 448)(82, 406, 127, 451)(84, 408, 130, 454)(85, 409, 96, 420)(87, 411, 134, 458)(88, 412, 136, 460)(90, 414, 139, 463)(91, 415, 140, 464)(93, 417, 143, 467)(95, 419, 146, 470)(98, 422, 150, 474)(99, 423, 152, 476)(101, 425, 155, 479)(103, 427, 158, 482)(105, 429, 161, 485)(106, 430, 116, 440)(108, 432, 165, 489)(109, 433, 167, 491)(111, 435, 170, 494)(113, 437, 173, 497)(115, 439, 176, 500)(117, 441, 179, 503)(119, 443, 182, 506)(121, 445, 157, 481)(122, 446, 184, 508)(125, 449, 156, 480)(126, 450, 153, 477)(128, 452, 191, 515)(129, 453, 192, 516)(131, 455, 177, 501)(132, 456, 195, 519)(133, 457, 197, 521)(135, 459, 199, 523)(137, 461, 172, 496)(138, 462, 200, 524)(141, 465, 171, 495)(142, 466, 168, 492)(144, 468, 207, 531)(145, 469, 208, 532)(147, 471, 162, 486)(148, 472, 211, 535)(149, 473, 213, 537)(151, 475, 216, 540)(154, 478, 202, 526)(159, 483, 223, 547)(160, 484, 224, 548)(163, 487, 227, 551)(164, 488, 229, 553)(166, 490, 231, 555)(169, 493, 186, 510)(174, 498, 237, 561)(175, 499, 238, 562)(178, 502, 241, 565)(180, 504, 239, 563)(181, 505, 235, 559)(183, 507, 221, 545)(185, 509, 247, 571)(187, 511, 220, 544)(188, 512, 219, 543)(189, 513, 217, 541)(190, 514, 251, 575)(193, 517, 230, 554)(194, 518, 256, 580)(196, 520, 248, 572)(198, 522, 225, 549)(201, 525, 262, 586)(203, 527, 234, 558)(204, 528, 233, 557)(205, 529, 215, 539)(206, 530, 266, 590)(209, 533, 214, 538)(210, 534, 271, 595)(212, 536, 263, 587)(218, 542, 275, 599)(222, 546, 278, 602)(226, 550, 282, 606)(228, 552, 276, 600)(232, 556, 286, 610)(236, 560, 289, 613)(240, 564, 293, 617)(242, 566, 287, 611)(243, 567, 292, 616)(244, 568, 291, 615)(245, 569, 253, 577)(246, 570, 296, 620)(249, 573, 298, 622)(250, 574, 297, 621)(252, 576, 269, 593)(254, 578, 267, 591)(255, 579, 284, 608)(257, 581, 283, 607)(258, 582, 281, 605)(259, 583, 280, 604)(260, 584, 268, 592)(261, 585, 306, 630)(264, 588, 308, 632)(265, 589, 307, 631)(270, 594, 273, 597)(272, 596, 294, 618)(274, 598, 279, 603)(277, 601, 304, 628)(285, 609, 290, 614)(288, 612, 299, 623)(295, 619, 317, 641)(300, 624, 318, 642)(301, 625, 311, 635)(302, 626, 319, 643)(303, 627, 310, 634)(305, 629, 321, 645)(309, 633, 322, 646)(312, 636, 316, 640)(313, 637, 324, 648)(314, 638, 315, 639)(320, 644, 323, 647)(649, 973, 651, 975, 656, 980, 665, 989, 679, 1003, 684, 1008, 668, 992, 658, 982, 652, 976)(650, 974, 653, 977, 660, 984, 671, 995, 689, 1013, 694, 1018, 674, 998, 662, 986, 654, 978)(655, 979, 661, 985, 672, 996, 691, 1015, 718, 1042, 727, 1051, 697, 1021, 676, 1000, 663, 987)(657, 981, 666, 990, 681, 1005, 704, 1028, 738, 1062, 711, 1035, 686, 1010, 669, 993, 659, 983)(664, 988, 675, 999, 695, 1019, 724, 1048, 767, 1091, 776, 1100, 730, 1054, 699, 1023, 677, 1001)(667, 991, 682, 1006, 706, 1030, 741, 1065, 792, 1116, 783, 1107, 735, 1059, 702, 1026, 680, 1004)(670, 994, 685, 1009, 709, 1033, 746, 1070, 799, 1123, 807, 1131, 751, 1075, 713, 1037, 687, 1011)(673, 997, 692, 1016, 720, 1044, 761, 1085, 822, 1146, 814, 1138, 756, 1080, 716, 1040, 690, 1014)(678, 1002, 698, 1022, 728, 1052, 773, 1097, 836, 1160, 842, 1166, 779, 1103, 732, 1056, 700, 1024)(683, 1007, 707, 1031, 743, 1067, 795, 1119, 858, 1182, 852, 1176, 789, 1113, 739, 1063, 705, 1029)(688, 1012, 712, 1036, 749, 1073, 804, 1128, 868, 1192, 874, 1198, 810, 1134, 753, 1077, 714, 1038)(693, 1017, 721, 1045, 763, 1087, 825, 1149, 888, 1212, 882, 1206, 819, 1143, 759, 1083, 719, 1043)(696, 1020, 725, 1049, 769, 1093, 806, 1130, 870, 1194, 892, 1216, 828, 1152, 765, 1089, 723, 1047)(701, 1025, 731, 1055, 777, 1101, 841, 1165, 903, 1227, 905, 1229, 844, 1168, 780, 1104, 733, 1057)(703, 1027, 734, 1058, 781, 1105, 846, 1170, 907, 1231, 884, 1208, 821, 1145, 785, 1109, 736, 1060)(708, 1032, 744, 1068, 796, 1120, 860, 1184, 920, 1244, 918, 1242, 857, 1181, 793, 1117, 742, 1066)(710, 1034, 747, 1071, 801, 1125, 775, 1099, 838, 1162, 900, 1224, 862, 1186, 797, 1121, 745, 1069)(715, 1039, 752, 1076, 808, 1132, 873, 1197, 929, 1253, 931, 1255, 876, 1200, 811, 1135, 754, 1078)(717, 1041, 755, 1079, 812, 1136, 878, 1202, 915, 1239, 854, 1178, 791, 1115, 816, 1140, 757, 1081)(722, 1046, 764, 1088, 826, 1150, 890, 1214, 942, 1266, 940, 1264, 887, 1211, 823, 1147, 762, 1086)(726, 1050, 770, 1094, 833, 1157, 896, 1220, 906, 1230, 845, 1169, 782, 1106, 831, 1155, 768, 1092)(729, 1053, 774, 1098, 837, 1161, 879, 1203, 933, 1257, 948, 1272, 898, 1222, 835, 1159, 772, 1096)(737, 1061, 784, 1108, 829, 1153, 766, 1090, 827, 1151, 891, 1215, 911, 1235, 849, 1173, 786, 1110)(740, 1064, 788, 1112, 851, 1175, 913, 1237, 957, 1281, 922, 1246, 864, 1188, 853, 1177, 790, 1114)(748, 1072, 802, 1126, 866, 1190, 924, 1248, 932, 1256, 877, 1201, 813, 1137, 865, 1189, 800, 1124)(750, 1074, 805, 1129, 869, 1193, 847, 1171, 908, 1232, 953, 1277, 925, 1249, 867, 1191, 803, 1127)(758, 1082, 815, 1139, 863, 1187, 798, 1122, 861, 1185, 921, 1245, 935, 1259, 880, 1204, 817, 1141)(760, 1084, 818, 1142, 881, 1205, 936, 1260, 943, 1267, 893, 1217, 830, 1154, 883, 1207, 820, 1144)(771, 1095, 834, 1158, 897, 1221, 947, 1271, 919, 1243, 930, 1254, 945, 1269, 894, 1218, 832, 1156)(778, 1102, 824, 1148, 886, 1210, 939, 1263, 964, 1288, 968, 1292, 951, 1275, 902, 1226, 840, 1164)(787, 1111, 848, 1172, 909, 1233, 955, 1279, 941, 1265, 904, 1228, 952, 1276, 912, 1236, 850, 1174)(794, 1118, 856, 1180, 917, 1241, 959, 1283, 971, 1295, 962, 1286, 928, 1252, 872, 1196, 809, 1133)(839, 1163, 901, 1225, 950, 1274, 916, 1240, 855, 1179, 914, 1238, 958, 1282, 949, 1273, 899, 1223)(843, 1167, 895, 1219, 944, 1268, 966, 1290, 972, 1296, 970, 1294, 954, 1278, 910, 1234, 859, 1183)(871, 1195, 927, 1251, 961, 1285, 938, 1262, 885, 1209, 937, 1261, 963, 1287, 960, 1284, 926, 1250)(875, 1199, 923, 1247, 956, 1280, 969, 1293, 967, 1291, 965, 1289, 946, 1270, 934, 1258, 889, 1213)
	L = (1, 650)(2, 649)(3, 655)(4, 657)(5, 659)(6, 661)(7, 651)(8, 664)(9, 652)(10, 667)(11, 653)(12, 670)(13, 654)(14, 673)(15, 675)(16, 656)(17, 678)(18, 680)(19, 658)(20, 683)(21, 685)(22, 660)(23, 688)(24, 690)(25, 662)(26, 693)(27, 663)(28, 696)(29, 698)(30, 665)(31, 701)(32, 666)(33, 703)(34, 705)(35, 668)(36, 708)(37, 669)(38, 710)(39, 712)(40, 671)(41, 715)(42, 672)(43, 717)(44, 719)(45, 674)(46, 722)(47, 723)(48, 676)(49, 726)(50, 677)(51, 729)(52, 731)(53, 679)(54, 734)(55, 681)(56, 737)(57, 682)(58, 740)(59, 742)(60, 684)(61, 745)(62, 686)(63, 748)(64, 687)(65, 750)(66, 752)(67, 689)(68, 755)(69, 691)(70, 758)(71, 692)(72, 760)(73, 762)(74, 694)(75, 695)(76, 766)(77, 768)(78, 697)(79, 771)(80, 772)(81, 699)(82, 775)(83, 700)(84, 778)(85, 744)(86, 702)(87, 782)(88, 784)(89, 704)(90, 787)(91, 788)(92, 706)(93, 791)(94, 707)(95, 794)(96, 733)(97, 709)(98, 798)(99, 800)(100, 711)(101, 803)(102, 713)(103, 806)(104, 714)(105, 809)(106, 764)(107, 716)(108, 813)(109, 815)(110, 718)(111, 818)(112, 720)(113, 821)(114, 721)(115, 824)(116, 754)(117, 827)(118, 724)(119, 830)(120, 725)(121, 805)(122, 832)(123, 727)(124, 728)(125, 804)(126, 801)(127, 730)(128, 839)(129, 840)(130, 732)(131, 825)(132, 843)(133, 845)(134, 735)(135, 847)(136, 736)(137, 820)(138, 848)(139, 738)(140, 739)(141, 819)(142, 816)(143, 741)(144, 855)(145, 856)(146, 743)(147, 810)(148, 859)(149, 861)(150, 746)(151, 864)(152, 747)(153, 774)(154, 850)(155, 749)(156, 773)(157, 769)(158, 751)(159, 871)(160, 872)(161, 753)(162, 795)(163, 875)(164, 877)(165, 756)(166, 879)(167, 757)(168, 790)(169, 834)(170, 759)(171, 789)(172, 785)(173, 761)(174, 885)(175, 886)(176, 763)(177, 779)(178, 889)(179, 765)(180, 887)(181, 883)(182, 767)(183, 869)(184, 770)(185, 895)(186, 817)(187, 868)(188, 867)(189, 865)(190, 899)(191, 776)(192, 777)(193, 878)(194, 904)(195, 780)(196, 896)(197, 781)(198, 873)(199, 783)(200, 786)(201, 910)(202, 802)(203, 882)(204, 881)(205, 863)(206, 914)(207, 792)(208, 793)(209, 862)(210, 919)(211, 796)(212, 911)(213, 797)(214, 857)(215, 853)(216, 799)(217, 837)(218, 923)(219, 836)(220, 835)(221, 831)(222, 926)(223, 807)(224, 808)(225, 846)(226, 930)(227, 811)(228, 924)(229, 812)(230, 841)(231, 814)(232, 934)(233, 852)(234, 851)(235, 829)(236, 937)(237, 822)(238, 823)(239, 828)(240, 941)(241, 826)(242, 935)(243, 940)(244, 939)(245, 901)(246, 944)(247, 833)(248, 844)(249, 946)(250, 945)(251, 838)(252, 917)(253, 893)(254, 915)(255, 932)(256, 842)(257, 931)(258, 929)(259, 928)(260, 916)(261, 954)(262, 849)(263, 860)(264, 956)(265, 955)(266, 854)(267, 902)(268, 908)(269, 900)(270, 921)(271, 858)(272, 942)(273, 918)(274, 927)(275, 866)(276, 876)(277, 952)(278, 870)(279, 922)(280, 907)(281, 906)(282, 874)(283, 905)(284, 903)(285, 938)(286, 880)(287, 890)(288, 947)(289, 884)(290, 933)(291, 892)(292, 891)(293, 888)(294, 920)(295, 965)(296, 894)(297, 898)(298, 897)(299, 936)(300, 966)(301, 959)(302, 967)(303, 958)(304, 925)(305, 969)(306, 909)(307, 913)(308, 912)(309, 970)(310, 951)(311, 949)(312, 964)(313, 972)(314, 963)(315, 962)(316, 960)(317, 943)(318, 948)(319, 950)(320, 971)(321, 953)(322, 957)(323, 968)(324, 961)(325, 973)(326, 974)(327, 975)(328, 976)(329, 977)(330, 978)(331, 979)(332, 980)(333, 981)(334, 982)(335, 983)(336, 984)(337, 985)(338, 986)(339, 987)(340, 988)(341, 989)(342, 990)(343, 991)(344, 992)(345, 993)(346, 994)(347, 995)(348, 996)(349, 997)(350, 998)(351, 999)(352, 1000)(353, 1001)(354, 1002)(355, 1003)(356, 1004)(357, 1005)(358, 1006)(359, 1007)(360, 1008)(361, 1009)(362, 1010)(363, 1011)(364, 1012)(365, 1013)(366, 1014)(367, 1015)(368, 1016)(369, 1017)(370, 1018)(371, 1019)(372, 1020)(373, 1021)(374, 1022)(375, 1023)(376, 1024)(377, 1025)(378, 1026)(379, 1027)(380, 1028)(381, 1029)(382, 1030)(383, 1031)(384, 1032)(385, 1033)(386, 1034)(387, 1035)(388, 1036)(389, 1037)(390, 1038)(391, 1039)(392, 1040)(393, 1041)(394, 1042)(395, 1043)(396, 1044)(397, 1045)(398, 1046)(399, 1047)(400, 1048)(401, 1049)(402, 1050)(403, 1051)(404, 1052)(405, 1053)(406, 1054)(407, 1055)(408, 1056)(409, 1057)(410, 1058)(411, 1059)(412, 1060)(413, 1061)(414, 1062)(415, 1063)(416, 1064)(417, 1065)(418, 1066)(419, 1067)(420, 1068)(421, 1069)(422, 1070)(423, 1071)(424, 1072)(425, 1073)(426, 1074)(427, 1075)(428, 1076)(429, 1077)(430, 1078)(431, 1079)(432, 1080)(433, 1081)(434, 1082)(435, 1083)(436, 1084)(437, 1085)(438, 1086)(439, 1087)(440, 1088)(441, 1089)(442, 1090)(443, 1091)(444, 1092)(445, 1093)(446, 1094)(447, 1095)(448, 1096)(449, 1097)(450, 1098)(451, 1099)(452, 1100)(453, 1101)(454, 1102)(455, 1103)(456, 1104)(457, 1105)(458, 1106)(459, 1107)(460, 1108)(461, 1109)(462, 1110)(463, 1111)(464, 1112)(465, 1113)(466, 1114)(467, 1115)(468, 1116)(469, 1117)(470, 1118)(471, 1119)(472, 1120)(473, 1121)(474, 1122)(475, 1123)(476, 1124)(477, 1125)(478, 1126)(479, 1127)(480, 1128)(481, 1129)(482, 1130)(483, 1131)(484, 1132)(485, 1133)(486, 1134)(487, 1135)(488, 1136)(489, 1137)(490, 1138)(491, 1139)(492, 1140)(493, 1141)(494, 1142)(495, 1143)(496, 1144)(497, 1145)(498, 1146)(499, 1147)(500, 1148)(501, 1149)(502, 1150)(503, 1151)(504, 1152)(505, 1153)(506, 1154)(507, 1155)(508, 1156)(509, 1157)(510, 1158)(511, 1159)(512, 1160)(513, 1161)(514, 1162)(515, 1163)(516, 1164)(517, 1165)(518, 1166)(519, 1167)(520, 1168)(521, 1169)(522, 1170)(523, 1171)(524, 1172)(525, 1173)(526, 1174)(527, 1175)(528, 1176)(529, 1177)(530, 1178)(531, 1179)(532, 1180)(533, 1181)(534, 1182)(535, 1183)(536, 1184)(537, 1185)(538, 1186)(539, 1187)(540, 1188)(541, 1189)(542, 1190)(543, 1191)(544, 1192)(545, 1193)(546, 1194)(547, 1195)(548, 1196)(549, 1197)(550, 1198)(551, 1199)(552, 1200)(553, 1201)(554, 1202)(555, 1203)(556, 1204)(557, 1205)(558, 1206)(559, 1207)(560, 1208)(561, 1209)(562, 1210)(563, 1211)(564, 1212)(565, 1213)(566, 1214)(567, 1215)(568, 1216)(569, 1217)(570, 1218)(571, 1219)(572, 1220)(573, 1221)(574, 1222)(575, 1223)(576, 1224)(577, 1225)(578, 1226)(579, 1227)(580, 1228)(581, 1229)(582, 1230)(583, 1231)(584, 1232)(585, 1233)(586, 1234)(587, 1235)(588, 1236)(589, 1237)(590, 1238)(591, 1239)(592, 1240)(593, 1241)(594, 1242)(595, 1243)(596, 1244)(597, 1245)(598, 1246)(599, 1247)(600, 1248)(601, 1249)(602, 1250)(603, 1251)(604, 1252)(605, 1253)(606, 1254)(607, 1255)(608, 1256)(609, 1257)(610, 1258)(611, 1259)(612, 1260)(613, 1261)(614, 1262)(615, 1263)(616, 1264)(617, 1265)(618, 1266)(619, 1267)(620, 1268)(621, 1269)(622, 1270)(623, 1271)(624, 1272)(625, 1273)(626, 1274)(627, 1275)(628, 1276)(629, 1277)(630, 1278)(631, 1279)(632, 1280)(633, 1281)(634, 1282)(635, 1283)(636, 1284)(637, 1285)(638, 1286)(639, 1287)(640, 1288)(641, 1289)(642, 1290)(643, 1291)(644, 1292)(645, 1293)(646, 1294)(647, 1295)(648, 1296)
	local type(s) :: { ( 2, 6, 2, 6 ), ( 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6 ) }
Outer automorphisms :: reflexible
Dual of E10.964
Graph:: bipartite
	v = 198 e = 648 f = 432
	degree seq :: [ 4^162, 18^36 ]

E10.964 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 9})
Quotient :: dipole
Aut^+ = ((C3 x ((C3 x C3) : C2)) : C2) : C3 (small group id <324, 160>)
Aut   = $<648, 703>$ (small group id <648, 703>)
|r| :: 2
Presentation :: [ Y2, R^2, Y1^3, (Y3^-1 * Y1^-1)^2, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y3^3 * Y1^-1 * Y3^2 * Y1^-1 * Y3^-3 * Y1 * Y3^-2 * Y1, (Y3 * Y2^-1)^9, (Y3^-1 * Y1 * Y3^-4 * Y1 * Y3^-2)^2 ]
Map:: polytopal
	R = (1, 325, 2, 326, 4, 328)(3, 327, 8, 332, 10, 334)(5, 329, 12, 336, 6, 330)(7, 331, 15, 339, 11, 335)(9, 333, 18, 342, 20, 344)(13, 337, 25, 349, 23, 347)(14, 338, 24, 348, 28, 352)(16, 340, 31, 355, 29, 353)(17, 341, 33, 357, 21, 345)(19, 343, 36, 360, 38, 362)(22, 346, 30, 354, 42, 366)(26, 350, 47, 371, 45, 369)(27, 351, 49, 373, 51, 375)(32, 356, 57, 381, 55, 379)(34, 358, 61, 385, 59, 383)(35, 359, 63, 387, 39, 363)(37, 361, 66, 390, 67, 391)(40, 364, 60, 384, 71, 395)(41, 365, 72, 396, 74, 398)(43, 367, 46, 370, 77, 401)(44, 368, 78, 402, 52, 376)(48, 372, 84, 408, 82, 406)(50, 374, 86, 410, 87, 411)(53, 377, 56, 380, 91, 415)(54, 378, 92, 416, 75, 399)(58, 382, 98, 422, 96, 420)(62, 386, 103, 427, 101, 425)(64, 388, 106, 430, 104, 428)(65, 389, 108, 432, 68, 392)(69, 393, 105, 429, 114, 438)(70, 394, 115, 439, 117, 441)(73, 397, 120, 444, 121, 445)(76, 400, 124, 448, 126, 450)(79, 403, 130, 454, 128, 452)(80, 404, 83, 407, 133, 457)(81, 405, 134, 458, 127, 451)(85, 409, 139, 463, 88, 412)(89, 413, 129, 453, 145, 469)(90, 414, 146, 470, 148, 472)(93, 417, 152, 476, 150, 474)(94, 418, 97, 421, 155, 479)(95, 419, 156, 480, 149, 473)(99, 423, 102, 426, 162, 486)(100, 424, 163, 487, 118, 442)(107, 431, 172, 496, 170, 494)(109, 433, 154, 478, 173, 497)(110, 434, 176, 500, 111, 435)(112, 436, 174, 498, 180, 504)(113, 437, 143, 467, 182, 506)(116, 440, 185, 509, 186, 510)(119, 443, 189, 513, 122, 446)(123, 447, 151, 475, 179, 503)(125, 449, 195, 519, 196, 520)(131, 455, 201, 525, 199, 523)(132, 456, 202, 526, 190, 514)(135, 459, 206, 530, 166, 490)(136, 460, 138, 462, 209, 533)(137, 461, 157, 481, 204, 528)(140, 464, 161, 485, 211, 535)(141, 465, 213, 537, 142, 466)(144, 468, 193, 517, 217, 541)(147, 471, 219, 543, 220, 544)(153, 477, 224, 548, 223, 547)(158, 482, 160, 484, 230, 554)(159, 483, 164, 488, 226, 550)(165, 489, 167, 491, 236, 560)(168, 492, 171, 495, 200, 524)(169, 493, 238, 562, 183, 507)(175, 499, 243, 567, 225, 549)(177, 501, 235, 559, 244, 568)(178, 502, 245, 569, 248, 572)(181, 505, 251, 575, 252, 576)(184, 508, 194, 518, 187, 511)(188, 512, 233, 557, 247, 571)(191, 515, 257, 581, 192, 516)(197, 521, 205, 529, 263, 587)(198, 522, 264, 588, 218, 542)(203, 527, 256, 580, 268, 592)(207, 531, 272, 596, 271, 595)(208, 532, 273, 597, 214, 538)(210, 534, 265, 589, 275, 599)(212, 536, 276, 600, 232, 556)(215, 539, 277, 601, 262, 586)(216, 540, 278, 602, 279, 603)(221, 545, 227, 551, 284, 608)(222, 546, 285, 609, 249, 573)(228, 552, 290, 614, 269, 593)(229, 553, 291, 615, 258, 582)(231, 555, 286, 610, 293, 617)(234, 558, 294, 618, 289, 613)(237, 561, 239, 563, 295, 619)(240, 564, 241, 565, 297, 621)(242, 566, 299, 623, 250, 574)(246, 570, 302, 626, 270, 594)(253, 577, 296, 620, 274, 598)(254, 578, 306, 630, 255, 579)(259, 583, 308, 632, 283, 607)(260, 584, 301, 625, 261, 585)(266, 590, 267, 591, 310, 634)(280, 604, 303, 627, 292, 616)(281, 605, 313, 637, 282, 606)(287, 611, 288, 612, 317, 641)(298, 622, 300, 624, 319, 643)(304, 628, 321, 645, 305, 629)(307, 631, 322, 646, 312, 636)(309, 633, 320, 644, 311, 635)(314, 638, 324, 648, 315, 639)(316, 640, 323, 647, 318, 642)(649, 973)(650, 974)(651, 975)(652, 976)(653, 977)(654, 978)(655, 979)(656, 980)(657, 981)(658, 982)(659, 983)(660, 984)(661, 985)(662, 986)(663, 987)(664, 988)(665, 989)(666, 990)(667, 991)(668, 992)(669, 993)(670, 994)(671, 995)(672, 996)(673, 997)(674, 998)(675, 999)(676, 1000)(677, 1001)(678, 1002)(679, 1003)(680, 1004)(681, 1005)(682, 1006)(683, 1007)(684, 1008)(685, 1009)(686, 1010)(687, 1011)(688, 1012)(689, 1013)(690, 1014)(691, 1015)(692, 1016)(693, 1017)(694, 1018)(695, 1019)(696, 1020)(697, 1021)(698, 1022)(699, 1023)(700, 1024)(701, 1025)(702, 1026)(703, 1027)(704, 1028)(705, 1029)(706, 1030)(707, 1031)(708, 1032)(709, 1033)(710, 1034)(711, 1035)(712, 1036)(713, 1037)(714, 1038)(715, 1039)(716, 1040)(717, 1041)(718, 1042)(719, 1043)(720, 1044)(721, 1045)(722, 1046)(723, 1047)(724, 1048)(725, 1049)(726, 1050)(727, 1051)(728, 1052)(729, 1053)(730, 1054)(731, 1055)(732, 1056)(733, 1057)(734, 1058)(735, 1059)(736, 1060)(737, 1061)(738, 1062)(739, 1063)(740, 1064)(741, 1065)(742, 1066)(743, 1067)(744, 1068)(745, 1069)(746, 1070)(747, 1071)(748, 1072)(749, 1073)(750, 1074)(751, 1075)(752, 1076)(753, 1077)(754, 1078)(755, 1079)(756, 1080)(757, 1081)(758, 1082)(759, 1083)(760, 1084)(761, 1085)(762, 1086)(763, 1087)(764, 1088)(765, 1089)(766, 1090)(767, 1091)(768, 1092)(769, 1093)(770, 1094)(771, 1095)(772, 1096)(773, 1097)(774, 1098)(775, 1099)(776, 1100)(777, 1101)(778, 1102)(779, 1103)(780, 1104)(781, 1105)(782, 1106)(783, 1107)(784, 1108)(785, 1109)(786, 1110)(787, 1111)(788, 1112)(789, 1113)(790, 1114)(791, 1115)(792, 1116)(793, 1117)(794, 1118)(795, 1119)(796, 1120)(797, 1121)(798, 1122)(799, 1123)(800, 1124)(801, 1125)(802, 1126)(803, 1127)(804, 1128)(805, 1129)(806, 1130)(807, 1131)(808, 1132)(809, 1133)(810, 1134)(811, 1135)(812, 1136)(813, 1137)(814, 1138)(815, 1139)(816, 1140)(817, 1141)(818, 1142)(819, 1143)(820, 1144)(821, 1145)(822, 1146)(823, 1147)(824, 1148)(825, 1149)(826, 1150)(827, 1151)(828, 1152)(829, 1153)(830, 1154)(831, 1155)(832, 1156)(833, 1157)(834, 1158)(835, 1159)(836, 1160)(837, 1161)(838, 1162)(839, 1163)(840, 1164)(841, 1165)(842, 1166)(843, 1167)(844, 1168)(845, 1169)(846, 1170)(847, 1171)(848, 1172)(849, 1173)(850, 1174)(851, 1175)(852, 1176)(853, 1177)(854, 1178)(855, 1179)(856, 1180)(857, 1181)(858, 1182)(859, 1183)(860, 1184)(861, 1185)(862, 1186)(863, 1187)(864, 1188)(865, 1189)(866, 1190)(867, 1191)(868, 1192)(869, 1193)(870, 1194)(871, 1195)(872, 1196)(873, 1197)(874, 1198)(875, 1199)(876, 1200)(877, 1201)(878, 1202)(879, 1203)(880, 1204)(881, 1205)(882, 1206)(883, 1207)(884, 1208)(885, 1209)(886, 1210)(887, 1211)(888, 1212)(889, 1213)(890, 1214)(891, 1215)(892, 1216)(893, 1217)(894, 1218)(895, 1219)(896, 1220)(897, 1221)(898, 1222)(899, 1223)(900, 1224)(901, 1225)(902, 1226)(903, 1227)(904, 1228)(905, 1229)(906, 1230)(907, 1231)(908, 1232)(909, 1233)(910, 1234)(911, 1235)(912, 1236)(913, 1237)(914, 1238)(915, 1239)(916, 1240)(917, 1241)(918, 1242)(919, 1243)(920, 1244)(921, 1245)(922, 1246)(923, 1247)(924, 1248)(925, 1249)(926, 1250)(927, 1251)(928, 1252)(929, 1253)(930, 1254)(931, 1255)(932, 1256)(933, 1257)(934, 1258)(935, 1259)(936, 1260)(937, 1261)(938, 1262)(939, 1263)(940, 1264)(941, 1265)(942, 1266)(943, 1267)(944, 1268)(945, 1269)(946, 1270)(947, 1271)(948, 1272)(949, 1273)(950, 1274)(951, 1275)(952, 1276)(953, 1277)(954, 1278)(955, 1279)(956, 1280)(957, 1281)(958, 1282)(959, 1283)(960, 1284)(961, 1285)(962, 1286)(963, 1287)(964, 1288)(965, 1289)(966, 1290)(967, 1291)(968, 1292)(969, 1293)(970, 1294)(971, 1295)(972, 1296)
	L = (1, 651)(2, 654)(3, 657)(4, 659)(5, 649)(6, 662)(7, 650)(8, 652)(9, 667)(10, 669)(11, 670)(12, 671)(13, 653)(14, 675)(15, 677)(16, 655)(17, 656)(18, 658)(19, 685)(20, 687)(21, 688)(22, 689)(23, 691)(24, 660)(25, 693)(26, 661)(27, 698)(28, 700)(29, 701)(30, 663)(31, 703)(32, 664)(33, 707)(34, 665)(35, 666)(36, 668)(37, 696)(38, 716)(39, 717)(40, 718)(41, 721)(42, 723)(43, 724)(44, 672)(45, 728)(46, 673)(47, 730)(48, 674)(49, 676)(50, 706)(51, 736)(52, 737)(53, 738)(54, 678)(55, 742)(56, 679)(57, 744)(58, 680)(59, 747)(60, 681)(61, 749)(62, 682)(63, 752)(64, 683)(65, 684)(66, 686)(67, 759)(68, 760)(69, 761)(70, 764)(71, 766)(72, 690)(73, 710)(74, 770)(75, 771)(76, 773)(77, 775)(78, 776)(79, 692)(80, 780)(81, 694)(82, 784)(83, 695)(84, 715)(85, 697)(86, 699)(87, 790)(88, 791)(89, 792)(90, 795)(91, 797)(92, 798)(93, 702)(94, 802)(95, 704)(96, 806)(97, 705)(98, 735)(99, 809)(100, 708)(101, 813)(102, 709)(103, 769)(104, 816)(105, 711)(106, 818)(107, 712)(108, 821)(109, 713)(110, 714)(111, 826)(112, 827)(113, 829)(114, 831)(115, 719)(116, 755)(117, 835)(118, 836)(119, 720)(120, 722)(121, 840)(122, 841)(123, 828)(124, 725)(125, 779)(126, 832)(127, 845)(128, 819)(129, 726)(130, 847)(131, 727)(132, 851)(133, 852)(134, 814)(135, 729)(136, 856)(137, 731)(138, 732)(139, 859)(140, 733)(141, 734)(142, 863)(143, 762)(144, 864)(145, 866)(146, 739)(147, 801)(148, 842)(149, 869)(150, 848)(151, 740)(152, 871)(153, 741)(154, 873)(155, 874)(156, 785)(157, 743)(158, 877)(159, 745)(160, 746)(161, 880)(162, 854)(163, 807)(164, 748)(165, 883)(166, 750)(167, 751)(168, 800)(169, 753)(170, 888)(171, 754)(172, 834)(173, 803)(174, 756)(175, 757)(176, 892)(177, 758)(178, 895)(179, 897)(180, 898)(181, 823)(182, 787)(183, 901)(184, 763)(185, 765)(186, 903)(187, 794)(188, 896)(189, 850)(190, 767)(191, 768)(192, 907)(193, 793)(194, 772)(195, 774)(196, 909)(197, 910)(198, 777)(199, 914)(200, 778)(201, 844)(202, 781)(203, 855)(204, 917)(205, 782)(206, 919)(207, 783)(208, 922)(209, 923)(210, 786)(211, 810)(212, 788)(213, 921)(214, 789)(215, 911)(216, 860)(217, 837)(218, 928)(219, 796)(220, 930)(221, 931)(222, 799)(223, 935)(224, 868)(225, 876)(226, 937)(227, 804)(228, 805)(229, 940)(230, 941)(231, 808)(232, 882)(233, 811)(234, 812)(235, 918)(236, 943)(237, 815)(238, 885)(239, 817)(240, 913)(241, 820)(242, 822)(243, 900)(244, 884)(245, 824)(246, 825)(247, 951)(248, 908)(249, 894)(250, 904)(251, 830)(252, 953)(253, 862)(254, 833)(255, 955)(256, 838)(257, 939)(258, 839)(259, 932)(260, 843)(261, 957)(262, 929)(263, 950)(264, 858)(265, 846)(266, 934)(267, 849)(268, 947)(269, 959)(270, 853)(271, 960)(272, 916)(273, 857)(274, 875)(275, 945)(276, 927)(277, 861)(278, 865)(279, 963)(280, 906)(281, 867)(282, 964)(283, 902)(284, 944)(285, 879)(286, 870)(287, 887)(288, 872)(289, 966)(290, 891)(291, 878)(292, 881)(293, 958)(294, 924)(295, 965)(296, 886)(297, 967)(298, 889)(299, 946)(300, 890)(301, 893)(302, 933)(303, 912)(304, 899)(305, 915)(306, 956)(307, 920)(308, 905)(309, 938)(310, 969)(311, 962)(312, 952)(313, 925)(314, 926)(315, 936)(316, 942)(317, 972)(318, 948)(319, 971)(320, 949)(321, 970)(322, 954)(323, 961)(324, 968)(325, 973)(326, 974)(327, 975)(328, 976)(329, 977)(330, 978)(331, 979)(332, 980)(333, 981)(334, 982)(335, 983)(336, 984)(337, 985)(338, 986)(339, 987)(340, 988)(341, 989)(342, 990)(343, 991)(344, 992)(345, 993)(346, 994)(347, 995)(348, 996)(349, 997)(350, 998)(351, 999)(352, 1000)(353, 1001)(354, 1002)(355, 1003)(356, 1004)(357, 1005)(358, 1006)(359, 1007)(360, 1008)(361, 1009)(362, 1010)(363, 1011)(364, 1012)(365, 1013)(366, 1014)(367, 1015)(368, 1016)(369, 1017)(370, 1018)(371, 1019)(372, 1020)(373, 1021)(374, 1022)(375, 1023)(376, 1024)(377, 1025)(378, 1026)(379, 1027)(380, 1028)(381, 1029)(382, 1030)(383, 1031)(384, 1032)(385, 1033)(386, 1034)(387, 1035)(388, 1036)(389, 1037)(390, 1038)(391, 1039)(392, 1040)(393, 1041)(394, 1042)(395, 1043)(396, 1044)(397, 1045)(398, 1046)(399, 1047)(400, 1048)(401, 1049)(402, 1050)(403, 1051)(404, 1052)(405, 1053)(406, 1054)(407, 1055)(408, 1056)(409, 1057)(410, 1058)(411, 1059)(412, 1060)(413, 1061)(414, 1062)(415, 1063)(416, 1064)(417, 1065)(418, 1066)(419, 1067)(420, 1068)(421, 1069)(422, 1070)(423, 1071)(424, 1072)(425, 1073)(426, 1074)(427, 1075)(428, 1076)(429, 1077)(430, 1078)(431, 1079)(432, 1080)(433, 1081)(434, 1082)(435, 1083)(436, 1084)(437, 1085)(438, 1086)(439, 1087)(440, 1088)(441, 1089)(442, 1090)(443, 1091)(444, 1092)(445, 1093)(446, 1094)(447, 1095)(448, 1096)(449, 1097)(450, 1098)(451, 1099)(452, 1100)(453, 1101)(454, 1102)(455, 1103)(456, 1104)(457, 1105)(458, 1106)(459, 1107)(460, 1108)(461, 1109)(462, 1110)(463, 1111)(464, 1112)(465, 1113)(466, 1114)(467, 1115)(468, 1116)(469, 1117)(470, 1118)(471, 1119)(472, 1120)(473, 1121)(474, 1122)(475, 1123)(476, 1124)(477, 1125)(478, 1126)(479, 1127)(480, 1128)(481, 1129)(482, 1130)(483, 1131)(484, 1132)(485, 1133)(486, 1134)(487, 1135)(488, 1136)(489, 1137)(490, 1138)(491, 1139)(492, 1140)(493, 1141)(494, 1142)(495, 1143)(496, 1144)(497, 1145)(498, 1146)(499, 1147)(500, 1148)(501, 1149)(502, 1150)(503, 1151)(504, 1152)(505, 1153)(506, 1154)(507, 1155)(508, 1156)(509, 1157)(510, 1158)(511, 1159)(512, 1160)(513, 1161)(514, 1162)(515, 1163)(516, 1164)(517, 1165)(518, 1166)(519, 1167)(520, 1168)(521, 1169)(522, 1170)(523, 1171)(524, 1172)(525, 1173)(526, 1174)(527, 1175)(528, 1176)(529, 1177)(530, 1178)(531, 1179)(532, 1180)(533, 1181)(534, 1182)(535, 1183)(536, 1184)(537, 1185)(538, 1186)(539, 1187)(540, 1188)(541, 1189)(542, 1190)(543, 1191)(544, 1192)(545, 1193)(546, 1194)(547, 1195)(548, 1196)(549, 1197)(550, 1198)(551, 1199)(552, 1200)(553, 1201)(554, 1202)(555, 1203)(556, 1204)(557, 1205)(558, 1206)(559, 1207)(560, 1208)(561, 1209)(562, 1210)(563, 1211)(564, 1212)(565, 1213)(566, 1214)(567, 1215)(568, 1216)(569, 1217)(570, 1218)(571, 1219)(572, 1220)(573, 1221)(574, 1222)(575, 1223)(576, 1224)(577, 1225)(578, 1226)(579, 1227)(580, 1228)(581, 1229)(582, 1230)(583, 1231)(584, 1232)(585, 1233)(586, 1234)(587, 1235)(588, 1236)(589, 1237)(590, 1238)(591, 1239)(592, 1240)(593, 1241)(594, 1242)(595, 1243)(596, 1244)(597, 1245)(598, 1246)(599, 1247)(600, 1248)(601, 1249)(602, 1250)(603, 1251)(604, 1252)(605, 1253)(606, 1254)(607, 1255)(608, 1256)(609, 1257)(610, 1258)(611, 1259)(612, 1260)(613, 1261)(614, 1262)(615, 1263)(616, 1264)(617, 1265)(618, 1266)(619, 1267)(620, 1268)(621, 1269)(622, 1270)(623, 1271)(624, 1272)(625, 1273)(626, 1274)(627, 1275)(628, 1276)(629, 1277)(630, 1278)(631, 1279)(632, 1280)(633, 1281)(634, 1282)(635, 1283)(636, 1284)(637, 1285)(638, 1286)(639, 1287)(640, 1288)(641, 1289)(642, 1290)(643, 1291)(644, 1292)(645, 1293)(646, 1294)(647, 1295)(648, 1296)
	local type(s) :: { ( 4, 18 ), ( 4, 18, 4, 18, 4, 18 ) }
Outer automorphisms :: reflexible
Dual of E10.963
Graph:: simple bipartite
	v = 432 e = 648 f = 198
	degree seq :: [ 2^324, 6^108 ]

E10.965 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 4, 5})
Quotient :: regular
Aut^+ = A6 (small group id <360, 118>)
Aut   = A6 : C2 (small group id <720, 764>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T1^5, (T2 * T1)^4, (T2 * T1^2)^5, (T2 * T1 * T2 * T1^-1)^4 ]
Map:: polyhedral non-degenerate
	R = (1, 2, 5, 10, 4)(3, 7, 14, 17, 8)(6, 12, 23, 26, 13)(9, 18, 32, 34, 19)(11, 21, 37, 40, 22)(15, 28, 47, 49, 29)(16, 30, 50, 42, 24)(20, 35, 58, 60, 36)(25, 43, 68, 62, 38)(27, 45, 72, 75, 46)(31, 52, 82, 84, 53)(33, 55, 87, 89, 56)(39, 63, 98, 93, 59)(41, 65, 102, 105, 66)(44, 70, 110, 112, 71)(48, 77, 119, 114, 73)(51, 80, 125, 127, 81)(54, 85, 131, 134, 86)(57, 90, 138, 140, 91)(61, 95, 130, 148, 96)(64, 100, 153, 155, 101)(67, 106, 159, 156, 103)(69, 108, 163, 165, 109)(74, 115, 171, 129, 83)(76, 117, 175, 177, 118)(78, 121, 180, 182, 122)(79, 123, 183, 186, 124)(88, 136, 198, 193, 132)(92, 141, 168, 205, 142)(94, 144, 169, 113, 145)(97, 149, 210, 187, 146)(99, 151, 214, 216, 152)(104, 157, 219, 167, 111)(107, 161, 224, 227, 162)(116, 173, 238, 240, 174)(120, 179, 244, 225, 164)(126, 188, 251, 248, 184)(128, 190, 247, 256, 191)(133, 194, 257, 202, 139)(135, 196, 170, 234, 197)(137, 199, 262, 264, 200)(143, 206, 269, 228, 203)(147, 208, 271, 218, 154)(150, 212, 275, 278, 213)(158, 221, 285, 286, 222)(160, 185, 249, 276, 215)(166, 230, 250, 293, 231)(172, 236, 297, 298, 237)(176, 241, 277, 246, 181)(178, 229, 290, 304, 243)(189, 252, 309, 311, 253)(192, 220, 284, 305, 254)(195, 259, 306, 245, 260)(201, 265, 317, 318, 266)(204, 267, 319, 270, 207)(209, 255, 312, 324, 273)(211, 226, 288, 263, 261)(217, 280, 289, 328, 281)(223, 279, 326, 330, 287)(232, 272, 323, 308, 291)(233, 294, 325, 300, 239)(235, 296, 336, 322, 283)(242, 301, 339, 332, 302)(258, 314, 307, 335, 315)(268, 292, 333, 316, 321)(274, 295, 303, 340, 310)(282, 320, 347, 331, 327)(299, 337, 341, 352, 334)(313, 342, 356, 343, 345)(329, 349, 350, 359, 348)(338, 344, 357, 355, 353)(346, 351, 360, 354, 358)
	L = (1, 3)(2, 6)(4, 9)(5, 11)(7, 15)(8, 16)(10, 20)(12, 24)(13, 25)(14, 27)(17, 31)(18, 33)(19, 28)(21, 38)(22, 39)(23, 41)(26, 44)(29, 48)(30, 51)(32, 54)(34, 57)(35, 59)(36, 55)(37, 61)(40, 64)(42, 67)(43, 69)(45, 73)(46, 74)(47, 76)(49, 78)(50, 79)(52, 83)(53, 80)(56, 88)(58, 92)(60, 94)(62, 97)(63, 99)(65, 103)(66, 104)(68, 107)(70, 111)(71, 108)(72, 113)(75, 116)(77, 120)(81, 126)(82, 128)(84, 130)(85, 132)(86, 133)(87, 135)(89, 137)(90, 139)(91, 117)(93, 143)(95, 146)(96, 147)(98, 150)(100, 154)(101, 151)(102, 140)(105, 158)(106, 160)(109, 164)(110, 166)(112, 168)(114, 170)(115, 172)(118, 176)(119, 178)(121, 181)(122, 179)(123, 184)(124, 185)(125, 187)(127, 189)(129, 192)(131, 155)(134, 195)(136, 188)(138, 201)(141, 203)(142, 204)(144, 207)(145, 196)(148, 209)(149, 211)(152, 215)(153, 217)(156, 175)(157, 220)(159, 223)(161, 225)(162, 226)(163, 228)(165, 229)(167, 232)(169, 233)(171, 235)(173, 239)(174, 236)(177, 242)(180, 245)(182, 247)(183, 240)(186, 250)(190, 254)(191, 255)(193, 214)(194, 258)(197, 261)(198, 253)(199, 263)(200, 251)(202, 237)(205, 268)(206, 241)(208, 272)(210, 274)(212, 276)(213, 277)(216, 279)(218, 282)(219, 283)(221, 266)(222, 284)(224, 286)(227, 289)(230, 291)(231, 292)(234, 295)(238, 299)(243, 303)(244, 305)(246, 307)(248, 297)(249, 308)(252, 310)(256, 313)(257, 296)(259, 281)(260, 314)(262, 316)(264, 317)(265, 298)(267, 320)(269, 302)(270, 315)(271, 322)(273, 323)(275, 324)(278, 325)(280, 327)(285, 329)(287, 301)(288, 331)(290, 332)(293, 334)(294, 335)(300, 338)(304, 341)(306, 342)(309, 343)(311, 326)(312, 344)(318, 346)(319, 336)(321, 347)(328, 348)(330, 350)(333, 351)(337, 353)(339, 354)(340, 355)(345, 357)(349, 358)(352, 360)(356, 359)
	local type(s) :: { ( 4^5 ) }
Outer automorphisms :: reflexible
Dual of E10.966
Transitivity :: ET+ VT+ AT+ REG+
Graph:: simple
	v = 72 e = 180 f = 90
	degree seq :: [ 5^72 ]

E10.966 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 4, 5})
Quotient :: regular
Aut^+ = A6 (small group id <360, 118>)
Aut   = A6 : C2 (small group id <720, 764>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T1^4, (T2 * T1)^5, T1 * T2 * T1^-2 * T2 * T1^-2 * T2 * T1^-2 * T2 * T1^-2 * T2 * T1, (T2 * T1 * T2 * T1^-1)^4 ]
Map:: polyhedral non-degenerate
	R = (1, 2, 5, 4)(3, 7, 13, 8)(6, 11, 20, 12)(9, 16, 28, 17)(10, 18, 31, 19)(14, 24, 41, 25)(15, 26, 44, 27)(21, 35, 57, 36)(22, 37, 59, 38)(23, 39, 61, 40)(29, 47, 73, 48)(30, 49, 65, 42)(32, 51, 78, 52)(33, 53, 80, 54)(34, 55, 82, 56)(43, 66, 99, 67)(45, 69, 103, 70)(46, 71, 105, 72)(50, 76, 91, 77)(58, 86, 127, 87)(60, 89, 131, 90)(62, 92, 133, 93)(63, 94, 135, 95)(64, 96, 137, 97)(68, 101, 144, 102)(74, 109, 156, 110)(75, 111, 157, 112)(79, 116, 165, 117)(81, 119, 169, 120)(83, 121, 171, 122)(84, 123, 173, 124)(85, 125, 175, 126)(88, 129, 180, 130)(98, 140, 195, 141)(100, 143, 184, 132)(104, 148, 204, 149)(106, 150, 205, 151)(107, 152, 207, 153)(108, 154, 209, 155)(113, 159, 215, 160)(114, 161, 216, 162)(115, 163, 217, 164)(118, 167, 222, 168)(128, 179, 226, 170)(134, 186, 241, 187)(136, 189, 244, 190)(138, 191, 246, 192)(139, 193, 248, 194)(142, 197, 213, 198)(145, 199, 252, 200)(146, 201, 231, 176)(147, 202, 178, 203)(158, 166, 221, 214)(172, 228, 259, 208)(174, 206, 249, 230)(177, 232, 276, 233)(181, 234, 277, 235)(182, 236, 265, 218)(183, 237, 220, 238)(185, 239, 280, 240)(188, 242, 283, 243)(196, 250, 286, 245)(210, 224, 270, 260)(211, 261, 294, 256)(212, 255, 225, 262)(219, 266, 306, 267)(223, 268, 307, 269)(227, 271, 309, 272)(229, 273, 311, 274)(247, 288, 292, 253)(251, 290, 319, 281)(254, 285, 323, 293)(257, 295, 329, 296)(258, 297, 331, 298)(263, 301, 335, 302)(264, 303, 337, 304)(275, 314, 317, 278)(279, 313, 345, 318)(282, 320, 346, 315)(284, 321, 349, 322)(287, 299, 333, 324)(289, 325, 352, 326)(291, 327, 344, 312)(300, 334, 354, 330)(305, 339, 342, 308)(310, 343, 357, 340)(316, 347, 356, 338)(328, 336, 355, 353)(332, 341, 358, 351)(348, 360, 359, 350)
	L = (1, 3)(2, 6)(4, 9)(5, 10)(7, 14)(8, 15)(11, 21)(12, 22)(13, 23)(16, 29)(17, 30)(18, 32)(19, 33)(20, 34)(24, 42)(25, 43)(26, 45)(27, 35)(28, 46)(31, 50)(36, 58)(37, 60)(38, 51)(39, 62)(40, 63)(41, 64)(44, 68)(47, 54)(48, 74)(49, 75)(52, 79)(53, 81)(55, 83)(56, 84)(57, 85)(59, 88)(61, 91)(65, 98)(66, 100)(67, 92)(69, 95)(70, 104)(71, 106)(72, 107)(73, 108)(76, 113)(77, 114)(78, 115)(80, 118)(82, 105)(86, 128)(87, 121)(89, 124)(90, 132)(93, 134)(94, 136)(96, 138)(97, 139)(99, 142)(101, 145)(102, 146)(103, 147)(109, 148)(110, 150)(111, 153)(112, 158)(116, 166)(117, 159)(119, 162)(120, 170)(122, 172)(123, 174)(125, 176)(126, 177)(127, 178)(129, 181)(130, 182)(131, 183)(133, 185)(135, 188)(137, 144)(140, 196)(141, 191)(143, 194)(149, 199)(151, 206)(152, 208)(154, 210)(155, 211)(156, 212)(157, 213)(160, 189)(161, 187)(163, 218)(164, 219)(165, 220)(167, 223)(168, 224)(169, 225)(171, 227)(173, 229)(175, 180)(179, 233)(184, 234)(186, 232)(190, 245)(192, 247)(193, 249)(195, 209)(197, 238)(198, 251)(200, 230)(201, 253)(202, 254)(203, 255)(204, 256)(205, 257)(207, 258)(214, 250)(215, 263)(216, 264)(217, 222)(221, 267)(226, 268)(228, 266)(231, 275)(235, 241)(236, 278)(237, 279)(239, 281)(240, 282)(242, 284)(243, 285)(244, 261)(246, 287)(248, 289)(252, 291)(259, 269)(260, 299)(262, 300)(265, 305)(270, 308)(271, 293)(272, 310)(273, 312)(274, 313)(276, 315)(277, 316)(280, 283)(286, 321)(288, 320)(290, 298)(292, 322)(294, 328)(295, 330)(296, 325)(297, 332)(301, 318)(302, 336)(303, 338)(304, 334)(306, 340)(307, 341)(309, 311)(314, 343)(317, 344)(319, 348)(323, 350)(324, 351)(326, 347)(327, 353)(329, 331)(333, 352)(335, 337)(339, 355)(342, 356)(345, 359)(346, 358)(349, 357)(354, 360)
	local type(s) :: { ( 5^4 ) }
Outer automorphisms :: reflexible
Dual of E10.965
Transitivity :: ET+ VT+ AT+ REG+
Graph:: simple
	v = 90 e = 180 f = 72
	degree seq :: [ 4^90 ]

E10.967 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 4, 5})
Quotient :: edge
Aut^+ = A6 (small group id <360, 118>)
Aut   = A6 : C2 (small group id <720, 764>)
|r| :: 2
Presentation :: [ T1^2, F^2, T2^4, (F * T1)^2, (F * T2)^2, (T1 * T2^-1)^5, T2 * T1 * T2^-2 * T1 * T2^2 * T1 * T2^2 * T1 * T2^2 * T1 * T2, (T2 * T1 * T2^-1 * T1)^4 ]
Map:: polytopal
	R = (1, 3, 8, 4)(2, 5, 11, 6)(7, 13, 24, 14)(9, 16, 29, 17)(10, 18, 32, 19)(12, 21, 37, 22)(15, 26, 44, 27)(20, 34, 55, 35)(23, 38, 60, 39)(25, 41, 65, 42)(28, 46, 71, 47)(30, 49, 50, 31)(33, 52, 80, 53)(36, 57, 86, 58)(40, 62, 94, 63)(43, 66, 99, 67)(45, 69, 104, 70)(48, 73, 109, 74)(51, 77, 116, 78)(54, 81, 121, 82)(56, 84, 124, 85)(59, 88, 129, 89)(61, 91, 134, 92)(64, 96, 139, 97)(68, 101, 83, 102)(72, 106, 152, 107)(75, 111, 157, 112)(76, 113, 160, 114)(79, 118, 165, 119)(87, 126, 176, 127)(90, 131, 181, 132)(93, 135, 186, 136)(95, 137, 189, 138)(98, 140, 192, 141)(100, 143, 197, 144)(103, 147, 202, 148)(105, 150, 206, 151)(108, 153, 209, 154)(110, 155, 212, 156)(115, 161, 217, 162)(117, 163, 220, 164)(120, 166, 213, 167)(122, 169, 227, 170)(123, 171, 228, 172)(125, 174, 185, 175)(128, 177, 234, 178)(130, 179, 237, 180)(133, 183, 239, 184)(142, 194, 247, 195)(145, 198, 251, 199)(146, 200, 252, 201)(149, 203, 255, 204)(158, 196, 249, 214)(159, 215, 263, 216)(168, 224, 270, 225)(173, 229, 274, 230)(182, 226, 272, 238)(187, 241, 261, 211)(188, 210, 219, 235)(190, 243, 250, 222)(191, 221, 267, 244)(193, 245, 289, 246)(205, 256, 294, 257)(207, 258, 277, 233)(208, 232, 253, 259)(218, 265, 279, 236)(223, 268, 307, 269)(231, 275, 310, 276)(240, 282, 316, 283)(242, 285, 319, 286)(248, 284, 318, 290)(254, 281, 315, 293)(260, 297, 332, 298)(262, 299, 334, 300)(264, 295, 329, 302)(266, 304, 338, 305)(271, 303, 337, 308)(273, 301, 335, 309)(278, 312, 345, 313)(280, 314, 322, 288)(287, 320, 349, 321)(291, 324, 351, 325)(292, 326, 352, 327)(296, 330, 354, 331)(306, 339, 357, 340)(311, 343, 360, 344)(317, 346, 355, 348)(323, 350, 353, 328)(333, 347, 356, 336)(341, 358, 359, 342)(361, 362)(363, 367)(364, 369)(365, 370)(366, 372)(368, 375)(371, 380)(373, 383)(374, 385)(376, 388)(377, 390)(378, 391)(379, 393)(381, 396)(382, 398)(384, 400)(386, 403)(387, 405)(389, 408)(392, 411)(394, 414)(395, 416)(397, 419)(399, 421)(401, 424)(402, 426)(404, 428)(406, 430)(407, 432)(409, 435)(410, 436)(412, 439)(413, 441)(415, 443)(417, 445)(418, 447)(420, 450)(422, 453)(423, 455)(425, 458)(427, 460)(429, 463)(431, 465)(433, 468)(434, 470)(437, 475)(438, 477)(440, 480)(442, 482)(444, 483)(446, 485)(448, 488)(449, 490)(451, 493)(452, 495)(454, 469)(456, 498)(457, 479)(459, 502)(461, 505)(462, 506)(464, 509)(466, 486)(467, 513)(471, 516)(472, 518)(473, 519)(474, 521)(476, 489)(478, 524)(481, 528)(484, 533)(487, 537)(491, 540)(492, 542)(494, 545)(496, 547)(497, 548)(499, 550)(500, 551)(501, 553)(503, 556)(504, 558)(507, 561)(508, 544)(510, 565)(511, 567)(512, 568)(514, 570)(515, 571)(517, 573)(520, 566)(522, 578)(523, 579)(525, 581)(526, 582)(527, 583)(529, 586)(530, 560)(531, 559)(532, 576)(534, 591)(535, 592)(536, 593)(538, 595)(539, 596)(541, 552)(543, 598)(546, 600)(549, 602)(554, 606)(555, 608)(557, 610)(562, 613)(563, 614)(564, 616)(569, 620)(572, 622)(574, 575)(577, 624)(580, 626)(584, 629)(585, 631)(587, 604)(588, 618)(589, 633)(590, 635)(594, 638)(597, 640)(599, 641)(601, 644)(603, 647)(605, 648)(607, 615)(609, 650)(611, 651)(612, 652)(617, 655)(619, 656)(621, 653)(623, 661)(625, 663)(627, 666)(628, 660)(630, 634)(632, 668)(636, 642)(637, 671)(639, 669)(643, 677)(645, 673)(646, 680)(649, 683)(654, 688)(657, 691)(658, 664)(659, 693)(662, 696)(665, 699)(667, 701)(670, 702)(672, 704)(674, 706)(675, 707)(676, 679)(678, 708)(681, 684)(682, 705)(685, 703)(686, 700)(687, 690)(689, 698)(692, 694)(695, 715)(697, 716)(709, 719)(710, 720)(711, 712)(713, 717)(714, 718)
	L = (1, 361)(2, 362)(3, 363)(4, 364)(5, 365)(6, 366)(7, 367)(8, 368)(9, 369)(10, 370)(11, 371)(12, 372)(13, 373)(14, 374)(15, 375)(16, 376)(17, 377)(18, 378)(19, 379)(20, 380)(21, 381)(22, 382)(23, 383)(24, 384)(25, 385)(26, 386)(27, 387)(28, 388)(29, 389)(30, 390)(31, 391)(32, 392)(33, 393)(34, 394)(35, 395)(36, 396)(37, 397)(38, 398)(39, 399)(40, 400)(41, 401)(42, 402)(43, 403)(44, 404)(45, 405)(46, 406)(47, 407)(48, 408)(49, 409)(50, 410)(51, 411)(52, 412)(53, 413)(54, 414)(55, 415)(56, 416)(57, 417)(58, 418)(59, 419)(60, 420)(61, 421)(62, 422)(63, 423)(64, 424)(65, 425)(66, 426)(67, 427)(68, 428)(69, 429)(70, 430)(71, 431)(72, 432)(73, 433)(74, 434)(75, 435)(76, 436)(77, 437)(78, 438)(79, 439)(80, 440)(81, 441)(82, 442)(83, 443)(84, 444)(85, 445)(86, 446)(87, 447)(88, 448)(89, 449)(90, 450)(91, 451)(92, 452)(93, 453)(94, 454)(95, 455)(96, 456)(97, 457)(98, 458)(99, 459)(100, 460)(101, 461)(102, 462)(103, 463)(104, 464)(105, 465)(106, 466)(107, 467)(108, 468)(109, 469)(110, 470)(111, 471)(112, 472)(113, 473)(114, 474)(115, 475)(116, 476)(117, 477)(118, 478)(119, 479)(120, 480)(121, 481)(122, 482)(123, 483)(124, 484)(125, 485)(126, 486)(127, 487)(128, 488)(129, 489)(130, 490)(131, 491)(132, 492)(133, 493)(134, 494)(135, 495)(136, 496)(137, 497)(138, 498)(139, 499)(140, 500)(141, 501)(142, 502)(143, 503)(144, 504)(145, 505)(146, 506)(147, 507)(148, 508)(149, 509)(150, 510)(151, 511)(152, 512)(153, 513)(154, 514)(155, 515)(156, 516)(157, 517)(158, 518)(159, 519)(160, 520)(161, 521)(162, 522)(163, 523)(164, 524)(165, 525)(166, 526)(167, 527)(168, 528)(169, 529)(170, 530)(171, 531)(172, 532)(173, 533)(174, 534)(175, 535)(176, 536)(177, 537)(178, 538)(179, 539)(180, 540)(181, 541)(182, 542)(183, 543)(184, 544)(185, 545)(186, 546)(187, 547)(188, 548)(189, 549)(190, 550)(191, 551)(192, 552)(193, 553)(194, 554)(195, 555)(196, 556)(197, 557)(198, 558)(199, 559)(200, 560)(201, 561)(202, 562)(203, 563)(204, 564)(205, 565)(206, 566)(207, 567)(208, 568)(209, 569)(210, 570)(211, 571)(212, 572)(213, 573)(214, 574)(215, 575)(216, 576)(217, 577)(218, 578)(219, 579)(220, 580)(221, 581)(222, 582)(223, 583)(224, 584)(225, 585)(226, 586)(227, 587)(228, 588)(229, 589)(230, 590)(231, 591)(232, 592)(233, 593)(234, 594)(235, 595)(236, 596)(237, 597)(238, 598)(239, 599)(240, 600)(241, 601)(242, 602)(243, 603)(244, 604)(245, 605)(246, 606)(247, 607)(248, 608)(249, 609)(250, 610)(251, 611)(252, 612)(253, 613)(254, 614)(255, 615)(256, 616)(257, 617)(258, 618)(259, 619)(260, 620)(261, 621)(262, 622)(263, 623)(264, 624)(265, 625)(266, 626)(267, 627)(268, 628)(269, 629)(270, 630)(271, 631)(272, 632)(273, 633)(274, 634)(275, 635)(276, 636)(277, 637)(278, 638)(279, 639)(280, 640)(281, 641)(282, 642)(283, 643)(284, 644)(285, 645)(286, 646)(287, 647)(288, 648)(289, 649)(290, 650)(291, 651)(292, 652)(293, 653)(294, 654)(295, 655)(296, 656)(297, 657)(298, 658)(299, 659)(300, 660)(301, 661)(302, 662)(303, 663)(304, 664)(305, 665)(306, 666)(307, 667)(308, 668)(309, 669)(310, 670)(311, 671)(312, 672)(313, 673)(314, 674)(315, 675)(316, 676)(317, 677)(318, 678)(319, 679)(320, 680)(321, 681)(322, 682)(323, 683)(324, 684)(325, 685)(326, 686)(327, 687)(328, 688)(329, 689)(330, 690)(331, 691)(332, 692)(333, 693)(334, 694)(335, 695)(336, 696)(337, 697)(338, 698)(339, 699)(340, 700)(341, 701)(342, 702)(343, 703)(344, 704)(345, 705)(346, 706)(347, 707)(348, 708)(349, 709)(350, 710)(351, 711)(352, 712)(353, 713)(354, 714)(355, 715)(356, 716)(357, 717)(358, 718)(359, 719)(360, 720)
	local type(s) :: { ( 10, 10 ), ( 10^4 ) }
Outer automorphisms :: reflexible
Dual of E10.971
Transitivity :: ET+
Graph:: simple bipartite
	v = 270 e = 360 f = 72
	degree seq :: [ 2^180, 4^90 ]

E10.968 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 4, 5})
Quotient :: edge
Aut^+ = A6 (small group id <360, 118>)
Aut   = A6 : C2 (small group id <720, 764>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, T1^4, (T2^-1 * T1^-1)^2, T2^5, (T2^-1 * T1)^5, T1^-1 * T2^-1 * T1 * T2^2 * T1^2 * T2 * T1^-1 * T2^-2 * T1^-2 * T2^-2 * T1^-1 ]
Map:: polyhedral non-degenerate
	R = (1, 3, 10, 14, 5)(2, 7, 17, 20, 8)(4, 12, 26, 22, 9)(6, 15, 31, 34, 16)(11, 25, 47, 45, 23)(13, 28, 52, 55, 29)(18, 37, 66, 64, 35)(19, 38, 68, 71, 39)(21, 41, 73, 76, 42)(24, 46, 81, 56, 30)(27, 51, 88, 86, 49)(32, 59, 99, 97, 57)(33, 60, 101, 104, 61)(36, 65, 109, 72, 40)(43, 50, 87, 125, 77)(44, 78, 126, 129, 79)(48, 70, 116, 134, 83)(53, 92, 145, 143, 90)(54, 93, 147, 140, 89)(58, 98, 153, 105, 62)(63, 106, 163, 166, 107)(67, 103, 160, 171, 111)(69, 115, 176, 174, 113)(74, 121, 183, 181, 119)(75, 122, 185, 155, 100)(80, 84, 135, 195, 130)(82, 124, 188, 197, 131)(85, 136, 203, 206, 137)(91, 144, 213, 149, 94)(95, 132, 198, 168, 110)(96, 150, 220, 223, 151)(102, 159, 232, 230, 157)(108, 112, 172, 241, 167)(114, 175, 251, 179, 117)(118, 169, 243, 225, 154)(120, 182, 257, 187, 123)(127, 192, 267, 229, 190)(128, 193, 268, 258, 184)(133, 199, 276, 279, 200)(138, 141, 209, 284, 207)(139, 162, 226, 265, 189)(142, 210, 221, 287, 211)(146, 165, 239, 291, 214)(148, 218, 296, 294, 216)(152, 156, 228, 299, 224)(158, 231, 303, 235, 161)(164, 238, 256, 180, 236)(170, 244, 269, 313, 245)(173, 248, 204, 281, 249)(177, 222, 298, 293, 252)(178, 254, 317, 280, 201)(186, 262, 321, 290, 260)(191, 266, 325, 270, 194)(196, 272, 328, 331, 273)(202, 263, 319, 327, 271)(205, 282, 277, 304, 233)(208, 217, 295, 337, 285)(212, 215, 292, 338, 288)(219, 289, 339, 309, 247)(227, 261, 307, 343, 301)(234, 305, 345, 314, 246)(237, 259, 320, 308, 240)(242, 275, 326, 349, 310)(250, 253, 316, 334, 283)(255, 315, 351, 341, 302)(264, 323, 355, 332, 274)(278, 333, 329, 354, 322)(286, 306, 344, 357, 335)(297, 312, 350, 330, 340)(300, 311, 347, 353, 324)(318, 342, 359, 348, 352)(336, 358, 356, 360, 346)(361, 362, 366, 364)(363, 369, 381, 371)(365, 373, 378, 367)(368, 379, 392, 375)(370, 383, 404, 384)(372, 376, 393, 387)(374, 390, 413, 388)(377, 395, 423, 396)(380, 400, 429, 398)(382, 403, 434, 401)(385, 402, 435, 408)(386, 409, 445, 410)(389, 414, 427, 397)(391, 417, 456, 418)(394, 422, 462, 420)(399, 430, 460, 419)(405, 440, 487, 438)(406, 439, 488, 442)(407, 443, 493, 444)(411, 421, 463, 449)(412, 450, 502, 451)(415, 454, 508, 453)(416, 455, 506, 452)(424, 468, 524, 466)(425, 467, 525, 470)(426, 471, 530, 472)(428, 473, 533, 474)(431, 477, 538, 476)(432, 478, 537, 475)(433, 479, 540, 480)(436, 483, 546, 482)(437, 484, 544, 481)(441, 491, 556, 492)(446, 498, 564, 496)(447, 497, 565, 499)(448, 500, 568, 501)(457, 512, 581, 510)(458, 511, 582, 514)(459, 515, 587, 516)(461, 517, 589, 518)(464, 521, 594, 520)(465, 522, 593, 519)(469, 528, 602, 529)(485, 549, 624, 548)(486, 550, 590, 551)(489, 554, 629, 553)(490, 504, 571, 552)(494, 561, 637, 559)(495, 560, 638, 562)(503, 572, 580, 570)(505, 574, 650, 575)(507, 576, 653, 577)(509, 579, 657, 578)(513, 585, 660, 586)(523, 596, 541, 597)(526, 600, 667, 599)(527, 535, 609, 598)(531, 606, 628, 604)(532, 605, 672, 607)(534, 610, 563, 608)(536, 612, 654, 613)(539, 615, 678, 614)(542, 616, 641, 567)(543, 618, 674, 619)(545, 620, 651, 621)(547, 623, 682, 622)(555, 631, 649, 573)(557, 634, 689, 632)(558, 633, 690, 635)(566, 643, 636, 642)(569, 645, 696, 646)(583, 648, 655, 658)(584, 591, 627, 647)(588, 661, 702, 662)(592, 664, 640, 626)(595, 666, 706, 665)(601, 669, 675, 611)(603, 670, 708, 671)(617, 644, 695, 679)(625, 684, 716, 683)(630, 686, 710, 673)(639, 694, 688, 693)(652, 681, 714, 692)(656, 700, 691, 676)(659, 701, 704, 663)(668, 707, 719, 703)(677, 712, 709, 685)(680, 705, 720, 713)(687, 717, 711, 699)(697, 698, 715, 718)
	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) :: { ( 4^4 ), ( 4^5 ) }
Outer automorphisms :: reflexible
Dual of E10.972
Transitivity :: ET+
Graph:: simple bipartite
	v = 162 e = 360 f = 180
	degree seq :: [ 4^90, 5^72 ]

E10.969 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 4, 5})
Quotient :: edge
Aut^+ = A6 (small group id <360, 118>)
Aut   = A6 : C2 (small group id <720, 764>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T1^5, (T2 * T1^-1)^4, (T2 * T1^2)^5, (T2 * T1 * T2 * T1^-1)^4 ]
Map:: polytopal
	R = (1, 3)(2, 6)(4, 9)(5, 11)(7, 15)(8, 16)(10, 20)(12, 24)(13, 25)(14, 27)(17, 31)(18, 33)(19, 28)(21, 38)(22, 39)(23, 41)(26, 44)(29, 48)(30, 51)(32, 54)(34, 57)(35, 59)(36, 55)(37, 61)(40, 64)(42, 67)(43, 69)(45, 73)(46, 74)(47, 76)(49, 78)(50, 79)(52, 83)(53, 80)(56, 88)(58, 92)(60, 94)(62, 97)(63, 99)(65, 103)(66, 104)(68, 107)(70, 111)(71, 108)(72, 113)(75, 116)(77, 120)(81, 126)(82, 128)(84, 130)(85, 132)(86, 133)(87, 135)(89, 137)(90, 139)(91, 117)(93, 143)(95, 146)(96, 147)(98, 150)(100, 154)(101, 151)(102, 140)(105, 158)(106, 160)(109, 164)(110, 166)(112, 168)(114, 170)(115, 172)(118, 176)(119, 178)(121, 181)(122, 179)(123, 184)(124, 185)(125, 187)(127, 189)(129, 192)(131, 155)(134, 195)(136, 188)(138, 201)(141, 203)(142, 204)(144, 207)(145, 196)(148, 209)(149, 211)(152, 215)(153, 217)(156, 175)(157, 220)(159, 223)(161, 225)(162, 226)(163, 228)(165, 229)(167, 232)(169, 233)(171, 235)(173, 239)(174, 236)(177, 242)(180, 245)(182, 247)(183, 240)(186, 250)(190, 254)(191, 255)(193, 214)(194, 258)(197, 261)(198, 253)(199, 263)(200, 251)(202, 237)(205, 268)(206, 241)(208, 272)(210, 274)(212, 276)(213, 277)(216, 279)(218, 282)(219, 283)(221, 266)(222, 284)(224, 286)(227, 289)(230, 291)(231, 292)(234, 295)(238, 299)(243, 303)(244, 305)(246, 307)(248, 297)(249, 308)(252, 310)(256, 313)(257, 296)(259, 281)(260, 314)(262, 316)(264, 317)(265, 298)(267, 320)(269, 302)(270, 315)(271, 322)(273, 323)(275, 324)(278, 325)(280, 327)(285, 329)(287, 301)(288, 331)(290, 332)(293, 334)(294, 335)(300, 338)(304, 341)(306, 342)(309, 343)(311, 326)(312, 344)(318, 346)(319, 336)(321, 347)(328, 348)(330, 350)(333, 351)(337, 353)(339, 354)(340, 355)(345, 357)(349, 358)(352, 360)(356, 359)(361, 362, 365, 370, 364)(363, 367, 374, 377, 368)(366, 372, 383, 386, 373)(369, 378, 392, 394, 379)(371, 381, 397, 400, 382)(375, 388, 407, 409, 389)(376, 390, 410, 402, 384)(380, 395, 418, 420, 396)(385, 403, 428, 422, 398)(387, 405, 432, 435, 406)(391, 412, 442, 444, 413)(393, 415, 447, 449, 416)(399, 423, 458, 453, 419)(401, 425, 462, 465, 426)(404, 430, 470, 472, 431)(408, 437, 479, 474, 433)(411, 440, 485, 487, 441)(414, 445, 491, 494, 446)(417, 450, 498, 500, 451)(421, 455, 490, 508, 456)(424, 460, 513, 515, 461)(427, 466, 519, 516, 463)(429, 468, 523, 525, 469)(434, 475, 531, 489, 443)(436, 477, 535, 537, 478)(438, 481, 540, 542, 482)(439, 483, 543, 546, 484)(448, 496, 558, 553, 492)(452, 501, 528, 565, 502)(454, 504, 529, 473, 505)(457, 509, 570, 547, 506)(459, 511, 574, 576, 512)(464, 517, 579, 527, 471)(467, 521, 584, 587, 522)(476, 533, 598, 600, 534)(480, 539, 604, 585, 524)(486, 548, 611, 608, 544)(488, 550, 607, 616, 551)(493, 554, 617, 562, 499)(495, 556, 530, 594, 557)(497, 559, 622, 624, 560)(503, 566, 629, 588, 563)(507, 568, 631, 578, 514)(510, 572, 635, 638, 573)(518, 581, 645, 646, 582)(520, 545, 609, 636, 575)(526, 590, 610, 653, 591)(532, 596, 657, 658, 597)(536, 601, 637, 606, 541)(538, 589, 650, 664, 603)(549, 612, 669, 671, 613)(552, 580, 644, 665, 614)(555, 619, 666, 605, 620)(561, 625, 677, 678, 626)(564, 627, 679, 630, 567)(569, 615, 672, 684, 633)(571, 586, 648, 623, 621)(577, 640, 649, 688, 641)(583, 639, 686, 690, 647)(592, 632, 683, 668, 651)(593, 654, 685, 660, 599)(595, 656, 696, 682, 643)(602, 661, 699, 692, 662)(618, 674, 667, 695, 675)(628, 652, 693, 676, 681)(634, 655, 663, 700, 670)(642, 680, 707, 691, 687)(659, 697, 701, 712, 694)(673, 702, 716, 703, 705)(689, 709, 710, 719, 708)(698, 704, 717, 715, 713)(706, 711, 720, 714, 718)
	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) :: { ( 8, 8 ), ( 8^5 ) }
Outer automorphisms :: reflexible
Dual of E10.970
Transitivity :: ET+
Graph:: simple bipartite
	v = 252 e = 360 f = 90
	degree seq :: [ 2^180, 5^72 ]

E10.970 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 4, 5})
Quotient :: loop
Aut^+ = A6 (small group id <360, 118>)
Aut   = A6 : C2 (small group id <720, 764>)
|r| :: 2
Presentation :: [ T1^2, F^2, T2^4, (F * T1)^2, (F * T2)^2, (T1 * T2^-1)^5, T2 * T1 * T2^-2 * T1 * T2^2 * T1 * T2^2 * T1 * T2^2 * T1 * T2, (T2 * T1 * T2^-1 * T1)^4 ]
Map::
	R = (1, 361, 3, 363, 8, 368, 4, 364)(2, 362, 5, 365, 11, 371, 6, 366)(7, 367, 13, 373, 24, 384, 14, 374)(9, 369, 16, 376, 29, 389, 17, 377)(10, 370, 18, 378, 32, 392, 19, 379)(12, 372, 21, 381, 37, 397, 22, 382)(15, 375, 26, 386, 44, 404, 27, 387)(20, 380, 34, 394, 55, 415, 35, 395)(23, 383, 38, 398, 60, 420, 39, 399)(25, 385, 41, 401, 65, 425, 42, 402)(28, 388, 46, 406, 71, 431, 47, 407)(30, 390, 49, 409, 50, 410, 31, 391)(33, 393, 52, 412, 80, 440, 53, 413)(36, 396, 57, 417, 86, 446, 58, 418)(40, 400, 62, 422, 94, 454, 63, 423)(43, 403, 66, 426, 99, 459, 67, 427)(45, 405, 69, 429, 104, 464, 70, 430)(48, 408, 73, 433, 109, 469, 74, 434)(51, 411, 77, 437, 116, 476, 78, 438)(54, 414, 81, 441, 121, 481, 82, 442)(56, 416, 84, 444, 124, 484, 85, 445)(59, 419, 88, 448, 129, 489, 89, 449)(61, 421, 91, 451, 134, 494, 92, 452)(64, 424, 96, 456, 139, 499, 97, 457)(68, 428, 101, 461, 83, 443, 102, 462)(72, 432, 106, 466, 152, 512, 107, 467)(75, 435, 111, 471, 157, 517, 112, 472)(76, 436, 113, 473, 160, 520, 114, 474)(79, 439, 118, 478, 165, 525, 119, 479)(87, 447, 126, 486, 176, 536, 127, 487)(90, 450, 131, 491, 181, 541, 132, 492)(93, 453, 135, 495, 186, 546, 136, 496)(95, 455, 137, 497, 189, 549, 138, 498)(98, 458, 140, 500, 192, 552, 141, 501)(100, 460, 143, 503, 197, 557, 144, 504)(103, 463, 147, 507, 202, 562, 148, 508)(105, 465, 150, 510, 206, 566, 151, 511)(108, 468, 153, 513, 209, 569, 154, 514)(110, 470, 155, 515, 212, 572, 156, 516)(115, 475, 161, 521, 217, 577, 162, 522)(117, 477, 163, 523, 220, 580, 164, 524)(120, 480, 166, 526, 213, 573, 167, 527)(122, 482, 169, 529, 227, 587, 170, 530)(123, 483, 171, 531, 228, 588, 172, 532)(125, 485, 174, 534, 185, 545, 175, 535)(128, 488, 177, 537, 234, 594, 178, 538)(130, 490, 179, 539, 237, 597, 180, 540)(133, 493, 183, 543, 239, 599, 184, 544)(142, 502, 194, 554, 247, 607, 195, 555)(145, 505, 198, 558, 251, 611, 199, 559)(146, 506, 200, 560, 252, 612, 201, 561)(149, 509, 203, 563, 255, 615, 204, 564)(158, 518, 196, 556, 249, 609, 214, 574)(159, 519, 215, 575, 263, 623, 216, 576)(168, 528, 224, 584, 270, 630, 225, 585)(173, 533, 229, 589, 274, 634, 230, 590)(182, 542, 226, 586, 272, 632, 238, 598)(187, 547, 241, 601, 261, 621, 211, 571)(188, 548, 210, 570, 219, 579, 235, 595)(190, 550, 243, 603, 250, 610, 222, 582)(191, 551, 221, 581, 267, 627, 244, 604)(193, 553, 245, 605, 289, 649, 246, 606)(205, 565, 256, 616, 294, 654, 257, 617)(207, 567, 258, 618, 277, 637, 233, 593)(208, 568, 232, 592, 253, 613, 259, 619)(218, 578, 265, 625, 279, 639, 236, 596)(223, 583, 268, 628, 307, 667, 269, 629)(231, 591, 275, 635, 310, 670, 276, 636)(240, 600, 282, 642, 316, 676, 283, 643)(242, 602, 285, 645, 319, 679, 286, 646)(248, 608, 284, 644, 318, 678, 290, 650)(254, 614, 281, 641, 315, 675, 293, 653)(260, 620, 297, 657, 332, 692, 298, 658)(262, 622, 299, 659, 334, 694, 300, 660)(264, 624, 295, 655, 329, 689, 302, 662)(266, 626, 304, 664, 338, 698, 305, 665)(271, 631, 303, 663, 337, 697, 308, 668)(273, 633, 301, 661, 335, 695, 309, 669)(278, 638, 312, 672, 345, 705, 313, 673)(280, 640, 314, 674, 322, 682, 288, 648)(287, 647, 320, 680, 349, 709, 321, 681)(291, 651, 324, 684, 351, 711, 325, 685)(292, 652, 326, 686, 352, 712, 327, 687)(296, 656, 330, 690, 354, 714, 331, 691)(306, 666, 339, 699, 357, 717, 340, 700)(311, 671, 343, 703, 360, 720, 344, 704)(317, 677, 346, 706, 355, 715, 348, 708)(323, 683, 350, 710, 353, 713, 328, 688)(333, 693, 347, 707, 356, 716, 336, 696)(341, 701, 358, 718, 359, 719, 342, 702)
	L = (1, 362)(2, 361)(3, 367)(4, 369)(5, 370)(6, 372)(7, 363)(8, 375)(9, 364)(10, 365)(11, 380)(12, 366)(13, 383)(14, 385)(15, 368)(16, 388)(17, 390)(18, 391)(19, 393)(20, 371)(21, 396)(22, 398)(23, 373)(24, 400)(25, 374)(26, 403)(27, 405)(28, 376)(29, 408)(30, 377)(31, 378)(32, 411)(33, 379)(34, 414)(35, 416)(36, 381)(37, 419)(38, 382)(39, 421)(40, 384)(41, 424)(42, 426)(43, 386)(44, 428)(45, 387)(46, 430)(47, 432)(48, 389)(49, 435)(50, 436)(51, 392)(52, 439)(53, 441)(54, 394)(55, 443)(56, 395)(57, 445)(58, 447)(59, 397)(60, 450)(61, 399)(62, 453)(63, 455)(64, 401)(65, 458)(66, 402)(67, 460)(68, 404)(69, 463)(70, 406)(71, 465)(72, 407)(73, 468)(74, 470)(75, 409)(76, 410)(77, 475)(78, 477)(79, 412)(80, 480)(81, 413)(82, 482)(83, 415)(84, 483)(85, 417)(86, 485)(87, 418)(88, 488)(89, 490)(90, 420)(91, 493)(92, 495)(93, 422)(94, 469)(95, 423)(96, 498)(97, 479)(98, 425)(99, 502)(100, 427)(101, 505)(102, 506)(103, 429)(104, 509)(105, 431)(106, 486)(107, 513)(108, 433)(109, 454)(110, 434)(111, 516)(112, 518)(113, 519)(114, 521)(115, 437)(116, 489)(117, 438)(118, 524)(119, 457)(120, 440)(121, 528)(122, 442)(123, 444)(124, 533)(125, 446)(126, 466)(127, 537)(128, 448)(129, 476)(130, 449)(131, 540)(132, 542)(133, 451)(134, 545)(135, 452)(136, 547)(137, 548)(138, 456)(139, 550)(140, 551)(141, 553)(142, 459)(143, 556)(144, 558)(145, 461)(146, 462)(147, 561)(148, 544)(149, 464)(150, 565)(151, 567)(152, 568)(153, 467)(154, 570)(155, 571)(156, 471)(157, 573)(158, 472)(159, 473)(160, 566)(161, 474)(162, 578)(163, 579)(164, 478)(165, 581)(166, 582)(167, 583)(168, 481)(169, 586)(170, 560)(171, 559)(172, 576)(173, 484)(174, 591)(175, 592)(176, 593)(177, 487)(178, 595)(179, 596)(180, 491)(181, 552)(182, 492)(183, 598)(184, 508)(185, 494)(186, 600)(187, 496)(188, 497)(189, 602)(190, 499)(191, 500)(192, 541)(193, 501)(194, 606)(195, 608)(196, 503)(197, 610)(198, 504)(199, 531)(200, 530)(201, 507)(202, 613)(203, 614)(204, 616)(205, 510)(206, 520)(207, 511)(208, 512)(209, 620)(210, 514)(211, 515)(212, 622)(213, 517)(214, 575)(215, 574)(216, 532)(217, 624)(218, 522)(219, 523)(220, 626)(221, 525)(222, 526)(223, 527)(224, 629)(225, 631)(226, 529)(227, 604)(228, 618)(229, 633)(230, 635)(231, 534)(232, 535)(233, 536)(234, 638)(235, 538)(236, 539)(237, 640)(238, 543)(239, 641)(240, 546)(241, 644)(242, 549)(243, 647)(244, 587)(245, 648)(246, 554)(247, 615)(248, 555)(249, 650)(250, 557)(251, 651)(252, 652)(253, 562)(254, 563)(255, 607)(256, 564)(257, 655)(258, 588)(259, 656)(260, 569)(261, 653)(262, 572)(263, 661)(264, 577)(265, 663)(266, 580)(267, 666)(268, 660)(269, 584)(270, 634)(271, 585)(272, 668)(273, 589)(274, 630)(275, 590)(276, 642)(277, 671)(278, 594)(279, 669)(280, 597)(281, 599)(282, 636)(283, 677)(284, 601)(285, 673)(286, 680)(287, 603)(288, 605)(289, 683)(290, 609)(291, 611)(292, 612)(293, 621)(294, 688)(295, 617)(296, 619)(297, 691)(298, 664)(299, 693)(300, 628)(301, 623)(302, 696)(303, 625)(304, 658)(305, 699)(306, 627)(307, 701)(308, 632)(309, 639)(310, 702)(311, 637)(312, 704)(313, 645)(314, 706)(315, 707)(316, 679)(317, 643)(318, 708)(319, 676)(320, 646)(321, 684)(322, 705)(323, 649)(324, 681)(325, 703)(326, 700)(327, 690)(328, 654)(329, 698)(330, 687)(331, 657)(332, 694)(333, 659)(334, 692)(335, 715)(336, 662)(337, 716)(338, 689)(339, 665)(340, 686)(341, 667)(342, 670)(343, 685)(344, 672)(345, 682)(346, 674)(347, 675)(348, 678)(349, 719)(350, 720)(351, 712)(352, 711)(353, 717)(354, 718)(355, 695)(356, 697)(357, 713)(358, 714)(359, 709)(360, 710)
	local type(s) :: { ( 2, 5, 2, 5, 2, 5, 2, 5 ) }
Outer automorphisms :: reflexible
Dual of E10.969
Transitivity :: ET+ VT+ AT
Graph::
	v = 90 e = 360 f = 252
	degree seq :: [ 8^90 ]

E10.971 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 4, 5})
Quotient :: loop
Aut^+ = A6 (small group id <360, 118>)
Aut   = A6 : C2 (small group id <720, 764>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, T1^4, (T2^-1 * T1^-1)^2, T2^5, (T2^-1 * T1)^5, T1^-1 * T2^-1 * T1 * T2^2 * T1^2 * T2 * T1^-1 * T2^-2 * T1^-2 * T2^-2 * T1^-1 ]
Map::
	R = (1, 361, 3, 363, 10, 370, 14, 374, 5, 365)(2, 362, 7, 367, 17, 377, 20, 380, 8, 368)(4, 364, 12, 372, 26, 386, 22, 382, 9, 369)(6, 366, 15, 375, 31, 391, 34, 394, 16, 376)(11, 371, 25, 385, 47, 407, 45, 405, 23, 383)(13, 373, 28, 388, 52, 412, 55, 415, 29, 389)(18, 378, 37, 397, 66, 426, 64, 424, 35, 395)(19, 379, 38, 398, 68, 428, 71, 431, 39, 399)(21, 381, 41, 401, 73, 433, 76, 436, 42, 402)(24, 384, 46, 406, 81, 441, 56, 416, 30, 390)(27, 387, 51, 411, 88, 448, 86, 446, 49, 409)(32, 392, 59, 419, 99, 459, 97, 457, 57, 417)(33, 393, 60, 420, 101, 461, 104, 464, 61, 421)(36, 396, 65, 425, 109, 469, 72, 432, 40, 400)(43, 403, 50, 410, 87, 447, 125, 485, 77, 437)(44, 404, 78, 438, 126, 486, 129, 489, 79, 439)(48, 408, 70, 430, 116, 476, 134, 494, 83, 443)(53, 413, 92, 452, 145, 505, 143, 503, 90, 450)(54, 414, 93, 453, 147, 507, 140, 500, 89, 449)(58, 418, 98, 458, 153, 513, 105, 465, 62, 422)(63, 423, 106, 466, 163, 523, 166, 526, 107, 467)(67, 427, 103, 463, 160, 520, 171, 531, 111, 471)(69, 429, 115, 475, 176, 536, 174, 534, 113, 473)(74, 434, 121, 481, 183, 543, 181, 541, 119, 479)(75, 435, 122, 482, 185, 545, 155, 515, 100, 460)(80, 440, 84, 444, 135, 495, 195, 555, 130, 490)(82, 442, 124, 484, 188, 548, 197, 557, 131, 491)(85, 445, 136, 496, 203, 563, 206, 566, 137, 497)(91, 451, 144, 504, 213, 573, 149, 509, 94, 454)(95, 455, 132, 492, 198, 558, 168, 528, 110, 470)(96, 456, 150, 510, 220, 580, 223, 583, 151, 511)(102, 462, 159, 519, 232, 592, 230, 590, 157, 517)(108, 468, 112, 472, 172, 532, 241, 601, 167, 527)(114, 474, 175, 535, 251, 611, 179, 539, 117, 477)(118, 478, 169, 529, 243, 603, 225, 585, 154, 514)(120, 480, 182, 542, 257, 617, 187, 547, 123, 483)(127, 487, 192, 552, 267, 627, 229, 589, 190, 550)(128, 488, 193, 553, 268, 628, 258, 618, 184, 544)(133, 493, 199, 559, 276, 636, 279, 639, 200, 560)(138, 498, 141, 501, 209, 569, 284, 644, 207, 567)(139, 499, 162, 522, 226, 586, 265, 625, 189, 549)(142, 502, 210, 570, 221, 581, 287, 647, 211, 571)(146, 506, 165, 525, 239, 599, 291, 651, 214, 574)(148, 508, 218, 578, 296, 656, 294, 654, 216, 576)(152, 512, 156, 516, 228, 588, 299, 659, 224, 584)(158, 518, 231, 591, 303, 663, 235, 595, 161, 521)(164, 524, 238, 598, 256, 616, 180, 540, 236, 596)(170, 530, 244, 604, 269, 629, 313, 673, 245, 605)(173, 533, 248, 608, 204, 564, 281, 641, 249, 609)(177, 537, 222, 582, 298, 658, 293, 653, 252, 612)(178, 538, 254, 614, 317, 677, 280, 640, 201, 561)(186, 546, 262, 622, 321, 681, 290, 650, 260, 620)(191, 551, 266, 626, 325, 685, 270, 630, 194, 554)(196, 556, 272, 632, 328, 688, 331, 691, 273, 633)(202, 562, 263, 623, 319, 679, 327, 687, 271, 631)(205, 565, 282, 642, 277, 637, 304, 664, 233, 593)(208, 568, 217, 577, 295, 655, 337, 697, 285, 645)(212, 572, 215, 575, 292, 652, 338, 698, 288, 648)(219, 579, 289, 649, 339, 699, 309, 669, 247, 607)(227, 587, 261, 621, 307, 667, 343, 703, 301, 661)(234, 594, 305, 665, 345, 705, 314, 674, 246, 606)(237, 597, 259, 619, 320, 680, 308, 668, 240, 600)(242, 602, 275, 635, 326, 686, 349, 709, 310, 670)(250, 610, 253, 613, 316, 676, 334, 694, 283, 643)(255, 615, 315, 675, 351, 711, 341, 701, 302, 662)(264, 624, 323, 683, 355, 715, 332, 692, 274, 634)(278, 638, 333, 693, 329, 689, 354, 714, 322, 682)(286, 646, 306, 666, 344, 704, 357, 717, 335, 695)(297, 657, 312, 672, 350, 710, 330, 690, 340, 700)(300, 660, 311, 671, 347, 707, 353, 713, 324, 684)(318, 678, 342, 702, 359, 719, 348, 708, 352, 712)(336, 696, 358, 718, 356, 716, 360, 720, 346, 706)
	L = (1, 362)(2, 366)(3, 369)(4, 361)(5, 373)(6, 364)(7, 365)(8, 379)(9, 381)(10, 383)(11, 363)(12, 376)(13, 378)(14, 390)(15, 368)(16, 393)(17, 395)(18, 367)(19, 392)(20, 400)(21, 371)(22, 403)(23, 404)(24, 370)(25, 402)(26, 409)(27, 372)(28, 374)(29, 414)(30, 413)(31, 417)(32, 375)(33, 387)(34, 422)(35, 423)(36, 377)(37, 389)(38, 380)(39, 430)(40, 429)(41, 382)(42, 435)(43, 434)(44, 384)(45, 440)(46, 439)(47, 443)(48, 385)(49, 445)(50, 386)(51, 421)(52, 450)(53, 388)(54, 427)(55, 454)(56, 455)(57, 456)(58, 391)(59, 399)(60, 394)(61, 463)(62, 462)(63, 396)(64, 468)(65, 467)(66, 471)(67, 397)(68, 473)(69, 398)(70, 460)(71, 477)(72, 478)(73, 479)(74, 401)(75, 408)(76, 483)(77, 484)(78, 405)(79, 488)(80, 487)(81, 491)(82, 406)(83, 493)(84, 407)(85, 410)(86, 498)(87, 497)(88, 500)(89, 411)(90, 502)(91, 412)(92, 416)(93, 415)(94, 508)(95, 506)(96, 418)(97, 512)(98, 511)(99, 515)(100, 419)(101, 517)(102, 420)(103, 449)(104, 521)(105, 522)(106, 424)(107, 525)(108, 524)(109, 528)(110, 425)(111, 530)(112, 426)(113, 533)(114, 428)(115, 432)(116, 431)(117, 538)(118, 537)(119, 540)(120, 433)(121, 437)(122, 436)(123, 546)(124, 544)(125, 549)(126, 550)(127, 438)(128, 442)(129, 554)(130, 504)(131, 556)(132, 441)(133, 444)(134, 561)(135, 560)(136, 446)(137, 565)(138, 564)(139, 447)(140, 568)(141, 448)(142, 451)(143, 572)(144, 571)(145, 574)(146, 452)(147, 576)(148, 453)(149, 579)(150, 457)(151, 582)(152, 581)(153, 585)(154, 458)(155, 587)(156, 459)(157, 589)(158, 461)(159, 465)(160, 464)(161, 594)(162, 593)(163, 596)(164, 466)(165, 470)(166, 600)(167, 535)(168, 602)(169, 469)(170, 472)(171, 606)(172, 605)(173, 474)(174, 610)(175, 609)(176, 612)(177, 475)(178, 476)(179, 615)(180, 480)(181, 597)(182, 616)(183, 618)(184, 481)(185, 620)(186, 482)(187, 623)(188, 485)(189, 624)(190, 590)(191, 486)(192, 490)(193, 489)(194, 629)(195, 631)(196, 492)(197, 634)(198, 633)(199, 494)(200, 638)(201, 637)(202, 495)(203, 608)(204, 496)(205, 499)(206, 643)(207, 542)(208, 501)(209, 645)(210, 503)(211, 552)(212, 580)(213, 555)(214, 650)(215, 505)(216, 653)(217, 507)(218, 509)(219, 657)(220, 570)(221, 510)(222, 514)(223, 648)(224, 591)(225, 660)(226, 513)(227, 516)(228, 661)(229, 518)(230, 551)(231, 627)(232, 664)(233, 519)(234, 520)(235, 666)(236, 541)(237, 523)(238, 527)(239, 526)(240, 667)(241, 669)(242, 529)(243, 670)(244, 531)(245, 672)(246, 628)(247, 532)(248, 534)(249, 598)(250, 563)(251, 601)(252, 654)(253, 536)(254, 539)(255, 678)(256, 641)(257, 644)(258, 674)(259, 543)(260, 651)(261, 545)(262, 547)(263, 682)(264, 548)(265, 684)(266, 592)(267, 647)(268, 604)(269, 553)(270, 686)(271, 649)(272, 557)(273, 690)(274, 689)(275, 558)(276, 642)(277, 559)(278, 562)(279, 694)(280, 626)(281, 567)(282, 566)(283, 636)(284, 695)(285, 696)(286, 569)(287, 584)(288, 655)(289, 573)(290, 575)(291, 621)(292, 681)(293, 577)(294, 613)(295, 658)(296, 700)(297, 578)(298, 583)(299, 701)(300, 586)(301, 702)(302, 588)(303, 659)(304, 640)(305, 595)(306, 706)(307, 599)(308, 707)(309, 675)(310, 708)(311, 603)(312, 607)(313, 630)(314, 619)(315, 611)(316, 656)(317, 712)(318, 614)(319, 617)(320, 705)(321, 714)(322, 622)(323, 625)(324, 716)(325, 677)(326, 710)(327, 717)(328, 693)(329, 632)(330, 635)(331, 676)(332, 652)(333, 639)(334, 688)(335, 679)(336, 646)(337, 698)(338, 715)(339, 687)(340, 691)(341, 704)(342, 662)(343, 668)(344, 663)(345, 720)(346, 665)(347, 719)(348, 671)(349, 685)(350, 673)(351, 699)(352, 709)(353, 680)(354, 692)(355, 718)(356, 683)(357, 711)(358, 697)(359, 703)(360, 713)
	local type(s) :: { ( 2, 4, 2, 4, 2, 4, 2, 4, 2, 4 ) }
Outer automorphisms :: reflexible
Dual of E10.967
Transitivity :: ET+ VT+ AT
Graph::
	v = 72 e = 360 f = 270
	degree seq :: [ 10^72 ]

E10.972 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 4, 5})
Quotient :: loop
Aut^+ = A6 (small group id <360, 118>)
Aut   = A6 : C2 (small group id <720, 764>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T1^5, (T2 * T1^-1)^4, (T2 * T1^2)^5, (T2 * T1 * T2 * T1^-1)^4 ]
Map:: polyhedral non-degenerate
	R = (1, 361, 3, 363)(2, 362, 6, 366)(4, 364, 9, 369)(5, 365, 11, 371)(7, 367, 15, 375)(8, 368, 16, 376)(10, 370, 20, 380)(12, 372, 24, 384)(13, 373, 25, 385)(14, 374, 27, 387)(17, 377, 31, 391)(18, 378, 33, 393)(19, 379, 28, 388)(21, 381, 38, 398)(22, 382, 39, 399)(23, 383, 41, 401)(26, 386, 44, 404)(29, 389, 48, 408)(30, 390, 51, 411)(32, 392, 54, 414)(34, 394, 57, 417)(35, 395, 59, 419)(36, 396, 55, 415)(37, 397, 61, 421)(40, 400, 64, 424)(42, 402, 67, 427)(43, 403, 69, 429)(45, 405, 73, 433)(46, 406, 74, 434)(47, 407, 76, 436)(49, 409, 78, 438)(50, 410, 79, 439)(52, 412, 83, 443)(53, 413, 80, 440)(56, 416, 88, 448)(58, 418, 92, 452)(60, 420, 94, 454)(62, 422, 97, 457)(63, 423, 99, 459)(65, 425, 103, 463)(66, 426, 104, 464)(68, 428, 107, 467)(70, 430, 111, 471)(71, 431, 108, 468)(72, 432, 113, 473)(75, 435, 116, 476)(77, 437, 120, 480)(81, 441, 126, 486)(82, 442, 128, 488)(84, 444, 130, 490)(85, 445, 132, 492)(86, 446, 133, 493)(87, 447, 135, 495)(89, 449, 137, 497)(90, 450, 139, 499)(91, 451, 117, 477)(93, 453, 143, 503)(95, 455, 146, 506)(96, 456, 147, 507)(98, 458, 150, 510)(100, 460, 154, 514)(101, 461, 151, 511)(102, 462, 140, 500)(105, 465, 158, 518)(106, 466, 160, 520)(109, 469, 164, 524)(110, 470, 166, 526)(112, 472, 168, 528)(114, 474, 170, 530)(115, 475, 172, 532)(118, 478, 176, 536)(119, 479, 178, 538)(121, 481, 181, 541)(122, 482, 179, 539)(123, 483, 184, 544)(124, 484, 185, 545)(125, 485, 187, 547)(127, 487, 189, 549)(129, 489, 192, 552)(131, 491, 155, 515)(134, 494, 195, 555)(136, 496, 188, 548)(138, 498, 201, 561)(141, 501, 203, 563)(142, 502, 204, 564)(144, 504, 207, 567)(145, 505, 196, 556)(148, 508, 209, 569)(149, 509, 211, 571)(152, 512, 215, 575)(153, 513, 217, 577)(156, 516, 175, 535)(157, 517, 220, 580)(159, 519, 223, 583)(161, 521, 225, 585)(162, 522, 226, 586)(163, 523, 228, 588)(165, 525, 229, 589)(167, 527, 232, 592)(169, 529, 233, 593)(171, 531, 235, 595)(173, 533, 239, 599)(174, 534, 236, 596)(177, 537, 242, 602)(180, 540, 245, 605)(182, 542, 247, 607)(183, 543, 240, 600)(186, 546, 250, 610)(190, 550, 254, 614)(191, 551, 255, 615)(193, 553, 214, 574)(194, 554, 258, 618)(197, 557, 261, 621)(198, 558, 253, 613)(199, 559, 263, 623)(200, 560, 251, 611)(202, 562, 237, 597)(205, 565, 268, 628)(206, 566, 241, 601)(208, 568, 272, 632)(210, 570, 274, 634)(212, 572, 276, 636)(213, 573, 277, 637)(216, 576, 279, 639)(218, 578, 282, 642)(219, 579, 283, 643)(221, 581, 266, 626)(222, 582, 284, 644)(224, 584, 286, 646)(227, 587, 289, 649)(230, 590, 291, 651)(231, 591, 292, 652)(234, 594, 295, 655)(238, 598, 299, 659)(243, 603, 303, 663)(244, 604, 305, 665)(246, 606, 307, 667)(248, 608, 297, 657)(249, 609, 308, 668)(252, 612, 310, 670)(256, 616, 313, 673)(257, 617, 296, 656)(259, 619, 281, 641)(260, 620, 314, 674)(262, 622, 316, 676)(264, 624, 317, 677)(265, 625, 298, 658)(267, 627, 320, 680)(269, 629, 302, 662)(270, 630, 315, 675)(271, 631, 322, 682)(273, 633, 323, 683)(275, 635, 324, 684)(278, 638, 325, 685)(280, 640, 327, 687)(285, 645, 329, 689)(287, 647, 301, 661)(288, 648, 331, 691)(290, 650, 332, 692)(293, 653, 334, 694)(294, 654, 335, 695)(300, 660, 338, 698)(304, 664, 341, 701)(306, 666, 342, 702)(309, 669, 343, 703)(311, 671, 326, 686)(312, 672, 344, 704)(318, 678, 346, 706)(319, 679, 336, 696)(321, 681, 347, 707)(328, 688, 348, 708)(330, 690, 350, 710)(333, 693, 351, 711)(337, 697, 353, 713)(339, 699, 354, 714)(340, 700, 355, 715)(345, 705, 357, 717)(349, 709, 358, 718)(352, 712, 360, 720)(356, 716, 359, 719)
	L = (1, 362)(2, 365)(3, 367)(4, 361)(5, 370)(6, 372)(7, 374)(8, 363)(9, 378)(10, 364)(11, 381)(12, 383)(13, 366)(14, 377)(15, 388)(16, 390)(17, 368)(18, 392)(19, 369)(20, 395)(21, 397)(22, 371)(23, 386)(24, 376)(25, 403)(26, 373)(27, 405)(28, 407)(29, 375)(30, 410)(31, 412)(32, 394)(33, 415)(34, 379)(35, 418)(36, 380)(37, 400)(38, 385)(39, 423)(40, 382)(41, 425)(42, 384)(43, 428)(44, 430)(45, 432)(46, 387)(47, 409)(48, 437)(49, 389)(50, 402)(51, 440)(52, 442)(53, 391)(54, 445)(55, 447)(56, 393)(57, 450)(58, 420)(59, 399)(60, 396)(61, 455)(62, 398)(63, 458)(64, 460)(65, 462)(66, 401)(67, 466)(68, 422)(69, 468)(70, 470)(71, 404)(72, 435)(73, 408)(74, 475)(75, 406)(76, 477)(77, 479)(78, 481)(79, 483)(80, 485)(81, 411)(82, 444)(83, 434)(84, 413)(85, 491)(86, 414)(87, 449)(88, 496)(89, 416)(90, 498)(91, 417)(92, 501)(93, 419)(94, 504)(95, 490)(96, 421)(97, 509)(98, 453)(99, 511)(100, 513)(101, 424)(102, 465)(103, 427)(104, 517)(105, 426)(106, 519)(107, 521)(108, 523)(109, 429)(110, 472)(111, 464)(112, 431)(113, 505)(114, 433)(115, 531)(116, 533)(117, 535)(118, 436)(119, 474)(120, 539)(121, 540)(122, 438)(123, 543)(124, 439)(125, 487)(126, 548)(127, 441)(128, 550)(129, 443)(130, 508)(131, 494)(132, 448)(133, 554)(134, 446)(135, 556)(136, 558)(137, 559)(138, 500)(139, 493)(140, 451)(141, 528)(142, 452)(143, 566)(144, 529)(145, 454)(146, 457)(147, 568)(148, 456)(149, 570)(150, 572)(151, 574)(152, 459)(153, 515)(154, 507)(155, 461)(156, 463)(157, 579)(158, 581)(159, 516)(160, 545)(161, 584)(162, 467)(163, 525)(164, 480)(165, 469)(166, 590)(167, 471)(168, 565)(169, 473)(170, 594)(171, 489)(172, 596)(173, 598)(174, 476)(175, 537)(176, 601)(177, 478)(178, 589)(179, 604)(180, 542)(181, 536)(182, 482)(183, 546)(184, 486)(185, 609)(186, 484)(187, 506)(188, 611)(189, 612)(190, 607)(191, 488)(192, 580)(193, 492)(194, 617)(195, 619)(196, 530)(197, 495)(198, 553)(199, 622)(200, 497)(201, 625)(202, 499)(203, 503)(204, 627)(205, 502)(206, 629)(207, 564)(208, 631)(209, 615)(210, 547)(211, 586)(212, 635)(213, 510)(214, 576)(215, 520)(216, 512)(217, 640)(218, 514)(219, 527)(220, 644)(221, 645)(222, 518)(223, 639)(224, 587)(225, 524)(226, 648)(227, 522)(228, 563)(229, 650)(230, 610)(231, 526)(232, 632)(233, 654)(234, 557)(235, 656)(236, 657)(237, 532)(238, 600)(239, 593)(240, 534)(241, 637)(242, 661)(243, 538)(244, 585)(245, 620)(246, 541)(247, 616)(248, 544)(249, 636)(250, 653)(251, 608)(252, 669)(253, 549)(254, 552)(255, 672)(256, 551)(257, 562)(258, 674)(259, 666)(260, 555)(261, 571)(262, 624)(263, 621)(264, 560)(265, 677)(266, 561)(267, 679)(268, 652)(269, 588)(270, 567)(271, 578)(272, 683)(273, 569)(274, 655)(275, 638)(276, 575)(277, 606)(278, 573)(279, 686)(280, 649)(281, 577)(282, 680)(283, 595)(284, 665)(285, 646)(286, 582)(287, 583)(288, 623)(289, 688)(290, 664)(291, 592)(292, 693)(293, 591)(294, 685)(295, 663)(296, 696)(297, 658)(298, 597)(299, 697)(300, 599)(301, 699)(302, 602)(303, 700)(304, 603)(305, 614)(306, 605)(307, 695)(308, 651)(309, 671)(310, 634)(311, 613)(312, 684)(313, 702)(314, 667)(315, 618)(316, 681)(317, 678)(318, 626)(319, 630)(320, 707)(321, 628)(322, 643)(323, 668)(324, 633)(325, 660)(326, 690)(327, 642)(328, 641)(329, 709)(330, 647)(331, 687)(332, 662)(333, 676)(334, 659)(335, 675)(336, 682)(337, 701)(338, 704)(339, 692)(340, 670)(341, 712)(342, 716)(343, 705)(344, 717)(345, 673)(346, 711)(347, 691)(348, 689)(349, 710)(350, 719)(351, 720)(352, 694)(353, 698)(354, 718)(355, 713)(356, 703)(357, 715)(358, 706)(359, 708)(360, 714)
	local type(s) :: { ( 4, 5, 4, 5 ) }
Outer automorphisms :: reflexible
Dual of E10.968
Transitivity :: ET+ VT+ AT
Graph:: simple
	v = 180 e = 360 f = 162
	degree seq :: [ 4^180 ]

E10.973 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 5})
Quotient :: dipole
Aut^+ = A6 (small group id <360, 118>)
Aut   = A6 : C2 (small group id <720, 764>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, (R * Y3)^2, (R * Y1)^2, Y2^4, (R * Y2 * Y3^-1)^2, (Y3 * Y2^-1)^5, (Y2 * Y1)^5, Y2 * Y1 * Y2^-2 * Y1 * Y2^-2 * Y1 * Y2^-2 * Y1 * Y2^-2 * Y1 * Y2, (Y1 * Y2^-1 * Y1 * Y2)^4 ]
Map::
	R = (1, 361, 2, 362)(3, 363, 7, 367)(4, 364, 9, 369)(5, 365, 10, 370)(6, 366, 12, 372)(8, 368, 15, 375)(11, 371, 20, 380)(13, 373, 23, 383)(14, 374, 25, 385)(16, 376, 28, 388)(17, 377, 30, 390)(18, 378, 31, 391)(19, 379, 33, 393)(21, 381, 36, 396)(22, 382, 38, 398)(24, 384, 40, 400)(26, 386, 43, 403)(27, 387, 45, 405)(29, 389, 48, 408)(32, 392, 51, 411)(34, 394, 54, 414)(35, 395, 56, 416)(37, 397, 59, 419)(39, 399, 61, 421)(41, 401, 64, 424)(42, 402, 66, 426)(44, 404, 68, 428)(46, 406, 70, 430)(47, 407, 72, 432)(49, 409, 75, 435)(50, 410, 76, 436)(52, 412, 79, 439)(53, 413, 81, 441)(55, 415, 83, 443)(57, 417, 85, 445)(58, 418, 87, 447)(60, 420, 90, 450)(62, 422, 93, 453)(63, 423, 95, 455)(65, 425, 98, 458)(67, 427, 100, 460)(69, 429, 103, 463)(71, 431, 105, 465)(73, 433, 108, 468)(74, 434, 110, 470)(77, 437, 115, 475)(78, 438, 117, 477)(80, 440, 120, 480)(82, 442, 122, 482)(84, 444, 123, 483)(86, 446, 125, 485)(88, 448, 128, 488)(89, 449, 130, 490)(91, 451, 133, 493)(92, 452, 135, 495)(94, 454, 109, 469)(96, 456, 138, 498)(97, 457, 119, 479)(99, 459, 142, 502)(101, 461, 145, 505)(102, 462, 146, 506)(104, 464, 149, 509)(106, 466, 126, 486)(107, 467, 153, 513)(111, 471, 156, 516)(112, 472, 158, 518)(113, 473, 159, 519)(114, 474, 161, 521)(116, 476, 129, 489)(118, 478, 164, 524)(121, 481, 168, 528)(124, 484, 173, 533)(127, 487, 177, 537)(131, 491, 180, 540)(132, 492, 182, 542)(134, 494, 185, 545)(136, 496, 187, 547)(137, 497, 188, 548)(139, 499, 190, 550)(140, 500, 191, 551)(141, 501, 193, 553)(143, 503, 196, 556)(144, 504, 198, 558)(147, 507, 201, 561)(148, 508, 184, 544)(150, 510, 205, 565)(151, 511, 207, 567)(152, 512, 208, 568)(154, 514, 210, 570)(155, 515, 211, 571)(157, 517, 213, 573)(160, 520, 206, 566)(162, 522, 218, 578)(163, 523, 219, 579)(165, 525, 221, 581)(166, 526, 222, 582)(167, 527, 223, 583)(169, 529, 226, 586)(170, 530, 200, 560)(171, 531, 199, 559)(172, 532, 216, 576)(174, 534, 231, 591)(175, 535, 232, 592)(176, 536, 233, 593)(178, 538, 235, 595)(179, 539, 236, 596)(181, 541, 192, 552)(183, 543, 238, 598)(186, 546, 240, 600)(189, 549, 242, 602)(194, 554, 246, 606)(195, 555, 248, 608)(197, 557, 250, 610)(202, 562, 253, 613)(203, 563, 254, 614)(204, 564, 256, 616)(209, 569, 260, 620)(212, 572, 262, 622)(214, 574, 215, 575)(217, 577, 264, 624)(220, 580, 266, 626)(224, 584, 269, 629)(225, 585, 271, 631)(227, 587, 244, 604)(228, 588, 258, 618)(229, 589, 273, 633)(230, 590, 275, 635)(234, 594, 278, 638)(237, 597, 280, 640)(239, 599, 281, 641)(241, 601, 284, 644)(243, 603, 287, 647)(245, 605, 288, 648)(247, 607, 255, 615)(249, 609, 290, 650)(251, 611, 291, 651)(252, 612, 292, 652)(257, 617, 295, 655)(259, 619, 296, 656)(261, 621, 293, 653)(263, 623, 301, 661)(265, 625, 303, 663)(267, 627, 306, 666)(268, 628, 300, 660)(270, 630, 274, 634)(272, 632, 308, 668)(276, 636, 282, 642)(277, 637, 311, 671)(279, 639, 309, 669)(283, 643, 317, 677)(285, 645, 313, 673)(286, 646, 320, 680)(289, 649, 323, 683)(294, 654, 328, 688)(297, 657, 331, 691)(298, 658, 304, 664)(299, 659, 333, 693)(302, 662, 336, 696)(305, 665, 339, 699)(307, 667, 341, 701)(310, 670, 342, 702)(312, 672, 344, 704)(314, 674, 346, 706)(315, 675, 347, 707)(316, 676, 319, 679)(318, 678, 348, 708)(321, 681, 324, 684)(322, 682, 345, 705)(325, 685, 343, 703)(326, 686, 340, 700)(327, 687, 330, 690)(329, 689, 338, 698)(332, 692, 334, 694)(335, 695, 355, 715)(337, 697, 356, 716)(349, 709, 359, 719)(350, 710, 360, 720)(351, 711, 352, 712)(353, 713, 357, 717)(354, 714, 358, 718)(721, 1081, 723, 1083, 728, 1088, 724, 1084)(722, 1082, 725, 1085, 731, 1091, 726, 1086)(727, 1087, 733, 1093, 744, 1104, 734, 1094)(729, 1089, 736, 1096, 749, 1109, 737, 1097)(730, 1090, 738, 1098, 752, 1112, 739, 1099)(732, 1092, 741, 1101, 757, 1117, 742, 1102)(735, 1095, 746, 1106, 764, 1124, 747, 1107)(740, 1100, 754, 1114, 775, 1135, 755, 1115)(743, 1103, 758, 1118, 780, 1140, 759, 1119)(745, 1105, 761, 1121, 785, 1145, 762, 1122)(748, 1108, 766, 1126, 791, 1151, 767, 1127)(750, 1110, 769, 1129, 770, 1130, 751, 1111)(753, 1113, 772, 1132, 800, 1160, 773, 1133)(756, 1116, 777, 1137, 806, 1166, 778, 1138)(760, 1120, 782, 1142, 814, 1174, 783, 1143)(763, 1123, 786, 1146, 819, 1179, 787, 1147)(765, 1125, 789, 1149, 824, 1184, 790, 1150)(768, 1128, 793, 1153, 829, 1189, 794, 1154)(771, 1131, 797, 1157, 836, 1196, 798, 1158)(774, 1134, 801, 1161, 841, 1201, 802, 1162)(776, 1136, 804, 1164, 844, 1204, 805, 1165)(779, 1139, 808, 1168, 849, 1209, 809, 1169)(781, 1141, 811, 1171, 854, 1214, 812, 1172)(784, 1144, 816, 1176, 859, 1219, 817, 1177)(788, 1148, 821, 1181, 803, 1163, 822, 1182)(792, 1152, 826, 1186, 872, 1232, 827, 1187)(795, 1155, 831, 1191, 877, 1237, 832, 1192)(796, 1156, 833, 1193, 880, 1240, 834, 1194)(799, 1159, 838, 1198, 885, 1245, 839, 1199)(807, 1167, 846, 1206, 896, 1256, 847, 1207)(810, 1170, 851, 1211, 901, 1261, 852, 1212)(813, 1173, 855, 1215, 906, 1266, 856, 1216)(815, 1175, 857, 1217, 909, 1269, 858, 1218)(818, 1178, 860, 1220, 912, 1272, 861, 1221)(820, 1180, 863, 1223, 917, 1277, 864, 1224)(823, 1183, 867, 1227, 922, 1282, 868, 1228)(825, 1185, 870, 1230, 926, 1286, 871, 1231)(828, 1188, 873, 1233, 929, 1289, 874, 1234)(830, 1190, 875, 1235, 932, 1292, 876, 1236)(835, 1195, 881, 1241, 937, 1297, 882, 1242)(837, 1197, 883, 1243, 940, 1300, 884, 1244)(840, 1200, 886, 1246, 933, 1293, 887, 1247)(842, 1202, 889, 1249, 947, 1307, 890, 1250)(843, 1203, 891, 1251, 948, 1308, 892, 1252)(845, 1205, 894, 1254, 905, 1265, 895, 1255)(848, 1208, 897, 1257, 954, 1314, 898, 1258)(850, 1210, 899, 1259, 957, 1317, 900, 1260)(853, 1213, 903, 1263, 959, 1319, 904, 1264)(862, 1222, 914, 1274, 967, 1327, 915, 1275)(865, 1225, 918, 1278, 971, 1331, 919, 1279)(866, 1226, 920, 1280, 972, 1332, 921, 1281)(869, 1229, 923, 1283, 975, 1335, 924, 1284)(878, 1238, 916, 1276, 969, 1329, 934, 1294)(879, 1239, 935, 1295, 983, 1343, 936, 1296)(888, 1248, 944, 1304, 990, 1350, 945, 1305)(893, 1253, 949, 1309, 994, 1354, 950, 1310)(902, 1262, 946, 1306, 992, 1352, 958, 1318)(907, 1267, 961, 1321, 981, 1341, 931, 1291)(908, 1268, 930, 1290, 939, 1299, 955, 1315)(910, 1270, 963, 1323, 970, 1330, 942, 1302)(911, 1271, 941, 1301, 987, 1347, 964, 1324)(913, 1273, 965, 1325, 1009, 1369, 966, 1326)(925, 1285, 976, 1336, 1014, 1374, 977, 1337)(927, 1287, 978, 1338, 997, 1357, 953, 1313)(928, 1288, 952, 1312, 973, 1333, 979, 1339)(938, 1298, 985, 1345, 999, 1359, 956, 1316)(943, 1303, 988, 1348, 1027, 1387, 989, 1349)(951, 1311, 995, 1355, 1030, 1390, 996, 1356)(960, 1320, 1002, 1362, 1036, 1396, 1003, 1363)(962, 1322, 1005, 1365, 1039, 1399, 1006, 1366)(968, 1328, 1004, 1364, 1038, 1398, 1010, 1370)(974, 1334, 1001, 1361, 1035, 1395, 1013, 1373)(980, 1340, 1017, 1377, 1052, 1412, 1018, 1378)(982, 1342, 1019, 1379, 1054, 1414, 1020, 1380)(984, 1344, 1015, 1375, 1049, 1409, 1022, 1382)(986, 1346, 1024, 1384, 1058, 1418, 1025, 1385)(991, 1351, 1023, 1383, 1057, 1417, 1028, 1388)(993, 1353, 1021, 1381, 1055, 1415, 1029, 1389)(998, 1358, 1032, 1392, 1065, 1425, 1033, 1393)(1000, 1360, 1034, 1394, 1042, 1402, 1008, 1368)(1007, 1367, 1040, 1400, 1069, 1429, 1041, 1401)(1011, 1371, 1044, 1404, 1071, 1431, 1045, 1405)(1012, 1372, 1046, 1406, 1072, 1432, 1047, 1407)(1016, 1376, 1050, 1410, 1074, 1434, 1051, 1411)(1026, 1386, 1059, 1419, 1077, 1437, 1060, 1420)(1031, 1391, 1063, 1423, 1080, 1440, 1064, 1424)(1037, 1397, 1066, 1426, 1075, 1435, 1068, 1428)(1043, 1403, 1070, 1430, 1073, 1433, 1048, 1408)(1053, 1413, 1067, 1427, 1076, 1436, 1056, 1416)(1061, 1421, 1078, 1438, 1079, 1439, 1062, 1422)
	L = (1, 722)(2, 721)(3, 727)(4, 729)(5, 730)(6, 732)(7, 723)(8, 735)(9, 724)(10, 725)(11, 740)(12, 726)(13, 743)(14, 745)(15, 728)(16, 748)(17, 750)(18, 751)(19, 753)(20, 731)(21, 756)(22, 758)(23, 733)(24, 760)(25, 734)(26, 763)(27, 765)(28, 736)(29, 768)(30, 737)(31, 738)(32, 771)(33, 739)(34, 774)(35, 776)(36, 741)(37, 779)(38, 742)(39, 781)(40, 744)(41, 784)(42, 786)(43, 746)(44, 788)(45, 747)(46, 790)(47, 792)(48, 749)(49, 795)(50, 796)(51, 752)(52, 799)(53, 801)(54, 754)(55, 803)(56, 755)(57, 805)(58, 807)(59, 757)(60, 810)(61, 759)(62, 813)(63, 815)(64, 761)(65, 818)(66, 762)(67, 820)(68, 764)(69, 823)(70, 766)(71, 825)(72, 767)(73, 828)(74, 830)(75, 769)(76, 770)(77, 835)(78, 837)(79, 772)(80, 840)(81, 773)(82, 842)(83, 775)(84, 843)(85, 777)(86, 845)(87, 778)(88, 848)(89, 850)(90, 780)(91, 853)(92, 855)(93, 782)(94, 829)(95, 783)(96, 858)(97, 839)(98, 785)(99, 862)(100, 787)(101, 865)(102, 866)(103, 789)(104, 869)(105, 791)(106, 846)(107, 873)(108, 793)(109, 814)(110, 794)(111, 876)(112, 878)(113, 879)(114, 881)(115, 797)(116, 849)(117, 798)(118, 884)(119, 817)(120, 800)(121, 888)(122, 802)(123, 804)(124, 893)(125, 806)(126, 826)(127, 897)(128, 808)(129, 836)(130, 809)(131, 900)(132, 902)(133, 811)(134, 905)(135, 812)(136, 907)(137, 908)(138, 816)(139, 910)(140, 911)(141, 913)(142, 819)(143, 916)(144, 918)(145, 821)(146, 822)(147, 921)(148, 904)(149, 824)(150, 925)(151, 927)(152, 928)(153, 827)(154, 930)(155, 931)(156, 831)(157, 933)(158, 832)(159, 833)(160, 926)(161, 834)(162, 938)(163, 939)(164, 838)(165, 941)(166, 942)(167, 943)(168, 841)(169, 946)(170, 920)(171, 919)(172, 936)(173, 844)(174, 951)(175, 952)(176, 953)(177, 847)(178, 955)(179, 956)(180, 851)(181, 912)(182, 852)(183, 958)(184, 868)(185, 854)(186, 960)(187, 856)(188, 857)(189, 962)(190, 859)(191, 860)(192, 901)(193, 861)(194, 966)(195, 968)(196, 863)(197, 970)(198, 864)(199, 891)(200, 890)(201, 867)(202, 973)(203, 974)(204, 976)(205, 870)(206, 880)(207, 871)(208, 872)(209, 980)(210, 874)(211, 875)(212, 982)(213, 877)(214, 935)(215, 934)(216, 892)(217, 984)(218, 882)(219, 883)(220, 986)(221, 885)(222, 886)(223, 887)(224, 989)(225, 991)(226, 889)(227, 964)(228, 978)(229, 993)(230, 995)(231, 894)(232, 895)(233, 896)(234, 998)(235, 898)(236, 899)(237, 1000)(238, 903)(239, 1001)(240, 906)(241, 1004)(242, 909)(243, 1007)(244, 947)(245, 1008)(246, 914)(247, 975)(248, 915)(249, 1010)(250, 917)(251, 1011)(252, 1012)(253, 922)(254, 923)(255, 967)(256, 924)(257, 1015)(258, 948)(259, 1016)(260, 929)(261, 1013)(262, 932)(263, 1021)(264, 937)(265, 1023)(266, 940)(267, 1026)(268, 1020)(269, 944)(270, 994)(271, 945)(272, 1028)(273, 949)(274, 990)(275, 950)(276, 1002)(277, 1031)(278, 954)(279, 1029)(280, 957)(281, 959)(282, 996)(283, 1037)(284, 961)(285, 1033)(286, 1040)(287, 963)(288, 965)(289, 1043)(290, 969)(291, 971)(292, 972)(293, 981)(294, 1048)(295, 977)(296, 979)(297, 1051)(298, 1024)(299, 1053)(300, 988)(301, 983)(302, 1056)(303, 985)(304, 1018)(305, 1059)(306, 987)(307, 1061)(308, 992)(309, 999)(310, 1062)(311, 997)(312, 1064)(313, 1005)(314, 1066)(315, 1067)(316, 1039)(317, 1003)(318, 1068)(319, 1036)(320, 1006)(321, 1044)(322, 1065)(323, 1009)(324, 1041)(325, 1063)(326, 1060)(327, 1050)(328, 1014)(329, 1058)(330, 1047)(331, 1017)(332, 1054)(333, 1019)(334, 1052)(335, 1075)(336, 1022)(337, 1076)(338, 1049)(339, 1025)(340, 1046)(341, 1027)(342, 1030)(343, 1045)(344, 1032)(345, 1042)(346, 1034)(347, 1035)(348, 1038)(349, 1079)(350, 1080)(351, 1072)(352, 1071)(353, 1077)(354, 1078)(355, 1055)(356, 1057)(357, 1073)(358, 1074)(359, 1069)(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) :: { ( 2, 10, 2, 10 ), ( 2, 10, 2, 10, 2, 10, 2, 10 ) }
Outer automorphisms :: reflexible
Dual of E10.976
Graph:: bipartite
	v = 270 e = 720 f = 432
	degree seq :: [ 4^180, 8^90 ]

E10.974 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 5})
Quotient :: dipole
Aut^+ = A6 (small group id <360, 118>)
Aut   = A6 : C2 (small group id <720, 764>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, Y1^4, (R * Y1)^2, (R * Y3)^2, (Y2^-1 * Y1^-1)^2, (Y3^-1 * Y1^-1)^2, Y2^5, (Y1 * Y2^-1)^5, Y1^-1 * Y2^-1 * Y1 * Y2^2 * Y1^2 * Y2 * Y1^-1 * Y2^-2 * Y1^-2 * Y2^-2 * Y1^-1 ]
Map::
	R = (1, 361, 2, 362, 6, 366, 4, 364)(3, 363, 9, 369, 21, 381, 11, 371)(5, 365, 13, 373, 18, 378, 7, 367)(8, 368, 19, 379, 32, 392, 15, 375)(10, 370, 23, 383, 44, 404, 24, 384)(12, 372, 16, 376, 33, 393, 27, 387)(14, 374, 30, 390, 53, 413, 28, 388)(17, 377, 35, 395, 63, 423, 36, 396)(20, 380, 40, 400, 69, 429, 38, 398)(22, 382, 43, 403, 74, 434, 41, 401)(25, 385, 42, 402, 75, 435, 48, 408)(26, 386, 49, 409, 85, 445, 50, 410)(29, 389, 54, 414, 67, 427, 37, 397)(31, 391, 57, 417, 96, 456, 58, 418)(34, 394, 62, 422, 102, 462, 60, 420)(39, 399, 70, 430, 100, 460, 59, 419)(45, 405, 80, 440, 127, 487, 78, 438)(46, 406, 79, 439, 128, 488, 82, 442)(47, 407, 83, 443, 133, 493, 84, 444)(51, 411, 61, 421, 103, 463, 89, 449)(52, 412, 90, 450, 142, 502, 91, 451)(55, 415, 94, 454, 148, 508, 93, 453)(56, 416, 95, 455, 146, 506, 92, 452)(64, 424, 108, 468, 164, 524, 106, 466)(65, 425, 107, 467, 165, 525, 110, 470)(66, 426, 111, 471, 170, 530, 112, 472)(68, 428, 113, 473, 173, 533, 114, 474)(71, 431, 117, 477, 178, 538, 116, 476)(72, 432, 118, 478, 177, 537, 115, 475)(73, 433, 119, 479, 180, 540, 120, 480)(76, 436, 123, 483, 186, 546, 122, 482)(77, 437, 124, 484, 184, 544, 121, 481)(81, 441, 131, 491, 196, 556, 132, 492)(86, 446, 138, 498, 204, 564, 136, 496)(87, 447, 137, 497, 205, 565, 139, 499)(88, 448, 140, 500, 208, 568, 141, 501)(97, 457, 152, 512, 221, 581, 150, 510)(98, 458, 151, 511, 222, 582, 154, 514)(99, 459, 155, 515, 227, 587, 156, 516)(101, 461, 157, 517, 229, 589, 158, 518)(104, 464, 161, 521, 234, 594, 160, 520)(105, 465, 162, 522, 233, 593, 159, 519)(109, 469, 168, 528, 242, 602, 169, 529)(125, 485, 189, 549, 264, 624, 188, 548)(126, 486, 190, 550, 230, 590, 191, 551)(129, 489, 194, 554, 269, 629, 193, 553)(130, 490, 144, 504, 211, 571, 192, 552)(134, 494, 201, 561, 277, 637, 199, 559)(135, 495, 200, 560, 278, 638, 202, 562)(143, 503, 212, 572, 220, 580, 210, 570)(145, 505, 214, 574, 290, 650, 215, 575)(147, 507, 216, 576, 293, 653, 217, 577)(149, 509, 219, 579, 297, 657, 218, 578)(153, 513, 225, 585, 300, 660, 226, 586)(163, 523, 236, 596, 181, 541, 237, 597)(166, 526, 240, 600, 307, 667, 239, 599)(167, 527, 175, 535, 249, 609, 238, 598)(171, 531, 246, 606, 268, 628, 244, 604)(172, 532, 245, 605, 312, 672, 247, 607)(174, 534, 250, 610, 203, 563, 248, 608)(176, 536, 252, 612, 294, 654, 253, 613)(179, 539, 255, 615, 318, 678, 254, 614)(182, 542, 256, 616, 281, 641, 207, 567)(183, 543, 258, 618, 314, 674, 259, 619)(185, 545, 260, 620, 291, 651, 261, 621)(187, 547, 263, 623, 322, 682, 262, 622)(195, 555, 271, 631, 289, 649, 213, 573)(197, 557, 274, 634, 329, 689, 272, 632)(198, 558, 273, 633, 330, 690, 275, 635)(206, 566, 283, 643, 276, 636, 282, 642)(209, 569, 285, 645, 336, 696, 286, 646)(223, 583, 288, 648, 295, 655, 298, 658)(224, 584, 231, 591, 267, 627, 287, 647)(228, 588, 301, 661, 342, 702, 302, 662)(232, 592, 304, 664, 280, 640, 266, 626)(235, 595, 306, 666, 346, 706, 305, 665)(241, 601, 309, 669, 315, 675, 251, 611)(243, 603, 310, 670, 348, 708, 311, 671)(257, 617, 284, 644, 335, 695, 319, 679)(265, 625, 324, 684, 356, 716, 323, 683)(270, 630, 326, 686, 350, 710, 313, 673)(279, 639, 334, 694, 328, 688, 333, 693)(292, 652, 321, 681, 354, 714, 332, 692)(296, 656, 340, 700, 331, 691, 316, 676)(299, 659, 341, 701, 344, 704, 303, 663)(308, 668, 347, 707, 359, 719, 343, 703)(317, 677, 352, 712, 349, 709, 325, 685)(320, 680, 345, 705, 360, 720, 353, 713)(327, 687, 357, 717, 351, 711, 339, 699)(337, 697, 338, 698, 355, 715, 358, 718)(721, 1081, 723, 1083, 730, 1090, 734, 1094, 725, 1085)(722, 1082, 727, 1087, 737, 1097, 740, 1100, 728, 1088)(724, 1084, 732, 1092, 746, 1106, 742, 1102, 729, 1089)(726, 1086, 735, 1095, 751, 1111, 754, 1114, 736, 1096)(731, 1091, 745, 1105, 767, 1127, 765, 1125, 743, 1103)(733, 1093, 748, 1108, 772, 1132, 775, 1135, 749, 1109)(738, 1098, 757, 1117, 786, 1146, 784, 1144, 755, 1115)(739, 1099, 758, 1118, 788, 1148, 791, 1151, 759, 1119)(741, 1101, 761, 1121, 793, 1153, 796, 1156, 762, 1122)(744, 1104, 766, 1126, 801, 1161, 776, 1136, 750, 1110)(747, 1107, 771, 1131, 808, 1168, 806, 1166, 769, 1129)(752, 1112, 779, 1139, 819, 1179, 817, 1177, 777, 1137)(753, 1113, 780, 1140, 821, 1181, 824, 1184, 781, 1141)(756, 1116, 785, 1145, 829, 1189, 792, 1152, 760, 1120)(763, 1123, 770, 1130, 807, 1167, 845, 1205, 797, 1157)(764, 1124, 798, 1158, 846, 1206, 849, 1209, 799, 1159)(768, 1128, 790, 1150, 836, 1196, 854, 1214, 803, 1163)(773, 1133, 812, 1172, 865, 1225, 863, 1223, 810, 1170)(774, 1134, 813, 1173, 867, 1227, 860, 1220, 809, 1169)(778, 1138, 818, 1178, 873, 1233, 825, 1185, 782, 1142)(783, 1143, 826, 1186, 883, 1243, 886, 1246, 827, 1187)(787, 1147, 823, 1183, 880, 1240, 891, 1251, 831, 1191)(789, 1149, 835, 1195, 896, 1256, 894, 1254, 833, 1193)(794, 1154, 841, 1201, 903, 1263, 901, 1261, 839, 1199)(795, 1155, 842, 1202, 905, 1265, 875, 1235, 820, 1180)(800, 1160, 804, 1164, 855, 1215, 915, 1275, 850, 1210)(802, 1162, 844, 1204, 908, 1268, 917, 1277, 851, 1211)(805, 1165, 856, 1216, 923, 1283, 926, 1286, 857, 1217)(811, 1171, 864, 1224, 933, 1293, 869, 1229, 814, 1174)(815, 1175, 852, 1212, 918, 1278, 888, 1248, 830, 1190)(816, 1176, 870, 1230, 940, 1300, 943, 1303, 871, 1231)(822, 1182, 879, 1239, 952, 1312, 950, 1310, 877, 1237)(828, 1188, 832, 1192, 892, 1252, 961, 1321, 887, 1247)(834, 1194, 895, 1255, 971, 1331, 899, 1259, 837, 1197)(838, 1198, 889, 1249, 963, 1323, 945, 1305, 874, 1234)(840, 1200, 902, 1262, 977, 1337, 907, 1267, 843, 1203)(847, 1207, 912, 1272, 987, 1347, 949, 1309, 910, 1270)(848, 1208, 913, 1273, 988, 1348, 978, 1338, 904, 1264)(853, 1213, 919, 1279, 996, 1356, 999, 1359, 920, 1280)(858, 1218, 861, 1221, 929, 1289, 1004, 1364, 927, 1287)(859, 1219, 882, 1242, 946, 1306, 985, 1345, 909, 1269)(862, 1222, 930, 1290, 941, 1301, 1007, 1367, 931, 1291)(866, 1226, 885, 1245, 959, 1319, 1011, 1371, 934, 1294)(868, 1228, 938, 1298, 1016, 1376, 1014, 1374, 936, 1296)(872, 1232, 876, 1236, 948, 1308, 1019, 1379, 944, 1304)(878, 1238, 951, 1311, 1023, 1383, 955, 1315, 881, 1241)(884, 1244, 958, 1318, 976, 1336, 900, 1260, 956, 1316)(890, 1250, 964, 1324, 989, 1349, 1033, 1393, 965, 1325)(893, 1253, 968, 1328, 924, 1284, 1001, 1361, 969, 1329)(897, 1257, 942, 1302, 1018, 1378, 1013, 1373, 972, 1332)(898, 1258, 974, 1334, 1037, 1397, 1000, 1360, 921, 1281)(906, 1266, 982, 1342, 1041, 1401, 1010, 1370, 980, 1340)(911, 1271, 986, 1346, 1045, 1405, 990, 1350, 914, 1274)(916, 1276, 992, 1352, 1048, 1408, 1051, 1411, 993, 1353)(922, 1282, 983, 1343, 1039, 1399, 1047, 1407, 991, 1351)(925, 1285, 1002, 1362, 997, 1357, 1024, 1384, 953, 1313)(928, 1288, 937, 1297, 1015, 1375, 1057, 1417, 1005, 1365)(932, 1292, 935, 1295, 1012, 1372, 1058, 1418, 1008, 1368)(939, 1299, 1009, 1369, 1059, 1419, 1029, 1389, 967, 1327)(947, 1307, 981, 1341, 1027, 1387, 1063, 1423, 1021, 1381)(954, 1314, 1025, 1385, 1065, 1425, 1034, 1394, 966, 1326)(957, 1317, 979, 1339, 1040, 1400, 1028, 1388, 960, 1320)(962, 1322, 995, 1355, 1046, 1406, 1069, 1429, 1030, 1390)(970, 1330, 973, 1333, 1036, 1396, 1054, 1414, 1003, 1363)(975, 1335, 1035, 1395, 1071, 1431, 1061, 1421, 1022, 1382)(984, 1344, 1043, 1403, 1075, 1435, 1052, 1412, 994, 1354)(998, 1358, 1053, 1413, 1049, 1409, 1074, 1434, 1042, 1402)(1006, 1366, 1026, 1386, 1064, 1424, 1077, 1437, 1055, 1415)(1017, 1377, 1032, 1392, 1070, 1430, 1050, 1410, 1060, 1420)(1020, 1380, 1031, 1391, 1067, 1427, 1073, 1433, 1044, 1404)(1038, 1398, 1062, 1422, 1079, 1439, 1068, 1428, 1072, 1432)(1056, 1416, 1078, 1438, 1076, 1436, 1080, 1440, 1066, 1426)
	L = (1, 723)(2, 727)(3, 730)(4, 732)(5, 721)(6, 735)(7, 737)(8, 722)(9, 724)(10, 734)(11, 745)(12, 746)(13, 748)(14, 725)(15, 751)(16, 726)(17, 740)(18, 757)(19, 758)(20, 728)(21, 761)(22, 729)(23, 731)(24, 766)(25, 767)(26, 742)(27, 771)(28, 772)(29, 733)(30, 744)(31, 754)(32, 779)(33, 780)(34, 736)(35, 738)(36, 785)(37, 786)(38, 788)(39, 739)(40, 756)(41, 793)(42, 741)(43, 770)(44, 798)(45, 743)(46, 801)(47, 765)(48, 790)(49, 747)(50, 807)(51, 808)(52, 775)(53, 812)(54, 813)(55, 749)(56, 750)(57, 752)(58, 818)(59, 819)(60, 821)(61, 753)(62, 778)(63, 826)(64, 755)(65, 829)(66, 784)(67, 823)(68, 791)(69, 835)(70, 836)(71, 759)(72, 760)(73, 796)(74, 841)(75, 842)(76, 762)(77, 763)(78, 846)(79, 764)(80, 804)(81, 776)(82, 844)(83, 768)(84, 855)(85, 856)(86, 769)(87, 845)(88, 806)(89, 774)(90, 773)(91, 864)(92, 865)(93, 867)(94, 811)(95, 852)(96, 870)(97, 777)(98, 873)(99, 817)(100, 795)(101, 824)(102, 879)(103, 880)(104, 781)(105, 782)(106, 883)(107, 783)(108, 832)(109, 792)(110, 815)(111, 787)(112, 892)(113, 789)(114, 895)(115, 896)(116, 854)(117, 834)(118, 889)(119, 794)(120, 902)(121, 903)(122, 905)(123, 840)(124, 908)(125, 797)(126, 849)(127, 912)(128, 913)(129, 799)(130, 800)(131, 802)(132, 918)(133, 919)(134, 803)(135, 915)(136, 923)(137, 805)(138, 861)(139, 882)(140, 809)(141, 929)(142, 930)(143, 810)(144, 933)(145, 863)(146, 885)(147, 860)(148, 938)(149, 814)(150, 940)(151, 816)(152, 876)(153, 825)(154, 838)(155, 820)(156, 948)(157, 822)(158, 951)(159, 952)(160, 891)(161, 878)(162, 946)(163, 886)(164, 958)(165, 959)(166, 827)(167, 828)(168, 830)(169, 963)(170, 964)(171, 831)(172, 961)(173, 968)(174, 833)(175, 971)(176, 894)(177, 942)(178, 974)(179, 837)(180, 956)(181, 839)(182, 977)(183, 901)(184, 848)(185, 875)(186, 982)(187, 843)(188, 917)(189, 859)(190, 847)(191, 986)(192, 987)(193, 988)(194, 911)(195, 850)(196, 992)(197, 851)(198, 888)(199, 996)(200, 853)(201, 898)(202, 983)(203, 926)(204, 1001)(205, 1002)(206, 857)(207, 858)(208, 937)(209, 1004)(210, 941)(211, 862)(212, 935)(213, 869)(214, 866)(215, 1012)(216, 868)(217, 1015)(218, 1016)(219, 1009)(220, 943)(221, 1007)(222, 1018)(223, 871)(224, 872)(225, 874)(226, 985)(227, 981)(228, 1019)(229, 910)(230, 877)(231, 1023)(232, 950)(233, 925)(234, 1025)(235, 881)(236, 884)(237, 979)(238, 976)(239, 1011)(240, 957)(241, 887)(242, 995)(243, 945)(244, 989)(245, 890)(246, 954)(247, 939)(248, 924)(249, 893)(250, 973)(251, 899)(252, 897)(253, 1036)(254, 1037)(255, 1035)(256, 900)(257, 907)(258, 904)(259, 1040)(260, 906)(261, 1027)(262, 1041)(263, 1039)(264, 1043)(265, 909)(266, 1045)(267, 949)(268, 978)(269, 1033)(270, 914)(271, 922)(272, 1048)(273, 916)(274, 984)(275, 1046)(276, 999)(277, 1024)(278, 1053)(279, 920)(280, 921)(281, 969)(282, 997)(283, 970)(284, 927)(285, 928)(286, 1026)(287, 931)(288, 932)(289, 1059)(290, 980)(291, 934)(292, 1058)(293, 972)(294, 936)(295, 1057)(296, 1014)(297, 1032)(298, 1013)(299, 944)(300, 1031)(301, 947)(302, 975)(303, 955)(304, 953)(305, 1065)(306, 1064)(307, 1063)(308, 960)(309, 967)(310, 962)(311, 1067)(312, 1070)(313, 965)(314, 966)(315, 1071)(316, 1054)(317, 1000)(318, 1062)(319, 1047)(320, 1028)(321, 1010)(322, 998)(323, 1075)(324, 1020)(325, 990)(326, 1069)(327, 991)(328, 1051)(329, 1074)(330, 1060)(331, 993)(332, 994)(333, 1049)(334, 1003)(335, 1006)(336, 1078)(337, 1005)(338, 1008)(339, 1029)(340, 1017)(341, 1022)(342, 1079)(343, 1021)(344, 1077)(345, 1034)(346, 1056)(347, 1073)(348, 1072)(349, 1030)(350, 1050)(351, 1061)(352, 1038)(353, 1044)(354, 1042)(355, 1052)(356, 1080)(357, 1055)(358, 1076)(359, 1068)(360, 1066)(361, 1081)(362, 1082)(363, 1083)(364, 1084)(365, 1085)(366, 1086)(367, 1087)(368, 1088)(369, 1089)(370, 1090)(371, 1091)(372, 1092)(373, 1093)(374, 1094)(375, 1095)(376, 1096)(377, 1097)(378, 1098)(379, 1099)(380, 1100)(381, 1101)(382, 1102)(383, 1103)(384, 1104)(385, 1105)(386, 1106)(387, 1107)(388, 1108)(389, 1109)(390, 1110)(391, 1111)(392, 1112)(393, 1113)(394, 1114)(395, 1115)(396, 1116)(397, 1117)(398, 1118)(399, 1119)(400, 1120)(401, 1121)(402, 1122)(403, 1123)(404, 1124)(405, 1125)(406, 1126)(407, 1127)(408, 1128)(409, 1129)(410, 1130)(411, 1131)(412, 1132)(413, 1133)(414, 1134)(415, 1135)(416, 1136)(417, 1137)(418, 1138)(419, 1139)(420, 1140)(421, 1141)(422, 1142)(423, 1143)(424, 1144)(425, 1145)(426, 1146)(427, 1147)(428, 1148)(429, 1149)(430, 1150)(431, 1151)(432, 1152)(433, 1153)(434, 1154)(435, 1155)(436, 1156)(437, 1157)(438, 1158)(439, 1159)(440, 1160)(441, 1161)(442, 1162)(443, 1163)(444, 1164)(445, 1165)(446, 1166)(447, 1167)(448, 1168)(449, 1169)(450, 1170)(451, 1171)(452, 1172)(453, 1173)(454, 1174)(455, 1175)(456, 1176)(457, 1177)(458, 1178)(459, 1179)(460, 1180)(461, 1181)(462, 1182)(463, 1183)(464, 1184)(465, 1185)(466, 1186)(467, 1187)(468, 1188)(469, 1189)(470, 1190)(471, 1191)(472, 1192)(473, 1193)(474, 1194)(475, 1195)(476, 1196)(477, 1197)(478, 1198)(479, 1199)(480, 1200)(481, 1201)(482, 1202)(483, 1203)(484, 1204)(485, 1205)(486, 1206)(487, 1207)(488, 1208)(489, 1209)(490, 1210)(491, 1211)(492, 1212)(493, 1213)(494, 1214)(495, 1215)(496, 1216)(497, 1217)(498, 1218)(499, 1219)(500, 1220)(501, 1221)(502, 1222)(503, 1223)(504, 1224)(505, 1225)(506, 1226)(507, 1227)(508, 1228)(509, 1229)(510, 1230)(511, 1231)(512, 1232)(513, 1233)(514, 1234)(515, 1235)(516, 1236)(517, 1237)(518, 1238)(519, 1239)(520, 1240)(521, 1241)(522, 1242)(523, 1243)(524, 1244)(525, 1245)(526, 1246)(527, 1247)(528, 1248)(529, 1249)(530, 1250)(531, 1251)(532, 1252)(533, 1253)(534, 1254)(535, 1255)(536, 1256)(537, 1257)(538, 1258)(539, 1259)(540, 1260)(541, 1261)(542, 1262)(543, 1263)(544, 1264)(545, 1265)(546, 1266)(547, 1267)(548, 1268)(549, 1269)(550, 1270)(551, 1271)(552, 1272)(553, 1273)(554, 1274)(555, 1275)(556, 1276)(557, 1277)(558, 1278)(559, 1279)(560, 1280)(561, 1281)(562, 1282)(563, 1283)(564, 1284)(565, 1285)(566, 1286)(567, 1287)(568, 1288)(569, 1289)(570, 1290)(571, 1291)(572, 1292)(573, 1293)(574, 1294)(575, 1295)(576, 1296)(577, 1297)(578, 1298)(579, 1299)(580, 1300)(581, 1301)(582, 1302)(583, 1303)(584, 1304)(585, 1305)(586, 1306)(587, 1307)(588, 1308)(589, 1309)(590, 1310)(591, 1311)(592, 1312)(593, 1313)(594, 1314)(595, 1315)(596, 1316)(597, 1317)(598, 1318)(599, 1319)(600, 1320)(601, 1321)(602, 1322)(603, 1323)(604, 1324)(605, 1325)(606, 1326)(607, 1327)(608, 1328)(609, 1329)(610, 1330)(611, 1331)(612, 1332)(613, 1333)(614, 1334)(615, 1335)(616, 1336)(617, 1337)(618, 1338)(619, 1339)(620, 1340)(621, 1341)(622, 1342)(623, 1343)(624, 1344)(625, 1345)(626, 1346)(627, 1347)(628, 1348)(629, 1349)(630, 1350)(631, 1351)(632, 1352)(633, 1353)(634, 1354)(635, 1355)(636, 1356)(637, 1357)(638, 1358)(639, 1359)(640, 1360)(641, 1361)(642, 1362)(643, 1363)(644, 1364)(645, 1365)(646, 1366)(647, 1367)(648, 1368)(649, 1369)(650, 1370)(651, 1371)(652, 1372)(653, 1373)(654, 1374)(655, 1375)(656, 1376)(657, 1377)(658, 1378)(659, 1379)(660, 1380)(661, 1381)(662, 1382)(663, 1383)(664, 1384)(665, 1385)(666, 1386)(667, 1387)(668, 1388)(669, 1389)(670, 1390)(671, 1391)(672, 1392)(673, 1393)(674, 1394)(675, 1395)(676, 1396)(677, 1397)(678, 1398)(679, 1399)(680, 1400)(681, 1401)(682, 1402)(683, 1403)(684, 1404)(685, 1405)(686, 1406)(687, 1407)(688, 1408)(689, 1409)(690, 1410)(691, 1411)(692, 1412)(693, 1413)(694, 1414)(695, 1415)(696, 1416)(697, 1417)(698, 1418)(699, 1419)(700, 1420)(701, 1421)(702, 1422)(703, 1423)(704, 1424)(705, 1425)(706, 1426)(707, 1427)(708, 1428)(709, 1429)(710, 1430)(711, 1431)(712, 1432)(713, 1433)(714, 1434)(715, 1435)(716, 1436)(717, 1437)(718, 1438)(719, 1439)(720, 1440)
	local type(s) :: { ( 2, 4, 2, 4, 2, 4, 2, 4 ), ( 2, 4, 2, 4, 2, 4, 2, 4, 2, 4 ) }
Outer automorphisms :: reflexible
Dual of E10.975
Graph:: bipartite
	v = 162 e = 720 f = 540
	degree seq :: [ 8^90, 10^72 ]

E10.975 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 5})
Quotient :: dipole
Aut^+ = A6 (small group id <360, 118>)
Aut   = A6 : C2 (small group id <720, 764>)
|r| :: 2
Presentation :: [ Y1, Y2^2, R^2, (R * Y3)^2, (R * Y1)^2, Y3^5, (R * Y2 * Y3^-1)^2, (Y2 * Y3)^4, (Y3^-1 * Y1^-1)^5, (Y2 * Y3^-2)^5, (Y3^-1 * Y2 * Y3 * Y2)^4 ]
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, 737, 1097)(730, 1090, 740, 1100)(732, 1092, 743, 1103)(734, 1094, 746, 1106)(735, 1095, 745, 1105)(736, 1096, 748, 1108)(738, 1098, 752, 1112)(739, 1099, 741, 1101)(742, 1102, 758, 1118)(744, 1104, 762, 1122)(747, 1107, 767, 1127)(749, 1109, 770, 1130)(750, 1110, 769, 1129)(751, 1111, 772, 1132)(753, 1113, 776, 1136)(754, 1114, 777, 1137)(755, 1115, 778, 1138)(756, 1116, 774, 1134)(757, 1117, 781, 1141)(759, 1119, 784, 1144)(760, 1120, 783, 1143)(761, 1121, 786, 1146)(763, 1123, 790, 1150)(764, 1124, 791, 1151)(765, 1125, 792, 1152)(766, 1126, 788, 1148)(768, 1128, 797, 1157)(771, 1131, 802, 1162)(773, 1133, 804, 1164)(775, 1135, 806, 1166)(779, 1139, 813, 1173)(780, 1140, 814, 1174)(782, 1142, 817, 1177)(785, 1145, 822, 1182)(787, 1147, 824, 1184)(789, 1149, 826, 1186)(793, 1153, 833, 1193)(794, 1154, 834, 1194)(795, 1155, 831, 1191)(796, 1156, 836, 1196)(798, 1158, 840, 1200)(799, 1159, 841, 1201)(800, 1160, 842, 1202)(801, 1161, 838, 1198)(803, 1163, 847, 1207)(805, 1165, 851, 1211)(807, 1167, 854, 1214)(808, 1168, 853, 1213)(809, 1169, 856, 1216)(810, 1170, 858, 1218)(811, 1171, 815, 1175)(812, 1172, 861, 1221)(816, 1176, 867, 1227)(818, 1178, 871, 1231)(819, 1179, 872, 1232)(820, 1180, 873, 1233)(821, 1181, 869, 1229)(823, 1183, 877, 1237)(825, 1185, 881, 1241)(827, 1187, 884, 1244)(828, 1188, 883, 1243)(829, 1189, 886, 1246)(830, 1190, 888, 1248)(832, 1192, 891, 1251)(835, 1195, 860, 1220)(837, 1197, 896, 1256)(839, 1199, 870, 1230)(843, 1203, 904, 1264)(844, 1204, 905, 1265)(845, 1205, 902, 1262)(846, 1206, 906, 1266)(848, 1208, 909, 1269)(849, 1209, 910, 1270)(850, 1210, 907, 1267)(852, 1212, 882, 1242)(855, 1215, 912, 1272)(857, 1217, 920, 1280)(859, 1219, 922, 1282)(862, 1222, 924, 1284)(863, 1223, 925, 1285)(864, 1224, 927, 1287)(865, 1225, 913, 1273)(866, 1226, 890, 1250)(868, 1228, 929, 1289)(874, 1234, 936, 1296)(875, 1235, 937, 1297)(876, 1236, 938, 1298)(878, 1238, 941, 1301)(879, 1239, 942, 1302)(880, 1240, 939, 1299)(885, 1245, 944, 1304)(887, 1247, 951, 1311)(889, 1249, 953, 1313)(892, 1252, 955, 1315)(893, 1253, 956, 1316)(894, 1254, 958, 1318)(895, 1255, 954, 1314)(897, 1257, 962, 1322)(898, 1258, 932, 1292)(899, 1259, 931, 1291)(900, 1260, 964, 1324)(901, 1261, 966, 1326)(903, 1263, 967, 1327)(908, 1268, 952, 1312)(911, 1271, 976, 1336)(914, 1274, 977, 1337)(915, 1275, 949, 1309)(916, 1276, 971, 1331)(917, 1277, 978, 1338)(918, 1278, 946, 1306)(919, 1279, 981, 1341)(921, 1281, 940, 1300)(923, 1283, 928, 1288)(926, 1286, 989, 1349)(930, 1290, 994, 1354)(933, 1293, 996, 1356)(934, 1294, 998, 1358)(935, 1295, 999, 1359)(943, 1303, 1007, 1367)(945, 1305, 1008, 1368)(947, 1307, 1002, 1362)(948, 1308, 1009, 1369)(950, 1310, 1012, 1372)(957, 1317, 1019, 1379)(959, 1319, 1005, 1365)(960, 1320, 986, 1346)(961, 1321, 1017, 1377)(963, 1323, 1022, 1382)(965, 1325, 1024, 1384)(968, 1328, 1026, 1386)(969, 1329, 1027, 1387)(970, 1330, 1025, 1385)(972, 1332, 1015, 1375)(973, 1333, 1013, 1373)(974, 1334, 991, 1351)(975, 1335, 1031, 1391)(979, 1339, 1034, 1394)(980, 1340, 1035, 1395)(982, 1342, 1004, 1364)(983, 1343, 1033, 1393)(984, 1344, 1036, 1396)(985, 1345, 1003, 1363)(987, 1347, 993, 1353)(988, 1348, 1039, 1399)(990, 1350, 1037, 1397)(992, 1352, 1016, 1376)(995, 1355, 1043, 1403)(997, 1357, 1045, 1405)(1000, 1360, 1047, 1407)(1001, 1361, 1046, 1406)(1006, 1366, 1051, 1411)(1010, 1370, 1054, 1414)(1011, 1371, 1055, 1415)(1014, 1374, 1053, 1413)(1018, 1378, 1058, 1418)(1020, 1380, 1056, 1416)(1021, 1381, 1061, 1421)(1023, 1383, 1062, 1422)(1028, 1388, 1050, 1410)(1029, 1389, 1059, 1419)(1030, 1390, 1048, 1408)(1032, 1392, 1065, 1425)(1038, 1398, 1066, 1426)(1040, 1400, 1049, 1409)(1041, 1401, 1067, 1427)(1042, 1402, 1068, 1428)(1044, 1404, 1069, 1429)(1052, 1412, 1072, 1432)(1057, 1417, 1073, 1433)(1060, 1420, 1074, 1434)(1063, 1423, 1076, 1436)(1064, 1424, 1077, 1437)(1070, 1430, 1079, 1439)(1071, 1431, 1080, 1440)(1075, 1435, 1078, 1438)
	L = (1, 723)(2, 725)(3, 728)(4, 721)(5, 732)(6, 722)(7, 735)(8, 730)(9, 738)(10, 724)(11, 741)(12, 734)(13, 744)(14, 726)(15, 747)(16, 727)(17, 750)(18, 753)(19, 729)(20, 755)(21, 757)(22, 731)(23, 760)(24, 763)(25, 733)(26, 765)(27, 749)(28, 768)(29, 736)(30, 771)(31, 737)(32, 774)(33, 754)(34, 739)(35, 779)(36, 740)(37, 759)(38, 782)(39, 742)(40, 785)(41, 743)(42, 788)(43, 764)(44, 745)(45, 793)(46, 746)(47, 795)(48, 798)(49, 748)(50, 800)(51, 773)(52, 803)(53, 751)(54, 805)(55, 752)(56, 808)(57, 810)(58, 772)(59, 780)(60, 756)(61, 815)(62, 818)(63, 758)(64, 820)(65, 787)(66, 823)(67, 761)(68, 825)(69, 762)(70, 828)(71, 830)(72, 786)(73, 794)(74, 766)(75, 835)(76, 767)(77, 838)(78, 799)(79, 769)(80, 843)(81, 770)(82, 845)(83, 848)(84, 849)(85, 807)(86, 852)(87, 775)(88, 855)(89, 776)(90, 859)(91, 777)(92, 778)(93, 862)(94, 864)(95, 866)(96, 781)(97, 869)(98, 819)(99, 783)(100, 874)(101, 784)(102, 865)(103, 878)(104, 879)(105, 827)(106, 882)(107, 789)(108, 885)(109, 790)(110, 889)(111, 791)(112, 792)(113, 892)(114, 894)(115, 837)(116, 895)(117, 796)(118, 897)(119, 797)(120, 899)(121, 901)(122, 836)(123, 844)(124, 801)(125, 834)(126, 802)(127, 907)(128, 812)(129, 911)(130, 804)(131, 913)(132, 915)(133, 806)(134, 917)(135, 857)(136, 919)(137, 809)(138, 856)(139, 860)(140, 811)(141, 923)(142, 905)(143, 813)(144, 876)(145, 814)(146, 868)(147, 928)(148, 816)(149, 930)(150, 817)(151, 932)(152, 934)(153, 867)(154, 875)(155, 821)(156, 822)(157, 939)(158, 832)(159, 943)(160, 824)(161, 902)(162, 946)(163, 826)(164, 948)(165, 887)(166, 950)(167, 829)(168, 886)(169, 890)(170, 831)(171, 954)(172, 937)(173, 833)(174, 846)(175, 959)(176, 960)(177, 898)(178, 839)(179, 963)(180, 840)(181, 945)(182, 841)(183, 842)(184, 968)(185, 926)(186, 970)(187, 971)(188, 847)(189, 973)(190, 906)(191, 912)(192, 850)(193, 872)(194, 851)(195, 916)(196, 853)(197, 979)(198, 854)(199, 982)(200, 983)(201, 858)(202, 985)(203, 987)(204, 861)(205, 988)(206, 863)(207, 925)(208, 991)(209, 992)(210, 931)(211, 870)(212, 995)(213, 871)(214, 914)(215, 873)(216, 984)(217, 957)(218, 1001)(219, 1002)(220, 877)(221, 1004)(222, 938)(223, 944)(224, 880)(225, 881)(226, 947)(227, 883)(228, 1010)(229, 884)(230, 1013)(231, 1014)(232, 888)(233, 1015)(234, 1017)(235, 891)(236, 1018)(237, 893)(238, 956)(239, 903)(240, 1021)(241, 896)(242, 924)(243, 965)(244, 1023)(245, 900)(246, 964)(247, 1025)(248, 951)(249, 904)(250, 1028)(251, 972)(252, 908)(253, 1029)(254, 909)(255, 910)(256, 1032)(257, 966)(258, 977)(259, 980)(260, 918)(261, 1036)(262, 921)(263, 1000)(264, 920)(265, 1035)(266, 922)(267, 962)(268, 1040)(269, 1027)(270, 927)(271, 935)(272, 1042)(273, 929)(274, 955)(275, 997)(276, 1044)(277, 933)(278, 996)(279, 1046)(280, 936)(281, 1048)(282, 1003)(283, 940)(284, 1049)(285, 941)(286, 942)(287, 1052)(288, 998)(289, 1008)(290, 1011)(291, 949)(292, 1026)(293, 952)(294, 969)(295, 1055)(296, 953)(297, 994)(298, 1059)(299, 1047)(300, 958)(301, 1022)(302, 961)(303, 978)(304, 1063)(305, 1056)(306, 967)(307, 1064)(308, 975)(309, 1030)(310, 974)(311, 1039)(312, 1024)(313, 976)(314, 1041)(315, 1038)(316, 999)(317, 981)(318, 986)(319, 1067)(320, 990)(321, 989)(322, 1043)(323, 993)(324, 1009)(325, 1070)(326, 1037)(327, 1071)(328, 1006)(329, 1050)(330, 1005)(331, 1058)(332, 1045)(333, 1007)(334, 1060)(335, 1057)(336, 1012)(337, 1016)(338, 1074)(339, 1020)(340, 1019)(341, 1075)(342, 1065)(343, 1033)(344, 1034)(345, 1031)(346, 1077)(347, 1062)(348, 1078)(349, 1072)(350, 1053)(351, 1054)(352, 1051)(353, 1080)(354, 1069)(355, 1073)(356, 1061)(357, 1079)(358, 1066)(359, 1068)(360, 1076)(361, 1081)(362, 1082)(363, 1083)(364, 1084)(365, 1085)(366, 1086)(367, 1087)(368, 1088)(369, 1089)(370, 1090)(371, 1091)(372, 1092)(373, 1093)(374, 1094)(375, 1095)(376, 1096)(377, 1097)(378, 1098)(379, 1099)(380, 1100)(381, 1101)(382, 1102)(383, 1103)(384, 1104)(385, 1105)(386, 1106)(387, 1107)(388, 1108)(389, 1109)(390, 1110)(391, 1111)(392, 1112)(393, 1113)(394, 1114)(395, 1115)(396, 1116)(397, 1117)(398, 1118)(399, 1119)(400, 1120)(401, 1121)(402, 1122)(403, 1123)(404, 1124)(405, 1125)(406, 1126)(407, 1127)(408, 1128)(409, 1129)(410, 1130)(411, 1131)(412, 1132)(413, 1133)(414, 1134)(415, 1135)(416, 1136)(417, 1137)(418, 1138)(419, 1139)(420, 1140)(421, 1141)(422, 1142)(423, 1143)(424, 1144)(425, 1145)(426, 1146)(427, 1147)(428, 1148)(429, 1149)(430, 1150)(431, 1151)(432, 1152)(433, 1153)(434, 1154)(435, 1155)(436, 1156)(437, 1157)(438, 1158)(439, 1159)(440, 1160)(441, 1161)(442, 1162)(443, 1163)(444, 1164)(445, 1165)(446, 1166)(447, 1167)(448, 1168)(449, 1169)(450, 1170)(451, 1171)(452, 1172)(453, 1173)(454, 1174)(455, 1175)(456, 1176)(457, 1177)(458, 1178)(459, 1179)(460, 1180)(461, 1181)(462, 1182)(463, 1183)(464, 1184)(465, 1185)(466, 1186)(467, 1187)(468, 1188)(469, 1189)(470, 1190)(471, 1191)(472, 1192)(473, 1193)(474, 1194)(475, 1195)(476, 1196)(477, 1197)(478, 1198)(479, 1199)(480, 1200)(481, 1201)(482, 1202)(483, 1203)(484, 1204)(485, 1205)(486, 1206)(487, 1207)(488, 1208)(489, 1209)(490, 1210)(491, 1211)(492, 1212)(493, 1213)(494, 1214)(495, 1215)(496, 1216)(497, 1217)(498, 1218)(499, 1219)(500, 1220)(501, 1221)(502, 1222)(503, 1223)(504, 1224)(505, 1225)(506, 1226)(507, 1227)(508, 1228)(509, 1229)(510, 1230)(511, 1231)(512, 1232)(513, 1233)(514, 1234)(515, 1235)(516, 1236)(517, 1237)(518, 1238)(519, 1239)(520, 1240)(521, 1241)(522, 1242)(523, 1243)(524, 1244)(525, 1245)(526, 1246)(527, 1247)(528, 1248)(529, 1249)(530, 1250)(531, 1251)(532, 1252)(533, 1253)(534, 1254)(535, 1255)(536, 1256)(537, 1257)(538, 1258)(539, 1259)(540, 1260)(541, 1261)(542, 1262)(543, 1263)(544, 1264)(545, 1265)(546, 1266)(547, 1267)(548, 1268)(549, 1269)(550, 1270)(551, 1271)(552, 1272)(553, 1273)(554, 1274)(555, 1275)(556, 1276)(557, 1277)(558, 1278)(559, 1279)(560, 1280)(561, 1281)(562, 1282)(563, 1283)(564, 1284)(565, 1285)(566, 1286)(567, 1287)(568, 1288)(569, 1289)(570, 1290)(571, 1291)(572, 1292)(573, 1293)(574, 1294)(575, 1295)(576, 1296)(577, 1297)(578, 1298)(579, 1299)(580, 1300)(581, 1301)(582, 1302)(583, 1303)(584, 1304)(585, 1305)(586, 1306)(587, 1307)(588, 1308)(589, 1309)(590, 1310)(591, 1311)(592, 1312)(593, 1313)(594, 1314)(595, 1315)(596, 1316)(597, 1317)(598, 1318)(599, 1319)(600, 1320)(601, 1321)(602, 1322)(603, 1323)(604, 1324)(605, 1325)(606, 1326)(607, 1327)(608, 1328)(609, 1329)(610, 1330)(611, 1331)(612, 1332)(613, 1333)(614, 1334)(615, 1335)(616, 1336)(617, 1337)(618, 1338)(619, 1339)(620, 1340)(621, 1341)(622, 1342)(623, 1343)(624, 1344)(625, 1345)(626, 1346)(627, 1347)(628, 1348)(629, 1349)(630, 1350)(631, 1351)(632, 1352)(633, 1353)(634, 1354)(635, 1355)(636, 1356)(637, 1357)(638, 1358)(639, 1359)(640, 1360)(641, 1361)(642, 1362)(643, 1363)(644, 1364)(645, 1365)(646, 1366)(647, 1367)(648, 1368)(649, 1369)(650, 1370)(651, 1371)(652, 1372)(653, 1373)(654, 1374)(655, 1375)(656, 1376)(657, 1377)(658, 1378)(659, 1379)(660, 1380)(661, 1381)(662, 1382)(663, 1383)(664, 1384)(665, 1385)(666, 1386)(667, 1387)(668, 1388)(669, 1389)(670, 1390)(671, 1391)(672, 1392)(673, 1393)(674, 1394)(675, 1395)(676, 1396)(677, 1397)(678, 1398)(679, 1399)(680, 1400)(681, 1401)(682, 1402)(683, 1403)(684, 1404)(685, 1405)(686, 1406)(687, 1407)(688, 1408)(689, 1409)(690, 1410)(691, 1411)(692, 1412)(693, 1413)(694, 1414)(695, 1415)(696, 1416)(697, 1417)(698, 1418)(699, 1419)(700, 1420)(701, 1421)(702, 1422)(703, 1423)(704, 1424)(705, 1425)(706, 1426)(707, 1427)(708, 1428)(709, 1429)(710, 1430)(711, 1431)(712, 1432)(713, 1433)(714, 1434)(715, 1435)(716, 1436)(717, 1437)(718, 1438)(719, 1439)(720, 1440)
	local type(s) :: { ( 8, 10 ), ( 8, 10, 8, 10 ) }
Outer automorphisms :: reflexible
Dual of E10.974
Graph:: simple bipartite
	v = 540 e = 720 f = 162
	degree seq :: [ 2^360, 4^180 ]

E10.976 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 5})
Quotient :: dipole
Aut^+ = A6 (small group id <360, 118>)
Aut   = A6 : C2 (small group id <720, 764>)
|r| :: 2
Presentation :: [ Y2, R^2, Y3^2, R * Y2 * R * Y2^-1, (R * Y3)^2, (Y3 * Y2^-1)^2, (R * Y1)^2, Y1^5, (Y1 * Y3)^4, (Y1^2 * Y3)^5, (Y3 * Y1 * Y3 * Y1^-1)^4 ]
Map:: polytopal
	R = (1, 361, 2, 362, 5, 365, 10, 370, 4, 364)(3, 363, 7, 367, 14, 374, 17, 377, 8, 368)(6, 366, 12, 372, 23, 383, 26, 386, 13, 373)(9, 369, 18, 378, 32, 392, 34, 394, 19, 379)(11, 371, 21, 381, 37, 397, 40, 400, 22, 382)(15, 375, 28, 388, 47, 407, 49, 409, 29, 389)(16, 376, 30, 390, 50, 410, 42, 402, 24, 384)(20, 380, 35, 395, 58, 418, 60, 420, 36, 396)(25, 385, 43, 403, 68, 428, 62, 422, 38, 398)(27, 387, 45, 405, 72, 432, 75, 435, 46, 406)(31, 391, 52, 412, 82, 442, 84, 444, 53, 413)(33, 393, 55, 415, 87, 447, 89, 449, 56, 416)(39, 399, 63, 423, 98, 458, 93, 453, 59, 419)(41, 401, 65, 425, 102, 462, 105, 465, 66, 426)(44, 404, 70, 430, 110, 470, 112, 472, 71, 431)(48, 408, 77, 437, 119, 479, 114, 474, 73, 433)(51, 411, 80, 440, 125, 485, 127, 487, 81, 441)(54, 414, 85, 445, 131, 491, 134, 494, 86, 446)(57, 417, 90, 450, 138, 498, 140, 500, 91, 451)(61, 421, 95, 455, 130, 490, 148, 508, 96, 456)(64, 424, 100, 460, 153, 513, 155, 515, 101, 461)(67, 427, 106, 466, 159, 519, 156, 516, 103, 463)(69, 429, 108, 468, 163, 523, 165, 525, 109, 469)(74, 434, 115, 475, 171, 531, 129, 489, 83, 443)(76, 436, 117, 477, 175, 535, 177, 537, 118, 478)(78, 438, 121, 481, 180, 540, 182, 542, 122, 482)(79, 439, 123, 483, 183, 543, 186, 546, 124, 484)(88, 448, 136, 496, 198, 558, 193, 553, 132, 492)(92, 452, 141, 501, 168, 528, 205, 565, 142, 502)(94, 454, 144, 504, 169, 529, 113, 473, 145, 505)(97, 457, 149, 509, 210, 570, 187, 547, 146, 506)(99, 459, 151, 511, 214, 574, 216, 576, 152, 512)(104, 464, 157, 517, 219, 579, 167, 527, 111, 471)(107, 467, 161, 521, 224, 584, 227, 587, 162, 522)(116, 476, 173, 533, 238, 598, 240, 600, 174, 534)(120, 480, 179, 539, 244, 604, 225, 585, 164, 524)(126, 486, 188, 548, 251, 611, 248, 608, 184, 544)(128, 488, 190, 550, 247, 607, 256, 616, 191, 551)(133, 493, 194, 554, 257, 617, 202, 562, 139, 499)(135, 495, 196, 556, 170, 530, 234, 594, 197, 557)(137, 497, 199, 559, 262, 622, 264, 624, 200, 560)(143, 503, 206, 566, 269, 629, 228, 588, 203, 563)(147, 507, 208, 568, 271, 631, 218, 578, 154, 514)(150, 510, 212, 572, 275, 635, 278, 638, 213, 573)(158, 518, 221, 581, 285, 645, 286, 646, 222, 582)(160, 520, 185, 545, 249, 609, 276, 636, 215, 575)(166, 526, 230, 590, 250, 610, 293, 653, 231, 591)(172, 532, 236, 596, 297, 657, 298, 658, 237, 597)(176, 536, 241, 601, 277, 637, 246, 606, 181, 541)(178, 538, 229, 589, 290, 650, 304, 664, 243, 603)(189, 549, 252, 612, 309, 669, 311, 671, 253, 613)(192, 552, 220, 580, 284, 644, 305, 665, 254, 614)(195, 555, 259, 619, 306, 666, 245, 605, 260, 620)(201, 561, 265, 625, 317, 677, 318, 678, 266, 626)(204, 564, 267, 627, 319, 679, 270, 630, 207, 567)(209, 569, 255, 615, 312, 672, 324, 684, 273, 633)(211, 571, 226, 586, 288, 648, 263, 623, 261, 621)(217, 577, 280, 640, 289, 649, 328, 688, 281, 641)(223, 583, 279, 639, 326, 686, 330, 690, 287, 647)(232, 592, 272, 632, 323, 683, 308, 668, 291, 651)(233, 593, 294, 654, 325, 685, 300, 660, 239, 599)(235, 595, 296, 656, 336, 696, 322, 682, 283, 643)(242, 602, 301, 661, 339, 699, 332, 692, 302, 662)(258, 618, 314, 674, 307, 667, 335, 695, 315, 675)(268, 628, 292, 652, 333, 693, 316, 676, 321, 681)(274, 634, 295, 655, 303, 663, 340, 700, 310, 670)(282, 642, 320, 680, 347, 707, 331, 691, 327, 687)(299, 659, 337, 697, 341, 701, 352, 712, 334, 694)(313, 673, 342, 702, 356, 716, 343, 703, 345, 705)(329, 689, 349, 709, 350, 710, 359, 719, 348, 708)(338, 698, 344, 704, 357, 717, 355, 715, 353, 713)(346, 706, 351, 711, 360, 720, 354, 714, 358, 718)(721, 1081)(722, 1082)(723, 1083)(724, 1084)(725, 1085)(726, 1086)(727, 1087)(728, 1088)(729, 1089)(730, 1090)(731, 1091)(732, 1092)(733, 1093)(734, 1094)(735, 1095)(736, 1096)(737, 1097)(738, 1098)(739, 1099)(740, 1100)(741, 1101)(742, 1102)(743, 1103)(744, 1104)(745, 1105)(746, 1106)(747, 1107)(748, 1108)(749, 1109)(750, 1110)(751, 1111)(752, 1112)(753, 1113)(754, 1114)(755, 1115)(756, 1116)(757, 1117)(758, 1118)(759, 1119)(760, 1120)(761, 1121)(762, 1122)(763, 1123)(764, 1124)(765, 1125)(766, 1126)(767, 1127)(768, 1128)(769, 1129)(770, 1130)(771, 1131)(772, 1132)(773, 1133)(774, 1134)(775, 1135)(776, 1136)(777, 1137)(778, 1138)(779, 1139)(780, 1140)(781, 1141)(782, 1142)(783, 1143)(784, 1144)(785, 1145)(786, 1146)(787, 1147)(788, 1148)(789, 1149)(790, 1150)(791, 1151)(792, 1152)(793, 1153)(794, 1154)(795, 1155)(796, 1156)(797, 1157)(798, 1158)(799, 1159)(800, 1160)(801, 1161)(802, 1162)(803, 1163)(804, 1164)(805, 1165)(806, 1166)(807, 1167)(808, 1168)(809, 1169)(810, 1170)(811, 1171)(812, 1172)(813, 1173)(814, 1174)(815, 1175)(816, 1176)(817, 1177)(818, 1178)(819, 1179)(820, 1180)(821, 1181)(822, 1182)(823, 1183)(824, 1184)(825, 1185)(826, 1186)(827, 1187)(828, 1188)(829, 1189)(830, 1190)(831, 1191)(832, 1192)(833, 1193)(834, 1194)(835, 1195)(836, 1196)(837, 1197)(838, 1198)(839, 1199)(840, 1200)(841, 1201)(842, 1202)(843, 1203)(844, 1204)(845, 1205)(846, 1206)(847, 1207)(848, 1208)(849, 1209)(850, 1210)(851, 1211)(852, 1212)(853, 1213)(854, 1214)(855, 1215)(856, 1216)(857, 1217)(858, 1218)(859, 1219)(860, 1220)(861, 1221)(862, 1222)(863, 1223)(864, 1224)(865, 1225)(866, 1226)(867, 1227)(868, 1228)(869, 1229)(870, 1230)(871, 1231)(872, 1232)(873, 1233)(874, 1234)(875, 1235)(876, 1236)(877, 1237)(878, 1238)(879, 1239)(880, 1240)(881, 1241)(882, 1242)(883, 1243)(884, 1244)(885, 1245)(886, 1246)(887, 1247)(888, 1248)(889, 1249)(890, 1250)(891, 1251)(892, 1252)(893, 1253)(894, 1254)(895, 1255)(896, 1256)(897, 1257)(898, 1258)(899, 1259)(900, 1260)(901, 1261)(902, 1262)(903, 1263)(904, 1264)(905, 1265)(906, 1266)(907, 1267)(908, 1268)(909, 1269)(910, 1270)(911, 1271)(912, 1272)(913, 1273)(914, 1274)(915, 1275)(916, 1276)(917, 1277)(918, 1278)(919, 1279)(920, 1280)(921, 1281)(922, 1282)(923, 1283)(924, 1284)(925, 1285)(926, 1286)(927, 1287)(928, 1288)(929, 1289)(930, 1290)(931, 1291)(932, 1292)(933, 1293)(934, 1294)(935, 1295)(936, 1296)(937, 1297)(938, 1298)(939, 1299)(940, 1300)(941, 1301)(942, 1302)(943, 1303)(944, 1304)(945, 1305)(946, 1306)(947, 1307)(948, 1308)(949, 1309)(950, 1310)(951, 1311)(952, 1312)(953, 1313)(954, 1314)(955, 1315)(956, 1316)(957, 1317)(958, 1318)(959, 1319)(960, 1320)(961, 1321)(962, 1322)(963, 1323)(964, 1324)(965, 1325)(966, 1326)(967, 1327)(968, 1328)(969, 1329)(970, 1330)(971, 1331)(972, 1332)(973, 1333)(974, 1334)(975, 1335)(976, 1336)(977, 1337)(978, 1338)(979, 1339)(980, 1340)(981, 1341)(982, 1342)(983, 1343)(984, 1344)(985, 1345)(986, 1346)(987, 1347)(988, 1348)(989, 1349)(990, 1350)(991, 1351)(992, 1352)(993, 1353)(994, 1354)(995, 1355)(996, 1356)(997, 1357)(998, 1358)(999, 1359)(1000, 1360)(1001, 1361)(1002, 1362)(1003, 1363)(1004, 1364)(1005, 1365)(1006, 1366)(1007, 1367)(1008, 1368)(1009, 1369)(1010, 1370)(1011, 1371)(1012, 1372)(1013, 1373)(1014, 1374)(1015, 1375)(1016, 1376)(1017, 1377)(1018, 1378)(1019, 1379)(1020, 1380)(1021, 1381)(1022, 1382)(1023, 1383)(1024, 1384)(1025, 1385)(1026, 1386)(1027, 1387)(1028, 1388)(1029, 1389)(1030, 1390)(1031, 1391)(1032, 1392)(1033, 1393)(1034, 1394)(1035, 1395)(1036, 1396)(1037, 1397)(1038, 1398)(1039, 1399)(1040, 1400)(1041, 1401)(1042, 1402)(1043, 1403)(1044, 1404)(1045, 1405)(1046, 1406)(1047, 1407)(1048, 1408)(1049, 1409)(1050, 1410)(1051, 1411)(1052, 1412)(1053, 1413)(1054, 1414)(1055, 1415)(1056, 1416)(1057, 1417)(1058, 1418)(1059, 1419)(1060, 1420)(1061, 1421)(1062, 1422)(1063, 1423)(1064, 1424)(1065, 1425)(1066, 1426)(1067, 1427)(1068, 1428)(1069, 1429)(1070, 1430)(1071, 1431)(1072, 1432)(1073, 1433)(1074, 1434)(1075, 1435)(1076, 1436)(1077, 1437)(1078, 1438)(1079, 1439)(1080, 1440)
	L = (1, 723)(2, 726)(3, 721)(4, 729)(5, 731)(6, 722)(7, 735)(8, 736)(9, 724)(10, 740)(11, 725)(12, 744)(13, 745)(14, 747)(15, 727)(16, 728)(17, 751)(18, 753)(19, 748)(20, 730)(21, 758)(22, 759)(23, 761)(24, 732)(25, 733)(26, 764)(27, 734)(28, 739)(29, 768)(30, 771)(31, 737)(32, 774)(33, 738)(34, 777)(35, 779)(36, 775)(37, 781)(38, 741)(39, 742)(40, 784)(41, 743)(42, 787)(43, 789)(44, 746)(45, 793)(46, 794)(47, 796)(48, 749)(49, 798)(50, 799)(51, 750)(52, 803)(53, 800)(54, 752)(55, 756)(56, 808)(57, 754)(58, 812)(59, 755)(60, 814)(61, 757)(62, 817)(63, 819)(64, 760)(65, 823)(66, 824)(67, 762)(68, 827)(69, 763)(70, 831)(71, 828)(72, 833)(73, 765)(74, 766)(75, 836)(76, 767)(77, 840)(78, 769)(79, 770)(80, 773)(81, 846)(82, 848)(83, 772)(84, 850)(85, 852)(86, 853)(87, 855)(88, 776)(89, 857)(90, 859)(91, 837)(92, 778)(93, 863)(94, 780)(95, 866)(96, 867)(97, 782)(98, 870)(99, 783)(100, 874)(101, 871)(102, 860)(103, 785)(104, 786)(105, 878)(106, 880)(107, 788)(108, 791)(109, 884)(110, 886)(111, 790)(112, 888)(113, 792)(114, 890)(115, 892)(116, 795)(117, 811)(118, 896)(119, 898)(120, 797)(121, 901)(122, 899)(123, 904)(124, 905)(125, 907)(126, 801)(127, 909)(128, 802)(129, 912)(130, 804)(131, 875)(132, 805)(133, 806)(134, 915)(135, 807)(136, 908)(137, 809)(138, 921)(139, 810)(140, 822)(141, 923)(142, 924)(143, 813)(144, 927)(145, 916)(146, 815)(147, 816)(148, 929)(149, 931)(150, 818)(151, 821)(152, 935)(153, 937)(154, 820)(155, 851)(156, 895)(157, 940)(158, 825)(159, 943)(160, 826)(161, 945)(162, 946)(163, 948)(164, 829)(165, 949)(166, 830)(167, 952)(168, 832)(169, 953)(170, 834)(171, 955)(172, 835)(173, 959)(174, 956)(175, 876)(176, 838)(177, 962)(178, 839)(179, 842)(180, 965)(181, 841)(182, 967)(183, 960)(184, 843)(185, 844)(186, 970)(187, 845)(188, 856)(189, 847)(190, 974)(191, 975)(192, 849)(193, 934)(194, 978)(195, 854)(196, 865)(197, 981)(198, 973)(199, 983)(200, 971)(201, 858)(202, 957)(203, 861)(204, 862)(205, 988)(206, 961)(207, 864)(208, 992)(209, 868)(210, 994)(211, 869)(212, 996)(213, 997)(214, 913)(215, 872)(216, 999)(217, 873)(218, 1002)(219, 1003)(220, 877)(221, 986)(222, 1004)(223, 879)(224, 1006)(225, 881)(226, 882)(227, 1009)(228, 883)(229, 885)(230, 1011)(231, 1012)(232, 887)(233, 889)(234, 1015)(235, 891)(236, 894)(237, 922)(238, 1019)(239, 893)(240, 903)(241, 926)(242, 897)(243, 1023)(244, 1025)(245, 900)(246, 1027)(247, 902)(248, 1017)(249, 1028)(250, 906)(251, 920)(252, 1030)(253, 918)(254, 910)(255, 911)(256, 1033)(257, 1016)(258, 914)(259, 1001)(260, 1034)(261, 917)(262, 1036)(263, 919)(264, 1037)(265, 1018)(266, 941)(267, 1040)(268, 925)(269, 1022)(270, 1035)(271, 1042)(272, 928)(273, 1043)(274, 930)(275, 1044)(276, 932)(277, 933)(278, 1045)(279, 936)(280, 1047)(281, 979)(282, 938)(283, 939)(284, 942)(285, 1049)(286, 944)(287, 1021)(288, 1051)(289, 947)(290, 1052)(291, 950)(292, 951)(293, 1054)(294, 1055)(295, 954)(296, 977)(297, 968)(298, 985)(299, 958)(300, 1058)(301, 1007)(302, 989)(303, 963)(304, 1061)(305, 964)(306, 1062)(307, 966)(308, 969)(309, 1063)(310, 972)(311, 1046)(312, 1064)(313, 976)(314, 980)(315, 990)(316, 982)(317, 984)(318, 1066)(319, 1056)(320, 987)(321, 1067)(322, 991)(323, 993)(324, 995)(325, 998)(326, 1031)(327, 1000)(328, 1068)(329, 1005)(330, 1070)(331, 1008)(332, 1010)(333, 1071)(334, 1013)(335, 1014)(336, 1039)(337, 1073)(338, 1020)(339, 1074)(340, 1075)(341, 1024)(342, 1026)(343, 1029)(344, 1032)(345, 1077)(346, 1038)(347, 1041)(348, 1048)(349, 1078)(350, 1050)(351, 1053)(352, 1080)(353, 1057)(354, 1059)(355, 1060)(356, 1079)(357, 1065)(358, 1069)(359, 1076)(360, 1072)(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, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E10.973
Graph:: simple bipartite
	v = 432 e = 720 f = 270
	degree seq :: [ 2^360, 10^72 ]

E10.977 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 5})
Quotient :: dipole
Aut^+ = A6 (small group id <360, 118>)
Aut   = A6 : C2 (small group id <720, 764>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, (R * Y3)^2, (R * Y1)^2, Y2^5, (R * Y2 * Y3^-1)^2, (Y1 * Y2)^4, (Y3 * Y2^-1)^4, (Y1 * Y2^-2)^5, (Y2 * Y1 * Y2^-1 * Y1)^4 ]
Map::
	R = (1, 361, 2, 362)(3, 363, 7, 367)(4, 364, 9, 369)(5, 365, 11, 371)(6, 366, 13, 373)(8, 368, 17, 377)(10, 370, 20, 380)(12, 372, 23, 383)(14, 374, 26, 386)(15, 375, 25, 385)(16, 376, 28, 388)(18, 378, 32, 392)(19, 379, 21, 381)(22, 382, 38, 398)(24, 384, 42, 402)(27, 387, 47, 407)(29, 389, 50, 410)(30, 390, 49, 409)(31, 391, 52, 412)(33, 393, 56, 416)(34, 394, 57, 417)(35, 395, 58, 418)(36, 396, 54, 414)(37, 397, 61, 421)(39, 399, 64, 424)(40, 400, 63, 423)(41, 401, 66, 426)(43, 403, 70, 430)(44, 404, 71, 431)(45, 405, 72, 432)(46, 406, 68, 428)(48, 408, 77, 437)(51, 411, 82, 442)(53, 413, 84, 444)(55, 415, 86, 446)(59, 419, 93, 453)(60, 420, 94, 454)(62, 422, 97, 457)(65, 425, 102, 462)(67, 427, 104, 464)(69, 429, 106, 466)(73, 433, 113, 473)(74, 434, 114, 474)(75, 435, 111, 471)(76, 436, 116, 476)(78, 438, 120, 480)(79, 439, 121, 481)(80, 440, 122, 482)(81, 441, 118, 478)(83, 443, 127, 487)(85, 445, 131, 491)(87, 447, 134, 494)(88, 448, 133, 493)(89, 449, 136, 496)(90, 450, 138, 498)(91, 451, 95, 455)(92, 452, 141, 501)(96, 456, 147, 507)(98, 458, 151, 511)(99, 459, 152, 512)(100, 460, 153, 513)(101, 461, 149, 509)(103, 463, 157, 517)(105, 465, 161, 521)(107, 467, 164, 524)(108, 468, 163, 523)(109, 469, 166, 526)(110, 470, 168, 528)(112, 472, 171, 531)(115, 475, 140, 500)(117, 477, 176, 536)(119, 479, 150, 510)(123, 483, 184, 544)(124, 484, 185, 545)(125, 485, 182, 542)(126, 486, 186, 546)(128, 488, 189, 549)(129, 489, 190, 550)(130, 490, 187, 547)(132, 492, 162, 522)(135, 495, 192, 552)(137, 497, 200, 560)(139, 499, 202, 562)(142, 502, 204, 564)(143, 503, 205, 565)(144, 504, 207, 567)(145, 505, 193, 553)(146, 506, 170, 530)(148, 508, 209, 569)(154, 514, 216, 576)(155, 515, 217, 577)(156, 516, 218, 578)(158, 518, 221, 581)(159, 519, 222, 582)(160, 520, 219, 579)(165, 525, 224, 584)(167, 527, 231, 591)(169, 529, 233, 593)(172, 532, 235, 595)(173, 533, 236, 596)(174, 534, 238, 598)(175, 535, 234, 594)(177, 537, 242, 602)(178, 538, 212, 572)(179, 539, 211, 571)(180, 540, 244, 604)(181, 541, 246, 606)(183, 543, 247, 607)(188, 548, 232, 592)(191, 551, 256, 616)(194, 554, 257, 617)(195, 555, 229, 589)(196, 556, 251, 611)(197, 557, 258, 618)(198, 558, 226, 586)(199, 559, 261, 621)(201, 561, 220, 580)(203, 563, 208, 568)(206, 566, 269, 629)(210, 570, 274, 634)(213, 573, 276, 636)(214, 574, 278, 638)(215, 575, 279, 639)(223, 583, 287, 647)(225, 585, 288, 648)(227, 587, 282, 642)(228, 588, 289, 649)(230, 590, 292, 652)(237, 597, 299, 659)(239, 599, 285, 645)(240, 600, 266, 626)(241, 601, 297, 657)(243, 603, 302, 662)(245, 605, 304, 664)(248, 608, 306, 666)(249, 609, 307, 667)(250, 610, 305, 665)(252, 612, 295, 655)(253, 613, 293, 653)(254, 614, 271, 631)(255, 615, 311, 671)(259, 619, 314, 674)(260, 620, 315, 675)(262, 622, 284, 644)(263, 623, 313, 673)(264, 624, 316, 676)(265, 625, 283, 643)(267, 627, 273, 633)(268, 628, 319, 679)(270, 630, 317, 677)(272, 632, 296, 656)(275, 635, 323, 683)(277, 637, 325, 685)(280, 640, 327, 687)(281, 641, 326, 686)(286, 646, 331, 691)(290, 650, 334, 694)(291, 651, 335, 695)(294, 654, 333, 693)(298, 658, 338, 698)(300, 660, 336, 696)(301, 661, 341, 701)(303, 663, 342, 702)(308, 668, 330, 690)(309, 669, 339, 699)(310, 670, 328, 688)(312, 672, 345, 705)(318, 678, 346, 706)(320, 680, 329, 689)(321, 681, 347, 707)(322, 682, 348, 708)(324, 684, 349, 709)(332, 692, 352, 712)(337, 697, 353, 713)(340, 700, 354, 714)(343, 703, 356, 716)(344, 704, 357, 717)(350, 710, 359, 719)(351, 711, 360, 720)(355, 715, 358, 718)(721, 1081, 723, 1083, 728, 1088, 730, 1090, 724, 1084)(722, 1082, 725, 1085, 732, 1092, 734, 1094, 726, 1086)(727, 1087, 735, 1095, 747, 1107, 749, 1109, 736, 1096)(729, 1089, 738, 1098, 753, 1113, 754, 1114, 739, 1099)(731, 1091, 741, 1101, 757, 1117, 759, 1119, 742, 1102)(733, 1093, 744, 1104, 763, 1123, 764, 1124, 745, 1105)(737, 1097, 750, 1110, 771, 1131, 773, 1133, 751, 1111)(740, 1100, 755, 1115, 779, 1139, 780, 1140, 756, 1116)(743, 1103, 760, 1120, 785, 1145, 787, 1147, 761, 1121)(746, 1106, 765, 1125, 793, 1153, 794, 1154, 766, 1126)(748, 1108, 768, 1128, 798, 1158, 799, 1159, 769, 1129)(752, 1112, 774, 1134, 805, 1165, 807, 1167, 775, 1135)(758, 1118, 782, 1142, 818, 1178, 819, 1179, 783, 1143)(762, 1122, 788, 1148, 825, 1185, 827, 1187, 789, 1149)(767, 1127, 795, 1155, 835, 1195, 837, 1197, 796, 1156)(770, 1130, 800, 1160, 843, 1203, 844, 1204, 801, 1161)(772, 1132, 803, 1163, 848, 1208, 812, 1172, 778, 1138)(776, 1136, 808, 1168, 855, 1215, 857, 1217, 809, 1169)(777, 1137, 810, 1170, 859, 1219, 860, 1220, 811, 1171)(781, 1141, 815, 1175, 866, 1226, 868, 1228, 816, 1176)(784, 1144, 820, 1180, 874, 1234, 875, 1235, 821, 1181)(786, 1146, 823, 1183, 878, 1238, 832, 1192, 792, 1152)(790, 1150, 828, 1188, 885, 1245, 887, 1247, 829, 1189)(791, 1151, 830, 1190, 889, 1249, 890, 1250, 831, 1191)(797, 1157, 838, 1198, 897, 1257, 898, 1258, 839, 1199)(802, 1162, 845, 1205, 834, 1194, 894, 1254, 846, 1206)(804, 1164, 849, 1209, 911, 1271, 912, 1272, 850, 1210)(806, 1166, 852, 1212, 915, 1275, 916, 1276, 853, 1213)(813, 1173, 862, 1222, 905, 1265, 926, 1286, 863, 1223)(814, 1174, 864, 1224, 876, 1236, 822, 1182, 865, 1225)(817, 1177, 869, 1229, 930, 1290, 931, 1291, 870, 1230)(824, 1184, 879, 1239, 943, 1303, 944, 1304, 880, 1240)(826, 1186, 882, 1242, 946, 1306, 947, 1307, 883, 1243)(833, 1193, 892, 1252, 937, 1297, 957, 1317, 893, 1253)(836, 1196, 895, 1255, 959, 1319, 903, 1263, 842, 1202)(840, 1200, 899, 1259, 963, 1323, 965, 1325, 900, 1260)(841, 1201, 901, 1261, 945, 1305, 881, 1241, 902, 1262)(847, 1207, 907, 1267, 971, 1331, 972, 1332, 908, 1268)(851, 1211, 913, 1273, 872, 1232, 934, 1294, 914, 1274)(854, 1214, 917, 1277, 979, 1339, 980, 1340, 918, 1278)(856, 1216, 919, 1279, 982, 1342, 921, 1281, 858, 1218)(861, 1221, 923, 1283, 987, 1347, 962, 1322, 924, 1284)(867, 1227, 928, 1288, 991, 1351, 935, 1295, 873, 1233)(871, 1231, 932, 1292, 995, 1355, 997, 1357, 933, 1293)(877, 1237, 939, 1299, 1002, 1362, 1003, 1363, 940, 1300)(884, 1244, 948, 1308, 1010, 1370, 1011, 1371, 949, 1309)(886, 1246, 950, 1310, 1013, 1373, 952, 1312, 888, 1248)(891, 1251, 954, 1314, 1017, 1377, 994, 1354, 955, 1315)(896, 1256, 960, 1320, 1021, 1381, 1022, 1382, 961, 1321)(904, 1264, 968, 1328, 951, 1311, 1014, 1374, 969, 1329)(906, 1266, 970, 1330, 1028, 1388, 975, 1335, 910, 1270)(909, 1269, 973, 1333, 1029, 1389, 1030, 1390, 974, 1334)(920, 1280, 983, 1343, 1000, 1360, 936, 1296, 984, 1344)(922, 1282, 985, 1345, 1035, 1395, 1038, 1398, 986, 1346)(925, 1285, 988, 1348, 1040, 1400, 990, 1350, 927, 1287)(929, 1289, 992, 1352, 1042, 1402, 1043, 1403, 993, 1353)(938, 1298, 1001, 1361, 1048, 1408, 1006, 1366, 942, 1302)(941, 1301, 1004, 1364, 1049, 1409, 1050, 1410, 1005, 1365)(953, 1313, 1015, 1375, 1055, 1415, 1057, 1417, 1016, 1376)(956, 1316, 1018, 1378, 1059, 1419, 1020, 1380, 958, 1318)(964, 1324, 1023, 1383, 978, 1338, 977, 1337, 966, 1326)(967, 1327, 1025, 1385, 1056, 1416, 1012, 1372, 1026, 1386)(976, 1336, 1032, 1392, 1024, 1384, 1063, 1423, 1033, 1393)(981, 1341, 1036, 1396, 999, 1359, 1046, 1406, 1037, 1397)(989, 1349, 1027, 1387, 1064, 1424, 1034, 1394, 1041, 1401)(996, 1356, 1044, 1404, 1009, 1369, 1008, 1368, 998, 1358)(1007, 1367, 1052, 1412, 1045, 1405, 1070, 1430, 1053, 1413)(1019, 1379, 1047, 1407, 1071, 1431, 1054, 1414, 1060, 1420)(1031, 1391, 1039, 1399, 1067, 1427, 1062, 1422, 1065, 1425)(1051, 1411, 1058, 1418, 1074, 1434, 1069, 1429, 1072, 1432)(1061, 1421, 1075, 1435, 1073, 1433, 1080, 1440, 1076, 1436)(1066, 1426, 1077, 1437, 1079, 1439, 1068, 1428, 1078, 1438)
	L = (1, 722)(2, 721)(3, 727)(4, 729)(5, 731)(6, 733)(7, 723)(8, 737)(9, 724)(10, 740)(11, 725)(12, 743)(13, 726)(14, 746)(15, 745)(16, 748)(17, 728)(18, 752)(19, 741)(20, 730)(21, 739)(22, 758)(23, 732)(24, 762)(25, 735)(26, 734)(27, 767)(28, 736)(29, 770)(30, 769)(31, 772)(32, 738)(33, 776)(34, 777)(35, 778)(36, 774)(37, 781)(38, 742)(39, 784)(40, 783)(41, 786)(42, 744)(43, 790)(44, 791)(45, 792)(46, 788)(47, 747)(48, 797)(49, 750)(50, 749)(51, 802)(52, 751)(53, 804)(54, 756)(55, 806)(56, 753)(57, 754)(58, 755)(59, 813)(60, 814)(61, 757)(62, 817)(63, 760)(64, 759)(65, 822)(66, 761)(67, 824)(68, 766)(69, 826)(70, 763)(71, 764)(72, 765)(73, 833)(74, 834)(75, 831)(76, 836)(77, 768)(78, 840)(79, 841)(80, 842)(81, 838)(82, 771)(83, 847)(84, 773)(85, 851)(86, 775)(87, 854)(88, 853)(89, 856)(90, 858)(91, 815)(92, 861)(93, 779)(94, 780)(95, 811)(96, 867)(97, 782)(98, 871)(99, 872)(100, 873)(101, 869)(102, 785)(103, 877)(104, 787)(105, 881)(106, 789)(107, 884)(108, 883)(109, 886)(110, 888)(111, 795)(112, 891)(113, 793)(114, 794)(115, 860)(116, 796)(117, 896)(118, 801)(119, 870)(120, 798)(121, 799)(122, 800)(123, 904)(124, 905)(125, 902)(126, 906)(127, 803)(128, 909)(129, 910)(130, 907)(131, 805)(132, 882)(133, 808)(134, 807)(135, 912)(136, 809)(137, 920)(138, 810)(139, 922)(140, 835)(141, 812)(142, 924)(143, 925)(144, 927)(145, 913)(146, 890)(147, 816)(148, 929)(149, 821)(150, 839)(151, 818)(152, 819)(153, 820)(154, 936)(155, 937)(156, 938)(157, 823)(158, 941)(159, 942)(160, 939)(161, 825)(162, 852)(163, 828)(164, 827)(165, 944)(166, 829)(167, 951)(168, 830)(169, 953)(170, 866)(171, 832)(172, 955)(173, 956)(174, 958)(175, 954)(176, 837)(177, 962)(178, 932)(179, 931)(180, 964)(181, 966)(182, 845)(183, 967)(184, 843)(185, 844)(186, 846)(187, 850)(188, 952)(189, 848)(190, 849)(191, 976)(192, 855)(193, 865)(194, 977)(195, 949)(196, 971)(197, 978)(198, 946)(199, 981)(200, 857)(201, 940)(202, 859)(203, 928)(204, 862)(205, 863)(206, 989)(207, 864)(208, 923)(209, 868)(210, 994)(211, 899)(212, 898)(213, 996)(214, 998)(215, 999)(216, 874)(217, 875)(218, 876)(219, 880)(220, 921)(221, 878)(222, 879)(223, 1007)(224, 885)(225, 1008)(226, 918)(227, 1002)(228, 1009)(229, 915)(230, 1012)(231, 887)(232, 908)(233, 889)(234, 895)(235, 892)(236, 893)(237, 1019)(238, 894)(239, 1005)(240, 986)(241, 1017)(242, 897)(243, 1022)(244, 900)(245, 1024)(246, 901)(247, 903)(248, 1026)(249, 1027)(250, 1025)(251, 916)(252, 1015)(253, 1013)(254, 991)(255, 1031)(256, 911)(257, 914)(258, 917)(259, 1034)(260, 1035)(261, 919)(262, 1004)(263, 1033)(264, 1036)(265, 1003)(266, 960)(267, 993)(268, 1039)(269, 926)(270, 1037)(271, 974)(272, 1016)(273, 987)(274, 930)(275, 1043)(276, 933)(277, 1045)(278, 934)(279, 935)(280, 1047)(281, 1046)(282, 947)(283, 985)(284, 982)(285, 959)(286, 1051)(287, 943)(288, 945)(289, 948)(290, 1054)(291, 1055)(292, 950)(293, 973)(294, 1053)(295, 972)(296, 992)(297, 961)(298, 1058)(299, 957)(300, 1056)(301, 1061)(302, 963)(303, 1062)(304, 965)(305, 970)(306, 968)(307, 969)(308, 1050)(309, 1059)(310, 1048)(311, 975)(312, 1065)(313, 983)(314, 979)(315, 980)(316, 984)(317, 990)(318, 1066)(319, 988)(320, 1049)(321, 1067)(322, 1068)(323, 995)(324, 1069)(325, 997)(326, 1001)(327, 1000)(328, 1030)(329, 1040)(330, 1028)(331, 1006)(332, 1072)(333, 1014)(334, 1010)(335, 1011)(336, 1020)(337, 1073)(338, 1018)(339, 1029)(340, 1074)(341, 1021)(342, 1023)(343, 1076)(344, 1077)(345, 1032)(346, 1038)(347, 1041)(348, 1042)(349, 1044)(350, 1079)(351, 1080)(352, 1052)(353, 1057)(354, 1060)(355, 1078)(356, 1063)(357, 1064)(358, 1075)(359, 1070)(360, 1071)(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, 8, 2, 8 ), ( 2, 8, 2, 8, 2, 8, 2, 8, 2, 8 ) }
Outer automorphisms :: reflexible
Dual of E10.978
Graph:: bipartite
	v = 252 e = 720 f = 450
	degree seq :: [ 4^180, 10^72 ]

E10.978 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 5})
Quotient :: dipole
Aut^+ = A6 (small group id <360, 118>)
Aut   = A6 : C2 (small group id <720, 764>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y3)^2, (R * Y1)^2, Y1^4, (Y3^-1 * Y1^-1)^2, Y3^5, (R * Y2 * Y3^-1)^2, (Y3^-1 * Y1)^5, (Y3 * Y2^-1)^5, Y1^-1 * Y3^-1 * Y1 * Y3^2 * Y1^2 * Y3 * Y1^-1 * Y3^-2 * Y1^-2 * Y3^-2 * Y1^-1 ]
Map:: polytopal
	R = (1, 361, 2, 362, 6, 366, 4, 364)(3, 363, 9, 369, 21, 381, 11, 371)(5, 365, 13, 373, 18, 378, 7, 367)(8, 368, 19, 379, 32, 392, 15, 375)(10, 370, 23, 383, 44, 404, 24, 384)(12, 372, 16, 376, 33, 393, 27, 387)(14, 374, 30, 390, 53, 413, 28, 388)(17, 377, 35, 395, 63, 423, 36, 396)(20, 380, 40, 400, 69, 429, 38, 398)(22, 382, 43, 403, 74, 434, 41, 401)(25, 385, 42, 402, 75, 435, 48, 408)(26, 386, 49, 409, 85, 445, 50, 410)(29, 389, 54, 414, 67, 427, 37, 397)(31, 391, 57, 417, 96, 456, 58, 418)(34, 394, 62, 422, 102, 462, 60, 420)(39, 399, 70, 430, 100, 460, 59, 419)(45, 405, 80, 440, 127, 487, 78, 438)(46, 406, 79, 439, 128, 488, 82, 442)(47, 407, 83, 443, 133, 493, 84, 444)(51, 411, 61, 421, 103, 463, 89, 449)(52, 412, 90, 450, 142, 502, 91, 451)(55, 415, 94, 454, 148, 508, 93, 453)(56, 416, 95, 455, 146, 506, 92, 452)(64, 424, 108, 468, 164, 524, 106, 466)(65, 425, 107, 467, 165, 525, 110, 470)(66, 426, 111, 471, 170, 530, 112, 472)(68, 428, 113, 473, 173, 533, 114, 474)(71, 431, 117, 477, 178, 538, 116, 476)(72, 432, 118, 478, 177, 537, 115, 475)(73, 433, 119, 479, 180, 540, 120, 480)(76, 436, 123, 483, 186, 546, 122, 482)(77, 437, 124, 484, 184, 544, 121, 481)(81, 441, 131, 491, 196, 556, 132, 492)(86, 446, 138, 498, 204, 564, 136, 496)(87, 447, 137, 497, 205, 565, 139, 499)(88, 448, 140, 500, 208, 568, 141, 501)(97, 457, 152, 512, 221, 581, 150, 510)(98, 458, 151, 511, 222, 582, 154, 514)(99, 459, 155, 515, 227, 587, 156, 516)(101, 461, 157, 517, 229, 589, 158, 518)(104, 464, 161, 521, 234, 594, 160, 520)(105, 465, 162, 522, 233, 593, 159, 519)(109, 469, 168, 528, 242, 602, 169, 529)(125, 485, 189, 549, 264, 624, 188, 548)(126, 486, 190, 550, 230, 590, 191, 551)(129, 489, 194, 554, 269, 629, 193, 553)(130, 490, 144, 504, 211, 571, 192, 552)(134, 494, 201, 561, 277, 637, 199, 559)(135, 495, 200, 560, 278, 638, 202, 562)(143, 503, 212, 572, 220, 580, 210, 570)(145, 505, 214, 574, 290, 650, 215, 575)(147, 507, 216, 576, 293, 653, 217, 577)(149, 509, 219, 579, 297, 657, 218, 578)(153, 513, 225, 585, 300, 660, 226, 586)(163, 523, 236, 596, 181, 541, 237, 597)(166, 526, 240, 600, 307, 667, 239, 599)(167, 527, 175, 535, 249, 609, 238, 598)(171, 531, 246, 606, 268, 628, 244, 604)(172, 532, 245, 605, 312, 672, 247, 607)(174, 534, 250, 610, 203, 563, 248, 608)(176, 536, 252, 612, 294, 654, 253, 613)(179, 539, 255, 615, 318, 678, 254, 614)(182, 542, 256, 616, 281, 641, 207, 567)(183, 543, 258, 618, 314, 674, 259, 619)(185, 545, 260, 620, 291, 651, 261, 621)(187, 547, 263, 623, 322, 682, 262, 622)(195, 555, 271, 631, 289, 649, 213, 573)(197, 557, 274, 634, 329, 689, 272, 632)(198, 558, 273, 633, 330, 690, 275, 635)(206, 566, 283, 643, 276, 636, 282, 642)(209, 569, 285, 645, 336, 696, 286, 646)(223, 583, 288, 648, 295, 655, 298, 658)(224, 584, 231, 591, 267, 627, 287, 647)(228, 588, 301, 661, 342, 702, 302, 662)(232, 592, 304, 664, 280, 640, 266, 626)(235, 595, 306, 666, 346, 706, 305, 665)(241, 601, 309, 669, 315, 675, 251, 611)(243, 603, 310, 670, 348, 708, 311, 671)(257, 617, 284, 644, 335, 695, 319, 679)(265, 625, 324, 684, 356, 716, 323, 683)(270, 630, 326, 686, 350, 710, 313, 673)(279, 639, 334, 694, 328, 688, 333, 693)(292, 652, 321, 681, 354, 714, 332, 692)(296, 656, 340, 700, 331, 691, 316, 676)(299, 659, 341, 701, 344, 704, 303, 663)(308, 668, 347, 707, 359, 719, 343, 703)(317, 677, 352, 712, 349, 709, 325, 685)(320, 680, 345, 705, 360, 720, 353, 713)(327, 687, 357, 717, 351, 711, 339, 699)(337, 697, 338, 698, 355, 715, 358, 718)(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, 727)(3, 730)(4, 732)(5, 721)(6, 735)(7, 737)(8, 722)(9, 724)(10, 734)(11, 745)(12, 746)(13, 748)(14, 725)(15, 751)(16, 726)(17, 740)(18, 757)(19, 758)(20, 728)(21, 761)(22, 729)(23, 731)(24, 766)(25, 767)(26, 742)(27, 771)(28, 772)(29, 733)(30, 744)(31, 754)(32, 779)(33, 780)(34, 736)(35, 738)(36, 785)(37, 786)(38, 788)(39, 739)(40, 756)(41, 793)(42, 741)(43, 770)(44, 798)(45, 743)(46, 801)(47, 765)(48, 790)(49, 747)(50, 807)(51, 808)(52, 775)(53, 812)(54, 813)(55, 749)(56, 750)(57, 752)(58, 818)(59, 819)(60, 821)(61, 753)(62, 778)(63, 826)(64, 755)(65, 829)(66, 784)(67, 823)(68, 791)(69, 835)(70, 836)(71, 759)(72, 760)(73, 796)(74, 841)(75, 842)(76, 762)(77, 763)(78, 846)(79, 764)(80, 804)(81, 776)(82, 844)(83, 768)(84, 855)(85, 856)(86, 769)(87, 845)(88, 806)(89, 774)(90, 773)(91, 864)(92, 865)(93, 867)(94, 811)(95, 852)(96, 870)(97, 777)(98, 873)(99, 817)(100, 795)(101, 824)(102, 879)(103, 880)(104, 781)(105, 782)(106, 883)(107, 783)(108, 832)(109, 792)(110, 815)(111, 787)(112, 892)(113, 789)(114, 895)(115, 896)(116, 854)(117, 834)(118, 889)(119, 794)(120, 902)(121, 903)(122, 905)(123, 840)(124, 908)(125, 797)(126, 849)(127, 912)(128, 913)(129, 799)(130, 800)(131, 802)(132, 918)(133, 919)(134, 803)(135, 915)(136, 923)(137, 805)(138, 861)(139, 882)(140, 809)(141, 929)(142, 930)(143, 810)(144, 933)(145, 863)(146, 885)(147, 860)(148, 938)(149, 814)(150, 940)(151, 816)(152, 876)(153, 825)(154, 838)(155, 820)(156, 948)(157, 822)(158, 951)(159, 952)(160, 891)(161, 878)(162, 946)(163, 886)(164, 958)(165, 959)(166, 827)(167, 828)(168, 830)(169, 963)(170, 964)(171, 831)(172, 961)(173, 968)(174, 833)(175, 971)(176, 894)(177, 942)(178, 974)(179, 837)(180, 956)(181, 839)(182, 977)(183, 901)(184, 848)(185, 875)(186, 982)(187, 843)(188, 917)(189, 859)(190, 847)(191, 986)(192, 987)(193, 988)(194, 911)(195, 850)(196, 992)(197, 851)(198, 888)(199, 996)(200, 853)(201, 898)(202, 983)(203, 926)(204, 1001)(205, 1002)(206, 857)(207, 858)(208, 937)(209, 1004)(210, 941)(211, 862)(212, 935)(213, 869)(214, 866)(215, 1012)(216, 868)(217, 1015)(218, 1016)(219, 1009)(220, 943)(221, 1007)(222, 1018)(223, 871)(224, 872)(225, 874)(226, 985)(227, 981)(228, 1019)(229, 910)(230, 877)(231, 1023)(232, 950)(233, 925)(234, 1025)(235, 881)(236, 884)(237, 979)(238, 976)(239, 1011)(240, 957)(241, 887)(242, 995)(243, 945)(244, 989)(245, 890)(246, 954)(247, 939)(248, 924)(249, 893)(250, 973)(251, 899)(252, 897)(253, 1036)(254, 1037)(255, 1035)(256, 900)(257, 907)(258, 904)(259, 1040)(260, 906)(261, 1027)(262, 1041)(263, 1039)(264, 1043)(265, 909)(266, 1045)(267, 949)(268, 978)(269, 1033)(270, 914)(271, 922)(272, 1048)(273, 916)(274, 984)(275, 1046)(276, 999)(277, 1024)(278, 1053)(279, 920)(280, 921)(281, 969)(282, 997)(283, 970)(284, 927)(285, 928)(286, 1026)(287, 931)(288, 932)(289, 1059)(290, 980)(291, 934)(292, 1058)(293, 972)(294, 936)(295, 1057)(296, 1014)(297, 1032)(298, 1013)(299, 944)(300, 1031)(301, 947)(302, 975)(303, 955)(304, 953)(305, 1065)(306, 1064)(307, 1063)(308, 960)(309, 967)(310, 962)(311, 1067)(312, 1070)(313, 965)(314, 966)(315, 1071)(316, 1054)(317, 1000)(318, 1062)(319, 1047)(320, 1028)(321, 1010)(322, 998)(323, 1075)(324, 1020)(325, 990)(326, 1069)(327, 991)(328, 1051)(329, 1074)(330, 1060)(331, 993)(332, 994)(333, 1049)(334, 1003)(335, 1006)(336, 1078)(337, 1005)(338, 1008)(339, 1029)(340, 1017)(341, 1022)(342, 1079)(343, 1021)(344, 1077)(345, 1034)(346, 1056)(347, 1073)(348, 1072)(349, 1030)(350, 1050)(351, 1061)(352, 1038)(353, 1044)(354, 1042)(355, 1052)(356, 1080)(357, 1055)(358, 1076)(359, 1068)(360, 1066)(361, 1081)(362, 1082)(363, 1083)(364, 1084)(365, 1085)(366, 1086)(367, 1087)(368, 1088)(369, 1089)(370, 1090)(371, 1091)(372, 1092)(373, 1093)(374, 1094)(375, 1095)(376, 1096)(377, 1097)(378, 1098)(379, 1099)(380, 1100)(381, 1101)(382, 1102)(383, 1103)(384, 1104)(385, 1105)(386, 1106)(387, 1107)(388, 1108)(389, 1109)(390, 1110)(391, 1111)(392, 1112)(393, 1113)(394, 1114)(395, 1115)(396, 1116)(397, 1117)(398, 1118)(399, 1119)(400, 1120)(401, 1121)(402, 1122)(403, 1123)(404, 1124)(405, 1125)(406, 1126)(407, 1127)(408, 1128)(409, 1129)(410, 1130)(411, 1131)(412, 1132)(413, 1133)(414, 1134)(415, 1135)(416, 1136)(417, 1137)(418, 1138)(419, 1139)(420, 1140)(421, 1141)(422, 1142)(423, 1143)(424, 1144)(425, 1145)(426, 1146)(427, 1147)(428, 1148)(429, 1149)(430, 1150)(431, 1151)(432, 1152)(433, 1153)(434, 1154)(435, 1155)(436, 1156)(437, 1157)(438, 1158)(439, 1159)(440, 1160)(441, 1161)(442, 1162)(443, 1163)(444, 1164)(445, 1165)(446, 1166)(447, 1167)(448, 1168)(449, 1169)(450, 1170)(451, 1171)(452, 1172)(453, 1173)(454, 1174)(455, 1175)(456, 1176)(457, 1177)(458, 1178)(459, 1179)(460, 1180)(461, 1181)(462, 1182)(463, 1183)(464, 1184)(465, 1185)(466, 1186)(467, 1187)(468, 1188)(469, 1189)(470, 1190)(471, 1191)(472, 1192)(473, 1193)(474, 1194)(475, 1195)(476, 1196)(477, 1197)(478, 1198)(479, 1199)(480, 1200)(481, 1201)(482, 1202)(483, 1203)(484, 1204)(485, 1205)(486, 1206)(487, 1207)(488, 1208)(489, 1209)(490, 1210)(491, 1211)(492, 1212)(493, 1213)(494, 1214)(495, 1215)(496, 1216)(497, 1217)(498, 1218)(499, 1219)(500, 1220)(501, 1221)(502, 1222)(503, 1223)(504, 1224)(505, 1225)(506, 1226)(507, 1227)(508, 1228)(509, 1229)(510, 1230)(511, 1231)(512, 1232)(513, 1233)(514, 1234)(515, 1235)(516, 1236)(517, 1237)(518, 1238)(519, 1239)(520, 1240)(521, 1241)(522, 1242)(523, 1243)(524, 1244)(525, 1245)(526, 1246)(527, 1247)(528, 1248)(529, 1249)(530, 1250)(531, 1251)(532, 1252)(533, 1253)(534, 1254)(535, 1255)(536, 1256)(537, 1257)(538, 1258)(539, 1259)(540, 1260)(541, 1261)(542, 1262)(543, 1263)(544, 1264)(545, 1265)(546, 1266)(547, 1267)(548, 1268)(549, 1269)(550, 1270)(551, 1271)(552, 1272)(553, 1273)(554, 1274)(555, 1275)(556, 1276)(557, 1277)(558, 1278)(559, 1279)(560, 1280)(561, 1281)(562, 1282)(563, 1283)(564, 1284)(565, 1285)(566, 1286)(567, 1287)(568, 1288)(569, 1289)(570, 1290)(571, 1291)(572, 1292)(573, 1293)(574, 1294)(575, 1295)(576, 1296)(577, 1297)(578, 1298)(579, 1299)(580, 1300)(581, 1301)(582, 1302)(583, 1303)(584, 1304)(585, 1305)(586, 1306)(587, 1307)(588, 1308)(589, 1309)(590, 1310)(591, 1311)(592, 1312)(593, 1313)(594, 1314)(595, 1315)(596, 1316)(597, 1317)(598, 1318)(599, 1319)(600, 1320)(601, 1321)(602, 1322)(603, 1323)(604, 1324)(605, 1325)(606, 1326)(607, 1327)(608, 1328)(609, 1329)(610, 1330)(611, 1331)(612, 1332)(613, 1333)(614, 1334)(615, 1335)(616, 1336)(617, 1337)(618, 1338)(619, 1339)(620, 1340)(621, 1341)(622, 1342)(623, 1343)(624, 1344)(625, 1345)(626, 1346)(627, 1347)(628, 1348)(629, 1349)(630, 1350)(631, 1351)(632, 1352)(633, 1353)(634, 1354)(635, 1355)(636, 1356)(637, 1357)(638, 1358)(639, 1359)(640, 1360)(641, 1361)(642, 1362)(643, 1363)(644, 1364)(645, 1365)(646, 1366)(647, 1367)(648, 1368)(649, 1369)(650, 1370)(651, 1371)(652, 1372)(653, 1373)(654, 1374)(655, 1375)(656, 1376)(657, 1377)(658, 1378)(659, 1379)(660, 1380)(661, 1381)(662, 1382)(663, 1383)(664, 1384)(665, 1385)(666, 1386)(667, 1387)(668, 1388)(669, 1389)(670, 1390)(671, 1391)(672, 1392)(673, 1393)(674, 1394)(675, 1395)(676, 1396)(677, 1397)(678, 1398)(679, 1399)(680, 1400)(681, 1401)(682, 1402)(683, 1403)(684, 1404)(685, 1405)(686, 1406)(687, 1407)(688, 1408)(689, 1409)(690, 1410)(691, 1411)(692, 1412)(693, 1413)(694, 1414)(695, 1415)(696, 1416)(697, 1417)(698, 1418)(699, 1419)(700, 1420)(701, 1421)(702, 1422)(703, 1423)(704, 1424)(705, 1425)(706, 1426)(707, 1427)(708, 1428)(709, 1429)(710, 1430)(711, 1431)(712, 1432)(713, 1433)(714, 1434)(715, 1435)(716, 1436)(717, 1437)(718, 1438)(719, 1439)(720, 1440)
	local type(s) :: { ( 4, 10 ), ( 4, 10, 4, 10, 4, 10, 4, 10 ) }
Outer automorphisms :: reflexible
Dual of E10.977
Graph:: simple bipartite
	v = 450 e = 720 f = 252
	degree seq :: [ 2^360, 8^90 ]

E10.979 :: Family: { 2Pex } :: Oriented family(ies): { E1a }
Signature :: (0; {2, 3, 8})
Quotient :: halfedge
Aut^+ = (((C3 x C3) : Q8) : C3) : C2 (small group id <432, 734>)
Aut   = (((C3 x C3) : Q8) : C3) : C2 (small group id <432, 734>)
|r| :: 1
Presentation :: [ X2^2, (X1^-1 * X2)^3, X1^8, X2 * X1^2 * X2 * X1^-1 * X2 * X1^2 * X2 * X1^-3 * X2 * X1^4 * X2 * X1^-2, X2 * X1^3 * X2 * X1^-3 * X2 * X1^-3 * X2 * X1^2 * X2 * X1^4 ]
Map:: polyhedral non-degenerate
	R = (1, 2, 5, 11, 21, 20, 10, 4)(3, 7, 15, 27, 45, 31, 17, 8)(6, 13, 25, 41, 66, 44, 26, 14)(9, 18, 32, 52, 77, 49, 29, 16)(12, 23, 39, 62, 95, 65, 40, 24)(19, 34, 55, 85, 126, 84, 54, 33)(22, 37, 60, 91, 137, 94, 61, 38)(28, 47, 74, 111, 165, 114, 75, 48)(30, 50, 78, 117, 154, 103, 68, 42)(35, 57, 88, 131, 192, 130, 87, 56)(36, 58, 89, 133, 195, 136, 90, 59)(43, 69, 104, 155, 212, 145, 97, 63)(46, 72, 109, 161, 235, 164, 110, 73)(51, 80, 120, 177, 256, 176, 119, 79)(53, 82, 123, 181, 263, 184, 124, 83)(64, 98, 146, 213, 294, 203, 139, 92)(67, 101, 151, 219, 317, 222, 152, 102)(70, 106, 158, 229, 330, 228, 157, 105)(71, 107, 159, 231, 333, 234, 160, 108)(76, 115, 170, 247, 346, 243, 167, 112)(81, 121, 179, 259, 362, 262, 180, 122)(86, 128, 189, 273, 321, 276, 190, 129)(93, 140, 204, 295, 380, 285, 197, 134)(96, 143, 209, 301, 394, 304, 210, 144)(99, 148, 216, 311, 248, 310, 215, 147)(100, 149, 217, 313, 405, 316, 218, 150)(113, 168, 244, 347, 379, 339, 237, 162)(116, 172, 250, 351, 413, 350, 249, 171)(118, 174, 253, 354, 267, 357, 254, 175)(125, 185, 268, 367, 390, 365, 265, 182)(127, 187, 271, 334, 400, 307, 272, 188)(132, 135, 198, 286, 239, 341, 281, 194)(138, 201, 291, 385, 342, 240, 292, 202)(141, 206, 298, 258, 178, 233, 297, 205)(142, 207, 299, 236, 338, 393, 300, 208)(153, 223, 322, 412, 375, 410, 319, 220)(156, 226, 327, 245, 169, 246, 328, 227)(163, 238, 340, 407, 429, 388, 335, 232)(166, 241, 343, 421, 372, 408, 344, 242)(173, 251, 284, 196, 283, 378, 353, 252)(183, 266, 366, 386, 293, 387, 363, 260)(186, 270, 368, 423, 348, 415, 329, 269)(191, 277, 359, 404, 312, 392, 370, 274)(193, 279, 374, 414, 326, 225, 325, 280)(199, 288, 382, 332, 230, 315, 381, 287)(200, 289, 383, 318, 409, 427, 384, 290)(211, 305, 397, 369, 275, 371, 396, 302)(214, 308, 401, 323, 224, 324, 402, 309)(221, 320, 411, 430, 420, 426, 406, 314)(255, 358, 278, 373, 416, 428, 424, 355)(257, 360, 418, 331, 417, 349, 403, 361)(261, 296, 389, 336, 398, 306, 399, 352)(264, 364, 425, 432, 419, 337, 391, 303)(282, 376, 356, 395, 431, 422, 345, 377)
	L = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 13)(10, 19)(11, 22)(14, 23)(15, 28)(17, 30)(18, 33)(20, 35)(21, 36)(24, 37)(25, 42)(26, 43)(27, 46)(29, 47)(31, 51)(32, 53)(34, 56)(38, 58)(39, 63)(40, 64)(41, 67)(44, 70)(45, 71)(48, 72)(49, 76)(50, 79)(52, 81)(54, 82)(55, 86)(57, 59)(60, 92)(61, 93)(62, 96)(65, 99)(66, 100)(68, 101)(69, 105)(73, 107)(74, 112)(75, 113)(77, 116)(78, 118)(80, 108)(83, 121)(84, 125)(85, 127)(87, 128)(88, 132)(89, 134)(90, 135)(91, 138)(94, 141)(95, 142)(97, 143)(98, 147)(102, 149)(103, 153)(104, 156)(106, 150)(109, 162)(110, 163)(111, 166)(114, 169)(115, 171)(117, 173)(119, 174)(120, 178)(122, 172)(123, 182)(124, 183)(126, 186)(129, 187)(130, 191)(131, 193)(133, 196)(136, 199)(137, 200)(139, 201)(140, 205)(144, 207)(145, 211)(146, 214)(148, 208)(151, 220)(152, 221)(154, 224)(155, 225)(157, 226)(158, 230)(159, 232)(160, 233)(161, 236)(164, 239)(165, 240)(167, 241)(168, 245)(170, 248)(175, 251)(176, 255)(177, 257)(179, 260)(180, 261)(181, 264)(184, 267)(185, 269)(188, 270)(189, 274)(190, 275)(192, 278)(194, 279)(195, 282)(197, 283)(198, 287)(202, 289)(203, 293)(204, 296)(206, 290)(209, 302)(210, 303)(212, 306)(213, 307)(215, 308)(216, 312)(217, 314)(218, 315)(219, 318)(222, 321)(223, 323)(227, 325)(228, 329)(229, 331)(231, 334)(234, 336)(235, 337)(237, 338)(238, 286)(242, 292)(243, 345)(244, 348)(246, 342)(247, 349)(249, 310)(250, 352)(252, 324)(253, 355)(254, 356)(256, 359)(258, 360)(259, 313)(262, 295)(263, 304)(265, 364)(266, 354)(268, 330)(271, 369)(272, 309)(273, 320)(276, 372)(277, 358)(280, 373)(281, 375)(284, 376)(285, 379)(288, 377)(291, 386)(294, 388)(297, 389)(298, 390)(299, 391)(300, 392)(301, 395)(305, 398)(311, 403)(316, 407)(317, 408)(319, 409)(322, 413)(326, 399)(327, 415)(328, 416)(332, 417)(333, 397)(335, 400)(339, 420)(340, 381)(341, 419)(343, 422)(344, 383)(346, 382)(347, 378)(350, 401)(351, 414)(353, 423)(357, 394)(361, 404)(362, 406)(363, 405)(365, 384)(366, 424)(367, 418)(368, 402)(370, 411)(371, 421)(374, 412)(380, 426)(385, 428)(387, 429)(393, 430)(396, 431)(410, 432)(425, 427)
	local type(s) :: { ( 3^8 ) }
Outer automorphisms :: chiral
Dual of E10.980
Transitivity :: ET+ VT+ AT+ REG+
Graph:: simple
	v = 54 e = 216 f = 144
	degree seq :: [ 8^54 ]

E10.980 :: Family: { 2Pex } :: Oriented family(ies): { E1a }
Signature :: (0; {2, 3, 8})
Quotient :: halfedge
Aut^+ = (((C3 x C3) : Q8) : C3) : C2 (small group id <432, 734>)
Aut   = (((C3 x C3) : Q8) : C3) : C2 (small group id <432, 734>)
|r| :: 1
Presentation :: [ X2^2, X1^3, (X1^-1 * X2)^8, (X2 * X1 * X2 * X1^-1)^6, X2 * X1 * X2 * X1^-1 * X2 * X1^-1 * X2 * X1 * X2 * X1^-1 * X2 * X1^-1 * X2 * X1 * X2 * X1 * X2 * X1^-1 * X2 * X1 * X2 * X1 * X2 * X1^-1, X2 * X1 * X2 * X1 * X2 * X1 * X2 * X1^-1 * X2 * X1 * X2 * X1^-1 * X2 * X1 * X2 * X1 * X2 * X1^-1 * X2 * X1^-1 * X2 * X1 * X2 * X1 * X2 * X1 * X2 * X1^-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, 86)(61, 87, 88)(62, 89, 90)(63, 91, 92)(64, 93, 94)(65, 95, 96)(66, 97, 75)(76, 105, 106)(77, 107, 108)(78, 109, 110)(79, 111, 112)(80, 113, 114)(81, 115, 116)(82, 117, 98)(99, 132, 133)(100, 134, 135)(101, 136, 137)(102, 138, 139)(103, 140, 141)(104, 142, 143)(118, 234, 224)(119, 236, 389)(120, 158, 200)(121, 231, 384)(122, 239, 316)(123, 240, 278)(124, 203, 125)(126, 244, 393)(127, 246, 399)(128, 145, 268)(129, 248, 354)(130, 218, 285)(131, 250, 258)(144, 265, 263)(146, 271, 274)(147, 275, 230)(148, 277, 267)(149, 280, 282)(150, 283, 270)(151, 286, 287)(152, 252, 273)(153, 289, 256)(154, 291, 293)(155, 205, 279)(156, 295, 207)(157, 297, 298)(159, 301, 303)(160, 304, 222)(161, 306, 307)(162, 216, 188)(163, 309, 311)(164, 181, 288)(165, 313, 183)(166, 315, 300)(167, 189, 199)(168, 319, 320)(169, 192, 294)(170, 322, 194)(171, 324, 308)(172, 326, 327)(173, 249, 177)(174, 329, 331)(175, 178, 238)(176, 333, 334)(179, 335, 318)(180, 245, 338)(182, 339, 341)(184, 342, 343)(185, 210, 312)(186, 345, 212)(187, 347, 328)(190, 225, 223)(191, 351, 352)(193, 353, 355)(195, 349, 344)(196, 229, 321)(197, 356, 233)(198, 330, 314)(201, 359, 325)(202, 259, 257)(204, 214, 362)(206, 253, 219)(208, 232, 337)(209, 365, 366)(211, 367, 254)(213, 262, 332)(215, 340, 323)(217, 370, 336)(220, 264, 373)(221, 292, 284)(226, 377, 378)(227, 380, 381)(228, 382, 383)(235, 387, 361)(237, 310, 296)(241, 395, 348)(242, 396, 364)(243, 305, 317)(247, 363, 346)(251, 386, 350)(255, 281, 272)(260, 404, 405)(261, 406, 388)(266, 269, 276)(290, 299, 302)(357, 371, 372)(358, 374, 423)(360, 385, 394)(368, 379, 401)(369, 402, 425)(375, 376, 422)(390, 416, 431)(391, 415, 410)(392, 414, 420)(397, 432, 430)(398, 411, 427)(400, 424, 403)(407, 428, 418)(408, 426, 421)(409, 412, 429)(413, 419, 417)
	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, 98)(68, 99)(69, 100)(70, 101)(71, 102)(72, 103)(73, 104)(74, 83)(84, 118)(85, 119)(86, 120)(87, 121)(88, 122)(89, 123)(90, 124)(91, 125)(92, 126)(93, 127)(94, 128)(95, 129)(96, 130)(97, 131)(105, 209)(106, 188)(107, 220)(108, 201)(109, 221)(110, 223)(111, 225)(112, 226)(113, 228)(114, 230)(115, 157)(116, 152)(117, 232)(132, 227)(133, 199)(134, 254)(135, 217)(136, 255)(137, 257)(138, 259)(139, 260)(140, 261)(141, 263)(142, 161)(143, 155)(144, 266)(145, 269)(146, 272)(147, 276)(148, 278)(149, 281)(150, 284)(151, 240)(153, 290)(154, 292)(156, 296)(158, 299)(159, 302)(160, 305)(162, 237)(163, 310)(164, 258)(165, 314)(166, 262)(167, 317)(168, 243)(169, 208)(170, 323)(171, 210)(172, 250)(173, 198)(174, 330)(175, 332)(176, 213)(177, 224)(178, 328)(179, 229)(180, 337)(181, 215)(182, 340)(183, 312)(184, 185)(186, 346)(187, 192)(189, 308)(190, 349)(191, 234)(193, 347)(194, 321)(195, 196)(197, 357)(200, 318)(202, 333)(203, 342)(204, 343)(205, 247)(206, 363)(207, 294)(211, 324)(212, 344)(214, 368)(216, 300)(218, 371)(219, 372)(222, 249)(231, 335)(233, 334)(235, 388)(236, 390)(238, 393)(239, 394)(241, 389)(242, 319)(244, 397)(245, 398)(246, 355)(248, 396)(251, 399)(252, 379)(253, 401)(256, 288)(264, 315)(265, 403)(267, 273)(268, 364)(270, 279)(271, 408)(274, 285)(275, 375)(277, 411)(280, 413)(282, 316)(283, 407)(286, 417)(287, 325)(289, 410)(291, 419)(293, 336)(295, 412)(297, 422)(298, 348)(301, 376)(303, 350)(304, 416)(306, 424)(307, 358)(309, 400)(311, 360)(313, 378)(320, 361)(322, 405)(326, 421)(327, 392)(329, 426)(331, 382)(338, 420)(339, 427)(341, 406)(345, 425)(351, 418)(352, 414)(353, 428)(354, 369)(356, 395)(359, 387)(362, 423)(365, 415)(366, 374)(367, 391)(370, 386)(373, 431)(377, 432)(380, 409)(381, 402)(383, 385)(384, 429)(404, 430)
	local type(s) :: { ( 8^3 ) }
Outer automorphisms :: chiral
Dual of E10.979
Transitivity :: ET+ VT+ AT+ REG+
Graph:: simple bipartite
	v = 144 e = 216 f = 54
	degree seq :: [ 3^144 ]

E10.981 :: Family: { 5 } :: Oriented family(ies): { E3a }
Signature :: (0; {2, 3, 8})
Quotient :: edge
Aut^+ = (((C3 x C3) : Q8) : C3) : C2 (small group id <432, 734>)
Aut   = (((C3 x C3) : Q8) : C3) : C2 (small group id <432, 734>)
|r| :: 1
Presentation :: [ X1^2, X2^3, (X2^-1 * X1)^8, (X1 * X2 * X1 * X2^-1)^6, X1 * X2 * X1 * X2^-1 * X1 * X2^-1 * X1 * X2 * X1 * X2^-1 * X1 * X2^-1 * X1 * X2 * X1 * X2 * X1 * X2^-1 * X1 * X2 * X1 * X2 * X1 * X2^-1 ]
Map:: polytopal
	R = (1, 2)(3, 7)(4, 8)(5, 9)(6, 10)(11, 19)(12, 20)(13, 21)(14, 22)(15, 23)(16, 24)(17, 25)(18, 26)(27, 43)(28, 44)(29, 45)(30, 46)(31, 47)(32, 48)(33, 49)(34, 50)(35, 51)(36, 52)(37, 53)(38, 54)(39, 55)(40, 56)(41, 57)(42, 58)(59, 90)(60, 91)(61, 92)(62, 93)(63, 94)(64, 95)(65, 96)(66, 97)(67, 98)(68, 99)(69, 100)(70, 101)(71, 102)(72, 103)(73, 104)(74, 75)(76, 105)(77, 106)(78, 107)(79, 108)(80, 109)(81, 110)(82, 111)(83, 112)(84, 113)(85, 114)(86, 115)(87, 116)(88, 117)(89, 118)(119, 244)(120, 246)(121, 178)(122, 248)(123, 249)(124, 186)(125, 156)(126, 228)(127, 253)(128, 254)(129, 256)(130, 258)(131, 259)(132, 260)(133, 262)(134, 197)(135, 264)(136, 265)(137, 167)(138, 149)(139, 269)(140, 235)(141, 270)(142, 272)(143, 274)(144, 275)(145, 277)(146, 279)(147, 238)(148, 282)(150, 285)(151, 287)(152, 289)(153, 291)(154, 293)(155, 295)(157, 297)(158, 298)(159, 227)(160, 300)(161, 302)(162, 304)(163, 306)(164, 308)(165, 247)(166, 310)(168, 312)(169, 313)(170, 241)(171, 315)(172, 225)(173, 317)(174, 318)(175, 320)(176, 221)(177, 257)(179, 322)(180, 323)(181, 263)(182, 324)(183, 325)(184, 206)(185, 327)(187, 329)(188, 331)(189, 332)(190, 195)(191, 334)(192, 336)(193, 338)(194, 340)(196, 273)(198, 344)(199, 346)(200, 330)(201, 215)(202, 211)(203, 351)(204, 352)(205, 354)(207, 236)(208, 358)(209, 350)(210, 230)(212, 362)(213, 363)(214, 364)(216, 366)(217, 368)(218, 370)(219, 240)(220, 239)(222, 372)(223, 301)(224, 365)(226, 376)(229, 361)(231, 335)(232, 252)(233, 380)(234, 266)(237, 381)(242, 305)(243, 371)(245, 375)(250, 284)(251, 392)(255, 341)(261, 387)(267, 379)(268, 343)(271, 348)(276, 409)(278, 414)(280, 417)(281, 377)(283, 420)(286, 423)(288, 427)(290, 398)(292, 429)(294, 424)(296, 411)(299, 395)(303, 397)(307, 407)(309, 393)(311, 394)(314, 405)(316, 382)(319, 369)(321, 410)(326, 359)(328, 360)(333, 345)(337, 347)(339, 353)(342, 418)(349, 419)(355, 428)(356, 421)(357, 383)(367, 391)(373, 402)(374, 430)(378, 400)(384, 426)(385, 431)(386, 425)(388, 415)(389, 403)(390, 396)(399, 432)(401, 406)(404, 412)(408, 413)(416, 422)(433, 435, 436)(434, 437, 438)(439, 443, 444)(440, 445, 446)(441, 447, 448)(442, 449, 450)(451, 459, 460)(452, 461, 462)(453, 463, 464)(454, 465, 466)(455, 467, 468)(456, 469, 470)(457, 471, 472)(458, 473, 474)(475, 491, 492)(476, 493, 494)(477, 495, 496)(478, 497, 498)(479, 499, 500)(480, 501, 502)(481, 503, 504)(482, 505, 506)(483, 507, 508)(484, 509, 510)(485, 511, 512)(486, 513, 514)(487, 515, 516)(488, 517, 518)(489, 519, 520)(490, 521, 522)(523, 551, 552)(524, 553, 554)(525, 555, 556)(526, 557, 558)(527, 559, 560)(528, 561, 562)(529, 563, 530)(531, 564, 565)(532, 566, 567)(533, 568, 569)(534, 570, 571)(535, 572, 573)(536, 574, 575)(537, 655, 806)(538, 657, 807)(539, 658, 768)(540, 659, 796)(541, 661, 726)(542, 663, 810)(543, 614, 544)(545, 632, 780)(546, 668, 628)(547, 669, 738)(548, 670, 814)(549, 672, 751)(550, 674, 817)(576, 585, 584)(577, 583, 582)(578, 593, 592)(579, 595, 594)(580, 597, 596)(581, 599, 598)(586, 613, 612)(587, 616, 615)(588, 618, 617)(589, 620, 619)(590, 622, 621)(591, 624, 623)(600, 645, 644)(601, 647, 646)(602, 649, 648)(603, 651, 650)(604, 653, 652)(605, 636, 654)(606, 656, 635)(607, 662, 660)(608, 665, 664)(609, 667, 666)(610, 673, 671)(611, 625, 675)(626, 773, 701)(627, 760, 775)(629, 749, 764)(630, 631, 777)(633, 743, 782)(634, 685, 716)(637, 787, 748)(638, 769, 789)(639, 754, 757)(640, 641, 791)(642, 739, 778)(643, 793, 713)(676, 730, 819)(677, 820, 731)(678, 758, 800)(679, 801, 821)(680, 822, 728)(681, 823, 815)(682, 776, 740)(683, 684, 825)(686, 818, 723)(687, 724, 750)(688, 707, 827)(689, 828, 708)(690, 763, 771)(691, 830, 831)(692, 745, 786)(693, 788, 746)(694, 741, 784)(695, 785, 832)(696, 833, 715)(697, 834, 835)(698, 783, 755)(699, 700, 808)(702, 836, 734)(703, 735, 770)(704, 711, 837)(705, 838, 712)(706, 795, 779)(709, 843, 767)(710, 747, 847)(714, 842, 737)(717, 852, 799)(718, 729, 853)(719, 856, 805)(720, 744, 860)(721, 849, 811)(722, 725, 850)(727, 851, 733)(732, 809, 790)(736, 841, 824)(742, 846, 854)(752, 772, 762)(753, 781, 774)(756, 855, 858)(759, 859, 845)(761, 802, 794)(765, 812, 862)(766, 861, 840)(792, 863, 797)(798, 829, 848)(803, 826, 864)(804, 839, 816)(813, 857, 844)
	L = (1, 433)(2, 434)(3, 435)(4, 436)(5, 437)(6, 438)(7, 439)(8, 440)(9, 441)(10, 442)(11, 443)(12, 444)(13, 445)(14, 446)(15, 447)(16, 448)(17, 449)(18, 450)(19, 451)(20, 452)(21, 453)(22, 454)(23, 455)(24, 456)(25, 457)(26, 458)(27, 459)(28, 460)(29, 461)(30, 462)(31, 463)(32, 464)(33, 465)(34, 466)(35, 467)(36, 468)(37, 469)(38, 470)(39, 471)(40, 472)(41, 473)(42, 474)(43, 475)(44, 476)(45, 477)(46, 478)(47, 479)(48, 480)(49, 481)(50, 482)(51, 483)(52, 484)(53, 485)(54, 486)(55, 487)(56, 488)(57, 489)(58, 490)(59, 491)(60, 492)(61, 493)(62, 494)(63, 495)(64, 496)(65, 497)(66, 498)(67, 499)(68, 500)(69, 501)(70, 502)(71, 503)(72, 504)(73, 505)(74, 506)(75, 507)(76, 508)(77, 509)(78, 510)(79, 511)(80, 512)(81, 513)(82, 514)(83, 515)(84, 516)(85, 517)(86, 518)(87, 519)(88, 520)(89, 521)(90, 522)(91, 523)(92, 524)(93, 525)(94, 526)(95, 527)(96, 528)(97, 529)(98, 530)(99, 531)(100, 532)(101, 533)(102, 534)(103, 535)(104, 536)(105, 537)(106, 538)(107, 539)(108, 540)(109, 541)(110, 542)(111, 543)(112, 544)(113, 545)(114, 546)(115, 547)(116, 548)(117, 549)(118, 550)(119, 551)(120, 552)(121, 553)(122, 554)(123, 555)(124, 556)(125, 557)(126, 558)(127, 559)(128, 560)(129, 561)(130, 562)(131, 563)(132, 564)(133, 565)(134, 566)(135, 567)(136, 568)(137, 569)(138, 570)(139, 571)(140, 572)(141, 573)(142, 574)(143, 575)(144, 576)(145, 577)(146, 578)(147, 579)(148, 580)(149, 581)(150, 582)(151, 583)(152, 584)(153, 585)(154, 586)(155, 587)(156, 588)(157, 589)(158, 590)(159, 591)(160, 592)(161, 593)(162, 594)(163, 595)(164, 596)(165, 597)(166, 598)(167, 599)(168, 600)(169, 601)(170, 602)(171, 603)(172, 604)(173, 605)(174, 606)(175, 607)(176, 608)(177, 609)(178, 610)(179, 611)(180, 612)(181, 613)(182, 614)(183, 615)(184, 616)(185, 617)(186, 618)(187, 619)(188, 620)(189, 621)(190, 622)(191, 623)(192, 624)(193, 625)(194, 626)(195, 627)(196, 628)(197, 629)(198, 630)(199, 631)(200, 632)(201, 633)(202, 634)(203, 635)(204, 636)(205, 637)(206, 638)(207, 639)(208, 640)(209, 641)(210, 642)(211, 643)(212, 644)(213, 645)(214, 646)(215, 647)(216, 648)(217, 649)(218, 650)(219, 651)(220, 652)(221, 653)(222, 654)(223, 655)(224, 656)(225, 657)(226, 658)(227, 659)(228, 660)(229, 661)(230, 662)(231, 663)(232, 664)(233, 665)(234, 666)(235, 667)(236, 668)(237, 669)(238, 670)(239, 671)(240, 672)(241, 673)(242, 674)(243, 675)(244, 676)(245, 677)(246, 678)(247, 679)(248, 680)(249, 681)(250, 682)(251, 683)(252, 684)(253, 685)(254, 686)(255, 687)(256, 688)(257, 689)(258, 690)(259, 691)(260, 692)(261, 693)(262, 694)(263, 695)(264, 696)(265, 697)(266, 698)(267, 699)(268, 700)(269, 701)(270, 702)(271, 703)(272, 704)(273, 705)(274, 706)(275, 707)(276, 708)(277, 709)(278, 710)(279, 711)(280, 712)(281, 713)(282, 714)(283, 715)(284, 716)(285, 717)(286, 718)(287, 719)(288, 720)(289, 721)(290, 722)(291, 723)(292, 724)(293, 725)(294, 726)(295, 727)(296, 728)(297, 729)(298, 730)(299, 731)(300, 732)(301, 733)(302, 734)(303, 735)(304, 736)(305, 737)(306, 738)(307, 739)(308, 740)(309, 741)(310, 742)(311, 743)(312, 744)(313, 745)(314, 746)(315, 747)(316, 748)(317, 749)(318, 750)(319, 751)(320, 752)(321, 753)(322, 754)(323, 755)(324, 756)(325, 757)(326, 758)(327, 759)(328, 760)(329, 761)(330, 762)(331, 763)(332, 764)(333, 765)(334, 766)(335, 767)(336, 768)(337, 769)(338, 770)(339, 771)(340, 772)(341, 773)(342, 774)(343, 775)(344, 776)(345, 777)(346, 778)(347, 779)(348, 780)(349, 781)(350, 782)(351, 783)(352, 784)(353, 785)(354, 786)(355, 787)(356, 788)(357, 789)(358, 790)(359, 791)(360, 792)(361, 793)(362, 794)(363, 795)(364, 796)(365, 797)(366, 798)(367, 799)(368, 800)(369, 801)(370, 802)(371, 803)(372, 804)(373, 805)(374, 806)(375, 807)(376, 808)(377, 809)(378, 810)(379, 811)(380, 812)(381, 813)(382, 814)(383, 815)(384, 816)(385, 817)(386, 818)(387, 819)(388, 820)(389, 821)(390, 822)(391, 823)(392, 824)(393, 825)(394, 826)(395, 827)(396, 828)(397, 829)(398, 830)(399, 831)(400, 832)(401, 833)(402, 834)(403, 835)(404, 836)(405, 837)(406, 838)(407, 839)(408, 840)(409, 841)(410, 842)(411, 843)(412, 844)(413, 845)(414, 846)(415, 847)(416, 848)(417, 849)(418, 850)(419, 851)(420, 852)(421, 853)(422, 854)(423, 855)(424, 856)(425, 857)(426, 858)(427, 859)(428, 860)(429, 861)(430, 862)(431, 863)(432, 864)
	local type(s) :: { ( 16, 16 ), ( 16^3 ) }
Outer automorphisms :: chiral
Dual of E10.986
Transitivity :: ET+
Graph:: simple bipartite
	v = 360 e = 432 f = 54
	degree seq :: [ 2^216, 3^144 ]

E10.982 :: Family: { 5 } :: Oriented family(ies): { E3a }
Signature :: (0; {2, 3, 8})
Quotient :: edge
Aut^+ = (((C3 x C3) : Q8) : C3) : C2 (small group id <432, 734>)
Aut   = (((C3 x C3) : Q8) : C3) : C2 (small group id <432, 734>)
|r| :: 1
Presentation :: [ X1^3, (X2 * X1)^2, X2^8, X2 * X1 * X2^3 * X1 * X2 * X1^-1 * X2 * X1^-1, X2^-1 * X1^-1 * X2^2 * X1^-1 * X2^3 * X1 * X2^-2 * X1 * X2^-3 * X1 * X2^-1, (X2^-1 * X1 * X2^-1)^6 ]
Map:: polyhedral non-degenerate
	R = (1, 2, 4)(3, 8, 10)(5, 12, 6)(7, 15, 11)(9, 18, 20)(13, 25, 23)(14, 24, 28)(16, 31, 29)(17, 33, 21)(19, 36, 38)(22, 30, 42)(26, 47, 45)(27, 48, 50)(32, 56, 54)(34, 59, 57)(35, 61, 39)(37, 64, 65)(40, 58, 69)(41, 70, 71)(43, 46, 74)(44, 75, 51)(49, 81, 82)(52, 55, 86)(53, 87, 72)(60, 96, 94)(62, 99, 97)(63, 101, 66)(67, 98, 107)(68, 108, 109)(73, 114, 116)(76, 120, 118)(77, 79, 122)(78, 123, 117)(80, 126, 83)(84, 119, 132)(85, 133, 135)(88, 139, 137)(89, 91, 141)(90, 142, 136)(92, 95, 146)(93, 147, 110)(100, 156, 154)(102, 159, 157)(103, 161, 104)(105, 158, 165)(106, 166, 167)(111, 172, 112)(113, 138, 176)(115, 178, 179)(121, 185, 187)(124, 191, 189)(125, 192, 188)(127, 196, 194)(128, 198, 129)(130, 195, 202)(131, 203, 204)(134, 207, 208)(140, 214, 216)(143, 220, 218)(144, 221, 217)(145, 223, 225)(148, 229, 227)(149, 151, 231)(150, 232, 226)(152, 155, 236)(153, 237, 168)(160, 246, 244)(162, 249, 247)(163, 248, 252)(164, 253, 254)(169, 259, 170)(171, 228, 263)(173, 266, 264)(174, 265, 269)(175, 270, 271)(177, 273, 180)(181, 190, 279)(182, 184, 281)(183, 282, 205)(186, 286, 287)(193, 295, 293)(197, 300, 298)(199, 303, 301)(200, 302, 306)(201, 261, 307)(206, 311, 209)(210, 219, 316)(211, 213, 318)(212, 319, 272)(215, 323, 324)(222, 329, 327)(224, 331, 332)(230, 335, 337)(233, 290, 292)(234, 340, 338)(235, 342, 344)(238, 347, 345)(239, 241, 349)(240, 284, 321)(242, 245, 328)(243, 352, 255)(250, 360, 358)(251, 361, 362)(256, 309, 257)(258, 346, 326)(260, 278, 366)(262, 368, 312)(267, 373, 372)(268, 277, 374)(274, 315, 377)(275, 379, 276)(280, 383, 385)(283, 387, 386)(285, 388, 288)(289, 294, 370)(291, 376, 382)(296, 299, 339)(297, 397, 308)(304, 403, 402)(305, 392, 404)(310, 369, 334)(313, 408, 314)(317, 410, 412)(320, 414, 413)(322, 415, 325)(330, 421, 333)(336, 418, 393)(341, 429, 428)(343, 405, 401)(348, 417, 416)(350, 430, 395)(351, 420, 380)(353, 432, 398)(354, 355, 394)(356, 359, 400)(357, 411, 363)(364, 396, 427)(365, 419, 399)(367, 407, 378)(371, 431, 375)(381, 423, 422)(384, 426, 425)(389, 406, 424)(390, 409, 391)(433, 435, 441, 451, 469, 458, 445, 437)(434, 438, 446, 459, 481, 464, 448, 439)(436, 443, 454, 473, 492, 466, 449, 440)(442, 453, 472, 500, 532, 494, 467, 450)(444, 455, 475, 505, 547, 508, 476, 456)(447, 461, 484, 517, 566, 520, 485, 462)(452, 471, 499, 538, 592, 534, 495, 468)(457, 477, 509, 553, 618, 556, 510, 478)(460, 483, 516, 563, 629, 559, 512, 480)(463, 486, 521, 572, 647, 575, 522, 487)(465, 489, 524, 577, 656, 580, 525, 490)(470, 498, 537, 596, 682, 594, 535, 496)(474, 504, 545, 607, 699, 605, 543, 502)(479, 497, 536, 595, 683, 625, 557, 511)(482, 515, 562, 633, 736, 631, 560, 513)(488, 514, 561, 632, 737, 654, 576, 523)(491, 526, 581, 662, 768, 665, 582, 527)(493, 529, 584, 667, 775, 670, 585, 530)(501, 542, 603, 694, 799, 692, 601, 540)(503, 544, 606, 700, 773, 666, 583, 528)(506, 549, 613, 710, 810, 706, 609, 546)(507, 550, 614, 712, 816, 715, 615, 551)(518, 568, 642, 747, 839, 744, 638, 565)(519, 569, 643, 749, 843, 752, 644, 570)(531, 586, 671, 780, 815, 713, 672, 587)(533, 589, 674, 783, 863, 785, 675, 590)(539, 600, 690, 797, 732, 636, 688, 598)(541, 602, 693, 634, 740, 782, 673, 588)(548, 612, 709, 701, 807, 812, 707, 610)(552, 611, 708, 813, 842, 750, 716, 616)(554, 620, 721, 698, 804, 821, 717, 617)(555, 621, 722, 825, 847, 826, 723, 622)(558, 626, 728, 828, 784, 830, 729, 627)(564, 637, 742, 838, 805, 703, 741, 635)(567, 641, 685, 597, 687, 796, 745, 639)(571, 640, 746, 841, 774, 668, 753, 645)(573, 649, 677, 591, 676, 786, 754, 646)(574, 650, 727, 794, 853, 851, 758, 651)(578, 658, 731, 628, 730, 831, 762, 655)(579, 659, 761, 836, 820, 856, 766, 660)(593, 679, 788, 735, 834, 846, 789, 680)(599, 689, 702, 608, 704, 808, 787, 678)(604, 696, 802, 862, 829, 864, 803, 697)(619, 720, 824, 738, 837, 776, 822, 718)(623, 719, 823, 840, 859, 771, 664, 724)(624, 725, 652, 756, 849, 781, 827, 726)(630, 733, 832, 772, 860, 779, 833, 734)(648, 757, 850, 769, 858, 817, 848, 755)(653, 759, 661, 764, 855, 811, 852, 760)(657, 765, 793, 684, 795, 844, 854, 763)(663, 770, 791, 681, 790, 819, 857, 767)(669, 777, 861, 806, 705, 809, 748, 778)(686, 743, 800, 695, 801, 714, 818, 792)(691, 798, 711, 814, 751, 845, 835, 739)
	L = (1, 433)(2, 434)(3, 435)(4, 436)(5, 437)(6, 438)(7, 439)(8, 440)(9, 441)(10, 442)(11, 443)(12, 444)(13, 445)(14, 446)(15, 447)(16, 448)(17, 449)(18, 450)(19, 451)(20, 452)(21, 453)(22, 454)(23, 455)(24, 456)(25, 457)(26, 458)(27, 459)(28, 460)(29, 461)(30, 462)(31, 463)(32, 464)(33, 465)(34, 466)(35, 467)(36, 468)(37, 469)(38, 470)(39, 471)(40, 472)(41, 473)(42, 474)(43, 475)(44, 476)(45, 477)(46, 478)(47, 479)(48, 480)(49, 481)(50, 482)(51, 483)(52, 484)(53, 485)(54, 486)(55, 487)(56, 488)(57, 489)(58, 490)(59, 491)(60, 492)(61, 493)(62, 494)(63, 495)(64, 496)(65, 497)(66, 498)(67, 499)(68, 500)(69, 501)(70, 502)(71, 503)(72, 504)(73, 505)(74, 506)(75, 507)(76, 508)(77, 509)(78, 510)(79, 511)(80, 512)(81, 513)(82, 514)(83, 515)(84, 516)(85, 517)(86, 518)(87, 519)(88, 520)(89, 521)(90, 522)(91, 523)(92, 524)(93, 525)(94, 526)(95, 527)(96, 528)(97, 529)(98, 530)(99, 531)(100, 532)(101, 533)(102, 534)(103, 535)(104, 536)(105, 537)(106, 538)(107, 539)(108, 540)(109, 541)(110, 542)(111, 543)(112, 544)(113, 545)(114, 546)(115, 547)(116, 548)(117, 549)(118, 550)(119, 551)(120, 552)(121, 553)(122, 554)(123, 555)(124, 556)(125, 557)(126, 558)(127, 559)(128, 560)(129, 561)(130, 562)(131, 563)(132, 564)(133, 565)(134, 566)(135, 567)(136, 568)(137, 569)(138, 570)(139, 571)(140, 572)(141, 573)(142, 574)(143, 575)(144, 576)(145, 577)(146, 578)(147, 579)(148, 580)(149, 581)(150, 582)(151, 583)(152, 584)(153, 585)(154, 586)(155, 587)(156, 588)(157, 589)(158, 590)(159, 591)(160, 592)(161, 593)(162, 594)(163, 595)(164, 596)(165, 597)(166, 598)(167, 599)(168, 600)(169, 601)(170, 602)(171, 603)(172, 604)(173, 605)(174, 606)(175, 607)(176, 608)(177, 609)(178, 610)(179, 611)(180, 612)(181, 613)(182, 614)(183, 615)(184, 616)(185, 617)(186, 618)(187, 619)(188, 620)(189, 621)(190, 622)(191, 623)(192, 624)(193, 625)(194, 626)(195, 627)(196, 628)(197, 629)(198, 630)(199, 631)(200, 632)(201, 633)(202, 634)(203, 635)(204, 636)(205, 637)(206, 638)(207, 639)(208, 640)(209, 641)(210, 642)(211, 643)(212, 644)(213, 645)(214, 646)(215, 647)(216, 648)(217, 649)(218, 650)(219, 651)(220, 652)(221, 653)(222, 654)(223, 655)(224, 656)(225, 657)(226, 658)(227, 659)(228, 660)(229, 661)(230, 662)(231, 663)(232, 664)(233, 665)(234, 666)(235, 667)(236, 668)(237, 669)(238, 670)(239, 671)(240, 672)(241, 673)(242, 674)(243, 675)(244, 676)(245, 677)(246, 678)(247, 679)(248, 680)(249, 681)(250, 682)(251, 683)(252, 684)(253, 685)(254, 686)(255, 687)(256, 688)(257, 689)(258, 690)(259, 691)(260, 692)(261, 693)(262, 694)(263, 695)(264, 696)(265, 697)(266, 698)(267, 699)(268, 700)(269, 701)(270, 702)(271, 703)(272, 704)(273, 705)(274, 706)(275, 707)(276, 708)(277, 709)(278, 710)(279, 711)(280, 712)(281, 713)(282, 714)(283, 715)(284, 716)(285, 717)(286, 718)(287, 719)(288, 720)(289, 721)(290, 722)(291, 723)(292, 724)(293, 725)(294, 726)(295, 727)(296, 728)(297, 729)(298, 730)(299, 731)(300, 732)(301, 733)(302, 734)(303, 735)(304, 736)(305, 737)(306, 738)(307, 739)(308, 740)(309, 741)(310, 742)(311, 743)(312, 744)(313, 745)(314, 746)(315, 747)(316, 748)(317, 749)(318, 750)(319, 751)(320, 752)(321, 753)(322, 754)(323, 755)(324, 756)(325, 757)(326, 758)(327, 759)(328, 760)(329, 761)(330, 762)(331, 763)(332, 764)(333, 765)(334, 766)(335, 767)(336, 768)(337, 769)(338, 770)(339, 771)(340, 772)(341, 773)(342, 774)(343, 775)(344, 776)(345, 777)(346, 778)(347, 779)(348, 780)(349, 781)(350, 782)(351, 783)(352, 784)(353, 785)(354, 786)(355, 787)(356, 788)(357, 789)(358, 790)(359, 791)(360, 792)(361, 793)(362, 794)(363, 795)(364, 796)(365, 797)(366, 798)(367, 799)(368, 800)(369, 801)(370, 802)(371, 803)(372, 804)(373, 805)(374, 806)(375, 807)(376, 808)(377, 809)(378, 810)(379, 811)(380, 812)(381, 813)(382, 814)(383, 815)(384, 816)(385, 817)(386, 818)(387, 819)(388, 820)(389, 821)(390, 822)(391, 823)(392, 824)(393, 825)(394, 826)(395, 827)(396, 828)(397, 829)(398, 830)(399, 831)(400, 832)(401, 833)(402, 834)(403, 835)(404, 836)(405, 837)(406, 838)(407, 839)(408, 840)(409, 841)(410, 842)(411, 843)(412, 844)(413, 845)(414, 846)(415, 847)(416, 848)(417, 849)(418, 850)(419, 851)(420, 852)(421, 853)(422, 854)(423, 855)(424, 856)(425, 857)(426, 858)(427, 859)(428, 860)(429, 861)(430, 862)(431, 863)(432, 864)
	local type(s) :: { ( 4^3 ), ( 4^8 ) }
Outer automorphisms :: chiral
Dual of E10.984
Transitivity :: ET+
Graph:: simple bipartite
	v = 198 e = 432 f = 216
	degree seq :: [ 3^144, 8^54 ]

E10.983 :: Family: { 5 } :: Oriented family(ies): { E3a }
Signature :: (0; {2, 3, 8})
Quotient :: edge
Aut^+ = (((C3 x C3) : Q8) : C3) : C2 (small group id <432, 734>)
Aut   = (((C3 x C3) : Q8) : C3) : C2 (small group id <432, 734>)
|r| :: 1
Presentation :: [ X2^2, (X2 * X1^-1)^3, X1^8, X2 * X1^2 * X2 * X1^-1 * X2 * X1^2 * X2 * X1^-3 * X2 * X1^4 * X2 * X1^-2, X2 * X1^3 * X2 * X1^-3 * X2 * X1^-3 * X2 * X1^2 * X2 * X1^4 ]
Map:: polytopal
	R = (1, 2, 5, 11, 21, 20, 10, 4)(3, 7, 15, 27, 45, 31, 17, 8)(6, 13, 25, 41, 66, 44, 26, 14)(9, 18, 32, 52, 77, 49, 29, 16)(12, 23, 39, 62, 95, 65, 40, 24)(19, 34, 55, 85, 126, 84, 54, 33)(22, 37, 60, 91, 137, 94, 61, 38)(28, 47, 74, 111, 165, 114, 75, 48)(30, 50, 78, 117, 154, 103, 68, 42)(35, 57, 88, 131, 192, 130, 87, 56)(36, 58, 89, 133, 195, 136, 90, 59)(43, 69, 104, 155, 212, 145, 97, 63)(46, 72, 109, 161, 235, 164, 110, 73)(51, 80, 120, 177, 256, 176, 119, 79)(53, 82, 123, 181, 263, 184, 124, 83)(64, 98, 146, 213, 294, 203, 139, 92)(67, 101, 151, 219, 317, 222, 152, 102)(70, 106, 158, 229, 330, 228, 157, 105)(71, 107, 159, 231, 333, 234, 160, 108)(76, 115, 170, 247, 346, 243, 167, 112)(81, 121, 179, 259, 362, 262, 180, 122)(86, 128, 189, 273, 321, 276, 190, 129)(93, 140, 204, 295, 380, 285, 197, 134)(96, 143, 209, 301, 394, 304, 210, 144)(99, 148, 216, 311, 248, 310, 215, 147)(100, 149, 217, 313, 405, 316, 218, 150)(113, 168, 244, 347, 379, 339, 237, 162)(116, 172, 250, 351, 413, 350, 249, 171)(118, 174, 253, 354, 267, 357, 254, 175)(125, 185, 268, 367, 390, 365, 265, 182)(127, 187, 271, 334, 400, 307, 272, 188)(132, 135, 198, 286, 239, 341, 281, 194)(138, 201, 291, 385, 342, 240, 292, 202)(141, 206, 298, 258, 178, 233, 297, 205)(142, 207, 299, 236, 338, 393, 300, 208)(153, 223, 322, 412, 375, 410, 319, 220)(156, 226, 327, 245, 169, 246, 328, 227)(163, 238, 340, 407, 429, 388, 335, 232)(166, 241, 343, 421, 372, 408, 344, 242)(173, 251, 284, 196, 283, 378, 353, 252)(183, 266, 366, 386, 293, 387, 363, 260)(186, 270, 368, 423, 348, 415, 329, 269)(191, 277, 359, 404, 312, 392, 370, 274)(193, 279, 374, 414, 326, 225, 325, 280)(199, 288, 382, 332, 230, 315, 381, 287)(200, 289, 383, 318, 409, 427, 384, 290)(211, 305, 397, 369, 275, 371, 396, 302)(214, 308, 401, 323, 224, 324, 402, 309)(221, 320, 411, 430, 420, 426, 406, 314)(255, 358, 278, 373, 416, 428, 424, 355)(257, 360, 418, 331, 417, 349, 403, 361)(261, 296, 389, 336, 398, 306, 399, 352)(264, 364, 425, 432, 419, 337, 391, 303)(282, 376, 356, 395, 431, 422, 345, 377)(433, 435)(434, 438)(436, 441)(437, 444)(439, 448)(440, 445)(442, 451)(443, 454)(446, 455)(447, 460)(449, 462)(450, 465)(452, 467)(453, 468)(456, 469)(457, 474)(458, 475)(459, 478)(461, 479)(463, 483)(464, 485)(466, 488)(470, 490)(471, 495)(472, 496)(473, 499)(476, 502)(477, 503)(480, 504)(481, 508)(482, 511)(484, 513)(486, 514)(487, 518)(489, 491)(492, 524)(493, 525)(494, 528)(497, 531)(498, 532)(500, 533)(501, 537)(505, 539)(506, 544)(507, 545)(509, 548)(510, 550)(512, 540)(515, 553)(516, 557)(517, 559)(519, 560)(520, 564)(521, 566)(522, 567)(523, 570)(526, 573)(527, 574)(529, 575)(530, 579)(534, 581)(535, 585)(536, 588)(538, 582)(541, 594)(542, 595)(543, 598)(546, 601)(547, 603)(549, 605)(551, 606)(552, 610)(554, 604)(555, 614)(556, 615)(558, 618)(561, 619)(562, 623)(563, 625)(565, 628)(568, 631)(569, 632)(571, 633)(572, 637)(576, 639)(577, 643)(578, 646)(580, 640)(583, 652)(584, 653)(586, 656)(587, 657)(589, 658)(590, 662)(591, 664)(592, 665)(593, 668)(596, 671)(597, 672)(599, 673)(600, 677)(602, 680)(607, 683)(608, 687)(609, 689)(611, 692)(612, 693)(613, 696)(616, 699)(617, 701)(620, 702)(621, 706)(622, 707)(624, 710)(626, 711)(627, 714)(629, 715)(630, 719)(634, 721)(635, 725)(636, 728)(638, 722)(641, 734)(642, 735)(644, 738)(645, 739)(647, 740)(648, 744)(649, 746)(650, 747)(651, 750)(654, 753)(655, 755)(659, 757)(660, 761)(661, 763)(663, 766)(666, 768)(667, 769)(669, 770)(670, 718)(674, 724)(675, 777)(676, 780)(678, 774)(679, 781)(681, 742)(682, 784)(684, 756)(685, 787)(686, 788)(688, 791)(690, 792)(691, 745)(694, 727)(695, 736)(697, 796)(698, 786)(700, 762)(703, 801)(704, 741)(705, 752)(708, 804)(709, 790)(712, 805)(713, 807)(716, 808)(717, 811)(720, 809)(723, 818)(726, 820)(729, 821)(730, 822)(731, 823)(732, 824)(733, 827)(737, 830)(743, 835)(748, 839)(749, 840)(751, 841)(754, 845)(758, 831)(759, 847)(760, 848)(764, 849)(765, 829)(767, 832)(771, 852)(772, 813)(773, 851)(775, 854)(776, 815)(778, 814)(779, 810)(782, 833)(783, 846)(785, 855)(789, 826)(793, 836)(794, 838)(795, 837)(797, 816)(798, 856)(799, 850)(800, 834)(802, 843)(803, 853)(806, 844)(812, 858)(817, 860)(819, 861)(825, 862)(828, 863)(842, 864)(857, 859)
	L = (1, 433)(2, 434)(3, 435)(4, 436)(5, 437)(6, 438)(7, 439)(8, 440)(9, 441)(10, 442)(11, 443)(12, 444)(13, 445)(14, 446)(15, 447)(16, 448)(17, 449)(18, 450)(19, 451)(20, 452)(21, 453)(22, 454)(23, 455)(24, 456)(25, 457)(26, 458)(27, 459)(28, 460)(29, 461)(30, 462)(31, 463)(32, 464)(33, 465)(34, 466)(35, 467)(36, 468)(37, 469)(38, 470)(39, 471)(40, 472)(41, 473)(42, 474)(43, 475)(44, 476)(45, 477)(46, 478)(47, 479)(48, 480)(49, 481)(50, 482)(51, 483)(52, 484)(53, 485)(54, 486)(55, 487)(56, 488)(57, 489)(58, 490)(59, 491)(60, 492)(61, 493)(62, 494)(63, 495)(64, 496)(65, 497)(66, 498)(67, 499)(68, 500)(69, 501)(70, 502)(71, 503)(72, 504)(73, 505)(74, 506)(75, 507)(76, 508)(77, 509)(78, 510)(79, 511)(80, 512)(81, 513)(82, 514)(83, 515)(84, 516)(85, 517)(86, 518)(87, 519)(88, 520)(89, 521)(90, 522)(91, 523)(92, 524)(93, 525)(94, 526)(95, 527)(96, 528)(97, 529)(98, 530)(99, 531)(100, 532)(101, 533)(102, 534)(103, 535)(104, 536)(105, 537)(106, 538)(107, 539)(108, 540)(109, 541)(110, 542)(111, 543)(112, 544)(113, 545)(114, 546)(115, 547)(116, 548)(117, 549)(118, 550)(119, 551)(120, 552)(121, 553)(122, 554)(123, 555)(124, 556)(125, 557)(126, 558)(127, 559)(128, 560)(129, 561)(130, 562)(131, 563)(132, 564)(133, 565)(134, 566)(135, 567)(136, 568)(137, 569)(138, 570)(139, 571)(140, 572)(141, 573)(142, 574)(143, 575)(144, 576)(145, 577)(146, 578)(147, 579)(148, 580)(149, 581)(150, 582)(151, 583)(152, 584)(153, 585)(154, 586)(155, 587)(156, 588)(157, 589)(158, 590)(159, 591)(160, 592)(161, 593)(162, 594)(163, 595)(164, 596)(165, 597)(166, 598)(167, 599)(168, 600)(169, 601)(170, 602)(171, 603)(172, 604)(173, 605)(174, 606)(175, 607)(176, 608)(177, 609)(178, 610)(179, 611)(180, 612)(181, 613)(182, 614)(183, 615)(184, 616)(185, 617)(186, 618)(187, 619)(188, 620)(189, 621)(190, 622)(191, 623)(192, 624)(193, 625)(194, 626)(195, 627)(196, 628)(197, 629)(198, 630)(199, 631)(200, 632)(201, 633)(202, 634)(203, 635)(204, 636)(205, 637)(206, 638)(207, 639)(208, 640)(209, 641)(210, 642)(211, 643)(212, 644)(213, 645)(214, 646)(215, 647)(216, 648)(217, 649)(218, 650)(219, 651)(220, 652)(221, 653)(222, 654)(223, 655)(224, 656)(225, 657)(226, 658)(227, 659)(228, 660)(229, 661)(230, 662)(231, 663)(232, 664)(233, 665)(234, 666)(235, 667)(236, 668)(237, 669)(238, 670)(239, 671)(240, 672)(241, 673)(242, 674)(243, 675)(244, 676)(245, 677)(246, 678)(247, 679)(248, 680)(249, 681)(250, 682)(251, 683)(252, 684)(253, 685)(254, 686)(255, 687)(256, 688)(257, 689)(258, 690)(259, 691)(260, 692)(261, 693)(262, 694)(263, 695)(264, 696)(265, 697)(266, 698)(267, 699)(268, 700)(269, 701)(270, 702)(271, 703)(272, 704)(273, 705)(274, 706)(275, 707)(276, 708)(277, 709)(278, 710)(279, 711)(280, 712)(281, 713)(282, 714)(283, 715)(284, 716)(285, 717)(286, 718)(287, 719)(288, 720)(289, 721)(290, 722)(291, 723)(292, 724)(293, 725)(294, 726)(295, 727)(296, 728)(297, 729)(298, 730)(299, 731)(300, 732)(301, 733)(302, 734)(303, 735)(304, 736)(305, 737)(306, 738)(307, 739)(308, 740)(309, 741)(310, 742)(311, 743)(312, 744)(313, 745)(314, 746)(315, 747)(316, 748)(317, 749)(318, 750)(319, 751)(320, 752)(321, 753)(322, 754)(323, 755)(324, 756)(325, 757)(326, 758)(327, 759)(328, 760)(329, 761)(330, 762)(331, 763)(332, 764)(333, 765)(334, 766)(335, 767)(336, 768)(337, 769)(338, 770)(339, 771)(340, 772)(341, 773)(342, 774)(343, 775)(344, 776)(345, 777)(346, 778)(347, 779)(348, 780)(349, 781)(350, 782)(351, 783)(352, 784)(353, 785)(354, 786)(355, 787)(356, 788)(357, 789)(358, 790)(359, 791)(360, 792)(361, 793)(362, 794)(363, 795)(364, 796)(365, 797)(366, 798)(367, 799)(368, 800)(369, 801)(370, 802)(371, 803)(372, 804)(373, 805)(374, 806)(375, 807)(376, 808)(377, 809)(378, 810)(379, 811)(380, 812)(381, 813)(382, 814)(383, 815)(384, 816)(385, 817)(386, 818)(387, 819)(388, 820)(389, 821)(390, 822)(391, 823)(392, 824)(393, 825)(394, 826)(395, 827)(396, 828)(397, 829)(398, 830)(399, 831)(400, 832)(401, 833)(402, 834)(403, 835)(404, 836)(405, 837)(406, 838)(407, 839)(408, 840)(409, 841)(410, 842)(411, 843)(412, 844)(413, 845)(414, 846)(415, 847)(416, 848)(417, 849)(418, 850)(419, 851)(420, 852)(421, 853)(422, 854)(423, 855)(424, 856)(425, 857)(426, 858)(427, 859)(428, 860)(429, 861)(430, 862)(431, 863)(432, 864)
	local type(s) :: { ( 6, 6 ), ( 6^8 ) }
Outer automorphisms :: chiral
Dual of E10.985
Transitivity :: ET+
Graph:: simple bipartite
	v = 270 e = 432 f = 144
	degree seq :: [ 2^216, 8^54 ]

E10.984 :: Family: { 5* } :: Oriented family(ies): { E3*a }
Signature :: (0; {2, 3, 8})
Quotient :: loop
Aut^+ = (((C3 x C3) : Q8) : C3) : C2 (small group id <432, 734>)
Aut   = (((C3 x C3) : Q8) : C3) : C2 (small group id <432, 734>)
|r| :: 1
Presentation :: [ X1^2, X2^3, (X2^-1 * X1)^8, (X1 * X2 * X1 * X2^-1)^6, X1 * X2 * X1 * X2^-1 * X1 * X2^-1 * X1 * X2 * X1 * X2^-1 * X1 * X2^-1 * X1 * X2 * X1 * X2 * X1 * X2^-1 * X1 * X2 * X1 * X2 * X1 * X2^-1 ]
Map:: polyhedral non-degenerate
	R = (1, 433, 2, 434)(3, 435, 7, 439)(4, 436, 8, 440)(5, 437, 9, 441)(6, 438, 10, 442)(11, 443, 19, 451)(12, 444, 20, 452)(13, 445, 21, 453)(14, 446, 22, 454)(15, 447, 23, 455)(16, 448, 24, 456)(17, 449, 25, 457)(18, 450, 26, 458)(27, 459, 43, 475)(28, 460, 44, 476)(29, 461, 45, 477)(30, 462, 46, 478)(31, 463, 47, 479)(32, 464, 48, 480)(33, 465, 49, 481)(34, 466, 50, 482)(35, 467, 51, 483)(36, 468, 52, 484)(37, 469, 53, 485)(38, 470, 54, 486)(39, 471, 55, 487)(40, 472, 56, 488)(41, 473, 57, 489)(42, 474, 58, 490)(59, 491, 90, 522)(60, 492, 91, 523)(61, 493, 92, 524)(62, 494, 93, 525)(63, 495, 94, 526)(64, 496, 95, 527)(65, 497, 96, 528)(66, 498, 97, 529)(67, 499, 98, 530)(68, 500, 99, 531)(69, 501, 100, 532)(70, 502, 101, 533)(71, 503, 102, 534)(72, 504, 103, 535)(73, 505, 104, 536)(74, 506, 75, 507)(76, 508, 105, 537)(77, 509, 106, 538)(78, 510, 107, 539)(79, 511, 108, 540)(80, 512, 109, 541)(81, 513, 110, 542)(82, 514, 111, 543)(83, 515, 112, 544)(84, 516, 113, 545)(85, 517, 114, 546)(86, 518, 115, 547)(87, 519, 116, 548)(88, 520, 117, 549)(89, 521, 118, 550)(119, 551, 230, 662)(120, 552, 232, 664)(121, 553, 194, 626)(122, 554, 197, 629)(123, 555, 178, 610)(124, 556, 236, 668)(125, 557, 238, 670)(126, 558, 240, 672)(127, 559, 241, 673)(128, 560, 179, 611)(129, 561, 244, 676)(130, 562, 246, 678)(131, 563, 248, 680)(132, 564, 249, 681)(133, 565, 251, 683)(134, 566, 185, 617)(135, 567, 234, 666)(136, 568, 205, 637)(137, 569, 254, 686)(138, 570, 256, 688)(139, 571, 258, 690)(140, 572, 259, 691)(141, 573, 206, 638)(142, 574, 262, 694)(143, 575, 264, 696)(144, 576, 266, 698)(145, 577, 269, 701)(146, 578, 273, 705)(147, 579, 276, 708)(148, 580, 279, 711)(149, 581, 283, 715)(150, 582, 287, 719)(151, 583, 289, 721)(152, 584, 293, 725)(153, 585, 295, 727)(154, 586, 297, 729)(155, 587, 299, 731)(156, 588, 303, 735)(157, 589, 305, 737)(158, 590, 309, 741)(159, 591, 311, 743)(160, 592, 315, 747)(161, 593, 247, 679)(162, 594, 321, 753)(163, 595, 312, 744)(164, 596, 324, 756)(165, 597, 326, 758)(166, 598, 253, 685)(167, 599, 300, 732)(168, 600, 330, 762)(169, 601, 332, 764)(170, 602, 219, 651)(171, 603, 334, 766)(172, 604, 337, 769)(173, 605, 265, 697)(174, 606, 341, 773)(175, 607, 333, 765)(176, 608, 344, 776)(177, 609, 204, 636)(180, 612, 351, 783)(181, 613, 352, 784)(182, 614, 339, 771)(183, 615, 327, 759)(184, 616, 356, 788)(186, 618, 198, 630)(187, 619, 306, 738)(188, 620, 360, 792)(189, 621, 362, 794)(190, 622, 235, 667)(191, 623, 290, 722)(192, 624, 364, 796)(193, 625, 225, 657)(195, 627, 322, 754)(196, 628, 318, 750)(199, 631, 371, 803)(200, 632, 372, 804)(201, 633, 366, 798)(202, 634, 284, 716)(203, 635, 374, 806)(207, 639, 378, 810)(208, 640, 379, 811)(209, 641, 346, 778)(210, 642, 296, 728)(211, 643, 217, 649)(212, 644, 383, 815)(213, 645, 384, 816)(214, 646, 317, 749)(215, 647, 323, 755)(216, 648, 229, 661)(218, 650, 386, 818)(220, 652, 389, 821)(221, 653, 390, 822)(222, 654, 260, 692)(223, 655, 245, 677)(224, 656, 272, 704)(226, 658, 233, 665)(227, 659, 397, 829)(228, 660, 304, 736)(231, 663, 325, 757)(237, 669, 400, 832)(239, 671, 394, 826)(242, 674, 357, 789)(243, 675, 270, 702)(250, 682, 294, 726)(252, 684, 347, 779)(255, 687, 413, 845)(257, 689, 414, 846)(261, 693, 280, 712)(263, 695, 369, 801)(267, 699, 316, 748)(268, 700, 365, 797)(271, 703, 375, 807)(274, 706, 338, 770)(275, 707, 331, 763)(277, 709, 345, 777)(278, 710, 361, 793)(281, 713, 388, 820)(282, 714, 404, 836)(285, 717, 417, 849)(286, 718, 412, 844)(288, 720, 407, 839)(291, 723, 424, 856)(292, 724, 428, 860)(298, 730, 416, 848)(301, 733, 419, 851)(302, 734, 429, 861)(307, 739, 422, 854)(308, 740, 427, 859)(310, 742, 423, 855)(313, 745, 408, 840)(314, 746, 430, 862)(319, 751, 402, 834)(320, 752, 405, 837)(328, 760, 391, 823)(329, 761, 418, 850)(335, 767, 399, 831)(336, 768, 396, 828)(340, 772, 387, 819)(342, 774, 421, 853)(343, 775, 432, 864)(348, 780, 368, 800)(349, 781, 373, 805)(350, 782, 385, 817)(353, 785, 377, 809)(354, 786, 401, 833)(355, 787, 431, 863)(358, 790, 363, 795)(359, 791, 367, 799)(370, 802, 376, 808)(380, 812, 395, 827)(381, 813, 409, 841)(382, 814, 392, 824)(393, 825, 425, 857)(398, 830, 420, 852)(403, 835, 406, 838)(410, 842, 426, 858)(411, 843, 415, 847)
	L = (1, 435)(2, 437)(3, 436)(4, 433)(5, 438)(6, 434)(7, 443)(8, 445)(9, 447)(10, 449)(11, 444)(12, 439)(13, 446)(14, 440)(15, 448)(16, 441)(17, 450)(18, 442)(19, 459)(20, 461)(21, 463)(22, 465)(23, 467)(24, 469)(25, 471)(26, 473)(27, 460)(28, 451)(29, 462)(30, 452)(31, 464)(32, 453)(33, 466)(34, 454)(35, 468)(36, 455)(37, 470)(38, 456)(39, 472)(40, 457)(41, 474)(42, 458)(43, 491)(44, 493)(45, 495)(46, 497)(47, 499)(48, 501)(49, 503)(50, 505)(51, 507)(52, 509)(53, 511)(54, 513)(55, 515)(56, 517)(57, 519)(58, 521)(59, 492)(60, 475)(61, 494)(62, 476)(63, 496)(64, 477)(65, 498)(66, 478)(67, 500)(68, 479)(69, 502)(70, 480)(71, 504)(72, 481)(73, 506)(74, 482)(75, 508)(76, 483)(77, 510)(78, 484)(79, 512)(80, 485)(81, 514)(82, 486)(83, 516)(84, 487)(85, 518)(86, 488)(87, 520)(88, 489)(89, 522)(90, 490)(91, 551)(92, 553)(93, 555)(94, 557)(95, 559)(96, 561)(97, 563)(98, 529)(99, 564)(100, 566)(101, 568)(102, 570)(103, 572)(104, 574)(105, 578)(106, 630)(107, 651)(108, 653)(109, 627)(110, 585)(111, 656)(112, 543)(113, 584)(114, 636)(115, 657)(116, 659)(117, 633)(118, 579)(119, 552)(120, 523)(121, 554)(122, 524)(123, 556)(124, 525)(125, 558)(126, 526)(127, 560)(128, 527)(129, 562)(130, 528)(131, 530)(132, 565)(133, 531)(134, 567)(135, 532)(136, 569)(137, 533)(138, 571)(139, 534)(140, 573)(141, 535)(142, 575)(143, 536)(144, 699)(145, 702)(146, 706)(147, 709)(148, 712)(149, 716)(150, 693)(151, 722)(152, 713)(153, 669)(154, 634)(155, 732)(156, 675)(157, 738)(158, 623)(159, 744)(160, 748)(161, 750)(162, 717)(163, 687)(164, 703)(165, 631)(166, 723)(167, 761)(168, 700)(169, 621)(170, 599)(171, 758)(172, 770)(173, 658)(174, 619)(175, 727)(176, 777)(177, 779)(178, 595)(179, 764)(180, 664)(181, 645)(182, 628)(183, 676)(184, 696)(185, 767)(186, 733)(187, 774)(188, 707)(189, 625)(190, 739)(191, 742)(192, 710)(193, 601)(194, 745)(195, 766)(196, 786)(197, 663)(198, 792)(199, 637)(200, 751)(201, 643)(202, 730)(203, 695)(204, 808)(205, 597)(206, 794)(207, 683)(208, 613)(209, 665)(210, 694)(211, 549)(212, 539)(213, 640)(214, 684)(215, 548)(216, 678)(217, 803)(218, 820)(219, 644)(220, 605)(221, 823)(222, 816)(223, 708)(224, 544)(225, 827)(226, 652)(227, 647)(228, 831)(229, 832)(230, 667)(231, 765)(232, 773)(233, 813)(234, 682)(235, 796)(236, 836)(237, 542)(238, 668)(239, 772)(240, 594)(241, 679)(242, 648)(243, 736)(244, 787)(245, 635)(246, 674)(247, 838)(248, 576)(249, 685)(250, 743)(251, 741)(252, 818)(253, 762)(254, 844)(255, 610)(256, 686)(257, 780)(258, 596)(259, 697)(260, 616)(261, 720)(262, 814)(263, 677)(264, 692)(265, 847)(266, 846)(267, 680)(268, 755)(269, 852)(270, 704)(271, 690)(272, 577)(273, 804)(274, 537)(275, 759)(276, 826)(277, 550)(278, 728)(279, 857)(280, 714)(281, 545)(282, 580)(283, 858)(284, 718)(285, 672)(286, 581)(287, 841)(288, 582)(289, 843)(290, 724)(291, 760)(292, 583)(293, 753)(294, 731)(295, 775)(296, 624)(297, 650)(298, 586)(299, 802)(300, 734)(301, 791)(302, 587)(303, 833)(304, 588)(305, 835)(306, 740)(307, 795)(308, 589)(309, 639)(310, 590)(311, 666)(312, 746)(313, 799)(314, 591)(315, 853)(316, 749)(317, 592)(318, 752)(319, 805)(320, 593)(321, 756)(322, 737)(323, 600)(324, 725)(325, 721)(326, 768)(327, 620)(328, 598)(329, 602)(330, 681)(331, 715)(332, 782)(333, 629)(334, 541)(335, 790)(336, 603)(337, 855)(338, 771)(339, 604)(340, 837)(341, 612)(342, 606)(343, 607)(344, 850)(345, 778)(346, 608)(347, 781)(348, 821)(349, 609)(350, 611)(351, 848)(352, 842)(353, 859)(354, 614)(355, 615)(356, 845)(357, 811)(358, 617)(359, 618)(360, 538)(361, 701)(362, 809)(363, 622)(364, 662)(365, 711)(366, 784)(367, 626)(368, 661)(369, 698)(370, 726)(371, 819)(372, 806)(373, 632)(374, 705)(375, 719)(376, 546)(377, 638)(378, 660)(379, 830)(380, 860)(381, 641)(382, 642)(383, 839)(384, 825)(385, 861)(386, 646)(387, 649)(388, 729)(389, 689)(390, 815)(391, 540)(392, 785)(393, 654)(394, 655)(395, 547)(396, 862)(397, 812)(398, 789)(399, 810)(400, 800)(401, 849)(402, 788)(403, 754)(404, 670)(405, 671)(406, 673)(407, 822)(408, 783)(409, 807)(410, 798)(411, 757)(412, 688)(413, 834)(414, 801)(415, 691)(416, 840)(417, 735)(418, 854)(419, 769)(420, 793)(421, 856)(422, 776)(423, 851)(424, 747)(425, 797)(426, 763)(427, 824)(428, 829)(429, 863)(430, 864)(431, 817)(432, 828)
	local type(s) :: { ( 3, 8, 3, 8 ) }
Outer automorphisms :: chiral
Dual of E10.982
Transitivity :: ET+ VT+
Graph:: simple
	v = 216 e = 432 f = 198
	degree seq :: [ 4^216 ]

E10.985 :: Family: { 5* } :: Oriented family(ies): { E3*a }
Signature :: (0; {2, 3, 8})
Quotient :: loop
Aut^+ = (((C3 x C3) : Q8) : C3) : C2 (small group id <432, 734>)
Aut   = (((C3 x C3) : Q8) : C3) : C2 (small group id <432, 734>)
|r| :: 1
Presentation :: [ X1^3, (X2 * X1)^2, X2^8, X2 * X1 * X2^3 * X1 * X2 * X1^-1 * X2 * X1^-1, X2^-1 * X1^-1 * X2^2 * X1^-1 * X2^3 * X1 * X2^-2 * X1 * X2^-3 * X1 * X2^-1, (X2^-1 * X1 * X2^-1)^6 ]
Map::
	R = (1, 433, 2, 434, 4, 436)(3, 435, 8, 440, 10, 442)(5, 437, 12, 444, 6, 438)(7, 439, 15, 447, 11, 443)(9, 441, 18, 450, 20, 452)(13, 445, 25, 457, 23, 455)(14, 446, 24, 456, 28, 460)(16, 448, 31, 463, 29, 461)(17, 449, 33, 465, 21, 453)(19, 451, 36, 468, 38, 470)(22, 454, 30, 462, 42, 474)(26, 458, 47, 479, 45, 477)(27, 459, 48, 480, 50, 482)(32, 464, 56, 488, 54, 486)(34, 466, 59, 491, 57, 489)(35, 467, 61, 493, 39, 471)(37, 469, 64, 496, 65, 497)(40, 472, 58, 490, 69, 501)(41, 473, 70, 502, 71, 503)(43, 475, 46, 478, 74, 506)(44, 476, 75, 507, 51, 483)(49, 481, 81, 513, 82, 514)(52, 484, 55, 487, 86, 518)(53, 485, 87, 519, 72, 504)(60, 492, 96, 528, 94, 526)(62, 494, 99, 531, 97, 529)(63, 495, 101, 533, 66, 498)(67, 499, 98, 530, 107, 539)(68, 500, 108, 540, 109, 541)(73, 505, 114, 546, 116, 548)(76, 508, 120, 552, 118, 550)(77, 509, 79, 511, 122, 554)(78, 510, 123, 555, 117, 549)(80, 512, 126, 558, 83, 515)(84, 516, 119, 551, 132, 564)(85, 517, 133, 565, 135, 567)(88, 520, 139, 571, 137, 569)(89, 521, 91, 523, 141, 573)(90, 522, 142, 574, 136, 568)(92, 524, 95, 527, 146, 578)(93, 525, 147, 579, 110, 542)(100, 532, 156, 588, 154, 586)(102, 534, 159, 591, 157, 589)(103, 535, 161, 593, 104, 536)(105, 537, 158, 590, 165, 597)(106, 538, 166, 598, 167, 599)(111, 543, 172, 604, 112, 544)(113, 545, 138, 570, 176, 608)(115, 547, 178, 610, 179, 611)(121, 553, 185, 617, 187, 619)(124, 556, 191, 623, 189, 621)(125, 557, 192, 624, 188, 620)(127, 559, 196, 628, 194, 626)(128, 560, 198, 630, 129, 561)(130, 562, 195, 627, 202, 634)(131, 563, 203, 635, 204, 636)(134, 566, 207, 639, 208, 640)(140, 572, 214, 646, 216, 648)(143, 575, 220, 652, 218, 650)(144, 576, 221, 653, 217, 649)(145, 577, 223, 655, 225, 657)(148, 580, 229, 661, 227, 659)(149, 581, 151, 583, 231, 663)(150, 582, 232, 664, 226, 658)(152, 584, 155, 587, 236, 668)(153, 585, 237, 669, 168, 600)(160, 592, 246, 678, 244, 676)(162, 594, 249, 681, 247, 679)(163, 595, 248, 680, 252, 684)(164, 596, 253, 685, 254, 686)(169, 601, 259, 691, 170, 602)(171, 603, 228, 660, 263, 695)(173, 605, 266, 698, 264, 696)(174, 606, 265, 697, 269, 701)(175, 607, 270, 702, 271, 703)(177, 609, 273, 705, 180, 612)(181, 613, 190, 622, 279, 711)(182, 614, 184, 616, 281, 713)(183, 615, 282, 714, 205, 637)(186, 618, 286, 718, 287, 719)(193, 625, 295, 727, 293, 725)(197, 629, 300, 732, 298, 730)(199, 631, 303, 735, 301, 733)(200, 632, 302, 734, 306, 738)(201, 633, 261, 693, 307, 739)(206, 638, 311, 743, 209, 641)(210, 642, 219, 651, 316, 748)(211, 643, 213, 645, 318, 750)(212, 644, 319, 751, 272, 704)(215, 647, 323, 755, 324, 756)(222, 654, 329, 761, 327, 759)(224, 656, 331, 763, 332, 764)(230, 662, 335, 767, 337, 769)(233, 665, 290, 722, 292, 724)(234, 666, 340, 772, 338, 770)(235, 667, 342, 774, 344, 776)(238, 670, 347, 779, 345, 777)(239, 671, 241, 673, 349, 781)(240, 672, 284, 716, 321, 753)(242, 674, 245, 677, 328, 760)(243, 675, 352, 784, 255, 687)(250, 682, 360, 792, 358, 790)(251, 683, 361, 793, 362, 794)(256, 688, 309, 741, 257, 689)(258, 690, 346, 778, 326, 758)(260, 692, 278, 710, 366, 798)(262, 694, 368, 800, 312, 744)(267, 699, 373, 805, 372, 804)(268, 700, 277, 709, 374, 806)(274, 706, 315, 747, 377, 809)(275, 707, 379, 811, 276, 708)(280, 712, 383, 815, 385, 817)(283, 715, 387, 819, 386, 818)(285, 717, 388, 820, 288, 720)(289, 721, 294, 726, 370, 802)(291, 723, 376, 808, 382, 814)(296, 728, 299, 731, 339, 771)(297, 729, 397, 829, 308, 740)(304, 736, 403, 835, 402, 834)(305, 737, 392, 824, 404, 836)(310, 742, 369, 801, 334, 766)(313, 745, 408, 840, 314, 746)(317, 749, 410, 842, 412, 844)(320, 752, 414, 846, 413, 845)(322, 754, 415, 847, 325, 757)(330, 762, 421, 853, 333, 765)(336, 768, 418, 850, 393, 825)(341, 773, 429, 861, 428, 860)(343, 775, 405, 837, 401, 833)(348, 780, 417, 849, 416, 848)(350, 782, 430, 862, 395, 827)(351, 783, 420, 852, 380, 812)(353, 785, 432, 864, 398, 830)(354, 786, 355, 787, 394, 826)(356, 788, 359, 791, 400, 832)(357, 789, 411, 843, 363, 795)(364, 796, 396, 828, 427, 859)(365, 797, 419, 851, 399, 831)(367, 799, 407, 839, 378, 810)(371, 803, 431, 863, 375, 807)(381, 813, 423, 855, 422, 854)(384, 816, 426, 858, 425, 857)(389, 821, 406, 838, 424, 856)(390, 822, 409, 841, 391, 823)
	L = (1, 435)(2, 438)(3, 441)(4, 443)(5, 433)(6, 446)(7, 434)(8, 436)(9, 451)(10, 453)(11, 454)(12, 455)(13, 437)(14, 459)(15, 461)(16, 439)(17, 440)(18, 442)(19, 469)(20, 471)(21, 472)(22, 473)(23, 475)(24, 444)(25, 477)(26, 445)(27, 481)(28, 483)(29, 484)(30, 447)(31, 486)(32, 448)(33, 489)(34, 449)(35, 450)(36, 452)(37, 458)(38, 498)(39, 499)(40, 500)(41, 492)(42, 504)(43, 505)(44, 456)(45, 509)(46, 457)(47, 497)(48, 460)(49, 464)(50, 515)(51, 516)(52, 517)(53, 462)(54, 521)(55, 463)(56, 514)(57, 524)(58, 465)(59, 526)(60, 466)(61, 529)(62, 467)(63, 468)(64, 470)(65, 536)(66, 537)(67, 538)(68, 532)(69, 542)(70, 474)(71, 544)(72, 545)(73, 547)(74, 549)(75, 550)(76, 476)(77, 553)(78, 478)(79, 479)(80, 480)(81, 482)(82, 561)(83, 562)(84, 563)(85, 566)(86, 568)(87, 569)(88, 485)(89, 572)(90, 487)(91, 488)(92, 577)(93, 490)(94, 581)(95, 491)(96, 503)(97, 584)(98, 493)(99, 586)(100, 494)(101, 589)(102, 495)(103, 496)(104, 595)(105, 596)(106, 592)(107, 600)(108, 501)(109, 602)(110, 603)(111, 502)(112, 606)(113, 607)(114, 506)(115, 508)(116, 612)(117, 613)(118, 614)(119, 507)(120, 611)(121, 618)(122, 620)(123, 621)(124, 510)(125, 511)(126, 626)(127, 512)(128, 513)(129, 632)(130, 633)(131, 629)(132, 637)(133, 518)(134, 520)(135, 641)(136, 642)(137, 643)(138, 519)(139, 640)(140, 647)(141, 649)(142, 650)(143, 522)(144, 523)(145, 656)(146, 658)(147, 659)(148, 525)(149, 662)(150, 527)(151, 528)(152, 667)(153, 530)(154, 671)(155, 531)(156, 541)(157, 674)(158, 533)(159, 676)(160, 534)(161, 679)(162, 535)(163, 683)(164, 682)(165, 687)(166, 539)(167, 689)(168, 690)(169, 540)(170, 693)(171, 694)(172, 696)(173, 543)(174, 700)(175, 699)(176, 704)(177, 546)(178, 548)(179, 708)(180, 709)(181, 710)(182, 712)(183, 551)(184, 552)(185, 554)(186, 556)(187, 720)(188, 721)(189, 722)(190, 555)(191, 719)(192, 725)(193, 557)(194, 728)(195, 558)(196, 730)(197, 559)(198, 733)(199, 560)(200, 737)(201, 736)(202, 740)(203, 564)(204, 688)(205, 742)(206, 565)(207, 567)(208, 746)(209, 685)(210, 747)(211, 749)(212, 570)(213, 571)(214, 573)(215, 575)(216, 757)(217, 677)(218, 727)(219, 574)(220, 756)(221, 759)(222, 576)(223, 578)(224, 580)(225, 765)(226, 731)(227, 761)(228, 579)(229, 764)(230, 768)(231, 770)(232, 724)(233, 582)(234, 583)(235, 775)(236, 753)(237, 777)(238, 585)(239, 780)(240, 587)(241, 588)(242, 783)(243, 590)(244, 786)(245, 591)(246, 599)(247, 788)(248, 593)(249, 790)(250, 594)(251, 625)(252, 795)(253, 597)(254, 743)(255, 796)(256, 598)(257, 702)(258, 797)(259, 798)(260, 601)(261, 634)(262, 799)(263, 801)(264, 802)(265, 604)(266, 804)(267, 605)(268, 773)(269, 807)(270, 608)(271, 741)(272, 808)(273, 809)(274, 609)(275, 610)(276, 813)(277, 701)(278, 810)(279, 814)(280, 816)(281, 672)(282, 818)(283, 615)(284, 616)(285, 617)(286, 619)(287, 823)(288, 824)(289, 698)(290, 825)(291, 622)(292, 623)(293, 652)(294, 624)(295, 794)(296, 828)(297, 627)(298, 831)(299, 628)(300, 636)(301, 832)(302, 630)(303, 834)(304, 631)(305, 654)(306, 837)(307, 691)(308, 782)(309, 635)(310, 838)(311, 800)(312, 638)(313, 639)(314, 841)(315, 839)(316, 778)(317, 843)(318, 716)(319, 845)(320, 644)(321, 645)(322, 646)(323, 648)(324, 849)(325, 850)(326, 651)(327, 661)(328, 653)(329, 836)(330, 655)(331, 657)(332, 855)(333, 793)(334, 660)(335, 663)(336, 665)(337, 858)(338, 791)(339, 664)(340, 860)(341, 666)(342, 668)(343, 670)(344, 822)(345, 861)(346, 669)(347, 833)(348, 815)(349, 827)(350, 673)(351, 863)(352, 830)(353, 675)(354, 754)(355, 678)(356, 735)(357, 680)(358, 819)(359, 681)(360, 686)(361, 684)(362, 853)(363, 844)(364, 745)(365, 732)(366, 711)(367, 692)(368, 695)(369, 714)(370, 862)(371, 697)(372, 821)(373, 703)(374, 705)(375, 812)(376, 787)(377, 748)(378, 706)(379, 852)(380, 707)(381, 842)(382, 751)(383, 713)(384, 715)(385, 848)(386, 792)(387, 857)(388, 856)(389, 717)(390, 718)(391, 840)(392, 738)(393, 847)(394, 723)(395, 726)(396, 784)(397, 864)(398, 729)(399, 762)(400, 772)(401, 734)(402, 846)(403, 739)(404, 820)(405, 776)(406, 805)(407, 744)(408, 859)(409, 774)(410, 750)(411, 752)(412, 854)(413, 835)(414, 789)(415, 826)(416, 755)(417, 781)(418, 769)(419, 758)(420, 760)(421, 851)(422, 763)(423, 811)(424, 766)(425, 767)(426, 817)(427, 771)(428, 779)(429, 806)(430, 829)(431, 785)(432, 803)
	local type(s) :: { ( 2, 8, 2, 8, 2, 8 ) }
Outer automorphisms :: chiral
Dual of E10.983
Transitivity :: ET+ VT+
Graph:: bipartite
	v = 144 e = 432 f = 270
	degree seq :: [ 6^144 ]

E10.986 :: Family: { 5* } :: Oriented family(ies): { E3*a }
Signature :: (0; {2, 3, 8})
Quotient :: loop
Aut^+ = (((C3 x C3) : Q8) : C3) : C2 (small group id <432, 734>)
Aut   = (((C3 x C3) : Q8) : C3) : C2 (small group id <432, 734>)
|r| :: 1
Presentation :: [ X2^2, (X2 * X1^-1)^3, X1^8, X2 * X1^2 * X2 * X1^-1 * X2 * X1^2 * X2 * X1^-3 * X2 * X1^4 * X2 * X1^-2, X2 * X1^3 * X2 * X1^-3 * X2 * X1^-3 * X2 * X1^2 * X2 * X1^4 ]
Map::
	R = (1, 433, 2, 434, 5, 437, 11, 443, 21, 453, 20, 452, 10, 442, 4, 436)(3, 435, 7, 439, 15, 447, 27, 459, 45, 477, 31, 463, 17, 449, 8, 440)(6, 438, 13, 445, 25, 457, 41, 473, 66, 498, 44, 476, 26, 458, 14, 446)(9, 441, 18, 450, 32, 464, 52, 484, 77, 509, 49, 481, 29, 461, 16, 448)(12, 444, 23, 455, 39, 471, 62, 494, 95, 527, 65, 497, 40, 472, 24, 456)(19, 451, 34, 466, 55, 487, 85, 517, 126, 558, 84, 516, 54, 486, 33, 465)(22, 454, 37, 469, 60, 492, 91, 523, 137, 569, 94, 526, 61, 493, 38, 470)(28, 460, 47, 479, 74, 506, 111, 543, 165, 597, 114, 546, 75, 507, 48, 480)(30, 462, 50, 482, 78, 510, 117, 549, 154, 586, 103, 535, 68, 500, 42, 474)(35, 467, 57, 489, 88, 520, 131, 563, 192, 624, 130, 562, 87, 519, 56, 488)(36, 468, 58, 490, 89, 521, 133, 565, 195, 627, 136, 568, 90, 522, 59, 491)(43, 475, 69, 501, 104, 536, 155, 587, 212, 644, 145, 577, 97, 529, 63, 495)(46, 478, 72, 504, 109, 541, 161, 593, 235, 667, 164, 596, 110, 542, 73, 505)(51, 483, 80, 512, 120, 552, 177, 609, 256, 688, 176, 608, 119, 551, 79, 511)(53, 485, 82, 514, 123, 555, 181, 613, 263, 695, 184, 616, 124, 556, 83, 515)(64, 496, 98, 530, 146, 578, 213, 645, 294, 726, 203, 635, 139, 571, 92, 524)(67, 499, 101, 533, 151, 583, 219, 651, 317, 749, 222, 654, 152, 584, 102, 534)(70, 502, 106, 538, 158, 590, 229, 661, 330, 762, 228, 660, 157, 589, 105, 537)(71, 503, 107, 539, 159, 591, 231, 663, 333, 765, 234, 666, 160, 592, 108, 540)(76, 508, 115, 547, 170, 602, 247, 679, 346, 778, 243, 675, 167, 599, 112, 544)(81, 513, 121, 553, 179, 611, 259, 691, 362, 794, 262, 694, 180, 612, 122, 554)(86, 518, 128, 560, 189, 621, 273, 705, 321, 753, 276, 708, 190, 622, 129, 561)(93, 525, 140, 572, 204, 636, 295, 727, 380, 812, 285, 717, 197, 629, 134, 566)(96, 528, 143, 575, 209, 641, 301, 733, 394, 826, 304, 736, 210, 642, 144, 576)(99, 531, 148, 580, 216, 648, 311, 743, 248, 680, 310, 742, 215, 647, 147, 579)(100, 532, 149, 581, 217, 649, 313, 745, 405, 837, 316, 748, 218, 650, 150, 582)(113, 545, 168, 600, 244, 676, 347, 779, 379, 811, 339, 771, 237, 669, 162, 594)(116, 548, 172, 604, 250, 682, 351, 783, 413, 845, 350, 782, 249, 681, 171, 603)(118, 550, 174, 606, 253, 685, 354, 786, 267, 699, 357, 789, 254, 686, 175, 607)(125, 557, 185, 617, 268, 700, 367, 799, 390, 822, 365, 797, 265, 697, 182, 614)(127, 559, 187, 619, 271, 703, 334, 766, 400, 832, 307, 739, 272, 704, 188, 620)(132, 564, 135, 567, 198, 630, 286, 718, 239, 671, 341, 773, 281, 713, 194, 626)(138, 570, 201, 633, 291, 723, 385, 817, 342, 774, 240, 672, 292, 724, 202, 634)(141, 573, 206, 638, 298, 730, 258, 690, 178, 610, 233, 665, 297, 729, 205, 637)(142, 574, 207, 639, 299, 731, 236, 668, 338, 770, 393, 825, 300, 732, 208, 640)(153, 585, 223, 655, 322, 754, 412, 844, 375, 807, 410, 842, 319, 751, 220, 652)(156, 588, 226, 658, 327, 759, 245, 677, 169, 601, 246, 678, 328, 760, 227, 659)(163, 595, 238, 670, 340, 772, 407, 839, 429, 861, 388, 820, 335, 767, 232, 664)(166, 598, 241, 673, 343, 775, 421, 853, 372, 804, 408, 840, 344, 776, 242, 674)(173, 605, 251, 683, 284, 716, 196, 628, 283, 715, 378, 810, 353, 785, 252, 684)(183, 615, 266, 698, 366, 798, 386, 818, 293, 725, 387, 819, 363, 795, 260, 692)(186, 618, 270, 702, 368, 800, 423, 855, 348, 780, 415, 847, 329, 761, 269, 701)(191, 623, 277, 709, 359, 791, 404, 836, 312, 744, 392, 824, 370, 802, 274, 706)(193, 625, 279, 711, 374, 806, 414, 846, 326, 758, 225, 657, 325, 757, 280, 712)(199, 631, 288, 720, 382, 814, 332, 764, 230, 662, 315, 747, 381, 813, 287, 719)(200, 632, 289, 721, 383, 815, 318, 750, 409, 841, 427, 859, 384, 816, 290, 722)(211, 643, 305, 737, 397, 829, 369, 801, 275, 707, 371, 803, 396, 828, 302, 734)(214, 646, 308, 740, 401, 833, 323, 755, 224, 656, 324, 756, 402, 834, 309, 741)(221, 653, 320, 752, 411, 843, 430, 862, 420, 852, 426, 858, 406, 838, 314, 746)(255, 687, 358, 790, 278, 710, 373, 805, 416, 848, 428, 860, 424, 856, 355, 787)(257, 689, 360, 792, 418, 850, 331, 763, 417, 849, 349, 781, 403, 835, 361, 793)(261, 693, 296, 728, 389, 821, 336, 768, 398, 830, 306, 738, 399, 831, 352, 784)(264, 696, 364, 796, 425, 857, 432, 864, 419, 851, 337, 769, 391, 823, 303, 735)(282, 714, 376, 808, 356, 788, 395, 827, 431, 863, 422, 854, 345, 777, 377, 809)
	L = (1, 435)(2, 438)(3, 433)(4, 441)(5, 444)(6, 434)(7, 448)(8, 445)(9, 436)(10, 451)(11, 454)(12, 437)(13, 440)(14, 455)(15, 460)(16, 439)(17, 462)(18, 465)(19, 442)(20, 467)(21, 468)(22, 443)(23, 446)(24, 469)(25, 474)(26, 475)(27, 478)(28, 447)(29, 479)(30, 449)(31, 483)(32, 485)(33, 450)(34, 488)(35, 452)(36, 453)(37, 456)(38, 490)(39, 495)(40, 496)(41, 499)(42, 457)(43, 458)(44, 502)(45, 503)(46, 459)(47, 461)(48, 504)(49, 508)(50, 511)(51, 463)(52, 513)(53, 464)(54, 514)(55, 518)(56, 466)(57, 491)(58, 470)(59, 489)(60, 524)(61, 525)(62, 528)(63, 471)(64, 472)(65, 531)(66, 532)(67, 473)(68, 533)(69, 537)(70, 476)(71, 477)(72, 480)(73, 539)(74, 544)(75, 545)(76, 481)(77, 548)(78, 550)(79, 482)(80, 540)(81, 484)(82, 486)(83, 553)(84, 557)(85, 559)(86, 487)(87, 560)(88, 564)(89, 566)(90, 567)(91, 570)(92, 492)(93, 493)(94, 573)(95, 574)(96, 494)(97, 575)(98, 579)(99, 497)(100, 498)(101, 500)(102, 581)(103, 585)(104, 588)(105, 501)(106, 582)(107, 505)(108, 512)(109, 594)(110, 595)(111, 598)(112, 506)(113, 507)(114, 601)(115, 603)(116, 509)(117, 605)(118, 510)(119, 606)(120, 610)(121, 515)(122, 604)(123, 614)(124, 615)(125, 516)(126, 618)(127, 517)(128, 519)(129, 619)(130, 623)(131, 625)(132, 520)(133, 628)(134, 521)(135, 522)(136, 631)(137, 632)(138, 523)(139, 633)(140, 637)(141, 526)(142, 527)(143, 529)(144, 639)(145, 643)(146, 646)(147, 530)(148, 640)(149, 534)(150, 538)(151, 652)(152, 653)(153, 535)(154, 656)(155, 657)(156, 536)(157, 658)(158, 662)(159, 664)(160, 665)(161, 668)(162, 541)(163, 542)(164, 671)(165, 672)(166, 543)(167, 673)(168, 677)(169, 546)(170, 680)(171, 547)(172, 554)(173, 549)(174, 551)(175, 683)(176, 687)(177, 689)(178, 552)(179, 692)(180, 693)(181, 696)(182, 555)(183, 556)(184, 699)(185, 701)(186, 558)(187, 561)(188, 702)(189, 706)(190, 707)(191, 562)(192, 710)(193, 563)(194, 711)(195, 714)(196, 565)(197, 715)(198, 719)(199, 568)(200, 569)(201, 571)(202, 721)(203, 725)(204, 728)(205, 572)(206, 722)(207, 576)(208, 580)(209, 734)(210, 735)(211, 577)(212, 738)(213, 739)(214, 578)(215, 740)(216, 744)(217, 746)(218, 747)(219, 750)(220, 583)(221, 584)(222, 753)(223, 755)(224, 586)(225, 587)(226, 589)(227, 757)(228, 761)(229, 763)(230, 590)(231, 766)(232, 591)(233, 592)(234, 768)(235, 769)(236, 593)(237, 770)(238, 718)(239, 596)(240, 597)(241, 599)(242, 724)(243, 777)(244, 780)(245, 600)(246, 774)(247, 781)(248, 602)(249, 742)(250, 784)(251, 607)(252, 756)(253, 787)(254, 788)(255, 608)(256, 791)(257, 609)(258, 792)(259, 745)(260, 611)(261, 612)(262, 727)(263, 736)(264, 613)(265, 796)(266, 786)(267, 616)(268, 762)(269, 617)(270, 620)(271, 801)(272, 741)(273, 752)(274, 621)(275, 622)(276, 804)(277, 790)(278, 624)(279, 626)(280, 805)(281, 807)(282, 627)(283, 629)(284, 808)(285, 811)(286, 670)(287, 630)(288, 809)(289, 634)(290, 638)(291, 818)(292, 674)(293, 635)(294, 820)(295, 694)(296, 636)(297, 821)(298, 822)(299, 823)(300, 824)(301, 827)(302, 641)(303, 642)(304, 695)(305, 830)(306, 644)(307, 645)(308, 647)(309, 704)(310, 681)(311, 835)(312, 648)(313, 691)(314, 649)(315, 650)(316, 839)(317, 840)(318, 651)(319, 841)(320, 705)(321, 654)(322, 845)(323, 655)(324, 684)(325, 659)(326, 831)(327, 847)(328, 848)(329, 660)(330, 700)(331, 661)(332, 849)(333, 829)(334, 663)(335, 832)(336, 666)(337, 667)(338, 669)(339, 852)(340, 813)(341, 851)(342, 678)(343, 854)(344, 815)(345, 675)(346, 814)(347, 810)(348, 676)(349, 679)(350, 833)(351, 846)(352, 682)(353, 855)(354, 698)(355, 685)(356, 686)(357, 826)(358, 709)(359, 688)(360, 690)(361, 836)(362, 838)(363, 837)(364, 697)(365, 816)(366, 856)(367, 850)(368, 834)(369, 703)(370, 843)(371, 853)(372, 708)(373, 712)(374, 844)(375, 713)(376, 716)(377, 720)(378, 779)(379, 717)(380, 858)(381, 772)(382, 778)(383, 776)(384, 797)(385, 860)(386, 723)(387, 861)(388, 726)(389, 729)(390, 730)(391, 731)(392, 732)(393, 862)(394, 789)(395, 733)(396, 863)(397, 765)(398, 737)(399, 758)(400, 767)(401, 782)(402, 800)(403, 743)(404, 793)(405, 795)(406, 794)(407, 748)(408, 749)(409, 751)(410, 864)(411, 802)(412, 806)(413, 754)(414, 783)(415, 759)(416, 760)(417, 764)(418, 799)(419, 773)(420, 771)(421, 803)(422, 775)(423, 785)(424, 798)(425, 859)(426, 812)(427, 857)(428, 817)(429, 819)(430, 825)(431, 828)(432, 842)
	local type(s) :: { ( 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3 ) }
Outer automorphisms :: chiral
Dual of E10.981
Transitivity :: ET+ VT+
Graph::
	v = 54 e = 432 f = 360
	degree seq :: [ 16^54 ]

## Checksum: 986 records.
## Written on: Thu Oct 17 10:31:54 CEST 2019